TSTP Solution File: KRS159+1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : KRS159+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n016.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 : Sat Sep 17 17:45:01 EDT 2022
% Result : Theorem 0.21s 0.51s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS159+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Thu Sep 1 10:01:34 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.21/0.51 % SZS status Theorem
% 0.21/0.51 % SZS output start Proof
% 0.21/0.51 tff(ra_Px87_type, type, (
% 0.21/0.51 ra_Px87: ( $i * $i ) > $o)).
% 0.21/0.51 tff(tptp_fun_Y0_108_type, type, (
% 0.21/0.51 tptp_fun_Y0_108: $i > $i)).
% 0.21/0.51 tff(iV21030_type, type, (
% 0.21/0.51 iV21030: $i)).
% 0.21/0.51 tff(cC74_type, type, (
% 0.21/0.51 cC74: $i > $o)).
% 0.21/0.51 tff(cC72xcomp_type, type, (
% 0.21/0.51 cC72xcomp: $i > $o)).
% 0.21/0.51 tff(cC18xcomp_type, type, (
% 0.21/0.51 cC18xcomp: $i > $o)).
% 0.21/0.51 tff(ra_Px24_type, type, (
% 0.21/0.51 ra_Px24: ( $i * $i ) > $o)).
% 0.21/0.51 tff(tptp_fun_Y_107_type, type, (
% 0.21/0.51 tptp_fun_Y_107: $i > $i)).
% 0.21/0.51 tff(cC72_type, type, (
% 0.21/0.51 cC72: $i > $o)).
% 0.21/0.51 tff(tptp_fun_Y0_106_type, type, (
% 0.21/0.51 tptp_fun_Y0_106: $i > $i)).
% 0.21/0.51 tff(cC66_type, type, (
% 0.21/0.51 cC66: $i > $o)).
% 0.21/0.51 tff(rR1_type, type, (
% 0.21/0.51 rR1: ( $i * $i ) > $o)).
% 0.21/0.51 tff(cC2xcomp_type, type, (
% 0.21/0.51 cC2xcomp: $i > $o)).
% 0.21/0.51 tff(tptp_fun_Y_69_type, type, (
% 0.21/0.51 tptp_fun_Y_69: $i > $i)).
% 0.21/0.51 tff(iV21032_type, type, (
% 0.21/0.51 iV21032: $i)).
% 0.21/0.51 tff(cC24_type, type, (
% 0.21/0.51 cC24: $i > $o)).
% 0.21/0.51 tff(iV21027_type, type, (
% 0.21/0.51 iV21027: $i)).
% 0.21/0.51 tff(iV21036_type, type, (
% 0.21/0.51 iV21036: $i)).
% 0.21/0.51 tff(cC44_type, type, (
% 0.21/0.51 cC44: $i > $o)).
% 0.21/0.51 tff(iV21029_type, type, (
% 0.21/0.51 iV21029: $i)).
% 0.21/0.51 tff(iV21034_type, type, (
% 0.21/0.51 iV21034: $i)).
% 0.21/0.51 tff(cC50_type, type, (
% 0.21/0.51 cC50: $i > $o)).
% 0.21/0.51 tff(cC12xcomp_type, type, (
% 0.21/0.51 cC12xcomp: $i > $o)).
% 0.21/0.51 tff(tptp_fun_Y_27_type, type, (
% 0.21/0.51 tptp_fun_Y_27: $i > $i)).
% 0.21/0.51 tff(iV21033_type, type, (
% 0.21/0.51 iV21033: $i)).
% 0.21/0.51 tff(cC30_type, type, (
% 0.21/0.51 cC30: $i > $o)).
% 0.21/0.51 tff(iV21035_type, type, (
% 0.21/0.51 iV21035: $i)).
% 0.21/0.51 tff(cC8_type, type, (
% 0.21/0.51 cC8: $i > $o)).
% 0.21/0.51 tff(iV21026_type, type, (
% 0.21/0.51 iV21026: $i)).
% 0.21/0.51 tff(cC4_type, type, (
% 0.21/0.51 cC4: $i > $o)).
% 0.21/0.51 tff(cC10_type, type, (
% 0.21/0.51 cC10: $i > $o)).
% 0.21/0.51 tff(cC14_type, type, (
% 0.21/0.51 cC14: $i > $o)).
% 0.21/0.51 tff(cC16_type, type, (
% 0.21/0.51 cC16: $i > $o)).
% 0.21/0.51 tff(cC20_type, type, (
% 0.21/0.51 cC20: $i > $o)).
% 0.21/0.51 tff(cC22_type, type, (
% 0.21/0.51 cC22: $i > $o)).
% 0.21/0.51 tff(cC156_type, type, (
% 0.21/0.51 cC156: $i > $o)).
% 0.21/0.51 tff(cC158_type, type, (
% 0.21/0.51 cC158: $i > $o)).
% 0.21/0.51 tff(cC180_type, type, (
% 0.21/0.51 cC180: $i > $o)).
% 0.21/0.51 tff(cTEST_type, type, (
% 0.21/0.51 cTEST: $i > $o)).
% 0.21/0.51 tff(cC86_type, type, (
% 0.21/0.51 cC86: $i > $o)).
% 0.21/0.51 tff(cC84_type, type, (
% 0.21/0.51 cC84: $i > $o)).
% 0.21/0.51 tff(cC82_type, type, (
% 0.21/0.51 cC82: $i > $o)).
% 0.21/0.51 tff(cC80_type, type, (
% 0.21/0.51 cC80: $i > $o)).
% 0.21/0.51 tff(cC64_type, type, (
% 0.21/0.51 cC64: $i > $o)).
% 0.21/0.51 tff(cC62_type, type, (
% 0.21/0.51 cC62: $i > $o)).
% 0.21/0.51 tff(cC60_type, type, (
% 0.21/0.51 cC60: $i > $o)).
% 0.21/0.51 tff(cC42_type, type, (
% 0.21/0.51 cC42: $i > $o)).
% 0.21/0.51 tff(cC58_type, type, (
% 0.21/0.51 cC58: $i > $o)).
% 0.21/0.51 tff(cC38_type, type, (
% 0.21/0.51 cC38: $i > $o)).
% 0.21/0.51 tff(cC40_type, type, (
% 0.21/0.51 cC40: $i > $o)).
% 0.21/0.51 tff(cTOP_type, type, (
% 0.21/0.51 cTOP: $i > $o)).
% 0.21/0.51 tff(cC36_type, type, (
% 0.21/0.51 cC36: $i > $o)).
% 0.21/0.51 tff(cC34xcomp_type, type, (
% 0.21/0.51 cC34xcomp: $i > $o)).
% 0.21/0.51 tff(cC28xcomp_type, type, (
% 0.21/0.51 cC28xcomp: $i > $o)).
% 0.21/0.51 tff(cC56_type, type, (
% 0.21/0.51 cC56: $i > $o)).
% 0.21/0.51 tff(cC54xcomp_type, type, (
% 0.21/0.51 cC54xcomp: $i > $o)).
% 0.21/0.51 tff(cC48xcomp_type, type, (
% 0.21/0.51 cC48xcomp: $i > $o)).
% 0.21/0.51 tff(cC78_type, type, (
% 0.21/0.51 cC78: $i > $o)).
% 0.21/0.51 tff(cC76xcomp_type, type, (
% 0.21/0.51 cC76xcomp: $i > $o)).
% 0.21/0.51 tff(cC70xcomp_type, type, (
% 0.21/0.51 cC70xcomp: $i > $o)).
% 0.21/0.51 tff(cC134_type, type, (
% 0.21/0.51 cC134: $i > $o)).
% 0.21/0.51 tff(cC136_type, type, (
% 0.21/0.51 cC136: $i > $o)).
% 0.21/0.51 tff(cC138_type, type, (
% 0.21/0.51 cC138: $i > $o)).
% 0.21/0.51 tff(cC154_type, type, (
% 0.21/0.51 cC154: $i > $o)).
% 0.21/0.51 tff(cC168_type, type, (
% 0.21/0.51 cC168: $i > $o)).
% 0.21/0.51 tff(cC166xcomp_type, type, (
% 0.21/0.51 cC166xcomp: $i > $o)).
% 0.21/0.51 tff(cC162xcomp_type, type, (
% 0.21/0.51 cC162xcomp: $i > $o)).
% 0.21/0.51 tff(cC130_type, type, (
% 0.21/0.51 cC130: $i > $o)).
% 0.21/0.51 tff(cC128xcomp_type, type, (
% 0.21/0.51 cC128xcomp: $i > $o)).
% 0.21/0.51 tff(cC122xcomp_type, type, (
% 0.21/0.51 cC122xcomp: $i > $o)).
% 0.21/0.51 tff(cC88_type, type, (
% 0.21/0.51 cC88: $i > $o)).
% 0.21/0.51 tff(cC152_type, type, (
% 0.21/0.51 cC152: $i > $o)).
% 0.21/0.51 tff(cC150xcomp_type, type, (
% 0.21/0.51 cC150xcomp: $i > $o)).
% 0.21/0.51 tff(cC144xcomp_type, type, (
% 0.21/0.51 cC144xcomp: $i > $o)).
% 0.21/0.51 tff(cC116_type, type, (
% 0.21/0.51 cC116: $i > $o)).
% 0.21/0.51 tff(cC132_type, type, (
% 0.21/0.51 cC132: $i > $o)).
% 0.21/0.51 tff(cC112_type, type, (
% 0.21/0.51 cC112: $i > $o)).
% 0.21/0.51 tff(cC114_type, type, (
% 0.21/0.51 cC114: $i > $o)).
% 0.21/0.51 tff(cC174_type, type, (
% 0.21/0.51 cC174: $i > $o)).
% 0.21/0.51 tff(cC172xcomp_type, type, (
% 0.21/0.51 cC172xcomp: $i > $o)).
% 0.21/0.51 tff(cC90_type, type, (
% 0.21/0.51 cC90: $i > $o)).
% 0.21/0.51 tff(cC110_type, type, (
% 0.21/0.51 cC110: $i > $o)).
% 0.21/0.51 tff(cC108_type, type, (
% 0.21/0.51 cC108: $i > $o)).
% 0.21/0.51 tff(cC98xcomp_type, type, (
% 0.21/0.51 cC98xcomp: $i > $o)).
% 0.21/0.51 tff(cC106xcomp_type, type, (
% 0.21/0.51 cC106xcomp: $i > $o)).
% 0.21/0.51 tff(cowlThing_type, type, (
% 0.21/0.51 cowlThing: $i > $o)).
% 0.21/0.51 tff(xsd_integer_type, type, (
% 0.21/0.51 xsd_integer: $i > $o)).
% 0.21/0.51 tff(xsd_string_type, type, (
% 0.21/0.51 xsd_string: $i > $o)).
% 0.21/0.51 tff(cowlNothing_type, type, (
% 0.21/0.51 cowlNothing: $i > $o)).
% 0.21/0.51 tff(cC74xcomp_type, type, (
% 0.21/0.51 cC74xcomp: $i > $o)).
% 0.21/0.51 tff(tptp_fun_Y_109_type, type, (
% 0.21/0.51 tptp_fun_Y_109: $i > $i)).
% 0.21/0.51 tff(1,assumption,((~(cC72xcomp(iV21030) | ra_Px24(iV21030, tptp_fun_Y_107(iV21030)))) | (~((~cC72xcomp(iV21030)) | ![Y: $i] : (~ra_Px24(iV21030, Y))))), introduced(assumption)).
% 0.21/0.51 tff(2,plain,
% 0.21/0.51 (^[X: $i] : rewrite((~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))))) <=> (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(3,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))))) <=> ![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[2])).
% 0.21/0.51 tff(4,plain,
% 0.21/0.51 (^[X: $i] : refl((~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))))) <=> (~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(5,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))))) <=> ![X: $i] : (~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[4])).
% 0.21/0.51 tff(6,plain,
% 0.21/0.51 (^[X: $i] : rewrite((~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))))) <=> (~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(7,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))))) <=> ![X: $i] : (~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[6])).
% 0.21/0.51 tff(8,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))))) <=> ![X: $i] : (~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))))))),
% 0.21/0.51 inference(transitivity,[status(thm)],[7, 5])).
% 0.21/0.51 tff(9,plain,
% 0.21/0.51 (^[X: $i] : trans(monotonicity(rewrite(((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y))) <=> ((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))), ((((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y))) & (cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) <=> (((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y))) & (cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))))), rewrite((((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y))) & (cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) <=> (~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))))))), ((((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y))) & (cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) <=> (~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(10,plain,
% 0.21/0.51 (![X: $i] : (((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y))) & (cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) <=> ![X: $i] : (~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[9])).
% 0.21/0.51 tff(11,plain,
% 0.21/0.51 (![X: $i] : (cC72xcomp(X) <=> (~?[Y: $i] : ra_Px24(X, Y))) <=> ![X: $i] : (cC72xcomp(X) <=> (~?[Y: $i] : ra_Px24(X, Y)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(12,axiom,(![X: $i] : (cC72xcomp(X) <=> (~?[Y: $i] : ra_Px24(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_160')).
% 0.21/0.51 tff(13,plain,
% 0.21/0.51 (![X: $i] : (cC72xcomp(X) <=> (~?[Y: $i] : ra_Px24(X, Y)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[12, 11])).
% 0.21/0.51 tff(14,plain,(
% 0.21/0.51 ![X: $i] : (((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y))) & (cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))))),
% 0.21/0.51 inference(skolemize,[status(sab)],[13])).
% 0.21/0.51 tff(15,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))))))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[14, 10])).
% 0.21/0.51 tff(16,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y)))) | (~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X))))))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[15, 8])).
% 0.21/0.51 tff(17,plain,
% 0.21/0.51 (![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y))))))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[16, 3])).
% 0.21/0.51 tff(18,plain,
% 0.21/0.51 ((~![X: $i] : (~((~(cC72xcomp(X) | ra_Px24(X, tptp_fun_Y_107(X)))) | (~((~cC72xcomp(X)) | ![Y: $i] : (~ra_Px24(X, Y))))))) | (~((~(cC72xcomp(iV21030) | ra_Px24(iV21030, tptp_fun_Y_107(iV21030)))) | (~((~cC72xcomp(iV21030)) | ![Y: $i] : (~ra_Px24(iV21030, Y))))))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(19,plain,
% 0.21/0.51 ($false),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[18, 17, 1])).
% 0.21/0.51 tff(20,plain,(~((~(cC72xcomp(iV21030) | ra_Px24(iV21030, tptp_fun_Y_107(iV21030)))) | (~((~cC72xcomp(iV21030)) | ![Y: $i] : (~ra_Px24(iV21030, Y)))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.51 tff(21,plain,
% 0.21/0.51 (((~(cC72xcomp(iV21030) | ra_Px24(iV21030, tptp_fun_Y_107(iV21030)))) | (~((~cC72xcomp(iV21030)) | ![Y: $i] : (~ra_Px24(iV21030, Y))))) | (cC72xcomp(iV21030) | ra_Px24(iV21030, tptp_fun_Y_107(iV21030)))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(22,plain,
% 0.21/0.51 (cC72xcomp(iV21030) | ra_Px24(iV21030, tptp_fun_Y_107(iV21030))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[21, 20])).
% 0.21/0.51 tff(23,assumption,(ra_Px24(iV21030, tptp_fun_Y_107(iV21030))), introduced(assumption)).
% 0.21/0.51 tff(24,plain,
% 0.21/0.51 (^[X: $i] : refl((~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))) <=> (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(25,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))) <=> ![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[24])).
% 0.21/0.51 tff(26,plain,
% 0.21/0.51 (^[X: $i] : rewrite((~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))) <=> (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(27,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))) <=> ![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[26])).
% 0.21/0.51 tff(28,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))) <=> ![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))),
% 0.21/0.51 inference(transitivity,[status(thm)],[27, 25])).
% 0.21/0.51 tff(29,plain,
% 0.21/0.51 (^[X: $i] : trans(monotonicity(rewrite((cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))) <=> (cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))), ((((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X))) & (cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))) <=> (((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X))) & (cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))))), rewrite((((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X))) & (cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))) <=> (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))), ((((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X))) & (cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))) <=> (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(30,plain,
% 0.21/0.51 (![X: $i] : (((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X))) & (cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0)))) <=> ![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[29])).
% 0.21/0.51 tff(31,plain,
% 0.21/0.51 (![X: $i] : (cC72(X) <=> ?[Y0: $i] : ra_Px24(X, Y0)) <=> ![X: $i] : (cC72(X) <=> ?[Y0: $i] : ra_Px24(X, Y0))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(32,axiom,(![X: $i] : (cC72(X) <=> ?[Y0: $i] : ra_Px24(X, Y0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_158')).
% 0.21/0.51 tff(33,plain,
% 0.21/0.51 (![X: $i] : (cC72(X) <=> ?[Y0: $i] : ra_Px24(X, Y0))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.21/0.51 tff(34,plain,(
% 0.21/0.51 ![X: $i] : (((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X))) & (cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))),
% 0.21/0.51 inference(skolemize,[status(sab)],[33])).
% 0.21/0.51 tff(35,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[34, 30])).
% 0.21/0.51 tff(36,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[35, 28])).
% 0.21/0.51 tff(37,plain,
% 0.21/0.51 ((~![X: $i] : (~((~((~cC72(X)) | ra_Px24(X, tptp_fun_Y0_106(X)))) | (~(cC72(X) | ![Y0: $i] : (~ra_Px24(X, Y0))))))) | (~((~((~cC72(iV21030)) | ra_Px24(iV21030, tptp_fun_Y0_106(iV21030)))) | (~(cC72(iV21030) | ![Y0: $i] : (~ra_Px24(iV21030, Y0))))))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(38,plain,
% 0.21/0.51 (~((~((~cC72(iV21030)) | ra_Px24(iV21030, tptp_fun_Y0_106(iV21030)))) | (~(cC72(iV21030) | ![Y0: $i] : (~ra_Px24(iV21030, Y0)))))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[37, 36])).
% 0.21/0.51 tff(39,plain,
% 0.21/0.51 (((~((~cC72(iV21030)) | ra_Px24(iV21030, tptp_fun_Y0_106(iV21030)))) | (~(cC72(iV21030) | ![Y0: $i] : (~ra_Px24(iV21030, Y0))))) | (cC72(iV21030) | ![Y0: $i] : (~ra_Px24(iV21030, Y0)))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(40,plain,
% 0.21/0.51 (cC72(iV21030) | ![Y0: $i] : (~ra_Px24(iV21030, Y0))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[39, 38])).
% 0.21/0.51 tff(41,assumption,((~((~cC66(iV21030)) | (~((~rR1(iV21030, tptp_fun_Y_69(iV21030))) | (~cC2xcomp(tptp_fun_Y_69(iV21030))))))) | (~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))))), introduced(assumption)).
% 0.21/0.51 tff(42,plain,
% 0.21/0.51 (^[X: $i] : refl((~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(43,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[42])).
% 0.21/0.51 tff(44,plain,
% 0.21/0.51 (^[X: $i] : rewrite((~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(45,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[44])).
% 0.21/0.51 tff(46,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.51 inference(transitivity,[status(thm)],[45, 43])).
% 0.21/0.51 tff(47,plain,
% 0.21/0.51 (^[X: $i] : trans(monotonicity(rewrite(((~cC66(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) <=> ((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))), rewrite((cC66(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y)))) <=> (cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))), ((((~cC66(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC66(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> (((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X)))))) & (cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))), rewrite((((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X)))))) & (cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))) <=> (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))), ((((~cC66(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC66(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(48,plain,
% 0.21/0.51 (![X: $i] : (((~cC66(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC66(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> ![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[47])).
% 0.21/0.51 tff(49,plain,
% 0.21/0.51 (![X: $i] : (cC66(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y))) <=> ![X: $i] : (cC66(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(50,axiom,(![X: $i] : (cC66(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_150')).
% 0.21/0.51 tff(51,plain,
% 0.21/0.51 (![X: $i] : (cC66(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[50, 49])).
% 0.21/0.51 tff(52,plain,(
% 0.21/0.51 ![X: $i] : (((~cC66(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC66(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y)))))),
% 0.21/0.51 inference(skolemize,[status(sab)],[51])).
% 0.21/0.51 tff(53,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[52, 48])).
% 0.21/0.51 tff(54,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[53, 46])).
% 0.21/0.51 tff(55,plain,
% 0.21/0.51 ((~![X: $i] : (~((~((~cC66(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC66(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC66(iV21030)) | (~((~rR1(iV21030, tptp_fun_Y_69(iV21030))) | (~cC2xcomp(tptp_fun_Y_69(iV21030))))))) | (~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))))))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(56,plain,
% 0.21/0.51 ($false),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[55, 54, 41])).
% 0.21/0.51 tff(57,plain,(~((~((~cC66(iV21030)) | (~((~rR1(iV21030, tptp_fun_Y_69(iV21030))) | (~cC2xcomp(tptp_fun_Y_69(iV21030))))))) | (~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.51 tff(58,plain,
% 0.21/0.51 (((~((~cC66(iV21030)) | (~((~rR1(iV21030, tptp_fun_Y_69(iV21030))) | (~cC2xcomp(tptp_fun_Y_69(iV21030))))))) | (~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))))) | (cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(59,plain,
% 0.21/0.51 (cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[58, 57])).
% 0.21/0.51 tff(60,assumption,(![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))), introduced(assumption)).
