TSTP Solution File: SYN451-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN451-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n005.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 23:55:30 EDT 2022
% Result : Unsatisfiable 0.99s 0.88s
% Output : Proof 1.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SYN451-1 : TPTP v8.1.0. Released v2.1.0.
% 0.04/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n005.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Mon Sep 5 03:48:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.99/0.88 % SZS status Unsatisfiable
% 0.99/0.88 % SZS output start Proof
% 0.99/0.88 tff(c0_1_type, type, (
% 0.99/0.88 c0_1: $i > $o)).
% 0.99/0.88 tff(a731_type, type, (
% 0.99/0.88 a731: $i)).
% 0.99/0.88 tff(c3_1_type, type, (
% 0.99/0.88 c3_1: $i > $o)).
% 0.99/0.88 tff(c1_1_type, type, (
% 0.99/0.88 c1_1: $i > $o)).
% 0.99/0.88 tff(c2_1_type, type, (
% 0.99/0.88 c2_1: $i > $o)).
% 0.99/0.88 tff(ndr1_0_type, type, (
% 0.99/0.88 ndr1_0: $o)).
% 0.99/0.88 tff(hskp1_type, type, (
% 0.99/0.88 hskp1: $o)).
% 0.99/0.88 tff(a750_type, type, (
% 0.99/0.88 a750: $i)).
% 0.99/0.88 tff(hskp27_type, type, (
% 0.99/0.88 hskp27: $o)).
% 0.99/0.88 tff(hskp19_type, type, (
% 0.99/0.88 hskp19: $o)).
% 0.99/0.88 tff(hskp8_type, type, (
% 0.99/0.88 hskp8: $o)).
% 0.99/0.88 tff(a730_type, type, (
% 0.99/0.88 a730: $i)).
% 0.99/0.88 tff(a735_type, type, (
% 0.99/0.88 a735: $i)).
% 0.99/0.88 tff(hskp5_type, type, (
% 0.99/0.88 hskp5: $o)).
% 0.99/0.88 tff(hskp11_type, type, (
% 0.99/0.88 hskp11: $o)).
% 0.99/0.88 tff(hskp25_type, type, (
% 0.99/0.88 hskp25: $o)).
% 0.99/0.88 tff(hskp0_type, type, (
% 0.99/0.88 hskp0: $o)).
% 0.99/0.88 tff(hskp4_type, type, (
% 0.99/0.88 hskp4: $o)).
% 0.99/0.88 tff(a734_type, type, (
% 0.99/0.88 a734: $i)).
% 0.99/0.88 tff(hskp7_type, type, (
% 0.99/0.88 hskp7: $o)).
% 0.99/0.88 tff(a759_type, type, (
% 0.99/0.88 a759: $i)).
% 0.99/0.88 tff(hskp13_type, type, (
% 0.99/0.88 hskp13: $o)).
% 0.99/0.88 tff(a763_type, type, (
% 0.99/0.88 a763: $i)).
% 0.99/0.88 tff(hskp15_type, type, (
% 0.99/0.88 hskp15: $o)).
% 0.99/0.88 tff(a764_type, type, (
% 0.99/0.88 a764: $i)).
% 0.99/0.88 tff(hskp18_type, type, (
% 0.99/0.88 hskp18: $o)).
% 0.99/0.88 tff(a741_type, type, (
% 0.99/0.88 a741: $i)).
% 0.99/0.88 tff(hskp24_type, type, (
% 0.99/0.88 hskp24: $o)).
% 0.99/0.88 tff(hskp23_type, type, (
% 0.99/0.88 hskp23: $o)).
% 0.99/0.88 tff(a738_type, type, (
% 0.99/0.88 a738: $i)).
% 0.99/0.88 tff(hskp6_type, type, (
% 0.99/0.88 hskp6: $o)).
% 0.99/0.88 tff(a746_type, type, (
% 0.99/0.88 a746: $i)).
% 0.99/0.88 tff(hskp9_type, type, (
% 0.99/0.88 hskp9: $o)).
% 0.99/0.88 tff(a732_type, type, (
% 0.99/0.88 a732: $i)).
% 0.99/0.88 tff(hskp2_type, type, (
% 0.99/0.88 hskp2: $o)).
% 0.99/0.88 tff(a793_type, type, (
% 0.99/0.88 a793: $i)).
% 0.99/0.88 tff(hskp21_type, type, (
% 0.99/0.88 hskp21: $o)).
% 0.99/0.88 tff(a766_type, type, (
% 0.99/0.88 a766: $i)).
% 0.99/0.88 tff(hskp17_type, type, (
% 0.99/0.88 hskp17: $o)).
% 0.99/0.88 tff(a744_type, type, (
% 0.99/0.88 a744: $i)).
% 0.99/0.88 tff(a777_type, type, (
% 0.99/0.88 a777: $i)).
% 0.99/0.88 tff(a798_type, type, (
% 0.99/0.88 a798: $i)).
% 0.99/0.88 tff(hskp16_type, type, (
% 0.99/0.88 hskp16: $o)).
% 0.99/0.88 tff(a729_type, type, (
% 0.99/0.88 a729: $i)).
% 0.99/0.88 tff(a802_type, type, (
% 0.99/0.88 a802: $i)).
% 0.99/0.88 tff(a748_type, type, (
% 0.99/0.88 a748: $i)).
% 0.99/0.88 tff(hskp10_type, type, (
% 0.99/0.88 hskp10: $o)).
% 0.99/0.88 tff(a755_type, type, (
% 0.99/0.88 a755: $i)).
% 0.99/0.88 tff(hskp12_type, type, (
% 0.99/0.88 hskp12: $o)).
% 0.99/0.88 tff(a733_type, type, (
% 0.99/0.88 a733: $i)).
% 0.99/0.88 tff(hskp3_type, type, (
% 0.99/0.88 hskp3: $o)).
% 0.99/0.88 tff(a749_type, type, (
% 0.99/0.88 a749: $i)).
% 0.99/0.88 tff(a775_type, type, (
% 0.99/0.88 a775: $i)).
% 0.99/0.88 tff(a779_type, type, (
% 0.99/0.88 a779: $i)).
% 0.99/0.88 tff(hskp20_type, type, (
% 0.99/0.88 hskp20: $o)).
% 0.99/0.88 tff(a762_type, type, (
% 0.99/0.88 a762: $i)).
% 0.99/0.88 tff(hskp14_type, type, (
% 0.99/0.88 hskp14: $o)).
% 0.99/0.88 tff(a784_type, type, (
% 0.99/0.88 a784: $i)).
% 0.99/0.88 tff(hskp28_type, type, (
% 0.99/0.88 hskp28: $o)).
% 0.99/0.88 tff(1,plain,
% 0.99/0.88 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W)))),
% 0.99/0.88 inference(bind,[status(th)],[])).
% 0.99/0.88 tff(2,plain,
% 0.99/0.88 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))),
% 0.99/0.88 inference(quant_intro,[status(thm)],[1])).
% 0.99/0.88 tff(3,plain,
% 0.99/0.88 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))),
% 0.99/0.88 inference(rewrite,[status(thm)],[])).
% 0.99/0.88 tff(4,plain,
% 0.99/0.88 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) <=> ((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c2_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V))) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c2_1(V)) | c0_1(W)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V))) | c0_1(W)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V))) | c0_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c2_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W)))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c2_1(V)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W)) | c1_1(W)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c2_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W)))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c2_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W)) | c3_1(W)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c2_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))))),
% 0.99/0.88 inference(bind,[status(th)],[])).
% 0.99/0.88 tff(5,plain,
% 0.99/0.88 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c2_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))),
% 0.99/0.88 inference(quant_intro,[status(thm)],[4])).
% 0.99/0.88 tff(6,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c2_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause171')).
% 0.99/0.88 tff(7,plain,
% 0.99/0.88 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))),
% 0.99/0.88 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.99/0.88 tff(8,plain,
% 0.99/0.88 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))),
% 0.99/0.88 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.99/0.88 tff(9,plain,(
% 0.99/0.88 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))),
% 0.99/0.88 inference(skolemize,[status(sab)],[8])).
% 0.99/0.88 tff(10,plain,
% 0.99/0.88 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))),
% 0.99/0.88 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.99/0.88 tff(11,plain,
% 0.99/0.88 (^[V: $i, U: $i] : refl((hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V)) <=> (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V)))),
% 0.99/0.88 inference(bind,[status(th)],[])).
% 0.99/0.88 tff(12,plain,
% 0.99/0.88 (![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))),
% 0.99/0.88 inference(quant_intro,[status(thm)],[11])).
% 0.99/0.88 tff(13,plain,
% 0.99/0.88 (![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))),
% 0.99/0.88 inference(rewrite,[status(thm)],[])).
% 0.99/0.88 tff(14,plain,
% 0.99/0.88 (^[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(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | c0_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V)) | c1_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V)))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V)) | c2_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V)))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) | hskp25) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V)) | hskp25))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V)) | hskp25) <=> (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) | hskp25) <=> (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))))),
% 0.99/0.88 inference(bind,[status(th)],[])).
% 0.99/0.88 tff(15,plain,
% 0.99/0.88 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) | hskp25) <=> ![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))),
% 0.99/0.88 inference(quant_intro,[status(thm)],[14])).
% 0.99/0.88 tff(16,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) | hskp25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause149')).
% 0.99/0.88 tff(17,plain,
% 0.99/0.88 (![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))),
% 0.99/0.88 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.99/0.88 tff(18,plain,
% 0.99/0.88 (![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))),
% 0.99/0.88 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.99/0.88 tff(19,plain,(
% 0.99/0.88 ![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))),
% 0.99/0.88 inference(skolemize,[status(sab)],[18])).
% 0.99/0.88 tff(20,plain,
% 0.99/0.88 (![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))),
% 0.99/0.88 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.99/0.88 tff(21,assumption,(~hskp11), introduced(assumption)).
% 0.99/0.88 tff(22,assumption,(~c0_1(a734)), introduced(assumption)).
% 0.99/0.88 tff(23,plain,
% 0.99/0.88 (^[V: $i, U: $i] : refl((hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))) <=> (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))))),
% 0.99/0.88 inference(bind,[status(th)],[])).
% 0.99/0.88 tff(24,plain,
% 0.99/0.88 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 0.99/0.88 inference(quant_intro,[status(thm)],[23])).
% 0.99/0.88 tff(25,plain,
% 0.99/0.88 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 0.99/0.88 inference(rewrite,[status(thm)],[])).
% 0.99/0.88 tff(26,plain,
% 0.99/0.88 (^[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)) | (~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))) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | hskp13) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))) | hskp13))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V))) | hskp13) <=> (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | hskp13) <=> (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))))),
% 0.99/0.89 inference(bind,[status(th)],[])).
% 0.99/0.89 tff(27,plain,
% 0.99/0.89 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | hskp13) <=> ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 0.99/0.89 inference(quant_intro,[status(thm)],[26])).
% 0.99/0.89 tff(28,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | hskp13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause158')).
% 0.99/0.89 tff(29,plain,
% 0.99/0.89 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[28, 27])).
% 0.99/0.89 tff(30,plain,
% 0.99/0.89 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[29, 25])).
% 0.99/0.89 tff(31,plain,(
% 0.99/0.89 ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 0.99/0.89 inference(skolemize,[status(sab)],[30])).
% 0.99/0.89 tff(32,plain,
% 0.99/0.89 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[31, 24])).
% 0.99/0.89 tff(33,assumption,(~c3_1(a734)), introduced(assumption)).
% 0.99/0.89 tff(34,plain,
% 0.99/0.89 (^[V: $i, U: $i] : refl((hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))))),
% 0.99/0.89 inference(bind,[status(th)],[])).
% 0.99/0.89 tff(35,plain,
% 0.99/0.89 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 0.99/0.89 inference(quant_intro,[status(thm)],[34])).
% 0.99/0.89 tff(36,plain,
% 0.99/0.89 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(37,plain,
% 0.99/0.89 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V))))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c2_1(V)) | hskp11) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) | hskp11))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) | hskp11) <=> (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c2_1(V)) | hskp11) <=> (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))))),
% 0.99/0.89 inference(bind,[status(th)],[])).
% 0.99/0.89 tff(38,plain,
% 0.99/0.89 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c2_1(V)) | hskp11) <=> ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 0.99/0.89 inference(quant_intro,[status(thm)],[37])).
% 0.99/0.89 tff(39,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c2_1(U)) | c0_1(V)) | c2_1(V)) | hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause157')).
% 0.99/0.89 tff(40,plain,
% 0.99/0.89 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[39, 38])).
% 0.99/0.89 tff(41,plain,
% 0.99/0.89 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[40, 36])).
% 0.99/0.89 tff(42,plain,(
% 0.99/0.89 ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 0.99/0.89 inference(skolemize,[status(sab)],[41])).
% 0.99/0.89 tff(43,plain,
% 0.99/0.89 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[42, 35])).
% 0.99/0.89 tff(44,assumption,(~c1_1(a734)), introduced(assumption)).
% 0.99/0.89 tff(45,plain,
% 0.99/0.89 (((~hskp4) | c1_1(a734)) <=> ((~hskp4) | c1_1(a734))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(46,axiom,((~hskp4) | c1_1(a734)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause75')).
% 0.99/0.89 tff(47,plain,
% 0.99/0.89 ((~hskp4) | c1_1(a734)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[46, 45])).
% 0.99/0.89 tff(48,plain,
% 0.99/0.89 ((~hskp4) | c1_1(a734)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[47, 45])).
% 0.99/0.89 tff(49,plain,
% 0.99/0.89 ((~hskp4) | c1_1(a734)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[48, 45])).
% 0.99/0.89 tff(50,plain,
% 0.99/0.89 ((~hskp4) | c1_1(a734)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[49, 45])).
% 0.99/0.89 tff(51,plain,
% 0.99/0.89 ((~hskp4) | c1_1(a734)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[50, 45])).
% 0.99/0.89 tff(52,plain,
% 0.99/0.89 ((~hskp4) | c1_1(a734)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[51, 45])).
% 0.99/0.89 tff(53,plain,
% 0.99/0.89 ((~hskp4) | c1_1(a734)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[52, 45])).
% 0.99/0.89 tff(54,plain,
% 0.99/0.89 ((~hskp4) | c1_1(a734)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[53, 45])).
% 0.99/0.89 tff(55,plain,
% 0.99/0.89 (~hskp4),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[54, 44])).
% 0.99/0.89 tff(56,assumption,(hskp1), introduced(assumption)).
% 0.99/0.89 tff(57,plain,
% 0.99/0.89 (((~hskp1) | (~c2_1(a731))) <=> ((~hskp1) | (~c2_1(a731)))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(58,plain,
% 0.99/0.89 (((~c2_1(a731)) | (~hskp1)) <=> ((~hskp1) | (~c2_1(a731)))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(59,axiom,((~c2_1(a731)) | (~hskp1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause121')).
% 0.99/0.89 tff(60,plain,
% 0.99/0.89 ((~hskp1) | (~c2_1(a731))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[59, 58])).
% 0.99/0.89 tff(61,plain,
% 0.99/0.89 ((~hskp1) | (~c2_1(a731))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[60, 57])).
% 0.99/0.89 tff(62,plain,
% 0.99/0.89 (~c2_1(a731)),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[61, 56])).
% 0.99/0.89 tff(63,plain,
% 0.99/0.89 (((~hskp1) | c3_1(a731)) <=> ((~hskp1) | c3_1(a731))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(64,axiom,((~hskp1) | c3_1(a731)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause78')).
% 0.99/0.89 tff(65,plain,
% 0.99/0.89 ((~hskp1) | c3_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.99/0.89 tff(66,plain,
% 0.99/0.89 ((~hskp1) | c3_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[65, 63])).
% 0.99/0.89 tff(67,plain,
% 0.99/0.89 ((~hskp1) | c3_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[66, 63])).
% 0.99/0.89 tff(68,plain,
% 0.99/0.89 ((~hskp1) | c3_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[67, 63])).
% 0.99/0.89 tff(69,plain,
% 0.99/0.89 ((~hskp1) | c3_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[68, 63])).
% 0.99/0.89 tff(70,plain,
% 0.99/0.89 ((~hskp1) | c3_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[69, 63])).
% 0.99/0.89 tff(71,plain,
% 0.99/0.89 ((~hskp1) | c3_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[70, 63])).
% 0.99/0.89 tff(72,plain,
% 0.99/0.89 ((~hskp1) | c3_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[71, 63])).
% 0.99/0.89 tff(73,plain,
% 0.99/0.89 (c3_1(a731)),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[72, 56])).
% 0.99/0.89 tff(74,plain,
% 0.99/0.89 (((~hskp1) | c1_1(a731)) <=> ((~hskp1) | c1_1(a731))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(75,axiom,((~hskp1) | c1_1(a731)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause77')).
% 0.99/0.89 tff(76,plain,
% 0.99/0.89 ((~hskp1) | c1_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.99/0.89 tff(77,plain,
% 0.99/0.89 ((~hskp1) | c1_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[76, 74])).
% 0.99/0.89 tff(78,plain,
% 0.99/0.89 ((~hskp1) | c1_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[77, 74])).
% 0.99/0.89 tff(79,plain,
% 0.99/0.89 ((~hskp1) | c1_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[78, 74])).
% 0.99/0.89 tff(80,plain,
% 0.99/0.89 ((~hskp1) | c1_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[79, 74])).
% 0.99/0.89 tff(81,plain,
% 0.99/0.89 ((~hskp1) | c1_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[80, 74])).
% 0.99/0.89 tff(82,plain,
% 0.99/0.89 ((~hskp1) | c1_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[81, 74])).
% 0.99/0.89 tff(83,plain,
% 0.99/0.89 ((~hskp1) | c1_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[82, 74])).
% 0.99/0.89 tff(84,plain,
% 0.99/0.89 (c1_1(a731)),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[83, 56])).
% 0.99/0.89 tff(85,assumption,(~ndr1_0), introduced(assumption)).
% 0.99/0.89 tff(86,plain,
% 0.99/0.89 ((ndr1_0 | (~hskp13)) <=> (ndr1_0 | (~hskp13))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(87,plain,
% 0.99/0.89 (((~hskp13) | ndr1_0) <=> (ndr1_0 | (~hskp13))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(88,axiom,((~hskp13) | ndr1_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause17')).
% 0.99/0.89 tff(89,plain,
% 0.99/0.89 (ndr1_0 | (~hskp13)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[88, 87])).
% 0.99/0.89 tff(90,plain,
% 0.99/0.89 (ndr1_0 | (~hskp13)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[89, 86])).
% 0.99/0.89 tff(91,plain,
% 0.99/0.89 (~hskp13),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[90, 85])).
% 0.99/0.89 tff(92,plain,
% 0.99/0.89 ((ndr1_0 | (~hskp24)) <=> (ndr1_0 | (~hskp24))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(93,plain,
% 0.99/0.89 (((~hskp24) | ndr1_0) <=> (ndr1_0 | (~hskp24))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(94,axiom,((~hskp24) | ndr1_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause6')).
% 0.99/0.89 tff(95,plain,
% 0.99/0.89 (ndr1_0 | (~hskp24)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[94, 93])).
% 0.99/0.89 tff(96,plain,
% 0.99/0.89 (ndr1_0 | (~hskp24)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[95, 92])).
% 0.99/0.89 tff(97,plain,
% 0.99/0.89 (~hskp24),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[96, 85])).
% 0.99/0.89 tff(98,plain,
% 0.99/0.89 ((ndr1_0 | (~hskp23)) <=> (ndr1_0 | (~hskp23))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(99,plain,
% 0.99/0.89 (((~hskp23) | ndr1_0) <=> (ndr1_0 | (~hskp23))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(100,axiom,((~hskp23) | ndr1_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause7')).
% 0.99/0.89 tff(101,plain,
% 0.99/0.89 (ndr1_0 | (~hskp23)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[100, 99])).
% 0.99/0.89 tff(102,plain,
% 0.99/0.89 (ndr1_0 | (~hskp23)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[101, 98])).
% 0.99/0.89 tff(103,plain,
% 0.99/0.89 (~hskp23),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[102, 85])).
% 0.99/0.89 tff(104,plain,
% 0.99/0.89 ((hskp24 | hskp23 | hskp13) <=> (hskp24 | hskp23 | hskp13)),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(105,plain,
% 0.99/0.89 (((hskp23 | hskp24) | hskp13) <=> (hskp24 | hskp23 | hskp13)),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(106,axiom,((hskp23 | hskp24) | hskp13), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause32')).
% 0.99/0.89 tff(107,plain,
% 0.99/0.89 (hskp24 | hskp23 | hskp13),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.99/0.89 tff(108,plain,
% 0.99/0.89 (hskp24 | hskp23 | hskp13),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[107, 104])).
% 0.99/0.89 tff(109,plain,
% 0.99/0.89 (hskp24 | hskp23 | hskp13),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[108, 104])).
% 0.99/0.89 tff(110,plain,
% 0.99/0.89 (hskp24 | hskp23 | hskp13),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[109, 104])).
% 0.99/0.89 tff(111,plain,
% 0.99/0.89 (hskp24 | hskp23 | hskp13),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[110, 104])).
% 0.99/0.89 tff(112,plain,
% 0.99/0.89 (hskp24 | hskp23 | hskp13),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[111, 104])).
% 0.99/0.89 tff(113,plain,
% 0.99/0.89 (hskp24 | hskp23 | hskp13),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[112, 104])).
% 0.99/0.89 tff(114,plain,
% 0.99/0.89 (hskp24 | hskp23 | hskp13),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[113, 104])).
% 0.99/0.89 tff(115,plain,
% 0.99/0.89 ($false),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[114, 103, 97, 91])).
% 0.99/0.89 tff(116,plain,(ndr1_0), inference(lemma,lemma(discharge,[]))).
% 0.99/0.89 tff(117,plain,
% 0.99/0.89 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | (c1_1(a734) | c0_1(a734) | c3_1(a734) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | c1_1(a734) | c0_1(a734) | c3_1(a734) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(118,plain,
% 0.99/0.89 (((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a734) | c0_1(a734) | c3_1(a734)) <=> (c1_1(a734) | c0_1(a734) | c3_1(a734) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(119,plain,
% 0.99/0.89 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | ((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a734) | c0_1(a734) | c3_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | (c1_1(a734) | c0_1(a734) | c3_1(a734) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731))))),
% 0.99/0.89 inference(monotonicity,[status(thm)],[118])).
% 0.99/0.89 tff(120,plain,
% 0.99/0.89 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | ((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a734) | c0_1(a734) | c3_1(a734))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | c1_1(a734) | c0_1(a734) | c3_1(a734) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))),
% 0.99/0.89 inference(transitivity,[status(thm)],[119, 117])).
% 0.99/0.89 tff(121,plain,
% 0.99/0.89 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | ((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a734) | c0_1(a734) | c3_1(a734))),
% 0.99/0.89 inference(quant_inst,[status(thm)],[])).
% 0.99/0.89 tff(122,plain,
% 0.99/0.89 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | c1_1(a734) | c0_1(a734) | c3_1(a734) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.99/0.89 tff(123,plain,
% 0.99/0.89 (~c0_1(a731)),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[122, 116, 44, 84, 73, 22, 33, 62, 10])).
% 0.99/0.89 tff(124,plain,
% 0.99/0.89 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))))),
% 0.99/0.89 inference(bind,[status(th)],[])).
% 0.99/0.89 tff(125,plain,
% 0.99/0.89 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_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) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 0.99/0.89 inference(quant_intro,[status(thm)],[124])).
% 0.99/0.89 tff(126,plain,
% 0.99/0.89 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_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) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(127,plain,
% 0.99/0.89 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V))))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V))) | (~c3_1(W))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W)))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W))))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W)))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W))))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W)))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W))))), ((((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c3_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c3_1(W)))), ((((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c3_1(W))))), (((((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))), (((((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))))),
% 0.99/0.89 inference(bind,[status(th)],[])).
% 0.99/0.89 tff(128,plain,
% 0.99/0.89 (![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 0.99/0.89 inference(quant_intro,[status(thm)],[127])).
% 0.99/0.89 tff(129,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) | c0_1(W)) | c2_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause172')).
% 0.99/0.89 tff(130,plain,
% 0.99/0.89 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[129, 128])).
% 0.99/0.89 tff(131,plain,
% 0.99/0.89 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[130, 126])).
% 0.99/0.89 tff(132,plain,(
% 0.99/0.89 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 0.99/0.89 inference(skolemize,[status(sab)],[131])).
% 0.99/0.89 tff(133,plain,
% 0.99/0.89 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[132, 125])).
% 0.99/0.89 tff(134,plain,
% 0.99/0.89 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(135,plain,
% 0.99/0.89 (((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a731) | c0_1(a731) | (~c3_1(a731))) <=> (c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(136,plain,
% 0.99/0.89 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a731) | c0_1(a731) | (~c3_1(a731)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731)))),
% 0.99/0.89 inference(monotonicity,[status(thm)],[135])).
% 0.99/0.89 tff(137,plain,
% 0.99/0.89 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a731) | c0_1(a731) | (~c3_1(a731)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731))),
% 0.99/0.89 inference(transitivity,[status(thm)],[136, 134])).
% 0.99/0.89 tff(138,plain,
% 0.99/0.89 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a731) | c0_1(a731) | (~c3_1(a731)))),
% 0.99/0.89 inference(quant_inst,[status(thm)],[])).
% 0.99/0.89 tff(139,plain,
% 0.99/0.89 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[138, 137])).
% 0.99/0.89 tff(140,plain,
% 0.99/0.89 ($false),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[139, 116, 84, 73, 62, 133, 123])).
% 0.99/0.89 tff(141,plain,((~hskp1) | c1_1(a734) | c0_1(a734) | c3_1(a734)), inference(lemma,lemma(discharge,[]))).
% 0.99/0.89 tff(142,plain,
% 0.99/0.89 (~hskp1),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[141, 44, 22, 33])).
% 0.99/0.89 tff(143,plain,
% 0.99/0.89 ((hskp7 | hskp4 | hskp1) <=> (hskp7 | hskp4 | hskp1)),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(144,plain,
% 0.99/0.89 (((hskp7 | hskp1) | hskp4) <=> (hskp7 | hskp4 | hskp1)),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(145,plain,
% 0.99/0.89 ((hskp7 | hskp1) <=> (hskp7 | hskp1)),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(146,plain,
% 0.99/0.89 (((hskp7 | hskp1) | hskp4) <=> ((hskp7 | hskp1) | hskp4)),
% 0.99/0.89 inference(monotonicity,[status(thm)],[145])).
% 0.99/0.89 tff(147,plain,
% 0.99/0.89 (((hskp7 | hskp1) | hskp4) <=> (hskp7 | hskp4 | hskp1)),
% 0.99/0.89 inference(transitivity,[status(thm)],[146, 144])).
% 0.99/0.89 tff(148,axiom,((hskp7 | hskp1) | hskp4), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause35')).
% 0.99/0.89 tff(149,plain,
% 0.99/0.89 (hskp7 | hskp4 | hskp1),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[148, 147])).
% 0.99/0.89 tff(150,plain,
% 0.99/0.89 (hskp7 | hskp4 | hskp1),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[149, 143])).
% 0.99/0.89 tff(151,plain,
% 0.99/0.89 (hskp7 | hskp4 | hskp1),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[150, 143])).
