TSTP Solution File: SYN462-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN462-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n020.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 23:55:36 EDT 2022
% Result : Unsatisfiable 0.84s 0.83s
% Output : Proof 1.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN462-1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 04:02:58 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.84/0.83 % SZS status Unsatisfiable
% 0.84/0.83 % SZS output start Proof
% 0.84/0.83 tff(c2_1_type, type, (
% 0.84/0.83 c2_1: $i > $o)).
% 0.84/0.83 tff(a272_type, type, (
% 0.84/0.83 a272: $i)).
% 0.84/0.83 tff(c0_1_type, type, (
% 0.84/0.83 c0_1: $i > $o)).
% 0.84/0.83 tff(hskp5_type, type, (
% 0.84/0.83 hskp5: $o)).
% 0.84/0.83 tff(c3_1_type, type, (
% 0.84/0.83 c3_1: $i > $o)).
% 0.84/0.83 tff(a293_type, type, (
% 0.84/0.83 a293: $i)).
% 0.84/0.83 tff(hskp23_type, type, (
% 0.84/0.83 hskp23: $o)).
% 0.84/0.83 tff(a287_type, type, (
% 0.84/0.83 a287: $i)).
% 0.84/0.83 tff(a313_type, type, (
% 0.84/0.83 a313: $i)).
% 0.84/0.83 tff(c1_1_type, type, (
% 0.84/0.83 c1_1: $i > $o)).
% 0.84/0.83 tff(ndr1_0_type, type, (
% 0.84/0.83 ndr1_0: $o)).
% 0.84/0.83 tff(hskp2_type, type, (
% 0.84/0.83 hskp2: $o)).
% 0.84/0.83 tff(a269_type, type, (
% 0.84/0.83 a269: $i)).
% 0.84/0.83 tff(a275_type, type, (
% 0.84/0.83 a275: $i)).
% 0.84/0.83 tff(hskp8_type, type, (
% 0.84/0.83 hskp8: $o)).
% 0.84/0.83 tff(a274_type, type, (
% 0.84/0.83 a274: $i)).
% 0.84/0.83 tff(hskp7_type, type, (
% 0.84/0.83 hskp7: $o)).
% 0.84/0.83 tff(a278_type, type, (
% 0.84/0.83 a278: $i)).
% 0.84/0.83 tff(hskp28_type, type, (
% 0.84/0.83 hskp28: $o)).
% 0.84/0.83 tff(hskp16_type, type, (
% 0.84/0.83 hskp16: $o)).
% 0.84/0.83 tff(a270_type, type, (
% 0.84/0.83 a270: $i)).
% 0.84/0.83 tff(hskp3_type, type, (
% 0.84/0.83 hskp3: $o)).
% 0.84/0.83 tff(a280_type, type, (
% 0.84/0.83 a280: $i)).
% 0.84/0.83 tff(hskp9_type, type, (
% 0.84/0.83 hskp9: $o)).
% 0.84/0.83 tff(a298_type, type, (
% 0.84/0.83 a298: $i)).
% 0.84/0.83 tff(hskp18_type, type, (
% 0.84/0.83 hskp18: $o)).
% 0.84/0.83 tff(hskp4_type, type, (
% 0.84/0.83 hskp4: $o)).
% 0.84/0.83 tff(a271_type, type, (
% 0.84/0.83 a271: $i)).
% 0.84/0.83 tff(hskp14_type, type, (
% 0.84/0.83 hskp14: $o)).
% 0.84/0.83 tff(hskp30_type, type, (
% 0.84/0.83 hskp30: $o)).
% 0.84/0.83 tff(a282_type, type, (
% 0.84/0.83 a282: $i)).
% 0.84/0.83 tff(hskp11_type, type, (
% 0.84/0.83 hskp11: $o)).
% 0.84/0.83 tff(a337_type, type, (
% 0.84/0.83 a337: $i)).
% 0.84/0.83 tff(hskp6_type, type, (
% 0.84/0.83 hskp6: $o)).
% 0.84/0.83 tff(a276_type, type, (
% 0.84/0.83 a276: $i)).
% 0.84/0.83 tff(hskp27_type, type, (
% 0.84/0.83 hskp27: $o)).
% 0.84/0.83 tff(a295_type, type, (
% 0.84/0.83 a295: $i)).
% 0.84/0.83 tff(hskp17_type, type, (
% 0.84/0.83 hskp17: $o)).
% 0.84/0.83 tff(a273_type, type, (
% 0.84/0.83 a273: $i)).
% 0.84/0.83 tff(a267_type, type, (
% 0.84/0.83 a267: $i)).
% 0.84/0.83 tff(hskp0_type, type, (
% 0.84/0.83 hskp0: $o)).
% 0.84/0.83 tff(a352_type, type, (
% 0.84/0.83 a352: $i)).
% 0.84/0.83 tff(hskp25_type, type, (
% 0.84/0.83 hskp25: $o)).
% 0.84/0.83 tff(hskp12_type, type, (
% 0.84/0.83 hskp12: $o)).
% 0.84/0.83 tff(a284_type, type, (
% 0.84/0.83 a284: $i)).
% 0.84/0.83 tff(a268_type, type, (
% 0.84/0.83 a268: $i)).
% 0.84/0.83 tff(hskp1_type, type, (
% 0.84/0.83 hskp1: $o)).
% 0.84/0.83 tff(a307_type, type, (
% 0.84/0.83 a307: $i)).
% 0.84/0.83 tff(hskp21_type, type, (
% 0.84/0.83 hskp21: $o)).
% 0.84/0.83 tff(1,plain,
% 0.84/0.83 (^[V: $i, U: $i] : refl((hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)) <=> (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)))),
% 0.84/0.83 inference(bind,[status(th)],[])).
% 0.84/0.83 tff(2,plain,
% 0.84/0.83 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)) <=> ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.84/0.83 inference(quant_intro,[status(thm)],[1])).
% 0.84/0.83 tff(3,plain,
% 0.84/0.83 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)) <=> ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.84/0.83 inference(rewrite,[status(thm)],[])).
% 0.84/0.83 tff(4,plain,
% 0.84/0.83 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(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) | c2_1(U) | c0_1(U))), ((((~ndr1_0) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U)))), (((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c2_1(U) | c0_1(U)) | c3_1(U)))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))), (((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U)))), ((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U)) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c0_1(V))), ((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c0_1(V)))), (((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c0_1(V)) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c1_1(V) | c0_1(V))), (((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c1_1(V) | c0_1(V)))), ((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c1_1(V) | c0_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c1_1(V) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))), ((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)))), (((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp2) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)) | hskp2))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)) | hskp2) <=> (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))), (((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp2) <=> (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))))),
% 0.84/0.83 inference(bind,[status(th)],[])).
% 0.84/0.83 tff(5,plain,
% 0.84/0.83 (![V: $i, U: $i] : ((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp2) <=> ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.84/0.83 inference(quant_intro,[status(thm)],[4])).
% 0.84/0.83 tff(6,axiom,(![V: $i, U: $i] : ((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause157')).
% 0.84/0.83 tff(7,plain,
% 0.84/0.83 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.84/0.83 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.84/0.83 tff(8,plain,
% 0.84/0.83 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.84/0.83 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.84/0.83 tff(9,plain,(
% 0.84/0.83 ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.84/0.83 inference(skolemize,[status(sab)],[8])).
% 0.84/0.83 tff(10,plain,
% 0.84/0.83 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.84/0.83 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.84/0.83 tff(11,assumption,(hskp23), introduced(assumption)).
% 0.84/0.83 tff(12,plain,
% 0.84/0.83 (((~hskp23) | (~c3_1(a313))) <=> ((~hskp23) | (~c3_1(a313)))),
% 0.84/0.83 inference(rewrite,[status(thm)],[])).
% 0.84/0.83 tff(13,plain,
% 0.84/0.83 (((~c3_1(a313)) | (~hskp23)) <=> ((~hskp23) | (~c3_1(a313)))),
% 0.84/0.83 inference(rewrite,[status(thm)],[])).
% 0.84/0.83 tff(14,axiom,((~c3_1(a313)) | (~hskp23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause97')).
% 0.84/0.83 tff(15,plain,
% 0.84/0.83 ((~hskp23) | (~c3_1(a313))),
% 0.84/0.83 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.84/0.83 tff(16,plain,
% 0.84/0.83 ((~hskp23) | (~c3_1(a313))),
% 0.84/0.83 inference(modus_ponens,[status(thm)],[15, 12])).
% 0.84/0.83 tff(17,plain,
% 0.84/0.83 (~c3_1(a313)),
% 0.84/0.83 inference(unit_resolution,[status(thm)],[16, 11])).
% 0.84/0.83 tff(18,plain,
% 0.84/0.83 (((~hskp23) | (~c2_1(a313))) <=> ((~hskp23) | (~c2_1(a313)))),
% 0.84/0.83 inference(rewrite,[status(thm)],[])).
% 0.84/0.83 tff(19,plain,
% 0.84/0.83 (((~c2_1(a313)) | (~hskp23)) <=> ((~hskp23) | (~c2_1(a313)))),
% 0.84/0.83 inference(rewrite,[status(thm)],[])).
% 0.84/0.83 tff(20,axiom,((~c2_1(a313)) | (~hskp23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause96')).
% 0.84/0.83 tff(21,plain,
% 0.84/0.83 ((~hskp23) | (~c2_1(a313))),
% 0.84/0.83 inference(modus_ponens,[status(thm)],[20, 19])).
% 0.84/0.83 tff(22,plain,
% 0.84/0.83 ((~hskp23) | (~c2_1(a313))),
% 0.84/0.83 inference(modus_ponens,[status(thm)],[21, 18])).
% 0.84/0.83 tff(23,plain,
% 0.84/0.83 (~c2_1(a313)),
% 0.84/0.83 inference(unit_resolution,[status(thm)],[22, 11])).
% 0.84/0.83 tff(24,plain,
% 0.84/0.83 (((~hskp23) | (~c1_1(a313))) <=> ((~hskp23) | (~c1_1(a313)))),
% 0.84/0.83 inference(rewrite,[status(thm)],[])).
% 0.84/0.83 tff(25,plain,
% 0.84/0.83 (((~c1_1(a313)) | (~hskp23)) <=> ((~hskp23) | (~c1_1(a313)))),
% 0.84/0.83 inference(rewrite,[status(thm)],[])).
% 0.84/0.83 tff(26,axiom,((~c1_1(a313)) | (~hskp23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause95')).
% 0.84/0.83 tff(27,plain,
% 0.84/0.83 ((~hskp23) | (~c1_1(a313))),
% 0.84/0.83 inference(modus_ponens,[status(thm)],[26, 25])).
% 0.84/0.83 tff(28,plain,
% 0.84/0.83 ((~hskp23) | (~c1_1(a313))),
% 0.84/0.83 inference(modus_ponens,[status(thm)],[27, 24])).
% 0.84/0.83 tff(29,plain,
% 0.84/0.83 (~c1_1(a313)),
% 0.84/0.83 inference(unit_resolution,[status(thm)],[28, 11])).
% 0.84/0.83 tff(30,assumption,(~c2_1(a269)), introduced(assumption)).
% 0.84/0.83 tff(31,assumption,(~hskp23), introduced(assumption)).
% 0.84/0.83 tff(32,assumption,(~hskp8), introduced(assumption)).
% 0.84/0.83 tff(33,plain,
% 0.84/0.83 (^[V: $i, U: $i] : refl((hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))))),
% 0.84/0.83 inference(bind,[status(th)],[])).
% 0.84/0.83 tff(34,plain,
% 0.84/0.83 (![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.84/0.83 inference(quant_intro,[status(thm)],[33])).
% 0.84/0.83 tff(35,plain,
% 0.84/0.83 (![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.84/0.83 inference(rewrite,[status(thm)],[])).
% 0.84/0.83 tff(36,plain,
% 0.84/0.83 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) <=> ((~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c1_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c1_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c2_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c2_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c2_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c2_1(V)) | hskp23) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp23))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp23) <=> (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c2_1(V)) | hskp23) <=> (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))))),
% 0.84/0.83 inference(bind,[status(th)],[])).
% 0.84/0.83 tff(37,plain,
% 0.84/0.83 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c2_1(V)) | hskp23) <=> ![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.84/0.83 inference(quant_intro,[status(thm)],[36])).
% 0.84/0.83 tff(38,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c2_1(V)) | hskp23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause174')).
% 0.84/0.83 tff(39,plain,
% 0.84/0.83 (![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.84/0.83 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.84/0.83 tff(40,plain,
% 0.84/0.83 (![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.84/0.83 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.84/0.83 tff(41,plain,(
% 0.84/0.83 ![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.84/0.83 inference(skolemize,[status(sab)],[40])).
% 0.84/0.83 tff(42,plain,
% 0.84/0.83 (![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.84/0.83 inference(modus_ponens,[status(thm)],[41, 34])).
% 0.84/0.83 tff(43,assumption,(~hskp16), introduced(assumption)).
% 0.84/0.83 tff(44,plain,
% 0.84/0.83 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W))))),
% 0.84/0.83 inference(bind,[status(th)],[])).
% 0.84/0.83 tff(45,plain,
% 0.84/0.83 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_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)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))),
% 0.84/0.83 inference(quant_intro,[status(thm)],[44])).
% 0.84/0.83 tff(46,plain,
% 0.84/0.83 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_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)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))),
% 0.84/0.83 inference(rewrite,[status(thm)],[])).
% 0.84/0.83 tff(47,plain,
% 0.84/0.83 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) <=> ((~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)))), rewrite((((~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))))), ((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(V)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(V))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c0_1(V)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c0_1(V))))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c0_1(V))) | (~c0_1(W))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c0_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W)))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W))))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | (~c2_1(W))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W))) | (~c2_1(W))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W)) | (~c2_1(W)))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W)) | (~c2_1(W))))), ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | (~c2_1(W))) | c1_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W)) | (~c2_1(W))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W)) | (~c2_1(W))) | c1_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W)) | (~c2_1(W)))), ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | (~c2_1(W))) | c1_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W)) | (~c2_1(W))))), (((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | (~c2_1(W))) | c1_1(V)) | c1_1(W)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W)) | (~c2_1(W))) | c1_1(W)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W)) | (~c2_1(W))) | c1_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))), (((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | (~c2_1(W))) | c1_1(V)) | c1_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))))),
% 0.84/0.84 inference(bind,[status(th)],[])).
% 0.84/0.84 tff(48,plain,
% 0.84/0.84 (![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | (~c2_1(W))) | c1_1(V)) | c1_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))),
% 0.84/0.84 inference(quant_intro,[status(thm)],[47])).
% 0.84/0.84 tff(49,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | (~c2_1(W))) | c1_1(V)) | c1_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause184')).
% 0.84/0.84 tff(50,plain,
% 0.84/0.84 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.84/0.84 tff(51,plain,
% 0.84/0.84 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[50, 46])).
% 0.84/0.84 tff(52,plain,(
% 0.84/0.84 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))),
% 0.84/0.84 inference(skolemize,[status(sab)],[51])).
% 0.84/0.84 tff(53,plain,
% 0.84/0.84 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[52, 45])).
% 0.84/0.84 tff(54,assumption,(~hskp2), introduced(assumption)).
% 0.84/0.84 tff(55,assumption,(~hskp18), introduced(assumption)).
% 0.84/0.84 tff(56,plain,
% 0.84/0.84 ((hskp18 | hskp16 | hskp7) <=> (hskp18 | hskp16 | hskp7)),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(57,plain,
% 0.84/0.84 (((hskp16 | hskp7) | hskp18) <=> (hskp18 | hskp16 | hskp7)),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(58,axiom,((hskp16 | hskp7) | hskp18), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause34')).
% 0.84/0.84 tff(59,plain,
% 0.84/0.84 (hskp18 | hskp16 | hskp7),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[58, 57])).
% 0.84/0.84 tff(60,plain,
% 0.84/0.84 (hskp18 | hskp16 | hskp7),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[59, 56])).
% 0.84/0.84 tff(61,plain,
% 0.84/0.84 (hskp18 | hskp16 | hskp7),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[60, 56])).
% 0.84/0.84 tff(62,plain,
% 0.84/0.84 (hskp18 | hskp16 | hskp7),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[61, 56])).
% 0.84/0.84 tff(63,plain,
% 0.84/0.84 (hskp18 | hskp16 | hskp7),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[62, 56])).
% 0.84/0.84 tff(64,plain,
% 0.84/0.84 (hskp18 | hskp16 | hskp7),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[63, 56])).
% 0.84/0.84 tff(65,plain,
% 0.84/0.84 (hskp18 | hskp16 | hskp7),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[64, 56])).
% 0.84/0.84 tff(66,plain,
% 0.84/0.84 (hskp18 | hskp16 | hskp7),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[65, 56])).
% 0.84/0.84 tff(67,plain,
% 0.84/0.84 (hskp7),
% 0.84/0.84 inference(unit_resolution,[status(thm)],[66, 55, 43])).
% 0.84/0.84 tff(68,plain,
% 0.84/0.84 (((~hskp7) | (~c3_1(a274))) <=> ((~hskp7) | (~c3_1(a274)))),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(69,plain,
% 0.84/0.84 (((~c3_1(a274)) | (~hskp7)) <=> ((~hskp7) | (~c3_1(a274)))),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(70,axiom,((~c3_1(a274)) | (~hskp7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause121')).
% 0.84/0.84 tff(71,plain,
% 0.84/0.84 ((~hskp7) | (~c3_1(a274))),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[70, 69])).
% 0.84/0.84 tff(72,plain,
% 0.84/0.84 ((~hskp7) | (~c3_1(a274))),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[71, 68])).
% 0.84/0.84 tff(73,plain,
% 0.84/0.84 (~c3_1(a274)),
% 0.84/0.84 inference(unit_resolution,[status(thm)],[72, 67])).
% 0.84/0.84 tff(74,plain,
% 0.84/0.84 (((~hskp7) | c1_1(a274)) <=> ((~hskp7) | c1_1(a274))),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(75,axiom,((~hskp7) | c1_1(a274)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause79')).
% 0.84/0.84 tff(76,plain,
% 0.84/0.84 ((~hskp7) | c1_1(a274)),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.84/0.84 tff(77,plain,
% 0.84/0.84 ((~hskp7) | c1_1(a274)),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[76, 74])).
% 0.84/0.84 tff(78,plain,
% 0.84/0.84 ((~hskp7) | c1_1(a274)),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[77, 74])).
% 0.84/0.84 tff(79,plain,
% 0.84/0.84 ((~hskp7) | c1_1(a274)),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[78, 74])).
% 0.84/0.84 tff(80,plain,
% 0.84/0.84 ((~hskp7) | c1_1(a274)),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[79, 74])).
% 0.84/0.84 tff(81,plain,
% 0.84/0.84 ((~hskp7) | c1_1(a274)),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[80, 74])).
% 0.84/0.84 tff(82,plain,
% 0.84/0.84 ((~hskp7) | c1_1(a274)),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[81, 74])).
% 0.84/0.84 tff(83,plain,
% 0.84/0.84 ((~hskp7) | c1_1(a274)),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[82, 74])).
% 0.84/0.84 tff(84,plain,
% 0.84/0.84 (c1_1(a274)),
% 0.84/0.84 inference(unit_resolution,[status(thm)],[83, 67])).
% 0.84/0.84 tff(85,assumption,(hskp4), introduced(assumption)).
% 0.84/0.84 tff(86,plain,
% 0.84/0.84 (((~hskp4) | (~c3_1(a271))) <=> ((~hskp4) | (~c3_1(a271)))),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(87,plain,
% 0.84/0.84 (((~c3_1(a271)) | (~hskp4)) <=> ((~hskp4) | (~c3_1(a271)))),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(88,axiom,((~c3_1(a271)) | (~hskp4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause127')).
% 0.84/0.84 tff(89,plain,
% 0.84/0.84 ((~hskp4) | (~c3_1(a271))),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.84/0.84 tff(90,plain,
% 0.84/0.84 ((~hskp4) | (~c3_1(a271))),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[89, 86])).
% 0.84/0.84 tff(91,plain,
% 0.84/0.84 (~c3_1(a271)),
% 0.84/0.84 inference(unit_resolution,[status(thm)],[90, 85])).
% 0.84/0.84 tff(92,plain,
% 0.84/0.84 (((~hskp4) | (~c1_1(a271))) <=> ((~hskp4) | (~c1_1(a271)))),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(93,plain,
% 0.84/0.84 (((~c1_1(a271)) | (~hskp4)) <=> ((~hskp4) | (~c1_1(a271)))),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(94,axiom,((~c1_1(a271)) | (~hskp4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause126')).
% 0.84/0.84 tff(95,plain,
% 0.84/0.84 ((~hskp4) | (~c1_1(a271))),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.84/0.84 tff(96,plain,
% 0.84/0.84 ((~hskp4) | (~c1_1(a271))),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[95, 92])).
% 0.84/0.84 tff(97,plain,
% 0.84/0.84 (~c1_1(a271)),
% 0.84/0.84 inference(unit_resolution,[status(thm)],[96, 85])).
% 0.84/0.84 tff(98,plain,
% 0.84/0.84 (((~hskp4) | (~c0_1(a271))) <=> ((~hskp4) | (~c0_1(a271)))),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(99,plain,
% 0.84/0.84 (((~c0_1(a271)) | (~hskp4)) <=> ((~hskp4) | (~c0_1(a271)))),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(100,axiom,((~c0_1(a271)) | (~hskp4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause125')).
% 0.84/0.84 tff(101,plain,
% 0.84/0.84 ((~hskp4) | (~c0_1(a271))),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.84/0.84 tff(102,plain,
% 0.84/0.84 ((~hskp4) | (~c0_1(a271))),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[101, 98])).
% 0.84/0.84 tff(103,plain,
% 0.84/0.84 (~c0_1(a271)),
% 0.84/0.84 inference(unit_resolution,[status(thm)],[102, 85])).
% 0.84/0.84 tff(104,plain,
% 0.84/0.84 (^[U: $i] : refl((hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))) <=> (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))))),
% 0.84/0.84 inference(bind,[status(th)],[])).
% 0.84/0.84 tff(105,plain,
% 0.84/0.84 (![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))),
% 0.84/0.84 inference(quant_intro,[status(thm)],[104])).
% 0.84/0.84 tff(106,plain,
% 0.84/0.84 (![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(107,plain,
% 0.84/0.84 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c3_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U))))), (((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))), (((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))))), ((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp8) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))) | hskp8))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U))) | hskp8) <=> (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))), ((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp8) <=> (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))))),
% 0.84/0.84 inference(bind,[status(th)],[])).
% 0.84/0.84 tff(108,plain,
% 0.84/0.84 (![U: $i] : (((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp8) <=> ![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))),
% 0.84/0.84 inference(quant_intro,[status(thm)],[107])).
% 0.84/0.84 tff(109,axiom,(![U: $i] : (((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause138')).
% 0.84/0.84 tff(110,plain,
% 0.84/0.84 (![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[109, 108])).
% 0.84/0.84 tff(111,plain,
% 0.84/0.84 (![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[110, 106])).
% 0.84/0.84 tff(112,plain,(
% 0.84/0.84 ![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))),
% 0.84/0.84 inference(skolemize,[status(sab)],[111])).
% 0.84/0.84 tff(113,plain,
% 0.84/0.84 (![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[112, 105])).
% 0.84/0.84 tff(114,assumption,(~c3_1(a271)), introduced(assumption)).
% 0.84/0.84 tff(115,assumption,(~c1_1(a271)), introduced(assumption)).
% 0.84/0.84 tff(116,assumption,(~c0_1(a271)), introduced(assumption)).
% 0.84/0.84 tff(117,assumption,(~c2_1(a271)), introduced(assumption)).
% 0.84/0.84 tff(118,assumption,(~ndr1_0), introduced(assumption)).
% 0.84/0.84 tff(119,plain,
% 0.84/0.84 ((ndr1_0 | (~hskp5)) <=> (ndr1_0 | (~hskp5))),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(120,plain,
% 0.84/0.84 (((~hskp5) | ndr1_0) <=> (ndr1_0 | (~hskp5))),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(121,axiom,((~hskp5) | ndr1_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause26')).
% 0.84/0.84 tff(122,plain,
% 0.84/0.84 (ndr1_0 | (~hskp5)),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.84/0.84 tff(123,plain,
% 0.84/0.84 (ndr1_0 | (~hskp5)),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[122, 119])).
% 0.84/0.84 tff(124,plain,
% 0.84/0.84 (~hskp5),
% 0.84/0.84 inference(unit_resolution,[status(thm)],[123, 118])).
% 0.84/0.84 tff(125,plain,
% 0.84/0.84 (((~hskp30) | ndr1_0) <=> ((~hskp30) | ndr1_0)),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(126,axiom,((~hskp30) | ndr1_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause1')).
% 0.84/0.84 tff(127,plain,
% 0.84/0.84 ((~hskp30) | ndr1_0),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[126, 125])).
% 0.84/0.84 tff(128,plain,
% 0.84/0.84 ((~hskp30) | ndr1_0),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[127, 125])).
% 0.84/0.84 tff(129,plain,
% 0.84/0.84 ((~hskp30) | ndr1_0),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[128, 125])).
% 0.84/0.84 tff(130,plain,
% 0.84/0.84 ((~hskp30) | ndr1_0),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[129, 125])).
% 0.84/0.84 tff(131,plain,
% 0.84/0.84 ((~hskp30) | ndr1_0),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[130, 125])).
% 0.84/0.84 tff(132,plain,
% 0.84/0.84 ((~hskp30) | ndr1_0),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[131, 125])).
% 0.84/0.84 tff(133,plain,
% 0.84/0.84 ((~hskp30) | ndr1_0),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[132, 125])).
% 0.84/0.84 tff(134,plain,
% 0.84/0.84 ((~hskp30) | ndr1_0),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[133, 125])).
% 0.84/0.84 tff(135,plain,
% 0.84/0.84 (~hskp30),
% 0.84/0.84 inference(unit_resolution,[status(thm)],[134, 118])).
% 0.84/0.84 tff(136,plain,
% 0.84/0.84 ((ndr1_0 | (~hskp16)) <=> (ndr1_0 | (~hskp16))),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(137,plain,
% 0.84/0.84 (((~hskp16) | ndr1_0) <=> (ndr1_0 | (~hskp16))),
% 0.84/0.84 inference(rewrite,[status(thm)],[])).
% 0.84/0.84 tff(138,axiom,((~hskp16) | ndr1_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause15')).
% 0.84/0.84 tff(139,plain,
% 0.84/0.84 (ndr1_0 | (~hskp16)),
% 0.84/0.84 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.84/0.84 tff(140,plain,
% 0.84/0.84 (ndr1_0 | (~hskp16)),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[139, 136])).
% 0.95/0.84 tff(141,plain,
% 0.95/0.84 (~hskp16),
% 0.95/0.84 inference(unit_resolution,[status(thm)],[140, 118])).
% 0.95/0.84 tff(142,plain,
% 0.95/0.84 ((hskp30 | hskp16 | hskp5) <=> (hskp30 | hskp16 | hskp5)),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(143,plain,
% 0.95/0.84 (((hskp16 | hskp30) | hskp5) <=> (hskp30 | hskp16 | hskp5)),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(144,axiom,((hskp16 | hskp30) | hskp5), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause35')).
% 0.95/0.84 tff(145,plain,
% 0.95/0.84 (hskp30 | hskp16 | hskp5),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[144, 143])).
% 0.95/0.84 tff(146,plain,
% 0.95/0.84 (hskp30 | hskp16 | hskp5),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[145, 142])).
% 0.95/0.84 tff(147,plain,
% 0.95/0.84 (hskp30 | hskp16 | hskp5),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[146, 142])).
% 0.95/0.84 tff(148,plain,
% 0.95/0.84 (hskp30 | hskp16 | hskp5),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[147, 142])).
% 0.95/0.84 tff(149,plain,
% 0.95/0.84 (hskp30 | hskp16 | hskp5),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[148, 142])).
% 0.95/0.84 tff(150,plain,
% 0.95/0.84 (hskp30 | hskp16 | hskp5),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[149, 142])).
% 0.95/0.84 tff(151,plain,
% 0.95/0.84 (hskp30 | hskp16 | hskp5),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[150, 142])).
% 0.95/0.84 tff(152,plain,
% 0.95/0.84 (hskp30 | hskp16 | hskp5),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[151, 142])).
% 0.95/0.84 tff(153,plain,
% 0.95/0.84 ($false),
% 0.95/0.84 inference(unit_resolution,[status(thm)],[152, 141, 135, 124])).
% 0.95/0.84 tff(154,plain,(ndr1_0), inference(lemma,lemma(discharge,[]))).
% 0.95/0.84 tff(155,plain,
% 0.95/0.84 (((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | c1_1(a271) | (~c3_1(a271)) | (~ndr1_0) | c2_1(a271))) <=> ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp8 | c1_1(a271) | (~c3_1(a271)) | (~ndr1_0) | c2_1(a271))),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(156,plain,
% 0.95/0.84 ((hskp8 | (~ndr1_0) | c2_1(a271) | c1_1(a271) | (~c3_1(a271))) <=> (hskp8 | c1_1(a271) | (~c3_1(a271)) | (~ndr1_0) | c2_1(a271))),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(157,plain,
% 0.95/0.84 (((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | (~ndr1_0) | c2_1(a271) | c1_1(a271) | (~c3_1(a271)))) <=> ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | c1_1(a271) | (~c3_1(a271)) | (~ndr1_0) | c2_1(a271)))),
% 0.95/0.84 inference(monotonicity,[status(thm)],[156])).
% 0.95/0.84 tff(158,plain,
% 0.95/0.84 (((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | (~ndr1_0) | c2_1(a271) | c1_1(a271) | (~c3_1(a271)))) <=> ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp8 | c1_1(a271) | (~c3_1(a271)) | (~ndr1_0) | c2_1(a271))),
% 0.95/0.84 inference(transitivity,[status(thm)],[157, 155])).
% 0.95/0.84 tff(159,plain,
% 0.95/0.84 ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | (~ndr1_0) | c2_1(a271) | c1_1(a271) | (~c3_1(a271)))),
% 0.95/0.84 inference(quant_inst,[status(thm)],[])).
% 0.95/0.84 tff(160,plain,
% 0.95/0.84 ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp8 | c1_1(a271) | (~c3_1(a271)) | (~ndr1_0) | c2_1(a271)),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[159, 158])).
% 0.95/0.84 tff(161,plain,
% 0.95/0.84 ((~c3_1(a271)) | c2_1(a271)),
% 0.95/0.84 inference(unit_resolution,[status(thm)],[160, 154, 32, 115, 113])).
% 0.95/0.84 tff(162,plain,
% 0.95/0.84 (~c3_1(a271)),
% 0.95/0.84 inference(unit_resolution,[status(thm)],[161, 117])).
% 0.95/0.84 tff(163,plain,
% 0.95/0.84 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0) | c2_1(a271))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0) | c2_1(a271))),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(164,plain,
% 0.95/0.84 ((hskp2 | (~ndr1_0) | c2_1(a271) | c0_1(a271) | c3_1(a271) | c3_1(a271) | c1_1(a271) | c0_1(a271)) <=> (hskp2 | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0) | c2_1(a271))),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(165,plain,
% 0.95/0.84 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a271) | c0_1(a271) | c3_1(a271) | c3_1(a271) | c1_1(a271) | c0_1(a271))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0) | c2_1(a271)))),
% 0.95/0.84 inference(monotonicity,[status(thm)],[164])).
% 0.95/0.84 tff(166,plain,
% 0.95/0.84 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a271) | c0_1(a271) | c3_1(a271) | c3_1(a271) | c1_1(a271) | c0_1(a271))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0) | c2_1(a271))),
% 0.95/0.84 inference(transitivity,[status(thm)],[165, 163])).
% 0.95/0.84 tff(167,plain,
% 0.95/0.84 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a271) | c0_1(a271) | c3_1(a271) | c3_1(a271) | c1_1(a271) | c0_1(a271))),
% 0.95/0.84 inference(quant_inst,[status(thm)],[])).
% 0.95/0.84 tff(168,plain,
% 0.95/0.84 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0) | c2_1(a271)),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.95/0.84 tff(169,plain,
% 0.95/0.84 ($false),
% 0.95/0.84 inference(unit_resolution,[status(thm)],[168, 154, 54, 116, 115, 162, 10, 117])).
% 0.95/0.84 tff(170,plain,(c2_1(a271) | hskp2 | c0_1(a271) | c1_1(a271) | hskp8), inference(lemma,lemma(discharge,[]))).
% 0.95/0.84 tff(171,plain,
% 0.95/0.84 (c2_1(a271)),
% 0.95/0.84 inference(unit_resolution,[status(thm)],[170, 32, 116, 115, 54])).
% 0.95/0.84 tff(172,plain,
% 0.95/0.84 (^[U: $i] : refl((hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U))) <=> (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U))))),
% 0.95/0.84 inference(bind,[status(th)],[])).
% 0.95/0.84 tff(173,plain,
% 0.95/0.84 (![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U))) <=> ![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))),
% 0.95/0.84 inference(quant_intro,[status(thm)],[172])).
% 0.95/0.84 tff(174,plain,
% 0.95/0.84 (![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U))) <=> ![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(175,plain,
% 0.95/0.84 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c2_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)))), ((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c2_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)))), ((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U))))), (((((~c2_1(U)) | (~ndr1_0)) | c0_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) | c0_1(U) | c3_1(U) | (~c2_1(U)))), (((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U))))), ((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp14) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U))) | hskp14))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U))) | hskp14) <=> (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))), ((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp14) <=> (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))))),
% 0.95/0.84 inference(bind,[status(th)],[])).
% 0.95/0.84 tff(176,plain,
% 0.95/0.84 (![U: $i] : (((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp14) <=> ![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))),
% 0.95/0.84 inference(quant_intro,[status(thm)],[175])).
% 0.95/0.84 tff(177,axiom,(![U: $i] : (((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause137')).
% 0.95/0.84 tff(178,plain,
% 0.95/0.84 (![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.95/0.84 tff(179,plain,
% 0.95/0.84 (![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[178, 174])).
% 0.95/0.84 tff(180,plain,(
% 0.95/0.84 ![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))),
% 0.95/0.84 inference(skolemize,[status(sab)],[179])).
% 0.95/0.84 tff(181,plain,
% 0.95/0.84 (![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[180, 173])).
% 0.95/0.84 tff(182,plain,
% 0.95/0.84 (((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp14 | c0_1(a271) | c3_1(a271) | (~ndr1_0) | (~c2_1(a271)))) <=> ((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | hskp14 | c0_1(a271) | c3_1(a271) | (~ndr1_0) | (~c2_1(a271)))),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(183,plain,
% 0.95/0.84 ((hskp14 | (~ndr1_0) | c0_1(a271) | c3_1(a271) | (~c2_1(a271))) <=> (hskp14 | c0_1(a271) | c3_1(a271) | (~ndr1_0) | (~c2_1(a271)))),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(184,plain,
% 0.95/0.84 (((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp14 | (~ndr1_0) | c0_1(a271) | c3_1(a271) | (~c2_1(a271)))) <=> ((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp14 | c0_1(a271) | c3_1(a271) | (~ndr1_0) | (~c2_1(a271))))),
% 0.95/0.84 inference(monotonicity,[status(thm)],[183])).
% 0.95/0.84 tff(185,plain,
% 0.95/0.84 (((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp14 | (~ndr1_0) | c0_1(a271) | c3_1(a271) | (~c2_1(a271)))) <=> ((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | hskp14 | c0_1(a271) | c3_1(a271) | (~ndr1_0) | (~c2_1(a271)))),
% 0.95/0.84 inference(transitivity,[status(thm)],[184, 182])).
% 0.95/0.84 tff(186,plain,
% 0.95/0.84 ((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp14 | (~ndr1_0) | c0_1(a271) | c3_1(a271) | (~c2_1(a271)))),
% 0.95/0.84 inference(quant_inst,[status(thm)],[])).
% 0.95/0.84 tff(187,plain,
% 0.95/0.84 ((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | hskp14 | c0_1(a271) | c3_1(a271) | (~ndr1_0) | (~c2_1(a271))),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[186, 185])).
% 0.95/0.84 tff(188,plain,
% 0.95/0.84 (hskp14 | (~c2_1(a271))),
% 0.95/0.84 inference(unit_resolution,[status(thm)],[187, 154, 116, 114, 181])).
% 0.95/0.84 tff(189,plain,
% 0.95/0.84 (hskp14),
% 0.95/0.84 inference(unit_resolution,[status(thm)],[188, 171])).
% 0.95/0.84 tff(190,plain,
% 0.95/0.84 (((~hskp14) | (~c2_1(a287))) <=> ((~hskp14) | (~c2_1(a287)))),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(191,plain,
% 0.95/0.84 (((~c2_1(a287)) | (~hskp14)) <=> ((~hskp14) | (~c2_1(a287)))),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(192,axiom,((~c2_1(a287)) | (~hskp14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause109')).
% 0.95/0.84 tff(193,plain,
% 0.95/0.84 ((~hskp14) | (~c2_1(a287))),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[192, 191])).
% 0.95/0.84 tff(194,plain,
% 0.95/0.84 ((~hskp14) | (~c2_1(a287))),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[193, 190])).
% 0.95/0.84 tff(195,plain,
% 0.95/0.84 (~c2_1(a287)),
% 0.95/0.84 inference(unit_resolution,[status(thm)],[194, 189])).
% 0.95/0.84 tff(196,plain,
% 0.95/0.84 (((~hskp14) | (~c0_1(a287))) <=> ((~hskp14) | (~c0_1(a287)))),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(197,plain,
% 0.95/0.84 (((~c0_1(a287)) | (~hskp14)) <=> ((~hskp14) | (~c0_1(a287)))),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(198,axiom,((~c0_1(a287)) | (~hskp14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause108')).
% 0.95/0.84 tff(199,plain,
% 0.95/0.84 ((~hskp14) | (~c0_1(a287))),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[198, 197])).
% 0.95/0.84 tff(200,plain,
% 0.95/0.84 ((~hskp14) | (~c0_1(a287))),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[199, 196])).
% 0.95/0.84 tff(201,plain,
% 0.95/0.84 (~c0_1(a287)),
% 0.95/0.84 inference(unit_resolution,[status(thm)],[200, 189])).
% 0.95/0.84 tff(202,plain,
% 0.95/0.84 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | c0_1(a287) | c2_1(a287) | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0) | c3_1(a287))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a287) | c2_1(a287) | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0) | c3_1(a287))),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(203,plain,
% 0.95/0.84 ((hskp2 | (~ndr1_0) | c2_1(a287) | c0_1(a287) | c3_1(a287) | c3_1(a271) | c1_1(a271) | c0_1(a271)) <=> (hskp2 | c0_1(a287) | c2_1(a287) | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0) | c3_1(a287))),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(204,plain,
% 0.95/0.84 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a287) | c0_1(a287) | c3_1(a287) | c3_1(a271) | c1_1(a271) | c0_1(a271))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | c0_1(a287) | c2_1(a287) | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0) | c3_1(a287)))),
% 0.95/0.84 inference(monotonicity,[status(thm)],[203])).
% 0.95/0.84 tff(205,plain,
% 0.95/0.84 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a287) | c0_1(a287) | c3_1(a287) | c3_1(a271) | c1_1(a271) | c0_1(a271))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a287) | c2_1(a287) | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0) | c3_1(a287))),
% 0.95/0.84 inference(transitivity,[status(thm)],[204, 202])).
% 0.95/0.84 tff(206,plain,
% 0.95/0.84 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a287) | c0_1(a287) | c3_1(a287) | c3_1(a271) | c1_1(a271) | c0_1(a271))),
% 0.95/0.84 inference(quant_inst,[status(thm)],[])).
% 0.95/0.84 tff(207,plain,
% 0.95/0.84 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a287) | c2_1(a287) | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0) | c3_1(a287)),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[206, 205])).
% 0.95/0.84 tff(208,plain,
% 0.95/0.84 (c3_1(a287)),
% 0.95/0.84 inference(unit_resolution,[status(thm)],[207, 154, 54, 201, 195, 116, 115, 114, 10])).
% 0.95/0.84 tff(209,plain,
% 0.95/0.84 (^[V: $i, U: $i] : refl((hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))))),
% 0.95/0.84 inference(bind,[status(th)],[])).
% 0.95/0.84 tff(210,plain,
% 0.95/0.84 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.95/0.84 inference(quant_intro,[status(thm)],[209])).
% 0.95/0.84 tff(211,plain,
% 0.95/0.84 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.95/0.84 inference(rewrite,[status(thm)],[])).
% 0.95/0.84 tff(212,plain,
% 0.95/0.84 (^[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)) | (~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))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | hskp16) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp16))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp16) <=> (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | hskp16) <=> (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))))),
% 0.95/0.84 inference(bind,[status(th)],[])).
% 0.95/0.84 tff(213,plain,
% 0.95/0.84 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | hskp16) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.95/0.84 inference(quant_intro,[status(thm)],[212])).
% 0.95/0.84 tff(214,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | hskp16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause169')).
% 0.95/0.84 tff(215,plain,
% 0.95/0.84 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[214, 213])).
% 0.95/0.84 tff(216,plain,
% 0.95/0.84 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.95/0.84 inference(modus_ponens,[status(thm)],[215, 211])).
% 0.95/0.84 tff(217,plain,(
% 0.95/0.84 ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.95/0.85 inference(skolemize,[status(sab)],[216])).
% 0.95/0.85 tff(218,plain,
% 0.95/0.85 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[217, 210])).
% 0.95/0.85 tff(219,plain,
% 0.95/0.85 (^[U: $i] : refl((hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) <=> (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))))),
% 0.95/0.85 inference(bind,[status(th)],[])).
% 0.95/0.85 tff(220,plain,
% 0.95/0.85 (![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 0.95/0.85 inference(quant_intro,[status(thm)],[219])).
% 0.95/0.85 tff(221,plain,
% 0.95/0.85 (![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(222,plain,
% 0.95/0.85 (^[U: $i] : 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) | c2_1(U) | c0_1(U) | (~c1_1(U)))), (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp9) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp9))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp9) <=> (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp9) <=> (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))))),
% 0.95/0.85 inference(bind,[status(th)],[])).
% 0.95/0.85 tff(223,plain,
% 0.95/0.85 (![U: $i] : (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp9) <=> ![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 0.95/0.85 inference(quant_intro,[status(thm)],[222])).
% 0.95/0.85 tff(224,axiom,(![U: $i] : (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause136')).
% 0.95/0.85 tff(225,plain,
% 0.95/0.85 (![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[224, 223])).
% 0.95/0.85 tff(226,plain,
% 0.95/0.85 (![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[225, 221])).
% 0.95/0.85 tff(227,plain,(
% 0.95/0.85 ![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 0.95/0.85 inference(skolemize,[status(sab)],[226])).
% 0.95/0.85 tff(228,plain,
% 0.95/0.85 (![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[227, 220])).
% 0.95/0.85 tff(229,plain,
% 0.95/0.85 (((~hskp14) | c1_1(a287)) <=> ((~hskp14) | c1_1(a287))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(230,axiom,((~hskp14) | c1_1(a287)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause70')).
% 0.95/0.85 tff(231,plain,
% 0.95/0.85 ((~hskp14) | c1_1(a287)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[230, 229])).
% 0.95/0.85 tff(232,plain,
% 0.95/0.85 ((~hskp14) | c1_1(a287)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[231, 229])).
% 0.95/0.85 tff(233,plain,
% 0.95/0.85 ((~hskp14) | c1_1(a287)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[232, 229])).
% 0.95/0.85 tff(234,plain,
% 0.95/0.85 ((~hskp14) | c1_1(a287)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[233, 229])).
% 0.95/0.85 tff(235,plain,
% 0.95/0.85 ((~hskp14) | c1_1(a287)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[234, 229])).
% 0.95/0.85 tff(236,plain,
% 0.95/0.85 ((~hskp14) | c1_1(a287)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[235, 229])).
% 0.95/0.85 tff(237,plain,
% 0.95/0.85 ((~hskp14) | c1_1(a287)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[236, 229])).
% 0.95/0.85 tff(238,plain,
% 0.95/0.85 ((~hskp14) | c1_1(a287)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[237, 229])).
% 0.95/0.85 tff(239,plain,
% 0.95/0.85 (c1_1(a287)),
% 0.95/0.85 inference(unit_resolution,[status(thm)],[238, 189])).
% 0.95/0.85 tff(240,plain,
% 0.95/0.85 (((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)))) <=> ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp9 | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(241,plain,
% 0.95/0.85 ((hskp9 | (~ndr1_0) | c2_1(a287) | c0_1(a287) | (~c1_1(a287))) <=> (hskp9 | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(242,plain,
% 0.95/0.85 (((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | (~ndr1_0) | c2_1(a287) | c0_1(a287) | (~c1_1(a287)))) <=> ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287))))),
% 0.95/0.85 inference(monotonicity,[status(thm)],[241])).
% 0.95/0.85 tff(243,plain,
% 0.95/0.85 (((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | (~ndr1_0) | c2_1(a287) | c0_1(a287) | (~c1_1(a287)))) <=> ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp9 | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)))),
% 0.95/0.85 inference(transitivity,[status(thm)],[242, 240])).
% 0.95/0.85 tff(244,plain,
% 0.95/0.85 ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | (~ndr1_0) | c2_1(a287) | c0_1(a287) | (~c1_1(a287)))),
% 0.95/0.85 inference(quant_inst,[status(thm)],[])).
% 0.95/0.85 tff(245,plain,
% 0.95/0.85 ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp9 | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[244, 243])).
% 0.95/0.85 tff(246,plain,
% 0.95/0.85 (hskp9),
% 0.95/0.85 inference(unit_resolution,[status(thm)],[245, 154, 239, 201, 195, 228])).
% 0.95/0.85 tff(247,plain,
% 0.95/0.85 (((~hskp9) | (~c1_1(a280))) <=> ((~hskp9) | (~c1_1(a280)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(248,plain,
% 0.95/0.85 (((~c1_1(a280)) | (~hskp9)) <=> ((~hskp9) | (~c1_1(a280)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(249,axiom,((~c1_1(a280)) | (~hskp9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause117')).
% 0.95/0.85 tff(250,plain,
% 0.95/0.85 ((~hskp9) | (~c1_1(a280))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[249, 248])).
% 0.95/0.85 tff(251,plain,
% 0.95/0.85 ((~hskp9) | (~c1_1(a280))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[250, 247])).
% 0.95/0.85 tff(252,plain,
% 0.95/0.85 (~c1_1(a280)),
% 0.95/0.85 inference(unit_resolution,[status(thm)],[251, 246])).
% 0.95/0.85 tff(253,plain,
% 0.95/0.85 (((~hskp9) | c3_1(a280)) <=> ((~hskp9) | c3_1(a280))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(254,axiom,((~hskp9) | c3_1(a280)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause77')).
% 0.95/0.85 tff(255,plain,
% 0.95/0.85 ((~hskp9) | c3_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[254, 253])).
% 0.95/0.85 tff(256,plain,
% 0.95/0.85 ((~hskp9) | c3_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[255, 253])).
% 0.95/0.85 tff(257,plain,
% 0.95/0.85 ((~hskp9) | c3_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[256, 253])).
% 0.95/0.85 tff(258,plain,
% 0.95/0.85 ((~hskp9) | c3_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[257, 253])).
% 0.95/0.85 tff(259,plain,
% 0.95/0.85 ((~hskp9) | c3_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[258, 253])).
% 0.95/0.85 tff(260,plain,
% 0.95/0.85 ((~hskp9) | c3_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[259, 253])).
% 0.95/0.85 tff(261,plain,
% 0.95/0.85 ((~hskp9) | c3_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[260, 253])).
% 0.95/0.85 tff(262,plain,
% 0.95/0.85 ((~hskp9) | c3_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[261, 253])).
% 0.95/0.85 tff(263,plain,
% 0.95/0.85 (c3_1(a280)),
% 0.95/0.85 inference(unit_resolution,[status(thm)],[262, 246])).
% 0.95/0.85 tff(264,plain,
% 0.95/0.85 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | c0_1(a287) | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a287)) | (~c3_1(a287)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a287) | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a287)) | (~c3_1(a287)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(265,plain,
% 0.95/0.85 ((hskp16 | (~ndr1_0) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287))) <=> (hskp16 | c0_1(a287) | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a287)) | (~c3_1(a287)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(266,plain,
% 0.95/0.85 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | c0_1(a287) | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a287)) | (~c3_1(a287))))),
% 0.95/0.85 inference(monotonicity,[status(thm)],[265])).
% 0.95/0.85 tff(267,plain,
% 0.95/0.85 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a287) | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a287)) | (~c3_1(a287)))),
% 0.95/0.85 inference(transitivity,[status(thm)],[266, 264])).
% 0.95/0.85 tff(268,plain,
% 0.95/0.85 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)))),
% 0.95/0.85 inference(quant_inst,[status(thm)],[])).
% 0.95/0.85 tff(269,plain,
% 0.95/0.85 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a287) | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a287)) | (~c3_1(a287))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[268, 267])).
% 0.95/0.85 tff(270,plain,
% 0.95/0.85 (~c0_1(a280)),
% 0.95/0.85 inference(unit_resolution,[status(thm)],[269, 154, 43, 239, 263, 201, 252, 218, 208])).
% 0.95/0.85 tff(271,plain,
% 0.95/0.85 (^[V: $i, U: $i] : refl((hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) <=> (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))))),
% 0.95/0.85 inference(bind,[status(th)],[])).
% 0.95/0.85 tff(272,plain,
% 0.95/0.85 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.95/0.85 inference(quant_intro,[status(thm)],[271])).
% 0.95/0.85 tff(273,plain,
% 0.95/0.85 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(274,plain,
% 0.95/0.85 (^[V: $i, U: $i] : 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)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c3_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(V)))), ((((~c3_1(U)) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c2_1(V))))), (((((~c3_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c2_1(V))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c2_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(V)))), (((((~c3_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(V))))), ((((((~c3_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c1_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c2_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | (~c2_1(V)))), ((((((~c3_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | (~c2_1(V))))), (((((((~c3_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c1_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c0_1(V) | (~c2_1(V)))), (((((((~c3_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c1_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c0_1(V) | (~c2_1(V))))), ((((((((~c3_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c1_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c0_1(V) | (~c2_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c0_1(V) | (~c2_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))), ((((((((~c3_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c1_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))))), (((((((((~c3_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c1_1(U)) | c0_1(V)) | c1_1(V)) | hskp3) <=> (((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) | hskp3))), rewrite((((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) | hskp3) <=> (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))), (((((((((~c3_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c1_1(U)) | c0_1(V)) | c1_1(V)) | hskp3) <=> (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))))),
% 0.95/0.85 inference(bind,[status(th)],[])).
% 0.95/0.85 tff(275,plain,
% 0.95/0.85 (![V: $i, U: $i] : ((((((((~c3_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c1_1(U)) | c0_1(V)) | c1_1(V)) | hskp3) <=> ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.95/0.85 inference(quant_intro,[status(thm)],[274])).
% 0.95/0.85 tff(276,axiom,(![V: $i, U: $i] : ((((((((~c3_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c1_1(U)) | c0_1(V)) | c1_1(V)) | hskp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause159')).
% 0.95/0.85 tff(277,plain,
% 0.95/0.85 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[276, 275])).
% 0.95/0.85 tff(278,plain,
% 0.95/0.85 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[277, 273])).
% 0.95/0.85 tff(279,plain,(
% 0.95/0.85 ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.95/0.85 inference(skolemize,[status(sab)],[278])).
% 0.95/0.85 tff(280,plain,
% 0.95/0.85 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[279, 272])).
% 0.95/0.85 tff(281,plain,
% 0.95/0.85 (((~hskp9) | c2_1(a280)) <=> ((~hskp9) | c2_1(a280))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(282,axiom,((~hskp9) | c2_1(a280)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause76')).
% 0.95/0.85 tff(283,plain,
% 0.95/0.85 ((~hskp9) | c2_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[282, 281])).
% 0.95/0.85 tff(284,plain,
% 0.95/0.85 ((~hskp9) | c2_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[283, 281])).
% 0.95/0.85 tff(285,plain,
% 0.95/0.85 ((~hskp9) | c2_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[284, 281])).
% 0.95/0.85 tff(286,plain,
% 0.95/0.85 ((~hskp9) | c2_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[285, 281])).
% 0.95/0.85 tff(287,plain,
% 0.95/0.85 ((~hskp9) | c2_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[286, 281])).
% 0.95/0.85 tff(288,plain,
% 0.95/0.85 ((~hskp9) | c2_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[287, 281])).
% 0.95/0.85 tff(289,plain,
% 0.95/0.85 ((~hskp9) | c2_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[288, 281])).
% 0.95/0.85 tff(290,plain,
% 0.95/0.85 ((~hskp9) | c2_1(a280)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[289, 281])).
% 0.95/0.85 tff(291,plain,
% 0.95/0.85 (c2_1(a280)),
% 0.95/0.85 inference(unit_resolution,[status(thm)],[290, 246])).
% 0.95/0.85 tff(292,plain,
% 0.95/0.85 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp3 | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp3 | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(293,plain,
% 0.95/0.85 ((hskp3 | (~ndr1_0) | c1_1(a280) | c0_1(a280) | (~c3_1(a280)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280))) <=> (hskp3 | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(294,plain,
% 0.95/0.85 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp3 | (~ndr1_0) | c1_1(a280) | c0_1(a280) | (~c3_1(a280)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp3 | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c3_1(a280))))),
% 0.95/0.85 inference(monotonicity,[status(thm)],[293])).
% 0.95/0.85 tff(295,plain,
% 0.95/0.85 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp3 | (~ndr1_0) | c1_1(a280) | c0_1(a280) | (~c3_1(a280)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp3 | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))),
% 0.95/0.85 inference(transitivity,[status(thm)],[294, 292])).
% 0.95/0.85 tff(296,plain,
% 0.95/0.85 ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp3 | (~ndr1_0) | c1_1(a280) | c0_1(a280) | (~c3_1(a280)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))),
% 0.95/0.85 inference(quant_inst,[status(thm)],[])).
% 0.95/0.85 tff(297,plain,
% 0.95/0.85 ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp3 | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c3_1(a280))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[296, 295])).
% 0.95/0.85 tff(298,plain,
% 0.95/0.85 (hskp3),
% 0.95/0.85 inference(unit_resolution,[status(thm)],[297, 154, 291, 263, 252, 280, 270])).
% 0.95/0.85 tff(299,plain,
% 0.95/0.85 (((~hskp3) | (~c2_1(a270))) <=> ((~hskp3) | (~c2_1(a270)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(300,plain,
% 0.95/0.85 (((~c2_1(a270)) | (~hskp3)) <=> ((~hskp3) | (~c2_1(a270)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(301,axiom,((~c2_1(a270)) | (~hskp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause128')).
% 0.95/0.85 tff(302,plain,
% 0.95/0.85 ((~hskp3) | (~c2_1(a270))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[301, 300])).
% 0.95/0.85 tff(303,plain,
% 0.95/0.85 ((~hskp3) | (~c2_1(a270))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[302, 299])).
% 0.95/0.85 tff(304,plain,
% 0.95/0.85 (~c2_1(a270)),
% 0.95/0.85 inference(unit_resolution,[status(thm)],[303, 298])).
% 0.95/0.85 tff(305,plain,
% 0.95/0.85 (((~hskp3) | c3_1(a270)) <=> ((~hskp3) | c3_1(a270))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(306,axiom,((~hskp3) | c3_1(a270)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause84')).
% 0.95/0.85 tff(307,plain,
% 0.95/0.85 ((~hskp3) | c3_1(a270)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[306, 305])).
% 0.95/0.85 tff(308,plain,
% 0.95/0.85 ((~hskp3) | c3_1(a270)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[307, 305])).
% 0.95/0.85 tff(309,plain,
% 0.95/0.85 ((~hskp3) | c3_1(a270)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[308, 305])).
% 0.95/0.85 tff(310,plain,
% 0.95/0.85 ((~hskp3) | c3_1(a270)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[309, 305])).
% 0.95/0.85 tff(311,plain,
% 0.95/0.85 ((~hskp3) | c3_1(a270)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[310, 305])).
% 0.95/0.85 tff(312,plain,
% 0.95/0.85 ((~hskp3) | c3_1(a270)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[311, 305])).
% 0.95/0.85 tff(313,plain,
% 0.95/0.85 ((~hskp3) | c3_1(a270)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[312, 305])).
% 0.95/0.85 tff(314,plain,
% 0.95/0.85 ((~hskp3) | c3_1(a270)),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[313, 305])).
% 0.95/0.85 tff(315,plain,
% 0.95/0.85 (c3_1(a270)),
% 0.95/0.85 inference(unit_resolution,[status(thm)],[314, 298])).
% 0.95/0.85 tff(316,plain,
% 0.95/0.85 (((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c3_1(a270)))) <=> ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp8 | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c3_1(a270)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(317,plain,
% 0.95/0.85 ((hskp8 | (~ndr1_0) | c2_1(a270) | c1_1(a270) | (~c3_1(a270))) <=> (hskp8 | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c3_1(a270)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(318,plain,
% 0.95/0.85 (((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | (~ndr1_0) | c2_1(a270) | c1_1(a270) | (~c3_1(a270)))) <=> ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c3_1(a270))))),
% 0.95/0.85 inference(monotonicity,[status(thm)],[317])).
% 0.95/0.85 tff(319,plain,
% 0.95/0.85 (((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | (~ndr1_0) | c2_1(a270) | c1_1(a270) | (~c3_1(a270)))) <=> ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp8 | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c3_1(a270)))),
% 0.95/0.85 inference(transitivity,[status(thm)],[318, 316])).
% 0.95/0.85 tff(320,plain,
% 0.95/0.85 ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | (~ndr1_0) | c2_1(a270) | c1_1(a270) | (~c3_1(a270)))),
% 0.95/0.85 inference(quant_inst,[status(thm)],[])).
% 0.95/0.85 tff(321,plain,
% 0.95/0.85 ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp8 | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c3_1(a270))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[320, 319])).
% 0.95/0.85 tff(322,plain,
% 0.95/0.85 (c1_1(a270)),
% 0.95/0.85 inference(unit_resolution,[status(thm)],[321, 154, 32, 315, 304, 113])).
% 0.95/0.85 tff(323,plain,
% 0.95/0.85 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))))),
% 0.95/0.85 inference(bind,[status(th)],[])).
% 0.95/0.85 tff(324,plain,
% 0.95/0.85 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 0.95/0.85 inference(quant_intro,[status(thm)],[323])).
% 0.95/0.85 tff(325,plain,
% 0.95/0.85 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(326,plain,
% 0.95/0.85 (^[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))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | (~c2_1(W))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | 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) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c2_1(U)) | c0_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c2_1(W)))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c2_1(U)) | c0_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c2_1(W))))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(U) | (~c1_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) | c2_1(U) | (~c1_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)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))))),
% 0.95/0.85 inference(bind,[status(th)],[])).
% 0.95/0.85 tff(327,plain,
% 0.95/0.85 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 0.95/0.85 inference(quant_intro,[status(thm)],[326])).
% 0.95/0.85 tff(328,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause179')).
% 0.95/0.85 tff(329,plain,
% 0.95/0.85 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[328, 327])).
% 0.95/0.85 tff(330,plain,
% 0.95/0.85 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[329, 325])).
% 0.95/0.85 tff(331,plain,(
% 0.95/0.85 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 0.95/0.85 inference(skolemize,[status(sab)],[330])).
% 0.95/0.85 tff(332,plain,
% 0.95/0.85 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 0.95/0.85 inference(modus_ponens,[status(thm)],[331, 324])).