% 0.21/0.51 tff(61,plain,
% 0.21/0.51 (cC2xcomp(iV21032) <=> cC2xcomp(iV21032)),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(62,axiom,(cC2xcomp(iV21032)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_312')).
% 0.21/0.51 tff(63,plain,
% 0.21/0.51 (cC2xcomp(iV21032)),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[62, 61])).
% 0.21/0.51 tff(64,plain,
% 0.21/0.51 (rR1(iV21030, iV21032) <=> rR1(iV21030, iV21032)),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(65,axiom,(rR1(iV21030, iV21032)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_309')).
% 0.21/0.51 tff(66,plain,
% 0.21/0.51 (rR1(iV21030, iV21032)),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[65, 64])).
% 0.21/0.51 tff(67,plain,
% 0.21/0.51 (((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))) | ((~cC2xcomp(iV21032)) | (~rR1(iV21030, iV21032)))) <=> ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))) | (~cC2xcomp(iV21032)) | (~rR1(iV21030, iV21032)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(68,plain,
% 0.21/0.51 ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))) | ((~cC2xcomp(iV21032)) | (~rR1(iV21030, iV21032)))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(69,plain,
% 0.21/0.51 ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))) | (~cC2xcomp(iV21032)) | (~rR1(iV21030, iV21032))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[68, 67])).
% 0.21/0.51 tff(70,plain,
% 0.21/0.51 ($false),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[69, 66, 63, 60])).
% 0.21/0.51 tff(71,plain,(~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.51 tff(72,plain,
% 0.21/0.51 ((~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))) | cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y)))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(73,plain,
% 0.21/0.51 ((~(cC66(iV21030) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21030, Y))))) | cC66(iV21030)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[72, 71])).
% 0.21/0.51 tff(74,plain,
% 0.21/0.51 (cC66(iV21030)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[73, 59])).
% 0.21/0.51 tff(75,assumption,((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027)))))))), introduced(assumption)).
% 0.21/0.51 tff(76,plain,
% 0.21/0.51 (^[X: $i] : refl((~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(77,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[76])).
% 0.21/0.51 tff(78,plain,
% 0.21/0.51 (^[X: $i] : rewrite((~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(79,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[78])).
% 0.21/0.51 tff(80,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.51 inference(transitivity,[status(thm)],[79, 77])).
% 0.21/0.51 tff(81,plain,
% 0.21/0.51 (^[X: $i] : trans(monotonicity(rewrite(((~cC24(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) <=> ((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))), rewrite((cC24(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y)))) <=> (cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))), ((((~cC24(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC24(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> (((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X)))))) & (cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))), rewrite((((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X)))))) & (cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))) <=> (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))), ((((~cC24(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC24(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(82,plain,
% 0.21/0.51 (![X: $i] : (((~cC24(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC24(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> ![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[81])).
% 0.21/0.51 tff(83,plain,
% 0.21/0.51 (![X: $i] : (cC24(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y))) <=> ![X: $i] : (cC24(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(84,axiom,(![X: $i] : (cC24(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_102')).
% 0.21/0.51 tff(85,plain,
% 0.21/0.51 (![X: $i] : (cC24(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[84, 83])).
% 0.21/0.51 tff(86,plain,(
% 0.21/0.51 ![X: $i] : (((~cC24(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC24(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y)))))),
% 0.21/0.51 inference(skolemize,[status(sab)],[85])).
% 0.21/0.51 tff(87,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[86, 82])).
% 0.21/0.51 tff(88,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[87, 80])).
% 0.21/0.51 tff(89,plain,
% 0.21/0.51 (((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027)))))))))) <=> ((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027))))))))))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(90,plain,
% 0.21/0.51 ((~((~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027))))))) | (~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))))) <=> (~((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027)))))))))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(91,plain,
% 0.21/0.51 (((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027))))))) | (~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))))))) <=> ((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027))))))))))),
% 0.21/0.51 inference(monotonicity,[status(thm)],[90])).
% 0.21/0.51 tff(92,plain,
% 0.21/0.51 (((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027))))))) | (~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))))))) <=> ((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027))))))))))),
% 0.21/0.51 inference(transitivity,[status(thm)],[91, 89])).
% 0.21/0.51 tff(93,plain,
% 0.21/0.51 ((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027))))))) | (~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))))))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(94,plain,
% 0.21/0.51 ((~![X: $i] : (~((~((~cC24(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC24(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027)))))))))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[93, 92])).
% 0.21/0.51 tff(95,plain,
% 0.21/0.51 ($false),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[94, 88, 75])).
% 0.21/0.51 tff(96,plain,(~((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027))))))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.51 tff(97,plain,
% 0.21/0.51 (((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | (~((~cC24(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_69(iV21027))) | (~cC2xcomp(tptp_fun_Y_69(iV21027)))))))) | (cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(98,plain,
% 0.21/0.51 (cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[97, 96])).
% 0.21/0.51 tff(99,assumption,(![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))), introduced(assumption)).
% 0.21/0.51 tff(100,plain,
% 0.21/0.51 (cC2xcomp(iV21036) <=> cC2xcomp(iV21036)),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(101,axiom,(cC2xcomp(iV21036)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_337')).
% 0.21/0.51 tff(102,plain,
% 0.21/0.51 (cC2xcomp(iV21036)),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[101, 100])).
% 0.21/0.51 tff(103,plain,
% 0.21/0.51 (rR1(iV21027, iV21036) <=> rR1(iV21027, iV21036)),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(104,axiom,(rR1(iV21027, iV21036)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_252')).
% 0.21/0.51 tff(105,plain,
% 0.21/0.51 (rR1(iV21027, iV21036)),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.21/0.51 tff(106,plain,
% 0.21/0.51 (((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))) | ((~cC2xcomp(iV21036)) | (~rR1(iV21027, iV21036)))) <=> ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))) | (~cC2xcomp(iV21036)) | (~rR1(iV21027, iV21036)))),
% 0.21/0.51 inference(rewrite,[status(thm)],[])).
% 0.21/0.51 tff(107,plain,
% 0.21/0.51 ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))) | ((~cC2xcomp(iV21036)) | (~rR1(iV21027, iV21036)))),
% 0.21/0.51 inference(quant_inst,[status(thm)],[])).
% 0.21/0.51 tff(108,plain,
% 0.21/0.51 ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))) | (~cC2xcomp(iV21036)) | (~rR1(iV21027, iV21036))),
% 0.21/0.51 inference(modus_ponens,[status(thm)],[107, 106])).
% 0.21/0.51 tff(109,plain,
% 0.21/0.51 ($false),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[108, 105, 102, 99])).
% 0.21/0.51 tff(110,plain,(~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.51 tff(111,plain,
% 0.21/0.51 ((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y)))),
% 0.21/0.51 inference(tautology,[status(thm)],[])).
% 0.21/0.51 tff(112,plain,
% 0.21/0.51 ((~(cC24(iV21027) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21027, Y))))) | cC24(iV21027)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[111, 110])).
% 0.21/0.51 tff(113,plain,
% 0.21/0.51 (cC24(iV21027)),
% 0.21/0.51 inference(unit_resolution,[status(thm)],[112, 98])).
% 0.21/0.51 tff(114,assumption,((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029)))))))), introduced(assumption)).
% 0.21/0.51 tff(115,plain,
% 0.21/0.51 (^[X: $i] : refl((~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(116,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[115])).
% 0.21/0.51 tff(117,plain,
% 0.21/0.51 (^[X: $i] : rewrite((~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.21/0.51 inference(bind,[status(th)],[])).
% 0.21/0.51 tff(118,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.51 inference(quant_intro,[status(thm)],[117])).
% 0.21/0.51 tff(119,plain,
% 0.21/0.51 (![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.51 inference(transitivity,[status(thm)],[118, 116])).
% 0.21/0.51 tff(120,plain,
% 0.21/0.51 (^[X: $i] : trans(monotonicity(rewrite(((~cC44(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) <=> ((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))), rewrite((cC44(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y)))) <=> (cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))), ((((~cC44(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC44(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> (((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X)))))) & (cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))))), rewrite((((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X)))))) & (cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y))))) <=> (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))), ((((~cC44(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC44(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(121,plain,
% 0.21/0.52 (![X: $i] : (((~cC44(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC44(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y))))) <=> ![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[120])).
% 0.21/0.52 tff(122,plain,
% 0.21/0.52 (![X: $i] : (cC44(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y))) <=> ![X: $i] : (cC44(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(123,axiom,(![X: $i] : (cC44(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_125')).
% 0.21/0.52 tff(124,plain,
% 0.21/0.52 (![X: $i] : (cC44(X) <=> ?[Y: $i] : (rR1(X, Y) & cC2xcomp(Y)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[123, 122])).
% 0.21/0.52 tff(125,plain,(
% 0.21/0.52 ![X: $i] : (((~cC44(X)) | (rR1(X, tptp_fun_Y_69(X)) & cC2xcomp(tptp_fun_Y_69(X)))) & (cC44(X) | ![Y: $i] : (~(rR1(X, Y) & cC2xcomp(Y)))))),
% 0.21/0.52 inference(skolemize,[status(sab)],[124])).
% 0.21/0.52 tff(126,plain,
% 0.21/0.52 (![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[125, 121])).
% 0.21/0.52 tff(127,plain,
% 0.21/0.52 (![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[126, 119])).
% 0.21/0.52 tff(128,plain,
% 0.21/0.52 (((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029)))))))))) <=> ((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029))))))))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(129,plain,
% 0.21/0.52 ((~((~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029))))))) | (~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))))) <=> (~((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029)))))))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(130,plain,
% 0.21/0.52 (((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029))))))) | (~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))))))) <=> ((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029))))))))))),
% 0.21/0.52 inference(monotonicity,[status(thm)],[129])).
% 0.21/0.52 tff(131,plain,
% 0.21/0.52 (((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029))))))) | (~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))))))) <=> ((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029))))))))))),
% 0.21/0.52 inference(transitivity,[status(thm)],[130, 128])).
% 0.21/0.52 tff(132,plain,
% 0.21/0.52 ((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029))))))) | (~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))))))),
% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(133,plain,
% 0.21/0.52 ((~![X: $i] : (~((~((~cC44(X)) | (~((~rR1(X, tptp_fun_Y_69(X))) | (~cC2xcomp(tptp_fun_Y_69(X))))))) | (~(cC44(X) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029)))))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.21/0.52 tff(134,plain,
% 0.21/0.52 ($false),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[133, 127, 114])).
% 0.21/0.52 tff(135,plain,(~((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029))))))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.52 tff(136,plain,
% 0.21/0.52 (((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | (~((~cC44(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_69(iV21029))) | (~cC2xcomp(tptp_fun_Y_69(iV21029)))))))) | (cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))),
% 0.21/0.52 inference(tautology,[status(thm)],[])).
% 0.21/0.52 tff(137,plain,
% 0.21/0.52 (cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[136, 135])).
% 0.21/0.52 tff(138,assumption,(![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))), introduced(assumption)).
% 0.21/0.52 tff(139,plain,
% 0.21/0.52 (cC2xcomp(iV21034) <=> cC2xcomp(iV21034)),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(140,axiom,(cC2xcomp(iV21034)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_325')).
% 0.21/0.52 tff(141,plain,
% 0.21/0.52 (cC2xcomp(iV21034)),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.21/0.52 tff(142,plain,
% 0.21/0.52 (rR1(iV21029, iV21034) <=> rR1(iV21029, iV21034)),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(143,axiom,(rR1(iV21029, iV21034)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_281')).
% 0.21/0.52 tff(144,plain,
% 0.21/0.52 (rR1(iV21029, iV21034)),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[143, 142])).
% 0.21/0.52 tff(145,plain,
% 0.21/0.52 (((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))) | ((~cC2xcomp(iV21034)) | (~rR1(iV21029, iV21034)))) <=> ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))) | (~cC2xcomp(iV21034)) | (~rR1(iV21029, iV21034)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(146,plain,
% 0.21/0.52 ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))) | ((~cC2xcomp(iV21034)) | (~rR1(iV21029, iV21034)))),
% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(147,plain,
% 0.21/0.52 ((~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))) | (~cC2xcomp(iV21034)) | (~rR1(iV21029, iV21034))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[146, 145])).
% 0.21/0.52 tff(148,plain,
% 0.21/0.52 ($false),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[147, 144, 141, 138])).
% 0.21/0.52 tff(149,plain,(~![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.52 tff(150,plain,
% 0.21/0.52 ((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y)))),
% 0.21/0.52 inference(tautology,[status(thm)],[])).
% 0.21/0.52 tff(151,plain,
% 0.21/0.52 ((~(cC44(iV21029) | ![Y: $i] : ((~cC2xcomp(Y)) | (~rR1(iV21029, Y))))) | cC44(iV21029)),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[150, 149])).
% 0.21/0.52 tff(152,plain,
% 0.21/0.52 (cC44(iV21029)),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[151, 137])).
% 0.21/0.52 tff(153,assumption,((~((~cC50(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_27(iV21029))) | (~cC12xcomp(tptp_fun_Y_27(iV21029))))))) | (~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))))), introduced(assumption)).
% 0.21/0.52 tff(154,plain,
% 0.21/0.52 (^[X: $i] : refl((~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(155,plain,
% 0.21/0.52 (![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[154])).
% 0.21/0.52 tff(156,plain,
% 0.21/0.52 (^[X: $i] : rewrite((~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(157,plain,
% 0.21/0.52 (![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[156])).
% 0.21/0.52 tff(158,plain,
% 0.21/0.52 (![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.52 inference(transitivity,[status(thm)],[157, 155])).
% 0.21/0.52 tff(159,plain,
% 0.21/0.52 (^[X: $i] : trans(monotonicity(rewrite(((~cC50(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) <=> ((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))), rewrite((cC50(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y)))) <=> (cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))), ((((~cC50(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC50(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y))))) <=> (((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X)))))) & (cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))), rewrite((((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X)))))) & (cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))) <=> (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))), ((((~cC50(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC50(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y))))) <=> (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(160,plain,
% 0.21/0.52 (![X: $i] : (((~cC50(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC50(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y))))) <=> ![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[159])).
% 0.21/0.52 tff(161,plain,
% 0.21/0.52 (![X: $i] : (cC50(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y))) <=> ![X: $i] : (cC50(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(162,axiom,(![X: $i] : (cC50(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_133')).
% 0.21/0.52 tff(163,plain,
% 0.21/0.52 (![X: $i] : (cC50(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[162, 161])).
% 0.21/0.52 tff(164,plain,(
% 0.21/0.52 ![X: $i] : (((~cC50(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC50(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y)))))),
% 0.21/0.52 inference(skolemize,[status(sab)],[163])).
% 0.21/0.52 tff(165,plain,
% 0.21/0.52 (![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[164, 160])).
% 0.21/0.52 tff(166,plain,
% 0.21/0.52 (![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[165, 158])).
% 0.21/0.52 tff(167,plain,
% 0.21/0.52 ((~![X: $i] : (~((~((~cC50(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC50(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))) | (~((~((~cC50(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_27(iV21029))) | (~cC12xcomp(tptp_fun_Y_27(iV21029))))))) | (~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))))))),
% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(168,plain,
% 0.21/0.52 ($false),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[167, 166, 153])).
% 0.21/0.52 tff(169,plain,(~((~((~cC50(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_27(iV21029))) | (~cC12xcomp(tptp_fun_Y_27(iV21029))))))) | (~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.52 tff(170,plain,
% 0.21/0.52 (((~((~cC50(iV21029)) | (~((~rR1(iV21029, tptp_fun_Y_27(iV21029))) | (~cC12xcomp(tptp_fun_Y_27(iV21029))))))) | (~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))))) | (cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))),
% 0.21/0.52 inference(tautology,[status(thm)],[])).
% 0.21/0.52 tff(171,plain,
% 0.21/0.52 (cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[170, 169])).
% 0.21/0.52 tff(172,assumption,(![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))), introduced(assumption)).
% 0.21/0.52 tff(173,plain,
% 0.21/0.52 (cC12xcomp(iV21033) <=> cC12xcomp(iV21033)),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(174,axiom,(cC12xcomp(iV21033)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_319')).
% 0.21/0.52 tff(175,plain,
% 0.21/0.52 (cC12xcomp(iV21033)),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[174, 173])).
% 0.21/0.52 tff(176,plain,
% 0.21/0.52 (rR1(iV21029, iV21033) <=> rR1(iV21029, iV21033)),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(177,axiom,(rR1(iV21029, iV21033)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_282')).
% 0.21/0.52 tff(178,plain,
% 0.21/0.52 (rR1(iV21029, iV21033)),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.21/0.52 tff(179,plain,
% 0.21/0.52 (((~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))) | ((~cC12xcomp(iV21033)) | (~rR1(iV21029, iV21033)))) <=> ((~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))) | (~cC12xcomp(iV21033)) | (~rR1(iV21029, iV21033)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(180,plain,
% 0.21/0.52 ((~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))) | ((~cC12xcomp(iV21033)) | (~rR1(iV21029, iV21033)))),
% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(181,plain,
% 0.21/0.52 ((~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))) | (~cC12xcomp(iV21033)) | (~rR1(iV21029, iV21033))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[180, 179])).
% 0.21/0.52 tff(182,plain,
% 0.21/0.52 ($false),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[181, 178, 175, 172])).
% 0.21/0.52 tff(183,plain,(~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.52 tff(184,plain,
% 0.21/0.52 ((~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))) | cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y)))),
% 0.21/0.52 inference(tautology,[status(thm)],[])).
% 0.21/0.52 tff(185,plain,
% 0.21/0.52 ((~(cC50(iV21029) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21029, Y))))) | cC50(iV21029)),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[184, 183])).
% 0.21/0.52 tff(186,plain,
% 0.21/0.52 (cC50(iV21029)),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[185, 171])).
% 0.21/0.52 tff(187,assumption,((~((~cC30(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_27(iV21027))) | (~cC12xcomp(tptp_fun_Y_27(iV21027))))))) | (~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y)))))), introduced(assumption)).
% 0.21/0.52 tff(188,plain,
% 0.21/0.52 (^[X: $i] : refl((~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(189,plain,
% 0.21/0.52 (![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[188])).
% 0.21/0.52 tff(190,plain,
% 0.21/0.52 (^[X: $i] : rewrite((~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(191,plain,
% 0.21/0.52 (![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[190])).
% 0.21/0.52 tff(192,plain,
% 0.21/0.52 (![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))) <=> ![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.52 inference(transitivity,[status(thm)],[191, 189])).
% 0.21/0.52 tff(193,plain,
% 0.21/0.52 (^[X: $i] : trans(monotonicity(rewrite(((~cC30(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) <=> ((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))), rewrite((cC30(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y)))) <=> (cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))), ((((~cC30(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC30(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y))))) <=> (((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X)))))) & (cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))))), rewrite((((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X)))))) & (cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y))))) <=> (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))), ((((~cC30(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC30(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y))))) <=> (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(194,plain,
% 0.21/0.52 (![X: $i] : (((~cC30(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC30(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y))))) <=> ![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[193])).
% 0.21/0.52 tff(195,plain,
% 0.21/0.52 (![X: $i] : (cC30(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y))) <=> ![X: $i] : (cC30(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(196,axiom,(![X: $i] : (cC30(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_111')).
% 0.21/0.52 tff(197,plain,
% 0.21/0.52 (![X: $i] : (cC30(X) <=> ?[Y: $i] : (rR1(X, Y) & cC12xcomp(Y)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[196, 195])).
% 0.21/0.52 tff(198,plain,(
% 0.21/0.52 ![X: $i] : (((~cC30(X)) | (rR1(X, tptp_fun_Y_27(X)) & cC12xcomp(tptp_fun_Y_27(X)))) & (cC30(X) | ![Y: $i] : (~(rR1(X, Y) & cC12xcomp(Y)))))),
% 0.21/0.52 inference(skolemize,[status(sab)],[197])).
% 0.21/0.52 tff(199,plain,
% 0.21/0.52 (![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[198, 194])).
% 0.21/0.52 tff(200,plain,
% 0.21/0.52 (![X: $i] : (~((~((~cC30(X)) | (~((~rR1(X, tptp_fun_Y_27(X))) | (~cC12xcomp(tptp_fun_Y_27(X))))))) | (~(cC30(X) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(X, Y)))))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[199, 192])).
% 0.21/0.52 tff(201,plain,
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% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(202,plain,
% 0.21/0.52 ($false),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[201, 200, 187])).
% 0.21/0.52 tff(203,plain,(~((~((~cC30(iV21027)) | (~((~rR1(iV21027, tptp_fun_Y_27(iV21027))) | (~cC12xcomp(tptp_fun_Y_27(iV21027))))))) | (~(cC30(iV21027) | ![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y))))))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.52 tff(204,plain,
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% 0.21/0.52 inference(tautology,[status(thm)],[])).
% 0.21/0.52 tff(205,plain,
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% 0.21/0.52 inference(unit_resolution,[status(thm)],[204, 203])).
% 0.21/0.52 tff(206,assumption,(![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y)))), introduced(assumption)).
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% 0.21/0.52 (cC12xcomp(iV21035) <=> cC12xcomp(iV21035)),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(208,axiom,(cC12xcomp(iV21035)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_331')).
% 0.21/0.52 tff(209,plain,
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% 0.21/0.52 inference(modus_ponens,[status(thm)],[208, 207])).