% 0.99/0.89 tff(152,plain,
% 0.99/0.89 (hskp7 | hskp4 | hskp1),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[151, 143])).
% 0.99/0.89 tff(153,plain,
% 0.99/0.89 (hskp7 | hskp4 | hskp1),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[152, 143])).
% 0.99/0.89 tff(154,plain,
% 0.99/0.89 (hskp7 | hskp4 | hskp1),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[153, 143])).
% 0.99/0.89 tff(155,plain,
% 0.99/0.89 (hskp7 | hskp4 | hskp1),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[154, 143])).
% 0.99/0.89 tff(156,plain,
% 0.99/0.89 (hskp7 | hskp4 | hskp1),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[155, 143])).
% 0.99/0.89 tff(157,plain,
% 0.99/0.89 (hskp7),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[156, 142, 55])).
% 0.99/0.89 tff(158,plain,
% 0.99/0.89 (((~hskp7) | c1_1(a741)) <=> ((~hskp7) | c1_1(a741))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(159,axiom,((~hskp7) | c1_1(a741)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause70')).
% 0.99/0.89 tff(160,plain,
% 0.99/0.89 ((~hskp7) | c1_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[159, 158])).
% 0.99/0.89 tff(161,plain,
% 0.99/0.89 ((~hskp7) | c1_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[160, 158])).
% 0.99/0.89 tff(162,plain,
% 0.99/0.89 ((~hskp7) | c1_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[161, 158])).
% 0.99/0.89 tff(163,plain,
% 0.99/0.89 ((~hskp7) | c1_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[162, 158])).
% 0.99/0.89 tff(164,plain,
% 0.99/0.89 ((~hskp7) | c1_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[163, 158])).
% 0.99/0.89 tff(165,plain,
% 0.99/0.89 ((~hskp7) | c1_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[164, 158])).
% 0.99/0.89 tff(166,plain,
% 0.99/0.89 ((~hskp7) | c1_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[165, 158])).
% 0.99/0.89 tff(167,plain,
% 0.99/0.89 ((~hskp7) | c1_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[166, 158])).
% 0.99/0.89 tff(168,plain,
% 0.99/0.89 (c1_1(a741)),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[167, 157])).
% 0.99/0.89 tff(169,plain,
% 0.99/0.89 (((~hskp7) | c3_1(a741)) <=> ((~hskp7) | c3_1(a741))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(170,axiom,((~hskp7) | c3_1(a741)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause71')).
% 0.99/0.89 tff(171,plain,
% 0.99/0.89 ((~hskp7) | c3_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[170, 169])).
% 0.99/0.89 tff(172,plain,
% 0.99/0.89 ((~hskp7) | c3_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[171, 169])).
% 0.99/0.89 tff(173,plain,
% 0.99/0.89 ((~hskp7) | c3_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[172, 169])).
% 0.99/0.89 tff(174,plain,
% 0.99/0.89 ((~hskp7) | c3_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[173, 169])).
% 0.99/0.89 tff(175,plain,
% 0.99/0.89 ((~hskp7) | c3_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[174, 169])).
% 0.99/0.89 tff(176,plain,
% 0.99/0.89 ((~hskp7) | c3_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[175, 169])).
% 0.99/0.89 tff(177,plain,
% 0.99/0.89 ((~hskp7) | c3_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[176, 169])).
% 0.99/0.89 tff(178,plain,
% 0.99/0.89 ((~hskp7) | c3_1(a741)),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[177, 169])).
% 0.99/0.89 tff(179,plain,
% 0.99/0.89 (c3_1(a741)),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[178, 157])).
% 0.99/0.89 tff(180,plain,
% 0.99/0.89 (((~hskp7) | (~c0_1(a741))) <=> ((~hskp7) | (~c0_1(a741)))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(181,plain,
% 0.99/0.89 (((~c0_1(a741)) | (~hskp7)) <=> ((~hskp7) | (~c0_1(a741)))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(182,axiom,((~c0_1(a741)) | (~hskp7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause110')).
% 0.99/0.89 tff(183,plain,
% 0.99/0.89 ((~hskp7) | (~c0_1(a741))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[182, 181])).
% 0.99/0.89 tff(184,plain,
% 0.99/0.89 ((~hskp7) | (~c0_1(a741))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[183, 180])).
% 0.99/0.89 tff(185,plain,
% 0.99/0.89 (~c0_1(a741)),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[184, 157])).
% 0.99/0.89 tff(186,assumption,(~c2_1(a741)), introduced(assumption)).
% 0.99/0.89 tff(187,assumption,(~hskp4), introduced(assumption)).
% 0.99/0.89 tff(188,plain,
% 0.99/0.89 (^[U: $i] : refl((hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) <=> (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))))),
% 0.99/0.89 inference(bind,[status(th)],[])).
% 0.99/0.89 tff(189,plain,
% 0.99/0.89 (![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 0.99/0.89 inference(quant_intro,[status(thm)],[188])).
% 0.99/0.89 tff(190,plain,
% 0.99/0.89 (![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(191,plain,
% 0.99/0.89 (^[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)) | c2_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))), (((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))))), ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp6) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp6))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp6) <=> (hskp6 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))), ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp6) <=> (hskp6 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp6) | hskp4) <=> ((hskp6 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp4))), rewrite(((hskp6 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp4) <=> (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp6) | hskp4) <=> (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))))),
% 0.99/0.89 inference(bind,[status(th)],[])).
% 0.99/0.89 tff(192,plain,
% 0.99/0.89 (![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp6) | hskp4) <=> ![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 0.99/0.89 inference(quant_intro,[status(thm)],[191])).
% 0.99/0.89 tff(193,axiom,(![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp6) | hskp4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause132')).
% 0.99/0.89 tff(194,plain,
% 0.99/0.89 (![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[193, 192])).
% 0.99/0.89 tff(195,plain,
% 0.99/0.89 (![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[194, 190])).
% 0.99/0.89 tff(196,plain,(
% 0.99/0.89 ![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 0.99/0.89 inference(skolemize,[status(sab)],[195])).
% 0.99/0.89 tff(197,plain,
% 0.99/0.89 (![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[196, 189])).
% 0.99/0.89 tff(198,assumption,(~c0_1(a741)), introduced(assumption)).
% 0.99/0.89 tff(199,assumption,(c3_1(a741)), introduced(assumption)).
% 0.99/0.89 tff(200,plain,
% 0.99/0.89 (((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp6 | hskp4 | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c3_1(a741)))) <=> ((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp6 | hskp4 | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c3_1(a741)))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(201,plain,
% 0.99/0.89 ((hskp6 | hskp4 | (~ndr1_0) | c2_1(a741) | c0_1(a741) | (~c3_1(a741))) <=> (hskp6 | hskp4 | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c3_1(a741)))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(202,plain,
% 0.99/0.89 (((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp6 | hskp4 | (~ndr1_0) | c2_1(a741) | c0_1(a741) | (~c3_1(a741)))) <=> ((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp6 | hskp4 | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c3_1(a741))))),
% 0.99/0.89 inference(monotonicity,[status(thm)],[201])).
% 0.99/0.89 tff(203,plain,
% 0.99/0.89 (((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp6 | hskp4 | (~ndr1_0) | c2_1(a741) | c0_1(a741) | (~c3_1(a741)))) <=> ((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp6 | hskp4 | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c3_1(a741)))),
% 0.99/0.89 inference(transitivity,[status(thm)],[202, 200])).
% 0.99/0.89 tff(204,plain,
% 0.99/0.89 ((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp6 | hskp4 | (~ndr1_0) | c2_1(a741) | c0_1(a741) | (~c3_1(a741)))),
% 0.99/0.89 inference(quant_inst,[status(thm)],[])).
% 0.99/0.89 tff(205,plain,
% 0.99/0.89 ((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp6 | hskp4 | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c3_1(a741))),
% 0.99/0.89 inference(modus_ponens,[status(thm)],[204, 203])).
% 0.99/0.89 tff(206,plain,
% 0.99/0.89 (hskp6 | hskp4 | c2_1(a741)),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[205, 116, 199, 198, 197])).
% 0.99/0.89 tff(207,plain,
% 0.99/0.89 (hskp6),
% 0.99/0.89 inference(unit_resolution,[status(thm)],[206, 186, 187])).
% 0.99/0.89 tff(208,plain,
% 0.99/0.89 (((~hskp6) | (~c2_1(a738))) <=> ((~hskp6) | (~c2_1(a738)))),
% 0.99/0.89 inference(rewrite,[status(thm)],[])).
% 0.99/0.89 tff(209,plain,
% 0.99/0.89 (((~c2_1(a738)) | (~hskp6)) <=> ((~hskp6) | (~c2_1(a738)))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(210,axiom,((~c2_1(a738)) | (~hskp6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause112')).
% 0.99/0.90 tff(211,plain,
% 0.99/0.90 ((~hskp6) | (~c2_1(a738))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[210, 209])).
% 0.99/0.90 tff(212,plain,
% 0.99/0.90 ((~hskp6) | (~c2_1(a738))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[211, 208])).
% 0.99/0.90 tff(213,plain,
% 0.99/0.90 (~c2_1(a738)),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[212, 207])).
% 0.99/0.90 tff(214,plain,
% 0.99/0.90 (((~hskp6) | (~c0_1(a738))) <=> ((~hskp6) | (~c0_1(a738)))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(215,plain,
% 0.99/0.90 (((~c0_1(a738)) | (~hskp6)) <=> ((~hskp6) | (~c0_1(a738)))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(216,axiom,((~c0_1(a738)) | (~hskp6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause111')).
% 0.99/0.90 tff(217,plain,
% 0.99/0.90 ((~hskp6) | (~c0_1(a738))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[216, 215])).
% 0.99/0.90 tff(218,plain,
% 0.99/0.90 ((~hskp6) | (~c0_1(a738))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[217, 214])).
% 0.99/0.90 tff(219,plain,
% 0.99/0.90 (~c0_1(a738)),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[218, 207])).
% 0.99/0.90 tff(220,plain,
% 0.99/0.90 (((~hskp6) | c1_1(a738)) <=> ((~hskp6) | c1_1(a738))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(221,axiom,((~hskp6) | c1_1(a738)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause72')).
% 0.99/0.90 tff(222,plain,
% 0.99/0.90 ((~hskp6) | c1_1(a738)),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[221, 220])).
% 0.99/0.90 tff(223,plain,
% 0.99/0.90 ((~hskp6) | c1_1(a738)),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[222, 220])).
% 0.99/0.90 tff(224,plain,
% 0.99/0.90 ((~hskp6) | c1_1(a738)),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[223, 220])).
% 0.99/0.90 tff(225,plain,
% 0.99/0.90 ((~hskp6) | c1_1(a738)),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[224, 220])).
% 0.99/0.90 tff(226,plain,
% 0.99/0.90 ((~hskp6) | c1_1(a738)),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[225, 220])).
% 0.99/0.90 tff(227,plain,
% 0.99/0.90 ((~hskp6) | c1_1(a738)),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[226, 220])).
% 0.99/0.90 tff(228,plain,
% 0.99/0.90 ((~hskp6) | c1_1(a738)),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[227, 220])).
% 0.99/0.90 tff(229,plain,
% 0.99/0.90 ((~hskp6) | c1_1(a738)),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[228, 220])).
% 0.99/0.90 tff(230,plain,
% 0.99/0.90 (c1_1(a738)),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[229, 207])).
% 0.99/0.90 tff(231,assumption,(c1_1(a741)), introduced(assumption)).
% 0.99/0.90 tff(232,plain,
% 0.99/0.90 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a741)) | (~c1_1(a738)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a741)) | (~c1_1(a738)))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(233,plain,
% 0.99/0.90 ((hskp11 | (~ndr1_0) | c2_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a738) | c2_1(a738) | (~c1_1(a738))) <=> (hskp11 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a741)) | (~c1_1(a738)))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(234,plain,
% 0.99/0.90 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a738) | c2_1(a738) | (~c1_1(a738)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a741)) | (~c1_1(a738))))),
% 0.99/0.90 inference(monotonicity,[status(thm)],[233])).
% 0.99/0.90 tff(235,plain,
% 0.99/0.90 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a738) | c2_1(a738) | (~c1_1(a738)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a741)) | (~c1_1(a738)))),
% 0.99/0.90 inference(transitivity,[status(thm)],[234, 232])).
% 0.99/0.90 tff(236,plain,
% 0.99/0.90 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a738) | c2_1(a738) | (~c1_1(a738)))),
% 0.99/0.90 inference(quant_inst,[status(thm)],[])).
% 0.99/0.90 tff(237,plain,
% 0.99/0.90 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a741)) | (~c1_1(a738))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[236, 235])).
% 0.99/0.90 tff(238,plain,
% 0.99/0.90 ($false),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[237, 116, 21, 231, 199, 230, 219, 213, 43, 186])).
% 0.99/0.90 tff(239,plain,(c2_1(a741) | hskp11 | (~c1_1(a741)) | (~c3_1(a741)) | hskp4 | c0_1(a741)), inference(lemma,lemma(discharge,[]))).
% 0.99/0.90 tff(240,plain,
% 0.99/0.90 (c2_1(a741)),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[239, 185, 168, 179, 55, 21])).
% 0.99/0.90 tff(241,assumption,(~hskp0), introduced(assumption)).
% 0.99/0.90 tff(242,plain,
% 0.99/0.90 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(243,plain,
% 0.99/0.90 (((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c2_1(a731) | c0_1(a731) | (~c3_1(a731))) <=> (c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(244,plain,
% 0.99/0.90 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c2_1(a731) | c0_1(a731) | (~c3_1(a731)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731)))),
% 0.99/0.90 inference(monotonicity,[status(thm)],[243])).
% 0.99/0.90 tff(245,plain,
% 0.99/0.90 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c2_1(a731) | c0_1(a731) | (~c3_1(a731)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731))),
% 0.99/0.90 inference(transitivity,[status(thm)],[244, 242])).
% 0.99/0.90 tff(246,plain,
% 0.99/0.90 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c2_1(a731) | c0_1(a731) | (~c3_1(a731)))),
% 0.99/0.90 inference(quant_inst,[status(thm)],[])).
% 0.99/0.90 tff(247,plain,
% 0.99/0.90 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a731)),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[246, 245])).
% 0.99/0.90 tff(248,plain,
% 0.99/0.90 ($false),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[247, 116, 231, 199, 84, 73, 198, 62, 133, 123])).
% 0.99/0.90 tff(249,plain,((~hskp1) | (~c1_1(a741)) | (~c3_1(a741)) | c0_1(a741) | c1_1(a734) | c0_1(a734) | c3_1(a734)), inference(lemma,lemma(discharge,[]))).
% 0.99/0.90 tff(250,plain,
% 0.99/0.90 (~hskp1),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[249, 44, 199, 198, 231, 22, 33])).
% 0.99/0.90 tff(251,plain,
% 0.99/0.90 (^[U: $i] : refl((hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U)) <=> (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U)))),
% 0.99/0.90 inference(bind,[status(th)],[])).
% 0.99/0.90 tff(252,plain,
% 0.99/0.90 (![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U)) <=> ![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))),
% 0.99/0.90 inference(quant_intro,[status(thm)],[251])).
% 0.99/0.90 tff(253,plain,
% 0.99/0.90 (![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U)) <=> ![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(254,plain,
% 0.99/0.90 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ndr1_0) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U))), ((((~ndr1_0) | c0_1(U)) | c1_1(U)) <=> (((~ndr1_0) | c0_1(U)) | c1_1(U)))), rewrite((((~ndr1_0) | c0_1(U)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U))), ((((~ndr1_0) | c0_1(U)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U)))), (((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c1_1(U) | c0_1(U)) | c2_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))), (((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U)))), ((((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c2_1(U)) | hskp0) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U)) | hskp0))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U)) | hskp0) <=> (hskp0 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))), ((((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c2_1(U)) | hskp0) <=> (hskp0 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U)))), (((((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c2_1(U)) | hskp0) | hskp1) <=> ((hskp0 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U)) | hskp1))), rewrite(((hskp0 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U)) | hskp1) <=> (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))), (((((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c2_1(U)) | hskp0) | hskp1) <=> (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))))),
% 0.99/0.90 inference(bind,[status(th)],[])).
% 0.99/0.90 tff(255,plain,
% 0.99/0.90 (![U: $i] : ((((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c2_1(U)) | hskp0) | hskp1) <=> ![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))),
% 0.99/0.90 inference(quant_intro,[status(thm)],[254])).
% 0.99/0.90 tff(256,axiom,(![U: $i] : ((((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c2_1(U)) | hskp0) | hskp1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause123')).
% 0.99/0.90 tff(257,plain,
% 0.99/0.90 (![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[256, 255])).
% 0.99/0.90 tff(258,plain,
% 0.99/0.90 (![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[257, 253])).
% 0.99/0.90 tff(259,plain,(
% 0.99/0.90 ![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))),
% 0.99/0.90 inference(skolemize,[status(sab)],[258])).
% 0.99/0.90 tff(260,plain,
% 0.99/0.90 (![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[259, 252])).
% 0.99/0.90 tff(261,plain,
% 0.99/0.90 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | c1_1(a734) | c0_1(a734) | (~ndr1_0) | c2_1(a734))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c1_1(a734) | c0_1(a734) | (~ndr1_0) | c2_1(a734))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(262,plain,
% 0.99/0.90 ((hskp0 | hskp1 | (~ndr1_0) | c2_1(a734) | c1_1(a734) | c0_1(a734)) <=> (hskp0 | hskp1 | c1_1(a734) | c0_1(a734) | (~ndr1_0) | c2_1(a734))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(263,plain,
% 0.99/0.90 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | c1_1(a734) | c0_1(a734) | (~ndr1_0) | c2_1(a734)))),
% 0.99/0.90 inference(monotonicity,[status(thm)],[262])).
% 0.99/0.90 tff(264,plain,
% 0.99/0.90 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a734) | c1_1(a734) | c0_1(a734))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c1_1(a734) | c0_1(a734) | (~ndr1_0) | c2_1(a734))),
% 0.99/0.90 inference(transitivity,[status(thm)],[263, 261])).
% 0.99/0.90 tff(265,plain,
% 0.99/0.90 ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a734) | c1_1(a734) | c0_1(a734))),
% 0.99/0.90 inference(quant_inst,[status(thm)],[])).
% 0.99/0.90 tff(266,plain,
% 0.99/0.90 ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c1_1(a734) | c0_1(a734) | (~ndr1_0) | c2_1(a734)),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[265, 264])).
% 0.99/0.90 tff(267,plain,
% 0.99/0.90 (hskp0 | hskp1 | c1_1(a734) | c2_1(a734)),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[266, 116, 22, 260])).
% 0.99/0.90 tff(268,plain,
% 0.99/0.90 (c2_1(a734)),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[267, 250, 241, 44])).
% 0.99/0.90 tff(269,plain,
% 0.99/0.90 (^[V: $i, U: $i] : refl((hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) <=> (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))))),
% 0.99/0.90 inference(bind,[status(th)],[])).
% 0.99/0.90 tff(270,plain,
% 0.99/0.90 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.99/0.90 inference(quant_intro,[status(thm)],[269])).
% 0.99/0.90 tff(271,plain,
% 0.99/0.90 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(272,plain,
% 0.99/0.90 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c1_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c1_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(V)))), ((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(V))))), (((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(V))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U)) | (~c2_1(V)))), (((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U)) | (~c2_1(V))))), ((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c1_1(U)) | (~c2_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c1_1(U)) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | (~c2_1(V)))), ((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | (~c2_1(V))))), (((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)))), (((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c0_1(V) | (~c2_1(V))))), ((((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c2_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c0_1(V) | (~c2_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c0_1(V) | (~c2_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))), ((((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c2_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))))), (((((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | hskp0) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) | hskp0))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V))) | hskp0) <=> (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))), (((((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | hskp0) <=> (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))))),
% 0.99/0.90 inference(bind,[status(th)],[])).
% 0.99/0.90 tff(273,plain,
% 0.99/0.90 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | hskp0) <=> ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.99/0.90 inference(quant_intro,[status(thm)],[272])).
% 0.99/0.90 tff(274,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | hskp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause150')).
% 0.99/0.90 tff(275,plain,
% 0.99/0.90 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[274, 273])).
% 0.99/0.90 tff(276,plain,
% 0.99/0.90 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[275, 271])).
% 0.99/0.90 tff(277,plain,(
% 0.99/0.90 ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.99/0.90 inference(skolemize,[status(sab)],[276])).
% 0.99/0.90 tff(278,plain,
% 0.99/0.90 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[277, 270])).
% 0.99/0.90 tff(279,assumption,(~hskp1), introduced(assumption)).
% 0.99/0.90 tff(280,assumption,(~hskp2), introduced(assumption)).
% 0.99/0.90 tff(281,plain,
% 0.99/0.90 (^[U: $i] : refl((hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))) <=> (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))))),
% 0.99/0.90 inference(bind,[status(th)],[])).
% 0.99/0.90 tff(282,plain,
% 0.99/0.90 (![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))) <=> ![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))),
% 0.99/0.90 inference(quant_intro,[status(thm)],[281])).
% 0.99/0.90 tff(283,plain,
% 0.99/0.90 (![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))) <=> ![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(284,plain,
% 0.99/0.90 (^[U: $i] : trans(monotonicity(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)) | c1_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))), (((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))))), ((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp1) <=> (((~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))) | hskp1))), rewrite((((~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))) | hskp1) <=> (hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))), ((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp1) <=> (hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))))), (((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp1) | hskp2) <=> ((hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))) | hskp2))), rewrite(((hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))) | hskp2) <=> (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))), (((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp1) | hskp2) <=> (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))))),
% 0.99/0.90 inference(bind,[status(th)],[])).
% 0.99/0.90 tff(285,plain,
% 0.99/0.90 (![U: $i] : ((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp1) | hskp2) <=> ![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))),
% 0.99/0.90 inference(quant_intro,[status(thm)],[284])).
% 0.99/0.90 tff(286,axiom,(![U: $i] : ((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp1) | hskp2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause128')).
% 0.99/0.90 tff(287,plain,
% 0.99/0.90 (![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[286, 285])).
% 0.99/0.90 tff(288,plain,
% 0.99/0.90 (![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[287, 283])).
% 0.99/0.90 tff(289,plain,(
% 0.99/0.90 ![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))),
% 0.99/0.90 inference(skolemize,[status(sab)],[288])).
% 0.99/0.90 tff(290,plain,
% 0.99/0.90 (![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[289, 282])).
% 0.99/0.90 tff(291,plain,
% 0.99/0.90 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | c1_1(a734) | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp2 | hskp1 | c1_1(a734) | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(292,plain,
% 0.99/0.90 ((hskp2 | hskp1 | (~ndr1_0) | c1_1(a734) | c0_1(a734) | (~c2_1(a734))) <=> (hskp2 | hskp1 | c1_1(a734) | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(293,plain,
% 0.99/0.90 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | c1_1(a734) | c0_1(a734) | (~ndr1_0) | (~c2_1(a734))))),
% 0.99/0.90 inference(monotonicity,[status(thm)],[292])).
% 0.99/0.90 tff(294,plain,
% 0.99/0.90 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp2 | hskp1 | c1_1(a734) | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)))),
% 0.99/0.90 inference(transitivity,[status(thm)],[293, 291])).
% 0.99/0.90 tff(295,plain,
% 0.99/0.90 ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))),
% 0.99/0.90 inference(quant_inst,[status(thm)],[])).
% 0.99/0.90 tff(296,plain,
% 0.99/0.90 ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp2 | hskp1 | c1_1(a734) | c0_1(a734) | (~ndr1_0) | (~c2_1(a734))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[295, 294])).
% 0.99/0.90 tff(297,plain,
% 0.99/0.90 (hskp2 | hskp1 | c1_1(a734) | (~c2_1(a734))),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[296, 116, 22, 290])).
% 0.99/0.90 tff(298,plain,
% 0.99/0.90 (~c2_1(a734)),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[297, 279, 44, 280])).
% 0.99/0.90 tff(299,plain,
% 0.99/0.90 ($false),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[267, 298, 279, 241, 44])).
% 0.99/0.90 tff(300,plain,(hskp1 | hskp0 | c1_1(a734) | c0_1(a734) | hskp2), inference(lemma,lemma(discharge,[]))).
% 0.99/0.90 tff(301,plain,
% 0.99/0.90 (hskp2),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[300, 250, 44, 22, 241])).
% 0.99/0.90 tff(302,plain,
% 0.99/0.90 (((~hskp2) | (~c2_1(a732))) <=> ((~hskp2) | (~c2_1(a732)))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(303,plain,
% 0.99/0.90 (((~c2_1(a732)) | (~hskp2)) <=> ((~hskp2) | (~c2_1(a732)))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(304,axiom,((~c2_1(a732)) | (~hskp2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause119')).
% 0.99/0.90 tff(305,plain,
% 0.99/0.90 ((~hskp2) | (~c2_1(a732))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[304, 303])).
% 0.99/0.90 tff(306,plain,
% 0.99/0.90 ((~hskp2) | (~c2_1(a732))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[305, 302])).
% 0.99/0.90 tff(307,plain,
% 0.99/0.90 (~c2_1(a732)),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[306, 301])).
% 0.99/0.90 tff(308,plain,
% 0.99/0.90 (((~hskp2) | (~c0_1(a732))) <=> ((~hskp2) | (~c0_1(a732)))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(309,plain,
% 0.99/0.90 (((~c0_1(a732)) | (~hskp2)) <=> ((~hskp2) | (~c0_1(a732)))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(310,axiom,((~c0_1(a732)) | (~hskp2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause118')).
% 0.99/0.90 tff(311,plain,
% 0.99/0.90 ((~hskp2) | (~c0_1(a732))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[310, 309])).
% 0.99/0.90 tff(312,plain,
% 0.99/0.90 ((~hskp2) | (~c0_1(a732))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[311, 308])).
% 0.99/0.90 tff(313,plain,
% 0.99/0.90 (~c0_1(a732)),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[312, 301])).
% 0.99/0.90 tff(314,plain,
% 0.99/0.90 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | c1_1(a734) | c0_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp0 | c1_1(a734) | c0_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c2_1(a734)))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(315,plain,
% 0.99/0.90 ((hskp0 | (~ndr1_0) | c2_1(a732) | c0_1(a732) | (~c1_1(a732)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734))) <=> (hskp0 | c1_1(a734) | c0_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c2_1(a734)))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(316,plain,
% 0.99/0.90 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a732) | c0_1(a732) | (~c1_1(a732)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | c1_1(a734) | c0_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c2_1(a734))))),
% 0.99/0.90 inference(monotonicity,[status(thm)],[315])).
% 0.99/0.90 tff(317,plain,
% 0.99/0.90 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a732) | c0_1(a732) | (~c1_1(a732)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp0 | c1_1(a734) | c0_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c2_1(a734)))),
% 0.99/0.90 inference(transitivity,[status(thm)],[316, 314])).
% 0.99/0.90 tff(318,plain,
% 0.99/0.90 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a732) | c0_1(a732) | (~c1_1(a732)) | c1_1(a734) | c0_1(a734) | (~c2_1(a734)))),
% 0.99/0.90 inference(quant_inst,[status(thm)],[])).
