TSTP Solution File: SYN459-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN459-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 23:55:35 EDT 2022
% Result : Unsatisfiable 1.00s 0.90s
% Output : Proof 1.25s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN459-1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.33 % Computer : n024.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Mon Sep 5 03:59:48 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 1.00/0.90 % SZS status Unsatisfiable
% 1.00/0.90 % SZS output start Proof
% 1.00/0.90 tff(c2_1_type, type, (
% 1.00/0.90 c2_1: $i > $o)).
% 1.00/0.90 tff(a200_type, type, (
% 1.00/0.90 a200: $i)).
% 1.00/0.90 tff(c0_1_type, type, (
% 1.00/0.90 c0_1: $i > $o)).
% 1.00/0.90 tff(hskp10_type, type, (
% 1.00/0.90 hskp10: $o)).
% 1.00/0.90 tff(c1_1_type, type, (
% 1.00/0.90 c1_1: $i > $o)).
% 1.00/0.90 tff(c3_1_type, type, (
% 1.00/0.90 c3_1: $i > $o)).
% 1.00/0.90 tff(ndr1_0_type, type, (
% 1.00/0.90 ndr1_0: $o)).
% 1.00/0.90 tff(a191_type, type, (
% 1.00/0.90 a191: $i)).
% 1.00/0.90 tff(hskp2_type, type, (
% 1.00/0.90 hskp2: $o)).
% 1.00/0.90 tff(a221_type, type, (
% 1.00/0.90 a221: $i)).
% 1.00/0.90 tff(a214_type, type, (
% 1.00/0.90 a214: $i)).
% 1.00/0.90 tff(hskp5_type, type, (
% 1.00/0.90 hskp5: $o)).
% 1.00/0.90 tff(a194_type, type, (
% 1.00/0.90 a194: $i)).
% 1.00/0.90 tff(a190_type, type, (
% 1.00/0.90 a190: $i)).
% 1.00/0.90 tff(hskp1_type, type, (
% 1.00/0.90 hskp1: $o)).
% 1.00/0.90 tff(hskp19_type, type, (
% 1.00/0.90 hskp19: $o)).
% 1.00/0.90 tff(a215_type, type, (
% 1.00/0.90 a215: $i)).
% 1.00/0.90 tff(hskp15_type, type, (
% 1.00/0.90 hskp15: $o)).
% 1.00/0.90 tff(a230_type, type, (
% 1.00/0.90 a230: $i)).
% 1.00/0.90 tff(hskp25_type, type, (
% 1.00/0.90 hskp25: $o)).
% 1.00/0.90 tff(a225_type, type, (
% 1.00/0.90 a225: $i)).
% 1.00/0.90 tff(a195_type, type, (
% 1.00/0.90 a195: $i)).
% 1.00/0.90 tff(hskp6_type, type, (
% 1.00/0.90 hskp6: $o)).
% 1.00/0.90 tff(a209_type, type, (
% 1.00/0.90 a209: $i)).
% 1.00/0.90 tff(hskp13_type, type, (
% 1.00/0.90 hskp13: $o)).
% 1.00/0.90 tff(a257_type, type, (
% 1.00/0.90 a257: $i)).
% 1.00/0.90 tff(hskp21_type, type, (
% 1.00/0.90 hskp21: $o)).
% 1.00/0.90 tff(hskp24_type, type, (
% 1.00/0.90 hskp24: $o)).
% 1.00/0.90 tff(a189_type, type, (
% 1.00/0.90 a189: $i)).
% 1.00/0.90 tff(hskp23_type, type, (
% 1.00/0.90 hskp23: $o)).
% 1.00/0.90 tff(a199_type, type, (
% 1.00/0.90 a199: $i)).
% 1.00/0.90 tff(hskp9_type, type, (
% 1.00/0.90 hskp9: $o)).
% 1.00/0.90 tff(hskp0_type, type, (
% 1.00/0.90 hskp0: $o)).
% 1.00/0.90 tff(a188_type, type, (
% 1.00/0.90 a188: $i)).
% 1.00/0.90 tff(a210_type, type, (
% 1.00/0.90 a210: $i)).
% 1.00/0.90 tff(hskp14_type, type, (
% 1.00/0.90 hskp14: $o)).
% 1.00/0.90 tff(hskp7_type, type, (
% 1.00/0.90 hskp7: $o)).
% 1.00/0.90 tff(a197_type, type, (
% 1.00/0.90 a197: $i)).
% 1.00/0.90 tff(hskp8_type, type, (
% 1.00/0.90 hskp8: $o)).
% 1.00/0.90 tff(a198_type, type, (
% 1.00/0.90 a198: $i)).
% 1.00/0.90 tff(hskp22_type, type, (
% 1.00/0.90 hskp22: $o)).
% 1.00/0.90 tff(a259_type, type, (
% 1.00/0.90 a259: $i)).
% 1.00/0.90 tff(hskp16_type, type, (
% 1.00/0.90 hskp16: $o)).
% 1.00/0.90 tff(1,plain,
% 1.00/0.90 (^[V: $i, U: $i] : refl((hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) <=> (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)))),
% 1.00/0.90 inference(bind,[status(th)],[])).
% 1.00/0.90 tff(2,plain,
% 1.00/0.90 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.00/0.90 inference(quant_intro,[status(thm)],[1])).
% 1.00/0.90 tff(3,plain,
% 1.00/0.90 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.00/0.90 inference(rewrite,[status(thm)],[])).
% 1.00/0.90 tff(4,plain,
% 1.00/0.90 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ndr1_0) | (~c1_1(U))) | (~c3_1(U))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)))), (((((~ndr1_0) | (~c1_1(U))) | (~c3_1(U))) | c1_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | c1_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V))), (((((~ndr1_0) | (~c1_1(U))) | (~c3_1(U))) | c1_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V)))), ((((((~ndr1_0) | (~c1_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V)) | c2_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V))), ((((((~ndr1_0) | (~c1_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V)))), (((((((~ndr1_0) | (~c1_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))), (((((((~ndr1_0) | (~c1_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)))), ((((((((~ndr1_0) | (~c1_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | c0_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))), ((((((((~ndr1_0) | (~c1_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)))), (((((((((~ndr1_0) | (~c1_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | hskp10) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | hskp10))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | hskp10) <=> (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))), (((((((((~ndr1_0) | (~c1_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | hskp10) <=> (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))))),
% 1.00/0.90 inference(bind,[status(th)],[])).
% 1.00/0.90 tff(5,plain,
% 1.00/0.90 (![V: $i, U: $i] : ((((((((~ndr1_0) | (~c1_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | hskp10) <=> ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.00/0.90 inference(quant_intro,[status(thm)],[4])).
% 1.00/0.90 tff(6,axiom,(![V: $i, U: $i] : ((((((((~ndr1_0) | (~c1_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | hskp10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause134')).
% 1.00/0.90 tff(7,plain,
% 1.00/0.90 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[6, 5])).
% 1.00/0.90 tff(8,plain,
% 1.00/0.90 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[7, 3])).
% 1.00/0.90 tff(9,plain,(
% 1.00/0.90 ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.00/0.90 inference(skolemize,[status(sab)],[8])).
% 1.00/0.90 tff(10,plain,
% 1.00/0.90 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[9, 2])).
% 1.00/0.90 tff(11,assumption,(~c2_1(a194)), introduced(assumption)).
% 1.00/0.90 tff(12,assumption,(~c1_1(a194)), introduced(assumption)).
% 1.00/0.90 tff(13,assumption,(~c3_1(a190)), introduced(assumption)).
% 1.00/0.90 tff(14,assumption,(~hskp2), introduced(assumption)).
% 1.00/0.90 tff(15,assumption,(c1_1(a214)), introduced(assumption)).
% 1.00/0.90 tff(16,plain,
% 1.00/0.90 (^[V: $i, U: $i] : refl((hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) <=> (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))))),
% 1.00/0.90 inference(bind,[status(th)],[])).
% 1.00/0.90 tff(17,plain,
% 1.00/0.90 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.00/0.90 inference(quant_intro,[status(thm)],[16])).
% 1.00/0.90 tff(18,plain,
% 1.00/0.90 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.00/0.90 inference(rewrite,[status(thm)],[])).
% 1.00/0.90 tff(19,plain,
% 1.00/0.90 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c0_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c0_1(U)))), ((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c1_1(V)))), ((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c1_1(V))))), (((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> (((~ndr1_0) | (~c0_1(U)) | (~c1_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)))), (((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c1_1(U)) <=> (((~ndr1_0) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c1_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | hskp2) <=> (((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) | hskp2))), rewrite((((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) | hskp2) <=> (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | hskp2) <=> (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))))),
% 1.00/0.90 inference(bind,[status(th)],[])).
% 1.00/0.90 tff(20,plain,
% 1.00/0.90 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | hskp2) <=> ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.00/0.90 inference(quant_intro,[status(thm)],[19])).
% 1.00/0.90 tff(21,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | hskp2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause138')).
% 1.00/0.90 tff(22,plain,
% 1.00/0.90 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[21, 20])).
% 1.00/0.90 tff(23,plain,
% 1.00/0.90 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[22, 18])).
% 1.00/0.90 tff(24,plain,(
% 1.00/0.90 ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.00/0.90 inference(skolemize,[status(sab)],[23])).
% 1.00/0.90 tff(25,plain,
% 1.00/0.90 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[24, 17])).
% 1.00/0.90 tff(26,plain,
% 1.00/0.90 (^[V: $i, U: $i] : refl((hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))) <=> (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))))),
% 1.00/0.90 inference(bind,[status(th)],[])).
% 1.00/0.90 tff(27,plain,
% 1.00/0.90 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.00/0.90 inference(quant_intro,[status(thm)],[26])).
% 1.00/0.90 tff(28,plain,
% 1.00/0.90 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.00/0.90 inference(rewrite,[status(thm)],[])).
% 1.00/0.90 tff(29,plain,
% 1.00/0.90 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c2_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)))), ((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c2_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(V)))), ((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(V))))), (((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(V))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(V)))), (((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(V))))), ((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | (~c1_1(V)))), ((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | (~c1_1(V))))), (((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)))), (((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V))))), ((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V))) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))), ((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))))), (((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) | hskp5) <=> (((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))) | hskp5))), rewrite((((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))) | hskp5) <=> (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))), (((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) | hskp5) <=> (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))))),
% 1.00/0.90 inference(bind,[status(th)],[])).
% 1.00/0.90 tff(30,plain,
% 1.00/0.90 (![V: $i, U: $i] : ((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) | hskp5) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.00/0.90 inference(quant_intro,[status(thm)],[29])).
% 1.00/0.90 tff(31,axiom,(![V: $i, U: $i] : ((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) | hskp5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause133')).
% 1.00/0.90 tff(32,plain,
% 1.00/0.90 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[31, 30])).
% 1.00/0.90 tff(33,plain,
% 1.00/0.90 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[32, 28])).
% 1.00/0.90 tff(34,plain,(
% 1.00/0.90 ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.00/0.90 inference(skolemize,[status(sab)],[33])).
% 1.00/0.90 tff(35,plain,
% 1.00/0.90 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[34, 27])).
% 1.00/0.90 tff(36,assumption,(~hskp15), introduced(assumption)).
% 1.00/0.90 tff(37,assumption,(hskp2), introduced(assumption)).
% 1.00/0.90 tff(38,plain,
% 1.00/0.90 (((~hskp2) | (~c3_1(a191))) <=> ((~hskp2) | (~c3_1(a191)))),
% 1.00/0.90 inference(rewrite,[status(thm)],[])).
% 1.00/0.90 tff(39,plain,
% 1.00/0.90 (((~c3_1(a191)) | (~hskp2)) <=> ((~hskp2) | (~c3_1(a191)))),
% 1.00/0.90 inference(rewrite,[status(thm)],[])).
% 1.00/0.90 tff(40,axiom,((~c3_1(a191)) | (~hskp2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause107')).
% 1.00/0.90 tff(41,plain,
% 1.00/0.90 ((~hskp2) | (~c3_1(a191))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[40, 39])).
% 1.00/0.90 tff(42,plain,
% 1.00/0.90 ((~hskp2) | (~c3_1(a191))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[41, 38])).
% 1.00/0.90 tff(43,plain,
% 1.00/0.90 (~c3_1(a191)),
% 1.00/0.90 inference(unit_resolution,[status(thm)],[42, 37])).
% 1.00/0.90 tff(44,plain,
% 1.00/0.90 (((~hskp2) | (~c2_1(a191))) <=> ((~hskp2) | (~c2_1(a191)))),
% 1.00/0.90 inference(rewrite,[status(thm)],[])).
% 1.00/0.90 tff(45,plain,
% 1.00/0.90 (((~c2_1(a191)) | (~hskp2)) <=> ((~hskp2) | (~c2_1(a191)))),
% 1.00/0.90 inference(rewrite,[status(thm)],[])).
% 1.00/0.90 tff(46,axiom,((~c2_1(a191)) | (~hskp2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause106')).
% 1.00/0.90 tff(47,plain,
% 1.00/0.90 ((~hskp2) | (~c2_1(a191))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[46, 45])).
% 1.00/0.90 tff(48,plain,
% 1.00/0.90 ((~hskp2) | (~c2_1(a191))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[47, 44])).
% 1.00/0.90 tff(49,plain,
% 1.00/0.90 (~c2_1(a191)),
% 1.00/0.90 inference(unit_resolution,[status(thm)],[48, 37])).
% 1.00/0.90 tff(50,plain,
% 1.00/0.90 (((~hskp2) | (~c1_1(a191))) <=> ((~hskp2) | (~c1_1(a191)))),
% 1.00/0.90 inference(rewrite,[status(thm)],[])).
% 1.00/0.90 tff(51,plain,
% 1.00/0.90 (((~c1_1(a191)) | (~hskp2)) <=> ((~hskp2) | (~c1_1(a191)))),
% 1.00/0.90 inference(rewrite,[status(thm)],[])).
% 1.00/0.90 tff(52,axiom,((~c1_1(a191)) | (~hskp2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause105')).
% 1.00/0.90 tff(53,plain,
% 1.00/0.90 ((~hskp2) | (~c1_1(a191))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[52, 51])).
% 1.00/0.90 tff(54,plain,
% 1.00/0.90 ((~hskp2) | (~c1_1(a191))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[53, 50])).
% 1.00/0.90 tff(55,plain,
% 1.00/0.90 (~c1_1(a191)),
% 1.00/0.90 inference(unit_resolution,[status(thm)],[54, 37])).
% 1.00/0.90 tff(56,plain,
% 1.00/0.90 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))))),
% 1.00/0.90 inference(bind,[status(th)],[])).
% 1.00/0.90 tff(57,plain,
% 1.00/0.90 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.00/0.90 inference(quant_intro,[status(thm)],[56])).
% 1.00/0.90 tff(58,plain,
% 1.00/0.90 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.00/0.90 inference(rewrite,[status(thm)],[])).
% 1.00/0.90 tff(59,plain,
% 1.00/0.90 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c0_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c0_1(U)))), ((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c1_1(V)))), ((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c1_1(V))))), (((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)))), (((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) <=> (((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | (~c2_1(W))))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W)))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(U)) <=> (((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W)))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c2_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W)))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c0_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W)))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))))), ((((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c2_1(W)))), ((((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c2_1(W))))), (((((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c2_1(W))) | c1_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c2_1(W))) | c1_1(W)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))), (((((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))))),
% 1.00/0.90 inference(bind,[status(th)],[])).
% 1.00/0.90 tff(60,plain,
% 1.00/0.90 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.00/0.90 inference(quant_intro,[status(thm)],[59])).
% 1.00/0.90 tff(61,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause155')).
% 1.00/0.90 tff(62,plain,
% 1.00/0.90 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[61, 60])).
% 1.00/0.90 tff(63,plain,
% 1.00/0.90 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[62, 58])).
% 1.00/0.90 tff(64,plain,(
% 1.00/0.90 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.00/0.90 inference(skolemize,[status(sab)],[63])).
% 1.00/0.90 tff(65,plain,
% 1.00/0.90 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.00/0.90 inference(modus_ponens,[status(thm)],[64, 57])).
% 1.00/0.90 tff(66,assumption,(~c2_1(a191)), introduced(assumption)).
% 1.00/0.90 tff(67,assumption,(~c1_1(a191)), introduced(assumption)).
% 1.00/0.90 tff(68,assumption,(~c3_1(a191)), introduced(assumption)).
% 1.00/0.90 tff(69,assumption,(~hskp5), introduced(assumption)).
% 1.00/0.90 tff(70,plain,
% 1.00/0.90 ((hskp21 | hskp15 | hskp5) <=> (hskp21 | hskp15 | hskp5)),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(71,plain,
% 1.00/0.91 (((hskp15 | hskp5) | hskp21) <=> (hskp21 | hskp15 | hskp5)),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(72,plain,
% 1.00/0.91 ((hskp5 | hskp15) <=> (hskp15 | hskp5)),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(73,plain,
% 1.00/0.91 (((hskp5 | hskp15) | hskp21) <=> ((hskp15 | hskp5) | hskp21)),
% 1.00/0.91 inference(monotonicity,[status(thm)],[72])).
% 1.00/0.91 tff(74,plain,
% 1.00/0.91 (((hskp5 | hskp15) | hskp21) <=> (hskp21 | hskp15 | hskp5)),
% 1.00/0.91 inference(transitivity,[status(thm)],[73, 71])).
% 1.00/0.91 tff(75,axiom,((hskp5 | hskp15) | hskp21), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause30')).
% 1.00/0.91 tff(76,plain,
% 1.00/0.91 (hskp21 | hskp15 | hskp5),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[75, 74])).
% 1.00/0.91 tff(77,plain,
% 1.00/0.91 (hskp21 | hskp15 | hskp5),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[76, 70])).
% 1.00/0.91 tff(78,plain,
% 1.00/0.91 (hskp21 | hskp15 | hskp5),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[77, 70])).
% 1.00/0.91 tff(79,plain,
% 1.00/0.91 (hskp21 | hskp15 | hskp5),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[78, 70])).
% 1.00/0.91 tff(80,plain,
% 1.00/0.91 (hskp21 | hskp15 | hskp5),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[79, 70])).
% 1.00/0.91 tff(81,plain,
% 1.00/0.91 (hskp21 | hskp15 | hskp5),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[80, 70])).
% 1.00/0.91 tff(82,plain,
% 1.00/0.91 (hskp21 | hskp15 | hskp5),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[81, 70])).
% 1.00/0.91 tff(83,plain,
% 1.00/0.91 (hskp21 | hskp15 | hskp5),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[82, 70])).
% 1.00/0.91 tff(84,plain,
% 1.00/0.91 (hskp21),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[83, 69, 36])).
% 1.00/0.91 tff(85,plain,
% 1.00/0.91 (((~hskp21) | (~c1_1(a257))) <=> ((~hskp21) | (~c1_1(a257)))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(86,plain,
% 1.00/0.91 (((~c1_1(a257)) | (~hskp21)) <=> ((~hskp21) | (~c1_1(a257)))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(87,axiom,((~c1_1(a257)) | (~hskp21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause72')).
% 1.00/0.91 tff(88,plain,
% 1.00/0.91 ((~hskp21) | (~c1_1(a257))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[87, 86])).
% 1.00/0.91 tff(89,plain,
% 1.00/0.91 ((~hskp21) | (~c1_1(a257))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[88, 85])).
% 1.00/0.91 tff(90,plain,
% 1.00/0.91 (~c1_1(a257)),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[89, 84])).
% 1.00/0.91 tff(91,plain,
% 1.00/0.91 (((~hskp21) | (~c3_1(a257))) <=> ((~hskp21) | (~c3_1(a257)))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(92,plain,
% 1.00/0.91 (((~c3_1(a257)) | (~hskp21)) <=> ((~hskp21) | (~c3_1(a257)))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(93,axiom,((~c3_1(a257)) | (~hskp21)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause73')).
% 1.00/0.91 tff(94,plain,
% 1.00/0.91 ((~hskp21) | (~c3_1(a257))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[93, 92])).
% 1.00/0.91 tff(95,plain,
% 1.00/0.91 ((~hskp21) | (~c3_1(a257))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[94, 91])).
% 1.00/0.91 tff(96,plain,
% 1.00/0.91 (~c3_1(a257)),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[95, 84])).
% 1.00/0.91 tff(97,plain,
% 1.00/0.91 (((~hskp21) | c2_1(a257)) <=> ((~hskp21) | c2_1(a257))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(98,axiom,((~hskp21) | c2_1(a257)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause44')).
% 1.00/0.91 tff(99,plain,
% 1.00/0.91 ((~hskp21) | c2_1(a257)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[98, 97])).
% 1.00/0.91 tff(100,plain,
% 1.00/0.91 ((~hskp21) | c2_1(a257)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[99, 97])).
% 1.00/0.91 tff(101,plain,
% 1.00/0.91 ((~hskp21) | c2_1(a257)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[100, 97])).
% 1.00/0.91 tff(102,plain,
% 1.00/0.91 ((~hskp21) | c2_1(a257)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[101, 97])).
% 1.00/0.91 tff(103,plain,
% 1.00/0.91 ((~hskp21) | c2_1(a257)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[102, 97])).
% 1.00/0.91 tff(104,plain,
% 1.00/0.91 ((~hskp21) | c2_1(a257)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[103, 97])).
% 1.00/0.91 tff(105,plain,
% 1.00/0.91 ((~hskp21) | c2_1(a257)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[104, 97])).
% 1.00/0.91 tff(106,plain,
% 1.00/0.91 ((~hskp21) | c2_1(a257)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[105, 97])).
% 1.00/0.91 tff(107,plain,
% 1.00/0.91 (c2_1(a257)),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[106, 84])).
% 1.00/0.91 tff(108,assumption,(~hskp1), introduced(assumption)).
% 1.00/0.91 tff(109,plain,
% 1.00/0.91 (^[U: $i] : refl((hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U)) <=> (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U)))),
% 1.00/0.91 inference(bind,[status(th)],[])).
% 1.00/0.91 tff(110,plain,
% 1.00/0.91 (![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U)) <=> ![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))),
% 1.00/0.91 inference(quant_intro,[status(thm)],[109])).
% 1.00/0.91 tff(111,plain,
% 1.00/0.91 (![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U)) <=> ![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(112,plain,
% 1.00/0.91 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ndr1_0) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U))), ((((~ndr1_0) | c0_1(U)) | c1_1(U)) <=> (((~ndr1_0) | c0_1(U)) | c1_1(U)))), rewrite((((~ndr1_0) | c0_1(U)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U))), ((((~ndr1_0) | c0_1(U)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U)))), (((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c1_1(U) | c0_1(U)) | c3_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | c0_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))), (((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U)))), ((((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c3_1(U)) | hskp1) <=> (((~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U)) | hskp1))), rewrite((((~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U)) | hskp1) <=> (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))), ((((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c3_1(U)) | hskp1) <=> (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))))),
% 1.00/0.91 inference(bind,[status(th)],[])).
% 1.00/0.91 tff(113,plain,
% 1.00/0.91 (![U: $i] : (((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c3_1(U)) | hskp1) <=> ![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))),
% 1.00/0.91 inference(quant_intro,[status(thm)],[112])).
% 1.00/0.91 tff(114,axiom,(![U: $i] : (((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c3_1(U)) | hskp1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause112')).
% 1.00/0.91 tff(115,plain,
% 1.00/0.91 (![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[114, 113])).
% 1.00/0.91 tff(116,plain,
% 1.00/0.91 (![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[115, 111])).
% 1.00/0.91 tff(117,plain,(
% 1.00/0.91 ![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))),
% 1.00/0.91 inference(skolemize,[status(sab)],[116])).
% 1.00/0.91 tff(118,plain,
% 1.00/0.91 (![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[117, 110])).
% 1.00/0.91 tff(119,assumption,(~c3_1(a257)), introduced(assumption)).
% 1.00/0.91 tff(120,assumption,(~c1_1(a257)), introduced(assumption)).
% 1.00/0.91 tff(121,assumption,(~ndr1_0), introduced(assumption)).
% 1.00/0.91 tff(122,plain,
% 1.00/0.91 ((ndr1_0 | (~hskp2)) <=> (ndr1_0 | (~hskp2))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(123,plain,
% 1.00/0.91 (((~hskp2) | ndr1_0) <=> (ndr1_0 | (~hskp2))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(124,axiom,((~hskp2) | ndr1_0), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause24')).
% 1.00/0.91 tff(125,plain,
% 1.00/0.91 (ndr1_0 | (~hskp2)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[124, 123])).
% 1.00/0.91 tff(126,plain,
% 1.00/0.91 (ndr1_0 | (~hskp2)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[125, 122])).
% 1.00/0.91 tff(127,plain,
% 1.00/0.91 (~hskp2),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[126, 121])).
% 1.00/0.91 tff(128,plain,
% 1.00/0.91 (((~hskp25) | ndr1_0) <=> ((~hskp25) | ndr1_0)),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(129,axiom,((~hskp25) | ndr1_0), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause1')).
% 1.00/0.91 tff(130,plain,
% 1.00/0.91 ((~hskp25) | ndr1_0),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[129, 128])).
% 1.00/0.91 tff(131,plain,
% 1.00/0.91 ((~hskp25) | ndr1_0),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[130, 128])).
% 1.00/0.91 tff(132,plain,
% 1.00/0.91 ((~hskp25) | ndr1_0),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[131, 128])).
% 1.00/0.91 tff(133,plain,
% 1.00/0.91 ((~hskp25) | ndr1_0),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[132, 128])).
% 1.00/0.91 tff(134,plain,
% 1.00/0.91 ((~hskp25) | ndr1_0),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[133, 128])).
% 1.00/0.91 tff(135,plain,
% 1.00/0.91 ((~hskp25) | ndr1_0),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[134, 128])).
% 1.00/0.91 tff(136,plain,
% 1.00/0.91 ((~hskp25) | ndr1_0),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[135, 128])).
% 1.00/0.91 tff(137,plain,
% 1.00/0.91 ((~hskp25) | ndr1_0),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[136, 128])).
% 1.00/0.91 tff(138,plain,
% 1.00/0.91 (~hskp25),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[137, 121])).
% 1.00/0.91 tff(139,plain,
% 1.00/0.91 ((ndr1_0 | (~hskp15)) <=> (ndr1_0 | (~hskp15))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(140,plain,
% 1.00/0.91 (((~hskp15) | ndr1_0) <=> (ndr1_0 | (~hskp15))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(141,axiom,((~hskp15) | ndr1_0), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause11')).
% 1.00/0.91 tff(142,plain,
% 1.00/0.91 (ndr1_0 | (~hskp15)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[141, 140])).
% 1.00/0.91 tff(143,plain,
% 1.00/0.91 (ndr1_0 | (~hskp15)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[142, 139])).
% 1.00/0.91 tff(144,plain,
% 1.00/0.91 (~hskp15),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[143, 121])).
% 1.00/0.91 tff(145,plain,
% 1.00/0.91 ((hskp25 | hskp15 | hskp2) <=> (hskp25 | hskp15 | hskp2)),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(146,plain,
% 1.00/0.91 (((hskp25 | hskp15) | hskp2) <=> (hskp25 | hskp15 | hskp2)),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(147,plain,
% 1.00/0.91 ((hskp25 | hskp15) <=> (hskp25 | hskp15)),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(148,plain,
% 1.00/0.91 (((hskp25 | hskp15) | hskp2) <=> ((hskp25 | hskp15) | hskp2)),
% 1.00/0.91 inference(monotonicity,[status(thm)],[147])).
% 1.00/0.91 tff(149,plain,
% 1.00/0.91 (((hskp25 | hskp15) | hskp2) <=> (hskp25 | hskp15 | hskp2)),
% 1.00/0.91 inference(transitivity,[status(thm)],[148, 146])).
% 1.00/0.91 tff(150,axiom,((hskp25 | hskp15) | hskp2), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause27')).
% 1.00/0.91 tff(151,plain,
% 1.00/0.91 (hskp25 | hskp15 | hskp2),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[150, 149])).
% 1.00/0.91 tff(152,plain,
% 1.00/0.91 (hskp25 | hskp15 | hskp2),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[151, 145])).
% 1.00/0.91 tff(153,plain,
% 1.00/0.91 (hskp25 | hskp15 | hskp2),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[152, 145])).
% 1.00/0.91 tff(154,plain,
% 1.00/0.91 (hskp25 | hskp15 | hskp2),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[153, 145])).
% 1.00/0.91 tff(155,plain,
% 1.00/0.91 (hskp25 | hskp15 | hskp2),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[154, 145])).
% 1.00/0.91 tff(156,plain,
% 1.00/0.91 (hskp25 | hskp15 | hskp2),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[155, 145])).
% 1.00/0.91 tff(157,plain,
% 1.00/0.91 (hskp25 | hskp15 | hskp2),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[156, 145])).
% 1.00/0.91 tff(158,plain,
% 1.00/0.91 (hskp25 | hskp15 | hskp2),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[157, 145])).
% 1.00/0.91 tff(159,plain,
% 1.00/0.91 ($false),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[158, 144, 138, 127])).
% 1.00/0.91 tff(160,plain,(ndr1_0), inference(lemma,lemma(discharge,[]))).
% 1.00/0.91 tff(161,plain,
% 1.00/0.91 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | c1_1(a257) | c3_1(a257) | (~ndr1_0) | c0_1(a257))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c1_1(a257) | c3_1(a257) | (~ndr1_0) | c0_1(a257))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(162,plain,
% 1.00/0.91 ((hskp1 | (~ndr1_0) | c3_1(a257) | c1_1(a257) | c0_1(a257)) <=> (hskp1 | c1_1(a257) | c3_1(a257) | (~ndr1_0) | c0_1(a257))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(163,plain,
% 1.00/0.91 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a257) | c1_1(a257) | c0_1(a257))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | c1_1(a257) | c3_1(a257) | (~ndr1_0) | c0_1(a257)))),
% 1.00/0.91 inference(monotonicity,[status(thm)],[162])).
% 1.00/0.91 tff(164,plain,
% 1.00/0.91 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a257) | c1_1(a257) | c0_1(a257))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c1_1(a257) | c3_1(a257) | (~ndr1_0) | c0_1(a257))),
% 1.00/0.91 inference(transitivity,[status(thm)],[163, 161])).
% 1.00/0.91 tff(165,plain,
% 1.00/0.91 ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a257) | c1_1(a257) | c0_1(a257))),
% 1.00/0.91 inference(quant_inst,[status(thm)],[])).
% 1.00/0.91 tff(166,plain,
% 1.00/0.91 ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c1_1(a257) | c3_1(a257) | (~ndr1_0) | c0_1(a257)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[165, 164])).
% 1.00/0.91 tff(167,plain,
% 1.00/0.91 (hskp1 | c0_1(a257)),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[166, 160, 120, 119, 118])).
% 1.00/0.91 tff(168,plain,
% 1.00/0.91 (c0_1(a257)),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[167, 108])).
% 1.00/0.91 tff(169,plain,
% 1.00/0.91 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | c1_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c1_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(170,plain,
% 1.00/0.91 ((hskp1 | (~ndr1_0) | c3_1(a191) | c1_1(a191) | c0_1(a191)) <=> (hskp1 | c1_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(171,plain,
% 1.00/0.91 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a191) | c1_1(a191) | c0_1(a191))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | c1_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191)))),
% 1.00/0.91 inference(monotonicity,[status(thm)],[170])).
% 1.00/0.91 tff(172,plain,
% 1.00/0.91 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a191) | c1_1(a191) | c0_1(a191))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c1_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191))),
% 1.00/0.91 inference(transitivity,[status(thm)],[171, 169])).
% 1.00/0.91 tff(173,plain,
% 1.00/0.91 ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a191) | c1_1(a191) | c0_1(a191))),
% 1.00/0.91 inference(quant_inst,[status(thm)],[])).
% 1.00/0.91 tff(174,plain,
% 1.00/0.91 ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c1_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[173, 172])).
% 1.00/0.91 tff(175,plain,
% 1.00/0.91 (hskp1 | c0_1(a191)),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[174, 160, 67, 68, 118])).
% 1.00/0.91 tff(176,plain,
% 1.00/0.91 (c0_1(a191)),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[175, 108])).
% 1.00/0.91 tff(177,plain,
% 1.00/0.91 (^[V: $i, U: $i] : refl((hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) <=> (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))))),
% 1.00/0.91 inference(bind,[status(th)],[])).
% 1.00/0.91 tff(178,plain,
% 1.00/0.91 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.91 inference(quant_intro,[status(thm)],[177])).
% 1.00/0.91 tff(179,plain,
% 1.00/0.91 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(180,plain,
% 1.00/0.91 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V)) | hskp1) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) | hskp1))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) | hskp1) <=> (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V)) | hskp1) <=> (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))))),
% 1.00/0.91 inference(bind,[status(th)],[])).
% 1.00/0.91 tff(181,plain,
% 1.00/0.91 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V)) | hskp1) <=> ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.91 inference(quant_intro,[status(thm)],[180])).
% 1.00/0.91 tff(182,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V)) | hskp1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause140')).
% 1.00/0.91 tff(183,plain,
% 1.00/0.91 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[182, 181])).
% 1.00/0.91 tff(184,plain,
% 1.00/0.91 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[183, 179])).
% 1.00/0.91 tff(185,plain,(
% 1.00/0.91 ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.91 inference(skolemize,[status(sab)],[184])).
% 1.00/0.91 tff(186,plain,
% 1.00/0.91 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[185, 178])).
% 1.00/0.91 tff(187,assumption,(c2_1(a257)), introduced(assumption)).
% 1.00/0.91 tff(188,plain,
% 1.00/0.91 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp1 | c3_1(a257) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c0_1(a257)) | (~c2_1(a257)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp1 | c3_1(a257) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c0_1(a257)) | (~c2_1(a257)))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(189,plain,
% 1.00/0.91 ((hskp1 | (~ndr1_0) | c3_1(a257) | (~c2_1(a257)) | (~c0_1(a257)) | c1_1(a191) | c2_1(a191) | (~c0_1(a191))) <=> (hskp1 | c3_1(a257) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c0_1(a257)) | (~c2_1(a257)))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(190,plain,
% 1.00/0.91 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | c3_1(a257) | (~c2_1(a257)) | (~c0_1(a257)) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp1 | c3_1(a257) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c0_1(a257)) | (~c2_1(a257))))),
% 1.00/0.91 inference(monotonicity,[status(thm)],[189])).
% 1.00/0.91 tff(191,plain,
% 1.00/0.91 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | c3_1(a257) | (~c2_1(a257)) | (~c0_1(a257)) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp1 | c3_1(a257) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c0_1(a257)) | (~c2_1(a257)))),
% 1.00/0.91 inference(transitivity,[status(thm)],[190, 188])).
% 1.00/0.91 tff(192,plain,
% 1.00/0.91 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | c3_1(a257) | (~c2_1(a257)) | (~c0_1(a257)) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)))),
% 1.00/0.91 inference(quant_inst,[status(thm)],[])).
% 1.00/0.91 tff(193,plain,
% 1.00/0.91 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp1 | c3_1(a257) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c0_1(a257)) | (~c2_1(a257))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[192, 191])).
% 1.00/0.91 tff(194,plain,
% 1.00/0.91 (hskp1 | (~c0_1(a191)) | (~c0_1(a257))),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[193, 160, 187, 119, 67, 66, 186])).
% 1.00/0.91 tff(195,plain,
% 1.00/0.91 ($false),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[194, 176, 108, 168])).
% 1.00/0.91 tff(196,plain,(hskp1 | (~c2_1(a257)) | c3_1(a257) | c1_1(a191) | c2_1(a191) | c1_1(a257) | c3_1(a191)), inference(lemma,lemma(discharge,[]))).
% 1.00/0.91 tff(197,plain,
% 1.00/0.91 (hskp1),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[196, 107, 96, 67, 66, 90, 68])).
% 1.00/0.91 tff(198,plain,
% 1.00/0.91 (((~hskp1) | c2_1(a190)) <=> ((~hskp1) | c2_1(a190))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(199,axiom,((~hskp1) | c2_1(a190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause69')).
% 1.00/0.91 tff(200,plain,
% 1.00/0.91 ((~hskp1) | c2_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[199, 198])).
% 1.00/0.91 tff(201,plain,
% 1.00/0.91 ((~hskp1) | c2_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[200, 198])).
% 1.00/0.91 tff(202,plain,
% 1.00/0.91 ((~hskp1) | c2_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[201, 198])).
% 1.00/0.91 tff(203,plain,
% 1.00/0.91 ((~hskp1) | c2_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[202, 198])).
% 1.00/0.91 tff(204,plain,
% 1.00/0.91 ((~hskp1) | c2_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[203, 198])).
% 1.00/0.91 tff(205,plain,
% 1.00/0.91 ((~hskp1) | c2_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[204, 198])).
% 1.00/0.91 tff(206,plain,
% 1.00/0.91 ((~hskp1) | c2_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[205, 198])).
% 1.00/0.91 tff(207,plain,
% 1.00/0.91 ((~hskp1) | c2_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[206, 198])).
% 1.00/0.91 tff(208,plain,
% 1.00/0.91 (c2_1(a190)),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[207, 197])).
% 1.00/0.91 tff(209,plain,
% 1.00/0.91 (((~hskp1) | c0_1(a190)) <=> ((~hskp1) | c0_1(a190))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(210,axiom,((~hskp1) | c0_1(a190)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause68')).
% 1.00/0.91 tff(211,plain,
% 1.00/0.91 ((~hskp1) | c0_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[210, 209])).
% 1.00/0.91 tff(212,plain,
% 1.00/0.91 ((~hskp1) | c0_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[211, 209])).
% 1.00/0.91 tff(213,plain,
% 1.00/0.91 ((~hskp1) | c0_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[212, 209])).
% 1.00/0.91 tff(214,plain,
% 1.00/0.91 ((~hskp1) | c0_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[213, 209])).
% 1.00/0.91 tff(215,plain,
% 1.00/0.91 ((~hskp1) | c0_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[214, 209])).
% 1.00/0.91 tff(216,plain,
% 1.00/0.91 ((~hskp1) | c0_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[215, 209])).
% 1.00/0.91 tff(217,plain,
% 1.00/0.91 ((~hskp1) | c0_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[216, 209])).
% 1.00/0.91 tff(218,plain,
% 1.00/0.91 ((~hskp1) | c0_1(a190)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[217, 209])).
% 1.00/0.91 tff(219,plain,
% 1.00/0.91 (c0_1(a190)),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[218, 197])).
% 1.00/0.91 tff(220,plain,
% 1.00/0.91 (^[V: $i, U: $i] : refl((hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V))) <=> (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V))))),
% 1.00/0.91 inference(bind,[status(th)],[])).
% 1.00/0.91 tff(221,plain,
% 1.00/0.91 (![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))),
% 1.00/0.91 inference(quant_intro,[status(thm)],[220])).
% 1.00/0.91 tff(222,plain,
% 1.00/0.91 (![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(223,plain,
% 1.00/0.91 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c1_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V))) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c1_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c1_1(V)) | c3_1(V)) | hskp19) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V))) | hskp19))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V))) | hskp19) <=> (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c1_1(V)) | c3_1(V)) | hskp19) <=> (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))))),
% 1.00/0.91 inference(bind,[status(th)],[])).
% 1.00/0.91 tff(224,plain,
% 1.00/0.91 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c1_1(V)) | c3_1(V)) | hskp19) <=> ![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))),
% 1.00/0.91 inference(quant_intro,[status(thm)],[223])).
% 1.00/0.91 tff(225,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c1_1(V)) | c3_1(V)) | hskp19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause143')).
% 1.00/0.91 tff(226,plain,
% 1.00/0.91 (![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[225, 224])).
% 1.00/0.91 tff(227,plain,
% 1.00/0.91 (![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[226, 222])).
% 1.00/0.91 tff(228,plain,(
% 1.00/0.91 ![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))),
% 1.00/0.91 inference(skolemize,[status(sab)],[227])).
% 1.00/0.91 tff(229,plain,
% 1.00/0.91 (![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[228, 221])).
% 1.00/0.91 tff(230,plain,
% 1.00/0.91 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | c1_1(a257) | c3_1(a257) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a257)))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp19 | c1_1(a257) | c3_1(a257) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a257)))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(231,plain,
% 1.00/0.91 ((hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257))) <=> (hskp19 | c1_1(a257) | c3_1(a257) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a257)))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(232,plain,
% 1.00/0.91 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257)))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | c1_1(a257) | c3_1(a257) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a257))))),
% 1.00/0.91 inference(monotonicity,[status(thm)],[231])).
% 1.00/0.91 tff(233,plain,
% 1.00/0.91 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257)))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp19 | c1_1(a257) | c3_1(a257) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a257)))),
% 1.00/0.91 inference(transitivity,[status(thm)],[232, 230])).
% 1.00/0.91 tff(234,plain,
% 1.00/0.91 ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257)))),
% 1.00/0.91 inference(quant_inst,[status(thm)],[])).
% 1.00/0.91 tff(235,plain,
% 1.00/0.91 ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp19 | c1_1(a257) | c3_1(a257) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a257))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[234, 233])).
% 1.00/0.91 tff(236,plain,
% 1.00/0.91 (hskp19 | (~c2_1(a190)) | (~c0_1(a190))),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[235, 160, 107, 90, 96, 13, 229])).
% 1.00/0.91 tff(237,plain,
% 1.00/0.91 (hskp19),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[236, 219, 208])).
% 1.00/0.91 tff(238,plain,
% 1.00/0.91 (((~hskp19) | c3_1(a225)) <=> ((~hskp19) | c3_1(a225))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(239,axiom,((~hskp19) | c3_1(a225)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause47')).
% 1.00/0.91 tff(240,plain,
% 1.00/0.91 ((~hskp19) | c3_1(a225)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[239, 238])).
% 1.00/0.91 tff(241,plain,
% 1.00/0.91 ((~hskp19) | c3_1(a225)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[240, 238])).
% 1.00/0.91 tff(242,plain,
% 1.00/0.91 ((~hskp19) | c3_1(a225)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[241, 238])).
% 1.00/0.91 tff(243,plain,
% 1.00/0.91 ((~hskp19) | c3_1(a225)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[242, 238])).
% 1.00/0.91 tff(244,plain,
% 1.00/0.91 ((~hskp19) | c3_1(a225)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[243, 238])).
% 1.00/0.91 tff(245,plain,
% 1.00/0.91 ((~hskp19) | c3_1(a225)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[244, 238])).
% 1.00/0.91 tff(246,plain,
% 1.00/0.91 ((~hskp19) | c3_1(a225)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[245, 238])).
% 1.00/0.91 tff(247,plain,
% 1.00/0.91 ((~hskp19) | c3_1(a225)),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[246, 238])).
% 1.00/0.91 tff(248,plain,
% 1.00/0.91 (c3_1(a225)),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[247, 237])).
% 1.00/0.91 tff(249,plain,
% 1.00/0.91 (((~hskp19) | (~c0_1(a225))) <=> ((~hskp19) | (~c0_1(a225)))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(250,plain,
% 1.00/0.91 (((~c0_1(a225)) | (~hskp19)) <=> ((~hskp19) | (~c0_1(a225)))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(251,axiom,((~c0_1(a225)) | (~hskp19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause75')).
% 1.00/0.91 tff(252,plain,
% 1.00/0.91 ((~hskp19) | (~c0_1(a225))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[251, 250])).
% 1.00/0.91 tff(253,plain,
% 1.00/0.91 ((~hskp19) | (~c0_1(a225))),
% 1.00/0.91 inference(modus_ponens,[status(thm)],[252, 249])).
% 1.00/0.91 tff(254,plain,
% 1.00/0.91 (~c0_1(a225)),
% 1.00/0.91 inference(unit_resolution,[status(thm)],[253, 237])).
% 1.00/0.91 tff(255,assumption,(c3_1(a225)), introduced(assumption)).
% 1.00/0.91 tff(256,assumption,(~c0_1(a225)), introduced(assumption)).
% 1.00/0.91 tff(257,assumption,(~hskp13), introduced(assumption)).
% 1.00/0.91 tff(258,plain,
% 1.00/0.91 (^[V: $i, U: $i] : refl((hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) <=> (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)))),
% 1.00/0.91 inference(bind,[status(th)],[])).
% 1.00/0.91 tff(259,plain,
% 1.00/0.91 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.00/0.91 inference(quant_intro,[status(thm)],[258])).
% 1.00/0.91 tff(260,plain,
% 1.00/0.91 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.00/0.91 inference(rewrite,[status(thm)],[])).
% 1.00/0.91 tff(261,plain,
% 1.00/0.91 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ndr1_0) | (~c2_1(U))) | (~c3_1(U))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)))), (((((~ndr1_0) | (~c2_1(U))) | (~c3_1(U))) | c1_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U))) | c1_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | c1_1(V))), (((((~ndr1_0) | (~c2_1(U))) | (~c3_1(U))) | c1_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | c1_1(V)))), ((((((~ndr1_0) | (~c2_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | c1_1(V)) | c2_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | c1_1(V) | c2_1(V))), ((((((~ndr1_0) | (~c2_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | c1_1(V) | c2_1(V)))), (((((((~ndr1_0) | (~c2_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | c1_1(V) | c2_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | c1_1(V) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))), (((((((~ndr1_0) | (~c2_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)))), ((((((((~ndr1_0) | (~c2_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | c0_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))), ((((((((~ndr1_0) | (~c2_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)))), (((((((((~ndr1_0) | (~c2_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | hskp13) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | hskp13))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | hskp13) <=> (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))), (((((((((~ndr1_0) | (~c2_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | hskp13) <=> (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))))),
% 1.00/0.92 inference(bind,[status(th)],[])).
% 1.00/0.92 tff(262,plain,
% 1.00/0.92 (![V: $i, U: $i] : ((((((((~ndr1_0) | (~c2_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | hskp13) <=> ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.00/0.92 inference(quant_intro,[status(thm)],[261])).
% 1.00/0.92 tff(263,axiom,(![V: $i, U: $i] : ((((((((~ndr1_0) | (~c2_1(U))) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | hskp13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause135')).
% 1.00/0.92 tff(264,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[263, 262])).
% 1.00/0.92 tff(265,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[264, 260])).
% 1.00/0.92 tff(266,plain,(
% 1.00/0.92 ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.00/0.92 inference(skolemize,[status(sab)],[265])).
% 1.00/0.92 tff(267,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[266, 259])).
% 1.00/0.92 tff(268,plain,
% 1.00/0.92 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | c0_1(a225) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a225)) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c0_1(a225) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a225)) | (~c3_1(a225)))),
% 1.00/0.92 inference(rewrite,[status(thm)],[])).
% 1.00/0.92 tff(269,plain,
% 1.00/0.92 ((hskp13 | (~ndr1_0) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225)) | c3_1(a191) | c1_1(a191) | c2_1(a191)) <=> (hskp13 | c0_1(a225) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a225)) | (~c3_1(a225)))),
% 1.00/0.92 inference(rewrite,[status(thm)],[])).
% 1.00/0.92 tff(270,plain,
% 1.00/0.92 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225)) | c3_1(a191) | c1_1(a191) | c2_1(a191))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | c0_1(a225) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a225)) | (~c3_1(a225))))),
% 1.00/0.92 inference(monotonicity,[status(thm)],[269])).
% 1.00/0.92 tff(271,plain,
% 1.00/0.92 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225)) | c3_1(a191) | c1_1(a191) | c2_1(a191))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c0_1(a225) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a225)) | (~c3_1(a225)))),
% 1.00/0.92 inference(transitivity,[status(thm)],[270, 268])).
% 1.00/0.92 tff(272,plain,
% 1.00/0.92 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225)) | c3_1(a191) | c1_1(a191) | c2_1(a191))),
% 1.00/0.92 inference(quant_inst,[status(thm)],[])).
% 1.00/0.92 tff(273,plain,
% 1.00/0.92 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c0_1(a225) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a225)) | (~c3_1(a225))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[272, 271])).
% 1.00/0.92 tff(274,plain,
% 1.00/0.92 (hskp13 | (~c2_1(a225))),
% 1.00/0.92 inference(unit_resolution,[status(thm)],[273, 160, 255, 256, 67, 66, 68, 267])).
% 1.00/0.92 tff(275,plain,
% 1.00/0.92 (~c2_1(a225)),
% 1.00/0.92 inference(unit_resolution,[status(thm)],[274, 257])).
% 1.00/0.92 tff(276,plain,
% 1.00/0.92 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W)))),
% 1.00/0.92 inference(bind,[status(th)],[])).
% 1.00/0.92 tff(277,plain,
% 1.00/0.92 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.00/0.92 inference(quant_intro,[status(thm)],[276])).
% 1.00/0.92 tff(278,plain,
% 1.00/0.92 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.00/0.92 inference(rewrite,[status(thm)],[])).
% 1.00/0.92 tff(279,plain,
% 1.00/0.92 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | c1_1(V))), (((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | c1_1(V)) | c2_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | c1_1(V) | c2_1(V))), (((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | c1_1(V) | c2_1(V)))), ((((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | c1_1(V) | c2_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | c1_1(V) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))), ((((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)))), (((((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | c0_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))), (((((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)))), ((((((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | c2_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | c2_1(U)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))), ((((((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)))), (((((((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | c2_1(U)) | c0_1(W)) <=> (((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | c0_1(W)))), rewrite((((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c0_1(W))), (((((((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | c2_1(U)) | c0_1(W)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c0_1(W)))), ((((((((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | c2_1(U)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c0_1(W)) | c1_1(W)))), rewrite((((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c1_1(W) | c0_1(W))), ((((((((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | c2_1(U)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c1_1(W) | c0_1(W)))), (((((((((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | c2_1(U)) | c0_1(W)) | c1_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c1_1(W) | c0_1(W)) | c2_1(W)))), rewrite((((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c1_1(W) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))), (((((((((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | c2_1(U)) | c0_1(W)) | c1_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))))),
% 1.00/0.92 inference(bind,[status(th)],[])).
% 1.00/0.92 tff(280,plain,
% 1.00/0.92 (![W: $i, V: $i, U: $i] : ((((((((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | c2_1(U)) | c0_1(W)) | c1_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.00/0.92 inference(quant_intro,[status(thm)],[279])).
% 1.00/0.92 tff(281,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~ndr1_0) | (~c3_1(U))) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(U)) | c2_1(U)) | c0_1(W)) | c1_1(W)) | c2_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause151')).
% 1.00/0.92 tff(282,plain,
% 1.00/0.92 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[281, 280])).
% 1.00/0.92 tff(283,plain,
% 1.00/0.92 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[282, 278])).
% 1.00/0.92 tff(284,plain,(
% 1.00/0.92 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.00/0.92 inference(skolemize,[status(sab)],[283])).
% 1.00/0.92 tff(285,plain,
% 1.00/0.92 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[284, 277])).
% 1.00/0.92 tff(286,plain,
% 1.00/0.92 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a225) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191) | c2_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a225) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191) | c2_1(a225) | (~c3_1(a225)))),
% 1.00/0.92 inference(rewrite,[status(thm)],[])).
% 1.00/0.92 tff(287,plain,
% 1.00/0.92 (((~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c3_1(a225)) | c3_1(a191) | c1_1(a191) | c2_1(a191) | c2_1(a191) | c1_1(a191) | c0_1(a191)) <=> (c0_1(a225) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191) | c2_1(a225) | (~c3_1(a225)))),
% 1.00/0.92 inference(rewrite,[status(thm)],[])).
% 1.00/0.92 tff(288,plain,
% 1.00/0.92 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c3_1(a225)) | c3_1(a191) | c1_1(a191) | c2_1(a191) | c2_1(a191) | c1_1(a191) | c0_1(a191))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a225) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191) | c2_1(a225) | (~c3_1(a225))))),
% 1.00/0.92 inference(monotonicity,[status(thm)],[287])).
% 1.00/0.92 tff(289,plain,
% 1.00/0.92 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c3_1(a225)) | c3_1(a191) | c1_1(a191) | c2_1(a191) | c2_1(a191) | c1_1(a191) | c0_1(a191))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a225) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191) | c2_1(a225) | (~c3_1(a225)))),
% 1.00/0.92 inference(transitivity,[status(thm)],[288, 286])).
% 1.00/0.92 tff(290,plain,
% 1.00/0.92 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c3_1(a225)) | c3_1(a191) | c1_1(a191) | c2_1(a191) | c2_1(a191) | c1_1(a191) | c0_1(a191))),
% 1.00/0.92 inference(quant_inst,[status(thm)],[])).
% 1.00/0.92 tff(291,plain,
% 1.00/0.92 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a225) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191) | c2_1(a225) | (~c3_1(a225))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[290, 289])).
% 1.00/0.92 tff(292,plain,
% 1.00/0.92 (c0_1(a191) | c2_1(a225)),
% 1.00/0.92 inference(unit_resolution,[status(thm)],[291, 160, 255, 256, 67, 66, 68, 285])).
% 1.00/0.92 tff(293,plain,
% 1.00/0.92 (c0_1(a191)),
% 1.00/0.92 inference(unit_resolution,[status(thm)],[292, 275])).
% 1.00/0.92 tff(294,plain,
% 1.00/0.92 (^[V: $i, U: $i] : refl((hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V))) <=> (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V))))),
% 1.00/0.92 inference(bind,[status(th)],[])).
% 1.00/0.92 tff(295,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.92 inference(quant_intro,[status(thm)],[294])).
% 1.00/0.92 tff(296,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.92 inference(rewrite,[status(thm)],[])).
% 1.00/0.92 tff(297,plain,
% 1.00/0.92 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) <=> ((~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c3_1(U)) | (~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)))), rewrite((((~c3_1(U)) | (~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U))))), ((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V))) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c2_1(V) | (~c0_1(V))))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c2_1(V) | (~c0_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c2_1(V) | (~c0_1(V))) | c3_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V))))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(V)) | c3_1(V)) | hskp13) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V))) | hskp13))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V))) | hskp13) <=> (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(V)) | c3_1(V)) | hskp13) <=> (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))))),
% 1.00/0.92 inference(bind,[status(th)],[])).
% 1.00/0.92 tff(298,plain,
% 1.00/0.92 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(V)) | c3_1(V)) | hskp13) <=> ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.92 inference(quant_intro,[status(thm)],[297])).
% 1.00/0.92 tff(299,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(V)) | c3_1(V)) | hskp13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause149')).
% 1.00/0.92 tff(300,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[299, 298])).
% 1.00/0.92 tff(301,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[300, 296])).
% 1.00/0.92 tff(302,plain,(
% 1.00/0.92 ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.92 inference(skolemize,[status(sab)],[301])).
% 1.00/0.92 tff(303,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[302, 295])).
% 1.00/0.92 tff(304,plain,
% 1.00/0.92 (^[V: $i, U: $i] : refl((hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))) <=> (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))))),
% 1.00/0.92 inference(bind,[status(th)],[])).
% 1.00/0.92 tff(305,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.00/0.92 inference(quant_intro,[status(thm)],[304])).
% 1.00/0.92 tff(306,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.00/0.92 inference(rewrite,[status(thm)],[])).
% 1.00/0.92 tff(307,plain,
% 1.00/0.92 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c0_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c0_1(U)))), ((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c0_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c0_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)))), ((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c3_1(V))))), (((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c0_1(U)) | (~c3_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V)))), (((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V))))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | (~c3_1(V)))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | (~c3_1(V))))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | (~c3_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp10) <=> (((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))) | hskp10))), rewrite((((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))) | hskp10) <=> (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp10) <=> (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))))),
% 1.00/0.92 inference(bind,[status(th)],[])).
% 1.00/0.92 tff(308,plain,
% 1.00/0.92 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp10) <=> ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.00/0.92 inference(quant_intro,[status(thm)],[307])).
% 1.00/0.92 tff(309,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause132')).
% 1.00/0.92 tff(310,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[309, 308])).