% 0.21/0.52 tff(210,plain,
% 0.21/0.52 (rR1(iV21027, iV21035) <=> rR1(iV21027, iV21035)),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(211,axiom,(rR1(iV21027, iV21035)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_253')).
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% 0.21/0.52 (rR1(iV21027, iV21035)),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[211, 210])).
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% 0.21/0.52 inference(rewrite,[status(thm)],[])).
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% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
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% 0.21/0.52 ((~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y)))) | (~cC12xcomp(iV21035)) | (~rR1(iV21027, iV21035))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[214, 213])).
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% 0.21/0.52 inference(unit_resolution,[status(thm)],[215, 212, 209, 206])).
% 0.21/0.52 tff(217,plain,(~![Y: $i] : ((~cC12xcomp(Y)) | (~rR1(iV21027, Y)))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.52 tff(218,plain,
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% 0.21/0.52 inference(tautology,[status(thm)],[])).
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% 0.21/0.52 inference(unit_resolution,[status(thm)],[218, 217])).
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% 0.21/0.52 inference(unit_resolution,[status(thm)],[219, 205])).
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% 0.21/0.52 inference(bind,[status(th)],[])).
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% 0.21/0.52 inference(quant_intro,[status(thm)],[221])).
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% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(224,plain,
% 0.21/0.52 (![X: $i] : (cC10(X) <=> (cC8(X) & cC4(X))) <=> ![X: $i] : (cC10(X) <=> (~((~cC4(X)) | (~cC8(X)))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[223])).
% 0.21/0.52 tff(225,plain,
% 0.21/0.52 (![X: $i] : (cC10(X) <=> (cC8(X) & cC4(X))) <=> ![X: $i] : (cC10(X) <=> (cC8(X) & cC4(X)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(226,axiom,(![X: $i] : (cC10(X) <=> (cC8(X) & cC4(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_2')).
% 0.21/0.52 tff(227,plain,
% 0.21/0.52 (![X: $i] : (cC10(X) <=> (cC8(X) & cC4(X)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[226, 225])).
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% 0.21/0.52 ![X: $i] : (cC10(X) <=> (cC8(X) & cC4(X)))),
% 0.21/0.52 inference(skolemize,[status(sab)],[227])).
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% 0.21/0.52 inference(modus_ponens,[status(thm)],[228, 224])).
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% 0.21/0.52 inference(modus_ponens,[status(thm)],[229, 222])).
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% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(232,plain,
% 0.21/0.52 (cC10(iV21026) <=> (~((~cC4(iV21026)) | (~cC8(iV21026))))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[231, 230])).
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% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(234,plain,
% 0.21/0.52 (![X: $i] : (cC16(X) <=> (~((~cC10(X)) | (~cC14(X))))) <=> ![X: $i] : (cC16(X) <=> (~((~cC10(X)) | (~cC14(X)))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[233])).
% 0.21/0.52 tff(235,plain,
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% 0.21/0.52 inference(bind,[status(th)],[])).
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% 0.21/0.52 (![X: $i] : (cC16(X) <=> (cC10(X) & cC14(X))) <=> ![X: $i] : (cC16(X) <=> (~((~cC10(X)) | (~cC14(X)))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[235])).
% 0.21/0.52 tff(237,plain,
% 0.21/0.52 (![X: $i] : (cC16(X) <=> (cC10(X) & cC14(X))) <=> ![X: $i] : (cC16(X) <=> (cC10(X) & cC14(X)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(238,axiom,(![X: $i] : (cC16(X) <=> (cC10(X) & cC14(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_67')).
% 0.21/0.52 tff(239,plain,
% 0.21/0.52 (![X: $i] : (cC16(X) <=> (cC10(X) & cC14(X)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[238, 237])).
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% 0.21/0.52 ![X: $i] : (cC16(X) <=> (cC10(X) & cC14(X)))),
% 0.21/0.52 inference(skolemize,[status(sab)],[239])).
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% 0.21/0.52 (![X: $i] : (cC16(X) <=> (~((~cC10(X)) | (~cC14(X)))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[240, 236])).
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% 0.21/0.52 (![X: $i] : (cC16(X) <=> (~((~cC10(X)) | (~cC14(X)))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[241, 234])).
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% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(244,plain,
% 0.21/0.52 (cC16(iV21026) <=> (~((~cC10(iV21026)) | (~cC14(iV21026))))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[243, 242])).
% 0.21/0.52 tff(245,plain,
% 0.21/0.52 (^[X: $i] : refl((cC22(X) <=> (~((~cC20(X)) | (~cC16(X))))) <=> (cC22(X) <=> (~((~cC20(X)) | (~cC16(X))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(246,plain,
% 0.21/0.52 (![X: $i] : (cC22(X) <=> (~((~cC20(X)) | (~cC16(X))))) <=> ![X: $i] : (cC22(X) <=> (~((~cC20(X)) | (~cC16(X)))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[245])).
% 0.21/0.52 tff(247,plain,
% 0.21/0.52 (^[X: $i] : rewrite((cC22(X) <=> (cC20(X) & cC16(X))) <=> (cC22(X) <=> (~((~cC20(X)) | (~cC16(X))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(248,plain,
% 0.21/0.52 (![X: $i] : (cC22(X) <=> (cC20(X) & cC16(X))) <=> ![X: $i] : (cC22(X) <=> (~((~cC20(X)) | (~cC16(X)))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[247])).
% 0.21/0.52 tff(249,plain,
% 0.21/0.52 (![X: $i] : (cC22(X) <=> (cC20(X) & cC16(X))) <=> ![X: $i] : (cC22(X) <=> (cC20(X) & cC16(X)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(250,axiom,(![X: $i] : (cC22(X) <=> (cC20(X) & cC16(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_100')).
% 0.21/0.52 tff(251,plain,
% 0.21/0.52 (![X: $i] : (cC22(X) <=> (cC20(X) & cC16(X)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[250, 249])).
% 0.21/0.52 tff(252,plain,(
% 0.21/0.52 ![X: $i] : (cC22(X) <=> (cC20(X) & cC16(X)))),
% 0.21/0.52 inference(skolemize,[status(sab)],[251])).
% 0.21/0.52 tff(253,plain,
% 0.21/0.52 (![X: $i] : (cC22(X) <=> (~((~cC20(X)) | (~cC16(X)))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[252, 248])).
% 0.21/0.52 tff(254,plain,
% 0.21/0.52 (![X: $i] : (cC22(X) <=> (~((~cC20(X)) | (~cC16(X)))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[253, 246])).
% 0.21/0.52 tff(255,plain,
% 0.21/0.52 (((~![X: $i] : (cC22(X) <=> (~((~cC20(X)) | (~cC16(X)))))) | (cC22(iV21026) <=> (~((~cC16(iV21026)) | (~cC20(iV21026)))))) <=> ((~![X: $i] : (cC22(X) <=> (~((~cC20(X)) | (~cC16(X)))))) | (cC22(iV21026) <=> (~((~cC16(iV21026)) | (~cC20(iV21026))))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(256,plain,
% 0.21/0.52 ((cC22(iV21026) <=> (~((~cC20(iV21026)) | (~cC16(iV21026))))) <=> (cC22(iV21026) <=> (~((~cC16(iV21026)) | (~cC20(iV21026)))))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(257,plain,
% 0.21/0.52 (((~![X: $i] : (cC22(X) <=> (~((~cC20(X)) | (~cC16(X)))))) | (cC22(iV21026) <=> (~((~cC20(iV21026)) | (~cC16(iV21026)))))) <=> ((~![X: $i] : (cC22(X) <=> (~((~cC20(X)) | (~cC16(X)))))) | (cC22(iV21026) <=> (~((~cC16(iV21026)) | (~cC20(iV21026))))))),
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% 0.21/0.52 inference(transitivity,[status(thm)],[257, 255])).
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% 0.21/0.52 ((~![X: $i] : (cC22(X) <=> (~((~cC20(X)) | (~cC16(X)))))) | (cC22(iV21026) <=> (~((~cC20(iV21026)) | (~cC16(iV21026)))))),
% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(260,plain,
% 0.21/0.52 ((~![X: $i] : (cC22(X) <=> (~((~cC20(X)) | (~cC16(X)))))) | (cC22(iV21026) <=> (~((~cC16(iV21026)) | (~cC20(iV21026)))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[259, 258])).
% 0.21/0.52 tff(261,plain,
% 0.21/0.52 (cC22(iV21026) <=> (~((~cC16(iV21026)) | (~cC20(iV21026))))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[260, 254])).
% 0.21/0.52 tff(262,plain,
% 0.21/0.52 (^[X: $i] : refl((cC158(X) <=> (~((~cC22(X)) | (~cC156(X))))) <=> (cC158(X) <=> (~((~cC22(X)) | (~cC156(X))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(263,plain,
% 0.21/0.52 (![X: $i] : (cC158(X) <=> (~((~cC22(X)) | (~cC156(X))))) <=> ![X: $i] : (cC158(X) <=> (~((~cC22(X)) | (~cC156(X)))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[262])).
% 0.21/0.52 tff(264,plain,
% 0.21/0.52 (^[X: $i] : rewrite((cC158(X) <=> (cC22(X) & cC156(X))) <=> (cC158(X) <=> (~((~cC22(X)) | (~cC156(X))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
% 0.21/0.52 tff(265,plain,
% 0.21/0.52 (![X: $i] : (cC158(X) <=> (cC22(X) & cC156(X))) <=> ![X: $i] : (cC158(X) <=> (~((~cC22(X)) | (~cC156(X)))))),
% 0.21/0.52 inference(quant_intro,[status(thm)],[264])).
% 0.21/0.52 tff(266,plain,
% 0.21/0.52 (![X: $i] : (cC158(X) <=> (cC22(X) & cC156(X))) <=> ![X: $i] : (cC158(X) <=> (cC22(X) & cC156(X)))),
% 0.21/0.52 inference(rewrite,[status(thm)],[])).
% 0.21/0.52 tff(267,axiom,(![X: $i] : (cC158(X) <=> (cC22(X) & cC156(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_66')).
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% 0.21/0.52 (![X: $i] : (cC158(X) <=> (cC22(X) & cC156(X)))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[267, 266])).
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% 0.21/0.52 ![X: $i] : (cC158(X) <=> (cC22(X) & cC156(X)))),
% 0.21/0.52 inference(skolemize,[status(sab)],[268])).
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% 0.21/0.52 (![X: $i] : (cC158(X) <=> (~((~cC22(X)) | (~cC156(X)))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[269, 265])).
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% 0.21/0.52 (![X: $i] : (cC158(X) <=> (~((~cC22(X)) | (~cC156(X)))))),
% 0.21/0.52 inference(modus_ponens,[status(thm)],[270, 263])).
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% 0.21/0.52 ((~![X: $i] : (cC158(X) <=> (~((~cC22(X)) | (~cC156(X)))))) | (cC158(iV21026) <=> (~((~cC22(iV21026)) | (~cC156(iV21026)))))),
% 0.21/0.52 inference(quant_inst,[status(thm)],[])).
% 0.21/0.52 tff(273,plain,
% 0.21/0.52 (cC158(iV21026) <=> (~((~cC22(iV21026)) | (~cC156(iV21026))))),
% 0.21/0.52 inference(unit_resolution,[status(thm)],[272, 271])).
% 0.21/0.52 tff(274,plain,
% 0.21/0.52 (^[X: $i] : refl((cTEST(X) <=> (~((~cC158(X)) | (~cC180(X))))) <=> (cTEST(X) <=> (~((~cC158(X)) | (~cC180(X))))))),
% 0.21/0.52 inference(bind,[status(th)],[])).
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% 0.21/0.53 inference(unit_resolution,[status(thm)],[304, 303])).
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% 0.21/0.53 inference(bind,[status(th)],[])).
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% 0.21/0.53 inference(rewrite,[status(thm)],[])).
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% 0.21/0.53 (![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X))) <=> ![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(357,axiom,(![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_146')).
% 0.21/0.53 tff(358,plain,
% 0.21/0.53 (![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[357, 356])).
% 0.21/0.53 tff(359,plain,(
% 0.21/0.53 ![X: $i] : (cC60(X) <=> (cC58(X) & cC42(X)))),
% 0.21/0.53 inference(skolemize,[status(sab)],[358])).
% 0.21/0.53 tff(360,plain,
% 0.21/0.53 (![X: $i] : (cC60(X) <=> (~((~cC58(X)) | (~cC42(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[359, 355])).
% 0.21/0.53 tff(361,plain,
% 0.21/0.53 (![X: $i] : (cC60(X) <=> (~((~cC58(X)) | (~cC42(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[360, 353])).
% 0.21/0.53 tff(362,plain,
% 0.21/0.53 ((~![X: $i] : (cC60(X) <=> (~((~cC58(X)) | (~cC42(X)))))) | (cC60(iV21026) <=> (~((~cC58(iV21026)) | (~cC42(iV21026)))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(363,plain,
% 0.21/0.53 (cC60(iV21026) <=> (~((~cC58(iV21026)) | (~cC42(iV21026))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[362, 361])).
% 0.21/0.53 tff(364,plain,
% 0.21/0.53 (^[X: $i] : refl((cC42(X) <=> (~((~cC40(X)) | (~cC38(X))))) <=> (cC42(X) <=> (~((~cC40(X)) | (~cC38(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(365,plain,
% 0.21/0.53 (![X: $i] : (cC42(X) <=> (~((~cC40(X)) | (~cC38(X))))) <=> ![X: $i] : (cC42(X) <=> (~((~cC40(X)) | (~cC38(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[364])).
% 0.21/0.53 tff(366,plain,
% 0.21/0.53 (^[X: $i] : rewrite((cC42(X) <=> (cC40(X) & cC38(X))) <=> (cC42(X) <=> (~((~cC40(X)) | (~cC38(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(367,plain,
% 0.21/0.53 (![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X))) <=> ![X: $i] : (cC42(X) <=> (~((~cC40(X)) | (~cC38(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[366])).
% 0.21/0.53 tff(368,plain,
% 0.21/0.53 (![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X))) <=> ![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(369,axiom,(![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_123')).
% 0.21/0.53 tff(370,plain,
% 0.21/0.53 (![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[369, 368])).
% 0.21/0.53 tff(371,plain,(
% 0.21/0.53 ![X: $i] : (cC42(X) <=> (cC40(X) & cC38(X)))),
% 0.21/0.53 inference(skolemize,[status(sab)],[370])).
% 0.21/0.53 tff(372,plain,
% 0.21/0.53 (![X: $i] : (cC42(X) <=> (~((~cC40(X)) | (~cC38(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[371, 367])).
% 0.21/0.53 tff(373,plain,
% 0.21/0.53 (![X: $i] : (cC42(X) <=> (~((~cC40(X)) | (~cC38(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[372, 365])).
% 0.21/0.53 tff(374,plain,
% 0.21/0.53 ((~![X: $i] : (cC42(X) <=> (~((~cC40(X)) | (~cC38(X)))))) | (cC42(iV21026) <=> (~((~cC40(iV21026)) | (~cC38(iV21026)))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(375,plain,
% 0.21/0.53 (cC42(iV21026) <=> (~((~cC40(iV21026)) | (~cC38(iV21026))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[374, 373])).
% 0.21/0.53 tff(376,plain,
% 0.21/0.53 (^[X: $i] : refl((cC38(X) <=> (~((~cC36(X)) | (~cTOP(X))))) <=> (cC38(X) <=> (~((~cC36(X)) | (~cTOP(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(377,plain,
% 0.21/0.53 (![X: $i] : (cC38(X) <=> (~((~cC36(X)) | (~cTOP(X))))) <=> ![X: $i] : (cC38(X) <=> (~((~cC36(X)) | (~cTOP(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[376])).
% 0.21/0.53 tff(378,plain,
% 0.21/0.53 (^[X: $i] : rewrite((cC38(X) <=> (cC36(X) & cTOP(X))) <=> (cC38(X) <=> (~((~cC36(X)) | (~cTOP(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(379,plain,
% 0.21/0.53 (![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X))) <=> ![X: $i] : (cC38(X) <=> (~((~cC36(X)) | (~cTOP(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[378])).
% 0.21/0.53 tff(380,plain,
% 0.21/0.53 (![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X))) <=> ![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(381,axiom,(![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_120')).
% 0.21/0.53 tff(382,plain,
% 0.21/0.53 (![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[381, 380])).
% 0.21/0.53 tff(383,plain,(
% 0.21/0.53 ![X: $i] : (cC38(X) <=> (cC36(X) & cTOP(X)))),
% 0.21/0.53 inference(skolemize,[status(sab)],[382])).
% 0.21/0.53 tff(384,plain,
% 0.21/0.53 (![X: $i] : (cC38(X) <=> (~((~cC36(X)) | (~cTOP(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[383, 379])).
% 0.21/0.53 tff(385,plain,
% 0.21/0.53 (![X: $i] : (cC38(X) <=> (~((~cC36(X)) | (~cTOP(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[384, 377])).
% 0.21/0.53 tff(386,plain,
% 0.21/0.53 ((~![X: $i] : (cC38(X) <=> (~((~cC36(X)) | (~cTOP(X)))))) | (cC38(iV21026) <=> (~((~cC36(iV21026)) | (~cTOP(iV21026)))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(387,plain,
% 0.21/0.53 (cC38(iV21026) <=> (~((~cC36(iV21026)) | (~cTOP(iV21026))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[386, 385])).
% 0.21/0.53 tff(388,plain,
% 0.21/0.53 (^[X: $i] : refl((cC36(X) <=> (~((~cC28xcomp(X)) | (~cC34xcomp(X))))) <=> (cC36(X) <=> (~((~cC28xcomp(X)) | (~cC34xcomp(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(389,plain,
% 0.21/0.53 (![X: $i] : (cC36(X) <=> (~((~cC28xcomp(X)) | (~cC34xcomp(X))))) <=> ![X: $i] : (cC36(X) <=> (~((~cC28xcomp(X)) | (~cC34xcomp(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[388])).
% 0.21/0.53 tff(390,plain,
% 0.21/0.53 (^[X: $i] : rewrite((cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X))) <=> (cC36(X) <=> (~((~cC28xcomp(X)) | (~cC34xcomp(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(391,plain,
% 0.21/0.53 (![X: $i] : (cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X))) <=> ![X: $i] : (cC36(X) <=> (~((~cC28xcomp(X)) | (~cC34xcomp(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[390])).
% 0.21/0.53 tff(392,plain,
% 0.21/0.53 (![X: $i] : (cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X))) <=> ![X: $i] : (cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(393,axiom,(![X: $i] : (cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_119')).
% 0.21/0.53 tff(394,plain,
% 0.21/0.53 (![X: $i] : (cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[393, 392])).
% 0.21/0.53 tff(395,plain,(
% 0.21/0.53 ![X: $i] : (cC36(X) <=> (cC34xcomp(X) & cC28xcomp(X)))),
% 0.21/0.53 inference(skolemize,[status(sab)],[394])).
% 0.21/0.53 tff(396,plain,
% 0.21/0.53 (![X: $i] : (cC36(X) <=> (~((~cC28xcomp(X)) | (~cC34xcomp(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[395, 391])).
% 0.21/0.53 tff(397,plain,
% 0.21/0.53 (![X: $i] : (cC36(X) <=> (~((~cC28xcomp(X)) | (~cC34xcomp(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[396, 389])).
% 0.21/0.53 tff(398,plain,
% 0.21/0.53 ((~![X: $i] : (cC36(X) <=> (~((~cC28xcomp(X)) | (~cC34xcomp(X)))))) | (cC36(iV21026) <=> (~((~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026)))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(399,plain,
% 0.21/0.53 (cC36(iV21026) <=> (~((~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[398, 397])).
% 0.21/0.53 tff(400,plain,
% 0.21/0.53 (cC28xcomp(iV21026) <=> cC28xcomp(iV21026)),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(401,axiom,(cC28xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_205')).
% 0.21/0.53 tff(402,plain,
% 0.21/0.53 (cC28xcomp(iV21026)),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[401, 400])).
% 0.21/0.53 tff(403,plain,
% 0.21/0.53 (cC34xcomp(iV21026) <=> cC34xcomp(iV21026)),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(404,axiom,(cC34xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_203')).
% 0.21/0.53 tff(405,plain,
% 0.21/0.53 (cC34xcomp(iV21026)),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[404, 403])).
% 0.21/0.53 tff(406,plain,
% 0.21/0.53 ((~((~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026)))) | (~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(407,plain,
% 0.21/0.53 (~((~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[406, 405, 402])).
% 0.21/0.53 tff(408,plain,
% 0.21/0.53 ((~(cC36(iV21026) <=> (~((~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026)))))) | cC36(iV21026) | ((~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026)))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(409,plain,
% 0.21/0.53 ((~(cC36(iV21026) <=> (~((~cC28xcomp(iV21026)) | (~cC34xcomp(iV21026)))))) | cC36(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[408, 407])).
% 0.21/0.53 tff(410,plain,
% 0.21/0.53 (cC36(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[409, 399])).
% 0.21/0.53 tff(411,plain,
% 0.21/0.53 (cTOP(iV21026) <=> cTOP(iV21026)),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(412,axiom,(cTOP(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_190')).
% 0.21/0.53 tff(413,plain,
% 0.21/0.53 (cTOP(iV21026)),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[412, 411])).