% 0.99/0.90 tff(319,plain,
% 0.99/0.90 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp0 | c1_1(a734) | c0_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c2_1(a734))),
% 0.99/0.90 inference(modus_ponens,[status(thm)],[318, 317])).
% 0.99/0.90 tff(320,plain,
% 0.99/0.90 (~c1_1(a732)),
% 0.99/0.90 inference(unit_resolution,[status(thm)],[319, 241, 116, 44, 22, 313, 307, 278, 268])).
% 0.99/0.90 tff(321,plain,
% 0.99/0.90 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | c0_1(a732) | c2_1(a732) | (~ndr1_0) | c1_1(a732))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c0_1(a732) | c2_1(a732) | (~ndr1_0) | c1_1(a732))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(322,plain,
% 0.99/0.90 ((hskp0 | hskp1 | (~ndr1_0) | c2_1(a732) | c1_1(a732) | c0_1(a732)) <=> (hskp0 | hskp1 | c0_1(a732) | c2_1(a732) | (~ndr1_0) | c1_1(a732))),
% 0.99/0.90 inference(rewrite,[status(thm)],[])).
% 0.99/0.90 tff(323,plain,
% 0.99/0.90 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a732) | c1_1(a732) | c0_1(a732))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | c0_1(a732) | c2_1(a732) | (~ndr1_0) | c1_1(a732)))),
% 0.99/0.90 inference(monotonicity,[status(thm)],[322])).
% 0.99/0.90 tff(324,plain,
% 0.99/0.90 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a732) | c1_1(a732) | c0_1(a732))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c0_1(a732) | c2_1(a732) | (~ndr1_0) | c1_1(a732))),
% 0.99/0.91 inference(transitivity,[status(thm)],[323, 321])).
% 0.99/0.91 tff(325,plain,
% 0.99/0.91 ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a732) | c1_1(a732) | c0_1(a732))),
% 0.99/0.91 inference(quant_inst,[status(thm)],[])).
% 0.99/0.91 tff(326,plain,
% 0.99/0.91 ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c0_1(a732) | c2_1(a732) | (~ndr1_0) | c1_1(a732)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[325, 324])).
% 0.99/0.91 tff(327,plain,
% 0.99/0.91 ($false),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[326, 241, 116, 250, 313, 307, 260, 320])).
% 0.99/0.91 tff(328,plain,(c1_1(a734) | hskp0 | c0_1(a734) | (~c3_1(a741)) | c0_1(a741) | (~c1_1(a741)) | c3_1(a734)), inference(lemma,lemma(discharge,[]))).
% 0.99/0.91 tff(329,plain,
% 0.99/0.91 (c1_1(a734)),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[328, 241, 22, 199, 198, 231, 33])).
% 0.99/0.91 tff(330,plain,
% 0.99/0.91 (^[U: $i] : refl((hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))) <=> (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))))),
% 0.99/0.91 inference(bind,[status(th)],[])).
% 0.99/0.91 tff(331,plain,
% 0.99/0.91 (![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))),
% 0.99/0.91 inference(quant_intro,[status(thm)],[330])).
% 0.99/0.91 tff(332,plain,
% 0.99/0.91 (![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(333,plain,
% 0.99/0.91 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c1_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c1_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U))))), (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c1_1(U))) | c3_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c1_1(U))) | c3_1(U)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))), (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp0) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))) | hskp0))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))) | hskp0) <=> (hskp0 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp0) <=> (hskp0 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))))), (((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp0) | hskp9) <=> ((hskp0 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))) | hskp9))), rewrite(((hskp0 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U))) | hskp9) <=> (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))), (((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp0) | hskp9) <=> (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))))),
% 0.99/0.91 inference(bind,[status(th)],[])).
% 0.99/0.91 tff(334,plain,
% 0.99/0.91 (![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp0) | hskp9) <=> ![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))),
% 0.99/0.91 inference(quant_intro,[status(thm)],[333])).
% 0.99/0.91 tff(335,axiom,(![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | hskp0) | hskp9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause133')).
% 0.99/0.91 tff(336,plain,
% 0.99/0.91 (![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[335, 334])).
% 0.99/0.91 tff(337,plain,
% 0.99/0.91 (![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[336, 332])).
% 0.99/0.91 tff(338,plain,(
% 0.99/0.91 ![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))),
% 0.99/0.91 inference(skolemize,[status(sab)],[337])).
% 0.99/0.91 tff(339,plain,
% 0.99/0.91 (![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[338, 331])).
% 0.99/0.91 tff(340,plain,
% 0.99/0.91 (((~![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp0 | hskp9 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734)))) <=> ((~![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | hskp0 | hskp9 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734)))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(341,plain,
% 0.99/0.91 ((hskp0 | hskp9 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734))) <=> (hskp0 | hskp9 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734)))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(342,plain,
% 0.99/0.91 (((~![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp0 | hskp9 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734)))) <=> ((~![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp0 | hskp9 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734))))),
% 0.99/0.91 inference(monotonicity,[status(thm)],[341])).
% 0.99/0.91 tff(343,plain,
% 0.99/0.91 (((~![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp0 | hskp9 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734)))) <=> ((~![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | hskp0 | hskp9 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734)))),
% 0.99/0.91 inference(transitivity,[status(thm)],[342, 340])).
% 0.99/0.91 tff(344,plain,
% 0.99/0.91 ((~![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | (hskp0 | hskp9 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734)))),
% 0.99/0.91 inference(quant_inst,[status(thm)],[])).
% 0.99/0.91 tff(345,plain,
% 0.99/0.91 ((~![U: $i] : (hskp0 | hskp9 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)))) | hskp0 | hskp9 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[344, 343])).
% 0.99/0.91 tff(346,plain,
% 0.99/0.91 (hskp0 | hskp9 | c0_1(a734) | (~c1_1(a734))),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[345, 116, 33, 339])).
% 0.99/0.91 tff(347,plain,
% 0.99/0.91 (hskp9),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[346, 329, 241, 22])).
% 0.99/0.91 tff(348,plain,
% 0.99/0.91 (((~hskp9) | (~c2_1(a746))) <=> ((~hskp9) | (~c2_1(a746)))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(349,plain,
% 0.99/0.91 (((~c2_1(a746)) | (~hskp9)) <=> ((~hskp9) | (~c2_1(a746)))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(350,axiom,((~c2_1(a746)) | (~hskp9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause107')).
% 0.99/0.91 tff(351,plain,
% 0.99/0.91 ((~hskp9) | (~c2_1(a746))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[350, 349])).
% 0.99/0.91 tff(352,plain,
% 0.99/0.91 ((~hskp9) | (~c2_1(a746))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[351, 348])).
% 0.99/0.91 tff(353,plain,
% 0.99/0.91 (~c2_1(a746)),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[352, 347])).
% 0.99/0.91 tff(354,plain,
% 0.99/0.91 (((~hskp9) | (~c0_1(a746))) <=> ((~hskp9) | (~c0_1(a746)))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(355,plain,
% 0.99/0.91 (((~c0_1(a746)) | (~hskp9)) <=> ((~hskp9) | (~c0_1(a746)))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(356,axiom,((~c0_1(a746)) | (~hskp9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause106')).
% 0.99/0.91 tff(357,plain,
% 0.99/0.91 ((~hskp9) | (~c0_1(a746))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[356, 355])).
% 0.99/0.91 tff(358,plain,
% 0.99/0.91 ((~hskp9) | (~c0_1(a746))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[357, 354])).
% 0.99/0.91 tff(359,plain,
% 0.99/0.91 (~c0_1(a746)),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[358, 347])).
% 0.99/0.91 tff(360,plain,
% 0.99/0.91 (((~hskp9) | c3_1(a746)) <=> ((~hskp9) | c3_1(a746))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(361,axiom,((~hskp9) | c3_1(a746)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause68')).
% 0.99/0.91 tff(362,plain,
% 0.99/0.91 ((~hskp9) | c3_1(a746)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[361, 360])).
% 0.99/0.91 tff(363,plain,
% 0.99/0.91 ((~hskp9) | c3_1(a746)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[362, 360])).
% 0.99/0.91 tff(364,plain,
% 0.99/0.91 ((~hskp9) | c3_1(a746)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[363, 360])).
% 0.99/0.91 tff(365,plain,
% 0.99/0.91 ((~hskp9) | c3_1(a746)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[364, 360])).
% 0.99/0.91 tff(366,plain,
% 0.99/0.91 ((~hskp9) | c3_1(a746)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[365, 360])).
% 0.99/0.91 tff(367,plain,
% 0.99/0.91 ((~hskp9) | c3_1(a746)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[366, 360])).
% 0.99/0.91 tff(368,plain,
% 0.99/0.91 ((~hskp9) | c3_1(a746)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[367, 360])).
% 0.99/0.91 tff(369,plain,
% 0.99/0.91 ((~hskp9) | c3_1(a746)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[368, 360])).
% 0.99/0.91 tff(370,plain,
% 0.99/0.91 (c3_1(a746)),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[369, 347])).
% 0.99/0.91 tff(371,plain,
% 0.99/0.91 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746)) | (~c1_1(a746)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746)) | (~c1_1(a746)))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(372,plain,
% 0.99/0.91 (((~ndr1_0) | c2_1(a746) | (~c3_1(a746)) | (~c1_1(a746)) | c0_1(a746) | (~c3_1(a746)) | (~c1_1(a746)) | c2_1(a746) | c0_1(a746) | (~c3_1(a746))) <=> (c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746)) | (~c1_1(a746)))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(373,plain,
% 0.99/0.91 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a746) | (~c3_1(a746)) | (~c1_1(a746)) | c0_1(a746) | (~c3_1(a746)) | (~c1_1(a746)) | c2_1(a746) | c0_1(a746) | (~c3_1(a746)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746)) | (~c1_1(a746))))),
% 0.99/0.91 inference(monotonicity,[status(thm)],[372])).
% 0.99/0.91 tff(374,plain,
% 0.99/0.91 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a746) | (~c3_1(a746)) | (~c1_1(a746)) | c0_1(a746) | (~c3_1(a746)) | (~c1_1(a746)) | c2_1(a746) | c0_1(a746) | (~c3_1(a746)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746)) | (~c1_1(a746)))),
% 0.99/0.91 inference(transitivity,[status(thm)],[373, 371])).
% 0.99/0.91 tff(375,plain,
% 0.99/0.91 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a746) | (~c3_1(a746)) | (~c1_1(a746)) | c0_1(a746) | (~c3_1(a746)) | (~c1_1(a746)) | c2_1(a746) | c0_1(a746) | (~c3_1(a746)))),
% 0.99/0.91 inference(quant_inst,[status(thm)],[])).
% 0.99/0.91 tff(376,plain,
% 0.99/0.91 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746)) | (~c1_1(a746))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[375, 374])).
% 0.99/0.91 tff(377,plain,
% 0.99/0.91 (~c1_1(a746)),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[376, 116, 370, 359, 353, 133])).
% 0.99/0.91 tff(378,plain,
% 0.99/0.91 (^[V: $i, U: $i] : refl((hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) <=> (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))))),
% 0.99/0.91 inference(bind,[status(th)],[])).
% 0.99/0.91 tff(379,plain,
% 0.99/0.91 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.99/0.91 inference(quant_intro,[status(thm)],[378])).
% 0.99/0.91 tff(380,plain,
% 0.99/0.91 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(381,plain,
% 0.99/0.91 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V))))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V)))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V))))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c3_1(V)))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c3_1(V))))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c3_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c3_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c1_1(V)) | c2_1(V)) | hskp11) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) | hskp11))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) | hskp11) <=> (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c1_1(V)) | c2_1(V)) | hskp11) <=> (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))))),
% 0.99/0.91 inference(bind,[status(th)],[])).
% 0.99/0.91 tff(382,plain,
% 0.99/0.91 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c1_1(V)) | c2_1(V)) | hskp11) <=> ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.99/0.91 inference(quant_intro,[status(thm)],[381])).
% 0.99/0.91 tff(383,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c2_1(U)) | c1_1(V)) | c2_1(V)) | hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause160')).
% 0.99/0.91 tff(384,plain,
% 0.99/0.91 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[383, 382])).
% 0.99/0.91 tff(385,plain,
% 0.99/0.91 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[384, 380])).
% 0.99/0.91 tff(386,plain,(
% 0.99/0.91 ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.99/0.91 inference(skolemize,[status(sab)],[385])).
% 0.99/0.91 tff(387,plain,
% 0.99/0.91 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[386, 379])).
% 0.99/0.91 tff(388,plain,
% 0.99/0.91 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | c1_1(a746))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | c1_1(a746))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(389,plain,
% 0.99/0.91 ((hskp0 | hskp1 | (~ndr1_0) | c2_1(a746) | c1_1(a746) | c0_1(a746)) <=> (hskp0 | hskp1 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | c1_1(a746))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(390,plain,
% 0.99/0.91 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a746) | c1_1(a746) | c0_1(a746))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | c1_1(a746)))),
% 0.99/0.91 inference(monotonicity,[status(thm)],[389])).
% 0.99/0.91 tff(391,plain,
% 0.99/0.91 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a746) | c1_1(a746) | c0_1(a746))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | c1_1(a746))),
% 0.99/0.91 inference(transitivity,[status(thm)],[390, 388])).
% 0.99/0.91 tff(392,plain,
% 0.99/0.91 ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a746) | c1_1(a746) | c0_1(a746))),
% 0.99/0.91 inference(quant_inst,[status(thm)],[])).
% 0.99/0.91 tff(393,plain,
% 0.99/0.91 ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | c1_1(a746)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[392, 391])).
% 0.99/0.91 tff(394,plain,
% 0.99/0.91 (hskp1),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[393, 241, 116, 359, 353, 260, 377])).
% 0.99/0.91 tff(395,plain,
% 0.99/0.91 (~c2_1(a731)),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[61, 394])).
% 0.99/0.91 tff(396,plain,
% 0.99/0.91 (c3_1(a731)),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[72, 394])).
% 0.99/0.91 tff(397,plain,
% 0.99/0.91 (c1_1(a731)),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[83, 394])).
% 0.99/0.91 tff(398,plain,
% 0.99/0.91 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c2_1(a746) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c3_1(a746)) | c1_1(a746))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c2_1(a746) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c3_1(a746)) | c1_1(a746))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(399,plain,
% 0.99/0.91 ((hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c1_1(a746) | c2_1(a746) | (~c3_1(a746))) <=> (hskp11 | c2_1(a746) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c3_1(a746)) | c1_1(a746))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(400,plain,
% 0.99/0.91 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c1_1(a746) | c2_1(a746) | (~c3_1(a746)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c2_1(a746) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c3_1(a746)) | c1_1(a746)))),
% 0.99/0.91 inference(monotonicity,[status(thm)],[399])).
% 0.99/0.91 tff(401,plain,
% 0.99/0.91 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c1_1(a746) | c2_1(a746) | (~c3_1(a746)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c2_1(a746) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c3_1(a746)) | c1_1(a746))),
% 0.99/0.91 inference(transitivity,[status(thm)],[400, 398])).
% 0.99/0.91 tff(402,plain,
% 0.99/0.91 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c1_1(a746) | c2_1(a746) | (~c3_1(a746)))),
% 0.99/0.91 inference(quant_inst,[status(thm)],[])).
% 0.99/0.91 tff(403,plain,
% 0.99/0.91 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c2_1(a746) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c3_1(a746)) | c1_1(a746)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[402, 401])).
% 0.99/0.91 tff(404,plain,
% 0.99/0.91 ($false),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[403, 116, 21, 370, 397, 396, 353, 395, 387, 377])).
% 0.99/0.91 tff(405,plain,(hskp0 | hskp11 | c0_1(a734) | c3_1(a734) | (~c3_1(a741)) | c0_1(a741) | (~c1_1(a741))), inference(lemma,lemma(discharge,[]))).
% 0.99/0.91 tff(406,plain,
% 0.99/0.91 (hskp0),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[405, 179, 21, 22, 33, 185, 168])).
% 0.99/0.91 tff(407,plain,
% 0.99/0.91 (((~hskp0) | (~c1_1(a730))) <=> ((~hskp0) | (~c1_1(a730)))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(408,plain,
% 0.99/0.91 (((~c1_1(a730)) | (~hskp0)) <=> ((~hskp0) | (~c1_1(a730)))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(409,axiom,((~c1_1(a730)) | (~hskp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause122')).
% 0.99/0.91 tff(410,plain,
% 0.99/0.91 ((~hskp0) | (~c1_1(a730))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[409, 408])).
% 0.99/0.91 tff(411,plain,
% 0.99/0.91 ((~hskp0) | (~c1_1(a730))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[410, 407])).
% 0.99/0.91 tff(412,plain,
% 0.99/0.91 (~c1_1(a730)),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[411, 406])).
% 0.99/0.91 tff(413,plain,
% 0.99/0.91 (^[U: $i] : refl((hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U)) <=> (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U)))),
% 0.99/0.91 inference(bind,[status(th)],[])).
% 0.99/0.91 tff(414,plain,
% 0.99/0.91 (![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U)) <=> ![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))),
% 0.99/0.91 inference(quant_intro,[status(thm)],[413])).
% 0.99/0.91 tff(415,plain,
% 0.99/0.91 (![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U)) <=> ![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(416,plain,
% 0.99/0.91 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ndr1_0) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U))), ((((~ndr1_0) | c0_1(U)) | c1_1(U)) <=> (((~ndr1_0) | c0_1(U)) | c1_1(U)))), rewrite((((~ndr1_0) | c0_1(U)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U))), ((((~ndr1_0) | c0_1(U)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U)))), (((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c1_1(U) | c0_1(U)) | c3_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | c0_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))), (((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U)))), ((((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c3_1(U)) | hskp4) <=> (((~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U)) | hskp4))), rewrite((((~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U)) | hskp4) <=> (hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))), ((((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c3_1(U)) | hskp4) <=> (hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U)))), (((((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c3_1(U)) | hskp4) | hskp5) <=> ((hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U)) | hskp5))), rewrite(((hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U)) | hskp5) <=> (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))), (((((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c3_1(U)) | hskp4) | hskp5) <=> (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))))),
% 0.99/0.91 inference(bind,[status(th)],[])).
% 0.99/0.91 tff(417,plain,
% 0.99/0.91 (![U: $i] : ((((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c3_1(U)) | hskp4) | hskp5) <=> ![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))),
% 0.99/0.91 inference(quant_intro,[status(thm)],[416])).
% 0.99/0.91 tff(418,axiom,(![U: $i] : ((((((~ndr1_0) | c0_1(U)) | c1_1(U)) | c3_1(U)) | hskp4) | hskp5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause124')).
% 0.99/0.91 tff(419,plain,
% 0.99/0.91 (![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[418, 417])).
% 0.99/0.91 tff(420,plain,
% 0.99/0.91 (![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[419, 415])).
% 0.99/0.91 tff(421,plain,(
% 0.99/0.91 ![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))),
% 0.99/0.91 inference(skolemize,[status(sab)],[420])).
% 0.99/0.91 tff(422,plain,
% 0.99/0.91 (![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[421, 414])).
% 0.99/0.91 tff(423,assumption,(~hskp5), introduced(assumption)).
% 0.99/0.91 tff(424,plain,
% 0.99/0.91 (((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | c1_1(a734) | c0_1(a734) | c3_1(a734) | (~ndr1_0))) <=> ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | hskp5 | hskp4 | c1_1(a734) | c0_1(a734) | c3_1(a734) | (~ndr1_0))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(425,plain,
% 0.99/0.91 ((hskp5 | hskp4 | (~ndr1_0) | c1_1(a734) | c0_1(a734) | c3_1(a734)) <=> (hskp5 | hskp4 | c1_1(a734) | c0_1(a734) | c3_1(a734) | (~ndr1_0))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(426,plain,
% 0.99/0.91 (((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | (~ndr1_0) | c1_1(a734) | c0_1(a734) | c3_1(a734))) <=> ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | c1_1(a734) | c0_1(a734) | c3_1(a734) | (~ndr1_0)))),
% 0.99/0.91 inference(monotonicity,[status(thm)],[425])).
% 0.99/0.91 tff(427,plain,
% 0.99/0.91 (((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | (~ndr1_0) | c1_1(a734) | c0_1(a734) | c3_1(a734))) <=> ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | hskp5 | hskp4 | c1_1(a734) | c0_1(a734) | c3_1(a734) | (~ndr1_0))),
% 0.99/0.91 inference(transitivity,[status(thm)],[426, 424])).
% 0.99/0.91 tff(428,plain,
% 0.99/0.91 ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | (~ndr1_0) | c1_1(a734) | c0_1(a734) | c3_1(a734))),
% 0.99/0.91 inference(quant_inst,[status(thm)],[])).
% 0.99/0.91 tff(429,plain,
% 0.99/0.91 ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | hskp5 | hskp4 | c1_1(a734) | c0_1(a734) | c3_1(a734) | (~ndr1_0)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[428, 427])).
% 0.99/0.91 tff(430,plain,
% 0.99/0.91 (hskp4 | c1_1(a734) | c0_1(a734)),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[429, 116, 423, 33, 422])).
% 0.99/0.91 tff(431,plain,
% 0.99/0.91 ($false),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[430, 55, 44, 22])).
% 0.99/0.91 tff(432,plain,(c1_1(a734) | c0_1(a734) | hskp5 | c3_1(a734)), inference(lemma,lemma(discharge,[]))).
% 0.99/0.91 tff(433,plain,
% 0.99/0.91 (hskp5),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[432, 44, 33, 22])).
% 0.99/0.91 tff(434,plain,
% 0.99/0.91 (((~hskp5) | c3_1(a735)) <=> ((~hskp5) | c3_1(a735))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(435,axiom,((~hskp5) | c3_1(a735)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause74')).
% 0.99/0.91 tff(436,plain,
% 0.99/0.91 ((~hskp5) | c3_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[435, 434])).
% 0.99/0.91 tff(437,plain,
% 0.99/0.91 ((~hskp5) | c3_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[436, 434])).
% 0.99/0.91 tff(438,plain,
% 0.99/0.91 ((~hskp5) | c3_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[437, 434])).
% 0.99/0.91 tff(439,plain,
% 0.99/0.91 ((~hskp5) | c3_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[438, 434])).
% 0.99/0.91 tff(440,plain,
% 0.99/0.91 ((~hskp5) | c3_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[439, 434])).
% 0.99/0.91 tff(441,plain,
% 0.99/0.91 ((~hskp5) | c3_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[440, 434])).
% 0.99/0.91 tff(442,plain,
% 0.99/0.91 ((~hskp5) | c3_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[441, 434])).
% 0.99/0.91 tff(443,plain,
% 0.99/0.91 ((~hskp5) | c3_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[442, 434])).
% 0.99/0.91 tff(444,plain,
% 0.99/0.91 (c3_1(a735)),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[443, 433])).
% 0.99/0.91 tff(445,plain,
% 0.99/0.91 (((~hskp5) | c2_1(a735)) <=> ((~hskp5) | c2_1(a735))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(446,axiom,((~hskp5) | c2_1(a735)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause73')).
% 0.99/0.91 tff(447,plain,
% 0.99/0.91 ((~hskp5) | c2_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[446, 445])).
% 0.99/0.91 tff(448,plain,
% 0.99/0.91 ((~hskp5) | c2_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[447, 445])).
% 0.99/0.91 tff(449,plain,
% 0.99/0.91 ((~hskp5) | c2_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[448, 445])).
% 0.99/0.91 tff(450,plain,
% 0.99/0.91 ((~hskp5) | c2_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[449, 445])).
% 0.99/0.91 tff(451,plain,
% 0.99/0.91 ((~hskp5) | c2_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[450, 445])).
% 0.99/0.91 tff(452,plain,
% 0.99/0.91 ((~hskp5) | c2_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[451, 445])).
% 0.99/0.91 tff(453,plain,
% 0.99/0.91 ((~hskp5) | c2_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[452, 445])).
% 0.99/0.91 tff(454,plain,
% 0.99/0.91 ((~hskp5) | c2_1(a735)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[453, 445])).
% 0.99/0.91 tff(455,plain,
% 0.99/0.91 (c2_1(a735)),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[454, 433])).
% 0.99/0.91 tff(456,plain,
% 0.99/0.91 (((~hskp5) | (~c0_1(a735))) <=> ((~hskp5) | (~c0_1(a735)))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(457,plain,
% 0.99/0.91 (((~c0_1(a735)) | (~hskp5)) <=> ((~hskp5) | (~c0_1(a735)))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(458,axiom,((~c0_1(a735)) | (~hskp5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause113')).
% 0.99/0.91 tff(459,plain,
% 0.99/0.91 ((~hskp5) | (~c0_1(a735))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[458, 457])).
% 0.99/0.91 tff(460,plain,
% 0.99/0.91 ((~hskp5) | (~c0_1(a735))),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[459, 456])).
% 0.99/0.91 tff(461,plain,
% 0.99/0.91 (~c0_1(a735)),
% 0.99/0.91 inference(unit_resolution,[status(thm)],[460, 433])).
% 0.99/0.91 tff(462,plain,
% 0.99/0.91 (((~hskp0) | c3_1(a730)) <=> ((~hskp0) | c3_1(a730))),
% 0.99/0.91 inference(rewrite,[status(thm)],[])).
% 0.99/0.91 tff(463,axiom,((~hskp0) | c3_1(a730)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause80')).
% 0.99/0.91 tff(464,plain,
% 0.99/0.91 ((~hskp0) | c3_1(a730)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[463, 462])).
% 0.99/0.91 tff(465,plain,
% 0.99/0.91 ((~hskp0) | c3_1(a730)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[464, 462])).
% 0.99/0.91 tff(466,plain,
% 0.99/0.91 ((~hskp0) | c3_1(a730)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[465, 462])).
% 0.99/0.91 tff(467,plain,
% 0.99/0.91 ((~hskp0) | c3_1(a730)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[466, 462])).
% 0.99/0.91 tff(468,plain,
% 0.99/0.91 ((~hskp0) | c3_1(a730)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[467, 462])).
% 0.99/0.91 tff(469,plain,
% 0.99/0.91 ((~hskp0) | c3_1(a730)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[468, 462])).
% 0.99/0.91 tff(470,plain,
% 0.99/0.91 ((~hskp0) | c3_1(a730)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[469, 462])).
% 0.99/0.91 tff(471,plain,
% 0.99/0.91 ((~hskp0) | c3_1(a730)),
% 0.99/0.91 inference(modus_ponens,[status(thm)],[470, 462])).
% 0.99/0.91 tff(472,plain,
% 0.99/0.92 (c3_1(a730)),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[471, 406])).
% 0.99/0.92 tff(473,plain,
% 0.99/0.92 (((~hskp0) | c0_1(a730)) <=> ((~hskp0) | c0_1(a730))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(474,axiom,((~hskp0) | c0_1(a730)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause79')).
% 0.99/0.92 tff(475,plain,
% 0.99/0.92 ((~hskp0) | c0_1(a730)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[474, 473])).
% 0.99/0.92 tff(476,plain,
% 0.99/0.92 ((~hskp0) | c0_1(a730)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[475, 473])).
% 0.99/0.92 tff(477,plain,
% 0.99/0.92 ((~hskp0) | c0_1(a730)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[476, 473])).
% 0.99/0.92 tff(478,plain,
% 0.99/0.92 ((~hskp0) | c0_1(a730)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[477, 473])).