% 1.00/0.92 tff(311,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[310, 306])).
% 1.00/0.92 tff(312,plain,(
% 1.00/0.92 ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.00/0.92 inference(skolemize,[status(sab)],[311])).
% 1.00/0.92 tff(313,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[312, 305])).
% 1.00/0.92 tff(314,plain,
% 1.00/0.92 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp10 | c0_1(a225) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | c2_1(a225) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp10 | c0_1(a225) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | c2_1(a225) | (~c3_1(a225)))),
% 1.00/0.92 inference(rewrite,[status(thm)],[])).
% 1.00/0.92 tff(315,plain,
% 1.00/0.92 ((hskp10 | (~ndr1_0) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a225) | c2_1(a225) | (~c3_1(a225))) <=> (hskp10 | c0_1(a225) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | c2_1(a225) | (~c3_1(a225)))),
% 1.00/0.92 inference(rewrite,[status(thm)],[])).
% 1.00/0.92 tff(316,plain,
% 1.00/0.92 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp10 | (~ndr1_0) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a225) | c2_1(a225) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp10 | c0_1(a225) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | c2_1(a225) | (~c3_1(a225))))),
% 1.00/0.92 inference(monotonicity,[status(thm)],[315])).
% 1.00/0.92 tff(317,plain,
% 1.00/0.92 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp10 | (~ndr1_0) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a225) | c2_1(a225) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp10 | c0_1(a225) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | c2_1(a225) | (~c3_1(a225)))),
% 1.00/0.92 inference(transitivity,[status(thm)],[316, 314])).
% 1.00/0.92 tff(318,plain,
% 1.00/0.92 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp10 | (~ndr1_0) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a225) | c2_1(a225) | (~c3_1(a225)))),
% 1.00/0.92 inference(quant_inst,[status(thm)],[])).
% 1.00/0.92 tff(319,plain,
% 1.00/0.92 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp10 | c0_1(a225) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | c2_1(a225) | (~c3_1(a225))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[318, 317])).
% 1.00/0.92 tff(320,plain,
% 1.00/0.92 (hskp10 | (~c0_1(a191)) | c2_1(a225)),
% 1.00/0.92 inference(unit_resolution,[status(thm)],[319, 160, 255, 256, 66, 68, 313])).
% 1.00/0.92 tff(321,plain,
% 1.00/0.92 (hskp10),
% 1.00/0.92 inference(unit_resolution,[status(thm)],[320, 293, 275])).
% 1.00/0.92 tff(322,plain,
% 1.00/0.92 (((~hskp10) | c0_1(a200)) <=> ((~hskp10) | c0_1(a200))),
% 1.00/0.92 inference(rewrite,[status(thm)],[])).
% 1.00/0.92 tff(323,axiom,((~hskp10) | c0_1(a200)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause57')).
% 1.00/0.92 tff(324,plain,
% 1.00/0.92 ((~hskp10) | c0_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[323, 322])).
% 1.00/0.92 tff(325,plain,
% 1.00/0.92 ((~hskp10) | c0_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[324, 322])).
% 1.00/0.92 tff(326,plain,
% 1.00/0.92 ((~hskp10) | c0_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[325, 322])).
% 1.00/0.92 tff(327,plain,
% 1.00/0.92 ((~hskp10) | c0_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[326, 322])).
% 1.00/0.92 tff(328,plain,
% 1.00/0.92 ((~hskp10) | c0_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[327, 322])).
% 1.00/0.92 tff(329,plain,
% 1.00/0.92 ((~hskp10) | c0_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[328, 322])).
% 1.00/0.92 tff(330,plain,
% 1.00/0.92 ((~hskp10) | c0_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[329, 322])).
% 1.00/0.92 tff(331,plain,
% 1.00/0.92 ((~hskp10) | c0_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[330, 322])).
% 1.00/0.92 tff(332,plain,
% 1.00/0.92 (c0_1(a200)),
% 1.00/0.92 inference(unit_resolution,[status(thm)],[331, 321])).
% 1.00/0.92 tff(333,plain,
% 1.00/0.92 (((~hskp10) | c3_1(a200)) <=> ((~hskp10) | c3_1(a200))),
% 1.00/0.92 inference(rewrite,[status(thm)],[])).
% 1.00/0.92 tff(334,axiom,((~hskp10) | c3_1(a200)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause58')).
% 1.00/0.92 tff(335,plain,
% 1.00/0.92 ((~hskp10) | c3_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[334, 333])).
% 1.00/0.92 tff(336,plain,
% 1.00/0.92 ((~hskp10) | c3_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[335, 333])).
% 1.00/0.92 tff(337,plain,
% 1.00/0.92 ((~hskp10) | c3_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[336, 333])).
% 1.00/0.92 tff(338,plain,
% 1.00/0.92 ((~hskp10) | c3_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[337, 333])).
% 1.00/0.92 tff(339,plain,
% 1.00/0.92 ((~hskp10) | c3_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[338, 333])).
% 1.00/0.92 tff(340,plain,
% 1.00/0.92 ((~hskp10) | c3_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[339, 333])).
% 1.00/0.92 tff(341,plain,
% 1.00/0.92 ((~hskp10) | c3_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[340, 333])).
% 1.00/0.92 tff(342,plain,
% 1.00/0.92 ((~hskp10) | c3_1(a200)),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[341, 333])).
% 1.00/0.92 tff(343,plain,
% 1.00/0.92 (c3_1(a200)),
% 1.00/0.92 inference(unit_resolution,[status(thm)],[342, 321])).
% 1.00/0.92 tff(344,plain,
% 1.00/0.92 (^[V: $i, U: $i] : refl((hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) <=> (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))))),
% 1.00/0.92 inference(bind,[status(th)],[])).
% 1.00/0.92 tff(345,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.92 inference(quant_intro,[status(thm)],[344])).
% 1.00/0.92 tff(346,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.92 inference(rewrite,[status(thm)],[])).
% 1.00/0.92 tff(347,plain,
% 1.00/0.92 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | hskp24) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) | hskp24))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) | hskp24) <=> (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | hskp24) <=> (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))))),
% 1.00/0.92 inference(bind,[status(th)],[])).
% 1.00/0.92 tff(348,plain,
% 1.00/0.92 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | hskp24) <=> ![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.92 inference(quant_intro,[status(thm)],[347])).
% 1.00/0.92 tff(349,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | hskp24)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause139')).
% 1.00/0.92 tff(350,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[349, 348])).
% 1.00/0.92 tff(351,plain,
% 1.00/0.92 (![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.00/0.92 inference(modus_ponens,[status(thm)],[350, 346])).
% 1.09/0.93 tff(352,plain,(
% 1.09/0.93 ![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.09/0.93 inference(skolemize,[status(sab)],[351])).
% 1.09/0.93 tff(353,plain,
% 1.09/0.93 (![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[352, 345])).
% 1.09/0.93 tff(354,assumption,(~c1_1(a200)), introduced(assumption)).
% 1.09/0.93 tff(355,plain,
% 1.09/0.93 (((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp24 | c1_1(a200) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c3_1(a200)) | (~c0_1(a200)))) <=> ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp24 | c1_1(a200) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c3_1(a200)) | (~c0_1(a200)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(356,plain,
% 1.09/0.93 ((hskp24 | (~ndr1_0) | c1_1(a200) | (~c3_1(a200)) | (~c0_1(a200)) | c1_1(a191) | c2_1(a191) | (~c0_1(a191))) <=> (hskp24 | c1_1(a200) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c3_1(a200)) | (~c0_1(a200)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(357,plain,
% 1.09/0.93 (((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp24 | (~ndr1_0) | c1_1(a200) | (~c3_1(a200)) | (~c0_1(a200)) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)))) <=> ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp24 | c1_1(a200) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c3_1(a200)) | (~c0_1(a200))))),
% 1.09/0.93 inference(monotonicity,[status(thm)],[356])).
% 1.09/0.93 tff(358,plain,
% 1.09/0.93 (((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp24 | (~ndr1_0) | c1_1(a200) | (~c3_1(a200)) | (~c0_1(a200)) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)))) <=> ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp24 | c1_1(a200) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c3_1(a200)) | (~c0_1(a200)))),
% 1.09/0.93 inference(transitivity,[status(thm)],[357, 355])).
% 1.09/0.93 tff(359,plain,
% 1.09/0.93 ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp24 | (~ndr1_0) | c1_1(a200) | (~c3_1(a200)) | (~c0_1(a200)) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)))),
% 1.09/0.93 inference(quant_inst,[status(thm)],[])).
% 1.09/0.93 tff(360,plain,
% 1.09/0.93 ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp24 | c1_1(a200) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c3_1(a200)) | (~c0_1(a200))),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[359, 358])).
% 1.09/0.93 tff(361,plain,
% 1.09/0.93 (hskp24 | (~c0_1(a191)) | (~c3_1(a200)) | (~c0_1(a200))),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[360, 160, 354, 67, 66, 353])).
% 1.09/0.93 tff(362,plain,
% 1.09/0.93 (hskp24),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[361, 343, 293, 332])).
% 1.09/0.93 tff(363,plain,
% 1.09/0.93 (((~hskp24) | c3_1(a215)) <=> ((~hskp24) | c3_1(a215))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(364,axiom,((~hskp24) | c3_1(a215)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause39')).
% 1.09/0.93 tff(365,plain,
% 1.09/0.93 ((~hskp24) | c3_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[364, 363])).
% 1.09/0.93 tff(366,plain,
% 1.09/0.93 ((~hskp24) | c3_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[365, 363])).
% 1.09/0.93 tff(367,plain,
% 1.09/0.93 ((~hskp24) | c3_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[366, 363])).
% 1.09/0.93 tff(368,plain,
% 1.09/0.93 ((~hskp24) | c3_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[367, 363])).
% 1.09/0.93 tff(369,plain,
% 1.09/0.93 ((~hskp24) | c3_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[368, 363])).
% 1.09/0.93 tff(370,plain,
% 1.09/0.93 ((~hskp24) | c3_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[369, 363])).
% 1.09/0.93 tff(371,plain,
% 1.09/0.93 ((~hskp24) | c3_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[370, 363])).
% 1.09/0.93 tff(372,plain,
% 1.09/0.93 ((~hskp24) | c3_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[371, 363])).
% 1.09/0.93 tff(373,plain,
% 1.09/0.93 (c3_1(a215)),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[372, 362])).
% 1.09/0.93 tff(374,plain,
% 1.09/0.93 (((~hskp24) | c2_1(a215)) <=> ((~hskp24) | c2_1(a215))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(375,axiom,((~hskp24) | c2_1(a215)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause38')).
% 1.09/0.93 tff(376,plain,
% 1.09/0.93 ((~hskp24) | c2_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[375, 374])).
% 1.09/0.93 tff(377,plain,
% 1.09/0.93 ((~hskp24) | c2_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[376, 374])).
% 1.09/0.93 tff(378,plain,
% 1.09/0.93 ((~hskp24) | c2_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[377, 374])).
% 1.09/0.93 tff(379,plain,
% 1.09/0.93 ((~hskp24) | c2_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[378, 374])).
% 1.09/0.93 tff(380,plain,
% 1.09/0.93 ((~hskp24) | c2_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[379, 374])).
% 1.09/0.93 tff(381,plain,
% 1.09/0.93 ((~hskp24) | c2_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[380, 374])).
% 1.09/0.93 tff(382,plain,
% 1.09/0.93 ((~hskp24) | c2_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[381, 374])).
% 1.09/0.93 tff(383,plain,
% 1.09/0.93 ((~hskp24) | c2_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[382, 374])).
% 1.09/0.93 tff(384,plain,
% 1.09/0.93 (c2_1(a215)),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[383, 362])).
% 1.09/0.93 tff(385,plain,
% 1.09/0.93 (((~hskp24) | c1_1(a215)) <=> ((~hskp24) | c1_1(a215))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(386,axiom,((~hskp24) | c1_1(a215)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause37')).
% 1.09/0.93 tff(387,plain,
% 1.09/0.93 ((~hskp24) | c1_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[386, 385])).
% 1.09/0.93 tff(388,plain,
% 1.09/0.93 ((~hskp24) | c1_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[387, 385])).
% 1.09/0.93 tff(389,plain,
% 1.09/0.93 ((~hskp24) | c1_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[388, 385])).
% 1.09/0.93 tff(390,plain,
% 1.09/0.93 ((~hskp24) | c1_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[389, 385])).
% 1.09/0.93 tff(391,plain,
% 1.09/0.93 ((~hskp24) | c1_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[390, 385])).
% 1.09/0.93 tff(392,plain,
% 1.09/0.93 ((~hskp24) | c1_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[391, 385])).
% 1.09/0.93 tff(393,plain,
% 1.09/0.93 ((~hskp24) | c1_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[392, 385])).
% 1.09/0.93 tff(394,plain,
% 1.09/0.93 ((~hskp24) | c1_1(a215)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[393, 385])).
% 1.09/0.93 tff(395,plain,
% 1.09/0.93 (c1_1(a215)),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[394, 362])).
% 1.09/0.93 tff(396,plain,
% 1.09/0.93 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp13 | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c1_1(a215)) | (~c2_1(a215)) | (~c3_1(a215)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | hskp13 | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c1_1(a215)) | (~c2_1(a215)) | (~c3_1(a215)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(397,plain,
% 1.09/0.93 ((hskp13 | (~ndr1_0) | (~c3_1(a215)) | (~c1_1(a215)) | (~c2_1(a215)) | c3_1(a191) | c2_1(a191) | (~c0_1(a191))) <=> (hskp13 | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c1_1(a215)) | (~c2_1(a215)) | (~c3_1(a215)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(398,plain,
% 1.09/0.93 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp13 | (~ndr1_0) | (~c3_1(a215)) | (~c1_1(a215)) | (~c2_1(a215)) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp13 | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c1_1(a215)) | (~c2_1(a215)) | (~c3_1(a215))))),
% 1.09/0.93 inference(monotonicity,[status(thm)],[397])).
% 1.09/0.93 tff(399,plain,
% 1.09/0.93 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp13 | (~ndr1_0) | (~c3_1(a215)) | (~c1_1(a215)) | (~c2_1(a215)) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | hskp13 | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c1_1(a215)) | (~c2_1(a215)) | (~c3_1(a215)))),
% 1.09/0.93 inference(transitivity,[status(thm)],[398, 396])).
% 1.09/0.93 tff(400,plain,
% 1.09/0.93 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp13 | (~ndr1_0) | (~c3_1(a215)) | (~c1_1(a215)) | (~c2_1(a215)) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)))),
% 1.09/0.93 inference(quant_inst,[status(thm)],[])).
% 1.09/0.93 tff(401,plain,
% 1.09/0.93 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)))) | hskp13 | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c1_1(a215)) | (~c2_1(a215)) | (~c3_1(a215))),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[400, 399])).
% 1.09/0.93 tff(402,plain,
% 1.09/0.93 ($false),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[401, 160, 257, 395, 384, 373, 66, 68, 303, 293])).
% 1.09/0.93 tff(403,plain,(hskp13 | c2_1(a191) | c3_1(a191) | c1_1(a200) | c1_1(a191) | (~c3_1(a225)) | c0_1(a225)), inference(lemma,lemma(discharge,[]))).
% 1.09/0.93 tff(404,plain,
% 1.09/0.93 (c1_1(a200)),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[403, 257, 68, 255, 67, 66, 256])).
% 1.09/0.93 tff(405,plain,
% 1.09/0.93 (((~hskp10) | (~c1_1(a200))) <=> ((~hskp10) | (~c1_1(a200)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(406,plain,
% 1.09/0.93 (((~c1_1(a200)) | (~hskp10)) <=> ((~hskp10) | (~c1_1(a200)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(407,axiom,((~c1_1(a200)) | (~hskp10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause92')).
% 1.09/0.93 tff(408,plain,
% 1.09/0.93 ((~hskp10) | (~c1_1(a200))),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[407, 406])).
% 1.09/0.93 tff(409,plain,
% 1.09/0.93 ((~hskp10) | (~c1_1(a200))),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[408, 405])).
% 1.09/0.93 tff(410,plain,
% 1.09/0.93 (~hskp10),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[409, 404])).
% 1.09/0.93 tff(411,assumption,(c0_1(a191)), introduced(assumption)).
% 1.09/0.93 tff(412,plain,
% 1.09/0.93 (hskp10 | c2_1(a225)),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[319, 160, 255, 256, 66, 68, 313, 411])).
% 1.09/0.93 tff(413,plain,
% 1.09/0.93 ($false),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[412, 410, 275])).
% 1.09/0.93 tff(414,plain,(hskp13 | (~c3_1(a225)) | c0_1(a225) | c2_1(a191) | c3_1(a191) | (~c0_1(a191)) | c1_1(a191)), inference(lemma,lemma(discharge,[]))).
% 1.09/0.93 tff(415,plain,
% 1.09/0.93 (~c0_1(a191)),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[414, 257, 256, 66, 68, 255, 67])).
% 1.09/0.93 tff(416,plain,
% 1.09/0.93 ($false),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[292, 275, 415])).
% 1.09/0.93 tff(417,plain,(hskp13 | (~c3_1(a225)) | c0_1(a225) | c1_1(a191) | c2_1(a191) | c3_1(a191)), inference(lemma,lemma(discharge,[]))).
% 1.09/0.93 tff(418,plain,
% 1.09/0.93 (hskp13),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[417, 254, 248, 67, 66, 68])).
% 1.09/0.93 tff(419,plain,
% 1.09/0.93 (((~hskp13) | (~c0_1(a209))) <=> ((~hskp13) | (~c0_1(a209)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(420,plain,
% 1.09/0.93 (((~c0_1(a209)) | (~hskp13)) <=> ((~hskp13) | (~c0_1(a209)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(421,axiom,((~c0_1(a209)) | (~hskp13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause86')).
% 1.09/0.93 tff(422,plain,
% 1.09/0.93 ((~hskp13) | (~c0_1(a209))),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[421, 420])).
% 1.09/0.93 tff(423,plain,
% 1.09/0.93 ((~hskp13) | (~c0_1(a209))),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[422, 419])).
% 1.09/0.93 tff(424,plain,
% 1.09/0.93 (~c0_1(a209)),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[423, 418])).
% 1.09/0.93 tff(425,plain,
% 1.09/0.93 (((~hskp13) | c3_1(a209)) <=> ((~hskp13) | c3_1(a209))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(426,axiom,((~hskp13) | c3_1(a209)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause55')).
% 1.09/0.93 tff(427,plain,
% 1.09/0.93 ((~hskp13) | c3_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[426, 425])).
% 1.09/0.93 tff(428,plain,
% 1.09/0.93 ((~hskp13) | c3_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[427, 425])).
% 1.09/0.93 tff(429,plain,
% 1.09/0.93 ((~hskp13) | c3_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[428, 425])).
% 1.09/0.93 tff(430,plain,
% 1.09/0.93 ((~hskp13) | c3_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[429, 425])).
% 1.09/0.93 tff(431,plain,
% 1.09/0.93 ((~hskp13) | c3_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[430, 425])).
% 1.09/0.93 tff(432,plain,
% 1.09/0.93 ((~hskp13) | c3_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[431, 425])).
% 1.09/0.93 tff(433,plain,
% 1.09/0.93 ((~hskp13) | c3_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[432, 425])).
% 1.09/0.93 tff(434,plain,
% 1.09/0.93 ((~hskp13) | c3_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[433, 425])).
% 1.09/0.93 tff(435,plain,
% 1.09/0.93 (c3_1(a209)),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[434, 418])).
% 1.09/0.93 tff(436,plain,
% 1.09/0.93 (((~hskp13) | c1_1(a209)) <=> ((~hskp13) | c1_1(a209))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(437,axiom,((~hskp13) | c1_1(a209)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause54')).
% 1.09/0.93 tff(438,plain,
% 1.09/0.93 ((~hskp13) | c1_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[437, 436])).
% 1.09/0.93 tff(439,plain,
% 1.09/0.93 ((~hskp13) | c1_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[438, 436])).
% 1.09/0.93 tff(440,plain,
% 1.09/0.93 ((~hskp13) | c1_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[439, 436])).
% 1.09/0.93 tff(441,plain,
% 1.09/0.93 ((~hskp13) | c1_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[440, 436])).
% 1.09/0.93 tff(442,plain,
% 1.09/0.93 ((~hskp13) | c1_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[441, 436])).
% 1.09/0.93 tff(443,plain,
% 1.09/0.93 ((~hskp13) | c1_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[442, 436])).
% 1.09/0.93 tff(444,plain,
% 1.09/0.93 ((~hskp13) | c1_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[443, 436])).
% 1.09/0.93 tff(445,plain,
% 1.09/0.93 ((~hskp13) | c1_1(a209)),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[444, 436])).
% 1.09/0.93 tff(446,plain,
% 1.09/0.93 (c1_1(a209)),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[445, 418])).
% 1.09/0.93 tff(447,plain,
% 1.09/0.93 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp10 | c0_1(a209) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c1_1(a209)) | (~c3_1(a209)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp10 | c0_1(a209) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(448,plain,
% 1.09/0.93 ((hskp10 | (~ndr1_0) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c3_1(a191) | c1_1(a191) | c2_1(a191)) <=> (hskp10 | c0_1(a209) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(449,plain,
% 1.09/0.93 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp10 | (~ndr1_0) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c3_1(a191) | c1_1(a191) | c2_1(a191))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp10 | c0_1(a209) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c1_1(a209)) | (~c3_1(a209))))),
% 1.09/0.93 inference(monotonicity,[status(thm)],[448])).
% 1.09/0.93 tff(450,plain,
% 1.09/0.93 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp10 | (~ndr1_0) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c3_1(a191) | c1_1(a191) | c2_1(a191))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp10 | c0_1(a209) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.09/0.93 inference(transitivity,[status(thm)],[449, 447])).
% 1.09/0.93 tff(451,plain,
% 1.09/0.93 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp10 | (~ndr1_0) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c3_1(a191) | c1_1(a191) | c2_1(a191))),
% 1.09/0.93 inference(quant_inst,[status(thm)],[])).
% 1.09/0.93 tff(452,plain,
% 1.09/0.93 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp10 | c0_1(a209) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c1_1(a209)) | (~c3_1(a209))),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[451, 450])).
% 1.09/0.93 tff(453,plain,
% 1.09/0.93 (hskp10),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[452, 160, 446, 435, 424, 67, 66, 68, 10])).
% 1.09/0.93 tff(454,plain,
% 1.09/0.93 (~c1_1(a200)),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[409, 453])).
% 1.09/0.93 tff(455,plain,
% 1.09/0.93 (((~hskp19) | (~c1_1(a225))) <=> ((~hskp19) | (~c1_1(a225)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(456,plain,
% 1.09/0.93 (((~c1_1(a225)) | (~hskp19)) <=> ((~hskp19) | (~c1_1(a225)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(457,axiom,((~c1_1(a225)) | (~hskp19)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause76')).
% 1.09/0.93 tff(458,plain,
% 1.09/0.93 ((~hskp19) | (~c1_1(a225))),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[457, 456])).
% 1.09/0.93 tff(459,plain,
% 1.09/0.93 ((~hskp19) | (~c1_1(a225))),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[458, 455])).
% 1.09/0.93 tff(460,plain,
% 1.09/0.93 (~c1_1(a225)),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[459, 237])).
% 1.09/0.93 tff(461,plain,
% 1.09/0.93 (c0_1(a200)),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[331, 453])).
% 1.09/0.93 tff(462,assumption,(~c2_1(a200)), introduced(assumption)).
% 1.09/0.93 tff(463,assumption,(~c0_1(a209)), introduced(assumption)).
% 1.09/0.93 tff(464,assumption,(c0_1(a200)), introduced(assumption)).
% 1.09/0.93 tff(465,assumption,(c3_1(a209)), introduced(assumption)).
% 1.09/0.93 tff(466,assumption,(c1_1(a209)), introduced(assumption)).
% 1.09/0.93 tff(467,plain,
% 1.09/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c1_1(a257) | c0_1(a209) | c1_1(a200) | (~ndr1_0) | c2_1(a200) | (~c0_1(a200)) | (~c1_1(a209)) | (~c3_1(a209)) | c0_1(a257) | (~c2_1(a257)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a257) | c0_1(a209) | c1_1(a200) | (~ndr1_0) | c2_1(a200) | (~c0_1(a200)) | (~c1_1(a209)) | (~c3_1(a209)) | c0_1(a257) | (~c2_1(a257)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(468,plain,
% 1.09/0.93 (((~ndr1_0) | c1_1(a200) | c2_1(a200) | (~c0_1(a200)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a257) | c0_1(a257) | (~c2_1(a257))) <=> (c1_1(a257) | c0_1(a209) | c1_1(a200) | (~ndr1_0) | c2_1(a200) | (~c0_1(a200)) | (~c1_1(a209)) | (~c3_1(a209)) | c0_1(a257) | (~c2_1(a257)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(469,plain,
% 1.09/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a200) | c2_1(a200) | (~c0_1(a200)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a257) | c0_1(a257) | (~c2_1(a257)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c1_1(a257) | c0_1(a209) | c1_1(a200) | (~ndr1_0) | c2_1(a200) | (~c0_1(a200)) | (~c1_1(a209)) | (~c3_1(a209)) | c0_1(a257) | (~c2_1(a257))))),
% 1.09/0.93 inference(monotonicity,[status(thm)],[468])).
% 1.09/0.93 tff(470,plain,
% 1.09/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a200) | c2_1(a200) | (~c0_1(a200)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a257) | c0_1(a257) | (~c2_1(a257)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a257) | c0_1(a209) | c1_1(a200) | (~ndr1_0) | c2_1(a200) | (~c0_1(a200)) | (~c1_1(a209)) | (~c3_1(a209)) | c0_1(a257) | (~c2_1(a257)))),
% 1.09/0.93 inference(transitivity,[status(thm)],[469, 467])).
% 1.09/0.93 tff(471,plain,
% 1.09/0.93 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a200) | c2_1(a200) | (~c0_1(a200)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a257) | c0_1(a257) | (~c2_1(a257)))),
% 1.09/0.93 inference(quant_inst,[status(thm)],[])).
% 1.09/0.93 tff(472,plain,
% 1.09/0.93 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a257) | c0_1(a209) | c1_1(a200) | (~ndr1_0) | c2_1(a200) | (~c0_1(a200)) | (~c1_1(a209)) | (~c3_1(a209)) | c0_1(a257) | (~c2_1(a257))),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[471, 470])).
% 1.09/0.93 tff(473,plain,
% 1.09/0.93 (c2_1(a200) | c0_1(a257)),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[472, 160, 187, 466, 465, 464, 120, 463, 354, 65])).
% 1.09/0.93 tff(474,plain,
% 1.09/0.93 (c0_1(a257)),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[473, 462])).
% 1.09/0.93 tff(475,assumption,(~c1_1(a225)), introduced(assumption)).
% 1.09/0.93 tff(476,plain,
% 1.09/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a225) | c1_1(a225) | c0_1(a209) | c1_1(a200) | (~ndr1_0) | c2_1(a200) | (~c0_1(a200)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | c1_1(a225) | c0_1(a209) | c1_1(a200) | (~ndr1_0) | c2_1(a200) | (~c0_1(a200)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a225)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(477,plain,
% 1.09/0.93 (((~ndr1_0) | c1_1(a200) | c2_1(a200) | (~c0_1(a200)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225))) <=> (c0_1(a225) | c1_1(a225) | c0_1(a209) | c1_1(a200) | (~ndr1_0) | c2_1(a200) | (~c0_1(a200)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a225)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(478,plain,
% 1.09/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a200) | c2_1(a200) | (~c0_1(a200)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a225) | c1_1(a225) | c0_1(a209) | c1_1(a200) | (~ndr1_0) | c2_1(a200) | (~c0_1(a200)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a225))))),
% 1.09/0.93 inference(monotonicity,[status(thm)],[477])).
% 1.09/0.93 tff(479,plain,
% 1.09/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a200) | c2_1(a200) | (~c0_1(a200)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | c1_1(a225) | c0_1(a209) | c1_1(a200) | (~ndr1_0) | c2_1(a200) | (~c0_1(a200)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a225)))),
% 1.09/0.93 inference(transitivity,[status(thm)],[478, 476])).
% 1.09/0.93 tff(480,plain,
% 1.09/0.93 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a200) | c2_1(a200) | (~c0_1(a200)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225)))),
% 1.09/0.93 inference(quant_inst,[status(thm)],[])).
% 1.09/0.93 tff(481,plain,
% 1.09/0.93 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | c1_1(a225) | c0_1(a209) | c1_1(a200) | (~ndr1_0) | c2_1(a200) | (~c0_1(a200)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a225))),
% 1.09/0.93 inference(modus_ponens,[status(thm)],[480, 479])).
% 1.09/0.93 tff(482,plain,
% 1.09/0.93 (c2_1(a200) | (~c2_1(a225))),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[481, 160, 466, 465, 464, 256, 475, 463, 354, 65])).
% 1.09/0.93 tff(483,plain,
% 1.09/0.93 (~c2_1(a225)),
% 1.09/0.93 inference(unit_resolution,[status(thm)],[482, 462])).
% 1.09/0.93 tff(484,plain,
% 1.09/0.93 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))))),
% 1.09/0.93 inference(bind,[status(th)],[])).
% 1.09/0.93 tff(485,plain,
% 1.09/0.93 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.09/0.93 inference(quant_intro,[status(thm)],[484])).
% 1.09/0.93 tff(486,plain,
% 1.09/0.93 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.09/0.93 inference(rewrite,[status(thm)],[])).
% 1.09/0.93 tff(487,plain,
% 1.09/0.93 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c3_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W))) | c1_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W))) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(W)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(W))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c3_1(U)) | c1_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(W))) | c3_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(W))) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | (~c3_1(W)))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c3_1(U)) | c1_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | (~c3_1(W))))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c3_1(U)) | c1_1(V)) | c3_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | (~c3_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | (~c3_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | (~c3_1(W)))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c3_1(U)) | c1_1(V)) | c3_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | (~c3_1(W))))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c3_1(U)) | c1_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c3_1(U)) | c1_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))))),
% 1.09/0.94 inference(bind,[status(th)],[])).
% 1.09/0.94 tff(488,plain,
% 1.09/0.94 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c3_1(U)) | c1_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.09/0.94 inference(quant_intro,[status(thm)],[487])).
% 1.09/0.94 tff(489,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c3_1(U)) | c1_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause156')).
% 1.09/0.94 tff(490,plain,
% 1.09/0.94 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[489, 488])).
% 1.09/0.94 tff(491,plain,
% 1.09/0.94 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[490, 486])).
% 1.09/0.94 tff(492,plain,(
% 1.09/0.94 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.09/0.94 inference(skolemize,[status(sab)],[491])).
% 1.09/0.94 tff(493,plain,
% 1.09/0.94 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[492, 485])).
% 1.09/0.94 tff(494,plain,
% 1.09/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c1_1(a257) | c3_1(a257) | c0_1(a225) | (~ndr1_0) | c2_1(a225) | (~c3_1(a225)) | (~c0_1(a257)) | (~c2_1(a257)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c1_1(a257) | c3_1(a257) | c0_1(a225) | (~ndr1_0) | c2_1(a225) | (~c3_1(a225)) | (~c0_1(a257)) | (~c2_1(a257)))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(495,plain,
% 1.09/0.94 (((~ndr1_0) | c3_1(a257) | (~c2_1(a257)) | (~c0_1(a257)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225))) <=> (c1_1(a257) | c3_1(a257) | c0_1(a225) | (~ndr1_0) | c2_1(a225) | (~c3_1(a225)) | (~c0_1(a257)) | (~c2_1(a257)))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(496,plain,
% 1.09/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a257) | (~c2_1(a257)) | (~c0_1(a257)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c1_1(a257) | c3_1(a257) | c0_1(a225) | (~ndr1_0) | c2_1(a225) | (~c3_1(a225)) | (~c0_1(a257)) | (~c2_1(a257))))),
% 1.09/0.94 inference(monotonicity,[status(thm)],[495])).
% 1.09/0.94 tff(497,plain,
% 1.09/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a257) | (~c2_1(a257)) | (~c0_1(a257)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c1_1(a257) | c3_1(a257) | c0_1(a225) | (~ndr1_0) | c2_1(a225) | (~c3_1(a225)) | (~c0_1(a257)) | (~c2_1(a257)))),
% 1.09/0.94 inference(transitivity,[status(thm)],[496, 494])).
% 1.09/0.94 tff(498,plain,
% 1.09/0.94 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a257) | (~c2_1(a257)) | (~c0_1(a257)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))),
% 1.09/0.94 inference(quant_inst,[status(thm)],[])).
% 1.09/0.94 tff(499,plain,
% 1.09/0.94 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c1_1(a257) | c3_1(a257) | c0_1(a225) | (~ndr1_0) | c2_1(a225) | (~c3_1(a225)) | (~c0_1(a257)) | (~c2_1(a257))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[498, 497])).
% 1.09/0.94 tff(500,plain,
% 1.09/0.94 ($false),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[499, 160, 187, 255, 120, 119, 256, 493, 483, 474])).
% 1.09/0.94 tff(501,plain,(c2_1(a200) | (~c2_1(a257)) | (~c3_1(a225)) | c1_1(a257) | c3_1(a257) | c0_1(a225) | (~c1_1(a209)) | (~c3_1(a209)) | (~c0_1(a200)) | c1_1(a225) | c0_1(a209) | c1_1(a200)), inference(lemma,lemma(discharge,[]))).
% 1.09/0.94 tff(502,plain,
% 1.09/0.94 (c2_1(a200)),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[501, 107, 248, 90, 96, 254, 446, 435, 461, 460, 424, 454])).
% 1.09/0.94 tff(503,plain,
% 1.09/0.94 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W))))),
% 1.09/0.94 inference(bind,[status(th)],[])).
% 1.09/0.94 tff(504,plain,
% 1.09/0.94 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))),
% 1.09/0.94 inference(quant_intro,[status(thm)],[503])).
% 1.09/0.94 tff(505,plain,
% 1.09/0.94 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(506,plain,
% 1.09/0.94 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) <=> ((~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(V))) | (~c0_1(W))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V))) | (~c0_1(W))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | (~c0_1(W)))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | (~c0_1(W))))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c1_1(W)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | (~c0_1(W))) | c1_1(W)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | (~c0_1(W))) | c1_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c1_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W))))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c1_1(W)) | c3_1(W)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W))) | c3_1(W)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W))) | c3_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c1_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))))),
% 1.09/0.94 inference(bind,[status(th)],[])).
% 1.09/0.94 tff(507,plain,
% 1.09/0.94 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c1_1(W)) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))),
% 1.09/0.94 inference(quant_intro,[status(thm)],[506])).
% 1.09/0.94 tff(508,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c1_1(W)) | c3_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause163')).
% 1.09/0.94 tff(509,plain,
% 1.09/0.94 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[508, 507])).
% 1.09/0.94 tff(510,plain,
% 1.09/0.94 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[509, 505])).
% 1.09/0.94 tff(511,plain,(
% 1.09/0.94 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))),
% 1.09/0.94 inference(skolemize,[status(sab)],[510])).
% 1.09/0.94 tff(512,plain,
% 1.09/0.94 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[511, 504])).
% 1.09/0.94 tff(513,plain,
% 1.09/0.94 (c3_1(a200)),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[342, 453])).
% 1.09/0.94 tff(514,plain,
% 1.09/0.94 (^[U: $i] : refl((hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) <=> (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))))),
% 1.09/0.94 inference(bind,[status(th)],[])).
% 1.09/0.94 tff(515,plain,
% 1.09/0.94 (![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))),
% 1.09/0.94 inference(quant_intro,[status(thm)],[514])).
% 1.09/0.94 tff(516,plain,
% 1.09/0.94 (![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(517,plain,
% 1.09/0.94 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) <=> ((~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp23) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) | hskp23))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) | hskp23) <=> (hskp23 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp23) <=> (hskp23 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp23) | hskp5) <=> ((hskp23 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) | hskp5))), rewrite(((hskp23 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) | hskp5) <=> (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp23) | hskp5) <=> (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))))),
% 1.09/0.94 inference(bind,[status(th)],[])).
% 1.09/0.94 tff(518,plain,
% 1.09/0.94 (![U: $i] : ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp23) | hskp5) <=> ![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))),
% 1.09/0.94 inference(quant_intro,[status(thm)],[517])).
% 1.09/0.94 tff(519,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp23) | hskp5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause127')).
% 1.09/0.94 tff(520,plain,
% 1.09/0.94 (![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[519, 518])).
% 1.09/0.94 tff(521,plain,
% 1.09/0.94 (![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[520, 516])).
% 1.09/0.94 tff(522,plain,(
% 1.09/0.94 ![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))),
% 1.09/0.94 inference(skolemize,[status(sab)],[521])).
% 1.09/0.94 tff(523,plain,
% 1.09/0.94 (![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[522, 515])).
% 1.09/0.94 tff(524,plain,
% 1.09/0.94 (((~![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))) | (hskp23 | hskp5 | (~ndr1_0) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)))) <=> ((~![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))) | hskp23 | hskp5 | (~ndr1_0) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(525,plain,
% 1.09/0.94 ((hskp23 | hskp5 | (~ndr1_0) | (~c3_1(a200)) | (~c2_1(a200)) | (~c0_1(a200))) <=> (hskp23 | hskp5 | (~ndr1_0) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(526,plain,
% 1.09/0.94 (((~![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))) | (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(a200)) | (~c2_1(a200)) | (~c0_1(a200)))) <=> ((~![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))) | (hskp23 | hskp5 | (~ndr1_0) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200))))),
% 1.09/0.94 inference(monotonicity,[status(thm)],[525])).
% 1.09/0.94 tff(527,plain,
% 1.09/0.94 (((~![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))) | (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(a200)) | (~c2_1(a200)) | (~c0_1(a200)))) <=> ((~![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))) | hskp23 | hskp5 | (~ndr1_0) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)))),
% 1.09/0.94 inference(transitivity,[status(thm)],[526, 524])).
% 1.09/0.94 tff(528,plain,
% 1.09/0.94 ((~![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))) | (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(a200)) | (~c2_1(a200)) | (~c0_1(a200)))),
% 1.09/0.94 inference(quant_inst,[status(thm)],[])).
% 1.09/0.94 tff(529,plain,
% 1.09/0.94 ((~![U: $i] : (hskp23 | hskp5 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))) | hskp23 | hskp5 | (~ndr1_0) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[528, 527])).
% 1.09/0.94 tff(530,plain,
% 1.09/0.94 (hskp23 | (~c2_1(a200))),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[529, 160, 69, 461, 513, 523])).
% 1.09/0.94 tff(531,plain,
% 1.09/0.94 (hskp23),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[530, 502])).
% 1.09/0.94 tff(532,plain,
% 1.09/0.94 (((~hskp23) | c3_1(a189)) <=> ((~hskp23) | c3_1(a189))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(533,axiom,((~hskp23) | c3_1(a189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause42')).
% 1.09/0.94 tff(534,plain,
% 1.09/0.94 ((~hskp23) | c3_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[533, 532])).
% 1.09/0.94 tff(535,plain,
% 1.09/0.94 ((~hskp23) | c3_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[534, 532])).
% 1.09/0.94 tff(536,plain,
% 1.09/0.94 ((~hskp23) | c3_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[535, 532])).
% 1.09/0.94 tff(537,plain,
% 1.09/0.94 ((~hskp23) | c3_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[536, 532])).
% 1.09/0.94 tff(538,plain,
% 1.09/0.94 ((~hskp23) | c3_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[537, 532])).
% 1.09/0.94 tff(539,plain,
% 1.09/0.94 ((~hskp23) | c3_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[538, 532])).
% 1.09/0.94 tff(540,plain,
% 1.09/0.94 ((~hskp23) | c3_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[539, 532])).
% 1.09/0.94 tff(541,plain,
% 1.09/0.94 ((~hskp23) | c3_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[540, 532])).
% 1.09/0.94 tff(542,plain,
% 1.09/0.94 (c3_1(a189)),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[541, 531])).
% 1.09/0.94 tff(543,plain,
% 1.09/0.94 (((~hskp23) | c1_1(a189)) <=> ((~hskp23) | c1_1(a189))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(544,axiom,((~hskp23) | c1_1(a189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause41')).
% 1.09/0.94 tff(545,plain,
% 1.09/0.94 ((~hskp23) | c1_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[544, 543])).
% 1.09/0.94 tff(546,plain,
% 1.09/0.94 ((~hskp23) | c1_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[545, 543])).
% 1.09/0.94 tff(547,plain,
% 1.09/0.94 ((~hskp23) | c1_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[546, 543])).
% 1.09/0.94 tff(548,plain,
% 1.09/0.94 ((~hskp23) | c1_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[547, 543])).
% 1.09/0.94 tff(549,plain,
% 1.09/0.94 ((~hskp23) | c1_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[548, 543])).
% 1.09/0.94 tff(550,plain,
% 1.09/0.94 ((~hskp23) | c1_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[549, 543])).
% 1.09/0.94 tff(551,plain,
% 1.09/0.94 ((~hskp23) | c1_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[550, 543])).
% 1.09/0.94 tff(552,plain,
% 1.09/0.94 ((~hskp23) | c1_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[551, 543])).
% 1.09/0.94 tff(553,plain,
% 1.09/0.94 (c1_1(a189)),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[552, 531])).
% 1.09/0.94 tff(554,plain,
% 1.09/0.94 (((~hskp23) | c0_1(a189)) <=> ((~hskp23) | c0_1(a189))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(555,axiom,((~hskp23) | c0_1(a189)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause40')).
% 1.09/0.94 tff(556,plain,
% 1.09/0.94 ((~hskp23) | c0_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[555, 554])).
% 1.09/0.94 tff(557,plain,
% 1.09/0.94 ((~hskp23) | c0_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[556, 554])).
% 1.09/0.94 tff(558,plain,
% 1.09/0.94 ((~hskp23) | c0_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[557, 554])).
% 1.09/0.94 tff(559,plain,
% 1.09/0.94 ((~hskp23) | c0_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[558, 554])).
% 1.09/0.94 tff(560,plain,
% 1.09/0.94 ((~hskp23) | c0_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[559, 554])).
% 1.09/0.94 tff(561,plain,
% 1.09/0.94 ((~hskp23) | c0_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[560, 554])).
% 1.09/0.94 tff(562,plain,
% 1.09/0.94 ((~hskp23) | c0_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[561, 554])).
% 1.09/0.94 tff(563,plain,
% 1.09/0.94 ((~hskp23) | c0_1(a189)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[562, 554])).
% 1.09/0.94 tff(564,plain,
% 1.09/0.94 (c0_1(a189)),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[563, 531])).
% 1.09/0.94 tff(565,plain,
% 1.09/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c1_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c0_1(a189)) | (~c1_1(a189)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c1_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c0_1(a189)) | (~c1_1(a189)))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(566,plain,
% 1.09/0.94 (((~ndr1_0) | (~c3_1(a200)) | (~c2_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c1_1(a189)) | (~c0_1(a189)) | c1_1(a191) | c3_1(a191) | (~c0_1(a191))) <=> (c1_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c0_1(a189)) | (~c1_1(a189)))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(567,plain,
% 1.09/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a200)) | (~c2_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c1_1(a189)) | (~c0_1(a189)) | c1_1(a191) | c3_1(a191) | (~c0_1(a191)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c1_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c0_1(a189)) | (~c1_1(a189))))),
% 1.09/0.94 inference(monotonicity,[status(thm)],[566])).
% 1.09/0.94 tff(568,plain,
% 1.09/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a200)) | (~c2_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c1_1(a189)) | (~c0_1(a189)) | c1_1(a191) | c3_1(a191) | (~c0_1(a191)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c1_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c0_1(a189)) | (~c1_1(a189)))),
% 1.09/0.94 inference(transitivity,[status(thm)],[567, 565])).
% 1.09/0.94 tff(569,plain,
% 1.09/0.94 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a200)) | (~c2_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c1_1(a189)) | (~c0_1(a189)) | c1_1(a191) | c3_1(a191) | (~c0_1(a191)))),
% 1.09/0.94 inference(quant_inst,[status(thm)],[])).
% 1.09/0.94 tff(570,plain,
% 1.09/0.94 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c1_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c0_1(a189)) | (~c1_1(a189))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[569, 568])).
% 1.09/0.94 tff(571,plain,
% 1.09/0.94 (~c0_1(a191)),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[570, 160, 564, 553, 542, 461, 513, 67, 68, 512, 502])).
% 1.09/0.94 tff(572,plain,
% 1.09/0.94 (^[U: $i] : refl((hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U)) <=> (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U)))),
% 1.09/0.94 inference(bind,[status(th)],[])).
% 1.09/0.94 tff(573,plain,
% 1.09/0.94 (![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U)) <=> ![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))),
% 1.09/0.94 inference(quant_intro,[status(thm)],[572])).
% 1.09/0.94 tff(574,plain,
% 1.09/0.94 (![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U)) <=> ![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(575,plain,
% 1.09/0.94 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ndr1_0) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U))), ((((~ndr1_0) | c0_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c0_1(U)) | c2_1(U)))), rewrite((((~ndr1_0) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U))), ((((~ndr1_0) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U)))), (((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c0_1(U) | c2_1(U)) | c3_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))), (((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U)))), ((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | hskp6) <=> (((~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U)) | hskp6))), rewrite((((~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U)) | hskp6) <=> (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))), ((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | hskp6) <=> (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))))),
% 1.09/0.94 inference(bind,[status(th)],[])).
% 1.09/0.94 tff(576,plain,
% 1.09/0.94 (![U: $i] : (((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | hskp6) <=> ![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))),
% 1.09/0.94 inference(quant_intro,[status(thm)],[575])).
% 1.09/0.94 tff(577,axiom,(![U: $i] : (((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | hskp6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause113')).
% 1.09/0.94 tff(578,plain,
% 1.09/0.94 (![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[577, 576])).
% 1.09/0.94 tff(579,plain,
% 1.09/0.94 (![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[578, 574])).
% 1.09/0.94 tff(580,plain,(
% 1.09/0.94 ![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))),
% 1.09/0.94 inference(skolemize,[status(sab)],[579])).
% 1.09/0.94 tff(581,plain,
% 1.09/0.94 (![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[580, 573])).
% 1.09/0.94 tff(582,plain,
% 1.09/0.94 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(583,plain,
% 1.09/0.94 ((hskp6 | (~ndr1_0) | c3_1(a191) | c0_1(a191) | c2_1(a191)) <=> (hskp6 | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(584,plain,
% 1.09/0.94 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a191) | c0_1(a191) | c2_1(a191))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191)))),
% 1.09/0.94 inference(monotonicity,[status(thm)],[583])).
% 1.09/0.94 tff(585,plain,
% 1.09/0.94 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a191) | c0_1(a191) | c2_1(a191))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191))),
% 1.09/0.94 inference(transitivity,[status(thm)],[584, 582])).
% 1.09/0.94 tff(586,plain,
% 1.09/0.94 ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a191) | c0_1(a191) | c2_1(a191))),
% 1.09/0.94 inference(quant_inst,[status(thm)],[])).
% 1.09/0.94 tff(587,plain,
% 1.09/0.94 ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c0_1(a191)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[586, 585])).
% 1.09/0.94 tff(588,plain,
% 1.09/0.94 (hskp6 | c0_1(a191)),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[587, 160, 66, 68, 581])).
% 1.09/0.94 tff(589,plain,
% 1.09/0.94 (hskp6),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[588, 571])).
% 1.09/0.94 tff(590,plain,
% 1.09/0.94 (((~hskp6) | (~c3_1(a195))) <=> ((~hskp6) | (~c3_1(a195)))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(591,plain,
% 1.09/0.94 (((~c3_1(a195)) | (~hskp6)) <=> ((~hskp6) | (~c3_1(a195)))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(592,axiom,((~c3_1(a195)) | (~hskp6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause99')).
% 1.09/0.94 tff(593,plain,
% 1.09/0.94 ((~hskp6) | (~c3_1(a195))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[592, 591])).
% 1.09/0.94 tff(594,plain,
% 1.09/0.94 ((~hskp6) | (~c3_1(a195))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[593, 590])).
% 1.09/0.94 tff(595,plain,
% 1.09/0.94 (~c3_1(a195)),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[594, 589])).
% 1.09/0.94 tff(596,plain,
% 1.09/0.94 (((~hskp6) | c0_1(a195)) <=> ((~hskp6) | c0_1(a195))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(597,axiom,((~hskp6) | c0_1(a195)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause63')).
% 1.09/0.94 tff(598,plain,
% 1.09/0.94 ((~hskp6) | c0_1(a195)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[597, 596])).
% 1.09/0.94 tff(599,plain,
% 1.09/0.94 ((~hskp6) | c0_1(a195)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[598, 596])).
% 1.09/0.94 tff(600,plain,
% 1.09/0.94 ((~hskp6) | c0_1(a195)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[599, 596])).
% 1.09/0.94 tff(601,plain,
% 1.09/0.94 ((~hskp6) | c0_1(a195)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[600, 596])).
% 1.09/0.94 tff(602,plain,
% 1.09/0.94 ((~hskp6) | c0_1(a195)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[601, 596])).
% 1.09/0.94 tff(603,plain,
% 1.09/0.94 ((~hskp6) | c0_1(a195)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[602, 596])).
% 1.09/0.94 tff(604,plain,
% 1.09/0.94 ((~hskp6) | c0_1(a195)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[603, 596])).
% 1.09/0.94 tff(605,plain,
% 1.09/0.94 ((~hskp6) | c0_1(a195)),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[604, 596])).
% 1.09/0.94 tff(606,plain,
% 1.09/0.94 (c0_1(a195)),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[605, 589])).
% 1.09/0.94 tff(607,plain,
% 1.09/0.94 (((~hskp6) | (~c1_1(a195))) <=> ((~hskp6) | (~c1_1(a195)))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(608,plain,
% 1.09/0.94 (((~c1_1(a195)) | (~hskp6)) <=> ((~hskp6) | (~c1_1(a195)))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(609,axiom,((~c1_1(a195)) | (~hskp6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause98')).
% 1.09/0.94 tff(610,plain,
% 1.09/0.94 ((~hskp6) | (~c1_1(a195))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[609, 608])).
% 1.09/0.94 tff(611,plain,
% 1.09/0.94 ((~hskp6) | (~c1_1(a195))),
% 1.09/0.94 inference(modus_ponens,[status(thm)],[610, 607])).
% 1.09/0.94 tff(612,plain,
% 1.09/0.94 (~c1_1(a195)),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[611, 589])).
% 1.09/0.94 tff(613,assumption,(c2_1(a200)), introduced(assumption)).
% 1.09/0.94 tff(614,assumption,(~c3_1(a195)), introduced(assumption)).
% 1.09/0.94 tff(615,assumption,(~c1_1(a195)), introduced(assumption)).
% 1.09/0.94 tff(616,assumption,(c0_1(a195)), introduced(assumption)).
% 1.09/0.94 tff(617,assumption,(c3_1(a200)), introduced(assumption)).
% 1.09/0.94 tff(618,plain,
% 1.09/0.94 (hskp23 | (~c2_1(a200))),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[529, 160, 69, 464, 617, 523])).
% 1.09/0.94 tff(619,plain,
% 1.09/0.94 (hskp23),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[618, 613])).
% 1.09/0.94 tff(620,plain,
% 1.09/0.94 (c3_1(a189)),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[541, 619])).
% 1.09/0.94 tff(621,plain,
% 1.09/0.94 (c1_1(a189)),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[552, 619])).
% 1.09/0.94 tff(622,plain,
% 1.09/0.94 (c0_1(a189)),
% 1.09/0.94 inference(unit_resolution,[status(thm)],[563, 619])).
% 1.09/0.94 tff(623,plain,
% 1.09/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c0_1(a195)) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c0_1(a189)) | (~c1_1(a189)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c0_1(a195)) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c0_1(a189)) | (~c1_1(a189)))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.94 tff(624,plain,
% 1.09/0.94 (((~ndr1_0) | (~c3_1(a200)) | (~c2_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c1_1(a189)) | (~c0_1(a189)) | c1_1(a195) | c3_1(a195) | (~c0_1(a195))) <=> (c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c0_1(a195)) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c0_1(a189)) | (~c1_1(a189)))),
% 1.09/0.94 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(625,plain,
% 1.09/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a200)) | (~c2_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c1_1(a189)) | (~c0_1(a189)) | c1_1(a195) | c3_1(a195) | (~c0_1(a195)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c0_1(a195)) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c0_1(a189)) | (~c1_1(a189))))),
% 1.09/0.95 inference(monotonicity,[status(thm)],[624])).
% 1.09/0.95 tff(626,plain,
% 1.09/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a200)) | (~c2_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c1_1(a189)) | (~c0_1(a189)) | c1_1(a195) | c3_1(a195) | (~c0_1(a195)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c0_1(a195)) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c0_1(a189)) | (~c1_1(a189)))),
% 1.09/0.95 inference(transitivity,[status(thm)],[625, 623])).
% 1.09/0.95 tff(627,plain,
% 1.09/0.95 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a200)) | (~c2_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c1_1(a189)) | (~c0_1(a189)) | c1_1(a195) | c3_1(a195) | (~c0_1(a195)))),
% 1.09/0.95 inference(quant_inst,[status(thm)],[])).
% 1.09/0.95 tff(628,plain,
% 1.09/0.95 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c0_1(a195)) | (~c2_1(a200)) | (~c3_1(a200)) | (~c0_1(a200)) | (~c3_1(a189)) | (~c0_1(a189)) | (~c1_1(a189))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[627, 626])).
% 1.09/0.95 tff(629,plain,
% 1.09/0.95 ($false),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[628, 160, 622, 621, 620, 464, 617, 616, 615, 614, 512, 613])).
% 1.09/0.95 tff(630,plain,((~c2_1(a200)) | (~c0_1(a200)) | (~c3_1(a200)) | (~c0_1(a195)) | c1_1(a195) | c3_1(a195) | hskp5), inference(lemma,lemma(discharge,[]))).
% 1.09/0.95 tff(631,plain,
% 1.09/0.95 ($false),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[630, 612, 606, 513, 461, 502, 595, 69])).
% 1.09/0.95 tff(632,plain,(hskp5 | c2_1(a191) | c3_1(a191) | c1_1(a191) | c3_1(a190) | hskp15), inference(lemma,lemma(discharge,[]))).
% 1.09/0.95 tff(633,plain,
% 1.09/0.95 (hskp5),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[632, 13, 68, 67, 66, 36])).
% 1.09/0.95 tff(634,plain,
% 1.09/0.95 (((~hskp5) | (~c2_1(a194))) <=> ((~hskp5) | (~c2_1(a194)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(635,plain,
% 1.09/0.95 (((~c2_1(a194)) | (~hskp5)) <=> ((~hskp5) | (~c2_1(a194)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(636,axiom,((~c2_1(a194)) | (~hskp5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause101')).
% 1.09/0.95 tff(637,plain,
% 1.09/0.95 ((~hskp5) | (~c2_1(a194))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[636, 635])).
% 1.09/0.95 tff(638,plain,
% 1.09/0.95 ((~hskp5) | (~c2_1(a194))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[637, 634])).
% 1.09/0.95 tff(639,plain,
% 1.09/0.95 (~c2_1(a194)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[638, 633])).
% 1.09/0.95 tff(640,plain,
% 1.09/0.95 (((~hskp5) | (~c1_1(a194))) <=> ((~hskp5) | (~c1_1(a194)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(641,plain,
% 1.09/0.95 (((~c1_1(a194)) | (~hskp5)) <=> ((~hskp5) | (~c1_1(a194)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(642,axiom,((~c1_1(a194)) | (~hskp5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause100')).
% 1.09/0.95 tff(643,plain,
% 1.09/0.95 ((~hskp5) | (~c1_1(a194))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[642, 641])).