% 0.95/0.85 tff(333,plain,
% 0.95/0.85 (^[V: $i, U: $i] : refl((hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))) <=> (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))))),
% 0.95/0.85 inference(bind,[status(th)],[])).
% 0.95/0.85 tff(334,plain,
% 0.95/0.85 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.95/0.85 inference(quant_intro,[status(thm)],[333])).
% 0.95/0.85 tff(335,plain,
% 0.95/0.85 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.95/0.85 inference(rewrite,[status(thm)],[])).
% 0.95/0.85 tff(336,plain,
% 0.95/0.85 (^[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) | (~c1_1(U)) | (~c3_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c3_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c3_1(V)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c3_1(V))))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c3_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | (~c3_1(V)))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | (~c3_1(V))))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | (~c3_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | (~c3_1(V)))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | (~c3_1(V))))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | (~c3_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | (~c3_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) | c2_1(V)) | hskp11) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))) | hskp11))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))) | hskp11) <=> (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) | c2_1(V)) | hskp11) <=> (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))))),
% 0.95/0.85 inference(bind,[status(th)],[])).
% 0.95/0.85 tff(337,plain,
% 0.95/0.85 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) | c2_1(V)) | hskp11) <=> ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.95/0.85 inference(quant_intro,[status(thm)],[336])).
% 0.95/0.85 tff(338,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) | c2_1(V)) | hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause164')).
% 0.95/0.85 tff(339,plain,
% 0.95/0.85 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[338, 337])).
% 0.95/0.86 tff(340,plain,
% 0.95/0.86 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[339, 335])).
% 0.95/0.86 tff(341,plain,(
% 0.95/0.86 ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.95/0.86 inference(skolemize,[status(sab)],[340])).
% 0.95/0.86 tff(342,plain,
% 0.95/0.86 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[341, 334])).
% 0.95/0.86 tff(343,plain,
% 0.95/0.86 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(344,plain,
% 0.95/0.86 ((hskp11 | (~ndr1_0) | c2_1(a287) | (~c1_1(a287)) | (~c3_1(a287)) | c0_1(a287) | c2_1(a287) | (~c3_1(a287))) <=> (hskp11 | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(345,plain,
% 0.95/0.86 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a287) | (~c1_1(a287)) | (~c3_1(a287)) | c0_1(a287) | c2_1(a287) | (~c3_1(a287)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287))))),
% 0.95/0.86 inference(monotonicity,[status(thm)],[344])).
% 0.95/0.86 tff(346,plain,
% 0.95/0.86 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a287) | (~c1_1(a287)) | (~c3_1(a287)) | c0_1(a287) | c2_1(a287) | (~c3_1(a287)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)))),
% 0.95/0.86 inference(transitivity,[status(thm)],[345, 343])).
% 0.95/0.86 tff(347,plain,
% 0.95/0.86 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a287) | (~c1_1(a287)) | (~c3_1(a287)) | c0_1(a287) | c2_1(a287) | (~c3_1(a287)))),
% 0.95/0.86 inference(quant_inst,[status(thm)],[])).
% 0.95/0.86 tff(348,plain,
% 0.95/0.86 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[347, 346])).
% 0.95/0.86 tff(349,plain,
% 0.95/0.86 (hskp11 | (~c3_1(a287))),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[348, 154, 239, 201, 195, 342])).
% 0.95/0.86 tff(350,plain,
% 0.95/0.86 (hskp11),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[349, 208])).
% 0.95/0.86 tff(351,plain,
% 0.95/0.86 (((~hskp11) | (~c1_1(a282))) <=> ((~hskp11) | (~c1_1(a282)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(352,plain,
% 0.95/0.86 (((~c1_1(a282)) | (~hskp11)) <=> ((~hskp11) | (~c1_1(a282)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(353,axiom,((~c1_1(a282)) | (~hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause114')).
% 0.95/0.86 tff(354,plain,
% 0.95/0.86 ((~hskp11) | (~c1_1(a282))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[353, 352])).
% 0.95/0.86 tff(355,plain,
% 0.95/0.86 ((~hskp11) | (~c1_1(a282))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[354, 351])).
% 0.95/0.86 tff(356,plain,
% 0.95/0.86 (~c1_1(a282)),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[355, 350])).
% 0.95/0.86 tff(357,plain,
% 0.95/0.86 (((~hskp11) | (~c0_1(a282))) <=> ((~hskp11) | (~c0_1(a282)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(358,plain,
% 0.95/0.86 (((~c0_1(a282)) | (~hskp11)) <=> ((~hskp11) | (~c0_1(a282)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(359,axiom,((~c0_1(a282)) | (~hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause113')).
% 0.95/0.86 tff(360,plain,
% 0.95/0.86 ((~hskp11) | (~c0_1(a282))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[359, 358])).
% 0.95/0.86 tff(361,plain,
% 0.95/0.86 ((~hskp11) | (~c0_1(a282))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[360, 357])).
% 0.95/0.86 tff(362,plain,
% 0.95/0.86 (~c0_1(a282)),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[361, 350])).
% 0.95/0.86 tff(363,plain,
% 0.95/0.86 (((~hskp3) | c0_1(a270)) <=> ((~hskp3) | c0_1(a270))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(364,axiom,((~hskp3) | c0_1(a270)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause83')).
% 0.95/0.86 tff(365,plain,
% 0.95/0.86 ((~hskp3) | c0_1(a270)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[364, 363])).
% 0.95/0.86 tff(366,plain,
% 0.95/0.86 ((~hskp3) | c0_1(a270)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[365, 363])).
% 0.95/0.86 tff(367,plain,
% 0.95/0.86 ((~hskp3) | c0_1(a270)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[366, 363])).
% 0.95/0.86 tff(368,plain,
% 0.95/0.86 ((~hskp3) | c0_1(a270)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[367, 363])).
% 0.95/0.86 tff(369,plain,
% 0.95/0.86 ((~hskp3) | c0_1(a270)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[368, 363])).
% 0.95/0.86 tff(370,plain,
% 0.95/0.86 ((~hskp3) | c0_1(a270)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[369, 363])).
% 0.95/0.86 tff(371,plain,
% 0.95/0.86 ((~hskp3) | c0_1(a270)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[370, 363])).
% 0.95/0.86 tff(372,plain,
% 0.95/0.86 ((~hskp3) | c0_1(a270)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[371, 363])).
% 0.95/0.86 tff(373,plain,
% 0.95/0.86 (c0_1(a270)),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[372, 298])).
% 0.95/0.86 tff(374,plain,
% 0.95/0.86 (((~hskp11) | c2_1(a282)) <=> ((~hskp11) | c2_1(a282))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(375,axiom,((~hskp11) | c2_1(a282)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause74')).
% 0.95/0.86 tff(376,plain,
% 0.95/0.86 ((~hskp11) | c2_1(a282)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[375, 374])).
% 0.95/0.86 tff(377,plain,
% 0.95/0.86 ((~hskp11) | c2_1(a282)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[376, 374])).
% 0.95/0.86 tff(378,plain,
% 0.95/0.86 ((~hskp11) | c2_1(a282)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[377, 374])).
% 0.95/0.86 tff(379,plain,
% 0.95/0.86 ((~hskp11) | c2_1(a282)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[378, 374])).
% 0.95/0.86 tff(380,plain,
% 0.95/0.86 ((~hskp11) | c2_1(a282)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[379, 374])).
% 0.95/0.86 tff(381,plain,
% 0.95/0.86 ((~hskp11) | c2_1(a282)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[380, 374])).
% 0.95/0.86 tff(382,plain,
% 0.95/0.86 ((~hskp11) | c2_1(a282)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[381, 374])).
% 0.95/0.86 tff(383,plain,
% 0.95/0.86 ((~hskp11) | c2_1(a282)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[382, 374])).
% 0.95/0.86 tff(384,plain,
% 0.95/0.86 (c2_1(a282)),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[383, 350])).
% 0.95/0.86 tff(385,plain,
% 0.95/0.86 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a287) | c0_1(a282) | c1_1(a282) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a282)) | (~c1_1(a287)) | (~c3_1(a287)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a287) | c0_1(a282) | c1_1(a282) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a282)) | (~c1_1(a287)) | (~c3_1(a287)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(386,plain,
% 0.95/0.86 (((~ndr1_0) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c1_1(a282) | c0_1(a282) | (~c2_1(a282))) <=> (c0_1(a287) | c0_1(a282) | c1_1(a282) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a282)) | (~c1_1(a287)) | (~c3_1(a287)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(387,plain,
% 0.95/0.86 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c1_1(a282) | c0_1(a282) | (~c2_1(a282)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a287) | c0_1(a282) | c1_1(a282) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a282)) | (~c1_1(a287)) | (~c3_1(a287))))),
% 0.95/0.86 inference(monotonicity,[status(thm)],[386])).
% 0.95/0.86 tff(388,plain,
% 0.95/0.86 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c1_1(a282) | c0_1(a282) | (~c2_1(a282)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a287) | c0_1(a282) | c1_1(a282) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a282)) | (~c1_1(a287)) | (~c3_1(a287)))),
% 0.95/0.86 inference(transitivity,[status(thm)],[387, 385])).
% 0.95/0.86 tff(389,plain,
% 0.95/0.86 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c1_1(a282) | c0_1(a282) | (~c2_1(a282)))),
% 0.95/0.86 inference(quant_inst,[status(thm)],[])).
% 0.95/0.86 tff(390,plain,
% 0.95/0.86 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a287) | c0_1(a282) | c1_1(a282) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a282)) | (~c1_1(a287)) | (~c3_1(a287))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[389, 388])).
% 0.95/0.86 tff(391,plain,
% 0.95/0.86 ($false),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[390, 154, 239, 384, 373, 201, 362, 356, 304, 332, 208, 322])).
% 0.95/0.86 tff(392,plain,(hskp8 | hskp16 | hskp2 | c0_1(a271) | c1_1(a271) | c3_1(a271)), inference(lemma,lemma(discharge,[]))).
% 0.95/0.86 tff(393,plain,
% 0.95/0.86 (hskp8),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[392, 103, 54, 43, 97, 91])).
% 0.95/0.86 tff(394,plain,
% 0.95/0.86 (((~hskp8) | (~c3_1(a275))) <=> ((~hskp8) | (~c3_1(a275)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(395,plain,
% 0.95/0.86 (((~c3_1(a275)) | (~hskp8)) <=> ((~hskp8) | (~c3_1(a275)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(396,axiom,((~c3_1(a275)) | (~hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause120')).
% 0.95/0.86 tff(397,plain,
% 0.95/0.86 ((~hskp8) | (~c3_1(a275))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[396, 395])).
% 0.95/0.86 tff(398,plain,
% 0.95/0.86 ((~hskp8) | (~c3_1(a275))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[397, 394])).
% 0.95/0.86 tff(399,plain,
% 0.95/0.86 (~c3_1(a275)),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[398, 393])).
% 0.95/0.86 tff(400,plain,
% 0.95/0.86 (((~hskp8) | (~c2_1(a275))) <=> ((~hskp8) | (~c2_1(a275)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(401,plain,
% 0.95/0.86 (((~c2_1(a275)) | (~hskp8)) <=> ((~hskp8) | (~c2_1(a275)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(402,axiom,((~c2_1(a275)) | (~hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause119')).
% 0.95/0.86 tff(403,plain,
% 0.95/0.86 ((~hskp8) | (~c2_1(a275))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[402, 401])).
% 0.95/0.86 tff(404,plain,
% 0.95/0.86 ((~hskp8) | (~c2_1(a275))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[403, 400])).
% 0.95/0.86 tff(405,plain,
% 0.95/0.86 (~c2_1(a275)),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[404, 393])).
% 0.95/0.86 tff(406,plain,
% 0.95/0.86 (((~hskp8) | (~c0_1(a275))) <=> ((~hskp8) | (~c0_1(a275)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(407,plain,
% 0.95/0.86 (((~c0_1(a275)) | (~hskp8)) <=> ((~hskp8) | (~c0_1(a275)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(408,axiom,((~c0_1(a275)) | (~hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause118')).
% 0.95/0.86 tff(409,plain,
% 0.95/0.86 ((~hskp8) | (~c0_1(a275))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[408, 407])).
% 0.95/0.86 tff(410,plain,
% 0.95/0.86 ((~hskp8) | (~c0_1(a275))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[409, 406])).
% 0.95/0.86 tff(411,plain,
% 0.95/0.86 (~c0_1(a275)),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[410, 393])).
% 0.95/0.86 tff(412,plain,
% 0.95/0.86 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | c0_1(a275) | c2_1(a275) | c3_1(a275) | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a275) | c2_1(a275) | c3_1(a275) | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(413,plain,
% 0.95/0.86 ((hskp2 | (~ndr1_0) | c2_1(a275) | c0_1(a275) | c3_1(a275) | c3_1(a271) | c1_1(a271) | c0_1(a271)) <=> (hskp2 | c0_1(a275) | c2_1(a275) | c3_1(a275) | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(414,plain,
% 0.95/0.86 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a275) | c0_1(a275) | c3_1(a275) | c3_1(a271) | c1_1(a271) | c0_1(a271))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | c0_1(a275) | c2_1(a275) | c3_1(a275) | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0)))),
% 0.95/0.86 inference(monotonicity,[status(thm)],[413])).
% 0.95/0.86 tff(415,plain,
% 0.95/0.86 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a275) | c0_1(a275) | c3_1(a275) | c3_1(a271) | c1_1(a271) | c0_1(a271))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a275) | c2_1(a275) | c3_1(a275) | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0))),
% 0.95/0.86 inference(transitivity,[status(thm)],[414, 412])).
% 0.95/0.86 tff(416,plain,
% 0.95/0.86 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a275) | c0_1(a275) | c3_1(a275) | c3_1(a271) | c1_1(a271) | c0_1(a271))),
% 0.95/0.86 inference(quant_inst,[status(thm)],[])).
% 0.95/0.86 tff(417,plain,
% 0.95/0.86 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a275) | c2_1(a275) | c3_1(a275) | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~ndr1_0)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[416, 415])).
% 0.95/0.86 tff(418,plain,
% 0.95/0.86 ($false),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[417, 154, 54, 411, 405, 399, 103, 97, 91, 10])).
% 0.95/0.86 tff(419,plain,((~hskp4) | hskp2 | hskp16), inference(lemma,lemma(discharge,[]))).
% 0.95/0.86 tff(420,plain,
% 0.95/0.86 (~hskp4),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[419, 54, 43])).
% 0.95/0.86 tff(421,plain,
% 0.95/0.86 (((~hskp7) | c0_1(a274)) <=> ((~hskp7) | c0_1(a274))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(422,axiom,((~hskp7) | c0_1(a274)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause78')).
% 0.95/0.86 tff(423,plain,
% 0.95/0.86 ((~hskp7) | c0_1(a274)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[422, 421])).
% 0.95/0.86 tff(424,plain,
% 0.95/0.86 ((~hskp7) | c0_1(a274)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[423, 421])).
% 0.95/0.86 tff(425,plain,
% 0.95/0.86 ((~hskp7) | c0_1(a274)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[424, 421])).
% 0.95/0.86 tff(426,plain,
% 0.95/0.86 ((~hskp7) | c0_1(a274)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[425, 421])).
% 0.95/0.86 tff(427,plain,
% 0.95/0.86 ((~hskp7) | c0_1(a274)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[426, 421])).
% 0.95/0.86 tff(428,plain,
% 0.95/0.86 ((~hskp7) | c0_1(a274)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[427, 421])).
% 0.95/0.86 tff(429,plain,
% 0.95/0.86 ((~hskp7) | c0_1(a274)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[428, 421])).
% 0.95/0.86 tff(430,plain,
% 0.95/0.86 ((~hskp7) | c0_1(a274)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[429, 421])).
% 0.95/0.86 tff(431,plain,
% 0.95/0.86 (c0_1(a274)),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[430, 67])).
% 0.95/0.86 tff(432,plain,
% 0.95/0.86 (^[U: $i] : refl((hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U))) <=> (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U))))),
% 0.95/0.86 inference(bind,[status(th)],[])).
% 0.95/0.86 tff(433,plain,
% 0.95/0.86 (![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U))) <=> ![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))),
% 0.95/0.86 inference(quant_intro,[status(thm)],[432])).
% 0.95/0.86 tff(434,plain,
% 0.95/0.86 (![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U))) <=> ![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(435,plain,
% 0.95/0.86 (^[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)) | 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) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp28) <=> (((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U))) | hskp28))), rewrite((((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U))) | hskp28) <=> (hskp28 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp28) <=> (hskp28 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp28) | hskp23) <=> ((hskp28 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U))) | hskp23))), rewrite(((hskp28 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U))) | hskp23) <=> (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp28) | hskp23) <=> (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))))),
% 0.95/0.86 inference(bind,[status(th)],[])).
% 0.95/0.86 tff(436,plain,
% 0.95/0.86 (![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp28) | hskp23) <=> ![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))),
% 0.95/0.86 inference(quant_intro,[status(thm)],[435])).
% 0.95/0.86 tff(437,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp28) | hskp23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause151')).
% 0.95/0.86 tff(438,plain,
% 0.95/0.86 (![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[437, 436])).
% 0.95/0.86 tff(439,plain,
% 0.95/0.86 (![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[438, 434])).
% 0.95/0.86 tff(440,plain,(
% 0.95/0.86 ![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))),
% 0.95/0.86 inference(skolemize,[status(sab)],[439])).
% 0.95/0.86 tff(441,plain,
% 0.95/0.86 (![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[440, 433])).
% 0.95/0.86 tff(442,assumption,(~c3_1(a274)), introduced(assumption)).
% 0.95/0.86 tff(443,assumption,(c1_1(a274)), introduced(assumption)).
% 0.95/0.86 tff(444,assumption,(c0_1(a274)), introduced(assumption)).
% 0.95/0.86 tff(445,plain,
% 0.95/0.86 (((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp28 | hskp23 | c3_1(a274) | (~ndr1_0) | (~c0_1(a274)) | (~c1_1(a274)))) <=> ((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | hskp28 | hskp23 | c3_1(a274) | (~ndr1_0) | (~c0_1(a274)) | (~c1_1(a274)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(446,plain,
% 0.95/0.86 ((hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c0_1(a274))) <=> (hskp28 | hskp23 | c3_1(a274) | (~ndr1_0) | (~c0_1(a274)) | (~c1_1(a274)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(447,plain,
% 0.95/0.86 (((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c0_1(a274)))) <=> ((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp28 | hskp23 | c3_1(a274) | (~ndr1_0) | (~c0_1(a274)) | (~c1_1(a274))))),
% 0.95/0.86 inference(monotonicity,[status(thm)],[446])).
% 0.95/0.86 tff(448,plain,
% 0.95/0.86 (((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c0_1(a274)))) <=> ((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | hskp28 | hskp23 | c3_1(a274) | (~ndr1_0) | (~c0_1(a274)) | (~c1_1(a274)))),
% 0.95/0.86 inference(transitivity,[status(thm)],[447, 445])).
% 0.95/0.86 tff(449,plain,
% 0.95/0.86 ((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c0_1(a274)))),
% 0.95/0.86 inference(quant_inst,[status(thm)],[])).
% 0.95/0.86 tff(450,plain,
% 0.95/0.86 ((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | hskp28 | hskp23 | c3_1(a274) | (~ndr1_0) | (~c0_1(a274)) | (~c1_1(a274))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[449, 448])).
% 0.95/0.86 tff(451,plain,
% 0.95/0.86 (hskp28 | hskp23),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[450, 154, 444, 443, 442, 441])).
% 0.95/0.86 tff(452,plain,
% 0.95/0.86 (hskp28),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[451, 31])).
% 0.95/0.86 tff(453,plain,
% 0.95/0.86 (((~hskp28) | c1_1(a278)) <=> ((~hskp28) | c1_1(a278))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(454,axiom,((~hskp28) | c1_1(a278)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause49')).
% 0.95/0.86 tff(455,plain,
% 0.95/0.86 ((~hskp28) | c1_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[454, 453])).
% 0.95/0.86 tff(456,plain,
% 0.95/0.86 ((~hskp28) | c1_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[455, 453])).
% 0.95/0.86 tff(457,plain,
% 0.95/0.86 ((~hskp28) | c1_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[456, 453])).
% 0.95/0.86 tff(458,plain,
% 0.95/0.86 ((~hskp28) | c1_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[457, 453])).
% 0.95/0.86 tff(459,plain,
% 0.95/0.86 ((~hskp28) | c1_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[458, 453])).
% 0.95/0.86 tff(460,plain,
% 0.95/0.86 ((~hskp28) | c1_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[459, 453])).
% 0.95/0.86 tff(461,plain,
% 0.95/0.86 ((~hskp28) | c1_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[460, 453])).
% 0.95/0.86 tff(462,plain,
% 0.95/0.86 ((~hskp28) | c1_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[461, 453])).
% 0.95/0.86 tff(463,plain,
% 0.95/0.86 (c1_1(a278)),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[462, 452])).
% 0.95/0.86 tff(464,plain,
% 0.95/0.86 (((~hskp28) | c0_1(a278)) <=> ((~hskp28) | c0_1(a278))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(465,axiom,((~hskp28) | c0_1(a278)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause48')).
% 0.95/0.86 tff(466,plain,
% 0.95/0.86 ((~hskp28) | c0_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[465, 464])).
% 0.95/0.86 tff(467,plain,
% 0.95/0.86 ((~hskp28) | c0_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[466, 464])).
% 0.95/0.86 tff(468,plain,
% 0.95/0.86 ((~hskp28) | c0_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[467, 464])).
% 0.95/0.86 tff(469,plain,
% 0.95/0.86 ((~hskp28) | c0_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[468, 464])).
% 0.95/0.86 tff(470,plain,
% 0.95/0.86 ((~hskp28) | c0_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[469, 464])).
% 0.95/0.86 tff(471,plain,
% 0.95/0.86 ((~hskp28) | c0_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[470, 464])).
% 0.95/0.86 tff(472,plain,
% 0.95/0.86 ((~hskp28) | c0_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[471, 464])).
% 0.95/0.86 tff(473,plain,
% 0.95/0.86 ((~hskp28) | c0_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[472, 464])).
% 0.95/0.86 tff(474,plain,
% 0.95/0.86 (c0_1(a278)),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[473, 452])).
% 0.95/0.86 tff(475,plain,
% 0.95/0.86 (((~hskp28) | c3_1(a278)) <=> ((~hskp28) | c3_1(a278))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(476,axiom,((~hskp28) | c3_1(a278)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause50')).
% 0.95/0.86 tff(477,plain,
% 0.95/0.86 ((~hskp28) | c3_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[476, 475])).
% 0.95/0.86 tff(478,plain,
% 0.95/0.86 ((~hskp28) | c3_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[477, 475])).
% 0.95/0.86 tff(479,plain,
% 0.95/0.86 ((~hskp28) | c3_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[478, 475])).
% 0.95/0.86 tff(480,plain,
% 0.95/0.86 ((~hskp28) | c3_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[479, 475])).
% 0.95/0.86 tff(481,plain,
% 0.95/0.86 ((~hskp28) | c3_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[480, 475])).
% 0.95/0.86 tff(482,plain,
% 0.95/0.86 ((~hskp28) | c3_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[481, 475])).
% 0.95/0.86 tff(483,plain,
% 0.95/0.86 ((~hskp28) | c3_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[482, 475])).
% 0.95/0.86 tff(484,plain,
% 0.95/0.86 ((~hskp28) | c3_1(a278)),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[483, 475])).
% 0.95/0.86 tff(485,plain,
% 0.95/0.86 (c3_1(a278)),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[484, 452])).
% 0.95/0.86 tff(486,assumption,(~c2_1(a278)), introduced(assumption)).
% 0.95/0.86 tff(487,assumption,(c3_1(a278)), introduced(assumption)).
% 0.95/0.86 tff(488,assumption,(c1_1(a278)), introduced(assumption)).
% 0.95/0.86 tff(489,assumption,(c0_1(a278)), introduced(assumption)).
% 0.95/0.86 tff(490,plain,
% 0.95/0.86 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a278)) | c2_1(a278) | (~c3_1(a278)) | (~c0_1(a278)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | (~ndr1_0) | (~c1_1(a278)) | c2_1(a278) | (~c3_1(a278)) | (~c0_1(a278)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(491,plain,
% 0.95/0.86 ((hskp23 | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c2_1(a278) | (~c3_1(a278)) | (~c1_1(a278))) <=> (hskp23 | (~ndr1_0) | (~c1_1(a278)) | c2_1(a278) | (~c3_1(a278)) | (~c0_1(a278)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(492,plain,
% 0.95/0.86 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c2_1(a278) | (~c3_1(a278)) | (~c1_1(a278)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a278)) | c2_1(a278) | (~c3_1(a278)) | (~c0_1(a278))))),
% 0.95/0.86 inference(monotonicity,[status(thm)],[491])).
% 0.95/0.86 tff(493,plain,
% 0.95/0.86 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c2_1(a278) | (~c3_1(a278)) | (~c1_1(a278)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | (~ndr1_0) | (~c1_1(a278)) | c2_1(a278) | (~c3_1(a278)) | (~c0_1(a278)))),
% 0.95/0.86 inference(transitivity,[status(thm)],[492, 490])).
% 0.95/0.86 tff(494,plain,
% 0.95/0.86 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c2_1(a278) | (~c3_1(a278)) | (~c1_1(a278)))),
% 0.95/0.86 inference(quant_inst,[status(thm)],[])).
% 0.95/0.86 tff(495,plain,
% 0.95/0.86 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | (~ndr1_0) | (~c1_1(a278)) | c2_1(a278) | (~c3_1(a278)) | (~c0_1(a278))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[494, 493])).
% 0.95/0.86 tff(496,plain,
% 0.95/0.86 ($false),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[495, 154, 31, 489, 488, 487, 42, 486])).
% 0.95/0.86 tff(497,plain,(c2_1(a278) | hskp23 | (~c0_1(a278)) | (~c1_1(a278)) | (~c3_1(a278))), inference(lemma,lemma(discharge,[]))).
% 0.95/0.86 tff(498,plain,
% 0.95/0.86 (c2_1(a278)),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[497, 485, 474, 463, 31])).
% 0.95/0.86 tff(499,plain,
% 0.95/0.86 (^[U: $i] : refl((hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) <=> (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))))),
% 0.95/0.86 inference(bind,[status(th)],[])).
% 0.95/0.86 tff(500,plain,
% 0.95/0.86 (![U: $i] : (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))),
% 0.95/0.86 inference(quant_intro,[status(thm)],[499])).
% 0.95/0.86 tff(501,plain,
% 0.95/0.86 (![U: $i] : (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(502,plain,
% 0.95/0.86 (^[U: $i] : 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)) | hskp3) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | hskp3))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | hskp3) <=> (hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | hskp3) <=> (hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | hskp3) | hskp4) <=> ((hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | hskp4))), rewrite(((hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | hskp4) <=> (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | hskp3) | hskp4) <=> (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))))),
% 0.95/0.86 inference(bind,[status(th)],[])).
% 0.95/0.86 tff(503,plain,
% 0.95/0.86 (![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | hskp3) | hskp4) <=> ![U: $i] : (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))),
% 0.95/0.86 inference(quant_intro,[status(thm)],[502])).
% 0.95/0.86 tff(504,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | hskp3) | hskp4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause153')).
% 0.95/0.86 tff(505,plain,
% 0.95/0.86 (![U: $i] : (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[504, 503])).
% 0.95/0.86 tff(506,plain,
% 0.95/0.86 (![U: $i] : (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[505, 501])).
% 0.95/0.86 tff(507,plain,(
% 0.95/0.86 ![U: $i] : (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))),
% 0.95/0.86 inference(skolemize,[status(sab)],[506])).
% 0.95/0.86 tff(508,plain,
% 0.95/0.86 (![U: $i] : (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[507, 500])).
% 0.95/0.86 tff(509,assumption,(~hskp4), introduced(assumption)).
% 0.95/0.86 tff(510,plain,
% 0.95/0.86 (((~![U: $i] : (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))) | (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)))) <=> ((~![U: $i] : (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))) | hskp4 | hskp3 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(511,plain,
% 0.95/0.86 ((~![U: $i] : (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))) | (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)))),
% 0.95/0.86 inference(quant_inst,[status(thm)],[])).
% 0.95/0.86 tff(512,plain,
% 0.95/0.86 ((~![U: $i] : (hskp4 | hskp3 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)))) | hskp4 | hskp3 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278))),
% 0.95/0.86 inference(modus_ponens,[status(thm)],[511, 510])).
% 0.95/0.86 tff(513,plain,
% 0.95/0.86 (hskp3),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[512, 154, 509, 474, 463, 508, 498])).
% 0.95/0.86 tff(514,plain,
% 0.95/0.86 (~c2_1(a270)),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[303, 513])).
% 0.95/0.86 tff(515,plain,
% 0.95/0.86 (c3_1(a270)),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[314, 513])).
% 0.95/0.86 tff(516,plain,
% 0.95/0.86 (c1_1(a270)),
% 0.95/0.86 inference(unit_resolution,[status(thm)],[321, 154, 32, 515, 514, 113])).
% 0.95/0.86 tff(517,plain,
% 0.95/0.86 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(518,plain,
% 0.95/0.86 ((hskp23 | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c2_1(a270) | (~c3_1(a270)) | (~c1_1(a270))) <=> (hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)))),
% 0.95/0.86 inference(rewrite,[status(thm)],[])).
% 0.95/0.86 tff(519,plain,
% 0.95/0.86 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c2_1(a270) | (~c3_1(a270)) | (~c1_1(a270)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278))))),
% 0.95/0.87 inference(monotonicity,[status(thm)],[518])).
% 0.95/0.87 tff(520,plain,
% 0.95/0.87 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c2_1(a270) | (~c3_1(a270)) | (~c1_1(a270)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)))),
% 0.95/0.87 inference(transitivity,[status(thm)],[519, 517])).
% 0.95/0.87 tff(521,plain,
% 0.95/0.87 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c2_1(a270) | (~c3_1(a270)) | (~c1_1(a270)))),
% 0.95/0.87 inference(quant_inst,[status(thm)],[])).
% 0.95/0.87 tff(522,plain,
% 0.95/0.87 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278))),
% 0.95/0.87 inference(modus_ponens,[status(thm)],[521, 520])).
% 0.95/0.87 tff(523,plain,
% 0.95/0.87 ($false),
% 0.95/0.87 inference(unit_resolution,[status(thm)],[522, 154, 31, 474, 463, 485, 515, 514, 42, 516])).
% 0.95/0.87 tff(524,plain,(hskp23 | hskp8 | hskp4 | (~c0_1(a274)) | (~c1_1(a274)) | c3_1(a274)), inference(lemma,lemma(discharge,[]))).
% 0.95/0.87 tff(525,plain,
% 0.95/0.87 (hskp23),
% 0.95/0.87 inference(unit_resolution,[status(thm)],[524, 431, 32, 420, 84, 73])).
% 0.95/0.87 tff(526,plain,
% 0.95/0.87 (~c3_1(a313)),
% 0.95/0.87 inference(unit_resolution,[status(thm)],[16, 525])).
% 0.95/0.87 tff(527,plain,
% 0.95/0.87 (~c2_1(a313)),
% 0.95/0.87 inference(unit_resolution,[status(thm)],[22, 525])).
% 0.95/0.87 tff(528,plain,
% 0.95/0.87 (~c1_1(a313)),
% 0.95/0.87 inference(unit_resolution,[status(thm)],[28, 525])).
% 0.95/0.87 tff(529,plain,
% 0.95/0.87 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | c1_1(a313) | c2_1(a313) | c3_1(a313) | (~ndr1_0) | c0_1(a313))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c1_1(a313) | c2_1(a313) | c3_1(a313) | (~ndr1_0) | c0_1(a313))),
% 0.95/0.87 inference(rewrite,[status(thm)],[])).
% 0.95/0.87 tff(530,plain,
% 0.95/0.87 ((hskp2 | (~ndr1_0) | c2_1(a313) | c0_1(a313) | c3_1(a313) | c3_1(a313) | c1_1(a313) | c0_1(a313)) <=> (hskp2 | c1_1(a313) | c2_1(a313) | c3_1(a313) | (~ndr1_0) | c0_1(a313))),
% 0.95/0.87 inference(rewrite,[status(thm)],[])).
% 0.95/0.87 tff(531,plain,
% 0.95/0.87 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a313) | c0_1(a313) | c3_1(a313) | c3_1(a313) | c1_1(a313) | c0_1(a313))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | c1_1(a313) | c2_1(a313) | c3_1(a313) | (~ndr1_0) | c0_1(a313)))),
% 0.95/0.87 inference(monotonicity,[status(thm)],[530])).
% 0.95/0.87 tff(532,plain,
% 0.95/0.87 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a313) | c0_1(a313) | c3_1(a313) | c3_1(a313) | c1_1(a313) | c0_1(a313))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c1_1(a313) | c2_1(a313) | c3_1(a313) | (~ndr1_0) | c0_1(a313))),
% 0.95/0.87 inference(transitivity,[status(thm)],[531, 529])).
% 0.95/0.87 tff(533,plain,
% 0.95/0.87 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a313) | c0_1(a313) | c3_1(a313) | c3_1(a313) | c1_1(a313) | c0_1(a313))),
% 0.95/0.87 inference(quant_inst,[status(thm)],[])).
% 0.95/0.87 tff(534,plain,
% 0.95/0.87 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c1_1(a313) | c2_1(a313) | c3_1(a313) | (~ndr1_0) | c0_1(a313)),
% 0.95/0.87 inference(modus_ponens,[status(thm)],[533, 532])).
% 0.95/0.87 tff(535,plain,
% 0.95/0.87 (c0_1(a313)),
% 0.95/0.87 inference(unit_resolution,[status(thm)],[534, 154, 54, 528, 527, 526, 10])).
% 0.95/0.87 tff(536,assumption,(c0_1(a313)), introduced(assumption)).
% 0.95/0.87 tff(537,assumption,(~c2_1(a274)), introduced(assumption)).
% 0.95/0.87 tff(538,plain,
% 0.95/0.87 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W))) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W))))),
% 0.95/0.87 inference(bind,[status(th)],[])).
% 0.95/0.87 tff(539,plain,
% 0.95/0.87 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_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) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 0.95/0.87 inference(quant_intro,[status(thm)],[538])).
% 0.95/0.87 tff(540,plain,
% 0.95/0.87 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_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) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 0.95/0.87 inference(rewrite,[status(thm)],[])).
% 0.95/0.87 tff(541,plain,
% 0.95/0.87 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(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)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c1_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(V)))), ((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(V))))), (((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(V))) | (~c0_1(W))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(V)) | (~c0_1(W)))), (((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(V)) | (~c0_1(W))))), ((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(V)) | (~c0_1(W))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(V)) | (~c0_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(V)) | (~c0_1(W)))), ((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(V)) | (~c0_1(W))))), (((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(V)) | (~c0_1(W))) | c3_1(U)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(V)) | (~c0_1(W))) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | (~c0_1(V)) | (~c0_1(W)))), (((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | (~c0_1(V)) | (~c0_1(W))))), ((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(U)) | c3_1(U)) | c2_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | (~c0_1(V)) | (~c0_1(W))) | c2_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | (~c0_1(V)) | (~c0_1(W))) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c2_1(V) | (~c0_1(V)) | (~c0_1(W)))), ((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(U)) | c3_1(U)) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c2_1(V) | (~c0_1(V)) | (~c0_1(W))))), (((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(U)) | c3_1(U)) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c2_1(V) | (~c0_1(V)) | (~c0_1(W))) | c3_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c2_1(V) | (~c0_1(V)) | (~c0_1(W))) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c0_1(W)))), (((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(U)) | c3_1(U)) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c0_1(W))))), ((((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(U)) | c3_1(U)) | c2_1(V)) | c3_1(V)) | c1_1(W)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c0_1(W))) | c1_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c0_1(W))) | c1_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)))), ((((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(U)) | c3_1(U)) | c2_1(V)) | c3_1(V)) | c1_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c0_1(W))))), (((((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(U)) | c3_1(U)) | c2_1(V)) | c3_1(V)) | c1_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c0_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c0_1(W))) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))), (((((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(U)) | c3_1(U)) | c2_1(V)) | c3_1(V)) | c1_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))))),
% 0.95/0.87 inference(bind,[status(th)],[])).
% 0.95/0.87 tff(542,plain,
% 0.95/0.87 (![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(U)) | c3_1(U)) | c2_1(V)) | c3_1(V)) | c1_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 0.95/0.87 inference(quant_intro,[status(thm)],[541])).
% 0.95/0.87 tff(543,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c0_1(W))) | c2_1(U)) | c3_1(U)) | c2_1(V)) | c3_1(V)) | c1_1(W)) | c2_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause178')).
% 0.95/0.87 tff(544,plain,
% 0.95/0.87 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 0.95/0.87 inference(modus_ponens,[status(thm)],[543, 542])).
% 0.95/0.87 tff(545,plain,
% 0.95/0.87 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 0.95/0.87 inference(modus_ponens,[status(thm)],[544, 540])).
% 0.95/0.87 tff(546,plain,(
% 0.95/0.87 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 0.95/0.87 inference(skolemize,[status(sab)],[545])).
% 0.95/0.87 tff(547,plain,
% 0.95/0.87 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 0.95/0.87 inference(modus_ponens,[status(thm)],[546, 539])).
% 0.95/0.87 tff(548,assumption,(~c3_1(a313)), introduced(assumption)).
% 0.95/0.87 tff(549,assumption,(~c2_1(a313)), introduced(assumption)).
% 0.95/0.87 tff(550,assumption,(~c1_1(a313)), introduced(assumption)).
% 0.95/0.87 tff(551,plain,
% 0.95/0.87 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c3_1(a274) | (~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | (~c0_1(a313)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c3_1(a274) | (~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | (~c0_1(a313)))),
% 0.95/0.87 inference(rewrite,[status(thm)],[])).
% 0.95/0.87 tff(552,plain,
% 0.95/0.87 (((~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | c3_1(a274) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313))) <=> (c1_1(a313) | c2_1(a313) | c3_1(a313) | c3_1(a274) | (~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | (~c0_1(a313)))),
% 0.95/0.87 inference(rewrite,[status(thm)],[])).
% 0.95/0.87 tff(553,plain,
% 0.95/0.87 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | c3_1(a274) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c3_1(a274) | (~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | (~c0_1(a313))))),
% 0.95/0.87 inference(monotonicity,[status(thm)],[552])).
% 0.95/0.87 tff(554,plain,
% 0.95/0.87 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | c3_1(a274) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c3_1(a274) | (~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | (~c0_1(a313)))),
% 0.95/0.87 inference(transitivity,[status(thm)],[553, 551])).
% 0.95/0.87 tff(555,plain,
% 0.95/0.87 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | c3_1(a274) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313)))),
% 0.95/0.87 inference(quant_inst,[status(thm)],[])).
% 0.95/0.87 tff(556,plain,
% 0.95/0.87 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c3_1(a274) | (~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | (~c0_1(a313))),
% 0.95/0.87 inference(modus_ponens,[status(thm)],[555, 554])).
% 0.95/0.87 tff(557,plain,
% 0.95/0.87 ($false),
% 0.95/0.87 inference(unit_resolution,[status(thm)],[556, 154, 443, 550, 549, 548, 442, 547, 537, 536])).
% 0.95/0.87 tff(558,plain,(c2_1(a274) | (~c1_1(a274)) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c3_1(a274) | (~c0_1(a313))), inference(lemma,lemma(discharge,[]))).
% 0.95/0.87 tff(559,plain,
% 0.95/0.87 (c2_1(a274)),
% 0.95/0.87 inference(unit_resolution,[status(thm)],[558, 535, 528, 527, 526, 73, 84])).
% 0.95/0.87 tff(560,plain,
% 0.95/0.87 (^[V: $i, U: $i] : refl((hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) <=> (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))))),
% 0.95/0.87 inference(bind,[status(th)],[])).
% 0.95/0.87 tff(561,plain,
% 0.95/0.87 (![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 0.95/0.87 inference(quant_intro,[status(thm)],[560])).
% 0.95/0.87 tff(562,plain,
% 0.95/0.87 (![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 0.95/0.87 inference(rewrite,[status(thm)],[])).
% 0.95/0.87 tff(563,plain,
% 0.95/0.87 (^[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)) | (~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))) | c1_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V))) | c2_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | hskp18) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) | hskp18))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) | hskp18) <=> (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | hskp18) <=> (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))))),
% 0.95/0.87 inference(bind,[status(th)],[])).
% 0.95/0.87 tff(564,plain,
% 0.95/0.87 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | hskp18) <=> ![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 0.95/0.87 inference(quant_intro,[status(thm)],[563])).
% 0.95/0.87 tff(565,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c1_1(V)) | c2_1(V)) | hskp18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause170')).
% 0.95/0.87 tff(566,plain,
% 0.95/0.87 (![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 0.95/0.87 inference(modus_ponens,[status(thm)],[565, 564])).
% 0.95/0.87 tff(567,plain,
% 0.95/0.87 (![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 0.95/0.87 inference(modus_ponens,[status(thm)],[566, 562])).
% 0.95/0.87 tff(568,plain,(
% 0.95/0.87 ![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 0.95/0.87 inference(skolemize,[status(sab)],[567])).
% 0.95/0.87 tff(569,plain,
% 0.95/0.87 (![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 0.95/0.87 inference(modus_ponens,[status(thm)],[568, 561])).
% 0.95/0.87 tff(570,plain,
% 0.95/0.87 (((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | c1_1(a313) | c2_1(a313) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c0_1(a313)))) <=> ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp18 | c1_1(a313) | c2_1(a313) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c0_1(a313)))),
% 0.95/0.87 inference(rewrite,[status(thm)],[])).
% 0.95/0.87 tff(571,plain,
% 0.95/0.87 ((hskp18 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a313) | c2_1(a313) | (~c0_1(a313))) <=> (hskp18 | c1_1(a313) | c2_1(a313) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c0_1(a313)))),
% 0.95/0.87 inference(rewrite,[status(thm)],[])).
% 0.95/0.87 tff(572,plain,
% 0.95/0.87 (((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a313) | c2_1(a313) | (~c0_1(a313)))) <=> ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | c1_1(a313) | c2_1(a313) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c0_1(a313))))),
% 0.98/0.87 inference(monotonicity,[status(thm)],[571])).
% 0.98/0.87 tff(573,plain,
% 0.98/0.87 (((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a313) | c2_1(a313) | (~c0_1(a313)))) <=> ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp18 | c1_1(a313) | c2_1(a313) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c0_1(a313)))),
% 0.98/0.87 inference(transitivity,[status(thm)],[572, 570])).
% 0.98/0.87 tff(574,plain,
% 0.98/0.87 ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a313) | c2_1(a313) | (~c0_1(a313)))),
% 0.98/0.87 inference(quant_inst,[status(thm)],[])).
% 0.98/0.87 tff(575,plain,
% 0.98/0.87 ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp18 | c1_1(a313) | c2_1(a313) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c0_1(a313))),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[574, 573])).
% 0.98/0.87 tff(576,plain,
% 0.98/0.87 ((~c2_1(a274)) | (~c0_1(a313))),
% 0.98/0.87 inference(unit_resolution,[status(thm)],[575, 154, 55, 431, 84, 528, 527, 569])).
% 0.98/0.87 tff(577,plain,
% 0.98/0.87 ($false),
% 0.98/0.87 inference(unit_resolution,[status(thm)],[576, 559, 535])).
% 0.98/0.87 tff(578,plain,(hskp18 | hskp2 | hskp8 | hskp16), inference(lemma,lemma(discharge,[]))).
% 0.98/0.87 tff(579,plain,
% 0.98/0.87 (hskp18),
% 0.98/0.87 inference(unit_resolution,[status(thm)],[578, 54, 32, 43])).
% 0.98/0.87 tff(580,plain,
% 0.98/0.87 (((~hskp18) | (~c2_1(a298))) <=> ((~hskp18) | (~c2_1(a298)))),
% 0.98/0.87 inference(rewrite,[status(thm)],[])).
% 0.98/0.87 tff(581,plain,
% 0.98/0.87 (((~c2_1(a298)) | (~hskp18)) <=> ((~hskp18) | (~c2_1(a298)))),
% 0.98/0.87 inference(rewrite,[status(thm)],[])).
% 0.98/0.87 tff(582,axiom,((~c2_1(a298)) | (~hskp18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause103')).
% 0.98/0.87 tff(583,plain,
% 0.98/0.87 ((~hskp18) | (~c2_1(a298))),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[582, 581])).
% 0.98/0.87 tff(584,plain,
% 0.98/0.87 ((~hskp18) | (~c2_1(a298))),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[583, 580])).
% 0.98/0.87 tff(585,plain,
% 0.98/0.87 (~c2_1(a298)),
% 0.98/0.87 inference(unit_resolution,[status(thm)],[584, 579])).
% 0.98/0.87 tff(586,plain,
% 0.98/0.87 (((~hskp18) | c3_1(a298)) <=> ((~hskp18) | c3_1(a298))),
% 0.98/0.87 inference(rewrite,[status(thm)],[])).
% 0.98/0.87 tff(587,axiom,((~hskp18) | c3_1(a298)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause64')).
% 0.98/0.87 tff(588,plain,
% 0.98/0.87 ((~hskp18) | c3_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[587, 586])).
% 0.98/0.87 tff(589,plain,
% 0.98/0.87 ((~hskp18) | c3_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[588, 586])).
% 0.98/0.87 tff(590,plain,
% 0.98/0.87 ((~hskp18) | c3_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[589, 586])).
% 0.98/0.87 tff(591,plain,
% 0.98/0.87 ((~hskp18) | c3_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[590, 586])).
% 0.98/0.87 tff(592,plain,
% 0.98/0.87 ((~hskp18) | c3_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[591, 586])).
% 0.98/0.87 tff(593,plain,
% 0.98/0.87 ((~hskp18) | c3_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[592, 586])).
% 0.98/0.87 tff(594,plain,
% 0.98/0.87 ((~hskp18) | c3_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[593, 586])).
% 0.98/0.87 tff(595,plain,
% 0.98/0.87 ((~hskp18) | c3_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[594, 586])).
% 0.98/0.87 tff(596,plain,
% 0.98/0.87 (c3_1(a298)),
% 0.98/0.87 inference(unit_resolution,[status(thm)],[595, 579])).
% 0.98/0.87 tff(597,plain,
% 0.98/0.87 (((~hskp18) | c1_1(a298)) <=> ((~hskp18) | c1_1(a298))),
% 0.98/0.87 inference(rewrite,[status(thm)],[])).
% 0.98/0.87 tff(598,axiom,((~hskp18) | c1_1(a298)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause63')).
% 0.98/0.87 tff(599,plain,
% 0.98/0.87 ((~hskp18) | c1_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[598, 597])).
% 0.98/0.87 tff(600,plain,
% 0.98/0.87 ((~hskp18) | c1_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[599, 597])).
% 0.98/0.87 tff(601,plain,
% 0.98/0.87 ((~hskp18) | c1_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[600, 597])).
% 0.98/0.87 tff(602,plain,
% 0.98/0.87 ((~hskp18) | c1_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[601, 597])).
% 0.98/0.87 tff(603,plain,
% 0.98/0.87 ((~hskp18) | c1_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[602, 597])).
% 0.98/0.87 tff(604,plain,
% 0.98/0.87 ((~hskp18) | c1_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[603, 597])).
% 0.98/0.87 tff(605,plain,
% 0.98/0.87 ((~hskp18) | c1_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[604, 597])).
% 0.98/0.87 tff(606,plain,
% 0.98/0.87 ((~hskp18) | c1_1(a298)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[605, 597])).
% 0.98/0.87 tff(607,plain,
% 0.98/0.87 (c1_1(a298)),
% 0.98/0.87 inference(unit_resolution,[status(thm)],[606, 579])).
% 0.98/0.87 tff(608,assumption,(~hskp7), introduced(assumption)).
% 0.98/0.87 tff(609,plain,
% 0.98/0.87 (^[U: $i] : refl((hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))) <=> (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))))),
% 0.98/0.87 inference(bind,[status(th)],[])).
% 0.98/0.87 tff(610,plain,
% 0.98/0.87 (![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))) <=> ![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))),
% 0.98/0.87 inference(quant_intro,[status(thm)],[609])).
% 0.98/0.87 tff(611,plain,
% 0.98/0.87 (![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))) <=> ![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))),
% 0.98/0.87 inference(rewrite,[status(thm)],[])).
% 0.98/0.87 tff(612,plain,
% 0.98/0.87 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) <=> ((~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)))), rewrite((((~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))))), ((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp7) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))) | hskp7))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))) | hskp7) <=> (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp7) <=> (hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp7) | hskp8) <=> ((hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))) | hskp8))), rewrite(((hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U))) | hskp8) <=> (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp7) | hskp8) <=> (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))))),
% 0.98/0.87 inference(bind,[status(th)],[])).
% 0.98/0.87 tff(613,plain,
% 0.98/0.87 (![U: $i] : ((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp7) | hskp8) <=> ![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))),
% 0.98/0.87 inference(quant_intro,[status(thm)],[612])).
% 0.98/0.87 tff(614,axiom,(![U: $i] : ((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp7) | hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause155')).
% 0.98/0.87 tff(615,plain,
% 0.98/0.87 (![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[614, 613])).
% 0.98/0.87 tff(616,plain,
% 0.98/0.87 (![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[615, 611])).
% 0.98/0.87 tff(617,plain,(
% 0.98/0.87 ![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))),
% 0.98/0.87 inference(skolemize,[status(sab)],[616])).
% 0.98/0.87 tff(618,plain,
% 0.98/0.87 (![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[617, 610])).
% 0.98/0.87 tff(619,plain,
% 0.98/0.87 (^[V: $i, U: $i] : refl((hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) <=> (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))))),
% 0.98/0.87 inference(bind,[status(th)],[])).
% 0.98/0.87 tff(620,plain,
% 0.98/0.87 (![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.98/0.87 inference(quant_intro,[status(thm)],[619])).
% 0.98/0.87 tff(621,plain,
% 0.98/0.87 (![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.98/0.87 inference(rewrite,[status(thm)],[])).
% 0.98/0.87 tff(622,plain,
% 0.98/0.87 (^[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)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c2_1(V)))), ((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c2_1(V))))), (((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) <=> (((~ndr1_0) | (~c0_1(U)) | (~c2_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c2_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c2_1(V)))), (((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c2_1(V))))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c2_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c2_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | (~c2_1(V)))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | (~c2_1(V))))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c2_1(V))))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c2_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c2_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c3_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) | (~c2_1(V))))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp4) <=> (((~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) | hskp4))), rewrite((((~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) | hskp4) <=> (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp4) <=> (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))))),
% 0.98/0.87 inference(bind,[status(th)],[])).
% 0.98/0.87 tff(623,plain,
% 0.98/0.87 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp4) <=> ![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.98/0.87 inference(quant_intro,[status(thm)],[622])).
% 0.98/0.87 tff(624,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause160')).
% 0.98/0.87 tff(625,plain,
% 0.98/0.87 (![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[624, 623])).
% 0.98/0.87 tff(626,plain,
% 0.98/0.87 (![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[625, 621])).
% 0.98/0.87 tff(627,plain,(
% 0.98/0.87 ![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.98/0.87 inference(skolemize,[status(sab)],[626])).
% 0.98/0.87 tff(628,plain,
% 0.98/0.87 (![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[627, 620])).
% 0.98/0.87 tff(629,assumption,(~hskp30), introduced(assumption)).
% 0.98/0.87 tff(630,plain,
% 0.98/0.87 (hskp5),
% 0.98/0.87 inference(unit_resolution,[status(thm)],[152, 629, 43])).
% 0.98/0.87 tff(631,plain,
% 0.98/0.87 (((~hskp5) | (~c3_1(a272))) <=> ((~hskp5) | (~c3_1(a272)))),
% 0.98/0.87 inference(rewrite,[status(thm)],[])).
% 0.98/0.87 tff(632,plain,
% 0.98/0.87 (((~c3_1(a272)) | (~hskp5)) <=> ((~hskp5) | (~c3_1(a272)))),
% 0.98/0.87 inference(rewrite,[status(thm)],[])).
% 0.98/0.87 tff(633,axiom,((~c3_1(a272)) | (~hskp5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause124')).
% 0.98/0.87 tff(634,plain,
% 0.98/0.87 ((~hskp5) | (~c3_1(a272))),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[633, 632])).
% 0.98/0.87 tff(635,plain,
% 0.98/0.87 ((~hskp5) | (~c3_1(a272))),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[634, 631])).
% 0.98/0.87 tff(636,plain,
% 0.98/0.87 (~c3_1(a272)),
% 0.98/0.87 inference(unit_resolution,[status(thm)],[635, 630])).
% 0.98/0.87 tff(637,plain,
% 0.98/0.87 (((~hskp5) | (~c1_1(a272))) <=> ((~hskp5) | (~c1_1(a272)))),
% 0.98/0.87 inference(rewrite,[status(thm)],[])).
% 0.98/0.87 tff(638,plain,
% 0.98/0.87 (((~c1_1(a272)) | (~hskp5)) <=> ((~hskp5) | (~c1_1(a272)))),
% 0.98/0.87 inference(rewrite,[status(thm)],[])).
% 0.98/0.87 tff(639,axiom,((~c1_1(a272)) | (~hskp5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause123')).
% 0.98/0.87 tff(640,plain,
% 0.98/0.87 ((~hskp5) | (~c1_1(a272))),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[639, 638])).
% 0.98/0.87 tff(641,plain,
% 0.98/0.87 ((~hskp5) | (~c1_1(a272))),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[640, 637])).
% 0.98/0.87 tff(642,plain,
% 0.98/0.87 (~c1_1(a272)),
% 0.98/0.87 inference(unit_resolution,[status(thm)],[641, 630])).
% 0.98/0.87 tff(643,plain,
% 0.98/0.87 (((~hskp5) | c0_1(a272)) <=> ((~hskp5) | c0_1(a272))),
% 0.98/0.87 inference(rewrite,[status(thm)],[])).
% 0.98/0.87 tff(644,axiom,((~hskp5) | c0_1(a272)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause82')).
% 0.98/0.87 tff(645,plain,
% 0.98/0.87 ((~hskp5) | c0_1(a272)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[644, 643])).
% 0.98/0.87 tff(646,plain,
% 0.98/0.87 ((~hskp5) | c0_1(a272)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[645, 643])).
% 0.98/0.87 tff(647,plain,
% 0.98/0.87 ((~hskp5) | c0_1(a272)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[646, 643])).
% 0.98/0.87 tff(648,plain,
% 0.98/0.87 ((~hskp5) | c0_1(a272)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[647, 643])).
% 0.98/0.87 tff(649,plain,
% 0.98/0.87 ((~hskp5) | c0_1(a272)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[648, 643])).
% 0.98/0.87 tff(650,plain,
% 0.98/0.87 ((~hskp5) | c0_1(a272)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[649, 643])).
% 0.98/0.87 tff(651,plain,
% 0.98/0.87 ((~hskp5) | c0_1(a272)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[650, 643])).
% 0.98/0.87 tff(652,plain,
% 0.98/0.87 ((~hskp5) | c0_1(a272)),
% 0.98/0.87 inference(modus_ponens,[status(thm)],[651, 643])).
% 0.98/0.87 tff(653,plain,
% 0.98/0.87 (c0_1(a272)),
% 0.98/0.87 inference(unit_resolution,[status(thm)],[652, 630])).
% 0.98/0.87 tff(654,plain,
% 0.98/0.87 (hskp18),
% 0.98/0.87 inference(unit_resolution,[status(thm)],[66, 608, 43])).
% 0.98/0.88 tff(655,plain,
% 0.98/0.88 (~c2_1(a298)),
% 0.98/0.88 inference(unit_resolution,[status(thm)],[584, 654])).
% 0.98/0.88 tff(656,plain,
% 0.98/0.88 (c3_1(a298)),
% 0.98/0.88 inference(unit_resolution,[status(thm)],[595, 654])).
% 0.98/0.88 tff(657,plain,
% 0.98/0.88 (c1_1(a298)),
% 0.98/0.88 inference(unit_resolution,[status(thm)],[606, 654])).
% 0.98/0.88 tff(658,assumption,(c0_1(a272)), introduced(assumption)).
% 0.98/0.88 tff(659,assumption,(~c1_1(a272)), introduced(assumption)).
% 0.98/0.88 tff(660,plain,
% 0.98/0.88 (^[V: $i, U: $i] : refl((hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) <=> (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))))),
% 0.98/0.88 inference(bind,[status(th)],[])).
% 0.98/0.88 tff(661,plain,
% 0.98/0.88 (![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 0.98/0.88 inference(quant_intro,[status(thm)],[660])).
% 0.98/0.88 tff(662,plain,
% 0.98/0.88 (![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(663,plain,
% 0.98/0.88 (^[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) | (~c1_1(U)) | (~c3_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c3_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(V)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(V))))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(V)))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(V))))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | (~c0_1(V)))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | (~c0_1(V))))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | (~c0_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | (~c0_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c1_1(V)) | c2_1(V)) | hskp7) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) | hskp7))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V))) | hskp7) <=> (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c1_1(V)) | c2_1(V)) | hskp7) <=> (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))))),
% 0.98/0.88 inference(bind,[status(th)],[])).
% 0.98/0.88 tff(664,plain,
% 0.98/0.88 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c1_1(V)) | c2_1(V)) | hskp7) <=> ![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 0.98/0.88 inference(quant_intro,[status(thm)],[663])).
% 0.98/0.88 tff(665,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | c2_1(U)) | c1_1(V)) | c2_1(V)) | hskp7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause165')).
% 0.98/0.88 tff(666,plain,
% 0.98/0.88 (![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[665, 664])).
% 0.98/0.88 tff(667,plain,
% 0.98/0.88 (![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[666, 662])).
% 0.98/0.88 tff(668,plain,(
% 0.98/0.88 ![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 0.98/0.88 inference(skolemize,[status(sab)],[667])).
% 0.98/0.88 tff(669,plain,
% 0.98/0.88 (![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[668, 661])).
% 0.98/0.88 tff(670,assumption,(~c2_1(a298)), introduced(assumption)).
% 0.98/0.88 tff(671,assumption,(c3_1(a298)), introduced(assumption)).
% 0.98/0.88 tff(672,assumption,(c1_1(a298)), introduced(assumption)).
% 0.98/0.88 tff(673,plain,
% 0.98/0.88 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | c1_1(a313) | c2_1(a313) | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a313)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c1_1(a313) | c2_1(a313) | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a313)))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(674,plain,
% 0.98/0.88 ((hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a313) | c2_1(a313) | (~c0_1(a313))) <=> (hskp7 | c1_1(a313) | c2_1(a313) | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a313)))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(675,plain,
% 0.98/0.88 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a313) | c2_1(a313) | (~c0_1(a313)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | c1_1(a313) | c2_1(a313) | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a313))))),
% 0.98/0.88 inference(monotonicity,[status(thm)],[674])).
% 0.98/0.88 tff(676,plain,
% 0.98/0.88 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a313) | c2_1(a313) | (~c0_1(a313)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c1_1(a313) | c2_1(a313) | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a313)))),
% 0.98/0.88 inference(transitivity,[status(thm)],[675, 673])).
% 0.98/0.88 tff(677,plain,
% 0.98/0.88 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a313) | c2_1(a313) | (~c0_1(a313)))),
% 0.98/0.88 inference(quant_inst,[status(thm)],[])).
% 0.98/0.88 tff(678,plain,
% 0.98/0.88 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c1_1(a313) | c2_1(a313) | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a313))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[677, 676])).