% 0.99/0.92 tff(479,plain,
% 0.99/0.92 ((~hskp0) | c0_1(a730)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[478, 473])).
% 0.99/0.92 tff(480,plain,
% 0.99/0.92 ((~hskp0) | c0_1(a730)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[479, 473])).
% 0.99/0.92 tff(481,plain,
% 0.99/0.92 ((~hskp0) | c0_1(a730)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[480, 473])).
% 0.99/0.92 tff(482,plain,
% 0.99/0.92 ((~hskp0) | c0_1(a730)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[481, 473])).
% 0.99/0.92 tff(483,plain,
% 0.99/0.92 (c0_1(a730)),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[482, 406])).
% 0.99/0.92 tff(484,assumption,(c2_1(a730)), introduced(assumption)).
% 0.99/0.92 tff(485,plain,
% 0.99/0.92 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W))) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W))))),
% 0.99/0.92 inference(bind,[status(th)],[])).
% 0.99/0.92 tff(486,plain,
% 0.99/0.92 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))),
% 0.99/0.92 inference(quant_intro,[status(thm)],[485])).
% 0.99/0.92 tff(487,plain,
% 0.99/0.92 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(488,plain,
% 0.99/0.92 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))) | (~c2_1(W))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c2_1(W)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c2_1(W))))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | (~c3_1(W))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c2_1(W))) | (~c3_1(W))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c2_1(W))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W)) | (~c2_1(W)))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W)) | (~c2_1(W))))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | (~c3_1(W))) | c2_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W)) | (~c2_1(W))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W)) | (~c2_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W)) | (~c2_1(W)))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | (~c3_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W)) | (~c2_1(W))))), ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W)) | (~c2_1(W))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W)) | (~c2_1(W))) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W)) | (~c2_1(W)))), ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W)) | (~c2_1(W))))), (((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W)) | (~c2_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W)) | (~c2_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))), (((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))))),
% 0.99/0.92 inference(bind,[status(th)],[])).
% 0.99/0.92 tff(489,plain,
% 0.99/0.92 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))),
% 0.99/0.92 inference(quant_intro,[status(thm)],[488])).
% 0.99/0.92 tff(490,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c2_1(W))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c0_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause175')).
% 0.99/0.92 tff(491,plain,
% 0.99/0.92 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[490, 489])).
% 0.99/0.92 tff(492,plain,
% 0.99/0.92 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[491, 487])).
% 0.99/0.92 tff(493,plain,(
% 0.99/0.92 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))),
% 0.99/0.92 inference(skolemize,[status(sab)],[492])).
% 0.99/0.92 tff(494,plain,
% 0.99/0.92 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[493, 486])).
% 0.99/0.92 tff(495,assumption,(~c1_1(a730)), introduced(assumption)).
% 0.99/0.92 tff(496,assumption,(~c0_1(a735)), introduced(assumption)).
% 0.99/0.92 tff(497,plain,
% 0.99/0.92 (^[U: $i] : refl((hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) <=> (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))))),
% 0.99/0.92 inference(bind,[status(th)],[])).
% 0.99/0.92 tff(498,plain,
% 0.99/0.92 (![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))),
% 0.99/0.92 inference(quant_intro,[status(thm)],[497])).
% 0.99/0.92 tff(499,plain,
% 0.99/0.92 (![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(500,plain,
% 0.99/0.92 (^[U: $i] : 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)) | hskp21) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | hskp21))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | hskp21) <=> (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp21) <=> (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))))),
% 0.99/0.92 inference(bind,[status(th)],[])).
% 0.99/0.92 tff(501,plain,
% 0.99/0.92 (![U: $i] : (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp21) <=> ![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))),
% 0.99/0.92 inference(quant_intro,[status(thm)],[500])).
% 0.99/0.92 tff(502,axiom,(![U: $i] : (((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause143')).
% 0.99/0.92 tff(503,plain,
% 0.99/0.92 (![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[502, 501])).
% 0.99/0.92 tff(504,plain,
% 0.99/0.92 (![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[503, 499])).
% 0.99/0.92 tff(505,plain,(
% 0.99/0.92 ![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))),
% 0.99/0.92 inference(skolemize,[status(sab)],[504])).
% 0.99/0.92 tff(506,plain,
% 0.99/0.92 (![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[505, 498])).
% 0.99/0.92 tff(507,assumption,(c3_1(a730)), introduced(assumption)).
% 0.99/0.92 tff(508,assumption,(c0_1(a730)), introduced(assumption)).
% 0.99/0.92 tff(509,plain,
% 0.99/0.92 (((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp21 | (~ndr1_0) | (~c2_1(a730)) | (~c0_1(a730)) | (~c3_1(a730)))) <=> ((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | hskp21 | (~ndr1_0) | (~c2_1(a730)) | (~c0_1(a730)) | (~c3_1(a730)))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(510,plain,
% 0.99/0.92 ((hskp21 | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c0_1(a730))) <=> (hskp21 | (~ndr1_0) | (~c2_1(a730)) | (~c0_1(a730)) | (~c3_1(a730)))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(511,plain,
% 0.99/0.92 (((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp21 | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c0_1(a730)))) <=> ((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp21 | (~ndr1_0) | (~c2_1(a730)) | (~c0_1(a730)) | (~c3_1(a730))))),
% 0.99/0.92 inference(monotonicity,[status(thm)],[510])).
% 0.99/0.92 tff(512,plain,
% 0.99/0.92 (((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp21 | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c0_1(a730)))) <=> ((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | hskp21 | (~ndr1_0) | (~c2_1(a730)) | (~c0_1(a730)) | (~c3_1(a730)))),
% 0.99/0.92 inference(transitivity,[status(thm)],[511, 509])).
% 0.99/0.92 tff(513,plain,
% 0.99/0.92 ((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp21 | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c0_1(a730)))),
% 0.99/0.92 inference(quant_inst,[status(thm)],[])).
% 0.99/0.92 tff(514,plain,
% 0.99/0.92 ((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | hskp21 | (~ndr1_0) | (~c2_1(a730)) | (~c0_1(a730)) | (~c3_1(a730))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[513, 512])).
% 0.99/0.92 tff(515,plain,
% 0.99/0.92 (hskp21 | (~c2_1(a730))),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[514, 116, 508, 507, 506])).
% 0.99/0.92 tff(516,plain,
% 0.99/0.92 (hskp21),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[515, 484])).
% 0.99/0.92 tff(517,plain,
% 0.99/0.92 (((~hskp21) | (~c2_1(a793))) <=> ((~hskp21) | (~c2_1(a793)))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(518,plain,
% 0.99/0.92 (((~c2_1(a793)) | (~hskp21)) <=> ((~hskp21) | (~c2_1(a793)))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(519,axiom,((~c2_1(a793)) | (~hskp21)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause86')).
% 0.99/0.92 tff(520,plain,
% 0.99/0.92 ((~hskp21) | (~c2_1(a793))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[519, 518])).
% 0.99/0.92 tff(521,plain,
% 0.99/0.92 ((~hskp21) | (~c2_1(a793))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[520, 517])).
% 0.99/0.92 tff(522,plain,
% 0.99/0.92 (~c2_1(a793)),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[521, 516])).
% 0.99/0.92 tff(523,assumption,(c3_1(a735)), introduced(assumption)).
% 0.99/0.92 tff(524,assumption,(c2_1(a735)), introduced(assumption)).
% 0.99/0.92 tff(525,plain,
% 0.99/0.92 (((~hskp21) | c3_1(a793)) <=> ((~hskp21) | c3_1(a793))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(526,axiom,((~hskp21) | c3_1(a793)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause53')).
% 0.99/0.92 tff(527,plain,
% 0.99/0.92 ((~hskp21) | c3_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[526, 525])).
% 0.99/0.92 tff(528,plain,
% 0.99/0.92 ((~hskp21) | c3_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[527, 525])).
% 0.99/0.92 tff(529,plain,
% 0.99/0.92 ((~hskp21) | c3_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[528, 525])).
% 0.99/0.92 tff(530,plain,
% 0.99/0.92 ((~hskp21) | c3_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[529, 525])).
% 0.99/0.92 tff(531,plain,
% 0.99/0.92 ((~hskp21) | c3_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[530, 525])).
% 0.99/0.92 tff(532,plain,
% 0.99/0.92 ((~hskp21) | c3_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[531, 525])).
% 0.99/0.92 tff(533,plain,
% 0.99/0.92 ((~hskp21) | c3_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[532, 525])).
% 0.99/0.92 tff(534,plain,
% 0.99/0.92 ((~hskp21) | c3_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[533, 525])).
% 0.99/0.92 tff(535,plain,
% 0.99/0.92 (c3_1(a793)),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[534, 516])).
% 0.99/0.92 tff(536,plain,
% 0.99/0.92 (((~hskp21) | c0_1(a793)) <=> ((~hskp21) | c0_1(a793))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(537,axiom,((~hskp21) | c0_1(a793)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause52')).
% 0.99/0.92 tff(538,plain,
% 0.99/0.92 ((~hskp21) | c0_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[537, 536])).
% 0.99/0.92 tff(539,plain,
% 0.99/0.92 ((~hskp21) | c0_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[538, 536])).
% 0.99/0.92 tff(540,plain,
% 0.99/0.92 ((~hskp21) | c0_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[539, 536])).
% 0.99/0.92 tff(541,plain,
% 0.99/0.92 ((~hskp21) | c0_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[540, 536])).
% 0.99/0.92 tff(542,plain,
% 0.99/0.92 ((~hskp21) | c0_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[541, 536])).
% 0.99/0.92 tff(543,plain,
% 0.99/0.92 ((~hskp21) | c0_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[542, 536])).
% 0.99/0.92 tff(544,plain,
% 0.99/0.92 ((~hskp21) | c0_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[543, 536])).
% 0.99/0.92 tff(545,plain,
% 0.99/0.92 ((~hskp21) | c0_1(a793)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[544, 536])).
% 0.99/0.92 tff(546,plain,
% 0.99/0.92 (c0_1(a793)),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[545, 516])).
% 0.99/0.92 tff(547,plain,
% 0.99/0.92 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a793) | c0_1(a735) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c3_1(a793)) | (~c0_1(a793)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a735) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(548,plain,
% 0.99/0.92 (((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735))) <=> (c2_1(a793) | c0_1(a735) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(549,plain,
% 0.99/0.92 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a793) | c0_1(a735) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c3_1(a793)) | (~c0_1(a793))))),
% 0.99/0.92 inference(monotonicity,[status(thm)],[548])).
% 0.99/0.92 tff(550,plain,
% 0.99/0.92 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a735) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 0.99/0.92 inference(transitivity,[status(thm)],[549, 547])).
% 0.99/0.92 tff(551,plain,
% 0.99/0.92 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735)))),
% 0.99/0.92 inference(quant_inst,[status(thm)],[])).
% 0.99/0.92 tff(552,plain,
% 0.99/0.92 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a735) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c3_1(a793)) | (~c0_1(a793))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[551, 550])).
% 0.99/0.92 tff(553,plain,
% 0.99/0.92 ($false),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[552, 116, 546, 535, 524, 523, 507, 522, 496, 495, 494, 484])).
% 0.99/0.92 tff(554,plain,((~c2_1(a730)) | (~c2_1(a735)) | (~c3_1(a735)) | (~c3_1(a730)) | c0_1(a735) | c1_1(a730) | (~c0_1(a730))), inference(lemma,lemma(discharge,[]))).
% 0.99/0.92 tff(555,plain,
% 0.99/0.92 (~c2_1(a730)),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[554, 483, 444, 472, 461, 412, 455])).
% 0.99/0.92 tff(556,assumption,(~c2_1(a730)), introduced(assumption)).
% 0.99/0.92 tff(557,plain,
% 0.99/0.92 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | c0_1(a735) | (~ndr1_0) | (~c2_1(a735)) | c1_1(a735))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp2 | hskp1 | c0_1(a735) | (~ndr1_0) | (~c2_1(a735)) | c1_1(a735))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(558,plain,
% 0.99/0.92 ((hskp2 | hskp1 | (~ndr1_0) | c1_1(a735) | c0_1(a735) | (~c2_1(a735))) <=> (hskp2 | hskp1 | c0_1(a735) | (~ndr1_0) | (~c2_1(a735)) | c1_1(a735))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(559,plain,
% 0.99/0.92 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | c1_1(a735) | c0_1(a735) | (~c2_1(a735)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | c0_1(a735) | (~ndr1_0) | (~c2_1(a735)) | c1_1(a735)))),
% 0.99/0.92 inference(monotonicity,[status(thm)],[558])).
% 0.99/0.92 tff(560,plain,
% 0.99/0.92 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | c1_1(a735) | c0_1(a735) | (~c2_1(a735)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp2 | hskp1 | c0_1(a735) | (~ndr1_0) | (~c2_1(a735)) | c1_1(a735))),
% 0.99/0.92 inference(transitivity,[status(thm)],[559, 557])).
% 0.99/0.92 tff(561,plain,
% 0.99/0.92 ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | c1_1(a735) | c0_1(a735) | (~c2_1(a735)))),
% 0.99/0.92 inference(quant_inst,[status(thm)],[])).
% 0.99/0.92 tff(562,plain,
% 0.99/0.92 ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp2 | hskp1 | c0_1(a735) | (~ndr1_0) | (~c2_1(a735)) | c1_1(a735)),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[561, 560])).
% 0.99/0.92 tff(563,plain,
% 0.99/0.92 (hskp2 | hskp1 | c1_1(a735)),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[562, 116, 524, 496, 290])).
% 0.99/0.92 tff(564,plain,
% 0.99/0.92 (c1_1(a735)),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[563, 280, 279])).
% 0.99/0.92 tff(565,assumption,(c1_1(a735)), introduced(assumption)).
% 0.99/0.92 tff(566,plain,
% 0.99/0.92 (^[V: $i, U: $i] : refl((hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))))),
% 0.99/0.92 inference(bind,[status(th)],[])).
% 0.99/0.92 tff(567,plain,
% 0.99/0.92 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.99/0.92 inference(quant_intro,[status(thm)],[566])).
% 0.99/0.92 tff(568,plain,
% 0.99/0.92 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(569,plain,
% 0.99/0.92 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c0_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c0_1(U)))), ((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c1_1(V)))), ((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c1_1(V))))), (((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)))), (((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) <=> (((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | 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))))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | hskp2) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp2))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp2) <=> (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | hskp2) <=> (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))))),
% 0.99/0.92 inference(bind,[status(th)],[])).
% 0.99/0.92 tff(570,plain,
% 0.99/0.92 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | hskp2) <=> ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.99/0.92 inference(quant_intro,[status(thm)],[569])).
% 0.99/0.92 tff(571,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | hskp2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause159')).
% 0.99/0.92 tff(572,plain,
% 0.99/0.92 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[571, 570])).
% 0.99/0.92 tff(573,plain,
% 0.99/0.92 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[572, 568])).
% 0.99/0.92 tff(574,plain,(
% 0.99/0.92 ![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.99/0.92 inference(skolemize,[status(sab)],[573])).
% 0.99/0.92 tff(575,plain,
% 0.99/0.92 (![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[574, 567])).
% 0.99/0.92 tff(576,plain,
% 0.99/0.92 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c0_1(a735) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a735)) | (~c1_1(a735)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c0_1(a735) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a735)) | (~c1_1(a735)))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(577,plain,
% 0.99/0.92 ((hskp2 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c0_1(a730)) | c0_1(a735) | (~c3_1(a735)) | (~c1_1(a735))) <=> (hskp2 | c0_1(a735) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a735)) | (~c1_1(a735)))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(578,plain,
% 0.99/0.92 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c0_1(a730)) | c0_1(a735) | (~c3_1(a735)) | (~c1_1(a735)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c0_1(a735) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a735)) | (~c1_1(a735))))),
% 0.99/0.92 inference(monotonicity,[status(thm)],[577])).
% 0.99/0.92 tff(579,plain,
% 0.99/0.92 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c0_1(a730)) | c0_1(a735) | (~c3_1(a735)) | (~c1_1(a735)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c0_1(a735) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a735)) | (~c1_1(a735)))),
% 0.99/0.92 inference(transitivity,[status(thm)],[578, 576])).
% 0.99/0.92 tff(580,plain,
% 0.99/0.92 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c0_1(a730)) | c0_1(a735) | (~c3_1(a735)) | (~c1_1(a735)))),
% 0.99/0.92 inference(quant_inst,[status(thm)],[])).
% 0.99/0.92 tff(581,plain,
% 0.99/0.92 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c0_1(a735) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a735)) | (~c1_1(a735))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[580, 579])).
% 0.99/0.92 tff(582,plain,
% 0.99/0.92 ($false),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[581, 116, 280, 523, 508, 496, 495, 575, 556, 565])).
% 0.99/0.92 tff(583,plain,(c2_1(a730) | hskp2 | (~c3_1(a735)) | (~c0_1(a730)) | c0_1(a735) | c1_1(a730) | (~c1_1(a735))), inference(lemma,lemma(discharge,[]))).
% 0.99/0.92 tff(584,plain,
% 0.99/0.92 ($false),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[583, 564, 280, 523, 508, 496, 495, 556])).
% 0.99/0.92 tff(585,plain,(hskp2 | (~c3_1(a735)) | (~c0_1(a730)) | c0_1(a735) | c1_1(a730) | c2_1(a730) | hskp1 | (~c2_1(a735))), inference(lemma,lemma(discharge,[]))).
% 0.99/0.92 tff(586,plain,
% 0.99/0.92 (hskp2),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[585, 483, 455, 461, 412, 555, 142, 444])).
% 0.99/0.92 tff(587,plain,
% 0.99/0.92 (((~hskp2) | (~c3_1(a732))) <=> ((~hskp2) | (~c3_1(a732)))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(588,plain,
% 0.99/0.92 (((~c3_1(a732)) | (~hskp2)) <=> ((~hskp2) | (~c3_1(a732)))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(589,axiom,((~c3_1(a732)) | (~hskp2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause120')).
% 0.99/0.92 tff(590,plain,
% 0.99/0.92 ((~hskp2) | (~c3_1(a732))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[589, 588])).
% 0.99/0.92 tff(591,plain,
% 0.99/0.92 ((~hskp2) | (~c3_1(a732))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[590, 587])).
% 0.99/0.92 tff(592,plain,
% 0.99/0.92 (~c3_1(a732)),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[591, 586])).
% 0.99/0.92 tff(593,plain,
% 0.99/0.92 (~c2_1(a732)),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[306, 586])).
% 0.99/0.92 tff(594,plain,
% 0.99/0.92 (~c0_1(a732)),
% 0.99/0.92 inference(unit_resolution,[status(thm)],[312, 586])).
% 0.99/0.92 tff(595,plain,
% 0.99/0.92 (^[U: $i] : refl((hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) <=> (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))))),
% 0.99/0.92 inference(bind,[status(th)],[])).
% 0.99/0.92 tff(596,plain,
% 0.99/0.92 (![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 0.99/0.92 inference(quant_intro,[status(thm)],[595])).
% 0.99/0.92 tff(597,plain,
% 0.99/0.92 (![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 0.99/0.92 inference(rewrite,[status(thm)],[])).
% 0.99/0.92 tff(598,plain,
% 0.99/0.92 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp27) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp27))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp27) <=> (hskp27 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp27) <=> (hskp27 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp27) | hskp11) <=> ((hskp27 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp11))), rewrite(((hskp27 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp11) <=> (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp27) | hskp11) <=> (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))))),
% 0.99/0.92 inference(bind,[status(th)],[])).
% 0.99/0.92 tff(599,plain,
% 0.99/0.92 (![U: $i] : ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp27) | hskp11) <=> ![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 0.99/0.92 inference(quant_intro,[status(thm)],[598])).
% 0.99/0.92 tff(600,axiom,(![U: $i] : ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp27) | hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause142')).
% 0.99/0.92 tff(601,plain,
% 0.99/0.92 (![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[600, 599])).
% 0.99/0.92 tff(602,plain,
% 0.99/0.92 (![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[601, 597])).
% 0.99/0.92 tff(603,plain,(
% 0.99/0.92 ![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 0.99/0.92 inference(skolemize,[status(sab)],[602])).
% 0.99/0.92 tff(604,plain,
% 0.99/0.92 (![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 0.99/0.92 inference(modus_ponens,[status(thm)],[603, 596])).
% 0.99/0.92 tff(605,assumption,(~hskp27), introduced(assumption)).
% 0.99/0.92 tff(606,assumption,(c2_1(a741)), introduced(assumption)).
% 0.99/0.92 tff(607,plain,
% 0.99/0.92 (^[U: $i] : refl((hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))) <=> (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))))),
% 0.99/0.93 inference(bind,[status(th)],[])).
% 0.99/0.93 tff(608,plain,
% 0.99/0.93 (![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 0.99/0.93 inference(quant_intro,[status(thm)],[607])).
% 0.99/0.93 tff(609,plain,
% 0.99/0.93 (![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 0.99/0.93 inference(rewrite,[status(thm)],[])).
% 0.99/0.93 tff(610,plain,
% 0.99/0.93 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp27) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp27))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp27) <=> (hskp27 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp27) <=> (hskp27 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp27) | hskp17) <=> ((hskp27 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp17))), rewrite(((hskp27 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U))) | hskp17) <=> (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp27) | hskp17) <=> (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))))),
% 0.99/0.93 inference(bind,[status(th)],[])).
% 0.99/0.93 tff(611,plain,
% 0.99/0.93 (![U: $i] : ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp27) | hskp17) <=> ![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 0.99/0.93 inference(quant_intro,[status(thm)],[610])).
% 0.99/0.93 tff(612,axiom,(![U: $i] : ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp27) | hskp17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause138')).
% 0.99/0.93 tff(613,plain,
% 0.99/0.93 (![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 0.99/0.93 inference(modus_ponens,[status(thm)],[612, 611])).
% 0.99/0.93 tff(614,plain,
% 0.99/0.93 (![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 0.99/0.93 inference(modus_ponens,[status(thm)],[613, 609])).
% 0.99/0.93 tff(615,plain,(
% 0.99/0.93 ![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 0.99/0.93 inference(skolemize,[status(sab)],[614])).
% 0.99/0.93 tff(616,plain,
% 0.99/0.93 (![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))),
% 0.99/0.93 inference(modus_ponens,[status(thm)],[615, 608])).
% 0.99/0.93 tff(617,plain,
% 0.99/0.93 (((~![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp17 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)))) <=> ((~![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp27 | hskp17 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)))),
% 0.99/0.93 inference(rewrite,[status(thm)],[])).
% 0.99/0.93 tff(618,plain,
% 0.99/0.93 ((hskp27 | hskp17 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741))) <=> (hskp27 | hskp17 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)))),
% 0.99/0.93 inference(rewrite,[status(thm)],[])).
% 0.99/0.93 tff(619,plain,
% 0.99/0.93 (((~![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp17 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741)))) <=> ((~![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp17 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741))))),
% 0.99/0.93 inference(monotonicity,[status(thm)],[618])).
% 0.99/0.93 tff(620,plain,
% 0.99/0.93 (((~![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp17 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741)))) <=> ((~![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp27 | hskp17 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)))),
% 0.99/0.93 inference(transitivity,[status(thm)],[619, 617])).
% 0.99/0.93 tff(621,plain,
% 0.99/0.93 ((~![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp17 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741)))),
% 0.99/0.93 inference(quant_inst,[status(thm)],[])).
% 0.99/0.93 tff(622,plain,
% 0.99/0.93 ((~![U: $i] : (hskp27 | hskp17 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp27 | hskp17 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741))),
% 0.99/0.93 inference(modus_ponens,[status(thm)],[621, 620])).
% 0.99/0.93 tff(623,plain,
% 0.99/0.93 (hskp27 | hskp17),
% 0.99/0.93 inference(unit_resolution,[status(thm)],[622, 116, 231, 198, 616, 606])).
% 0.99/0.93 tff(624,plain,
% 0.99/0.93 (hskp17),
% 0.99/0.93 inference(unit_resolution,[status(thm)],[623, 605])).
% 0.99/0.93 tff(625,plain,
% 0.99/0.93 (((~hskp17) | c2_1(a766)) <=> ((~hskp17) | c2_1(a766))),
% 0.99/0.93 inference(rewrite,[status(thm)],[])).
% 0.99/0.93 tff(626,axiom,((~hskp17) | c2_1(a766)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause58')).
% 1.07/0.93 tff(627,plain,
% 1.07/0.93 ((~hskp17) | c2_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[626, 625])).
% 1.07/0.93 tff(628,plain,
% 1.07/0.93 ((~hskp17) | c2_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[627, 625])).
% 1.07/0.93 tff(629,plain,
% 1.07/0.93 ((~hskp17) | c2_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[628, 625])).
% 1.07/0.93 tff(630,plain,
% 1.07/0.93 ((~hskp17) | c2_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[629, 625])).
% 1.07/0.93 tff(631,plain,
% 1.07/0.93 ((~hskp17) | c2_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[630, 625])).
% 1.07/0.93 tff(632,plain,
% 1.07/0.93 ((~hskp17) | c2_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[631, 625])).
% 1.07/0.93 tff(633,plain,
% 1.07/0.93 ((~hskp17) | c2_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[632, 625])).
% 1.07/0.93 tff(634,plain,
% 1.07/0.93 ((~hskp17) | c2_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[633, 625])).
% 1.07/0.93 tff(635,plain,
% 1.07/0.93 (c2_1(a766)),
% 1.07/0.93 inference(unit_resolution,[status(thm)],[634, 624])).
% 1.07/0.93 tff(636,plain,
% 1.07/0.93 (((~hskp17) | c1_1(a766)) <=> ((~hskp17) | c1_1(a766))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(637,axiom,((~hskp17) | c1_1(a766)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause57')).
% 1.07/0.93 tff(638,plain,
% 1.07/0.93 ((~hskp17) | c1_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[637, 636])).
% 1.07/0.93 tff(639,plain,
% 1.07/0.93 ((~hskp17) | c1_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[638, 636])).
% 1.07/0.93 tff(640,plain,
% 1.07/0.93 ((~hskp17) | c1_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[639, 636])).
% 1.07/0.93 tff(641,plain,
% 1.07/0.93 ((~hskp17) | c1_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[640, 636])).
% 1.07/0.93 tff(642,plain,
% 1.07/0.93 ((~hskp17) | c1_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[641, 636])).
% 1.07/0.93 tff(643,plain,
% 1.07/0.93 ((~hskp17) | c1_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[642, 636])).
% 1.07/0.93 tff(644,plain,
% 1.07/0.93 ((~hskp17) | c1_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[643, 636])).
% 1.07/0.93 tff(645,plain,
% 1.07/0.93 ((~hskp17) | c1_1(a766)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[644, 636])).
% 1.07/0.93 tff(646,plain,
% 1.07/0.93 (c1_1(a766)),
% 1.07/0.93 inference(unit_resolution,[status(thm)],[645, 624])).
% 1.07/0.93 tff(647,plain,
% 1.07/0.93 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c3_1(a766) | (~c2_1(a766)) | (~c1_1(a766)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp27 | hskp11 | (~ndr1_0) | c3_1(a766) | (~c2_1(a766)) | (~c1_1(a766)))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(648,plain,
% 1.07/0.93 ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c3_1(a766) | (~c2_1(a766)) | (~c1_1(a766)))),
% 1.07/0.93 inference(quant_inst,[status(thm)],[])).