% 0.21/0.53 tff(414,plain,
% 0.21/0.53 ((~((~cC36(iV21026)) | (~cTOP(iV21026)))) | (~cC36(iV21026)) | (~cTOP(iV21026))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(415,plain,
% 0.21/0.53 ((~((~cC36(iV21026)) | (~cTOP(iV21026)))) | (~cC36(iV21026))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[414, 413])).
% 0.21/0.53 tff(416,plain,
% 0.21/0.53 (~((~cC36(iV21026)) | (~cTOP(iV21026)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[415, 410])).
% 0.21/0.53 tff(417,plain,
% 0.21/0.53 ((~(cC38(iV21026) <=> (~((~cC36(iV21026)) | (~cTOP(iV21026)))))) | cC38(iV21026) | ((~cC36(iV21026)) | (~cTOP(iV21026)))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(418,plain,
% 0.21/0.53 (cC38(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[417, 416, 387])).
% 0.21/0.53 tff(419,plain,
% 0.21/0.53 (^[X: $i] : refl((cC40(X) <=> cTOP(X)) <=> (cC40(X) <=> cTOP(X)))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(420,plain,
% 0.21/0.53 (![X: $i] : (cC40(X) <=> cTOP(X)) <=> ![X: $i] : (cC40(X) <=> cTOP(X))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[419])).
% 0.21/0.53 tff(421,plain,
% 0.21/0.53 (![X: $i] : (cC40(X) <=> cTOP(X)) <=> ![X: $i] : (cC40(X) <=> cTOP(X))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(422,axiom,(![X: $i] : (cC40(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_122')).
% 0.21/0.53 tff(423,plain,
% 0.21/0.53 (![X: $i] : (cC40(X) <=> cTOP(X))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[422, 421])).
% 0.21/0.53 tff(424,plain,(
% 0.21/0.53 ![X: $i] : (cC40(X) <=> cTOP(X))),
% 0.21/0.53 inference(skolemize,[status(sab)],[423])).
% 0.21/0.53 tff(425,plain,
% 0.21/0.53 (![X: $i] : (cC40(X) <=> cTOP(X))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[424, 420])).
% 0.21/0.53 tff(426,plain,
% 0.21/0.53 ((~![X: $i] : (cC40(X) <=> cTOP(X))) | (cC40(iV21026) <=> cTOP(iV21026))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(427,plain,
% 0.21/0.53 (cC40(iV21026) <=> cTOP(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[426, 425])).
% 0.21/0.53 tff(428,plain,
% 0.21/0.53 ((~(cC40(iV21026) <=> cTOP(iV21026))) | cC40(iV21026) | (~cTOP(iV21026))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(429,plain,
% 0.21/0.53 ((~(cC40(iV21026) <=> cTOP(iV21026))) | cC40(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[428, 413])).
% 0.21/0.53 tff(430,plain,
% 0.21/0.53 (cC40(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[429, 427])).
% 0.21/0.53 tff(431,plain,
% 0.21/0.53 ((~((~cC40(iV21026)) | (~cC38(iV21026)))) | (~cC40(iV21026)) | (~cC38(iV21026))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(432,plain,
% 0.21/0.53 (~((~cC40(iV21026)) | (~cC38(iV21026)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[431, 430, 418])).
% 0.21/0.53 tff(433,plain,
% 0.21/0.53 ((~(cC42(iV21026) <=> (~((~cC40(iV21026)) | (~cC38(iV21026)))))) | cC42(iV21026) | ((~cC40(iV21026)) | (~cC38(iV21026)))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(434,plain,
% 0.21/0.53 ((~(cC42(iV21026) <=> (~((~cC40(iV21026)) | (~cC38(iV21026)))))) | cC42(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[433, 432])).
% 0.21/0.53 tff(435,plain,
% 0.21/0.53 (cC42(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[434, 375])).
% 0.21/0.53 tff(436,plain,
% 0.21/0.53 (^[X: $i] : refl((cC58(X) <=> (~((~cC56(X)) | (~cTOP(X))))) <=> (cC58(X) <=> (~((~cC56(X)) | (~cTOP(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(437,plain,
% 0.21/0.53 (![X: $i] : (cC58(X) <=> (~((~cC56(X)) | (~cTOP(X))))) <=> ![X: $i] : (cC58(X) <=> (~((~cC56(X)) | (~cTOP(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[436])).
% 0.21/0.53 tff(438,plain,
% 0.21/0.53 (^[X: $i] : rewrite((cC58(X) <=> (cC56(X) & cTOP(X))) <=> (cC58(X) <=> (~((~cC56(X)) | (~cTOP(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(439,plain,
% 0.21/0.53 (![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X))) <=> ![X: $i] : (cC58(X) <=> (~((~cC56(X)) | (~cTOP(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[438])).
% 0.21/0.53 tff(440,plain,
% 0.21/0.53 (![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X))) <=> ![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(441,axiom,(![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_143')).
% 0.21/0.53 tff(442,plain,
% 0.21/0.53 (![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[441, 440])).
% 0.21/0.53 tff(443,plain,(
% 0.21/0.53 ![X: $i] : (cC58(X) <=> (cC56(X) & cTOP(X)))),
% 0.21/0.53 inference(skolemize,[status(sab)],[442])).
% 0.21/0.53 tff(444,plain,
% 0.21/0.53 (![X: $i] : (cC58(X) <=> (~((~cC56(X)) | (~cTOP(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[443, 439])).
% 0.21/0.53 tff(445,plain,
% 0.21/0.53 (![X: $i] : (cC58(X) <=> (~((~cC56(X)) | (~cTOP(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[444, 437])).
% 0.21/0.53 tff(446,plain,
% 0.21/0.53 ((~![X: $i] : (cC58(X) <=> (~((~cC56(X)) | (~cTOP(X)))))) | (cC58(iV21026) <=> (~((~cC56(iV21026)) | (~cTOP(iV21026)))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(447,plain,
% 0.21/0.53 (cC58(iV21026) <=> (~((~cC56(iV21026)) | (~cTOP(iV21026))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[446, 445])).
% 0.21/0.53 tff(448,plain,
% 0.21/0.53 (^[X: $i] : refl((cC56(X) <=> (~((~cC48xcomp(X)) | (~cC54xcomp(X))))) <=> (cC56(X) <=> (~((~cC48xcomp(X)) | (~cC54xcomp(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(449,plain,
% 0.21/0.53 (![X: $i] : (cC56(X) <=> (~((~cC48xcomp(X)) | (~cC54xcomp(X))))) <=> ![X: $i] : (cC56(X) <=> (~((~cC48xcomp(X)) | (~cC54xcomp(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[448])).
% 0.21/0.53 tff(450,plain,
% 0.21/0.53 (^[X: $i] : rewrite((cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X))) <=> (cC56(X) <=> (~((~cC48xcomp(X)) | (~cC54xcomp(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(451,plain,
% 0.21/0.53 (![X: $i] : (cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X))) <=> ![X: $i] : (cC56(X) <=> (~((~cC48xcomp(X)) | (~cC54xcomp(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[450])).
% 0.21/0.53 tff(452,plain,
% 0.21/0.53 (![X: $i] : (cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X))) <=> ![X: $i] : (cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(453,axiom,(![X: $i] : (cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_142')).
% 0.21/0.53 tff(454,plain,
% 0.21/0.53 (![X: $i] : (cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[453, 452])).
% 0.21/0.53 tff(455,plain,(
% 0.21/0.53 ![X: $i] : (cC56(X) <=> (cC48xcomp(X) & cC54xcomp(X)))),
% 0.21/0.53 inference(skolemize,[status(sab)],[454])).
% 0.21/0.53 tff(456,plain,
% 0.21/0.53 (![X: $i] : (cC56(X) <=> (~((~cC48xcomp(X)) | (~cC54xcomp(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[455, 451])).
% 0.21/0.53 tff(457,plain,
% 0.21/0.53 (![X: $i] : (cC56(X) <=> (~((~cC48xcomp(X)) | (~cC54xcomp(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[456, 449])).
% 0.21/0.53 tff(458,plain,
% 0.21/0.53 ((~![X: $i] : (cC56(X) <=> (~((~cC48xcomp(X)) | (~cC54xcomp(X)))))) | (cC56(iV21026) <=> (~((~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026)))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(459,plain,
% 0.21/0.53 (cC56(iV21026) <=> (~((~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[458, 457])).
% 0.21/0.53 tff(460,plain,
% 0.21/0.53 (cC48xcomp(iV21026) <=> cC48xcomp(iV21026)),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(461,axiom,(cC48xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_217')).
% 0.21/0.53 tff(462,plain,
% 0.21/0.53 (cC48xcomp(iV21026)),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[461, 460])).
% 0.21/0.53 tff(463,plain,
% 0.21/0.53 (cC54xcomp(iV21026) <=> cC54xcomp(iV21026)),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(464,axiom,(cC54xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_209')).
% 0.21/0.53 tff(465,plain,
% 0.21/0.53 (cC54xcomp(iV21026)),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[464, 463])).
% 0.21/0.53 tff(466,plain,
% 0.21/0.53 ((~((~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026)))) | (~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(467,plain,
% 0.21/0.53 (~((~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[466, 465, 462])).
% 0.21/0.53 tff(468,plain,
% 0.21/0.53 ((~(cC56(iV21026) <=> (~((~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026)))))) | cC56(iV21026) | ((~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026)))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(469,plain,
% 0.21/0.53 ((~(cC56(iV21026) <=> (~((~cC48xcomp(iV21026)) | (~cC54xcomp(iV21026)))))) | cC56(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[468, 467])).
% 0.21/0.53 tff(470,plain,
% 0.21/0.53 (cC56(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[469, 459])).
% 0.21/0.53 tff(471,plain,
% 0.21/0.53 ((~((~cC56(iV21026)) | (~cTOP(iV21026)))) | (~cC56(iV21026)) | (~cTOP(iV21026))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(472,plain,
% 0.21/0.53 ((~((~cC56(iV21026)) | (~cTOP(iV21026)))) | (~cC56(iV21026))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[471, 413])).
% 0.21/0.53 tff(473,plain,
% 0.21/0.53 (~((~cC56(iV21026)) | (~cTOP(iV21026)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[472, 470])).
% 0.21/0.53 tff(474,plain,
% 0.21/0.53 ((~(cC58(iV21026) <=> (~((~cC56(iV21026)) | (~cTOP(iV21026)))))) | cC58(iV21026) | ((~cC56(iV21026)) | (~cTOP(iV21026)))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(475,plain,
% 0.21/0.53 (cC58(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[474, 473, 447])).
% 0.21/0.53 tff(476,plain,
% 0.21/0.53 ((~((~cC58(iV21026)) | (~cC42(iV21026)))) | (~cC58(iV21026)) | (~cC42(iV21026))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(477,plain,
% 0.21/0.53 ((~((~cC58(iV21026)) | (~cC42(iV21026)))) | (~cC42(iV21026))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[476, 475])).
% 0.21/0.53 tff(478,plain,
% 0.21/0.53 (~((~cC58(iV21026)) | (~cC42(iV21026)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[477, 435])).
% 0.21/0.53 tff(479,plain,
% 0.21/0.53 ((~(cC60(iV21026) <=> (~((~cC58(iV21026)) | (~cC42(iV21026)))))) | cC60(iV21026) | ((~cC58(iV21026)) | (~cC42(iV21026)))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(480,plain,
% 0.21/0.53 (cC60(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[479, 478, 363])).
% 0.21/0.53 tff(481,plain,
% 0.21/0.53 (^[X: $i] : refl((cC62(X) <=> cTOP(X)) <=> (cC62(X) <=> cTOP(X)))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(482,plain,
% 0.21/0.53 (![X: $i] : (cC62(X) <=> cTOP(X)) <=> ![X: $i] : (cC62(X) <=> cTOP(X))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[481])).
% 0.21/0.53 tff(483,plain,
% 0.21/0.53 (![X: $i] : (cC62(X) <=> cTOP(X)) <=> ![X: $i] : (cC62(X) <=> cTOP(X))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(484,axiom,(![X: $i] : (cC62(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_147')).
% 0.21/0.53 tff(485,plain,
% 0.21/0.53 (![X: $i] : (cC62(X) <=> cTOP(X))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[484, 483])).
% 0.21/0.53 tff(486,plain,(
% 0.21/0.53 ![X: $i] : (cC62(X) <=> cTOP(X))),
% 0.21/0.53 inference(skolemize,[status(sab)],[485])).
% 0.21/0.53 tff(487,plain,
% 0.21/0.53 (![X: $i] : (cC62(X) <=> cTOP(X))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[486, 482])).
% 0.21/0.53 tff(488,plain,
% 0.21/0.53 ((~![X: $i] : (cC62(X) <=> cTOP(X))) | (cC62(iV21026) <=> cTOP(iV21026))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(489,plain,
% 0.21/0.53 (cC62(iV21026) <=> cTOP(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[488, 487])).
% 0.21/0.53 tff(490,plain,
% 0.21/0.53 ((~(cC62(iV21026) <=> cTOP(iV21026))) | cC62(iV21026) | (~cTOP(iV21026))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(491,plain,
% 0.21/0.53 ((~(cC62(iV21026) <=> cTOP(iV21026))) | cC62(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[490, 413])).
% 0.21/0.53 tff(492,plain,
% 0.21/0.53 (cC62(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[491, 489])).
% 0.21/0.53 tff(493,plain,
% 0.21/0.53 ((~((~cC60(iV21026)) | (~cC62(iV21026)))) | (~cC60(iV21026)) | (~cC62(iV21026))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(494,plain,
% 0.21/0.53 ((~((~cC60(iV21026)) | (~cC62(iV21026)))) | (~cC60(iV21026))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[493, 492])).
% 0.21/0.53 tff(495,plain,
% 0.21/0.53 (~((~cC60(iV21026)) | (~cC62(iV21026)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[494, 480])).
% 0.21/0.53 tff(496,plain,
% 0.21/0.53 ((~(cC64(iV21026) <=> (~((~cC60(iV21026)) | (~cC62(iV21026)))))) | cC64(iV21026) | ((~cC60(iV21026)) | (~cC62(iV21026)))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(497,plain,
% 0.21/0.53 (cC64(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[496, 495, 351])).
% 0.21/0.53 tff(498,plain,
% 0.21/0.53 (^[X: $i] : refl((cC80(X) <=> (~((~cC78(X)) | (~cTOP(X))))) <=> (cC80(X) <=> (~((~cC78(X)) | (~cTOP(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(499,plain,
% 0.21/0.53 (![X: $i] : (cC80(X) <=> (~((~cC78(X)) | (~cTOP(X))))) <=> ![X: $i] : (cC80(X) <=> (~((~cC78(X)) | (~cTOP(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[498])).
% 0.21/0.53 tff(500,plain,
% 0.21/0.53 (^[X: $i] : rewrite((cC80(X) <=> (cC78(X) & cTOP(X))) <=> (cC80(X) <=> (~((~cC78(X)) | (~cTOP(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(501,plain,
% 0.21/0.53 (![X: $i] : (cC80(X) <=> (cC78(X) & cTOP(X))) <=> ![X: $i] : (cC80(X) <=> (~((~cC78(X)) | (~cTOP(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[500])).
% 0.21/0.53 tff(502,plain,
% 0.21/0.53 (![X: $i] : (cC80(X) <=> (cC78(X) & cTOP(X))) <=> ![X: $i] : (cC80(X) <=> (cC78(X) & cTOP(X)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(503,axiom,(![X: $i] : (cC80(X) <=> (cC78(X) & cTOP(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_169')).
% 0.21/0.53 tff(504,plain,
% 0.21/0.53 (![X: $i] : (cC80(X) <=> (cC78(X) & cTOP(X)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[503, 502])).
% 0.21/0.53 tff(505,plain,(
% 0.21/0.53 ![X: $i] : (cC80(X) <=> (cC78(X) & cTOP(X)))),
% 0.21/0.53 inference(skolemize,[status(sab)],[504])).
% 0.21/0.53 tff(506,plain,
% 0.21/0.53 (![X: $i] : (cC80(X) <=> (~((~cC78(X)) | (~cTOP(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[505, 501])).
% 0.21/0.53 tff(507,plain,
% 0.21/0.53 (![X: $i] : (cC80(X) <=> (~((~cC78(X)) | (~cTOP(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[506, 499])).
% 0.21/0.53 tff(508,plain,
% 0.21/0.53 ((~![X: $i] : (cC80(X) <=> (~((~cC78(X)) | (~cTOP(X)))))) | (cC80(iV21026) <=> (~((~cC78(iV21026)) | (~cTOP(iV21026)))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(509,plain,
% 0.21/0.53 (cC80(iV21026) <=> (~((~cC78(iV21026)) | (~cTOP(iV21026))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[508, 507])).
% 0.21/0.53 tff(510,plain,
% 0.21/0.53 (^[X: $i] : refl((cC78(X) <=> (~((~cC70xcomp(X)) | (~cC76xcomp(X))))) <=> (cC78(X) <=> (~((~cC70xcomp(X)) | (~cC76xcomp(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(511,plain,
% 0.21/0.53 (![X: $i] : (cC78(X) <=> (~((~cC70xcomp(X)) | (~cC76xcomp(X))))) <=> ![X: $i] : (cC78(X) <=> (~((~cC70xcomp(X)) | (~cC76xcomp(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[510])).
% 0.21/0.53 tff(512,plain,
% 0.21/0.53 (^[X: $i] : rewrite((cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X))) <=> (cC78(X) <=> (~((~cC70xcomp(X)) | (~cC76xcomp(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(513,plain,
% 0.21/0.53 (![X: $i] : (cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X))) <=> ![X: $i] : (cC78(X) <=> (~((~cC70xcomp(X)) | (~cC76xcomp(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[512])).
% 0.21/0.53 tff(514,plain,
% 0.21/0.53 (![X: $i] : (cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X))) <=> ![X: $i] : (cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(515,axiom,(![X: $i] : (cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_167')).
% 0.21/0.53 tff(516,plain,
% 0.21/0.53 (![X: $i] : (cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[515, 514])).
% 0.21/0.53 tff(517,plain,(
% 0.21/0.53 ![X: $i] : (cC78(X) <=> (cC70xcomp(X) & cC76xcomp(X)))),
% 0.21/0.53 inference(skolemize,[status(sab)],[516])).
% 0.21/0.53 tff(518,plain,
% 0.21/0.53 (![X: $i] : (cC78(X) <=> (~((~cC70xcomp(X)) | (~cC76xcomp(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[517, 513])).
% 0.21/0.53 tff(519,plain,
% 0.21/0.53 (![X: $i] : (cC78(X) <=> (~((~cC70xcomp(X)) | (~cC76xcomp(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[518, 511])).
% 0.21/0.53 tff(520,plain,
% 0.21/0.53 ((~![X: $i] : (cC78(X) <=> (~((~cC70xcomp(X)) | (~cC76xcomp(X)))))) | (cC78(iV21026) <=> (~((~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026)))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(521,plain,
% 0.21/0.53 (cC78(iV21026) <=> (~((~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[520, 519])).
% 0.21/0.53 tff(522,plain,
% 0.21/0.53 (cC70xcomp(iV21026) <=> cC70xcomp(iV21026)),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(523,axiom,(cC70xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_215')).
% 0.21/0.53 tff(524,plain,
% 0.21/0.53 (cC70xcomp(iV21026)),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[523, 522])).
% 0.21/0.53 tff(525,plain,
% 0.21/0.53 (cC76xcomp(iV21026) <=> cC76xcomp(iV21026)),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(526,axiom,(cC76xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_195')).
% 0.21/0.53 tff(527,plain,
% 0.21/0.53 (cC76xcomp(iV21026)),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[526, 525])).
% 0.21/0.53 tff(528,plain,
% 0.21/0.53 ((~((~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026)))) | (~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(529,plain,
% 0.21/0.53 (~((~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[528, 527, 524])).
% 0.21/0.53 tff(530,plain,
% 0.21/0.53 ((~(cC78(iV21026) <=> (~((~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026)))))) | cC78(iV21026) | ((~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026)))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(531,plain,
% 0.21/0.53 ((~(cC78(iV21026) <=> (~((~cC70xcomp(iV21026)) | (~cC76xcomp(iV21026)))))) | cC78(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[530, 529])).
% 0.21/0.53 tff(532,plain,
% 0.21/0.53 (cC78(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[531, 521])).
% 0.21/0.53 tff(533,plain,
% 0.21/0.53 ((~((~cC78(iV21026)) | (~cTOP(iV21026)))) | (~cC78(iV21026)) | (~cTOP(iV21026))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(534,plain,
% 0.21/0.53 ((~((~cC78(iV21026)) | (~cTOP(iV21026)))) | (~cC78(iV21026))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[533, 413])).
% 0.21/0.53 tff(535,plain,
% 0.21/0.53 (~((~cC78(iV21026)) | (~cTOP(iV21026)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[534, 532])).
% 0.21/0.53 tff(536,plain,
% 0.21/0.53 ((~(cC80(iV21026) <=> (~((~cC78(iV21026)) | (~cTOP(iV21026)))))) | cC80(iV21026) | ((~cC78(iV21026)) | (~cTOP(iV21026)))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(537,plain,
% 0.21/0.53 (cC80(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[536, 535, 509])).