% 0.98/0.88 tff(679,plain,
% 0.98/0.88 (~c0_1(a313)),
% 0.98/0.88 inference(unit_resolution,[status(thm)],[678, 154, 608, 672, 671, 29, 23, 670, 669])).
% 0.98/0.88 tff(680,plain,
% 0.98/0.88 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | c2_1(a298) | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | (~c1_1(a298)) | (~c3_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c2_1(a298) | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(681,plain,
% 0.98/0.88 ((hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272))) <=> (hskp7 | c2_1(a298) | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(682,plain,
% 0.98/0.88 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | c2_1(a298) | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | (~c1_1(a298)) | (~c3_1(a298))))),
% 0.98/0.88 inference(monotonicity,[status(thm)],[681])).
% 0.98/0.88 tff(683,plain,
% 0.98/0.88 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c2_1(a298) | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 0.98/0.88 inference(transitivity,[status(thm)],[682, 680])).
% 0.98/0.88 tff(684,plain,
% 0.98/0.88 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272)))),
% 0.98/0.88 inference(quant_inst,[status(thm)],[])).
% 0.98/0.88 tff(685,plain,
% 0.98/0.88 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c2_1(a298) | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | (~c1_1(a298)) | (~c3_1(a298))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[684, 683])).
% 0.98/0.88 tff(686,plain,
% 0.98/0.88 (c2_1(a272)),
% 0.98/0.88 inference(unit_resolution,[status(thm)],[685, 154, 608, 672, 671, 658, 670, 659, 669])).
% 0.98/0.88 tff(687,plain,
% 0.98/0.88 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_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) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W)))),
% 0.98/0.88 inference(bind,[status(th)],[])).
% 0.98/0.88 tff(688,plain,
% 0.98/0.88 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_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) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 0.98/0.88 inference(quant_intro,[status(thm)],[687])).
% 0.98/0.88 tff(689,plain,
% 0.98/0.88 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_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) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(690,plain,
% 0.98/0.88 (^[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)) | c1_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c1_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U))) | c1_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U))) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c1_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c1_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V)) | c2_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c1_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c1_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)) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c1_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)) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | c0_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c0_1(W))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c0_1(W)))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c0_1(W)) | c1_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c1_1(W) | c0_1(W))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c1_1(W) | c0_1(W)))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_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) | c1_1(V) | c2_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) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))))),
% 0.98/0.88 inference(bind,[status(th)],[])).
% 0.98/0.88 tff(691,plain,
% 0.98/0.88 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(W)) | 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) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 0.98/0.88 inference(quant_intro,[status(thm)],[690])).
% 0.98/0.88 tff(692,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) | c2_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause176')).
% 0.98/0.88 tff(693,plain,
% 0.98/0.88 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[692, 691])).
% 0.98/0.88 tff(694,plain,
% 0.98/0.88 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[693, 689])).
% 0.98/0.88 tff(695,plain,(
% 0.98/0.88 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 0.98/0.88 inference(skolemize,[status(sab)],[694])).
% 0.98/0.88 tff(696,plain,
% 0.98/0.88 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[695, 688])).
% 0.98/0.88 tff(697,plain,
% 0.98/0.88 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | c0_1(a313))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | c0_1(a313))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(698,plain,
% 0.98/0.88 (((~ndr1_0) | c1_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a313) | c1_1(a313) | c0_1(a313)) <=> (c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | c0_1(a313))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(699,plain,
% 0.98/0.88 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a313) | c1_1(a313) | c0_1(a313))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | c0_1(a313)))),
% 0.98/0.88 inference(monotonicity,[status(thm)],[698])).
% 0.98/0.88 tff(700,plain,
% 0.98/0.88 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a313) | c1_1(a313) | c0_1(a313))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | c0_1(a313))),
% 0.98/0.88 inference(transitivity,[status(thm)],[699, 697])).
% 0.98/0.88 tff(701,plain,
% 0.98/0.88 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a313) | c1_1(a313) | c0_1(a313))),
% 0.98/0.88 inference(quant_inst,[status(thm)],[])).
% 0.98/0.88 tff(702,plain,
% 0.98/0.88 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | c0_1(a313)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[701, 700])).
% 0.98/0.88 tff(703,plain,
% 0.98/0.88 ($false),
% 0.98/0.88 inference(unit_resolution,[status(thm)],[702, 154, 658, 29, 23, 17, 659, 696, 686, 679])).
% 0.98/0.88 tff(704,plain,((~hskp23) | (~c0_1(a272)) | c1_1(a272) | hskp7 | (~c1_1(a298)) | (~c3_1(a298)) | c2_1(a298)), inference(lemma,lemma(discharge,[]))).
% 0.98/0.88 tff(705,plain,
% 0.98/0.88 (~hskp23),
% 0.98/0.88 inference(unit_resolution,[status(thm)],[704, 657, 659, 658, 608, 656, 655])).
% 0.98/0.88 tff(706,plain,
% 0.98/0.88 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | (~c0_1(a298)) | (~c3_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | (~c0_1(a298)) | (~c3_1(a298)))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(707,plain,
% 0.98/0.88 ((hskp23 | (~ndr1_0) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a298)) | c2_1(a298) | (~c3_1(a298)) | (~c1_1(a298))) <=> (hskp23 | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | (~c0_1(a298)) | (~c3_1(a298)))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(708,plain,
% 0.98/0.88 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a298)) | c2_1(a298) | (~c3_1(a298)) | (~c1_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | (~c0_1(a298)) | (~c3_1(a298))))),
% 0.98/0.88 inference(monotonicity,[status(thm)],[707])).
% 0.98/0.88 tff(709,plain,
% 0.98/0.88 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a298)) | c2_1(a298) | (~c3_1(a298)) | (~c1_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | (~c0_1(a298)) | (~c3_1(a298)))),
% 0.98/0.88 inference(transitivity,[status(thm)],[708, 706])).
% 0.98/0.88 tff(710,plain,
% 0.98/0.88 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a298)) | c2_1(a298) | (~c3_1(a298)) | (~c1_1(a298)))),
% 0.98/0.88 inference(quant_inst,[status(thm)],[])).
% 0.98/0.88 tff(711,plain,
% 0.98/0.88 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | (~c0_1(a298)) | (~c3_1(a298))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[710, 709])).
% 0.98/0.88 tff(712,plain,
% 0.98/0.88 (~c0_1(a298)),
% 0.98/0.88 inference(unit_resolution,[status(thm)],[711, 154, 705, 657, 656, 655, 42])).
% 0.98/0.88 tff(713,plain,
% 0.98/0.88 (((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | c0_1(a298))) <=> ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp9 | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | c0_1(a298))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(714,plain,
% 0.98/0.88 ((hskp9 | (~ndr1_0) | c2_1(a298) | c0_1(a298) | (~c1_1(a298))) <=> (hskp9 | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | c0_1(a298))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(715,plain,
% 0.98/0.88 (((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | (~ndr1_0) | c2_1(a298) | c0_1(a298) | (~c1_1(a298)))) <=> ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | c0_1(a298)))),
% 0.98/0.88 inference(monotonicity,[status(thm)],[714])).
% 0.98/0.88 tff(716,plain,
% 0.98/0.88 (((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | (~ndr1_0) | c2_1(a298) | c0_1(a298) | (~c1_1(a298)))) <=> ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp9 | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | c0_1(a298))),
% 0.98/0.88 inference(transitivity,[status(thm)],[715, 713])).
% 0.98/0.88 tff(717,plain,
% 0.98/0.88 ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | (~ndr1_0) | c2_1(a298) | c0_1(a298) | (~c1_1(a298)))),
% 0.98/0.88 inference(quant_inst,[status(thm)],[])).
% 0.98/0.88 tff(718,plain,
% 0.98/0.88 ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp9 | c2_1(a298) | (~ndr1_0) | (~c1_1(a298)) | c0_1(a298)),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[717, 716])).
% 0.98/0.88 tff(719,plain,
% 0.98/0.88 (hskp9),
% 0.98/0.88 inference(unit_resolution,[status(thm)],[718, 154, 657, 655, 228, 712])).
% 0.98/0.88 tff(720,plain,
% 0.98/0.88 (~c1_1(a280)),
% 0.98/0.88 inference(unit_resolution,[status(thm)],[251, 719])).
% 0.98/0.88 tff(721,plain,
% 0.98/0.88 (c3_1(a280)),
% 0.98/0.88 inference(unit_resolution,[status(thm)],[262, 719])).
% 0.98/0.88 tff(722,plain,
% 0.98/0.88 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp16 | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(723,plain,
% 0.98/0.88 ((hskp16 | (~ndr1_0) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298))) <=> (hskp16 | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(724,plain,
% 0.98/0.88 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298))))),
% 0.98/0.88 inference(monotonicity,[status(thm)],[723])).
% 0.98/0.88 tff(725,plain,
% 0.98/0.88 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp16 | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))),
% 0.98/0.88 inference(transitivity,[status(thm)],[724, 722])).
% 0.98/0.88 tff(726,plain,
% 0.98/0.88 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298)))),
% 0.98/0.88 inference(quant_inst,[status(thm)],[])).
% 0.98/0.88 tff(727,plain,
% 0.98/0.88 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp16 | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[726, 725])).
% 0.98/0.88 tff(728,plain,
% 0.98/0.88 (~c0_1(a280)),
% 0.98/0.88 inference(unit_resolution,[status(thm)],[727, 154, 43, 657, 656, 721, 720, 218, 712])).
% 0.98/0.88 tff(729,plain,
% 0.98/0.88 (^[U: $i] : refl((hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))) <=> (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))))),
% 0.98/0.88 inference(bind,[status(th)],[])).
% 0.98/0.88 tff(730,plain,
% 0.98/0.88 (![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))),
% 0.98/0.88 inference(quant_intro,[status(thm)],[729])).
% 0.98/0.88 tff(731,plain,
% 0.98/0.88 (![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))),
% 0.98/0.88 inference(rewrite,[status(thm)],[])).
% 0.98/0.88 tff(732,plain,
% 0.98/0.88 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c3_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c3_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U))))), (((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))), (((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))))), ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp7) <=> (((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))) | hskp7))), rewrite((((~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))) | hskp7) <=> (hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))), ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp7) <=> (hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp7) | hskp8) <=> ((hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))) | hskp8))), rewrite(((hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U))) | hskp8) <=> (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp7) | hskp8) <=> (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))))),
% 0.98/0.88 inference(bind,[status(th)],[])).
% 0.98/0.88 tff(733,plain,
% 0.98/0.88 (![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp7) | hskp8) <=> ![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))),
% 0.98/0.88 inference(quant_intro,[status(thm)],[732])).
% 0.98/0.88 tff(734,axiom,(![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp7) | hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause139')).
% 0.98/0.88 tff(735,plain,
% 0.98/0.88 (![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[734, 733])).
% 0.98/0.88 tff(736,plain,
% 0.98/0.88 (![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))),
% 0.98/0.88 inference(modus_ponens,[status(thm)],[735, 731])).
% 0.98/0.89 tff(737,plain,(
% 0.98/0.89 ![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))),
% 0.98/0.89 inference(skolemize,[status(sab)],[736])).
% 0.98/0.89 tff(738,plain,
% 0.98/0.89 (![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[737, 730])).
% 0.98/0.89 tff(739,plain,
% 0.98/0.89 (((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp8 | hskp7 | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c3_1(a280)))) <=> ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | hskp8 | hskp7 | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c3_1(a280)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(740,plain,
% 0.98/0.89 ((hskp8 | hskp7 | (~ndr1_0) | c1_1(a280) | c0_1(a280) | (~c3_1(a280))) <=> (hskp8 | hskp7 | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c3_1(a280)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(741,plain,
% 0.98/0.89 (((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp8 | hskp7 | (~ndr1_0) | c1_1(a280) | c0_1(a280) | (~c3_1(a280)))) <=> ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp8 | hskp7 | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c3_1(a280))))),
% 0.98/0.89 inference(monotonicity,[status(thm)],[740])).
% 0.98/0.89 tff(742,plain,
% 0.98/0.89 (((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp8 | hskp7 | (~ndr1_0) | c1_1(a280) | c0_1(a280) | (~c3_1(a280)))) <=> ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | hskp8 | hskp7 | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c3_1(a280)))),
% 0.98/0.89 inference(transitivity,[status(thm)],[741, 739])).
% 0.98/0.89 tff(743,plain,
% 0.98/0.89 ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp8 | hskp7 | (~ndr1_0) | c1_1(a280) | c0_1(a280) | (~c3_1(a280)))),
% 0.98/0.89 inference(quant_inst,[status(thm)],[])).
% 0.98/0.89 tff(744,plain,
% 0.98/0.89 ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c3_1(U)))) | hskp8 | hskp7 | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c3_1(a280))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[743, 742])).
% 0.98/0.89 tff(745,plain,
% 0.98/0.89 ($false),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[744, 154, 32, 608, 721, 720, 738, 728])).
% 0.98/0.89 tff(746,plain,(hskp7 | hskp8 | hskp16 | c1_1(a272) | (~c0_1(a272))), inference(lemma,lemma(discharge,[]))).
% 0.98/0.89 tff(747,plain,
% 0.98/0.89 (hskp7),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[746, 32, 43, 642, 653])).
% 0.98/0.89 tff(748,plain,
% 0.98/0.89 (c0_1(a274)),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[430, 747])).
% 0.98/0.89 tff(749,plain,
% 0.98/0.89 (~c3_1(a274)),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[72, 747])).
% 0.98/0.89 tff(750,plain,
% 0.98/0.89 (c1_1(a274)),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[83, 747])).
% 0.98/0.89 tff(751,plain,
% 0.98/0.89 (~hskp23),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[704, 608, 659, 658, 657, 656, 655])).
% 0.98/0.89 tff(752,plain,
% 0.98/0.89 (hskp23 | (~c0_1(a298))),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[711, 154, 657, 656, 655, 42])).
% 0.98/0.89 tff(753,plain,
% 0.98/0.89 (~c0_1(a298)),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[752, 751])).
% 0.98/0.89 tff(754,plain,
% 0.98/0.89 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_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) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))))),
% 0.98/0.89 inference(bind,[status(th)],[])).
% 0.98/0.89 tff(755,plain,
% 0.98/0.89 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_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) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 0.98/0.89 inference(quant_intro,[status(thm)],[754])).
% 0.98/0.89 tff(756,plain,
% 0.98/0.89 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_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) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(757,plain,
% 0.98/0.89 (^[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))) | (~c3_1(U))) <=> ((~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c1_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c1_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | (~c3_1(W))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c0_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c0_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c0_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W))))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c0_1(V)) | c0_1(W)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c0_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c3_1(W)))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c0_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c3_1(W))))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c0_1(V)) | c0_1(W)) | c2_1(W)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_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) | (~c3_1(V)) | (~c1_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) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c0_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))))),
% 0.98/0.89 inference(bind,[status(th)],[])).
% 0.98/0.89 tff(758,plain,
% 0.98/0.89 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | 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) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 0.98/0.89 inference(quant_intro,[status(thm)],[757])).
% 0.98/0.89 tff(759,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c0_1(V)) | c0_1(W)) | c2_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause183')).
% 0.98/0.89 tff(760,plain,
% 0.98/0.89 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[759, 758])).
% 0.98/0.89 tff(761,plain,
% 0.98/0.89 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[760, 756])).
% 0.98/0.89 tff(762,plain,(
% 0.98/0.89 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 0.98/0.89 inference(skolemize,[status(sab)],[761])).
% 0.98/0.89 tff(763,plain,
% 0.98/0.89 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[762, 755])).
% 0.98/0.89 tff(764,assumption,(~c3_1(a272)), introduced(assumption)).
% 0.98/0.89 tff(765,assumption,(~c1_1(a269)), introduced(assumption)).
% 0.98/0.89 tff(766,plain,
% 0.98/0.89 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | c2_1(a298) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a298)) | (~c3_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c2_1(a298) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(767,plain,
% 0.98/0.89 ((hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269))) <=> (hskp7 | c2_1(a298) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(768,plain,
% 0.98/0.89 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | c2_1(a298) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a298)) | (~c3_1(a298))))),
% 0.98/0.89 inference(monotonicity,[status(thm)],[767])).
% 0.98/0.89 tff(769,plain,
% 0.98/0.89 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c2_1(a298) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 0.98/0.89 inference(transitivity,[status(thm)],[768, 766])).
% 0.98/0.89 tff(770,plain,
% 0.98/0.89 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269)))),
% 0.98/0.89 inference(quant_inst,[status(thm)],[])).
% 0.98/0.89 tff(771,plain,
% 0.98/0.89 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c2_1(a298) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a298)) | (~c3_1(a298))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[770, 769])).
% 0.98/0.89 tff(772,plain,
% 0.98/0.89 (~c0_1(a269)),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[771, 154, 608, 672, 671, 670, 765, 30, 669])).
% 0.98/0.89 tff(773,plain,
% 0.98/0.89 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W)))),
% 0.98/0.89 inference(bind,[status(th)],[])).
% 0.98/0.89 tff(774,plain,
% 0.98/0.89 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))),
% 0.98/0.89 inference(quant_intro,[status(thm)],[773])).
% 0.98/0.89 tff(775,plain,
% 0.98/0.89 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(776,plain,
% 0.98/0.89 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(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)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c2_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(V)))), ((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(V))))), (((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(V)))), (((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(V))))), ((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | (~c3_1(V)))), ((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | (~c3_1(V))))), (((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)))), (((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V))))), ((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))), ((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))))), (((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) | c0_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W))), (((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W)))), ((((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W)) | c1_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W))), ((((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W)))), (((((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c1_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W)) | c2_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))), (((((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c1_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))))),
% 0.98/0.89 inference(bind,[status(th)],[])).
% 0.98/0.89 tff(777,plain,
% 0.98/0.89 (![W: $i, V: $i, U: $i] : ((((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c1_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))),
% 0.98/0.89 inference(quant_intro,[status(thm)],[776])).
% 0.98/0.89 tff(778,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c1_1(W)) | c2_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause177')).
% 0.98/0.89 tff(779,plain,
% 0.98/0.89 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[778, 777])).
% 0.98/0.89 tff(780,plain,
% 0.98/0.89 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[779, 775])).
% 0.98/0.89 tff(781,plain,(
% 0.98/0.89 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))),
% 0.98/0.89 inference(skolemize,[status(sab)],[780])).
% 0.98/0.89 tff(782,plain,
% 0.98/0.89 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[781, 774])).
% 0.98/0.89 tff(783,plain,
% 0.98/0.89 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a269) | c1_1(a272) | c3_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c2_1(a272)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a269) | c1_1(a272) | c3_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c2_1(a272)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(784,plain,
% 0.98/0.89 (((~ndr1_0) | c1_1(a272) | c3_1(a272) | (~c2_1(a272)) | c1_1(a269) | c2_1(a269) | (~c3_1(a269)) | c2_1(a269) | c1_1(a269) | c0_1(a269)) <=> (c0_1(a269) | c1_1(a272) | c3_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c2_1(a272)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(785,plain,
% 0.98/0.89 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a272) | c3_1(a272) | (~c2_1(a272)) | c1_1(a269) | c2_1(a269) | (~c3_1(a269)) | c2_1(a269) | c1_1(a269) | c0_1(a269))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a269) | c1_1(a272) | c3_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c2_1(a272))))),
% 0.98/0.89 inference(monotonicity,[status(thm)],[784])).
% 0.98/0.89 tff(786,plain,
% 0.98/0.89 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a272) | c3_1(a272) | (~c2_1(a272)) | c1_1(a269) | c2_1(a269) | (~c3_1(a269)) | c2_1(a269) | c1_1(a269) | c0_1(a269))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a269) | c1_1(a272) | c3_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c2_1(a272)))),
% 0.98/0.89 inference(transitivity,[status(thm)],[785, 783])).
% 0.98/0.89 tff(787,plain,
% 0.98/0.89 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a272) | c3_1(a272) | (~c2_1(a272)) | c1_1(a269) | c2_1(a269) | (~c3_1(a269)) | c2_1(a269) | c1_1(a269) | c0_1(a269))),
% 0.98/0.89 inference(quant_inst,[status(thm)],[])).
% 0.98/0.89 tff(788,plain,
% 0.98/0.89 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a269) | c1_1(a272) | c3_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c2_1(a272))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[787, 786])).
% 0.98/0.89 tff(789,plain,
% 0.98/0.89 (c0_1(a269) | (~c3_1(a269))),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[788, 154, 659, 764, 765, 30, 782, 686])).
% 0.98/0.89 tff(790,plain,
% 0.98/0.89 (~c3_1(a269)),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[789, 772])).
% 0.98/0.89 tff(791,plain,
% 0.98/0.89 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a269) | c1_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a272)) | (~c2_1(a272)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a269) | c1_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a272)) | (~c2_1(a272)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(792,plain,
% 0.98/0.89 (((~ndr1_0) | c1_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a269) | c1_1(a269) | c2_1(a269) | c2_1(a269) | c1_1(a269) | c0_1(a269)) <=> (c0_1(a269) | c1_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a272)) | (~c2_1(a272)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(793,plain,
% 0.98/0.89 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a269) | c1_1(a269) | c2_1(a269) | c2_1(a269) | c1_1(a269) | c0_1(a269))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a269) | c1_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a272)) | (~c2_1(a272))))),
% 0.98/0.89 inference(monotonicity,[status(thm)],[792])).
% 0.98/0.89 tff(794,plain,
% 0.98/0.89 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a269) | c1_1(a269) | c2_1(a269) | c2_1(a269) | c1_1(a269) | c0_1(a269))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a269) | c1_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a272)) | (~c2_1(a272)))),
% 0.98/0.89 inference(transitivity,[status(thm)],[793, 791])).
% 0.98/0.89 tff(795,plain,
% 0.98/0.89 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a269) | c1_1(a269) | c2_1(a269) | c2_1(a269) | c1_1(a269) | c0_1(a269))),
% 0.98/0.89 inference(quant_inst,[status(thm)],[])).
% 0.98/0.89 tff(796,plain,
% 0.98/0.89 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a269) | c1_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a272)) | (~c2_1(a272))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[795, 794])).
% 0.98/0.89 tff(797,plain,
% 0.98/0.89 ($false),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[796, 154, 658, 772, 659, 765, 30, 696, 686, 790])).
% 0.98/0.89 tff(798,plain,(c1_1(a269) | (~c0_1(a272)) | c1_1(a272) | c2_1(a269) | c3_1(a272) | hskp7 | (~c1_1(a298)) | (~c3_1(a298)) | c2_1(a298)), inference(lemma,lemma(discharge,[]))).
% 0.98/0.89 tff(799,plain,
% 0.98/0.89 (c1_1(a269)),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[798, 608, 659, 30, 764, 658, 657, 656, 655])).
% 0.98/0.89 tff(800,assumption,(c1_1(a269)), introduced(assumption)).
% 0.98/0.89 tff(801,assumption,(~c0_1(a269)), introduced(assumption)).
% 0.98/0.89 tff(802,assumption,(c0_1(a280)), introduced(assumption)).
% 0.98/0.89 tff(803,plain,
% 0.98/0.89 (((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | c0_1(a269) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0))) <=> ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp9 | c0_1(a269) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(804,plain,
% 0.98/0.89 ((hskp9 | (~ndr1_0) | c2_1(a269) | c0_1(a269) | (~c1_1(a269))) <=> (hskp9 | c0_1(a269) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(805,plain,
% 0.98/0.89 (((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | (~ndr1_0) | c2_1(a269) | c0_1(a269) | (~c1_1(a269)))) <=> ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | c0_1(a269) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0)))),
% 0.98/0.89 inference(monotonicity,[status(thm)],[804])).
% 0.98/0.89 tff(806,plain,
% 0.98/0.89 (((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | (~ndr1_0) | c2_1(a269) | c0_1(a269) | (~c1_1(a269)))) <=> ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp9 | c0_1(a269) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0))),
% 0.98/0.89 inference(transitivity,[status(thm)],[805, 803])).
% 0.98/0.89 tff(807,plain,
% 0.98/0.89 ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | (~ndr1_0) | c2_1(a269) | c0_1(a269) | (~c1_1(a269)))),
% 0.98/0.89 inference(quant_inst,[status(thm)],[])).
% 0.98/0.89 tff(808,plain,
% 0.98/0.89 ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp9 | c0_1(a269) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0)),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[807, 806])).
% 0.98/0.89 tff(809,plain,
% 0.98/0.89 (hskp9 | c0_1(a269) | (~c1_1(a269))),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[808, 154, 30, 228])).
% 0.98/0.89 tff(810,plain,
% 0.98/0.89 (hskp9),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[809, 801, 800])).
% 0.98/0.89 tff(811,plain,
% 0.98/0.89 (~c1_1(a280)),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[251, 810])).
% 0.98/0.89 tff(812,plain,
% 0.98/0.89 (c3_1(a280)),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[262, 810])).
% 0.98/0.89 tff(813,plain,
% 0.98/0.89 (c2_1(a280)),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[290, 810])).
% 0.98/0.89 tff(814,plain,
% 0.98/0.89 (^[V: $i, U: $i] : refl((hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))))),
% 0.98/0.89 inference(bind,[status(th)],[])).
% 0.98/0.89 tff(815,plain,
% 0.98/0.89 (![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 0.98/0.89 inference(quant_intro,[status(thm)],[814])).
% 0.98/0.89 tff(816,plain,
% 0.98/0.89 (![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(817,plain,
% 0.98/0.89 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) <=> ((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) | c2_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) | c2_1(V)) | hskp27) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) | hskp27))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) | hskp27) <=> (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) | c2_1(V)) | hskp27) <=> (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))))),
% 0.98/0.89 inference(bind,[status(th)],[])).
% 0.98/0.89 tff(818,plain,
% 0.98/0.89 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) | c2_1(V)) | hskp27) <=> ![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 0.98/0.89 inference(quant_intro,[status(thm)],[817])).
% 0.98/0.89 tff(819,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(V)) | c2_1(V)) | hskp27)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause168')).
% 0.98/0.89 tff(820,plain,
% 0.98/0.89 (![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[819, 818])).
% 0.98/0.89 tff(821,plain,
% 0.98/0.89 (![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[820, 816])).
% 0.98/0.89 tff(822,plain,(
% 0.98/0.89 ![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 0.98/0.89 inference(skolemize,[status(sab)],[821])).
% 0.98/0.89 tff(823,plain,
% 0.98/0.89 (![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[822, 815])).
% 0.98/0.89 tff(824,plain,
% 0.98/0.89 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp27 | c0_1(a269) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp27 | c0_1(a269) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(825,plain,
% 0.98/0.89 ((hskp27 | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a269) | c2_1(a269) | (~c1_1(a269))) <=> (hskp27 | c0_1(a269) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(826,plain,
% 0.98/0.89 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp27 | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a269) | c2_1(a269) | (~c1_1(a269)))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp27 | c0_1(a269) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280))))),
% 0.98/0.89 inference(monotonicity,[status(thm)],[825])).
% 0.98/0.89 tff(827,plain,
% 0.98/0.89 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp27 | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a269) | c2_1(a269) | (~c1_1(a269)))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp27 | c0_1(a269) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 0.98/0.89 inference(transitivity,[status(thm)],[826, 824])).
% 0.98/0.89 tff(828,plain,
% 0.98/0.89 ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp27 | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a269) | c2_1(a269) | (~c1_1(a269)))),
% 0.98/0.89 inference(quant_inst,[status(thm)],[])).
% 0.98/0.89 tff(829,plain,
% 0.98/0.89 ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp27 | c0_1(a269) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280))),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[828, 827])).
% 0.98/0.89 tff(830,plain,
% 0.98/0.89 (hskp27 | (~c0_1(a280))),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[829, 154, 813, 812, 801, 800, 30, 823])).
% 0.98/0.89 tff(831,plain,
% 0.98/0.89 (hskp27),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[830, 802])).
% 0.98/0.89 tff(832,plain,
% 0.98/0.89 (((~hskp27) | c3_1(a276)) <=> ((~hskp27) | c3_1(a276))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(833,axiom,((~hskp27) | c3_1(a276)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause53')).
% 0.98/0.89 tff(834,plain,
% 0.98/0.89 ((~hskp27) | c3_1(a276)),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[833, 832])).
% 0.98/0.89 tff(835,plain,
% 0.98/0.89 ((~hskp27) | c3_1(a276)),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[834, 832])).
% 0.98/0.89 tff(836,plain,
% 0.98/0.89 ((~hskp27) | c3_1(a276)),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[835, 832])).
% 0.98/0.89 tff(837,plain,
% 0.98/0.89 ((~hskp27) | c3_1(a276)),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[836, 832])).
% 0.98/0.89 tff(838,plain,
% 0.98/0.89 ((~hskp27) | c3_1(a276)),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[837, 832])).
% 0.98/0.89 tff(839,plain,
% 0.98/0.89 ((~hskp27) | c3_1(a276)),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[838, 832])).
% 0.98/0.89 tff(840,plain,
% 0.98/0.89 ((~hskp27) | c3_1(a276)),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[839, 832])).
% 0.98/0.89 tff(841,plain,
% 0.98/0.89 ((~hskp27) | c3_1(a276)),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[840, 832])).
% 0.98/0.89 tff(842,plain,
% 0.98/0.89 (c3_1(a276)),
% 0.98/0.89 inference(unit_resolution,[status(thm)],[841, 831])).
% 0.98/0.89 tff(843,plain,
% 0.98/0.89 (((~hskp27) | c2_1(a276)) <=> ((~hskp27) | c2_1(a276))),
% 0.98/0.89 inference(rewrite,[status(thm)],[])).
% 0.98/0.89 tff(844,axiom,((~hskp27) | c2_1(a276)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause52')).
% 0.98/0.89 tff(845,plain,
% 0.98/0.89 ((~hskp27) | c2_1(a276)),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[844, 843])).
% 0.98/0.89 tff(846,plain,
% 0.98/0.89 ((~hskp27) | c2_1(a276)),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[845, 843])).
% 0.98/0.89 tff(847,plain,
% 0.98/0.89 ((~hskp27) | c2_1(a276)),
% 0.98/0.89 inference(modus_ponens,[status(thm)],[846, 843])).
% 0.98/0.89 tff(848,plain,
% 0.98/0.89 ((~hskp27) | c2_1(a276)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[847, 843])).
% 0.98/0.90 tff(849,plain,
% 0.98/0.90 ((~hskp27) | c2_1(a276)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[848, 843])).
% 0.98/0.90 tff(850,plain,
% 0.98/0.90 ((~hskp27) | c2_1(a276)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[849, 843])).
% 0.98/0.90 tff(851,plain,
% 0.98/0.90 ((~hskp27) | c2_1(a276)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[850, 843])).
% 0.98/0.90 tff(852,plain,
% 0.98/0.90 ((~hskp27) | c2_1(a276)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[851, 843])).
% 0.98/0.90 tff(853,plain,
% 0.98/0.90 (c2_1(a276)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[852, 831])).
% 0.98/0.90 tff(854,plain,
% 0.98/0.90 (((~hskp27) | c1_1(a276)) <=> ((~hskp27) | c1_1(a276))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(855,axiom,((~hskp27) | c1_1(a276)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause51')).
% 0.98/0.90 tff(856,plain,
% 0.98/0.90 ((~hskp27) | c1_1(a276)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[855, 854])).
% 0.98/0.90 tff(857,plain,
% 0.98/0.90 ((~hskp27) | c1_1(a276)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[856, 854])).
% 0.98/0.90 tff(858,plain,
% 0.98/0.90 ((~hskp27) | c1_1(a276)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[857, 854])).
% 0.98/0.90 tff(859,plain,
% 0.98/0.90 ((~hskp27) | c1_1(a276)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[858, 854])).
% 0.98/0.90 tff(860,plain,
% 0.98/0.90 ((~hskp27) | c1_1(a276)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[859, 854])).
% 0.98/0.90 tff(861,plain,
% 0.98/0.90 ((~hskp27) | c1_1(a276)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[860, 854])).
% 0.98/0.90 tff(862,plain,
% 0.98/0.90 ((~hskp27) | c1_1(a276)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[861, 854])).
% 0.98/0.90 tff(863,plain,
% 0.98/0.90 ((~hskp27) | c1_1(a276)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[862, 854])).
% 0.98/0.90 tff(864,plain,
% 0.98/0.90 (c1_1(a276)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[863, 831])).
% 0.98/0.90 tff(865,plain,
% 0.98/0.90 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | (c1_1(a280) | (~ndr1_0) | (~c3_1(a276)) | (~c1_1(a276)) | (~c2_1(a276)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | c1_1(a280) | (~ndr1_0) | (~c3_1(a276)) | (~c1_1(a276)) | (~c2_1(a276)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(866,plain,
% 0.98/0.90 (((~ndr1_0) | (~c1_1(a276)) | (~c2_1(a276)) | (~c3_1(a276)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c1_1(a280) | (~c0_1(a280)) | (~c2_1(a280))) <=> (c1_1(a280) | (~ndr1_0) | (~c3_1(a276)) | (~c1_1(a276)) | (~c2_1(a276)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(867,plain,
% 0.98/0.90 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | (~c1_1(a276)) | (~c2_1(a276)) | (~c3_1(a276)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c1_1(a280) | (~c0_1(a280)) | (~c2_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | (c1_1(a280) | (~ndr1_0) | (~c3_1(a276)) | (~c1_1(a276)) | (~c2_1(a276)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280))))),
% 0.98/0.90 inference(monotonicity,[status(thm)],[866])).
% 0.98/0.90 tff(868,plain,
% 0.98/0.90 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | (~c1_1(a276)) | (~c2_1(a276)) | (~c3_1(a276)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c1_1(a280) | (~c0_1(a280)) | (~c2_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | c1_1(a280) | (~ndr1_0) | (~c3_1(a276)) | (~c1_1(a276)) | (~c2_1(a276)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 0.98/0.90 inference(transitivity,[status(thm)],[867, 865])).
% 0.98/0.90 tff(869,plain,
% 0.98/0.90 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | (~c1_1(a276)) | (~c2_1(a276)) | (~c3_1(a276)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c1_1(a280) | (~c0_1(a280)) | (~c2_1(a280)))),
% 0.98/0.90 inference(quant_inst,[status(thm)],[])).
% 0.98/0.90 tff(870,plain,
% 0.98/0.90 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | c1_1(a280) | (~ndr1_0) | (~c3_1(a276)) | (~c1_1(a276)) | (~c2_1(a276)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280))),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[869, 868])).
% 0.98/0.90 tff(871,plain,
% 0.98/0.90 ($false),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[870, 154, 864, 853, 842, 813, 812, 811, 53, 802])).
% 0.98/0.90 tff(872,plain,((~c0_1(a280)) | c0_1(a269) | (~c1_1(a269)) | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 0.98/0.90 tff(873,plain,
% 0.98/0.90 (~c0_1(a280)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[872, 801, 800, 30])).
% 0.98/0.90 tff(874,plain,
% 0.98/0.90 (((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp4 | c1_1(a280) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp4 | c1_1(a280) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | c0_1(a280) | (~c2_1(a280)))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(875,plain,
% 0.98/0.90 ((hskp4 | (~ndr1_0) | c1_1(a272) | c3_1(a272) | (~c0_1(a272)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280))) <=> (hskp4 | c1_1(a280) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | c0_1(a280) | (~c2_1(a280)))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(876,plain,
% 0.98/0.90 (((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp4 | (~ndr1_0) | c1_1(a272) | c3_1(a272) | (~c0_1(a272)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp4 | c1_1(a280) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | c0_1(a280) | (~c2_1(a280))))),
% 0.98/0.90 inference(monotonicity,[status(thm)],[875])).
% 0.98/0.90 tff(877,plain,
% 0.98/0.90 (((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp4 | (~ndr1_0) | c1_1(a272) | c3_1(a272) | (~c0_1(a272)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp4 | c1_1(a280) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | c0_1(a280) | (~c2_1(a280)))),
% 0.98/0.90 inference(transitivity,[status(thm)],[876, 874])).
% 0.98/0.90 tff(878,plain,
% 0.98/0.90 ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp4 | (~ndr1_0) | c1_1(a272) | c3_1(a272) | (~c0_1(a272)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))),
% 0.98/0.90 inference(quant_inst,[status(thm)],[])).
% 0.98/0.90 tff(879,plain,
% 0.98/0.90 ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp4 | c1_1(a280) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | c0_1(a280) | (~c2_1(a280))),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[878, 877])).
% 0.98/0.90 tff(880,plain,
% 0.98/0.90 (hskp4 | c0_1(a280)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[879, 154, 813, 658, 811, 659, 764, 628])).
% 0.98/0.90 tff(881,plain,
% 0.98/0.90 (hskp4),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[880, 873])).
% 0.98/0.90 tff(882,plain,
% 0.98/0.90 (~c3_1(a271)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[90, 881])).
% 0.98/0.90 tff(883,plain,
% 0.98/0.90 (~c1_1(a271)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[96, 881])).
% 0.98/0.90 tff(884,plain,
% 0.98/0.90 (~c0_1(a271)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[102, 881])).
% 0.98/0.90 tff(885,plain,
% 0.98/0.90 (hskp8 | c0_1(a280)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[744, 154, 608, 812, 811, 738])).
% 0.98/0.90 tff(886,plain,
% 0.98/0.90 (hskp8),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[885, 873])).
% 0.98/0.90 tff(887,plain,
% 0.98/0.90 (~c3_1(a275)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[398, 886])).
% 0.98/0.90 tff(888,plain,
% 0.98/0.90 (~c2_1(a275)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[404, 886])).
% 0.98/0.90 tff(889,plain,
% 0.98/0.90 (~c0_1(a275)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[410, 886])).
% 0.98/0.90 tff(890,plain,
% 0.98/0.90 (((~hskp2) | (~c1_1(a269))) <=> ((~hskp2) | (~c1_1(a269)))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(891,plain,
% 0.98/0.90 (((~c1_1(a269)) | (~hskp2)) <=> ((~hskp2) | (~c1_1(a269)))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(892,axiom,((~c1_1(a269)) | (~hskp2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause129')).
% 0.98/0.90 tff(893,plain,
% 0.98/0.90 ((~hskp2) | (~c1_1(a269))),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[892, 891])).
% 0.98/0.90 tff(894,plain,
% 0.98/0.90 ((~hskp2) | (~c1_1(a269))),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[893, 890])).
% 0.98/0.90 tff(895,plain,
% 0.98/0.90 (~hskp2),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[894, 800])).
% 0.98/0.90 tff(896,plain,
% 0.98/0.90 ($false),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[417, 154, 895, 889, 888, 887, 884, 883, 882, 10])).
% 0.98/0.90 tff(897,plain,(c0_1(a269) | (~c0_1(a272)) | c1_1(a272) | c3_1(a272) | hskp7 | (~c1_1(a269)) | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 0.98/0.90 tff(898,plain,
% 0.98/0.90 (c0_1(a269)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[897, 608, 659, 764, 658, 799, 30])).
% 0.98/0.90 tff(899,plain,
% 0.98/0.90 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | c2_1(a298) | (~c1_1(a269)) | (~ndr1_0) | (~c0_1(a269)) | (~c3_1(a269)) | (~c1_1(a298)) | (~c3_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a298) | (~c1_1(a269)) | (~ndr1_0) | (~c0_1(a269)) | (~c3_1(a269)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(900,plain,
% 0.98/0.90 ((hskp23 | (~ndr1_0) | (~c1_1(a269)) | (~c3_1(a269)) | (~c0_1(a269)) | c2_1(a298) | (~c3_1(a298)) | (~c1_1(a298))) <=> (hskp23 | c2_1(a298) | (~c1_1(a269)) | (~ndr1_0) | (~c0_1(a269)) | (~c3_1(a269)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(901,plain,
% 0.98/0.90 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a269)) | (~c3_1(a269)) | (~c0_1(a269)) | c2_1(a298) | (~c3_1(a298)) | (~c1_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | c2_1(a298) | (~c1_1(a269)) | (~ndr1_0) | (~c0_1(a269)) | (~c3_1(a269)) | (~c1_1(a298)) | (~c3_1(a298))))),
% 0.98/0.90 inference(monotonicity,[status(thm)],[900])).
% 0.98/0.90 tff(902,plain,
% 0.98/0.90 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a269)) | (~c3_1(a269)) | (~c0_1(a269)) | c2_1(a298) | (~c3_1(a298)) | (~c1_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a298) | (~c1_1(a269)) | (~ndr1_0) | (~c0_1(a269)) | (~c3_1(a269)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 0.98/0.90 inference(transitivity,[status(thm)],[901, 899])).
% 0.98/0.90 tff(903,plain,
% 0.98/0.90 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a269)) | (~c3_1(a269)) | (~c0_1(a269)) | c2_1(a298) | (~c3_1(a298)) | (~c1_1(a298)))),
% 0.98/0.90 inference(quant_inst,[status(thm)],[])).
% 0.98/0.90 tff(904,plain,
% 0.98/0.90 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a298) | (~c1_1(a269)) | (~ndr1_0) | (~c0_1(a269)) | (~c3_1(a269)) | (~c1_1(a298)) | (~c3_1(a298))),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[903, 902])).
% 0.98/0.90 tff(905,plain,
% 0.98/0.90 (hskp23 | (~c0_1(a269)) | (~c3_1(a269))),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[904, 154, 657, 656, 655, 799, 42])).
% 0.98/0.90 tff(906,plain,
% 0.98/0.90 (~c3_1(a269)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[905, 751, 898])).
% 0.98/0.90 tff(907,plain,
% 0.98/0.90 (((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp28 | hskp23 | (~c1_1(a269)) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)))) <=> ((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | hskp28 | hskp23 | (~c1_1(a269)) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(908,plain,
% 0.98/0.90 ((hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a269)) | c3_1(a269) | (~c0_1(a269))) <=> (hskp28 | hskp23 | (~c1_1(a269)) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(909,plain,
% 0.98/0.90 (((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a269)) | c3_1(a269) | (~c0_1(a269)))) <=> ((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp28 | hskp23 | (~c1_1(a269)) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269))))),
% 0.98/0.90 inference(monotonicity,[status(thm)],[908])).
% 0.98/0.90 tff(910,plain,
% 0.98/0.90 (((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a269)) | c3_1(a269) | (~c0_1(a269)))) <=> ((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | hskp28 | hskp23 | (~c1_1(a269)) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)))),
% 0.98/0.90 inference(transitivity,[status(thm)],[909, 907])).
% 0.98/0.90 tff(911,plain,
% 0.98/0.90 ((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a269)) | c3_1(a269) | (~c0_1(a269)))),
% 0.98/0.90 inference(quant_inst,[status(thm)],[])).
% 0.98/0.90 tff(912,plain,
% 0.98/0.90 ((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | hskp28 | hskp23 | (~c1_1(a269)) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269))),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[911, 910])).
% 0.98/0.90 tff(913,plain,
% 0.98/0.90 (hskp28 | hskp23 | c3_1(a269) | (~c0_1(a269))),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[912, 154, 799, 441])).
% 0.98/0.90 tff(914,plain,
% 0.98/0.90 (hskp28),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[913, 751, 898, 906])).
% 0.98/0.90 tff(915,plain,
% 0.98/0.90 (c3_1(a278)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[484, 914])).
% 0.98/0.90 tff(916,plain,
% 0.98/0.90 (c1_1(a278)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[462, 914])).
% 0.98/0.90 tff(917,plain,
% 0.98/0.90 (c0_1(a278)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[473, 914])).
% 0.98/0.90 tff(918,plain,
% 0.98/0.90 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c2_1(a298) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c2_1(a298) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(919,plain,
% 0.98/0.90 (((~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298)) | c2_1(a298) | c0_1(a298) | (~c3_1(a298))) <=> (c2_1(a298) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(920,plain,
% 0.98/0.90 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298)) | c2_1(a298) | c0_1(a298) | (~c3_1(a298)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c2_1(a298) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298))))),
% 0.98/0.90 inference(monotonicity,[status(thm)],[919])).
% 0.98/0.90 tff(921,plain,
% 0.98/0.90 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298)) | c2_1(a298) | c0_1(a298) | (~c3_1(a298)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c2_1(a298) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))),
% 0.98/0.90 inference(transitivity,[status(thm)],[920, 918])).
% 0.98/0.90 tff(922,plain,
% 0.98/0.90 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298)) | c2_1(a298) | c0_1(a298) | (~c3_1(a298)))),
% 0.98/0.90 inference(quant_inst,[status(thm)],[])).
% 0.98/0.90 tff(923,plain,
% 0.98/0.90 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c2_1(a298) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298))),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[922, 921])).
% 0.98/0.90 tff(924,plain,
% 0.98/0.90 ($false),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[923, 154, 917, 916, 915, 657, 656, 655, 763, 753])).
% 0.98/0.90 tff(925,plain,(hskp7 | c1_1(a272) | (~c0_1(a272)) | c3_1(a272) | c2_1(a269) | hskp16), inference(lemma,lemma(discharge,[]))).
% 0.98/0.90 tff(926,plain,
% 0.98/0.90 (hskp7),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[925, 30, 653, 636, 642, 43])).
% 0.98/0.90 tff(927,plain,
% 0.98/0.90 (c0_1(a274)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[430, 926])).
% 0.98/0.90 tff(928,plain,
% 0.98/0.90 (~c3_1(a274)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[72, 926])).
% 0.98/0.90 tff(929,plain,
% 0.98/0.90 (c1_1(a274)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[83, 926])).
% 0.98/0.90 tff(930,assumption,(~c3_1(a269)), introduced(assumption)).
% 0.98/0.90 tff(931,plain,
% 0.98/0.90 (((~hskp2) | c0_1(a269)) <=> ((~hskp2) | c0_1(a269))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(932,axiom,((~hskp2) | c0_1(a269)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause85')).
% 0.98/0.90 tff(933,plain,
% 0.98/0.90 ((~hskp2) | c0_1(a269)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[932, 931])).
% 0.98/0.90 tff(934,plain,
% 0.98/0.90 ((~hskp2) | c0_1(a269)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[933, 931])).
% 0.98/0.90 tff(935,plain,
% 0.98/0.90 ((~hskp2) | c0_1(a269)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[934, 931])).
% 0.98/0.90 tff(936,plain,
% 0.98/0.90 ((~hskp2) | c0_1(a269)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[935, 931])).
% 0.98/0.90 tff(937,plain,
% 0.98/0.90 ((~hskp2) | c0_1(a269)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[936, 931])).
% 0.98/0.90 tff(938,plain,
% 0.98/0.90 ((~hskp2) | c0_1(a269)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[937, 931])).
% 0.98/0.90 tff(939,plain,
% 0.98/0.90 ((~hskp2) | c0_1(a269)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[938, 931])).
% 0.98/0.90 tff(940,plain,
% 0.98/0.90 ((~hskp2) | c0_1(a269)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[939, 931])).
% 0.98/0.90 tff(941,plain,
% 0.98/0.90 (~hskp2),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[940, 801])).
% 0.98/0.90 tff(942,plain,
% 0.98/0.90 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | c0_1(a269) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a269) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(943,plain,
% 0.98/0.90 ((hskp2 | (~ndr1_0) | c2_1(a269) | c0_1(a269) | c3_1(a269) | c3_1(a269) | c1_1(a269) | c0_1(a269)) <=> (hskp2 | c0_1(a269) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(944,plain,
% 0.98/0.90 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a269) | c0_1(a269) | c3_1(a269) | c3_1(a269) | c1_1(a269) | c0_1(a269))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | c0_1(a269) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269)))),
% 0.98/0.90 inference(monotonicity,[status(thm)],[943])).
% 0.98/0.90 tff(945,plain,
% 0.98/0.90 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a269) | c0_1(a269) | c3_1(a269) | c3_1(a269) | c1_1(a269) | c0_1(a269))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a269) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269))),
% 0.98/0.90 inference(transitivity,[status(thm)],[944, 942])).
% 0.98/0.90 tff(946,plain,
% 0.98/0.90 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a269) | c0_1(a269) | c3_1(a269) | c3_1(a269) | c1_1(a269) | c0_1(a269))),
% 0.98/0.90 inference(quant_inst,[status(thm)],[])).
% 0.98/0.90 tff(947,plain,
% 0.98/0.90 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a269) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269)),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[946, 945])).
% 0.98/0.90 tff(948,plain,
% 0.98/0.90 ($false),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[947, 154, 941, 801, 765, 30, 10, 930])).
% 0.98/0.90 tff(949,plain,(c3_1(a269) | c0_1(a269) | c1_1(a269) | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 0.98/0.90 tff(950,plain,
% 0.98/0.90 (c3_1(a269)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[949, 765, 801, 30])).
% 0.98/0.90 tff(951,plain,
% 0.98/0.90 (((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)))) <=> ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp8 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(952,plain,
% 0.98/0.90 ((hskp8 | (~ndr1_0) | c2_1(a269) | c1_1(a269) | (~c3_1(a269))) <=> (hskp8 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(953,plain,
% 0.98/0.90 (((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | (~ndr1_0) | c2_1(a269) | c1_1(a269) | (~c3_1(a269)))) <=> ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269))))),
% 0.98/0.90 inference(monotonicity,[status(thm)],[952])).
% 0.98/0.90 tff(954,plain,
% 0.98/0.90 (((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | (~ndr1_0) | c2_1(a269) | c1_1(a269) | (~c3_1(a269)))) <=> ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp8 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)))),
% 0.98/0.90 inference(transitivity,[status(thm)],[953, 951])).
% 0.98/0.90 tff(955,plain,
% 0.98/0.90 ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | (~ndr1_0) | c2_1(a269) | c1_1(a269) | (~c3_1(a269)))),
% 0.98/0.90 inference(quant_inst,[status(thm)],[])).
% 0.98/0.90 tff(956,plain,
% 0.98/0.90 ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp8 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269))),
% 0.98/0.90 inference(modus_ponens,[status(thm)],[955, 954])).
% 0.98/0.90 tff(957,plain,
% 0.98/0.90 (hskp8 | c1_1(a269) | (~c3_1(a269))),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[956, 154, 30, 113])).
% 0.98/0.90 tff(958,plain,
% 0.98/0.90 (hskp8),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[957, 950, 765])).
% 0.98/0.90 tff(959,plain,
% 0.98/0.90 (~c3_1(a275)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[398, 958])).
% 0.98/0.90 tff(960,plain,
% 0.98/0.90 (~c2_1(a275)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[404, 958])).
% 0.98/0.90 tff(961,plain,
% 0.98/0.90 (~c0_1(a275)),
% 0.98/0.90 inference(unit_resolution,[status(thm)],[410, 958])).
% 0.98/0.90 tff(962,plain,
% 0.98/0.90 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | c0_1(a275) | c2_1(a275) | c3_1(a275) | (~ndr1_0) | c1_1(a275))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a275) | c2_1(a275) | c3_1(a275) | (~ndr1_0) | c1_1(a275))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(963,plain,
% 0.98/0.90 ((hskp2 | (~ndr1_0) | c2_1(a275) | c0_1(a275) | c3_1(a275) | c3_1(a275) | c1_1(a275) | c0_1(a275)) <=> (hskp2 | c0_1(a275) | c2_1(a275) | c3_1(a275) | (~ndr1_0) | c1_1(a275))),
% 0.98/0.90 inference(rewrite,[status(thm)],[])).
% 0.98/0.90 tff(964,plain,
% 0.98/0.90 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a275) | c0_1(a275) | c3_1(a275) | c3_1(a275) | c1_1(a275) | c0_1(a275))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | c0_1(a275) | c2_1(a275) | c3_1(a275) | (~ndr1_0) | c1_1(a275)))),
% 0.98/0.91 inference(monotonicity,[status(thm)],[963])).
% 0.98/0.91 tff(965,plain,
% 0.98/0.91 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a275) | c0_1(a275) | c3_1(a275) | c3_1(a275) | c1_1(a275) | c0_1(a275))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a275) | c2_1(a275) | c3_1(a275) | (~ndr1_0) | c1_1(a275))),
% 0.98/0.91 inference(transitivity,[status(thm)],[964, 962])).
% 0.98/0.91 tff(966,plain,
% 0.98/0.91 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a275) | c0_1(a275) | c3_1(a275) | c3_1(a275) | c1_1(a275) | c0_1(a275))),
% 0.98/0.91 inference(quant_inst,[status(thm)],[])).
% 0.98/0.91 tff(967,plain,
% 0.98/0.91 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a275) | c2_1(a275) | c3_1(a275) | (~ndr1_0) | c1_1(a275)),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[966, 965])).
% 0.98/0.91 tff(968,plain,
% 0.98/0.91 (c1_1(a275)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[967, 154, 941, 961, 960, 959, 10])).
% 0.98/0.91 tff(969,assumption,(c2_1(a272)), introduced(assumption)).
% 0.98/0.91 tff(970,plain,
% 0.98/0.91 ((~c3_1(a269)) | (~c2_1(a272))),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[788, 154, 801, 659, 764, 765, 30, 782])).
% 0.98/0.91 tff(971,plain,
% 0.98/0.91 (~c3_1(a269)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[970, 969])).
% 0.98/0.91 tff(972,plain,
% 0.98/0.91 ($false),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[796, 154, 658, 801, 659, 765, 30, 696, 969, 971])).
% 0.98/0.91 tff(973,plain,((~c2_1(a272)) | (~c0_1(a272)) | c0_1(a269) | c1_1(a272) | c1_1(a269) | c2_1(a269) | c3_1(a272)), inference(lemma,lemma(discharge,[]))).
% 0.98/0.91 tff(974,plain,
% 0.98/0.91 (~c2_1(a272)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[973, 765, 801, 659, 658, 30, 764])).
% 0.98/0.91 tff(975,assumption,(~c2_1(a272)), introduced(assumption)).
% 0.98/0.91 tff(976,plain,
% 0.98/0.91 (((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | c1_1(a272) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c2_1(a272) | (~c0_1(a272)))) <=> ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp18 | c1_1(a272) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c2_1(a272) | (~c0_1(a272)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(977,plain,
% 0.98/0.91 ((hskp18 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272))) <=> (hskp18 | c1_1(a272) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c2_1(a272) | (~c0_1(a272)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(978,plain,
% 0.98/0.91 (((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272)))) <=> ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | c1_1(a272) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c2_1(a272) | (~c0_1(a272))))),
% 0.98/0.91 inference(monotonicity,[status(thm)],[977])).
% 0.98/0.91 tff(979,plain,
% 0.98/0.91 (((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272)))) <=> ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp18 | c1_1(a272) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c2_1(a272) | (~c0_1(a272)))),
% 0.98/0.91 inference(transitivity,[status(thm)],[978, 976])).
% 0.98/0.91 tff(980,plain,
% 0.98/0.91 ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272)))),
% 0.98/0.91 inference(quant_inst,[status(thm)],[])).
% 0.98/0.91 tff(981,plain,
% 0.98/0.91 ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp18 | c1_1(a272) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c2_1(a272) | (~c0_1(a272))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[980, 979])).
% 0.98/0.91 tff(982,plain,
% 0.98/0.91 (hskp18),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[981, 154, 474, 463, 658, 659, 569, 975, 498])).
% 0.98/0.91 tff(983,plain,
% 0.98/0.91 (~c2_1(a298)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[584, 982])).
% 0.98/0.91 tff(984,plain,
% 0.98/0.91 (c3_1(a298)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[595, 982])).
% 0.98/0.91 tff(985,plain,
% 0.98/0.91 (c1_1(a298)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[606, 982])).
% 0.98/0.91 tff(986,plain,
% 0.98/0.91 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | c2_1(a298) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a298)) | (~c3_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a298) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(987,plain,
% 0.98/0.91 ((hskp23 | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c2_1(a298) | (~c3_1(a298)) | (~c1_1(a298))) <=> (hskp23 | c2_1(a298) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(988,plain,
% 0.98/0.91 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c2_1(a298) | (~c3_1(a298)) | (~c1_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | c2_1(a298) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a298)) | (~c3_1(a298))))),
% 0.98/0.91 inference(monotonicity,[status(thm)],[987])).
% 0.98/0.91 tff(989,plain,
% 0.98/0.91 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c2_1(a298) | (~c3_1(a298)) | (~c1_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a298) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 0.98/0.91 inference(transitivity,[status(thm)],[988, 986])).
% 0.98/0.91 tff(990,plain,
% 0.98/0.91 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c2_1(a298) | (~c3_1(a298)) | (~c1_1(a298)))),
% 0.98/0.91 inference(quant_inst,[status(thm)],[])).
% 0.98/0.91 tff(991,plain,
% 0.98/0.91 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a298) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a298)) | (~c3_1(a298))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[990, 989])).
% 0.98/0.91 tff(992,plain,
% 0.98/0.91 ($false),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[991, 154, 31, 474, 463, 485, 985, 984, 983, 42])).
% 0.98/0.91 tff(993,plain,(hskp23 | (~c0_1(a272)) | c1_1(a272) | c2_1(a272) | (~c0_1(a274)) | (~c1_1(a274)) | c3_1(a274)), inference(lemma,lemma(discharge,[]))).
% 0.98/0.91 tff(994,plain,
% 0.98/0.91 (hskp23),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[993, 974, 659, 658, 444, 443, 442])).
% 0.98/0.91 tff(995,plain,
% 0.98/0.91 (~c3_1(a313)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[16, 994])).
% 0.98/0.91 tff(996,plain,
% 0.98/0.91 (~c2_1(a313)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[22, 994])).
% 0.98/0.91 tff(997,plain,
% 0.98/0.91 (~c1_1(a313)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[28, 994])).
% 0.98/0.91 tff(998,plain,
% 0.98/0.91 (c0_1(a313)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[534, 154, 941, 997, 996, 995, 10])).
% 0.98/0.91 tff(999,plain,
% 0.98/0.91 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a275) | c3_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c0_1(a313)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a275) | c3_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c0_1(a313)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(1000,plain,
% 0.98/0.91 (((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313))) <=> (c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a275) | c3_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c0_1(a313)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(1001,plain,
% 0.98/0.91 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a275) | c3_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c0_1(a313))))),
% 0.98/0.91 inference(monotonicity,[status(thm)],[1000])).
% 0.98/0.91 tff(1002,plain,
% 0.98/0.91 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a275) | c3_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c0_1(a313)))),
% 0.98/0.91 inference(transitivity,[status(thm)],[1001, 999])).
% 0.98/0.91 tff(1003,plain,
% 0.98/0.91 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313)))),
% 0.98/0.91 inference(quant_inst,[status(thm)],[])).
% 0.98/0.91 tff(1004,plain,
% 0.98/0.91 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a275) | c3_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c0_1(a313))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[1003, 1002])).
% 0.98/0.91 tff(1005,plain,
% 0.98/0.91 ($false),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[1004, 154, 997, 996, 995, 960, 959, 547, 998, 968])).
% 0.98/0.91 tff(1006,plain,(c1_1(a269) | c2_1(a269) | c0_1(a269) | c1_1(a272) | (~c0_1(a272)) | (~c0_1(a274)) | (~c1_1(a274)) | c3_1(a274) | c3_1(a272)), inference(lemma,lemma(discharge,[]))).
% 0.98/0.91 tff(1007,plain,
% 0.98/0.91 (c1_1(a269)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[1006, 801, 30, 659, 658, 444, 443, 442, 764])).
% 0.98/0.91 tff(1008,plain,
% 0.98/0.91 (~c0_1(a280)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[872, 1007, 801, 30])).
% 0.98/0.91 tff(1009,plain,
% 0.98/0.91 (hskp9),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[809, 1007, 801])).
% 0.98/0.91 tff(1010,plain,
% 0.98/0.91 (~c1_1(a280)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[251, 1009])).
% 0.98/0.91 tff(1011,plain,
% 0.98/0.91 (c2_1(a280)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[290, 1009])).