% 1.07/0.93 tff(649,plain,
% 1.07/0.93 ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp27 | hskp11 | (~ndr1_0) | c3_1(a766) | (~c2_1(a766)) | (~c1_1(a766))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[648, 647])).
% 1.07/0.93 tff(650,plain,
% 1.07/0.93 (c3_1(a766)),
% 1.07/0.93 inference(unit_resolution,[status(thm)],[649, 116, 605, 21, 646, 635, 604])).
% 1.07/0.93 tff(651,plain,
% 1.07/0.93 (^[U: $i] : refl((hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) <=> (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))))),
% 1.07/0.93 inference(bind,[status(th)],[])).
% 1.07/0.93 tff(652,plain,
% 1.07/0.93 (![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.07/0.93 inference(quant_intro,[status(thm)],[651])).
% 1.07/0.93 tff(653,plain,
% 1.07/0.93 (![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(654,plain,
% 1.07/0.93 (^[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)) | c2_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))), (((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))))), ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp27) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp27))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp27) <=> (hskp27 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))), ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp27) <=> (hskp27 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp27) | hskp11) <=> ((hskp27 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp11))), rewrite(((hskp27 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp11) <=> (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp27) | hskp11) <=> (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))))),
% 1.07/0.93 inference(bind,[status(th)],[])).
% 1.07/0.93 tff(655,plain,
% 1.07/0.93 (![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp27) | hskp11) <=> ![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.07/0.93 inference(quant_intro,[status(thm)],[654])).
% 1.07/0.93 tff(656,axiom,(![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp27) | hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause129')).
% 1.07/0.93 tff(657,plain,
% 1.07/0.93 (![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[656, 655])).
% 1.07/0.93 tff(658,plain,
% 1.07/0.93 (![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[657, 653])).
% 1.07/0.93 tff(659,plain,(
% 1.07/0.93 ![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.07/0.93 inference(skolemize,[status(sab)],[658])).
% 1.07/0.93 tff(660,plain,
% 1.07/0.93 (![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[659, 652])).
% 1.07/0.93 tff(661,plain,
% 1.07/0.93 (^[V: $i, U: $i] : refl((hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V)) <=> (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V)))),
% 1.07/0.93 inference(bind,[status(th)],[])).
% 1.07/0.93 tff(662,plain,
% 1.07/0.93 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))),
% 1.07/0.93 inference(quant_intro,[status(thm)],[661])).
% 1.07/0.93 tff(663,plain,
% 1.07/0.93 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(664,plain,
% 1.07/0.93 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c2_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)))), ((((~c2_1(U)) | (~ndr1_0)) | 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)) | c0_1(V)) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U))) | c0_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U))) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V))), ((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V)))), (((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V)) | c2_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V) | c2_1(V))), (((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V) | c2_1(V)))), ((((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V) | c2_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))), ((((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V)))), (((((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | c3_1(V)) | hskp8) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V)) | hskp8))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V)) | hskp8) <=> (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))), (((((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | c3_1(V)) | hskp8) <=> (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))))),
% 1.07/0.93 inference(bind,[status(th)],[])).
% 1.07/0.93 tff(665,plain,
% 1.07/0.93 (![V: $i, U: $i] : ((((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | c3_1(V)) | hskp8) <=> ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))),
% 1.07/0.93 inference(quant_intro,[status(thm)],[664])).
% 1.07/0.93 tff(666,axiom,(![V: $i, U: $i] : ((((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | c3_1(V)) | hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause148')).
% 1.07/0.93 tff(667,plain,
% 1.07/0.93 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[666, 665])).
% 1.07/0.93 tff(668,plain,
% 1.07/0.93 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[667, 663])).
% 1.07/0.93 tff(669,plain,(
% 1.07/0.93 ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))),
% 1.07/0.93 inference(skolemize,[status(sab)],[668])).
% 1.07/0.93 tff(670,plain,
% 1.07/0.93 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[669, 662])).
% 1.07/0.93 tff(671,assumption,(~c3_1(a732)), introduced(assumption)).
% 1.07/0.93 tff(672,assumption,(~c2_1(a732)), introduced(assumption)).
% 1.07/0.93 tff(673,assumption,(~c0_1(a732)), introduced(assumption)).
% 1.07/0.93 tff(674,plain,
% 1.07/0.93 (^[U: $i] : refl((hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) <=> (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))))),
% 1.07/0.93 inference(bind,[status(th)],[])).
% 1.07/0.93 tff(675,plain,
% 1.07/0.93 (![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 1.07/0.93 inference(quant_intro,[status(thm)],[674])).
% 1.07/0.93 tff(676,plain,
% 1.07/0.93 (![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(677,plain,
% 1.07/0.93 (^[U: $i] : 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(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp27) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp27))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp27) <=> (hskp27 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp27) <=> (hskp27 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp27) | hskp19) <=> ((hskp27 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp19))), rewrite(((hskp27 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp19) <=> (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp27) | hskp19) <=> (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))))),
% 1.07/0.93 inference(bind,[status(th)],[])).
% 1.07/0.93 tff(678,plain,
% 1.07/0.93 (![U: $i] : ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp27) | hskp19) <=> ![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 1.07/0.93 inference(quant_intro,[status(thm)],[677])).
% 1.07/0.93 tff(679,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp27) | hskp19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause139')).
% 1.07/0.93 tff(680,plain,
% 1.07/0.93 (![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[679, 678])).
% 1.07/0.93 tff(681,plain,
% 1.07/0.93 (![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[680, 676])).
% 1.07/0.93 tff(682,plain,(
% 1.07/0.93 ![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 1.07/0.93 inference(skolemize,[status(sab)],[681])).
% 1.07/0.93 tff(683,plain,
% 1.07/0.93 (![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[682, 675])).
% 1.07/0.93 tff(684,plain,
% 1.07/0.93 (((~![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp27 | hskp19 | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)))) <=> ((~![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp27 | hskp19 | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(685,plain,
% 1.07/0.93 ((hskp27 | hskp19 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730))) <=> (hskp27 | hskp19 | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(686,plain,
% 1.07/0.93 (((~![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp27 | hskp19 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)))) <=> ((~![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp27 | hskp19 | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730))))),
% 1.07/0.93 inference(monotonicity,[status(thm)],[685])).
% 1.07/0.93 tff(687,plain,
% 1.07/0.93 (((~![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp27 | hskp19 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)))) <=> ((~![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp27 | hskp19 | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)))),
% 1.07/0.93 inference(transitivity,[status(thm)],[686, 684])).
% 1.07/0.93 tff(688,plain,
% 1.07/0.93 ((~![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp27 | hskp19 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)))),
% 1.07/0.93 inference(quant_inst,[status(thm)],[])).
% 1.07/0.93 tff(689,plain,
% 1.07/0.93 ((~![U: $i] : (hskp27 | hskp19 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp27 | hskp19 | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[688, 687])).
% 1.07/0.93 tff(690,plain,
% 1.07/0.93 (hskp27 | hskp19),
% 1.07/0.93 inference(unit_resolution,[status(thm)],[689, 116, 508, 507, 495, 683])).
% 1.07/0.93 tff(691,plain,
% 1.07/0.93 (hskp19),
% 1.07/0.93 inference(unit_resolution,[status(thm)],[690, 605])).
% 1.07/0.93 tff(692,plain,
% 1.07/0.93 (((~hskp19) | (~c3_1(a777))) <=> ((~hskp19) | (~c3_1(a777)))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(693,plain,
% 1.07/0.93 (((~c3_1(a777)) | (~hskp19)) <=> ((~hskp19) | (~c3_1(a777)))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(694,axiom,((~c3_1(a777)) | (~hskp19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause90')).
% 1.07/0.93 tff(695,plain,
% 1.07/0.93 ((~hskp19) | (~c3_1(a777))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[694, 693])).
% 1.07/0.93 tff(696,plain,
% 1.07/0.93 ((~hskp19) | (~c3_1(a777))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[695, 692])).
% 1.07/0.93 tff(697,plain,
% 1.07/0.93 (~c3_1(a777)),
% 1.07/0.93 inference(unit_resolution,[status(thm)],[696, 691])).
% 1.07/0.93 tff(698,plain,
% 1.07/0.93 (((~hskp19) | (~c0_1(a777))) <=> ((~hskp19) | (~c0_1(a777)))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(699,plain,
% 1.07/0.93 (((~c0_1(a777)) | (~hskp19)) <=> ((~hskp19) | (~c0_1(a777)))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(700,axiom,((~c0_1(a777)) | (~hskp19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause89')).
% 1.07/0.93 tff(701,plain,
% 1.07/0.93 ((~hskp19) | (~c0_1(a777))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[700, 699])).
% 1.07/0.93 tff(702,plain,
% 1.07/0.93 ((~hskp19) | (~c0_1(a777))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[701, 698])).
% 1.07/0.93 tff(703,plain,
% 1.07/0.93 (~c0_1(a777)),
% 1.07/0.93 inference(unit_resolution,[status(thm)],[702, 691])).
% 1.07/0.93 tff(704,plain,
% 1.07/0.93 (((~hskp19) | c2_1(a777)) <=> ((~hskp19) | c2_1(a777))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(705,axiom,((~hskp19) | c2_1(a777)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause55')).
% 1.07/0.93 tff(706,plain,
% 1.07/0.93 ((~hskp19) | c2_1(a777)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[705, 704])).
% 1.07/0.93 tff(707,plain,
% 1.07/0.93 ((~hskp19) | c2_1(a777)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[706, 704])).
% 1.07/0.93 tff(708,plain,
% 1.07/0.93 ((~hskp19) | c2_1(a777)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[707, 704])).
% 1.07/0.93 tff(709,plain,
% 1.07/0.93 ((~hskp19) | c2_1(a777)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[708, 704])).
% 1.07/0.93 tff(710,plain,
% 1.07/0.93 ((~hskp19) | c2_1(a777)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[709, 704])).
% 1.07/0.93 tff(711,plain,
% 1.07/0.93 ((~hskp19) | c2_1(a777)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[710, 704])).
% 1.07/0.93 tff(712,plain,
% 1.07/0.93 ((~hskp19) | c2_1(a777)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[711, 704])).
% 1.07/0.93 tff(713,plain,
% 1.07/0.93 ((~hskp19) | c2_1(a777)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[712, 704])).
% 1.07/0.93 tff(714,plain,
% 1.07/0.93 (c2_1(a777)),
% 1.07/0.93 inference(unit_resolution,[status(thm)],[713, 691])).
% 1.07/0.93 tff(715,plain,
% 1.07/0.93 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a777) | c3_1(a777) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a777)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a777) | c3_1(a777) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a777)))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(716,plain,
% 1.07/0.93 ((hskp8 | (~ndr1_0) | c0_1(a777) | c3_1(a777) | (~c2_1(a777)) | c3_1(a732) | c0_1(a732) | c2_1(a732)) <=> (hskp8 | c0_1(a777) | c3_1(a777) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a777)))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(717,plain,
% 1.07/0.93 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a777) | c3_1(a777) | (~c2_1(a777)) | c3_1(a732) | c0_1(a732) | c2_1(a732))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a777) | c3_1(a777) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a777))))),
% 1.07/0.93 inference(monotonicity,[status(thm)],[716])).
% 1.07/0.93 tff(718,plain,
% 1.07/0.93 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a777) | c3_1(a777) | (~c2_1(a777)) | c3_1(a732) | c0_1(a732) | c2_1(a732))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a777) | c3_1(a777) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a777)))),
% 1.07/0.93 inference(transitivity,[status(thm)],[717, 715])).
% 1.07/0.93 tff(719,plain,
% 1.07/0.93 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a777) | c3_1(a777) | (~c2_1(a777)) | c3_1(a732) | c0_1(a732) | c2_1(a732))),
% 1.07/0.93 inference(quant_inst,[status(thm)],[])).
% 1.07/0.93 tff(720,plain,
% 1.07/0.93 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a777) | c3_1(a777) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a777))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[719, 718])).
% 1.07/0.93 tff(721,plain,
% 1.07/0.93 (hskp8),
% 1.07/0.93 inference(unit_resolution,[status(thm)],[720, 116, 714, 703, 697, 673, 672, 671, 670])).
% 1.07/0.93 tff(722,plain,
% 1.07/0.93 (((~hskp8) | (~c0_1(a744))) <=> ((~hskp8) | (~c0_1(a744)))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(723,plain,
% 1.07/0.93 (((~c0_1(a744)) | (~hskp8)) <=> ((~hskp8) | (~c0_1(a744)))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(724,axiom,((~c0_1(a744)) | (~hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause108')).
% 1.07/0.93 tff(725,plain,
% 1.07/0.93 ((~hskp8) | (~c0_1(a744))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[724, 723])).
% 1.07/0.93 tff(726,plain,
% 1.07/0.93 ((~hskp8) | (~c0_1(a744))),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[725, 722])).
% 1.07/0.93 tff(727,plain,
% 1.07/0.93 (~c0_1(a744)),
% 1.07/0.93 inference(unit_resolution,[status(thm)],[726, 721])).
% 1.07/0.93 tff(728,plain,
% 1.07/0.93 (((~hskp8) | c3_1(a744)) <=> ((~hskp8) | c3_1(a744))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(729,axiom,((~hskp8) | c3_1(a744)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause69')).
% 1.07/0.93 tff(730,plain,
% 1.07/0.93 ((~hskp8) | c3_1(a744)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[729, 728])).
% 1.07/0.93 tff(731,plain,
% 1.07/0.93 ((~hskp8) | c3_1(a744)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[730, 728])).
% 1.07/0.93 tff(732,plain,
% 1.07/0.93 ((~hskp8) | c3_1(a744)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[731, 728])).
% 1.07/0.93 tff(733,plain,
% 1.07/0.93 ((~hskp8) | c3_1(a744)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[732, 728])).
% 1.07/0.93 tff(734,plain,
% 1.07/0.93 ((~hskp8) | c3_1(a744)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[733, 728])).
% 1.07/0.93 tff(735,plain,
% 1.07/0.93 ((~hskp8) | c3_1(a744)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[734, 728])).
% 1.07/0.93 tff(736,plain,
% 1.07/0.93 ((~hskp8) | c3_1(a744)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[735, 728])).
% 1.07/0.93 tff(737,plain,
% 1.07/0.93 ((~hskp8) | c3_1(a744)),
% 1.07/0.93 inference(modus_ponens,[status(thm)],[736, 728])).
% 1.07/0.93 tff(738,plain,
% 1.07/0.93 (c3_1(a744)),
% 1.07/0.93 inference(unit_resolution,[status(thm)],[737, 721])).
% 1.07/0.93 tff(739,plain,
% 1.07/0.93 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp27 | hskp11 | c0_1(a744) | (~ndr1_0) | c2_1(a744) | (~c3_1(a744)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp27 | hskp11 | c0_1(a744) | (~ndr1_0) | c2_1(a744) | (~c3_1(a744)))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(740,plain,
% 1.07/0.93 ((hskp27 | hskp11 | (~ndr1_0) | c2_1(a744) | c0_1(a744) | (~c3_1(a744))) <=> (hskp27 | hskp11 | c0_1(a744) | (~ndr1_0) | c2_1(a744) | (~c3_1(a744)))),
% 1.07/0.93 inference(rewrite,[status(thm)],[])).
% 1.07/0.93 tff(741,plain,
% 1.07/0.93 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c2_1(a744) | c0_1(a744) | (~c3_1(a744)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp27 | hskp11 | c0_1(a744) | (~ndr1_0) | c2_1(a744) | (~c3_1(a744))))),
% 1.07/0.93 inference(monotonicity,[status(thm)],[740])).
% 1.07/0.93 tff(742,plain,
% 1.07/0.93 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c2_1(a744) | c0_1(a744) | (~c3_1(a744)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp27 | hskp11 | c0_1(a744) | (~ndr1_0) | c2_1(a744) | (~c3_1(a744)))),
% 1.07/0.93 inference(transitivity,[status(thm)],[741, 739])).
% 1.07/0.93 tff(743,plain,
% 1.07/0.93 ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c2_1(a744) | c0_1(a744) | (~c3_1(a744)))),
% 1.07/0.93 inference(quant_inst,[status(thm)],[])).
% 1.07/0.93 tff(744,plain,
% 1.07/0.93 ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp27 | hskp11 | c0_1(a744) | (~ndr1_0) | c2_1(a744) | (~c3_1(a744))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[743, 742])).
% 1.07/0.94 tff(745,plain,
% 1.07/0.94 (c2_1(a744)),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[744, 116, 605, 21, 738, 727, 660])).
% 1.07/0.94 tff(746,plain,
% 1.07/0.94 (((~hskp8) | (~c1_1(a744))) <=> ((~hskp8) | (~c1_1(a744)))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(747,plain,
% 1.07/0.94 (((~c1_1(a744)) | (~hskp8)) <=> ((~hskp8) | (~c1_1(a744)))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(748,axiom,((~c1_1(a744)) | (~hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause109')).
% 1.07/0.94 tff(749,plain,
% 1.07/0.94 ((~hskp8) | (~c1_1(a744))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[748, 747])).
% 1.07/0.94 tff(750,plain,
% 1.07/0.94 ((~hskp8) | (~c1_1(a744))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[749, 746])).
% 1.07/0.94 tff(751,plain,
% 1.07/0.94 (~c1_1(a744)),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[750, 721])).
% 1.07/0.94 tff(752,plain,
% 1.07/0.94 (((~hskp17) | (~c0_1(a766))) <=> ((~hskp17) | (~c0_1(a766)))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(753,plain,
% 1.07/0.94 (((~c0_1(a766)) | (~hskp17)) <=> ((~hskp17) | (~c0_1(a766)))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(754,axiom,((~c0_1(a766)) | (~hskp17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause93')).
% 1.07/0.94 tff(755,plain,
% 1.07/0.94 ((~hskp17) | (~c0_1(a766))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[754, 753])).
% 1.07/0.94 tff(756,plain,
% 1.07/0.94 ((~hskp17) | (~c0_1(a766))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[755, 752])).
% 1.07/0.94 tff(757,plain,
% 1.07/0.94 (~c0_1(a766)),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[756, 624])).
% 1.07/0.94 tff(758,plain,
% 1.07/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c0_1(a766) | c1_1(a744) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a766)) | (~c2_1(a766)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a766) | c1_1(a744) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a766)) | (~c2_1(a766)))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(759,plain,
% 1.07/0.94 (((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a766) | (~c3_1(a766)) | (~c2_1(a766))) <=> (c0_1(a766) | c1_1(a744) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a766)) | (~c2_1(a766)))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(760,plain,
% 1.07/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a766) | (~c3_1(a766)) | (~c2_1(a766)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c0_1(a766) | c1_1(a744) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a766)) | (~c2_1(a766))))),
% 1.07/0.94 inference(monotonicity,[status(thm)],[759])).
% 1.07/0.94 tff(761,plain,
% 1.07/0.94 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a766) | (~c3_1(a766)) | (~c2_1(a766)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a766) | c1_1(a744) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a766)) | (~c2_1(a766)))),
% 1.07/0.94 inference(transitivity,[status(thm)],[760, 758])).
% 1.07/0.94 tff(762,plain,
% 1.07/0.94 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a766) | (~c3_1(a766)) | (~c2_1(a766)))),
% 1.07/0.94 inference(quant_inst,[status(thm)],[])).
% 1.07/0.94 tff(763,plain,
% 1.07/0.94 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a766) | c1_1(a744) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a766)) | (~c2_1(a766))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[762, 761])).
% 1.07/0.94 tff(764,plain,
% 1.07/0.94 ($false),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[763, 116, 635, 738, 508, 507, 757, 751, 494, 745, 556, 650])).
% 1.07/0.94 tff(765,plain,(hskp27 | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a730) | hskp11 | c0_1(a732) | c2_1(a732) | c3_1(a732) | c1_1(a730) | (~c1_1(a741)) | c0_1(a741) | (~c2_1(a741))), inference(lemma,lemma(discharge,[]))).
% 1.07/0.94 tff(766,plain,
% 1.07/0.94 (hskp27),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[765, 483, 472, 555, 21, 594, 593, 592, 412, 168, 185, 240])).
% 1.07/0.94 tff(767,plain,
% 1.07/0.94 (((~hskp27) | c0_1(a750)) <=> ((~hskp27) | c0_1(a750))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(768,axiom,((~hskp27) | c0_1(a750)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause39')).
% 1.07/0.94 tff(769,plain,
% 1.07/0.94 ((~hskp27) | c0_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[768, 767])).
% 1.07/0.94 tff(770,plain,
% 1.07/0.94 ((~hskp27) | c0_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[769, 767])).
% 1.07/0.94 tff(771,plain,
% 1.07/0.94 ((~hskp27) | c0_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[770, 767])).
% 1.07/0.94 tff(772,plain,
% 1.07/0.94 ((~hskp27) | c0_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[771, 767])).
% 1.07/0.94 tff(773,plain,
% 1.07/0.94 ((~hskp27) | c0_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[772, 767])).
% 1.07/0.94 tff(774,plain,
% 1.07/0.94 ((~hskp27) | c0_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[773, 767])).
% 1.07/0.94 tff(775,plain,
% 1.07/0.94 ((~hskp27) | c0_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[774, 767])).
% 1.07/0.94 tff(776,plain,
% 1.07/0.94 ((~hskp27) | c0_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[775, 767])).
% 1.07/0.94 tff(777,plain,
% 1.07/0.94 (c0_1(a750)),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[776, 766])).
% 1.07/0.94 tff(778,plain,
% 1.07/0.94 (((~hskp27) | c2_1(a750)) <=> ((~hskp27) | c2_1(a750))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(779,axiom,((~hskp27) | c2_1(a750)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause41')).
% 1.07/0.94 tff(780,plain,
% 1.07/0.94 ((~hskp27) | c2_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[779, 778])).
% 1.07/0.94 tff(781,plain,
% 1.07/0.94 ((~hskp27) | c2_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[780, 778])).
% 1.07/0.94 tff(782,plain,
% 1.07/0.94 ((~hskp27) | c2_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[781, 778])).
% 1.07/0.94 tff(783,plain,
% 1.07/0.94 ((~hskp27) | c2_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[782, 778])).
% 1.07/0.94 tff(784,plain,
% 1.07/0.94 ((~hskp27) | c2_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[783, 778])).
% 1.07/0.94 tff(785,plain,
% 1.07/0.94 ((~hskp27) | c2_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[784, 778])).
% 1.07/0.94 tff(786,plain,
% 1.07/0.94 ((~hskp27) | c2_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[785, 778])).
% 1.07/0.94 tff(787,plain,
% 1.07/0.94 ((~hskp27) | c2_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[786, 778])).
% 1.07/0.94 tff(788,plain,
% 1.07/0.94 (c2_1(a750)),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[787, 766])).
% 1.07/0.94 tff(789,plain,
% 1.07/0.94 (((~hskp27) | c1_1(a750)) <=> ((~hskp27) | c1_1(a750))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(790,axiom,((~hskp27) | c1_1(a750)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause40')).
% 1.07/0.94 tff(791,plain,
% 1.07/0.94 ((~hskp27) | c1_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[790, 789])).
% 1.07/0.94 tff(792,plain,
% 1.07/0.94 ((~hskp27) | c1_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[791, 789])).
% 1.07/0.94 tff(793,plain,
% 1.07/0.94 ((~hskp27) | c1_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[792, 789])).
% 1.07/0.94 tff(794,plain,
% 1.07/0.94 ((~hskp27) | c1_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[793, 789])).
% 1.07/0.94 tff(795,plain,
% 1.07/0.94 ((~hskp27) | c1_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[794, 789])).
% 1.07/0.94 tff(796,plain,
% 1.07/0.94 ((~hskp27) | c1_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[795, 789])).
% 1.07/0.94 tff(797,plain,
% 1.07/0.94 ((~hskp27) | c1_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[796, 789])).
% 1.07/0.94 tff(798,plain,
% 1.07/0.94 ((~hskp27) | c1_1(a750)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[797, 789])).
% 1.07/0.94 tff(799,plain,
% 1.07/0.94 (c1_1(a750)),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[798, 766])).
% 1.07/0.94 tff(800,plain,
% 1.07/0.94 (^[V: $i, U: $i] : refl((hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V))) <=> (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V))))),
% 1.07/0.94 inference(bind,[status(th)],[])).
% 1.07/0.94 tff(801,plain,
% 1.07/0.94 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))),
% 1.07/0.94 inference(quant_intro,[status(thm)],[800])).
% 1.07/0.94 tff(802,plain,
% 1.07/0.94 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(803,plain,
% 1.07/0.94 (^[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)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c3_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V))) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c3_1(V)) | hskp1) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V))) | hskp1))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V))) | hskp1) <=> (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c3_1(V)) | hskp1) <=> (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))))),
% 1.07/0.94 inference(bind,[status(th)],[])).
% 1.07/0.94 tff(804,plain,
% 1.07/0.94 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c3_1(V)) | hskp1) <=> ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))),
% 1.07/0.94 inference(quant_intro,[status(thm)],[803])).
% 1.07/0.94 tff(805,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | c3_1(V)) | hskp1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause167')).
% 1.07/0.94 tff(806,plain,
% 1.07/0.94 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[805, 804])).
% 1.07/0.94 tff(807,plain,
% 1.07/0.94 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[806, 802])).
% 1.07/0.94 tff(808,plain,(
% 1.07/0.94 ![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))),
% 1.07/0.94 inference(skolemize,[status(sab)],[807])).
% 1.07/0.94 tff(809,plain,
% 1.07/0.94 (![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[808, 801])).
% 1.07/0.94 tff(810,assumption,(c0_1(a750)), introduced(assumption)).
% 1.07/0.94 tff(811,plain,
% 1.07/0.94 (^[V: $i, U: $i] : refl((hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V))) <=> (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V))))),
% 1.07/0.94 inference(bind,[status(th)],[])).
% 1.07/0.94 tff(812,plain,
% 1.07/0.94 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))),
% 1.07/0.94 inference(quant_intro,[status(thm)],[811])).
% 1.07/0.94 tff(813,plain,
% 1.07/0.94 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(814,plain,
% 1.07/0.94 (^[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))) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c1_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c1_1(V))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c1_1(V))) | c0_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))) | (~c2_1(V))) | c0_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))) | (~c2_1(V))) | c0_1(V)) | hskp16) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V))) | hskp16))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V))) | hskp16) <=> (hskp16 | (~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))) | (~c2_1(V))) | c0_1(V)) | hskp16) <=> (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))))),
% 1.07/0.94 inference(bind,[status(th)],[])).
% 1.07/0.94 tff(815,plain,
% 1.07/0.94 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(V)) | hskp16) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))),
% 1.07/0.94 inference(quant_intro,[status(thm)],[814])).
% 1.07/0.94 tff(816,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(V)) | hskp16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause166')).
% 1.07/0.94 tff(817,plain,
% 1.07/0.94 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[816, 815])).
% 1.07/0.94 tff(818,plain,
% 1.07/0.94 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[817, 813])).
% 1.07/0.94 tff(819,plain,(
% 1.07/0.94 ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))),
% 1.07/0.94 inference(skolemize,[status(sab)],[818])).
% 1.07/0.94 tff(820,plain,
% 1.07/0.94 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[819, 812])).