% 1.09/0.95 tff(644,plain,
% 1.09/0.95 ((~hskp5) | (~c1_1(a194))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[643, 640])).
% 1.09/0.95 tff(645,plain,
% 1.09/0.95 (~c1_1(a194)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[644, 633])).
% 1.09/0.95 tff(646,plain,
% 1.09/0.95 (((~hskp5) | c0_1(a194)) <=> ((~hskp5) | c0_1(a194))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(647,axiom,((~hskp5) | c0_1(a194)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause64')).
% 1.09/0.95 tff(648,plain,
% 1.09/0.95 ((~hskp5) | c0_1(a194)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[647, 646])).
% 1.09/0.95 tff(649,plain,
% 1.09/0.95 ((~hskp5) | c0_1(a194)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[648, 646])).
% 1.09/0.95 tff(650,plain,
% 1.09/0.95 ((~hskp5) | c0_1(a194)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[649, 646])).
% 1.09/0.95 tff(651,plain,
% 1.09/0.95 ((~hskp5) | c0_1(a194)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[650, 646])).
% 1.09/0.95 tff(652,plain,
% 1.09/0.95 ((~hskp5) | c0_1(a194)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[651, 646])).
% 1.09/0.95 tff(653,plain,
% 1.09/0.95 ((~hskp5) | c0_1(a194)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[652, 646])).
% 1.09/0.95 tff(654,plain,
% 1.09/0.95 ((~hskp5) | c0_1(a194)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[653, 646])).
% 1.09/0.95 tff(655,plain,
% 1.09/0.95 ((~hskp5) | c0_1(a194)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[654, 646])).
% 1.09/0.95 tff(656,plain,
% 1.09/0.95 (c0_1(a194)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[655, 633])).
% 1.09/0.95 tff(657,assumption,(hskp0), introduced(assumption)).
% 1.09/0.95 tff(658,plain,
% 1.09/0.95 (((~hskp0) | (~c3_1(a188))) <=> ((~hskp0) | (~c3_1(a188)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(659,plain,
% 1.09/0.95 (((~c3_1(a188)) | (~hskp0)) <=> ((~hskp0) | (~c3_1(a188)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(660,axiom,((~c3_1(a188)) | (~hskp0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause111')).
% 1.09/0.95 tff(661,plain,
% 1.09/0.95 ((~hskp0) | (~c3_1(a188))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[660, 659])).
% 1.09/0.95 tff(662,plain,
% 1.09/0.95 ((~hskp0) | (~c3_1(a188))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[661, 658])).
% 1.09/0.95 tff(663,plain,
% 1.09/0.95 (~c3_1(a188)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[662, 657])).
% 1.09/0.95 tff(664,plain,
% 1.09/0.95 (((~hskp0) | (~c1_1(a188))) <=> ((~hskp0) | (~c1_1(a188)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(665,plain,
% 1.09/0.95 (((~c1_1(a188)) | (~hskp0)) <=> ((~hskp0) | (~c1_1(a188)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(666,axiom,((~c1_1(a188)) | (~hskp0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause110')).
% 1.09/0.95 tff(667,plain,
% 1.09/0.95 ((~hskp0) | (~c1_1(a188))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[666, 665])).
% 1.09/0.95 tff(668,plain,
% 1.09/0.95 ((~hskp0) | (~c1_1(a188))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[667, 664])).
% 1.09/0.95 tff(669,plain,
% 1.09/0.95 (~c1_1(a188)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[668, 657])).
% 1.09/0.95 tff(670,plain,
% 1.09/0.95 (((~hskp0) | (~c0_1(a188))) <=> ((~hskp0) | (~c0_1(a188)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(671,plain,
% 1.09/0.95 (((~c0_1(a188)) | (~hskp0)) <=> ((~hskp0) | (~c0_1(a188)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(672,axiom,((~c0_1(a188)) | (~hskp0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause109')).
% 1.09/0.95 tff(673,plain,
% 1.09/0.95 ((~hskp0) | (~c0_1(a188))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[672, 671])).
% 1.09/0.95 tff(674,plain,
% 1.09/0.95 ((~hskp0) | (~c0_1(a188))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[673, 670])).
% 1.09/0.95 tff(675,plain,
% 1.09/0.95 (~c0_1(a188)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[674, 657])).
% 1.09/0.95 tff(676,plain,
% 1.09/0.95 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | c0_1(a188) | c1_1(a188) | c3_1(a188) | (~ndr1_0))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c0_1(a188) | c1_1(a188) | c3_1(a188) | (~ndr1_0))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(677,plain,
% 1.09/0.95 ((hskp1 | (~ndr1_0) | c3_1(a188) | c1_1(a188) | c0_1(a188)) <=> (hskp1 | c0_1(a188) | c1_1(a188) | c3_1(a188) | (~ndr1_0))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(678,plain,
% 1.09/0.95 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a188) | c1_1(a188) | c0_1(a188))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | c0_1(a188) | c1_1(a188) | c3_1(a188) | (~ndr1_0)))),
% 1.09/0.95 inference(monotonicity,[status(thm)],[677])).
% 1.09/0.95 tff(679,plain,
% 1.09/0.95 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a188) | c1_1(a188) | c0_1(a188))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c0_1(a188) | c1_1(a188) | c3_1(a188) | (~ndr1_0))),
% 1.09/0.95 inference(transitivity,[status(thm)],[678, 676])).
% 1.09/0.95 tff(680,plain,
% 1.09/0.95 ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a188) | c1_1(a188) | c0_1(a188))),
% 1.09/0.95 inference(quant_inst,[status(thm)],[])).
% 1.09/0.95 tff(681,plain,
% 1.09/0.95 ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c0_1(a188) | c1_1(a188) | c3_1(a188) | (~ndr1_0)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[680, 679])).
% 1.09/0.95 tff(682,plain,
% 1.09/0.95 ($false),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[681, 160, 108, 675, 669, 663, 118])).
% 1.09/0.95 tff(683,plain,((~hskp0) | hskp1), inference(lemma,lemma(discharge,[]))).
% 1.09/0.95 tff(684,plain,
% 1.09/0.95 (~hskp0),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[683, 108])).
% 1.09/0.95 tff(685,plain,
% 1.09/0.95 ((hskp9 | hskp1 | hskp0) <=> (hskp9 | hskp1 | hskp0)),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(686,plain,
% 1.09/0.95 (((hskp1 | hskp9) | hskp0) <=> (hskp9 | hskp1 | hskp0)),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(687,axiom,((hskp1 | hskp9) | hskp0), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause29')).
% 1.09/0.95 tff(688,plain,
% 1.09/0.95 (hskp9 | hskp1 | hskp0),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[687, 686])).
% 1.09/0.95 tff(689,plain,
% 1.09/0.95 (hskp9 | hskp1 | hskp0),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[688, 685])).
% 1.09/0.95 tff(690,plain,
% 1.09/0.95 (hskp9 | hskp1 | hskp0),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[689, 685])).
% 1.09/0.95 tff(691,plain,
% 1.09/0.95 (hskp9 | hskp1 | hskp0),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[690, 685])).
% 1.09/0.95 tff(692,plain,
% 1.09/0.95 (hskp9 | hskp1 | hskp0),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[691, 685])).
% 1.09/0.95 tff(693,plain,
% 1.09/0.95 (hskp9 | hskp1 | hskp0),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[692, 685])).
% 1.09/0.95 tff(694,plain,
% 1.09/0.95 (hskp9 | hskp1 | hskp0),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[693, 685])).
% 1.09/0.95 tff(695,plain,
% 1.09/0.95 (hskp9 | hskp1 | hskp0),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[694, 685])).
% 1.09/0.95 tff(696,plain,
% 1.09/0.95 (hskp9),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[695, 684, 108])).
% 1.09/0.95 tff(697,plain,
% 1.09/0.95 (((~hskp9) | (~c1_1(a199))) <=> ((~hskp9) | (~c1_1(a199)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(698,plain,
% 1.09/0.95 (((~c1_1(a199)) | (~hskp9)) <=> ((~hskp9) | (~c1_1(a199)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(699,axiom,((~c1_1(a199)) | (~hskp9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause94')).
% 1.09/0.95 tff(700,plain,
% 1.09/0.95 ((~hskp9) | (~c1_1(a199))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[699, 698])).
% 1.09/0.95 tff(701,plain,
% 1.09/0.95 ((~hskp9) | (~c1_1(a199))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[700, 697])).
% 1.09/0.95 tff(702,plain,
% 1.09/0.95 (~c1_1(a199)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[701, 696])).
% 1.09/0.95 tff(703,plain,
% 1.09/0.95 (((~hskp9) | (~c0_1(a199))) <=> ((~hskp9) | (~c0_1(a199)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(704,plain,
% 1.09/0.95 (((~c0_1(a199)) | (~hskp9)) <=> ((~hskp9) | (~c0_1(a199)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(705,axiom,((~c0_1(a199)) | (~hskp9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause93')).
% 1.09/0.95 tff(706,plain,
% 1.09/0.95 ((~hskp9) | (~c0_1(a199))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[705, 704])).
% 1.09/0.95 tff(707,plain,
% 1.09/0.95 ((~hskp9) | (~c0_1(a199))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[706, 703])).
% 1.09/0.95 tff(708,plain,
% 1.09/0.95 (~c0_1(a199)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[707, 696])).
% 1.09/0.95 tff(709,plain,
% 1.09/0.95 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | c3_1(a199))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | c3_1(a199))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(710,plain,
% 1.09/0.95 ((hskp1 | (~ndr1_0) | c3_1(a199) | c1_1(a199) | c0_1(a199)) <=> (hskp1 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | c3_1(a199))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(711,plain,
% 1.09/0.95 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a199) | c1_1(a199) | c0_1(a199))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | c3_1(a199)))),
% 1.09/0.95 inference(monotonicity,[status(thm)],[710])).
% 1.09/0.95 tff(712,plain,
% 1.09/0.95 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a199) | c1_1(a199) | c0_1(a199))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | c3_1(a199))),
% 1.09/0.95 inference(transitivity,[status(thm)],[711, 709])).
% 1.09/0.95 tff(713,plain,
% 1.09/0.95 ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a199) | c1_1(a199) | c0_1(a199))),
% 1.09/0.95 inference(quant_inst,[status(thm)],[])).
% 1.09/0.95 tff(714,plain,
% 1.09/0.95 ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | c3_1(a199)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[713, 712])).
% 1.09/0.95 tff(715,plain,
% 1.09/0.95 (c3_1(a199)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[714, 160, 108, 708, 702, 118])).
% 1.09/0.95 tff(716,plain,
% 1.09/0.95 (((~hskp9) | c2_1(a199)) <=> ((~hskp9) | c2_1(a199))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(717,axiom,((~hskp9) | c2_1(a199)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause59')).
% 1.09/0.95 tff(718,plain,
% 1.09/0.95 ((~hskp9) | c2_1(a199)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[717, 716])).
% 1.09/0.95 tff(719,plain,
% 1.09/0.95 ((~hskp9) | c2_1(a199)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[718, 716])).
% 1.09/0.95 tff(720,plain,
% 1.09/0.95 ((~hskp9) | c2_1(a199)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[719, 716])).
% 1.09/0.95 tff(721,plain,
% 1.09/0.95 ((~hskp9) | c2_1(a199)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[720, 716])).
% 1.09/0.95 tff(722,plain,
% 1.09/0.95 ((~hskp9) | c2_1(a199)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[721, 716])).
% 1.09/0.95 tff(723,plain,
% 1.09/0.95 ((~hskp9) | c2_1(a199)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[722, 716])).
% 1.09/0.95 tff(724,plain,
% 1.09/0.95 ((~hskp9) | c2_1(a199)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[723, 716])).
% 1.09/0.95 tff(725,plain,
% 1.09/0.95 ((~hskp9) | c2_1(a199)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[724, 716])).
% 1.09/0.95 tff(726,plain,
% 1.09/0.95 (c2_1(a199)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[725, 696])).
% 1.09/0.95 tff(727,plain,
% 1.09/0.95 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | c0_1(a199) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a199)) | (~c3_1(a199)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c0_1(a199) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a199)) | (~c3_1(a199)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(728,plain,
% 1.09/0.95 ((hskp13 | (~ndr1_0) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c3_1(a191) | c1_1(a191) | c2_1(a191)) <=> (hskp13 | c0_1(a199) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a199)) | (~c3_1(a199)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(729,plain,
% 1.09/0.95 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c3_1(a191) | c1_1(a191) | c2_1(a191))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | c0_1(a199) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a199)) | (~c3_1(a199))))),
% 1.09/0.95 inference(monotonicity,[status(thm)],[728])).
% 1.09/0.95 tff(730,plain,
% 1.09/0.95 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c3_1(a191) | c1_1(a191) | c2_1(a191))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c0_1(a199) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a199)) | (~c3_1(a199)))),
% 1.09/0.95 inference(transitivity,[status(thm)],[729, 727])).
% 1.09/0.95 tff(731,plain,
% 1.09/0.95 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c3_1(a191) | c1_1(a191) | c2_1(a191))),
% 1.09/0.95 inference(quant_inst,[status(thm)],[])).
% 1.09/0.95 tff(732,plain,
% 1.09/0.95 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c0_1(a199) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a199)) | (~c3_1(a199))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[731, 730])).
% 1.09/0.95 tff(733,plain,
% 1.09/0.95 (hskp13 | (~c3_1(a199))),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[732, 160, 726, 708, 67, 66, 68, 267])).
% 1.09/0.95 tff(734,plain,
% 1.09/0.95 (hskp13),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[733, 715])).
% 1.09/0.95 tff(735,plain,
% 1.09/0.95 (~c0_1(a209)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[423, 734])).
% 1.09/0.95 tff(736,assumption,(c0_1(a194)), introduced(assumption)).
% 1.09/0.95 tff(737,plain,
% 1.09/0.95 (c3_1(a209)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[434, 734])).
% 1.09/0.95 tff(738,plain,
% 1.09/0.95 (c1_1(a209)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[445, 734])).
% 1.09/0.95 tff(739,plain,
% 1.09/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(740,plain,
% 1.09/0.95 (((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199))) <=> (c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(741,plain,
% 1.09/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209))))),
% 1.09/0.95 inference(monotonicity,[status(thm)],[740])).
% 1.09/0.95 tff(742,plain,
% 1.09/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.09/0.95 inference(transitivity,[status(thm)],[741, 739])).
% 1.09/0.95 tff(743,plain,
% 1.09/0.95 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199)))),
% 1.09/0.95 inference(quant_inst,[status(thm)],[])).
% 1.09/0.95 tff(744,plain,
% 1.09/0.95 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[743, 742])).
% 1.09/0.95 tff(745,plain,
% 1.09/0.95 ($false),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[744, 160, 738, 737, 726, 736, 735, 708, 702, 12, 11, 65])).
% 1.09/0.95 tff(746,plain,(hskp1 | (~c0_1(a194)) | c1_1(a194) | c2_1(a194) | c1_1(a191) | c2_1(a191) | c3_1(a191)), inference(lemma,lemma(discharge,[]))).
% 1.09/0.95 tff(747,plain,
% 1.09/0.95 (hskp1),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[746, 656, 645, 639, 67, 66, 68])).
% 1.09/0.95 tff(748,plain,
% 1.09/0.95 (c0_1(a190)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[218, 747])).
% 1.09/0.95 tff(749,assumption,(~c2_1(a190)), introduced(assumption)).
% 1.09/0.95 tff(750,plain,
% 1.09/0.95 (~hskp1),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[207, 749])).
% 1.09/0.95 tff(751,plain,
% 1.09/0.95 (~hskp0),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[683, 750])).
% 1.09/0.95 tff(752,plain,
% 1.09/0.95 (hskp9),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[695, 751, 750])).
% 1.09/0.95 tff(753,plain,
% 1.09/0.95 (~c0_1(a199)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[707, 752])).
% 1.09/0.95 tff(754,plain,
% 1.09/0.95 (~c1_1(a199)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[701, 752])).
% 1.09/0.95 tff(755,plain,
% 1.09/0.95 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | c0_1(a195) | c1_1(a195) | c3_1(a195) | (~ndr1_0))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c0_1(a195) | c1_1(a195) | c3_1(a195) | (~ndr1_0))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(756,plain,
% 1.09/0.95 ((hskp1 | (~ndr1_0) | c3_1(a195) | c1_1(a195) | c0_1(a195)) <=> (hskp1 | c0_1(a195) | c1_1(a195) | c3_1(a195) | (~ndr1_0))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(757,plain,
% 1.09/0.95 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a195) | c1_1(a195) | c0_1(a195))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | c0_1(a195) | c1_1(a195) | c3_1(a195) | (~ndr1_0)))),
% 1.09/0.95 inference(monotonicity,[status(thm)],[756])).
% 1.09/0.95 tff(758,plain,
% 1.09/0.95 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a195) | c1_1(a195) | c0_1(a195))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c0_1(a195) | c1_1(a195) | c3_1(a195) | (~ndr1_0))),
% 1.09/0.95 inference(transitivity,[status(thm)],[757, 755])).
% 1.09/0.95 tff(759,plain,
% 1.09/0.95 ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a195) | c1_1(a195) | c0_1(a195))),
% 1.09/0.95 inference(quant_inst,[status(thm)],[])).
% 1.09/0.95 tff(760,plain,
% 1.09/0.95 ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c0_1(a195) | c1_1(a195) | c3_1(a195) | (~ndr1_0)),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[759, 758])).
% 1.09/0.95 tff(761,plain,
% 1.09/0.95 (hskp1 | c0_1(a195) | c1_1(a195)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[760, 160, 614, 118])).
% 1.09/0.95 tff(762,plain,
% 1.09/0.95 (c0_1(a195)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[761, 750, 615])).
% 1.09/0.95 tff(763,plain,
% 1.09/0.95 (c0_1(a191)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[175, 750])).
% 1.09/0.95 tff(764,plain,
% 1.09/0.95 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp1 | c3_1(a195) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c0_1(a195)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp1 | c3_1(a195) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c0_1(a195)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(765,plain,
% 1.09/0.95 ((hskp1 | (~ndr1_0) | c3_1(a195) | (~c2_1(a195)) | (~c0_1(a195)) | c1_1(a191) | c2_1(a191) | (~c0_1(a191))) <=> (hskp1 | c3_1(a195) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c0_1(a195)))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(766,plain,
% 1.09/0.95 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | c3_1(a195) | (~c2_1(a195)) | (~c0_1(a195)) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp1 | c3_1(a195) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c0_1(a195))))),
% 1.09/0.95 inference(monotonicity,[status(thm)],[765])).
% 1.09/0.95 tff(767,plain,
% 1.09/0.95 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | c3_1(a195) | (~c2_1(a195)) | (~c0_1(a195)) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp1 | c3_1(a195) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c0_1(a195)))),
% 1.09/0.95 inference(transitivity,[status(thm)],[766, 764])).
% 1.09/0.95 tff(768,plain,
% 1.09/0.95 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | c3_1(a195) | (~c2_1(a195)) | (~c0_1(a195)) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)))),
% 1.09/0.95 inference(quant_inst,[status(thm)],[])).
% 1.09/0.95 tff(769,plain,
% 1.09/0.95 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp1 | c3_1(a195) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c0_1(a195))),
% 1.09/0.95 inference(modus_ponens,[status(thm)],[768, 767])).
% 1.09/0.95 tff(770,plain,
% 1.09/0.95 (hskp1 | (~c0_1(a191)) | (~c2_1(a195)) | (~c0_1(a195))),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[769, 160, 614, 67, 66, 186])).
% 1.09/0.95 tff(771,plain,
% 1.09/0.95 (~c2_1(a195)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[770, 763, 762, 750])).
% 1.09/0.95 tff(772,assumption,(~c1_1(a199)), introduced(assumption)).
% 1.09/0.95 tff(773,assumption,(~c0_1(a199)), introduced(assumption)).
% 1.09/0.95 tff(774,plain,
% 1.09/0.95 (hskp1 | c0_1(a199) | c3_1(a199)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[714, 160, 772, 118])).
% 1.09/0.95 tff(775,plain,
% 1.09/0.95 (c3_1(a199)),
% 1.09/0.95 inference(unit_resolution,[status(thm)],[774, 750, 773])).
% 1.09/0.95 tff(776,plain,
% 1.09/0.95 (^[V: $i, U: $i] : refl((hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) <=> (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)))),
% 1.09/0.95 inference(bind,[status(th)],[])).
% 1.09/0.95 tff(777,plain,
% 1.09/0.95 (![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.09/0.95 inference(quant_intro,[status(thm)],[776])).
% 1.09/0.95 tff(778,plain,
% 1.09/0.95 (![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.09/0.95 inference(rewrite,[status(thm)],[])).
% 1.09/0.95 tff(779,plain,
% 1.09/0.95 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c1_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U))))), (((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U))) | c3_1(U)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)))), (((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U))))), ((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U))) | c1_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U))) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V))), ((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V)))), (((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V)) | c2_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V))), (((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V)))), ((((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))), ((((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)))), (((((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | hskp15) <=> (((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | hskp15))), rewrite((((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | hskp15) <=> (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))), (((((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | hskp15) <=> (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))))),
% 1.09/0.96 inference(bind,[status(th)],[])).
% 1.09/0.96 tff(780,plain,
% 1.09/0.96 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | hskp15) <=> ![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.09/0.96 inference(quant_intro,[status(thm)],[779])).
% 1.09/0.96 tff(781,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | hskp15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause130')).
% 1.09/0.96 tff(782,plain,
% 1.09/0.96 (![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.09/0.96 inference(modus_ponens,[status(thm)],[781, 780])).
% 1.09/0.96 tff(783,plain,
% 1.09/0.96 (![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.09/0.96 inference(modus_ponens,[status(thm)],[782, 778])).
% 1.09/0.96 tff(784,plain,(
% 1.09/0.96 ![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.09/0.96 inference(skolemize,[status(sab)],[783])).
% 1.09/0.96 tff(785,plain,
% 1.09/0.96 (![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))),
% 1.09/0.96 inference(modus_ponens,[status(thm)],[784, 777])).
% 1.09/0.96 tff(786,plain,
% 1.09/0.96 (((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp15 | c2_1(a190) | c1_1(a191) | c2_1(a191) | c3_1(a191) | c3_1(a190) | (~ndr1_0) | (~c1_1(a190)))) <=> ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp15 | c2_1(a190) | c1_1(a191) | c2_1(a191) | c3_1(a191) | c3_1(a190) | (~ndr1_0) | (~c1_1(a190)))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(787,plain,
% 1.09/0.96 ((hskp15 | (~ndr1_0) | c3_1(a190) | c2_1(a190) | (~c1_1(a190)) | c3_1(a191) | c1_1(a191) | c2_1(a191)) <=> (hskp15 | c2_1(a190) | c1_1(a191) | c2_1(a191) | c3_1(a191) | c3_1(a190) | (~ndr1_0) | (~c1_1(a190)))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(788,plain,
% 1.09/0.96 (((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp15 | (~ndr1_0) | c3_1(a190) | c2_1(a190) | (~c1_1(a190)) | c3_1(a191) | c1_1(a191) | c2_1(a191))) <=> ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp15 | c2_1(a190) | c1_1(a191) | c2_1(a191) | c3_1(a191) | c3_1(a190) | (~ndr1_0) | (~c1_1(a190))))),
% 1.09/0.96 inference(monotonicity,[status(thm)],[787])).
% 1.09/0.96 tff(789,plain,
% 1.09/0.96 (((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp15 | (~ndr1_0) | c3_1(a190) | c2_1(a190) | (~c1_1(a190)) | c3_1(a191) | c1_1(a191) | c2_1(a191))) <=> ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp15 | c2_1(a190) | c1_1(a191) | c2_1(a191) | c3_1(a191) | c3_1(a190) | (~ndr1_0) | (~c1_1(a190)))),
% 1.09/0.96 inference(transitivity,[status(thm)],[788, 786])).
% 1.09/0.96 tff(790,plain,
% 1.09/0.96 ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp15 | (~ndr1_0) | c3_1(a190) | c2_1(a190) | (~c1_1(a190)) | c3_1(a191) | c1_1(a191) | c2_1(a191))),
% 1.09/0.96 inference(quant_inst,[status(thm)],[])).
% 1.09/0.96 tff(791,plain,
% 1.09/0.96 ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp15 | c2_1(a190) | c1_1(a191) | c2_1(a191) | c3_1(a191) | c3_1(a190) | (~ndr1_0) | (~c1_1(a190))),
% 1.09/0.96 inference(modus_ponens,[status(thm)],[790, 789])).
% 1.09/0.96 tff(792,plain,
% 1.09/0.96 (c2_1(a190) | (~c1_1(a190))),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[791, 160, 36, 67, 66, 68, 13, 785])).
% 1.09/0.96 tff(793,plain,
% 1.09/0.96 (~c1_1(a190)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[792, 749])).
% 1.09/0.96 tff(794,plain,
% 1.09/0.96 (^[V: $i, U: $i] : refl((hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) <=> (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))))),
% 1.09/0.96 inference(bind,[status(th)],[])).
% 1.09/0.96 tff(795,plain,
% 1.09/0.96 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.09/0.96 inference(quant_intro,[status(thm)],[794])).
% 1.09/0.96 tff(796,plain,
% 1.09/0.96 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(797,plain,
% 1.09/0.96 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c0_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c0_1(U)))), ((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c0_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c0_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)))), ((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c3_1(V))))), (((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c0_1(U)) | (~c3_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V)))), (((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V))))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | (~c3_1(V)))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | (~c3_1(V))))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V))))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | hskp1) <=> (((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) | hskp1))), rewrite((((~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) | hskp1) <=> (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | hskp1) <=> (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))))),
% 1.09/0.96 inference(bind,[status(th)],[])).
% 1.09/0.96 tff(798,plain,
% 1.09/0.96 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | hskp1) <=> ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.09/0.96 inference(quant_intro,[status(thm)],[797])).
% 1.09/0.96 tff(799,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | hskp1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause136')).
% 1.09/0.96 tff(800,plain,
% 1.09/0.96 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.09/0.96 inference(modus_ponens,[status(thm)],[799, 798])).
% 1.09/0.96 tff(801,plain,
% 1.09/0.96 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.09/0.96 inference(modus_ponens,[status(thm)],[800, 796])).
% 1.09/0.96 tff(802,plain,(
% 1.09/0.96 ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.09/0.96 inference(skolemize,[status(sab)],[801])).
% 1.09/0.96 tff(803,plain,
% 1.09/0.96 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.09/0.96 inference(modus_ponens,[status(thm)],[802, 795])).
% 1.09/0.96 tff(804,plain,
% 1.09/0.96 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp1 | c2_1(a199) | c1_1(a199) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c3_1(a199)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp1 | c2_1(a199) | c1_1(a199) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c3_1(a199)))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(805,plain,
% 1.09/0.96 ((hskp1 | (~ndr1_0) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c1_1(a199) | c2_1(a199) | (~c3_1(a199))) <=> (hskp1 | c2_1(a199) | c1_1(a199) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c3_1(a199)))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(806,plain,
% 1.09/0.96 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp1 | (~ndr1_0) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c1_1(a199) | c2_1(a199) | (~c3_1(a199)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp1 | c2_1(a199) | c1_1(a199) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c3_1(a199))))),
% 1.09/0.96 inference(monotonicity,[status(thm)],[805])).
% 1.09/0.96 tff(807,plain,
% 1.09/0.96 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp1 | (~ndr1_0) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c1_1(a199) | c2_1(a199) | (~c3_1(a199)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp1 | c2_1(a199) | c1_1(a199) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c3_1(a199)))),
% 1.09/0.96 inference(transitivity,[status(thm)],[806, 804])).
% 1.09/0.96 tff(808,plain,
% 1.09/0.96 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp1 | (~ndr1_0) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c1_1(a199) | c2_1(a199) | (~c3_1(a199)))),
% 1.09/0.96 inference(quant_inst,[status(thm)],[])).
% 1.09/0.96 tff(809,plain,
% 1.09/0.96 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp1 | c2_1(a199) | c1_1(a199) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c3_1(a199))),
% 1.09/0.96 inference(modus_ponens,[status(thm)],[808, 807])).
% 1.09/0.96 tff(810,plain,
% 1.09/0.96 (hskp1 | c2_1(a199) | (~c0_1(a191)) | (~c3_1(a199))),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[809, 160, 772, 66, 68, 803])).
% 1.09/0.96 tff(811,plain,
% 1.09/0.96 (c2_1(a199)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[810, 775, 763, 750])).
% 1.09/0.96 tff(812,plain,
% 1.09/0.96 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | c2_1(a190) | c0_1(a199) | c3_1(a190) | (~ndr1_0) | c1_1(a190) | (~c2_1(a199)) | (~c3_1(a199)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c2_1(a190) | c0_1(a199) | c3_1(a190) | (~ndr1_0) | c1_1(a190) | (~c2_1(a199)) | (~c3_1(a199)))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(813,plain,
% 1.09/0.96 ((hskp13 | (~ndr1_0) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c3_1(a190) | c1_1(a190) | c2_1(a190)) <=> (hskp13 | c2_1(a190) | c0_1(a199) | c3_1(a190) | (~ndr1_0) | c1_1(a190) | (~c2_1(a199)) | (~c3_1(a199)))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(814,plain,
% 1.09/0.96 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c3_1(a190) | c1_1(a190) | c2_1(a190))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | c2_1(a190) | c0_1(a199) | c3_1(a190) | (~ndr1_0) | c1_1(a190) | (~c2_1(a199)) | (~c3_1(a199))))),
% 1.09/0.96 inference(monotonicity,[status(thm)],[813])).
% 1.09/0.96 tff(815,plain,
% 1.09/0.96 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c3_1(a190) | c1_1(a190) | c2_1(a190))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c2_1(a190) | c0_1(a199) | c3_1(a190) | (~ndr1_0) | c1_1(a190) | (~c2_1(a199)) | (~c3_1(a199)))),
% 1.09/0.96 inference(transitivity,[status(thm)],[814, 812])).
% 1.09/0.96 tff(816,plain,
% 1.09/0.96 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c3_1(a190) | c1_1(a190) | c2_1(a190))),
% 1.09/0.96 inference(quant_inst,[status(thm)],[])).
% 1.09/0.96 tff(817,plain,
% 1.09/0.96 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c2_1(a190) | c0_1(a199) | c3_1(a190) | (~ndr1_0) | c1_1(a190) | (~c2_1(a199)) | (~c3_1(a199))),
% 1.09/0.96 inference(modus_ponens,[status(thm)],[816, 815])).
% 1.09/0.96 tff(818,plain,
% 1.09/0.96 (hskp13 | c2_1(a190) | c1_1(a190) | (~c2_1(a199)) | (~c3_1(a199))),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[817, 160, 773, 13, 267])).
% 1.09/0.96 tff(819,plain,
% 1.09/0.96 (hskp13),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[818, 811, 749, 793, 775])).
% 1.09/0.96 tff(820,plain,
% 1.09/0.96 (~c0_1(a209)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[423, 819])).
% 1.09/0.96 tff(821,plain,
% 1.09/0.96 (c3_1(a209)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[434, 819])).
% 1.09/0.96 tff(822,plain,
% 1.09/0.96 (c1_1(a209)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[445, 819])).
% 1.09/0.96 tff(823,plain,
% 1.09/0.96 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a195) | (~ndr1_0) | c2_1(a195) | (~c0_1(a195)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a195) | (~ndr1_0) | c2_1(a195) | (~c0_1(a195)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(824,plain,
% 1.09/0.96 (((~ndr1_0) | c1_1(a195) | c2_1(a195) | (~c0_1(a195)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199))) <=> (c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a195) | (~ndr1_0) | c2_1(a195) | (~c0_1(a195)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(825,plain,
% 1.09/0.96 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a195) | c2_1(a195) | (~c0_1(a195)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a195) | (~ndr1_0) | c2_1(a195) | (~c0_1(a195)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209))))),
% 1.09/0.96 inference(monotonicity,[status(thm)],[824])).
% 1.09/0.96 tff(826,plain,
% 1.09/0.96 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a195) | c2_1(a195) | (~c0_1(a195)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a195) | (~ndr1_0) | c2_1(a195) | (~c0_1(a195)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.09/0.96 inference(transitivity,[status(thm)],[825, 823])).
% 1.09/0.96 tff(827,plain,
% 1.09/0.96 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a195) | c2_1(a195) | (~c0_1(a195)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199)))),
% 1.09/0.96 inference(quant_inst,[status(thm)],[])).
% 1.09/0.96 tff(828,plain,
% 1.09/0.96 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a195) | (~ndr1_0) | c2_1(a195) | (~c0_1(a195)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209))),
% 1.09/0.96 inference(modus_ponens,[status(thm)],[827, 826])).
% 1.09/0.96 tff(829,plain,
% 1.09/0.96 ($false),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[828, 160, 822, 821, 811, 762, 820, 773, 772, 615, 65, 771])).
% 1.09/0.96 tff(830,plain,(c2_1(a190) | c0_1(a199) | c1_1(a199) | c1_1(a195) | c3_1(a190) | c2_1(a191) | c3_1(a191) | c3_1(a195) | c1_1(a191) | hskp15), inference(lemma,lemma(discharge,[]))).
% 1.09/0.96 tff(831,plain,
% 1.09/0.96 ($false),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[830, 754, 753, 749, 615, 13, 66, 68, 614, 67, 36])).
% 1.09/0.96 tff(832,plain,(c2_1(a190) | c1_1(a195) | c3_1(a190) | c2_1(a191) | c3_1(a191) | c3_1(a195) | c1_1(a191) | hskp15), inference(lemma,lemma(discharge,[]))).
% 1.09/0.96 tff(833,plain,
% 1.09/0.96 (c2_1(a190)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[832, 615, 13, 66, 68, 614, 67, 36])).
% 1.09/0.96 tff(834,assumption,(~c0_1(a195)), introduced(assumption)).
% 1.09/0.96 tff(835,plain,
% 1.09/0.96 (~hskp6),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[605, 834])).
% 1.09/0.96 tff(836,plain,
% 1.09/0.96 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | c0_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c0_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(837,plain,
% 1.09/0.96 ((hskp6 | (~ndr1_0) | c3_1(a195) | c0_1(a195) | c2_1(a195)) <=> (hskp6 | c0_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(838,plain,
% 1.09/0.96 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a195) | c0_1(a195) | c2_1(a195))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | c0_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195)))),
% 1.09/0.96 inference(monotonicity,[status(thm)],[837])).
% 1.09/0.96 tff(839,plain,
% 1.09/0.96 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a195) | c0_1(a195) | c2_1(a195))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c0_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195))),
% 1.09/0.96 inference(transitivity,[status(thm)],[838, 836])).
% 1.09/0.96 tff(840,plain,
% 1.09/0.96 ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a195) | c0_1(a195) | c2_1(a195))),
% 1.09/0.96 inference(quant_inst,[status(thm)],[])).
% 1.09/0.96 tff(841,plain,
% 1.09/0.96 ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c0_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195)),
% 1.09/0.96 inference(modus_ponens,[status(thm)],[840, 839])).
% 1.09/0.96 tff(842,plain,
% 1.09/0.96 (hskp6 | c0_1(a195) | c2_1(a195)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[841, 160, 614, 581])).
% 1.09/0.96 tff(843,plain,
% 1.09/0.96 (c2_1(a195)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[842, 835, 834])).
% 1.09/0.96 tff(844,plain,
% 1.09/0.96 (c0_1(a191)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[588, 835])).
% 1.09/0.96 tff(845,plain,
% 1.09/0.96 (hskp1),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[761, 834, 615])).
% 1.09/0.96 tff(846,plain,
% 1.09/0.96 (c0_1(a190)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[218, 845])).
% 1.09/0.96 tff(847,assumption,(c2_1(a190)), introduced(assumption)).
% 1.09/0.96 tff(848,plain,
% 1.09/0.96 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | c1_1(a195) | c3_1(a195) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a195)))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp19 | c1_1(a195) | c3_1(a195) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a195)))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(849,plain,
% 1.09/0.96 ((hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195))) <=> (hskp19 | c1_1(a195) | c3_1(a195) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a195)))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(850,plain,
% 1.09/0.96 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195)))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | c1_1(a195) | c3_1(a195) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a195))))),
% 1.09/0.96 inference(monotonicity,[status(thm)],[849])).
% 1.09/0.96 tff(851,plain,
% 1.09/0.96 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195)))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp19 | c1_1(a195) | c3_1(a195) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a195)))),
% 1.09/0.96 inference(transitivity,[status(thm)],[850, 848])).
% 1.09/0.96 tff(852,plain,
% 1.09/0.96 ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195)))),
% 1.09/0.96 inference(quant_inst,[status(thm)],[])).
% 1.09/0.96 tff(853,plain,
% 1.09/0.96 ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp19 | c1_1(a195) | c3_1(a195) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a195))),
% 1.09/0.96 inference(modus_ponens,[status(thm)],[852, 851])).
% 1.09/0.96 tff(854,plain,
% 1.09/0.96 (hskp19 | c1_1(a195) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a195))),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[853, 160, 614, 13, 229])).
% 1.09/0.96 tff(855,plain,
% 1.09/0.96 (hskp19),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[854, 843, 847, 615, 846])).
% 1.09/0.96 tff(856,plain,
% 1.09/0.96 (~c0_1(a225)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[253, 855])).
% 1.09/0.96 tff(857,plain,
% 1.09/0.96 (c3_1(a225)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[247, 855])).
% 1.09/0.96 tff(858,plain,
% 1.09/0.96 (hskp13),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[414, 857, 856, 66, 68, 844, 67])).
% 1.09/0.96 tff(859,plain,
% 1.09/0.96 (~c0_1(a209)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[423, 858])).
% 1.09/0.96 tff(860,plain,
% 1.09/0.96 (c3_1(a209)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[434, 858])).
% 1.09/0.96 tff(861,plain,
% 1.09/0.96 (c1_1(a209)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[445, 858])).
% 1.09/0.96 tff(862,plain,
% 1.09/0.96 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a195) | c0_1(a209) | c1_1(a195) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c1_1(a209)) | (~c3_1(a209)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a195) | c0_1(a209) | c1_1(a195) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(863,plain,
% 1.09/0.96 (((~ndr1_0) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a195) | c0_1(a195) | (~c2_1(a195))) <=> (c0_1(a195) | c0_1(a209) | c1_1(a195) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(864,plain,
% 1.09/0.96 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a195) | c0_1(a195) | (~c2_1(a195)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a195) | c0_1(a209) | c1_1(a195) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c1_1(a209)) | (~c3_1(a209))))),
% 1.09/0.96 inference(monotonicity,[status(thm)],[863])).
% 1.09/0.96 tff(865,plain,
% 1.09/0.96 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a195) | c0_1(a195) | (~c2_1(a195)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a195) | c0_1(a209) | c1_1(a195) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.09/0.96 inference(transitivity,[status(thm)],[864, 862])).
% 1.09/0.96 tff(866,plain,
% 1.09/0.96 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a195) | c0_1(a195) | (~c2_1(a195)))),
% 1.09/0.96 inference(quant_inst,[status(thm)],[])).
% 1.09/0.96 tff(867,plain,
% 1.09/0.96 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a195) | c0_1(a209) | c1_1(a195) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c1_1(a209)) | (~c3_1(a209))),
% 1.09/0.96 inference(modus_ponens,[status(thm)],[866, 865])).
% 1.09/0.96 tff(868,plain,
% 1.09/0.96 ($false),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[867, 160, 861, 860, 834, 859, 615, 67, 66, 65, 844, 843])).
% 1.09/0.96 tff(869,plain,(c0_1(a195) | c1_1(a195) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~c2_1(a190)) | c3_1(a195) | c3_1(a190)), inference(lemma,lemma(discharge,[]))).
% 1.09/0.96 tff(870,plain,
% 1.09/0.96 (c0_1(a195)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[869, 615, 67, 66, 68, 833, 614, 13])).
% 1.09/0.96 tff(871,plain,
% 1.09/0.96 (c0_1(a195)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[761, 108, 615])).
% 1.09/0.96 tff(872,plain,
% 1.09/0.96 (~c2_1(a195)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[770, 176, 871, 108])).
% 1.09/0.96 tff(873,plain,
% 1.09/0.96 (c3_1(a199)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[774, 108, 773])).
% 1.09/0.96 tff(874,plain,
% 1.09/0.96 (c2_1(a199)),
% 1.09/0.96 inference(unit_resolution,[status(thm)],[810, 873, 176, 108])).
% 1.09/0.96 tff(875,plain,
% 1.09/0.96 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | c0_1(a199) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195) | (~c2_1(a199)) | (~c3_1(a199)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c0_1(a199) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195) | (~c2_1(a199)) | (~c3_1(a199)))),
% 1.09/0.96 inference(rewrite,[status(thm)],[])).
% 1.09/0.96 tff(876,plain,
% 1.09/0.96 ((hskp13 | (~ndr1_0) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c3_1(a195) | c1_1(a195) | c2_1(a195)) <=> (hskp13 | c0_1(a199) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195) | (~c2_1(a199)) | (~c3_1(a199)))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(877,plain,
% 1.13/0.97 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c3_1(a195) | c1_1(a195) | c2_1(a195))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | c0_1(a199) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195) | (~c2_1(a199)) | (~c3_1(a199))))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[876])).
% 1.13/0.97 tff(878,plain,
% 1.13/0.97 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c3_1(a195) | c1_1(a195) | c2_1(a195))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c0_1(a199) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195) | (~c2_1(a199)) | (~c3_1(a199)))),
% 1.13/0.97 inference(transitivity,[status(thm)],[877, 875])).
% 1.13/0.97 tff(879,plain,
% 1.13/0.97 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c3_1(a195) | c1_1(a195) | c2_1(a195))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(880,plain,
% 1.13/0.97 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c0_1(a199) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195) | (~c2_1(a199)) | (~c3_1(a199))),
% 1.13/0.97 inference(modus_ponens,[status(thm)],[879, 878])).
% 1.13/0.97 tff(881,plain,
% 1.13/0.97 (hskp13 | c2_1(a195) | (~c2_1(a199)) | (~c3_1(a199))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[880, 160, 773, 615, 614, 267])).
% 1.13/0.97 tff(882,plain,
% 1.13/0.97 (hskp13),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[881, 874, 872, 873])).
% 1.13/0.97 tff(883,plain,
% 1.13/0.97 (~c0_1(a209)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[423, 882])).
% 1.13/0.97 tff(884,plain,
% 1.13/0.97 (c3_1(a209)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[434, 882])).
% 1.13/0.97 tff(885,plain,
% 1.13/0.97 (c1_1(a209)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[445, 882])).
% 1.13/0.97 tff(886,plain,
% 1.13/0.97 ($false),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[828, 160, 885, 884, 874, 871, 883, 773, 772, 615, 65, 872])).
% 1.13/0.97 tff(887,plain,(hskp1 | c0_1(a199) | c1_1(a199) | c1_1(a195) | c3_1(a195) | c2_1(a191) | c3_1(a191) | c1_1(a191)), inference(lemma,lemma(discharge,[]))).
% 1.13/0.97 tff(888,plain,
% 1.13/0.97 ($false),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[887, 702, 708, 108, 615, 614, 66, 68, 67])).
% 1.13/0.97 tff(889,plain,(hskp1 | c1_1(a195) | c3_1(a195) | c2_1(a191) | c3_1(a191) | c1_1(a191)), inference(lemma,lemma(discharge,[]))).
% 1.13/0.97 tff(890,plain,
% 1.13/0.97 (hskp1),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[889, 615, 614, 66, 68, 67])).
% 1.13/0.97 tff(891,plain,
% 1.13/0.97 (c0_1(a190)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[218, 890])).
% 1.13/0.97 tff(892,assumption,(c0_1(a190)), introduced(assumption)).
% 1.13/0.97 tff(893,assumption,(~hskp19), introduced(assumption)).
% 1.13/0.97 tff(894,plain,
% 1.13/0.97 (~c2_1(a195)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[854, 893, 847, 615, 892])).
% 1.13/0.97 tff(895,plain,
% 1.13/0.97 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp19 | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(896,plain,
% 1.13/0.97 ((hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a190) | c1_1(a190) | (~c2_1(a190))) <=> (hskp19 | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(897,plain,
% 1.13/0.97 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a190) | c1_1(a190) | (~c2_1(a190)))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190)))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[896])).
% 1.13/0.97 tff(898,plain,
% 1.13/0.97 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a190) | c1_1(a190) | (~c2_1(a190)))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp19 | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190))),
% 1.13/0.97 inference(transitivity,[status(thm)],[897, 895])).
% 1.13/0.97 tff(899,plain,
% 1.13/0.97 ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a190) | c1_1(a190) | (~c2_1(a190)))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(900,plain,
% 1.13/0.97 ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp19 | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190)),
% 1.13/0.97 inference(modus_ponens,[status(thm)],[899, 898])).
% 1.13/0.97 tff(901,plain,
% 1.13/0.97 (hskp19 | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[900, 160, 13, 229])).
% 1.13/0.97 tff(902,plain,
% 1.13/0.97 (c1_1(a190)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[901, 893, 847, 892])).
% 1.13/0.97 tff(903,plain,
% 1.13/0.97 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W))))),
% 1.13/0.97 inference(bind,[status(th)],[])).
% 1.13/0.97 tff(904,plain,
% 1.13/0.97 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 1.13/0.97 inference(quant_intro,[status(thm)],[903])).
% 1.13/0.97 tff(905,plain,
% 1.13/0.97 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(906,plain,
% 1.13/0.97 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) <=> ((~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> (((~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c0_1(W))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c0_1(W)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c0_1(W))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c0_1(W))) | c2_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c0_1(W))) | c2_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c0_1(W)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c0_1(W))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c0_1(W))) | c3_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c0_1(W))) | c3_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c0_1(W)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c0_1(W))))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c0_1(W))) | c1_1(W)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c0_1(W))) | c1_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c0_1(W))))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W)) | c2_1(W)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c0_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c0_1(W))) | c2_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W)) | c2_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))))),
% 1.13/0.97 inference(bind,[status(th)],[])).
% 1.13/0.97 tff(907,plain,
% 1.13/0.97 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 1.13/0.97 inference(quant_intro,[status(thm)],[906])).
% 1.13/0.97 tff(908,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W)) | c2_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause159')).
% 1.13/0.97 tff(909,plain,
% 1.13/0.97 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 1.13/0.97 inference(modus_ponens,[status(thm)],[908, 907])).
% 1.13/0.97 tff(910,plain,
% 1.13/0.97 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 1.13/0.97 inference(modus_ponens,[status(thm)],[909, 905])).
% 1.13/0.97 tff(911,plain,(
% 1.13/0.97 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 1.13/0.97 inference(skolemize,[status(sab)],[910])).
% 1.13/0.97 tff(912,plain,
% 1.13/0.97 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 1.13/0.97 inference(modus_ponens,[status(thm)],[911, 904])).
% 1.13/0.97 tff(913,plain,
% 1.13/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c1_1(a190)) | c2_1(a195) | (~c0_1(a195)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c1_1(a190)) | c2_1(a195) | (~c0_1(a195)))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(914,plain,
% 1.13/0.97 (((~ndr1_0) | (~c1_1(a190)) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c2_1(a195) | (~c0_1(a195)) | c2_1(a195) | c1_1(a195) | (~c0_1(a195))) <=> (c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c1_1(a190)) | c2_1(a195) | (~c0_1(a195)))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(915,plain,
% 1.13/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c1_1(a190)) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c2_1(a195) | (~c0_1(a195)) | c2_1(a195) | c1_1(a195) | (~c0_1(a195)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c1_1(a190)) | c2_1(a195) | (~c0_1(a195))))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[914])).
% 1.13/0.97 tff(916,plain,
% 1.13/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c1_1(a190)) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c2_1(a195) | (~c0_1(a195)) | c2_1(a195) | c1_1(a195) | (~c0_1(a195)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c1_1(a190)) | c2_1(a195) | (~c0_1(a195)))),
% 1.13/0.97 inference(transitivity,[status(thm)],[915, 913])).
% 1.13/0.97 tff(917,plain,
% 1.13/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c1_1(a190)) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c2_1(a195) | (~c0_1(a195)) | c2_1(a195) | c1_1(a195) | (~c0_1(a195)))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(918,plain,
% 1.13/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c1_1(a190)) | c2_1(a195) | (~c0_1(a195))),
% 1.13/0.97 inference(modus_ponens,[status(thm)],[917, 916])).
% 1.13/0.97 tff(919,plain,
% 1.13/0.97 ($false),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[918, 160, 616, 892, 847, 615, 614, 912, 902, 894])).
% 1.13/0.97 tff(920,plain,(hskp19 | (~c0_1(a195)) | (~c0_1(a190)) | (~c2_1(a190)) | c1_1(a195) | c3_1(a195) | c3_1(a190)), inference(lemma,lemma(discharge,[]))).
% 1.13/0.97 tff(921,plain,
% 1.13/0.97 (hskp19),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[920, 891, 833, 870, 615, 614, 13])).
% 1.13/0.97 tff(922,plain,
% 1.13/0.97 (~c0_1(a225)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[253, 921])).
% 1.13/0.97 tff(923,plain,
% 1.13/0.97 (c3_1(a225)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[247, 921])).
% 1.13/0.97 tff(924,plain,
% 1.13/0.97 (hskp13),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[417, 923, 922, 67, 66, 68])).
% 1.13/0.97 tff(925,plain,
% 1.13/0.97 (~c0_1(a209)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[423, 924])).
% 1.13/0.97 tff(926,plain,
% 1.13/0.97 (c3_1(a209)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[434, 924])).
% 1.13/0.97 tff(927,plain,
% 1.13/0.97 (c1_1(a209)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[445, 924])).
% 1.13/0.97 tff(928,plain,
% 1.13/0.97 (hskp10),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[452, 160, 927, 926, 925, 67, 66, 68, 10])).
% 1.13/0.97 tff(929,plain,
% 1.13/0.97 (c0_1(a200)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[331, 928])).
% 1.13/0.97 tff(930,plain,
% 1.13/0.97 (~c1_1(a225)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[459, 921])).
% 1.13/0.97 tff(931,plain,
% 1.13/0.97 (c3_1(a200)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[342, 928])).
% 1.13/0.97 tff(932,plain,
% 1.13/0.97 (~c1_1(a200)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[409, 928])).
% 1.13/0.97 tff(933,assumption,(c2_1(a225)), introduced(assumption)).
% 1.13/0.97 tff(934,plain,
% 1.13/0.97 (c2_1(a200) | (~c0_1(a200)) | (~c2_1(a225))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[481, 160, 466, 465, 256, 475, 463, 354, 65])).
% 1.13/0.97 tff(935,plain,
% 1.13/0.97 (c2_1(a200)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[934, 933, 464])).
% 1.13/0.97 tff(936,plain,
% 1.13/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a225) | c1_1(a225) | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | c1_1(a225) | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a225)))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(937,plain,
% 1.13/0.97 (((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225))) <=> (c0_1(a225) | c1_1(a225) | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a225)))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(938,plain,
% 1.13/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a225) | c1_1(a225) | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a225))))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[937])).
% 1.13/0.97 tff(939,plain,
% 1.13/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | c1_1(a225) | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a225)))),
% 1.13/0.97 inference(transitivity,[status(thm)],[938, 936])).
% 1.13/0.97 tff(940,plain,
% 1.13/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225)))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(941,plain,
% 1.13/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | c1_1(a225) | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a225))),
% 1.13/0.97 inference(modus_ponens,[status(thm)],[940, 939])).
% 1.13/0.97 tff(942,plain,
% 1.13/0.97 ((~c0_1(a194)) | (~c2_1(a225))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[941, 160, 466, 465, 256, 475, 463, 12, 11, 65])).
% 1.13/0.97 tff(943,plain,
% 1.13/0.97 (~c0_1(a194)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[942, 933])).
% 1.13/0.97 tff(944,plain,
% 1.13/0.97 (~hskp5),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[655, 943])).
% 1.13/0.97 tff(945,plain,
% 1.13/0.97 (hskp23 | hskp5 | (~c2_1(a200))),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[529, 160, 464, 617, 523])).
% 1.13/0.97 tff(946,plain,
% 1.13/0.97 (hskp23),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[945, 944, 935])).
% 1.13/0.97 tff(947,plain,
% 1.13/0.97 (c3_1(a189)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[541, 946])).
% 1.13/0.97 tff(948,plain,
% 1.13/0.97 (c1_1(a189)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[552, 946])).
% 1.13/0.97 tff(949,plain,
% 1.13/0.97 (c0_1(a189)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[563, 946])).
% 1.13/0.97 tff(950,plain,
% 1.13/0.97 ($false),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[628, 160, 949, 948, 947, 464, 617, 616, 615, 614, 512, 935])).
% 1.13/0.97 tff(951,plain,((~c2_1(a225)) | (~c0_1(a200)) | (~c3_1(a200)) | (~c0_1(a195)) | c1_1(a195) | c3_1(a195) | (~c1_1(a209)) | (~c3_1(a209)) | c0_1(a225) | c1_1(a225) | c0_1(a209) | c1_1(a200) | c1_1(a194) | c2_1(a194)), inference(lemma,lemma(discharge,[]))).
% 1.13/0.97 tff(952,plain,
% 1.13/0.97 (~c2_1(a225)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[951, 932, 931, 870, 615, 614, 927, 926, 922, 930, 925, 929, 12, 11])).
% 1.13/0.97 tff(953,plain,
% 1.13/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a225) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)) | (~c0_1(a195)) | c2_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a225) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)) | (~c0_1(a195)) | c2_1(a225) | (~c3_1(a225)))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(954,plain,
% 1.13/0.97 (((~ndr1_0) | c3_1(a195) | (~c2_1(a195)) | (~c0_1(a195)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225))) <=> (c0_1(a225) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)) | (~c0_1(a195)) | c2_1(a225) | (~c3_1(a225)))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(955,plain,
% 1.13/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a195) | (~c2_1(a195)) | (~c0_1(a195)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a225) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)) | (~c0_1(a195)) | c2_1(a225) | (~c3_1(a225))))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[954])).
% 1.13/0.97 tff(956,plain,
% 1.13/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a195) | (~c2_1(a195)) | (~c0_1(a195)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a225) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)) | (~c0_1(a195)) | c2_1(a225) | (~c3_1(a225)))),
% 1.13/0.97 inference(transitivity,[status(thm)],[955, 953])).
% 1.13/0.97 tff(957,plain,
% 1.13/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a195) | (~c2_1(a195)) | (~c0_1(a195)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(958,plain,
% 1.13/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a225) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)) | (~c0_1(a195)) | c2_1(a225) | (~c3_1(a225))),
% 1.13/0.97 inference(modus_ponens,[status(thm)],[957, 956])).
% 1.13/0.97 tff(959,plain,
% 1.13/0.97 (~c2_1(a195)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[958, 160, 923, 870, 922, 615, 614, 493, 952])).
% 1.13/0.97 tff(960,plain,
% 1.13/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a225) | c1_1(a225) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195) | c2_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a225) | c1_1(a225) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195) | c2_1(a225) | (~c3_1(a225)))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(961,plain,
% 1.13/0.97 (((~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c3_1(a225)) | c3_1(a195) | c1_1(a195) | c2_1(a195) | c2_1(a225) | c1_1(a225) | c0_1(a225)) <=> (c0_1(a225) | c1_1(a225) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195) | c2_1(a225) | (~c3_1(a225)))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(962,plain,
% 1.13/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c3_1(a225)) | c3_1(a195) | c1_1(a195) | c2_1(a195) | c2_1(a225) | c1_1(a225) | c0_1(a225))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a225) | c1_1(a225) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195) | c2_1(a225) | (~c3_1(a225))))),
% 1.13/0.97 inference(monotonicity,[status(thm)],[961])).