% 0.21/0.53 tff(538,plain,
% 0.21/0.53 ((~((~cC64(iV21026)) | (~cC80(iV21026)))) | (~cC64(iV21026)) | (~cC80(iV21026))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(539,plain,
% 0.21/0.53 ((~((~cC64(iV21026)) | (~cC80(iV21026)))) | (~cC64(iV21026))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[538, 537])).
% 0.21/0.53 tff(540,plain,
% 0.21/0.53 (~((~cC64(iV21026)) | (~cC80(iV21026)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[539, 497])).
% 0.21/0.53 tff(541,plain,
% 0.21/0.53 ((~(cC82(iV21026) <=> (~((~cC64(iV21026)) | (~cC80(iV21026)))))) | cC82(iV21026) | ((~cC64(iV21026)) | (~cC80(iV21026)))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(542,plain,
% 0.21/0.53 (cC82(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[541, 540, 339])).
% 0.21/0.53 tff(543,plain,
% 0.21/0.53 (^[X: $i] : refl((cC84(X) <=> cTOP(X)) <=> (cC84(X) <=> cTOP(X)))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(544,plain,
% 0.21/0.53 (![X: $i] : (cC84(X) <=> cTOP(X)) <=> ![X: $i] : (cC84(X) <=> cTOP(X))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[543])).
% 0.21/0.53 tff(545,plain,
% 0.21/0.53 (![X: $i] : (cC84(X) <=> cTOP(X)) <=> ![X: $i] : (cC84(X) <=> cTOP(X))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(546,axiom,(![X: $i] : (cC84(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_171')).
% 0.21/0.53 tff(547,plain,
% 0.21/0.53 (![X: $i] : (cC84(X) <=> cTOP(X))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[546, 545])).
% 0.21/0.53 tff(548,plain,(
% 0.21/0.53 ![X: $i] : (cC84(X) <=> cTOP(X))),
% 0.21/0.53 inference(skolemize,[status(sab)],[547])).
% 0.21/0.53 tff(549,plain,
% 0.21/0.53 (![X: $i] : (cC84(X) <=> cTOP(X))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[548, 544])).
% 0.21/0.53 tff(550,plain,
% 0.21/0.53 ((~![X: $i] : (cC84(X) <=> cTOP(X))) | (cC84(iV21026) <=> cTOP(iV21026))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(551,plain,
% 0.21/0.53 (cC84(iV21026) <=> cTOP(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[550, 549])).
% 0.21/0.53 tff(552,plain,
% 0.21/0.53 ((~(cC84(iV21026) <=> cTOP(iV21026))) | cC84(iV21026) | (~cTOP(iV21026))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(553,plain,
% 0.21/0.53 ((~(cC84(iV21026) <=> cTOP(iV21026))) | cC84(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[552, 413])).
% 0.21/0.53 tff(554,plain,
% 0.21/0.53 (cC84(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[553, 551])).
% 0.21/0.53 tff(555,plain,
% 0.21/0.53 ((~((~cC82(iV21026)) | (~cC84(iV21026)))) | (~cC82(iV21026)) | (~cC84(iV21026))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(556,plain,
% 0.21/0.53 ((~((~cC82(iV21026)) | (~cC84(iV21026)))) | (~cC82(iV21026))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[555, 554])).
% 0.21/0.53 tff(557,plain,
% 0.21/0.53 (~((~cC82(iV21026)) | (~cC84(iV21026)))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[556, 542])).
% 0.21/0.53 tff(558,plain,
% 0.21/0.53 ((~(cC86(iV21026) <=> (~((~cC82(iV21026)) | (~cC84(iV21026)))))) | cC86(iV21026) | ((~cC82(iV21026)) | (~cC84(iV21026)))),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(559,plain,
% 0.21/0.53 (cC86(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[558, 557, 327])).
% 0.21/0.53 tff(560,plain,
% 0.21/0.53 (((~cC22(iV21026)) | (~cC156(iV21026))) | cC156(iV21026)),
% 0.21/0.53 inference(tautology,[status(thm)],[])).
% 0.21/0.53 tff(561,plain,
% 0.21/0.53 (cC156(iV21026)),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[560, 296])).
% 0.21/0.53 tff(562,plain,
% 0.21/0.53 (^[X: $i] : refl((cC138(X) <=> (~((~cC136(X)) | (~cC134(X))))) <=> (cC138(X) <=> (~((~cC136(X)) | (~cC134(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(563,plain,
% 0.21/0.53 (![X: $i] : (cC138(X) <=> (~((~cC136(X)) | (~cC134(X))))) <=> ![X: $i] : (cC138(X) <=> (~((~cC136(X)) | (~cC134(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[562])).
% 0.21/0.53 tff(564,plain,
% 0.21/0.53 (^[X: $i] : rewrite((cC138(X) <=> (cC136(X) & cC134(X))) <=> (cC138(X) <=> (~((~cC136(X)) | (~cC134(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(565,plain,
% 0.21/0.53 (![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X))) <=> ![X: $i] : (cC138(X) <=> (~((~cC136(X)) | (~cC134(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[564])).
% 0.21/0.53 tff(566,plain,
% 0.21/0.53 (![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X))) <=> ![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(567,axiom,(![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_43')).
% 0.21/0.53 tff(568,plain,
% 0.21/0.53 (![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[567, 566])).
% 0.21/0.53 tff(569,plain,(
% 0.21/0.53 ![X: $i] : (cC138(X) <=> (cC136(X) & cC134(X)))),
% 0.21/0.53 inference(skolemize,[status(sab)],[568])).
% 0.21/0.53 tff(570,plain,
% 0.21/0.53 (![X: $i] : (cC138(X) <=> (~((~cC136(X)) | (~cC134(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[569, 565])).
% 0.21/0.53 tff(571,plain,
% 0.21/0.53 (![X: $i] : (cC138(X) <=> (~((~cC136(X)) | (~cC134(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[570, 563])).
% 0.21/0.53 tff(572,plain,
% 0.21/0.53 ((~![X: $i] : (cC138(X) <=> (~((~cC136(X)) | (~cC134(X)))))) | (cC138(iV21026) <=> (~((~cC136(iV21026)) | (~cC134(iV21026)))))),
% 0.21/0.53 inference(quant_inst,[status(thm)],[])).
% 0.21/0.53 tff(573,plain,
% 0.21/0.53 (cC138(iV21026) <=> (~((~cC136(iV21026)) | (~cC134(iV21026))))),
% 0.21/0.53 inference(unit_resolution,[status(thm)],[572, 571])).
% 0.21/0.53 tff(574,plain,
% 0.21/0.53 (^[X: $i] : refl((cC156(X) <=> (~((~cC154(X)) | (~cC138(X))))) <=> (cC156(X) <=> (~((~cC154(X)) | (~cC138(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(575,plain,
% 0.21/0.53 (![X: $i] : (cC156(X) <=> (~((~cC154(X)) | (~cC138(X))))) <=> ![X: $i] : (cC156(X) <=> (~((~cC154(X)) | (~cC138(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[574])).
% 0.21/0.53 tff(576,plain,
% 0.21/0.53 (^[X: $i] : rewrite((cC156(X) <=> (cC154(X) & cC138(X))) <=> (cC156(X) <=> (~((~cC154(X)) | (~cC138(X))))))),
% 0.21/0.53 inference(bind,[status(th)],[])).
% 0.21/0.53 tff(577,plain,
% 0.21/0.53 (![X: $i] : (cC156(X) <=> (cC154(X) & cC138(X))) <=> ![X: $i] : (cC156(X) <=> (~((~cC154(X)) | (~cC138(X)))))),
% 0.21/0.53 inference(quant_intro,[status(thm)],[576])).
% 0.21/0.53 tff(578,plain,
% 0.21/0.53 (![X: $i] : (cC156(X) <=> (cC154(X) & cC138(X))) <=> ![X: $i] : (cC156(X) <=> (cC154(X) & cC138(X)))),
% 0.21/0.53 inference(rewrite,[status(thm)],[])).
% 0.21/0.53 tff(579,axiom,(![X: $i] : (cC156(X) <=> (cC154(X) & cC138(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_65')).
% 0.21/0.53 tff(580,plain,
% 0.21/0.53 (![X: $i] : (cC156(X) <=> (cC154(X) & cC138(X)))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[579, 578])).
% 0.21/0.53 tff(581,plain,(
% 0.21/0.53 ![X: $i] : (cC156(X) <=> (cC154(X) & cC138(X)))),
% 0.21/0.53 inference(skolemize,[status(sab)],[580])).
% 0.21/0.53 tff(582,plain,
% 0.21/0.53 (![X: $i] : (cC156(X) <=> (~((~cC154(X)) | (~cC138(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[581, 577])).
% 0.21/0.53 tff(583,plain,
% 0.21/0.53 (![X: $i] : (cC156(X) <=> (~((~cC154(X)) | (~cC138(X)))))),
% 0.21/0.53 inference(modus_ponens,[status(thm)],[582, 575])).
% 0.21/0.53 tff(584,plain,
% 0.21/0.53 ((~![X: $i] : (cC156(X) <=> (~((~cC154(X)) | (~cC138(X)))))) | (cC156(iV21026) <=> (~((~cC154(iV21026)) | (~cC138(iV21026)))))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(585,plain,
% 0.21/0.54 (cC156(iV21026) <=> (~((~cC154(iV21026)) | (~cC138(iV21026))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[584, 583])).
% 0.21/0.54 tff(586,plain,
% 0.21/0.54 ((~(cC156(iV21026) <=> (~((~cC154(iV21026)) | (~cC138(iV21026)))))) | (~cC156(iV21026)) | (~((~cC154(iV21026)) | (~cC138(iV21026))))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(587,plain,
% 0.21/0.54 (~((~cC154(iV21026)) | (~cC138(iV21026)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[586, 561, 585])).
% 0.21/0.54 tff(588,plain,
% 0.21/0.54 (((~cC154(iV21026)) | (~cC138(iV21026))) | cC138(iV21026)),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(589,plain,
% 0.21/0.54 (cC138(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[588, 587])).
% 0.21/0.54 tff(590,plain,
% 0.21/0.54 ((~(cC138(iV21026) <=> (~((~cC136(iV21026)) | (~cC134(iV21026)))))) | (~cC138(iV21026)) | (~((~cC136(iV21026)) | (~cC134(iV21026))))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(591,plain,
% 0.21/0.54 (~((~cC136(iV21026)) | (~cC134(iV21026)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[590, 589, 573])).
% 0.21/0.54 tff(592,plain,
% 0.21/0.54 (((~cC136(iV21026)) | (~cC134(iV21026))) | cC134(iV21026)),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(593,plain,
% 0.21/0.54 (cC134(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[592, 591])).
% 0.21/0.54 tff(594,plain,
% 0.21/0.54 (^[X: $i] : refl((cC168(X) <=> (~((~cC162xcomp(X)) | (~cC166xcomp(X))))) <=> (cC168(X) <=> (~((~cC162xcomp(X)) | (~cC166xcomp(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(595,plain,
% 0.21/0.54 (![X: $i] : (cC168(X) <=> (~((~cC162xcomp(X)) | (~cC166xcomp(X))))) <=> ![X: $i] : (cC168(X) <=> (~((~cC162xcomp(X)) | (~cC166xcomp(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[594])).
% 0.21/0.54 tff(596,plain,
% 0.21/0.54 (^[X: $i] : rewrite((cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X))) <=> (cC168(X) <=> (~((~cC162xcomp(X)) | (~cC166xcomp(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(597,plain,
% 0.21/0.54 (![X: $i] : (cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X))) <=> ![X: $i] : (cC168(X) <=> (~((~cC162xcomp(X)) | (~cC166xcomp(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[596])).
% 0.21/0.54 tff(598,plain,
% 0.21/0.54 (![X: $i] : (cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X))) <=> ![X: $i] : (cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(599,axiom,(![X: $i] : (cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_80')).
% 0.21/0.54 tff(600,plain,
% 0.21/0.54 (![X: $i] : (cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[599, 598])).
% 0.21/0.54 tff(601,plain,(
% 0.21/0.54 ![X: $i] : (cC168(X) <=> (cC162xcomp(X) & cC166xcomp(X)))),
% 0.21/0.54 inference(skolemize,[status(sab)],[600])).
% 0.21/0.54 tff(602,plain,
% 0.21/0.54 (![X: $i] : (cC168(X) <=> (~((~cC162xcomp(X)) | (~cC166xcomp(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[601, 597])).
% 0.21/0.54 tff(603,plain,
% 0.21/0.54 (![X: $i] : (cC168(X) <=> (~((~cC162xcomp(X)) | (~cC166xcomp(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[602, 595])).
% 0.21/0.54 tff(604,plain,
% 0.21/0.54 ((~![X: $i] : (cC168(X) <=> (~((~cC162xcomp(X)) | (~cC166xcomp(X)))))) | (cC168(iV21026) <=> (~((~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026)))))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(605,plain,
% 0.21/0.54 (cC168(iV21026) <=> (~((~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[604, 603])).
% 0.21/0.54 tff(606,plain,
% 0.21/0.54 (cC162xcomp(iV21026) <=> cC162xcomp(iV21026)),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(607,axiom,(cC162xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_213')).
% 0.21/0.54 tff(608,plain,
% 0.21/0.54 (cC162xcomp(iV21026)),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[607, 606])).
% 0.21/0.54 tff(609,plain,
% 0.21/0.54 (cC166xcomp(iV21026) <=> cC166xcomp(iV21026)),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(610,axiom,(cC166xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_198')).
% 0.21/0.54 tff(611,plain,
% 0.21/0.54 (cC166xcomp(iV21026)),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[610, 609])).
% 0.21/0.54 tff(612,plain,
% 0.21/0.54 ((~((~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026)))) | (~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(613,plain,
% 0.21/0.54 (~((~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[612, 611, 608])).
% 0.21/0.54 tff(614,plain,
% 0.21/0.54 ((~(cC168(iV21026) <=> (~((~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026)))))) | cC168(iV21026) | ((~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026)))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(615,plain,
% 0.21/0.54 ((~(cC168(iV21026) <=> (~((~cC162xcomp(iV21026)) | (~cC166xcomp(iV21026)))))) | cC168(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[614, 613])).
% 0.21/0.54 tff(616,plain,
% 0.21/0.54 (cC168(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[615, 605])).
% 0.21/0.54 tff(617,plain,
% 0.21/0.54 (^[X: $i] : refl((cC130(X) <=> (~((~cC122xcomp(X)) | (~cC128xcomp(X))))) <=> (cC130(X) <=> (~((~cC122xcomp(X)) | (~cC128xcomp(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(618,plain,
% 0.21/0.54 (![X: $i] : (cC130(X) <=> (~((~cC122xcomp(X)) | (~cC128xcomp(X))))) <=> ![X: $i] : (cC130(X) <=> (~((~cC122xcomp(X)) | (~cC128xcomp(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[617])).
% 0.21/0.54 tff(619,plain,
% 0.21/0.54 (^[X: $i] : rewrite((cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X))) <=> (cC130(X) <=> (~((~cC122xcomp(X)) | (~cC128xcomp(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(620,plain,
% 0.21/0.54 (![X: $i] : (cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X))) <=> ![X: $i] : (cC130(X) <=> (~((~cC122xcomp(X)) | (~cC128xcomp(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[619])).
% 0.21/0.54 tff(621,plain,
% 0.21/0.54 (![X: $i] : (cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X))) <=> ![X: $i] : (cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(622,axiom,(![X: $i] : (cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_39')).
% 0.21/0.54 tff(623,plain,
% 0.21/0.54 (![X: $i] : (cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[622, 621])).
% 0.21/0.54 tff(624,plain,(
% 0.21/0.54 ![X: $i] : (cC130(X) <=> (cC128xcomp(X) & cC122xcomp(X)))),
% 0.21/0.54 inference(skolemize,[status(sab)],[623])).
% 0.21/0.54 tff(625,plain,
% 0.21/0.54 (![X: $i] : (cC130(X) <=> (~((~cC122xcomp(X)) | (~cC128xcomp(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[624, 620])).
% 0.21/0.54 tff(626,plain,
% 0.21/0.54 (![X: $i] : (cC130(X) <=> (~((~cC122xcomp(X)) | (~cC128xcomp(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[625, 618])).
% 0.21/0.54 tff(627,plain,
% 0.21/0.54 ((~![X: $i] : (cC130(X) <=> (~((~cC122xcomp(X)) | (~cC128xcomp(X)))))) | (cC130(iV21026) <=> (~((~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026)))))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(628,plain,
% 0.21/0.54 (cC130(iV21026) <=> (~((~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[627, 626])).
% 0.21/0.54 tff(629,plain,
% 0.21/0.54 (cC122xcomp(iV21026) <=> cC122xcomp(iV21026)),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(630,axiom,(cC122xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_210')).
% 0.21/0.54 tff(631,plain,
% 0.21/0.54 (cC122xcomp(iV21026)),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[630, 629])).
% 0.21/0.54 tff(632,plain,
% 0.21/0.54 (cC128xcomp(iV21026) <=> cC128xcomp(iV21026)),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(633,axiom,(cC128xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_197')).
% 0.21/0.54 tff(634,plain,
% 0.21/0.54 (cC128xcomp(iV21026)),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[633, 632])).
% 0.21/0.54 tff(635,plain,
% 0.21/0.54 ((~((~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026)))) | (~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(636,plain,
% 0.21/0.54 (~((~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[635, 634, 631])).
% 0.21/0.54 tff(637,plain,
% 0.21/0.54 ((~(cC130(iV21026) <=> (~((~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026)))))) | cC130(iV21026) | ((~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026)))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(638,plain,
% 0.21/0.54 ((~(cC130(iV21026) <=> (~((~cC122xcomp(iV21026)) | (~cC128xcomp(iV21026)))))) | cC130(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[637, 636])).
% 0.21/0.54 tff(639,plain,
% 0.21/0.54 (cC130(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[638, 628])).
% 0.21/0.54 tff(640,plain,
% 0.21/0.54 (^[X: $i] : refl((cC88(X) <=> cTOP(X)) <=> (cC88(X) <=> cTOP(X)))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(641,plain,
% 0.21/0.54 (![X: $i] : (cC88(X) <=> cTOP(X)) <=> ![X: $i] : (cC88(X) <=> cTOP(X))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[640])).
% 0.21/0.54 tff(642,plain,
% 0.21/0.54 (![X: $i] : (cC88(X) <=> cTOP(X)) <=> ![X: $i] : (cC88(X) <=> cTOP(X))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(643,axiom,(![X: $i] : (cC88(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_173')).
% 0.21/0.54 tff(644,plain,
% 0.21/0.54 (![X: $i] : (cC88(X) <=> cTOP(X))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[643, 642])).
% 0.21/0.54 tff(645,plain,(
% 0.21/0.54 ![X: $i] : (cC88(X) <=> cTOP(X))),
% 0.21/0.54 inference(skolemize,[status(sab)],[644])).
% 0.21/0.54 tff(646,plain,
% 0.21/0.54 (![X: $i] : (cC88(X) <=> cTOP(X))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[645, 641])).
% 0.21/0.54 tff(647,plain,
% 0.21/0.54 ((~![X: $i] : (cC88(X) <=> cTOP(X))) | (cC88(iV21026) <=> cTOP(iV21026))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(648,plain,
% 0.21/0.54 (cC88(iV21026) <=> cTOP(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[647, 646])).
% 0.21/0.54 tff(649,plain,
% 0.21/0.54 ((~(cC88(iV21026) <=> cTOP(iV21026))) | cC88(iV21026) | (~cTOP(iV21026))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(650,plain,
% 0.21/0.54 ((~(cC88(iV21026) <=> cTOP(iV21026))) | cC88(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[649, 413])).
% 0.21/0.54 tff(651,plain,
% 0.21/0.54 (cC88(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[650, 648])).
% 0.21/0.54 tff(652,plain,
% 0.21/0.54 (^[X: $i] : refl((cC152(X) <=> (~((~cC144xcomp(X)) | (~cC150xcomp(X))))) <=> (cC152(X) <=> (~((~cC144xcomp(X)) | (~cC150xcomp(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(653,plain,
% 0.21/0.54 (![X: $i] : (cC152(X) <=> (~((~cC144xcomp(X)) | (~cC150xcomp(X))))) <=> ![X: $i] : (cC152(X) <=> (~((~cC144xcomp(X)) | (~cC150xcomp(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[652])).
% 0.21/0.54 tff(654,plain,
% 0.21/0.54 (^[X: $i] : rewrite((cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X))) <=> (cC152(X) <=> (~((~cC144xcomp(X)) | (~cC150xcomp(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(655,plain,
% 0.21/0.54 (![X: $i] : (cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X))) <=> ![X: $i] : (cC152(X) <=> (~((~cC144xcomp(X)) | (~cC150xcomp(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[654])).
% 0.21/0.54 tff(656,plain,
% 0.21/0.54 (![X: $i] : (cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X))) <=> ![X: $i] : (cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(657,axiom,(![X: $i] : (cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_63')).
% 0.21/0.54 tff(658,plain,
% 0.21/0.54 (![X: $i] : (cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[657, 656])).
% 0.21/0.54 tff(659,plain,(
% 0.21/0.54 ![X: $i] : (cC152(X) <=> (cC144xcomp(X) & cC150xcomp(X)))),
% 0.21/0.54 inference(skolemize,[status(sab)],[658])).