% 1.07/0.94 tff(821,assumption,(hskp25), introduced(assumption)).
% 1.07/0.94 tff(822,plain,
% 1.07/0.94 (((~hskp25) | c3_1(a729)) <=> ((~hskp25) | c3_1(a729))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(823,axiom,((~hskp25) | c3_1(a729)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause47')).
% 1.07/0.94 tff(824,plain,
% 1.07/0.94 ((~hskp25) | c3_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[823, 822])).
% 1.07/0.94 tff(825,plain,
% 1.07/0.94 ((~hskp25) | c3_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[824, 822])).
% 1.07/0.94 tff(826,plain,
% 1.07/0.94 ((~hskp25) | c3_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[825, 822])).
% 1.07/0.94 tff(827,plain,
% 1.07/0.94 ((~hskp25) | c3_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[826, 822])).
% 1.07/0.94 tff(828,plain,
% 1.07/0.94 ((~hskp25) | c3_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[827, 822])).
% 1.07/0.94 tff(829,plain,
% 1.07/0.94 ((~hskp25) | c3_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[828, 822])).
% 1.07/0.94 tff(830,plain,
% 1.07/0.94 ((~hskp25) | c3_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[829, 822])).
% 1.07/0.94 tff(831,plain,
% 1.07/0.94 ((~hskp25) | c3_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[830, 822])).
% 1.07/0.94 tff(832,plain,
% 1.07/0.94 (c3_1(a729)),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[831, 821])).
% 1.07/0.94 tff(833,plain,
% 1.07/0.94 (((~hskp25) | c2_1(a729)) <=> ((~hskp25) | c2_1(a729))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(834,axiom,((~hskp25) | c2_1(a729)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause46')).
% 1.07/0.94 tff(835,plain,
% 1.07/0.94 ((~hskp25) | c2_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[834, 833])).
% 1.07/0.94 tff(836,plain,
% 1.07/0.94 ((~hskp25) | c2_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[835, 833])).
% 1.07/0.94 tff(837,plain,
% 1.07/0.94 ((~hskp25) | c2_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[836, 833])).
% 1.07/0.94 tff(838,plain,
% 1.07/0.94 ((~hskp25) | c2_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[837, 833])).
% 1.07/0.94 tff(839,plain,
% 1.07/0.94 ((~hskp25) | c2_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[838, 833])).
% 1.07/0.94 tff(840,plain,
% 1.07/0.94 ((~hskp25) | c2_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[839, 833])).
% 1.07/0.94 tff(841,plain,
% 1.07/0.94 ((~hskp25) | c2_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[840, 833])).
% 1.07/0.94 tff(842,plain,
% 1.07/0.94 ((~hskp25) | c2_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[841, 833])).
% 1.07/0.94 tff(843,plain,
% 1.07/0.94 (c2_1(a729)),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[842, 821])).
% 1.07/0.94 tff(844,plain,
% 1.07/0.94 (((~hskp25) | c0_1(a729)) <=> ((~hskp25) | c0_1(a729))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(845,axiom,((~hskp25) | c0_1(a729)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause45')).
% 1.07/0.94 tff(846,plain,
% 1.07/0.94 ((~hskp25) | c0_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[845, 844])).
% 1.07/0.94 tff(847,plain,
% 1.07/0.94 ((~hskp25) | c0_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[846, 844])).
% 1.07/0.94 tff(848,plain,
% 1.07/0.94 ((~hskp25) | c0_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[847, 844])).
% 1.07/0.94 tff(849,plain,
% 1.07/0.94 ((~hskp25) | c0_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[848, 844])).
% 1.07/0.94 tff(850,plain,
% 1.07/0.94 ((~hskp25) | c0_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[849, 844])).
% 1.07/0.94 tff(851,plain,
% 1.07/0.94 ((~hskp25) | c0_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[850, 844])).
% 1.07/0.94 tff(852,plain,
% 1.07/0.94 ((~hskp25) | c0_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[851, 844])).
% 1.07/0.94 tff(853,plain,
% 1.07/0.94 ((~hskp25) | c0_1(a729)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[852, 844])).
% 1.07/0.94 tff(854,plain,
% 1.07/0.94 (c0_1(a729)),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[853, 821])).
% 1.07/0.94 tff(855,plain,
% 1.07/0.94 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(856,plain,
% 1.07/0.94 ((hskp16 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741))) <=> (hskp16 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(857,plain,
% 1.07/0.94 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729))))),
% 1.07/0.94 inference(monotonicity,[status(thm)],[856])).
% 1.07/0.94 tff(858,plain,
% 1.07/0.94 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))),
% 1.07/0.94 inference(transitivity,[status(thm)],[857, 855])).
% 1.07/0.94 tff(859,plain,
% 1.07/0.94 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741)))),
% 1.07/0.94 inference(quant_inst,[status(thm)],[])).
% 1.07/0.94 tff(860,plain,
% 1.07/0.94 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[859, 858])).
% 1.07/0.94 tff(861,plain,
% 1.07/0.94 (hskp16),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[860, 116, 854, 843, 832, 231, 198, 820, 606])).
% 1.07/0.94 tff(862,plain,
% 1.07/0.94 (((~hskp16) | (~c3_1(a764))) <=> ((~hskp16) | (~c3_1(a764)))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(863,plain,
% 1.07/0.94 (((~c3_1(a764)) | (~hskp16)) <=> ((~hskp16) | (~c3_1(a764)))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(864,axiom,((~c3_1(a764)) | (~hskp16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause94')).
% 1.07/0.94 tff(865,plain,
% 1.07/0.94 ((~hskp16) | (~c3_1(a764))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[864, 863])).
% 1.07/0.94 tff(866,plain,
% 1.07/0.94 ((~hskp16) | (~c3_1(a764))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[865, 862])).
% 1.07/0.94 tff(867,plain,
% 1.07/0.94 (~c3_1(a764)),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[866, 861])).
% 1.07/0.94 tff(868,plain,
% 1.07/0.94 (((~hskp16) | c2_1(a764)) <=> ((~hskp16) | c2_1(a764))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(869,axiom,((~hskp16) | c2_1(a764)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause60')).
% 1.07/0.94 tff(870,plain,
% 1.07/0.94 ((~hskp16) | c2_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[869, 868])).
% 1.07/0.94 tff(871,plain,
% 1.07/0.94 ((~hskp16) | c2_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[870, 868])).
% 1.07/0.94 tff(872,plain,
% 1.07/0.94 ((~hskp16) | c2_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[871, 868])).
% 1.07/0.94 tff(873,plain,
% 1.07/0.94 ((~hskp16) | c2_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[872, 868])).
% 1.07/0.94 tff(874,plain,
% 1.07/0.94 ((~hskp16) | c2_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[873, 868])).
% 1.07/0.94 tff(875,plain,
% 1.07/0.94 ((~hskp16) | c2_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[874, 868])).
% 1.07/0.94 tff(876,plain,
% 1.07/0.94 ((~hskp16) | c2_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[875, 868])).
% 1.07/0.94 tff(877,plain,
% 1.07/0.94 ((~hskp16) | c2_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[876, 868])).
% 1.07/0.94 tff(878,plain,
% 1.07/0.94 (c2_1(a764)),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[877, 861])).
% 1.07/0.94 tff(879,assumption,(c2_1(a750)), introduced(assumption)).
% 1.07/0.94 tff(880,assumption,(c1_1(a750)), introduced(assumption)).
% 1.07/0.94 tff(881,plain,
% 1.07/0.94 (((~hskp16) | c0_1(a764)) <=> ((~hskp16) | c0_1(a764))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(882,axiom,((~hskp16) | c0_1(a764)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause59')).
% 1.07/0.94 tff(883,plain,
% 1.07/0.94 ((~hskp16) | c0_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[882, 881])).
% 1.07/0.94 tff(884,plain,
% 1.07/0.94 ((~hskp16) | c0_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[883, 881])).
% 1.07/0.94 tff(885,plain,
% 1.07/0.94 ((~hskp16) | c0_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[884, 881])).
% 1.07/0.94 tff(886,plain,
% 1.07/0.94 ((~hskp16) | c0_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[885, 881])).
% 1.07/0.94 tff(887,plain,
% 1.07/0.94 ((~hskp16) | c0_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[886, 881])).
% 1.07/0.94 tff(888,plain,
% 1.07/0.94 ((~hskp16) | c0_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[887, 881])).
% 1.07/0.94 tff(889,plain,
% 1.07/0.94 ((~hskp16) | c0_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[888, 881])).
% 1.07/0.94 tff(890,plain,
% 1.07/0.94 ((~hskp16) | c0_1(a764)),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[889, 881])).
% 1.07/0.94 tff(891,plain,
% 1.07/0.94 (c0_1(a764)),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[890, 861])).
% 1.07/0.94 tff(892,plain,
% 1.07/0.94 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | c3_1(a764) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a764)) | (~c1_1(a764)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | c3_1(a764) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a764)) | (~c1_1(a764)))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(893,plain,
% 1.07/0.94 ((hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a764) | (~c1_1(a764)) | (~c0_1(a764))) <=> (hskp1 | c3_1(a764) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a764)) | (~c1_1(a764)))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(894,plain,
% 1.07/0.94 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a764) | (~c1_1(a764)) | (~c0_1(a764)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | c3_1(a764) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a764)) | (~c1_1(a764))))),
% 1.07/0.94 inference(monotonicity,[status(thm)],[893])).
% 1.07/0.94 tff(895,plain,
% 1.07/0.94 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a764) | (~c1_1(a764)) | (~c0_1(a764)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | c3_1(a764) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a764)) | (~c1_1(a764)))),
% 1.07/0.94 inference(transitivity,[status(thm)],[894, 892])).
% 1.07/0.94 tff(896,plain,
% 1.07/0.94 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a764) | (~c1_1(a764)) | (~c0_1(a764)))),
% 1.07/0.94 inference(quant_inst,[status(thm)],[])).
% 1.07/0.94 tff(897,plain,
% 1.07/0.94 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | c3_1(a764) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a764)) | (~c1_1(a764))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[896, 895])).
% 1.07/0.94 tff(898,plain,
% 1.07/0.94 (~c1_1(a764)),
% 1.07/0.94 inference(unit_resolution,[status(thm)],[897, 116, 279, 854, 843, 832, 891, 867, 809])).
% 1.07/0.94 tff(899,assumption,(~c1_1(a764)), introduced(assumption)).
% 1.07/0.94 tff(900,plain,
% 1.07/0.94 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W))))),
% 1.07/0.94 inference(bind,[status(th)],[])).
% 1.07/0.94 tff(901,plain,
% 1.07/0.94 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))),
% 1.07/0.94 inference(quant_intro,[status(thm)],[900])).
% 1.07/0.94 tff(902,plain,
% 1.07/0.94 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))),
% 1.07/0.94 inference(rewrite,[status(thm)],[])).
% 1.07/0.94 tff(903,plain,
% 1.07/0.94 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) <=> ((~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> (((~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c2_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W))) | c2_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(W))) | c2_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c2_1(W)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c2_1(W))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c2_1(W))) | c3_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c0_1(V)) | (~c2_1(W))) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c2_1(W)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c2_1(W))))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c2_1(W))) | c1_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | (~c2_1(W))) | c1_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W)))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W))))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W)) | c3_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W))) | c3_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | (~c2_1(W))) | c3_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))))),
% 1.07/0.94 inference(bind,[status(th)],[])).
% 1.07/0.94 tff(904,plain,
% 1.07/0.94 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W)) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))),
% 1.07/0.94 inference(quant_intro,[status(thm)],[903])).
% 1.07/0.94 tff(905,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(W))) | c2_1(V)) | c3_1(V)) | c1_1(W)) | c3_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause173')).
% 1.07/0.94 tff(906,plain,
% 1.07/0.94 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[905, 904])).
% 1.07/0.94 tff(907,plain,
% 1.07/0.94 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))),
% 1.07/0.94 inference(modus_ponens,[status(thm)],[906, 902])).
% 1.07/0.94 tff(908,plain,(
% 1.07/0.94 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))),
% 1.07/0.94 inference(skolemize,[status(sab)],[907])).
% 1.07/0.94 tff(909,plain,
% 1.07/0.94 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[908, 901])).
% 1.07/0.95 tff(910,assumption,(~c3_1(a764)), introduced(assumption)).
% 1.07/0.95 tff(911,assumption,(hskp24), introduced(assumption)).
% 1.07/0.95 tff(912,plain,
% 1.07/0.95 (((~hskp24) | (~c3_1(a802))) <=> ((~hskp24) | (~c3_1(a802)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(913,plain,
% 1.07/0.95 (((~c3_1(a802)) | (~hskp24)) <=> ((~hskp24) | (~c3_1(a802)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(914,axiom,((~c3_1(a802)) | (~hskp24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause82')).
% 1.07/0.95 tff(915,plain,
% 1.07/0.95 ((~hskp24) | (~c3_1(a802))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[914, 913])).
% 1.07/0.95 tff(916,plain,
% 1.07/0.95 ((~hskp24) | (~c3_1(a802))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[915, 912])).
% 1.07/0.95 tff(917,plain,
% 1.07/0.95 (~c3_1(a802)),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[916, 911])).
% 1.07/0.95 tff(918,plain,
% 1.07/0.95 (((~hskp24) | (~c2_1(a802))) <=> ((~hskp24) | (~c2_1(a802)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(919,plain,
% 1.07/0.95 (((~c2_1(a802)) | (~hskp24)) <=> ((~hskp24) | (~c2_1(a802)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(920,axiom,((~c2_1(a802)) | (~hskp24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause81')).
% 1.07/0.95 tff(921,plain,
% 1.07/0.95 ((~hskp24) | (~c2_1(a802))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[920, 919])).
% 1.07/0.95 tff(922,plain,
% 1.07/0.95 ((~hskp24) | (~c2_1(a802))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[921, 918])).
% 1.07/0.95 tff(923,plain,
% 1.07/0.95 (~c2_1(a802)),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[922, 911])).
% 1.07/0.95 tff(924,assumption,(c2_1(a764)), introduced(assumption)).
% 1.07/0.95 tff(925,plain,
% 1.07/0.95 (((~hskp24) | c0_1(a802)) <=> ((~hskp24) | c0_1(a802))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(926,axiom,((~hskp24) | c0_1(a802)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause48')).
% 1.07/0.95 tff(927,plain,
% 1.07/0.95 ((~hskp24) | c0_1(a802)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[926, 925])).
% 1.07/0.95 tff(928,plain,
% 1.07/0.95 ((~hskp24) | c0_1(a802)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[927, 925])).
% 1.07/0.95 tff(929,plain,
% 1.07/0.95 ((~hskp24) | c0_1(a802)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[928, 925])).
% 1.07/0.95 tff(930,plain,
% 1.07/0.95 ((~hskp24) | c0_1(a802)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[929, 925])).
% 1.07/0.95 tff(931,plain,
% 1.07/0.95 ((~hskp24) | c0_1(a802)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[930, 925])).
% 1.07/0.95 tff(932,plain,
% 1.07/0.95 ((~hskp24) | c0_1(a802)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[931, 925])).
% 1.07/0.95 tff(933,plain,
% 1.07/0.95 ((~hskp24) | c0_1(a802)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[932, 925])).
% 1.07/0.95 tff(934,plain,
% 1.07/0.95 ((~hskp24) | c0_1(a802)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[933, 925])).
% 1.07/0.95 tff(935,plain,
% 1.07/0.95 (c0_1(a802)),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[934, 911])).
% 1.07/0.95 tff(936,plain,
% 1.07/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | (c2_1(a802) | c3_1(a802) | c3_1(a764) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a764) | (~c2_1(a764)) | (~c0_1(a802)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | c2_1(a802) | c3_1(a802) | c3_1(a764) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a764) | (~c2_1(a764)) | (~c0_1(a802)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(937,plain,
% 1.07/0.95 (((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a802) | c2_1(a802) | (~c0_1(a802)) | c1_1(a764) | c3_1(a764) | (~c2_1(a764))) <=> (c2_1(a802) | c3_1(a802) | c3_1(a764) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a764) | (~c2_1(a764)) | (~c0_1(a802)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(938,plain,
% 1.07/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a802) | c2_1(a802) | (~c0_1(a802)) | c1_1(a764) | c3_1(a764) | (~c2_1(a764)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | (c2_1(a802) | c3_1(a802) | c3_1(a764) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a764) | (~c2_1(a764)) | (~c0_1(a802))))),
% 1.07/0.95 inference(monotonicity,[status(thm)],[937])).
% 1.07/0.95 tff(939,plain,
% 1.07/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a802) | c2_1(a802) | (~c0_1(a802)) | c1_1(a764) | c3_1(a764) | (~c2_1(a764)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | c2_1(a802) | c3_1(a802) | c3_1(a764) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a764) | (~c2_1(a764)) | (~c0_1(a802)))),
% 1.07/0.95 inference(transitivity,[status(thm)],[938, 936])).
% 1.07/0.95 tff(940,plain,
% 1.07/0.95 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a802) | c2_1(a802) | (~c0_1(a802)) | c1_1(a764) | c3_1(a764) | (~c2_1(a764)))),
% 1.07/0.95 inference(quant_inst,[status(thm)],[])).
% 1.07/0.95 tff(941,plain,
% 1.07/0.95 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | c2_1(a802) | c3_1(a802) | c3_1(a764) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a764) | (~c2_1(a764)) | (~c0_1(a802))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[940, 939])).
% 1.07/0.95 tff(942,plain,
% 1.07/0.95 ($false),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[941, 116, 810, 880, 879, 935, 924, 923, 917, 910, 909, 899])).
% 1.07/0.95 tff(943,plain,((~hskp24) | (~c0_1(a750)) | (~c1_1(a750)) | (~c2_1(a750)) | (~c2_1(a764)) | c3_1(a764) | c1_1(a764)), inference(lemma,lemma(discharge,[]))).
% 1.07/0.95 tff(944,plain,
% 1.07/0.95 (~hskp24),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[943, 898, 880, 879, 878, 867, 810])).
% 1.07/0.95 tff(945,plain,
% 1.07/0.95 (((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp21 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))) <=> ((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | hskp21 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(946,plain,
% 1.07/0.95 ((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp21 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))),
% 1.07/0.95 inference(quant_inst,[status(thm)],[])).
% 1.07/0.95 tff(947,plain,
% 1.07/0.95 ((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | hskp21 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[946, 945])).
% 1.07/0.95 tff(948,plain,
% 1.07/0.95 (hskp21),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[947, 116, 854, 843, 832, 506])).
% 1.07/0.95 tff(949,plain,
% 1.07/0.95 (~c2_1(a793)),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[521, 948])).
% 1.07/0.95 tff(950,plain,
% 1.07/0.95 (c3_1(a793)),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[534, 948])).
% 1.07/0.95 tff(951,plain,
% 1.07/0.95 (c0_1(a793)),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[545, 948])).
% 1.07/0.95 tff(952,assumption,(hskp13), introduced(assumption)).
% 1.07/0.95 tff(953,plain,
% 1.07/0.95 (((~hskp13) | (~c1_1(a759))) <=> ((~hskp13) | (~c1_1(a759)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(954,plain,
% 1.07/0.95 (((~c1_1(a759)) | (~hskp13)) <=> ((~hskp13) | (~c1_1(a759)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(955,axiom,((~c1_1(a759)) | (~hskp13)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause98')).
% 1.07/0.95 tff(956,plain,
% 1.07/0.95 ((~hskp13) | (~c1_1(a759))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[955, 954])).
% 1.07/0.95 tff(957,plain,
% 1.07/0.95 ((~hskp13) | (~c1_1(a759))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[956, 953])).
% 1.07/0.95 tff(958,plain,
% 1.07/0.95 (~c1_1(a759)),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[957, 952])).
% 1.07/0.95 tff(959,assumption,(~c2_1(a793)), introduced(assumption)).
% 1.07/0.95 tff(960,plain,
% 1.07/0.95 (((~hskp13) | c3_1(a759)) <=> ((~hskp13) | c3_1(a759))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(961,axiom,((~hskp13) | c3_1(a759)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause65')).
% 1.07/0.95 tff(962,plain,
% 1.07/0.95 ((~hskp13) | c3_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[961, 960])).
% 1.07/0.95 tff(963,plain,
% 1.07/0.95 ((~hskp13) | c3_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[962, 960])).
% 1.07/0.95 tff(964,plain,
% 1.07/0.95 ((~hskp13) | c3_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[963, 960])).
% 1.07/0.95 tff(965,plain,
% 1.07/0.95 ((~hskp13) | c3_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[964, 960])).
% 1.07/0.95 tff(966,plain,
% 1.07/0.95 ((~hskp13) | c3_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[965, 960])).
% 1.07/0.95 tff(967,plain,
% 1.07/0.95 ((~hskp13) | c3_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[966, 960])).
% 1.07/0.95 tff(968,plain,
% 1.07/0.95 ((~hskp13) | c3_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[967, 960])).
% 1.07/0.95 tff(969,plain,
% 1.07/0.95 ((~hskp13) | c3_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[968, 960])).
% 1.07/0.95 tff(970,plain,
% 1.07/0.95 (c3_1(a759)),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[969, 952])).
% 1.07/0.95 tff(971,plain,
% 1.07/0.95 (((~hskp13) | c2_1(a759)) <=> ((~hskp13) | c2_1(a759))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(972,axiom,((~hskp13) | c2_1(a759)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause64')).
% 1.07/0.95 tff(973,plain,
% 1.07/0.95 ((~hskp13) | c2_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[972, 971])).
% 1.07/0.95 tff(974,plain,
% 1.07/0.95 ((~hskp13) | c2_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[973, 971])).
% 1.07/0.95 tff(975,plain,
% 1.07/0.95 ((~hskp13) | c2_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[974, 971])).
% 1.07/0.95 tff(976,plain,
% 1.07/0.95 ((~hskp13) | c2_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[975, 971])).
% 1.07/0.95 tff(977,plain,
% 1.07/0.95 ((~hskp13) | c2_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[976, 971])).
% 1.07/0.95 tff(978,plain,
% 1.07/0.95 ((~hskp13) | c2_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[977, 971])).
% 1.07/0.95 tff(979,plain,
% 1.07/0.95 ((~hskp13) | c2_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[978, 971])).
% 1.07/0.95 tff(980,plain,
% 1.07/0.95 ((~hskp13) | c2_1(a759)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[979, 971])).
% 1.07/0.95 tff(981,plain,
% 1.07/0.95 (c2_1(a759)),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[980, 952])).
% 1.07/0.95 tff(982,assumption,(c3_1(a793)), introduced(assumption)).
% 1.07/0.95 tff(983,assumption,(c0_1(a793)), introduced(assumption)).
% 1.07/0.95 tff(984,plain,
% 1.07/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a793) | c1_1(a759) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c2_1(a759)) | (~c3_1(a759)) | (~c3_1(a793)) | (~c0_1(a793)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c1_1(a759) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c2_1(a759)) | (~c3_1(a759)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(985,plain,
% 1.07/0.95 (((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741))) <=> (c2_1(a793) | c1_1(a759) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c2_1(a759)) | (~c3_1(a759)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(986,plain,
% 1.07/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a793) | c1_1(a759) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c2_1(a759)) | (~c3_1(a759)) | (~c3_1(a793)) | (~c0_1(a793))))),
% 1.07/0.95 inference(monotonicity,[status(thm)],[985])).
% 1.07/0.95 tff(987,plain,
% 1.07/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c1_1(a759) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c2_1(a759)) | (~c3_1(a759)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.07/0.95 inference(transitivity,[status(thm)],[986, 984])).
% 1.07/0.95 tff(988,plain,
% 1.07/0.95 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741)))),
% 1.07/0.95 inference(quant_inst,[status(thm)],[])).
% 1.07/0.95 tff(989,plain,
% 1.07/0.95 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c1_1(a759) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c2_1(a759)) | (~c3_1(a759)) | (~c3_1(a793)) | (~c0_1(a793))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[988, 987])).
% 1.07/0.95 tff(990,plain,
% 1.07/0.95 ($false),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[989, 116, 983, 982, 981, 970, 199, 959, 958, 198, 494, 606])).
% 1.07/0.95 tff(991,plain,((~hskp13) | (~c0_1(a793)) | (~c3_1(a793)) | (~c3_1(a741)) | c2_1(a793) | c0_1(a741) | (~c2_1(a741))), inference(lemma,lemma(discharge,[]))).
% 1.07/0.95 tff(992,plain,
% 1.07/0.95 (~hskp13),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[991, 951, 950, 199, 949, 198, 606])).
% 1.07/0.95 tff(993,plain,
% 1.07/0.95 (hskp23),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[114, 992, 944])).
% 1.07/0.95 tff(994,plain,
% 1.07/0.95 (((~hskp23) | (~c3_1(a798))) <=> ((~hskp23) | (~c3_1(a798)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(995,plain,
% 1.07/0.95 (((~c3_1(a798)) | (~hskp23)) <=> ((~hskp23) | (~c3_1(a798)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(996,axiom,((~c3_1(a798)) | (~hskp23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause83')).
% 1.07/0.95 tff(997,plain,
% 1.07/0.95 ((~hskp23) | (~c3_1(a798))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[996, 995])).
% 1.07/0.95 tff(998,plain,
% 1.07/0.95 ((~hskp23) | (~c3_1(a798))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[997, 994])).
% 1.07/0.95 tff(999,plain,
% 1.07/0.95 (~c3_1(a798)),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[998, 993])).
% 1.07/0.95 tff(1000,plain,
% 1.07/0.95 (((~hskp23) | c1_1(a798)) <=> ((~hskp23) | c1_1(a798))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(1001,axiom,((~hskp23) | c1_1(a798)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause50')).
% 1.07/0.95 tff(1002,plain,
% 1.07/0.95 ((~hskp23) | c1_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1001, 1000])).
% 1.07/0.95 tff(1003,plain,
% 1.07/0.95 ((~hskp23) | c1_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1002, 1000])).
% 1.07/0.95 tff(1004,plain,
% 1.07/0.95 ((~hskp23) | c1_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1003, 1000])).
% 1.07/0.95 tff(1005,plain,
% 1.07/0.95 ((~hskp23) | c1_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1004, 1000])).
% 1.07/0.95 tff(1006,plain,
% 1.07/0.95 ((~hskp23) | c1_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1005, 1000])).
% 1.07/0.95 tff(1007,plain,
% 1.07/0.95 ((~hskp23) | c1_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1006, 1000])).
% 1.07/0.95 tff(1008,plain,
% 1.07/0.95 ((~hskp23) | c1_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1007, 1000])).
% 1.07/0.95 tff(1009,plain,
% 1.07/0.95 ((~hskp23) | c1_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1008, 1000])).
% 1.07/0.95 tff(1010,plain,
% 1.07/0.95 (c1_1(a798)),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[1009, 993])).
% 1.07/0.95 tff(1011,plain,
% 1.07/0.95 (((~hskp23) | c0_1(a798)) <=> ((~hskp23) | c0_1(a798))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(1012,axiom,((~hskp23) | c0_1(a798)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause49')).
% 1.07/0.95 tff(1013,plain,
% 1.07/0.95 ((~hskp23) | c0_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1012, 1011])).
% 1.07/0.95 tff(1014,plain,
% 1.07/0.95 ((~hskp23) | c0_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1013, 1011])).