% 1.13/0.97 tff(963,plain,
% 1.13/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c3_1(a225)) | c3_1(a195) | c1_1(a195) | c2_1(a195) | c2_1(a225) | c1_1(a225) | c0_1(a225))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a225) | c1_1(a225) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195) | c2_1(a225) | (~c3_1(a225)))),
% 1.13/0.97 inference(transitivity,[status(thm)],[962, 960])).
% 1.13/0.97 tff(964,plain,
% 1.13/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c3_1(a225)) | c3_1(a195) | c1_1(a195) | c2_1(a195) | c2_1(a225) | c1_1(a225) | c0_1(a225))),
% 1.13/0.97 inference(quant_inst,[status(thm)],[])).
% 1.13/0.97 tff(965,plain,
% 1.13/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a225) | c1_1(a225) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | c2_1(a195) | c2_1(a225) | (~c3_1(a225))),
% 1.13/0.97 inference(modus_ponens,[status(thm)],[964, 963])).
% 1.13/0.97 tff(966,plain,
% 1.13/0.97 ($false),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[965, 160, 923, 922, 930, 615, 614, 285, 959, 952])).
% 1.13/0.97 tff(967,plain,(c1_1(a195) | c3_1(a195) | c1_1(a194) | c2_1(a194) | c1_1(a191) | c2_1(a191) | c3_1(a191) | c3_1(a190) | hskp15), inference(lemma,lemma(discharge,[]))).
% 1.13/0.97 tff(968,plain,
% 1.13/0.97 (c1_1(a195)),
% 1.13/0.97 inference(unit_resolution,[status(thm)],[967, 614, 12, 11, 67, 66, 68, 13, 36])).
% 1.13/0.97 tff(969,plain,
% 1.13/0.97 (((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp15 | (~c1_1(a195)) | c3_1(a195) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c2_1(a195))) <=> ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp15 | (~c1_1(a195)) | c3_1(a195) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c2_1(a195))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(970,plain,
% 1.13/0.97 ((hskp15 | (~ndr1_0) | c3_1(a195) | c2_1(a195) | (~c1_1(a195)) | c3_1(a191) | c1_1(a191) | c2_1(a191)) <=> (hskp15 | (~c1_1(a195)) | c3_1(a195) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c2_1(a195))),
% 1.13/0.97 inference(rewrite,[status(thm)],[])).
% 1.13/0.97 tff(971,plain,
% 1.13/0.97 (((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp15 | (~ndr1_0) | c3_1(a195) | c2_1(a195) | (~c1_1(a195)) | c3_1(a191) | c1_1(a191) | c2_1(a191))) <=> ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp15 | (~c1_1(a195)) | c3_1(a195) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c2_1(a195)))),
% 1.13/0.98 inference(monotonicity,[status(thm)],[970])).
% 1.13/0.98 tff(972,plain,
% 1.13/0.98 (((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp15 | (~ndr1_0) | c3_1(a195) | c2_1(a195) | (~c1_1(a195)) | c3_1(a191) | c1_1(a191) | c2_1(a191))) <=> ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp15 | (~c1_1(a195)) | c3_1(a195) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c2_1(a195))),
% 1.13/0.98 inference(transitivity,[status(thm)],[971, 969])).
% 1.13/0.98 tff(973,plain,
% 1.13/0.98 ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp15 | (~ndr1_0) | c3_1(a195) | c2_1(a195) | (~c1_1(a195)) | c3_1(a191) | c1_1(a191) | c2_1(a191))),
% 1.13/0.98 inference(quant_inst,[status(thm)],[])).
% 1.13/0.98 tff(974,plain,
% 1.13/0.98 ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp15 | (~c1_1(a195)) | c3_1(a195) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | c2_1(a195)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[973, 972])).
% 1.13/0.98 tff(975,plain,
% 1.13/0.98 ((~c1_1(a195)) | c2_1(a195)),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[974, 160, 36, 614, 67, 66, 68, 785])).
% 1.13/0.98 tff(976,plain,
% 1.13/0.98 (c2_1(a195)),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[975, 968])).
% 1.13/0.98 tff(977,plain,
% 1.13/0.98 (~hskp6),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[611, 968])).
% 1.13/0.98 tff(978,plain,
% 1.13/0.98 (c0_1(a191)),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[588, 977])).
% 1.13/0.98 tff(979,plain,
% 1.13/0.98 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~c1_1(a195)) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c0_1(a195)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (~c1_1(a195)) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c0_1(a195)))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(980,plain,
% 1.13/0.98 (((~ndr1_0) | (~c1_1(a195)) | (~c2_1(a195)) | (~c0_1(a195)) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c2_1(a191) | c1_1(a191) | (~c0_1(a191))) <=> ((~c1_1(a195)) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c0_1(a195)))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(981,plain,
% 1.13/0.98 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c1_1(a195)) | (~c2_1(a195)) | (~c0_1(a195)) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c2_1(a191) | c1_1(a191) | (~c0_1(a191)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~c1_1(a195)) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c0_1(a195))))),
% 1.13/0.98 inference(monotonicity,[status(thm)],[980])).
% 1.13/0.98 tff(982,plain,
% 1.13/0.98 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c1_1(a195)) | (~c2_1(a195)) | (~c0_1(a195)) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c2_1(a191) | c1_1(a191) | (~c0_1(a191)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (~c1_1(a195)) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c0_1(a195)))),
% 1.13/0.98 inference(transitivity,[status(thm)],[981, 979])).
% 1.13/0.98 tff(983,plain,
% 1.13/0.98 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c1_1(a195)) | (~c2_1(a195)) | (~c0_1(a195)) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c2_1(a191) | c1_1(a191) | (~c0_1(a191)))),
% 1.13/0.98 inference(quant_inst,[status(thm)],[])).
% 1.13/0.98 tff(984,plain,
% 1.13/0.98 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (~c1_1(a195)) | c1_1(a191) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a195)) | (~c0_1(a195))),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[983, 982])).
% 1.13/0.98 tff(985,plain,
% 1.13/0.98 (~c0_1(a195)),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[984, 160, 968, 67, 66, 68, 912, 978, 976])).
% 1.13/0.98 tff(986,plain,
% 1.13/0.98 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a195) | (~c1_1(a195)) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a195) | (~c1_1(a195)) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(987,plain,
% 1.13/0.98 ((hskp5 | (~ndr1_0) | c3_1(a195) | c0_1(a195) | (~c2_1(a195)) | c3_1(a195) | c0_1(a195) | (~c1_1(a195))) <=> (hskp5 | c0_1(a195) | (~c1_1(a195)) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(988,plain,
% 1.13/0.98 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c3_1(a195) | c0_1(a195) | (~c2_1(a195)) | c3_1(a195) | c0_1(a195) | (~c1_1(a195)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a195) | (~c1_1(a195)) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195))))),
% 1.13/0.98 inference(monotonicity,[status(thm)],[987])).
% 1.13/0.98 tff(989,plain,
% 1.13/0.98 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c3_1(a195) | c0_1(a195) | (~c2_1(a195)) | c3_1(a195) | c0_1(a195) | (~c1_1(a195)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a195) | (~c1_1(a195)) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)))),
% 1.13/0.98 inference(transitivity,[status(thm)],[988, 986])).
% 1.13/0.98 tff(990,plain,
% 1.13/0.98 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c3_1(a195) | c0_1(a195) | (~c2_1(a195)) | c3_1(a195) | c0_1(a195) | (~c1_1(a195)))),
% 1.13/0.98 inference(quant_inst,[status(thm)],[])).
% 1.13/0.98 tff(991,plain,
% 1.13/0.98 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a195) | (~c1_1(a195)) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195))),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[990, 989])).
% 1.13/0.98 tff(992,plain,
% 1.13/0.98 (hskp5 | c0_1(a195) | (~c1_1(a195)) | (~c2_1(a195))),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[991, 160, 614, 35])).
% 1.13/0.98 tff(993,plain,
% 1.13/0.98 (hskp5),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[992, 985, 968, 976])).
% 1.13/0.98 tff(994,plain,
% 1.13/0.98 (c0_1(a194)),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[655, 993])).
% 1.13/0.98 tff(995,assumption,(c2_1(a195)), introduced(assumption)).
% 1.13/0.98 tff(996,plain,
% 1.13/0.98 (^[V: $i, U: $i] : refl((hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) <=> (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))))),
% 1.13/0.98 inference(bind,[status(th)],[])).
% 1.13/0.98 tff(997,plain,
% 1.13/0.98 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.13/0.98 inference(quant_intro,[status(thm)],[996])).
% 1.13/0.98 tff(998,plain,
% 1.13/0.98 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(999,plain,
% 1.13/0.98 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) <=> ((~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(V)) | hskp6) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) | hskp6))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) | hskp6) <=> (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(V)) | hskp6) <=> (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))))),
% 1.13/0.98 inference(bind,[status(th)],[])).
% 1.13/0.98 tff(1000,plain,
% 1.13/0.98 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(V)) | hskp6) <=> ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.13/0.98 inference(quant_intro,[status(thm)],[999])).
% 1.13/0.98 tff(1001,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(V)) | hskp6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause152')).
% 1.13/0.98 tff(1002,plain,
% 1.13/0.98 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1001, 1000])).
% 1.13/0.98 tff(1003,plain,
% 1.13/0.98 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1002, 998])).
% 1.13/0.98 tff(1004,plain,(
% 1.13/0.98 ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.13/0.98 inference(skolemize,[status(sab)],[1003])).
% 1.13/0.98 tff(1005,plain,
% 1.13/0.98 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1004, 997])).
% 1.13/0.98 tff(1006,assumption,(c1_1(a195)), introduced(assumption)).
% 1.13/0.98 tff(1007,plain,
% 1.13/0.98 (~hskp6),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[611, 1006])).
% 1.13/0.98 tff(1008,plain,
% 1.13/0.98 (c0_1(a191)),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[588, 1007])).
% 1.13/0.98 tff(1009,plain,
% 1.13/0.98 (~c0_1(a195)),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[984, 160, 1006, 67, 66, 68, 912, 1008, 995])).
% 1.13/0.98 tff(1010,plain,
% 1.13/0.98 (^[V: $i, U: $i] : refl((hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V))) <=> (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V))))),
% 1.13/0.98 inference(bind,[status(th)],[])).
% 1.13/0.98 tff(1011,plain,
% 1.13/0.98 (![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))),
% 1.13/0.98 inference(quant_intro,[status(thm)],[1010])).
% 1.13/0.98 tff(1012,plain,
% 1.13/0.98 (![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(1013,plain,
% 1.13/0.98 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c2_1(V)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c2_1(V))))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c2_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c3_1(V)) | (~c2_1(V)))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c3_1(V)) | (~c2_1(V))))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c3_1(V)) | (~c2_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c3_1(V)) | (~c2_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | (~c3_1(V)) | (~c2_1(V)))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | (~c3_1(V)) | (~c2_1(V))))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | (~c3_1(V)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | (~c3_1(V)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V))))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | hskp14) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V))) | hskp14))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V))) | hskp14) <=> (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | hskp14) <=> (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))))),
% 1.13/0.98 inference(bind,[status(th)],[])).
% 1.13/0.98 tff(1014,plain,
% 1.13/0.98 (![V: $i, U: $i] : ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | hskp14) <=> ![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))),
% 1.13/0.98 inference(quant_intro,[status(thm)],[1013])).
% 1.13/0.98 tff(1015,axiom,(![V: $i, U: $i] : ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | hskp14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause147')).
% 1.13/0.98 tff(1016,plain,
% 1.13/0.98 (![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1015, 1014])).
% 1.13/0.98 tff(1017,plain,
% 1.13/0.98 (![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1016, 1012])).
% 1.13/0.98 tff(1018,plain,(
% 1.13/0.98 ![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))),
% 1.13/0.98 inference(skolemize,[status(sab)],[1017])).
% 1.13/0.98 tff(1019,plain,
% 1.13/0.98 (![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1018, 1011])).
% 1.13/0.98 tff(1020,plain,
% 1.13/0.98 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | (hskp14 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | (~c2_1(a199)) | (~c3_1(a199)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | hskp14 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | (~c2_1(a199)) | (~c3_1(a199)))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(1021,plain,
% 1.13/0.98 ((hskp14 | (~ndr1_0) | c1_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199))) <=> (hskp14 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | (~c2_1(a199)) | (~c3_1(a199)))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(1022,plain,
% 1.13/0.98 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c1_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | (hskp14 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | (~c2_1(a199)) | (~c3_1(a199))))),
% 1.13/0.98 inference(monotonicity,[status(thm)],[1021])).
% 1.13/0.98 tff(1023,plain,
% 1.13/0.98 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c1_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | hskp14 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | (~c2_1(a199)) | (~c3_1(a199)))),
% 1.13/0.98 inference(transitivity,[status(thm)],[1022, 1020])).
% 1.13/0.98 tff(1024,plain,
% 1.13/0.98 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c1_1(a199) | (~c3_1(a199)) | (~c2_1(a199)) | c0_1(a199) | (~c3_1(a199)) | (~c2_1(a199)))),
% 1.13/0.98 inference(quant_inst,[status(thm)],[])).
% 1.13/0.98 tff(1025,plain,
% 1.13/0.98 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | hskp14 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | (~c2_1(a199)) | (~c3_1(a199))),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1024, 1023])).
% 1.13/0.98 tff(1026,plain,
% 1.13/0.98 (hskp14 | (~c3_1(a199))),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[1025, 160, 726, 708, 702, 1019])).
% 1.13/0.98 tff(1027,plain,
% 1.13/0.98 (hskp14),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[1026, 715])).
% 1.13/0.98 tff(1028,plain,
% 1.13/0.98 (((~hskp14) | c3_1(a210)) <=> ((~hskp14) | c3_1(a210))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(1029,axiom,((~hskp14) | c3_1(a210)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause53')).
% 1.13/0.98 tff(1030,plain,
% 1.13/0.98 ((~hskp14) | c3_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 1.13/0.98 tff(1031,plain,
% 1.13/0.98 ((~hskp14) | c3_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1030, 1028])).
% 1.13/0.98 tff(1032,plain,
% 1.13/0.98 ((~hskp14) | c3_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1031, 1028])).
% 1.13/0.98 tff(1033,plain,
% 1.13/0.98 ((~hskp14) | c3_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1032, 1028])).
% 1.13/0.98 tff(1034,plain,
% 1.13/0.98 ((~hskp14) | c3_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1033, 1028])).
% 1.13/0.98 tff(1035,plain,
% 1.13/0.98 ((~hskp14) | c3_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1034, 1028])).
% 1.13/0.98 tff(1036,plain,
% 1.13/0.98 ((~hskp14) | c3_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1035, 1028])).
% 1.13/0.98 tff(1037,plain,
% 1.13/0.98 ((~hskp14) | c3_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1036, 1028])).
% 1.13/0.98 tff(1038,plain,
% 1.13/0.98 (c3_1(a210)),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[1037, 1027])).
% 1.13/0.98 tff(1039,plain,
% 1.13/0.98 (((~hskp14) | c2_1(a210)) <=> ((~hskp14) | c2_1(a210))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(1040,axiom,((~hskp14) | c2_1(a210)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause52')).
% 1.13/0.98 tff(1041,plain,
% 1.13/0.98 ((~hskp14) | c2_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1040, 1039])).
% 1.13/0.98 tff(1042,plain,
% 1.13/0.98 ((~hskp14) | c2_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1041, 1039])).
% 1.13/0.98 tff(1043,plain,
% 1.13/0.98 ((~hskp14) | c2_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1042, 1039])).
% 1.13/0.98 tff(1044,plain,
% 1.13/0.98 ((~hskp14) | c2_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1043, 1039])).
% 1.13/0.98 tff(1045,plain,
% 1.13/0.98 ((~hskp14) | c2_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1044, 1039])).
% 1.13/0.98 tff(1046,plain,
% 1.13/0.98 ((~hskp14) | c2_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1045, 1039])).
% 1.13/0.98 tff(1047,plain,
% 1.13/0.98 ((~hskp14) | c2_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1046, 1039])).
% 1.13/0.98 tff(1048,plain,
% 1.13/0.98 ((~hskp14) | c2_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1047, 1039])).
% 1.13/0.98 tff(1049,plain,
% 1.13/0.98 (c2_1(a210)),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[1048, 1027])).
% 1.13/0.98 tff(1050,plain,
% 1.13/0.98 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp6 | c0_1(a195) | (~c1_1(a195)) | (~ndr1_0) | (~c2_1(a195)) | (~c2_1(a210)) | (~c3_1(a210)) | (~c0_1(a210)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp6 | c0_1(a195) | (~c1_1(a195)) | (~ndr1_0) | (~c2_1(a195)) | (~c2_1(a210)) | (~c3_1(a210)) | (~c0_1(a210)))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(1051,plain,
% 1.13/0.98 ((hskp6 | (~ndr1_0) | (~c3_1(a210)) | (~c2_1(a210)) | (~c0_1(a210)) | c0_1(a195) | (~c1_1(a195)) | (~c2_1(a195))) <=> (hskp6 | c0_1(a195) | (~c1_1(a195)) | (~ndr1_0) | (~c2_1(a195)) | (~c2_1(a210)) | (~c3_1(a210)) | (~c0_1(a210)))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(1052,plain,
% 1.13/0.98 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp6 | (~ndr1_0) | (~c3_1(a210)) | (~c2_1(a210)) | (~c0_1(a210)) | c0_1(a195) | (~c1_1(a195)) | (~c2_1(a195)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp6 | c0_1(a195) | (~c1_1(a195)) | (~ndr1_0) | (~c2_1(a195)) | (~c2_1(a210)) | (~c3_1(a210)) | (~c0_1(a210))))),
% 1.13/0.98 inference(monotonicity,[status(thm)],[1051])).
% 1.13/0.98 tff(1053,plain,
% 1.13/0.98 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp6 | (~ndr1_0) | (~c3_1(a210)) | (~c2_1(a210)) | (~c0_1(a210)) | c0_1(a195) | (~c1_1(a195)) | (~c2_1(a195)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp6 | c0_1(a195) | (~c1_1(a195)) | (~ndr1_0) | (~c2_1(a195)) | (~c2_1(a210)) | (~c3_1(a210)) | (~c0_1(a210)))),
% 1.13/0.98 inference(transitivity,[status(thm)],[1052, 1050])).
% 1.13/0.98 tff(1054,plain,
% 1.13/0.98 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp6 | (~ndr1_0) | (~c3_1(a210)) | (~c2_1(a210)) | (~c0_1(a210)) | c0_1(a195) | (~c1_1(a195)) | (~c2_1(a195)))),
% 1.13/0.98 inference(quant_inst,[status(thm)],[])).
% 1.13/0.98 tff(1055,plain,
% 1.13/0.98 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp6 | c0_1(a195) | (~c1_1(a195)) | (~ndr1_0) | (~c2_1(a195)) | (~c2_1(a210)) | (~c3_1(a210)) | (~c0_1(a210))),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1054, 1053])).
% 1.13/0.98 tff(1056,plain,
% 1.13/0.98 (~c0_1(a210)),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[1055, 160, 1007, 1049, 1038, 1009, 1006, 1005, 995])).
% 1.13/0.98 tff(1057,plain,
% 1.13/0.98 (((~hskp14) | (~c1_1(a210))) <=> ((~hskp14) | (~c1_1(a210)))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(1058,plain,
% 1.13/0.98 (((~c1_1(a210)) | (~hskp14)) <=> ((~hskp14) | (~c1_1(a210)))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(1059,axiom,((~c1_1(a210)) | (~hskp14)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause85')).
% 1.13/0.98 tff(1060,plain,
% 1.13/0.98 ((~hskp14) | (~c1_1(a210))),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1059, 1058])).
% 1.13/0.98 tff(1061,plain,
% 1.13/0.98 ((~hskp14) | (~c1_1(a210))),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1060, 1057])).
% 1.13/0.98 tff(1062,plain,
% 1.13/0.98 (~c1_1(a210)),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[1061, 1027])).
% 1.13/0.98 tff(1063,plain,
% 1.13/0.98 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c1_1(a210) | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a210)) | c0_1(a210))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a210) | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a210)) | c0_1(a210))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(1064,plain,
% 1.13/0.98 (((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a210) | c0_1(a210) | (~c2_1(a210))) <=> (c1_1(a210) | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a210)) | c0_1(a210))),
% 1.13/0.98 inference(rewrite,[status(thm)],[])).
% 1.13/0.98 tff(1065,plain,
% 1.13/0.98 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a210) | c0_1(a210) | (~c2_1(a210)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c1_1(a210) | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a210)) | c0_1(a210)))),
% 1.13/0.98 inference(monotonicity,[status(thm)],[1064])).
% 1.13/0.98 tff(1066,plain,
% 1.13/0.98 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a210) | c0_1(a210) | (~c2_1(a210)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a210) | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a210)) | c0_1(a210))),
% 1.13/0.98 inference(transitivity,[status(thm)],[1065, 1063])).
% 1.13/0.98 tff(1067,plain,
% 1.13/0.98 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a210) | c0_1(a210) | (~c2_1(a210)))),
% 1.13/0.98 inference(quant_inst,[status(thm)],[])).
% 1.13/0.98 tff(1068,plain,
% 1.13/0.98 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a210) | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)) | (~c2_1(a210)) | c0_1(a210)),
% 1.13/0.98 inference(modus_ponens,[status(thm)],[1067, 1066])).
% 1.13/0.98 tff(1069,plain,
% 1.13/0.98 ($false),
% 1.13/0.98 inference(unit_resolution,[status(thm)],[1068, 160, 1049, 738, 737, 736, 1062, 735, 12, 11, 65, 1056])).
% 1.13/0.99 tff(1070,plain,(hskp1 | (~c0_1(a194)) | c1_1(a194) | c2_1(a194) | (~c1_1(a195)) | (~c2_1(a195)) | c1_1(a191) | c2_1(a191) | c3_1(a191)), inference(lemma,lemma(discharge,[]))).
% 1.13/0.99 tff(1071,plain,
% 1.13/0.99 (hskp1),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1070, 994, 12, 11, 968, 976, 67, 66, 68])).
% 1.13/0.99 tff(1072,plain,
% 1.13/0.99 (c0_1(a190)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[218, 1071])).
% 1.13/0.99 tff(1073,plain,
% 1.13/0.99 (c2_1(a190)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[207, 1071])).
% 1.13/0.99 tff(1074,assumption,(c1_1(a190)), introduced(assumption)).
% 1.13/0.99 tff(1075,plain,
% 1.13/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a194) | c2_1(a194) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c1_1(a190)) | (~c0_1(a191)) | (~c0_1(a194)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a194) | c2_1(a194) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c1_1(a190)) | (~c0_1(a191)) | (~c0_1(a194)))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1076,plain,
% 1.13/0.99 (((~ndr1_0) | (~c1_1(a190)) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c2_1(a194) | c1_1(a194) | (~c0_1(a194))) <=> (c1_1(a194) | c2_1(a194) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c1_1(a190)) | (~c0_1(a191)) | (~c0_1(a194)))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1077,plain,
% 1.13/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c1_1(a190)) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c2_1(a194) | c1_1(a194) | (~c0_1(a194)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a194) | c2_1(a194) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c1_1(a190)) | (~c0_1(a191)) | (~c0_1(a194))))),
% 1.13/0.99 inference(monotonicity,[status(thm)],[1076])).
% 1.13/0.99 tff(1078,plain,
% 1.13/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c1_1(a190)) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c2_1(a194) | c1_1(a194) | (~c0_1(a194)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a194) | c2_1(a194) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c1_1(a190)) | (~c0_1(a191)) | (~c0_1(a194)))),
% 1.13/0.99 inference(transitivity,[status(thm)],[1077, 1075])).
% 1.13/0.99 tff(1079,plain,
% 1.13/0.99 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c1_1(a190)) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a191) | c2_1(a191) | (~c0_1(a191)) | c2_1(a194) | c1_1(a194) | (~c0_1(a194)))),
% 1.13/0.99 inference(quant_inst,[status(thm)],[])).
% 1.13/0.99 tff(1080,plain,
% 1.13/0.99 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a194) | c2_1(a194) | c2_1(a191) | c3_1(a191) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c1_1(a190)) | (~c0_1(a191)) | (~c0_1(a194))),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1079, 1078])).
% 1.13/0.99 tff(1081,plain,
% 1.13/0.99 ($false),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1080, 160, 736, 892, 847, 12, 11, 66, 68, 912, 411, 1074])).
% 1.13/0.99 tff(1082,plain,((~c1_1(a190)) | (~c0_1(a194)) | (~c0_1(a190)) | (~c2_1(a190)) | c1_1(a194) | c2_1(a194) | c2_1(a191) | c3_1(a191) | (~c0_1(a191))), inference(lemma,lemma(discharge,[]))).
% 1.13/0.99 tff(1083,plain,
% 1.13/0.99 (~c1_1(a190)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1082, 994, 1072, 1073, 12, 11, 66, 68, 978])).
% 1.13/0.99 tff(1084,plain,
% 1.13/0.99 (hskp19),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[901, 1083, 1073, 1072])).
% 1.13/0.99 tff(1085,plain,
% 1.13/0.99 (c3_1(a225)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[247, 1084])).
% 1.13/0.99 tff(1086,plain,
% 1.13/0.99 (~c0_1(a225)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[253, 1084])).
% 1.13/0.99 tff(1087,plain,
% 1.13/0.99 (hskp13),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[414, 1086, 978, 66, 68, 1085, 67])).
% 1.13/0.99 tff(1088,plain,
% 1.13/0.99 (~c0_1(a209)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[423, 1087])).
% 1.13/0.99 tff(1089,plain,
% 1.13/0.99 (~c1_1(a225)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[459, 1084])).
% 1.13/0.99 tff(1090,plain,
% 1.13/0.99 (c3_1(a209)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[434, 1087])).
% 1.13/0.99 tff(1091,plain,
% 1.13/0.99 (c1_1(a209)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[445, 1087])).
% 1.13/0.99 tff(1092,plain,
% 1.13/0.99 (~c2_1(a225)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[941, 160, 1091, 1090, 994, 1086, 1089, 1088, 12, 11, 65])).
% 1.13/0.99 tff(1093,plain,
% 1.13/0.99 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))))),
% 1.13/0.99 inference(bind,[status(th)],[])).
% 1.13/0.99 tff(1094,plain,
% 1.13/0.99 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.13/0.99 inference(quant_intro,[status(thm)],[1093])).
% 1.13/0.99 tff(1095,plain,
% 1.13/0.99 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1096,plain,
% 1.13/0.99 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))) | (~c3_1(W))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W)))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))) | c0_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W)))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))))), ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | (~c3_1(W)))), ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | (~c3_1(W))))), (((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) | c0_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))), (((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))))),
% 1.13/0.99 inference(bind,[status(th)],[])).
% 1.13/0.99 tff(1097,plain,
% 1.13/0.99 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) | c0_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.13/0.99 inference(quant_intro,[status(thm)],[1096])).
% 1.13/0.99 tff(1098,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) | c0_1(W)) | c2_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause157')).
% 1.13/0.99 tff(1099,plain,
% 1.13/0.99 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1098, 1097])).
% 1.13/0.99 tff(1100,plain,
% 1.13/0.99 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1099, 1095])).
% 1.13/0.99 tff(1101,plain,(
% 1.13/0.99 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.13/0.99 inference(skolemize,[status(sab)],[1100])).
% 1.13/0.99 tff(1102,plain,
% 1.13/0.99 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1101, 1094])).
% 1.13/0.99 tff(1103,plain,
% 1.13/0.99 (hskp10),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[319, 160, 1085, 1086, 66, 68, 313, 978, 1092])).
% 1.13/0.99 tff(1104,plain,
% 1.13/0.99 (~c1_1(a200)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[409, 1103])).
% 1.13/0.99 tff(1105,plain,
% 1.13/0.99 (c3_1(a200)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[342, 1103])).
% 1.13/0.99 tff(1106,plain,
% 1.13/0.99 (c0_1(a200)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[331, 1103])).
% 1.13/0.99 tff(1107,plain,
% 1.13/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a195) | c0_1(a225) | c1_1(a200) | (~c1_1(a195)) | (~ndr1_0) | (~c2_1(a195)) | (~c3_1(a200)) | (~c0_1(a200)) | c2_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a195) | c0_1(a225) | c1_1(a200) | (~c1_1(a195)) | (~ndr1_0) | (~c2_1(a195)) | (~c3_1(a200)) | (~c0_1(a200)) | c2_1(a225) | (~c3_1(a225)))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1108,plain,
% 1.13/0.99 (((~ndr1_0) | c1_1(a200) | (~c3_1(a200)) | (~c0_1(a200)) | c0_1(a195) | (~c1_1(a195)) | (~c2_1(a195)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225))) <=> (c0_1(a195) | c0_1(a225) | c1_1(a200) | (~c1_1(a195)) | (~ndr1_0) | (~c2_1(a195)) | (~c3_1(a200)) | (~c0_1(a200)) | c2_1(a225) | (~c3_1(a225)))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1109,plain,
% 1.13/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c1_1(a200) | (~c3_1(a200)) | (~c0_1(a200)) | c0_1(a195) | (~c1_1(a195)) | (~c2_1(a195)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a195) | c0_1(a225) | c1_1(a200) | (~c1_1(a195)) | (~ndr1_0) | (~c2_1(a195)) | (~c3_1(a200)) | (~c0_1(a200)) | c2_1(a225) | (~c3_1(a225))))),
% 1.13/0.99 inference(monotonicity,[status(thm)],[1108])).
% 1.13/0.99 tff(1110,plain,
% 1.13/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c1_1(a200) | (~c3_1(a200)) | (~c0_1(a200)) | c0_1(a195) | (~c1_1(a195)) | (~c2_1(a195)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a195) | c0_1(a225) | c1_1(a200) | (~c1_1(a195)) | (~ndr1_0) | (~c2_1(a195)) | (~c3_1(a200)) | (~c0_1(a200)) | c2_1(a225) | (~c3_1(a225)))),
% 1.13/0.99 inference(transitivity,[status(thm)],[1109, 1107])).
% 1.13/0.99 tff(1111,plain,
% 1.13/0.99 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c1_1(a200) | (~c3_1(a200)) | (~c0_1(a200)) | c0_1(a195) | (~c1_1(a195)) | (~c2_1(a195)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))),
% 1.13/0.99 inference(quant_inst,[status(thm)],[])).
% 1.13/0.99 tff(1112,plain,
% 1.13/0.99 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a195) | c0_1(a225) | c1_1(a200) | (~c1_1(a195)) | (~ndr1_0) | (~c2_1(a195)) | (~c3_1(a200)) | (~c0_1(a200)) | c2_1(a225) | (~c3_1(a225))),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1111, 1110])).
% 1.13/0.99 tff(1113,plain,
% 1.13/0.99 ($false),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1112, 160, 1085, 1106, 1105, 985, 1086, 1104, 968, 1102, 976, 1092])).
% 1.13/0.99 tff(1114,plain,(c3_1(a195) | c2_1(a191) | c3_1(a191) | c1_1(a194) | c2_1(a194) | c1_1(a191) | c3_1(a190) | hskp15), inference(lemma,lemma(discharge,[]))).
% 1.13/0.99 tff(1115,plain,
% 1.13/0.99 (c3_1(a195)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1114, 645, 68, 66, 639, 67, 13, 36])).
% 1.13/0.99 tff(1116,plain,
% 1.13/0.99 (~hskp6),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[594, 1115])).
% 1.13/0.99 tff(1117,plain,
% 1.13/0.99 (c0_1(a191)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[588, 1116])).
% 1.13/0.99 tff(1118,plain,
% 1.13/0.99 (c2_1(a190)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[207, 747])).
% 1.13/0.99 tff(1119,plain,
% 1.13/0.99 (~c1_1(a190)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1082, 748, 656, 1118, 645, 639, 66, 68, 1117])).
% 1.13/0.99 tff(1120,plain,
% 1.13/0.99 (hskp19),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[901, 1118, 1119, 748])).
% 1.13/0.99 tff(1121,plain,
% 1.13/0.99 (c3_1(a225)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[247, 1120])).
% 1.13/0.99 tff(1122,plain,
% 1.13/0.99 (~c0_1(a225)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[253, 1120])).
% 1.13/0.99 tff(1123,plain,
% 1.13/0.99 (hskp13),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[417, 1122, 1121, 67, 66, 68])).
% 1.13/0.99 tff(1124,plain,
% 1.13/0.99 (~c0_1(a209)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[423, 1123])).
% 1.13/0.99 tff(1125,plain,
% 1.13/0.99 (~c1_1(a225)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[459, 1120])).
% 1.13/0.99 tff(1126,plain,
% 1.13/0.99 (c3_1(a209)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[434, 1123])).
% 1.13/0.99 tff(1127,plain,
% 1.13/0.99 (c1_1(a209)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[445, 1123])).
% 1.13/0.99 tff(1128,plain,
% 1.13/0.99 (~c2_1(a225)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[941, 160, 1127, 1126, 656, 1122, 1125, 1124, 645, 639, 65])).
% 1.13/0.99 tff(1129,plain,
% 1.13/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a225) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | c2_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a225) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | c2_1(a225) | (~c3_1(a225)))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1130,plain,
% 1.13/0.99 (((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a190) | c1_1(a190) | (~c2_1(a190)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225))) <=> (c0_1(a225) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | c2_1(a225) | (~c3_1(a225)))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1131,plain,
% 1.13/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a190) | c1_1(a190) | (~c2_1(a190)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a225) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | c2_1(a225) | (~c3_1(a225))))),
% 1.13/0.99 inference(monotonicity,[status(thm)],[1130])).
% 1.13/0.99 tff(1132,plain,
% 1.13/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a190) | c1_1(a190) | (~c2_1(a190)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a225) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | c2_1(a225) | (~c3_1(a225)))),
% 1.13/0.99 inference(transitivity,[status(thm)],[1131, 1129])).
% 1.13/0.99 tff(1133,plain,
% 1.13/0.99 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a190) | c1_1(a190) | (~c2_1(a190)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))),
% 1.13/0.99 inference(quant_inst,[status(thm)],[])).
% 1.13/0.99 tff(1134,plain,
% 1.13/0.99 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a225) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | c2_1(a225) | (~c3_1(a225))),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1133, 1132])).
% 1.13/0.99 tff(1135,plain,
% 1.13/0.99 ($false),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1134, 160, 1121, 748, 1118, 1122, 13, 493, 1119, 1128])).
% 1.13/0.99 tff(1136,plain,(c3_1(a190) | c1_1(a191) | c2_1(a191) | c3_1(a191) | hskp15), inference(lemma,lemma(discharge,[]))).
% 1.13/0.99 tff(1137,plain,
% 1.13/0.99 (c3_1(a190)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1136, 55, 49, 43, 36])).
% 1.13/0.99 tff(1138,plain,
% 1.13/0.99 (((~hskp1) | (~c3_1(a190))) <=> ((~hskp1) | (~c3_1(a190)))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1139,plain,
% 1.13/0.99 (((~c3_1(a190)) | (~hskp1)) <=> ((~hskp1) | (~c3_1(a190)))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1140,axiom,((~c3_1(a190)) | (~hskp1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause108')).
% 1.13/0.99 tff(1141,plain,
% 1.13/0.99 ((~hskp1) | (~c3_1(a190))),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1140, 1139])).
% 1.13/0.99 tff(1142,plain,
% 1.13/0.99 ((~hskp1) | (~c3_1(a190))),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1141, 1138])).
% 1.13/0.99 tff(1143,plain,
% 1.13/0.99 (~hskp1),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1142, 1137])).
% 1.13/0.99 tff(1144,plain,
% 1.13/0.99 (hskp1 | c0_1(a191)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[174, 160, 55, 43, 118])).
% 1.13/0.99 tff(1145,plain,
% 1.13/0.99 (c0_1(a191)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1144, 1143])).
% 1.13/0.99 tff(1146,plain,
% 1.13/0.99 (~hskp0),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[683, 1143])).
% 1.13/0.99 tff(1147,plain,
% 1.13/0.99 (hskp9),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[695, 1146, 1143])).
% 1.13/0.99 tff(1148,plain,
% 1.13/0.99 (~c1_1(a199)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[701, 1147])).
% 1.13/0.99 tff(1149,plain,
% 1.13/0.99 (~c0_1(a199)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[707, 1147])).
% 1.13/0.99 tff(1150,plain,
% 1.13/0.99 (c3_1(a199)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[714, 160, 1143, 1149, 1148, 118])).
% 1.13/0.99 tff(1151,plain,
% 1.13/0.99 (c2_1(a199)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[725, 1147])).
% 1.13/0.99 tff(1152,plain,
% 1.13/0.99 (hskp13 | (~c3_1(a199))),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[732, 160, 1151, 1149, 55, 49, 43, 267])).
% 1.13/0.99 tff(1153,plain,
% 1.13/0.99 (hskp13),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1152, 1150])).
% 1.13/0.99 tff(1154,plain,
% 1.13/0.99 (~c0_1(a209)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[423, 1153])).
% 1.13/0.99 tff(1155,plain,
% 1.13/0.99 (c3_1(a209)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[434, 1153])).
% 1.13/0.99 tff(1156,plain,
% 1.13/0.99 (c1_1(a209)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[445, 1153])).
% 1.13/0.99 tff(1157,plain,
% 1.13/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1158,plain,
% 1.13/0.99 (((~ndr1_0) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199))) <=> (c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1159,plain,
% 1.13/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209))))),
% 1.13/0.99 inference(monotonicity,[status(thm)],[1158])).
% 1.13/0.99 tff(1160,plain,
% 1.13/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.13/0.99 inference(transitivity,[status(thm)],[1159, 1157])).
% 1.13/0.99 tff(1161,plain,
% 1.13/0.99 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199)))),
% 1.13/0.99 inference(quant_inst,[status(thm)],[])).
% 1.13/0.99 tff(1162,plain,
% 1.13/0.99 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a209) | c0_1(a199) | c1_1(a199) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c2_1(a199)) | (~c1_1(a209)) | (~c3_1(a209))),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1161, 1160])).
% 1.13/0.99 tff(1163,plain,
% 1.13/0.99 ($false),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1162, 160, 1156, 1155, 1151, 1154, 1149, 1148, 55, 49, 65, 1145])).
% 1.13/0.99 tff(1164,plain,((~hskp2) | hskp15), inference(lemma,lemma(discharge,[]))).
% 1.13/0.99 tff(1165,plain,
% 1.13/0.99 (~hskp2),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1164, 36])).
% 1.13/0.99 tff(1166,plain,
% 1.13/0.99 (hskp25),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[158, 1165, 36])).
% 1.13/0.99 tff(1167,plain,
% 1.13/0.99 (((~hskp25) | c0_1(a230)) <=> ((~hskp25) | c0_1(a230))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1168,axiom,((~hskp25) | c0_1(a230)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause34')).
% 1.13/0.99 tff(1169,plain,
% 1.13/0.99 ((~hskp25) | c0_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1168, 1167])).
% 1.13/0.99 tff(1170,plain,
% 1.13/0.99 ((~hskp25) | c0_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1169, 1167])).
% 1.13/0.99 tff(1171,plain,
% 1.13/0.99 ((~hskp25) | c0_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1170, 1167])).
% 1.13/0.99 tff(1172,plain,
% 1.13/0.99 ((~hskp25) | c0_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1171, 1167])).
% 1.13/0.99 tff(1173,plain,
% 1.13/0.99 ((~hskp25) | c0_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1172, 1167])).
% 1.13/0.99 tff(1174,plain,
% 1.13/0.99 ((~hskp25) | c0_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1173, 1167])).
% 1.13/0.99 tff(1175,plain,
% 1.13/0.99 ((~hskp25) | c0_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1174, 1167])).
% 1.13/0.99 tff(1176,plain,
% 1.13/0.99 ((~hskp25) | c0_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1175, 1167])).
% 1.13/0.99 tff(1177,plain,
% 1.13/0.99 (c0_1(a230)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1176, 1166])).
% 1.13/0.99 tff(1178,plain,
% 1.13/0.99 (((~hskp25) | c2_1(a230)) <=> ((~hskp25) | c2_1(a230))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1179,axiom,((~hskp25) | c2_1(a230)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause36')).
% 1.13/0.99 tff(1180,plain,
% 1.13/0.99 ((~hskp25) | c2_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1179, 1178])).
% 1.13/0.99 tff(1181,plain,
% 1.13/0.99 ((~hskp25) | c2_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1180, 1178])).
% 1.13/0.99 tff(1182,plain,
% 1.13/0.99 ((~hskp25) | c2_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1181, 1178])).
% 1.13/0.99 tff(1183,plain,
% 1.13/0.99 ((~hskp25) | c2_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1182, 1178])).
% 1.13/0.99 tff(1184,plain,
% 1.13/0.99 ((~hskp25) | c2_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1183, 1178])).
% 1.13/0.99 tff(1185,plain,
% 1.13/0.99 ((~hskp25) | c2_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1184, 1178])).
% 1.13/0.99 tff(1186,plain,
% 1.13/0.99 ((~hskp25) | c2_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1185, 1178])).
% 1.13/0.99 tff(1187,plain,
% 1.13/0.99 ((~hskp25) | c2_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1186, 1178])).
% 1.13/0.99 tff(1188,plain,
% 1.13/0.99 (c2_1(a230)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1187, 1166])).
% 1.13/0.99 tff(1189,plain,
% 1.13/0.99 (((~hskp25) | c1_1(a230)) <=> ((~hskp25) | c1_1(a230))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1190,axiom,((~hskp25) | c1_1(a230)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause35')).
% 1.13/0.99 tff(1191,plain,
% 1.13/0.99 ((~hskp25) | c1_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1190, 1189])).
% 1.13/0.99 tff(1192,plain,
% 1.13/0.99 ((~hskp25) | c1_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1191, 1189])).
% 1.13/0.99 tff(1193,plain,
% 1.13/0.99 ((~hskp25) | c1_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1192, 1189])).
% 1.13/0.99 tff(1194,plain,
% 1.13/0.99 ((~hskp25) | c1_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1193, 1189])).
% 1.13/0.99 tff(1195,plain,
% 1.13/0.99 ((~hskp25) | c1_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1194, 1189])).
% 1.13/0.99 tff(1196,plain,
% 1.13/0.99 ((~hskp25) | c1_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1195, 1189])).
% 1.13/0.99 tff(1197,plain,
% 1.13/0.99 ((~hskp25) | c1_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1196, 1189])).
% 1.13/0.99 tff(1198,plain,
% 1.13/0.99 ((~hskp25) | c1_1(a230)),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1197, 1189])).
% 1.13/0.99 tff(1199,plain,
% 1.13/0.99 (c1_1(a230)),
% 1.13/0.99 inference(unit_resolution,[status(thm)],[1198, 1166])).
% 1.13/0.99 tff(1200,plain,
% 1.13/0.99 (^[U: $i] : refl((hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) <=> (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))))),
% 1.13/0.99 inference(bind,[status(th)],[])).
% 1.13/0.99 tff(1201,plain,
% 1.13/0.99 (![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 1.13/0.99 inference(quant_intro,[status(thm)],[1200])).
% 1.13/0.99 tff(1202,plain,
% 1.13/0.99 (![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1203,plain,
% 1.13/0.99 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) <=> ((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp1) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | hskp1))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | hskp1) <=> (hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp1) <=> (hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp1) | hskp2) <=> ((hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | hskp2))), rewrite(((hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | hskp2) <=> (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp1) | hskp2) <=> (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))))),
% 1.13/0.99 inference(bind,[status(th)],[])).
% 1.13/0.99 tff(1204,plain,
% 1.13/0.99 (![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp1) | hskp2) <=> ![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 1.13/0.99 inference(quant_intro,[status(thm)],[1203])).
% 1.13/0.99 tff(1205,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp1) | hskp2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause126')).
% 1.13/0.99 tff(1206,plain,
% 1.13/0.99 (![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1205, 1204])).
% 1.13/0.99 tff(1207,plain,
% 1.13/0.99 (![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1206, 1202])).
% 1.13/0.99 tff(1208,plain,(
% 1.13/0.99 ![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 1.13/0.99 inference(skolemize,[status(sab)],[1207])).
% 1.13/0.99 tff(1209,plain,
% 1.13/0.99 (![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 1.13/0.99 inference(modus_ponens,[status(thm)],[1208, 1201])).
% 1.13/0.99 tff(1210,assumption,(c1_1(a230)), introduced(assumption)).
% 1.13/0.99 tff(1211,assumption,(c0_1(a230)), introduced(assumption)).
% 1.13/0.99 tff(1212,plain,
% 1.13/0.99 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp2 | hskp1 | (~ndr1_0) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1213,plain,
% 1.13/0.99 ((hskp2 | hskp1 | (~ndr1_0) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a230))) <=> (hskp2 | hskp1 | (~ndr1_0) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)))),
% 1.13/0.99 inference(rewrite,[status(thm)],[])).
% 1.13/0.99 tff(1214,plain,
% 1.13/0.99 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a230)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230))))),
% 1.13/0.99 inference(monotonicity,[status(thm)],[1213])).
% 1.13/0.99 tff(1215,plain,
% 1.13/0.99 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a230)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp2 | hskp1 | (~ndr1_0) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)))),
% 1.13/0.99 inference(transitivity,[status(thm)],[1214, 1212])).
% 1.13/0.99 tff(1216,plain,
% 1.13/0.99 ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a230)))),
% 1.13/1.00 inference(quant_inst,[status(thm)],[])).
% 1.13/1.00 tff(1217,plain,
% 1.13/1.00 ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp2 | hskp1 | (~ndr1_0) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230))),
% 1.13/1.00 inference(modus_ponens,[status(thm)],[1216, 1215])).
% 1.13/1.00 tff(1218,plain,
% 1.13/1.00 (hskp1 | (~c3_1(a230))),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1217, 160, 14, 1211, 1210, 1209])).
% 1.13/1.00 tff(1219,plain,
% 1.13/1.00 (~c3_1(a230)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1218, 108])).
% 1.13/1.00 tff(1220,plain,
% 1.13/1.00 (^[V: $i, U: $i] : refl((hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))))),
% 1.13/1.00 inference(bind,[status(th)],[])).
% 1.13/1.00 tff(1221,plain,
% 1.13/1.00 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.13/1.00 inference(quant_intro,[status(thm)],[1220])).
% 1.13/1.00 tff(1222,plain,
% 1.13/1.00 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.13/1.00 inference(rewrite,[status(thm)],[])).
% 1.13/1.00 tff(1223,plain,
% 1.13/1.00 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp2) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) | hskp2))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) | hskp2) <=> (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp2) <=> (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))))),
% 1.13/1.00 inference(bind,[status(th)],[])).
% 1.13/1.00 tff(1224,plain,
% 1.13/1.00 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp2) <=> ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.13/1.00 inference(quant_intro,[status(thm)],[1223])).
% 1.13/1.00 tff(1225,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause137')).
% 1.13/1.00 tff(1226,plain,
% 1.13/1.00 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.13/1.00 inference(modus_ponens,[status(thm)],[1225, 1224])).
% 1.13/1.00 tff(1227,plain,
% 1.13/1.00 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.13/1.00 inference(modus_ponens,[status(thm)],[1226, 1222])).
% 1.13/1.00 tff(1228,plain,(
% 1.13/1.00 ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.13/1.00 inference(skolemize,[status(sab)],[1227])).
% 1.13/1.00 tff(1229,plain,
% 1.13/1.00 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.13/1.00 inference(modus_ponens,[status(thm)],[1228, 1221])).
% 1.13/1.00 tff(1230,plain,
% 1.13/1.00 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | c3_1(a230) | (~c0_1(a230)) | (~c1_1(a230)) | (~c3_1(a199)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | c3_1(a230) | (~c0_1(a230)) | (~c1_1(a230)) | (~c3_1(a199)))),
% 1.13/1.00 inference(rewrite,[status(thm)],[])).
% 1.13/1.00 tff(1231,plain,
% 1.13/1.00 ((hskp2 | (~ndr1_0) | c3_1(a230) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a199) | c0_1(a199) | (~c3_1(a199))) <=> (hskp2 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | c3_1(a230) | (~c0_1(a230)) | (~c1_1(a230)) | (~c3_1(a199)))),
% 1.13/1.00 inference(rewrite,[status(thm)],[])).
% 1.13/1.00 tff(1232,plain,
% 1.13/1.00 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a230) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a199) | c0_1(a199) | (~c3_1(a199)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | c3_1(a230) | (~c0_1(a230)) | (~c1_1(a230)) | (~c3_1(a199))))),
% 1.13/1.00 inference(monotonicity,[status(thm)],[1231])).
% 1.13/1.00 tff(1233,plain,
% 1.13/1.00 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a230) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a199) | c0_1(a199) | (~c3_1(a199)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | c3_1(a230) | (~c0_1(a230)) | (~c1_1(a230)) | (~c3_1(a199)))),
% 1.13/1.00 inference(transitivity,[status(thm)],[1232, 1230])).
% 1.13/1.00 tff(1234,plain,
% 1.13/1.00 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a230) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a199) | c0_1(a199) | (~c3_1(a199)))),
% 1.13/1.00 inference(quant_inst,[status(thm)],[])).
% 1.13/1.00 tff(1235,plain,
% 1.13/1.00 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a199) | c1_1(a199) | (~ndr1_0) | c3_1(a230) | (~c0_1(a230)) | (~c1_1(a230)) | (~c3_1(a199))),
% 1.13/1.00 inference(modus_ponens,[status(thm)],[1234, 1233])).
% 1.13/1.00 tff(1236,plain,
% 1.13/1.00 (~c3_1(a199)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1235, 160, 14, 1211, 1210, 708, 702, 1229, 1219])).
% 1.13/1.00 tff(1237,plain,
% 1.13/1.00 ($false),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[714, 160, 108, 708, 702, 118, 1236])).
% 1.13/1.00 tff(1238,plain,(hskp1 | hskp2 | (~c0_1(a230)) | (~c1_1(a230))), inference(lemma,lemma(discharge,[]))).
% 1.13/1.00 tff(1239,plain,
% 1.13/1.00 (hskp1),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1238, 1165, 1177, 1199])).
% 1.13/1.00 tff(1240,plain,
% 1.13/1.00 (~c3_1(a190)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1142, 1239])).
% 1.13/1.00 tff(1241,plain,
% 1.13/1.00 (hskp1),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1238, 14, 1211, 1210])).
% 1.13/1.00 tff(1242,plain,
% 1.13/1.00 (~c3_1(a190)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1142, 1241])).
% 1.13/1.00 tff(1243,plain,
% 1.13/1.00 (c0_1(a190)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[218, 1241])).
% 1.13/1.00 tff(1244,plain,
% 1.13/1.00 (c2_1(a190)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[207, 1241])).
% 1.13/1.00 tff(1245,plain,
% 1.13/1.00 (hskp19),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[920, 616, 614, 1244, 615, 1243, 1242])).
% 1.13/1.00 tff(1246,plain,
% 1.13/1.00 (~c1_1(a225)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[459, 1245])).
% 1.13/1.00 tff(1247,plain,
% 1.13/1.00 (~c0_1(a225)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[253, 1245])).
% 1.13/1.00 tff(1248,plain,
% 1.13/1.00 (c3_1(a225)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[247, 1245])).
% 1.13/1.00 tff(1249,assumption,(~c3_1(a230)), introduced(assumption)).
% 1.13/1.00 tff(1250,plain,
% 1.13/1.00 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | c0_1(a225) | c1_1(a225) | (~ndr1_0) | c3_1(a230) | (~c0_1(a230)) | (~c1_1(a230)) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a225) | c1_1(a225) | (~ndr1_0) | c3_1(a230) | (~c0_1(a230)) | (~c1_1(a230)) | (~c3_1(a225)))),
% 1.13/1.00 inference(rewrite,[status(thm)],[])).
% 1.13/1.00 tff(1251,plain,
% 1.13/1.00 ((hskp2 | (~ndr1_0) | c3_1(a230) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a225) | c0_1(a225) | (~c3_1(a225))) <=> (hskp2 | c0_1(a225) | c1_1(a225) | (~ndr1_0) | c3_1(a230) | (~c0_1(a230)) | (~c1_1(a230)) | (~c3_1(a225)))),
% 1.13/1.00 inference(rewrite,[status(thm)],[])).
% 1.13/1.00 tff(1252,plain,
% 1.13/1.00 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a230) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | c0_1(a225) | c1_1(a225) | (~ndr1_0) | c3_1(a230) | (~c0_1(a230)) | (~c1_1(a230)) | (~c3_1(a225))))),
% 1.13/1.00 inference(monotonicity,[status(thm)],[1251])).
% 1.13/1.00 tff(1253,plain,
% 1.13/1.00 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a230) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a225) | c1_1(a225) | (~ndr1_0) | c3_1(a230) | (~c0_1(a230)) | (~c1_1(a230)) | (~c3_1(a225)))),
% 1.13/1.00 inference(transitivity,[status(thm)],[1252, 1250])).
% 1.13/1.00 tff(1254,plain,
% 1.13/1.00 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a230) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a225) | c0_1(a225) | (~c3_1(a225)))),
% 1.13/1.00 inference(quant_inst,[status(thm)],[])).
% 1.13/1.00 tff(1255,plain,
% 1.13/1.00 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a225) | c1_1(a225) | (~ndr1_0) | c3_1(a230) | (~c0_1(a230)) | (~c1_1(a230)) | (~c3_1(a225))),
% 1.13/1.00 inference(modus_ponens,[status(thm)],[1254, 1253])).
% 1.13/1.00 tff(1256,plain,
% 1.13/1.00 ($false),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1255, 160, 14, 1211, 1210, 255, 256, 475, 1229, 1249])).
% 1.13/1.00 tff(1257,plain,(c3_1(a230) | hskp2 | (~c0_1(a230)) | (~c1_1(a230)) | (~c3_1(a225)) | c0_1(a225) | c1_1(a225)), inference(lemma,lemma(discharge,[]))).
% 1.13/1.00 tff(1258,plain,
% 1.13/1.00 (c3_1(a230)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1257, 1248, 1211, 1210, 14, 1247, 1246])).
% 1.13/1.00 tff(1259,assumption,(c2_1(a230)), introduced(assumption)).
% 1.13/1.00 tff(1260,plain,
% 1.13/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a195)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a195)))),
% 1.13/1.00 inference(rewrite,[status(thm)],[])).
% 1.13/1.00 tff(1261,plain,
% 1.13/1.00 (((~ndr1_0) | (~c3_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a195) | c3_1(a195) | (~c0_1(a195))) <=> (c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a195)))),
% 1.13/1.00 inference(rewrite,[status(thm)],[])).
% 1.13/1.00 tff(1262,plain,
% 1.13/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a195) | c3_1(a195) | (~c0_1(a195)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a195))))),
% 1.13/1.00 inference(monotonicity,[status(thm)],[1261])).
% 1.13/1.00 tff(1263,plain,
% 1.13/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a195) | c3_1(a195) | (~c0_1(a195)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a195)))),
% 1.13/1.00 inference(transitivity,[status(thm)],[1262, 1260])).
% 1.13/1.00 tff(1264,plain,
% 1.13/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a195) | c3_1(a195) | (~c0_1(a195)))),
% 1.13/1.00 inference(quant_inst,[status(thm)],[])).
% 1.13/1.00 tff(1265,plain,
% 1.13/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c1_1(a195) | c3_1(a195) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a195))),
% 1.13/1.00 inference(modus_ponens,[status(thm)],[1264, 1263])).
% 1.13/1.00 tff(1266,plain,
% 1.13/1.00 ($false),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1265, 160, 1211, 1210, 1259, 616, 615, 614, 512, 1258])).
% 1.13/1.00 tff(1267,plain,((~c0_1(a195)) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a230)) | c1_1(a195) | c3_1(a195) | hskp2), inference(lemma,lemma(discharge,[]))).
% 1.13/1.00 tff(1268,plain,
% 1.13/1.00 (~c0_1(a195)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1267, 615, 1199, 1188, 1177, 614, 1165])).