% 0.21/0.54 tff(660,plain,
% 0.21/0.54 (![X: $i] : (cC152(X) <=> (~((~cC144xcomp(X)) | (~cC150xcomp(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[659, 655])).
% 0.21/0.54 tff(661,plain,
% 0.21/0.54 (![X: $i] : (cC152(X) <=> (~((~cC144xcomp(X)) | (~cC150xcomp(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[660, 653])).
% 0.21/0.54 tff(662,plain,
% 0.21/0.54 ((~![X: $i] : (cC152(X) <=> (~((~cC144xcomp(X)) | (~cC150xcomp(X)))))) | (cC152(iV21026) <=> (~((~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026)))))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(663,plain,
% 0.21/0.54 (cC152(iV21026) <=> (~((~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[662, 661])).
% 0.21/0.54 tff(664,plain,
% 0.21/0.54 (cC144xcomp(iV21026) <=> cC144xcomp(iV21026)),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(665,axiom,(cC144xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_204')).
% 0.21/0.54 tff(666,plain,
% 0.21/0.54 (cC144xcomp(iV21026)),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[665, 664])).
% 0.21/0.54 tff(667,plain,
% 0.21/0.54 (cC150xcomp(iV21026) <=> cC150xcomp(iV21026)),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(668,axiom,(cC150xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_187')).
% 0.21/0.54 tff(669,plain,
% 0.21/0.54 (cC150xcomp(iV21026)),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[668, 667])).
% 0.21/0.54 tff(670,plain,
% 0.21/0.54 ((~((~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026)))) | (~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(671,plain,
% 0.21/0.54 (~((~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[670, 669, 666])).
% 0.21/0.54 tff(672,plain,
% 0.21/0.54 ((~(cC152(iV21026) <=> (~((~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026)))))) | cC152(iV21026) | ((~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026)))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(673,plain,
% 0.21/0.54 ((~(cC152(iV21026) <=> (~((~cC144xcomp(iV21026)) | (~cC150xcomp(iV21026)))))) | cC152(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[672, 671])).
% 0.21/0.54 tff(674,plain,
% 0.21/0.54 (cC152(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[673, 663])).
% 0.21/0.54 tff(675,plain,
% 0.21/0.54 (((~cC10(iV21026)) | (~cC14(iV21026))) | cC14(iV21026)),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(676,plain,
% 0.21/0.54 (cC14(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[675, 306])).
% 0.21/0.54 tff(677,plain,
% 0.21/0.54 (^[X: $i] : refl((cC134(X) <=> (~((~cC116(X)) | (~cC132(X))))) <=> (cC134(X) <=> (~((~cC116(X)) | (~cC132(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(678,plain,
% 0.21/0.54 (![X: $i] : (cC134(X) <=> (~((~cC116(X)) | (~cC132(X))))) <=> ![X: $i] : (cC134(X) <=> (~((~cC116(X)) | (~cC132(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[677])).
% 0.21/0.54 tff(679,plain,
% 0.21/0.54 (^[X: $i] : rewrite((cC134(X) <=> (cC116(X) & cC132(X))) <=> (cC134(X) <=> (~((~cC116(X)) | (~cC132(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(680,plain,
% 0.21/0.54 (![X: $i] : (cC134(X) <=> (cC116(X) & cC132(X))) <=> ![X: $i] : (cC134(X) <=> (~((~cC116(X)) | (~cC132(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[679])).
% 0.21/0.54 tff(681,plain,
% 0.21/0.54 (![X: $i] : (cC134(X) <=> (cC116(X) & cC132(X))) <=> ![X: $i] : (cC134(X) <=> (cC116(X) & cC132(X)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(682,axiom,(![X: $i] : (cC134(X) <=> (cC116(X) & cC132(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_41')).
% 0.21/0.54 tff(683,plain,
% 0.21/0.54 (![X: $i] : (cC134(X) <=> (cC116(X) & cC132(X)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[682, 681])).
% 0.21/0.54 tff(684,plain,(
% 0.21/0.54 ![X: $i] : (cC134(X) <=> (cC116(X) & cC132(X)))),
% 0.21/0.54 inference(skolemize,[status(sab)],[683])).
% 0.21/0.54 tff(685,plain,
% 0.21/0.54 (![X: $i] : (cC134(X) <=> (~((~cC116(X)) | (~cC132(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[684, 680])).
% 0.21/0.54 tff(686,plain,
% 0.21/0.54 (![X: $i] : (cC134(X) <=> (~((~cC116(X)) | (~cC132(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[685, 678])).
% 0.21/0.54 tff(687,plain,
% 0.21/0.54 ((~![X: $i] : (cC134(X) <=> (~((~cC116(X)) | (~cC132(X)))))) | (cC134(iV21026) <=> (~((~cC116(iV21026)) | (~cC132(iV21026)))))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(688,plain,
% 0.21/0.54 (cC134(iV21026) <=> (~((~cC116(iV21026)) | (~cC132(iV21026))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[687, 686])).
% 0.21/0.54 tff(689,plain,
% 0.21/0.54 ((~(cC134(iV21026) <=> (~((~cC116(iV21026)) | (~cC132(iV21026)))))) | (~cC134(iV21026)) | (~((~cC116(iV21026)) | (~cC132(iV21026))))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(690,plain,
% 0.21/0.54 (~((~cC116(iV21026)) | (~cC132(iV21026)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[689, 593, 688])).
% 0.21/0.54 tff(691,plain,
% 0.21/0.54 (((~cC116(iV21026)) | (~cC132(iV21026))) | cC116(iV21026)),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(692,plain,
% 0.21/0.54 (cC116(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[691, 690])).
% 0.21/0.54 tff(693,plain,
% 0.21/0.54 (^[X: $i] : refl((cC116(X) <=> (~((~cC114(X)) | (~cC112(X))))) <=> (cC116(X) <=> (~((~cC114(X)) | (~cC112(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(694,plain,
% 0.21/0.54 (![X: $i] : (cC116(X) <=> (~((~cC114(X)) | (~cC112(X))))) <=> ![X: $i] : (cC116(X) <=> (~((~cC114(X)) | (~cC112(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[693])).
% 0.21/0.54 tff(695,plain,
% 0.21/0.54 (^[X: $i] : rewrite((cC116(X) <=> (cC114(X) & cC112(X))) <=> (cC116(X) <=> (~((~cC114(X)) | (~cC112(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(696,plain,
% 0.21/0.54 (![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X))) <=> ![X: $i] : (cC116(X) <=> (~((~cC114(X)) | (~cC112(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[695])).
% 0.21/0.54 tff(697,plain,
% 0.21/0.54 (![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X))) <=> ![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(698,axiom,(![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_18')).
% 0.21/0.54 tff(699,plain,
% 0.21/0.54 (![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[698, 697])).
% 0.21/0.54 tff(700,plain,(
% 0.21/0.54 ![X: $i] : (cC116(X) <=> (cC114(X) & cC112(X)))),
% 0.21/0.54 inference(skolemize,[status(sab)],[699])).
% 0.21/0.54 tff(701,plain,
% 0.21/0.54 (![X: $i] : (cC116(X) <=> (~((~cC114(X)) | (~cC112(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[700, 696])).
% 0.21/0.54 tff(702,plain,
% 0.21/0.54 (![X: $i] : (cC116(X) <=> (~((~cC114(X)) | (~cC112(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[701, 694])).
% 0.21/0.54 tff(703,plain,
% 0.21/0.54 ((~![X: $i] : (cC116(X) <=> (~((~cC114(X)) | (~cC112(X)))))) | (cC116(iV21026) <=> (~((~cC114(iV21026)) | (~cC112(iV21026)))))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(704,plain,
% 0.21/0.54 (cC116(iV21026) <=> (~((~cC114(iV21026)) | (~cC112(iV21026))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[703, 702])).
% 0.21/0.54 tff(705,plain,
% 0.21/0.54 ((~(cC116(iV21026) <=> (~((~cC114(iV21026)) | (~cC112(iV21026)))))) | (~cC116(iV21026)) | (~((~cC114(iV21026)) | (~cC112(iV21026))))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(706,plain,
% 0.21/0.54 (~((~cC114(iV21026)) | (~cC112(iV21026)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[705, 692, 704])).
% 0.21/0.54 tff(707,plain,
% 0.21/0.54 (((~cC114(iV21026)) | (~cC112(iV21026))) | cC112(iV21026)),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(708,plain,
% 0.21/0.54 (cC112(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[707, 706])).
% 0.21/0.54 tff(709,plain,
% 0.21/0.54 (^[X: $i] : refl((cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X))))) <=> (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(710,plain,
% 0.21/0.54 (![X: $i] : (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X))))) <=> ![X: $i] : (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[709])).
% 0.21/0.54 tff(711,plain,
% 0.21/0.54 (^[X: $i] : rewrite((cC174(X) <=> (cC172xcomp(X) & cC168(X))) <=> (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(712,plain,
% 0.21/0.54 (![X: $i] : (cC174(X) <=> (cC172xcomp(X) & cC168(X))) <=> ![X: $i] : (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[711])).
% 0.21/0.54 tff(713,plain,
% 0.21/0.54 (![X: $i] : (cC174(X) <=> (cC172xcomp(X) & cC168(X))) <=> ![X: $i] : (cC174(X) <=> (cC172xcomp(X) & cC168(X)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(714,axiom,(![X: $i] : (cC174(X) <=> (cC172xcomp(X) & cC168(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_87')).
% 0.21/0.54 tff(715,plain,
% 0.21/0.54 (![X: $i] : (cC174(X) <=> (cC172xcomp(X) & cC168(X)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[714, 713])).
% 0.21/0.54 tff(716,plain,(
% 0.21/0.54 ![X: $i] : (cC174(X) <=> (cC172xcomp(X) & cC168(X)))),
% 0.21/0.54 inference(skolemize,[status(sab)],[715])).
% 0.21/0.54 tff(717,plain,
% 0.21/0.54 (![X: $i] : (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[716, 712])).
% 0.21/0.54 tff(718,plain,
% 0.21/0.54 (![X: $i] : (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[717, 710])).
% 0.21/0.54 tff(719,plain,
% 0.21/0.54 (((~![X: $i] : (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X)))))) | (cC174(iV21026) <=> (~((~cC168(iV21026)) | (~cC172xcomp(iV21026)))))) <=> ((~![X: $i] : (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X)))))) | (cC174(iV21026) <=> (~((~cC168(iV21026)) | (~cC172xcomp(iV21026))))))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(720,plain,
% 0.21/0.54 ((cC174(iV21026) <=> (~((~cC172xcomp(iV21026)) | (~cC168(iV21026))))) <=> (cC174(iV21026) <=> (~((~cC168(iV21026)) | (~cC172xcomp(iV21026)))))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(721,plain,
% 0.21/0.54 (((~![X: $i] : (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X)))))) | (cC174(iV21026) <=> (~((~cC172xcomp(iV21026)) | (~cC168(iV21026)))))) <=> ((~![X: $i] : (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X)))))) | (cC174(iV21026) <=> (~((~cC168(iV21026)) | (~cC172xcomp(iV21026))))))),
% 0.21/0.54 inference(monotonicity,[status(thm)],[720])).
% 0.21/0.54 tff(722,plain,
% 0.21/0.54 (((~![X: $i] : (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X)))))) | (cC174(iV21026) <=> (~((~cC172xcomp(iV21026)) | (~cC168(iV21026)))))) <=> ((~![X: $i] : (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X)))))) | (cC174(iV21026) <=> (~((~cC168(iV21026)) | (~cC172xcomp(iV21026))))))),
% 0.21/0.54 inference(transitivity,[status(thm)],[721, 719])).
% 0.21/0.54 tff(723,plain,
% 0.21/0.54 ((~![X: $i] : (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X)))))) | (cC174(iV21026) <=> (~((~cC172xcomp(iV21026)) | (~cC168(iV21026)))))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(724,plain,
% 0.21/0.54 ((~![X: $i] : (cC174(X) <=> (~((~cC172xcomp(X)) | (~cC168(X)))))) | (cC174(iV21026) <=> (~((~cC168(iV21026)) | (~cC172xcomp(iV21026)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[723, 722])).
% 0.21/0.54 tff(725,plain,
% 0.21/0.54 (cC174(iV21026) <=> (~((~cC168(iV21026)) | (~cC172xcomp(iV21026))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[724, 718])).
% 0.21/0.54 tff(726,plain,
% 0.21/0.54 (cC172xcomp(iV21026) <=> cC172xcomp(iV21026)),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(727,axiom,(cC172xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_216')).
% 0.21/0.54 tff(728,plain,
% 0.21/0.54 (cC172xcomp(iV21026)),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[727, 726])).
% 0.21/0.54 tff(729,plain,
% 0.21/0.54 ((~((~cC168(iV21026)) | (~cC172xcomp(iV21026)))) | (~cC168(iV21026)) | (~cC172xcomp(iV21026))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(730,plain,
% 0.21/0.54 ((~((~cC168(iV21026)) | (~cC172xcomp(iV21026)))) | (~cC168(iV21026))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[729, 728])).
% 0.21/0.54 tff(731,plain,
% 0.21/0.54 (~((~cC168(iV21026)) | (~cC172xcomp(iV21026)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[730, 616])).
% 0.21/0.54 tff(732,plain,
% 0.21/0.54 ((~(cC174(iV21026) <=> (~((~cC168(iV21026)) | (~cC172xcomp(iV21026)))))) | cC174(iV21026) | ((~cC168(iV21026)) | (~cC172xcomp(iV21026)))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(733,plain,
% 0.21/0.54 (cC174(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[732, 731, 725])).
% 0.21/0.54 tff(734,plain,
% 0.21/0.54 (((~cC16(iV21026)) | (~cC20(iV21026))) | cC20(iV21026)),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(735,plain,
% 0.21/0.54 (cC20(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[734, 301])).
% 0.21/0.54 tff(736,plain,
% 0.21/0.54 (^[X: $i] : refl((cC114(X) <=> cTOP(X)) <=> (cC114(X) <=> cTOP(X)))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(737,plain,
% 0.21/0.54 (![X: $i] : (cC114(X) <=> cTOP(X)) <=> ![X: $i] : (cC114(X) <=> cTOP(X))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[736])).
% 0.21/0.54 tff(738,plain,
% 0.21/0.54 (![X: $i] : (cC114(X) <=> cTOP(X)) <=> ![X: $i] : (cC114(X) <=> cTOP(X))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(739,axiom,(![X: $i] : (cC114(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_17')).
% 0.21/0.54 tff(740,plain,
% 0.21/0.54 (![X: $i] : (cC114(X) <=> cTOP(X))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[739, 738])).
% 0.21/0.54 tff(741,plain,(
% 0.21/0.54 ![X: $i] : (cC114(X) <=> cTOP(X))),
% 0.21/0.54 inference(skolemize,[status(sab)],[740])).
% 0.21/0.54 tff(742,plain,
% 0.21/0.54 (![X: $i] : (cC114(X) <=> cTOP(X))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[741, 737])).
% 0.21/0.54 tff(743,plain,
% 0.21/0.54 ((~![X: $i] : (cC114(X) <=> cTOP(X))) | (cC114(iV21026) <=> cTOP(iV21026))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(744,plain,
% 0.21/0.54 (cC114(iV21026) <=> cTOP(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[743, 742])).
% 0.21/0.54 tff(745,plain,
% 0.21/0.54 ((~(cC114(iV21026) <=> cTOP(iV21026))) | cC114(iV21026) | (~cTOP(iV21026))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(746,plain,
% 0.21/0.54 ((~(cC114(iV21026) <=> cTOP(iV21026))) | cC114(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[745, 413])).
% 0.21/0.54 tff(747,plain,
% 0.21/0.54 (cC114(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[746, 744])).
% 0.21/0.54 tff(748,plain,
% 0.21/0.54 (^[X: $i] : refl((cC132(X) <=> (~((~cC130(X)) | (~cTOP(X))))) <=> (cC132(X) <=> (~((~cC130(X)) | (~cTOP(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(749,plain,
% 0.21/0.54 (![X: $i] : (cC132(X) <=> (~((~cC130(X)) | (~cTOP(X))))) <=> ![X: $i] : (cC132(X) <=> (~((~cC130(X)) | (~cTOP(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[748])).
% 0.21/0.54 tff(750,plain,
% 0.21/0.54 (^[X: $i] : rewrite((cC132(X) <=> (cC130(X) & cTOP(X))) <=> (cC132(X) <=> (~((~cC130(X)) | (~cTOP(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(751,plain,
% 0.21/0.54 (![X: $i] : (cC132(X) <=> (cC130(X) & cTOP(X))) <=> ![X: $i] : (cC132(X) <=> (~((~cC130(X)) | (~cTOP(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[750])).
% 0.21/0.54 tff(752,plain,
% 0.21/0.54 (![X: $i] : (cC132(X) <=> (cC130(X) & cTOP(X))) <=> ![X: $i] : (cC132(X) <=> (cC130(X) & cTOP(X)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(753,axiom,(![X: $i] : (cC132(X) <=> (cC130(X) & cTOP(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_40')).
% 0.21/0.54 tff(754,plain,
% 0.21/0.54 (![X: $i] : (cC132(X) <=> (cC130(X) & cTOP(X)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[753, 752])).
% 0.21/0.54 tff(755,plain,(
% 0.21/0.54 ![X: $i] : (cC132(X) <=> (cC130(X) & cTOP(X)))),
% 0.21/0.54 inference(skolemize,[status(sab)],[754])).
% 0.21/0.54 tff(756,plain,
% 0.21/0.54 (![X: $i] : (cC132(X) <=> (~((~cC130(X)) | (~cTOP(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[755, 751])).
% 0.21/0.54 tff(757,plain,
% 0.21/0.54 (![X: $i] : (cC132(X) <=> (~((~cC130(X)) | (~cTOP(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[756, 749])).
% 0.21/0.54 tff(758,plain,
% 0.21/0.54 ((~![X: $i] : (cC132(X) <=> (~((~cC130(X)) | (~cTOP(X)))))) | (cC132(iV21026) <=> (~((~cC130(iV21026)) | (~cTOP(iV21026)))))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(759,plain,
% 0.21/0.54 (cC132(iV21026) <=> (~((~cC130(iV21026)) | (~cTOP(iV21026))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[758, 757])).
% 0.21/0.54 tff(760,plain,
% 0.21/0.54 ((~((~cC130(iV21026)) | (~cTOP(iV21026)))) | (~cC130(iV21026)) | (~cTOP(iV21026))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(761,plain,
% 0.21/0.54 ((~((~cC130(iV21026)) | (~cTOP(iV21026)))) | (~cC130(iV21026))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[760, 413])).
% 0.21/0.54 tff(762,plain,
% 0.21/0.54 (~((~cC130(iV21026)) | (~cTOP(iV21026)))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[761, 639])).
% 0.21/0.54 tff(763,plain,
% 0.21/0.54 ((~(cC132(iV21026) <=> (~((~cC130(iV21026)) | (~cTOP(iV21026)))))) | cC132(iV21026) | ((~cC130(iV21026)) | (~cTOP(iV21026)))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(764,plain,
% 0.21/0.54 (cC132(iV21026)),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[763, 762, 759])).
% 0.21/0.54 tff(765,plain,
% 0.21/0.54 (^[X: $i] : refl((cC90(X) <=> (~((~cC86(X)) | (~cC88(X))))) <=> (cC90(X) <=> (~((~cC86(X)) | (~cC88(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(766,plain,
% 0.21/0.54 (![X: $i] : (cC90(X) <=> (~((~cC86(X)) | (~cC88(X))))) <=> ![X: $i] : (cC90(X) <=> (~((~cC86(X)) | (~cC88(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[765])).
% 0.21/0.54 tff(767,plain,
% 0.21/0.54 (^[X: $i] : rewrite((cC90(X) <=> (cC86(X) & cC88(X))) <=> (cC90(X) <=> (~((~cC86(X)) | (~cC88(X))))))),
% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(768,plain,
% 0.21/0.54 (![X: $i] : (cC90(X) <=> (cC86(X) & cC88(X))) <=> ![X: $i] : (cC90(X) <=> (~((~cC86(X)) | (~cC88(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[767])).
% 0.21/0.54 tff(769,plain,
% 0.21/0.54 (![X: $i] : (cC90(X) <=> (cC86(X) & cC88(X))) <=> ![X: $i] : (cC90(X) <=> (cC86(X) & cC88(X)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(770,axiom,(![X: $i] : (cC90(X) <=> (cC86(X) & cC88(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_174')).
% 0.21/0.54 tff(771,plain,
% 0.21/0.54 (![X: $i] : (cC90(X) <=> (cC86(X) & cC88(X)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[770, 769])).
% 0.21/0.54 tff(772,plain,(
% 0.21/0.54 ![X: $i] : (cC90(X) <=> (cC86(X) & cC88(X)))),
% 0.21/0.54 inference(skolemize,[status(sab)],[771])).
% 0.21/0.54 tff(773,plain,
% 0.21/0.54 (![X: $i] : (cC90(X) <=> (~((~cC86(X)) | (~cC88(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[772, 768])).
% 0.21/0.54 tff(774,plain,
% 0.21/0.54 (![X: $i] : (cC90(X) <=> (~((~cC86(X)) | (~cC88(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[773, 766])).