% 0.98/0.91 tff(1012,plain,
% 0.98/0.91 (hskp4),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[879, 154, 1011, 658, 1010, 659, 764, 628, 1008])).
% 0.98/0.91 tff(1013,plain,
% 0.98/0.91 (~c3_1(a271)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[90, 1012])).
% 0.98/0.91 tff(1014,plain,
% 0.98/0.91 (~c1_1(a271)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[96, 1012])).
% 0.98/0.91 tff(1015,plain,
% 0.98/0.91 (~c0_1(a271)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[102, 1012])).
% 0.98/0.91 tff(1016,plain,
% 0.98/0.91 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | c0_1(a269) | c0_1(a271) | c1_1(a271) | c3_1(a271) | c2_1(a269) | (~ndr1_0) | c3_1(a269))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a269) | c0_1(a271) | c1_1(a271) | c3_1(a271) | c2_1(a269) | (~ndr1_0) | c3_1(a269))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(1017,plain,
% 0.98/0.91 ((hskp2 | (~ndr1_0) | c2_1(a269) | c0_1(a269) | c3_1(a269) | c3_1(a271) | c1_1(a271) | c0_1(a271)) <=> (hskp2 | c0_1(a269) | c0_1(a271) | c1_1(a271) | c3_1(a271) | c2_1(a269) | (~ndr1_0) | c3_1(a269))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(1018,plain,
% 0.98/0.91 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a269) | c0_1(a269) | c3_1(a269) | c3_1(a271) | c1_1(a271) | c0_1(a271))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | c0_1(a269) | c0_1(a271) | c1_1(a271) | c3_1(a271) | c2_1(a269) | (~ndr1_0) | c3_1(a269)))),
% 0.98/0.91 inference(monotonicity,[status(thm)],[1017])).
% 0.98/0.91 tff(1019,plain,
% 0.98/0.91 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a269) | c0_1(a269) | c3_1(a269) | c3_1(a271) | c1_1(a271) | c0_1(a271))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a269) | c0_1(a271) | c1_1(a271) | c3_1(a271) | c2_1(a269) | (~ndr1_0) | c3_1(a269))),
% 0.98/0.91 inference(transitivity,[status(thm)],[1018, 1016])).
% 0.98/0.91 tff(1020,plain,
% 0.98/0.91 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp2 | (~ndr1_0) | c2_1(a269) | c0_1(a269) | c3_1(a269) | c3_1(a271) | c1_1(a271) | c0_1(a271))),
% 0.98/0.91 inference(quant_inst,[status(thm)],[])).
% 0.98/0.91 tff(1021,plain,
% 0.98/0.91 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp2 | c0_1(a269) | c0_1(a271) | c1_1(a271) | c3_1(a271) | c2_1(a269) | (~ndr1_0) | c3_1(a269)),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[1020, 1019])).
% 0.98/0.91 tff(1022,plain,
% 0.98/0.91 (c3_1(a269)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[1021, 154, 941, 801, 1015, 1014, 1013, 30, 10])).
% 0.98/0.91 tff(1023,plain,
% 0.98/0.91 (c3_1(a280)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[262, 1009])).
% 0.98/0.91 tff(1024,plain,
% 0.98/0.91 (hskp3),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[297, 154, 1011, 1023, 1010, 280, 1008])).
% 0.98/0.91 tff(1025,plain,
% 0.98/0.91 (~c2_1(a270)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[303, 1024])).
% 0.98/0.91 tff(1026,plain,
% 0.98/0.91 (c0_1(a270)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[372, 1024])).
% 0.98/0.91 tff(1027,plain,
% 0.98/0.91 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a269) | c1_1(a280) | c2_1(a270) | (~c1_1(a269)) | (~ndr1_0) | (~c3_1(a269)) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a269) | c1_1(a280) | c2_1(a270) | (~c1_1(a269)) | (~ndr1_0) | (~c3_1(a269)) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a280) | (~c2_1(a280)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(1028,plain,
% 0.98/0.91 (((~ndr1_0) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a269) | (~c3_1(a269)) | (~c1_1(a269)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280))) <=> (c0_1(a269) | c1_1(a280) | c2_1(a270) | (~c1_1(a269)) | (~ndr1_0) | (~c3_1(a269)) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a280) | (~c2_1(a280)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(1029,plain,
% 0.98/0.91 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a269) | (~c3_1(a269)) | (~c1_1(a269)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a269) | c1_1(a280) | c2_1(a270) | (~c1_1(a269)) | (~ndr1_0) | (~c3_1(a269)) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a280) | (~c2_1(a280))))),
% 0.98/0.91 inference(monotonicity,[status(thm)],[1028])).
% 0.98/0.91 tff(1030,plain,
% 0.98/0.91 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a269) | (~c3_1(a269)) | (~c1_1(a269)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a269) | c1_1(a280) | c2_1(a270) | (~c1_1(a269)) | (~ndr1_0) | (~c3_1(a269)) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a280) | (~c2_1(a280)))),
% 0.98/0.91 inference(transitivity,[status(thm)],[1029, 1027])).
% 0.98/0.91 tff(1031,plain,
% 0.98/0.91 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a269) | (~c3_1(a269)) | (~c1_1(a269)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))),
% 0.98/0.91 inference(quant_inst,[status(thm)],[])).
% 0.98/0.91 tff(1032,plain,
% 0.98/0.91 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a269) | c1_1(a280) | c2_1(a270) | (~c1_1(a269)) | (~ndr1_0) | (~c3_1(a269)) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a280) | (~c2_1(a280))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[1031, 1030])).
% 0.98/0.91 tff(1033,plain,
% 0.98/0.91 (~c1_1(a270)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[1032, 154, 1011, 1026, 801, 1010, 1025, 1007, 332, 1022, 1008])).
% 0.98/0.91 tff(1034,plain,
% 0.98/0.91 (c3_1(a270)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[314, 1024])).
% 0.98/0.91 tff(1035,plain,
% 0.98/0.91 (hskp8 | c1_1(a270)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[321, 154, 1034, 1025, 113])).
% 0.98/0.91 tff(1036,plain,
% 0.98/0.91 (hskp8),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[1035, 1033])).
% 0.98/0.91 tff(1037,plain,
% 0.98/0.91 (~c3_1(a275)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[398, 1036])).
% 0.98/0.91 tff(1038,plain,
% 0.98/0.91 (~c2_1(a275)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[404, 1036])).
% 0.98/0.91 tff(1039,plain,
% 0.98/0.91 (~c0_1(a275)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[410, 1036])).
% 0.98/0.91 tff(1040,plain,
% 0.98/0.91 (c1_1(a275)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[967, 154, 941, 1039, 1038, 1037, 10])).
% 0.98/0.91 tff(1041,plain,
% 0.98/0.91 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W))))),
% 0.98/0.91 inference(bind,[status(th)],[])).
% 0.98/0.91 tff(1042,plain,
% 0.98/0.91 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 0.98/0.91 inference(quant_intro,[status(thm)],[1041])).
% 0.98/0.91 tff(1043,plain,
% 0.98/0.91 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(1044,plain,
% 0.98/0.91 (^[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))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c1_1(W))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))) | (~c1_1(W))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))) | (~c1_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c1_1(W)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c1_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c1_1(W))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c1_1(W))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c1_1(W))) | c3_1(U)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c1_1(W)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c1_1(W))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c1_1(W))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c1_1(W))) | c1_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | (~c1_1(W)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | (~c1_1(W))))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c1_1(V)) | c0_1(W)) <=> (((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | (~c1_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | (~c1_1(W))) | c0_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | (~c1_1(W)))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c1_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | (~c1_1(W))))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c1_1(V)) | c0_1(W)) | c3_1(W)) <=> (((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | (~c1_1(W))) | c3_1(W)))), rewrite((((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | (~c1_1(W))) | c3_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c1_1(V)) | c0_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))))),
% 0.98/0.91 inference(bind,[status(th)],[])).
% 0.98/0.91 tff(1045,plain,
% 0.98/0.91 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c1_1(V)) | c0_1(W)) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 0.98/0.91 inference(quant_intro,[status(thm)],[1044])).
% 0.98/0.91 tff(1046,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c1_1(V)) | c0_1(W)) | c3_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause180')).
% 0.98/0.91 tff(1047,plain,
% 0.98/0.91 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[1046, 1045])).
% 0.98/0.91 tff(1048,plain,
% 0.98/0.91 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[1047, 1043])).
% 0.98/0.91 tff(1049,plain,(
% 0.98/0.91 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 0.98/0.91 inference(skolemize,[status(sab)],[1048])).
% 0.98/0.91 tff(1050,plain,
% 0.98/0.91 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[1049, 1042])).
% 0.98/0.91 tff(1051,plain,
% 0.98/0.91 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a275) | c3_1(a275) | c3_1(a274) | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c3_1(a270)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c1_1(a275)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a275) | c3_1(a275) | c3_1(a274) | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c3_1(a270)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c1_1(a275)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(1052,plain,
% 0.98/0.91 (((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c0_1(a274)) | c1_1(a270) | (~c3_1(a270)) | (~c0_1(a270)) | c0_1(a275) | c3_1(a275) | (~c1_1(a275))) <=> (c0_1(a275) | c3_1(a275) | c3_1(a274) | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c3_1(a270)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c1_1(a275)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(1053,plain,
% 0.98/0.91 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c0_1(a274)) | c1_1(a270) | (~c3_1(a270)) | (~c0_1(a270)) | c0_1(a275) | c3_1(a275) | (~c1_1(a275)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a275) | c3_1(a275) | c3_1(a274) | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c3_1(a270)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c1_1(a275))))),
% 0.98/0.91 inference(monotonicity,[status(thm)],[1052])).
% 0.98/0.91 tff(1054,plain,
% 0.98/0.91 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c0_1(a274)) | c1_1(a270) | (~c3_1(a270)) | (~c0_1(a270)) | c0_1(a275) | c3_1(a275) | (~c1_1(a275)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a275) | c3_1(a275) | c3_1(a274) | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c3_1(a270)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c1_1(a275)))),
% 0.98/0.91 inference(transitivity,[status(thm)],[1053, 1051])).
% 0.98/0.91 tff(1055,plain,
% 0.98/0.91 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c0_1(a274)) | c1_1(a270) | (~c3_1(a270)) | (~c0_1(a270)) | c0_1(a275) | c3_1(a275) | (~c1_1(a275)))),
% 0.98/0.91 inference(quant_inst,[status(thm)],[])).
% 0.98/0.91 tff(1056,plain,
% 0.98/0.91 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a275) | c3_1(a275) | c3_1(a274) | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c3_1(a270)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c1_1(a275))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[1055, 1054])).
% 0.98/0.91 tff(1057,plain,
% 0.98/0.91 ($false),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[1056, 154, 444, 443, 1026, 1034, 1039, 1037, 442, 1050, 1033, 1040])).
% 0.98/0.91 tff(1058,plain,(c0_1(a269) | (~c0_1(a274)) | (~c1_1(a274)) | c3_1(a274) | c2_1(a269) | (~c0_1(a272)) | c1_1(a272) | c3_1(a272)), inference(lemma,lemma(discharge,[]))).
% 0.98/0.91 tff(1059,plain,
% 0.98/0.91 (c0_1(a269)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[1058, 927, 929, 928, 30, 653, 642, 636])).
% 0.98/0.91 tff(1060,assumption,(c0_1(a269)), introduced(assumption)).
% 0.98/0.91 tff(1061,plain,
% 0.98/0.91 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c3_1(a274) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | c2_1(a274) | (~c0_1(a274)) | (~c1_1(a274)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c3_1(a274) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | c2_1(a274) | (~c0_1(a274)) | (~c1_1(a274)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(1062,plain,
% 0.98/0.91 (((~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | c3_1(a274) | c3_1(a274) | c2_1(a274) | (~c0_1(a274)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269))) <=> (c3_1(a274) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | c2_1(a274) | (~c0_1(a274)) | (~c1_1(a274)))),
% 0.98/0.91 inference(rewrite,[status(thm)],[])).
% 0.98/0.91 tff(1063,plain,
% 0.98/0.91 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | c3_1(a274) | c3_1(a274) | c2_1(a274) | (~c0_1(a274)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c3_1(a274) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | c2_1(a274) | (~c0_1(a274)) | (~c1_1(a274))))),
% 0.98/0.91 inference(monotonicity,[status(thm)],[1062])).
% 0.98/0.91 tff(1064,plain,
% 0.98/0.91 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | c3_1(a274) | c3_1(a274) | c2_1(a274) | (~c0_1(a274)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c3_1(a274) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | c2_1(a274) | (~c0_1(a274)) | (~c1_1(a274)))),
% 0.98/0.91 inference(transitivity,[status(thm)],[1063, 1061])).
% 0.98/0.91 tff(1065,plain,
% 0.98/0.91 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | c3_1(a274) | c3_1(a274) | c2_1(a274) | (~c0_1(a274)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))),
% 0.98/0.91 inference(quant_inst,[status(thm)],[])).
% 0.98/0.91 tff(1066,plain,
% 0.98/0.91 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c3_1(a274) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | c2_1(a274) | (~c0_1(a274)) | (~c1_1(a274))),
% 0.98/0.91 inference(modus_ponens,[status(thm)],[1065, 1064])).
% 0.98/0.91 tff(1067,plain,
% 0.98/0.91 ($false),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[1066, 154, 444, 443, 1060, 442, 765, 30, 547, 537])).
% 0.98/0.91 tff(1068,plain,(c2_1(a274) | (~c0_1(a274)) | (~c1_1(a274)) | (~c0_1(a269)) | c3_1(a274) | c1_1(a269) | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 0.98/0.91 tff(1069,plain,
% 0.98/0.91 (c2_1(a274)),
% 0.98/0.91 inference(unit_resolution,[status(thm)],[1068, 765, 929, 1059, 928, 927, 30])).
% 0.98/0.91 tff(1070,plain,
% 0.98/0.91 (^[V: $i, U: $i] : refl((hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))))),
% 0.98/0.92 inference(bind,[status(th)],[])).
% 0.98/0.92 tff(1071,plain,
% 0.98/0.92 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 0.98/0.92 inference(quant_intro,[status(thm)],[1070])).
% 0.98/0.92 tff(1072,plain,
% 0.98/0.92 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1073,plain,
% 0.98/0.92 (^[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)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(V)) | c1_1(V)) | hskp6) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) | hskp6))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) | hskp6) <=> (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(V)) | c1_1(V)) | hskp6) <=> (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))))),
% 0.98/0.92 inference(bind,[status(th)],[])).
% 0.98/0.92 tff(1074,plain,
% 0.98/0.92 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(V)) | c1_1(V)) | hskp6) <=> ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 0.98/0.92 inference(quant_intro,[status(thm)],[1073])).
% 0.98/0.92 tff(1075,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(V)) | c1_1(V)) | hskp6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause167')).
% 0.98/0.92 tff(1076,plain,
% 0.98/0.92 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1075, 1074])).
% 0.98/0.92 tff(1077,plain,
% 0.98/0.92 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1076, 1072])).
% 0.98/0.92 tff(1078,plain,(
% 0.98/0.92 ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 0.98/0.92 inference(skolemize,[status(sab)],[1077])).
% 0.98/0.92 tff(1079,plain,
% 0.98/0.92 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1078, 1071])).
% 0.98/0.92 tff(1080,plain,
% 0.98/0.92 (((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)))) <=> ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp18 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1081,plain,
% 0.98/0.92 ((hskp18 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269))) <=> (hskp18 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1082,plain,
% 0.98/0.92 (((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269)))) <=> ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274))))),
% 0.98/0.92 inference(monotonicity,[status(thm)],[1081])).
% 0.98/0.92 tff(1083,plain,
% 0.98/0.92 (((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269)))) <=> ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp18 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)))),
% 0.98/0.92 inference(transitivity,[status(thm)],[1082, 1080])).
% 0.98/0.92 tff(1084,plain,
% 0.98/0.92 ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269)))),
% 0.98/0.92 inference(quant_inst,[status(thm)],[])).
% 0.98/0.92 tff(1085,plain,
% 0.98/0.92 ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp18 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1084, 1083])).
% 0.98/0.92 tff(1086,plain,
% 0.98/0.92 (hskp18 | (~c2_1(a274))),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[1085, 154, 927, 929, 1059, 765, 30, 569])).
% 0.98/0.92 tff(1087,plain,
% 0.98/0.92 (hskp18),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[1086, 1069])).
% 0.98/0.92 tff(1088,plain,
% 0.98/0.92 (~c2_1(a298)),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[584, 1087])).
% 0.98/0.92 tff(1089,plain,
% 0.98/0.92 (c3_1(a298)),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[595, 1087])).
% 0.98/0.92 tff(1090,plain,
% 0.98/0.92 (c1_1(a298)),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[606, 1087])).
% 0.98/0.92 tff(1091,assumption,(c2_1(a274)), introduced(assumption)).
% 0.98/0.92 tff(1092,plain,
% 0.98/0.92 (^[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)) | c0_1(W) | (~c2_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) | (~c2_1(W)) | (~c1_1(W))))),
% 0.98/0.92 inference(bind,[status(th)],[])).
% 0.98/0.92 tff(1093,plain,
% 0.98/0.92 (![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)) | c0_1(W) | (~c2_1(W)) | (~c1_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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))),
% 0.98/0.92 inference(quant_intro,[status(thm)],[1092])).
% 0.98/0.92 tff(1094,plain,
% 0.98/0.92 (![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)) | c0_1(W) | (~c2_1(W)) | (~c1_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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1095,plain,
% 0.98/0.92 (^[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)) | (~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))) | (~c1_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c1_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c1_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c1_1(W)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c1_1(W))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | (~c2_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c1_1(W))) | (~c2_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c1_1(W))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W)) | (~c1_1(W)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W)) | (~c1_1(W))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | (~c2_1(W))) | c3_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W)) | (~c1_1(W))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W)) | (~c1_1(W))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W)) | (~c1_1(W)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | (~c2_1(W))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W)) | (~c1_1(W))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | (~c2_1(W))) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W)) | (~c1_1(W))) | c1_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W)) | (~c1_1(W))) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(W)) | (~c1_1(W)))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | (~c2_1(W))) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(W)) | (~c1_1(W))))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | (~c2_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) | (~c0_1(V)) | (~c2_1(W)) | (~c1_1(W))) | c3_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(W)) | (~c1_1(W))) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | (~c2_1(W)) | (~c1_1(W)))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | (~c2_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) | (~c0_1(V)) | (~c2_1(W)) | (~c1_1(W))))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | (~c2_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) | (~c0_1(V)) | (~c2_1(W)) | (~c1_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | (~c2_1(W)) | (~c1_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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | (~c2_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) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))))),
% 0.98/0.92 inference(bind,[status(th)],[])).
% 0.98/0.92 tff(1096,plain,
% 0.98/0.92 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | (~c2_1(W))) | c3_1(U)) | c1_1(V)) | c3_1(V)) | 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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))),
% 0.98/0.92 inference(quant_intro,[status(thm)],[1095])).
% 0.98/0.92 tff(1097,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(W))) | (~c2_1(W))) | c3_1(U)) | c1_1(V)) | c3_1(V)) | c0_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause181')).
% 0.98/0.92 tff(1098,plain,
% 0.98/0.92 (![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1097, 1096])).
% 0.98/0.92 tff(1099,plain,
% 0.98/0.92 (![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1098, 1094])).
% 0.98/0.92 tff(1100,plain,(
% 0.98/0.92 ![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))),
% 0.98/0.92 inference(skolemize,[status(sab)],[1099])).
% 0.98/0.92 tff(1101,plain,
% 0.98/0.92 (![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1100, 1093])).
% 0.98/0.92 tff(1102,assumption,(hskp6), introduced(assumption)).
% 0.98/0.92 tff(1103,plain,
% 0.98/0.92 (((~hskp6) | (~c0_1(a273))) <=> ((~hskp6) | (~c0_1(a273)))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1104,plain,
% 0.98/0.92 (((~c0_1(a273)) | (~hskp6)) <=> ((~hskp6) | (~c0_1(a273)))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1105,axiom,((~c0_1(a273)) | (~hskp6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause122')).
% 0.98/0.92 tff(1106,plain,
% 0.98/0.92 ((~hskp6) | (~c0_1(a273))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1105, 1104])).
% 0.98/0.92 tff(1107,plain,
% 0.98/0.92 ((~hskp6) | (~c0_1(a273))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1106, 1103])).
% 0.98/0.92 tff(1108,plain,
% 0.98/0.92 (~c0_1(a273)),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[1107, 1102])).
% 0.98/0.92 tff(1109,plain,
% 0.98/0.92 (((~hskp6) | c2_1(a273)) <=> ((~hskp6) | c2_1(a273))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1110,axiom,((~hskp6) | c2_1(a273)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause81')).
% 0.98/0.92 tff(1111,plain,
% 0.98/0.92 ((~hskp6) | c2_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1110, 1109])).
% 0.98/0.92 tff(1112,plain,
% 0.98/0.92 ((~hskp6) | c2_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1111, 1109])).
% 0.98/0.92 tff(1113,plain,
% 0.98/0.92 ((~hskp6) | c2_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1112, 1109])).
% 0.98/0.92 tff(1114,plain,
% 0.98/0.92 ((~hskp6) | c2_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1113, 1109])).
% 0.98/0.92 tff(1115,plain,
% 0.98/0.92 ((~hskp6) | c2_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1114, 1109])).
% 0.98/0.92 tff(1116,plain,
% 0.98/0.92 ((~hskp6) | c2_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1115, 1109])).
% 0.98/0.92 tff(1117,plain,
% 0.98/0.92 ((~hskp6) | c2_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1116, 1109])).
% 0.98/0.92 tff(1118,plain,
% 0.98/0.92 ((~hskp6) | c2_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1117, 1109])).
% 0.98/0.92 tff(1119,plain,
% 0.98/0.92 (c2_1(a273)),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[1118, 1102])).
% 0.98/0.92 tff(1120,plain,
% 0.98/0.92 (((~hskp6) | c1_1(a273)) <=> ((~hskp6) | c1_1(a273))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1121,axiom,((~hskp6) | c1_1(a273)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause80')).
% 0.98/0.92 tff(1122,plain,
% 0.98/0.92 ((~hskp6) | c1_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1121, 1120])).
% 0.98/0.92 tff(1123,plain,
% 0.98/0.92 ((~hskp6) | c1_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1122, 1120])).
% 0.98/0.92 tff(1124,plain,
% 0.98/0.92 ((~hskp6) | c1_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1123, 1120])).
% 0.98/0.92 tff(1125,plain,
% 0.98/0.92 ((~hskp6) | c1_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1124, 1120])).
% 0.98/0.92 tff(1126,plain,
% 0.98/0.92 ((~hskp6) | c1_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1125, 1120])).
% 0.98/0.92 tff(1127,plain,
% 0.98/0.92 ((~hskp6) | c1_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1126, 1120])).
% 0.98/0.92 tff(1128,plain,
% 0.98/0.92 ((~hskp6) | c1_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1127, 1120])).
% 0.98/0.92 tff(1129,plain,
% 0.98/0.92 ((~hskp6) | c1_1(a273)),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1128, 1120])).
% 0.98/0.92 tff(1130,plain,
% 0.98/0.92 (c1_1(a273)),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[1129, 1102])).
% 0.98/0.92 tff(1131,plain,
% 0.98/0.92 (((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | (c3_1(a274) | c0_1(a273) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274)))) <=> ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | c3_1(a274) | c0_1(a273) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274)))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1132,plain,
% 0.98/0.92 (((~ndr1_0) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a272) | c1_1(a272) | (~c0_1(a272)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273))) <=> (c3_1(a274) | c0_1(a273) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274)))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1133,plain,
% 0.98/0.92 (((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a272) | c1_1(a272) | (~c0_1(a272)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273)))) <=> ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | (c3_1(a274) | c0_1(a273) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274))))),
% 0.98/0.92 inference(monotonicity,[status(thm)],[1132])).
% 0.98/0.92 tff(1134,plain,
% 0.98/0.92 (((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a272) | c1_1(a272) | (~c0_1(a272)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273)))) <=> ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | c3_1(a274) | c0_1(a273) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274)))),
% 0.98/0.92 inference(transitivity,[status(thm)],[1133, 1131])).
% 0.98/0.92 tff(1135,plain,
% 0.98/0.92 ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a272) | c1_1(a272) | (~c0_1(a272)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273)))),
% 0.98/0.92 inference(quant_inst,[status(thm)],[])).
% 0.98/0.92 tff(1136,plain,
% 0.98/0.92 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | c3_1(a274) | c0_1(a273) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1135, 1134])).
% 0.98/0.92 tff(1137,plain,
% 0.98/0.92 ($false),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[1136, 154, 444, 1130, 1119, 658, 442, 1108, 659, 764, 1101, 1091])).
% 0.98/0.92 tff(1138,plain,((~hskp6) | (~c0_1(a274)) | (~c0_1(a272)) | c3_1(a274) | c1_1(a272) | c3_1(a272) | (~c2_1(a274))), inference(lemma,lemma(discharge,[]))).
% 0.98/0.92 tff(1139,plain,
% 0.98/0.92 (~hskp6),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[1138, 1069, 653, 928, 642, 636, 927])).
% 0.98/0.92 tff(1140,assumption,(~c0_1(a298)), introduced(assumption)).
% 0.98/0.92 tff(1141,plain,
% 0.98/0.92 (hskp9 | c0_1(a298)),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[718, 154, 672, 670, 228])).
% 0.98/0.92 tff(1142,plain,
% 0.98/0.92 (hskp9),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[1141, 1140])).
% 0.98/0.92 tff(1143,plain,
% 0.98/0.92 (~c1_1(a280)),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[251, 1142])).
% 0.98/0.92 tff(1144,plain,
% 0.98/0.92 (c3_1(a280)),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[262, 1142])).
% 0.98/0.92 tff(1145,plain,
% 0.98/0.92 (~c0_1(a280)),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[727, 154, 43, 672, 671, 1144, 1143, 218, 1140])).
% 0.98/0.92 tff(1146,assumption,(~hskp6), introduced(assumption)).
% 0.98/0.92 tff(1147,plain,
% 0.98/0.92 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | c1_1(a280) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | c0_1(a280) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp6 | c1_1(a280) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | c0_1(a280) | (~c3_1(a280)))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1148,plain,
% 0.98/0.92 ((hskp6 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a280) | c0_1(a280) | (~c3_1(a280))) <=> (hskp6 | c1_1(a280) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | c0_1(a280) | (~c3_1(a280)))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1149,plain,
% 0.98/0.92 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a280) | c0_1(a280) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | c1_1(a280) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | c0_1(a280) | (~c3_1(a280))))),
% 0.98/0.92 inference(monotonicity,[status(thm)],[1148])).
% 0.98/0.92 tff(1150,plain,
% 0.98/0.92 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a280) | c0_1(a280) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp6 | c1_1(a280) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | c0_1(a280) | (~c3_1(a280)))),
% 0.98/0.92 inference(transitivity,[status(thm)],[1149, 1147])).
% 0.98/0.92 tff(1151,plain,
% 0.98/0.92 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a280) | c0_1(a280) | (~c3_1(a280)))),
% 0.98/0.92 inference(quant_inst,[status(thm)],[])).
% 0.98/0.92 tff(1152,plain,
% 0.98/0.92 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp6 | c1_1(a280) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | c0_1(a280) | (~c3_1(a280))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1151, 1150])).
% 0.98/0.92 tff(1153,plain,
% 0.98/0.92 ($false),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[1152, 154, 1146, 1144, 444, 443, 1143, 1079, 1145, 1091])).
% 0.98/0.92 tff(1154,plain,(c0_1(a298) | hskp6 | (~c0_1(a274)) | (~c1_1(a274)) | (~c2_1(a274)) | hskp16 | (~c1_1(a298)) | (~c3_1(a298)) | c2_1(a298)), inference(lemma,lemma(discharge,[]))).
% 0.98/0.92 tff(1155,plain,
% 0.98/0.92 (c0_1(a298)),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[1154, 1139, 927, 929, 1069, 43, 1090, 1089, 1088])).
% 0.98/0.92 tff(1156,plain,
% 0.98/0.92 (^[V: $i, U: $i] : refl((hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V))) <=> (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V))))),
% 0.98/0.92 inference(bind,[status(th)],[])).
% 0.98/0.92 tff(1157,plain,
% 0.98/0.92 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))),
% 0.98/0.92 inference(quant_intro,[status(thm)],[1156])).
% 0.98/0.92 tff(1158,plain,
% 0.98/0.92 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1159,plain,
% 0.98/0.92 (^[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)) | (~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(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c3_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_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(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~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(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c3_1(V)) | hskp0) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V))) | hskp0))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V))) | hskp0) <=> (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c3_1(V)) | hskp0) <=> (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))))),
% 0.98/0.92 inference(bind,[status(th)],[])).
% 0.98/0.92 tff(1160,plain,
% 0.98/0.92 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c3_1(V)) | hskp0) <=> ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))),
% 0.98/0.92 inference(quant_intro,[status(thm)],[1159])).
% 0.98/0.92 tff(1161,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c3_1(V)) | hskp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause175')).
% 0.98/0.92 tff(1162,plain,
% 0.98/0.92 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1161, 1160])).
% 0.98/0.92 tff(1163,plain,
% 0.98/0.92 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1162, 1158])).
% 0.98/0.92 tff(1164,plain,(
% 0.98/0.92 ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))),
% 0.98/0.92 inference(skolemize,[status(sab)],[1163])).
% 0.98/0.92 tff(1165,plain,
% 0.98/0.92 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1164, 1157])).
% 0.98/0.92 tff(1166,plain,
% 0.98/0.92 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | (hskp0 | c3_1(a274) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | hskp0 | c3_1(a274) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1167,plain,
% 0.98/0.92 ((hskp0 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274))) <=> (hskp0 | c3_1(a274) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1168,plain,
% 0.98/0.92 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | (hskp0 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | (hskp0 | c3_1(a274) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274))))),
% 0.98/0.92 inference(monotonicity,[status(thm)],[1167])).
% 0.98/0.92 tff(1169,plain,
% 0.98/0.92 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | (hskp0 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | hskp0 | c3_1(a274) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)))),
% 0.98/0.92 inference(transitivity,[status(thm)],[1168, 1166])).
% 0.98/0.92 tff(1170,plain,
% 0.98/0.92 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | (hskp0 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274)))),
% 0.98/0.92 inference(quant_inst,[status(thm)],[])).
% 0.98/0.92 tff(1171,plain,
% 0.98/0.92 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | hskp0 | c3_1(a274) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1170, 1169])).
% 0.98/0.92 tff(1172,plain,
% 0.98/0.92 (hskp0 | (~c2_1(a274))),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[1171, 154, 927, 929, 928, 1165])).
% 0.98/0.92 tff(1173,plain,
% 0.98/0.92 (hskp0),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[1172, 1069])).
% 0.98/0.92 tff(1174,plain,
% 0.98/0.92 (((~hskp0) | (~c3_1(a267))) <=> ((~hskp0) | (~c3_1(a267)))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1175,plain,
% 0.98/0.92 (((~c3_1(a267)) | (~hskp0)) <=> ((~hskp0) | (~c3_1(a267)))),
% 0.98/0.92 inference(rewrite,[status(thm)],[])).
% 0.98/0.92 tff(1176,axiom,((~c3_1(a267)) | (~hskp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause134')).
% 0.98/0.92 tff(1177,plain,
% 0.98/0.92 ((~hskp0) | (~c3_1(a267))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1176, 1175])).
% 0.98/0.92 tff(1178,plain,
% 0.98/0.92 ((~hskp0) | (~c3_1(a267))),
% 0.98/0.92 inference(modus_ponens,[status(thm)],[1177, 1174])).
% 0.98/0.92 tff(1179,plain,
% 0.98/0.92 (~c3_1(a267)),
% 0.98/0.92 inference(unit_resolution,[status(thm)],[1178, 1173])).
% 0.98/0.93 tff(1180,plain,
% 0.98/0.93 (((~hskp0) | (~c2_1(a267))) <=> ((~hskp0) | (~c2_1(a267)))),
% 0.98/0.93 inference(rewrite,[status(thm)],[])).
% 0.98/0.93 tff(1181,plain,
% 0.98/0.93 (((~c2_1(a267)) | (~hskp0)) <=> ((~hskp0) | (~c2_1(a267)))),
% 0.98/0.93 inference(rewrite,[status(thm)],[])).
% 0.98/0.93 tff(1182,axiom,((~c2_1(a267)) | (~hskp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause133')).
% 0.98/0.93 tff(1183,plain,
% 0.98/0.93 ((~hskp0) | (~c2_1(a267))),
% 0.98/0.93 inference(modus_ponens,[status(thm)],[1182, 1181])).
% 0.98/0.93 tff(1184,plain,
% 0.98/0.93 ((~hskp0) | (~c2_1(a267))),
% 0.98/0.93 inference(modus_ponens,[status(thm)],[1183, 1180])).
% 0.98/0.93 tff(1185,plain,
% 0.98/0.93 (~c2_1(a267)),
% 0.98/0.93 inference(unit_resolution,[status(thm)],[1184, 1173])).
% 0.98/0.93 tff(1186,plain,
% 0.98/0.93 (((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)))) <=> ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp18 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)))),
% 0.98/0.93 inference(rewrite,[status(thm)],[])).
% 0.98/0.93 tff(1187,plain,
% 0.98/0.93 ((hskp18 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269))) <=> (hskp18 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)))),
% 0.98/0.93 inference(rewrite,[status(thm)],[])).
% 0.98/0.93 tff(1188,plain,
% 0.98/0.93 (((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269)))) <=> ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278))))),
% 0.98/0.93 inference(monotonicity,[status(thm)],[1187])).
% 0.98/0.93 tff(1189,plain,
% 0.98/0.93 (((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269)))) <=> ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp18 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)))),
% 0.98/0.93 inference(transitivity,[status(thm)],[1188, 1186])).
% 0.98/0.93 tff(1190,plain,
% 0.98/0.93 ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269)))),
% 0.98/0.93 inference(quant_inst,[status(thm)],[])).
% 0.98/0.93 tff(1191,plain,
% 0.98/0.93 ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp18 | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278))),
% 0.98/0.93 inference(modus_ponens,[status(thm)],[1190, 1189])).
% 0.98/0.93 tff(1192,plain,
% 0.98/0.93 (hskp18),
% 0.98/0.93 inference(unit_resolution,[status(thm)],[1191, 154, 474, 463, 1060, 765, 30, 569, 498])).
% 0.98/0.93 tff(1193,plain,
% 0.98/0.93 (~c2_1(a298)),
% 0.98/0.93 inference(unit_resolution,[status(thm)],[584, 1192])).
% 0.98/0.93 tff(1194,plain,
% 0.98/0.93 (c3_1(a298)),
% 0.98/0.93 inference(unit_resolution,[status(thm)],[595, 1192])).
% 0.98/0.93 tff(1195,plain,
% 0.98/0.93 (c1_1(a298)),
% 0.98/0.93 inference(unit_resolution,[status(thm)],[606, 1192])).
% 0.98/0.93 tff(1196,plain,
% 0.98/0.93 ($false),
% 0.98/0.93 inference(unit_resolution,[status(thm)],[991, 154, 31, 474, 463, 485, 1195, 1194, 1193, 42])).
% 0.98/0.93 tff(1197,plain,(hskp23 | (~c0_1(a269)) | c1_1(a269) | c2_1(a269) | (~c0_1(a274)) | (~c1_1(a274)) | c3_1(a274)), inference(lemma,lemma(discharge,[]))).
% 0.98/0.93 tff(1198,plain,
% 0.98/0.93 (hskp23),
% 0.98/0.93 inference(unit_resolution,[status(thm)],[1197, 765, 1059, 30, 927, 929, 928])).
% 0.98/0.93 tff(1199,plain,
% 0.98/0.93 (~c3_1(a313)),
% 0.98/0.93 inference(unit_resolution,[status(thm)],[16, 1198])).
% 0.98/0.93 tff(1200,plain,
% 0.98/0.93 (~c2_1(a313)),
% 0.98/0.93 inference(unit_resolution,[status(thm)],[22, 1198])).
% 0.98/0.93 tff(1201,plain,
% 0.98/0.93 (~c1_1(a313)),
% 0.98/0.93 inference(unit_resolution,[status(thm)],[28, 1198])).
% 0.98/0.93 tff(1202,assumption,(c0_1(a298)), introduced(assumption)).
% 0.98/0.93 tff(1203,assumption,(hskp14), introduced(assumption)).
% 0.98/0.93 tff(1204,plain,
% 0.98/0.93 (~c2_1(a287)),
% 0.98/0.93 inference(unit_resolution,[status(thm)],[194, 1203])).
% 0.98/0.93 tff(1205,plain,
% 0.98/0.93 (~c0_1(a287)),
% 0.98/0.93 inference(unit_resolution,[status(thm)],[200, 1203])).
% 0.98/0.93 tff(1206,plain,
% 0.98/0.93 (c1_1(a287)),
% 0.98/0.93 inference(unit_resolution,[status(thm)],[238, 1203])).
% 0.98/0.93 tff(1207,plain,
% 0.98/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)) | (~c1_1(a298)) | (~c0_1(a298)) | (~c3_1(a298)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)) | (~c1_1(a298)) | (~c0_1(a298)) | (~c3_1(a298)))),
% 0.98/0.93 inference(rewrite,[status(thm)],[])).
% 0.98/0.93 tff(1208,plain,
% 0.98/0.93 (((~ndr1_0) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a298)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287))) <=> (c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)) | (~c1_1(a298)) | (~c0_1(a298)) | (~c3_1(a298)))),
% 0.98/0.93 inference(rewrite,[status(thm)],[])).
% 0.98/0.93 tff(1209,plain,
% 0.98/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a298)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)) | (~c1_1(a298)) | (~c0_1(a298)) | (~c3_1(a298))))),
% 0.98/0.93 inference(monotonicity,[status(thm)],[1208])).
% 0.98/0.93 tff(1210,plain,
% 0.98/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a298)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)) | (~c1_1(a298)) | (~c0_1(a298)) | (~c3_1(a298)))),
% 0.98/0.93 inference(transitivity,[status(thm)],[1209, 1207])).
% 0.98/0.93 tff(1211,plain,
% 0.98/0.93 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a298)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287)))),
% 0.98/0.93 inference(quant_inst,[status(thm)],[])).
% 0.98/0.93 tff(1212,plain,
% 0.98/0.93 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)) | (~c1_1(a298)) | (~c0_1(a298)) | (~c3_1(a298))),
% 0.98/0.93 inference(modus_ponens,[status(thm)],[1211, 1210])).
% 0.98/0.93 tff(1213,plain,
% 0.98/0.93 (~c3_1(a287)),
% 0.98/0.93 inference(unit_resolution,[status(thm)],[1212, 154, 672, 671, 1206, 1205, 1204, 763, 1202])).
% 0.98/0.93 tff(1214,plain,
% 0.98/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | c3_1(a287) | (~c0_1(a313)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | c3_1(a287) | (~c0_1(a313)))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1215,plain,
% 1.04/0.93 (((~ndr1_0) | c2_1(a287) | (~c1_1(a287)) | c3_1(a287) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313))) <=> (c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | c3_1(a287) | (~c0_1(a313)))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1216,plain,
% 1.04/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a287) | (~c1_1(a287)) | c3_1(a287) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | c3_1(a287) | (~c0_1(a313))))),
% 1.04/0.93 inference(monotonicity,[status(thm)],[1215])).
% 1.04/0.93 tff(1217,plain,
% 1.04/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a287) | (~c1_1(a287)) | c3_1(a287) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | c3_1(a287) | (~c0_1(a313)))),
% 1.04/0.93 inference(transitivity,[status(thm)],[1216, 1214])).
% 1.04/0.93 tff(1218,plain,
% 1.04/0.93 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a287) | (~c1_1(a287)) | c3_1(a287) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313)))),
% 1.04/0.93 inference(quant_inst,[status(thm)],[])).
% 1.04/0.93 tff(1219,plain,
% 1.04/0.93 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | c3_1(a287) | (~c0_1(a313))),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1218, 1217])).
% 1.04/0.93 tff(1220,plain,
% 1.04/0.93 ($false),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1219, 154, 1206, 550, 549, 548, 1204, 547, 536, 1213])).
% 1.04/0.93 tff(1221,plain,((~hskp14) | c1_1(a313) | c2_1(a313) | c3_1(a313) | (~c0_1(a313)) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a298))), inference(lemma,lemma(discharge,[]))).
% 1.04/0.93 tff(1222,plain,
% 1.04/0.93 (~hskp14),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1221, 1202, 549, 548, 536, 672, 671, 550])).
% 1.04/0.93 tff(1223,plain,
% 1.04/0.93 ((hskp30 | hskp17 | hskp14) <=> (hskp30 | hskp17 | hskp14)),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1224,plain,
% 1.04/0.93 (((hskp30 | hskp14) | hskp17) <=> (hskp30 | hskp17 | hskp14)),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1225,plain,
% 1.04/0.93 ((hskp30 | hskp14) <=> (hskp30 | hskp14)),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1226,plain,
% 1.04/0.93 (((hskp30 | hskp14) | hskp17) <=> ((hskp30 | hskp14) | hskp17)),
% 1.04/0.93 inference(monotonicity,[status(thm)],[1225])).
% 1.04/0.93 tff(1227,plain,
% 1.04/0.93 (((hskp30 | hskp14) | hskp17) <=> (hskp30 | hskp17 | hskp14)),
% 1.04/0.93 inference(transitivity,[status(thm)],[1226, 1224])).
% 1.04/0.93 tff(1228,axiom,((hskp30 | hskp14) | hskp17), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause36')).
% 1.04/0.93 tff(1229,plain,
% 1.04/0.93 (hskp30 | hskp17 | hskp14),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1228, 1227])).
% 1.04/0.93 tff(1230,plain,
% 1.04/0.93 (hskp30 | hskp17 | hskp14),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1229, 1223])).
% 1.04/0.93 tff(1231,plain,
% 1.04/0.93 (hskp30 | hskp17 | hskp14),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1230, 1223])).
% 1.04/0.93 tff(1232,plain,
% 1.04/0.93 (hskp30 | hskp17 | hskp14),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1231, 1223])).
% 1.04/0.93 tff(1233,plain,
% 1.04/0.93 (hskp30 | hskp17 | hskp14),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1232, 1223])).
% 1.04/0.93 tff(1234,plain,
% 1.04/0.93 (hskp30 | hskp17 | hskp14),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1233, 1223])).
% 1.04/0.93 tff(1235,plain,
% 1.04/0.93 (hskp30 | hskp17 | hskp14),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1234, 1223])).
% 1.04/0.93 tff(1236,plain,
% 1.04/0.93 (hskp30 | hskp17 | hskp14),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1235, 1223])).
% 1.04/0.93 tff(1237,plain,
% 1.04/0.93 (hskp17),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1236, 1222, 629])).
% 1.04/0.93 tff(1238,plain,
% 1.04/0.93 (((~hskp17) | (~c1_1(a295))) <=> ((~hskp17) | (~c1_1(a295)))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1239,plain,
% 1.04/0.93 (((~c1_1(a295)) | (~hskp17)) <=> ((~hskp17) | (~c1_1(a295)))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1240,axiom,((~c1_1(a295)) | (~hskp17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause105')).
% 1.04/0.93 tff(1241,plain,
% 1.04/0.93 ((~hskp17) | (~c1_1(a295))),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1240, 1239])).
% 1.04/0.93 tff(1242,plain,
% 1.04/0.93 ((~hskp17) | (~c1_1(a295))),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1241, 1238])).
% 1.04/0.93 tff(1243,plain,
% 1.04/0.93 (~c1_1(a295)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1242, 1237])).
% 1.04/0.93 tff(1244,plain,
% 1.04/0.93 (((~hskp17) | c3_1(a295)) <=> ((~hskp17) | c3_1(a295))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1245,axiom,((~hskp17) | c3_1(a295)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause65')).
% 1.04/0.93 tff(1246,plain,
% 1.04/0.93 ((~hskp17) | c3_1(a295)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1245, 1244])).
% 1.04/0.93 tff(1247,plain,
% 1.04/0.93 ((~hskp17) | c3_1(a295)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1246, 1244])).
% 1.04/0.93 tff(1248,plain,
% 1.04/0.93 ((~hskp17) | c3_1(a295)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1247, 1244])).
% 1.04/0.93 tff(1249,plain,
% 1.04/0.93 ((~hskp17) | c3_1(a295)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1248, 1244])).
% 1.04/0.93 tff(1250,plain,
% 1.04/0.93 ((~hskp17) | c3_1(a295)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1249, 1244])).
% 1.04/0.93 tff(1251,plain,
% 1.04/0.93 ((~hskp17) | c3_1(a295)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1250, 1244])).
% 1.04/0.93 tff(1252,plain,
% 1.04/0.93 ((~hskp17) | c3_1(a295)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1251, 1244])).
% 1.04/0.93 tff(1253,plain,
% 1.04/0.93 ((~hskp17) | c3_1(a295)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1252, 1244])).
% 1.04/0.93 tff(1254,plain,
% 1.04/0.93 (c3_1(a295)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1253, 1237])).
% 1.04/0.93 tff(1255,plain,
% 1.04/0.93 (((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | c1_1(a295) | (~ndr1_0) | c2_1(a295) | (~c3_1(a295)))) <=> ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp8 | c1_1(a295) | (~ndr1_0) | c2_1(a295) | (~c3_1(a295)))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1256,plain,
% 1.04/0.93 ((hskp8 | (~ndr1_0) | c2_1(a295) | c1_1(a295) | (~c3_1(a295))) <=> (hskp8 | c1_1(a295) | (~ndr1_0) | c2_1(a295) | (~c3_1(a295)))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1257,plain,
% 1.04/0.93 (((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | (~ndr1_0) | c2_1(a295) | c1_1(a295) | (~c3_1(a295)))) <=> ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | c1_1(a295) | (~ndr1_0) | c2_1(a295) | (~c3_1(a295))))),
% 1.04/0.93 inference(monotonicity,[status(thm)],[1256])).
% 1.04/0.93 tff(1258,plain,
% 1.04/0.93 (((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | (~ndr1_0) | c2_1(a295) | c1_1(a295) | (~c3_1(a295)))) <=> ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp8 | c1_1(a295) | (~ndr1_0) | c2_1(a295) | (~c3_1(a295)))),
% 1.04/0.93 inference(transitivity,[status(thm)],[1257, 1255])).
% 1.04/0.93 tff(1259,plain,
% 1.04/0.93 ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp8 | (~ndr1_0) | c2_1(a295) | c1_1(a295) | (~c3_1(a295)))),
% 1.04/0.93 inference(quant_inst,[status(thm)],[])).
% 1.04/0.93 tff(1260,plain,
% 1.04/0.93 ((~![U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)))) | hskp8 | c1_1(a295) | (~ndr1_0) | c2_1(a295) | (~c3_1(a295))),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1259, 1258])).
% 1.04/0.93 tff(1261,plain,
% 1.04/0.93 (c2_1(a295)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1260, 154, 32, 1254, 1243, 113])).
% 1.04/0.93 tff(1262,plain,
% 1.04/0.93 (^[V: $i, U: $i] : refl((hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V))) <=> (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V))))),
% 1.04/0.93 inference(bind,[status(th)],[])).
% 1.04/0.93 tff(1263,plain,
% 1.04/0.93 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 1.04/0.93 inference(quant_intro,[status(thm)],[1262])).
% 1.04/0.93 tff(1264,plain,
% 1.04/0.93 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1265,plain,
% 1.04/0.93 (^[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)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c2_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c2_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)) | (~c2_1(V))) | (~c3_1(V))) | c2_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c2_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)) | (~c2_1(V))) | (~c3_1(V))) | c2_1(U)) | c1_1(V)) | hskp8) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V))) | hskp8))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V))) | hskp8) <=> (hskp8 | (~ndr1_0) | c2_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)) | (~c2_1(V))) | (~c3_1(V))) | c2_1(U)) | c1_1(V)) | hskp8) <=> (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))))),
% 1.04/0.93 inference(bind,[status(th)],[])).
% 1.04/0.93 tff(1266,plain,
% 1.04/0.93 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c2_1(U)) | c1_1(V)) | hskp8) <=> ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 1.04/0.93 inference(quant_intro,[status(thm)],[1265])).
% 1.04/0.93 tff(1267,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c2_1(U)) | c1_1(V)) | hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause172')).
% 1.04/0.93 tff(1268,plain,
% 1.04/0.93 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1267, 1266])).
% 1.04/0.93 tff(1269,plain,
% 1.04/0.93 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1268, 1264])).
% 1.04/0.93 tff(1270,plain,(
% 1.04/0.93 ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 1.04/0.93 inference(skolemize,[status(sab)],[1269])).
% 1.04/0.93 tff(1271,plain,
% 1.04/0.93 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1270, 1263])).
% 1.04/0.93 tff(1272,plain,
% 1.04/0.93 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | c2_1(a298) | c1_1(a295) | (~ndr1_0) | (~c2_1(a295)) | (~c3_1(a295)) | (~c1_1(a298)) | (~c0_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c2_1(a298) | c1_1(a295) | (~ndr1_0) | (~c2_1(a295)) | (~c3_1(a295)) | (~c1_1(a298)) | (~c0_1(a298)))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1273,plain,
% 1.04/0.93 ((hskp8 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c0_1(a298)) | c1_1(a295) | (~c2_1(a295)) | (~c3_1(a295))) <=> (hskp8 | c2_1(a298) | c1_1(a295) | (~ndr1_0) | (~c2_1(a295)) | (~c3_1(a295)) | (~c1_1(a298)) | (~c0_1(a298)))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1274,plain,
% 1.04/0.93 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c0_1(a298)) | c1_1(a295) | (~c2_1(a295)) | (~c3_1(a295)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | c2_1(a298) | c1_1(a295) | (~ndr1_0) | (~c2_1(a295)) | (~c3_1(a295)) | (~c1_1(a298)) | (~c0_1(a298))))),
% 1.04/0.93 inference(monotonicity,[status(thm)],[1273])).
% 1.04/0.93 tff(1275,plain,
% 1.04/0.93 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c0_1(a298)) | c1_1(a295) | (~c2_1(a295)) | (~c3_1(a295)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c2_1(a298) | c1_1(a295) | (~ndr1_0) | (~c2_1(a295)) | (~c3_1(a295)) | (~c1_1(a298)) | (~c0_1(a298)))),
% 1.04/0.93 inference(transitivity,[status(thm)],[1274, 1272])).
% 1.04/0.93 tff(1276,plain,
% 1.04/0.93 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c0_1(a298)) | c1_1(a295) | (~c2_1(a295)) | (~c3_1(a295)))),
% 1.04/0.93 inference(quant_inst,[status(thm)],[])).
% 1.04/0.93 tff(1277,plain,
% 1.04/0.93 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c2_1(a298) | c1_1(a295) | (~ndr1_0) | (~c2_1(a295)) | (~c3_1(a295)) | (~c1_1(a298)) | (~c0_1(a298))),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1276, 1275])).
% 1.04/0.93 tff(1278,plain,
% 1.04/0.93 ($false),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1277, 154, 32, 672, 1254, 670, 1243, 1271, 1202, 1261])).
% 1.04/0.93 tff(1279,plain,((~c0_1(a298)) | hskp8 | (~c1_1(a298)) | c2_1(a298) | hskp30 | c2_1(a313) | c3_1(a313) | (~c0_1(a313)) | (~c3_1(a298)) | c1_1(a313)), inference(lemma,lemma(discharge,[]))).
% 1.04/0.93 tff(1280,plain,
% 1.04/0.93 (~c0_1(a313)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1279, 32, 672, 670, 629, 549, 548, 671, 1202, 550])).
% 1.04/0.93 tff(1281,assumption,(hskp17), introduced(assumption)).
% 1.04/0.93 tff(1282,plain,
% 1.04/0.93 (~c1_1(a295)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1242, 1281])).
% 1.04/0.93 tff(1283,plain,
% 1.04/0.93 (c3_1(a295)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1253, 1281])).
% 1.04/0.93 tff(1284,plain,
% 1.04/0.93 (c2_1(a295)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1260, 154, 32, 1283, 1282, 113])).
% 1.04/0.93 tff(1285,plain,
% 1.04/0.93 ($false),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1277, 154, 32, 672, 1283, 670, 1282, 1271, 1202, 1284])).
% 1.04/0.93 tff(1286,plain,((~hskp17) | hskp8 | (~c1_1(a298)) | c2_1(a298) | (~c0_1(a298))), inference(lemma,lemma(discharge,[]))).
% 1.04/0.93 tff(1287,plain,
% 1.04/0.93 (~hskp17),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1286, 1202, 672, 670, 32])).
% 1.04/0.93 tff(1288,plain,
% 1.04/0.93 (hskp14),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1236, 1287, 629])).
% 1.04/0.93 tff(1289,plain,
% 1.04/0.93 (~c2_1(a287)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[194, 1288])).
% 1.04/0.93 tff(1290,plain,
% 1.04/0.93 (~c0_1(a287)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[200, 1288])).
% 1.04/0.93 tff(1291,plain,
% 1.04/0.93 (c1_1(a287)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[238, 1288])).
% 1.04/0.93 tff(1292,plain,
% 1.04/0.93 (~c3_1(a287)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1212, 154, 672, 671, 1291, 1290, 1289, 763, 1202])).
% 1.04/0.93 tff(1293,plain,
% 1.04/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c2_1(a287) | c3_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | c2_1(a272) | (~c0_1(a272)) | (~c1_1(a287)) | c3_1(a287))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a287) | c3_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | c2_1(a272) | (~c0_1(a272)) | (~c1_1(a287)) | c3_1(a287))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1294,plain,
% 1.04/0.93 (((~ndr1_0) | c2_1(a287) | (~c1_1(a287)) | c3_1(a287) | c3_1(a272) | c2_1(a272) | (~c0_1(a272)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269))) <=> (c2_1(a287) | c3_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | c2_1(a272) | (~c0_1(a272)) | (~c1_1(a287)) | c3_1(a287))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1295,plain,
% 1.04/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a287) | (~c1_1(a287)) | c3_1(a287) | c3_1(a272) | c2_1(a272) | (~c0_1(a272)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c2_1(a287) | c3_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | c2_1(a272) | (~c0_1(a272)) | (~c1_1(a287)) | c3_1(a287)))),
% 1.04/0.93 inference(monotonicity,[status(thm)],[1294])).
% 1.04/0.93 tff(1296,plain,
% 1.04/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a287) | (~c1_1(a287)) | c3_1(a287) | c3_1(a272) | c2_1(a272) | (~c0_1(a272)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a287) | c3_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | c2_1(a272) | (~c0_1(a272)) | (~c1_1(a287)) | c3_1(a287))),
% 1.04/0.93 inference(transitivity,[status(thm)],[1295, 1293])).
% 1.04/0.93 tff(1297,plain,
% 1.04/0.93 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a287) | (~c1_1(a287)) | c3_1(a287) | c3_1(a272) | c2_1(a272) | (~c0_1(a272)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))),
% 1.04/0.93 inference(quant_inst,[status(thm)],[])).
% 1.04/0.93 tff(1298,plain,
% 1.04/0.93 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a287) | c3_1(a272) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | c2_1(a272) | (~c0_1(a272)) | (~c1_1(a287)) | c3_1(a287)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1297, 1296])).
% 1.04/0.93 tff(1299,plain,
% 1.04/0.93 ($false),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1298, 154, 1291, 658, 1060, 1289, 764, 765, 30, 547, 975, 1292])).
% 1.04/0.93 tff(1300,plain,((~c0_1(a298)) | (~c0_1(a272)) | (~c0_1(a269)) | c3_1(a272) | c1_1(a269) | c2_1(a269) | c2_1(a272) | (~c1_1(a298)) | (~c3_1(a298)) | hskp30 | c2_1(a298) | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.04/0.93 tff(1301,plain,
% 1.04/0.93 (c2_1(a272)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1300, 32, 1060, 764, 765, 30, 658, 672, 671, 629, 670, 1202])).
% 1.04/0.93 tff(1302,plain,
% 1.04/0.93 ((~c2_1(a272)) | c0_1(a313)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[702, 154, 658, 550, 549, 548, 659, 696])).
% 1.04/0.93 tff(1303,plain,
% 1.04/0.93 ($false),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1302, 1301, 1280])).
% 1.04/0.93 tff(1304,plain,(hskp8 | (~c0_1(a272)) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a272) | (~c0_1(a269)) | c3_1(a272) | c1_1(a269) | c2_1(a269) | (~c1_1(a298)) | (~c3_1(a298)) | hskp30 | c2_1(a298) | (~c0_1(a298))), inference(lemma,lemma(discharge,[]))).
% 1.04/0.93 tff(1305,plain,
% 1.04/0.93 (hskp8),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1304, 1201, 653, 1200, 1199, 642, 1059, 636, 765, 30, 1090, 1089, 629, 1088, 1155])).
% 1.04/0.93 tff(1306,plain,
% 1.04/0.93 (~c3_1(a275)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[398, 1305])).
% 1.04/0.93 tff(1307,plain,
% 1.04/0.93 (~c2_1(a275)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[404, 1305])).
% 1.04/0.93 tff(1308,plain,
% 1.04/0.93 (((~hskp0) | c0_1(a267)) <=> ((~hskp0) | c0_1(a267))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1309,axiom,((~hskp0) | c0_1(a267)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause87')).
% 1.04/0.93 tff(1310,plain,
% 1.04/0.93 ((~hskp0) | c0_1(a267)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1309, 1308])).
% 1.04/0.93 tff(1311,plain,
% 1.04/0.93 ((~hskp0) | c0_1(a267)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1310, 1308])).
% 1.04/0.93 tff(1312,plain,
% 1.04/0.93 ((~hskp0) | c0_1(a267)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1311, 1308])).
% 1.04/0.93 tff(1313,plain,
% 1.04/0.93 ((~hskp0) | c0_1(a267)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1312, 1308])).
% 1.04/0.93 tff(1314,plain,
% 1.04/0.93 ((~hskp0) | c0_1(a267)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1313, 1308])).
% 1.04/0.93 tff(1315,plain,
% 1.04/0.93 ((~hskp0) | c0_1(a267)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1314, 1308])).
% 1.04/0.93 tff(1316,plain,
% 1.04/0.93 ((~hskp0) | c0_1(a267)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1315, 1308])).
% 1.04/0.93 tff(1317,plain,
% 1.04/0.93 ((~hskp0) | c0_1(a267)),
% 1.04/0.93 inference(modus_ponens,[status(thm)],[1316, 1308])).
% 1.04/0.93 tff(1318,plain,
% 1.04/0.93 (c0_1(a267)),
% 1.04/0.93 inference(unit_resolution,[status(thm)],[1317, 1173])).
% 1.04/0.93 tff(1319,plain,
% 1.04/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c2_1(a275) | c3_1(a275) | c1_1(a269) | c2_1(a269) | c2_1(a267) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c0_1(a269)) | (~c1_1(a275)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a275) | c3_1(a275) | c1_1(a269) | c2_1(a269) | c2_1(a267) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c0_1(a269)) | (~c1_1(a275)))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1320,plain,
% 1.04/0.93 (((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a267) | c2_1(a267) | (~c0_1(a267)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269))) <=> (c2_1(a275) | c3_1(a275) | c1_1(a269) | c2_1(a269) | c2_1(a267) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c0_1(a269)) | (~c1_1(a275)))),
% 1.04/0.93 inference(rewrite,[status(thm)],[])).