% 1.13/1.00 tff(1269,assumption,(~hskp6), introduced(assumption)).
% 1.13/1.00 tff(1270,assumption,(~c0_1(a194)), introduced(assumption)).
% 1.13/1.00 tff(1271,plain,
% 1.13/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a194) | c1_1(a195) | c3_1(a195) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a194)) | (~c2_1(a195)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a194) | c1_1(a195) | c3_1(a195) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a194)) | (~c2_1(a195)))),
% 1.13/1.00 inference(rewrite,[status(thm)],[])).
% 1.13/1.00 tff(1272,plain,
% 1.13/1.00 (((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195)) | c2_1(a194) | c0_1(a194) | (~c3_1(a194))) <=> (c0_1(a194) | c1_1(a195) | c3_1(a195) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a194)) | (~c2_1(a195)))),
% 1.13/1.00 inference(rewrite,[status(thm)],[])).
% 1.13/1.00 tff(1273,plain,
% 1.13/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195)) | c2_1(a194) | c0_1(a194) | (~c3_1(a194)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a194) | c1_1(a195) | c3_1(a195) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a194)) | (~c2_1(a195))))),
% 1.13/1.00 inference(monotonicity,[status(thm)],[1272])).
% 1.13/1.00 tff(1274,plain,
% 1.13/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195)) | c2_1(a194) | c0_1(a194) | (~c3_1(a194)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a194) | c1_1(a195) | c3_1(a195) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a194)) | (~c2_1(a195)))),
% 1.13/1.00 inference(transitivity,[status(thm)],[1273, 1271])).
% 1.13/1.00 tff(1275,plain,
% 1.13/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195)) | c2_1(a194) | c0_1(a194) | (~c3_1(a194)))),
% 1.13/1.00 inference(quant_inst,[status(thm)],[])).
% 1.13/1.00 tff(1276,plain,
% 1.13/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a194) | c1_1(a195) | c3_1(a195) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a194)) | (~c2_1(a195))),
% 1.13/1.00 inference(modus_ponens,[status(thm)],[1275, 1274])).
% 1.13/1.00 tff(1277,plain,
% 1.13/1.00 (c0_1(a194) | (~c3_1(a194)) | (~c2_1(a195))),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1276, 160, 892, 847, 615, 614, 11, 13, 493])).
% 1.13/1.00 tff(1278,plain,
% 1.13/1.00 (~c3_1(a194)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1277, 1270, 995])).
% 1.13/1.00 tff(1279,plain,
% 1.13/1.00 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | c0_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c0_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194))),
% 1.13/1.00 inference(rewrite,[status(thm)],[])).
% 1.13/1.00 tff(1280,plain,
% 1.13/1.00 ((hskp6 | (~ndr1_0) | c3_1(a194) | c0_1(a194) | c2_1(a194)) <=> (hskp6 | c0_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194))),
% 1.13/1.00 inference(rewrite,[status(thm)],[])).
% 1.13/1.00 tff(1281,plain,
% 1.13/1.00 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a194) | c0_1(a194) | c2_1(a194))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | c0_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194)))),
% 1.13/1.00 inference(monotonicity,[status(thm)],[1280])).
% 1.13/1.00 tff(1282,plain,
% 1.13/1.00 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a194) | c0_1(a194) | c2_1(a194))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c0_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194))),
% 1.13/1.00 inference(transitivity,[status(thm)],[1281, 1279])).
% 1.13/1.00 tff(1283,plain,
% 1.13/1.00 ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a194) | c0_1(a194) | c2_1(a194))),
% 1.13/1.00 inference(quant_inst,[status(thm)],[])).
% 1.13/1.00 tff(1284,plain,
% 1.13/1.00 ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c0_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194)),
% 1.13/1.00 inference(modus_ponens,[status(thm)],[1283, 1282])).
% 1.13/1.00 tff(1285,plain,
% 1.13/1.00 (hskp6 | c0_1(a194) | c3_1(a194)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1284, 160, 11, 581])).
% 1.13/1.00 tff(1286,plain,
% 1.13/1.00 ($false),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1285, 1278, 1270, 1269])).
% 1.13/1.00 tff(1287,plain,(c0_1(a194) | hskp6 | c2_1(a194) | (~c2_1(a195)) | (~c0_1(a190)) | (~c2_1(a190)) | c1_1(a195) | c3_1(a195) | c3_1(a190)), inference(lemma,lemma(discharge,[]))).
% 1.13/1.00 tff(1288,plain,
% 1.13/1.00 (c0_1(a194)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1287, 835, 11, 843, 1243, 1244, 615, 614, 1242])).
% 1.13/1.00 tff(1289,plain,
% 1.13/1.00 (hskp19 | c1_1(a195) | (~c2_1(a195))),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[853, 160, 1243, 1244, 614, 1242, 229])).
% 1.13/1.00 tff(1290,plain,
% 1.13/1.00 (hskp19),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1289, 843, 615])).
% 1.13/1.00 tff(1291,plain,
% 1.13/1.00 (~c1_1(a225)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[459, 1290])).
% 1.13/1.00 tff(1292,plain,
% 1.13/1.00 (~c0_1(a225)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[253, 1290])).
% 1.13/1.00 tff(1293,plain,
% 1.13/1.00 (c3_1(a225)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[247, 1290])).
% 1.13/1.00 tff(1294,plain,
% 1.13/1.00 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | c0_1(a225) | c1_1(a225) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a225) | c1_1(a225) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a225)))),
% 1.13/1.00 inference(rewrite,[status(thm)],[])).
% 1.13/1.00 tff(1295,plain,
% 1.13/1.00 ((hskp2 | (~ndr1_0) | c3_1(a190) | (~c1_1(a190)) | (~c0_1(a190)) | c1_1(a225) | c0_1(a225) | (~c3_1(a225))) <=> (hskp2 | c0_1(a225) | c1_1(a225) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a225)))),
% 1.13/1.00 inference(rewrite,[status(thm)],[])).
% 1.13/1.00 tff(1296,plain,
% 1.13/1.00 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a190) | (~c1_1(a190)) | (~c0_1(a190)) | c1_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | c0_1(a225) | c1_1(a225) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a225))))),
% 1.13/1.00 inference(monotonicity,[status(thm)],[1295])).
% 1.13/1.00 tff(1297,plain,
% 1.13/1.00 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a190) | (~c1_1(a190)) | (~c0_1(a190)) | c1_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a225) | c1_1(a225) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a225)))),
% 1.13/1.00 inference(transitivity,[status(thm)],[1296, 1294])).
% 1.13/1.00 tff(1298,plain,
% 1.13/1.00 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a190) | (~c1_1(a190)) | (~c0_1(a190)) | c1_1(a225) | c0_1(a225) | (~c3_1(a225)))),
% 1.13/1.00 inference(quant_inst,[status(thm)],[])).
% 1.13/1.00 tff(1299,plain,
% 1.13/1.00 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a225) | c1_1(a225) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a225))),
% 1.13/1.00 inference(modus_ponens,[status(thm)],[1298, 1297])).
% 1.13/1.00 tff(1300,plain,
% 1.13/1.00 (~c1_1(a190)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1299, 160, 14, 1293, 1243, 1292, 1291, 1242, 1229])).
% 1.13/1.00 tff(1301,assumption,(~c1_1(a190)), introduced(assumption)).
% 1.13/1.00 tff(1302,assumption,(hskp24), introduced(assumption)).
% 1.13/1.00 tff(1303,plain,
% 1.13/1.00 (c3_1(a215)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[372, 1302])).
% 1.13/1.00 tff(1304,plain,
% 1.13/1.00 (c2_1(a215)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[383, 1302])).
% 1.13/1.00 tff(1305,plain,
% 1.13/1.00 (c1_1(a215)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[394, 1302])).
% 1.13/1.00 tff(1306,plain,
% 1.13/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190) | (~c0_1(a215)) | (~c1_1(a215)) | (~c2_1(a215)) | (~c3_1(a215)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190) | (~c0_1(a215)) | (~c1_1(a215)) | (~c2_1(a215)) | (~c3_1(a215)))),
% 1.13/1.00 inference(rewrite,[status(thm)],[])).
% 1.13/1.00 tff(1307,plain,
% 1.13/1.00 (((~ndr1_0) | (~c3_1(a215)) | (~c2_1(a215)) | (~c0_1(a215)) | (~c3_1(a215)) | (~c1_1(a215)) | (~c0_1(a215)) | c1_1(a190) | c3_1(a190) | (~c0_1(a190))) <=> (c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190) | (~c0_1(a215)) | (~c1_1(a215)) | (~c2_1(a215)) | (~c3_1(a215)))),
% 1.13/1.00 inference(rewrite,[status(thm)],[])).
% 1.13/1.00 tff(1308,plain,
% 1.13/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a215)) | (~c2_1(a215)) | (~c0_1(a215)) | (~c3_1(a215)) | (~c1_1(a215)) | (~c0_1(a215)) | c1_1(a190) | c3_1(a190) | (~c0_1(a190)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190) | (~c0_1(a215)) | (~c1_1(a215)) | (~c2_1(a215)) | (~c3_1(a215))))),
% 1.13/1.00 inference(monotonicity,[status(thm)],[1307])).
% 1.13/1.00 tff(1309,plain,
% 1.13/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a215)) | (~c2_1(a215)) | (~c0_1(a215)) | (~c3_1(a215)) | (~c1_1(a215)) | (~c0_1(a215)) | c1_1(a190) | c3_1(a190) | (~c0_1(a190)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190) | (~c0_1(a215)) | (~c1_1(a215)) | (~c2_1(a215)) | (~c3_1(a215)))),
% 1.13/1.00 inference(transitivity,[status(thm)],[1308, 1306])).
% 1.13/1.00 tff(1310,plain,
% 1.13/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a215)) | (~c2_1(a215)) | (~c0_1(a215)) | (~c3_1(a215)) | (~c1_1(a215)) | (~c0_1(a215)) | c1_1(a190) | c3_1(a190) | (~c0_1(a190)))),
% 1.13/1.00 inference(quant_inst,[status(thm)],[])).
% 1.13/1.00 tff(1311,plain,
% 1.13/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190) | (~c0_1(a215)) | (~c1_1(a215)) | (~c2_1(a215)) | (~c3_1(a215))),
% 1.13/1.00 inference(modus_ponens,[status(thm)],[1310, 1309])).
% 1.13/1.00 tff(1312,plain,
% 1.13/1.00 (~c0_1(a215)),
% 1.13/1.00 inference(unit_resolution,[status(thm)],[1311, 160, 1305, 1304, 1303, 892, 13, 512, 1301])).
% 1.13/1.00 tff(1313,plain,
% 1.13/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a195) | c1_1(a195) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a195)) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a195) | c1_1(a195) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a195)) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1314,plain,
% 1.13/1.01 (((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a215) | (~c3_1(a215)) | (~c1_1(a215)) | c1_1(a195) | c0_1(a195) | (~c2_1(a195))) <=> (c0_1(a195) | c1_1(a195) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a195)) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1315,plain,
% 1.13/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a215) | (~c3_1(a215)) | (~c1_1(a215)) | c1_1(a195) | c0_1(a195) | (~c2_1(a195)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a195) | c1_1(a195) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a195)) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215))))),
% 1.13/1.01 inference(monotonicity,[status(thm)],[1314])).
% 1.13/1.01 tff(1316,plain,
% 1.13/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a215) | (~c3_1(a215)) | (~c1_1(a215)) | c1_1(a195) | c0_1(a195) | (~c2_1(a195)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a195) | c1_1(a195) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a195)) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)))),
% 1.13/1.01 inference(transitivity,[status(thm)],[1315, 1313])).
% 1.13/1.01 tff(1317,plain,
% 1.13/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a215) | (~c3_1(a215)) | (~c1_1(a215)) | c1_1(a195) | c0_1(a195) | (~c2_1(a195)))),
% 1.13/1.01 inference(quant_inst,[status(thm)],[])).
% 1.13/1.01 tff(1318,plain,
% 1.13/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a195) | c1_1(a195) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a195)) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215))),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1317, 1316])).
% 1.13/1.01 tff(1319,plain,
% 1.13/1.01 ($false),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[1318, 160, 1305, 1303, 834, 736, 615, 12, 11, 65, 995, 1312])).
% 1.13/1.01 tff(1320,plain,((~hskp24) | c0_1(a195) | (~c0_1(a194)) | c1_1(a195) | c1_1(a194) | c2_1(a194) | (~c2_1(a195)) | (~c0_1(a190)) | c3_1(a190) | c1_1(a190)), inference(lemma,lemma(discharge,[]))).
% 1.13/1.01 tff(1321,plain,
% 1.13/1.01 (~hskp24),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[1320, 834, 1288, 615, 12, 11, 843, 1243, 1242, 1300])).
% 1.13/1.01 tff(1322,plain,
% 1.13/1.01 (((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp24 | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp24 | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a194)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1323,plain,
% 1.13/1.01 ((hskp24 | (~ndr1_0) | c1_1(a194) | (~c3_1(a194)) | (~c0_1(a194)) | c1_1(a194) | c2_1(a194) | (~c0_1(a194))) <=> (hskp24 | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a194)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1324,plain,
% 1.13/1.01 (((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp24 | (~ndr1_0) | c1_1(a194) | (~c3_1(a194)) | (~c0_1(a194)) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp24 | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a194))))),
% 1.13/1.01 inference(monotonicity,[status(thm)],[1323])).
% 1.13/1.01 tff(1325,plain,
% 1.13/1.01 (((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp24 | (~ndr1_0) | c1_1(a194) | (~c3_1(a194)) | (~c0_1(a194)) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp24 | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a194)))),
% 1.13/1.01 inference(transitivity,[status(thm)],[1324, 1322])).
% 1.13/1.01 tff(1326,plain,
% 1.13/1.01 ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp24 | (~ndr1_0) | c1_1(a194) | (~c3_1(a194)) | (~c0_1(a194)) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)))),
% 1.13/1.01 inference(quant_inst,[status(thm)],[])).
% 1.13/1.01 tff(1327,plain,
% 1.13/1.01 ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp24 | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a194))),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1326, 1325])).
% 1.13/1.01 tff(1328,plain,
% 1.13/1.01 (hskp24 | c2_1(a194) | (~c3_1(a194)) | (~c0_1(a194))),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[1327, 160, 12, 353])).
% 1.13/1.01 tff(1329,plain,
% 1.13/1.01 (~c3_1(a194)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[1328, 1321, 11, 1288])).
% 1.13/1.01 tff(1330,plain,
% 1.13/1.01 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W))))),
% 1.13/1.01 inference(bind,[status(th)],[])).
% 1.13/1.01 tff(1331,plain,
% 1.13/1.01 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))),
% 1.13/1.01 inference(quant_intro,[status(thm)],[1330])).
% 1.13/1.01 tff(1332,plain,
% 1.13/1.01 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1333,plain,
% 1.13/1.01 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) <=> ((~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> (((~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c0_1(W))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c0_1(W)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c0_1(W))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | (~c2_1(W))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c0_1(W))) | (~c2_1(W))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c0_1(W))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W)) | (~c0_1(W)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W)) | (~c0_1(W))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | (~c2_1(W))) | c2_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W)) | (~c0_1(W))) | c2_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W)) | (~c0_1(W))) | c2_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c2_1(W)) | (~c0_1(W)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | (~c2_1(W))) | c2_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c2_1(W)) | (~c0_1(W))))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c2_1(W)) | (~c0_1(W))) | c3_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c2_1(W)) | (~c0_1(W))) | c3_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c2_1(W)) | (~c0_1(W)))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c2_1(W)) | (~c0_1(W))))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c2_1(W)) | (~c0_1(W))) | c1_1(W)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c2_1(W)) | (~c0_1(W))) | c1_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))))),
% 1.13/1.01 inference(bind,[status(th)],[])).
% 1.13/1.01 tff(1334,plain,
% 1.13/1.01 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))),
% 1.13/1.01 inference(quant_intro,[status(thm)],[1333])).
% 1.13/1.01 tff(1335,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause160')).
% 1.13/1.01 tff(1336,plain,
% 1.13/1.01 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1335, 1334])).
% 1.13/1.01 tff(1337,plain,
% 1.13/1.01 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1336, 1332])).
% 1.13/1.01 tff(1338,plain,(
% 1.13/1.01 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))),
% 1.13/1.01 inference(skolemize,[status(sab)],[1337])).
% 1.13/1.01 tff(1339,plain,
% 1.13/1.01 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1338, 1331])).
% 1.13/1.01 tff(1340,plain,
% 1.13/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))) | (c2_1(a194) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | c3_1(a194) | (~c0_1(a194)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))) | c2_1(a194) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | c3_1(a194) | (~c0_1(a194)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1341,plain,
% 1.13/1.01 (((~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c3_1(a194) | c2_1(a194) | (~c0_1(a194)) | c1_1(a190) | (~c2_1(a190)) | (~c0_1(a190))) <=> (c2_1(a194) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | c3_1(a194) | (~c0_1(a194)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1342,plain,
% 1.13/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))) | ((~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c3_1(a194) | c2_1(a194) | (~c0_1(a194)) | c1_1(a190) | (~c2_1(a190)) | (~c0_1(a190)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))) | (c2_1(a194) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | c3_1(a194) | (~c0_1(a194))))),
% 1.13/1.01 inference(monotonicity,[status(thm)],[1341])).
% 1.13/1.01 tff(1343,plain,
% 1.13/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))) | ((~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c3_1(a194) | c2_1(a194) | (~c0_1(a194)) | c1_1(a190) | (~c2_1(a190)) | (~c0_1(a190)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))) | c2_1(a194) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | c3_1(a194) | (~c0_1(a194)))),
% 1.13/1.01 inference(transitivity,[status(thm)],[1342, 1340])).
% 1.13/1.01 tff(1344,plain,
% 1.13/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))) | ((~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c3_1(a194) | c2_1(a194) | (~c0_1(a194)) | c1_1(a190) | (~c2_1(a190)) | (~c0_1(a190)))),
% 1.13/1.01 inference(quant_inst,[status(thm)],[])).
% 1.13/1.01 tff(1345,plain,
% 1.13/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)) | (~c0_1(W)))) | c2_1(a194) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | c3_1(a194) | (~c0_1(a194))),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1344, 1343])).
% 1.13/1.01 tff(1346,plain,
% 1.13/1.01 ($false),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[1345, 160, 1211, 1210, 1259, 1288, 1243, 1244, 11, 1339, 1300, 1329])).
% 1.13/1.01 tff(1347,plain,(c0_1(a195) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a230)) | c2_1(a194) | c1_1(a194) | c1_1(a195) | c3_1(a195) | hskp2), inference(lemma,lemma(discharge,[]))).
% 1.13/1.01 tff(1348,plain,
% 1.13/1.01 (c1_1(a194)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[1347, 834, 1199, 1188, 1177, 11, 615, 614, 1165])).
% 1.13/1.01 tff(1349,plain,
% 1.13/1.01 (~hskp5),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[644, 1348])).
% 1.13/1.01 tff(1350,plain,
% 1.13/1.01 (hskp21),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[83, 1349, 36])).
% 1.13/1.01 tff(1351,plain,
% 1.13/1.01 (~c3_1(a257)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[95, 1350])).
% 1.13/1.01 tff(1352,plain,
% 1.13/1.01 (~c1_1(a257)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[89, 1350])).
% 1.13/1.01 tff(1353,plain,
% 1.13/1.01 (c2_1(a190)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[207, 1239])).
% 1.13/1.01 tff(1354,plain,
% 1.13/1.01 (c0_1(a190)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[218, 1239])).
% 1.13/1.01 tff(1355,plain,
% 1.13/1.01 (c2_1(a257)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[106, 1350])).
% 1.13/1.01 tff(1356,assumption,(~c2_1(a225)), introduced(assumption)).
% 1.13/1.01 tff(1357,plain,
% 1.13/1.01 (hskp19),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[235, 160, 187, 892, 847, 120, 119, 13, 229])).
% 1.13/1.01 tff(1358,plain,
% 1.13/1.01 (~c0_1(a225)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[253, 1357])).
% 1.13/1.01 tff(1359,plain,
% 1.13/1.01 (c3_1(a225)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[247, 1357])).
% 1.13/1.01 tff(1360,plain,
% 1.13/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c1_1(a257) | c3_1(a257) | c0_1(a225) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c2_1(a225) | (~c3_1(a225)) | (~c2_1(a257)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c1_1(a257) | c3_1(a257) | c0_1(a225) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c2_1(a225) | (~c3_1(a225)) | (~c2_1(a257)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1361,plain,
% 1.13/1.01 (((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225))) <=> (c1_1(a257) | c3_1(a257) | c0_1(a225) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c2_1(a225) | (~c3_1(a225)) | (~c2_1(a257)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1362,plain,
% 1.13/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c1_1(a257) | c3_1(a257) | c0_1(a225) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c2_1(a225) | (~c3_1(a225)) | (~c2_1(a257))))),
% 1.13/1.01 inference(monotonicity,[status(thm)],[1361])).
% 1.13/1.01 tff(1363,plain,
% 1.13/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c1_1(a257) | c3_1(a257) | c0_1(a225) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c2_1(a225) | (~c3_1(a225)) | (~c2_1(a257)))),
% 1.13/1.01 inference(transitivity,[status(thm)],[1362, 1360])).
% 1.13/1.01 tff(1364,plain,
% 1.13/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))),
% 1.13/1.01 inference(quant_inst,[status(thm)],[])).
% 1.13/1.01 tff(1365,plain,
% 1.13/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c1_1(a257) | c3_1(a257) | c0_1(a225) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c2_1(a225) | (~c3_1(a225)) | (~c2_1(a257))),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1364, 1363])).
% 1.13/1.01 tff(1366,plain,
% 1.13/1.01 ($false),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[1365, 160, 187, 1359, 892, 847, 120, 119, 1358, 13, 493, 1356])).
% 1.13/1.01 tff(1367,plain,(c2_1(a225) | (~c2_1(a257)) | (~c0_1(a190)) | (~c2_1(a190)) | c1_1(a257) | c3_1(a257) | c3_1(a190)), inference(lemma,lemma(discharge,[]))).
% 1.13/1.01 tff(1368,plain,
% 1.13/1.01 (c2_1(a225)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[1367, 1355, 1354, 1353, 1352, 1351, 1240])).
% 1.13/1.01 tff(1369,plain,
% 1.13/1.01 (^[V: $i, U: $i] : refl((hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V))) <=> (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V))))),
% 1.13/1.01 inference(bind,[status(th)],[])).
% 1.13/1.01 tff(1370,plain,
% 1.13/1.01 (![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))),
% 1.13/1.01 inference(quant_intro,[status(thm)],[1369])).
% 1.13/1.01 tff(1371,plain,
% 1.13/1.01 (![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1372,plain,
% 1.13/1.01 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) <=> ((~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> (((~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c2_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c2_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) | hskp7) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V))) | hskp7))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V))) | hskp7) <=> (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) | hskp7) <=> (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))))),
% 1.13/1.01 inference(bind,[status(th)],[])).
% 1.13/1.01 tff(1373,plain,
% 1.13/1.01 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) | hskp7) <=> ![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))),
% 1.13/1.01 inference(quant_intro,[status(thm)],[1372])).
% 1.13/1.01 tff(1374,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c0_1(V)) | hskp7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause153')).
% 1.13/1.01 tff(1375,plain,
% 1.13/1.01 (![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1374, 1373])).
% 1.13/1.01 tff(1376,plain,
% 1.13/1.01 (![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1375, 1371])).
% 1.13/1.01 tff(1377,plain,(
% 1.13/1.01 ![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))),
% 1.13/1.01 inference(skolemize,[status(sab)],[1376])).
% 1.13/1.01 tff(1378,plain,
% 1.13/1.01 (![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1377, 1370])).
% 1.13/1.01 tff(1379,plain,
% 1.13/1.01 (hskp19 | c1_1(a195) | (~c2_1(a195))),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[853, 160, 1354, 1353, 614, 1240, 229])).
% 1.13/1.01 tff(1380,plain,
% 1.13/1.01 (hskp19),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[1379, 843, 615])).
% 1.13/1.01 tff(1381,plain,
% 1.13/1.01 (~c0_1(a225)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[253, 1380])).
% 1.13/1.01 tff(1382,plain,
% 1.13/1.01 (c3_1(a225)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[247, 1380])).
% 1.13/1.01 tff(1383,assumption,(hskp7), introduced(assumption)).
% 1.13/1.01 tff(1384,plain,
% 1.13/1.01 (((~hskp7) | (~c0_1(a197))) <=> ((~hskp7) | (~c0_1(a197)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1385,plain,
% 1.13/1.01 (((~c0_1(a197)) | (~hskp7)) <=> ((~hskp7) | (~c0_1(a197)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1386,axiom,((~c0_1(a197)) | (~hskp7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause96')).
% 1.13/1.01 tff(1387,plain,
% 1.13/1.01 ((~hskp7) | (~c0_1(a197))),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1386, 1385])).
% 1.13/1.01 tff(1388,plain,
% 1.13/1.01 ((~hskp7) | (~c0_1(a197))),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1387, 1384])).
% 1.13/1.01 tff(1389,plain,
% 1.13/1.01 (~c0_1(a197)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[1388, 1383])).
% 1.13/1.01 tff(1390,plain,
% 1.13/1.01 (((~hskp7) | (~c2_1(a197))) <=> ((~hskp7) | (~c2_1(a197)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1391,plain,
% 1.13/1.01 (((~c2_1(a197)) | (~hskp7)) <=> ((~hskp7) | (~c2_1(a197)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1392,axiom,((~c2_1(a197)) | (~hskp7)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause97')).
% 1.13/1.01 tff(1393,plain,
% 1.13/1.01 ((~hskp7) | (~c2_1(a197))),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1392, 1391])).
% 1.13/1.01 tff(1394,plain,
% 1.13/1.01 ((~hskp7) | (~c2_1(a197))),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1393, 1390])).
% 1.13/1.01 tff(1395,plain,
% 1.13/1.01 (~c2_1(a197)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[1394, 1383])).
% 1.13/1.01 tff(1396,plain,
% 1.13/1.01 (c2_1(a190)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[207, 845])).
% 1.13/1.01 tff(1397,assumption,(~c0_1(a197)), introduced(assumption)).
% 1.13/1.01 tff(1398,assumption,(~c2_1(a197)), introduced(assumption)).
% 1.13/1.01 tff(1399,plain,
% 1.13/1.01 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | c0_1(a197) | c2_1(a197) | (~ndr1_0) | c3_1(a197))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c0_1(a197) | c2_1(a197) | (~ndr1_0) | c3_1(a197))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1400,plain,
% 1.13/1.01 ((hskp6 | (~ndr1_0) | c3_1(a197) | c0_1(a197) | c2_1(a197)) <=> (hskp6 | c0_1(a197) | c2_1(a197) | (~ndr1_0) | c3_1(a197))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1401,plain,
% 1.13/1.01 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a197) | c0_1(a197) | c2_1(a197))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | c0_1(a197) | c2_1(a197) | (~ndr1_0) | c3_1(a197)))),
% 1.13/1.01 inference(monotonicity,[status(thm)],[1400])).
% 1.13/1.01 tff(1402,plain,
% 1.13/1.01 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a197) | c0_1(a197) | c2_1(a197))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c0_1(a197) | c2_1(a197) | (~ndr1_0) | c3_1(a197))),
% 1.13/1.01 inference(transitivity,[status(thm)],[1401, 1399])).
% 1.13/1.01 tff(1403,plain,
% 1.13/1.01 ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a197) | c0_1(a197) | c2_1(a197))),
% 1.13/1.01 inference(quant_inst,[status(thm)],[])).
% 1.13/1.01 tff(1404,plain,
% 1.13/1.01 ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c0_1(a197) | c2_1(a197) | (~ndr1_0) | c3_1(a197)),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1403, 1402])).
% 1.13/1.01 tff(1405,plain,
% 1.13/1.01 (hskp6 | c0_1(a197) | c3_1(a197)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[1404, 160, 1398, 581])).
% 1.13/1.01 tff(1406,plain,
% 1.13/1.01 (c3_1(a197)),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[1405, 835, 1397])).
% 1.13/1.01 tff(1407,plain,
% 1.13/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a197) | c2_1(a197) | c1_1(a195) | c3_1(a195) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a195)) | (~c3_1(a197)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a197) | c2_1(a197) | c1_1(a195) | c3_1(a195) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a195)) | (~c3_1(a197)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1408,plain,
% 1.13/1.01 (((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195)) | c2_1(a197) | c0_1(a197) | (~c3_1(a197))) <=> (c0_1(a197) | c2_1(a197) | c1_1(a195) | c3_1(a195) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a195)) | (~c3_1(a197)))),
% 1.13/1.01 inference(rewrite,[status(thm)],[])).
% 1.13/1.01 tff(1409,plain,
% 1.13/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195)) | c2_1(a197) | c0_1(a197) | (~c3_1(a197)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a197) | c2_1(a197) | c1_1(a195) | c3_1(a195) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a195)) | (~c3_1(a197))))),
% 1.13/1.01 inference(monotonicity,[status(thm)],[1408])).
% 1.13/1.01 tff(1410,plain,
% 1.13/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195)) | c2_1(a197) | c0_1(a197) | (~c3_1(a197)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a197) | c2_1(a197) | c1_1(a195) | c3_1(a195) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a195)) | (~c3_1(a197)))),
% 1.13/1.01 inference(transitivity,[status(thm)],[1409, 1407])).
% 1.13/1.01 tff(1411,plain,
% 1.13/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a195) | c1_1(a195) | (~c2_1(a195)) | c2_1(a197) | c0_1(a197) | (~c3_1(a197)))),
% 1.13/1.01 inference(quant_inst,[status(thm)],[])).
% 1.13/1.01 tff(1412,plain,
% 1.13/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a197) | c2_1(a197) | c1_1(a195) | c3_1(a195) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a195)) | (~c3_1(a197))),
% 1.13/1.01 inference(modus_ponens,[status(thm)],[1411, 1410])).
% 1.13/1.01 tff(1413,plain,
% 1.13/1.01 (c0_1(a197) | (~c2_1(a190)) | (~c0_1(a190)) | (~c2_1(a195)) | (~c3_1(a197))),
% 1.13/1.01 inference(unit_resolution,[status(thm)],[1412, 160, 1398, 615, 614, 13, 493])).
% 1.13/1.02 tff(1414,plain,
% 1.13/1.02 ($false),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1413, 1406, 843, 1397, 846, 1396])).
% 1.13/1.02 tff(1415,plain,(c0_1(a195) | c0_1(a197) | c2_1(a197) | c1_1(a195) | c3_1(a195) | c3_1(a190)), inference(lemma,lemma(discharge,[]))).
% 1.13/1.02 tff(1416,plain,
% 1.13/1.02 ($false),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1415, 1395, 1389, 834, 615, 614, 13])).
% 1.13/1.02 tff(1417,plain,((~hskp7) | c0_1(a195) | c1_1(a195) | c3_1(a195) | c3_1(a190)), inference(lemma,lemma(discharge,[]))).
% 1.13/1.02 tff(1418,plain,
% 1.13/1.02 (~hskp7),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1417, 834, 615, 614, 1240])).
% 1.13/1.02 tff(1419,plain,
% 1.13/1.02 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | (hskp7 | c0_1(a225) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a225)) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | hskp7 | c0_1(a225) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a225)) | (~c3_1(a225)))),
% 1.13/1.02 inference(rewrite,[status(thm)],[])).
% 1.13/1.02 tff(1420,plain,
% 1.13/1.02 ((hskp7 | (~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225))) <=> (hskp7 | c0_1(a225) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a225)) | (~c3_1(a225)))),
% 1.13/1.02 inference(rewrite,[status(thm)],[])).
% 1.13/1.02 tff(1421,plain,
% 1.13/1.02 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | (hskp7 | (~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | (hskp7 | c0_1(a225) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a225)) | (~c3_1(a225))))),
% 1.13/1.02 inference(monotonicity,[status(thm)],[1420])).
% 1.13/1.02 tff(1422,plain,
% 1.13/1.02 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | (hskp7 | (~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | hskp7 | c0_1(a225) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a225)) | (~c3_1(a225)))),
% 1.13/1.02 inference(transitivity,[status(thm)],[1421, 1419])).
% 1.13/1.02 tff(1423,plain,
% 1.13/1.02 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | (hskp7 | (~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225)))),
% 1.13/1.02 inference(quant_inst,[status(thm)],[])).
% 1.13/1.02 tff(1424,plain,
% 1.13/1.02 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c2_1(V)))) | hskp7 | c0_1(a225) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a225)) | (~c3_1(a225))),
% 1.13/1.02 inference(modus_ponens,[status(thm)],[1423, 1422])).
% 1.13/1.02 tff(1425,plain,
% 1.13/1.02 ($false),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1424, 160, 1418, 1177, 1199, 1188, 1382, 1381, 1378, 1368])).
% 1.13/1.02 tff(1426,plain,(c0_1(a195) | hskp15 | c1_1(a195) | c3_1(a195) | c2_1(a194)), inference(lemma,lemma(discharge,[]))).
% 1.13/1.02 tff(1427,plain,
% 1.13/1.02 (c2_1(a194)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1426, 1268, 615, 614, 36])).
% 1.13/1.02 tff(1428,plain,
% 1.13/1.02 (~hskp5),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[638, 1427])).
% 1.13/1.02 tff(1429,plain,
% 1.13/1.02 (hskp21),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[83, 1428, 36])).
% 1.13/1.02 tff(1430,plain,
% 1.13/1.02 (~c3_1(a257)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[95, 1429])).
% 1.13/1.02 tff(1431,plain,
% 1.13/1.02 (~c1_1(a257)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[89, 1429])).
% 1.13/1.02 tff(1432,plain,
% 1.13/1.02 (c2_1(a257)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[106, 1429])).
% 1.13/1.02 tff(1433,plain,
% 1.13/1.02 (c2_1(a225)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1367, 1432, 1354, 1353, 1431, 1430, 1240])).
% 1.13/1.02 tff(1434,plain,
% 1.13/1.02 (~hskp6),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[605, 1268])).
% 1.13/1.02 tff(1435,plain,
% 1.13/1.02 (c2_1(a195)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[842, 1434, 1268])).
% 1.13/1.02 tff(1436,plain,
% 1.13/1.02 (hskp19),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1379, 1435, 615])).
% 1.13/1.02 tff(1437,plain,
% 1.13/1.02 (~c0_1(a225)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[253, 1436])).
% 1.13/1.02 tff(1438,plain,
% 1.13/1.02 (c3_1(a225)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[247, 1436])).
% 1.13/1.02 tff(1439,plain,
% 1.13/1.02 (~hskp7),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1417, 1268, 615, 614, 1240])).
% 1.13/1.02 tff(1440,plain,
% 1.13/1.02 ($false),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1424, 160, 1439, 1177, 1199, 1188, 1438, 1437, 1378, 1433])).
% 1.13/1.02 tff(1441,plain,(c1_1(a195) | hskp15 | c3_1(a195)), inference(lemma,lemma(discharge,[]))).
% 1.13/1.02 tff(1442,plain,
% 1.13/1.02 (c1_1(a195)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1441, 614, 36])).
% 1.13/1.02 tff(1443,plain,
% 1.13/1.02 (c0_1(a194) | c3_1(a194)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1284, 160, 1007, 11, 581])).
% 1.13/1.02 tff(1444,plain,
% 1.13/1.02 (c3_1(a194)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1443, 1270])).
% 1.13/1.02 tff(1445,plain,
% 1.13/1.02 (c2_1(a195)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[842, 834, 1007])).
% 1.13/1.02 tff(1446,plain,
% 1.13/1.02 (hskp5),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[992, 1445, 1006, 834])).
% 1.13/1.02 tff(1447,plain,
% 1.13/1.02 (~c2_1(a194)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[638, 1446])).
% 1.13/1.02 tff(1448,plain,
% 1.13/1.02 (~c1_1(a194)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[644, 1446])).
% 1.13/1.02 tff(1449,plain,
% 1.13/1.02 (c0_1(a194)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[655, 1446])).
% 1.13/1.02 tff(1450,plain,
% 1.13/1.02 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | c0_1(a195) | (~c1_1(a195)) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a195)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp2 | c0_1(a195) | (~c1_1(a195)) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a195)))),
% 1.13/1.02 inference(rewrite,[status(thm)],[])).
% 1.13/1.02 tff(1451,plain,
% 1.13/1.02 ((hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a195) | (~c1_1(a195)) | (~c2_1(a195))) <=> (hskp2 | c0_1(a195) | (~c1_1(a195)) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a195)))),
% 1.13/1.02 inference(rewrite,[status(thm)],[])).
% 1.13/1.02 tff(1452,plain,
% 1.13/1.02 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a195) | (~c1_1(a195)) | (~c2_1(a195)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | c0_1(a195) | (~c1_1(a195)) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a195))))),
% 1.13/1.02 inference(monotonicity,[status(thm)],[1451])).
% 1.13/1.02 tff(1453,plain,
% 1.13/1.02 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a195) | (~c1_1(a195)) | (~c2_1(a195)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp2 | c0_1(a195) | (~c1_1(a195)) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a195)))),
% 1.13/1.02 inference(transitivity,[status(thm)],[1452, 1450])).
% 1.13/1.02 tff(1454,plain,
% 1.13/1.02 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a195) | (~c1_1(a195)) | (~c2_1(a195)))),
% 1.13/1.02 inference(quant_inst,[status(thm)],[])).
% 1.13/1.02 tff(1455,plain,
% 1.13/1.02 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp2 | c0_1(a195) | (~c1_1(a195)) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a195))),
% 1.13/1.02 inference(modus_ponens,[status(thm)],[1454, 1453])).
% 1.13/1.02 tff(1456,plain,
% 1.13/1.02 ($false),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1455, 160, 14, 834, 1449, 1006, 1448, 1447, 25, 1445])).
% 1.13/1.02 tff(1457,plain,(c0_1(a195) | hskp2 | (~c1_1(a195)) | c3_1(a195)), inference(lemma,lemma(discharge,[]))).
% 1.13/1.02 tff(1458,plain,
% 1.13/1.02 (c0_1(a195)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1457, 1006, 14, 614])).
% 1.13/1.02 tff(1459,plain,
% 1.13/1.02 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | c0_1(a194) | (~c1_1(a195)) | c3_1(a195) | c1_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a195)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a194) | (~c1_1(a195)) | c3_1(a195) | c1_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a195)))),
% 1.13/1.02 inference(rewrite,[status(thm)],[])).
% 1.13/1.02 tff(1460,plain,
% 1.13/1.02 ((hskp2 | (~ndr1_0) | c3_1(a195) | (~c1_1(a195)) | (~c0_1(a195)) | c1_1(a194) | c0_1(a194) | (~c3_1(a194))) <=> (hskp2 | c0_1(a194) | (~c1_1(a195)) | c3_1(a195) | c1_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a195)))),
% 1.13/1.02 inference(rewrite,[status(thm)],[])).
% 1.13/1.02 tff(1461,plain,
% 1.13/1.02 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a195) | (~c1_1(a195)) | (~c0_1(a195)) | c1_1(a194) | c0_1(a194) | (~c3_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | c0_1(a194) | (~c1_1(a195)) | c3_1(a195) | c1_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a195))))),
% 1.13/1.02 inference(monotonicity,[status(thm)],[1460])).
% 1.13/1.02 tff(1462,plain,
% 1.13/1.02 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a195) | (~c1_1(a195)) | (~c0_1(a195)) | c1_1(a194) | c0_1(a194) | (~c3_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a194) | (~c1_1(a195)) | c3_1(a195) | c1_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a195)))),
% 1.13/1.02 inference(transitivity,[status(thm)],[1461, 1459])).
% 1.13/1.02 tff(1463,plain,
% 1.13/1.02 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a195) | (~c1_1(a195)) | (~c0_1(a195)) | c1_1(a194) | c0_1(a194) | (~c3_1(a194)))),
% 1.13/1.02 inference(quant_inst,[status(thm)],[])).
% 1.13/1.02 tff(1464,plain,
% 1.13/1.02 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a194) | (~c1_1(a195)) | c3_1(a195) | c1_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a195))),
% 1.13/1.02 inference(modus_ponens,[status(thm)],[1463, 1462])).
% 1.13/1.02 tff(1465,plain,
% 1.13/1.02 (c0_1(a194) | (~c3_1(a194))),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1464, 160, 14, 1458, 1006, 614, 12, 1229])).
% 1.13/1.02 tff(1466,plain,
% 1.13/1.02 ($false),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1465, 1444, 1270])).
% 1.13/1.02 tff(1467,plain,(c0_1(a194) | hskp2 | (~c1_1(a195)) | c3_1(a195) | c1_1(a194) | c2_1(a194)), inference(lemma,lemma(discharge,[]))).
% 1.13/1.02 tff(1468,plain,
% 1.13/1.02 (c0_1(a194)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1467, 12, 1006, 614, 14, 11])).
% 1.13/1.02 tff(1469,assumption,(~c3_1(a194)), introduced(assumption)).
% 1.13/1.02 tff(1470,plain,
% 1.13/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | c3_1(a194) | (~c0_1(a194)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | c3_1(a194) | (~c0_1(a194)))),
% 1.13/1.02 inference(rewrite,[status(thm)],[])).
% 1.13/1.02 tff(1471,plain,
% 1.13/1.02 (((~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c3_1(a194) | c2_1(a194) | (~c0_1(a194)) | c2_1(a194) | c1_1(a194) | (~c0_1(a194))) <=> (c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | c3_1(a194) | (~c0_1(a194)))),
% 1.13/1.02 inference(rewrite,[status(thm)],[])).
% 1.13/1.02 tff(1472,plain,
% 1.13/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c3_1(a194) | c2_1(a194) | (~c0_1(a194)) | c2_1(a194) | c1_1(a194) | (~c0_1(a194)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | c3_1(a194) | (~c0_1(a194))))),
% 1.13/1.02 inference(monotonicity,[status(thm)],[1471])).
% 1.13/1.02 tff(1473,plain,
% 1.13/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c3_1(a194) | c2_1(a194) | (~c0_1(a194)) | c2_1(a194) | c1_1(a194) | (~c0_1(a194)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | c3_1(a194) | (~c0_1(a194)))),
% 1.13/1.02 inference(transitivity,[status(thm)],[1472, 1470])).
% 1.13/1.02 tff(1474,plain,
% 1.13/1.02 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c3_1(a194) | c2_1(a194) | (~c0_1(a194)) | c2_1(a194) | c1_1(a194) | (~c0_1(a194)))),
% 1.13/1.02 inference(quant_inst,[status(thm)],[])).
% 1.13/1.02 tff(1475,plain,
% 1.13/1.02 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | c3_1(a194) | (~c0_1(a194))),
% 1.13/1.02 inference(modus_ponens,[status(thm)],[1474, 1473])).
% 1.13/1.02 tff(1476,plain,
% 1.13/1.02 ($false),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1475, 160, 1211, 1210, 1259, 736, 12, 11, 912, 1469])).
% 1.13/1.02 tff(1477,plain,(c3_1(a194) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a194)) | c1_1(a194) | c2_1(a194)), inference(lemma,lemma(discharge,[]))).
% 1.13/1.02 tff(1478,plain,
% 1.13/1.02 (c3_1(a194)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1477, 1468, 1210, 1259, 1211, 12, 11])).
% 1.13/1.02 tff(1479,plain,
% 1.13/1.02 (^[V: $i, U: $i] : refl((hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) <=> (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))))),
% 1.13/1.02 inference(bind,[status(th)],[])).
% 1.13/1.02 tff(1480,plain,
% 1.13/1.02 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.13/1.02 inference(quant_intro,[status(thm)],[1479])).
% 1.13/1.02 tff(1481,plain,
% 1.13/1.02 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.13/1.02 inference(rewrite,[status(thm)],[])).
% 1.13/1.02 tff(1482,plain,
% 1.13/1.02 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V)) | hskp13) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) | hskp13))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) | hskp13) <=> (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V)) | hskp13) <=> (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))))),
% 1.13/1.02 inference(bind,[status(th)],[])).
% 1.13/1.02 tff(1483,plain,
% 1.13/1.02 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V)) | hskp13) <=> ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.13/1.02 inference(quant_intro,[status(thm)],[1482])).
% 1.13/1.02 tff(1484,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) | c2_1(V)) | hskp13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause141')).
% 1.13/1.02 tff(1485,plain,
% 1.13/1.02 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.13/1.02 inference(modus_ponens,[status(thm)],[1484, 1483])).
% 1.13/1.02 tff(1486,plain,
% 1.13/1.02 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.13/1.02 inference(modus_ponens,[status(thm)],[1485, 1481])).
% 1.13/1.02 tff(1487,plain,(
% 1.13/1.02 ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.13/1.02 inference(skolemize,[status(sab)],[1486])).
% 1.13/1.02 tff(1488,plain,
% 1.13/1.02 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 1.13/1.02 inference(modus_ponens,[status(thm)],[1487, 1480])).
% 1.13/1.02 tff(1489,plain,
% 1.13/1.02 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp13 | (~c1_1(a195)) | c3_1(a195) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a195)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp13 | (~c1_1(a195)) | c3_1(a195) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a195)))),
% 1.13/1.02 inference(rewrite,[status(thm)],[])).
% 1.13/1.02 tff(1490,plain,
% 1.13/1.02 ((hskp13 | (~ndr1_0) | c3_1(a195) | (~c1_1(a195)) | (~c0_1(a195)) | c1_1(a194) | c2_1(a194) | (~c3_1(a194))) <=> (hskp13 | (~c1_1(a195)) | c3_1(a195) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a195)))),
% 1.13/1.02 inference(rewrite,[status(thm)],[])).
% 1.13/1.02 tff(1491,plain,
% 1.13/1.02 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp13 | (~ndr1_0) | c3_1(a195) | (~c1_1(a195)) | (~c0_1(a195)) | c1_1(a194) | c2_1(a194) | (~c3_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp13 | (~c1_1(a195)) | c3_1(a195) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a195))))),
% 1.13/1.02 inference(monotonicity,[status(thm)],[1490])).
% 1.13/1.02 tff(1492,plain,
% 1.13/1.02 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp13 | (~ndr1_0) | c3_1(a195) | (~c1_1(a195)) | (~c0_1(a195)) | c1_1(a194) | c2_1(a194) | (~c3_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp13 | (~c1_1(a195)) | c3_1(a195) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a195)))),
% 1.13/1.02 inference(transitivity,[status(thm)],[1491, 1489])).
% 1.13/1.02 tff(1493,plain,
% 1.13/1.02 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp13 | (~ndr1_0) | c3_1(a195) | (~c1_1(a195)) | (~c0_1(a195)) | c1_1(a194) | c2_1(a194) | (~c3_1(a194)))),
% 1.13/1.02 inference(quant_inst,[status(thm)],[])).
% 1.13/1.02 tff(1494,plain,
% 1.13/1.02 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp13 | (~c1_1(a195)) | c3_1(a195) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a195))),
% 1.13/1.02 inference(modus_ponens,[status(thm)],[1493, 1492])).
% 1.13/1.02 tff(1495,plain,
% 1.13/1.02 (hskp13),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1494, 160, 1458, 1006, 614, 12, 11, 1488, 1478])).
% 1.13/1.02 tff(1496,plain,
% 1.13/1.02 (~c0_1(a209)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[423, 1495])).
% 1.13/1.02 tff(1497,plain,
% 1.13/1.02 (c1_1(a209)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[445, 1495])).
% 1.13/1.02 tff(1498,plain,
% 1.13/1.02 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c2_1(a209)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp2 | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c2_1(a209)))),
% 1.13/1.02 inference(rewrite,[status(thm)],[])).
% 1.13/1.02 tff(1499,plain,
% 1.13/1.02 ((hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c1_1(a209)) | (~c2_1(a209))) <=> (hskp2 | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c2_1(a209)))),
% 1.13/1.02 inference(rewrite,[status(thm)],[])).
% 1.13/1.02 tff(1500,plain,
% 1.13/1.02 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c1_1(a209)) | (~c2_1(a209)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c2_1(a209))))),
% 1.13/1.02 inference(monotonicity,[status(thm)],[1499])).
% 1.13/1.02 tff(1501,plain,
% 1.13/1.02 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c1_1(a209)) | (~c2_1(a209)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp2 | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c2_1(a209)))),
% 1.13/1.02 inference(transitivity,[status(thm)],[1500, 1498])).
% 1.13/1.02 tff(1502,plain,
% 1.13/1.02 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c1_1(a209)) | (~c2_1(a209)))),
% 1.13/1.02 inference(quant_inst,[status(thm)],[])).
% 1.13/1.02 tff(1503,plain,
% 1.13/1.02 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp2 | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a209)) | (~c2_1(a209))),
% 1.13/1.02 inference(modus_ponens,[status(thm)],[1502, 1501])).
% 1.13/1.02 tff(1504,plain,
% 1.13/1.02 (~c2_1(a209)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1503, 160, 14, 1497, 1468, 1496, 12, 11, 25])).
% 1.13/1.02 tff(1505,plain,
% 1.13/1.02 (c3_1(a209)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[434, 1495])).
% 1.13/1.02 tff(1506,assumption,(c3_1(a194)), introduced(assumption)).
% 1.13/1.02 tff(1507,assumption,(~hskp0), introduced(assumption)).
% 1.13/1.02 tff(1508,plain,
% 1.13/1.02 (hskp24),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1327, 160, 736, 12, 11, 353, 1506])).
% 1.13/1.02 tff(1509,plain,
% 1.13/1.02 (c3_1(a215)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[372, 1508])).
% 1.13/1.02 tff(1510,assumption,(~c2_1(a209)), introduced(assumption)).
% 1.13/1.02 tff(1511,plain,
% 1.13/1.02 (c1_1(a215)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[394, 1508])).
% 1.13/1.02 tff(1512,plain,
% 1.13/1.02 (c2_1(a215)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[383, 1508])).
% 1.13/1.02 tff(1513,assumption,(c2_1(a215)), introduced(assumption)).
% 1.13/1.02 tff(1514,assumption,(c1_1(a215)), introduced(assumption)).
% 1.13/1.02 tff(1515,assumption,(~hskp9), introduced(assumption)).
% 1.13/1.02 tff(1516,plain,
% 1.13/1.02 (^[V: $i, U: $i] : refl((hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) <=> (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))))),
% 1.13/1.02 inference(bind,[status(th)],[])).
% 1.13/1.02 tff(1517,plain,
% 1.13/1.02 (![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.13/1.02 inference(quant_intro,[status(thm)],[1516])).
% 1.13/1.02 tff(1518,plain,
% 1.13/1.02 (![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.13/1.02 inference(rewrite,[status(thm)],[])).
% 1.13/1.02 tff(1519,plain,
% 1.13/1.02 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) <=> ((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | hskp9) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) | hskp9))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) | hskp9) <=> (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | hskp9) <=> (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))))),
% 1.13/1.03 inference(bind,[status(th)],[])).
% 1.13/1.03 tff(1520,plain,
% 1.13/1.03 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | hskp9) <=> ![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.13/1.03 inference(quant_intro,[status(thm)],[1519])).
% 1.13/1.03 tff(1521,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | hskp9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause148')).
% 1.13/1.03 tff(1522,plain,
% 1.13/1.03 (![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1521, 1520])).
% 1.13/1.03 tff(1523,plain,
% 1.13/1.03 (![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1522, 1518])).
% 1.13/1.03 tff(1524,plain,(
% 1.13/1.03 ![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.13/1.03 inference(skolemize,[status(sab)],[1523])).
% 1.13/1.03 tff(1525,plain,
% 1.13/1.03 (![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1524, 1517])).
% 1.13/1.03 tff(1526,assumption,(c3_1(a215)), introduced(assumption)).
% 1.13/1.03 tff(1527,plain,
% 1.13/1.03 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp9 | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c0_1(a215)) | (~c1_1(a215)) | (~c3_1(a215)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp9 | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c0_1(a215)) | (~c1_1(a215)) | (~c3_1(a215)))),
% 1.13/1.03 inference(rewrite,[status(thm)],[])).
% 1.13/1.03 tff(1528,plain,
% 1.13/1.03 ((hskp9 | (~ndr1_0) | (~c3_1(a215)) | (~c1_1(a215)) | (~c0_1(a215)) | c1_1(a194) | c2_1(a194) | (~c0_1(a194))) <=> (hskp9 | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c0_1(a215)) | (~c1_1(a215)) | (~c3_1(a215)))),
% 1.13/1.03 inference(rewrite,[status(thm)],[])).
% 1.13/1.03 tff(1529,plain,
% 1.13/1.03 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp9 | (~ndr1_0) | (~c3_1(a215)) | (~c1_1(a215)) | (~c0_1(a215)) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp9 | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c0_1(a215)) | (~c1_1(a215)) | (~c3_1(a215))))),
% 1.13/1.03 inference(monotonicity,[status(thm)],[1528])).
% 1.13/1.03 tff(1530,plain,
% 1.13/1.03 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp9 | (~ndr1_0) | (~c3_1(a215)) | (~c1_1(a215)) | (~c0_1(a215)) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp9 | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c0_1(a215)) | (~c1_1(a215)) | (~c3_1(a215)))),
% 1.13/1.03 inference(transitivity,[status(thm)],[1529, 1527])).
% 1.13/1.03 tff(1531,plain,
% 1.13/1.03 ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp9 | (~ndr1_0) | (~c3_1(a215)) | (~c1_1(a215)) | (~c0_1(a215)) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)))),
% 1.13/1.03 inference(quant_inst,[status(thm)],[])).
% 1.13/1.03 tff(1532,plain,
% 1.13/1.03 ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp9 | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c0_1(a215)) | (~c1_1(a215)) | (~c3_1(a215))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 1.13/1.03 tff(1533,plain,
% 1.13/1.03 (hskp9 | (~c0_1(a215))),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[1532, 160, 1514, 1526, 736, 12, 11, 1525])).
% 1.13/1.03 tff(1534,plain,
% 1.13/1.03 (~c0_1(a215)),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[1533, 1515])).
% 1.13/1.03 tff(1535,plain,
% 1.13/1.03 (^[U: $i] : refl((hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U))) <=> (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U))))),
% 1.13/1.03 inference(bind,[status(th)],[])).
% 1.13/1.03 tff(1536,plain,
% 1.13/1.03 (![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))),
% 1.13/1.03 inference(quant_intro,[status(thm)],[1535])).
% 1.13/1.03 tff(1537,plain,
% 1.13/1.03 (![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))),
% 1.13/1.03 inference(rewrite,[status(thm)],[])).
% 1.13/1.03 tff(1538,plain,
% 1.13/1.03 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c1_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c1_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U))))), (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c1_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c1_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))), (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U))))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp8) <=> (((~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U))) | hskp8))), rewrite((((~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U))) | hskp8) <=> (hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp8) <=> (hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U))))), (((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp8) | hskp9) <=> ((hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U))) | hskp9))), rewrite(((hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U))) | hskp9) <=> (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))), (((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp8) | hskp9) <=> (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))))),
% 1.13/1.03 inference(bind,[status(th)],[])).
% 1.13/1.03 tff(1539,plain,
% 1.13/1.03 (![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp8) | hskp9) <=> ![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))),
% 1.13/1.03 inference(quant_intro,[status(thm)],[1538])).
% 1.13/1.03 tff(1540,axiom,(![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp8) | hskp9)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause115')).
% 1.13/1.03 tff(1541,plain,
% 1.13/1.03 (![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1540, 1539])).
% 1.13/1.03 tff(1542,plain,
% 1.13/1.03 (![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1541, 1537])).
% 1.13/1.03 tff(1543,plain,(
% 1.13/1.03 ![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))),
% 1.13/1.03 inference(skolemize,[status(sab)],[1542])).
% 1.13/1.03 tff(1544,plain,
% 1.13/1.03 (![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1543, 1536])).