% 0.21/0.54 tff(775,plain,
% 0.21/0.54 ((~![X: $i] : (cC90(X) <=> (~((~cC86(X)) | (~cC88(X)))))) | (cC90(iV21026) <=> (~((~cC86(iV21026)) | (~cC88(iV21026)))))),
% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(776,plain,
% 0.21/0.54 (cC90(iV21026) <=> (~((~cC86(iV21026)) | (~cC88(iV21026))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[775, 774])).
% 0.21/0.54 tff(777,plain,
% 0.21/0.54 ((~((~cC86(iV21026)) | (~cC88(iV21026)))) | (~cC86(iV21026)) | (~cC88(iV21026))),
% 0.21/0.54 inference(tautology,[status(thm)],[])).
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% 0.21/0.54 inference(unit_resolution,[status(thm)],[777, 651])).
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% 0.21/0.54 inference(unit_resolution,[status(thm)],[778, 559])).
% 0.21/0.54 tff(780,plain,
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% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(781,plain,
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% 0.21/0.54 inference(unit_resolution,[status(thm)],[780, 779, 776])).
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% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(783,plain,
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% 0.21/0.54 inference(unit_resolution,[status(thm)],[782, 291])).
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% 0.21/0.54 inference(bind,[status(th)],[])).
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% 0.21/0.54 inference(quant_intro,[status(thm)],[784])).
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% 0.21/0.54 inference(bind,[status(th)],[])).
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% 0.21/0.54 inference(quant_intro,[status(thm)],[786])).
% 0.21/0.54 tff(788,plain,
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% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(789,axiom,(![X: $i] : (cC154(X) <=> (cC152(X) & cTOP(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_64')).
% 0.21/0.54 tff(790,plain,
% 0.21/0.54 (![X: $i] : (cC154(X) <=> (cC152(X) & cTOP(X)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[789, 788])).
% 0.21/0.54 tff(791,plain,(
% 0.21/0.54 ![X: $i] : (cC154(X) <=> (cC152(X) & cTOP(X)))),
% 0.21/0.54 inference(skolemize,[status(sab)],[790])).
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% 0.21/0.54 inference(modus_ponens,[status(thm)],[791, 787])).
% 0.21/0.54 tff(793,plain,
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% 0.21/0.54 inference(modus_ponens,[status(thm)],[792, 785])).
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% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(795,plain,
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% 0.21/0.54 inference(unit_resolution,[status(thm)],[794, 793])).
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% 0.21/0.54 inference(tautology,[status(thm)],[])).
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% 0.21/0.54 inference(unit_resolution,[status(thm)],[796, 413])).
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% 0.21/0.54 inference(unit_resolution,[status(thm)],[797, 674])).
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% 0.21/0.54 inference(tautology,[status(thm)],[])).
% 0.21/0.54 tff(800,plain,
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% 0.21/0.54 inference(unit_resolution,[status(thm)],[799, 798, 795])).
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% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(802,plain,
% 0.21/0.54 (![X: $i] : (cC110(X) <=> (~((~cC108(X)) | (~cTOP(X))))) <=> ![X: $i] : (cC110(X) <=> (~((~cC108(X)) | (~cTOP(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[801])).
% 0.21/0.54 tff(803,plain,
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% 0.21/0.54 inference(bind,[status(th)],[])).
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% 0.21/0.54 inference(quant_intro,[status(thm)],[803])).
% 0.21/0.54 tff(805,plain,
% 0.21/0.54 (![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X))) <=> ![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(806,axiom,(![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_15')).
% 0.21/0.54 tff(807,plain,
% 0.21/0.54 (![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X)))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[806, 805])).
% 0.21/0.54 tff(808,plain,(
% 0.21/0.54 ![X: $i] : (cC110(X) <=> (cC108(X) & cTOP(X)))),
% 0.21/0.54 inference(skolemize,[status(sab)],[807])).
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% 0.21/0.54 inference(modus_ponens,[status(thm)],[808, 804])).
% 0.21/0.54 tff(810,plain,
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% 0.21/0.54 inference(modus_ponens,[status(thm)],[809, 802])).
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% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
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% 0.21/0.54 (cC110(iV21026) <=> (~((~cC108(iV21026)) | (~cTOP(iV21026))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[811, 810])).
% 0.21/0.54 tff(813,plain,
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% 0.21/0.54 inference(bind,[status(th)],[])).
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% 0.21/0.54 inference(quant_intro,[status(thm)],[813])).
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% 0.21/0.54 inference(bind,[status(th)],[])).
% 0.21/0.54 tff(816,plain,
% 0.21/0.54 (![X: $i] : (cC108(X) <=> (cC98xcomp(X) & cC106xcomp(X))) <=> ![X: $i] : (cC108(X) <=> (~((~cC106xcomp(X)) | (~cC98xcomp(X)))))),
% 0.21/0.54 inference(quant_intro,[status(thm)],[815])).
% 0.21/0.54 tff(817,plain,
% 0.21/0.54 (![X: $i] : (cC108(X) <=> (cC98xcomp(X) & cC106xcomp(X))) <=> ![X: $i] : (cC108(X) <=> (cC98xcomp(X) & cC106xcomp(X)))),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(818,axiom,(![X: $i] : (cC108(X) <=> (cC98xcomp(X) & cC106xcomp(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_14')).
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% 0.21/0.54 inference(modus_ponens,[status(thm)],[818, 817])).
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% 0.21/0.54 ![X: $i] : (cC108(X) <=> (cC98xcomp(X) & cC106xcomp(X)))),
% 0.21/0.54 inference(skolemize,[status(sab)],[819])).
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% 0.21/0.54 inference(modus_ponens,[status(thm)],[820, 816])).
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% 0.21/0.54 (![X: $i] : (cC108(X) <=> (~((~cC106xcomp(X)) | (~cC98xcomp(X)))))),
% 0.21/0.54 inference(modus_ponens,[status(thm)],[821, 814])).
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% 0.21/0.54 inference(quant_inst,[status(thm)],[])).
% 0.21/0.54 tff(824,plain,
% 0.21/0.54 (cC108(iV21026) <=> (~((~cC106xcomp(iV21026)) | (~cC98xcomp(iV21026))))),
% 0.21/0.54 inference(unit_resolution,[status(thm)],[823, 822])).
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% 0.21/0.54 (cC106xcomp(iV21026) <=> cC106xcomp(iV21026)),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(826,axiom,(cC106xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_199')).
% 0.21/0.54 tff(827,plain,
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% 0.21/0.54 inference(modus_ponens,[status(thm)],[826, 825])).
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% 0.21/0.54 (cC98xcomp(iV21026) <=> cC98xcomp(iV21026)),
% 0.21/0.54 inference(rewrite,[status(thm)],[])).
% 0.21/0.54 tff(829,axiom,(cC98xcomp(iV21026)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_196')).
% 0.21/0.54 tff(830,plain,
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% 0.21/0.54 inference(modus_ponens,[status(thm)],[829, 828])).
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% 0.21/0.54 inference(unit_resolution,[status(thm)],[831, 830, 827])).
% 0.21/0.55 tff(833,plain,
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% 0.21/0.55 inference(unit_resolution,[status(thm)],[833, 832])).
% 0.21/0.55 tff(835,plain,
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% 0.21/0.55 inference(unit_resolution,[status(thm)],[834, 824])).
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% 0.21/0.55 ((~((~cC108(iV21026)) | (~cTOP(iV21026)))) | (~cC108(iV21026))),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[836, 413])).
% 0.21/0.55 tff(838,plain,
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% 0.21/0.55 inference(unit_resolution,[status(thm)],[837, 835])).
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% 0.21/0.55 ((~(cC110(iV21026) <=> (~((~cC108(iV21026)) | (~cTOP(iV21026)))))) | cC110(iV21026) | ((~cC108(iV21026)) | (~cTOP(iV21026)))),
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% 0.21/0.55 tff(840,plain,
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% 0.21/0.55 inference(unit_resolution,[status(thm)],[839, 838, 812])).
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% 0.21/0.55 (^[X: $i] : refl((cC136(X) <=> cTOP(X)) <=> (cC136(X) <=> cTOP(X)))),
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% 0.21/0.55 (![X: $i] : (cC136(X) <=> cTOP(X)) <=> ![X: $i] : (cC136(X) <=> cTOP(X))),
% 0.21/0.55 inference(quant_intro,[status(thm)],[841])).
% 0.21/0.55 tff(843,plain,
% 0.21/0.55 (![X: $i] : (cC136(X) <=> cTOP(X)) <=> ![X: $i] : (cC136(X) <=> cTOP(X))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(844,axiom,(![X: $i] : (cC136(X) <=> cTOP(X))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_42')).
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% 0.21/0.55 inference(modus_ponens,[status(thm)],[844, 843])).
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% 0.21/0.55 inference(skolemize,[status(sab)],[845])).
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% 0.21/0.55 inference(modus_ponens,[status(thm)],[846, 842])).
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% 0.21/0.55 ((~![X: $i] : (cC136(X) <=> cTOP(X))) | (cC136(iV21026) <=> cTOP(iV21026))),
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% 0.21/0.55 (cC136(iV21026) <=> cTOP(iV21026)),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[848, 847])).
% 0.21/0.55 tff(850,plain,
% 0.21/0.55 ((~(cC136(iV21026) <=> cTOP(iV21026))) | cC136(iV21026) | (~cTOP(iV21026))),
% 0.21/0.55 inference(tautology,[status(thm)],[])).
% 0.21/0.55 tff(851,plain,
% 0.21/0.55 ((~(cC136(iV21026) <=> cTOP(iV21026))) | cC136(iV21026)),
% 0.21/0.55 inference(unit_resolution,[status(thm)],[850, 413])).
% 0.21/0.55 tff(852,plain,
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% 0.21/0.55 inference(unit_resolution,[status(thm)],[851, 849])).
% 0.21/0.55 tff(853,plain,
% 0.21/0.55 ((~(~((~cC108(iV21026)) | (~cC40(iV21026)) | (~cC136(iV21026)) | (~cC10(iV21026)) | (~cC90(iV21026)) | (~cC58(iV21026)) | (~cC56(iV21026)) | (~cC158(iV21026)) | (~cC110(iV21026)) | (~cC22(iV21026)) | (~cC60(iV21026)) | (~cC154(iV21026)) | (~cC180(iV21026)) | (~cC78(iV21026)) | (~cC16(iV21026)) | (~cC132(iV21026)) | (~cC114(iV21026)) | (~cC20(iV21026)) | (~cC84(iV21026)) | (~cC38(iV21026)) | (~cC138(iV21026)) | (~cC174(iV21026)) | (~cC62(iV21026)) | (~cC8(iV21026)) | (~cC36(iV21026)) | (~cC112(iV21026)) | (~cC64(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC14(iV21026)) | (~cC152(iV21026)) | (~cC80(iV21026)) | (~cC88(iV21026)) | (~cC130(iV21026)) | (~cC168(iV21026)) | (~cC4(iV21026)) | (~cC134(iV21026)) | (~cC42(iV21026)) | (~cC156(iV21026)) | (~cC86(iV21026)) | (~cC30(iV21027)) | (~cC24(iV21027)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cC72(iV21030)) | (~cC66(iV21030))))) <=> ((~cC108(iV21026)) | (~cC40(iV21026)) | (~cC136(iV21026)) | (~cC10(iV21026)) | (~cC90(iV21026)) | (~cC58(iV21026)) | (~cC56(iV21026)) | (~cC158(iV21026)) | (~cC110(iV21026)) | (~cC22(iV21026)) | (~cC60(iV21026)) | (~cC154(iV21026)) | (~cC180(iV21026)) | (~cC78(iV21026)) | (~cC16(iV21026)) | (~cC132(iV21026)) | (~cC114(iV21026)) | (~cC20(iV21026)) | (~cC84(iV21026)) | (~cC38(iV21026)) | (~cC138(iV21026)) | (~cC174(iV21026)) | (~cC62(iV21026)) | (~cC8(iV21026)) | (~cC36(iV21026)) | (~cC112(iV21026)) | (~cC64(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC14(iV21026)) | (~cC152(iV21026)) | (~cC80(iV21026)) | (~cC88(iV21026)) | (~cC130(iV21026)) | (~cC168(iV21026)) | (~cC4(iV21026)) | (~cC134(iV21026)) | (~cC42(iV21026)) | (~cC156(iV21026)) | (~cC86(iV21026)) | (~cC30(iV21027)) | (~cC24(iV21027)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cC72(iV21030)) | (~cC66(iV21030)))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(854,plain,
% 0.21/0.55 ((cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cC72(iV21030) & cC66(iV21030)) <=> (~((~cC108(iV21026)) | (~cC40(iV21026)) | (~cC136(iV21026)) | (~cC10(iV21026)) | (~cC90(iV21026)) | (~cC58(iV21026)) | (~cC56(iV21026)) | (~cC158(iV21026)) | (~cC110(iV21026)) | (~cC22(iV21026)) | (~cC60(iV21026)) | (~cC154(iV21026)) | (~cC180(iV21026)) | (~cC78(iV21026)) | (~cC16(iV21026)) | (~cC132(iV21026)) | (~cC114(iV21026)) | (~cC20(iV21026)) | (~cC84(iV21026)) | (~cC38(iV21026)) | (~cC138(iV21026)) | (~cC174(iV21026)) | (~cC62(iV21026)) | (~cC8(iV21026)) | (~cC36(iV21026)) | (~cC112(iV21026)) | (~cC64(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC14(iV21026)) | (~cC152(iV21026)) | (~cC80(iV21026)) | (~cC88(iV21026)) | (~cC130(iV21026)) | (~cC168(iV21026)) | (~cC4(iV21026)) | (~cC134(iV21026)) | (~cC42(iV21026)) | (~cC156(iV21026)) | (~cC86(iV21026)) | (~cC30(iV21027)) | (~cC24(iV21027)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cC72(iV21030)) | (~cC66(iV21030))))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(855,plain,
% 0.21/0.55 ((~(cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cC72(iV21030) & cC66(iV21030))) <=> (~(~((~cC108(iV21026)) | (~cC40(iV21026)) | (~cC136(iV21026)) | (~cC10(iV21026)) | (~cC90(iV21026)) | (~cC58(iV21026)) | (~cC56(iV21026)) | (~cC158(iV21026)) | (~cC110(iV21026)) | (~cC22(iV21026)) | (~cC60(iV21026)) | (~cC154(iV21026)) | (~cC180(iV21026)) | (~cC78(iV21026)) | (~cC16(iV21026)) | (~cC132(iV21026)) | (~cC114(iV21026)) | (~cC20(iV21026)) | (~cC84(iV21026)) | (~cC38(iV21026)) | (~cC138(iV21026)) | (~cC174(iV21026)) | (~cC62(iV21026)) | (~cC8(iV21026)) | (~cC36(iV21026)) | (~cC112(iV21026)) | (~cC64(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC14(iV21026)) | (~cC152(iV21026)) | (~cC80(iV21026)) | (~cC88(iV21026)) | (~cC130(iV21026)) | (~cC168(iV21026)) | (~cC4(iV21026)) | (~cC134(iV21026)) | (~cC42(iV21026)) | (~cC156(iV21026)) | (~cC86(iV21026)) | (~cC30(iV21027)) | (~cC24(iV21027)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cC72(iV21030)) | (~cC66(iV21030)))))),
% 0.21/0.55 inference(monotonicity,[status(thm)],[854])).
% 0.21/0.55 tff(856,plain,
% 0.21/0.55 ((~(cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cC72(iV21030) & cC66(iV21030))) <=> ((~cC108(iV21026)) | (~cC40(iV21026)) | (~cC136(iV21026)) | (~cC10(iV21026)) | (~cC90(iV21026)) | (~cC58(iV21026)) | (~cC56(iV21026)) | (~cC158(iV21026)) | (~cC110(iV21026)) | (~cC22(iV21026)) | (~cC60(iV21026)) | (~cC154(iV21026)) | (~cC180(iV21026)) | (~cC78(iV21026)) | (~cC16(iV21026)) | (~cC132(iV21026)) | (~cC114(iV21026)) | (~cC20(iV21026)) | (~cC84(iV21026)) | (~cC38(iV21026)) | (~cC138(iV21026)) | (~cC174(iV21026)) | (~cC62(iV21026)) | (~cC8(iV21026)) | (~cC36(iV21026)) | (~cC112(iV21026)) | (~cC64(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC14(iV21026)) | (~cC152(iV21026)) | (~cC80(iV21026)) | (~cC88(iV21026)) | (~cC130(iV21026)) | (~cC168(iV21026)) | (~cC4(iV21026)) | (~cC134(iV21026)) | (~cC42(iV21026)) | (~cC156(iV21026)) | (~cC86(iV21026)) | (~cC30(iV21027)) | (~cC24(iV21027)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cC72(iV21030)) | (~cC66(iV21030)))),
% 0.21/0.55 inference(transitivity,[status(thm)],[855, 853])).
% 0.21/0.55 tff(857,plain,
% 0.21/0.55 ((~(cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cC72(iV21030) & cC66(iV21030))) <=> (~(cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cC72(iV21030) & cC66(iV21030)))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(858,plain,
% 0.21/0.55 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030))) <=> (~(cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cC72(iV21030) & cC66(iV21030)))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(859,plain,
% 0.21/0.55 ((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030)) <=> (![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030))),
% 0.21/0.55 inference(rewrite,[status(thm)],[])).
% 0.21/0.55 tff(860,plain,
% 0.21/0.55 ((~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030)))),
% 0.21/0.56 inference(monotonicity,[status(thm)],[859])).
% 0.21/0.56 tff(861,plain,
% 0.21/0.56 ((~(((((((((((((((((((((((((((((((((((((((((((((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC108(iV21026)) & cC40(iV21026)) & cC136(iV21026)) & cC10(iV21026)) & cC90(iV21026)) & cowlThing(iV21026)) & cC58(iV21026)) & cC56(iV21026)) & cC158(iV21026)) & cC110(iV21026)) & cC22(iV21026)) & cC60(iV21026)) & cC154(iV21026)) & cC180(iV21026)) & cC78(iV21026)) & cC16(iV21026)) & cC132(iV21026)) & cC114(iV21026)) & cC20(iV21026)) & cC84(iV21026)) & cC38(iV21026)) & cC138(iV21026)) & cC174(iV21026)) & cC62(iV21026)) & cC8(iV21026)) & cC36(iV21026)) & cC112(iV21026)) & cC64(iV21026)) & cC116(iV21026)) & cC82(iV21026)) & cC14(iV21026)) & cC152(iV21026)) & cC80(iV21026)) & cC88(iV21026)) & cC130(iV21026)) & cC168(iV21026)) & cC4(iV21026)) & cC134(iV21026)) & cC42(iV21026)) & cC156(iV21026)) & cC86(iV21026)) & cC30(iV21027)) & cowlThing(iV21027)) & cC24(iV21027)) & cC50(iV21029)) & cC44(iV21029)) & cowlThing(iV21029)) & cC72(iV21030)) & cC66(iV21030)) & cowlThing(iV21030))) <=> (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(862,axiom,(~(((((((((((((((((((((((((((((((((((((((((((((((((((![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X)))) & cC108(iV21026)) & cC40(iV21026)) & cC136(iV21026)) & cC10(iV21026)) & cC90(iV21026)) & cowlThing(iV21026)) & cC58(iV21026)) & cC56(iV21026)) & cC158(iV21026)) & cC110(iV21026)) & cC22(iV21026)) & cC60(iV21026)) & cC154(iV21026)) & cC180(iV21026)) & cC78(iV21026)) & cC16(iV21026)) & cC132(iV21026)) & cC114(iV21026)) & cC20(iV21026)) & cC84(iV21026)) & cC38(iV21026)) & cC138(iV21026)) & cC174(iV21026)) & cC62(iV21026)) & cC8(iV21026)) & cC36(iV21026)) & cC112(iV21026)) & cC64(iV21026)) & cC116(iV21026)) & cC82(iV21026)) & cC14(iV21026)) & cC152(iV21026)) & cC80(iV21026)) & cC88(iV21026)) & cC130(iV21026)) & cC168(iV21026)) & cC4(iV21026)) & cC134(iV21026)) & cC42(iV21026)) & cC156(iV21026)) & cC86(iV21026)) & cC30(iV21027)) & cowlThing(iV21027)) & cC24(iV21027)) & cC50(iV21029)) & cC44(iV21029)) & cowlThing(iV21029)) & cC72(iV21030)) & cC66(iV21030)) & cowlThing(iV21030))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','the_axiom')).
% 0.21/0.56 tff(863,plain,
% 0.21/0.56 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[862, 861])).
% 0.21/0.56 tff(864,plain,
% 0.21/0.56 (~(![X: $i] : (cowlThing(X) & (~cowlNothing(X))) & ![X: $i] : (xsd_string(X) <=> (~xsd_integer(X))) & cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cowlThing(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cowlThing(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cowlThing(iV21029) & cC72(iV21030) & cC66(iV21030) & cowlThing(iV21030))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[863, 860])).
% 0.21/0.56 tff(865,plain,
% 0.21/0.56 (~(cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cC72(iV21030) & cC66(iV21030))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[864, 858])).