% 1.04/0.93 tff(1321,plain,
% 1.04/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a267) | c2_1(a267) | (~c0_1(a267)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c2_1(a275) | c3_1(a275) | c1_1(a269) | c2_1(a269) | c2_1(a267) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c0_1(a269)) | (~c1_1(a275))))),
% 1.04/0.93 inference(monotonicity,[status(thm)],[1320])).
% 1.04/0.93 tff(1322,plain,
% 1.04/0.93 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a267) | c2_1(a267) | (~c0_1(a267)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a275) | c3_1(a275) | c1_1(a269) | c2_1(a269) | c2_1(a267) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c0_1(a269)) | (~c1_1(a275)))),
% 1.04/0.94 inference(transitivity,[status(thm)],[1321, 1319])).
% 1.04/0.94 tff(1323,plain,
% 1.04/0.94 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a267) | c2_1(a267) | (~c0_1(a267)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))),
% 1.04/0.94 inference(quant_inst,[status(thm)],[])).
% 1.04/0.94 tff(1324,plain,
% 1.04/0.94 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a275) | c3_1(a275) | c1_1(a269) | c2_1(a269) | c2_1(a267) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c0_1(a269)) | (~c1_1(a275))),
% 1.04/0.94 inference(modus_ponens,[status(thm)],[1323, 1322])).
% 1.04/0.94 tff(1325,plain,
% 1.04/0.94 (~c1_1(a275)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1324, 154, 1059, 1318, 1307, 1306, 765, 30, 1185, 1179, 547])).
% 1.04/0.94 tff(1326,plain,
% 1.04/0.94 (~c0_1(a275)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[410, 1305])).
% 1.04/0.94 tff(1327,plain,
% 1.04/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c0_1(a275) | c2_1(a275) | c1_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | c1_1(a275))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c0_1(a275) | c2_1(a275) | c1_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | c1_1(a275))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1328,plain,
% 1.04/0.94 (((~ndr1_0) | c1_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a275) | c1_1(a275) | c0_1(a275)) <=> (c1_1(a313) | c2_1(a313) | c3_1(a313) | c0_1(a275) | c2_1(a275) | c1_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | c1_1(a275))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1329,plain,
% 1.04/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a275) | c1_1(a275) | c0_1(a275))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c0_1(a275) | c2_1(a275) | c1_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | c1_1(a275)))),
% 1.04/0.94 inference(monotonicity,[status(thm)],[1328])).
% 1.04/0.94 tff(1330,plain,
% 1.04/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a275) | c1_1(a275) | c0_1(a275))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c0_1(a275) | c2_1(a275) | c1_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | c1_1(a275))),
% 1.04/0.94 inference(transitivity,[status(thm)],[1329, 1327])).
% 1.04/0.94 tff(1331,plain,
% 1.04/0.94 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a275) | c1_1(a275) | c0_1(a275))),
% 1.04/0.94 inference(quant_inst,[status(thm)],[])).
% 1.04/0.94 tff(1332,plain,
% 1.04/0.94 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c0_1(a275) | c2_1(a275) | c1_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | c1_1(a275)),
% 1.04/0.94 inference(modus_ponens,[status(thm)],[1331, 1330])).
% 1.04/0.94 tff(1333,plain,
% 1.04/0.94 (~c2_1(a272)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1332, 154, 653, 1201, 1200, 1199, 1326, 1307, 642, 696, 1325])).
% 1.04/0.94 tff(1334,plain,
% 1.04/0.94 ($false),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1298, 154, 1206, 658, 1060, 1204, 764, 765, 30, 547, 975, 1213])).
% 1.04/0.94 tff(1335,plain,((~hskp14) | (~c0_1(a272)) | (~c0_1(a269)) | c3_1(a272) | c1_1(a269) | c2_1(a269) | c2_1(a272) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a298))), inference(lemma,lemma(discharge,[]))).
% 1.04/0.94 tff(1336,plain,
% 1.04/0.94 (~hskp14),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1335, 765, 1059, 636, 653, 30, 1333, 1090, 1089, 1155])).
% 1.04/0.94 tff(1337,plain,
% 1.04/0.94 (hskp17),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1236, 1336, 629])).
% 1.04/0.94 tff(1338,plain,
% 1.04/0.94 (~c1_1(a295)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1242, 1337])).
% 1.04/0.94 tff(1339,plain,
% 1.04/0.94 (((~hskp17) | (~c0_1(a295))) <=> ((~hskp17) | (~c0_1(a295)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1340,plain,
% 1.04/0.94 (((~c0_1(a295)) | (~hskp17)) <=> ((~hskp17) | (~c0_1(a295)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1341,axiom,((~c0_1(a295)) | (~hskp17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause104')).
% 1.04/0.94 tff(1342,plain,
% 1.04/0.94 ((~hskp17) | (~c0_1(a295))),
% 1.04/0.94 inference(modus_ponens,[status(thm)],[1341, 1340])).
% 1.04/0.94 tff(1343,plain,
% 1.04/0.94 ((~hskp17) | (~c0_1(a295))),
% 1.04/0.94 inference(modus_ponens,[status(thm)],[1342, 1339])).
% 1.04/0.94 tff(1344,plain,
% 1.04/0.94 (~c0_1(a295)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1343, 1337])).
% 1.04/0.94 tff(1345,plain,
% 1.04/0.94 (c3_1(a295)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1253, 1337])).
% 1.04/0.94 tff(1346,plain,
% 1.04/0.94 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | c0_1(a295) | c1_1(a295) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c3_1(a295)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp6 | c0_1(a295) | c1_1(a295) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c3_1(a295)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1347,plain,
% 1.04/0.94 ((hskp6 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a295) | c0_1(a295) | (~c3_1(a295))) <=> (hskp6 | c0_1(a295) | c1_1(a295) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c3_1(a295)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1348,plain,
% 1.04/0.94 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a295) | c0_1(a295) | (~c3_1(a295)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | c0_1(a295) | c1_1(a295) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c3_1(a295))))),
% 1.04/0.94 inference(monotonicity,[status(thm)],[1347])).
% 1.04/0.94 tff(1349,plain,
% 1.04/0.94 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a295) | c0_1(a295) | (~c3_1(a295)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp6 | c0_1(a295) | c1_1(a295) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c3_1(a295)))),
% 1.04/0.94 inference(transitivity,[status(thm)],[1348, 1346])).
% 1.04/0.94 tff(1350,plain,
% 1.04/0.94 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a295) | c0_1(a295) | (~c3_1(a295)))),
% 1.04/0.94 inference(quant_inst,[status(thm)],[])).
% 1.04/0.94 tff(1351,plain,
% 1.04/0.94 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp6 | c0_1(a295) | c1_1(a295) | (~ndr1_0) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c3_1(a295))),
% 1.04/0.94 inference(modus_ponens,[status(thm)],[1350, 1349])).
% 1.04/0.94 tff(1352,plain,
% 1.04/0.94 ($false),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1351, 154, 1139, 1345, 927, 929, 1344, 1338, 1079, 1069])).
% 1.04/0.94 tff(1353,plain,(c1_1(a269) | hskp30 | c2_1(a269) | hskp16), inference(lemma,lemma(discharge,[]))).
% 1.04/0.94 tff(1354,plain,
% 1.04/0.94 (c1_1(a269)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1353, 30, 629, 43])).
% 1.04/0.94 tff(1355,plain,
% 1.04/0.94 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | c1_1(a295) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a295)) | (~c3_1(a295)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c1_1(a295) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a295)) | (~c3_1(a295)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1356,plain,
% 1.04/0.94 ((hskp8 | (~ndr1_0) | c2_1(a269) | (~c1_1(a269)) | (~c0_1(a269)) | c1_1(a295) | (~c2_1(a295)) | (~c3_1(a295))) <=> (hskp8 | c1_1(a295) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a295)) | (~c3_1(a295)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1357,plain,
% 1.04/0.94 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a269) | (~c1_1(a269)) | (~c0_1(a269)) | c1_1(a295) | (~c2_1(a295)) | (~c3_1(a295)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | c1_1(a295) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a295)) | (~c3_1(a295))))),
% 1.04/0.94 inference(monotonicity,[status(thm)],[1356])).
% 1.04/0.94 tff(1358,plain,
% 1.04/0.94 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a269) | (~c1_1(a269)) | (~c0_1(a269)) | c1_1(a295) | (~c2_1(a295)) | (~c3_1(a295)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c1_1(a295) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a295)) | (~c3_1(a295)))),
% 1.04/0.94 inference(transitivity,[status(thm)],[1357, 1355])).
% 1.04/0.94 tff(1359,plain,
% 1.04/0.94 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a269) | (~c1_1(a269)) | (~c0_1(a269)) | c1_1(a295) | (~c2_1(a295)) | (~c3_1(a295)))),
% 1.04/0.94 inference(quant_inst,[status(thm)],[])).
% 1.04/0.94 tff(1360,plain,
% 1.04/0.94 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c1_1(a295) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a295)) | (~c3_1(a295))),
% 1.04/0.94 inference(modus_ponens,[status(thm)],[1359, 1358])).
% 1.04/0.94 tff(1361,plain,
% 1.04/0.94 ($false),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1360, 154, 32, 1283, 1060, 1282, 800, 30, 1271, 1284])).
% 1.04/0.94 tff(1362,plain,((~hskp17) | hskp8 | (~c0_1(a269)) | (~c1_1(a269)) | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.04/0.94 tff(1363,plain,
% 1.04/0.94 (~hskp17),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1362, 32, 1060, 800, 30])).
% 1.04/0.94 tff(1364,plain,
% 1.04/0.94 (hskp14),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1236, 1363, 629])).
% 1.04/0.94 tff(1365,plain,
% 1.04/0.94 (~c2_1(a287)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[194, 1364])).
% 1.04/0.94 tff(1366,plain,
% 1.04/0.94 (~c0_1(a287)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[200, 1364])).
% 1.04/0.94 tff(1367,plain,
% 1.04/0.94 (c1_1(a287)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[238, 1364])).
% 1.04/0.94 tff(1368,plain,
% 1.04/0.94 (hskp9),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[245, 154, 1367, 1366, 1365, 228])).
% 1.04/0.94 tff(1369,plain,
% 1.04/0.94 (~c1_1(a280)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[251, 1368])).
% 1.04/0.94 tff(1370,plain,
% 1.04/0.94 (c3_1(a280)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[262, 1368])).
% 1.04/0.94 tff(1371,plain,
% 1.04/0.94 (c2_1(a280)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[290, 1368])).
% 1.04/0.94 tff(1372,plain,
% 1.04/0.94 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | c1_1(a280) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a280)) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c1_1(a280) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a280)) | (~c3_1(a280)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1373,plain,
% 1.04/0.94 ((hskp8 | (~ndr1_0) | c2_1(a269) | (~c1_1(a269)) | (~c0_1(a269)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280))) <=> (hskp8 | c1_1(a280) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a280)) | (~c3_1(a280)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1374,plain,
% 1.04/0.94 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a269) | (~c1_1(a269)) | (~c0_1(a269)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | c1_1(a280) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a280)) | (~c3_1(a280))))),
% 1.04/0.94 inference(monotonicity,[status(thm)],[1373])).
% 1.04/0.94 tff(1375,plain,
% 1.04/0.94 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a269) | (~c1_1(a269)) | (~c0_1(a269)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c1_1(a280) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a280)) | (~c3_1(a280)))),
% 1.04/0.94 inference(transitivity,[status(thm)],[1374, 1372])).
% 1.04/0.94 tff(1376,plain,
% 1.04/0.94 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a269) | (~c1_1(a269)) | (~c0_1(a269)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))),
% 1.04/0.94 inference(quant_inst,[status(thm)],[])).
% 1.04/0.94 tff(1377,plain,
% 1.04/0.94 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c1_1(a280) | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c2_1(a280)) | (~c3_1(a280))),
% 1.04/0.94 inference(modus_ponens,[status(thm)],[1376, 1375])).
% 1.04/0.94 tff(1378,plain,
% 1.04/0.94 ($false),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1377, 154, 32, 1371, 1370, 1060, 1369, 800, 30, 1271])).
% 1.04/0.94 tff(1379,plain,(hskp8 | (~c0_1(a269)) | (~c1_1(a269)) | c2_1(a269) | hskp30), inference(lemma,lemma(discharge,[]))).
% 1.04/0.94 tff(1380,plain,
% 1.04/0.94 (hskp8),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1379, 1059, 1354, 30, 629])).
% 1.04/0.94 tff(1381,plain,
% 1.04/0.94 (~c3_1(a275)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[398, 1380])).
% 1.04/0.94 tff(1382,plain,
% 1.04/0.94 (~c2_1(a275)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[404, 1380])).
% 1.04/0.94 tff(1383,plain,
% 1.04/0.94 (~c0_1(a275)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[410, 1380])).
% 1.04/0.94 tff(1384,plain,
% 1.04/0.94 (~hskp2),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[894, 1354])).
% 1.04/0.94 tff(1385,plain,
% 1.04/0.94 (c1_1(a275)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[967, 154, 1384, 1383, 1382, 1381, 10])).
% 1.04/0.94 tff(1386,plain,
% 1.04/0.94 (((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c1_1(a275)))) <=> ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp9 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c1_1(a275)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1387,plain,
% 1.04/0.94 ((hskp9 | (~ndr1_0) | c2_1(a275) | c0_1(a275) | (~c1_1(a275))) <=> (hskp9 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c1_1(a275)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1388,plain,
% 1.04/0.94 (((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | (~ndr1_0) | c2_1(a275) | c0_1(a275) | (~c1_1(a275)))) <=> ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c1_1(a275))))),
% 1.04/0.94 inference(monotonicity,[status(thm)],[1387])).
% 1.04/0.94 tff(1389,plain,
% 1.04/0.94 (((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | (~ndr1_0) | c2_1(a275) | c0_1(a275) | (~c1_1(a275)))) <=> ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp9 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c1_1(a275)))),
% 1.04/0.94 inference(transitivity,[status(thm)],[1388, 1386])).
% 1.04/0.94 tff(1390,plain,
% 1.04/0.94 ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | (~ndr1_0) | c2_1(a275) | c0_1(a275) | (~c1_1(a275)))),
% 1.04/0.94 inference(quant_inst,[status(thm)],[])).
% 1.04/0.94 tff(1391,plain,
% 1.04/0.94 ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp9 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c1_1(a275))),
% 1.04/0.94 inference(modus_ponens,[status(thm)],[1390, 1389])).
% 1.04/0.94 tff(1392,plain,
% 1.04/0.94 (hskp9 | (~c1_1(a275))),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1391, 154, 1383, 1382, 228])).
% 1.04/0.94 tff(1393,plain,
% 1.04/0.94 (hskp9),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1392, 1385])).
% 1.04/0.94 tff(1394,plain,
% 1.04/0.94 (~c1_1(a280)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[251, 1393])).
% 1.04/0.94 tff(1395,plain,
% 1.04/0.94 (c3_1(a280)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[262, 1393])).
% 1.04/0.94 tff(1396,plain,
% 1.04/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c1_1(a280) | c0_1(a275) | c3_1(a275) | c3_1(a274) | (~ndr1_0) | (~c0_1(a274)) | (~c1_1(a274)) | (~c1_1(a275)) | (~c3_1(a280)) | (~c0_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c1_1(a280) | c0_1(a275) | c3_1(a275) | c3_1(a274) | (~ndr1_0) | (~c0_1(a274)) | (~c1_1(a274)) | (~c1_1(a275)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1397,plain,
% 1.04/0.94 (((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c0_1(a274)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a275) | c3_1(a275) | (~c1_1(a275))) <=> (c1_1(a280) | c0_1(a275) | c3_1(a275) | c3_1(a274) | (~ndr1_0) | (~c0_1(a274)) | (~c1_1(a274)) | (~c1_1(a275)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1398,plain,
% 1.04/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c0_1(a274)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a275) | c3_1(a275) | (~c1_1(a275)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c1_1(a280) | c0_1(a275) | c3_1(a275) | c3_1(a274) | (~ndr1_0) | (~c0_1(a274)) | (~c1_1(a274)) | (~c1_1(a275)) | (~c3_1(a280)) | (~c0_1(a280))))),
% 1.04/0.94 inference(monotonicity,[status(thm)],[1397])).
% 1.04/0.94 tff(1399,plain,
% 1.04/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c0_1(a274)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a275) | c3_1(a275) | (~c1_1(a275)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c1_1(a280) | c0_1(a275) | c3_1(a275) | c3_1(a274) | (~ndr1_0) | (~c0_1(a274)) | (~c1_1(a274)) | (~c1_1(a275)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 1.04/0.94 inference(transitivity,[status(thm)],[1398, 1396])).
% 1.04/0.94 tff(1400,plain,
% 1.04/0.94 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c0_1(a274)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a275) | c3_1(a275) | (~c1_1(a275)))),
% 1.04/0.94 inference(quant_inst,[status(thm)],[])).
% 1.04/0.94 tff(1401,plain,
% 1.04/0.94 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c1_1(a280) | c0_1(a275) | c3_1(a275) | c3_1(a274) | (~ndr1_0) | (~c0_1(a274)) | (~c1_1(a274)) | (~c1_1(a275)) | (~c3_1(a280)) | (~c0_1(a280))),
% 1.04/0.94 inference(modus_ponens,[status(thm)],[1400, 1399])).
% 1.04/0.94 tff(1402,plain,
% 1.04/0.94 (~c0_1(a280)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1401, 154, 1395, 927, 929, 1394, 1383, 1381, 928, 1050, 1385])).
% 1.04/0.94 tff(1403,plain,
% 1.04/0.94 (c2_1(a280)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[290, 1393])).
% 1.04/0.94 tff(1404,plain,
% 1.04/0.94 (hskp4),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[879, 154, 1403, 653, 1394, 642, 636, 628, 1402])).
% 1.04/0.94 tff(1405,plain,
% 1.04/0.94 (~c3_1(a271)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[90, 1404])).
% 1.04/0.94 tff(1406,plain,
% 1.04/0.94 (~c1_1(a271)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[96, 1404])).
% 1.04/0.94 tff(1407,plain,
% 1.04/0.94 (~c0_1(a271)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[102, 1404])).
% 1.04/0.94 tff(1408,plain,
% 1.04/0.94 ($false),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[417, 154, 1384, 1383, 1382, 1381, 1407, 1406, 1405, 10])).
% 1.04/0.94 tff(1409,plain,(c2_1(a269) | hskp30 | hskp16), inference(lemma,lemma(discharge,[]))).
% 1.04/0.94 tff(1410,plain,
% 1.04/0.94 (c2_1(a269)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1409, 629, 43])).
% 1.04/0.94 tff(1411,plain,
% 1.04/0.94 (((~hskp2) | (~c2_1(a269))) <=> ((~hskp2) | (~c2_1(a269)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1412,plain,
% 1.04/0.94 (((~c2_1(a269)) | (~hskp2)) <=> ((~hskp2) | (~c2_1(a269)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1413,axiom,((~c2_1(a269)) | (~hskp2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause130')).
% 1.04/0.94 tff(1414,plain,
% 1.04/0.94 ((~hskp2) | (~c2_1(a269))),
% 1.04/0.94 inference(modus_ponens,[status(thm)],[1413, 1412])).
% 1.04/0.94 tff(1415,plain,
% 1.04/0.94 ((~hskp2) | (~c2_1(a269))),
% 1.04/0.94 inference(modus_ponens,[status(thm)],[1414, 1411])).
% 1.04/0.94 tff(1416,plain,
% 1.04/0.94 (~hskp2),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1415, 1410])).
% 1.04/0.94 tff(1417,plain,
% 1.04/0.94 (~hskp4),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[419, 1416, 43])).
% 1.04/0.94 tff(1418,plain,
% 1.04/0.94 (hskp23),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[524, 32, 1417, 748, 750, 749])).
% 1.04/0.94 tff(1419,plain,
% 1.04/0.94 (~c3_1(a313)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[16, 1418])).
% 1.04/0.94 tff(1420,plain,
% 1.04/0.94 (~c2_1(a313)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[22, 1418])).
% 1.04/0.94 tff(1421,plain,
% 1.04/0.94 (~c1_1(a313)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[28, 1418])).
% 1.04/0.94 tff(1422,plain,
% 1.04/0.94 (c0_1(a313)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[534, 154, 1416, 1421, 1420, 1419, 10])).
% 1.04/0.94 tff(1423,plain,
% 1.04/0.94 (c2_1(a274)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[558, 1422, 1421, 1420, 1419, 749, 750])).
% 1.04/0.94 tff(1424,plain,
% 1.04/0.94 (~hskp6),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1138, 1423, 653, 749, 642, 636, 748])).
% 1.04/0.94 tff(1425,plain,
% 1.04/0.94 (((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)))) <=> ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp18 | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1426,plain,
% 1.04/0.94 ((hskp18 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272))) <=> (hskp18 | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1427,plain,
% 1.04/0.94 (((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272)))) <=> ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274))))),
% 1.04/0.94 inference(monotonicity,[status(thm)],[1426])).
% 1.04/0.94 tff(1428,plain,
% 1.04/0.94 (((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272)))) <=> ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp18 | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274)))),
% 1.04/0.94 inference(transitivity,[status(thm)],[1427, 1425])).
% 1.04/0.94 tff(1429,plain,
% 1.04/0.94 ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp18 | (~ndr1_0) | (~c1_1(a274)) | (~c2_1(a274)) | (~c0_1(a274)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272)))),
% 1.04/0.94 inference(quant_inst,[status(thm)],[])).
% 1.04/0.94 tff(1430,plain,
% 1.04/0.94 ((~![V: $i, U: $i] : (hskp18 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp18 | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c1_1(a274))),
% 1.04/0.94 inference(modus_ponens,[status(thm)],[1429, 1428])).
% 1.04/0.94 tff(1431,plain,
% 1.04/0.94 (hskp18 | c2_1(a272) | (~c2_1(a274))),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1430, 154, 444, 443, 658, 659, 569])).
% 1.04/0.94 tff(1432,plain,
% 1.04/0.94 (~c2_1(a274)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1431, 975, 55])).
% 1.04/0.94 tff(1433,plain,
% 1.04/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c3_1(a274) | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | c2_1(a274) | (~c0_1(a274)) | (~c1_1(a274)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c3_1(a274) | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | c2_1(a274) | (~c0_1(a274)) | (~c1_1(a274)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1434,plain,
% 1.04/0.94 (((~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | c3_1(a274) | c3_1(a274) | c2_1(a274) | (~c0_1(a274)) | c2_1(a272) | c1_1(a272) | (~c0_1(a272))) <=> (c3_1(a274) | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | c2_1(a274) | (~c0_1(a274)) | (~c1_1(a274)))),
% 1.04/0.94 inference(rewrite,[status(thm)],[])).
% 1.04/0.94 tff(1435,plain,
% 1.04/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | c3_1(a274) | c3_1(a274) | c2_1(a274) | (~c0_1(a274)) | c2_1(a272) | c1_1(a272) | (~c0_1(a272)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c3_1(a274) | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | c2_1(a274) | (~c0_1(a274)) | (~c1_1(a274))))),
% 1.04/0.94 inference(monotonicity,[status(thm)],[1434])).
% 1.04/0.94 tff(1436,plain,
% 1.04/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | c3_1(a274) | c3_1(a274) | c2_1(a274) | (~c0_1(a274)) | c2_1(a272) | c1_1(a272) | (~c0_1(a272)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c3_1(a274) | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | c2_1(a274) | (~c0_1(a274)) | (~c1_1(a274)))),
% 1.04/0.94 inference(transitivity,[status(thm)],[1435, 1433])).
% 1.04/0.94 tff(1437,plain,
% 1.04/0.94 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a274) | (~c1_1(a274)) | c3_1(a274) | c3_1(a274) | c2_1(a274) | (~c0_1(a274)) | c2_1(a272) | c1_1(a272) | (~c0_1(a272)))),
% 1.04/0.94 inference(quant_inst,[status(thm)],[])).
% 1.04/0.94 tff(1438,plain,
% 1.04/0.94 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c3_1(a274) | c1_1(a272) | (~ndr1_0) | c2_1(a272) | (~c0_1(a272)) | c2_1(a274) | (~c0_1(a274)) | (~c1_1(a274))),
% 1.04/0.94 inference(modus_ponens,[status(thm)],[1437, 1436])).
% 1.04/0.94 tff(1439,plain,
% 1.04/0.94 ($false),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1438, 154, 444, 443, 658, 442, 659, 547, 975, 1432])).
% 1.04/0.94 tff(1440,plain,(c2_1(a272) | (~c0_1(a274)) | (~c1_1(a274)) | (~c0_1(a272)) | c3_1(a274) | c1_1(a272) | hskp18), inference(lemma,lemma(discharge,[]))).
% 1.04/0.94 tff(1441,plain,
% 1.04/0.94 (c2_1(a272)),
% 1.04/0.94 inference(unit_resolution,[status(thm)],[1440, 55, 443, 658, 442, 659, 444])).
% 1.04/0.95 tff(1442,plain,
% 1.04/0.95 (~c0_1(a313)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[558, 549, 537, 550, 548, 442, 443])).
% 1.04/0.95 tff(1443,plain,
% 1.04/0.95 ($false),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[702, 154, 658, 550, 549, 548, 659, 696, 969, 1442])).
% 1.04/0.95 tff(1444,plain,(c2_1(a313) | (~c0_1(a272)) | c1_1(a313) | c3_1(a313) | c1_1(a272) | (~c2_1(a272)) | c2_1(a274) | c3_1(a274) | (~c1_1(a274))), inference(lemma,lemma(discharge,[]))).
% 1.04/0.95 tff(1445,plain,
% 1.04/0.95 (c2_1(a274)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1444, 549, 443, 1441, 659, 548, 550, 442, 658])).
% 1.04/0.95 tff(1446,plain,
% 1.04/0.95 (c2_1(a313) | (~c2_1(a274)) | (~c0_1(a313))),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[575, 154, 55, 444, 443, 550, 569])).
% 1.04/0.95 tff(1447,plain,
% 1.04/0.95 (~c0_1(a313)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1446, 1445, 549])).
% 1.04/0.95 tff(1448,plain,
% 1.04/0.95 ($false),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[702, 154, 658, 550, 549, 548, 659, 696, 1441, 1447])).
% 1.04/0.95 tff(1449,plain,(c2_1(a313) | (~c0_1(a272)) | c1_1(a313) | c3_1(a313) | c1_1(a272) | hskp18 | (~c0_1(a274)) | (~c1_1(a274)) | c3_1(a274)), inference(lemma,lemma(discharge,[]))).
% 1.04/0.95 tff(1450,plain,
% 1.04/0.95 (hskp18),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1449, 1420, 653, 1419, 642, 1421, 748, 750, 749])).
% 1.04/0.95 tff(1451,plain,
% 1.04/0.95 (c3_1(a298)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[595, 1450])).
% 1.04/0.95 tff(1452,plain,
% 1.04/0.95 (c1_1(a298)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[606, 1450])).
% 1.04/0.95 tff(1453,plain,
% 1.04/0.95 (~c2_1(a298)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[584, 1450])).
% 1.04/0.95 tff(1454,plain,
% 1.04/0.95 (~c0_1(a298)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1279, 1422, 1452, 1453, 629, 1420, 1419, 1421, 1451, 32])).
% 1.04/0.95 tff(1455,plain,
% 1.04/0.95 ($false),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1154, 1454, 1423, 748, 750, 1453, 43, 1452, 1451, 1424])).
% 1.04/0.95 tff(1456,plain,(hskp8 | hskp16 | hskp30), inference(lemma,lemma(discharge,[]))).
% 1.04/0.95 tff(1457,plain,
% 1.04/0.95 (hskp8),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1456, 629, 43])).
% 1.04/0.95 tff(1458,plain,
% 1.04/0.95 (~c3_1(a275)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[398, 1457])).
% 1.04/0.95 tff(1459,plain,
% 1.04/0.95 (~c2_1(a275)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[404, 1457])).
% 1.04/0.95 tff(1460,plain,
% 1.04/0.95 (~c0_1(a275)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[410, 1457])).
% 1.04/0.95 tff(1461,plain,
% 1.04/0.95 (c1_1(a275)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[967, 154, 1416, 1460, 1459, 1458, 10])).
% 1.04/0.95 tff(1462,plain,
% 1.04/0.95 (hskp9 | (~c1_1(a275))),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1391, 154, 1460, 1459, 228])).
% 1.04/0.95 tff(1463,plain,
% 1.04/0.95 (hskp9),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1462, 1461])).
% 1.04/0.95 tff(1464,plain,
% 1.04/0.95 (~c1_1(a280)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[251, 1463])).
% 1.04/0.95 tff(1465,plain,
% 1.04/0.95 (c2_1(a280)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[290, 1463])).
% 1.04/0.95 tff(1466,plain,
% 1.04/0.95 (c0_1(a280)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[879, 154, 1417, 1465, 653, 1464, 642, 636, 628])).
% 1.04/0.95 tff(1467,plain,
% 1.04/0.95 (c3_1(a280)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[262, 1463])).
% 1.04/0.95 tff(1468,plain,
% 1.04/0.95 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp27 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp27 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1469,plain,
% 1.04/0.95 ((hskp27 | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a275) | c2_1(a275) | (~c1_1(a275))) <=> (hskp27 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1470,plain,
% 1.04/0.95 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp27 | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a275) | c2_1(a275) | (~c1_1(a275)))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp27 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280))))),
% 1.04/0.95 inference(monotonicity,[status(thm)],[1469])).
% 1.04/0.95 tff(1471,plain,
% 1.04/0.95 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp27 | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a275) | c2_1(a275) | (~c1_1(a275)))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp27 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 1.04/0.95 inference(transitivity,[status(thm)],[1470, 1468])).
% 1.04/0.95 tff(1472,plain,
% 1.04/0.95 ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp27 | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a275) | c2_1(a275) | (~c1_1(a275)))),
% 1.04/0.95 inference(quant_inst,[status(thm)],[])).
% 1.04/0.95 tff(1473,plain,
% 1.04/0.95 ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp27 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280))),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1472, 1471])).
% 1.04/0.95 tff(1474,plain,
% 1.04/0.95 (hskp27),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1473, 154, 1465, 1467, 1460, 1459, 823, 1466, 1461])).
% 1.04/0.95 tff(1475,plain,
% 1.04/0.95 (c3_1(a276)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[841, 1474])).
% 1.04/0.95 tff(1476,plain,
% 1.04/0.95 (c2_1(a276)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[852, 1474])).
% 1.04/0.95 tff(1477,plain,
% 1.04/0.95 (c1_1(a276)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[863, 1474])).
% 1.04/0.95 tff(1478,plain,
% 1.04/0.95 ($false),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[870, 154, 1477, 1476, 1475, 1465, 1467, 1464, 53, 1466])).
% 1.04/0.95 tff(1479,plain,(hskp30 | hskp16), inference(lemma,lemma(discharge,[]))).
% 1.04/0.95 tff(1480,plain,
% 1.04/0.95 (hskp30),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1479, 43])).
% 1.04/0.95 tff(1481,plain,
% 1.04/0.95 (((~hskp30) | c3_1(a337)) <=> ((~hskp30) | c3_1(a337))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1482,axiom,((~hskp30) | c3_1(a337)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause44')).
% 1.04/0.95 tff(1483,plain,
% 1.04/0.95 ((~hskp30) | c3_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1482, 1481])).
% 1.04/0.95 tff(1484,plain,
% 1.04/0.95 ((~hskp30) | c3_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1483, 1481])).
% 1.04/0.95 tff(1485,plain,
% 1.04/0.95 ((~hskp30) | c3_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1484, 1481])).
% 1.04/0.95 tff(1486,plain,
% 1.04/0.95 ((~hskp30) | c3_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1485, 1481])).
% 1.04/0.95 tff(1487,plain,
% 1.04/0.95 ((~hskp30) | c3_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1486, 1481])).
% 1.04/0.95 tff(1488,plain,
% 1.04/0.95 ((~hskp30) | c3_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1487, 1481])).
% 1.04/0.95 tff(1489,plain,
% 1.04/0.95 ((~hskp30) | c3_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1488, 1481])).
% 1.04/0.95 tff(1490,plain,
% 1.04/0.95 ((~hskp30) | c3_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1489, 1481])).
% 1.04/0.95 tff(1491,plain,
% 1.04/0.95 (c3_1(a337)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1490, 1480])).
% 1.04/0.95 tff(1492,plain,
% 1.04/0.95 (((~hskp30) | c2_1(a337)) <=> ((~hskp30) | c2_1(a337))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1493,axiom,((~hskp30) | c2_1(a337)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause43')).
% 1.04/0.95 tff(1494,plain,
% 1.04/0.95 ((~hskp30) | c2_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1493, 1492])).
% 1.04/0.95 tff(1495,plain,
% 1.04/0.95 ((~hskp30) | c2_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1494, 1492])).
% 1.04/0.95 tff(1496,plain,
% 1.04/0.95 ((~hskp30) | c2_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1495, 1492])).
% 1.04/0.95 tff(1497,plain,
% 1.04/0.95 ((~hskp30) | c2_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1496, 1492])).
% 1.04/0.95 tff(1498,plain,
% 1.04/0.95 ((~hskp30) | c2_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1497, 1492])).
% 1.04/0.95 tff(1499,plain,
% 1.04/0.95 ((~hskp30) | c2_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1498, 1492])).
% 1.04/0.95 tff(1500,plain,
% 1.04/0.95 ((~hskp30) | c2_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1499, 1492])).
% 1.04/0.95 tff(1501,plain,
% 1.04/0.95 ((~hskp30) | c2_1(a337)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1500, 1492])).
% 1.04/0.95 tff(1502,plain,
% 1.04/0.95 (c2_1(a337)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1501, 1480])).
% 1.04/0.95 tff(1503,plain,
% 1.04/0.95 (((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))) | (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(a337)) | (~c3_1(a337)) | (~c2_1(a337)))) <=> ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))) | hskp8 | hskp7 | (~ndr1_0) | (~c1_1(a337)) | (~c3_1(a337)) | (~c2_1(a337)))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1504,plain,
% 1.04/0.95 ((hskp8 | hskp7 | (~ndr1_0) | (~c1_1(a337)) | (~c2_1(a337)) | (~c3_1(a337))) <=> (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(a337)) | (~c3_1(a337)) | (~c2_1(a337)))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1505,plain,
% 1.04/0.95 (((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))) | (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(a337)) | (~c2_1(a337)) | (~c3_1(a337)))) <=> ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))) | (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(a337)) | (~c3_1(a337)) | (~c2_1(a337))))),
% 1.04/0.95 inference(monotonicity,[status(thm)],[1504])).
% 1.04/0.95 tff(1506,plain,
% 1.04/0.95 (((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))) | (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(a337)) | (~c2_1(a337)) | (~c3_1(a337)))) <=> ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))) | hskp8 | hskp7 | (~ndr1_0) | (~c1_1(a337)) | (~c3_1(a337)) | (~c2_1(a337)))),
% 1.04/0.95 inference(transitivity,[status(thm)],[1505, 1503])).
% 1.04/0.95 tff(1507,plain,
% 1.04/0.95 ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))) | (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(a337)) | (~c2_1(a337)) | (~c3_1(a337)))),
% 1.04/0.95 inference(quant_inst,[status(thm)],[])).
% 1.04/0.95 tff(1508,plain,
% 1.04/0.95 ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))) | hskp8 | hskp7 | (~ndr1_0) | (~c1_1(a337)) | (~c3_1(a337)) | (~c2_1(a337))),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1507, 1506])).
% 1.04/0.95 tff(1509,plain,
% 1.04/0.95 (hskp8 | hskp7 | (~c1_1(a337))),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1508, 154, 1502, 1491, 618])).
% 1.04/0.95 tff(1510,plain,
% 1.04/0.95 (~c1_1(a337)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1509, 608, 32])).
% 1.04/0.95 tff(1511,plain,
% 1.04/0.95 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | c2_1(a298) | (~ndr1_0) | c1_1(a337) | (~c3_1(a337)) | (~c2_1(a337)) | (~c1_1(a298)) | (~c0_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c2_1(a298) | (~ndr1_0) | c1_1(a337) | (~c3_1(a337)) | (~c2_1(a337)) | (~c1_1(a298)) | (~c0_1(a298)))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1512,plain,
% 1.04/0.95 ((hskp8 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c0_1(a298)) | c1_1(a337) | (~c2_1(a337)) | (~c3_1(a337))) <=> (hskp8 | c2_1(a298) | (~ndr1_0) | c1_1(a337) | (~c3_1(a337)) | (~c2_1(a337)) | (~c1_1(a298)) | (~c0_1(a298)))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1513,plain,
% 1.04/0.95 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c0_1(a298)) | c1_1(a337) | (~c2_1(a337)) | (~c3_1(a337)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | c2_1(a298) | (~ndr1_0) | c1_1(a337) | (~c3_1(a337)) | (~c2_1(a337)) | (~c1_1(a298)) | (~c0_1(a298))))),
% 1.04/0.95 inference(monotonicity,[status(thm)],[1512])).
% 1.04/0.95 tff(1514,plain,
% 1.04/0.95 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c0_1(a298)) | c1_1(a337) | (~c2_1(a337)) | (~c3_1(a337)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c2_1(a298) | (~ndr1_0) | c1_1(a337) | (~c3_1(a337)) | (~c2_1(a337)) | (~c1_1(a298)) | (~c0_1(a298)))),
% 1.04/0.95 inference(transitivity,[status(thm)],[1513, 1511])).
% 1.04/0.95 tff(1515,plain,
% 1.04/0.95 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c0_1(a298)) | c1_1(a337) | (~c2_1(a337)) | (~c3_1(a337)))),
% 1.04/0.95 inference(quant_inst,[status(thm)],[])).
% 1.04/0.95 tff(1516,plain,
% 1.04/0.95 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c2_1(a298) | (~ndr1_0) | c1_1(a337) | (~c3_1(a337)) | (~c2_1(a337)) | (~c1_1(a298)) | (~c0_1(a298))),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1515, 1514])).
% 1.04/0.95 tff(1517,plain,
% 1.04/0.95 (~c0_1(a298)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1516, 154, 32, 1502, 1491, 672, 670, 1271, 1510])).
% 1.04/0.95 tff(1518,plain,
% 1.04/0.95 (hskp9),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1141, 1517])).
% 1.04/0.95 tff(1519,plain,
% 1.04/0.95 (~c1_1(a280)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[251, 1518])).
% 1.04/0.95 tff(1520,plain,
% 1.04/0.95 (c3_1(a280)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[262, 1518])).
% 1.04/0.95 tff(1521,plain,
% 1.04/0.95 (c0_1(a280)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[744, 154, 32, 608, 1520, 1519, 738])).
% 1.04/0.95 tff(1522,plain,
% 1.04/0.95 ($false),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[727, 154, 43, 672, 671, 1520, 1519, 218, 1521, 1517])).
% 1.04/0.95 tff(1523,plain,(hskp7 | hskp16 | (~c1_1(a298)) | (~c3_1(a298)) | hskp8 | c2_1(a298)), inference(lemma,lemma(discharge,[]))).
% 1.04/0.95 tff(1524,plain,
% 1.04/0.95 (hskp7),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1523, 607, 43, 596, 32, 585])).
% 1.04/0.95 tff(1525,plain,
% 1.04/0.95 (~c3_1(a274)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[72, 1524])).
% 1.04/0.95 tff(1526,plain,
% 1.04/0.95 (c1_1(a274)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[83, 1524])).
% 1.04/0.95 tff(1527,plain,
% 1.04/0.95 (c0_1(a274)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[430, 1524])).
% 1.04/0.95 tff(1528,plain,
% 1.04/0.95 (hskp23),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[524, 1527, 32, 420, 1526, 1525])).
% 1.04/0.95 tff(1529,plain,
% 1.04/0.95 (~c2_1(a313)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[22, 1528])).
% 1.04/0.95 tff(1530,plain,
% 1.04/0.95 (~c1_1(a313)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[28, 1528])).
% 1.04/0.95 tff(1531,plain,
% 1.04/0.95 (~c3_1(a313)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[16, 1528])).
% 1.04/0.95 tff(1532,plain,
% 1.04/0.95 (c0_1(a313)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[534, 154, 54, 1530, 1529, 1531, 10])).
% 1.04/0.95 tff(1533,plain,
% 1.04/0.95 (c2_1(a274)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[558, 1532, 1530, 1529, 1531, 1525, 1526])).
% 1.04/0.95 tff(1534,plain,
% 1.04/0.95 (((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | (c1_1(a313) | c3_1(a313) | c3_1(a274) | c0_1(a273) | (~ndr1_0) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c0_1(a313)))) <=> ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | c1_1(a313) | c3_1(a313) | c3_1(a274) | c0_1(a273) | (~ndr1_0) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c0_1(a313)))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1535,plain,
% 1.04/0.95 (((~ndr1_0) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a313) | c1_1(a313) | (~c0_1(a313)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273))) <=> (c1_1(a313) | c3_1(a313) | c3_1(a274) | c0_1(a273) | (~ndr1_0) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c0_1(a313)))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1536,plain,
% 1.04/0.95 (((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a313) | c1_1(a313) | (~c0_1(a313)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273)))) <=> ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | (c1_1(a313) | c3_1(a313) | c3_1(a274) | c0_1(a273) | (~ndr1_0) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c0_1(a313))))),
% 1.04/0.95 inference(monotonicity,[status(thm)],[1535])).
% 1.04/0.95 tff(1537,plain,
% 1.04/0.95 (((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a313) | c1_1(a313) | (~c0_1(a313)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273)))) <=> ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | c1_1(a313) | c3_1(a313) | c3_1(a274) | c0_1(a273) | (~ndr1_0) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c0_1(a313)))),
% 1.04/0.95 inference(transitivity,[status(thm)],[1536, 1534])).
% 1.04/0.95 tff(1538,plain,
% 1.04/0.95 ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a313) | c1_1(a313) | (~c0_1(a313)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273)))),
% 1.04/0.95 inference(quant_inst,[status(thm)],[])).
% 1.04/0.95 tff(1539,plain,
% 1.04/0.95 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | c1_1(a313) | c3_1(a313) | c3_1(a274) | c0_1(a273) | (~ndr1_0) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274)) | (~c0_1(a313))),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1538, 1537])).
% 1.04/0.95 tff(1540,plain,
% 1.04/0.95 ($false),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1539, 154, 444, 1130, 1119, 550, 548, 442, 1108, 1101, 1091, 536])).
% 1.04/0.95 tff(1541,plain,((~hskp6) | (~c0_1(a274)) | c1_1(a313) | c3_1(a313) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a313))), inference(lemma,lemma(discharge,[]))).
% 1.04/0.95 tff(1542,plain,
% 1.04/0.95 (~hskp6),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1541, 536, 550, 548, 442, 1091, 444])).
% 1.04/0.95 tff(1543,plain,
% 1.04/0.95 (c0_1(a298)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1154, 1542, 444, 443, 1091, 43, 672, 671, 670])).
% 1.04/0.95 tff(1544,plain,
% 1.04/0.95 (~hskp14),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1221, 1543, 549, 548, 536, 672, 671, 550])).
% 1.04/0.95 tff(1545,assumption,(hskp12), introduced(assumption)).
% 1.04/0.95 tff(1546,plain,
% 1.04/0.95 (((~hskp12) | (~c3_1(a284))) <=> ((~hskp12) | (~c3_1(a284)))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1547,plain,
% 1.04/0.95 (((~c3_1(a284)) | (~hskp12)) <=> ((~hskp12) | (~c3_1(a284)))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1548,axiom,((~c3_1(a284)) | (~hskp12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause112')).
% 1.04/0.95 tff(1549,plain,
% 1.04/0.95 ((~hskp12) | (~c3_1(a284))),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1548, 1547])).
% 1.04/0.95 tff(1550,plain,
% 1.04/0.95 ((~hskp12) | (~c3_1(a284))),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1549, 1546])).
% 1.04/0.95 tff(1551,plain,
% 1.04/0.95 (~c3_1(a284)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1550, 1545])).
% 1.04/0.95 tff(1552,plain,
% 1.04/0.95 (((~hskp12) | (~c0_1(a284))) <=> ((~hskp12) | (~c0_1(a284)))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1553,plain,
% 1.04/0.95 (((~c0_1(a284)) | (~hskp12)) <=> ((~hskp12) | (~c0_1(a284)))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1554,axiom,((~c0_1(a284)) | (~hskp12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause111')).
% 1.04/0.95 tff(1555,plain,
% 1.04/0.95 ((~hskp12) | (~c0_1(a284))),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1554, 1553])).
% 1.04/0.95 tff(1556,plain,
% 1.04/0.95 ((~hskp12) | (~c0_1(a284))),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1555, 1552])).
% 1.04/0.95 tff(1557,plain,
% 1.04/0.95 (~c0_1(a284)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1556, 1545])).
% 1.04/0.95 tff(1558,plain,
% 1.04/0.95 (((~hskp12) | c2_1(a284)) <=> ((~hskp12) | c2_1(a284))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1559,axiom,((~hskp12) | c2_1(a284)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause73')).
% 1.04/0.95 tff(1560,plain,
% 1.04/0.95 ((~hskp12) | c2_1(a284)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1559, 1558])).
% 1.04/0.95 tff(1561,plain,
% 1.04/0.95 ((~hskp12) | c2_1(a284)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1560, 1558])).
% 1.04/0.95 tff(1562,plain,
% 1.04/0.95 ((~hskp12) | c2_1(a284)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1561, 1558])).
% 1.04/0.95 tff(1563,plain,
% 1.04/0.95 ((~hskp12) | c2_1(a284)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1562, 1558])).
% 1.04/0.95 tff(1564,plain,
% 1.04/0.95 ((~hskp12) | c2_1(a284)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1563, 1558])).
% 1.04/0.95 tff(1565,plain,
% 1.04/0.95 ((~hskp12) | c2_1(a284)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1564, 1558])).
% 1.04/0.95 tff(1566,plain,
% 1.04/0.95 ((~hskp12) | c2_1(a284)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1565, 1558])).
% 1.04/0.95 tff(1567,plain,
% 1.04/0.95 ((~hskp12) | c2_1(a284)),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1566, 1558])).
% 1.04/0.95 tff(1568,plain,
% 1.04/0.95 (c2_1(a284)),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1567, 1545])).
% 1.04/0.95 tff(1569,assumption,(~hskp14), introduced(assumption)).
% 1.04/0.95 tff(1570,plain,
% 1.04/0.95 (((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp14 | c0_1(a284) | c3_1(a284) | (~ndr1_0) | (~c2_1(a284)))) <=> ((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | hskp14 | c0_1(a284) | c3_1(a284) | (~ndr1_0) | (~c2_1(a284)))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1571,plain,
% 1.04/0.95 ((hskp14 | (~ndr1_0) | c0_1(a284) | c3_1(a284) | (~c2_1(a284))) <=> (hskp14 | c0_1(a284) | c3_1(a284) | (~ndr1_0) | (~c2_1(a284)))),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1572,plain,
% 1.04/0.95 (((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp14 | (~ndr1_0) | c0_1(a284) | c3_1(a284) | (~c2_1(a284)))) <=> ((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp14 | c0_1(a284) | c3_1(a284) | (~ndr1_0) | (~c2_1(a284))))),
% 1.04/0.95 inference(monotonicity,[status(thm)],[1571])).
% 1.04/0.95 tff(1573,plain,
% 1.04/0.95 (((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp14 | (~ndr1_0) | c0_1(a284) | c3_1(a284) | (~c2_1(a284)))) <=> ((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | hskp14 | c0_1(a284) | c3_1(a284) | (~ndr1_0) | (~c2_1(a284)))),
% 1.04/0.95 inference(transitivity,[status(thm)],[1572, 1570])).
% 1.04/0.95 tff(1574,plain,
% 1.04/0.95 ((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | (hskp14 | (~ndr1_0) | c0_1(a284) | c3_1(a284) | (~c2_1(a284)))),
% 1.04/0.95 inference(quant_inst,[status(thm)],[])).
% 1.04/0.95 tff(1575,plain,
% 1.04/0.95 ((~![U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)))) | hskp14 | c0_1(a284) | c3_1(a284) | (~ndr1_0) | (~c2_1(a284))),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1574, 1573])).
% 1.04/0.95 tff(1576,plain,
% 1.04/0.95 ($false),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1575, 154, 1569, 1568, 1557, 1551, 181])).
% 1.04/0.95 tff(1577,plain,((~hskp12) | hskp14), inference(lemma,lemma(discharge,[]))).
% 1.04/0.95 tff(1578,plain,
% 1.04/0.95 (~hskp12),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1577, 1544])).
% 1.04/0.95 tff(1579,plain,
% 1.04/0.95 ((hskp25 | hskp14 | hskp12) <=> (hskp25 | hskp14 | hskp12)),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1580,plain,
% 1.04/0.95 (((hskp14 | hskp25) | hskp12) <=> (hskp25 | hskp14 | hskp12)),
% 1.04/0.95 inference(rewrite,[status(thm)],[])).
% 1.04/0.95 tff(1581,axiom,((hskp14 | hskp25) | hskp12), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause40')).
% 1.04/0.95 tff(1582,plain,
% 1.04/0.95 (hskp25 | hskp14 | hskp12),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1581, 1580])).
% 1.04/0.95 tff(1583,plain,
% 1.04/0.95 (hskp25 | hskp14 | hskp12),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1582, 1579])).
% 1.04/0.95 tff(1584,plain,
% 1.04/0.95 (hskp25 | hskp14 | hskp12),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1583, 1579])).
% 1.04/0.95 tff(1585,plain,
% 1.04/0.95 (hskp25 | hskp14 | hskp12),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1584, 1579])).
% 1.04/0.95 tff(1586,plain,
% 1.04/0.95 (hskp25 | hskp14 | hskp12),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1585, 1579])).
% 1.04/0.95 tff(1587,plain,
% 1.04/0.95 (hskp25 | hskp14 | hskp12),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1586, 1579])).
% 1.04/0.95 tff(1588,plain,
% 1.04/0.95 (hskp25 | hskp14 | hskp12),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1587, 1579])).
% 1.04/0.95 tff(1589,plain,
% 1.04/0.95 (hskp25 | hskp14 | hskp12),
% 1.04/0.95 inference(modus_ponens,[status(thm)],[1588, 1579])).
% 1.04/0.95 tff(1590,plain,
% 1.04/0.95 (hskp25),
% 1.04/0.95 inference(unit_resolution,[status(thm)],[1589, 1578, 1544])).
% 1.04/0.95 tff(1591,plain,
% 1.04/0.95 (((~hskp25) | (~c3_1(a352))) <=> ((~hskp25) | (~c3_1(a352)))),
% 1.06/0.95 inference(rewrite,[status(thm)],[])).
% 1.06/0.95 tff(1592,plain,
% 1.06/0.95 (((~c3_1(a352)) | (~hskp25)) <=> ((~hskp25) | (~c3_1(a352)))),
% 1.06/0.95 inference(rewrite,[status(thm)],[])).
% 1.06/0.95 tff(1593,axiom,((~c3_1(a352)) | (~hskp25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause92')).
% 1.06/0.95 tff(1594,plain,
% 1.06/0.95 ((~hskp25) | (~c3_1(a352))),
% 1.06/0.95 inference(modus_ponens,[status(thm)],[1593, 1592])).
% 1.06/0.95 tff(1595,plain,
% 1.06/0.95 ((~hskp25) | (~c3_1(a352))),
% 1.06/0.95 inference(modus_ponens,[status(thm)],[1594, 1591])).
% 1.06/0.95 tff(1596,plain,
% 1.06/0.95 (~c3_1(a352)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[1595, 1590])).
% 1.06/0.95 tff(1597,plain,
% 1.06/0.95 (((~hskp25) | (~c2_1(a352))) <=> ((~hskp25) | (~c2_1(a352)))),
% 1.06/0.95 inference(rewrite,[status(thm)],[])).
% 1.06/0.95 tff(1598,plain,
% 1.06/0.95 (((~c2_1(a352)) | (~hskp25)) <=> ((~hskp25) | (~c2_1(a352)))),
% 1.06/0.95 inference(rewrite,[status(thm)],[])).
% 1.06/0.95 tff(1599,axiom,((~c2_1(a352)) | (~hskp25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause91')).
% 1.06/0.95 tff(1600,plain,
% 1.06/0.95 ((~hskp25) | (~c2_1(a352))),
% 1.06/0.95 inference(modus_ponens,[status(thm)],[1599, 1598])).
% 1.06/0.95 tff(1601,plain,
% 1.06/0.95 ((~hskp25) | (~c2_1(a352))),
% 1.06/0.95 inference(modus_ponens,[status(thm)],[1600, 1597])).
% 1.06/0.95 tff(1602,plain,
% 1.06/0.95 (~c2_1(a352)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[1601, 1590])).
% 1.06/0.95 tff(1603,plain,
% 1.06/0.95 (((~hskp25) | c1_1(a352)) <=> ((~hskp25) | c1_1(a352))),
% 1.06/0.95 inference(rewrite,[status(thm)],[])).
% 1.06/0.95 tff(1604,axiom,((~hskp25) | c1_1(a352)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause54')).
% 1.06/0.95 tff(1605,plain,
% 1.06/0.95 ((~hskp25) | c1_1(a352)),
% 1.06/0.95 inference(modus_ponens,[status(thm)],[1604, 1603])).
% 1.06/0.95 tff(1606,plain,
% 1.06/0.95 ((~hskp25) | c1_1(a352)),
% 1.06/0.95 inference(modus_ponens,[status(thm)],[1605, 1603])).
% 1.06/0.95 tff(1607,plain,
% 1.06/0.95 ((~hskp25) | c1_1(a352)),
% 1.06/0.95 inference(modus_ponens,[status(thm)],[1606, 1603])).
% 1.06/0.95 tff(1608,plain,
% 1.06/0.95 ((~hskp25) | c1_1(a352)),
% 1.06/0.95 inference(modus_ponens,[status(thm)],[1607, 1603])).
% 1.06/0.95 tff(1609,plain,
% 1.06/0.95 ((~hskp25) | c1_1(a352)),
% 1.06/0.95 inference(modus_ponens,[status(thm)],[1608, 1603])).
% 1.06/0.95 tff(1610,plain,
% 1.06/0.95 ((~hskp25) | c1_1(a352)),
% 1.06/0.95 inference(modus_ponens,[status(thm)],[1609, 1603])).
% 1.06/0.95 tff(1611,plain,
% 1.06/0.95 ((~hskp25) | c1_1(a352)),
% 1.06/0.95 inference(modus_ponens,[status(thm)],[1610, 1603])).
% 1.06/0.95 tff(1612,plain,
% 1.06/0.95 ((~hskp25) | c1_1(a352)),
% 1.06/0.95 inference(modus_ponens,[status(thm)],[1611, 1603])).
% 1.06/0.95 tff(1613,plain,
% 1.06/0.95 (c1_1(a352)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[1612, 1590])).
% 1.06/0.95 tff(1614,plain,
% 1.06/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c2_1(a352) | c3_1(a352) | c1_1(a313) | c2_1(a313) | c3_1(a313) | (~ndr1_0) | (~c0_1(a313)) | (~c1_1(a352)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a352) | c3_1(a352) | c1_1(a313) | c2_1(a313) | c3_1(a313) | (~ndr1_0) | (~c0_1(a313)) | (~c1_1(a352)))),
% 1.06/0.95 inference(rewrite,[status(thm)],[])).
% 1.06/0.95 tff(1615,plain,
% 1.06/0.95 (((~ndr1_0) | c2_1(a352) | (~c1_1(a352)) | c3_1(a352) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313))) <=> (c2_1(a352) | c3_1(a352) | c1_1(a313) | c2_1(a313) | c3_1(a313) | (~ndr1_0) | (~c0_1(a313)) | (~c1_1(a352)))),
% 1.06/0.95 inference(rewrite,[status(thm)],[])).
% 1.06/0.95 tff(1616,plain,
% 1.06/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a352) | (~c1_1(a352)) | c3_1(a352) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c2_1(a352) | c3_1(a352) | c1_1(a313) | c2_1(a313) | c3_1(a313) | (~ndr1_0) | (~c0_1(a313)) | (~c1_1(a352))))),
% 1.06/0.95 inference(monotonicity,[status(thm)],[1615])).
% 1.06/0.95 tff(1617,plain,
% 1.06/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a352) | (~c1_1(a352)) | c3_1(a352) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a352) | c3_1(a352) | c1_1(a313) | c2_1(a313) | c3_1(a313) | (~ndr1_0) | (~c0_1(a313)) | (~c1_1(a352)))),
% 1.06/0.95 inference(transitivity,[status(thm)],[1616, 1614])).
% 1.06/0.95 tff(1618,plain,
% 1.06/0.95 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a352) | (~c1_1(a352)) | c3_1(a352) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313)))),
% 1.06/0.95 inference(quant_inst,[status(thm)],[])).
% 1.06/0.95 tff(1619,plain,
% 1.06/0.95 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a352) | c3_1(a352) | c1_1(a313) | c2_1(a313) | c3_1(a313) | (~ndr1_0) | (~c0_1(a313)) | (~c1_1(a352))),
% 1.06/0.95 inference(modus_ponens,[status(thm)],[1618, 1617])).
% 1.06/0.95 tff(1620,plain,
% 1.06/0.95 ($false),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[1619, 154, 1613, 1602, 1596, 550, 549, 548, 547, 536])).
% 1.06/0.95 tff(1621,plain,((~c0_1(a313)) | c1_1(a313) | c2_1(a313) | c3_1(a313) | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a274)) | (~c1_1(a274)) | (~c2_1(a274)) | hskp16 | c2_1(a298) | c3_1(a274)), inference(lemma,lemma(discharge,[]))).
% 1.06/0.95 tff(1622,plain,
% 1.06/0.95 ($false),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[1621, 1533, 1532, 607, 1531, 1530, 596, 1527, 1526, 1529, 43, 585, 1525])).
% 1.06/0.95 tff(1623,plain,(hskp2 | hskp16 | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.06/0.95 tff(1624,plain,
% 1.06/0.95 (hskp2),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[1623, 32, 43])).
% 1.06/0.95 tff(1625,plain,
% 1.06/0.95 (c0_1(a269)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[940, 1624])).
% 1.06/0.95 tff(1626,plain,
% 1.06/0.95 (~c1_1(a269)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[894, 1624])).
% 1.06/0.95 tff(1627,plain,
% 1.06/0.95 (~c2_1(a269)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[1415, 1624])).
% 1.06/0.95 tff(1628,plain,
% 1.06/0.95 ($false),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[771, 154, 608, 657, 656, 1060, 655, 765, 30, 669])).
% 1.06/0.95 tff(1629,plain,(hskp7 | (~c0_1(a269)) | c1_1(a269) | c2_1(a269) | hskp16), inference(lemma,lemma(discharge,[]))).
% 1.06/0.95 tff(1630,plain,
% 1.06/0.95 (hskp7),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[1629, 1627, 1626, 1625, 43])).
% 1.06/0.95 tff(1631,plain,
% 1.06/0.95 (~c3_1(a274)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[72, 1630])).
% 1.06/0.95 tff(1632,plain,
% 1.06/0.95 (c1_1(a274)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[83, 1630])).
% 1.06/0.95 tff(1633,plain,
% 1.06/0.95 (c0_1(a274)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[430, 1630])).
% 1.06/0.95 tff(1634,plain,
% 1.06/0.95 (hskp23),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[1197, 1633, 1626, 1627, 1625, 1632, 1631])).
% 1.06/0.95 tff(1635,plain,
% 1.06/0.95 (~c1_1(a313)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[28, 1634])).
% 1.06/0.95 tff(1636,plain,
% 1.06/0.95 (c1_1(a269) | (~c3_1(a269))),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[956, 154, 32, 30, 113])).