% 1.13/1.03 tff(1545,plain,
% 1.13/1.03 (((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | (hskp9 | hskp8 | c0_1(a209) | (~ndr1_0) | (~c1_1(a209)) | c2_1(a209))) <=> ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | hskp9 | hskp8 | c0_1(a209) | (~ndr1_0) | (~c1_1(a209)) | c2_1(a209))),
% 1.13/1.03 inference(rewrite,[status(thm)],[])).
% 1.13/1.03 tff(1546,plain,
% 1.13/1.03 ((hskp9 | hskp8 | (~ndr1_0) | c0_1(a209) | c2_1(a209) | (~c1_1(a209))) <=> (hskp9 | hskp8 | c0_1(a209) | (~ndr1_0) | (~c1_1(a209)) | c2_1(a209))),
% 1.13/1.03 inference(rewrite,[status(thm)],[])).
% 1.13/1.03 tff(1547,plain,
% 1.13/1.03 (((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | (hskp9 | hskp8 | (~ndr1_0) | c0_1(a209) | c2_1(a209) | (~c1_1(a209)))) <=> ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | (hskp9 | hskp8 | c0_1(a209) | (~ndr1_0) | (~c1_1(a209)) | c2_1(a209)))),
% 1.13/1.03 inference(monotonicity,[status(thm)],[1546])).
% 1.13/1.03 tff(1548,plain,
% 1.13/1.03 (((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | (hskp9 | hskp8 | (~ndr1_0) | c0_1(a209) | c2_1(a209) | (~c1_1(a209)))) <=> ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | hskp9 | hskp8 | c0_1(a209) | (~ndr1_0) | (~c1_1(a209)) | c2_1(a209))),
% 1.13/1.03 inference(transitivity,[status(thm)],[1547, 1545])).
% 1.13/1.03 tff(1549,plain,
% 1.13/1.03 ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | (hskp9 | hskp8 | (~ndr1_0) | c0_1(a209) | c2_1(a209) | (~c1_1(a209)))),
% 1.13/1.03 inference(quant_inst,[status(thm)],[])).
% 1.13/1.03 tff(1550,plain,
% 1.13/1.03 ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | hskp9 | hskp8 | c0_1(a209) | (~ndr1_0) | (~c1_1(a209)) | c2_1(a209)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1549, 1548])).
% 1.13/1.03 tff(1551,plain,
% 1.13/1.03 (hskp9 | hskp8 | c2_1(a209)),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[1550, 160, 466, 463, 1544])).
% 1.13/1.03 tff(1552,plain,
% 1.13/1.03 (hskp8),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[1551, 1515, 1510])).
% 1.13/1.03 tff(1553,assumption,(~c0_1(a215)), introduced(assumption)).
% 1.13/1.03 tff(1554,plain,
% 1.13/1.03 (^[V: $i, U: $i] : refl((hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) <=> (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))))),
% 1.13/1.03 inference(bind,[status(th)],[])).
% 1.13/1.03 tff(1555,plain,
% 1.13/1.03 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.13/1.03 inference(quant_intro,[status(thm)],[1554])).
% 1.13/1.03 tff(1556,plain,
% 1.13/1.03 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.13/1.03 inference(rewrite,[status(thm)],[])).
% 1.13/1.03 tff(1557,plain,
% 1.13/1.03 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V)))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V))))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V)))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V))))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) | hskp0) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) | hskp0))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) | hskp0) <=> (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) | hskp0) <=> (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))))),
% 1.13/1.03 inference(bind,[status(th)],[])).
% 1.13/1.03 tff(1558,plain,
% 1.13/1.03 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) | hskp0) <=> ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.13/1.03 inference(quant_intro,[status(thm)],[1557])).
% 1.13/1.03 tff(1559,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) | hskp0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause145')).
% 1.13/1.03 tff(1560,plain,
% 1.13/1.03 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1559, 1558])).
% 1.13/1.03 tff(1561,plain,
% 1.13/1.03 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1560, 1556])).
% 1.13/1.03 tff(1562,plain,(
% 1.13/1.03 ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.13/1.03 inference(skolemize,[status(sab)],[1561])).
% 1.13/1.03 tff(1563,plain,
% 1.13/1.03 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1562, 1555])).
% 1.13/1.03 tff(1564,assumption,(hskp8), introduced(assumption)).
% 1.13/1.03 tff(1565,plain,
% 1.13/1.03 (((~hskp8) | (~c2_1(a198))) <=> ((~hskp8) | (~c2_1(a198)))),
% 1.13/1.03 inference(rewrite,[status(thm)],[])).
% 1.13/1.03 tff(1566,plain,
% 1.13/1.03 (((~c2_1(a198)) | (~hskp8)) <=> ((~hskp8) | (~c2_1(a198)))),
% 1.13/1.03 inference(rewrite,[status(thm)],[])).
% 1.13/1.03 tff(1567,axiom,((~c2_1(a198)) | (~hskp8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause95')).
% 1.13/1.03 tff(1568,plain,
% 1.13/1.03 ((~hskp8) | (~c2_1(a198))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1567, 1566])).
% 1.13/1.03 tff(1569,plain,
% 1.13/1.03 ((~hskp8) | (~c2_1(a198))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1568, 1565])).
% 1.13/1.03 tff(1570,plain,
% 1.13/1.03 (~c2_1(a198)),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[1569, 1564])).
% 1.13/1.03 tff(1571,plain,
% 1.13/1.03 (((~hskp8) | c3_1(a198)) <=> ((~hskp8) | c3_1(a198))),
% 1.13/1.03 inference(rewrite,[status(thm)],[])).
% 1.13/1.03 tff(1572,axiom,((~hskp8) | c3_1(a198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause61')).
% 1.13/1.03 tff(1573,plain,
% 1.13/1.03 ((~hskp8) | c3_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1572, 1571])).
% 1.13/1.03 tff(1574,plain,
% 1.13/1.03 ((~hskp8) | c3_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1573, 1571])).
% 1.13/1.03 tff(1575,plain,
% 1.13/1.03 ((~hskp8) | c3_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1574, 1571])).
% 1.13/1.03 tff(1576,plain,
% 1.13/1.03 ((~hskp8) | c3_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1575, 1571])).
% 1.13/1.03 tff(1577,plain,
% 1.13/1.03 ((~hskp8) | c3_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1576, 1571])).
% 1.13/1.03 tff(1578,plain,
% 1.13/1.03 ((~hskp8) | c3_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1577, 1571])).
% 1.13/1.03 tff(1579,plain,
% 1.13/1.03 ((~hskp8) | c3_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1578, 1571])).
% 1.13/1.03 tff(1580,plain,
% 1.13/1.03 ((~hskp8) | c3_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1579, 1571])).
% 1.13/1.03 tff(1581,plain,
% 1.13/1.03 (c3_1(a198)),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[1580, 1564])).
% 1.13/1.03 tff(1582,plain,
% 1.13/1.03 (((~hskp8) | c1_1(a198)) <=> ((~hskp8) | c1_1(a198))),
% 1.13/1.03 inference(rewrite,[status(thm)],[])).
% 1.13/1.03 tff(1583,axiom,((~hskp8) | c1_1(a198)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause60')).
% 1.13/1.03 tff(1584,plain,
% 1.13/1.03 ((~hskp8) | c1_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1583, 1582])).
% 1.13/1.03 tff(1585,plain,
% 1.13/1.03 ((~hskp8) | c1_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1584, 1582])).
% 1.13/1.03 tff(1586,plain,
% 1.13/1.03 ((~hskp8) | c1_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1585, 1582])).
% 1.13/1.03 tff(1587,plain,
% 1.13/1.03 ((~hskp8) | c1_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1586, 1582])).
% 1.13/1.03 tff(1588,plain,
% 1.13/1.03 ((~hskp8) | c1_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1587, 1582])).
% 1.13/1.03 tff(1589,plain,
% 1.13/1.03 ((~hskp8) | c1_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1588, 1582])).
% 1.13/1.03 tff(1590,plain,
% 1.13/1.03 ((~hskp8) | c1_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1589, 1582])).
% 1.13/1.03 tff(1591,plain,
% 1.13/1.03 ((~hskp8) | c1_1(a198)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1590, 1582])).
% 1.13/1.03 tff(1592,plain,
% 1.13/1.03 (c1_1(a198)),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[1591, 1564])).
% 1.13/1.03 tff(1593,plain,
% 1.13/1.03 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp0 | c2_1(a198) | (~ndr1_0) | (~c3_1(a198)) | (~c1_1(a198)) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp0 | c2_1(a198) | (~ndr1_0) | (~c3_1(a198)) | (~c1_1(a198)) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215))),
% 1.13/1.03 inference(rewrite,[status(thm)],[])).
% 1.13/1.03 tff(1594,plain,
% 1.13/1.03 ((hskp0 | (~ndr1_0) | c2_1(a198) | (~c3_1(a198)) | (~c1_1(a198)) | c0_1(a215) | (~c1_1(a215)) | (~c2_1(a215))) <=> (hskp0 | c2_1(a198) | (~ndr1_0) | (~c3_1(a198)) | (~c1_1(a198)) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215))),
% 1.13/1.03 inference(rewrite,[status(thm)],[])).
% 1.13/1.03 tff(1595,plain,
% 1.13/1.03 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a198) | (~c3_1(a198)) | (~c1_1(a198)) | c0_1(a215) | (~c1_1(a215)) | (~c2_1(a215)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp0 | c2_1(a198) | (~ndr1_0) | (~c3_1(a198)) | (~c1_1(a198)) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215)))),
% 1.13/1.03 inference(monotonicity,[status(thm)],[1594])).
% 1.13/1.03 tff(1596,plain,
% 1.13/1.03 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a198) | (~c3_1(a198)) | (~c1_1(a198)) | c0_1(a215) | (~c1_1(a215)) | (~c2_1(a215)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp0 | c2_1(a198) | (~ndr1_0) | (~c3_1(a198)) | (~c1_1(a198)) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215))),
% 1.13/1.03 inference(transitivity,[status(thm)],[1595, 1593])).
% 1.13/1.03 tff(1597,plain,
% 1.13/1.03 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a198) | (~c3_1(a198)) | (~c1_1(a198)) | c0_1(a215) | (~c1_1(a215)) | (~c2_1(a215)))),
% 1.13/1.03 inference(quant_inst,[status(thm)],[])).
% 1.13/1.03 tff(1598,plain,
% 1.13/1.03 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp0 | c2_1(a198) | (~ndr1_0) | (~c3_1(a198)) | (~c1_1(a198)) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215)),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1597, 1596])).
% 1.13/1.03 tff(1599,plain,
% 1.13/1.03 ($false),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[1598, 160, 1507, 1514, 1513, 1592, 1581, 1570, 1563, 1553])).
% 1.13/1.03 tff(1600,plain,((~hskp8) | hskp0 | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215)), inference(lemma,lemma(discharge,[]))).
% 1.13/1.03 tff(1601,plain,
% 1.13/1.03 ($false),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[1600, 1552, 1534, 1514, 1513, 1507])).
% 1.13/1.03 tff(1602,plain,(hskp9 | (~c1_1(a215)) | (~c2_1(a215)) | hskp0 | c2_1(a209) | (~c1_1(a209)) | c0_1(a209) | (~c3_1(a215)) | (~c0_1(a194)) | c1_1(a194) | c2_1(a194)), inference(lemma,lemma(discharge,[]))).
% 1.13/1.03 tff(1603,plain,
% 1.13/1.03 (hskp9),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[1602, 1507, 1512, 1511, 1510, 466, 463, 1509, 736, 12, 11])).
% 1.13/1.03 tff(1604,plain,
% 1.13/1.03 (~c0_1(a199)),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[707, 1603])).
% 1.13/1.03 tff(1605,plain,
% 1.13/1.03 (~c1_1(a199)),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[701, 1603])).
% 1.13/1.03 tff(1606,plain,
% 1.13/1.03 (c0_1(a199) | (~c2_1(a199))),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[744, 160, 466, 465, 736, 463, 772, 12, 11, 65])).
% 1.13/1.03 tff(1607,plain,
% 1.13/1.03 (~c2_1(a199)),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[1606, 773])).
% 1.13/1.03 tff(1608,plain,
% 1.13/1.03 (^[V: $i, U: $i] : refl((hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V)) <=> (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V)))),
% 1.13/1.03 inference(bind,[status(th)],[])).
% 1.13/1.03 tff(1609,plain,
% 1.13/1.03 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))),
% 1.13/1.03 inference(quant_intro,[status(thm)],[1608])).
% 1.13/1.03 tff(1610,plain,
% 1.13/1.03 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))),
% 1.13/1.03 inference(rewrite,[status(thm)],[])).
% 1.13/1.03 tff(1611,plain,
% 1.13/1.03 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V)) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V)))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V)) | c2_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V)))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) | hskp0) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V)) | hskp0))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V)) | hskp0) <=> (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) | hskp0) <=> (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))))),
% 1.13/1.03 inference(bind,[status(th)],[])).
% 1.13/1.03 tff(1612,plain,
% 1.13/1.03 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) | hskp0) <=> ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))),
% 1.13/1.03 inference(quant_intro,[status(thm)],[1611])).
% 1.13/1.03 tff(1613,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) | hskp0)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause131')).
% 1.13/1.03 tff(1614,plain,
% 1.13/1.03 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1613, 1612])).
% 1.13/1.03 tff(1615,plain,
% 1.13/1.03 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1614, 1610])).
% 1.13/1.03 tff(1616,plain,(
% 1.13/1.03 ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))),
% 1.13/1.03 inference(skolemize,[status(sab)],[1615])).
% 1.13/1.03 tff(1617,plain,
% 1.13/1.03 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1616, 1609])).
% 1.13/1.03 tff(1618,plain,
% 1.13/1.03 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp0 | c2_1(a199) | c0_1(a199) | c1_1(a199) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp0 | c2_1(a199) | c0_1(a199) | c1_1(a199) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a194)))),
% 1.13/1.03 inference(rewrite,[status(thm)],[])).
% 1.13/1.03 tff(1619,plain,
% 1.13/1.03 ((hskp0 | (~ndr1_0) | c2_1(a194) | (~c3_1(a194)) | (~c0_1(a194)) | c1_1(a199) | c0_1(a199) | c2_1(a199)) <=> (hskp0 | c2_1(a199) | c0_1(a199) | c1_1(a199) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a194)))),
% 1.13/1.03 inference(rewrite,[status(thm)],[])).
% 1.13/1.03 tff(1620,plain,
% 1.13/1.03 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp0 | (~ndr1_0) | c2_1(a194) | (~c3_1(a194)) | (~c0_1(a194)) | c1_1(a199) | c0_1(a199) | c2_1(a199))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp0 | c2_1(a199) | c0_1(a199) | c1_1(a199) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a194))))),
% 1.13/1.03 inference(monotonicity,[status(thm)],[1619])).
% 1.13/1.03 tff(1621,plain,
% 1.13/1.03 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp0 | (~ndr1_0) | c2_1(a194) | (~c3_1(a194)) | (~c0_1(a194)) | c1_1(a199) | c0_1(a199) | c2_1(a199))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp0 | c2_1(a199) | c0_1(a199) | c1_1(a199) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a194)))),
% 1.13/1.03 inference(transitivity,[status(thm)],[1620, 1618])).
% 1.13/1.03 tff(1622,plain,
% 1.13/1.03 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp0 | (~ndr1_0) | c2_1(a194) | (~c3_1(a194)) | (~c0_1(a194)) | c1_1(a199) | c0_1(a199) | c2_1(a199))),
% 1.13/1.03 inference(quant_inst,[status(thm)],[])).
% 1.13/1.03 tff(1623,plain,
% 1.13/1.03 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp0 | c2_1(a199) | c0_1(a199) | c1_1(a199) | c2_1(a194) | (~ndr1_0) | (~c3_1(a194)) | (~c0_1(a194))),
% 1.13/1.03 inference(modus_ponens,[status(thm)],[1622, 1621])).
% 1.13/1.03 tff(1624,plain,
% 1.13/1.03 (c2_1(a199) | c0_1(a199)),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[1623, 160, 1507, 736, 772, 11, 1617, 1506])).
% 1.13/1.03 tff(1625,plain,
% 1.13/1.03 ($false),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[1624, 1607, 773])).
% 1.13/1.03 tff(1626,plain,(c0_1(a199) | hskp0 | (~c0_1(a194)) | c1_1(a199) | c2_1(a194) | (~c3_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)) | c0_1(a209) | c1_1(a194)), inference(lemma,lemma(discharge,[]))).
% 1.13/1.03 tff(1627,plain,
% 1.13/1.03 ($false),
% 1.13/1.03 inference(unit_resolution,[status(thm)],[1626, 1605, 1604, 736, 1507, 11, 1506, 466, 465, 463, 12])).
% 1.20/1.04 tff(1628,plain,(hskp0 | (~c0_1(a194)) | c2_1(a194) | (~c3_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)) | c0_1(a209) | c1_1(a194) | c2_1(a209)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.04 tff(1629,plain,
% 1.20/1.04 (hskp0),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[1628, 1468, 11, 1478, 1497, 1505, 1496, 12, 1504])).
% 1.20/1.04 tff(1630,plain,
% 1.20/1.04 (~c3_1(a188)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[662, 1629])).
% 1.20/1.04 tff(1631,plain,
% 1.20/1.04 (~c0_1(a188)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[674, 1629])).
% 1.20/1.04 tff(1632,plain,
% 1.20/1.04 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | c0_1(a188) | c3_1(a188) | (~ndr1_0) | c2_1(a188))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c0_1(a188) | c3_1(a188) | (~ndr1_0) | c2_1(a188))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1633,plain,
% 1.20/1.04 ((hskp6 | (~ndr1_0) | c3_1(a188) | c0_1(a188) | c2_1(a188)) <=> (hskp6 | c0_1(a188) | c3_1(a188) | (~ndr1_0) | c2_1(a188))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1634,plain,
% 1.20/1.04 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a188) | c0_1(a188) | c2_1(a188))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | c0_1(a188) | c3_1(a188) | (~ndr1_0) | c2_1(a188)))),
% 1.20/1.04 inference(monotonicity,[status(thm)],[1633])).
% 1.20/1.04 tff(1635,plain,
% 1.20/1.04 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a188) | c0_1(a188) | c2_1(a188))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c0_1(a188) | c3_1(a188) | (~ndr1_0) | c2_1(a188))),
% 1.20/1.04 inference(transitivity,[status(thm)],[1634, 1632])).
% 1.20/1.04 tff(1636,plain,
% 1.20/1.04 ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a188) | c0_1(a188) | c2_1(a188))),
% 1.20/1.04 inference(quant_inst,[status(thm)],[])).
% 1.20/1.04 tff(1637,plain,
% 1.20/1.04 ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c0_1(a188) | c3_1(a188) | (~ndr1_0) | c2_1(a188)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[1636, 1635])).
% 1.20/1.04 tff(1638,plain,
% 1.20/1.04 (c2_1(a188)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[1637, 160, 1007, 1631, 1630, 581])).
% 1.20/1.04 tff(1639,plain,
% 1.20/1.04 (~c1_1(a188)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[668, 1629])).
% 1.20/1.04 tff(1640,plain,
% 1.20/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a209) | c1_1(a194) | c2_1(a194) | c0_1(a188) | c1_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a209) | c1_1(a194) | c2_1(a194) | c0_1(a188) | c1_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1641,plain,
% 1.20/1.04 (((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a188) | c0_1(a188) | (~c2_1(a188))) <=> (c0_1(a209) | c1_1(a194) | c2_1(a194) | c0_1(a188) | c1_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1642,plain,
% 1.20/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a188) | c0_1(a188) | (~c2_1(a188)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a209) | c1_1(a194) | c2_1(a194) | c0_1(a188) | c1_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209))))),
% 1.20/1.04 inference(monotonicity,[status(thm)],[1641])).
% 1.20/1.04 tff(1643,plain,
% 1.20/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a188) | c0_1(a188) | (~c2_1(a188)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a209) | c1_1(a194) | c2_1(a194) | c0_1(a188) | c1_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.20/1.04 inference(transitivity,[status(thm)],[1642, 1640])).
% 1.20/1.04 tff(1644,plain,
% 1.20/1.04 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a188) | c0_1(a188) | (~c2_1(a188)))),
% 1.20/1.04 inference(quant_inst,[status(thm)],[])).
% 1.20/1.04 tff(1645,plain,
% 1.20/1.04 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a209) | c1_1(a194) | c2_1(a194) | c0_1(a188) | c1_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c0_1(a194)) | (~c1_1(a209)) | (~c3_1(a209))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[1644, 1643])).
% 1.20/1.04 tff(1646,plain,
% 1.20/1.04 ($false),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[1645, 160, 1497, 1505, 1468, 1496, 12, 11, 1631, 1639, 65, 1638])).
% 1.20/1.04 tff(1647,plain,(c1_1(a194) | c2_1(a194) | hskp2 | (~c1_1(a195)) | c3_1(a195) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230))), inference(lemma,lemma(discharge,[]))).
% 1.20/1.04 tff(1648,plain,
% 1.20/1.04 (c1_1(a194)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[1647, 11, 1165, 1442, 614, 1199, 1188, 1177])).
% 1.20/1.04 tff(1649,plain,
% 1.20/1.04 (~hskp5),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[644, 1648])).
% 1.20/1.04 tff(1650,plain,
% 1.20/1.04 (hskp21),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[83, 1649, 36])).
% 1.20/1.04 tff(1651,plain,
% 1.20/1.04 (~c3_1(a257)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[95, 1650])).
% 1.20/1.04 tff(1652,plain,
% 1.20/1.04 (~c1_1(a257)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[89, 1650])).
% 1.20/1.04 tff(1653,plain,
% 1.20/1.04 (c2_1(a257)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[106, 1650])).
% 1.20/1.04 tff(1654,plain,
% 1.20/1.04 (~hskp6),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[611, 1442])).
% 1.20/1.04 tff(1655,plain,
% 1.20/1.04 (c0_1(a195)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[1457, 1442, 1165, 614])).
% 1.20/1.04 tff(1656,assumption,(~c3_1(a225)), introduced(assumption)).
% 1.20/1.04 tff(1657,plain,
% 1.20/1.04 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | c3_1(a225) | c0_1(a225) | (~ndr1_0) | c2_1(a225))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c3_1(a225) | c0_1(a225) | (~ndr1_0) | c2_1(a225))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1658,plain,
% 1.20/1.04 ((hskp6 | (~ndr1_0) | c3_1(a225) | c0_1(a225) | c2_1(a225)) <=> (hskp6 | c3_1(a225) | c0_1(a225) | (~ndr1_0) | c2_1(a225))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1659,plain,
% 1.20/1.04 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a225) | c0_1(a225) | c2_1(a225))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | c3_1(a225) | c0_1(a225) | (~ndr1_0) | c2_1(a225)))),
% 1.20/1.04 inference(monotonicity,[status(thm)],[1658])).
% 1.20/1.04 tff(1660,plain,
% 1.20/1.04 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a225) | c0_1(a225) | c2_1(a225))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c3_1(a225) | c0_1(a225) | (~ndr1_0) | c2_1(a225))),
% 1.20/1.04 inference(transitivity,[status(thm)],[1659, 1657])).
% 1.20/1.04 tff(1661,plain,
% 1.20/1.04 ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a225) | c0_1(a225) | c2_1(a225))),
% 1.20/1.04 inference(quant_inst,[status(thm)],[])).
% 1.20/1.04 tff(1662,plain,
% 1.20/1.04 ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c3_1(a225) | c0_1(a225) | (~ndr1_0) | c2_1(a225)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[1661, 1660])).
% 1.20/1.04 tff(1663,plain,
% 1.20/1.04 (c3_1(a225) | c2_1(a225)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[1662, 160, 1269, 256, 581])).
% 1.20/1.04 tff(1664,plain,
% 1.20/1.04 (c2_1(a225)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[1663, 1656])).
% 1.20/1.04 tff(1665,plain,
% 1.20/1.04 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W)))),
% 1.20/1.04 inference(bind,[status(th)],[])).
% 1.20/1.04 tff(1666,plain,
% 1.20/1.04 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))),
% 1.20/1.04 inference(quant_intro,[status(thm)],[1665])).
% 1.20/1.04 tff(1667,plain,
% 1.20/1.04 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1668,plain,
% 1.20/1.04 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) <=> ((~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> (((~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c2_1(W))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W))) | c2_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W))) | c2_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c2_1(W)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c2_1(W))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c2_1(W))) | c3_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c2_1(W))) | c3_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c2_1(W)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c2_1(W))))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c0_1(W)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c2_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c2_1(W))) | c0_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W))))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c0_1(W)) | c3_1(W)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W))) | c3_1(W)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W))) | c3_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c0_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))))),
% 1.20/1.04 inference(bind,[status(th)],[])).
% 1.20/1.04 tff(1669,plain,
% 1.20/1.04 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c0_1(W)) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))),
% 1.20/1.04 inference(quant_intro,[status(thm)],[1668])).
% 1.20/1.04 tff(1670,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c0_1(W)) | c3_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause158')).
% 1.20/1.04 tff(1671,plain,
% 1.20/1.04 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[1670, 1669])).
% 1.20/1.04 tff(1672,plain,
% 1.20/1.04 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[1671, 1667])).
% 1.20/1.04 tff(1673,plain,(
% 1.20/1.04 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))),
% 1.20/1.04 inference(skolemize,[status(sab)],[1672])).
% 1.20/1.04 tff(1674,plain,
% 1.20/1.04 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[1673, 1666])).
% 1.20/1.04 tff(1675,plain,
% 1.20/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))) | (c3_1(a225) | c0_1(a225) | c3_1(a195) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | c2_1(a195) | (~c0_1(a195)) | (~c2_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))) | c3_1(a225) | c0_1(a225) | c3_1(a195) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | c2_1(a195) | (~c0_1(a195)) | (~c2_1(a225)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1676,plain,
% 1.20/1.04 (((~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c3_1(a195) | c2_1(a195) | (~c0_1(a195)) | c0_1(a225) | (~c2_1(a225)) | c3_1(a225)) <=> (c3_1(a225) | c0_1(a225) | c3_1(a195) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | c2_1(a195) | (~c0_1(a195)) | (~c2_1(a225)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1677,plain,
% 1.20/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))) | ((~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c3_1(a195) | c2_1(a195) | (~c0_1(a195)) | c0_1(a225) | (~c2_1(a225)) | c3_1(a225))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))) | (c3_1(a225) | c0_1(a225) | c3_1(a195) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | c2_1(a195) | (~c0_1(a195)) | (~c2_1(a225))))),
% 1.20/1.04 inference(monotonicity,[status(thm)],[1676])).
% 1.20/1.04 tff(1678,plain,
% 1.20/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))) | ((~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c3_1(a195) | c2_1(a195) | (~c0_1(a195)) | c0_1(a225) | (~c2_1(a225)) | c3_1(a225))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))) | c3_1(a225) | c0_1(a225) | c3_1(a195) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | c2_1(a195) | (~c0_1(a195)) | (~c2_1(a225)))),
% 1.20/1.04 inference(transitivity,[status(thm)],[1677, 1675])).
% 1.20/1.04 tff(1679,plain,
% 1.20/1.04 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))) | ((~ndr1_0) | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | c3_1(a195) | c2_1(a195) | (~c0_1(a195)) | c0_1(a225) | (~c2_1(a225)) | c3_1(a225))),
% 1.20/1.04 inference(quant_inst,[status(thm)],[])).
% 1.20/1.04 tff(1680,plain,
% 1.20/1.04 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | c3_1(W))) | c3_1(a225) | c0_1(a225) | c3_1(a195) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a230)) | c2_1(a195) | (~c0_1(a195)) | (~c2_1(a225))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[1679, 1678])).
% 1.20/1.04 tff(1681,plain,
% 1.20/1.04 (c3_1(a225) | c2_1(a195) | (~c2_1(a225))),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[1680, 160, 1211, 1210, 1259, 616, 256, 614, 1674])).
% 1.20/1.04 tff(1682,plain,
% 1.20/1.04 (c2_1(a195)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[1681, 1664, 1656])).
% 1.20/1.04 tff(1683,plain,
% 1.20/1.04 (~hskp19),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[247, 1656])).
% 1.20/1.04 tff(1684,plain,
% 1.20/1.04 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | c3_1(a225) | c1_1(a225) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)) | (~c0_1(a195)) | (~c2_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp19 | c3_1(a225) | c1_1(a225) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)) | (~c0_1(a195)) | (~c2_1(a225)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1685,plain,
% 1.20/1.04 ((hskp19 | (~ndr1_0) | c3_1(a195) | (~c2_1(a195)) | (~c0_1(a195)) | c3_1(a225) | c1_1(a225) | (~c2_1(a225))) <=> (hskp19 | c3_1(a225) | c1_1(a225) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)) | (~c0_1(a195)) | (~c2_1(a225)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1686,plain,
% 1.20/1.04 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | (~ndr1_0) | c3_1(a195) | (~c2_1(a195)) | (~c0_1(a195)) | c3_1(a225) | c1_1(a225) | (~c2_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | c3_1(a225) | c1_1(a225) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)) | (~c0_1(a195)) | (~c2_1(a225))))),
% 1.20/1.04 inference(monotonicity,[status(thm)],[1685])).
% 1.20/1.04 tff(1687,plain,
% 1.20/1.04 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | (~ndr1_0) | c3_1(a195) | (~c2_1(a195)) | (~c0_1(a195)) | c3_1(a225) | c1_1(a225) | (~c2_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp19 | c3_1(a225) | c1_1(a225) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)) | (~c0_1(a195)) | (~c2_1(a225)))),
% 1.20/1.04 inference(transitivity,[status(thm)],[1686, 1684])).
% 1.20/1.04 tff(1688,plain,
% 1.20/1.04 ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | (~ndr1_0) | c3_1(a195) | (~c2_1(a195)) | (~c0_1(a195)) | c3_1(a225) | c1_1(a225) | (~c2_1(a225)))),
% 1.20/1.04 inference(quant_inst,[status(thm)],[])).
% 1.20/1.04 tff(1689,plain,
% 1.20/1.04 ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp19 | c3_1(a225) | c1_1(a225) | c3_1(a195) | (~ndr1_0) | (~c2_1(a195)) | (~c0_1(a195)) | (~c2_1(a225))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[1688, 1687])).
% 1.20/1.04 tff(1690,plain,
% 1.20/1.04 (c1_1(a225)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[1689, 160, 1683, 1656, 616, 614, 229, 1664, 1682])).
% 1.20/1.04 tff(1691,plain,
% 1.20/1.04 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | c3_1(a225) | c0_1(a225) | (~c1_1(a225)) | (~ndr1_0) | (~c2_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp5 | c3_1(a225) | c0_1(a225) | (~c1_1(a225)) | (~ndr1_0) | (~c2_1(a225)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1692,plain,
% 1.20/1.04 ((hskp5 | (~ndr1_0) | c3_1(a225) | c0_1(a225) | (~c2_1(a225)) | c3_1(a225) | c0_1(a225) | (~c1_1(a225))) <=> (hskp5 | c3_1(a225) | c0_1(a225) | (~c1_1(a225)) | (~ndr1_0) | (~c2_1(a225)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1693,plain,
% 1.20/1.04 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c3_1(a225) | c0_1(a225) | (~c2_1(a225)) | c3_1(a225) | c0_1(a225) | (~c1_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | c3_1(a225) | c0_1(a225) | (~c1_1(a225)) | (~ndr1_0) | (~c2_1(a225))))),
% 1.20/1.04 inference(monotonicity,[status(thm)],[1692])).
% 1.20/1.04 tff(1694,plain,
% 1.20/1.04 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c3_1(a225) | c0_1(a225) | (~c2_1(a225)) | c3_1(a225) | c0_1(a225) | (~c1_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp5 | c3_1(a225) | c0_1(a225) | (~c1_1(a225)) | (~ndr1_0) | (~c2_1(a225)))),
% 1.20/1.04 inference(transitivity,[status(thm)],[1693, 1691])).
% 1.20/1.04 tff(1695,plain,
% 1.20/1.04 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c3_1(a225) | c0_1(a225) | (~c2_1(a225)) | c3_1(a225) | c0_1(a225) | (~c1_1(a225)))),
% 1.20/1.04 inference(quant_inst,[status(thm)],[])).
% 1.20/1.04 tff(1696,plain,
% 1.20/1.04 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp5 | c3_1(a225) | c0_1(a225) | (~c1_1(a225)) | (~ndr1_0) | (~c2_1(a225))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[1695, 1694])).
% 1.20/1.04 tff(1697,plain,
% 1.20/1.04 (hskp5),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[1696, 160, 1656, 256, 1690, 35, 1664])).
% 1.20/1.04 tff(1698,plain,
% 1.20/1.04 (~c1_1(a194)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[644, 1697])).
% 1.20/1.04 tff(1699,plain,
% 1.20/1.04 (c0_1(a194)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[655, 1697])).
% 1.20/1.04 tff(1700,plain,
% 1.20/1.04 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | c0_1(a225) | (~c1_1(a225)) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp2 | c0_1(a225) | (~c1_1(a225)) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a225)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1701,plain,
% 1.20/1.04 ((hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a225) | (~c1_1(a225)) | (~c2_1(a225))) <=> (hskp2 | c0_1(a225) | (~c1_1(a225)) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a225)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1702,plain,
% 1.20/1.04 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a225) | (~c1_1(a225)) | (~c2_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | c0_1(a225) | (~c1_1(a225)) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a225))))),
% 1.20/1.04 inference(monotonicity,[status(thm)],[1701])).
% 1.20/1.04 tff(1703,plain,
% 1.20/1.04 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a225) | (~c1_1(a225)) | (~c2_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp2 | c0_1(a225) | (~c1_1(a225)) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a225)))),
% 1.20/1.04 inference(transitivity,[status(thm)],[1702, 1700])).
% 1.20/1.04 tff(1704,plain,
% 1.20/1.04 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a225) | (~c1_1(a225)) | (~c2_1(a225)))),
% 1.20/1.04 inference(quant_inst,[status(thm)],[])).
% 1.20/1.04 tff(1705,plain,
% 1.20/1.04 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp2 | c0_1(a225) | (~c1_1(a225)) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a225))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[1704, 1703])).
% 1.20/1.04 tff(1706,plain,
% 1.20/1.04 ($false),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[1705, 160, 14, 1699, 256, 1690, 1698, 11, 25, 1664])).
% 1.20/1.04 tff(1707,plain,(c3_1(a225) | hskp2 | c0_1(a225) | c2_1(a194) | (~c0_1(a195)) | c3_1(a195) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a230)) | hskp6), inference(lemma,lemma(discharge,[]))).
% 1.20/1.04 tff(1708,plain,
% 1.20/1.04 (c3_1(a225)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[1707, 256, 1165, 11, 1655, 614, 1177, 1199, 1188, 1654])).
% 1.20/1.04 tff(1709,plain,
% 1.20/1.04 (c3_1(a225)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[1707, 256, 14, 11, 1458, 614, 1211, 1210, 1259, 1007])).
% 1.20/1.04 tff(1710,plain,
% 1.20/1.04 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | c0_1(a225) | c1_1(a225) | (~c1_1(a195)) | c3_1(a195) | (~ndr1_0) | (~c0_1(a195)) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a225) | c1_1(a225) | (~c1_1(a195)) | c3_1(a195) | (~ndr1_0) | (~c0_1(a195)) | (~c3_1(a225)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1711,plain,
% 1.20/1.04 ((hskp2 | (~ndr1_0) | c3_1(a195) | (~c1_1(a195)) | (~c0_1(a195)) | c1_1(a225) | c0_1(a225) | (~c3_1(a225))) <=> (hskp2 | c0_1(a225) | c1_1(a225) | (~c1_1(a195)) | c3_1(a195) | (~ndr1_0) | (~c0_1(a195)) | (~c3_1(a225)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(1712,plain,
% 1.20/1.04 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a195) | (~c1_1(a195)) | (~c0_1(a195)) | c1_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | c0_1(a225) | c1_1(a225) | (~c1_1(a195)) | c3_1(a195) | (~ndr1_0) | (~c0_1(a195)) | (~c3_1(a225))))),
% 1.20/1.04 inference(monotonicity,[status(thm)],[1711])).
% 1.20/1.04 tff(1713,plain,
% 1.20/1.04 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a195) | (~c1_1(a195)) | (~c0_1(a195)) | c1_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a225) | c1_1(a225) | (~c1_1(a195)) | c3_1(a195) | (~ndr1_0) | (~c0_1(a195)) | (~c3_1(a225)))),
% 1.20/1.04 inference(transitivity,[status(thm)],[1712, 1710])).
% 1.20/1.04 tff(1714,plain,
% 1.20/1.04 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a195) | (~c1_1(a195)) | (~c0_1(a195)) | c1_1(a225) | c0_1(a225) | (~c3_1(a225)))),
% 1.20/1.05 inference(quant_inst,[status(thm)],[])).
% 1.20/1.05 tff(1715,plain,
% 1.20/1.05 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a225) | c1_1(a225) | (~c1_1(a195)) | c3_1(a195) | (~ndr1_0) | (~c0_1(a195)) | (~c3_1(a225))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[1714, 1713])).
% 1.20/1.05 tff(1716,plain,
% 1.20/1.05 ($false),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1715, 160, 14, 255, 1458, 256, 475, 1006, 614, 1229])).
% 1.20/1.05 tff(1717,plain,(c1_1(a225) | hskp2 | (~c3_1(a225)) | c0_1(a225) | (~c1_1(a195)) | c3_1(a195)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.05 tff(1718,plain,
% 1.20/1.05 (c1_1(a225)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1717, 1709, 14, 256, 1006, 614])).
% 1.20/1.05 tff(1719,plain,
% 1.20/1.05 (~c2_1(a225)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1705, 160, 14, 1468, 256, 1718, 12, 11, 25])).
% 1.20/1.05 tff(1720,assumption,(c1_1(a225)), introduced(assumption)).
% 1.20/1.05 tff(1721,plain,
% 1.20/1.05 (((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | (hskp9 | hskp8 | c0_1(a225) | (~c1_1(a225)) | (~ndr1_0) | c2_1(a225))) <=> ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | hskp9 | hskp8 | c0_1(a225) | (~c1_1(a225)) | (~ndr1_0) | c2_1(a225))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(1722,plain,
% 1.20/1.05 ((hskp9 | hskp8 | (~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c1_1(a225))) <=> (hskp9 | hskp8 | c0_1(a225) | (~c1_1(a225)) | (~ndr1_0) | c2_1(a225))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(1723,plain,
% 1.20/1.05 (((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | (hskp9 | hskp8 | (~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c1_1(a225)))) <=> ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | (hskp9 | hskp8 | c0_1(a225) | (~c1_1(a225)) | (~ndr1_0) | c2_1(a225)))),
% 1.20/1.05 inference(monotonicity,[status(thm)],[1722])).
% 1.20/1.05 tff(1724,plain,
% 1.20/1.05 (((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | (hskp9 | hskp8 | (~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c1_1(a225)))) <=> ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | hskp9 | hskp8 | c0_1(a225) | (~c1_1(a225)) | (~ndr1_0) | c2_1(a225))),
% 1.20/1.05 inference(transitivity,[status(thm)],[1723, 1721])).
% 1.20/1.05 tff(1725,plain,
% 1.20/1.05 ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | (hskp9 | hskp8 | (~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c1_1(a225)))),
% 1.20/1.05 inference(quant_inst,[status(thm)],[])).
% 1.20/1.05 tff(1726,plain,
% 1.20/1.05 ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c2_1(U) | (~c1_1(U)))) | hskp9 | hskp8 | c0_1(a225) | (~c1_1(a225)) | (~ndr1_0) | c2_1(a225)),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[1725, 1724])).
% 1.20/1.05 tff(1727,plain,
% 1.20/1.05 (hskp9 | hskp8 | (~c1_1(a225)) | c2_1(a225)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1726, 160, 256, 1544])).
% 1.20/1.05 tff(1728,plain,
% 1.20/1.05 (hskp8),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1727, 1515, 1720, 1356])).
% 1.20/1.05 tff(1729,plain,
% 1.20/1.05 ($false),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1600, 1534, 1728, 1514, 1513, 1507])).
% 1.20/1.05 tff(1730,plain,(hskp9 | (~c1_1(a215)) | (~c2_1(a215)) | hskp0 | (~c3_1(a215)) | (~c0_1(a194)) | c1_1(a194) | c2_1(a194) | (~c1_1(a225)) | c2_1(a225) | c0_1(a225)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.05 tff(1731,plain,
% 1.20/1.05 (hskp9),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1730, 1507, 1512, 1511, 1509, 736, 12, 11, 1720, 1356, 256])).
% 1.20/1.05 tff(1732,plain,
% 1.20/1.05 (~c0_1(a199)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[707, 1731])).
% 1.20/1.05 tff(1733,plain,
% 1.20/1.05 (~c1_1(a199)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[701, 1731])).
% 1.20/1.05 tff(1734,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a225) | (~c1_1(a225)) | c0_1(a199) | c1_1(a199) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a199)) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | (~c1_1(a225)) | c0_1(a199) | c1_1(a199) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a199)) | (~c3_1(a225)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(1735,plain,
% 1.20/1.05 (((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a225) | (~c3_1(a225)) | (~c1_1(a225)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199))) <=> (c0_1(a225) | (~c1_1(a225)) | c0_1(a199) | c1_1(a199) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a199)) | (~c3_1(a225)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(1736,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a225) | (~c3_1(a225)) | (~c1_1(a225)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a225) | (~c1_1(a225)) | c0_1(a199) | c1_1(a199) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a199)) | (~c3_1(a225))))),
% 1.20/1.05 inference(monotonicity,[status(thm)],[1735])).
% 1.20/1.05 tff(1737,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a225) | (~c3_1(a225)) | (~c1_1(a225)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | (~c1_1(a225)) | c0_1(a199) | c1_1(a199) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a199)) | (~c3_1(a225)))),
% 1.20/1.05 inference(transitivity,[status(thm)],[1736, 1734])).
% 1.20/1.05 tff(1738,plain,
% 1.20/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a225) | (~c3_1(a225)) | (~c1_1(a225)) | c1_1(a199) | c0_1(a199) | (~c2_1(a199)))),
% 1.20/1.05 inference(quant_inst,[status(thm)],[])).
% 1.20/1.05 tff(1739,plain,
% 1.20/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | (~c1_1(a225)) | c0_1(a199) | c1_1(a199) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c2_1(a199)) | (~c3_1(a225))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[1738, 1737])).
% 1.20/1.05 tff(1740,plain,
% 1.20/1.05 (~c2_1(a199)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1739, 160, 255, 736, 256, 1720, 773, 772, 12, 11, 65])).
% 1.20/1.05 tff(1741,plain,
% 1.20/1.05 ($false),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1623, 160, 1507, 1740, 736, 773, 772, 11, 1617, 1506])).
% 1.20/1.05 tff(1742,plain,(c1_1(a199) | hskp0 | (~c0_1(a194)) | c0_1(a199) | c2_1(a194) | (~c3_1(a194)) | (~c3_1(a225)) | c0_1(a225) | (~c1_1(a225)) | c1_1(a194)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.05 tff(1743,plain,
% 1.20/1.05 ($false),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1742, 1733, 1732, 736, 1507, 11, 1506, 255, 256, 1720, 12])).
% 1.20/1.05 tff(1744,plain,(hskp0 | (~c0_1(a194)) | c2_1(a194) | (~c3_1(a194)) | (~c3_1(a225)) | c0_1(a225) | (~c1_1(a225)) | c1_1(a194) | c2_1(a225)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.05 tff(1745,plain,
% 1.20/1.05 (hskp0),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1744, 1468, 11, 1478, 1709, 256, 1718, 12, 1719])).
% 1.20/1.05 tff(1746,plain,
% 1.20/1.05 (~c3_1(a188)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[662, 1745])).
% 1.20/1.05 tff(1747,plain,
% 1.20/1.05 (~c0_1(a188)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[674, 1745])).
% 1.20/1.05 tff(1748,plain,
% 1.20/1.05 (c2_1(a188)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1637, 160, 1007, 1747, 1746, 581])).
% 1.20/1.05 tff(1749,plain,
% 1.20/1.05 (~c1_1(a188)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[668, 1745])).
% 1.20/1.05 tff(1750,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a225) | (~c1_1(a225)) | c1_1(a194) | c2_1(a194) | c0_1(a188) | c1_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c0_1(a194)) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | (~c1_1(a225)) | c1_1(a194) | c2_1(a194) | c0_1(a188) | c1_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c0_1(a194)) | (~c3_1(a225)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(1751,plain,
% 1.20/1.05 (((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a225) | (~c3_1(a225)) | (~c1_1(a225)) | c1_1(a188) | c0_1(a188) | (~c2_1(a188))) <=> (c0_1(a225) | (~c1_1(a225)) | c1_1(a194) | c2_1(a194) | c0_1(a188) | c1_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c0_1(a194)) | (~c3_1(a225)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(1752,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a225) | (~c3_1(a225)) | (~c1_1(a225)) | c1_1(a188) | c0_1(a188) | (~c2_1(a188)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a225) | (~c1_1(a225)) | c1_1(a194) | c2_1(a194) | c0_1(a188) | c1_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c0_1(a194)) | (~c3_1(a225))))),
% 1.20/1.05 inference(monotonicity,[status(thm)],[1751])).
% 1.20/1.05 tff(1753,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a225) | (~c3_1(a225)) | (~c1_1(a225)) | c1_1(a188) | c0_1(a188) | (~c2_1(a188)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | (~c1_1(a225)) | c1_1(a194) | c2_1(a194) | c0_1(a188) | c1_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c0_1(a194)) | (~c3_1(a225)))),
% 1.20/1.05 inference(transitivity,[status(thm)],[1752, 1750])).
% 1.20/1.05 tff(1754,plain,
% 1.20/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a225) | (~c3_1(a225)) | (~c1_1(a225)) | c1_1(a188) | c0_1(a188) | (~c2_1(a188)))),
% 1.20/1.05 inference(quant_inst,[status(thm)],[])).
% 1.20/1.05 tff(1755,plain,
% 1.20/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | (~c1_1(a225)) | c1_1(a194) | c2_1(a194) | c0_1(a188) | c1_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c0_1(a194)) | (~c3_1(a225))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[1754, 1753])).
% 1.20/1.05 tff(1756,plain,
% 1.20/1.05 ($false),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1755, 160, 1709, 1468, 256, 1718, 12, 11, 1747, 1749, 65, 1748])).
% 1.20/1.05 tff(1757,plain,(c1_1(a194) | c0_1(a225) | c2_1(a194) | hskp2 | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | (~c1_1(a195)) | c3_1(a195)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.05 tff(1758,plain,
% 1.20/1.05 (c1_1(a194)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1757, 256, 11, 1165, 1199, 1188, 1177, 1442, 614])).
% 1.20/1.05 tff(1759,plain,
% 1.20/1.05 (~hskp5),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[644, 1758])).
% 1.20/1.05 tff(1760,plain,
% 1.20/1.05 (hskp21),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[83, 1759, 36])).
% 1.20/1.05 tff(1761,plain,
% 1.20/1.05 (~c3_1(a257)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[95, 1760])).
% 1.20/1.05 tff(1762,plain,
% 1.20/1.05 (c2_1(a257)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[106, 1760])).
% 1.20/1.05 tff(1763,plain,
% 1.20/1.05 (~c1_1(a257)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[89, 1760])).
% 1.20/1.05 tff(1764,plain,
% 1.20/1.05 (c2_1(a225)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1367, 1763, 1354, 1353, 1762, 1761, 1240])).
% 1.20/1.05 tff(1765,plain,
% 1.20/1.05 (hskp7 | (~c2_1(a225)) | (~c3_1(a225))),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1424, 160, 1177, 1199, 1188, 256, 1378])).
% 1.20/1.05 tff(1766,plain,
% 1.20/1.05 (hskp7),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1765, 1764, 1708])).
% 1.20/1.05 tff(1767,plain,
% 1.20/1.05 (~c2_1(a197)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1394, 1766])).
% 1.20/1.05 tff(1768,plain,
% 1.20/1.05 (~c0_1(a197)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1388, 1766])).
% 1.20/1.05 tff(1769,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c1_1(a257) | c3_1(a257) | c0_1(a197) | c2_1(a197) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a197)) | (~c2_1(a257)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c1_1(a257) | c3_1(a257) | c0_1(a197) | c2_1(a197) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a197)) | (~c2_1(a257)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(1770,plain,
% 1.20/1.05 (((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257)) | c2_1(a197) | c0_1(a197) | (~c3_1(a197))) <=> (c1_1(a257) | c3_1(a257) | c0_1(a197) | c2_1(a197) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a197)) | (~c2_1(a257)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(1771,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257)) | c2_1(a197) | c0_1(a197) | (~c3_1(a197)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c1_1(a257) | c3_1(a257) | c0_1(a197) | c2_1(a197) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a197)) | (~c2_1(a257))))),
% 1.20/1.05 inference(monotonicity,[status(thm)],[1770])).
% 1.20/1.05 tff(1772,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257)) | c2_1(a197) | c0_1(a197) | (~c3_1(a197)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c1_1(a257) | c3_1(a257) | c0_1(a197) | c2_1(a197) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a197)) | (~c2_1(a257)))),
% 1.20/1.05 inference(transitivity,[status(thm)],[1771, 1769])).
% 1.20/1.05 tff(1773,plain,
% 1.20/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a257) | c1_1(a257) | (~c2_1(a257)) | c2_1(a197) | c0_1(a197) | (~c3_1(a197)))),
% 1.20/1.05 inference(quant_inst,[status(thm)],[])).
% 1.20/1.05 tff(1774,plain,
% 1.20/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c1_1(a257) | c3_1(a257) | c0_1(a197) | c2_1(a197) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a197)) | (~c2_1(a257))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[1773, 1772])).
% 1.20/1.05 tff(1775,plain,
% 1.20/1.05 (~c3_1(a197)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1774, 160, 1762, 1354, 1353, 1763, 1761, 1768, 1767, 1240, 493])).
% 1.20/1.05 tff(1776,plain,
% 1.20/1.05 ($false),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1404, 160, 1654, 1768, 1767, 581, 1775])).
% 1.20/1.05 tff(1777,plain,(c0_1(a225) | hskp15 | c2_1(a194) | c3_1(a195)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.05 tff(1778,plain,
% 1.20/1.05 (c0_1(a225)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1777, 11, 36, 614])).
% 1.20/1.05 tff(1779,plain,
% 1.20/1.05 (~hskp19),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[253, 1778])).
% 1.20/1.05 tff(1780,plain,
% 1.20/1.05 ($false),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[235, 160, 1779, 1653, 1354, 1353, 1652, 1651, 1240, 229])).
% 1.20/1.05 tff(1781,plain,(c2_1(a194) | hskp15 | c3_1(a195)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.05 tff(1782,plain,
% 1.20/1.05 (c2_1(a194)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1781, 614, 36])).
% 1.20/1.05 tff(1783,plain,
% 1.20/1.05 (~hskp5),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[638, 1782])).
% 1.20/1.05 tff(1784,plain,
% 1.20/1.05 (hskp21),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[83, 1783, 36])).
% 1.20/1.05 tff(1785,plain,
% 1.20/1.05 (~c3_1(a257)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[95, 1784])).
% 1.20/1.05 tff(1786,plain,
% 1.20/1.05 (~c1_1(a257)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[89, 1784])).
% 1.20/1.05 tff(1787,plain,
% 1.20/1.05 (c2_1(a257)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[106, 1784])).
% 1.20/1.05 tff(1788,plain,
% 1.20/1.05 (hskp19),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[235, 160, 1787, 1354, 1353, 1786, 1785, 1240, 229])).
% 1.20/1.05 tff(1789,plain,
% 1.20/1.05 (~c0_1(a225)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[253, 1788])).
% 1.20/1.05 tff(1790,plain,
% 1.20/1.05 (c3_1(a225)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[247, 1788])).
% 1.20/1.05 tff(1791,plain,
% 1.20/1.05 (~c1_1(a225)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[459, 1788])).
% 1.20/1.05 tff(1792,plain,
% 1.20/1.05 ($false),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1717, 1791, 1790, 1165, 1789, 1442, 614])).
% 1.20/1.05 tff(1793,plain,(c3_1(a195) | hskp15), inference(lemma,lemma(discharge,[]))).
% 1.20/1.05 tff(1794,plain,
% 1.20/1.05 (c3_1(a195)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1793, 36])).
% 1.20/1.05 tff(1795,plain,
% 1.20/1.05 (~hskp6),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[594, 1794])).
% 1.20/1.05 tff(1796,plain,
% 1.20/1.05 (hskp19 | c1_1(a190)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[900, 160, 1243, 1244, 1242, 229])).
% 1.20/1.05 tff(1797,plain,
% 1.20/1.05 (hskp19),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1796, 1301])).
% 1.20/1.05 tff(1798,plain,
% 1.20/1.05 (c3_1(a225)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[247, 1797])).
% 1.20/1.05 tff(1799,plain,
% 1.20/1.05 (~c0_1(a225)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[253, 1797])).
% 1.20/1.05 tff(1800,plain,
% 1.20/1.05 (~c1_1(a225)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[459, 1797])).
% 1.20/1.05 tff(1801,plain,
% 1.20/1.05 (c3_1(a230)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1257, 1800, 1211, 1210, 14, 256, 255])).
% 1.20/1.05 tff(1802,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c3_1(a190) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a190)) | c1_1(a190))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c3_1(a190) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a190)) | c1_1(a190))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(1803,plain,
% 1.20/1.05 (((~ndr1_0) | (~c3_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a190) | c3_1(a190) | (~c0_1(a190))) <=> (c3_1(a190) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a190)) | c1_1(a190))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(1804,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a190) | c3_1(a190) | (~c0_1(a190)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c3_1(a190) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a190)) | c1_1(a190)))),
% 1.20/1.05 inference(monotonicity,[status(thm)],[1803])).
% 1.20/1.05 tff(1805,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a190) | c3_1(a190) | (~c0_1(a190)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c3_1(a190) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a190)) | c1_1(a190))),
% 1.20/1.05 inference(transitivity,[status(thm)],[1804, 1802])).
% 1.20/1.05 tff(1806,plain,
% 1.20/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a230)) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a230)) | c1_1(a190) | c3_1(a190) | (~c0_1(a190)))),
% 1.20/1.05 inference(quant_inst,[status(thm)],[])).
% 1.20/1.05 tff(1807,plain,
% 1.20/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c3_1(a190) | (~ndr1_0) | (~c2_1(a230)) | (~c0_1(a230)) | (~c3_1(a230)) | (~c1_1(a230)) | (~c0_1(a190)) | c1_1(a190)),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[1806, 1805])).
% 1.20/1.05 tff(1808,plain,
% 1.20/1.05 ($false),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1807, 160, 1211, 1210, 1259, 1243, 1242, 512, 1301, 1801])).
% 1.20/1.05 tff(1809,plain,(c1_1(a190) | (~c0_1(a230)) | (~c1_1(a230)) | (~c2_1(a230)) | hskp2 | c0_1(a225) | (~c3_1(a225))), inference(lemma,lemma(discharge,[]))).
% 1.20/1.05 tff(1810,plain,
% 1.20/1.05 ($false),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1809, 1799, 1798, 1210, 1259, 14, 1301, 1211])).
% 1.20/1.05 tff(1811,plain,(c1_1(a190) | (~c1_1(a230)) | (~c2_1(a230)) | hskp2 | (~c0_1(a230))), inference(lemma,lemma(discharge,[]))).
% 1.20/1.05 tff(1812,plain,
% 1.20/1.05 (c1_1(a190)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1811, 1199, 1188, 1165, 1177])).
% 1.20/1.05 tff(1813,assumption,(hskp19), introduced(assumption)).