% 1.07/0.95 tff(1015,plain,
% 1.07/0.95 ((~hskp23) | c0_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1014, 1011])).
% 1.07/0.95 tff(1016,plain,
% 1.07/0.95 ((~hskp23) | c0_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1015, 1011])).
% 1.07/0.95 tff(1017,plain,
% 1.07/0.95 ((~hskp23) | c0_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1016, 1011])).
% 1.07/0.95 tff(1018,plain,
% 1.07/0.95 ((~hskp23) | c0_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1017, 1011])).
% 1.07/0.95 tff(1019,plain,
% 1.07/0.95 ((~hskp23) | c0_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1018, 1011])).
% 1.07/0.95 tff(1020,plain,
% 1.07/0.95 ((~hskp23) | c0_1(a798)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1019, 1011])).
% 1.07/0.95 tff(1021,plain,
% 1.07/0.95 (c0_1(a798)),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[1020, 993])).
% 1.07/0.95 tff(1022,plain,
% 1.07/0.95 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | c3_1(a798) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a798)) | (~c1_1(a798)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | c3_1(a798) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a798)) | (~c1_1(a798)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(1023,plain,
% 1.07/0.95 ((hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a798) | (~c1_1(a798)) | (~c0_1(a798))) <=> (hskp1 | c3_1(a798) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a798)) | (~c1_1(a798)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(1024,plain,
% 1.07/0.95 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a798) | (~c1_1(a798)) | (~c0_1(a798)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | c3_1(a798) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a798)) | (~c1_1(a798))))),
% 1.07/0.95 inference(monotonicity,[status(thm)],[1023])).
% 1.07/0.95 tff(1025,plain,
% 1.07/0.95 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a798) | (~c1_1(a798)) | (~c0_1(a798)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | c3_1(a798) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a798)) | (~c1_1(a798)))),
% 1.07/0.95 inference(transitivity,[status(thm)],[1024, 1022])).
% 1.07/0.95 tff(1026,plain,
% 1.07/0.95 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a798) | (~c1_1(a798)) | (~c0_1(a798)))),
% 1.07/0.95 inference(quant_inst,[status(thm)],[])).
% 1.07/0.95 tff(1027,plain,
% 1.07/0.95 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | c3_1(a798) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a798)) | (~c1_1(a798))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1026, 1025])).
% 1.07/0.95 tff(1028,plain,
% 1.07/0.95 ($false),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[1027, 116, 279, 854, 843, 832, 1021, 1010, 999, 809])).
% 1.07/0.95 tff(1029,plain,((~hskp25) | hskp1 | (~c3_1(a741)) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a750)) | (~c2_1(a750)) | (~c0_1(a750)) | (~c1_1(a741))), inference(lemma,lemma(discharge,[]))).
% 1.07/0.95 tff(1030,plain,
% 1.07/0.95 (~hskp25),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[1029, 142, 179, 185, 240, 799, 788, 777, 168])).
% 1.07/0.95 tff(1031,plain,
% 1.07/0.95 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | c1_1(a734) | c0_1(a734) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a734))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c1_1(a734) | c0_1(a734) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a734))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(1032,plain,
% 1.07/0.95 ((hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a734) | c0_1(a734) | c2_1(a734)) <=> (hskp25 | c1_1(a734) | c0_1(a734) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a734))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(1033,plain,
% 1.07/0.95 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a734) | c0_1(a734) | c2_1(a734))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | c1_1(a734) | c0_1(a734) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a734)))),
% 1.07/0.95 inference(monotonicity,[status(thm)],[1032])).
% 1.07/0.95 tff(1034,plain,
% 1.07/0.95 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a734) | c0_1(a734) | c2_1(a734))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c1_1(a734) | c0_1(a734) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a734))),
% 1.07/0.95 inference(transitivity,[status(thm)],[1033, 1031])).
% 1.07/0.95 tff(1035,plain,
% 1.07/0.95 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a734) | c0_1(a734) | c2_1(a734))),
% 1.07/0.95 inference(quant_inst,[status(thm)],[])).
% 1.07/0.95 tff(1036,plain,
% 1.07/0.95 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c1_1(a734) | c0_1(a734) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a734)),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1035, 1034])).
% 1.07/0.95 tff(1037,plain,
% 1.07/0.95 (hskp25 | c2_1(a734)),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[1036, 116, 44, 483, 472, 22, 412, 20])).
% 1.07/0.95 tff(1038,plain,
% 1.07/0.95 (c2_1(a734)),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[1037, 1030])).
% 1.07/0.95 tff(1039,plain,
% 1.07/0.95 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W)))),
% 1.07/0.95 inference(bind,[status(th)],[])).
% 1.07/0.95 tff(1040,plain,
% 1.07/0.95 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_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)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.07/0.95 inference(quant_intro,[status(thm)],[1039])).
% 1.07/0.95 tff(1041,plain,
% 1.07/0.95 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_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)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(1042,plain,
% 1.07/0.95 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) <=> ((~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> (((~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V))) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | c0_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) | c0_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c0_1(W))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c0_1(W)))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c0_1(W)) | c1_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c1_1(W) | c0_1(W))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c1_1(W) | c0_1(W)))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) | c2_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c1_1(W) | c0_1(W)) | c2_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c1_1(W) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) | c2_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))))),
% 1.07/0.95 inference(bind,[status(th)],[])).
% 1.07/0.95 tff(1043,plain,
% 1.07/0.95 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.07/0.95 inference(quant_intro,[status(thm)],[1042])).
% 1.07/0.95 tff(1044,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) | c2_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause168')).
% 1.07/0.95 tff(1045,plain,
% 1.07/0.95 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1044, 1043])).
% 1.07/0.95 tff(1046,plain,
% 1.07/0.95 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1045, 1041])).
% 1.07/0.95 tff(1047,plain,(
% 1.07/0.95 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.07/0.95 inference(skolemize,[status(sab)],[1046])).
% 1.07/0.95 tff(1048,plain,
% 1.07/0.95 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1047, 1040])).
% 1.07/0.95 tff(1049,plain,
% 1.07/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | c1_1(a732) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | c1_1(a732) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(1050,plain,
% 1.07/0.95 (((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)) | c2_1(a732) | c1_1(a732) | c0_1(a732)) <=> (c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | c1_1(a732) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))),
% 1.07/0.95 inference(rewrite,[status(thm)],[])).
% 1.07/0.95 tff(1051,plain,
% 1.07/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)) | c2_1(a732) | c1_1(a732) | c0_1(a732))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | c1_1(a732) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750))))),
% 1.07/0.95 inference(monotonicity,[status(thm)],[1050])).
% 1.07/0.95 tff(1052,plain,
% 1.07/0.95 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)) | c2_1(a732) | c1_1(a732) | c0_1(a732))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | c1_1(a732) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))),
% 1.07/0.95 inference(transitivity,[status(thm)],[1051, 1049])).
% 1.07/0.95 tff(1053,plain,
% 1.07/0.95 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)) | c2_1(a732) | c1_1(a732) | c0_1(a732))),
% 1.07/0.95 inference(quant_inst,[status(thm)],[])).
% 1.07/0.95 tff(1054,plain,
% 1.07/0.95 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | c1_1(a732) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750))),
% 1.07/0.95 inference(modus_ponens,[status(thm)],[1053, 1052])).
% 1.07/0.95 tff(1055,plain,
% 1.07/0.95 (c1_1(a732) | (~c2_1(a734))),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[1054, 116, 777, 799, 788, 22, 33, 594, 593, 1048])).
% 1.07/0.95 tff(1056,plain,
% 1.07/0.95 (c1_1(a732)),
% 1.07/0.95 inference(unit_resolution,[status(thm)],[1055, 1038])).
% 1.07/0.95 tff(1057,plain,
% 1.07/0.95 (^[V: $i, U: $i] : refl((hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))))),
% 1.07/0.96 inference(bind,[status(th)],[])).
% 1.07/0.96 tff(1058,plain,
% 1.07/0.96 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.07/0.96 inference(quant_intro,[status(thm)],[1057])).
% 1.07/0.96 tff(1059,plain,
% 1.07/0.96 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.07/0.96 inference(rewrite,[status(thm)],[])).
% 1.07/0.96 tff(1060,plain,
% 1.07/0.96 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V))))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V))))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_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)))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V))))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c0_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c0_1(V)) | c2_1(V)) | hskp10) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) | hskp10))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) | hskp10) <=> (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c0_1(V)) | c2_1(V)) | hskp10) <=> (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))))),
% 1.07/0.96 inference(bind,[status(th)],[])).
% 1.07/0.96 tff(1061,plain,
% 1.07/0.96 (![V: $i, U: $i] : ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c0_1(V)) | c2_1(V)) | hskp10) <=> ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.07/0.96 inference(quant_intro,[status(thm)],[1060])).
% 1.07/0.96 tff(1062,axiom,(![V: $i, U: $i] : ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c0_1(V)) | c2_1(V)) | hskp10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause156')).
% 1.07/0.96 tff(1063,plain,
% 1.07/0.96 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.07/0.96 inference(modus_ponens,[status(thm)],[1062, 1061])).
% 1.07/0.96 tff(1064,plain,
% 1.07/0.96 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.07/0.96 inference(modus_ponens,[status(thm)],[1063, 1059])).
% 1.07/0.96 tff(1065,plain,(
% 1.07/0.96 ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.07/0.96 inference(skolemize,[status(sab)],[1064])).
% 1.07/0.96 tff(1066,plain,
% 1.07/0.96 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.07/0.96 inference(modus_ponens,[status(thm)],[1065, 1058])).
% 1.07/0.96 tff(1067,plain,
% 1.07/0.96 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | c0_1(a741) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c1_1(a732)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a741) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c1_1(a732)))),
% 1.07/0.96 inference(rewrite,[status(thm)],[])).
% 1.07/0.96 tff(1068,plain,
% 1.07/0.96 ((hskp10 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732))) <=> (hskp10 | c0_1(a741) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c1_1(a732)))),
% 1.07/0.96 inference(rewrite,[status(thm)],[])).
% 1.07/0.96 tff(1069,plain,
% 1.07/0.96 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | c0_1(a741) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c1_1(a732))))),
% 1.07/0.96 inference(monotonicity,[status(thm)],[1068])).
% 1.07/0.96 tff(1070,plain,
% 1.07/0.96 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a741) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c1_1(a732)))),
% 1.07/0.96 inference(transitivity,[status(thm)],[1069, 1067])).
% 1.07/0.96 tff(1071,plain,
% 1.07/0.96 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732)))),
% 1.07/0.96 inference(quant_inst,[status(thm)],[])).
% 1.07/0.96 tff(1072,plain,
% 1.07/0.96 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a741) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c1_1(a732))),
% 1.07/0.96 inference(modus_ponens,[status(thm)],[1071, 1070])).
% 1.07/0.96 tff(1073,plain,
% 1.07/0.96 (hskp10 | (~c1_1(a732))),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[1072, 116, 179, 185, 594, 593, 1066, 240])).
% 1.07/0.96 tff(1074,plain,
% 1.07/0.96 (hskp10),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[1073, 1056])).
% 1.07/0.96 tff(1075,plain,
% 1.07/0.96 (((~hskp10) | (~c2_1(a748))) <=> ((~hskp10) | (~c2_1(a748)))),
% 1.07/0.96 inference(rewrite,[status(thm)],[])).
% 1.07/0.96 tff(1076,plain,
% 1.07/0.96 (((~c2_1(a748)) | (~hskp10)) <=> ((~hskp10) | (~c2_1(a748)))),
% 1.07/0.96 inference(rewrite,[status(thm)],[])).
% 1.07/0.96 tff(1077,axiom,((~c2_1(a748)) | (~hskp10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause105')).
% 1.07/0.96 tff(1078,plain,
% 1.07/0.96 ((~hskp10) | (~c2_1(a748))),
% 1.07/0.96 inference(modus_ponens,[status(thm)],[1077, 1076])).
% 1.07/0.96 tff(1079,plain,
% 1.07/0.96 ((~hskp10) | (~c2_1(a748))),
% 1.07/0.96 inference(modus_ponens,[status(thm)],[1078, 1075])).
% 1.07/0.96 tff(1080,plain,
% 1.07/0.96 (~c2_1(a748)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[1079, 1074])).
% 1.07/0.96 tff(1081,plain,
% 1.07/0.96 (((~hskp10) | (~c1_1(a748))) <=> ((~hskp10) | (~c1_1(a748)))),
% 1.07/0.96 inference(rewrite,[status(thm)],[])).
% 1.07/0.96 tff(1082,plain,
% 1.07/0.96 (((~c1_1(a748)) | (~hskp10)) <=> ((~hskp10) | (~c1_1(a748)))),
% 1.07/0.96 inference(rewrite,[status(thm)],[])).
% 1.07/0.96 tff(1083,axiom,((~c1_1(a748)) | (~hskp10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause104')).
% 1.07/0.96 tff(1084,plain,
% 1.07/0.96 ((~hskp10) | (~c1_1(a748))),
% 1.07/0.96 inference(modus_ponens,[status(thm)],[1083, 1082])).
% 1.07/0.96 tff(1085,plain,
% 1.07/0.96 ((~hskp10) | (~c1_1(a748))),
% 1.07/0.96 inference(modus_ponens,[status(thm)],[1084, 1081])).
% 1.07/0.96 tff(1086,plain,
% 1.07/0.96 (~c1_1(a748)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[1085, 1074])).
% 1.07/0.96 tff(1087,plain,
% 1.07/0.96 (((~hskp10) | (~c0_1(a748))) <=> ((~hskp10) | (~c0_1(a748)))),
% 1.07/0.96 inference(rewrite,[status(thm)],[])).
% 1.07/0.96 tff(1088,plain,
% 1.07/0.96 (((~c0_1(a748)) | (~hskp10)) <=> ((~hskp10) | (~c0_1(a748)))),
% 1.07/0.96 inference(rewrite,[status(thm)],[])).
% 1.07/0.96 tff(1089,axiom,((~c0_1(a748)) | (~hskp10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause103')).
% 1.07/0.96 tff(1090,plain,
% 1.07/0.96 ((~hskp10) | (~c0_1(a748))),
% 1.07/0.96 inference(modus_ponens,[status(thm)],[1089, 1088])).
% 1.07/0.96 tff(1091,plain,
% 1.07/0.96 ((~hskp10) | (~c0_1(a748))),
% 1.07/0.96 inference(modus_ponens,[status(thm)],[1090, 1087])).
% 1.07/0.96 tff(1092,plain,
% 1.07/0.96 (~c0_1(a748)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[1091, 1074])).
% 1.07/0.96 tff(1093,plain,
% 1.07/0.96 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a748) | c1_1(a748) | c2_1(a748) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a748) | c1_1(a748) | c2_1(a748) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))),
% 1.07/0.96 inference(rewrite,[status(thm)],[])).
% 1.07/0.96 tff(1094,plain,
% 1.07/0.96 (((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)) | c2_1(a748) | c1_1(a748) | c0_1(a748)) <=> (c0_1(a748) | c1_1(a748) | c2_1(a748) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))),
% 1.07/0.96 inference(rewrite,[status(thm)],[])).
% 1.07/0.96 tff(1095,plain,
% 1.07/0.96 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)) | c2_1(a748) | c1_1(a748) | c0_1(a748))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a748) | c1_1(a748) | c2_1(a748) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750))))),
% 1.07/0.96 inference(monotonicity,[status(thm)],[1094])).
% 1.07/0.96 tff(1096,plain,
% 1.07/0.96 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)) | c2_1(a748) | c1_1(a748) | c0_1(a748))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a748) | c1_1(a748) | c2_1(a748) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))),
% 1.07/0.96 inference(transitivity,[status(thm)],[1095, 1093])).
% 1.07/0.96 tff(1097,plain,
% 1.07/0.96 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)) | c2_1(a748) | c1_1(a748) | c0_1(a748))),
% 1.07/0.96 inference(quant_inst,[status(thm)],[])).
% 1.07/0.96 tff(1098,plain,
% 1.07/0.96 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a748) | c1_1(a748) | c2_1(a748) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750))),
% 1.07/0.96 inference(modus_ponens,[status(thm)],[1097, 1096])).
% 1.07/0.96 tff(1099,plain,
% 1.07/0.96 ($false),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[1098, 116, 777, 799, 788, 1092, 1086, 1080, 22, 33, 1048, 1038])).
% 1.07/0.96 tff(1100,plain,(c1_1(a734) | c0_1(a734) | c3_1(a734) | hskp11), inference(lemma,lemma(discharge,[]))).
% 1.07/0.96 tff(1101,plain,
% 1.07/0.96 (c1_1(a734)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[1100, 33, 22, 21])).
% 1.07/0.96 tff(1102,assumption,(c1_1(a734)), introduced(assumption)).
% 1.07/0.96 tff(1103,plain,
% 1.07/0.96 (hskp0 | hskp9 | c3_1(a734) | (~c1_1(a734))),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[345, 116, 22, 339])).
% 1.07/0.96 tff(1104,plain,
% 1.07/0.96 (hskp9),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[1103, 241, 1102, 33])).
% 1.07/0.96 tff(1105,plain,
% 1.07/0.96 (~c2_1(a746)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[352, 1104])).
% 1.07/0.96 tff(1106,plain,
% 1.07/0.96 (~c0_1(a746)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[358, 1104])).
% 1.07/0.96 tff(1107,plain,
% 1.07/0.96 (c3_1(a746)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[369, 1104])).
% 1.07/0.96 tff(1108,plain,
% 1.07/0.96 (~c1_1(a746)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[376, 116, 1107, 1106, 1105, 133])).
% 1.07/0.96 tff(1109,plain,
% 1.07/0.96 ($false),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[393, 241, 116, 279, 1106, 1105, 260, 1108])).
% 1.07/0.96 tff(1110,plain,(hskp0 | hskp1 | (~c1_1(a734)) | c3_1(a734) | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.07/0.96 tff(1111,plain,
% 1.07/0.96 (hskp0),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[1110, 279, 1101, 33, 22])).
% 1.07/0.96 tff(1112,plain,
% 1.07/0.96 (~c1_1(a730)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[411, 1111])).
% 1.07/0.96 tff(1113,assumption,(~c1_1(a741)), introduced(assumption)).
% 1.07/0.96 tff(1114,plain,
% 1.07/0.96 (~hskp7),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[167, 1113])).
% 1.07/0.96 tff(1115,plain,
% 1.07/0.96 (^[U: $i] : refl((hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) <=> (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))))),
% 1.07/0.96 inference(bind,[status(th)],[])).
% 1.07/0.96 tff(1116,plain,
% 1.07/0.96 (![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.07/0.96 inference(quant_intro,[status(thm)],[1115])).
% 1.07/0.96 tff(1117,plain,
% 1.07/0.96 (![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.07/0.96 inference(rewrite,[status(thm)],[])).
% 1.07/0.96 tff(1118,plain,
% 1.07/0.96 (^[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)) | c2_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))), (((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))))), ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp12) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp12))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp12) <=> (hskp12 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))), ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp12) <=> (hskp12 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp12) | hskp7) <=> ((hskp12 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp7))), rewrite(((hskp12 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp7) <=> (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp12) | hskp7) <=> (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))))),
% 1.07/0.96 inference(bind,[status(th)],[])).
% 1.07/0.96 tff(1119,plain,
% 1.07/0.96 (![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp12) | hskp7) <=> ![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.07/0.96 inference(quant_intro,[status(thm)],[1118])).
% 1.07/0.96 tff(1120,axiom,(![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp12) | hskp7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause131')).
% 1.07/0.96 tff(1121,plain,
% 1.07/0.96 (![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.07/0.96 inference(modus_ponens,[status(thm)],[1120, 1119])).
% 1.07/0.96 tff(1122,plain,
% 1.07/0.96 (![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.07/0.96 inference(modus_ponens,[status(thm)],[1121, 1117])).
% 1.07/0.96 tff(1123,plain,(
% 1.07/0.96 ![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.07/0.96 inference(skolemize,[status(sab)],[1122])).
% 1.07/0.96 tff(1124,plain,
% 1.07/0.96 (![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.07/0.96 inference(modus_ponens,[status(thm)],[1123, 1116])).
% 1.07/0.96 tff(1125,assumption,(~hskp7), introduced(assumption)).
% 1.07/0.96 tff(1126,assumption,(~hskp12), introduced(assumption)).
% 1.07/0.96 tff(1127,plain,
% 1.07/0.96 (hskp1),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[156, 55, 1125])).
% 1.07/0.96 tff(1128,plain,
% 1.07/0.96 (c3_1(a731)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[72, 1127])).
% 1.07/0.96 tff(1129,assumption,(~c2_1(a731)), introduced(assumption)).
% 1.07/0.96 tff(1130,plain,
% 1.07/0.96 (((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | c0_1(a731))) <=> ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp12 | hskp7 | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | c0_1(a731))),
% 1.07/0.96 inference(rewrite,[status(thm)],[])).
% 1.07/0.96 tff(1131,plain,
% 1.07/0.96 ((hskp12 | hskp7 | (~ndr1_0) | c2_1(a731) | c0_1(a731) | (~c3_1(a731))) <=> (hskp12 | hskp7 | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | c0_1(a731))),
% 1.07/0.96 inference(rewrite,[status(thm)],[])).
% 1.07/0.96 tff(1132,plain,
% 1.07/0.96 (((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | (~ndr1_0) | c2_1(a731) | c0_1(a731) | (~c3_1(a731)))) <=> ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | c0_1(a731)))),
% 1.07/0.96 inference(monotonicity,[status(thm)],[1131])).
% 1.07/0.96 tff(1133,plain,
% 1.07/0.96 (((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | (~ndr1_0) | c2_1(a731) | c0_1(a731) | (~c3_1(a731)))) <=> ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp12 | hskp7 | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | c0_1(a731))),
% 1.07/0.96 inference(transitivity,[status(thm)],[1132, 1130])).
% 1.07/0.96 tff(1134,plain,
% 1.07/0.96 ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | (~ndr1_0) | c2_1(a731) | c0_1(a731) | (~c3_1(a731)))),
% 1.07/0.96 inference(quant_inst,[status(thm)],[])).
% 1.07/0.96 tff(1135,plain,
% 1.07/0.96 ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp12 | hskp7 | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | c0_1(a731)),
% 1.07/0.96 inference(modus_ponens,[status(thm)],[1134, 1133])).
% 1.07/0.96 tff(1136,plain,
% 1.07/0.96 ((~c3_1(a731)) | c0_1(a731)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[1135, 116, 1126, 1125, 1129, 1124])).
% 1.07/0.96 tff(1137,plain,
% 1.07/0.96 (c0_1(a731)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[1136, 1128])).
% 1.07/0.96 tff(1138,plain,
% 1.07/0.96 (c1_1(a731)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[83, 1127])).
% 1.07/0.96 tff(1139,plain,
% 1.07/0.96 ($false),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[122, 116, 44, 1138, 1128, 22, 33, 1129, 10, 1137])).
% 1.07/0.96 tff(1140,plain,(c1_1(a734) | c0_1(a734) | c3_1(a734) | c2_1(a731) | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.07/0.96 tff(1141,plain,
% 1.07/0.96 (c2_1(a731)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[1140, 44, 33, 22, 1126, 1125])).
% 1.07/0.96 tff(1142,plain,
% 1.07/0.96 ($false),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[61, 1127, 1141])).
% 1.07/0.96 tff(1143,plain,(c1_1(a734) | hskp7 | c3_1(a734) | c0_1(a734) | hskp12), inference(lemma,lemma(discharge,[]))).
% 1.07/0.96 tff(1144,plain,
% 1.07/0.96 (c1_1(a734)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[1143, 22, 1125, 33, 1126])).
% 1.07/0.96 tff(1145,assumption,(hskp9), introduced(assumption)).
% 1.07/0.96 tff(1146,plain,
% 1.07/0.96 (~c2_1(a746)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[352, 1145])).
% 1.07/0.96 tff(1147,plain,
% 1.07/0.96 (~c0_1(a746)),
% 1.07/0.96 inference(unit_resolution,[status(thm)],[358, 1145])).
% 1.11/0.96 tff(1148,plain,
% 1.11/0.96 (c3_1(a746)),
% 1.11/0.96 inference(unit_resolution,[status(thm)],[369, 1145])).
% 1.11/0.96 tff(1149,plain,
% 1.11/0.96 (((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746)))) <=> ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp12 | hskp7 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746)))),
% 1.11/0.96 inference(rewrite,[status(thm)],[])).
% 1.11/0.96 tff(1150,plain,
% 1.11/0.96 ((hskp12 | hskp7 | (~ndr1_0) | c2_1(a746) | c0_1(a746) | (~c3_1(a746))) <=> (hskp12 | hskp7 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746)))),
% 1.11/0.96 inference(rewrite,[status(thm)],[])).
% 1.11/0.96 tff(1151,plain,
% 1.11/0.96 (((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | (~ndr1_0) | c2_1(a746) | c0_1(a746) | (~c3_1(a746)))) <=> ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746))))),
% 1.11/0.96 inference(monotonicity,[status(thm)],[1150])).
% 1.11/0.96 tff(1152,plain,
% 1.11/0.96 (((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | (~ndr1_0) | c2_1(a746) | c0_1(a746) | (~c3_1(a746)))) <=> ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp12 | hskp7 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746)))),
% 1.11/0.96 inference(transitivity,[status(thm)],[1151, 1149])).
% 1.11/0.96 tff(1153,plain,
% 1.11/0.96 ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | (~ndr1_0) | c2_1(a746) | c0_1(a746) | (~c3_1(a746)))),
% 1.11/0.96 inference(quant_inst,[status(thm)],[])).
% 1.11/0.96 tff(1154,plain,
% 1.11/0.96 ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp12 | hskp7 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746))),
% 1.11/0.96 inference(modus_ponens,[status(thm)],[1153, 1152])).
% 1.11/0.96 tff(1155,plain,
% 1.11/0.96 ($false),
% 1.11/0.96 inference(unit_resolution,[status(thm)],[1154, 116, 1126, 1125, 1148, 1147, 1146, 1124])).
% 1.11/0.96 tff(1156,plain,((~hskp9) | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.11/0.96 tff(1157,plain,
% 1.11/0.96 (~hskp9),
% 1.11/0.96 inference(unit_resolution,[status(thm)],[1156, 1125, 1126])).
% 1.11/0.96 tff(1158,plain,
% 1.11/0.96 (hskp0 | c0_1(a734) | (~c1_1(a734))),
% 1.11/0.96 inference(unit_resolution,[status(thm)],[345, 116, 1157, 33, 339])).
% 1.11/0.96 tff(1159,plain,
% 1.11/0.96 (hskp0),
% 1.11/0.96 inference(unit_resolution,[status(thm)],[1158, 1144, 22])).
% 1.11/0.96 tff(1160,plain,
% 1.11/0.96 (c0_1(a730)),
% 1.11/0.96 inference(unit_resolution,[status(thm)],[482, 1159])).
% 1.11/0.96 tff(1161,plain,
% 1.11/0.96 (~c1_1(a730)),
% 1.11/0.96 inference(unit_resolution,[status(thm)],[411, 1159])).
% 1.11/0.96 tff(1162,plain,
% 1.11/0.96 (^[U: $i] : refl((hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))))),
% 1.11/0.96 inference(bind,[status(th)],[])).