% 1.06/0.95 tff(1637,plain,
% 1.06/0.95 (~c3_1(a269)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[1636, 765])).
% 1.06/0.95 tff(1638,plain,
% 1.06/0.95 (c0_1(a269)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[949, 1637, 30, 765])).
% 1.06/0.95 tff(1639,plain,
% 1.06/0.95 (hskp7),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[1629, 1638, 765, 30, 43])).
% 1.06/0.95 tff(1640,plain,
% 1.06/0.95 (~c3_1(a274)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[72, 1639])).
% 1.06/0.95 tff(1641,plain,
% 1.06/0.95 (c0_1(a274)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[430, 1639])).
% 1.06/0.95 tff(1642,plain,
% 1.06/0.95 (c1_1(a274)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[83, 1639])).
% 1.06/0.95 tff(1643,plain,
% 1.06/0.95 (c2_1(a274)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[1068, 1642, 30, 1638, 1640, 765, 1641])).
% 1.06/0.95 tff(1644,plain,
% 1.06/0.95 (hskp18),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[1085, 154, 1641, 1642, 1638, 765, 30, 569, 1643])).
% 1.06/0.95 tff(1645,plain,
% 1.06/0.95 (~c2_1(a298)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[584, 1644])).
% 1.06/0.95 tff(1646,plain,
% 1.06/0.95 (c3_1(a298)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[595, 1644])).
% 1.06/0.95 tff(1647,plain,
% 1.06/0.95 (c1_1(a298)),
% 1.06/0.95 inference(unit_resolution,[status(thm)],[606, 1644])).
% 1.06/0.96 tff(1648,plain,
% 1.06/0.96 (hskp23),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1197, 1641, 30, 765, 1638, 1642, 1640])).
% 1.06/0.96 tff(1649,plain,
% 1.06/0.96 (~c3_1(a313)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[16, 1648])).
% 1.06/0.96 tff(1650,plain,
% 1.06/0.96 (~c2_1(a313)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[22, 1648])).
% 1.06/0.96 tff(1651,plain,
% 1.06/0.96 (~c1_1(a313)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[28, 1648])).
% 1.06/0.96 tff(1652,plain,
% 1.06/0.96 (~c0_1(a313)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1621, 1651, 1650, 1649, 1647, 1646, 1641, 1642, 1643, 43, 1645, 1640])).
% 1.06/0.96 tff(1653,assumption,(~hskp9), introduced(assumption)).
% 1.06/0.96 tff(1654,assumption,(hskp25), introduced(assumption)).
% 1.06/0.96 tff(1655,plain,
% 1.06/0.96 (~c2_1(a352)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1601, 1654])).
% 1.06/0.96 tff(1656,plain,
% 1.06/0.96 (c1_1(a352)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1612, 1654])).
% 1.06/0.96 tff(1657,plain,
% 1.06/0.96 (((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | c2_1(a352) | (~ndr1_0) | c0_1(a352) | (~c1_1(a352)))) <=> ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp9 | c2_1(a352) | (~ndr1_0) | c0_1(a352) | (~c1_1(a352)))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1658,plain,
% 1.06/0.96 ((hskp9 | (~ndr1_0) | c2_1(a352) | c0_1(a352) | (~c1_1(a352))) <=> (hskp9 | c2_1(a352) | (~ndr1_0) | c0_1(a352) | (~c1_1(a352)))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1659,plain,
% 1.06/0.96 (((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | (~ndr1_0) | c2_1(a352) | c0_1(a352) | (~c1_1(a352)))) <=> ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | c2_1(a352) | (~ndr1_0) | c0_1(a352) | (~c1_1(a352))))),
% 1.06/0.96 inference(monotonicity,[status(thm)],[1658])).
% 1.06/0.96 tff(1660,plain,
% 1.06/0.96 (((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | (~ndr1_0) | c2_1(a352) | c0_1(a352) | (~c1_1(a352)))) <=> ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp9 | c2_1(a352) | (~ndr1_0) | c0_1(a352) | (~c1_1(a352)))),
% 1.06/0.96 inference(transitivity,[status(thm)],[1659, 1657])).
% 1.06/0.96 tff(1661,plain,
% 1.06/0.96 ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp9 | (~ndr1_0) | c2_1(a352) | c0_1(a352) | (~c1_1(a352)))),
% 1.06/0.96 inference(quant_inst,[status(thm)],[])).
% 1.06/0.96 tff(1662,plain,
% 1.06/0.96 ((~![U: $i] : (hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp9 | c2_1(a352) | (~ndr1_0) | c0_1(a352) | (~c1_1(a352))),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1661, 1660])).
% 1.06/0.96 tff(1663,plain,
% 1.06/0.96 (c0_1(a352)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1662, 154, 1653, 1656, 1655, 228])).
% 1.06/0.96 tff(1664,plain,
% 1.06/0.96 (~c3_1(a352)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1595, 1654])).
% 1.06/0.96 tff(1665,plain,
% 1.06/0.96 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c2_1(a352) | c3_1(a352) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c0_1(a352)) | (~c1_1(a352)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a352) | c3_1(a352) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c0_1(a352)) | (~c1_1(a352)))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1666,plain,
% 1.06/0.96 (((~ndr1_0) | c2_1(a352) | (~c1_1(a352)) | c3_1(a352) | c3_1(a352) | c2_1(a352) | (~c0_1(a352)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269))) <=> (c2_1(a352) | c3_1(a352) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c0_1(a352)) | (~c1_1(a352)))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1667,plain,
% 1.06/0.96 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a352) | (~c1_1(a352)) | c3_1(a352) | c3_1(a352) | c2_1(a352) | (~c0_1(a352)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c2_1(a352) | c3_1(a352) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c0_1(a352)) | (~c1_1(a352))))),
% 1.06/0.96 inference(monotonicity,[status(thm)],[1666])).
% 1.06/0.96 tff(1668,plain,
% 1.06/0.96 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a352) | (~c1_1(a352)) | c3_1(a352) | c3_1(a352) | c2_1(a352) | (~c0_1(a352)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a352) | c3_1(a352) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c0_1(a352)) | (~c1_1(a352)))),
% 1.06/0.96 inference(transitivity,[status(thm)],[1667, 1665])).
% 1.06/0.96 tff(1669,plain,
% 1.06/0.96 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a352) | (~c1_1(a352)) | c3_1(a352) | c3_1(a352) | c2_1(a352) | (~c0_1(a352)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))),
% 1.06/0.96 inference(quant_inst,[status(thm)],[])).
% 1.06/0.96 tff(1670,plain,
% 1.06/0.96 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a352) | c3_1(a352) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c0_1(a352)) | (~c1_1(a352))),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1669, 1668])).
% 1.06/0.96 tff(1671,plain,
% 1.06/0.96 ($false),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1670, 154, 1656, 1060, 1655, 1664, 765, 30, 547, 1663])).
% 1.06/0.96 tff(1672,plain,((~hskp25) | (~c0_1(a269)) | c1_1(a269) | c2_1(a269) | hskp9), inference(lemma,lemma(discharge,[]))).
% 1.06/0.96 tff(1673,plain,
% 1.06/0.96 (~hskp25),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1672, 1653, 765, 30, 1060])).
% 1.06/0.96 tff(1674,assumption,(~hskp25), introduced(assumption)).
% 1.06/0.96 tff(1675,plain,
% 1.06/0.96 (~hskp12),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1577, 1569])).
% 1.06/0.96 tff(1676,plain,
% 1.06/0.96 ($false),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1589, 1675, 1569, 1674])).
% 1.06/0.96 tff(1677,plain,(hskp14 | hskp25), inference(lemma,lemma(discharge,[]))).
% 1.06/0.96 tff(1678,plain,
% 1.06/0.96 (hskp14),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1677, 1673])).
% 1.06/0.96 tff(1679,plain,
% 1.06/0.96 (~c2_1(a287)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[194, 1678])).
% 1.06/0.96 tff(1680,plain,
% 1.06/0.96 (~c0_1(a287)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[200, 1678])).
% 1.06/0.96 tff(1681,plain,
% 1.06/0.96 (c1_1(a287)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[238, 1678])).
% 1.06/0.96 tff(1682,plain,
% 1.06/0.96 ($false),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[245, 154, 1653, 1681, 1680, 1679, 228])).
% 1.06/0.96 tff(1683,plain,(hskp9 | c1_1(a269) | c2_1(a269) | (~c0_1(a269))), inference(lemma,lemma(discharge,[]))).
% 1.06/0.96 tff(1684,plain,
% 1.06/0.96 (hskp9),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1683, 765, 30, 1638])).
% 1.06/0.96 tff(1685,plain,
% 1.06/0.96 (~c1_1(a280)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[251, 1684])).
% 1.06/0.96 tff(1686,plain,
% 1.06/0.96 (c2_1(a280)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[290, 1684])).
% 1.06/0.96 tff(1687,plain,
% 1.06/0.96 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c0_1(a280)) | c0_1(a313))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c0_1(a280)) | c0_1(a313))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1688,plain,
% 1.06/0.96 (((~ndr1_0) | c1_1(a280) | (~c2_1(a280)) | (~c0_1(a280)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a313) | c1_1(a313) | c0_1(a313)) <=> (c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c0_1(a280)) | c0_1(a313))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1689,plain,
% 1.06/0.96 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a280) | (~c2_1(a280)) | (~c0_1(a280)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a313) | c1_1(a313) | c0_1(a313))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c0_1(a280)) | c0_1(a313)))),
% 1.06/0.96 inference(monotonicity,[status(thm)],[1688])).
% 1.06/0.96 tff(1690,plain,
% 1.06/0.96 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a280) | (~c2_1(a280)) | (~c0_1(a280)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a313) | c1_1(a313) | c0_1(a313))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c0_1(a280)) | c0_1(a313))),
% 1.06/0.96 inference(transitivity,[status(thm)],[1689, 1687])).
% 1.06/0.96 tff(1691,plain,
% 1.06/0.96 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a280) | (~c2_1(a280)) | (~c0_1(a280)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a313) | c1_1(a313) | c0_1(a313))),
% 1.06/0.96 inference(quant_inst,[status(thm)],[])).
% 1.06/0.96 tff(1692,plain,
% 1.06/0.96 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c0_1(a280)) | c0_1(a313)),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1691, 1690])).
% 1.06/0.96 tff(1693,plain,
% 1.06/0.96 (~c0_1(a280)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1692, 154, 1686, 1651, 1650, 1649, 1685, 696, 1652])).
% 1.06/0.96 tff(1694,plain,
% 1.06/0.96 (^[V: $i, U: $i] : refl((hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) <=> (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))))),
% 1.06/0.96 inference(bind,[status(th)],[])).
% 1.06/0.96 tff(1695,plain,
% 1.06/0.96 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.06/0.96 inference(quant_intro,[status(thm)],[1694])).
% 1.06/0.96 tff(1696,plain,
% 1.06/0.96 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1697,plain,
% 1.06/0.96 (^[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)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c2_1(V)))), ((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c2_1(V))))), (((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c0_1(U)) | (~c2_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c2_1(V)))), (((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c2_1(V))))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | 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) | c2_1(U) | c3_1(U) | (~c0_1(U)) | (~c2_1(V)))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | (~c2_1(V))))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c2_1(V))))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c2_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c2_1(V))) | c1_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)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_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) | (~c2_1(V))))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp5) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) | hskp5))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) | hskp5) <=> (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp5) <=> (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))))),
% 1.06/0.96 inference(bind,[status(th)],[])).
% 1.06/0.96 tff(1698,plain,
% 1.06/0.96 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp5) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.06/0.96 inference(quant_intro,[status(thm)],[1697])).
% 1.06/0.96 tff(1699,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause161')).
% 1.06/0.96 tff(1700,plain,
% 1.06/0.96 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1699, 1698])).
% 1.06/0.96 tff(1701,plain,
% 1.06/0.96 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1700, 1696])).
% 1.06/0.96 tff(1702,plain,(
% 1.06/0.96 ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.06/0.96 inference(skolemize,[status(sab)],[1701])).
% 1.06/0.96 tff(1703,plain,
% 1.06/0.96 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1702, 1695])).
% 1.06/0.96 tff(1704,assumption,(~hskp5), introduced(assumption)).
% 1.06/0.96 tff(1705,plain,
% 1.06/0.96 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp5 | c1_1(a280) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a280) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)) | c0_1(a280) | (~c2_1(a280)))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1706,plain,
% 1.06/0.96 ((hskp5 | (~ndr1_0) | c2_1(a269) | c3_1(a269) | (~c0_1(a269)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280))) <=> (hskp5 | c1_1(a280) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)) | c0_1(a280) | (~c2_1(a280)))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1707,plain,
% 1.06/0.96 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c2_1(a269) | c3_1(a269) | (~c0_1(a269)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp5 | c1_1(a280) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)) | c0_1(a280) | (~c2_1(a280))))),
% 1.06/0.96 inference(monotonicity,[status(thm)],[1706])).
% 1.06/0.96 tff(1708,plain,
% 1.06/0.96 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c2_1(a269) | c3_1(a269) | (~c0_1(a269)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a280) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)) | c0_1(a280) | (~c2_1(a280)))),
% 1.06/0.96 inference(transitivity,[status(thm)],[1707, 1705])).
% 1.06/0.96 tff(1709,plain,
% 1.06/0.96 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c2_1(a269) | c3_1(a269) | (~c0_1(a269)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))),
% 1.06/0.96 inference(quant_inst,[status(thm)],[])).
% 1.06/0.96 tff(1710,plain,
% 1.06/0.96 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a280) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)) | c0_1(a280) | (~c2_1(a280))),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1709, 1708])).
% 1.06/0.96 tff(1711,plain,
% 1.06/0.96 ($false),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1710, 154, 1704, 1686, 1638, 1685, 30, 1703, 1693, 1637])).
% 1.06/0.96 tff(1712,plain,(c1_1(a269) | hskp5 | c2_1(a269) | hskp16 | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.06/0.96 tff(1713,plain,
% 1.06/0.96 (hskp5),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1712, 1627, 1626, 43, 32])).
% 1.06/0.96 tff(1714,plain,
% 1.06/0.96 (~c1_1(a272)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[641, 1713])).
% 1.06/0.96 tff(1715,plain,
% 1.06/0.96 (~c3_1(a313)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[16, 1634])).
% 1.06/0.96 tff(1716,plain,
% 1.06/0.96 (c0_1(a272)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[652, 1713])).
% 1.06/0.96 tff(1717,plain,
% 1.06/0.96 (~c2_1(a313)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[22, 1634])).
% 1.06/0.96 tff(1718,plain,
% 1.06/0.96 (hskp18),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1449, 1717, 1716, 1715, 1714, 1635, 1633, 1632, 1631])).
% 1.06/0.96 tff(1719,plain,
% 1.06/0.96 (~c2_1(a298)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[584, 1718])).
% 1.06/0.96 tff(1720,plain,
% 1.06/0.96 (c3_1(a298)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[595, 1718])).
% 1.06/0.96 tff(1721,plain,
% 1.06/0.96 (~c3_1(a272)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[635, 1713])).
% 1.06/0.96 tff(1722,plain,
% 1.06/0.96 (c2_1(a274)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1068, 1631, 1626, 1625, 1627, 1632, 1633])).
% 1.06/0.96 tff(1723,plain,
% 1.06/0.96 (~hskp6),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1138, 1722, 1716, 1631, 1714, 1721, 1633])).
% 1.06/0.96 tff(1724,plain,
% 1.06/0.96 (c1_1(a298)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[606, 1718])).
% 1.06/0.96 tff(1725,plain,
% 1.06/0.96 (c0_1(a298)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1154, 1724, 1633, 1632, 1722, 43, 1723, 1720, 1719])).
% 1.06/0.96 tff(1726,plain,
% 1.06/0.96 (hskp9),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1683, 1627, 1626, 1625])).
% 1.06/0.96 tff(1727,plain,
% 1.06/0.96 (~c1_1(a280)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[251, 1726])).
% 1.06/0.96 tff(1728,plain,
% 1.06/0.96 (c3_1(a280)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[262, 1726])).
% 1.06/0.96 tff(1729,plain,
% 1.06/0.96 (c2_1(a280)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[290, 1726])).
% 1.06/0.96 tff(1730,plain,
% 1.06/0.96 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | c2_1(a298) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c1_1(a298)) | (~c0_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c2_1(a298) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c1_1(a298)) | (~c0_1(a298)))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1731,plain,
% 1.06/0.96 ((hskp8 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c0_1(a298)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280))) <=> (hskp8 | c2_1(a298) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c1_1(a298)) | (~c0_1(a298)))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1732,plain,
% 1.06/0.96 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c0_1(a298)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | c2_1(a298) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c1_1(a298)) | (~c0_1(a298))))),
% 1.06/0.96 inference(monotonicity,[status(thm)],[1731])).
% 1.06/0.96 tff(1733,plain,
% 1.06/0.96 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c0_1(a298)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c2_1(a298) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c1_1(a298)) | (~c0_1(a298)))),
% 1.06/0.96 inference(transitivity,[status(thm)],[1732, 1730])).
% 1.06/0.96 tff(1734,plain,
% 1.06/0.96 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c0_1(a298)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))),
% 1.06/0.96 inference(quant_inst,[status(thm)],[])).
% 1.06/0.96 tff(1735,plain,
% 1.06/0.96 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c2_1(a298) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c1_1(a298)) | (~c0_1(a298))),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1734, 1733])).
% 1.06/0.96 tff(1736,plain,
% 1.06/0.96 ($false),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1735, 154, 32, 1724, 1729, 1728, 1719, 1727, 1271, 1725])).
% 1.06/0.96 tff(1737,plain,(hskp8 | hskp16), inference(lemma,lemma(discharge,[]))).
% 1.06/0.96 tff(1738,plain,
% 1.06/0.96 (hskp8),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1737, 43])).
% 1.06/0.96 tff(1739,plain,
% 1.06/0.96 (~c3_1(a275)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[398, 1738])).
% 1.06/0.96 tff(1740,plain,
% 1.06/0.96 (~c2_1(a275)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[404, 1738])).
% 1.06/0.96 tff(1741,plain,
% 1.06/0.96 (~c0_1(a275)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[410, 1738])).
% 1.06/0.96 tff(1742,plain,
% 1.06/0.96 (hskp2 | c1_1(a275)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[967, 154, 1741, 1740, 1739, 10])).
% 1.06/0.96 tff(1743,plain,
% 1.06/0.96 (c1_1(a275)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1742, 54])).
% 1.06/0.96 tff(1744,plain,
% 1.06/0.96 (hskp9 | (~c1_1(a275))),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1391, 154, 1741, 1740, 228])).
% 1.06/0.96 tff(1745,plain,
% 1.06/0.96 (hskp9),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1744, 1743])).
% 1.06/0.96 tff(1746,plain,
% 1.06/0.96 (~c1_1(a280)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[251, 1745])).
% 1.06/0.96 tff(1747,plain,
% 1.06/0.96 (c3_1(a280)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[262, 1745])).
% 1.06/0.96 tff(1748,plain,
% 1.06/0.96 (c2_1(a280)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[290, 1745])).
% 1.06/0.96 tff(1749,plain,
% 1.06/0.96 (((~hskp30) | c0_1(a337)) <=> ((~hskp30) | c0_1(a337))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1750,axiom,((~hskp30) | c0_1(a337)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause42')).
% 1.06/0.96 tff(1751,plain,
% 1.06/0.96 ((~hskp30) | c0_1(a337)),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1750, 1749])).
% 1.06/0.96 tff(1752,plain,
% 1.06/0.96 ((~hskp30) | c0_1(a337)),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1751, 1749])).
% 1.06/0.96 tff(1753,plain,
% 1.06/0.96 ((~hskp30) | c0_1(a337)),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1752, 1749])).
% 1.06/0.96 tff(1754,plain,
% 1.06/0.96 ((~hskp30) | c0_1(a337)),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1753, 1749])).
% 1.06/0.96 tff(1755,plain,
% 1.06/0.96 ((~hskp30) | c0_1(a337)),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1754, 1749])).
% 1.06/0.96 tff(1756,plain,
% 1.06/0.96 ((~hskp30) | c0_1(a337)),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1755, 1749])).
% 1.06/0.96 tff(1757,plain,
% 1.06/0.96 ((~hskp30) | c0_1(a337)),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1756, 1749])).
% 1.06/0.96 tff(1758,plain,
% 1.06/0.96 ((~hskp30) | c0_1(a337)),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1757, 1749])).
% 1.06/0.96 tff(1759,plain,
% 1.06/0.96 (c0_1(a337)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1758, 1480])).
% 1.06/0.96 tff(1760,plain,
% 1.06/0.96 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp27 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c0_1(a337)) | (~c3_1(a337)) | (~c2_1(a337)) | (~c1_1(a275)))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp27 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c0_1(a337)) | (~c3_1(a337)) | (~c2_1(a337)) | (~c1_1(a275)))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1761,plain,
% 1.06/0.96 ((hskp27 | (~ndr1_0) | (~c2_1(a337)) | (~c3_1(a337)) | (~c0_1(a337)) | c0_1(a275) | c2_1(a275) | (~c1_1(a275))) <=> (hskp27 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c0_1(a337)) | (~c3_1(a337)) | (~c2_1(a337)) | (~c1_1(a275)))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1762,plain,
% 1.06/0.96 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp27 | (~ndr1_0) | (~c2_1(a337)) | (~c3_1(a337)) | (~c0_1(a337)) | c0_1(a275) | c2_1(a275) | (~c1_1(a275)))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp27 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c0_1(a337)) | (~c3_1(a337)) | (~c2_1(a337)) | (~c1_1(a275))))),
% 1.06/0.96 inference(monotonicity,[status(thm)],[1761])).
% 1.06/0.96 tff(1763,plain,
% 1.06/0.96 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp27 | (~ndr1_0) | (~c2_1(a337)) | (~c3_1(a337)) | (~c0_1(a337)) | c0_1(a275) | c2_1(a275) | (~c1_1(a275)))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp27 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c0_1(a337)) | (~c3_1(a337)) | (~c2_1(a337)) | (~c1_1(a275)))),
% 1.06/0.96 inference(transitivity,[status(thm)],[1762, 1760])).
% 1.06/0.96 tff(1764,plain,
% 1.06/0.96 ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp27 | (~ndr1_0) | (~c2_1(a337)) | (~c3_1(a337)) | (~c0_1(a337)) | c0_1(a275) | c2_1(a275) | (~c1_1(a275)))),
% 1.06/0.96 inference(quant_inst,[status(thm)],[])).
% 1.06/0.96 tff(1765,plain,
% 1.06/0.96 ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp27 | c0_1(a275) | c2_1(a275) | (~ndr1_0) | (~c0_1(a337)) | (~c3_1(a337)) | (~c2_1(a337)) | (~c1_1(a275))),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1764, 1763])).
% 1.06/0.96 tff(1766,plain,
% 1.06/0.96 (hskp27 | (~c1_1(a275))),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1765, 154, 1759, 1502, 1491, 1741, 1740, 823])).
% 1.06/0.96 tff(1767,plain,
% 1.06/0.96 (hskp27),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1766, 1743])).
% 1.06/0.96 tff(1768,plain,
% 1.06/0.96 (c3_1(a276)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[841, 1767])).
% 1.06/0.96 tff(1769,plain,
% 1.06/0.96 (c2_1(a276)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[852, 1767])).
% 1.06/0.96 tff(1770,plain,
% 1.06/0.96 (c1_1(a276)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[863, 1767])).
% 1.06/0.96 tff(1771,plain,
% 1.06/0.96 (~c0_1(a280)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[870, 154, 1770, 1769, 1768, 1748, 1747, 1746, 53])).
% 1.06/0.96 tff(1772,plain,
% 1.06/0.96 (hskp3),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[297, 154, 1748, 1747, 1746, 280, 1771])).
% 1.06/0.96 tff(1773,plain,
% 1.06/0.96 (c3_1(a270)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[314, 1772])).
% 1.06/0.96 tff(1774,assumption,(~c0_1(a280)), introduced(assumption)).
% 1.06/0.96 tff(1775,assumption,(~c1_1(a280)), introduced(assumption)).
% 1.06/0.96 tff(1776,assumption,(c2_1(a280)), introduced(assumption)).
% 1.06/0.96 tff(1777,plain,
% 1.06/0.96 (((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp4 | c1_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c0_1(a313)))) <=> ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp4 | c1_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c0_1(a313)))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1778,plain,
% 1.06/0.96 ((hskp4 | (~ndr1_0) | c1_1(a313) | c3_1(a313) | (~c0_1(a313)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280))) <=> (hskp4 | c1_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c0_1(a313)))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1779,plain,
% 1.06/0.96 (((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp4 | (~ndr1_0) | c1_1(a313) | c3_1(a313) | (~c0_1(a313)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp4 | c1_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c0_1(a313))))),
% 1.06/0.96 inference(monotonicity,[status(thm)],[1778])).
% 1.06/0.96 tff(1780,plain,
% 1.06/0.96 (((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp4 | (~ndr1_0) | c1_1(a313) | c3_1(a313) | (~c0_1(a313)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp4 | c1_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c0_1(a313)))),
% 1.06/0.96 inference(transitivity,[status(thm)],[1779, 1777])).
% 1.06/0.96 tff(1781,plain,
% 1.06/0.96 ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp4 | (~ndr1_0) | c1_1(a313) | c3_1(a313) | (~c0_1(a313)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))),
% 1.06/0.96 inference(quant_inst,[status(thm)],[])).
% 1.06/0.96 tff(1782,plain,
% 1.06/0.96 ((~![V: $i, U: $i] : (hskp4 | (~ndr1_0) | c1_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp4 | c1_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c0_1(a313))),
% 1.06/0.96 inference(modus_ponens,[status(thm)],[1781, 1780])).
% 1.06/0.96 tff(1783,plain,
% 1.06/0.96 (~c0_1(a313)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1782, 154, 509, 1776, 29, 17, 1775, 628, 1774])).
% 1.06/0.96 tff(1784,plain,
% 1.06/0.96 ($false),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[534, 154, 54, 29, 23, 17, 10, 1783])).
% 1.06/0.96 tff(1785,plain,((~hskp23) | hskp2 | hskp4 | (~c2_1(a280)) | c1_1(a280) | c0_1(a280)), inference(lemma,lemma(discharge,[]))).
% 1.06/0.96 tff(1786,plain,
% 1.06/0.96 (~hskp23),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[1785, 54, 420, 1748, 1746, 1771])).
% 1.06/0.96 tff(1787,plain,
% 1.06/0.96 (~c2_1(a270)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[303, 1772])).
% 1.06/0.96 tff(1788,plain,
% 1.06/0.96 (c0_1(a270)),
% 1.06/0.96 inference(unit_resolution,[status(thm)],[372, 1772])).
% 1.06/0.96 tff(1789,assumption,(c1_1(a270)), introduced(assumption)).
% 1.06/0.96 tff(1790,assumption,(~c2_1(a270)), introduced(assumption)).
% 1.06/0.96 tff(1791,assumption,(c3_1(a270)), introduced(assumption)).
% 1.06/0.96 tff(1792,assumption,(c3_1(a276)), introduced(assumption)).
% 1.06/0.96 tff(1793,assumption,(c1_1(a276)), introduced(assumption)).
% 1.06/0.96 tff(1794,plain,
% 1.06/0.96 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c3_1(a276)) | (~c1_1(a276)) | (~c0_1(a276)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c3_1(a276)) | (~c1_1(a276)) | (~c0_1(a276)))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1795,plain,
% 1.06/0.96 ((hskp23 | (~ndr1_0) | (~c1_1(a276)) | (~c3_1(a276)) | (~c0_1(a276)) | c2_1(a270) | (~c3_1(a270)) | (~c1_1(a270))) <=> (hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c3_1(a276)) | (~c1_1(a276)) | (~c0_1(a276)))),
% 1.06/0.96 inference(rewrite,[status(thm)],[])).
% 1.06/0.96 tff(1796,plain,
% 1.06/0.96 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a276)) | (~c3_1(a276)) | (~c0_1(a276)) | c2_1(a270) | (~c3_1(a270)) | (~c1_1(a270)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c3_1(a276)) | (~c1_1(a276)) | (~c0_1(a276))))),
% 1.06/0.96 inference(monotonicity,[status(thm)],[1795])).
% 1.06/0.96 tff(1797,plain,
% 1.06/0.96 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a276)) | (~c3_1(a276)) | (~c0_1(a276)) | c2_1(a270) | (~c3_1(a270)) | (~c1_1(a270)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c3_1(a276)) | (~c1_1(a276)) | (~c0_1(a276)))),
% 1.06/0.97 inference(transitivity,[status(thm)],[1796, 1794])).
% 1.06/0.97 tff(1798,plain,
% 1.06/0.97 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a276)) | (~c3_1(a276)) | (~c0_1(a276)) | c2_1(a270) | (~c3_1(a270)) | (~c1_1(a270)))),
% 1.06/0.97 inference(quant_inst,[status(thm)],[])).
% 1.06/0.97 tff(1799,plain,
% 1.06/0.97 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c3_1(a276)) | (~c1_1(a276)) | (~c0_1(a276))),
% 1.06/0.97 inference(modus_ponens,[status(thm)],[1798, 1797])).
% 1.06/0.97 tff(1800,plain,
% 1.06/0.97 (hskp23 | (~c1_1(a270)) | (~c0_1(a276))),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1799, 154, 1793, 1792, 1791, 1790, 42])).
% 1.06/0.97 tff(1801,plain,
% 1.06/0.97 (~c0_1(a276)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1800, 1789, 31])).
% 1.06/0.97 tff(1802,assumption,(c0_1(a270)), introduced(assumption)).
% 1.06/0.97 tff(1803,plain,
% 1.06/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a280) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c3_1(a276)) | (~c1_1(a276)) | c0_1(a276) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a280) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c3_1(a276)) | (~c1_1(a276)) | c0_1(a276) | c0_1(a280) | (~c2_1(a280)))),
% 1.06/0.97 inference(rewrite,[status(thm)],[])).
% 1.06/0.97 tff(1804,plain,
% 1.06/0.97 (((~ndr1_0) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a276) | (~c3_1(a276)) | (~c1_1(a276)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280))) <=> (c1_1(a280) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c3_1(a276)) | (~c1_1(a276)) | c0_1(a276) | c0_1(a280) | (~c2_1(a280)))),
% 1.06/0.97 inference(rewrite,[status(thm)],[])).
% 1.06/0.97 tff(1805,plain,
% 1.06/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a276) | (~c3_1(a276)) | (~c1_1(a276)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a280) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c3_1(a276)) | (~c1_1(a276)) | c0_1(a276) | c0_1(a280) | (~c2_1(a280))))),
% 1.06/0.97 inference(monotonicity,[status(thm)],[1804])).
% 1.06/0.97 tff(1806,plain,
% 1.06/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a276) | (~c3_1(a276)) | (~c1_1(a276)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a280) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c3_1(a276)) | (~c1_1(a276)) | c0_1(a276) | c0_1(a280) | (~c2_1(a280)))),
% 1.06/0.97 inference(transitivity,[status(thm)],[1805, 1803])).
% 1.06/0.97 tff(1807,plain,
% 1.06/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a276) | (~c3_1(a276)) | (~c1_1(a276)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))),
% 1.06/0.97 inference(quant_inst,[status(thm)],[])).
% 1.06/0.97 tff(1808,plain,
% 1.06/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a280) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c3_1(a276)) | (~c1_1(a276)) | c0_1(a276) | c0_1(a280) | (~c2_1(a280))),
% 1.06/0.97 inference(modus_ponens,[status(thm)],[1807, 1806])).
% 1.06/0.97 tff(1809,plain,
% 1.06/0.97 ($false),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1808, 154, 1793, 1792, 1776, 1802, 1775, 1790, 332, 1774, 1789, 1801])).
% 1.06/0.97 tff(1810,plain,((~c1_1(a270)) | (~c1_1(a276)) | (~c3_1(a276)) | (~c2_1(a280)) | (~c0_1(a270)) | c1_1(a280) | c2_1(a270) | c0_1(a280) | hskp23 | (~c3_1(a270))), inference(lemma,lemma(discharge,[]))).
% 1.06/0.97 tff(1811,plain,
% 1.06/0.97 (~c1_1(a270)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1810, 1770, 1768, 1748, 1788, 1746, 1787, 1771, 1786, 1773])).
% 1.06/0.97 tff(1812,assumption,(hskp7), introduced(assumption)).
% 1.06/0.97 tff(1813,plain,
% 1.06/0.97 (c0_1(a274)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[430, 1812])).
% 1.06/0.97 tff(1814,assumption,(~c1_1(a270)), introduced(assumption)).
% 1.06/0.97 tff(1815,assumption,(~c3_1(a275)), introduced(assumption)).
% 1.06/0.97 tff(1816,assumption,(~c0_1(a275)), introduced(assumption)).
% 1.06/0.97 tff(1817,assumption,(c1_1(a275)), introduced(assumption)).
% 1.06/0.97 tff(1818,plain,
% 1.06/0.97 (c1_1(a274)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[83, 1812])).
% 1.06/0.97 tff(1819,plain,
% 1.06/0.97 (~c3_1(a274)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[72, 1812])).
% 1.06/0.97 tff(1820,plain,
% 1.06/0.97 ($false),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1056, 154, 444, 443, 1802, 1791, 1816, 1815, 442, 1050, 1817, 1814])).
% 1.06/0.97 tff(1821,plain,(c1_1(a270) | (~c0_1(a274)) | (~c1_1(a274)) | (~c0_1(a270)) | (~c3_1(a270)) | c0_1(a275) | c3_1(a275) | c3_1(a274) | (~c1_1(a275))), inference(lemma,lemma(discharge,[]))).
% 1.06/0.97 tff(1822,plain,
% 1.06/0.97 ($false),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1821, 1819, 1818, 1817, 1802, 1791, 1816, 1815, 1814, 1813])).
% 1.06/0.97 tff(1823,plain,((~hskp7) | (~c1_1(a275)) | (~c0_1(a270)) | (~c3_1(a270)) | c0_1(a275) | c3_1(a275) | c1_1(a270)), inference(lemma,lemma(discharge,[]))).
% 1.06/0.97 tff(1824,plain,
% 1.06/0.97 (~hskp7),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1823, 1743, 1788, 1773, 1741, 1739, 1811])).
% 1.06/0.97 tff(1825,plain,
% 1.06/0.97 (hskp18),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[66, 1824, 43])).
% 1.06/0.97 tff(1826,plain,
% 1.06/0.97 (~c2_1(a298)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[584, 1825])).
% 1.06/0.97 tff(1827,plain,
% 1.06/0.97 (c3_1(a298)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[595, 1825])).
% 1.06/0.97 tff(1828,plain,
% 1.06/0.97 (c1_1(a298)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[606, 1825])).
% 1.06/0.97 tff(1829,plain,
% 1.06/0.97 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | c2_1(a298) | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c1_1(a298)) | (~c3_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c2_1(a298) | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 1.06/0.97 inference(rewrite,[status(thm)],[])).
% 1.06/0.97 tff(1830,plain,
% 1.06/0.97 ((hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a270) | c2_1(a270) | (~c0_1(a270))) <=> (hskp7 | c2_1(a298) | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 1.06/0.97 inference(rewrite,[status(thm)],[])).
% 1.06/0.97 tff(1831,plain,
% 1.06/0.97 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a270) | c2_1(a270) | (~c0_1(a270)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | c2_1(a298) | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c1_1(a298)) | (~c3_1(a298))))),
% 1.06/0.97 inference(monotonicity,[status(thm)],[1830])).
% 1.06/0.97 tff(1832,plain,
% 1.06/0.97 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a270) | c2_1(a270) | (~c0_1(a270)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c2_1(a298) | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 1.06/0.97 inference(transitivity,[status(thm)],[1831, 1829])).
% 1.06/0.97 tff(1833,plain,
% 1.06/0.97 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c1_1(a270) | c2_1(a270) | (~c0_1(a270)))),
% 1.06/0.97 inference(quant_inst,[status(thm)],[])).
% 1.06/0.97 tff(1834,plain,
% 1.06/0.97 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c2_1(a298) | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c1_1(a298)) | (~c3_1(a298))),
% 1.06/0.97 inference(modus_ponens,[status(thm)],[1833, 1832])).
% 1.06/0.97 tff(1835,plain,
% 1.06/0.97 ($false),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1834, 154, 1824, 1828, 1827, 1788, 1826, 1787, 669, 1811])).
% 1.06/0.97 tff(1836,plain,(hskp2 | hskp16), inference(lemma,lemma(discharge,[]))).
% 1.06/0.97 tff(1837,plain,
% 1.06/0.97 (hskp2),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1836, 43])).
% 1.06/0.97 tff(1838,plain,
% 1.06/0.97 (~c1_1(a269)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[894, 1837])).
% 1.06/0.97 tff(1839,plain,
% 1.06/0.97 (~c2_1(a269)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1415, 1837])).
% 1.06/0.97 tff(1840,plain,
% 1.06/0.97 (c1_1(a275)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1742, 941])).
% 1.06/0.97 tff(1841,plain,
% 1.06/0.97 (hskp9),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1744, 1840])).
% 1.06/0.97 tff(1842,plain,
% 1.06/0.97 (~c1_1(a280)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[251, 1841])).
% 1.06/0.97 tff(1843,plain,
% 1.06/0.97 (c3_1(a280)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[262, 1841])).
% 1.06/0.97 tff(1844,plain,
% 1.06/0.97 (c2_1(a280)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[290, 1841])).
% 1.06/0.97 tff(1845,plain,
% 1.06/0.97 (hskp27),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1766, 1840])).
% 1.06/0.97 tff(1846,plain,
% 1.06/0.97 (c3_1(a276)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[841, 1845])).
% 1.06/0.97 tff(1847,plain,
% 1.06/0.97 (c2_1(a276)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[852, 1845])).
% 1.06/0.97 tff(1848,plain,
% 1.06/0.97 (c1_1(a276)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[863, 1845])).
% 1.06/0.97 tff(1849,plain,
% 1.06/0.97 (~c0_1(a280)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[870, 154, 1848, 1847, 1846, 1844, 1843, 1842, 53])).
% 1.06/0.97 tff(1850,plain,
% 1.06/0.97 (~hskp4),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[419, 941, 43])).
% 1.06/0.97 tff(1851,plain,
% 1.06/0.97 (hskp3),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[297, 154, 1844, 1843, 1842, 280, 1849])).
% 1.06/0.97 tff(1852,plain,
% 1.06/0.97 (~c2_1(a270)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[303, 1851])).
% 1.06/0.97 tff(1853,plain,
% 1.06/0.97 (c3_1(a269)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[949, 801, 765, 30])).
% 1.06/0.97 tff(1854,plain,
% 1.06/0.97 (c3_1(a270)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[314, 1851])).
% 1.06/0.97 tff(1855,plain,
% 1.06/0.97 (c0_1(a270)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[372, 1851])).
% 1.06/0.97 tff(1856,plain,
% 1.06/0.97 (c1_1(a270)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1821, 1855, 443, 444, 1854, 1741, 1739, 442, 1840])).
% 1.06/0.97 tff(1857,plain,
% 1.06/0.97 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c3_1(a270)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c3_1(a270)))),
% 1.06/0.97 inference(rewrite,[status(thm)],[])).
% 1.06/0.97 tff(1858,plain,
% 1.06/0.97 ((hskp23 | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c0_1(a270)) | c2_1(a270) | (~c3_1(a270)) | (~c1_1(a270))) <=> (hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c3_1(a270)))),
% 1.06/0.97 inference(rewrite,[status(thm)],[])).
% 1.06/0.97 tff(1859,plain,
% 1.06/0.97 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c0_1(a270)) | c2_1(a270) | (~c3_1(a270)) | (~c1_1(a270)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c3_1(a270))))),
% 1.06/0.97 inference(monotonicity,[status(thm)],[1858])).
% 1.06/0.97 tff(1860,plain,
% 1.06/0.97 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c0_1(a270)) | c2_1(a270) | (~c3_1(a270)) | (~c1_1(a270)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c3_1(a270)))),
% 1.06/0.97 inference(transitivity,[status(thm)],[1859, 1857])).
% 1.06/0.97 tff(1861,plain,
% 1.06/0.97 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | (~c0_1(a270)) | c2_1(a270) | (~c3_1(a270)) | (~c1_1(a270)))),
% 1.06/0.97 inference(quant_inst,[status(thm)],[])).
% 1.06/0.97 tff(1862,plain,
% 1.06/0.97 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c3_1(a270))),
% 1.06/0.97 inference(modus_ponens,[status(thm)],[1861, 1860])).
% 1.06/0.97 tff(1863,plain,
% 1.06/0.97 (hskp23),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1862, 154, 1855, 1854, 1852, 42, 1856])).
% 1.06/0.97 tff(1864,plain,
% 1.06/0.97 (~c1_1(a313)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[28, 1863])).
% 1.06/0.97 tff(1865,plain,
% 1.06/0.97 (~c3_1(a313)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[16, 1863])).
% 1.06/0.97 tff(1866,plain,
% 1.06/0.97 (c3_1(a313) | (~c0_1(a313))),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1782, 154, 509, 1776, 550, 1775, 628, 1774])).
% 1.06/0.97 tff(1867,plain,
% 1.06/0.97 (~c0_1(a313)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1866, 548])).
% 1.06/0.97 tff(1868,plain,
% 1.06/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a269) | c1_1(a313) | (~c2_1(a313)) | c3_1(a313) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a269) | c1_1(a313) | (~c2_1(a313)) | c3_1(a313) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)))),
% 1.06/0.97 inference(rewrite,[status(thm)],[])).
% 1.06/0.97 tff(1869,plain,
% 1.06/0.97 (((~ndr1_0) | c1_1(a313) | c3_1(a313) | (~c2_1(a313)) | c1_1(a269) | c2_1(a269) | (~c3_1(a269)) | c2_1(a269) | c1_1(a269) | c0_1(a269)) <=> (c0_1(a269) | c1_1(a313) | (~c2_1(a313)) | c3_1(a313) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)))),
% 1.06/0.97 inference(rewrite,[status(thm)],[])).
% 1.06/0.97 tff(1870,plain,
% 1.06/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a313) | c3_1(a313) | (~c2_1(a313)) | c1_1(a269) | c2_1(a269) | (~c3_1(a269)) | c2_1(a269) | c1_1(a269) | c0_1(a269))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a269) | c1_1(a313) | (~c2_1(a313)) | c3_1(a313) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269))))),
% 1.06/0.97 inference(monotonicity,[status(thm)],[1869])).
% 1.06/0.97 tff(1871,plain,
% 1.06/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a313) | c3_1(a313) | (~c2_1(a313)) | c1_1(a269) | c2_1(a269) | (~c3_1(a269)) | c2_1(a269) | c1_1(a269) | c0_1(a269))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a269) | c1_1(a313) | (~c2_1(a313)) | c3_1(a313) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)))),
% 1.06/0.97 inference(transitivity,[status(thm)],[1870, 1868])).
% 1.06/0.97 tff(1872,plain,
% 1.06/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a313) | c3_1(a313) | (~c2_1(a313)) | c1_1(a269) | c2_1(a269) | (~c3_1(a269)) | c2_1(a269) | c1_1(a269) | c0_1(a269))),
% 1.06/0.97 inference(quant_inst,[status(thm)],[])).
% 1.06/0.97 tff(1873,plain,
% 1.06/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a269) | c1_1(a313) | (~c2_1(a313)) | c3_1(a313) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269))),
% 1.06/0.97 inference(modus_ponens,[status(thm)],[1872, 1871])).
% 1.06/0.97 tff(1874,plain,
% 1.06/0.97 ((~c2_1(a313)) | c3_1(a313)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1873, 154, 801, 550, 765, 30, 782, 1853])).
% 1.06/0.97 tff(1875,plain,
% 1.06/0.97 (~c2_1(a313)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1874, 548])).
% 1.06/0.97 tff(1876,plain,
% 1.06/0.97 ($false),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[534, 154, 941, 550, 1875, 548, 10, 1867])).
% 1.06/0.97 tff(1877,plain,(c3_1(a313) | c1_1(a313) | hskp4 | (~c2_1(a280)) | c1_1(a280) | c0_1(a280) | c0_1(a269) | c1_1(a269) | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.06/0.97 tff(1878,plain,
% 1.06/0.97 ($false),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1877, 1865, 1864, 1850, 1844, 1842, 1849, 801, 765, 30])).
% 1.06/0.97 tff(1879,plain,(c0_1(a269) | c1_1(a269) | c2_1(a269) | (~c1_1(a274)) | (~c0_1(a274)) | c3_1(a274) | hskp16), inference(lemma,lemma(discharge,[]))).
% 1.06/0.97 tff(1880,plain,
% 1.06/0.97 (c0_1(a269)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1879, 84, 30, 765, 431, 73, 43])).
% 1.06/0.97 tff(1881,plain,
% 1.06/0.97 (c2_1(a274)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1068, 1880, 765, 73, 30, 84, 431])).
% 1.06/0.97 tff(1882,plain,
% 1.06/0.97 ((~c0_1(a269)) | (~c2_1(a274))),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1085, 154, 55, 431, 84, 765, 30, 569])).
% 1.06/0.97 tff(1883,plain,
% 1.06/0.97 ($false),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1882, 1881, 1880])).
% 1.06/0.97 tff(1884,plain,(hskp18 | c1_1(a269) | c2_1(a269) | hskp16), inference(lemma,lemma(discharge,[]))).
% 1.06/0.97 tff(1885,plain,
% 1.06/0.97 (hskp18),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1884, 765, 30, 43])).
% 1.06/0.97 tff(1886,plain,
% 1.06/0.97 (~c2_1(a298)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[584, 1885])).
% 1.06/0.97 tff(1887,plain,
% 1.06/0.97 (c3_1(a298)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[595, 1885])).
% 1.06/0.97 tff(1888,plain,
% 1.06/0.97 (c1_1(a298)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[606, 1885])).
% 1.06/0.97 tff(1889,plain,
% 1.06/0.97 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c0_1(a269) | c2_1(a298) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c1_1(a298)) | (~c3_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c0_1(a269) | c2_1(a298) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 1.06/0.97 inference(rewrite,[status(thm)],[])).
% 1.06/0.97 tff(1890,plain,
% 1.06/0.97 ((hskp11 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c0_1(a269) | c2_1(a269) | (~c3_1(a269))) <=> (hskp11 | c0_1(a269) | c2_1(a298) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 1.06/0.97 inference(rewrite,[status(thm)],[])).
% 1.06/0.97 tff(1891,plain,
% 1.06/0.97 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c0_1(a269) | c2_1(a269) | (~c3_1(a269)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c0_1(a269) | c2_1(a298) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c1_1(a298)) | (~c3_1(a298))))),
% 1.06/0.97 inference(monotonicity,[status(thm)],[1890])).
% 1.06/0.97 tff(1892,plain,
% 1.06/0.97 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c0_1(a269) | c2_1(a269) | (~c3_1(a269)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c0_1(a269) | c2_1(a298) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c1_1(a298)) | (~c3_1(a298)))),
% 1.06/0.97 inference(transitivity,[status(thm)],[1891, 1889])).
% 1.06/0.97 tff(1893,plain,
% 1.06/0.97 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a298) | (~c1_1(a298)) | (~c3_1(a298)) | c0_1(a269) | c2_1(a269) | (~c3_1(a269)))),
% 1.06/0.97 inference(quant_inst,[status(thm)],[])).
% 1.06/0.97 tff(1894,plain,
% 1.06/0.97 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c0_1(a269) | c2_1(a298) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c1_1(a298)) | (~c3_1(a298))),
% 1.06/0.97 inference(modus_ponens,[status(thm)],[1893, 1892])).
% 1.06/0.97 tff(1895,plain,
% 1.06/0.97 (hskp11),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1894, 154, 1888, 1887, 801, 1886, 30, 342, 1853])).
% 1.06/0.97 tff(1896,plain,
% 1.06/0.97 (~c1_1(a282)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[355, 1895])).
% 1.06/0.97 tff(1897,plain,
% 1.06/0.97 (~c0_1(a282)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[361, 1895])).
% 1.06/0.97 tff(1898,plain,
% 1.06/0.97 (c2_1(a282)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[383, 1895])).
% 1.06/0.97 tff(1899,assumption,(~c1_1(a282)), introduced(assumption)).
% 1.06/0.97 tff(1900,assumption,(~c0_1(a282)), introduced(assumption)).
% 1.06/0.97 tff(1901,assumption,(c2_1(a282)), introduced(assumption)).
% 1.06/0.97 tff(1902,plain,
% 1.06/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a282) | c1_1(a282) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a282)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a282) | c1_1(a282) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a282)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))),
% 1.06/0.97 inference(rewrite,[status(thm)],[])).
% 1.06/0.97 tff(1903,plain,
% 1.06/0.97 (((~ndr1_0) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298)) | c1_1(a282) | c0_1(a282) | (~c2_1(a282))) <=> (c0_1(a282) | c1_1(a282) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a282)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))),
% 1.06/0.97 inference(rewrite,[status(thm)],[])).
% 1.06/0.97 tff(1904,plain,
% 1.06/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298)) | c1_1(a282) | c0_1(a282) | (~c2_1(a282)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a282) | c1_1(a282) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a282)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298))))),
% 1.06/0.97 inference(monotonicity,[status(thm)],[1903])).
% 1.06/0.97 tff(1905,plain,
% 1.06/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298)) | c1_1(a282) | c0_1(a282) | (~c2_1(a282)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a282) | c1_1(a282) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a282)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))),
% 1.06/0.97 inference(transitivity,[status(thm)],[1904, 1902])).
% 1.06/0.97 tff(1906,plain,
% 1.06/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298)) | c1_1(a282) | c0_1(a282) | (~c2_1(a282)))),
% 1.06/0.97 inference(quant_inst,[status(thm)],[])).
% 1.06/0.97 tff(1907,plain,
% 1.06/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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(a282) | c1_1(a282) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a282)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298))),
% 1.06/0.97 inference(modus_ponens,[status(thm)],[1906, 1905])).
% 1.06/0.97 tff(1908,plain,
% 1.06/0.97 (~c1_1(a270)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1907, 154, 672, 671, 1901, 1802, 1900, 1899, 1790, 332, 1140])).
% 1.06/0.97 tff(1909,plain,
% 1.06/0.97 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c3_1(a270)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp16 | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c3_1(a270)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))),
% 1.06/0.97 inference(rewrite,[status(thm)],[])).
% 1.06/0.97 tff(1910,plain,
% 1.06/0.97 ((hskp16 | (~ndr1_0) | c1_1(a270) | (~c3_1(a270)) | (~c0_1(a270)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298))) <=> (hskp16 | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c3_1(a270)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))),
% 1.06/0.97 inference(rewrite,[status(thm)],[])).
% 1.06/0.97 tff(1911,plain,
% 1.06/0.97 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c1_1(a270) | (~c3_1(a270)) | (~c0_1(a270)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c3_1(a270)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298))))),
% 1.06/0.97 inference(monotonicity,[status(thm)],[1910])).
% 1.06/0.97 tff(1912,plain,
% 1.06/0.97 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c1_1(a270) | (~c3_1(a270)) | (~c0_1(a270)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp16 | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c3_1(a270)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298)))),
% 1.06/0.97 inference(transitivity,[status(thm)],[1911, 1909])).
% 1.06/0.97 tff(1913,plain,
% 1.06/0.97 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | c1_1(a270) | (~c3_1(a270)) | (~c0_1(a270)) | c0_1(a298) | (~c3_1(a298)) | (~c1_1(a298)))),
% 1.06/0.97 inference(quant_inst,[status(thm)],[])).
% 1.06/0.97 tff(1914,plain,
% 1.06/0.97 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp16 | (~ndr1_0) | c1_1(a270) | (~c0_1(a270)) | (~c3_1(a270)) | (~c1_1(a298)) | c0_1(a298) | (~c3_1(a298))),
% 1.06/0.97 inference(modus_ponens,[status(thm)],[1913, 1912])).
% 1.06/0.97 tff(1915,plain,
% 1.06/0.97 ($false),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1914, 154, 43, 672, 671, 1802, 1791, 218, 1140, 1908])).
% 1.06/0.97 tff(1916,plain,(c0_1(a298) | hskp16 | (~c1_1(a298)) | (~c3_1(a298)) | (~c0_1(a270)) | (~c3_1(a270)) | (~c2_1(a282)) | c0_1(a282) | c1_1(a282) | c2_1(a270)), inference(lemma,lemma(discharge,[]))).
% 1.06/0.97 tff(1917,plain,
% 1.06/0.97 (c0_1(a298)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1916, 1855, 1888, 1887, 43, 1854, 1898, 1897, 1896, 1852])).
% 1.06/0.97 tff(1918,plain,
% 1.06/0.97 (hskp23 | (~c0_1(a298))),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[711, 154, 1888, 1887, 1886, 42])).
% 1.06/0.97 tff(1919,plain,
% 1.06/0.97 (hskp23),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1918, 1917])).
% 1.06/0.97 tff(1920,plain,
% 1.06/0.97 (~c1_1(a313)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[28, 1919])).
% 1.06/0.97 tff(1921,plain,
% 1.06/0.97 (~c3_1(a313)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[16, 1919])).
% 1.06/0.97 tff(1922,plain,
% 1.06/0.97 ($false),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1877, 1921, 1920, 1850, 1844, 1842, 1849, 801, 765, 30])).
% 1.06/0.97 tff(1923,plain,(c0_1(a269) | c1_1(a269) | c2_1(a269) | hskp16), inference(lemma,lemma(discharge,[]))).
% 1.06/0.97 tff(1924,plain,
% 1.06/0.97 (c0_1(a269)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1923, 765, 30, 43])).
% 1.06/0.97 tff(1925,plain,
% 1.06/0.97 (hskp7),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1629, 1924, 30, 765, 43])).
% 1.06/0.97 tff(1926,plain,
% 1.06/0.97 (c0_1(a274)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[430, 1925])).
% 1.06/0.97 tff(1927,plain,
% 1.06/0.97 (c1_1(a274)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[83, 1925])).
% 1.06/0.97 tff(1928,plain,
% 1.06/0.97 (~c3_1(a274)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[72, 1925])).
% 1.06/0.97 tff(1929,plain,
% 1.06/0.97 (c2_1(a274)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1068, 1928, 765, 1924, 30, 1927, 1926])).
% 1.06/0.97 tff(1930,plain,
% 1.06/0.97 (hskp0),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1171, 154, 1926, 1927, 1928, 1165, 1929])).
% 1.06/0.97 tff(1931,plain,
% 1.06/0.97 (~c3_1(a267)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1178, 1930])).
% 1.06/0.97 tff(1932,plain,
% 1.06/0.97 (hskp23),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1197, 1926, 765, 30, 1924, 1927, 1928])).
% 1.06/0.97 tff(1933,plain,
% 1.06/0.97 (~c2_1(a313)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[22, 1932])).
% 1.06/0.97 tff(1934,plain,
% 1.06/0.97 (~c1_1(a313)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[28, 1932])).
% 1.06/0.97 tff(1935,plain,
% 1.06/0.97 (~c3_1(a313)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[16, 1932])).
% 1.06/0.97 tff(1936,plain,
% 1.06/0.97 (~c0_1(a313)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1621, 1929, 1888, 1935, 1934, 1887, 1926, 1927, 1933, 43, 1886, 1928])).
% 1.06/0.97 tff(1937,plain,
% 1.06/0.97 (hskp9),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[1683, 1924, 30, 765])).
% 1.06/0.97 tff(1938,plain,
% 1.06/0.97 (~c1_1(a280)),
% 1.06/0.97 inference(unit_resolution,[status(thm)],[251, 1937])).
% 1.06/0.98 tff(1939,plain,
% 1.06/0.98 (c2_1(a280)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[290, 1937])).
% 1.06/0.98 tff(1940,plain,
% 1.06/0.98 (~c0_1(a280)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1692, 154, 1939, 1934, 1933, 1935, 1938, 696, 1936])).
% 1.06/0.98 tff(1941,plain,
% 1.06/0.98 (c3_1(a280)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[262, 1937])).
% 1.06/0.98 tff(1942,plain,
% 1.06/0.98 (hskp6),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1152, 154, 1941, 1926, 1927, 1938, 1079, 1940, 1929])).
% 1.06/0.98 tff(1943,plain,
% 1.06/0.98 (~c0_1(a273)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1107, 1942])).
% 1.06/0.98 tff(1944,plain,
% 1.06/0.98 (c0_1(a267)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1317, 1930])).
% 1.06/0.98 tff(1945,plain,
% 1.06/0.98 (c2_1(a273)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1118, 1942])).
% 1.06/0.98 tff(1946,plain,
% 1.06/0.98 (c1_1(a273)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1129, 1942])).
% 1.06/0.98 tff(1947,plain,
% 1.06/0.98 (((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | (c3_1(a274) | c0_1(a273) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | c1_1(a267) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274)))) <=> ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | c3_1(a274) | c0_1(a273) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | c1_1(a267) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274)))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(1948,plain,
% 1.06/0.98 (((~ndr1_0) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a267) | c1_1(a267) | (~c0_1(a267)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273))) <=> (c3_1(a274) | c0_1(a273) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | c1_1(a267) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274)))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(1949,plain,
% 1.06/0.98 (((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a267) | c1_1(a267) | (~c0_1(a267)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273)))) <=> ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | (c3_1(a274) | c0_1(a273) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | c1_1(a267) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274))))),
% 1.06/0.98 inference(monotonicity,[status(thm)],[1948])).
% 1.06/0.98 tff(1950,plain,
% 1.06/0.98 (((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a267) | c1_1(a267) | (~c0_1(a267)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273)))) <=> ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | c3_1(a274) | c0_1(a273) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | c1_1(a267) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274)))),
% 1.06/0.98 inference(transitivity,[status(thm)],[1949, 1947])).
% 1.06/0.98 tff(1951,plain,
% 1.06/0.98 ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a274) | (~c2_1(a274)) | (~c0_1(a274)) | c3_1(a267) | c1_1(a267) | (~c0_1(a267)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273)))),
% 1.06/0.98 inference(quant_inst,[status(thm)],[])).
% 1.06/0.98 tff(1952,plain,
% 1.06/0.98 ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | c3_1(a274) | c0_1(a273) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | c1_1(a267) | (~c2_1(a273)) | (~c1_1(a273)) | (~c2_1(a274)) | (~c0_1(a274))),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1951, 1950])).
% 1.06/0.98 tff(1953,plain,
% 1.06/0.98 (c1_1(a267)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1952, 154, 1926, 1946, 1945, 1944, 1928, 1943, 1931, 1101, 1929])).
% 1.06/0.98 tff(1954,plain,
% 1.06/0.98 (~c2_1(a267)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1184, 1930])).
% 1.06/0.98 tff(1955,plain,
% 1.06/0.98 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a269) | c2_1(a269) | c2_1(a267) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c1_1(a267)) | (~c0_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a269) | c2_1(a269) | c2_1(a267) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c1_1(a267)) | (~c0_1(a269)))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(1956,plain,
% 1.06/0.98 (((~ndr1_0) | c2_1(a267) | (~c1_1(a267)) | c3_1(a267) | c3_1(a267) | c2_1(a267) | (~c0_1(a267)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269))) <=> (c1_1(a269) | c2_1(a269) | c2_1(a267) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c1_1(a267)) | (~c0_1(a269)))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(1957,plain,
% 1.06/0.98 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a267) | (~c1_1(a267)) | c3_1(a267) | c3_1(a267) | c2_1(a267) | (~c0_1(a267)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a269) | c2_1(a269) | c2_1(a267) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c1_1(a267)) | (~c0_1(a269))))),
% 1.06/0.98 inference(monotonicity,[status(thm)],[1956])).