% 1.20/1.05 tff(1814,plain,
% 1.20/1.05 (~c1_1(a225)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[459, 1813])).
% 1.20/1.05 tff(1815,plain,
% 1.20/1.05 (~c0_1(a225)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[253, 1813])).
% 1.20/1.05 tff(1816,plain,
% 1.20/1.05 (c3_1(a225)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[247, 1813])).
% 1.20/1.05 tff(1817,plain,
% 1.20/1.05 ($false),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1299, 160, 14, 1816, 892, 1815, 1814, 13, 1229, 1074])).
% 1.20/1.05 tff(1818,plain,((~hskp19) | hskp2 | (~c0_1(a190)) | c3_1(a190) | (~c1_1(a190))), inference(lemma,lemma(discharge,[]))).
% 1.20/1.05 tff(1819,plain,
% 1.20/1.05 (~hskp19),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1818, 1165, 1354, 1240, 1812])).
% 1.20/1.05 tff(1820,assumption,(hskp21), introduced(assumption)).
% 1.20/1.05 tff(1821,plain,
% 1.20/1.05 (~c3_1(a257)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[95, 1820])).
% 1.20/1.05 tff(1822,plain,
% 1.20/1.05 (~c1_1(a257)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[89, 1820])).
% 1.20/1.05 tff(1823,plain,
% 1.20/1.05 (c2_1(a257)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[106, 1820])).
% 1.20/1.05 tff(1824,plain,
% 1.20/1.05 ($false),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[235, 160, 893, 1823, 892, 847, 1822, 1821, 13, 229])).
% 1.20/1.05 tff(1825,plain,((~hskp21) | hskp19 | (~c0_1(a190)) | (~c2_1(a190)) | c3_1(a190)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.05 tff(1826,plain,
% 1.20/1.05 (~hskp21),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1825, 1819, 1354, 1353, 1240])).
% 1.20/1.05 tff(1827,plain,
% 1.20/1.05 (hskp5),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[83, 1826, 36])).
% 1.20/1.05 tff(1828,plain,
% 1.20/1.05 (~c1_1(a194)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[644, 1827])).
% 1.20/1.05 tff(1829,plain,
% 1.20/1.05 (~c2_1(a194)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[638, 1827])).
% 1.20/1.05 tff(1830,plain,
% 1.20/1.05 (c0_1(a194) | c3_1(a194)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1284, 160, 1269, 11, 581])).
% 1.20/1.05 tff(1831,plain,
% 1.20/1.05 (c3_1(a194)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1830, 1270])).
% 1.20/1.05 tff(1832,plain,
% 1.20/1.05 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | c0_1(a194) | c1_1(a194) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a194) | c1_1(a194) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a194)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(1833,plain,
% 1.20/1.05 ((hskp2 | (~ndr1_0) | c3_1(a190) | (~c1_1(a190)) | (~c0_1(a190)) | c1_1(a194) | c0_1(a194) | (~c3_1(a194))) <=> (hskp2 | c0_1(a194) | c1_1(a194) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a194)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(1834,plain,
% 1.20/1.05 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a190) | (~c1_1(a190)) | (~c0_1(a190)) | c1_1(a194) | c0_1(a194) | (~c3_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | c0_1(a194) | c1_1(a194) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a194))))),
% 1.20/1.05 inference(monotonicity,[status(thm)],[1833])).
% 1.20/1.05 tff(1835,plain,
% 1.20/1.05 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a190) | (~c1_1(a190)) | (~c0_1(a190)) | c1_1(a194) | c0_1(a194) | (~c3_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a194) | c1_1(a194) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a194)))),
% 1.20/1.05 inference(transitivity,[status(thm)],[1834, 1832])).
% 1.20/1.05 tff(1836,plain,
% 1.20/1.05 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp2 | (~ndr1_0) | c3_1(a190) | (~c1_1(a190)) | (~c0_1(a190)) | c1_1(a194) | c0_1(a194) | (~c3_1(a194)))),
% 1.20/1.05 inference(quant_inst,[status(thm)],[])).
% 1.20/1.05 tff(1837,plain,
% 1.20/1.05 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp2 | c0_1(a194) | c1_1(a194) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a194))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[1836, 1835])).
% 1.20/1.05 tff(1838,plain,
% 1.20/1.05 (c0_1(a194) | (~c1_1(a190)) | (~c3_1(a194))),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1837, 160, 14, 892, 12, 13, 1229])).
% 1.20/1.05 tff(1839,plain,
% 1.20/1.05 (~c1_1(a190)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[1838, 1270, 1831])).
% 1.20/1.05 tff(1840,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a194) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | (~c3_1(a194)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a194) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | (~c3_1(a194)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(1841,plain,
% 1.20/1.05 (((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a190) | c1_1(a190) | (~c2_1(a190)) | c2_1(a194) | c0_1(a194) | (~c3_1(a194))) <=> (c0_1(a194) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | (~c3_1(a194)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(1842,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a190) | c1_1(a190) | (~c2_1(a190)) | c2_1(a194) | c0_1(a194) | (~c3_1(a194)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a194) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | (~c3_1(a194))))),
% 1.20/1.05 inference(monotonicity,[status(thm)],[1841])).
% 1.20/1.05 tff(1843,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a190) | c1_1(a190) | (~c2_1(a190)) | c2_1(a194) | c0_1(a194) | (~c3_1(a194)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a194) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | (~c3_1(a194)))),
% 1.20/1.05 inference(transitivity,[status(thm)],[1842, 1840])).
% 1.20/1.05 tff(1844,plain,
% 1.20/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a190) | c1_1(a190) | (~c2_1(a190)) | c2_1(a194) | c0_1(a194) | (~c3_1(a194)))),
% 1.20/1.06 inference(quant_inst,[status(thm)],[])).
% 1.20/1.06 tff(1845,plain,
% 1.20/1.06 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a194) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | (~c3_1(a194))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1844, 1843])).
% 1.20/1.06 tff(1846,plain,
% 1.20/1.06 (c0_1(a194) | c1_1(a190) | (~c3_1(a194))),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1845, 160, 892, 847, 11, 13, 493])).
% 1.20/1.06 tff(1847,plain,
% 1.20/1.06 ($false),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1846, 1839, 1831, 1270])).
% 1.20/1.06 tff(1848,plain,(c0_1(a194) | (~c0_1(a190)) | (~c2_1(a190)) | c2_1(a194) | c3_1(a190) | hskp2 | c1_1(a194) | hskp6), inference(lemma,lemma(discharge,[]))).
% 1.20/1.06 tff(1849,plain,
% 1.20/1.06 (c0_1(a194)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1848, 12, 1244, 11, 1242, 14, 1243, 1269])).
% 1.20/1.06 tff(1850,plain,
% 1.20/1.06 (c3_1(a194)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1477, 1849, 1210, 1259, 11, 12, 1211])).
% 1.20/1.06 tff(1851,plain,
% 1.20/1.06 (c1_1(a190)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1811, 1210, 1259, 14, 1211])).
% 1.20/1.06 tff(1852,assumption,(hskp13), introduced(assumption)).
% 1.20/1.06 tff(1853,plain,
% 1.20/1.06 (~c0_1(a209)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[423, 1852])).
% 1.20/1.06 tff(1854,plain,
% 1.20/1.06 (c0_1(a194)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1848, 12, 847, 11, 13, 14, 892, 1269])).
% 1.20/1.06 tff(1855,plain,
% 1.20/1.06 (c1_1(a209)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[445, 1852])).
% 1.20/1.06 tff(1856,plain,
% 1.20/1.06 (~c2_1(a209)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1503, 160, 14, 1855, 1854, 1853, 12, 11, 25])).
% 1.20/1.06 tff(1857,plain,
% 1.20/1.06 (c3_1(a209)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[434, 1852])).
% 1.20/1.06 tff(1858,plain,
% 1.20/1.06 (hskp0),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1628, 1856, 11, 1506, 1855, 1857, 1853, 12, 1854])).
% 1.20/1.06 tff(1859,plain,
% 1.20/1.06 (~c3_1(a188)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[662, 1858])).
% 1.20/1.06 tff(1860,plain,
% 1.20/1.06 (~c1_1(a188)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[668, 1858])).
% 1.20/1.06 tff(1861,plain,
% 1.20/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a209) | c3_1(a190) | c1_1(a188) | c3_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c2_1(a190)) | (~c0_1(a190)) | c2_1(a209) | (~c3_1(a209)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a209) | c3_1(a190) | c1_1(a188) | c3_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c2_1(a190)) | (~c0_1(a190)) | c2_1(a209) | (~c3_1(a209)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1862,plain,
% 1.20/1.06 (((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a188) | c1_1(a188) | (~c2_1(a188)) | c2_1(a209) | c0_1(a209) | (~c3_1(a209))) <=> (c0_1(a209) | c3_1(a190) | c1_1(a188) | c3_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c2_1(a190)) | (~c0_1(a190)) | c2_1(a209) | (~c3_1(a209)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1863,plain,
% 1.20/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a188) | c1_1(a188) | (~c2_1(a188)) | c2_1(a209) | c0_1(a209) | (~c3_1(a209)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a209) | c3_1(a190) | c1_1(a188) | c3_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c2_1(a190)) | (~c0_1(a190)) | c2_1(a209) | (~c3_1(a209))))),
% 1.20/1.06 inference(monotonicity,[status(thm)],[1862])).
% 1.20/1.06 tff(1864,plain,
% 1.20/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a188) | c1_1(a188) | (~c2_1(a188)) | c2_1(a209) | c0_1(a209) | (~c3_1(a209)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a209) | c3_1(a190) | c1_1(a188) | c3_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c2_1(a190)) | (~c0_1(a190)) | c2_1(a209) | (~c3_1(a209)))),
% 1.20/1.06 inference(transitivity,[status(thm)],[1863, 1861])).
% 1.20/1.06 tff(1865,plain,
% 1.20/1.06 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a188) | c1_1(a188) | (~c2_1(a188)) | c2_1(a209) | c0_1(a209) | (~c3_1(a209)))),
% 1.20/1.06 inference(quant_inst,[status(thm)],[])).
% 1.20/1.06 tff(1866,plain,
% 1.20/1.06 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a209) | c3_1(a190) | c1_1(a188) | c3_1(a188) | (~ndr1_0) | (~c2_1(a188)) | (~c2_1(a190)) | (~c0_1(a190)) | c2_1(a209) | (~c3_1(a209))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1865, 1864])).
% 1.20/1.06 tff(1867,plain,
% 1.20/1.06 (~c2_1(a188)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1866, 160, 1857, 892, 847, 1853, 13, 1860, 1859, 493, 1856])).
% 1.20/1.06 tff(1868,plain,
% 1.20/1.06 (~c0_1(a188)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[674, 1858])).
% 1.20/1.06 tff(1869,plain,
% 1.20/1.06 ($false),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1637, 160, 1269, 1868, 1859, 581, 1867])).
% 1.20/1.06 tff(1870,plain,((~hskp13) | hskp6 | (~c0_1(a190)) | (~c2_1(a190)) | c3_1(a190) | c2_1(a194) | (~c3_1(a194)) | c1_1(a194) | hskp2), inference(lemma,lemma(discharge,[]))).
% 1.20/1.06 tff(1871,plain,
% 1.20/1.06 (~hskp13),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1870, 1850, 1243, 1244, 1242, 11, 1269, 12, 14])).
% 1.20/1.06 tff(1872,plain,
% 1.20/1.06 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp13 | c1_1(a194) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp13 | c1_1(a194) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a194)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1873,plain,
% 1.20/1.06 ((hskp13 | (~ndr1_0) | c3_1(a190) | (~c1_1(a190)) | (~c0_1(a190)) | c1_1(a194) | c2_1(a194) | (~c3_1(a194))) <=> (hskp13 | c1_1(a194) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a194)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1874,plain,
% 1.20/1.06 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp13 | (~ndr1_0) | c3_1(a190) | (~c1_1(a190)) | (~c0_1(a190)) | c1_1(a194) | c2_1(a194) | (~c3_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp13 | c1_1(a194) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a194))))),
% 1.20/1.06 inference(monotonicity,[status(thm)],[1873])).
% 1.20/1.06 tff(1875,plain,
% 1.20/1.06 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp13 | (~ndr1_0) | c3_1(a190) | (~c1_1(a190)) | (~c0_1(a190)) | c1_1(a194) | c2_1(a194) | (~c3_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp13 | c1_1(a194) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a194)))),
% 1.20/1.06 inference(transitivity,[status(thm)],[1874, 1872])).
% 1.20/1.06 tff(1876,plain,
% 1.20/1.06 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp13 | (~ndr1_0) | c3_1(a190) | (~c1_1(a190)) | (~c0_1(a190)) | c1_1(a194) | c2_1(a194) | (~c3_1(a194)))),
% 1.20/1.06 inference(quant_inst,[status(thm)],[])).
% 1.20/1.06 tff(1877,plain,
% 1.20/1.06 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp13 | c1_1(a194) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | (~c1_1(a190)) | (~c3_1(a194))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1876, 1875])).
% 1.20/1.06 tff(1878,plain,
% 1.20/1.06 ($false),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1877, 160, 1871, 1243, 12, 11, 1242, 1488, 1851, 1850])).
% 1.20/1.06 tff(1879,plain,(c1_1(a194) | c2_1(a194) | hskp6 | hskp2 | (~c1_1(a230)) | (~c2_1(a230)) | (~c0_1(a230))), inference(lemma,lemma(discharge,[]))).
% 1.20/1.06 tff(1880,plain,
% 1.20/1.06 ($false),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1879, 1829, 1828, 1795, 1165, 1199, 1188, 1177])).
% 1.20/1.06 tff(1881,plain,(hskp15), inference(lemma,lemma(discharge,[]))).
% 1.20/1.06 tff(1882,plain,
% 1.20/1.06 (((~hskp15) | (~c3_1(a214))) <=> ((~hskp15) | (~c3_1(a214)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1883,plain,
% 1.20/1.06 (((~c3_1(a214)) | (~hskp15)) <=> ((~hskp15) | (~c3_1(a214)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1884,axiom,((~c3_1(a214)) | (~hskp15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause84')).
% 1.20/1.06 tff(1885,plain,
% 1.20/1.06 ((~hskp15) | (~c3_1(a214))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1884, 1883])).
% 1.20/1.06 tff(1886,plain,
% 1.20/1.06 ((~hskp15) | (~c3_1(a214))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1885, 1882])).
% 1.20/1.06 tff(1887,plain,
% 1.20/1.06 (~c3_1(a214)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1886, 1881])).
% 1.20/1.06 tff(1888,plain,
% 1.20/1.06 (((~hskp15) | (~c0_1(a214))) <=> ((~hskp15) | (~c0_1(a214)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1889,plain,
% 1.20/1.06 (((~c0_1(a214)) | (~hskp15)) <=> ((~hskp15) | (~c0_1(a214)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1890,axiom,((~c0_1(a214)) | (~hskp15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause83')).
% 1.20/1.06 tff(1891,plain,
% 1.20/1.06 ((~hskp15) | (~c0_1(a214))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1890, 1889])).
% 1.20/1.06 tff(1892,plain,
% 1.20/1.06 ((~hskp15) | (~c0_1(a214))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1891, 1888])).
% 1.20/1.06 tff(1893,plain,
% 1.20/1.06 (~c0_1(a214)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1892, 1881])).
% 1.20/1.06 tff(1894,plain,
% 1.20/1.06 (((~hskp15) | c2_1(a214)) <=> ((~hskp15) | c2_1(a214))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1895,axiom,((~hskp15) | c2_1(a214)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause51')).
% 1.20/1.06 tff(1896,plain,
% 1.20/1.06 ((~hskp15) | c2_1(a214)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1895, 1894])).
% 1.20/1.06 tff(1897,plain,
% 1.20/1.06 ((~hskp15) | c2_1(a214)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1896, 1894])).
% 1.20/1.06 tff(1898,plain,
% 1.20/1.06 ((~hskp15) | c2_1(a214)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1897, 1894])).
% 1.20/1.06 tff(1899,plain,
% 1.20/1.06 ((~hskp15) | c2_1(a214)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1898, 1894])).
% 1.20/1.06 tff(1900,plain,
% 1.20/1.06 ((~hskp15) | c2_1(a214)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1899, 1894])).
% 1.20/1.06 tff(1901,plain,
% 1.20/1.06 ((~hskp15) | c2_1(a214)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1900, 1894])).
% 1.20/1.06 tff(1902,plain,
% 1.20/1.06 ((~hskp15) | c2_1(a214)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1901, 1894])).
% 1.20/1.06 tff(1903,plain,
% 1.20/1.06 ((~hskp15) | c2_1(a214)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1902, 1894])).
% 1.20/1.06 tff(1904,plain,
% 1.20/1.06 (c2_1(a214)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1903, 1881])).
% 1.20/1.06 tff(1905,plain,
% 1.20/1.06 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a214) | c3_1(a214) | (~ndr1_0) | (~c1_1(a214)) | (~c2_1(a214)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a214) | c3_1(a214) | (~ndr1_0) | (~c1_1(a214)) | (~c2_1(a214)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1906,plain,
% 1.20/1.06 ((hskp5 | (~ndr1_0) | c3_1(a214) | c0_1(a214) | (~c2_1(a214)) | c3_1(a214) | c0_1(a214) | (~c1_1(a214))) <=> (hskp5 | c0_1(a214) | c3_1(a214) | (~ndr1_0) | (~c1_1(a214)) | (~c2_1(a214)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1907,plain,
% 1.20/1.06 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c3_1(a214) | c0_1(a214) | (~c2_1(a214)) | c3_1(a214) | c0_1(a214) | (~c1_1(a214)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a214) | c3_1(a214) | (~ndr1_0) | (~c1_1(a214)) | (~c2_1(a214))))),
% 1.20/1.06 inference(monotonicity,[status(thm)],[1906])).
% 1.20/1.06 tff(1908,plain,
% 1.20/1.06 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c3_1(a214) | c0_1(a214) | (~c2_1(a214)) | c3_1(a214) | c0_1(a214) | (~c1_1(a214)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a214) | c3_1(a214) | (~ndr1_0) | (~c1_1(a214)) | (~c2_1(a214)))),
% 1.20/1.06 inference(transitivity,[status(thm)],[1907, 1905])).
% 1.20/1.06 tff(1909,plain,
% 1.20/1.06 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c3_1(a214) | c0_1(a214) | (~c2_1(a214)) | c3_1(a214) | c0_1(a214) | (~c1_1(a214)))),
% 1.20/1.06 inference(quant_inst,[status(thm)],[])).
% 1.20/1.06 tff(1910,plain,
% 1.20/1.06 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a214) | c3_1(a214) | (~ndr1_0) | (~c1_1(a214)) | (~c2_1(a214))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1909, 1908])).
% 1.20/1.06 tff(1911,plain,
% 1.20/1.06 (hskp5 | (~c1_1(a214))),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1910, 160, 1904, 1893, 1887, 35])).
% 1.20/1.06 tff(1912,plain,
% 1.20/1.06 (hskp5),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1911, 15])).
% 1.20/1.06 tff(1913,plain,
% 1.20/1.06 (~c1_1(a194)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[644, 1912])).
% 1.20/1.06 tff(1914,plain,
% 1.20/1.06 (c0_1(a194)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[655, 1912])).
% 1.20/1.06 tff(1915,plain,
% 1.20/1.06 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | c0_1(a214) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a214)) | (~c2_1(a214)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp2 | c0_1(a214) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a214)) | (~c2_1(a214)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1916,plain,
% 1.20/1.06 ((hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a214) | (~c1_1(a214)) | (~c2_1(a214))) <=> (hskp2 | c0_1(a214) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a214)) | (~c2_1(a214)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1917,plain,
% 1.20/1.06 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a214) | (~c1_1(a214)) | (~c2_1(a214)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | c0_1(a214) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a214)) | (~c2_1(a214))))),
% 1.20/1.06 inference(monotonicity,[status(thm)],[1916])).
% 1.20/1.06 tff(1918,plain,
% 1.20/1.06 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a214) | (~c1_1(a214)) | (~c2_1(a214)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp2 | c0_1(a214) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a214)) | (~c2_1(a214)))),
% 1.20/1.06 inference(transitivity,[status(thm)],[1917, 1915])).
% 1.20/1.06 tff(1919,plain,
% 1.20/1.06 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp2 | (~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a214) | (~c1_1(a214)) | (~c2_1(a214)))),
% 1.20/1.06 inference(quant_inst,[status(thm)],[])).
% 1.20/1.06 tff(1920,plain,
% 1.20/1.06 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp2 | c0_1(a214) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a214)) | (~c2_1(a214))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1919, 1918])).
% 1.20/1.06 tff(1921,plain,
% 1.20/1.06 ($false),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1920, 160, 14, 1904, 1914, 1893, 1913, 11, 25, 15])).
% 1.20/1.06 tff(1922,plain,((~c1_1(a214)) | hskp2 | c2_1(a194)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.06 tff(1923,plain,
% 1.20/1.06 (~c1_1(a214)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1922, 14, 11])).
% 1.20/1.06 tff(1924,plain,
% 1.20/1.06 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | c0_1(a214) | c3_1(a214) | (~ndr1_0) | c1_1(a214))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c0_1(a214) | c3_1(a214) | (~ndr1_0) | c1_1(a214))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1925,plain,
% 1.20/1.06 ((hskp1 | (~ndr1_0) | c3_1(a214) | c1_1(a214) | c0_1(a214)) <=> (hskp1 | c0_1(a214) | c3_1(a214) | (~ndr1_0) | c1_1(a214))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1926,plain,
% 1.20/1.06 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a214) | c1_1(a214) | c0_1(a214))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | c0_1(a214) | c3_1(a214) | (~ndr1_0) | c1_1(a214)))),
% 1.20/1.06 inference(monotonicity,[status(thm)],[1925])).
% 1.20/1.06 tff(1927,plain,
% 1.20/1.06 (((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a214) | c1_1(a214) | c0_1(a214))) <=> ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c0_1(a214) | c3_1(a214) | (~ndr1_0) | c1_1(a214))),
% 1.20/1.06 inference(transitivity,[status(thm)],[1926, 1924])).
% 1.20/1.06 tff(1928,plain,
% 1.20/1.06 ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | (hskp1 | (~ndr1_0) | c3_1(a214) | c1_1(a214) | c0_1(a214))),
% 1.20/1.06 inference(quant_inst,[status(thm)],[])).
% 1.20/1.06 tff(1929,plain,
% 1.20/1.06 ((~![U: $i] : (hskp1 | (~ndr1_0) | c3_1(U) | c1_1(U) | c0_1(U))) | hskp1 | c0_1(a214) | c3_1(a214) | (~ndr1_0) | c1_1(a214)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1928, 1927])).
% 1.20/1.06 tff(1930,plain,
% 1.20/1.06 (hskp1 | c1_1(a214)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1929, 160, 1893, 1887, 118])).
% 1.20/1.06 tff(1931,plain,
% 1.20/1.06 (hskp1),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1930, 1923])).
% 1.20/1.06 tff(1932,plain,
% 1.20/1.06 (c0_1(a190)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[218, 1931])).
% 1.20/1.06 tff(1933,plain,
% 1.20/1.06 (c2_1(a190)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[207, 1931])).
% 1.20/1.06 tff(1934,plain,
% 1.20/1.06 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp19 | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1935,plain,
% 1.20/1.06 ((hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214))) <=> (hskp19 | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1936,plain,
% 1.20/1.06 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214))))),
% 1.20/1.06 inference(monotonicity,[status(thm)],[1935])).
% 1.20/1.06 tff(1937,plain,
% 1.20/1.06 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp19 | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)))),
% 1.20/1.06 inference(transitivity,[status(thm)],[1936, 1934])).
% 1.20/1.06 tff(1938,plain,
% 1.20/1.06 ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp19 | (~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)))),
% 1.20/1.06 inference(quant_inst,[status(thm)],[])).
% 1.20/1.06 tff(1939,plain,
% 1.20/1.06 ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp19 | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1938, 1937])).
% 1.20/1.06 tff(1940,plain,
% 1.20/1.06 (hskp19 | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1939, 160, 1904, 1887, 13, 229])).
% 1.20/1.06 tff(1941,plain,
% 1.20/1.06 (hskp19),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1940, 1932, 1933, 1923])).
% 1.20/1.06 tff(1942,plain,
% 1.20/1.06 (~c1_1(a190)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1818, 1941, 1932, 13, 14])).
% 1.20/1.06 tff(1943,assumption,(~c1_1(a214)), introduced(assumption)).
% 1.20/1.06 tff(1944,assumption,(hskp22), introduced(assumption)).
% 1.20/1.06 tff(1945,plain,
% 1.20/1.06 (((~hskp22) | (~c2_1(a259))) <=> ((~hskp22) | (~c2_1(a259)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1946,plain,
% 1.20/1.06 (((~c2_1(a259)) | (~hskp22)) <=> ((~hskp22) | (~c2_1(a259)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1947,axiom,((~c2_1(a259)) | (~hskp22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause71')).
% 1.20/1.06 tff(1948,plain,
% 1.20/1.06 ((~hskp22) | (~c2_1(a259))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1947, 1946])).
% 1.20/1.06 tff(1949,plain,
% 1.20/1.06 ((~hskp22) | (~c2_1(a259))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1948, 1945])).
% 1.20/1.06 tff(1950,plain,
% 1.20/1.06 (~c2_1(a259)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1949, 1944])).
% 1.20/1.06 tff(1951,plain,
% 1.20/1.06 (((~hskp22) | (~c0_1(a259))) <=> ((~hskp22) | (~c0_1(a259)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1952,plain,
% 1.20/1.06 (((~c0_1(a259)) | (~hskp22)) <=> ((~hskp22) | (~c0_1(a259)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1953,axiom,((~c0_1(a259)) | (~hskp22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause70')).
% 1.20/1.06 tff(1954,plain,
% 1.20/1.06 ((~hskp22) | (~c0_1(a259))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1953, 1952])).
% 1.20/1.06 tff(1955,plain,
% 1.20/1.06 ((~hskp22) | (~c0_1(a259))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1954, 1951])).
% 1.20/1.06 tff(1956,plain,
% 1.20/1.06 (~c0_1(a259)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1955, 1944])).
% 1.20/1.06 tff(1957,plain,
% 1.20/1.06 (hskp1),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1930, 1943])).
% 1.20/1.06 tff(1958,plain,
% 1.20/1.06 (c2_1(a190)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[207, 1957])).
% 1.20/1.06 tff(1959,plain,
% 1.20/1.06 (c0_1(a190)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[218, 1957])).
% 1.20/1.06 tff(1960,plain,
% 1.20/1.06 (((~hskp22) | c3_1(a259)) <=> ((~hskp22) | c3_1(a259))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1961,axiom,((~hskp22) | c3_1(a259)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause43')).
% 1.20/1.06 tff(1962,plain,
% 1.20/1.06 ((~hskp22) | c3_1(a259)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1961, 1960])).
% 1.20/1.06 tff(1963,plain,
% 1.20/1.06 ((~hskp22) | c3_1(a259)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1962, 1960])).
% 1.20/1.06 tff(1964,plain,
% 1.20/1.06 ((~hskp22) | c3_1(a259)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1963, 1960])).
% 1.20/1.06 tff(1965,plain,
% 1.20/1.06 ((~hskp22) | c3_1(a259)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1964, 1960])).
% 1.20/1.06 tff(1966,plain,
% 1.20/1.06 ((~hskp22) | c3_1(a259)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1965, 1960])).
% 1.20/1.06 tff(1967,plain,
% 1.20/1.06 ((~hskp22) | c3_1(a259)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1966, 1960])).
% 1.20/1.06 tff(1968,plain,
% 1.20/1.06 ((~hskp22) | c3_1(a259)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1967, 1960])).
% 1.20/1.06 tff(1969,plain,
% 1.20/1.06 ((~hskp22) | c3_1(a259)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1968, 1960])).
% 1.20/1.06 tff(1970,plain,
% 1.20/1.06 (c3_1(a259)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1969, 1944])).
% 1.20/1.06 tff(1971,plain,
% 1.20/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a259) | c2_1(a259) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | (~c3_1(a259)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a259) | c2_1(a259) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | (~c3_1(a259)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1972,plain,
% 1.20/1.06 (((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a259) | c0_1(a259) | (~c3_1(a259))) <=> (c0_1(a259) | c2_1(a259) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | (~c3_1(a259)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1973,plain,
% 1.20/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a259) | c0_1(a259) | (~c3_1(a259)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a259) | c2_1(a259) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | (~c3_1(a259))))),
% 1.20/1.06 inference(monotonicity,[status(thm)],[1972])).
% 1.20/1.06 tff(1974,plain,
% 1.20/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a259) | c0_1(a259) | (~c3_1(a259)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a259) | c2_1(a259) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | (~c3_1(a259)))),
% 1.20/1.06 inference(transitivity,[status(thm)],[1973, 1971])).
% 1.20/1.06 tff(1975,plain,
% 1.20/1.06 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a259) | c0_1(a259) | (~c3_1(a259)))),
% 1.20/1.06 inference(quant_inst,[status(thm)],[])).
% 1.20/1.06 tff(1976,plain,
% 1.20/1.06 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a259) | c2_1(a259) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | (~c3_1(a259))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1975, 1974])).
% 1.20/1.06 tff(1977,plain,
% 1.20/1.06 ($false),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1976, 160, 1970, 1904, 1959, 1958, 1956, 1950, 1887, 13, 493, 1943])).
% 1.20/1.06 tff(1978,plain,((~hskp22) | c3_1(a190) | c1_1(a214)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.06 tff(1979,plain,
% 1.20/1.06 (~hskp22),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[1978, 1923, 13])).
% 1.20/1.06 tff(1980,plain,
% 1.20/1.06 ((hskp24 | hskp22 | hskp2) <=> (hskp24 | hskp22 | hskp2)),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1981,plain,
% 1.20/1.06 (((hskp24 | hskp22) | hskp2) <=> (hskp24 | hskp22 | hskp2)),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1982,plain,
% 1.20/1.06 ((hskp24 | hskp22) <=> (hskp24 | hskp22)),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(1983,plain,
% 1.20/1.06 (((hskp24 | hskp22) | hskp2) <=> ((hskp24 | hskp22) | hskp2)),
% 1.20/1.06 inference(monotonicity,[status(thm)],[1982])).
% 1.20/1.06 tff(1984,plain,
% 1.20/1.06 (((hskp24 | hskp22) | hskp2) <=> (hskp24 | hskp22 | hskp2)),
% 1.20/1.06 inference(transitivity,[status(thm)],[1983, 1981])).
% 1.20/1.06 tff(1985,axiom,((hskp24 | hskp22) | hskp2), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause31')).
% 1.20/1.06 tff(1986,plain,
% 1.20/1.06 (hskp24 | hskp22 | hskp2),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1985, 1984])).
% 1.20/1.06 tff(1987,plain,
% 1.20/1.06 (hskp24 | hskp22 | hskp2),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1986, 1980])).
% 1.20/1.06 tff(1988,plain,
% 1.20/1.06 (hskp24 | hskp22 | hskp2),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1987, 1980])).
% 1.20/1.06 tff(1989,plain,
% 1.20/1.06 (hskp24 | hskp22 | hskp2),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[1988, 1980])).
% 1.20/1.07 tff(1990,plain,
% 1.20/1.07 (hskp24 | hskp22 | hskp2),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[1989, 1980])).
% 1.20/1.07 tff(1991,plain,
% 1.20/1.07 (hskp24 | hskp22 | hskp2),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[1990, 1980])).
% 1.20/1.07 tff(1992,plain,
% 1.20/1.07 (hskp24 | hskp22 | hskp2),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[1991, 1980])).
% 1.20/1.07 tff(1993,plain,
% 1.20/1.07 (hskp24 | hskp22 | hskp2),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[1992, 1980])).
% 1.20/1.07 tff(1994,plain,
% 1.20/1.07 (hskp24),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[1993, 1979, 14])).
% 1.20/1.07 tff(1995,plain,
% 1.20/1.07 (c3_1(a215)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[372, 1994])).
% 1.20/1.07 tff(1996,plain,
% 1.20/1.07 (c2_1(a215)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[383, 1994])).
% 1.20/1.07 tff(1997,plain,
% 1.20/1.07 (c1_1(a215)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[394, 1994])).
% 1.20/1.07 tff(1998,plain,
% 1.20/1.07 (~c0_1(a215)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[1311, 160, 1997, 1996, 1995, 1932, 13, 512, 1942])).
% 1.20/1.07 tff(1999,plain,
% 1.20/1.07 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))))),
% 1.20/1.07 inference(bind,[status(th)],[])).
% 1.20/1.07 tff(2000,plain,
% 1.20/1.07 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.07 inference(quant_intro,[status(thm)],[1999])).
% 1.20/1.07 tff(2001,plain,
% 1.20/1.07 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(2002,plain,
% 1.20/1.07 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c3_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c3_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(V)))), ((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(V))))), (((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V)))), (((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V))))), ((((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c2_1(W))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V))) | (~c2_1(W))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W)))), ((((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W))))), (((((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c2_1(W))) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W)))), (((((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c2_1(W))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W))))), ((((((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W))) | c2_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W)))), ((((((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W))))), (((((((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W))) | c0_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W))) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W)))), (((((((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W))))), ((((((((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c2_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | (~c2_1(W)))), ((((((((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | (~c2_1(W))))), (((((((((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | (~c2_1(W))) | c1_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | (~c2_1(W))) | c1_1(W)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))), (((((((((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))))),
% 1.20/1.07 inference(bind,[status(th)],[])).
% 1.20/1.07 tff(2003,plain,
% 1.20/1.07 (![W: $i, V: $i, U: $i] : ((((((((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.07 inference(quant_intro,[status(thm)],[2002])).
% 1.20/1.07 tff(2004,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c3_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c2_1(W))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause154')).
% 1.20/1.07 tff(2005,plain,
% 1.20/1.07 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[2004, 2003])).
% 1.20/1.07 tff(2006,plain,
% 1.20/1.07 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[2005, 2001])).
% 1.20/1.07 tff(2007,plain,(
% 1.20/1.07 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.07 inference(skolemize,[status(sab)],[2006])).
% 1.20/1.07 tff(2008,plain,
% 1.20/1.07 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[2007, 2000])).
% 1.20/1.07 tff(2009,plain,
% 1.20/1.07 (~c1_1(a225)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[459, 1941])).
% 1.20/1.07 tff(2010,plain,
% 1.20/1.07 (c3_1(a225)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[247, 1941])).
% 1.20/1.07 tff(2011,plain,
% 1.20/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c1_1(a225) | c0_1(a214) | (~ndr1_0) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a225) | c0_1(a214) | (~ndr1_0) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(2012,plain,
% 1.20/1.07 (((~ndr1_0) | c1_1(a225) | c2_1(a225) | (~c3_1(a225)) | c0_1(a215) | (~c1_1(a215)) | (~c2_1(a215)) | c1_1(a214) | c0_1(a214) | (~c2_1(a214))) <=> (c1_1(a225) | c0_1(a214) | (~ndr1_0) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(2013,plain,
% 1.20/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a225) | c2_1(a225) | (~c3_1(a225)) | c0_1(a215) | (~c1_1(a215)) | (~c2_1(a215)) | c1_1(a214) | c0_1(a214) | (~c2_1(a214)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c1_1(a225) | c0_1(a214) | (~ndr1_0) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225))))),
% 1.20/1.07 inference(monotonicity,[status(thm)],[2012])).
% 1.20/1.07 tff(2014,plain,
% 1.20/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a225) | c2_1(a225) | (~c3_1(a225)) | c0_1(a215) | (~c1_1(a215)) | (~c2_1(a215)) | c1_1(a214) | c0_1(a214) | (~c2_1(a214)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a225) | c0_1(a214) | (~ndr1_0) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225)))),
% 1.20/1.07 inference(transitivity,[status(thm)],[2013, 2011])).
% 1.20/1.07 tff(2015,plain,
% 1.20/1.07 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a225) | c2_1(a225) | (~c3_1(a225)) | c0_1(a215) | (~c1_1(a215)) | (~c2_1(a215)) | c1_1(a214) | c0_1(a214) | (~c2_1(a214)))),
% 1.20/1.07 inference(quant_inst,[status(thm)],[])).
% 1.20/1.07 tff(2016,plain,
% 1.20/1.07 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a225) | c0_1(a214) | (~ndr1_0) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[2015, 2014])).
% 1.20/1.07 tff(2017,plain,
% 1.20/1.07 (c2_1(a225)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[2016, 160, 1997, 1996, 2010, 1904, 2009, 1893, 2008, 1998, 1923])).
% 1.20/1.07 tff(2018,plain,
% 1.20/1.07 (~c0_1(a225)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[253, 1941])).
% 1.20/1.07 tff(2019,plain,
% 1.20/1.07 (c0_1(a194) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | (~c3_1(a194))),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[1845, 160, 11, 13, 493])).
% 1.20/1.07 tff(2020,plain,
% 1.20/1.07 (~c3_1(a194)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[2019, 1270, 1933, 1932, 1942])).
% 1.20/1.07 tff(2021,plain,
% 1.20/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a194) | c0_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | c2_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a194) | c0_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | c2_1(a225) | (~c3_1(a225)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(2022,plain,
% 1.20/1.07 (((~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c3_1(a225)) | c3_1(a194) | c1_1(a194) | c2_1(a194) | c2_1(a194) | c1_1(a194) | c0_1(a194)) <=> (c0_1(a194) | c0_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | c2_1(a225) | (~c3_1(a225)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(2023,plain,
% 1.20/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c3_1(a225)) | c3_1(a194) | c1_1(a194) | c2_1(a194) | c2_1(a194) | c1_1(a194) | c0_1(a194))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a194) | c0_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | c2_1(a225) | (~c3_1(a225))))),
% 1.20/1.07 inference(monotonicity,[status(thm)],[2022])).
% 1.20/1.07 tff(2024,plain,
% 1.20/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c3_1(a225)) | c3_1(a194) | c1_1(a194) | c2_1(a194) | c2_1(a194) | c1_1(a194) | c0_1(a194))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a194) | c0_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | c2_1(a225) | (~c3_1(a225)))),
% 1.20/1.07 inference(transitivity,[status(thm)],[2023, 2021])).
% 1.20/1.07 tff(2025,plain,
% 1.20/1.07 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c0_1(a225) | c2_1(a225) | (~c3_1(a225)) | c3_1(a194) | c1_1(a194) | c2_1(a194) | c2_1(a194) | c1_1(a194) | c0_1(a194))),
% 1.20/1.07 inference(quant_inst,[status(thm)],[])).
% 1.20/1.07 tff(2026,plain,
% 1.20/1.07 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | c2_1(U) | (~c3_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a194) | c0_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | c2_1(a225) | (~c3_1(a225))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[2025, 2024])).
% 1.20/1.07 tff(2027,plain,
% 1.20/1.07 (c2_1(a225)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[2026, 160, 2010, 1270, 2018, 12, 11, 285, 2020])).
% 1.20/1.07 tff(2028,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | c0_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | (~c2_1(a225)) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c0_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | (~c2_1(a225)) | (~c3_1(a225)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(2029,plain,
% 1.20/1.07 ((hskp13 | (~ndr1_0) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225)) | c3_1(a194) | c1_1(a194) | c2_1(a194)) <=> (hskp13 | c0_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | (~c2_1(a225)) | (~c3_1(a225)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(2030,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225)) | c3_1(a194) | c1_1(a194) | c2_1(a194))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | c0_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | (~c2_1(a225)) | (~c3_1(a225))))),
% 1.20/1.07 inference(monotonicity,[status(thm)],[2029])).
% 1.20/1.07 tff(2031,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225)) | c3_1(a194) | c1_1(a194) | c2_1(a194))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c0_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | (~c2_1(a225)) | (~c3_1(a225)))),
% 1.20/1.07 inference(transitivity,[status(thm)],[2030, 2028])).
% 1.20/1.07 tff(2032,plain,
% 1.20/1.07 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225)) | c3_1(a194) | c1_1(a194) | c2_1(a194))),
% 1.20/1.07 inference(quant_inst,[status(thm)],[])).
% 1.20/1.07 tff(2033,plain,
% 1.20/1.07 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c0_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | (~c2_1(a225)) | (~c3_1(a225))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[2032, 2031])).
% 1.20/1.07 tff(2034,plain,
% 1.20/1.07 (hskp13),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[2033, 160, 2010, 2018, 12, 11, 267, 2027, 2020])).
% 1.20/1.07 tff(2035,plain,
% 1.20/1.07 (~c0_1(a209)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[423, 2034])).
% 1.20/1.07 tff(2036,plain,
% 1.20/1.07 (c3_1(a209)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[434, 2034])).
% 1.20/1.07 tff(2037,plain,
% 1.20/1.07 (c1_1(a209)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[445, 2034])).
% 1.20/1.07 tff(2038,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp10 | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | (~c1_1(a209)) | (~c3_1(a209)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp10 | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(2039,plain,
% 1.20/1.07 ((hskp10 | (~ndr1_0) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c3_1(a194) | c1_1(a194) | c2_1(a194)) <=> (hskp10 | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(2040,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp10 | (~ndr1_0) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c3_1(a194) | c1_1(a194) | c2_1(a194))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp10 | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | (~c1_1(a209)) | (~c3_1(a209))))),
% 1.20/1.07 inference(monotonicity,[status(thm)],[2039])).
% 1.20/1.07 tff(2041,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp10 | (~ndr1_0) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c3_1(a194) | c1_1(a194) | c2_1(a194))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp10 | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | (~c1_1(a209)) | (~c3_1(a209)))),
% 1.20/1.07 inference(transitivity,[status(thm)],[2040, 2038])).
% 1.20/1.07 tff(2042,plain,
% 1.20/1.07 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp10 | (~ndr1_0) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c3_1(a194) | c1_1(a194) | c2_1(a194))),
% 1.20/1.07 inference(quant_inst,[status(thm)],[])).
% 1.20/1.07 tff(2043,plain,
% 1.20/1.07 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp10 | c0_1(a209) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | c3_1(a194) | (~c1_1(a209)) | (~c3_1(a209))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[2042, 2041])).
% 1.20/1.07 tff(2044,plain,
% 1.20/1.07 (hskp10),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[2043, 160, 2037, 2036, 2035, 12, 11, 10, 2020])).
% 1.20/1.07 tff(2045,plain,
% 1.20/1.07 (c0_1(a200)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[331, 2044])).
% 1.20/1.07 tff(2046,plain,
% 1.20/1.07 (hskp6),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[1848, 1270, 1933, 11, 13, 14, 1932, 12])).
% 1.20/1.07 tff(2047,plain,
% 1.20/1.07 (~c3_1(a195)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[594, 2046])).
% 1.20/1.07 tff(2048,plain,
% 1.20/1.07 (~c1_1(a195)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[611, 2046])).
% 1.20/1.07 tff(2049,plain,
% 1.20/1.07 (c0_1(a195)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[605, 2046])).
% 1.20/1.07 tff(2050,plain,
% 1.20/1.07 (c3_1(a200)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[342, 2044])).
% 1.20/1.07 tff(2051,plain,
% 1.20/1.07 (~c1_1(a200)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[409, 2044])).
% 1.20/1.07 tff(2052,plain,
% 1.20/1.07 ($false),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[951, 2051, 2050, 11, 2049, 2048, 2047, 2027, 2036, 2018, 2009, 2035, 2037, 12, 2045])).
% 1.20/1.07 tff(2053,plain,(c0_1(a194) | c2_1(a194) | c1_1(a194) | c3_1(a190) | hskp2), inference(lemma,lemma(discharge,[]))).
% 1.20/1.07 tff(2054,plain,
% 1.20/1.07 (c0_1(a194)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[2053, 12, 11, 13, 14])).
% 1.20/1.07 tff(2055,plain,
% 1.20/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a225) | c1_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)) | (~c2_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | c1_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)) | (~c2_1(a225)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(2056,plain,
% 1.20/1.07 (((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a215) | (~c3_1(a215)) | (~c1_1(a215)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225))) <=> (c0_1(a225) | c1_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)) | (~c2_1(a225)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(2057,plain,
% 1.20/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a215) | (~c3_1(a215)) | (~c1_1(a215)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a225) | c1_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)) | (~c2_1(a225))))),
% 1.20/1.07 inference(monotonicity,[status(thm)],[2056])).
% 1.20/1.07 tff(2058,plain,
% 1.20/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a215) | (~c3_1(a215)) | (~c1_1(a215)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | c1_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)) | (~c2_1(a225)))),
% 1.20/1.07 inference(transitivity,[status(thm)],[2057, 2055])).
% 1.20/1.07 tff(2059,plain,
% 1.20/1.07 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a194) | c2_1(a194) | (~c0_1(a194)) | c0_1(a215) | (~c3_1(a215)) | (~c1_1(a215)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225)))),
% 1.20/1.07 inference(quant_inst,[status(thm)],[])).
% 1.20/1.07 tff(2060,plain,
% 1.20/1.07 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | c1_1(a225) | c1_1(a194) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)) | (~c2_1(a225))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[2059, 2058])).
% 1.20/1.07 tff(2061,plain,
% 1.20/1.07 ($false),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[2060, 160, 1997, 1995, 2054, 2018, 2009, 12, 11, 65, 2017, 1998])).
% 1.20/1.07 tff(2062,plain,(c1_1(a194) | c2_1(a194) | c3_1(a190) | hskp2), inference(lemma,lemma(discharge,[]))).
% 1.20/1.07 tff(2063,plain,
% 1.20/1.07 (c1_1(a194)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[2062, 14, 13, 11])).
% 1.20/1.07 tff(2064,plain,
% 1.20/1.07 (~c3_1(a194)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[2019, 1270, 847, 892, 1301])).
% 1.20/1.07 tff(2065,assumption,(c1_1(a194)), introduced(assumption)).
% 1.20/1.07 tff(2066,plain,
% 1.20/1.07 (~hskp5),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[644, 2065])).
% 1.20/1.07 tff(2067,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a194) | c0_1(a214) | c3_1(a214) | (~c1_1(a194)) | (~ndr1_0) | c3_1(a194) | (~c2_1(a214)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a194) | c0_1(a214) | c3_1(a214) | (~c1_1(a194)) | (~ndr1_0) | c3_1(a194) | (~c2_1(a214)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(2068,plain,
% 1.20/1.07 ((hskp5 | (~ndr1_0) | c3_1(a214) | c0_1(a214) | (~c2_1(a214)) | c3_1(a194) | c0_1(a194) | (~c1_1(a194))) <=> (hskp5 | c0_1(a194) | c0_1(a214) | c3_1(a214) | (~c1_1(a194)) | (~ndr1_0) | c3_1(a194) | (~c2_1(a214)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(2069,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c3_1(a214) | c0_1(a214) | (~c2_1(a214)) | c3_1(a194) | c0_1(a194) | (~c1_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a194) | c0_1(a214) | c3_1(a214) | (~c1_1(a194)) | (~ndr1_0) | c3_1(a194) | (~c2_1(a214))))),
% 1.20/1.07 inference(monotonicity,[status(thm)],[2068])).
% 1.20/1.07 tff(2070,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c3_1(a214) | c0_1(a214) | (~c2_1(a214)) | c3_1(a194) | c0_1(a194) | (~c1_1(a194)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a194) | c0_1(a214) | c3_1(a214) | (~c1_1(a194)) | (~ndr1_0) | c3_1(a194) | (~c2_1(a214)))),
% 1.20/1.07 inference(transitivity,[status(thm)],[2069, 2067])).
% 1.20/1.07 tff(2071,plain,
% 1.20/1.07 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c3_1(a214) | c0_1(a214) | (~c2_1(a214)) | c3_1(a194) | c0_1(a194) | (~c1_1(a194)))),
% 1.20/1.07 inference(quant_inst,[status(thm)],[])).
% 1.20/1.07 tff(2072,plain,
% 1.20/1.07 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a194) | c0_1(a214) | c3_1(a214) | (~c1_1(a194)) | (~ndr1_0) | c3_1(a194) | (~c2_1(a214))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[2071, 2070])).
% 1.20/1.07 tff(2073,plain,
% 1.20/1.07 ($false),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[2072, 160, 2066, 1904, 1270, 1893, 1887, 2065, 35, 2064])).
% 1.20/1.07 tff(2074,plain,(c0_1(a194) | (~c1_1(a194)) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a190) | c2_1(a194) | c3_1(a190)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.07 tff(2075,plain,
% 1.20/1.07 (c0_1(a194)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[2074, 2063, 1933, 1932, 1942, 11, 13])).
% 1.20/1.07 tff(2076,assumption,(hskp25), introduced(assumption)).
% 1.20/1.07 tff(2077,plain,
% 1.20/1.07 (c1_1(a230)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[1198, 2076])).
% 1.20/1.07 tff(2078,plain,
% 1.20/1.07 (c0_1(a230)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[1176, 2076])).
% 1.20/1.07 tff(2079,plain,
% 1.20/1.07 (c2_1(a230)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[1187, 2076])).
% 1.20/1.07 tff(2080,plain,
% 1.20/1.07 ($false),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[1811, 2079, 2078, 1301, 14, 2077])).
% 1.20/1.07 tff(2081,plain,((~hskp25) | c1_1(a190) | hskp2), inference(lemma,lemma(discharge,[]))).
% 1.20/1.07 tff(2082,plain,
% 1.20/1.07 (~hskp25),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[2081, 1942, 14])).
% 1.20/1.07 tff(2083,plain,
% 1.20/1.07 (^[U: $i] : refl((hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))))),
% 1.20/1.07 inference(bind,[status(th)],[])).
% 1.20/1.07 tff(2084,plain,
% 1.20/1.07 (![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.20/1.07 inference(quant_intro,[status(thm)],[2083])).
% 1.20/1.07 tff(2085,plain,
% 1.20/1.07 (![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(2086,plain,
% 1.20/1.07 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp25) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp25))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp25) <=> (hskp25 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp25) <=> (hskp25 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp25) | hskp16) <=> ((hskp25 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp16))), rewrite(((hskp25 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp16) <=> (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp25) | hskp16) <=> (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))))),
% 1.20/1.08 inference(bind,[status(th)],[])).
% 1.20/1.08 tff(2087,plain,
% 1.20/1.08 (![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp25) | hskp16) <=> ![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.20/1.08 inference(quant_intro,[status(thm)],[2086])).
% 1.20/1.08 tff(2088,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp25) | hskp16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause121')).
% 1.20/1.08 tff(2089,plain,
% 1.20/1.08 (![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[2088, 2087])).
% 1.20/1.08 tff(2090,plain,
% 1.20/1.08 (![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[2089, 2085])).
% 1.20/1.08 tff(2091,plain,(
% 1.20/1.08 ![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.20/1.08 inference(skolemize,[status(sab)],[2090])).
% 1.20/1.08 tff(2092,plain,
% 1.20/1.08 (![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[2091, 2084])).
% 1.20/1.08 tff(2093,plain,
% 1.20/1.08 (((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp25 | hskp16 | (~c1_1(a194)) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)))) <=> ((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp25 | hskp16 | (~c1_1(a194)) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2094,plain,
% 1.20/1.08 ((hskp25 | hskp16 | (~ndr1_0) | c2_1(a194) | (~c1_1(a194)) | (~c0_1(a194))) <=> (hskp25 | hskp16 | (~c1_1(a194)) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2095,plain,
% 1.20/1.08 (((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp25 | hskp16 | (~ndr1_0) | c2_1(a194) | (~c1_1(a194)) | (~c0_1(a194)))) <=> ((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp25 | hskp16 | (~c1_1(a194)) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194))))),
% 1.20/1.08 inference(monotonicity,[status(thm)],[2094])).
% 1.20/1.08 tff(2096,plain,
% 1.20/1.08 (((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp25 | hskp16 | (~ndr1_0) | c2_1(a194) | (~c1_1(a194)) | (~c0_1(a194)))) <=> ((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp25 | hskp16 | (~c1_1(a194)) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194)))),
% 1.20/1.08 inference(transitivity,[status(thm)],[2095, 2093])).
% 1.20/1.08 tff(2097,plain,
% 1.20/1.08 ((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp25 | hskp16 | (~ndr1_0) | c2_1(a194) | (~c1_1(a194)) | (~c0_1(a194)))),
% 1.20/1.08 inference(quant_inst,[status(thm)],[])).
% 1.20/1.08 tff(2098,plain,
% 1.20/1.08 ((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp25 | hskp16 | (~c1_1(a194)) | c2_1(a194) | (~ndr1_0) | (~c0_1(a194))),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[2097, 2096])).
% 1.20/1.08 tff(2099,plain,
% 1.20/1.08 (hskp25 | hskp16 | (~c1_1(a194)) | (~c0_1(a194))),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[2098, 160, 11, 2092])).
% 1.20/1.08 tff(2100,plain,
% 1.20/1.08 (hskp16),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[2099, 2082, 2063, 2075])).
% 1.20/1.08 tff(2101,plain,
% 1.20/1.08 (((~hskp16) | (~c2_1(a221))) <=> ((~hskp16) | (~c2_1(a221)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2102,plain,
% 1.20/1.08 (((~c2_1(a221)) | (~hskp16)) <=> ((~hskp16) | (~c2_1(a221)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2103,axiom,((~c2_1(a221)) | (~hskp16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause82')).
% 1.20/1.08 tff(2104,plain,
% 1.20/1.08 ((~hskp16) | (~c2_1(a221))),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[2103, 2102])).
% 1.20/1.08 tff(2105,plain,
% 1.20/1.08 ((~hskp16) | (~c2_1(a221))),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[2104, 2101])).
% 1.20/1.08 tff(2106,plain,
% 1.20/1.08 (~c2_1(a221)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[2105, 2100])).
% 1.20/1.08 tff(2107,plain,
% 1.20/1.08 (((~hskp16) | (~c1_1(a221))) <=> ((~hskp16) | (~c1_1(a221)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2108,plain,
% 1.20/1.08 (((~c1_1(a221)) | (~hskp16)) <=> ((~hskp16) | (~c1_1(a221)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2109,axiom,((~c1_1(a221)) | (~hskp16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause81')).
% 1.20/1.08 tff(2110,plain,
% 1.20/1.08 ((~hskp16) | (~c1_1(a221))),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[2109, 2108])).
% 1.20/1.08 tff(2111,plain,
% 1.20/1.08 ((~hskp16) | (~c1_1(a221))),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[2110, 2107])).
% 1.20/1.08 tff(2112,plain,
% 1.20/1.08 (~c1_1(a221)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[2111, 2100])).
% 1.20/1.08 tff(2113,plain,
% 1.20/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a225) | c1_1(a225) | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215) | (~c3_1(a221)) | (~c2_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | c1_1(a225) | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215) | (~c3_1(a221)) | (~c2_1(a225)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2114,plain,
% 1.20/1.08 (((~ndr1_0) | c1_1(a221) | c2_1(a221) | (~c3_1(a221)) | c0_1(a215) | (~c1_1(a215)) | (~c2_1(a215)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225))) <=> (c0_1(a225) | c1_1(a225) | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215) | (~c3_1(a221)) | (~c2_1(a225)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2115,plain,
% 1.20/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a221) | c2_1(a221) | (~c3_1(a221)) | c0_1(a215) | (~c1_1(a215)) | (~c2_1(a215)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a225) | c1_1(a225) | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215) | (~c3_1(a221)) | (~c2_1(a225))))),
% 1.20/1.08 inference(monotonicity,[status(thm)],[2114])).
% 1.20/1.08 tff(2116,plain,
% 1.20/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a221) | c2_1(a221) | (~c3_1(a221)) | c0_1(a215) | (~c1_1(a215)) | (~c2_1(a215)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | c1_1(a225) | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215) | (~c3_1(a221)) | (~c2_1(a225)))),
% 1.20/1.08 inference(transitivity,[status(thm)],[2115, 2113])).