% 0.21/0.56 tff(866,plain,
% 0.21/0.56 (~(cC108(iV21026) & cC40(iV21026) & cC136(iV21026) & cC10(iV21026) & cC90(iV21026) & cC58(iV21026) & cC56(iV21026) & cC158(iV21026) & cC110(iV21026) & cC22(iV21026) & cC60(iV21026) & cC154(iV21026) & cC180(iV21026) & cC78(iV21026) & cC16(iV21026) & cC132(iV21026) & cC114(iV21026) & cC20(iV21026) & cC84(iV21026) & cC38(iV21026) & cC138(iV21026) & cC174(iV21026) & cC62(iV21026) & cC8(iV21026) & cC36(iV21026) & cC112(iV21026) & cC64(iV21026) & cC116(iV21026) & cC82(iV21026) & cC14(iV21026) & cC152(iV21026) & cC80(iV21026) & cC88(iV21026) & cC130(iV21026) & cC168(iV21026) & cC4(iV21026) & cC134(iV21026) & cC42(iV21026) & cC156(iV21026) & cC86(iV21026) & cC30(iV21027) & cC24(iV21027) & cC50(iV21029) & cC44(iV21029) & cC72(iV21030) & cC66(iV21030))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[865, 857])).
% 0.21/0.56 tff(867,plain,
% 0.21/0.56 ((~cC108(iV21026)) | (~cC40(iV21026)) | (~cC136(iV21026)) | (~cC10(iV21026)) | (~cC90(iV21026)) | (~cC58(iV21026)) | (~cC56(iV21026)) | (~cC158(iV21026)) | (~cC110(iV21026)) | (~cC22(iV21026)) | (~cC60(iV21026)) | (~cC154(iV21026)) | (~cC180(iV21026)) | (~cC78(iV21026)) | (~cC16(iV21026)) | (~cC132(iV21026)) | (~cC114(iV21026)) | (~cC20(iV21026)) | (~cC84(iV21026)) | (~cC38(iV21026)) | (~cC138(iV21026)) | (~cC174(iV21026)) | (~cC62(iV21026)) | (~cC8(iV21026)) | (~cC36(iV21026)) | (~cC112(iV21026)) | (~cC64(iV21026)) | (~cC116(iV21026)) | (~cC82(iV21026)) | (~cC14(iV21026)) | (~cC152(iV21026)) | (~cC80(iV21026)) | (~cC88(iV21026)) | (~cC130(iV21026)) | (~cC168(iV21026)) | (~cC4(iV21026)) | (~cC134(iV21026)) | (~cC42(iV21026)) | (~cC156(iV21026)) | (~cC86(iV21026)) | (~cC30(iV21027)) | (~cC24(iV21027)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cC72(iV21030)) | (~cC66(iV21030))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[866, 856])).
% 0.21/0.56 tff(868,plain,
% 0.21/0.56 ((~cC30(iV21027)) | (~cC24(iV21027)) | (~cC50(iV21029)) | (~cC44(iV21029)) | (~cC72(iV21030)) | (~cC66(iV21030))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[867, 852, 835, 430, 475, 470, 293, 840, 298, 480, 800, 783, 532, 781, 764, 747, 735, 554, 418, 589, 733, 492, 303, 410, 708, 497, 692, 542, 676, 674, 537, 651, 639, 616, 308, 593, 435, 561, 559, 315, 313])).
% 0.21/0.56 tff(869,plain,
% 0.21/0.56 (~cC72(iV21030)),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[868, 220, 186, 152, 113, 74])).
% 0.21/0.56 tff(870,plain,
% 0.21/0.56 ((~(cC72(iV21030) | ![Y0: $i] : (~ra_Px24(iV21030, Y0)))) | cC72(iV21030) | ![Y0: $i] : (~ra_Px24(iV21030, Y0))),
% 0.21/0.56 inference(tautology,[status(thm)],[])).
% 0.21/0.56 tff(871,plain,
% 0.21/0.56 ((~(cC72(iV21030) | ![Y0: $i] : (~ra_Px24(iV21030, Y0)))) | ![Y0: $i] : (~ra_Px24(iV21030, Y0))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[870, 869])).
% 0.21/0.56 tff(872,plain,
% 0.21/0.56 (![Y0: $i] : (~ra_Px24(iV21030, Y0))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[871, 40])).
% 0.21/0.56 tff(873,plain,
% 0.21/0.56 ((~![Y0: $i] : (~ra_Px24(iV21030, Y0))) | (~ra_Px24(iV21030, tptp_fun_Y_107(iV21030)))),
% 0.21/0.56 inference(quant_inst,[status(thm)],[])).
% 0.21/0.56 tff(874,plain,
% 0.21/0.56 ($false),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[873, 872, 23])).
% 0.21/0.56 tff(875,plain,(~ra_Px24(iV21030, tptp_fun_Y_107(iV21030))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.56 tff(876,plain,
% 0.21/0.56 ((~(cC72xcomp(iV21030) | ra_Px24(iV21030, tptp_fun_Y_107(iV21030)))) | cC72xcomp(iV21030) | ra_Px24(iV21030, tptp_fun_Y_107(iV21030))),
% 0.21/0.56 inference(tautology,[status(thm)],[])).
% 0.21/0.56 tff(877,plain,
% 0.21/0.56 ((~(cC72xcomp(iV21030) | ra_Px24(iV21030, tptp_fun_Y_107(iV21030)))) | cC72xcomp(iV21030)),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[876, 875])).
% 0.21/0.56 tff(878,plain,
% 0.21/0.56 (cC72xcomp(iV21030)),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[877, 22])).
% 0.21/0.56 tff(879,plain,
% 0.21/0.56 (cC18xcomp(iV21030) <=> cC18xcomp(iV21030)),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(880,axiom,(cC18xcomp(iV21030)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_293')).
% 0.21/0.56 tff(881,plain,
% 0.21/0.56 (cC18xcomp(iV21030)),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[880, 879])).
% 0.21/0.56 tff(882,plain,
% 0.21/0.56 ((~((~cC18xcomp(iV21030)) | (~cC72xcomp(iV21030)))) | (~cC18xcomp(iV21030)) | (~cC72xcomp(iV21030))),
% 0.21/0.56 inference(tautology,[status(thm)],[])).
% 0.21/0.56 tff(883,plain,
% 0.21/0.56 ((~((~cC18xcomp(iV21030)) | (~cC72xcomp(iV21030)))) | (~cC72xcomp(iV21030))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[882, 881])).
% 0.21/0.56 tff(884,plain,
% 0.21/0.56 (~((~cC18xcomp(iV21030)) | (~cC72xcomp(iV21030)))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[883, 878])).
% 0.21/0.56 tff(885,plain,
% 0.21/0.56 (^[X: $i] : refl((cC74(X) <=> (~((~cC18xcomp(X)) | (~cC72xcomp(X))))) <=> (cC74(X) <=> (~((~cC18xcomp(X)) | (~cC72xcomp(X))))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(886,plain,
% 0.21/0.56 (![X: $i] : (cC74(X) <=> (~((~cC18xcomp(X)) | (~cC72xcomp(X))))) <=> ![X: $i] : (cC74(X) <=> (~((~cC18xcomp(X)) | (~cC72xcomp(X)))))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[885])).
% 0.21/0.56 tff(887,plain,
% 0.21/0.56 (^[X: $i] : rewrite((cC74(X) <=> (cC72xcomp(X) & cC18xcomp(X))) <=> (cC74(X) <=> (~((~cC18xcomp(X)) | (~cC72xcomp(X))))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(888,plain,
% 0.21/0.56 (![X: $i] : (cC74(X) <=> (cC72xcomp(X) & cC18xcomp(X))) <=> ![X: $i] : (cC74(X) <=> (~((~cC18xcomp(X)) | (~cC72xcomp(X)))))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[887])).
% 0.21/0.56 tff(889,plain,
% 0.21/0.56 (![X: $i] : (cC74(X) <=> (cC72xcomp(X) & cC18xcomp(X))) <=> ![X: $i] : (cC74(X) <=> (cC72xcomp(X) & cC18xcomp(X)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(890,axiom,(![X: $i] : (cC74(X) <=> (cC72xcomp(X) & cC18xcomp(X)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_161')).
% 0.21/0.56 tff(891,plain,
% 0.21/0.56 (![X: $i] : (cC74(X) <=> (cC72xcomp(X) & cC18xcomp(X)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[890, 889])).
% 0.21/0.56 tff(892,plain,(
% 0.21/0.56 ![X: $i] : (cC74(X) <=> (cC72xcomp(X) & cC18xcomp(X)))),
% 0.21/0.56 inference(skolemize,[status(sab)],[891])).
% 0.21/0.56 tff(893,plain,
% 0.21/0.56 (![X: $i] : (cC74(X) <=> (~((~cC18xcomp(X)) | (~cC72xcomp(X)))))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[892, 888])).
% 0.21/0.56 tff(894,plain,
% 0.21/0.56 (![X: $i] : (cC74(X) <=> (~((~cC18xcomp(X)) | (~cC72xcomp(X)))))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[893, 886])).
% 0.21/0.56 tff(895,plain,
% 0.21/0.56 ((~![X: $i] : (cC74(X) <=> (~((~cC18xcomp(X)) | (~cC72xcomp(X)))))) | (cC74(iV21030) <=> (~((~cC18xcomp(iV21030)) | (~cC72xcomp(iV21030)))))),
% 0.21/0.56 inference(quant_inst,[status(thm)],[])).
% 0.21/0.56 tff(896,plain,
% 0.21/0.56 (cC74(iV21030) <=> (~((~cC18xcomp(iV21030)) | (~cC72xcomp(iV21030))))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[895, 894])).
% 0.21/0.56 tff(897,plain,
% 0.21/0.56 ((~(cC74(iV21030) <=> (~((~cC18xcomp(iV21030)) | (~cC72xcomp(iV21030)))))) | cC74(iV21030) | ((~cC18xcomp(iV21030)) | (~cC72xcomp(iV21030)))),
% 0.21/0.56 inference(tautology,[status(thm)],[])).
% 0.21/0.56 tff(898,plain,
% 0.21/0.56 (cC74(iV21030) | ((~cC18xcomp(iV21030)) | (~cC72xcomp(iV21030)))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[897, 896])).
% 0.21/0.56 tff(899,plain,
% 0.21/0.56 (cC74(iV21030)),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[898, 884])).
% 0.21/0.56 tff(900,plain,
% 0.21/0.56 (^[X: $i] : refl((~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0)))))) <=> (~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0)))))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(901,plain,
% 0.21/0.56 (![X: $i] : (~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0)))))) <=> ![X: $i] : (~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0))))))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[900])).
% 0.21/0.56 tff(902,plain,
% 0.21/0.56 (^[X: $i] : rewrite((~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0)))))) <=> (~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0)))))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(903,plain,
% 0.21/0.56 (![X: $i] : (~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0)))))) <=> ![X: $i] : (~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0))))))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[902])).
% 0.21/0.56 tff(904,plain,
% 0.21/0.56 (![X: $i] : (~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0)))))) <=> ![X: $i] : (~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0))))))),
% 0.21/0.56 inference(transitivity,[status(thm)],[903, 901])).
% 0.21/0.56 tff(905,plain,
% 0.21/0.56 (^[X: $i] : trans(monotonicity(rewrite((cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0))) <=> (cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0)))), ((((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X))) & (cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0)))) <=> (((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X))) & (cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0)))))), rewrite((((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X))) & (cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0)))) <=> (~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0))))))), ((((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X))) & (cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0)))) <=> (~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0))))))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(906,plain,
% 0.21/0.56 (![X: $i] : (((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X))) & (cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0)))) <=> ![X: $i] : (~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0))))))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[905])).
% 0.21/0.56 tff(907,plain,
% 0.21/0.56 (![X: $i] : (cC74(X) <=> ?[Y0: $i] : ra_Px87(X, Y0)) <=> ![X: $i] : (cC74(X) <=> ?[Y0: $i] : ra_Px87(X, Y0))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(908,axiom,(![X: $i] : (cC74(X) <=> ?[Y0: $i] : ra_Px87(X, Y0))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_162')).
% 0.21/0.56 tff(909,plain,
% 0.21/0.56 (![X: $i] : (cC74(X) <=> ?[Y0: $i] : ra_Px87(X, Y0))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[908, 907])).
% 0.21/0.56 tff(910,plain,(
% 0.21/0.56 ![X: $i] : (((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X))) & (cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0))))),
% 0.21/0.56 inference(skolemize,[status(sab)],[909])).
% 0.21/0.56 tff(911,plain,
% 0.21/0.56 (![X: $i] : (~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0))))))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[910, 906])).
% 0.21/0.56 tff(912,plain,
% 0.21/0.56 (![X: $i] : (~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0))))))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[911, 904])).
% 0.21/0.56 tff(913,plain,
% 0.21/0.56 ((~![X: $i] : (~((~((~cC74(X)) | ra_Px87(X, tptp_fun_Y0_108(X)))) | (~(cC74(X) | ![Y0: $i] : (~ra_Px87(X, Y0))))))) | (~((~((~cC74(iV21030)) | ra_Px87(iV21030, tptp_fun_Y0_108(iV21030)))) | (~(cC74(iV21030) | ![Y0: $i] : (~ra_Px87(iV21030, Y0))))))),
% 0.21/0.56 inference(quant_inst,[status(thm)],[])).
% 0.21/0.56 tff(914,plain,
% 0.21/0.56 (~((~((~cC74(iV21030)) | ra_Px87(iV21030, tptp_fun_Y0_108(iV21030)))) | (~(cC74(iV21030) | ![Y0: $i] : (~ra_Px87(iV21030, Y0)))))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[913, 912])).
% 0.21/0.56 tff(915,plain,
% 0.21/0.56 (((~((~cC74(iV21030)) | ra_Px87(iV21030, tptp_fun_Y0_108(iV21030)))) | (~(cC74(iV21030) | ![Y0: $i] : (~ra_Px87(iV21030, Y0))))) | ((~cC74(iV21030)) | ra_Px87(iV21030, tptp_fun_Y0_108(iV21030)))),
% 0.21/0.56 inference(tautology,[status(thm)],[])).
% 0.21/0.56 tff(916,plain,
% 0.21/0.56 ((~cC74(iV21030)) | ra_Px87(iV21030, tptp_fun_Y0_108(iV21030))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[915, 914])).
% 0.21/0.56 tff(917,plain,
% 0.21/0.56 ((~((~cC74(iV21030)) | ra_Px87(iV21030, tptp_fun_Y0_108(iV21030)))) | (~cC74(iV21030)) | ra_Px87(iV21030, tptp_fun_Y0_108(iV21030))),
% 0.21/0.56 inference(tautology,[status(thm)],[])).
% 0.21/0.56 tff(918,plain,
% 0.21/0.56 ((~cC74(iV21030)) | ra_Px87(iV21030, tptp_fun_Y0_108(iV21030))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[917, 916])).
% 0.21/0.56 tff(919,plain,
% 0.21/0.56 (ra_Px87(iV21030, tptp_fun_Y0_108(iV21030))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[918, 899])).
% 0.21/0.56 tff(920,plain,
% 0.21/0.56 (^[X: $i] : rewrite((~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))))) <=> (~((~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))) | (~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(921,plain,
% 0.21/0.56 (![X: $i] : (~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))))) <=> ![X: $i] : (~((~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))) | (~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y))))))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[920])).
% 0.21/0.56 tff(922,plain,
% 0.21/0.56 (^[X: $i] : refl((~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))))) <=> (~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(923,plain,
% 0.21/0.56 (![X: $i] : (~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))))) <=> ![X: $i] : (~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X))))))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[922])).
% 0.21/0.56 tff(924,plain,
% 0.21/0.56 (^[X: $i] : rewrite((~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))))) <=> (~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(925,plain,
% 0.21/0.56 (![X: $i] : (~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))))) <=> ![X: $i] : (~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X))))))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[924])).
% 0.21/0.56 tff(926,plain,
% 0.21/0.56 (![X: $i] : (~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))))) <=> ![X: $i] : (~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X))))))),
% 0.21/0.56 inference(transitivity,[status(thm)],[925, 923])).
% 0.21/0.56 tff(927,plain,
% 0.21/0.56 (^[X: $i] : trans(monotonicity(rewrite(((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y))) <=> ((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))), ((((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y))) & (cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))) <=> (((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y))) & (cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))))), rewrite((((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y))) & (cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))) <=> (~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X))))))), ((((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y))) & (cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))) <=> (~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X))))))))),
% 0.21/0.56 inference(bind,[status(th)],[])).
% 0.21/0.56 tff(928,plain,
% 0.21/0.56 (![X: $i] : (((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y))) & (cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))) <=> ![X: $i] : (~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X))))))),
% 0.21/0.56 inference(quant_intro,[status(thm)],[927])).
% 0.21/0.56 tff(929,plain,
% 0.21/0.56 (![X: $i] : (cC74xcomp(X) <=> (~?[Y: $i] : ra_Px87(X, Y))) <=> ![X: $i] : (cC74xcomp(X) <=> (~?[Y: $i] : ra_Px87(X, Y)))),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(930,axiom,(![X: $i] : (cC74xcomp(X) <=> (~?[Y: $i] : ra_Px87(X, Y)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_163')).
% 0.21/0.56 tff(931,plain,
% 0.21/0.56 (![X: $i] : (cC74xcomp(X) <=> (~?[Y: $i] : ra_Px87(X, Y)))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[930, 929])).
% 0.21/0.56 tff(932,plain,(
% 0.21/0.56 ![X: $i] : (((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y))) & (cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X))))),
% 0.21/0.56 inference(skolemize,[status(sab)],[931])).
% 0.21/0.56 tff(933,plain,
% 0.21/0.56 (![X: $i] : (~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X))))))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[932, 928])).
% 0.21/0.56 tff(934,plain,
% 0.21/0.56 (![X: $i] : (~((~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y)))) | (~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X))))))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[933, 926])).
% 0.21/0.56 tff(935,plain,
% 0.21/0.56 (![X: $i] : (~((~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))) | (~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y))))))),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[934, 921])).
% 0.21/0.56 tff(936,plain,
% 0.21/0.56 ((~![X: $i] : (~((~(cC74xcomp(X) | ra_Px87(X, tptp_fun_Y_109(X)))) | (~((~cC74xcomp(X)) | ![Y: $i] : (~ra_Px87(X, Y))))))) | (~((~(cC74xcomp(iV21030) | ra_Px87(iV21030, tptp_fun_Y_109(iV21030)))) | (~((~cC74xcomp(iV21030)) | ![Y: $i] : (~ra_Px87(iV21030, Y))))))),
% 0.21/0.56 inference(quant_inst,[status(thm)],[])).
% 0.21/0.56 tff(937,plain,
% 0.21/0.56 (~((~(cC74xcomp(iV21030) | ra_Px87(iV21030, tptp_fun_Y_109(iV21030)))) | (~((~cC74xcomp(iV21030)) | ![Y: $i] : (~ra_Px87(iV21030, Y)))))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[936, 935])).
% 0.21/0.56 tff(938,plain,
% 0.21/0.56 (((~(cC74xcomp(iV21030) | ra_Px87(iV21030, tptp_fun_Y_109(iV21030)))) | (~((~cC74xcomp(iV21030)) | ![Y: $i] : (~ra_Px87(iV21030, Y))))) | ((~cC74xcomp(iV21030)) | ![Y: $i] : (~ra_Px87(iV21030, Y)))),
% 0.21/0.56 inference(tautology,[status(thm)],[])).
% 0.21/0.56 tff(939,plain,
% 0.21/0.56 ((~cC74xcomp(iV21030)) | ![Y: $i] : (~ra_Px87(iV21030, Y))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[938, 937])).
% 0.21/0.56 tff(940,plain,
% 0.21/0.56 (cC74xcomp(iV21030) <=> cC74xcomp(iV21030)),
% 0.21/0.56 inference(rewrite,[status(thm)],[])).
% 0.21/0.56 tff(941,axiom,(cC74xcomp(iV21030)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','axiom_307')).
% 0.21/0.56 tff(942,plain,
% 0.21/0.56 (cC74xcomp(iV21030)),
% 0.21/0.56 inference(modus_ponens,[status(thm)],[941, 940])).
% 0.21/0.56 tff(943,plain,
% 0.21/0.56 ((~((~cC74xcomp(iV21030)) | ![Y: $i] : (~ra_Px87(iV21030, Y)))) | (~cC74xcomp(iV21030)) | ![Y: $i] : (~ra_Px87(iV21030, Y))),
% 0.21/0.56 inference(tautology,[status(thm)],[])).
% 0.21/0.56 tff(944,plain,
% 0.21/0.56 ((~((~cC74xcomp(iV21030)) | ![Y: $i] : (~ra_Px87(iV21030, Y)))) | ![Y: $i] : (~ra_Px87(iV21030, Y))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[943, 942])).
% 0.21/0.56 tff(945,plain,
% 0.21/0.56 (![Y: $i] : (~ra_Px87(iV21030, Y))),
% 0.21/0.56 inference(unit_resolution,[status(thm)],[944, 939])).
% 0.21/0.56 tff(946,plain,
% 0.21/0.56 ((~![Y: $i] : (~ra_Px87(iV21030, Y))) | (~ra_Px87(iV21030, tptp_fun_Y0_108(iV21030)))),
% 0.21/0.57 inference(quant_inst,[status(thm)],[])).
% 0.21/0.57 tff(947,plain,
% 0.21/0.57 ($false),
% 0.21/0.57 inference(unit_resolution,[status(thm)],[946, 945, 919])).
% 0.21/0.57 % SZS output end Proof
%------------------------------------------------------------------------------