% 1.06/0.98 tff(1958,plain,
% 1.06/0.98 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a267) | (~c1_1(a267)) | c3_1(a267) | c3_1(a267) | c2_1(a267) | (~c0_1(a267)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a269) | c2_1(a269) | c2_1(a267) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c1_1(a267)) | (~c0_1(a269)))),
% 1.06/0.98 inference(transitivity,[status(thm)],[1957, 1955])).
% 1.06/0.98 tff(1959,plain,
% 1.06/0.98 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a267) | (~c1_1(a267)) | c3_1(a267) | c3_1(a267) | c2_1(a267) | (~c0_1(a267)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))),
% 1.06/0.98 inference(quant_inst,[status(thm)],[])).
% 1.06/0.98 tff(1960,plain,
% 1.06/0.98 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a269) | c2_1(a269) | c2_1(a267) | c3_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c1_1(a267)) | (~c0_1(a269))),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1959, 1958])).
% 1.06/0.98 tff(1961,plain,
% 1.06/0.98 ($false),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1960, 154, 1924, 1944, 765, 30, 1954, 1931, 547, 1953])).
% 1.06/0.98 tff(1962,plain,(c1_1(a269) | c2_1(a269) | hskp16), inference(lemma,lemma(discharge,[]))).
% 1.06/0.98 tff(1963,plain,
% 1.06/0.98 ($false),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1962, 1839, 1838, 43])).
% 1.06/0.98 tff(1964,plain,(hskp16), inference(lemma,lemma(discharge,[]))).
% 1.06/0.98 tff(1965,plain,
% 1.06/0.98 (((~hskp16) | (~c2_1(a293))) <=> ((~hskp16) | (~c2_1(a293)))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(1966,plain,
% 1.06/0.98 (((~c2_1(a293)) | (~hskp16)) <=> ((~hskp16) | (~c2_1(a293)))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(1967,axiom,((~c2_1(a293)) | (~hskp16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause106')).
% 1.06/0.98 tff(1968,plain,
% 1.06/0.98 ((~hskp16) | (~c2_1(a293))),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1967, 1966])).
% 1.06/0.98 tff(1969,plain,
% 1.06/0.98 ((~hskp16) | (~c2_1(a293))),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1968, 1965])).
% 1.06/0.98 tff(1970,plain,
% 1.06/0.98 (~c2_1(a293)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1969, 1964])).
% 1.06/0.98 tff(1971,plain,
% 1.06/0.98 (((~hskp16) | c1_1(a293)) <=> ((~hskp16) | c1_1(a293))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(1972,axiom,((~hskp16) | c1_1(a293)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause67')).
% 1.06/0.98 tff(1973,plain,
% 1.06/0.98 ((~hskp16) | c1_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1972, 1971])).
% 1.06/0.98 tff(1974,plain,
% 1.06/0.98 ((~hskp16) | c1_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1973, 1971])).
% 1.06/0.98 tff(1975,plain,
% 1.06/0.98 ((~hskp16) | c1_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1974, 1971])).
% 1.06/0.98 tff(1976,plain,
% 1.06/0.98 ((~hskp16) | c1_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1975, 1971])).
% 1.06/0.98 tff(1977,plain,
% 1.06/0.98 ((~hskp16) | c1_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1976, 1971])).
% 1.06/0.98 tff(1978,plain,
% 1.06/0.98 ((~hskp16) | c1_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1977, 1971])).
% 1.06/0.98 tff(1979,plain,
% 1.06/0.98 ((~hskp16) | c1_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1978, 1971])).
% 1.06/0.98 tff(1980,plain,
% 1.06/0.98 ((~hskp16) | c1_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1979, 1971])).
% 1.06/0.98 tff(1981,plain,
% 1.06/0.98 (c1_1(a293)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1980, 1964])).
% 1.06/0.98 tff(1982,plain,
% 1.06/0.98 (((~hskp16) | c0_1(a293)) <=> ((~hskp16) | c0_1(a293))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(1983,axiom,((~hskp16) | c0_1(a293)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause66')).
% 1.06/0.98 tff(1984,plain,
% 1.06/0.98 ((~hskp16) | c0_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1983, 1982])).
% 1.06/0.98 tff(1985,plain,
% 1.06/0.98 ((~hskp16) | c0_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1984, 1982])).
% 1.06/0.98 tff(1986,plain,
% 1.06/0.98 ((~hskp16) | c0_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1985, 1982])).
% 1.06/0.98 tff(1987,plain,
% 1.06/0.98 ((~hskp16) | c0_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1986, 1982])).
% 1.06/0.98 tff(1988,plain,
% 1.06/0.98 ((~hskp16) | c0_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1987, 1982])).
% 1.06/0.98 tff(1989,plain,
% 1.06/0.98 ((~hskp16) | c0_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1988, 1982])).
% 1.06/0.98 tff(1990,plain,
% 1.06/0.98 ((~hskp16) | c0_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1989, 1982])).
% 1.06/0.98 tff(1991,plain,
% 1.06/0.98 ((~hskp16) | c0_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1990, 1982])).
% 1.06/0.98 tff(1992,plain,
% 1.06/0.98 (c0_1(a293)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1991, 1964])).
% 1.06/0.98 tff(1993,plain,
% 1.06/0.98 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | c2_1(a293) | (~ndr1_0) | (~c1_1(a293)) | (~c0_1(a293)) | (~c3_1(a293)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a293) | (~ndr1_0) | (~c1_1(a293)) | (~c0_1(a293)) | (~c3_1(a293)))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(1994,plain,
% 1.06/0.98 ((hskp23 | (~ndr1_0) | (~c1_1(a293)) | (~c3_1(a293)) | (~c0_1(a293)) | c2_1(a293) | (~c3_1(a293)) | (~c1_1(a293))) <=> (hskp23 | c2_1(a293) | (~ndr1_0) | (~c1_1(a293)) | (~c0_1(a293)) | (~c3_1(a293)))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(1995,plain,
% 1.06/0.98 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a293)) | (~c3_1(a293)) | (~c0_1(a293)) | c2_1(a293) | (~c3_1(a293)) | (~c1_1(a293)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | c2_1(a293) | (~ndr1_0) | (~c1_1(a293)) | (~c0_1(a293)) | (~c3_1(a293))))),
% 1.06/0.98 inference(monotonicity,[status(thm)],[1994])).
% 1.06/0.98 tff(1996,plain,
% 1.06/0.98 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a293)) | (~c3_1(a293)) | (~c0_1(a293)) | c2_1(a293) | (~c3_1(a293)) | (~c1_1(a293)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a293) | (~ndr1_0) | (~c1_1(a293)) | (~c0_1(a293)) | (~c3_1(a293)))),
% 1.06/0.98 inference(transitivity,[status(thm)],[1995, 1993])).
% 1.06/0.98 tff(1997,plain,
% 1.06/0.98 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp23 | (~ndr1_0) | (~c1_1(a293)) | (~c3_1(a293)) | (~c0_1(a293)) | c2_1(a293) | (~c3_1(a293)) | (~c1_1(a293)))),
% 1.06/0.98 inference(quant_inst,[status(thm)],[])).
% 1.06/0.98 tff(1998,plain,
% 1.06/0.98 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp23 | c2_1(a293) | (~ndr1_0) | (~c1_1(a293)) | (~c0_1(a293)) | (~c3_1(a293))),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[1997, 1996])).
% 1.06/0.98 tff(1999,plain,
% 1.06/0.98 (hskp23 | (~c3_1(a293))),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1998, 154, 1992, 1981, 1970, 42])).
% 1.06/0.98 tff(2000,plain,
% 1.06/0.98 (~c3_1(a293)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1999, 31])).
% 1.06/0.98 tff(2001,plain,
% 1.06/0.98 (((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293))) <=> ((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(2002,plain,
% 1.06/0.98 ((hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a293)) | c3_1(a293) | (~c0_1(a293))) <=> (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(2003,plain,
% 1.06/0.98 (((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a293)) | c3_1(a293) | (~c0_1(a293)))) <=> ((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293)))),
% 1.06/0.98 inference(monotonicity,[status(thm)],[2002])).
% 1.06/0.98 tff(2004,plain,
% 1.06/0.98 (((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a293)) | c3_1(a293) | (~c0_1(a293)))) <=> ((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293))),
% 1.06/0.98 inference(transitivity,[status(thm)],[2003, 2001])).
% 1.06/0.98 tff(2005,plain,
% 1.06/0.98 ((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a293)) | c3_1(a293) | (~c0_1(a293)))),
% 1.06/0.98 inference(quant_inst,[status(thm)],[])).
% 1.06/0.98 tff(2006,plain,
% 1.06/0.98 ((~![U: $i] : (hskp28 | hskp23 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)))) | hskp28 | hskp23 | (~ndr1_0) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[2005, 2004])).
% 1.06/0.98 tff(2007,plain,
% 1.06/0.98 (hskp28 | hskp23 | c3_1(a293)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[2006, 154, 1992, 1981, 441])).
% 1.06/0.98 tff(2008,plain,
% 1.06/0.98 (hskp28),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[2007, 31, 2000])).
% 1.06/0.98 tff(2009,plain,
% 1.06/0.98 (c1_1(a278)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[462, 2008])).
% 1.06/0.98 tff(2010,plain,
% 1.06/0.98 (c0_1(a278)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[473, 2008])).
% 1.06/0.98 tff(2011,plain,
% 1.06/0.98 (c3_1(a278)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[484, 2008])).
% 1.06/0.98 tff(2012,plain,
% 1.06/0.98 (c2_1(a278)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[497, 2011, 2010, 2009, 31])).
% 1.06/0.98 tff(2013,plain,
% 1.06/0.98 (((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))) | (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c3_1(a278)))) <=> ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))) | hskp8 | hskp7 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c3_1(a278)))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(2014,plain,
% 1.06/0.98 ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))) | (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c3_1(a278)))),
% 1.06/0.98 inference(quant_inst,[status(thm)],[])).
% 1.06/0.98 tff(2015,plain,
% 1.06/0.98 ((~![U: $i] : (hskp8 | hskp7 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)))) | hskp8 | hskp7 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c3_1(a278))),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[2014, 2013])).
% 1.06/0.98 tff(2016,plain,
% 1.06/0.98 (hskp8 | hskp7),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[2015, 154, 2009, 2011, 618, 2012])).
% 1.06/0.98 tff(2017,plain,
% 1.06/0.98 (hskp7),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[2016, 32])).
% 1.06/0.98 tff(2018,plain,
% 1.06/0.98 (~c3_1(a274)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[72, 2017])).
% 1.06/0.98 tff(2019,plain,
% 1.06/0.98 (c0_1(a274)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[430, 2017])).
% 1.06/0.98 tff(2020,plain,
% 1.06/0.98 (c1_1(a274)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[83, 2017])).
% 1.06/0.98 tff(2021,plain,
% 1.06/0.98 (c3_1(a269)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[949, 801, 30, 765])).
% 1.06/0.98 tff(2022,plain,
% 1.06/0.98 (hskp8),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[957, 2021, 765])).
% 1.06/0.98 tff(2023,plain,
% 1.06/0.98 (~c3_1(a275)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[398, 2022])).
% 1.06/0.98 tff(2024,plain,
% 1.06/0.98 (~c2_1(a275)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[404, 2022])).
% 1.06/0.98 tff(2025,plain,
% 1.06/0.98 (~c0_1(a275)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[410, 2022])).
% 1.06/0.98 tff(2026,plain,
% 1.06/0.98 (c1_1(a275)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[967, 154, 54, 2025, 2024, 2023, 10])).
% 1.06/0.98 tff(2027,plain,
% 1.06/0.98 (hskp28),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[2007, 2000, 31])).
% 1.06/0.98 tff(2028,plain,
% 1.06/0.98 (c1_1(a278)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[462, 2027])).
% 1.06/0.98 tff(2029,plain,
% 1.06/0.98 (c0_1(a278)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[473, 2027])).
% 1.06/0.98 tff(2030,plain,
% 1.06/0.98 (c3_1(a278)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[484, 2027])).
% 1.06/0.98 tff(2031,plain,
% 1.06/0.98 (c2_1(a278)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[497, 2030, 2029, 2028, 31])).
% 1.06/0.98 tff(2032,plain,
% 1.06/0.98 (hskp9),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1391, 154, 2025, 2024, 228, 1817])).
% 1.06/0.98 tff(2033,plain,
% 1.06/0.98 (~c1_1(a280)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[251, 2032])).
% 1.06/0.98 tff(2034,plain,
% 1.06/0.98 (c3_1(a280)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[262, 2032])).
% 1.06/0.98 tff(2035,plain,
% 1.06/0.98 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c1_1(a280) | c0_1(a275) | c3_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c1_1(a280) | c0_1(a275) | c3_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(2036,plain,
% 1.06/0.98 (((~ndr1_0) | (~c1_1(a293)) | c3_1(a293) | (~c0_1(a293)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a275) | c3_1(a275) | (~c1_1(a275))) <=> (c1_1(a280) | c0_1(a275) | c3_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(2037,plain,
% 1.06/0.98 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c1_1(a293)) | c3_1(a293) | (~c0_1(a293)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a275) | c3_1(a275) | (~c1_1(a275)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c1_1(a280) | c0_1(a275) | c3_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293)))),
% 1.06/0.98 inference(monotonicity,[status(thm)],[2036])).
% 1.06/0.98 tff(2038,plain,
% 1.06/0.98 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c1_1(a293)) | c3_1(a293) | (~c0_1(a293)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a275) | c3_1(a275) | (~c1_1(a275)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c1_1(a280) | c0_1(a275) | c3_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293))),
% 1.06/0.98 inference(transitivity,[status(thm)],[2037, 2035])).
% 1.06/0.98 tff(2039,plain,
% 1.06/0.98 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | (~c1_1(a293)) | c3_1(a293) | (~c0_1(a293)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c0_1(a275) | c3_1(a275) | (~c1_1(a275)))),
% 1.06/0.98 inference(quant_inst,[status(thm)],[])).
% 1.06/0.98 tff(2040,plain,
% 1.06/0.98 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c1_1(a280) | c0_1(a275) | c3_1(a275) | (~ndr1_0) | (~c1_1(a275)) | (~c3_1(a280)) | (~c0_1(a280)) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[2039, 2038])).
% 1.06/0.98 tff(2041,plain,
% 1.06/0.98 ((~c0_1(a280)) | c3_1(a293)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[2040, 154, 1992, 1981, 2034, 2033, 2025, 2023, 1050, 1817])).
% 1.06/0.98 tff(2042,plain,
% 1.06/0.98 (~c0_1(a280)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[2041, 2000])).
% 1.06/0.98 tff(2043,plain,
% 1.06/0.98 (c2_1(a280)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[290, 2032])).
% 1.06/0.98 tff(2044,plain,
% 1.06/0.98 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp5 | c2_1(a293) | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c0_1(a293)) | c3_1(a293))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp5 | c2_1(a293) | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c0_1(a293)) | c3_1(a293))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(2045,plain,
% 1.06/0.98 ((hskp5 | (~ndr1_0) | c2_1(a293) | c3_1(a293) | (~c0_1(a293)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280))) <=> (hskp5 | c2_1(a293) | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c0_1(a293)) | c3_1(a293))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(2046,plain,
% 1.06/0.98 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c2_1(a293) | c3_1(a293) | (~c0_1(a293)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp5 | c2_1(a293) | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c0_1(a293)) | c3_1(a293)))),
% 1.06/0.98 inference(monotonicity,[status(thm)],[2045])).
% 1.06/0.98 tff(2047,plain,
% 1.06/0.98 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c2_1(a293) | c3_1(a293) | (~c0_1(a293)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp5 | c2_1(a293) | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c0_1(a293)) | c3_1(a293))),
% 1.06/0.98 inference(transitivity,[status(thm)],[2046, 2044])).
% 1.06/0.98 tff(2048,plain,
% 1.06/0.98 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c2_1(a293) | c3_1(a293) | (~c0_1(a293)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))),
% 1.06/0.98 inference(quant_inst,[status(thm)],[])).
% 1.06/0.98 tff(2049,plain,
% 1.06/0.98 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp5 | c2_1(a293) | c1_1(a280) | (~ndr1_0) | c0_1(a280) | (~c2_1(a280)) | (~c0_1(a293)) | c3_1(a293)),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[2048, 2047])).
% 1.06/0.98 tff(2050,plain,
% 1.06/0.98 (hskp5 | c0_1(a280) | c3_1(a293)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[2049, 154, 1992, 2043, 1970, 2033, 1703])).
% 1.06/0.98 tff(2051,plain,
% 1.06/0.98 (hskp5),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[2050, 2042, 2000])).
% 1.06/0.98 tff(2052,plain,
% 1.06/0.98 (c0_1(a272)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[652, 2051])).
% 1.06/0.98 tff(2053,plain,
% 1.06/0.98 (~c1_1(a272)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[641, 2051])).
% 1.06/0.98 tff(2054,plain,
% 1.06/0.98 (~c3_1(a272)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[635, 2051])).
% 1.06/0.98 tff(2055,plain,
% 1.06/0.98 (~c2_1(a272)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[973, 2054, 801, 2053, 765, 30, 2052])).
% 1.06/0.98 tff(2056,plain,
% 1.06/0.98 ($false),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[981, 154, 55, 2029, 2028, 2052, 2053, 569, 2055, 2031])).
% 1.06/0.98 tff(2057,plain,(hskp23 | hskp18 | c0_1(a269) | c1_1(a269) | c2_1(a269) | (~c1_1(a275))), inference(lemma,lemma(discharge,[]))).
% 1.06/0.98 tff(2058,plain,
% 1.06/0.98 (hskp23),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[2057, 801, 55, 765, 30, 2026])).
% 1.06/0.98 tff(2059,plain,
% 1.06/0.98 (~c3_1(a313)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[16, 2058])).
% 1.06/0.98 tff(2060,plain,
% 1.06/0.98 (~c2_1(a313)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[22, 2058])).
% 1.06/0.98 tff(2061,plain,
% 1.06/0.98 (~c1_1(a313)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[28, 2058])).
% 1.06/0.98 tff(2062,plain,
% 1.06/0.98 (~c0_1(a313)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1004, 154, 2061, 2060, 2059, 2024, 2023, 547, 2026])).
% 1.06/0.98 tff(2063,plain,
% 1.06/0.98 ($false),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[534, 154, 54, 2061, 2060, 2059, 10, 2062])).
% 1.06/0.98 tff(2064,plain,(c0_1(a269) | hskp2 | hskp18 | c1_1(a269) | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.06/0.98 tff(2065,plain,
% 1.06/0.98 (c0_1(a269)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[2064, 55, 54, 765, 30])).
% 1.06/0.98 tff(2066,plain,
% 1.06/0.98 (hskp9),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1683, 2065, 30, 765])).
% 1.06/0.98 tff(2067,plain,
% 1.06/0.98 (~c1_1(a280)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[251, 2066])).
% 1.06/0.98 tff(2068,plain,
% 1.06/0.98 (c3_1(a280)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[262, 2066])).
% 1.06/0.98 tff(2069,plain,
% 1.06/0.98 (c2_1(a280)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[290, 2066])).
% 1.06/0.98 tff(2070,plain,
% 1.06/0.98 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | c2_1(a293) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c1_1(a293)) | (~c0_1(a293)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c2_1(a293) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c1_1(a293)) | (~c0_1(a293)))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(2071,plain,
% 1.06/0.98 ((hskp8 | (~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | (~c0_1(a293)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280))) <=> (hskp8 | c2_1(a293) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c1_1(a293)) | (~c0_1(a293)))),
% 1.06/0.98 inference(rewrite,[status(thm)],[])).
% 1.06/0.98 tff(2072,plain,
% 1.06/0.98 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | (~c0_1(a293)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | c2_1(a293) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c1_1(a293)) | (~c0_1(a293))))),
% 1.06/0.98 inference(monotonicity,[status(thm)],[2071])).
% 1.06/0.98 tff(2073,plain,
% 1.06/0.98 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | (~c0_1(a293)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c2_1(a293) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c1_1(a293)) | (~c0_1(a293)))),
% 1.06/0.98 inference(transitivity,[status(thm)],[2072, 2070])).
% 1.06/0.98 tff(2074,plain,
% 1.06/0.98 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | (~c0_1(a293)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))),
% 1.06/0.98 inference(quant_inst,[status(thm)],[])).
% 1.06/0.98 tff(2075,plain,
% 1.06/0.98 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c2_1(a293) | c1_1(a280) | (~ndr1_0) | (~c2_1(a280)) | (~c3_1(a280)) | (~c1_1(a293)) | (~c0_1(a293))),
% 1.06/0.98 inference(modus_ponens,[status(thm)],[2074, 2073])).
% 1.06/0.98 tff(2076,plain,
% 1.06/0.98 (hskp8),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[2075, 154, 1992, 1981, 2069, 2068, 1970, 2067, 1271])).
% 1.06/0.98 tff(2077,plain,
% 1.06/0.98 (~c3_1(a275)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[398, 2076])).
% 1.06/0.98 tff(2078,plain,
% 1.06/0.98 (~c2_1(a275)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[404, 2076])).
% 1.06/0.98 tff(2079,plain,
% 1.06/0.98 (~c0_1(a275)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[410, 2076])).
% 1.06/0.98 tff(2080,plain,
% 1.06/0.98 (c1_1(a275)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[967, 154, 54, 2079, 2078, 2077, 10])).
% 1.06/0.98 tff(2081,plain,
% 1.06/0.98 ($false),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1191, 154, 55, 2029, 2028, 1060, 765, 30, 569, 2031])).
% 1.06/0.98 tff(2082,plain,(hskp23 | hskp18 | (~c0_1(a269)) | c1_1(a269) | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.06/0.98 tff(2083,plain,
% 1.06/0.98 (hskp23),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[2082, 55, 2065, 765, 30])).
% 1.06/0.98 tff(2084,plain,
% 1.06/0.98 (~c3_1(a313)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[16, 2083])).
% 1.06/0.98 tff(2085,plain,
% 1.06/0.98 (~c2_1(a313)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[22, 2083])).
% 1.06/0.98 tff(2086,plain,
% 1.06/0.98 (~c1_1(a313)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[28, 2083])).
% 1.06/0.98 tff(2087,plain,
% 1.06/0.98 (~c0_1(a313)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1004, 154, 2086, 2085, 2084, 2078, 2077, 547, 2080])).
% 1.06/0.98 tff(2088,plain,
% 1.06/0.98 ($false),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[534, 154, 54, 2086, 2085, 2084, 10, 2087])).
% 1.06/0.98 tff(2089,plain,(hskp18 | hskp2 | c1_1(a269) | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.06/0.98 tff(2090,plain,
% 1.06/0.98 (hskp18),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[2089, 54, 765, 30])).
% 1.06/0.98 tff(2091,plain,
% 1.06/0.98 (~c2_1(a298)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[584, 2090])).
% 1.06/0.98 tff(2092,plain,
% 1.06/0.98 (c3_1(a298)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[595, 2090])).
% 1.06/0.98 tff(2093,plain,
% 1.06/0.98 (c1_1(a298)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[606, 2090])).
% 1.06/0.98 tff(2094,assumption,(hskp5), introduced(assumption)).
% 1.06/0.98 tff(2095,plain,
% 1.06/0.98 (~c3_1(a272)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[635, 2094])).
% 1.06/0.98 tff(2096,plain,
% 1.06/0.98 (c0_1(a272)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[652, 2094])).
% 1.06/0.98 tff(2097,plain,
% 1.06/0.98 (~c1_1(a272)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[641, 2094])).
% 1.06/0.98 tff(2098,plain,
% 1.06/0.98 (hskp7),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[798, 2097, 672, 30, 765, 2095, 2096, 671, 670])).
% 1.06/0.98 tff(2099,plain,
% 1.06/0.98 (~c3_1(a274)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[72, 2098])).
% 1.06/0.98 tff(2100,plain,
% 1.06/0.98 (c0_1(a274)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[430, 2098])).
% 1.06/0.98 tff(2101,plain,
% 1.06/0.98 (c1_1(a274)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[83, 2098])).
% 1.06/0.98 tff(2102,plain,
% 1.06/0.98 ($false),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1006, 2101, 2100, 30, 801, 765, 2097, 2096, 2099, 2095])).
% 1.06/0.98 tff(2103,plain,((~hskp5) | c2_1(a269) | c0_1(a269) | c1_1(a269) | (~c1_1(a298)) | (~c3_1(a298)) | c2_1(a298)), inference(lemma,lemma(discharge,[]))).
% 1.06/0.98 tff(2104,plain,
% 1.06/0.98 (~hskp5),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[2103, 801, 30, 765, 2093, 2092, 2091])).
% 1.06/0.98 tff(2105,plain,
% 1.06/0.98 (hskp11),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[1894, 154, 2093, 2092, 801, 2091, 30, 342, 2021])).
% 1.06/0.98 tff(2106,plain,
% 1.06/0.98 (~c1_1(a282)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[355, 2105])).
% 1.06/0.98 tff(2107,plain,
% 1.06/0.98 (~c0_1(a282)),
% 1.06/0.98 inference(unit_resolution,[status(thm)],[361, 2105])).
% 1.06/0.99 tff(2108,plain,
% 1.06/0.99 (c2_1(a282)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[383, 2105])).
% 1.06/0.99 tff(2109,plain,
% 1.06/0.99 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp5 | c2_1(a293) | c0_1(a282) | c1_1(a282) | (~ndr1_0) | (~c2_1(a282)) | (~c0_1(a293)) | c3_1(a293))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp5 | c2_1(a293) | c0_1(a282) | c1_1(a282) | (~ndr1_0) | (~c2_1(a282)) | (~c0_1(a293)) | c3_1(a293))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2110,plain,
% 1.06/0.99 ((hskp5 | (~ndr1_0) | c2_1(a293) | c3_1(a293) | (~c0_1(a293)) | c1_1(a282) | c0_1(a282) | (~c2_1(a282))) <=> (hskp5 | c2_1(a293) | c0_1(a282) | c1_1(a282) | (~ndr1_0) | (~c2_1(a282)) | (~c0_1(a293)) | c3_1(a293))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2111,plain,
% 1.06/0.99 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c2_1(a293) | c3_1(a293) | (~c0_1(a293)) | c1_1(a282) | c0_1(a282) | (~c2_1(a282)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp5 | c2_1(a293) | c0_1(a282) | c1_1(a282) | (~ndr1_0) | (~c2_1(a282)) | (~c0_1(a293)) | c3_1(a293)))),
% 1.06/0.99 inference(monotonicity,[status(thm)],[2110])).
% 1.06/0.99 tff(2112,plain,
% 1.06/0.99 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c2_1(a293) | c3_1(a293) | (~c0_1(a293)) | c1_1(a282) | c0_1(a282) | (~c2_1(a282)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp5 | c2_1(a293) | c0_1(a282) | c1_1(a282) | (~ndr1_0) | (~c2_1(a282)) | (~c0_1(a293)) | c3_1(a293))),
% 1.06/0.99 inference(transitivity,[status(thm)],[2111, 2109])).
% 1.06/0.99 tff(2113,plain,
% 1.06/0.99 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c2_1(a293) | c3_1(a293) | (~c0_1(a293)) | c1_1(a282) | c0_1(a282) | (~c2_1(a282)))),
% 1.06/0.99 inference(quant_inst,[status(thm)],[])).
% 1.06/0.99 tff(2114,plain,
% 1.06/0.99 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp5 | c2_1(a293) | c0_1(a282) | c1_1(a282) | (~ndr1_0) | (~c2_1(a282)) | (~c0_1(a293)) | c3_1(a293)),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2113, 2112])).
% 1.06/0.99 tff(2115,plain,
% 1.06/0.99 (hskp5 | c3_1(a293)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[2114, 154, 1992, 2108, 1970, 2107, 2106, 1703])).
% 1.06/0.99 tff(2116,plain,
% 1.06/0.99 (c3_1(a293)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[2115, 2104])).
% 1.06/0.99 tff(2117,plain,
% 1.06/0.99 (hskp23),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[1999, 2116])).
% 1.06/0.99 tff(2118,plain,
% 1.06/0.99 (~c3_1(a313)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[16, 2117])).
% 1.06/0.99 tff(2119,plain,
% 1.06/0.99 (~c2_1(a313)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[22, 2117])).
% 1.06/0.99 tff(2120,plain,
% 1.06/0.99 (~c1_1(a313)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[28, 2117])).
% 1.06/0.99 tff(2121,plain,
% 1.06/0.99 (~c0_1(a313)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[1004, 154, 2120, 2119, 2118, 2024, 2023, 547, 2026])).
% 1.06/0.99 tff(2122,plain,
% 1.06/0.99 ($false),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[534, 154, 54, 2120, 2119, 2118, 10, 2121])).
% 1.06/0.99 tff(2123,plain,(c0_1(a269) | hskp2 | c2_1(a269) | c1_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.06/0.99 tff(2124,plain,
% 1.06/0.99 (c0_1(a269)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[2123, 54, 30, 765])).
% 1.06/0.99 tff(2125,plain,
% 1.06/0.99 (hskp7 | (~c0_1(a269))),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[771, 154, 2093, 2092, 2091, 765, 30, 669])).
% 1.06/0.99 tff(2126,plain,
% 1.06/0.99 (hskp7),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[2125, 2124])).
% 1.06/0.99 tff(2127,plain,
% 1.06/0.99 (c0_1(a274)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[430, 2126])).
% 1.06/0.99 tff(2128,plain,
% 1.06/0.99 (~c3_1(a274)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[72, 2126])).
% 1.06/0.99 tff(2129,plain,
% 1.06/0.99 (c1_1(a274)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[83, 2126])).
% 1.06/0.99 tff(2130,plain,
% 1.06/0.99 (c2_1(a274)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[1068, 2129, 30, 2124, 2128, 765, 2127])).
% 1.06/0.99 tff(2131,plain,
% 1.06/0.99 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W))))),
% 1.06/0.99 inference(bind,[status(th)],[])).
% 1.06/0.99 tff(2132,plain,
% 1.06/0.99 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))),
% 1.06/0.99 inference(quant_intro,[status(thm)],[2131])).
% 1.06/0.99 tff(2133,plain,
% 1.06/0.99 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2134,plain,
% 1.06/0.99 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V))))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V)) | (~c1_1(V)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V)) | (~c1_1(V))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(W))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V)) | (~c1_1(V))) | (~c3_1(W))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V)) | (~c1_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V)) | (~c1_1(V)) | (~c3_1(W)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V)) | (~c1_1(V)) | (~c3_1(W))))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(W))) | c3_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c3_1(U)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | (~c0_1(V)) | (~c1_1(V)) | (~c3_1(W)))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(W))) | c3_1(U)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | (~c0_1(V)) | (~c1_1(V)) | (~c3_1(W))))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(W))) | c3_1(U)) | c2_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | (~c0_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c2_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | (~c0_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c2_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | (~c3_1(W)))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(W))) | c3_1(U)) | c2_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | (~c3_1(W))))), ((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(W))) | c3_1(U)) | c2_1(V)) | c1_1(W)) <=> (((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c1_1(W)))), rewrite((((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c1_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c1_1(W) | (~c3_1(W)))), ((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(W))) | c3_1(U)) | c2_1(V)) | c1_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c1_1(W) | (~c3_1(W))))), (((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(W))) | c3_1(U)) | c2_1(V)) | c1_1(W)) | c2_1(W)) <=> (((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c1_1(W) | (~c3_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c1_1(W) | (~c3_1(W))) | c2_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))), (((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(W))) | c3_1(U)) | c2_1(V)) | c1_1(W)) | c2_1(W)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))))),
% 1.06/0.99 inference(bind,[status(th)],[])).
% 1.06/0.99 tff(2135,plain,
% 1.06/0.99 (![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(W))) | c3_1(U)) | c2_1(V)) | c1_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))),
% 1.06/0.99 inference(quant_intro,[status(thm)],[2134])).
% 1.06/0.99 tff(2136,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c3_1(W))) | c3_1(U)) | c2_1(V)) | c1_1(W)) | c2_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause182')).
% 1.06/0.99 tff(2137,plain,
% 1.06/0.99 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2136, 2135])).
% 1.06/0.99 tff(2138,plain,
% 1.06/0.99 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2137, 2133])).
% 1.06/0.99 tff(2139,plain,(
% 1.06/0.99 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))),
% 1.06/0.99 inference(skolemize,[status(sab)],[2138])).
% 1.06/0.99 tff(2140,plain,
% 1.06/0.99 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2139, 2132])).
% 1.06/0.99 tff(2141,plain,
% 1.06/0.99 (hskp0),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[1171, 154, 2127, 2129, 2128, 1165, 2130])).
% 1.06/0.99 tff(2142,plain,
% 1.06/0.99 (~c2_1(a267)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[1184, 2141])).
% 1.06/0.99 tff(2143,plain,
% 1.06/0.99 (hskp23),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[1197, 2129, 765, 30, 2124, 2127, 2128])).
% 1.06/0.99 tff(2144,plain,
% 1.06/0.99 (~c3_1(a313)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[16, 2143])).
% 1.06/0.99 tff(2145,plain,
% 1.06/0.99 (~c2_1(a313)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[22, 2143])).
% 1.06/0.99 tff(2146,plain,
% 1.06/0.99 (~c1_1(a313)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[28, 2143])).
% 1.06/0.99 tff(2147,plain,
% 1.06/0.99 (c0_1(a313)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[534, 154, 54, 2146, 2145, 2144, 10])).
% 1.06/0.99 tff(2148,plain,
% 1.06/0.99 (~hskp6),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[1541, 2147, 2146, 2144, 2128, 2130, 2127])).
% 1.06/0.99 tff(2149,plain,
% 1.06/0.99 (hskp9),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[1683, 2124, 30, 765])).
% 1.06/0.99 tff(2150,plain,
% 1.06/0.99 (~c1_1(a280)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[251, 2149])).
% 1.06/0.99 tff(2151,plain,
% 1.06/0.99 (c3_1(a280)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[262, 2149])).
% 1.06/0.99 tff(2152,plain,
% 1.06/0.99 (hskp6 | c0_1(a280)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[1152, 154, 2151, 2127, 2129, 2150, 1079, 2130])).
% 1.06/0.99 tff(2153,plain,
% 1.06/0.99 (c0_1(a280)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[2152, 2148])).
% 1.06/0.99 tff(2154,plain,
% 1.06/0.99 (^[V: $i, U: $i] : refl((hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))) <=> (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))))),
% 1.06/0.99 inference(bind,[status(th)],[])).
% 1.06/0.99 tff(2155,plain,
% 1.06/0.99 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.06/0.99 inference(quant_intro,[status(thm)],[2154])).
% 1.06/0.99 tff(2156,plain,
% 1.06/0.99 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2157,plain,
% 1.06/0.99 (^[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)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c0_1(V)))), ((((~c0_1(U)) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c0_1(V))))), (((((~c0_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c0_1(U)) | (~c0_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c0_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)))), (((((~c0_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | c2_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | hskp1) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))) | hskp1))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))) | hskp1) <=> (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | hskp1) <=> (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))))),
% 1.06/0.99 inference(bind,[status(th)],[])).
% 1.06/0.99 tff(2158,plain,
% 1.06/0.99 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | hskp1) <=> ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.06/0.99 inference(quant_intro,[status(thm)],[2157])).
% 1.06/0.99 tff(2159,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | hskp1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause166')).
% 1.06/0.99 tff(2160,plain,
% 1.06/0.99 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2159, 2158])).
% 1.06/0.99 tff(2161,plain,
% 1.06/0.99 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2160, 2156])).
% 1.06/0.99 tff(2162,plain,(
% 1.06/0.99 ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.06/0.99 inference(skolemize,[status(sab)],[2161])).
% 1.06/0.99 tff(2163,plain,
% 1.06/0.99 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2162, 2155])).
% 1.06/0.99 tff(2164,plain,
% 1.06/0.99 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | (hskp1 | c2_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c0_1(a313)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | hskp1 | c2_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c0_1(a313)))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2165,plain,
% 1.06/0.99 ((hskp1 | (~ndr1_0) | c2_1(a313) | c3_1(a313) | (~c0_1(a313)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280))) <=> (hskp1 | c2_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c0_1(a313)))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2166,plain,
% 1.06/0.99 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | c2_1(a313) | c3_1(a313) | (~c0_1(a313)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | (hskp1 | c2_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c0_1(a313))))),
% 1.06/0.99 inference(monotonicity,[status(thm)],[2165])).
% 1.06/0.99 tff(2167,plain,
% 1.06/0.99 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | c2_1(a313) | c3_1(a313) | (~c0_1(a313)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | hskp1 | c2_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c0_1(a313)))),
% 1.06/0.99 inference(transitivity,[status(thm)],[2166, 2164])).
% 1.06/0.99 tff(2168,plain,
% 1.06/0.99 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | c2_1(a313) | c3_1(a313) | (~c0_1(a313)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)))),
% 1.06/0.99 inference(quant_inst,[status(thm)],[])).
% 1.06/0.99 tff(2169,plain,
% 1.06/0.99 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | hskp1 | c2_1(a313) | c3_1(a313) | c1_1(a280) | (~ndr1_0) | (~c3_1(a280)) | (~c0_1(a280)) | (~c0_1(a313))),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2168, 2167])).
% 1.06/0.99 tff(2170,plain,
% 1.06/0.99 (hskp1 | (~c0_1(a280)) | (~c0_1(a313))),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[2169, 154, 2151, 2145, 2144, 2150, 2163])).
% 1.06/0.99 tff(2171,plain,
% 1.06/0.99 (hskp1),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[2170, 2153, 2147])).
% 1.06/0.99 tff(2172,plain,
% 1.06/0.99 (((~hskp1) | (~c2_1(a268))) <=> ((~hskp1) | (~c2_1(a268)))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2173,plain,
% 1.06/0.99 (((~c2_1(a268)) | (~hskp1)) <=> ((~hskp1) | (~c2_1(a268)))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2174,axiom,((~c2_1(a268)) | (~hskp1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause132')).
% 1.06/0.99 tff(2175,plain,
% 1.06/0.99 ((~hskp1) | (~c2_1(a268))),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2174, 2173])).
% 1.06/0.99 tff(2176,plain,
% 1.06/0.99 ((~hskp1) | (~c2_1(a268))),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2175, 2172])).
% 1.06/0.99 tff(2177,plain,
% 1.06/0.99 (~c2_1(a268)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[2176, 2171])).
% 1.06/0.99 tff(2178,plain,
% 1.06/0.99 (((~hskp1) | (~c1_1(a268))) <=> ((~hskp1) | (~c1_1(a268)))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2179,plain,
% 1.06/0.99 (((~c1_1(a268)) | (~hskp1)) <=> ((~hskp1) | (~c1_1(a268)))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2180,axiom,((~c1_1(a268)) | (~hskp1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause131')).
% 1.06/0.99 tff(2181,plain,
% 1.06/0.99 ((~hskp1) | (~c1_1(a268))),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2180, 2179])).
% 1.06/0.99 tff(2182,plain,
% 1.06/0.99 ((~hskp1) | (~c1_1(a268))),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2181, 2178])).
% 1.06/0.99 tff(2183,plain,
% 1.06/0.99 (~c1_1(a268)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[2182, 2171])).
% 1.06/0.99 tff(2184,plain,
% 1.06/0.99 (c0_1(a267)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[1317, 2141])).
% 1.06/0.99 tff(2185,plain,
% 1.06/0.99 (((~hskp1) | c3_1(a268)) <=> ((~hskp1) | c3_1(a268))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2186,axiom,((~hskp1) | c3_1(a268)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause86')).
% 1.06/0.99 tff(2187,plain,
% 1.06/0.99 ((~hskp1) | c3_1(a268)),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2186, 2185])).
% 1.06/0.99 tff(2188,plain,
% 1.06/0.99 ((~hskp1) | c3_1(a268)),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2187, 2185])).
% 1.06/0.99 tff(2189,plain,
% 1.06/0.99 ((~hskp1) | c3_1(a268)),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2188, 2185])).
% 1.06/0.99 tff(2190,plain,
% 1.06/0.99 ((~hskp1) | c3_1(a268)),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2189, 2185])).
% 1.06/0.99 tff(2191,plain,
% 1.06/0.99 ((~hskp1) | c3_1(a268)),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2190, 2185])).
% 1.06/0.99 tff(2192,plain,
% 1.06/0.99 ((~hskp1) | c3_1(a268)),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2191, 2185])).
% 1.06/0.99 tff(2193,plain,
% 1.06/0.99 ((~hskp1) | c3_1(a268)),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2192, 2185])).
% 1.06/0.99 tff(2194,plain,
% 1.06/0.99 ((~hskp1) | c3_1(a268)),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2193, 2185])).
% 1.06/0.99 tff(2195,plain,
% 1.06/0.99 (c3_1(a268)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[2194, 2171])).
% 1.06/0.99 tff(2196,plain,
% 1.06/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | (c3_1(a274) | c1_1(a268) | c2_1(a268) | c2_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c1_1(a267)) | (~c3_1(a268)) | (~c2_1(a274)) | (~c1_1(a274)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | c3_1(a274) | c1_1(a268) | c2_1(a268) | c2_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c1_1(a267)) | (~c3_1(a268)) | (~c2_1(a274)) | (~c1_1(a274)))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2197,plain,
% 1.06/0.99 (((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c2_1(a274)) | c2_1(a267) | (~c0_1(a267)) | (~c1_1(a267)) | c2_1(a268) | c1_1(a268) | (~c3_1(a268))) <=> (c3_1(a274) | c1_1(a268) | c2_1(a268) | c2_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c1_1(a267)) | (~c3_1(a268)) | (~c2_1(a274)) | (~c1_1(a274)))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2198,plain,
% 1.06/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c2_1(a274)) | c2_1(a267) | (~c0_1(a267)) | (~c1_1(a267)) | c2_1(a268) | c1_1(a268) | (~c3_1(a268)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | (c3_1(a274) | c1_1(a268) | c2_1(a268) | c2_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c1_1(a267)) | (~c3_1(a268)) | (~c2_1(a274)) | (~c1_1(a274))))),
% 1.06/0.99 inference(monotonicity,[status(thm)],[2197])).
% 1.06/0.99 tff(2199,plain,
% 1.06/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c2_1(a274)) | c2_1(a267) | (~c0_1(a267)) | (~c1_1(a267)) | c2_1(a268) | c1_1(a268) | (~c3_1(a268)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | c3_1(a274) | c1_1(a268) | c2_1(a268) | c2_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c1_1(a267)) | (~c3_1(a268)) | (~c2_1(a274)) | (~c1_1(a274)))),
% 1.06/0.99 inference(transitivity,[status(thm)],[2198, 2196])).
% 1.06/0.99 tff(2200,plain,
% 1.06/0.99 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c2_1(a274)) | c2_1(a267) | (~c0_1(a267)) | (~c1_1(a267)) | c2_1(a268) | c1_1(a268) | (~c3_1(a268)))),
% 1.06/0.99 inference(quant_inst,[status(thm)],[])).
% 1.06/0.99 tff(2201,plain,
% 1.06/0.99 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | c3_1(a274) | c1_1(a268) | c2_1(a268) | c2_1(a267) | (~ndr1_0) | (~c0_1(a267)) | (~c1_1(a267)) | (~c3_1(a268)) | (~c2_1(a274)) | (~c1_1(a274))),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2200, 2199])).
% 1.06/0.99 tff(2202,plain,
% 1.06/0.99 (~c1_1(a267)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[2201, 154, 2129, 2195, 2184, 2128, 2183, 2177, 2142, 2140, 2130])).
% 1.06/0.99 tff(2203,plain,
% 1.06/0.99 (c2_1(a280)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[290, 2149])).
% 1.06/0.99 tff(2204,plain,
% 1.06/0.99 (hskp8),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[2075, 154, 1992, 1981, 2203, 2151, 1970, 2150, 1271])).
% 1.06/0.99 tff(2205,plain,
% 1.06/0.99 (~c3_1(a275)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[398, 2204])).
% 1.06/0.99 tff(2206,plain,
% 1.06/0.99 (~c2_1(a275)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[404, 2204])).
% 1.06/0.99 tff(2207,plain,
% 1.06/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c2_1(a313) | c3_1(a313) | c2_1(a275) | c3_1(a275) | c2_1(a267) | (~ndr1_0) | (~c0_1(a267)) | c1_1(a267) | (~c1_1(a275)) | (~c0_1(a313)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a313) | c3_1(a313) | c2_1(a275) | c3_1(a275) | c2_1(a267) | (~ndr1_0) | (~c0_1(a267)) | c1_1(a267) | (~c1_1(a275)) | (~c0_1(a313)))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2208,plain,
% 1.06/0.99 (((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a267) | c1_1(a267) | (~c0_1(a267))) <=> (c2_1(a313) | c3_1(a313) | c2_1(a275) | c3_1(a275) | c2_1(a267) | (~ndr1_0) | (~c0_1(a267)) | c1_1(a267) | (~c1_1(a275)) | (~c0_1(a313)))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2209,plain,
% 1.06/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a267) | c1_1(a267) | (~c0_1(a267)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c2_1(a313) | c3_1(a313) | c2_1(a275) | c3_1(a275) | c2_1(a267) | (~ndr1_0) | (~c0_1(a267)) | c1_1(a267) | (~c1_1(a275)) | (~c0_1(a313))))),
% 1.06/0.99 inference(monotonicity,[status(thm)],[2208])).
% 1.06/0.99 tff(2210,plain,
% 1.06/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a267) | c1_1(a267) | (~c0_1(a267)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a313) | c3_1(a313) | c2_1(a275) | c3_1(a275) | c2_1(a267) | (~ndr1_0) | (~c0_1(a267)) | c1_1(a267) | (~c1_1(a275)) | (~c0_1(a313)))),
% 1.06/0.99 inference(transitivity,[status(thm)],[2209, 2207])).
% 1.06/0.99 tff(2211,plain,
% 1.06/0.99 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a267) | c1_1(a267) | (~c0_1(a267)))),
% 1.06/0.99 inference(quant_inst,[status(thm)],[])).
% 1.06/0.99 tff(2212,plain,
% 1.06/0.99 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a313) | c3_1(a313) | c2_1(a275) | c3_1(a275) | c2_1(a267) | (~ndr1_0) | (~c0_1(a267)) | c1_1(a267) | (~c1_1(a275)) | (~c0_1(a313))),
% 1.06/0.99 inference(modus_ponens,[status(thm)],[2211, 2210])).
% 1.06/0.99 tff(2213,plain,
% 1.06/0.99 (~c1_1(a275)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[2212, 154, 2184, 2145, 2144, 2206, 2205, 2142, 547, 2147, 2202])).
% 1.06/0.99 tff(2214,plain,
% 1.06/0.99 (~c0_1(a275)),
% 1.06/0.99 inference(unit_resolution,[status(thm)],[410, 2204])).
% 1.06/0.99 tff(2215,plain,
% 1.06/0.99 (^[V: $i, U: $i] : refl((hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))) <=> (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))))),
% 1.06/0.99 inference(bind,[status(th)],[])).
% 1.06/0.99 tff(2216,plain,
% 1.06/0.99 (![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.06/0.99 inference(quant_intro,[status(thm)],[2215])).
% 1.06/0.99 tff(2217,plain,
% 1.06/0.99 (![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.06/0.99 inference(rewrite,[status(thm)],[])).
% 1.06/0.99 tff(2218,plain,
% 1.06/0.99 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V))))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(V)) | (~c0_1(V)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(V)) | (~c0_1(V))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c3_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(V)) | (~c0_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(V)) | (~c0_1(V))) | c3_1(U)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | (~c3_1(V)) | (~c0_1(V)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | (~c3_1(V)) | (~c0_1(V))))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | (~c3_1(V)) | (~c0_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | (~c3_1(V)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) | hskp21) <=> (((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))) | hskp21))), rewrite((((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V))) | hskp21) <=> (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) | hskp21) <=> (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))))),
% 1.06/1.00 inference(bind,[status(th)],[])).
% 1.06/1.00 tff(2219,plain,
% 1.06/1.00 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) | hskp21) <=> ![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.06/1.00 inference(quant_intro,[status(thm)],[2218])).
% 1.06/1.00 tff(2220,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | c3_1(U)) | c1_1(V)) | hskp21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause171')).
% 1.06/1.00 tff(2221,plain,
% 1.06/1.00 (![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2220, 2219])).
% 1.06/1.00 tff(2222,plain,
% 1.06/1.00 (![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2221, 2217])).
% 1.06/1.00 tff(2223,plain,(
% 1.06/1.00 ![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.06/1.00 inference(skolemize,[status(sab)],[2222])).
% 1.06/1.00 tff(2224,plain,
% 1.06/1.00 (![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2223, 2216])).
% 1.06/1.00 tff(2225,plain,
% 1.06/1.00 (((~![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | (hskp21 | c1_1(a280) | c3_1(a274) | (~ndr1_0) | (~c2_1(a274)) | (~c1_1(a274)) | (~c3_1(a280)) | (~c0_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | hskp21 | c1_1(a280) | c3_1(a274) | (~ndr1_0) | (~c2_1(a274)) | (~c1_1(a274)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2226,plain,
% 1.06/1.00 ((hskp21 | (~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c2_1(a274)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280))) <=> (hskp21 | c1_1(a280) | c3_1(a274) | (~ndr1_0) | (~c2_1(a274)) | (~c1_1(a274)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2227,plain,
% 1.06/1.00 (((~![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | (hskp21 | (~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c2_1(a274)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | (hskp21 | c1_1(a280) | c3_1(a274) | (~ndr1_0) | (~c2_1(a274)) | (~c1_1(a274)) | (~c3_1(a280)) | (~c0_1(a280))))),
% 1.06/1.00 inference(monotonicity,[status(thm)],[2226])).
% 1.06/1.00 tff(2228,plain,
% 1.06/1.00 (((~![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | (hskp21 | (~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c2_1(a274)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | hskp21 | c1_1(a280) | c3_1(a274) | (~ndr1_0) | (~c2_1(a274)) | (~c1_1(a274)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 1.06/1.00 inference(transitivity,[status(thm)],[2227, 2225])).
% 1.06/1.00 tff(2229,plain,
% 1.06/1.00 ((~![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | (hskp21 | (~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c2_1(a274)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)))),
% 1.06/1.00 inference(quant_inst,[status(thm)],[])).
% 1.06/1.00 tff(2230,plain,
% 1.06/1.00 ((~![V: $i, U: $i] : (hskp21 | (~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)))) | hskp21 | c1_1(a280) | c3_1(a274) | (~ndr1_0) | (~c2_1(a274)) | (~c1_1(a274)) | (~c3_1(a280)) | (~c0_1(a280))),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2229, 2228])).
% 1.06/1.00 tff(2231,plain,
% 1.06/1.00 (hskp21 | (~c0_1(a280))),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2230, 154, 2151, 2129, 2150, 2128, 2224, 2130])).
% 1.06/1.00 tff(2232,plain,
% 1.06/1.00 (hskp21),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2231, 2153])).
% 1.06/1.00 tff(2233,plain,
% 1.06/1.00 (((~hskp21) | (~c1_1(a307))) <=> ((~hskp21) | (~c1_1(a307)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2234,plain,
% 1.06/1.00 (((~c1_1(a307)) | (~hskp21)) <=> ((~hskp21) | (~c1_1(a307)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2235,axiom,((~c1_1(a307)) | (~hskp21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause99')).
% 1.06/1.00 tff(2236,plain,
% 1.06/1.00 ((~hskp21) | (~c1_1(a307))),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2235, 2234])).
% 1.06/1.00 tff(2237,plain,
% 1.06/1.00 ((~hskp21) | (~c1_1(a307))),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2236, 2233])).
% 1.06/1.00 tff(2238,plain,
% 1.06/1.00 (~c1_1(a307)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2237, 2232])).
% 1.06/1.00 tff(2239,plain,
% 1.06/1.00 (((~hskp21) | c2_1(a307)) <=> ((~hskp21) | c2_1(a307))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2240,axiom,((~hskp21) | c2_1(a307)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause59')).
% 1.06/1.00 tff(2241,plain,
% 1.06/1.00 ((~hskp21) | c2_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2240, 2239])).
% 1.06/1.00 tff(2242,plain,
% 1.06/1.00 ((~hskp21) | c2_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2241, 2239])).
% 1.06/1.00 tff(2243,plain,
% 1.06/1.00 ((~hskp21) | c2_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2242, 2239])).
% 1.06/1.00 tff(2244,plain,
% 1.06/1.00 ((~hskp21) | c2_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2243, 2239])).
% 1.06/1.00 tff(2245,plain,
% 1.06/1.00 ((~hskp21) | c2_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2244, 2239])).
% 1.06/1.00 tff(2246,plain,
% 1.06/1.00 ((~hskp21) | c2_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2245, 2239])).
% 1.06/1.00 tff(2247,plain,
% 1.06/1.00 ((~hskp21) | c2_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2246, 2239])).
% 1.06/1.00 tff(2248,plain,
% 1.06/1.00 ((~hskp21) | c2_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2247, 2239])).
% 1.06/1.00 tff(2249,plain,
% 1.06/1.00 (c2_1(a307)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2248, 2232])).
% 1.06/1.00 tff(2250,plain,
% 1.06/1.00 (((~hskp21) | c0_1(a307)) <=> ((~hskp21) | c0_1(a307))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2251,axiom,((~hskp21) | c0_1(a307)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause58')).
% 1.06/1.00 tff(2252,plain,
% 1.06/1.00 ((~hskp21) | c0_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2251, 2250])).
% 1.06/1.00 tff(2253,plain,
% 1.06/1.00 ((~hskp21) | c0_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2252, 2250])).
% 1.06/1.00 tff(2254,plain,
% 1.06/1.00 ((~hskp21) | c0_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2253, 2250])).
% 1.06/1.00 tff(2255,plain,
% 1.06/1.00 ((~hskp21) | c0_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2254, 2250])).
% 1.06/1.00 tff(2256,plain,
% 1.06/1.00 ((~hskp21) | c0_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2255, 2250])).
% 1.06/1.00 tff(2257,plain,
% 1.06/1.00 ((~hskp21) | c0_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2256, 2250])).
% 1.06/1.00 tff(2258,plain,
% 1.06/1.00 ((~hskp21) | c0_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2257, 2250])).
% 1.06/1.00 tff(2259,plain,
% 1.06/1.00 ((~hskp21) | c0_1(a307)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2258, 2250])).
% 1.06/1.00 tff(2260,plain,
% 1.06/1.00 (c0_1(a307)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2259, 2232])).
% 1.06/1.00 tff(2261,plain,
% 1.06/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a307) | c0_1(a275) | c2_1(a275) | (~ndr1_0) | c1_1(a275) | (~c2_1(a307)) | (~c0_1(a307)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a307) | c0_1(a275) | c2_1(a275) | (~ndr1_0) | c1_1(a275) | (~c2_1(a307)) | (~c0_1(a307)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2262,plain,
% 1.06/1.00 (((~ndr1_0) | c1_1(a307) | (~c2_1(a307)) | (~c0_1(a307)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a275) | c1_1(a275) | c0_1(a275)) <=> (c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a307) | c0_1(a275) | c2_1(a275) | (~ndr1_0) | c1_1(a275) | (~c2_1(a307)) | (~c0_1(a307)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2263,plain,
% 1.06/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a307) | (~c2_1(a307)) | (~c0_1(a307)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a275) | c1_1(a275) | c0_1(a275))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a307) | c0_1(a275) | c2_1(a275) | (~ndr1_0) | c1_1(a275) | (~c2_1(a307)) | (~c0_1(a307))))),
% 1.06/1.00 inference(monotonicity,[status(thm)],[2262])).
% 1.06/1.00 tff(2264,plain,
% 1.06/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a307) | (~c2_1(a307)) | (~c0_1(a307)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a275) | c1_1(a275) | c0_1(a275))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a307) | c0_1(a275) | c2_1(a275) | (~ndr1_0) | c1_1(a275) | (~c2_1(a307)) | (~c0_1(a307)))),
% 1.06/1.00 inference(transitivity,[status(thm)],[2263, 2261])).
% 1.06/1.00 tff(2265,plain,
% 1.06/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a307) | (~c2_1(a307)) | (~c0_1(a307)) | c3_1(a313) | c1_1(a313) | c2_1(a313) | c2_1(a275) | c1_1(a275) | c0_1(a275))),
% 1.06/1.00 inference(quant_inst,[status(thm)],[])).
% 1.06/1.00 tff(2266,plain,
% 1.06/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c1_1(a307) | c0_1(a275) | c2_1(a275) | (~ndr1_0) | c1_1(a275) | (~c2_1(a307)) | (~c0_1(a307))),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2265, 2264])).
% 1.06/1.00 tff(2267,plain,
% 1.06/1.00 ($false),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2266, 154, 2260, 2249, 2146, 2145, 2144, 2238, 2214, 2206, 696, 2213])).
% 1.06/1.00 tff(2268,plain,(hskp2 | c1_1(a269) | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.00 tff(2269,plain,
% 1.06/1.00 (hskp2),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2268, 765, 30])).
% 1.06/1.00 tff(2270,plain,
% 1.06/1.00 (c0_1(a269)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[940, 2269])).
% 1.06/1.00 tff(2271,assumption,(~c3_1(a293)), introduced(assumption)).
% 1.06/1.00 tff(2272,plain,
% 1.06/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c2_1(a293) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a293) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2273,plain,
% 1.06/1.00 (((~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | c3_1(a293) | c3_1(a293) | c2_1(a293) | (~c0_1(a293)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269))) <=> (c2_1(a293) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2274,plain,
% 1.06/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | c3_1(a293) | c3_1(a293) | c2_1(a293) | (~c0_1(a293)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c2_1(a293) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293)))),
% 1.06/1.00 inference(monotonicity,[status(thm)],[2273])).
% 1.06/1.00 tff(2275,plain,
% 1.06/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | c3_1(a293) | c3_1(a293) | c2_1(a293) | (~c0_1(a293)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a293) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293))),
% 1.06/1.00 inference(transitivity,[status(thm)],[2274, 2272])).
% 1.06/1.00 tff(2276,plain,
% 1.06/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | c3_1(a293) | c3_1(a293) | c2_1(a293) | (~c0_1(a293)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))),
% 1.06/1.00 inference(quant_inst,[status(thm)],[])).
% 1.06/1.00 tff(2277,plain,
% 1.06/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a293) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a293)) | (~c0_1(a293)) | c3_1(a293)),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2276, 2275])).
% 1.06/1.00 tff(2278,plain,
% 1.06/1.00 ($false),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2277, 154, 1992, 1981, 2270, 1970, 765, 30, 547, 2271])).
% 1.06/1.00 tff(2279,plain,(c3_1(a293) | c1_1(a269) | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.00 tff(2280,plain,
% 1.06/1.00 (c3_1(a293)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2279, 765, 30])).
% 1.06/1.00 tff(2281,plain,
% 1.06/1.00 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | c2_1(a293) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a293)) | (~c3_1(a293)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c2_1(a293) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a293)) | (~c3_1(a293)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2282,plain,
% 1.06/1.00 ((hskp7 | (~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | (~c3_1(a293)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269))) <=> (hskp7 | c2_1(a293) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a293)) | (~c3_1(a293)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2283,plain,
% 1.06/1.00 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | (~c3_1(a293)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | c2_1(a293) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a293)) | (~c3_1(a293))))),
% 1.06/1.00 inference(monotonicity,[status(thm)],[2282])).
% 1.06/1.00 tff(2284,plain,
% 1.06/1.00 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | (~c3_1(a293)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c2_1(a293) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a293)) | (~c3_1(a293)))),
% 1.06/1.00 inference(transitivity,[status(thm)],[2283, 2281])).