% 1.20/1.08 tff(2117,plain,
% 1.20/1.08 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a221) | c2_1(a221) | (~c3_1(a221)) | c0_1(a215) | (~c1_1(a215)) | (~c2_1(a215)) | c1_1(a225) | c0_1(a225) | (~c2_1(a225)))),
% 1.20/1.08 inference(quant_inst,[status(thm)],[])).
% 1.20/1.08 tff(2118,plain,
% 1.20/1.08 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a225) | c1_1(a225) | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a215) | (~c3_1(a221)) | (~c2_1(a225))),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[2117, 2116])).
% 1.20/1.08 tff(2119,plain,
% 1.20/1.08 (~c3_1(a221)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[2118, 160, 1997, 1996, 2018, 2009, 2112, 2106, 2008, 2017, 1998])).
% 1.20/1.08 tff(2120,plain,
% 1.20/1.08 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp10 | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)) | c3_1(a221))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp10 | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)) | c3_1(a221))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2121,plain,
% 1.20/1.08 ((hskp10 | (~ndr1_0) | c0_1(a215) | (~c3_1(a215)) | (~c1_1(a215)) | c3_1(a221) | c1_1(a221) | c2_1(a221)) <=> (hskp10 | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)) | c3_1(a221))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2122,plain,
% 1.20/1.08 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp10 | (~ndr1_0) | c0_1(a215) | (~c3_1(a215)) | (~c1_1(a215)) | c3_1(a221) | c1_1(a221) | c2_1(a221))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp10 | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)) | c3_1(a221)))),
% 1.20/1.08 inference(monotonicity,[status(thm)],[2121])).
% 1.20/1.08 tff(2123,plain,
% 1.20/1.08 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp10 | (~ndr1_0) | c0_1(a215) | (~c3_1(a215)) | (~c1_1(a215)) | c3_1(a221) | c1_1(a221) | c2_1(a221))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp10 | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)) | c3_1(a221))),
% 1.20/1.08 inference(transitivity,[status(thm)],[2122, 2120])).
% 1.20/1.08 tff(2124,plain,
% 1.20/1.08 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp10 | (~ndr1_0) | c0_1(a215) | (~c3_1(a215)) | (~c1_1(a215)) | c3_1(a221) | c1_1(a221) | c2_1(a221))),
% 1.20/1.08 inference(quant_inst,[status(thm)],[])).
% 1.20/1.08 tff(2125,plain,
% 1.20/1.08 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp10 | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c1_1(a215)) | c0_1(a215) | (~c3_1(a215)) | c3_1(a221)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[2124, 2123])).
% 1.20/1.08 tff(2126,plain,
% 1.20/1.08 (hskp10),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[2125, 160, 1997, 1995, 2112, 2106, 10, 1998, 2119])).
% 1.20/1.08 tff(2127,plain,
% 1.20/1.08 (c0_1(a200)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[331, 2126])).
% 1.20/1.08 tff(2128,assumption,(hskp16), introduced(assumption)).
% 1.20/1.08 tff(2129,plain,
% 1.20/1.08 (~c2_1(a221)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[2105, 2128])).
% 1.20/1.08 tff(2130,plain,
% 1.20/1.08 (((~hskp16) | (~c0_1(a221))) <=> ((~hskp16) | (~c0_1(a221)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2131,plain,
% 1.20/1.08 (((~c0_1(a221)) | (~hskp16)) <=> ((~hskp16) | (~c0_1(a221)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2132,axiom,((~c0_1(a221)) | (~hskp16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause80')).
% 1.20/1.08 tff(2133,plain,
% 1.20/1.08 ((~hskp16) | (~c0_1(a221))),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[2132, 2131])).
% 1.20/1.08 tff(2134,plain,
% 1.20/1.08 ((~hskp16) | (~c0_1(a221))),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[2133, 2130])).
% 1.20/1.08 tff(2135,plain,
% 1.20/1.08 (~c0_1(a221)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[2134, 2128])).
% 1.20/1.08 tff(2136,plain,
% 1.20/1.08 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | c0_1(a221) | c2_1(a221) | (~ndr1_0) | c3_1(a221))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c0_1(a221) | c2_1(a221) | (~ndr1_0) | c3_1(a221))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2137,plain,
% 1.20/1.08 ((hskp6 | (~ndr1_0) | c3_1(a221) | c0_1(a221) | c2_1(a221)) <=> (hskp6 | c0_1(a221) | c2_1(a221) | (~ndr1_0) | c3_1(a221))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2138,plain,
% 1.20/1.08 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a221) | c0_1(a221) | c2_1(a221))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | c0_1(a221) | c2_1(a221) | (~ndr1_0) | c3_1(a221)))),
% 1.20/1.08 inference(monotonicity,[status(thm)],[2137])).
% 1.20/1.08 tff(2139,plain,
% 1.20/1.08 (((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a221) | c0_1(a221) | c2_1(a221))) <=> ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c0_1(a221) | c2_1(a221) | (~ndr1_0) | c3_1(a221))),
% 1.20/1.08 inference(transitivity,[status(thm)],[2138, 2136])).
% 1.20/1.08 tff(2140,plain,
% 1.20/1.08 ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | (hskp6 | (~ndr1_0) | c3_1(a221) | c0_1(a221) | c2_1(a221))),
% 1.20/1.08 inference(quant_inst,[status(thm)],[])).
% 1.20/1.08 tff(2141,plain,
% 1.20/1.08 ((~![U: $i] : (hskp6 | (~ndr1_0) | c3_1(U) | c0_1(U) | c2_1(U))) | hskp6 | c0_1(a221) | c2_1(a221) | (~ndr1_0) | c3_1(a221)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[2140, 2139])).
% 1.20/1.08 tff(2142,plain,
% 1.20/1.08 (c3_1(a221)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[2141, 160, 1269, 2135, 2129, 581])).
% 1.20/1.08 tff(2143,plain,
% 1.20/1.08 (~c1_1(a221)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[2111, 2128])).
% 1.20/1.08 tff(2144,plain,
% 1.20/1.08 ($false),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[2118, 160, 1514, 1513, 256, 475, 2143, 2129, 2008, 933, 1553, 2142])).
% 1.20/1.08 tff(2145,plain,((~hskp16) | (~c1_1(a215)) | (~c2_1(a215)) | c0_1(a225) | c1_1(a225) | (~c2_1(a225)) | c0_1(a215) | hskp6), inference(lemma,lemma(discharge,[]))).
% 1.20/1.08 tff(2146,plain,
% 1.20/1.08 (hskp6),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[2145, 2100, 1996, 2018, 2009, 2017, 1998, 1997])).
% 1.20/1.08 tff(2147,plain,
% 1.20/1.08 (~c3_1(a195)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[594, 2146])).
% 1.20/1.08 tff(2148,plain,
% 1.20/1.08 (~c1_1(a195)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[611, 2146])).
% 1.20/1.08 tff(2149,plain,
% 1.20/1.08 (c0_1(a195)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[605, 2146])).
% 1.20/1.08 tff(2150,plain,
% 1.20/1.08 (~hskp5),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[644, 2063])).
% 1.20/1.08 tff(2151,plain,
% 1.20/1.08 (c3_1(a200)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[342, 2126])).
% 1.20/1.08 tff(2152,plain,
% 1.20/1.08 (~c2_1(a200)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[630, 2151, 2150, 2149, 2148, 2147, 2127])).
% 1.20/1.08 tff(2153,plain,
% 1.20/1.08 (~c1_1(a200)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[409, 2126])).
% 1.20/1.08 tff(2154,plain,
% 1.20/1.08 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | c0_1(a225) | c1_1(a221) | c2_1(a221) | (~ndr1_0) | c3_1(a221) | (~c2_1(a225)) | (~c3_1(a225)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c0_1(a225) | c1_1(a221) | c2_1(a221) | (~ndr1_0) | c3_1(a221) | (~c2_1(a225)) | (~c3_1(a225)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2155,plain,
% 1.20/1.08 ((hskp13 | (~ndr1_0) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225)) | c3_1(a221) | c1_1(a221) | c2_1(a221)) <=> (hskp13 | c0_1(a225) | c1_1(a221) | c2_1(a221) | (~ndr1_0) | c3_1(a221) | (~c2_1(a225)) | (~c3_1(a225)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(2156,plain,
% 1.20/1.08 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225)) | c3_1(a221) | c1_1(a221) | c2_1(a221))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | c0_1(a225) | c1_1(a221) | c2_1(a221) | (~ndr1_0) | c3_1(a221) | (~c2_1(a225)) | (~c3_1(a225))))),
% 1.25/1.08 inference(monotonicity,[status(thm)],[2155])).
% 1.25/1.08 tff(2157,plain,
% 1.25/1.08 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225)) | c3_1(a221) | c1_1(a221) | c2_1(a221))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c0_1(a225) | c1_1(a221) | c2_1(a221) | (~ndr1_0) | c3_1(a221) | (~c2_1(a225)) | (~c3_1(a225)))),
% 1.25/1.08 inference(transitivity,[status(thm)],[2156, 2154])).
% 1.25/1.08 tff(2158,plain,
% 1.25/1.08 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a225) | (~c3_1(a225)) | (~c2_1(a225)) | c3_1(a221) | c1_1(a221) | c2_1(a221))),
% 1.25/1.08 inference(quant_inst,[status(thm)],[])).
% 1.25/1.08 tff(2159,plain,
% 1.25/1.08 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c0_1(a225) | c1_1(a221) | c2_1(a221) | (~ndr1_0) | c3_1(a221) | (~c2_1(a225)) | (~c3_1(a225))),
% 1.25/1.08 inference(modus_ponens,[status(thm)],[2158, 2157])).
% 1.25/1.08 tff(2160,plain,
% 1.25/1.08 (hskp13),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[2159, 160, 2010, 2018, 2112, 2106, 267, 2017, 2119])).
% 1.25/1.08 tff(2161,plain,
% 1.25/1.08 (~c0_1(a209)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[423, 2160])).
% 1.25/1.08 tff(2162,plain,
% 1.25/1.08 (c3_1(a209)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[434, 2160])).
% 1.25/1.08 tff(2163,plain,
% 1.25/1.08 (c1_1(a209)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[445, 2160])).
% 1.25/1.08 tff(2164,plain,
% 1.25/1.08 ($false),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[481, 160, 2163, 2162, 2127, 2018, 2009, 2161, 2153, 65, 2017, 2152])).
% 1.25/1.08 tff(2165,plain,(hskp2 | c2_1(a194) | c3_1(a190)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.08 tff(2166,plain,
% 1.25/1.08 (hskp2),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[2165, 13, 11])).
% 1.25/1.08 tff(2167,plain,
% 1.25/1.08 (~c3_1(a191)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[42, 2166])).
% 1.25/1.08 tff(2168,plain,
% 1.25/1.08 (~c2_1(a191)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[48, 2166])).
% 1.25/1.08 tff(2169,plain,
% 1.25/1.08 (~c1_1(a191)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[54, 2166])).
% 1.25/1.08 tff(2170,plain,
% 1.25/1.08 (~c0_1(a194)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[746, 108, 67, 11, 66, 12, 68])).
% 1.25/1.08 tff(2171,plain,
% 1.25/1.08 (c1_1(a214)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[1930, 108])).
% 1.25/1.08 tff(2172,plain,
% 1.25/1.08 (hskp5),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[1911, 2171])).
% 1.25/1.08 tff(2173,plain,
% 1.25/1.08 ($false),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[655, 2172, 2170])).
% 1.25/1.08 tff(2174,plain,(hskp1 | c1_1(a191) | c2_1(a194) | c2_1(a191) | c1_1(a194) | c3_1(a191)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.08 tff(2175,plain,
% 1.25/1.08 (hskp1),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[2174, 12, 11, 2168, 2169, 2167])).
% 1.25/1.08 tff(2176,plain,
% 1.25/1.08 (c0_1(a190)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[218, 2175])).
% 1.25/1.08 tff(2177,plain,
% 1.25/1.08 (c2_1(a190)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[207, 2175])).
% 1.25/1.08 tff(2178,plain,
% 1.25/1.08 (~hskp5),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[655, 1270])).
% 1.25/1.08 tff(2179,plain,
% 1.25/1.08 (~c1_1(a214)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[1911, 2178])).
% 1.25/1.08 tff(2180,plain,
% 1.25/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a194) | c3_1(a214) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a194)) | c1_1(a214) | (~c2_1(a214)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a194) | c3_1(a214) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a194)) | c1_1(a214) | (~c2_1(a214)))),
% 1.25/1.08 inference(rewrite,[status(thm)],[])).
% 1.25/1.08 tff(2181,plain,
% 1.25/1.08 (((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a194) | c0_1(a194) | (~c3_1(a194))) <=> (c0_1(a194) | c3_1(a214) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a194)) | c1_1(a214) | (~c2_1(a214)))),
% 1.25/1.08 inference(rewrite,[status(thm)],[])).
% 1.25/1.08 tff(2182,plain,
% 1.25/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a194) | c0_1(a194) | (~c3_1(a194)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a194) | c3_1(a214) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a194)) | c1_1(a214) | (~c2_1(a214))))),
% 1.25/1.08 inference(monotonicity,[status(thm)],[2181])).
% 1.25/1.08 tff(2183,plain,
% 1.25/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a194) | c0_1(a194) | (~c3_1(a194)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a194) | c3_1(a214) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a194)) | c1_1(a214) | (~c2_1(a214)))),
% 1.25/1.08 inference(transitivity,[status(thm)],[2182, 2180])).
% 1.25/1.08 tff(2184,plain,
% 1.25/1.08 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a194) | c0_1(a194) | (~c3_1(a194)))),
% 1.25/1.08 inference(quant_inst,[status(thm)],[])).
% 1.25/1.08 tff(2185,plain,
% 1.25/1.08 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a194) | c3_1(a214) | c2_1(a194) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a194)) | c1_1(a214) | (~c2_1(a214))),
% 1.25/1.08 inference(modus_ponens,[status(thm)],[2184, 2183])).
% 1.25/1.08 tff(2186,plain,
% 1.25/1.08 (c0_1(a194) | (~c2_1(a190)) | (~c0_1(a190)) | (~c3_1(a194)) | c1_1(a214)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[2185, 160, 1904, 1887, 11, 13, 493])).
% 1.25/1.08 tff(2187,plain,
% 1.25/1.08 (~c3_1(a194)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[2186, 2179, 2177, 2176, 1270])).
% 1.25/1.08 tff(2188,plain,
% 1.25/1.08 (hskp19),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[1940, 2179, 2177, 2176])).
% 1.25/1.08 tff(2189,plain,
% 1.25/1.08 (c3_1(a225)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[247, 2188])).
% 1.25/1.08 tff(2190,plain,
% 1.25/1.08 (~c0_1(a225)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[253, 2188])).
% 1.25/1.08 tff(2191,plain,
% 1.25/1.08 (hskp13),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[417, 2190, 2169, 2189, 2168, 2167])).
% 1.25/1.08 tff(2192,plain,
% 1.25/1.08 (~c0_1(a209)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[423, 2191])).
% 1.25/1.08 tff(2193,plain,
% 1.25/1.08 (c3_1(a209)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[434, 2191])).
% 1.25/1.08 tff(2194,plain,
% 1.25/1.08 (c1_1(a209)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[445, 2191])).
% 1.25/1.08 tff(2195,plain,
% 1.25/1.08 (hskp10),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[2043, 160, 2194, 2193, 2192, 12, 11, 10, 2187])).
% 1.25/1.08 tff(2196,plain,
% 1.25/1.08 (c0_1(a200)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[331, 2195])).
% 1.25/1.08 tff(2197,plain,
% 1.25/1.08 (c2_1(a225)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[2026, 160, 2189, 1270, 2190, 12, 11, 285, 2187])).
% 1.25/1.08 tff(2198,plain,
% 1.25/1.08 (~c1_1(a225)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[459, 2188])).
% 1.25/1.08 tff(2199,plain,
% 1.25/1.08 (hskp6),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[1285, 2187, 1270])).
% 1.25/1.08 tff(2200,plain,
% 1.25/1.08 (c0_1(a195)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[605, 2199])).
% 1.25/1.08 tff(2201,plain,
% 1.25/1.08 (~c3_1(a195)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[594, 2199])).
% 1.25/1.08 tff(2202,plain,
% 1.25/1.08 (~c1_1(a195)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[611, 2199])).
% 1.25/1.08 tff(2203,plain,
% 1.25/1.08 (c3_1(a200)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[342, 2195])).
% 1.25/1.08 tff(2204,plain,
% 1.25/1.08 (~c1_1(a200)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[409, 2195])).
% 1.25/1.08 tff(2205,plain,
% 1.25/1.08 ($false),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[951, 2204, 2203, 11, 12, 2202, 2201, 2200, 2193, 2190, 2198, 2192, 2194, 2197, 2196])).
% 1.25/1.08 tff(2206,plain,(c0_1(a194) | c2_1(a194) | c1_1(a194) | c3_1(a190)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.08 tff(2207,plain,
% 1.25/1.08 (c0_1(a194)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[2206, 13, 11, 12])).
% 1.25/1.08 tff(2208,plain,
% 1.25/1.08 (hskp1),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[746, 2207, 2169, 11, 2168, 12, 2167])).
% 1.25/1.08 tff(2209,plain,
% 1.25/1.08 (c0_1(a190)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[218, 2208])).
% 1.25/1.08 tff(2210,plain,
% 1.25/1.08 (c2_1(a190)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[207, 2208])).
% 1.25/1.08 tff(2211,plain,
% 1.25/1.08 (hskp19 | c1_1(a190)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[900, 160, 2209, 2210, 13, 229])).
% 1.25/1.08 tff(2212,plain,
% 1.25/1.08 (c1_1(a190)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[2211, 893])).
% 1.25/1.08 tff(2213,plain,
% 1.25/1.08 (~c0_1(a191)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[1082, 2212, 2209, 2210, 12, 11, 2168, 2167, 2207])).
% 1.25/1.08 tff(2214,plain,
% 1.25/1.08 (hskp6 | c0_1(a191)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[587, 160, 2168, 2167, 581])).
% 1.25/1.08 tff(2215,plain,
% 1.25/1.08 (hskp6),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[2214, 2213])).
% 1.25/1.08 tff(2216,plain,
% 1.25/1.08 (c0_1(a195)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[605, 2215])).
% 1.25/1.08 tff(2217,plain,
% 1.25/1.08 (~c1_1(a195)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[611, 2215])).
% 1.25/1.08 tff(2218,plain,
% 1.25/1.08 (~c3_1(a195)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[594, 2215])).
% 1.25/1.08 tff(2219,plain,
% 1.25/1.08 ($false),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[920, 2218, 2217, 893, 2210, 2216, 2209, 13])).
% 1.25/1.08 tff(2220,plain,(hskp19 | c3_1(a190) | c1_1(a194) | c2_1(a194)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.08 tff(2221,plain,
% 1.25/1.08 (hskp19),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[2220, 13, 12, 11])).
% 1.25/1.08 tff(2222,plain,
% 1.25/1.08 (~c0_1(a225)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[253, 2221])).
% 1.25/1.08 tff(2223,plain,
% 1.25/1.08 (hskp13),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[417, 1816, 2169, 256, 2168, 2167])).
% 1.25/1.08 tff(2224,plain,
% 1.25/1.08 (~c0_1(a209)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[423, 2223])).
% 1.25/1.08 tff(2225,plain,
% 1.25/1.08 (c0_1(a194)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[2206, 12, 11, 13])).
% 1.25/1.08 tff(2226,plain,
% 1.25/1.08 (c3_1(a209)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[434, 2223])).
% 1.25/1.08 tff(2227,plain,
% 1.25/1.08 (c1_1(a209)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[445, 2223])).
% 1.25/1.08 tff(2228,plain,
% 1.25/1.08 (~c2_1(a225)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[941, 160, 2227, 2226, 2225, 256, 1814, 2224, 12, 11, 65])).
% 1.25/1.08 tff(2229,plain,
% 1.25/1.08 (hskp10),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[452, 160, 2227, 2226, 2224, 2169, 2168, 2167, 10])).
% 1.25/1.08 tff(2230,plain,
% 1.25/1.08 (~c1_1(a200)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[409, 2229])).
% 1.25/1.08 tff(2231,plain,
% 1.25/1.08 (c3_1(a200)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[342, 2229])).
% 1.25/1.08 tff(2232,plain,
% 1.25/1.08 (c0_1(a200)),
% 1.25/1.08 inference(unit_resolution,[status(thm)],[331, 2229])).
% 1.25/1.08 tff(2233,plain,
% 1.25/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a225) | c0_1(a214) | c1_1(a200) | (~ndr1_0) | (~c3_1(a200)) | (~c0_1(a200)) | (~c1_1(a214)) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a225) | c0_1(a214) | c1_1(a200) | (~ndr1_0) | (~c3_1(a200)) | (~c0_1(a200)) | (~c1_1(a214)) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225)))),
% 1.25/1.08 inference(rewrite,[status(thm)],[])).
% 1.25/1.08 tff(2234,plain,
% 1.25/1.08 (((~ndr1_0) | c1_1(a200) | (~c3_1(a200)) | (~c0_1(a200)) | c0_1(a214) | (~c1_1(a214)) | (~c2_1(a214)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225))) <=> (c0_1(a225) | c0_1(a214) | c1_1(a200) | (~ndr1_0) | (~c3_1(a200)) | (~c0_1(a200)) | (~c1_1(a214)) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225)))),
% 1.25/1.08 inference(rewrite,[status(thm)],[])).
% 1.25/1.08 tff(2235,plain,
% 1.25/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c1_1(a200) | (~c3_1(a200)) | (~c0_1(a200)) | c0_1(a214) | (~c1_1(a214)) | (~c2_1(a214)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a225) | c0_1(a214) | c1_1(a200) | (~ndr1_0) | (~c3_1(a200)) | (~c0_1(a200)) | (~c1_1(a214)) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225))))),
% 1.25/1.09 inference(monotonicity,[status(thm)],[2234])).
% 1.25/1.09 tff(2236,plain,
% 1.25/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c1_1(a200) | (~c3_1(a200)) | (~c0_1(a200)) | c0_1(a214) | (~c1_1(a214)) | (~c2_1(a214)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a225) | c0_1(a214) | c1_1(a200) | (~ndr1_0) | (~c3_1(a200)) | (~c0_1(a200)) | (~c1_1(a214)) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225)))),
% 1.25/1.09 inference(transitivity,[status(thm)],[2235, 2233])).
% 1.25/1.09 tff(2237,plain,
% 1.25/1.09 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c1_1(a200) | (~c3_1(a200)) | (~c0_1(a200)) | c0_1(a214) | (~c1_1(a214)) | (~c2_1(a214)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))),
% 1.25/1.09 inference(quant_inst,[status(thm)],[])).
% 1.25/1.09 tff(2238,plain,
% 1.25/1.09 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a225) | c0_1(a214) | c1_1(a200) | (~ndr1_0) | (~c3_1(a200)) | (~c0_1(a200)) | (~c1_1(a214)) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225))),
% 1.25/1.09 inference(modus_ponens,[status(thm)],[2237, 2236])).
% 1.25/1.09 tff(2239,plain,
% 1.25/1.09 (~c1_1(a214)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2238, 160, 1816, 1904, 2232, 2231, 256, 1893, 2230, 1102, 2228])).
% 1.25/1.09 tff(2240,plain,
% 1.25/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a225) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a225) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225)))),
% 1.25/1.09 inference(rewrite,[status(thm)],[])).
% 1.25/1.09 tff(2241,plain,
% 1.25/1.09 (((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225))) <=> (c0_1(a225) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225)))),
% 1.25/1.09 inference(rewrite,[status(thm)],[])).
% 1.25/1.09 tff(2242,plain,
% 1.25/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a225) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225))))),
% 1.25/1.09 inference(monotonicity,[status(thm)],[2241])).
% 1.25/1.09 tff(2243,plain,
% 1.25/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a225) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225)))),
% 1.25/1.09 inference(transitivity,[status(thm)],[2242, 2240])).
% 1.25/1.09 tff(2244,plain,
% 1.25/1.09 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | c0_1(a225) | (~c3_1(a225)))),
% 1.25/1.09 inference(quant_inst,[status(thm)],[])).
% 1.25/1.09 tff(2245,plain,
% 1.25/1.09 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a225) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | c2_1(a225) | (~c3_1(a225))),
% 1.25/1.09 inference(modus_ponens,[status(thm)],[2244, 2243])).
% 1.25/1.09 tff(2246,plain,
% 1.25/1.09 ($false),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2245, 160, 1816, 1904, 2176, 2177, 256, 1887, 13, 493, 2228, 2239])).
% 1.25/1.09 tff(2247,plain,((~hskp19) | c0_1(a225) | c3_1(a190) | c1_1(a194) | c2_1(a194)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.09 tff(2248,plain,
% 1.25/1.09 ($false),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2247, 2222, 2221, 13, 12, 11])).
% 1.25/1.09 tff(2249,plain,(c3_1(a190) | c1_1(a194) | c2_1(a194)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.09 tff(2250,plain,
% 1.25/1.09 (c3_1(a190)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2249, 12, 11])).
% 1.25/1.09 tff(2251,plain,
% 1.25/1.09 (~hskp1),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[1142, 2250])).
% 1.25/1.09 tff(2252,plain,
% 1.25/1.09 (c1_1(a214)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[1930, 2251])).
% 1.25/1.09 tff(2253,plain,
% 1.25/1.09 (hskp2),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[1922, 2252, 11])).
% 1.25/1.09 tff(2254,plain,
% 1.25/1.09 (~c3_1(a191)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[42, 2253])).
% 1.25/1.09 tff(2255,plain,
% 1.25/1.09 (~c2_1(a191)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[48, 2253])).
% 1.25/1.09 tff(2256,plain,
% 1.25/1.09 (hskp5),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[1911, 2252])).
% 1.25/1.09 tff(2257,plain,
% 1.25/1.09 (c0_1(a194)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[655, 2256])).
% 1.25/1.09 tff(2258,plain,
% 1.25/1.09 (~c1_1(a191)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[54, 2253])).
% 1.25/1.09 tff(2259,plain,
% 1.25/1.09 ($false),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[746, 2258, 2257, 2251, 11, 2255, 12, 2254])).
% 1.25/1.09 tff(2260,plain,(c1_1(a194) | c2_1(a194)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.09 tff(2261,plain,
% 1.25/1.09 (c1_1(a194)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2260, 11])).
% 1.25/1.09 tff(2262,plain,
% 1.25/1.09 (~hskp5),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[644, 2261])).
% 1.25/1.09 tff(2263,plain,
% 1.25/1.09 (~c1_1(a214)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[1911, 2262])).
% 1.25/1.09 tff(2264,plain,
% 1.25/1.09 (hskp1),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[1930, 2263])).
% 1.25/1.09 tff(2265,plain,
% 1.25/1.09 (~c3_1(a190)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[1142, 2264])).
% 1.25/1.09 tff(2266,plain,
% 1.25/1.09 (hskp2),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2165, 2265, 11])).
% 1.25/1.09 tff(2267,plain,
% 1.25/1.09 (~c3_1(a191)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[42, 2266])).
% 1.25/1.09 tff(2268,plain,
% 1.25/1.09 (~c2_1(a191)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[48, 2266])).
% 1.25/1.09 tff(2269,plain,
% 1.25/1.09 (~c1_1(a191)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[54, 2266])).
% 1.25/1.09 tff(2270,plain,
% 1.25/1.09 (c2_1(a190)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[207, 2264])).
% 1.25/1.09 tff(2271,plain,
% 1.25/1.09 (c0_1(a190)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[218, 2264])).
% 1.25/1.09 tff(2272,plain,
% 1.25/1.09 (hskp19),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[1939, 160, 1904, 2271, 2270, 1887, 2265, 229, 2263])).
% 1.25/1.09 tff(2273,plain,
% 1.25/1.09 (~c0_1(a225)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[253, 2272])).
% 1.25/1.09 tff(2274,plain,
% 1.25/1.09 (c3_1(a225)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[247, 2272])).
% 1.25/1.09 tff(2275,plain,
% 1.25/1.09 (hskp13),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[417, 2274, 2269, 2273, 2268, 2267])).
% 1.25/1.09 tff(2276,plain,
% 1.25/1.09 (~c0_1(a209)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[423, 2275])).
% 1.25/1.09 tff(2277,plain,
% 1.25/1.09 (c3_1(a209)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[434, 2275])).
% 1.25/1.09 tff(2278,plain,
% 1.25/1.09 (c1_1(a209)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[445, 2275])).
% 1.25/1.09 tff(2279,plain,
% 1.25/1.09 (hskp10),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[452, 160, 2278, 2277, 2276, 2269, 2268, 2267, 10])).
% 1.25/1.09 tff(2280,plain,
% 1.25/1.09 (c0_1(a200)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[331, 2279])).
% 1.25/1.09 tff(2281,plain,
% 1.25/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a214) | c0_1(a209) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c1_1(a209)) | (~c3_1(a209)) | c1_1(a214) | (~c2_1(a214)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a214) | c0_1(a209) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c1_1(a209)) | (~c3_1(a209)) | c1_1(a214) | (~c2_1(a214)))),
% 1.25/1.09 inference(rewrite,[status(thm)],[])).
% 1.25/1.09 tff(2282,plain,
% 1.25/1.09 (((~ndr1_0) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a214) | c0_1(a214) | (~c2_1(a214))) <=> (c0_1(a214) | c0_1(a209) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c1_1(a209)) | (~c3_1(a209)) | c1_1(a214) | (~c2_1(a214)))),
% 1.25/1.09 inference(rewrite,[status(thm)],[])).
% 1.25/1.09 tff(2283,plain,
% 1.25/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a214) | c0_1(a214) | (~c2_1(a214)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a214) | c0_1(a209) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c1_1(a209)) | (~c3_1(a209)) | c1_1(a214) | (~c2_1(a214))))),
% 1.25/1.09 inference(monotonicity,[status(thm)],[2282])).
% 1.25/1.09 tff(2284,plain,
% 1.25/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a214) | c0_1(a214) | (~c2_1(a214)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a214) | c0_1(a209) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c1_1(a209)) | (~c3_1(a209)) | c1_1(a214) | (~c2_1(a214)))),
% 1.25/1.09 inference(transitivity,[status(thm)],[2283, 2281])).
% 1.25/1.09 tff(2285,plain,
% 1.25/1.09 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c1_1(a191) | c2_1(a191) | (~c0_1(a191)) | c0_1(a209) | (~c3_1(a209)) | (~c1_1(a209)) | c1_1(a214) | c0_1(a214) | (~c2_1(a214)))),
% 1.25/1.09 inference(quant_inst,[status(thm)],[])).
% 1.25/1.09 tff(2286,plain,
% 1.25/1.09 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a214) | c0_1(a209) | c1_1(a191) | c2_1(a191) | (~ndr1_0) | (~c0_1(a191)) | (~c1_1(a209)) | (~c3_1(a209)) | c1_1(a214) | (~c2_1(a214))),
% 1.25/1.09 inference(modus_ponens,[status(thm)],[2285, 2284])).
% 1.25/1.09 tff(2287,plain,
% 1.25/1.09 (~c0_1(a191)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2286, 160, 1904, 2278, 2277, 1893, 2276, 2269, 2268, 65, 2263])).
% 1.25/1.09 tff(2288,plain,
% 1.25/1.09 (hskp6 | c0_1(a191)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[587, 160, 2268, 2267, 581])).
% 1.25/1.09 tff(2289,plain,
% 1.25/1.09 (hskp6),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2288, 2287])).
% 1.25/1.09 tff(2290,plain,
% 1.25/1.09 (~c3_1(a195)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[594, 2289])).
% 1.25/1.09 tff(2291,plain,
% 1.25/1.09 (~c1_1(a195)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[611, 2289])).
% 1.25/1.09 tff(2292,plain,
% 1.25/1.09 (c0_1(a195)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[605, 2289])).
% 1.25/1.09 tff(2293,plain,
% 1.25/1.09 (c3_1(a200)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[342, 2279])).
% 1.25/1.09 tff(2294,plain,
% 1.25/1.09 (~c2_1(a200)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[630, 2293, 2262, 2292, 2291, 2290, 2280])).
% 1.25/1.09 tff(2295,plain,
% 1.25/1.09 (c0_1(a191) | c2_1(a225)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[291, 160, 2274, 2273, 2269, 2268, 2267, 285])).
% 1.25/1.09 tff(2296,plain,
% 1.25/1.09 (c2_1(a225)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2295, 2287])).
% 1.25/1.09 tff(2297,plain,
% 1.25/1.09 (~c1_1(a200)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[409, 2279])).
% 1.25/1.09 tff(2298,plain,
% 1.25/1.09 (~c1_1(a225)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[459, 2272])).
% 1.25/1.09 tff(2299,plain,
% 1.25/1.09 ($false),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[481, 160, 2278, 2277, 2280, 2273, 2298, 2276, 2297, 65, 2296, 2294])).
% 1.25/1.09 tff(2300,plain,(c2_1(a194)), inference(lemma,lemma(discharge,[]))).
% 1.25/1.09 tff(2301,plain,
% 1.25/1.09 (~hskp5),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[638, 2300])).
% 1.25/1.09 tff(2302,plain,
% 1.25/1.09 (~c1_1(a214)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[1911, 2301])).
% 1.25/1.09 tff(2303,plain,
% 1.25/1.09 (hskp1),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[1930, 2302])).
% 1.25/1.09 tff(2304,plain,
% 1.25/1.09 (~c3_1(a190)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[1142, 2303])).
% 1.25/1.09 tff(2305,plain,
% 1.25/1.09 (c2_1(a190)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[207, 2303])).
% 1.25/1.09 tff(2306,plain,
% 1.25/1.09 (c0_1(a190)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[218, 2303])).
% 1.25/1.09 tff(2307,plain,
% 1.25/1.09 (hskp19),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[1939, 160, 1904, 2306, 2305, 1887, 2304, 229, 2302])).
% 1.25/1.09 tff(2308,plain,
% 1.25/1.09 (~c1_1(a190)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[1818, 14, 2306, 2304, 2307])).
% 1.25/1.09 tff(2309,plain,
% 1.25/1.09 (~hskp25),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2081, 14, 2308])).
% 1.25/1.09 tff(2310,assumption,(~hskp16), introduced(assumption)).
% 1.25/1.09 tff(2311,plain,
% 1.25/1.09 (^[U: $i] : refl((hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U))) <=> (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U))))),
% 1.25/1.09 inference(bind,[status(th)],[])).
% 1.25/1.09 tff(2312,plain,
% 1.25/1.09 (![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U))) <=> ![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))),
% 1.25/1.09 inference(quant_intro,[status(thm)],[2311])).
% 1.25/1.09 tff(2313,plain,
% 1.25/1.09 (![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U))) <=> ![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))),
% 1.25/1.09 inference(rewrite,[status(thm)],[])).
% 1.25/1.09 tff(2314,plain,
% 1.25/1.09 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c0_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c0_1(U)))), ((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) <=> (((~ndr1_0) | (~c0_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c0_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U)))), ((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U))))), (((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c0_1(U))) | c3_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c0_1(U))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))), (((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U))))), ((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp23) <=> (((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U))) | hskp23))), rewrite((((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U))) | hskp23) <=> (hskp23 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))), ((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp23) <=> (hskp23 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U))))), (((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp23) | hskp16) <=> ((hskp23 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U))) | hskp16))), rewrite(((hskp23 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U))) | hskp16) <=> (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))), (((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp23) | hskp16) <=> (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))))),
% 1.25/1.09 inference(bind,[status(th)],[])).
% 1.25/1.09 tff(2315,plain,
% 1.25/1.09 (![U: $i] : ((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp23) | hskp16) <=> ![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))),
% 1.25/1.09 inference(quant_intro,[status(thm)],[2314])).
% 1.25/1.09 tff(2316,axiom,(![U: $i] : ((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp23) | hskp16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause117')).
% 1.25/1.09 tff(2317,plain,
% 1.25/1.09 (![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))),
% 1.25/1.09 inference(modus_ponens,[status(thm)],[2316, 2315])).
% 1.25/1.09 tff(2318,plain,
% 1.25/1.09 (![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))),
% 1.25/1.09 inference(modus_ponens,[status(thm)],[2317, 2313])).
% 1.25/1.09 tff(2319,plain,(
% 1.25/1.09 ![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))),
% 1.25/1.09 inference(skolemize,[status(sab)],[2318])).
% 1.25/1.09 tff(2320,plain,
% 1.25/1.09 (![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))),
% 1.25/1.09 inference(modus_ponens,[status(thm)],[2319, 2312])).
% 1.25/1.09 tff(2321,plain,
% 1.25/1.09 (((~![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp23 | hskp16 | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190))) <=> ((~![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))) | hskp23 | hskp16 | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190))),
% 1.25/1.09 inference(rewrite,[status(thm)],[])).
% 1.25/1.09 tff(2322,plain,
% 1.25/1.09 ((hskp23 | hskp16 | (~ndr1_0) | c3_1(a190) | c1_1(a190) | (~c0_1(a190))) <=> (hskp23 | hskp16 | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190))),
% 1.25/1.09 inference(rewrite,[status(thm)],[])).
% 1.25/1.09 tff(2323,plain,
% 1.25/1.09 (((~![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp23 | hskp16 | (~ndr1_0) | c3_1(a190) | c1_1(a190) | (~c0_1(a190)))) <=> ((~![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp23 | hskp16 | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190)))),
% 1.25/1.09 inference(monotonicity,[status(thm)],[2322])).
% 1.25/1.09 tff(2324,plain,
% 1.25/1.09 (((~![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp23 | hskp16 | (~ndr1_0) | c3_1(a190) | c1_1(a190) | (~c0_1(a190)))) <=> ((~![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))) | hskp23 | hskp16 | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190))),
% 1.25/1.09 inference(transitivity,[status(thm)],[2323, 2321])).
% 1.25/1.09 tff(2325,plain,
% 1.25/1.09 ((~![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))) | (hskp23 | hskp16 | (~ndr1_0) | c3_1(a190) | c1_1(a190) | (~c0_1(a190)))),
% 1.25/1.09 inference(quant_inst,[status(thm)],[])).
% 1.25/1.09 tff(2326,plain,
% 1.25/1.09 ((~![U: $i] : (hskp23 | hskp16 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)))) | hskp23 | hskp16 | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190)),
% 1.25/1.09 inference(modus_ponens,[status(thm)],[2325, 2324])).
% 1.25/1.09 tff(2327,plain,
% 1.25/1.09 (hskp23 | hskp16 | c1_1(a190)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2326, 160, 2306, 2304, 2320])).
% 1.25/1.09 tff(2328,plain,
% 1.25/1.09 (hskp23),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2327, 2310, 1301])).
% 1.25/1.09 tff(2329,plain,
% 1.25/1.09 (c1_1(a189)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[552, 2328])).
% 1.25/1.09 tff(2330,plain,
% 1.25/1.09 (c0_1(a189)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[563, 2328])).
% 1.25/1.09 tff(2331,assumption,(~hskp25), introduced(assumption)).
% 1.25/1.09 tff(2332,plain,
% 1.25/1.09 (((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp25 | hskp16 | (~ndr1_0) | c2_1(a189) | (~c0_1(a189)) | (~c1_1(a189)))) <=> ((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp25 | hskp16 | (~ndr1_0) | c2_1(a189) | (~c0_1(a189)) | (~c1_1(a189)))),
% 1.25/1.09 inference(rewrite,[status(thm)],[])).
% 1.25/1.09 tff(2333,plain,
% 1.25/1.09 ((hskp25 | hskp16 | (~ndr1_0) | c2_1(a189) | (~c1_1(a189)) | (~c0_1(a189))) <=> (hskp25 | hskp16 | (~ndr1_0) | c2_1(a189) | (~c0_1(a189)) | (~c1_1(a189)))),
% 1.25/1.09 inference(rewrite,[status(thm)],[])).
% 1.25/1.09 tff(2334,plain,
% 1.25/1.09 (((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp25 | hskp16 | (~ndr1_0) | c2_1(a189) | (~c1_1(a189)) | (~c0_1(a189)))) <=> ((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp25 | hskp16 | (~ndr1_0) | c2_1(a189) | (~c0_1(a189)) | (~c1_1(a189))))),
% 1.25/1.09 inference(monotonicity,[status(thm)],[2333])).
% 1.25/1.09 tff(2335,plain,
% 1.25/1.09 (((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp25 | hskp16 | (~ndr1_0) | c2_1(a189) | (~c1_1(a189)) | (~c0_1(a189)))) <=> ((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp25 | hskp16 | (~ndr1_0) | c2_1(a189) | (~c0_1(a189)) | (~c1_1(a189)))),
% 1.25/1.09 inference(transitivity,[status(thm)],[2334, 2332])).
% 1.25/1.09 tff(2336,plain,
% 1.25/1.09 ((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp25 | hskp16 | (~ndr1_0) | c2_1(a189) | (~c1_1(a189)) | (~c0_1(a189)))),
% 1.25/1.09 inference(quant_inst,[status(thm)],[])).
% 1.25/1.09 tff(2337,plain,
% 1.25/1.09 ((~![U: $i] : (hskp25 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp25 | hskp16 | (~ndr1_0) | c2_1(a189) | (~c0_1(a189)) | (~c1_1(a189))),
% 1.25/1.09 inference(modus_ponens,[status(thm)],[2336, 2335])).
% 1.25/1.09 tff(2338,plain,
% 1.25/1.09 (c2_1(a189)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2337, 2331, 160, 2310, 2330, 2329, 2092])).
% 1.25/1.09 tff(2339,plain,
% 1.25/1.09 (c3_1(a189)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[541, 2328])).
% 1.25/1.09 tff(2340,plain,
% 1.25/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190) | (~c3_1(a189)) | (~c2_1(a189)) | (~c0_1(a189)) | (~c1_1(a189)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190) | (~c3_1(a189)) | (~c2_1(a189)) | (~c0_1(a189)) | (~c1_1(a189)))),
% 1.25/1.09 inference(rewrite,[status(thm)],[])).
% 1.25/1.09 tff(2341,plain,
% 1.25/1.09 (((~ndr1_0) | (~c3_1(a189)) | (~c2_1(a189)) | (~c0_1(a189)) | (~c3_1(a189)) | (~c1_1(a189)) | (~c0_1(a189)) | c1_1(a190) | c3_1(a190) | (~c0_1(a190))) <=> (c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190) | (~c3_1(a189)) | (~c2_1(a189)) | (~c0_1(a189)) | (~c1_1(a189)))),
% 1.25/1.09 inference(rewrite,[status(thm)],[])).
% 1.25/1.09 tff(2342,plain,
% 1.25/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a189)) | (~c2_1(a189)) | (~c0_1(a189)) | (~c3_1(a189)) | (~c1_1(a189)) | (~c0_1(a189)) | c1_1(a190) | c3_1(a190) | (~c0_1(a190)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190) | (~c3_1(a189)) | (~c2_1(a189)) | (~c0_1(a189)) | (~c1_1(a189))))),
% 1.25/1.09 inference(monotonicity,[status(thm)],[2341])).
% 1.25/1.09 tff(2343,plain,
% 1.25/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a189)) | (~c2_1(a189)) | (~c0_1(a189)) | (~c3_1(a189)) | (~c1_1(a189)) | (~c0_1(a189)) | c1_1(a190) | c3_1(a190) | (~c0_1(a190)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190) | (~c3_1(a189)) | (~c2_1(a189)) | (~c0_1(a189)) | (~c1_1(a189)))),
% 1.25/1.09 inference(transitivity,[status(thm)],[2342, 2340])).
% 1.25/1.09 tff(2344,plain,
% 1.25/1.09 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a189)) | (~c2_1(a189)) | (~c0_1(a189)) | (~c3_1(a189)) | (~c1_1(a189)) | (~c0_1(a189)) | c1_1(a190) | c3_1(a190) | (~c0_1(a190)))),
% 1.25/1.09 inference(quant_inst,[status(thm)],[])).
% 1.25/1.09 tff(2345,plain,
% 1.25/1.09 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c3_1(a190) | (~ndr1_0) | (~c0_1(a190)) | c1_1(a190) | (~c3_1(a189)) | (~c2_1(a189)) | (~c0_1(a189)) | (~c1_1(a189))),
% 1.25/1.09 inference(modus_ponens,[status(thm)],[2344, 2343])).
% 1.25/1.09 tff(2346,plain,
% 1.25/1.09 ($false),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2345, 160, 2330, 2329, 2339, 2306, 2304, 512, 1301, 2338])).
% 1.25/1.09 tff(2347,plain,(hskp16 | c1_1(a190) | hskp25), inference(lemma,lemma(discharge,[]))).
% 1.25/1.09 tff(2348,plain,
% 1.25/1.09 (hskp16),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2347, 2308, 2309])).
% 1.25/1.09 tff(2349,plain,
% 1.25/1.09 (~c2_1(a221)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2105, 2348])).
% 1.25/1.09 tff(2350,plain,
% 1.25/1.09 (~c0_1(a221)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2134, 2348])).
% 1.25/1.09 tff(2351,plain,
% 1.25/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a221) | c2_1(a221) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | (~c3_1(a221)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a221) | c2_1(a221) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | (~c3_1(a221)))),
% 1.25/1.09 inference(rewrite,[status(thm)],[])).
% 1.25/1.09 tff(2352,plain,
% 1.25/1.09 (((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a221) | c0_1(a221) | (~c3_1(a221))) <=> (c0_1(a221) | c2_1(a221) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | (~c3_1(a221)))),
% 1.25/1.09 inference(rewrite,[status(thm)],[])).
% 1.25/1.09 tff(2353,plain,
% 1.25/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a221) | c0_1(a221) | (~c3_1(a221)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a221) | c2_1(a221) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | (~c3_1(a221))))),
% 1.25/1.09 inference(monotonicity,[status(thm)],[2352])).
% 1.25/1.09 tff(2354,plain,
% 1.25/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a221) | c0_1(a221) | (~c3_1(a221)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a221) | c2_1(a221) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | (~c3_1(a221)))),
% 1.25/1.09 inference(transitivity,[status(thm)],[2353, 2351])).
% 1.25/1.09 tff(2355,plain,
% 1.25/1.09 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c3_1(a190) | (~c2_1(a190)) | (~c0_1(a190)) | c3_1(a214) | c1_1(a214) | (~c2_1(a214)) | c2_1(a221) | c0_1(a221) | (~c3_1(a221)))),
% 1.25/1.09 inference(quant_inst,[status(thm)],[])).
% 1.25/1.09 tff(2356,plain,
% 1.25/1.09 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a221) | c2_1(a221) | c3_1(a214) | c3_1(a190) | (~ndr1_0) | (~c2_1(a190)) | (~c0_1(a190)) | c1_1(a214) | (~c2_1(a214)) | (~c3_1(a221))),
% 1.25/1.09 inference(modus_ponens,[status(thm)],[2355, 2354])).
% 1.25/1.09 tff(2357,plain,
% 1.25/1.09 (~c3_1(a221)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[2356, 160, 1904, 2306, 2305, 2350, 2349, 1887, 2304, 493, 2302])).
% 1.25/1.09 tff(2358,plain,
% 1.25/1.09 (~hskp22),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[1978, 2304, 2302])).
% 1.25/1.09 tff(2359,plain,
% 1.25/1.09 (hskp24),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[1993, 14, 2358])).
% 1.25/1.09 tff(2360,plain,
% 1.25/1.09 (c3_1(a215)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[372, 2359])).
% 1.25/1.09 tff(2361,plain,
% 1.25/1.09 (c2_1(a215)),
% 1.25/1.09 inference(unit_resolution,[status(thm)],[383, 2359])).
% 1.25/1.09 tff(2362,plain,
% 1.25/1.09 (c1_1(a215)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[394, 2359])).
% 1.25/1.10 tff(2363,plain,
% 1.25/1.10 (~c0_1(a215)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[1311, 160, 2362, 2361, 2360, 2306, 2304, 512, 2308])).
% 1.25/1.10 tff(2364,plain,
% 1.25/1.10 (~c1_1(a221)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[2111, 2348])).
% 1.25/1.10 tff(2365,plain,
% 1.25/1.10 (hskp10),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[2125, 160, 2362, 2360, 2364, 2349, 10, 2363, 2357])).
% 1.25/1.10 tff(2366,plain,
% 1.25/1.10 (c0_1(a200)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[331, 2365])).
% 1.25/1.10 tff(2367,plain,
% 1.25/1.10 (hskp6),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[2141, 160, 2350, 2349, 581, 2357])).
% 1.25/1.10 tff(2368,plain,
% 1.25/1.10 (~c3_1(a195)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[594, 2367])).
% 1.25/1.10 tff(2369,plain,
% 1.25/1.10 (~c1_1(a195)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[611, 2367])).
% 1.25/1.10 tff(2370,plain,
% 1.25/1.10 (c0_1(a195)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[605, 2367])).
% 1.25/1.10 tff(2371,plain,
% 1.25/1.10 (c3_1(a200)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[342, 2365])).
% 1.25/1.10 tff(2372,plain,
% 1.25/1.10 (~c2_1(a200)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[630, 2371, 2301, 2370, 2369, 2368, 2366])).
% 1.25/1.10 tff(2373,plain,
% 1.25/1.10 (~c1_1(a225)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[459, 2307])).
% 1.25/1.10 tff(2374,plain,
% 1.25/1.10 (c3_1(a225)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[247, 2307])).
% 1.25/1.10 tff(2375,plain,
% 1.25/1.10 (c2_1(a225)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[2016, 160, 2362, 2361, 2374, 1904, 2373, 1893, 2008, 2363, 2302])).
% 1.25/1.10 tff(2376,plain,
% 1.25/1.10 (~c1_1(a200)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[409, 2365])).
% 1.25/1.10 tff(2377,plain,
% 1.25/1.10 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c2_1(a215)) | c0_1(a215) | (~c3_1(a215)) | c3_1(a221))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c2_1(a215)) | c0_1(a215) | (~c3_1(a215)) | c3_1(a221))),
% 1.25/1.10 inference(rewrite,[status(thm)],[])).
% 1.25/1.10 tff(2378,plain,
% 1.25/1.10 ((hskp13 | (~ndr1_0) | c0_1(a215) | (~c3_1(a215)) | (~c2_1(a215)) | c3_1(a221) | c1_1(a221) | c2_1(a221)) <=> (hskp13 | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c2_1(a215)) | c0_1(a215) | (~c3_1(a215)) | c3_1(a221))),
% 1.25/1.10 inference(rewrite,[status(thm)],[])).
% 1.25/1.10 tff(2379,plain,
% 1.25/1.10 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a215) | (~c3_1(a215)) | (~c2_1(a215)) | c3_1(a221) | c1_1(a221) | c2_1(a221))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c2_1(a215)) | c0_1(a215) | (~c3_1(a215)) | c3_1(a221)))),
% 1.25/1.10 inference(monotonicity,[status(thm)],[2378])).
% 1.25/1.10 tff(2380,plain,
% 1.25/1.10 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a215) | (~c3_1(a215)) | (~c2_1(a215)) | c3_1(a221) | c1_1(a221) | c2_1(a221))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c2_1(a215)) | c0_1(a215) | (~c3_1(a215)) | c3_1(a221))),
% 1.25/1.10 inference(transitivity,[status(thm)],[2379, 2377])).
% 1.25/1.10 tff(2381,plain,
% 1.25/1.10 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | (hskp13 | (~ndr1_0) | c0_1(a215) | (~c3_1(a215)) | (~c2_1(a215)) | c3_1(a221) | c1_1(a221) | c2_1(a221))),
% 1.25/1.10 inference(quant_inst,[status(thm)],[])).
% 1.25/1.10 tff(2382,plain,
% 1.25/1.10 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(U)) | c3_1(V) | c1_1(V) | c2_1(V))) | hskp13 | c1_1(a221) | c2_1(a221) | (~ndr1_0) | (~c2_1(a215)) | c0_1(a215) | (~c3_1(a215)) | c3_1(a221)),
% 1.25/1.10 inference(modus_ponens,[status(thm)],[2381, 2380])).
% 1.25/1.10 tff(2383,plain,
% 1.25/1.10 (hskp13),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[2382, 160, 2361, 2360, 2364, 2349, 267, 2363, 2357])).
% 1.25/1.10 tff(2384,plain,
% 1.25/1.10 (~c0_1(a209)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[423, 2383])).
% 1.25/1.10 tff(2385,plain,
% 1.25/1.10 (~c0_1(a225)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[253, 2307])).
% 1.25/1.10 tff(2386,plain,
% 1.25/1.10 (c3_1(a209)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[434, 2383])).
% 1.25/1.10 tff(2387,plain,
% 1.25/1.10 (c1_1(a209)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[445, 2383])).
% 1.25/1.10 tff(2388,plain,
% 1.25/1.10 ($false),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[481, 160, 2387, 2386, 2366, 2385, 2373, 2384, 2376, 65, 2375, 2372])).
% 1.25/1.10 tff(2389,plain,(hskp2), inference(lemma,lemma(discharge,[]))).
% 1.25/1.10 tff(2390,plain,
% 1.25/1.10 (~c3_1(a191)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[42, 2389])).
% 1.25/1.10 tff(2391,plain,
% 1.25/1.10 (~c2_1(a191)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[48, 2389])).
% 1.25/1.10 tff(2392,plain,
% 1.25/1.10 (~c1_1(a191)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[54, 2389])).
% 1.25/1.10 tff(2393,plain,
% 1.25/1.10 (hskp13),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[417, 2392, 2374, 2385, 2391, 2390])).
% 1.25/1.10 tff(2394,plain,
% 1.25/1.10 (~c0_1(a209)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[423, 2393])).
% 1.25/1.10 tff(2395,plain,
% 1.25/1.10 (c3_1(a209)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[434, 2393])).
% 1.25/1.10 tff(2396,plain,
% 1.25/1.10 (c1_1(a209)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[445, 2393])).
% 1.25/1.10 tff(2397,plain,
% 1.25/1.10 (hskp10),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[452, 160, 2396, 2395, 2394, 2392, 2391, 2390, 10])).
% 1.25/1.10 tff(2398,plain,
% 1.25/1.10 (c0_1(a200)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[331, 2397])).
% 1.25/1.10 tff(2399,plain,
% 1.25/1.10 (~c0_1(a191)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[2286, 160, 1904, 2396, 2395, 1893, 2394, 2392, 2391, 65, 2302])).
% 1.25/1.10 tff(2400,plain,
% 1.25/1.10 (hskp6),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[587, 160, 2391, 2390, 581, 2399])).
% 1.25/1.10 tff(2401,plain,
% 1.25/1.10 (~c3_1(a195)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[594, 2400])).
% 1.25/1.10 tff(2402,plain,
% 1.25/1.10 (~c1_1(a195)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[611, 2400])).
% 1.25/1.10 tff(2403,plain,
% 1.25/1.10 (c0_1(a195)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[605, 2400])).
% 1.25/1.10 tff(2404,plain,
% 1.25/1.10 (c3_1(a200)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[342, 2397])).
% 1.25/1.10 tff(2405,plain,
% 1.25/1.10 (~c2_1(a200)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[630, 2404, 2301, 2403, 2402, 2401, 2398])).
% 1.25/1.10 tff(2406,plain,
% 1.25/1.10 (c2_1(a225)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[291, 160, 2374, 2385, 2392, 2391, 2390, 285, 2399])).
% 1.25/1.10 tff(2407,plain,
% 1.25/1.10 (~c1_1(a200)),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[409, 2397])).
% 1.25/1.10 tff(2408,plain,
% 1.25/1.10 ($false),
% 1.25/1.10 inference(unit_resolution,[status(thm)],[481, 160, 2396, 2395, 2398, 2385, 2373, 2394, 2407, 65, 2406, 2405])).
% 1.25/1.10 % SZS output end Proof
%------------------------------------------------------------------------------