% 1.06/1.00 tff(2285,plain,
% 1.06/1.00 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | (~c3_1(a293)) | c1_1(a269) | c2_1(a269) | (~c0_1(a269)))),
% 1.06/1.00 inference(quant_inst,[status(thm)],[])).
% 1.06/1.00 tff(2286,plain,
% 1.06/1.00 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c2_1(a293) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c0_1(a269)) | (~c1_1(a293)) | (~c3_1(a293))),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2285, 2284])).
% 1.06/1.00 tff(2287,plain,
% 1.06/1.00 (hskp7 | (~c0_1(a269)) | (~c3_1(a293))),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2286, 154, 1981, 1970, 765, 30, 669])).
% 1.06/1.00 tff(2288,plain,
% 1.06/1.00 (hskp7),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2287, 2280, 2270])).
% 1.06/1.00 tff(2289,plain,
% 1.06/1.00 (c0_1(a274)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[430, 2288])).
% 1.06/1.00 tff(2290,plain,
% 1.06/1.00 (~c3_1(a274)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[72, 2288])).
% 1.06/1.00 tff(2291,plain,
% 1.06/1.00 (c1_1(a274)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[83, 2288])).
% 1.06/1.00 tff(2292,plain,
% 1.06/1.00 (c2_1(a274)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[1068, 2291, 30, 2270, 2290, 765, 2289])).
% 1.06/1.00 tff(2293,plain,
% 1.06/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | (c2_1(a293) | c3_1(a274) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c2_1(a274)) | (~c1_1(a274)) | (~c1_1(a293)) | (~c0_1(a293)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | c2_1(a293) | c3_1(a274) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c2_1(a274)) | (~c1_1(a274)) | (~c1_1(a293)) | (~c0_1(a293)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2294,plain,
% 1.06/1.00 (((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c2_1(a274)) | c2_1(a293) | (~c0_1(a293)) | (~c1_1(a293)) | c2_1(a269) | c1_1(a269) | (~c3_1(a269))) <=> (c2_1(a293) | c3_1(a274) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c2_1(a274)) | (~c1_1(a274)) | (~c1_1(a293)) | (~c0_1(a293)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2295,plain,
% 1.06/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c2_1(a274)) | c2_1(a293) | (~c0_1(a293)) | (~c1_1(a293)) | c2_1(a269) | c1_1(a269) | (~c3_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | (c2_1(a293) | c3_1(a274) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c2_1(a274)) | (~c1_1(a274)) | (~c1_1(a293)) | (~c0_1(a293))))),
% 1.06/1.00 inference(monotonicity,[status(thm)],[2294])).
% 1.06/1.00 tff(2296,plain,
% 1.06/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c2_1(a274)) | c2_1(a293) | (~c0_1(a293)) | (~c1_1(a293)) | c2_1(a269) | c1_1(a269) | (~c3_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | c2_1(a293) | c3_1(a274) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c2_1(a274)) | (~c1_1(a274)) | (~c1_1(a293)) | (~c0_1(a293)))),
% 1.06/1.00 inference(transitivity,[status(thm)],[2295, 2293])).
% 1.06/1.00 tff(2297,plain,
% 1.06/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a274)) | c3_1(a274) | (~c2_1(a274)) | c2_1(a293) | (~c0_1(a293)) | (~c1_1(a293)) | c2_1(a269) | c1_1(a269) | (~c3_1(a269)))),
% 1.06/1.00 inference(quant_inst,[status(thm)],[])).
% 1.06/1.00 tff(2298,plain,
% 1.06/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | c2_1(a293) | c3_1(a274) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | (~c3_1(a269)) | (~c2_1(a274)) | (~c1_1(a274)) | (~c1_1(a293)) | (~c0_1(a293))),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2297, 2296])).
% 1.06/1.00 tff(2299,plain,
% 1.06/1.00 (~c3_1(a269)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2298, 154, 1992, 1981, 2291, 1970, 2290, 765, 30, 2140, 2292])).
% 1.06/1.00 tff(2300,plain,
% 1.06/1.00 (hskp9),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[1683, 2270, 30, 765])).
% 1.06/1.00 tff(2301,plain,
% 1.06/1.00 (~c1_1(a280)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[251, 2300])).
% 1.06/1.00 tff(2302,plain,
% 1.06/1.00 (c3_1(a280)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[262, 2300])).
% 1.06/1.00 tff(2303,plain,
% 1.06/1.00 (c2_1(a280)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[290, 2300])).
% 1.06/1.00 tff(2304,plain,
% 1.06/1.00 (hskp8),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2075, 154, 1992, 1981, 2303, 2302, 1970, 2301, 1271])).
% 1.06/1.00 tff(2305,plain,
% 1.06/1.00 (~c3_1(a275)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[398, 2304])).
% 1.06/1.00 tff(2306,plain,
% 1.06/1.00 (~c2_1(a275)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[404, 2304])).
% 1.06/1.00 tff(2307,plain,
% 1.06/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c2_1(a275) | c3_1(a275) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)) | (~c1_1(a275)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a275) | c3_1(a275) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)) | (~c1_1(a275)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2308,plain,
% 1.06/1.00 (((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a269) | c2_1(a269) | (~c0_1(a269)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269))) <=> (c2_1(a275) | c3_1(a275) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)) | (~c1_1(a275)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2309,plain,
% 1.06/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a269) | c2_1(a269) | (~c0_1(a269)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c2_1(a275) | c3_1(a275) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)) | (~c1_1(a275))))),
% 1.06/1.00 inference(monotonicity,[status(thm)],[2308])).
% 1.06/1.00 tff(2310,plain,
% 1.06/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a269) | c2_1(a269) | (~c0_1(a269)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a275) | c3_1(a275) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)) | (~c1_1(a275)))),
% 1.06/1.00 inference(transitivity,[status(thm)],[2309, 2307])).
% 1.06/1.00 tff(2311,plain,
% 1.06/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a275) | (~c1_1(a275)) | c3_1(a275) | c3_1(a269) | c2_1(a269) | (~c0_1(a269)) | c2_1(a269) | c1_1(a269) | (~c0_1(a269)))),
% 1.06/1.00 inference(quant_inst,[status(thm)],[])).
% 1.06/1.00 tff(2312,plain,
% 1.06/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c2_1(a275) | c3_1(a275) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | (~c0_1(a269)) | (~c1_1(a275))),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2311, 2310])).
% 1.06/1.00 tff(2313,plain,
% 1.06/1.00 (~c1_1(a275)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2312, 154, 2270, 2306, 2305, 765, 30, 547, 2299])).
% 1.06/1.00 tff(2314,plain,
% 1.06/1.00 (~c0_1(a275)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[410, 2304])).
% 1.06/1.00 tff(2315,plain,
% 1.06/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a280) | c0_1(a275) | c2_1(a275) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | c1_1(a275) | (~c2_1(a280)) | (~c0_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a280) | c0_1(a275) | c2_1(a275) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | c1_1(a275) | (~c2_1(a280)) | (~c0_1(a280)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2316,plain,
% 1.06/1.00 (((~ndr1_0) | c1_1(a280) | (~c2_1(a280)) | (~c0_1(a280)) | c3_1(a269) | c1_1(a269) | c2_1(a269) | c2_1(a275) | c1_1(a275) | c0_1(a275)) <=> (c1_1(a280) | c0_1(a275) | c2_1(a275) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | c1_1(a275) | (~c2_1(a280)) | (~c0_1(a280)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2317,plain,
% 1.06/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a280) | (~c2_1(a280)) | (~c0_1(a280)) | c3_1(a269) | c1_1(a269) | c2_1(a269) | c2_1(a275) | c1_1(a275) | c0_1(a275))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a280) | c0_1(a275) | c2_1(a275) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | c1_1(a275) | (~c2_1(a280)) | (~c0_1(a280))))),
% 1.06/1.00 inference(monotonicity,[status(thm)],[2316])).
% 1.06/1.00 tff(2318,plain,
% 1.06/1.00 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a280) | (~c2_1(a280)) | (~c0_1(a280)) | c3_1(a269) | c1_1(a269) | c2_1(a269) | c2_1(a275) | c1_1(a275) | c0_1(a275))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a280) | c0_1(a275) | c2_1(a275) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | c1_1(a275) | (~c2_1(a280)) | (~c0_1(a280)))),
% 1.06/1.00 inference(transitivity,[status(thm)],[2317, 2315])).
% 1.06/1.00 tff(2319,plain,
% 1.06/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a280) | (~c2_1(a280)) | (~c0_1(a280)) | c3_1(a269) | c1_1(a269) | c2_1(a269) | c2_1(a275) | c1_1(a275) | c0_1(a275))),
% 1.06/1.00 inference(quant_inst,[status(thm)],[])).
% 1.06/1.00 tff(2320,plain,
% 1.06/1.00 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | c2_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a280) | c0_1(a275) | c2_1(a275) | c1_1(a269) | c2_1(a269) | (~ndr1_0) | c3_1(a269) | c1_1(a275) | (~c2_1(a280)) | (~c0_1(a280))),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2319, 2318])).
% 1.06/1.00 tff(2321,plain,
% 1.06/1.00 (~c0_1(a280)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2320, 154, 2303, 2301, 2314, 2306, 765, 30, 696, 2299, 2313])).
% 1.06/1.00 tff(2322,plain,
% 1.06/1.00 (hskp5 | c3_1(a269) | c0_1(a280)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[1710, 154, 2303, 2270, 2301, 30, 1703])).
% 1.06/1.00 tff(2323,plain,
% 1.06/1.00 (hskp5),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2322, 2321, 2299])).
% 1.06/1.00 tff(2324,plain,
% 1.06/1.00 (~c3_1(a272)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[635, 2323])).
% 1.06/1.00 tff(2325,plain,
% 1.06/1.00 (~c1_1(a272)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[641, 2323])).
% 1.06/1.00 tff(2326,plain,
% 1.06/1.00 (hskp6 | c0_1(a280)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[1152, 154, 2302, 2289, 2291, 2301, 1079, 2292])).
% 1.06/1.00 tff(2327,plain,
% 1.06/1.00 (hskp6),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2326, 2321])).
% 1.06/1.00 tff(2328,plain,
% 1.06/1.00 (c0_1(a272)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[652, 2323])).
% 1.06/1.00 tff(2329,plain,
% 1.06/1.00 ($false),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[1138, 2328, 2327, 2292, 2290, 2325, 2324, 2289])).
% 1.06/1.00 tff(2330,plain,(c1_1(a269) | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.00 tff(2331,plain,
% 1.06/1.00 (c1_1(a269)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2330, 30])).
% 1.06/1.00 tff(2332,plain,
% 1.06/1.00 (~c0_1(a280)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[872, 801, 30, 800])).
% 1.06/1.00 tff(2333,plain,
% 1.06/1.00 (hskp3),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[297, 154, 813, 812, 811, 280, 2332])).
% 1.06/1.00 tff(2334,plain,
% 1.06/1.00 (~c2_1(a270)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[303, 2333])).
% 1.06/1.00 tff(2335,plain,
% 1.06/1.00 (c0_1(a270)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[372, 2333])).
% 1.06/1.00 tff(2336,plain,
% 1.06/1.00 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | c1_1(a280) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a280)) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c1_1(a280) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a280)) | (~c3_1(a280)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2337,plain,
% 1.06/1.00 ((hskp8 | (~ndr1_0) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280))) <=> (hskp8 | c1_1(a280) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a280)) | (~c3_1(a280)))),
% 1.06/1.00 inference(rewrite,[status(thm)],[])).
% 1.06/1.00 tff(2338,plain,
% 1.06/1.00 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | c1_1(a280) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a280)) | (~c3_1(a280))))),
% 1.06/1.00 inference(monotonicity,[status(thm)],[2337])).
% 1.06/1.00 tff(2339,plain,
% 1.06/1.00 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c1_1(a280) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a280)) | (~c3_1(a280)))),
% 1.06/1.00 inference(transitivity,[status(thm)],[2338, 2336])).
% 1.06/1.00 tff(2340,plain,
% 1.06/1.00 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a270) | (~c1_1(a270)) | (~c0_1(a270)) | c1_1(a280) | (~c2_1(a280)) | (~c3_1(a280)))),
% 1.06/1.00 inference(quant_inst,[status(thm)],[])).
% 1.06/1.00 tff(2341,plain,
% 1.06/1.00 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | c1_1(a280) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c0_1(a270)) | (~c2_1(a280)) | (~c3_1(a280))),
% 1.06/1.00 inference(modus_ponens,[status(thm)],[2340, 2339])).
% 1.06/1.00 tff(2342,plain,
% 1.06/1.00 (~c1_1(a270)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2341, 154, 32, 813, 812, 2335, 811, 2334, 1271])).
% 1.06/1.00 tff(2343,plain,
% 1.06/1.00 (c3_1(a270)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[314, 2333])).
% 1.06/1.00 tff(2344,plain,
% 1.06/1.00 ($false),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[321, 154, 32, 2343, 2334, 113, 2342])).
% 1.06/1.00 tff(2345,plain,(c0_1(a269) | hskp8 | c2_1(a269) | (~c1_1(a269))), inference(lemma,lemma(discharge,[]))).
% 1.06/1.00 tff(2346,plain,
% 1.06/1.00 (hskp8),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2345, 801, 30, 2331])).
% 1.06/1.00 tff(2347,plain,
% 1.06/1.00 (~c3_1(a275)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[398, 2346])).
% 1.06/1.00 tff(2348,plain,
% 1.06/1.00 (~c2_1(a275)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[404, 2346])).
% 1.06/1.00 tff(2349,plain,
% 1.06/1.00 (~c0_1(a275)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[410, 2346])).
% 1.06/1.00 tff(2350,plain,
% 1.06/1.00 (~hskp2),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[894, 2331])).
% 1.06/1.00 tff(2351,plain,
% 1.06/1.00 (c1_1(a275)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[967, 154, 2350, 2349, 2348, 2347, 10])).
% 1.06/1.00 tff(2352,plain,
% 1.06/1.00 (hskp7),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[897, 2097, 2331, 30, 2095, 801, 2096])).
% 1.06/1.00 tff(2353,plain,
% 1.06/1.00 (~c3_1(a274)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[72, 2352])).
% 1.06/1.00 tff(2354,plain,
% 1.06/1.00 (c0_1(a274)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[430, 2352])).
% 1.06/1.00 tff(2355,plain,
% 1.06/1.00 (c1_1(a274)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[83, 2352])).
% 1.06/1.00 tff(2356,plain,
% 1.06/1.00 ($false),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[1058, 2355, 2354, 30, 2096, 2097, 2353, 801, 2095])).
% 1.06/1.00 tff(2357,plain,((~hskp5) | c2_1(a269) | c0_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.00 tff(2358,plain,
% 1.06/1.00 (~hskp5),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[2357, 801, 30])).
% 1.06/1.00 tff(2359,plain,
% 1.06/1.00 (~c0_1(a280)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[872, 801, 30, 2331])).
% 1.06/1.00 tff(2360,plain,
% 1.06/1.00 (hskp9),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[809, 801, 2331])).
% 1.06/1.00 tff(2361,plain,
% 1.06/1.00 (~c1_1(a280)),
% 1.06/1.00 inference(unit_resolution,[status(thm)],[251, 2360])).
% 1.06/1.00 tff(2362,plain,
% 1.06/1.00 (c2_1(a280)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[290, 2360])).
% 1.06/1.01 tff(2363,plain,
% 1.06/1.01 (hskp5 | c3_1(a293)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2049, 154, 1992, 2362, 1970, 2361, 1703, 2359])).
% 1.06/1.01 tff(2364,plain,
% 1.06/1.01 (c3_1(a293)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2363, 2358])).
% 1.06/1.01 tff(2365,plain,
% 1.06/1.01 (hskp23),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[1999, 2364])).
% 1.06/1.01 tff(2366,plain,
% 1.06/1.01 (~c3_1(a313)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[16, 2365])).
% 1.06/1.01 tff(2367,plain,
% 1.06/1.01 (~c2_1(a313)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[22, 2365])).
% 1.06/1.01 tff(2368,plain,
% 1.06/1.01 (~c1_1(a313)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[28, 2365])).
% 1.06/1.01 tff(2369,plain,
% 1.06/1.01 (~c0_1(a313)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[1004, 154, 2368, 2367, 2366, 2348, 2347, 547, 2351])).
% 1.06/1.01 tff(2370,plain,
% 1.06/1.01 ($false),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[534, 154, 2350, 2368, 2367, 2366, 10, 2369])).
% 1.06/1.01 tff(2371,plain,(c0_1(a269) | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.01 tff(2372,plain,
% 1.06/1.01 (c0_1(a269)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2371, 30])).
% 1.06/1.01 tff(2373,plain,
% 1.06/1.01 (hskp30),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[1379, 32, 2372, 30, 2331])).
% 1.06/1.01 tff(2374,plain,
% 1.06/1.01 (c3_1(a337)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[1490, 2373])).
% 1.06/1.01 tff(2375,plain,
% 1.06/1.01 (c2_1(a337)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[1501, 2373])).
% 1.06/1.01 tff(2376,assumption,(~c1_1(a337)), introduced(assumption)).
% 1.06/1.01 tff(2377,plain,
% 1.06/1.01 (c0_1(a269)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2345, 30, 32, 800])).
% 1.06/1.01 tff(2378,assumption,(c3_1(a337)), introduced(assumption)).
% 1.06/1.01 tff(2379,assumption,(c2_1(a337)), introduced(assumption)).
% 1.06/1.01 tff(2380,plain,
% 1.06/1.01 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | c1_1(a337) | (~c3_1(a337)) | (~c2_1(a337)) | (~c0_1(a269)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | c1_1(a337) | (~c3_1(a337)) | (~c2_1(a337)) | (~c0_1(a269)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2381,plain,
% 1.06/1.01 ((hskp8 | (~ndr1_0) | c2_1(a269) | (~c1_1(a269)) | (~c0_1(a269)) | c1_1(a337) | (~c2_1(a337)) | (~c3_1(a337))) <=> (hskp8 | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | c1_1(a337) | (~c3_1(a337)) | (~c2_1(a337)) | (~c0_1(a269)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2382,plain,
% 1.06/1.01 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a269) | (~c1_1(a269)) | (~c0_1(a269)) | c1_1(a337) | (~c2_1(a337)) | (~c3_1(a337)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | c1_1(a337) | (~c3_1(a337)) | (~c2_1(a337)) | (~c0_1(a269))))),
% 1.06/1.01 inference(monotonicity,[status(thm)],[2381])).
% 1.06/1.01 tff(2383,plain,
% 1.06/1.01 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a269) | (~c1_1(a269)) | (~c0_1(a269)) | c1_1(a337) | (~c2_1(a337)) | (~c3_1(a337)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | c1_1(a337) | (~c3_1(a337)) | (~c2_1(a337)) | (~c0_1(a269)))),
% 1.06/1.01 inference(transitivity,[status(thm)],[2382, 2380])).
% 1.06/1.01 tff(2384,plain,
% 1.06/1.01 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c2_1(a269) | (~c1_1(a269)) | (~c0_1(a269)) | c1_1(a337) | (~c2_1(a337)) | (~c3_1(a337)))),
% 1.06/1.01 inference(quant_inst,[status(thm)],[])).
% 1.06/1.01 tff(2385,plain,
% 1.06/1.01 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp8 | (~c1_1(a269)) | c2_1(a269) | (~ndr1_0) | c1_1(a337) | (~c3_1(a337)) | (~c2_1(a337)) | (~c0_1(a269))),
% 1.06/1.01 inference(modus_ponens,[status(thm)],[2384, 2383])).
% 1.06/1.01 tff(2386,plain,
% 1.06/1.01 ($false),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2385, 154, 32, 2379, 2378, 2377, 800, 30, 1271, 2376])).
% 1.06/1.01 tff(2387,plain,(c1_1(a337) | hskp8 | (~c2_1(a337)) | (~c3_1(a337)) | (~c1_1(a269)) | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.01 tff(2388,plain,
% 1.06/1.01 (c1_1(a337)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2387, 2375, 30, 2374, 2331, 32])).
% 1.06/1.01 tff(2389,plain,
% 1.06/1.01 (hskp4),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[524, 32, 31, 444, 443, 442])).
% 1.06/1.01 tff(2390,plain,
% 1.06/1.01 (~c1_1(a271)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[96, 2389])).
% 1.06/1.01 tff(2391,plain,
% 1.06/1.01 (~c0_1(a271)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[102, 2389])).
% 1.06/1.01 tff(2392,plain,
% 1.06/1.01 (c2_1(a271)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[170, 2391, 32, 2390, 2350])).
% 1.06/1.01 tff(2393,plain,
% 1.06/1.01 (~c3_1(a271)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[90, 2389])).
% 1.06/1.01 tff(2394,plain,
% 1.06/1.01 (hskp14),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[187, 154, 2391, 2393, 181, 2392])).
% 1.06/1.01 tff(2395,plain,
% 1.06/1.01 (~c2_1(a287)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[194, 2394])).
% 1.06/1.01 tff(2396,plain,
% 1.06/1.01 (~c0_1(a287)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[200, 2394])).
% 1.06/1.01 tff(2397,plain,
% 1.06/1.01 (c1_1(a287)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[238, 2394])).
% 1.06/1.01 tff(2398,plain,
% 1.06/1.01 (c0_1(a337)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[1758, 2373])).
% 1.06/1.01 tff(2399,plain,
% 1.06/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a337)) | (~c0_1(a337)) | (~c3_1(a337)) | (~c1_1(a287)) | (~c3_1(a287)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a337)) | (~c0_1(a337)) | (~c3_1(a337)) | (~c1_1(a287)) | (~c3_1(a287)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2400,plain,
% 1.06/1.01 (((~ndr1_0) | (~c1_1(a337)) | (~c3_1(a337)) | (~c0_1(a337)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287))) <=> (c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a337)) | (~c0_1(a337)) | (~c3_1(a337)) | (~c1_1(a287)) | (~c3_1(a287)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2401,plain,
% 1.06/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a337)) | (~c3_1(a337)) | (~c0_1(a337)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a337)) | (~c0_1(a337)) | (~c3_1(a337)) | (~c1_1(a287)) | (~c3_1(a287))))),
% 1.06/1.01 inference(monotonicity,[status(thm)],[2400])).
% 1.06/1.01 tff(2402,plain,
% 1.06/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a337)) | (~c3_1(a337)) | (~c0_1(a337)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a337)) | (~c0_1(a337)) | (~c3_1(a337)) | (~c1_1(a287)) | (~c3_1(a287)))),
% 1.06/1.01 inference(transitivity,[status(thm)],[2401, 2399])).
% 1.06/1.01 tff(2403,plain,
% 1.06/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a337)) | (~c3_1(a337)) | (~c0_1(a337)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287)))),
% 1.06/1.01 inference(quant_inst,[status(thm)],[])).
% 1.06/1.01 tff(2404,plain,
% 1.06/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a337)) | (~c0_1(a337)) | (~c3_1(a337)) | (~c1_1(a287)) | (~c3_1(a287))),
% 1.06/1.01 inference(modus_ponens,[status(thm)],[2403, 2402])).
% 1.06/1.01 tff(2405,plain,
% 1.06/1.01 (~c3_1(a287)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2404, 154, 2398, 2374, 2397, 2396, 2395, 763, 2388])).
% 1.06/1.01 tff(2406,plain,
% 1.06/1.01 ($false),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[207, 154, 2350, 2396, 2395, 2391, 2390, 2393, 10, 2405])).
% 1.06/1.01 tff(2407,plain,(hskp8 | c2_1(a269) | hskp23 | (~c0_1(a274)) | (~c1_1(a274)) | c3_1(a274)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.01 tff(2408,plain,
% 1.06/1.01 ($false),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2407, 2020, 2019, 31, 30, 32, 2018])).
% 1.06/1.01 tff(2409,plain,(hskp8 | hskp23 | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.01 tff(2410,plain,
% 1.06/1.01 (hskp8),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2409, 31, 30])).
% 1.06/1.01 tff(2411,plain,
% 1.06/1.01 (~c0_1(a275)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[410, 2410])).
% 1.06/1.01 tff(2412,plain,
% 1.06/1.01 (~c3_1(a275)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[398, 2410])).
% 1.06/1.01 tff(2413,assumption,(c2_1(a278)), introduced(assumption)).
% 1.06/1.01 tff(2414,plain,
% 1.06/1.01 (hskp8 | hskp7),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2015, 154, 488, 487, 618, 2413])).
% 1.06/1.01 tff(2415,plain,
% 1.06/1.01 (hskp8),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2414, 608])).
% 1.06/1.01 tff(2416,plain,
% 1.06/1.01 (~c2_1(a275)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[404, 2415])).
% 1.06/1.01 tff(2417,plain,
% 1.06/1.01 (c1_1(a275)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[967, 154, 54, 1816, 2416, 1815, 10])).
% 1.06/1.01 tff(2418,plain,
% 1.06/1.01 (hskp9 | c2_1(a275) | (~c1_1(a275))),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[1391, 154, 1816, 228])).
% 1.06/1.01 tff(2419,plain,
% 1.06/1.01 (hskp9),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2418, 2417, 2416])).
% 1.06/1.01 tff(2420,plain,
% 1.06/1.01 (~c1_1(a280)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[251, 2419])).
% 1.06/1.01 tff(2421,plain,
% 1.06/1.01 (c3_1(a280)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[262, 2419])).
% 1.06/1.01 tff(2422,plain,
% 1.06/1.01 (c2_1(a280)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[290, 2419])).
% 1.06/1.01 tff(2423,plain,
% 1.06/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | (c1_1(a280) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c3_1(a278)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | c1_1(a280) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c3_1(a278)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2424,plain,
% 1.06/1.01 (((~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c3_1(a278)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c1_1(a280) | (~c0_1(a280)) | (~c2_1(a280))) <=> (c1_1(a280) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c3_1(a278)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2425,plain,
% 1.06/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c3_1(a278)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c1_1(a280) | (~c0_1(a280)) | (~c2_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | (c1_1(a280) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c3_1(a278)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280))))),
% 1.06/1.01 inference(monotonicity,[status(thm)],[2424])).
% 1.06/1.01 tff(2426,plain,
% 1.06/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c3_1(a278)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c1_1(a280) | (~c0_1(a280)) | (~c2_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | c1_1(a280) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c3_1(a278)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280)))),
% 1.06/1.01 inference(transitivity,[status(thm)],[2425, 2423])).
% 1.06/1.01 tff(2427,plain,
% 1.06/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c3_1(a278)) | c1_1(a280) | (~c3_1(a280)) | (~c0_1(a280)) | c1_1(a280) | (~c0_1(a280)) | (~c2_1(a280)))),
% 1.06/1.01 inference(quant_inst,[status(thm)],[])).
% 1.06/1.01 tff(2428,plain,
% 1.06/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)) | (~c2_1(W)))) | c1_1(a280) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c3_1(a278)) | (~c2_1(a280)) | (~c3_1(a280)) | (~c0_1(a280))),
% 1.06/1.01 inference(modus_ponens,[status(thm)],[2427, 2426])).
% 1.06/1.01 tff(2429,plain,
% 1.06/1.01 (~c0_1(a280)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2428, 154, 488, 487, 2422, 2421, 2420, 53, 2413])).
% 1.06/1.01 tff(2430,plain,
% 1.06/1.01 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | c1_1(a280) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c0_1(a280) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp6 | c1_1(a280) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c0_1(a280) | (~c3_1(a280)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2431,plain,
% 1.06/1.01 ((hskp6 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c1_1(a280) | c0_1(a280) | (~c3_1(a280))) <=> (hskp6 | c1_1(a280) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c0_1(a280) | (~c3_1(a280)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2432,plain,
% 1.06/1.01 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c1_1(a280) | c0_1(a280) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | c1_1(a280) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c0_1(a280) | (~c3_1(a280))))),
% 1.06/1.01 inference(monotonicity,[status(thm)],[2431])).
% 1.06/1.01 tff(2433,plain,
% 1.06/1.01 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c1_1(a280) | c0_1(a280) | (~c3_1(a280)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp6 | c1_1(a280) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c0_1(a280) | (~c3_1(a280)))),
% 1.06/1.01 inference(transitivity,[status(thm)],[2432, 2430])).
% 1.06/1.01 tff(2434,plain,
% 1.06/1.01 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp6 | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c1_1(a280) | c0_1(a280) | (~c3_1(a280)))),
% 1.06/1.01 inference(quant_inst,[status(thm)],[])).
% 1.06/1.01 tff(2435,plain,
% 1.06/1.01 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | (~c1_1(U)) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp6 | c1_1(a280) | (~ndr1_0) | (~c1_1(a278)) | (~c2_1(a278)) | (~c0_1(a278)) | c0_1(a280) | (~c3_1(a280))),
% 1.06/1.01 inference(modus_ponens,[status(thm)],[2434, 2433])).
% 1.06/1.01 tff(2436,plain,
% 1.06/1.01 (hskp6),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2435, 154, 489, 488, 2421, 2420, 1079, 2429, 2413])).
% 1.06/1.01 tff(2437,plain,
% 1.06/1.01 (~c0_1(a273)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[1107, 2436])).
% 1.06/1.01 tff(2438,plain,
% 1.06/1.01 (c1_1(a273)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[1129, 2436])).
% 1.06/1.01 tff(2439,plain,
% 1.06/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c2_1(a293) | c1_1(a280) | c0_1(a273) | (~ndr1_0) | (~c1_1(a273)) | (~c3_1(a273)) | c0_1(a280) | (~c2_1(a280)) | (~c1_1(a293)) | (~c0_1(a293)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c2_1(a293) | c1_1(a280) | c0_1(a273) | (~ndr1_0) | (~c1_1(a273)) | (~c3_1(a273)) | c0_1(a280) | (~c2_1(a280)) | (~c1_1(a293)) | (~c0_1(a293)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2440,plain,
% 1.06/1.01 (((~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | (~c0_1(a293)) | c0_1(a273) | (~c3_1(a273)) | (~c1_1(a273)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280))) <=> (c2_1(a293) | c1_1(a280) | c0_1(a273) | (~ndr1_0) | (~c1_1(a273)) | (~c3_1(a273)) | c0_1(a280) | (~c2_1(a280)) | (~c1_1(a293)) | (~c0_1(a293)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2441,plain,
% 1.06/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(a293) | (~c1_1(a293)) | (~c0_1(a293)) | c0_1(a273) | (~c3_1(a273)) | (~c1_1(a273)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c2_1(a293) | c1_1(a280) | c0_1(a273) | (~ndr1_0) | (~c1_1(a273)) | (~c3_1(a273)) | c0_1(a280) | (~c2_1(a280)) | (~c1_1(a293)) | (~c0_1(a293))))),
% 1.06/1.01 inference(monotonicity,[status(thm)],[2440])).
% 1.06/1.01 tff(2442,plain,
% 1.06/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(a293) | (~c1_1(a293)) | (~c0_1(a293)) | c0_1(a273) | (~c3_1(a273)) | (~c1_1(a273)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c2_1(a293) | c1_1(a280) | c0_1(a273) | (~ndr1_0) | (~c1_1(a273)) | (~c3_1(a273)) | c0_1(a280) | (~c2_1(a280)) | (~c1_1(a293)) | (~c0_1(a293)))),
% 1.06/1.01 inference(transitivity,[status(thm)],[2441, 2439])).
% 1.06/1.01 tff(2443,plain,
% 1.06/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_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) | c2_1(a293) | (~c1_1(a293)) | (~c0_1(a293)) | c0_1(a273) | (~c3_1(a273)) | (~c1_1(a273)) | c1_1(a280) | c0_1(a280) | (~c2_1(a280)))),
% 1.06/1.01 inference(quant_inst,[status(thm)],[])).
% 1.06/1.01 tff(2444,plain,
% 1.06/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c2_1(a293) | c1_1(a280) | c0_1(a273) | (~ndr1_0) | (~c1_1(a273)) | (~c3_1(a273)) | c0_1(a280) | (~c2_1(a280)) | (~c1_1(a293)) | (~c0_1(a293))),
% 1.06/1.01 inference(modus_ponens,[status(thm)],[2443, 2442])).
% 1.06/1.01 tff(2445,plain,
% 1.06/1.01 (~c3_1(a273)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2444, 154, 1992, 1981, 2422, 2438, 1970, 2420, 2437, 332, 2429])).
% 1.06/1.01 tff(2446,plain,
% 1.06/1.01 (hskp3),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[297, 154, 2422, 2421, 2420, 280, 2429])).
% 1.06/1.01 tff(2447,plain,
% 1.06/1.01 (~c2_1(a270)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[303, 2446])).
% 1.06/1.01 tff(2448,plain,
% 1.06/1.01 (c3_1(a270)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[314, 2446])).
% 1.06/1.01 tff(2449,plain,
% 1.06/1.01 (c2_1(a273)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[1118, 2436])).
% 1.06/1.01 tff(2450,plain,
% 1.06/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | (c2_1(a293) | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c3_1(a270)) | (~c2_1(a273)) | (~c1_1(a273)) | c3_1(a273) | (~c1_1(a293)) | (~c0_1(a293)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | c2_1(a293) | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c3_1(a270)) | (~c2_1(a273)) | (~c1_1(a273)) | c3_1(a273) | (~c1_1(a293)) | (~c0_1(a293)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2451,plain,
% 1.06/1.01 (((~ndr1_0) | (~c1_1(a273)) | c3_1(a273) | (~c2_1(a273)) | c2_1(a293) | (~c0_1(a293)) | (~c1_1(a293)) | c2_1(a270) | c1_1(a270) | (~c3_1(a270))) <=> (c2_1(a293) | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c3_1(a270)) | (~c2_1(a273)) | (~c1_1(a273)) | c3_1(a273) | (~c1_1(a293)) | (~c0_1(a293)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2452,plain,
% 1.06/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a273)) | c3_1(a273) | (~c2_1(a273)) | c2_1(a293) | (~c0_1(a293)) | (~c1_1(a293)) | c2_1(a270) | c1_1(a270) | (~c3_1(a270)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | (c2_1(a293) | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c3_1(a270)) | (~c2_1(a273)) | (~c1_1(a273)) | c3_1(a273) | (~c1_1(a293)) | (~c0_1(a293))))),
% 1.06/1.01 inference(monotonicity,[status(thm)],[2451])).
% 1.06/1.01 tff(2453,plain,
% 1.06/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a273)) | c3_1(a273) | (~c2_1(a273)) | c2_1(a293) | (~c0_1(a293)) | (~c1_1(a293)) | c2_1(a270) | c1_1(a270) | (~c3_1(a270)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | c2_1(a293) | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c3_1(a270)) | (~c2_1(a273)) | (~c1_1(a273)) | c3_1(a273) | (~c1_1(a293)) | (~c0_1(a293)))),
% 1.06/1.01 inference(transitivity,[status(thm)],[2452, 2450])).
% 1.06/1.01 tff(2454,plain,
% 1.06/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a273)) | c3_1(a273) | (~c2_1(a273)) | c2_1(a293) | (~c0_1(a293)) | (~c1_1(a293)) | c2_1(a270) | c1_1(a270) | (~c3_1(a270)))),
% 1.06/1.01 inference(quant_inst,[status(thm)],[])).
% 1.06/1.01 tff(2455,plain,
% 1.06/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | c3_1(U) | (~c2_1(U)) | c2_1(V) | (~c0_1(V)) | (~c1_1(V)) | c2_1(W) | c1_1(W) | (~c3_1(W)))) | c2_1(a293) | c2_1(a270) | (~ndr1_0) | c1_1(a270) | (~c3_1(a270)) | (~c2_1(a273)) | (~c1_1(a273)) | c3_1(a273) | (~c1_1(a293)) | (~c0_1(a293))),
% 1.06/1.01 inference(modus_ponens,[status(thm)],[2454, 2453])).
% 1.06/1.01 tff(2456,plain,
% 1.06/1.01 (c1_1(a270)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2455, 154, 1992, 1981, 2438, 2449, 2448, 1970, 2447, 2140, 2445])).
% 1.06/1.01 tff(2457,plain,
% 1.06/1.01 (hskp5),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2049, 154, 1992, 2422, 1970, 2420, 1703, 2429, 2271])).
% 1.06/1.01 tff(2458,plain,
% 1.06/1.01 (~c3_1(a272)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[635, 2457])).
% 1.06/1.01 tff(2459,plain,
% 1.06/1.01 (~c1_1(a272)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[641, 2457])).
% 1.06/1.01 tff(2460,plain,
% 1.06/1.01 (c0_1(a272)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[652, 2457])).
% 1.06/1.01 tff(2461,plain,
% 1.06/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | (c0_1(a273) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | (~c2_1(a273)) | (~c1_1(a273)))) <=> ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | c0_1(a273) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | (~c2_1(a273)) | (~c1_1(a273)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2462,plain,
% 1.06/1.01 (((~ndr1_0) | c3_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a272) | c1_1(a272) | (~c0_1(a272)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273))) <=> (c0_1(a273) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | (~c2_1(a273)) | (~c1_1(a273)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2463,plain,
% 1.06/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a272) | c1_1(a272) | (~c0_1(a272)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273)))) <=> ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | (c0_1(a273) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | (~c2_1(a273)) | (~c1_1(a273))))),
% 1.06/1.01 inference(monotonicity,[status(thm)],[2462])).
% 1.06/1.01 tff(2464,plain,
% 1.06/1.01 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a272) | c1_1(a272) | (~c0_1(a272)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273)))) <=> ((~![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)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | c0_1(a273) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | (~c2_1(a273)) | (~c1_1(a273)))),
% 1.06/1.01 inference(transitivity,[status(thm)],[2463, 2461])).
% 1.06/1.01 tff(2465,plain,
% 1.06/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a272) | (~c2_1(a272)) | (~c0_1(a272)) | c3_1(a272) | c1_1(a272) | (~c0_1(a272)) | c0_1(a273) | (~c2_1(a273)) | (~c1_1(a273)))),
% 1.06/1.01 inference(quant_inst,[status(thm)],[])).
% 1.06/1.01 tff(2466,plain,
% 1.06/1.01 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)) | (~c1_1(W)))) | c0_1(a273) | c1_1(a272) | c3_1(a272) | (~ndr1_0) | (~c0_1(a272)) | (~c2_1(a272)) | (~c2_1(a273)) | (~c1_1(a273))),
% 1.06/1.01 inference(modus_ponens,[status(thm)],[2465, 2464])).
% 1.06/1.01 tff(2467,plain,
% 1.06/1.01 (~c2_1(a272)),
% 1.06/1.01 inference(unit_resolution,[status(thm)],[2466, 154, 2438, 2449, 2460, 2437, 2459, 2458, 1101])).
% 1.06/1.01 tff(2468,plain,
% 1.06/1.01 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | c1_1(a272) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | c2_1(a272) | (~c0_1(a272)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c1_1(a272) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | c2_1(a272) | (~c0_1(a272)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2469,plain,
% 1.06/1.01 ((hskp7 | (~ndr1_0) | c2_1(a270) | (~c1_1(a270)) | (~c3_1(a270)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272))) <=> (hskp7 | c1_1(a272) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | c2_1(a272) | (~c0_1(a272)))),
% 1.06/1.01 inference(rewrite,[status(thm)],[])).
% 1.06/1.01 tff(2470,plain,
% 1.06/1.01 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a270) | (~c1_1(a270)) | (~c3_1(a270)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | c1_1(a272) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | c2_1(a272) | (~c0_1(a272))))),
% 1.06/1.02 inference(monotonicity,[status(thm)],[2469])).
% 1.06/1.02 tff(2471,plain,
% 1.06/1.02 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a270) | (~c1_1(a270)) | (~c3_1(a270)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c1_1(a272) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | c2_1(a272) | (~c0_1(a272)))),
% 1.06/1.02 inference(transitivity,[status(thm)],[2470, 2468])).
% 1.06/1.02 tff(2472,plain,
% 1.06/1.02 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | (hskp7 | (~ndr1_0) | c2_1(a270) | (~c1_1(a270)) | (~c3_1(a270)) | c1_1(a272) | c2_1(a272) | (~c0_1(a272)))),
% 1.06/1.02 inference(quant_inst,[status(thm)],[])).
% 1.06/1.02 tff(2473,plain,
% 1.06/1.02 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)))) | hskp7 | c1_1(a272) | c2_1(a270) | (~ndr1_0) | (~c1_1(a270)) | (~c3_1(a270)) | c2_1(a272) | (~c0_1(a272))),
% 1.06/1.02 inference(modus_ponens,[status(thm)],[2472, 2471])).
% 1.06/1.02 tff(2474,plain,
% 1.06/1.02 ($false),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2473, 154, 608, 2460, 2448, 2459, 2447, 669, 2467, 2456])).
% 1.06/1.02 tff(2475,plain,(hskp7 | c3_1(a293) | (~c0_1(a278)) | (~c1_1(a278)) | (~c2_1(a278)) | (~c3_1(a278)) | c0_1(a275) | hskp2 | c3_1(a275)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.02 tff(2476,plain,
% 1.06/1.02 (hskp7),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2475, 1816, 2010, 2009, 2012, 2011, 2000, 2350, 1815])).
% 1.06/1.02 tff(2477,plain,
% 1.06/1.02 (~c3_1(a274)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[72, 2476])).
% 1.06/1.02 tff(2478,plain,
% 1.06/1.02 (c1_1(a274)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[83, 2476])).
% 1.06/1.02 tff(2479,plain,
% 1.06/1.02 (c0_1(a274)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[430, 2476])).
% 1.06/1.02 tff(2480,plain,
% 1.06/1.02 (hskp8),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2407, 2479, 31, 30, 2478, 2477])).
% 1.06/1.02 tff(2481,plain,
% 1.06/1.02 (~c2_1(a275)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[404, 2480])).
% 1.06/1.02 tff(2482,plain,
% 1.06/1.02 (c1_1(a275)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[967, 154, 2350, 1816, 2481, 1815, 10])).
% 1.06/1.02 tff(2483,plain,
% 1.06/1.02 (hskp9),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2418, 2482, 2481])).
% 1.06/1.02 tff(2484,plain,
% 1.06/1.02 (~c1_1(a280)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[251, 2483])).
% 1.06/1.02 tff(2485,plain,
% 1.06/1.02 (c3_1(a280)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[262, 2483])).
% 1.06/1.02 tff(2486,plain,
% 1.06/1.02 (c2_1(a280)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[290, 2483])).
% 1.06/1.02 tff(2487,plain,
% 1.06/1.02 (~c0_1(a280)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2428, 154, 2009, 2011, 2486, 2485, 2484, 53, 2012])).
% 1.06/1.02 tff(2488,plain,
% 1.06/1.02 (hskp5),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2049, 154, 1992, 2486, 1970, 2484, 1703, 2487, 2000])).
% 1.06/1.02 tff(2489,plain,
% 1.06/1.02 (c0_1(a272)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[652, 2488])).
% 1.06/1.02 tff(2490,plain,
% 1.06/1.02 (~c1_1(a272)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[641, 2488])).
% 1.06/1.02 tff(2491,plain,
% 1.06/1.02 (c2_1(a272)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[993, 2490, 31, 2478, 2477, 2479, 2489])).
% 1.06/1.02 tff(2492,plain,
% 1.06/1.02 (~c3_1(a272)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[635, 2488])).
% 1.06/1.02 tff(2493,plain,
% 1.06/1.02 (hskp6),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2435, 154, 2010, 2009, 2485, 2484, 1079, 2487, 2012])).
% 1.06/1.02 tff(2494,plain,
% 1.06/1.02 (~c0_1(a273)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[1107, 2493])).
% 1.06/1.02 tff(2495,plain,
% 1.06/1.02 (c2_1(a273)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[1118, 2493])).
% 1.06/1.02 tff(2496,plain,
% 1.06/1.02 (c1_1(a273)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[1129, 2493])).
% 1.06/1.02 tff(2497,plain,
% 1.06/1.02 ($false),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2466, 154, 2496, 2495, 2489, 2494, 2490, 2492, 1101, 2491])).
% 1.06/1.02 tff(2498,plain,(c0_1(a275) | hskp23 | c3_1(a275) | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.02 tff(2499,plain,
% 1.06/1.02 ($false),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2498, 2412, 2411, 31, 30])).
% 1.06/1.02 tff(2500,plain,(hskp23 | c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.02 tff(2501,plain,
% 1.06/1.02 (hskp23),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2500, 30])).
% 1.06/1.02 tff(2502,plain,
% 1.06/1.02 (~c3_1(a313)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[16, 2501])).
% 1.06/1.02 tff(2503,plain,
% 1.06/1.02 (~c2_1(a313)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[22, 2501])).
% 1.06/1.02 tff(2504,plain,
% 1.06/1.02 (~c1_1(a313)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[28, 2501])).
% 1.06/1.02 tff(2505,plain,
% 1.06/1.02 (c0_1(a313)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[534, 154, 2350, 2504, 2503, 2502, 10])).
% 1.06/1.02 tff(2506,plain,
% 1.06/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a293) | (~ndr1_0) | (~c1_1(a293)) | c3_1(a293) | (~c0_1(a313)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a293) | (~ndr1_0) | (~c1_1(a293)) | c3_1(a293) | (~c0_1(a313)))),
% 1.06/1.02 inference(rewrite,[status(thm)],[])).
% 1.06/1.02 tff(2507,plain,
% 1.06/1.02 (((~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | c3_1(a293) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313))) <=> (c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a293) | (~ndr1_0) | (~c1_1(a293)) | c3_1(a293) | (~c0_1(a313)))),
% 1.06/1.02 inference(rewrite,[status(thm)],[])).
% 1.06/1.02 tff(2508,plain,
% 1.06/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | c3_1(a293) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a293) | (~ndr1_0) | (~c1_1(a293)) | c3_1(a293) | (~c0_1(a313))))),
% 1.06/1.02 inference(monotonicity,[status(thm)],[2507])).
% 1.06/1.02 tff(2509,plain,
% 1.06/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | c3_1(a293) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a293) | (~ndr1_0) | (~c1_1(a293)) | c3_1(a293) | (~c0_1(a313)))),
% 1.06/1.02 inference(transitivity,[status(thm)],[2508, 2506])).
% 1.06/1.02 tff(2510,plain,
% 1.06/1.02 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a293) | (~c1_1(a293)) | c3_1(a293) | c3_1(a313) | c2_1(a313) | (~c0_1(a313)) | c2_1(a313) | c1_1(a313) | (~c0_1(a313)))),
% 1.06/1.02 inference(quant_inst,[status(thm)],[])).
% 1.06/1.02 tff(2511,plain,
% 1.06/1.02 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | c3_1(U) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a313) | c2_1(a313) | c3_1(a313) | c2_1(a293) | (~ndr1_0) | (~c1_1(a293)) | c3_1(a293) | (~c0_1(a313))),
% 1.06/1.02 inference(modus_ponens,[status(thm)],[2510, 2509])).
% 1.06/1.02 tff(2512,plain,
% 1.06/1.02 (c3_1(a293) | (~c0_1(a313))),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2511, 154, 1981, 2504, 2503, 2502, 1970, 547])).
% 1.06/1.02 tff(2513,plain,
% 1.06/1.02 (c3_1(a293)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2512, 2505])).
% 1.06/1.02 tff(2514,plain,
% 1.06/1.02 ($false),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[1619, 154, 1656, 1655, 1664, 550, 549, 548, 547, 536])).
% 1.06/1.02 tff(2515,plain,((~hskp25) | c1_1(a313) | c2_1(a313) | c3_1(a313) | (~c0_1(a313))), inference(lemma,lemma(discharge,[]))).
% 1.06/1.02 tff(2516,plain,
% 1.06/1.02 (~hskp25),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2515, 2504, 2503, 2502, 2505])).
% 1.06/1.02 tff(2517,plain,
% 1.06/1.02 (hskp14),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[1677, 2516])).
% 1.06/1.02 tff(2518,plain,
% 1.06/1.02 (~c2_1(a287)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[194, 2517])).
% 1.06/1.02 tff(2519,plain,
% 1.06/1.02 (~c0_1(a287)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[200, 2517])).
% 1.06/1.02 tff(2520,plain,
% 1.06/1.02 (c1_1(a287)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[238, 2517])).
% 1.06/1.02 tff(2521,plain,
% 1.06/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)) | (~c1_1(a293)) | (~c0_1(a293)) | (~c3_1(a293)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)) | (~c1_1(a293)) | (~c0_1(a293)) | (~c3_1(a293)))),
% 1.06/1.02 inference(rewrite,[status(thm)],[])).
% 1.06/1.02 tff(2522,plain,
% 1.06/1.02 (((~ndr1_0) | (~c1_1(a293)) | (~c3_1(a293)) | (~c0_1(a293)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287))) <=> (c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)) | (~c1_1(a293)) | (~c0_1(a293)) | (~c3_1(a293)))),
% 1.06/1.02 inference(rewrite,[status(thm)],[])).
% 1.06/1.02 tff(2523,plain,
% 1.06/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a293)) | (~c3_1(a293)) | (~c0_1(a293)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)) | (~c1_1(a293)) | (~c0_1(a293)) | (~c3_1(a293))))),
% 1.06/1.02 inference(monotonicity,[status(thm)],[2522])).
% 1.06/1.02 tff(2524,plain,
% 1.06/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a293)) | (~c3_1(a293)) | (~c0_1(a293)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)) | (~c1_1(a293)) | (~c0_1(a293)) | (~c3_1(a293)))),
% 1.06/1.02 inference(transitivity,[status(thm)],[2523, 2521])).
% 1.06/1.02 tff(2525,plain,
% 1.06/1.02 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a293)) | (~c3_1(a293)) | (~c0_1(a293)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287)))),
% 1.06/1.02 inference(quant_inst,[status(thm)],[])).
% 1.06/1.02 tff(2526,plain,
% 1.06/1.02 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a287)) | (~c3_1(a287)) | (~c1_1(a293)) | (~c0_1(a293)) | (~c3_1(a293))),
% 1.06/1.02 inference(modus_ponens,[status(thm)],[2525, 2524])).
% 1.06/1.02 tff(2527,plain,
% 1.06/1.02 (~c3_1(a287)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2526, 154, 1992, 1981, 2520, 2519, 2518, 763, 2513])).
% 1.06/1.02 tff(2528,plain,
% 1.06/1.02 ($false),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[1219, 154, 2520, 2504, 2503, 2502, 2518, 547, 2505, 2527])).
% 1.06/1.02 tff(2529,plain,(c2_1(a269)), inference(lemma,lemma(discharge,[]))).
% 1.06/1.02 tff(2530,plain,
% 1.06/1.02 (~hskp2),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[1415, 2529])).
% 1.06/1.02 tff(2531,plain,
% 1.06/1.02 (c0_1(a313)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[534, 154, 2530, 29, 23, 17, 10])).
% 1.06/1.02 tff(2532,plain,
% 1.06/1.02 (c3_1(a293) | (~c0_1(a313))),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2511, 154, 1981, 29, 23, 17, 1970, 547])).
% 1.06/1.02 tff(2533,plain,
% 1.06/1.02 (c3_1(a293)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2532, 2531])).
% 1.06/1.02 tff(2534,plain,
% 1.06/1.02 (~hskp25),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2515, 2531, 29, 17, 23])).
% 1.06/1.02 tff(2535,plain,
% 1.06/1.02 (hskp14),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[1677, 2534])).
% 1.06/1.02 tff(2536,plain,
% 1.06/1.02 (~c2_1(a287)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[194, 2535])).
% 1.06/1.02 tff(2537,plain,
% 1.06/1.02 (~c0_1(a287)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[200, 2535])).
% 1.06/1.02 tff(2538,plain,
% 1.06/1.02 (c1_1(a287)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[238, 2535])).
% 1.06/1.02 tff(2539,plain,
% 1.06/1.02 (~c3_1(a287)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2526, 154, 1992, 1981, 2538, 2537, 2536, 763, 2533])).
% 1.06/1.02 tff(2540,plain,
% 1.06/1.02 ($false),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[1219, 154, 2538, 29, 23, 17, 2536, 547, 2531, 2539])).
% 1.06/1.02 tff(2541,plain,(~hskp23), inference(lemma,lemma(discharge,[]))).
% 1.06/1.02 tff(2542,plain,
% 1.06/1.02 (~c3_1(a293)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[1999, 2541])).
% 1.06/1.02 tff(2543,plain,
% 1.06/1.02 (hskp28),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2007, 2541, 2542])).
% 1.06/1.02 tff(2544,plain,
% 1.06/1.02 (c1_1(a278)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[462, 2543])).
% 1.06/1.02 tff(2545,plain,
% 1.06/1.02 (c0_1(a278)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[473, 2543])).
% 1.06/1.02 tff(2546,plain,
% 1.06/1.02 (c3_1(a278)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[484, 2543])).
% 1.06/1.02 tff(2547,plain,
% 1.06/1.02 (c2_1(a278)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[497, 2546, 2545, 2544, 2541])).
% 1.06/1.02 tff(2548,plain,
% 1.06/1.02 (hskp4),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[524, 2019, 31, 32, 2020, 2018])).
% 1.06/1.02 tff(2549,plain,
% 1.06/1.02 (~c1_1(a271)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[96, 2548])).
% 1.06/1.02 tff(2550,plain,
% 1.06/1.02 (~c0_1(a271)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[102, 2548])).
% 1.06/1.02 tff(2551,plain,
% 1.06/1.02 (c2_1(a271)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[170, 2550, 32, 2549, 2530])).
% 1.06/1.02 tff(2552,plain,
% 1.06/1.02 (~c3_1(a271)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[90, 2548])).
% 1.06/1.02 tff(2553,plain,
% 1.06/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a287)) | (~c3_1(a287)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a287)) | (~c3_1(a287)))),
% 1.06/1.02 inference(rewrite,[status(thm)],[])).
% 1.06/1.02 tff(2554,plain,
% 1.06/1.02 (((~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287))) <=> (c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a287)) | (~c3_1(a287)))),
% 1.06/1.02 inference(rewrite,[status(thm)],[])).
% 1.06/1.02 tff(2555,plain,
% 1.06/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a287)) | (~c3_1(a287))))),
% 1.06/1.02 inference(monotonicity,[status(thm)],[2554])).
% 1.06/1.02 tff(2556,plain,
% 1.06/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a287)) | (~c3_1(a287)))),
% 1.06/1.02 inference(transitivity,[status(thm)],[2555, 2553])).
% 1.06/1.02 tff(2557,plain,
% 1.06/1.02 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | c0_1(a287) | (~c3_1(a287)) | (~c1_1(a287)) | c2_1(a287) | c0_1(a287) | (~c3_1(a287)))),
% 1.06/1.02 inference(quant_inst,[status(thm)],[])).
% 1.06/1.02 tff(2558,plain,
% 1.06/1.02 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c1_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a287) | c2_1(a287) | (~ndr1_0) | (~c1_1(a278)) | (~c3_1(a278)) | (~c0_1(a278)) | (~c1_1(a287)) | (~c3_1(a287))),
% 1.06/1.02 inference(modus_ponens,[status(thm)],[2557, 2556])).
% 1.06/1.02 tff(2559,plain,
% 1.06/1.02 (~c3_1(a287)),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[2558, 154, 489, 488, 487, 1206, 1205, 1204, 763])).
% 1.06/1.02 tff(2560,plain,
% 1.06/1.02 ($false),
% 1.06/1.02 inference(unit_resolution,[status(thm)],[207, 154, 2530, 1205, 1204, 116, 115, 114, 10, 2559])).
% 1.06/1.02 tff(2561,plain,((~hskp14) | c0_1(a271) | c1_1(a271) | c3_1(a271) | (~c0_1(a278)) | (~c1_1(a278)) | (~c3_1(a278))), inference(lemma,lemma(discharge,[]))).
% 1.13/1.02 tff(2562,plain,
% 1.13/1.02 (~hskp14),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[2561, 2550, 2549, 2552, 2010, 2009, 2011])).
% 1.13/1.02 tff(2563,plain,
% 1.13/1.02 ($false),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[187, 154, 2562, 2550, 2552, 181, 2551])).
% 1.13/1.02 tff(2564,plain,(hskp8 | hskp23), inference(lemma,lemma(discharge,[]))).
% 1.13/1.02 tff(2565,plain,
% 1.13/1.02 (hskp8),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[2564, 2541])).
% 1.13/1.02 tff(2566,plain,
% 1.13/1.02 (~c3_1(a275)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[398, 2565])).
% 1.13/1.02 tff(2567,plain,
% 1.13/1.02 (~c2_1(a275)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[404, 2565])).
% 1.13/1.02 tff(2568,plain,
% 1.13/1.02 (~c0_1(a275)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[410, 2565])).
% 1.13/1.02 tff(2569,plain,
% 1.13/1.02 (c1_1(a275)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[967, 154, 2530, 2568, 2567, 2566, 10])).
% 1.13/1.02 tff(2570,plain,
% 1.13/1.02 (hskp9 | (~c1_1(a275))),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1391, 154, 2568, 2567, 228])).
% 1.13/1.02 tff(2571,plain,
% 1.13/1.02 (hskp9),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[2570, 2569])).
% 1.13/1.02 tff(2572,plain,
% 1.13/1.02 (~c1_1(a280)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[251, 2571])).
% 1.13/1.02 tff(2573,plain,
% 1.13/1.02 (c3_1(a280)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[262, 2571])).
% 1.13/1.02 tff(2574,plain,
% 1.13/1.02 (c2_1(a280)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[290, 2571])).
% 1.13/1.02 tff(2575,plain,
% 1.13/1.02 (~c0_1(a280)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[2428, 154, 2544, 2546, 2574, 2573, 2572, 53, 2547])).
% 1.13/1.02 tff(2576,plain,
% 1.13/1.02 (hskp5),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[2049, 154, 1992, 2574, 1970, 2572, 1703, 2575, 2542])).
% 1.13/1.02 tff(2577,plain,
% 1.13/1.02 (c0_1(a272)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[652, 2576])).
% 1.13/1.02 tff(2578,plain,
% 1.13/1.02 (hskp7),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[2475, 2568, 2545, 2544, 2547, 2546, 2542, 2530, 2566])).
% 1.13/1.02 tff(2579,plain,
% 1.13/1.02 (c0_1(a274)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[430, 2578])).
% 1.13/1.02 tff(2580,plain,
% 1.13/1.02 (~c3_1(a274)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[72, 2578])).
% 1.13/1.02 tff(2581,plain,
% 1.13/1.02 (c1_1(a274)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[83, 2578])).
% 1.13/1.02 tff(2582,plain,
% 1.13/1.02 (~c1_1(a272)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[641, 2576])).
% 1.13/1.02 tff(2583,plain,
% 1.13/1.02 (c2_1(a272)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[993, 2582, 2541, 2581, 2580, 2579, 2577])).
% 1.13/1.02 tff(2584,plain,
% 1.13/1.02 (~c3_1(a272)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[635, 2576])).
% 1.13/1.02 tff(2585,plain,
% 1.13/1.02 (hskp6),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[2435, 154, 2545, 2544, 2573, 2572, 1079, 2575, 2547])).
% 1.13/1.02 tff(2586,plain,
% 1.13/1.02 (~c0_1(a273)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1107, 2585])).
% 1.13/1.02 tff(2587,plain,
% 1.13/1.02 (c2_1(a273)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1118, 2585])).
% 1.13/1.02 tff(2588,plain,
% 1.13/1.02 (c1_1(a273)),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[1129, 2585])).
% 1.13/1.02 tff(2589,plain,
% 1.13/1.02 ($false),
% 1.13/1.02 inference(unit_resolution,[status(thm)],[2466, 154, 2588, 2587, 2577, 2586, 2582, 2584, 1101, 2583])).
% 1.13/1.02 % SZS output end Proof
%------------------------------------------------------------------------------