% 1.11/0.96 tff(1163,plain,
% 1.11/0.96 (![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.11/0.96 inference(quant_intro,[status(thm)],[1162])).
% 1.11/0.96 tff(1164,plain,
% 1.11/0.96 (![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.11/0.96 inference(rewrite,[status(thm)],[])).
% 1.11/0.96 tff(1165,plain,
% 1.11/0.96 (^[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) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp18) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp18))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp18) <=> (hskp18 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp18) <=> (hskp18 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp18) | hskp11) <=> ((hskp18 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp11))), rewrite(((hskp18 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp11) <=> (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp18) | hskp11) <=> (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))))),
% 1.11/0.96 inference(bind,[status(th)],[])).
% 1.11/0.96 tff(1166,plain,
% 1.11/0.96 (![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp18) | hskp11) <=> ![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.11/0.96 inference(quant_intro,[status(thm)],[1165])).
% 1.11/0.96 tff(1167,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp18) | hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause141')).
% 1.11/0.96 tff(1168,plain,
% 1.11/0.96 (![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.11/0.96 inference(modus_ponens,[status(thm)],[1167, 1166])).
% 1.11/0.96 tff(1169,plain,
% 1.11/0.96 (![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.11/0.96 inference(modus_ponens,[status(thm)],[1168, 1164])).
% 1.11/0.96 tff(1170,plain,(
% 1.11/0.96 ![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.11/0.96 inference(skolemize,[status(sab)],[1169])).
% 1.11/0.96 tff(1171,plain,
% 1.11/0.96 (![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.11/0.96 inference(modus_ponens,[status(thm)],[1170, 1163])).
% 1.11/0.96 tff(1172,plain,
% 1.11/0.96 (^[U: $i] : refl((hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U)) <=> (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U)))),
% 1.11/0.96 inference(bind,[status(th)],[])).
% 1.11/0.96 tff(1173,plain,
% 1.11/0.96 (![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U)) <=> ![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))),
% 1.11/0.96 inference(quant_intro,[status(thm)],[1172])).
% 1.11/0.96 tff(1174,plain,
% 1.11/0.96 (![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U)) <=> ![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))),
% 1.11/0.96 inference(rewrite,[status(thm)],[])).
% 1.11/0.96 tff(1175,plain,
% 1.11/0.96 (^[U: $i] : 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)) | hskp5) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U)) | hskp5))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U)) | hskp5) <=> (hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))), ((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | hskp5) <=> (hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U)))), (((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | hskp5) | hskp9) <=> ((hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U)) | hskp9))), rewrite(((hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U)) | hskp9) <=> (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))), (((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | hskp5) | hskp9) <=> (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))))),
% 1.11/0.96 inference(bind,[status(th)],[])).
% 1.11/0.96 tff(1176,plain,
% 1.11/0.96 (![U: $i] : ((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | hskp5) | hskp9) <=> ![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))),
% 1.11/0.96 inference(quant_intro,[status(thm)],[1175])).
% 1.11/0.96 tff(1177,axiom,(![U: $i] : ((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | hskp5) | hskp9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause125')).
% 1.11/0.96 tff(1178,plain,
% 1.11/0.97 (![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1177, 1176])).
% 1.11/0.97 tff(1179,plain,
% 1.11/0.97 (![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1178, 1174])).
% 1.11/0.97 tff(1180,plain,(
% 1.11/0.97 ![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))),
% 1.11/0.97 inference(skolemize,[status(sab)],[1179])).
% 1.11/0.97 tff(1181,plain,
% 1.11/0.97 (![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1180, 1173])).
% 1.11/0.97 tff(1182,plain,
% 1.11/0.97 (((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734))) <=> ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | hskp9 | hskp5 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1183,plain,
% 1.11/0.97 ((hskp9 | hskp5 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | c3_1(a734)) <=> (hskp9 | hskp5 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1184,plain,
% 1.11/0.97 (((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | c3_1(a734))) <=> ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734)))),
% 1.11/0.97 inference(monotonicity,[status(thm)],[1183])).
% 1.11/0.97 tff(1185,plain,
% 1.11/0.97 (((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | c3_1(a734))) <=> ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | hskp9 | hskp5 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734))),
% 1.11/0.97 inference(transitivity,[status(thm)],[1184, 1182])).
% 1.11/0.97 tff(1186,plain,
% 1.11/0.97 ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | c3_1(a734))),
% 1.11/0.97 inference(quant_inst,[status(thm)],[])).
% 1.11/0.97 tff(1187,plain,
% 1.11/0.97 ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | hskp9 | hskp5 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734)),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1186, 1185])).
% 1.11/0.97 tff(1188,plain,
% 1.11/0.97 (hskp5 | c0_1(a734) | c2_1(a734)),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[1187, 116, 1157, 33, 1181])).
% 1.11/0.97 tff(1189,plain,
% 1.11/0.97 (c2_1(a734)),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[1188, 423, 22])).
% 1.11/0.97 tff(1190,assumption,(~c0_1(a744)), introduced(assumption)).
% 1.11/0.97 tff(1191,assumption,(~c1_1(a744)), introduced(assumption)).
% 1.11/0.97 tff(1192,assumption,(~c3_1(a744)), introduced(assumption)).
% 1.11/0.97 tff(1193,plain,
% 1.11/0.97 (c0_1(a731)),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[1135, 116, 1126, 1125, 73, 62, 1124])).
% 1.11/0.97 tff(1194,plain,
% 1.11/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | (c3_1(a744) | c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | c3_1(a744) | c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1195,plain,
% 1.11/0.97 (((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a744) | c0_1(a744) | c3_1(a744)) <=> (c3_1(a744) | c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1196,plain,
% 1.11/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | ((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a744) | c0_1(a744) | c3_1(a744))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | (c3_1(a744) | c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731))))),
% 1.11/0.97 inference(monotonicity,[status(thm)],[1195])).
% 1.11/0.97 tff(1197,plain,
% 1.11/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | ((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a744) | c0_1(a744) | c3_1(a744))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | c3_1(a744) | c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))),
% 1.11/0.97 inference(transitivity,[status(thm)],[1196, 1194])).
% 1.11/0.97 tff(1198,plain,
% 1.11/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | ((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a744) | c0_1(a744) | c3_1(a744))),
% 1.11/0.97 inference(quant_inst,[status(thm)],[])).
% 1.11/0.97 tff(1199,plain,
% 1.11/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | c3_1(a744) | c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1198, 1197])).
% 1.11/0.97 tff(1200,plain,
% 1.11/0.97 (c3_1(a744) | (~c0_1(a731))),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[1199, 116, 84, 73, 1190, 1191, 62, 10])).
% 1.11/0.97 tff(1201,plain,
% 1.11/0.97 (c3_1(a744)),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[1200, 1193])).
% 1.11/0.97 tff(1202,plain,
% 1.11/0.97 (((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | c0_1(a744) | (~ndr1_0) | c2_1(a744) | (~c3_1(a744)))) <=> ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp12 | hskp7 | c0_1(a744) | (~ndr1_0) | c2_1(a744) | (~c3_1(a744)))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1203,plain,
% 1.11/0.97 ((hskp12 | hskp7 | (~ndr1_0) | c2_1(a744) | c0_1(a744) | (~c3_1(a744))) <=> (hskp12 | hskp7 | c0_1(a744) | (~ndr1_0) | c2_1(a744) | (~c3_1(a744)))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1204,plain,
% 1.11/0.97 (((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | (~ndr1_0) | c2_1(a744) | c0_1(a744) | (~c3_1(a744)))) <=> ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | c0_1(a744) | (~ndr1_0) | c2_1(a744) | (~c3_1(a744))))),
% 1.11/0.97 inference(monotonicity,[status(thm)],[1203])).
% 1.11/0.97 tff(1205,plain,
% 1.11/0.97 (((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | (~ndr1_0) | c2_1(a744) | c0_1(a744) | (~c3_1(a744)))) <=> ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp12 | hskp7 | c0_1(a744) | (~ndr1_0) | c2_1(a744) | (~c3_1(a744)))),
% 1.11/0.97 inference(transitivity,[status(thm)],[1204, 1202])).
% 1.11/0.97 tff(1206,plain,
% 1.11/0.97 ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | (~ndr1_0) | c2_1(a744) | c0_1(a744) | (~c3_1(a744)))),
% 1.11/0.97 inference(quant_inst,[status(thm)],[])).
% 1.11/0.97 tff(1207,plain,
% 1.11/0.97 ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp12 | hskp7 | c0_1(a744) | (~ndr1_0) | c2_1(a744) | (~c3_1(a744))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1206, 1205])).
% 1.11/0.97 tff(1208,plain,
% 1.11/0.97 (c2_1(a744) | (~c3_1(a744))),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[1207, 116, 1126, 1125, 1190, 1124])).
% 1.11/0.97 tff(1209,plain,
% 1.11/0.97 (c2_1(a744)),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[1208, 1201])).
% 1.11/0.97 tff(1210,plain,
% 1.11/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c0_1(a731)) | (~c2_1(a744)) | (~c3_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c0_1(a731)) | (~c2_1(a744)) | (~c3_1(a744)))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1211,plain,
% 1.11/0.97 (((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744))) <=> (c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c0_1(a731)) | (~c2_1(a744)) | (~c3_1(a744)))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1212,plain,
% 1.11/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c0_1(a731)) | (~c2_1(a744)) | (~c3_1(a744))))),
% 1.11/0.97 inference(monotonicity,[status(thm)],[1211])).
% 1.11/0.97 tff(1213,plain,
% 1.11/0.97 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c0_1(a731)) | (~c2_1(a744)) | (~c3_1(a744)))),
% 1.11/0.97 inference(transitivity,[status(thm)],[1212, 1210])).
% 1.11/0.97 tff(1214,plain,
% 1.11/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744)))),
% 1.11/0.97 inference(quant_inst,[status(thm)],[])).
% 1.11/0.97 tff(1215,plain,
% 1.11/0.97 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c0_1(a731)) | (~c2_1(a744)) | (~c3_1(a744))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1214, 1213])).
% 1.11/0.97 tff(1216,plain,
% 1.11/0.97 ((~c2_1(a744)) | (~c3_1(a744))),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[1215, 116, 73, 1190, 1191, 62, 494, 1193])).
% 1.11/0.97 tff(1217,plain,
% 1.11/0.97 ($false),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[1216, 1209, 1201])).
% 1.11/0.97 tff(1218,plain,((~hskp1) | c0_1(a744) | c1_1(a744) | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.11/0.97 tff(1219,plain,
% 1.11/0.97 (~hskp1),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[1218, 1191, 1190, 1126, 1125])).
% 1.11/0.97 tff(1220,assumption,(hskp2), introduced(assumption)).
% 1.11/0.97 tff(1221,plain,
% 1.11/0.97 (~c3_1(a732)),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[591, 1220])).
% 1.11/0.97 tff(1222,plain,
% 1.11/0.97 (~c0_1(a732)),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[312, 1220])).
% 1.11/0.97 tff(1223,plain,
% 1.11/0.97 (~c2_1(a732)),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[306, 1220])).
% 1.11/0.97 tff(1224,plain,
% 1.11/0.97 (c1_1(a734)),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[1140, 1129, 33, 22, 1126, 1125])).
% 1.11/0.97 tff(1225,plain,
% 1.11/0.97 (~hskp8),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[737, 1192])).
% 1.11/0.97 tff(1226,plain,
% 1.11/0.97 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a734)))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1227,plain,
% 1.11/0.97 ((hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a732) | c0_1(a732) | c2_1(a732)) <=> (hskp8 | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a734)))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1228,plain,
% 1.11/0.97 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a732) | c0_1(a732) | c2_1(a732))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a734))))),
% 1.11/0.97 inference(monotonicity,[status(thm)],[1227])).
% 1.11/0.97 tff(1229,plain,
% 1.11/0.97 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a732) | c0_1(a732) | c2_1(a732))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a734)))),
% 1.11/0.97 inference(transitivity,[status(thm)],[1228, 1226])).
% 1.11/0.97 tff(1230,plain,
% 1.11/0.97 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a732) | c0_1(a732) | c2_1(a732))),
% 1.11/0.97 inference(quant_inst,[status(thm)],[])).
% 1.11/0.97 tff(1231,plain,
% 1.11/0.97 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a734))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1230, 1229])).
% 1.11/0.97 tff(1232,plain,
% 1.11/0.97 (hskp8 | c0_1(a732) | (~c2_1(a734))),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[1231, 116, 22, 33, 672, 671, 670])).
% 1.11/0.97 tff(1233,plain,
% 1.11/0.97 (~c2_1(a734)),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[1232, 1225, 673])).
% 1.11/0.97 tff(1234,plain,
% 1.11/0.97 (^[V: $i, U: $i] : refl((hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)) <=> (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)))),
% 1.11/0.97 inference(bind,[status(th)],[])).
% 1.11/0.97 tff(1235,plain,
% 1.11/0.97 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)) <=> ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.11/0.97 inference(quant_intro,[status(thm)],[1234])).
% 1.11/0.97 tff(1236,plain,
% 1.11/0.97 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)) <=> ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1237,plain,
% 1.11/0.97 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c1_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U))))), (((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U))) | c3_1(U)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U))) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)))), (((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U))))), ((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V))), ((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V)))), (((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V)) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V))), (((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V)))), ((((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))), ((((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)))), (((((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp3) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)) | hskp3))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)) | hskp3) <=> (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))), (((((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp3) <=> (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))))),
% 1.11/0.97 inference(bind,[status(th)],[])).
% 1.11/0.97 tff(1238,plain,
% 1.11/0.97 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp3) <=> ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.11/0.97 inference(quant_intro,[status(thm)],[1237])).
% 1.11/0.97 tff(1239,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause147')).
% 1.11/0.97 tff(1240,plain,
% 1.11/0.97 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1239, 1238])).
% 1.11/0.97 tff(1241,plain,
% 1.11/0.97 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1240, 1236])).
% 1.11/0.97 tff(1242,plain,(
% 1.11/0.97 ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.11/0.97 inference(skolemize,[status(sab)],[1241])).
% 1.11/0.97 tff(1243,plain,
% 1.11/0.97 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1242, 1235])).
% 1.11/0.97 tff(1244,plain,
% 1.11/0.97 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp3 | c3_1(a744) | c0_1(a744) | c1_1(a744) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp3 | c3_1(a744) | c0_1(a744) | c1_1(a744) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1245,plain,
% 1.11/0.97 ((hskp3 | (~ndr1_0) | c2_1(a734) | c3_1(a734) | (~c1_1(a734)) | c3_1(a744) | c1_1(a744) | c0_1(a744)) <=> (hskp3 | c3_1(a744) | c0_1(a744) | c1_1(a744) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1246,plain,
% 1.11/0.97 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp3 | (~ndr1_0) | c2_1(a734) | c3_1(a734) | (~c1_1(a734)) | c3_1(a744) | c1_1(a744) | c0_1(a744))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp3 | c3_1(a744) | c0_1(a744) | c1_1(a744) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734))))),
% 1.11/0.97 inference(monotonicity,[status(thm)],[1245])).
% 1.11/0.97 tff(1247,plain,
% 1.11/0.97 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp3 | (~ndr1_0) | c2_1(a734) | c3_1(a734) | (~c1_1(a734)) | c3_1(a744) | c1_1(a744) | c0_1(a744))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp3 | c3_1(a744) | c0_1(a744) | c1_1(a744) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)))),
% 1.11/0.97 inference(transitivity,[status(thm)],[1246, 1244])).
% 1.11/0.97 tff(1248,plain,
% 1.11/0.97 ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp3 | (~ndr1_0) | c2_1(a734) | c3_1(a734) | (~c1_1(a734)) | c3_1(a744) | c1_1(a744) | c0_1(a744))),
% 1.11/0.97 inference(quant_inst,[status(thm)],[])).
% 1.11/0.97 tff(1249,plain,
% 1.11/0.97 ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp3 | c3_1(a744) | c0_1(a744) | c1_1(a744) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1248, 1247])).
% 1.11/0.97 tff(1250,plain,
% 1.11/0.97 (hskp3),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[1249, 116, 1192, 1102, 1190, 1191, 33, 1243, 1233])).
% 1.11/0.97 tff(1251,plain,
% 1.11/0.97 (((~hskp3) | (~c0_1(a733))) <=> ((~hskp3) | (~c0_1(a733)))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1252,plain,
% 1.11/0.97 (((~c0_1(a733)) | (~hskp3)) <=> ((~hskp3) | (~c0_1(a733)))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1253,axiom,((~c0_1(a733)) | (~hskp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause116')).
% 1.11/0.97 tff(1254,plain,
% 1.11/0.97 ((~hskp3) | (~c0_1(a733))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1253, 1252])).
% 1.11/0.97 tff(1255,plain,
% 1.11/0.97 ((~hskp3) | (~c0_1(a733))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1254, 1251])).
% 1.11/0.97 tff(1256,plain,
% 1.11/0.97 (~c0_1(a733)),
% 1.11/0.97 inference(unit_resolution,[status(thm)],[1255, 1250])).
% 1.11/0.97 tff(1257,plain,
% 1.11/0.97 (^[V: $i, U: $i] : refl((hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))))),
% 1.11/0.97 inference(bind,[status(th)],[])).
% 1.11/0.97 tff(1258,plain,
% 1.11/0.97 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.11/0.97 inference(quant_intro,[status(thm)],[1257])).
% 1.11/0.97 tff(1259,plain,
% 1.11/0.97 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1260,plain,
% 1.11/0.97 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c1_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c1_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c1_1(V)))), ((((~c1_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c1_1(V))))), (((((~c1_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c1_1(V))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c1_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U)) | (~c1_1(V)))), (((((~c1_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U)) | (~c1_1(V))))), ((((((~c1_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c1_1(U)) | (~c1_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c1_1(U)) | (~c1_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | (~c1_1(V)))), ((((((~c1_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | (~c1_1(V))))), (((((((~c1_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)))), (((((((~c1_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | (~c1_1(V))))), ((((((((~c1_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))), ((((((((~c1_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))))), (((((((((~c1_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp5) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) | hskp5))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V))) | hskp5) <=> (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))), (((((((((~c1_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp5) <=> (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))))),
% 1.11/0.97 inference(bind,[status(th)],[])).
% 1.11/0.97 tff(1261,plain,
% 1.11/0.97 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp5) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.11/0.97 inference(quant_intro,[status(thm)],[1260])).
% 1.11/0.97 tff(1262,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause152')).
% 1.11/0.97 tff(1263,plain,
% 1.11/0.97 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1262, 1261])).
% 1.11/0.97 tff(1264,plain,
% 1.11/0.97 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1263, 1259])).
% 1.11/0.97 tff(1265,plain,(
% 1.11/0.97 ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.11/0.97 inference(skolemize,[status(sab)],[1264])).
% 1.11/0.97 tff(1266,plain,
% 1.11/0.97 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))),
% 1.11/0.97 inference(modus_ponens,[status(thm)],[1265, 1258])).
% 1.11/0.97 tff(1267,plain,
% 1.11/0.97 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1268,plain,
% 1.11/0.97 ((hskp5 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734))) <=> (hskp5 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)))),
% 1.11/0.97 inference(rewrite,[status(thm)],[])).
% 1.11/0.97 tff(1269,plain,
% 1.11/0.97 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734))))),
% 1.11/0.97 inference(monotonicity,[status(thm)],[1268])).
% 1.11/0.97 tff(1270,plain,
% 1.11/0.97 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)))),
% 1.11/0.98 inference(transitivity,[status(thm)],[1269, 1267])).
% 1.11/0.98 tff(1271,plain,
% 1.11/0.98 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734)))),
% 1.11/0.98 inference(quant_inst,[status(thm)],[])).
% 1.11/0.98 tff(1272,plain,
% 1.11/0.98 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734))),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1271, 1270])).
% 1.11/0.98 tff(1273,plain,
% 1.11/0.98 (hskp5 | c3_1(a734) | c2_1(a734) | (~c1_1(a734))),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1272, 116, 22, 1266])).
% 1.11/0.98 tff(1274,plain,
% 1.11/0.98 (hskp5),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1273, 1233, 33, 1102])).
% 1.11/0.98 tff(1275,plain,
% 1.11/0.98 (c2_1(a735)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[454, 1274])).
% 1.11/0.98 tff(1276,plain,
% 1.11/0.98 ((hskp0 | hskp8) <=> (hskp0 | hskp8)),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1277,axiom,(hskp0 | hskp8), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause1')).
% 1.11/0.98 tff(1278,plain,
% 1.11/0.98 (hskp0 | hskp8),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1277, 1276])).
% 1.11/0.98 tff(1279,plain,
% 1.11/0.98 (hskp0),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1278, 1225])).
% 1.11/0.98 tff(1280,plain,
% 1.11/0.98 (~c1_1(a730)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[411, 1279])).
% 1.11/0.98 tff(1281,plain,
% 1.11/0.98 (c3_1(a735)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[443, 1274])).
% 1.11/0.98 tff(1282,plain,
% 1.11/0.98 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | c0_1(a735) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c3_1(a735)) | (~c2_1(a735)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a735) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c3_1(a735)) | (~c2_1(a735)))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1283,plain,
% 1.11/0.98 ((hskp10 | (~ndr1_0) | c0_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734))) <=> (hskp10 | c0_1(a735) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c3_1(a735)) | (~c2_1(a735)))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1284,plain,
% 1.11/0.98 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | c0_1(a735) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c3_1(a735)) | (~c2_1(a735))))),
% 1.11/0.98 inference(monotonicity,[status(thm)],[1283])).
% 1.11/0.98 tff(1285,plain,
% 1.11/0.98 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a735) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c3_1(a735)) | (~c2_1(a735)))),
% 1.11/0.98 inference(transitivity,[status(thm)],[1284, 1282])).
% 1.11/0.98 tff(1286,plain,
% 1.11/0.98 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734)))),
% 1.11/0.98 inference(quant_inst,[status(thm)],[])).
% 1.11/0.98 tff(1287,plain,
% 1.11/0.98 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a735) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c3_1(a735)) | (~c2_1(a735))),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1286, 1285])).
% 1.11/0.98 tff(1288,plain,
% 1.11/0.98 (hskp10 | c2_1(a734) | (~c1_1(a734)) | (~c3_1(a735)) | (~c2_1(a735))),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1287, 116, 496, 22, 1066])).
% 1.11/0.98 tff(1289,plain,
% 1.11/0.98 (hskp10),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1288, 1281, 1102, 1275, 1233])).
% 1.11/0.98 tff(1290,plain,
% 1.11/0.98 (~c2_1(a748)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1079, 1289])).
% 1.11/0.98 tff(1291,plain,
% 1.11/0.98 (~c1_1(a748)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1085, 1289])).
% 1.11/0.98 tff(1292,plain,
% 1.11/0.98 (~c0_1(a748)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1091, 1289])).
% 1.11/0.98 tff(1293,plain,
% 1.11/0.98 (c3_1(a730)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[471, 1279])).
% 1.11/0.98 tff(1294,plain,
% 1.11/0.98 (c0_1(a730)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[482, 1279])).
% 1.11/0.98 tff(1295,plain,
% 1.11/0.98 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | c0_1(a748) | c1_1(a748) | c2_1(a748) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c0_1(a748) | c1_1(a748) | c2_1(a748) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1296,plain,
% 1.11/0.98 ((hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a748) | c0_1(a748) | c2_1(a748)) <=> (hskp25 | c0_1(a748) | c1_1(a748) | c2_1(a748) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1297,plain,
% 1.11/0.98 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a748) | c0_1(a748) | c2_1(a748))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | c0_1(a748) | c1_1(a748) | c2_1(a748) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730))))),
% 1.11/0.98 inference(monotonicity,[status(thm)],[1296])).
% 1.11/0.98 tff(1298,plain,
% 1.11/0.98 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a748) | c0_1(a748) | c2_1(a748))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c0_1(a748) | c1_1(a748) | c2_1(a748) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)))),
% 1.11/0.98 inference(transitivity,[status(thm)],[1297, 1295])).
% 1.11/0.98 tff(1299,plain,
% 1.11/0.98 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a748) | c0_1(a748) | c2_1(a748))),
% 1.11/0.98 inference(quant_inst,[status(thm)],[])).
% 1.11/0.98 tff(1300,plain,
% 1.11/0.98 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c0_1(a748) | c1_1(a748) | c2_1(a748) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730))),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1299, 1298])).
% 1.11/0.98 tff(1301,plain,
% 1.11/0.98 (hskp25),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1300, 116, 1294, 1293, 1292, 1291, 1290, 1280, 20])).
% 1.11/0.98 tff(1302,plain,
% 1.11/0.98 (c3_1(a729)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[831, 1301])).
% 1.11/0.98 tff(1303,plain,
% 1.11/0.98 (c2_1(a729)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[842, 1301])).
% 1.11/0.98 tff(1304,plain,
% 1.11/0.98 (c0_1(a729)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[853, 1301])).
% 1.11/0.98 tff(1305,plain,
% 1.11/0.98 (hskp21),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[947, 116, 1304, 1303, 1302, 506])).
% 1.11/0.98 tff(1306,plain,
% 1.11/0.98 (~c2_1(a793)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[521, 1305])).
% 1.11/0.98 tff(1307,plain,
% 1.11/0.98 (((~hskp3) | (~c1_1(a733))) <=> ((~hskp3) | (~c1_1(a733)))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1308,plain,
% 1.11/0.98 (((~c1_1(a733)) | (~hskp3)) <=> ((~hskp3) | (~c1_1(a733)))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1309,axiom,((~c1_1(a733)) | (~hskp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause117')).
% 1.11/0.98 tff(1310,plain,
% 1.11/0.98 ((~hskp3) | (~c1_1(a733))),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1309, 1308])).
% 1.11/0.98 tff(1311,plain,
% 1.11/0.98 ((~hskp3) | (~c1_1(a733))),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1310, 1307])).
% 1.11/0.98 tff(1312,plain,
% 1.11/0.98 (~c1_1(a733)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1311, 1250])).
% 1.11/0.98 tff(1313,plain,
% 1.11/0.98 (c0_1(a793)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[545, 1305])).
% 1.11/0.98 tff(1314,plain,
% 1.11/0.98 (c3_1(a793)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[534, 1305])).
% 1.11/0.98 tff(1315,assumption,(ndr1_0), introduced(assumption)).
% 1.11/0.98 tff(1316,plain,
% 1.11/0.98 (hskp8 | (~ndr1_0) | (~c2_1(a734))),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1231, 22, 33, 673, 672, 671, 670])).
% 1.11/0.98 tff(1317,plain,
% 1.11/0.98 (~c2_1(a734)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1316, 1225, 1315])).
% 1.11/0.98 tff(1318,plain,
% 1.11/0.98 (hskp3),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1249, 1315, 1192, 1102, 1190, 1191, 33, 1243, 1317])).
% 1.11/0.98 tff(1319,plain,
% 1.11/0.98 (((~hskp3) | c2_1(a733)) <=> ((~hskp3) | c2_1(a733))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1320,axiom,((~hskp3) | c2_1(a733)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause76')).
% 1.11/0.98 tff(1321,plain,
% 1.11/0.98 ((~hskp3) | c2_1(a733)),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1320, 1319])).
% 1.11/0.98 tff(1322,plain,
% 1.11/0.98 ((~hskp3) | c2_1(a733)),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1321, 1319])).
% 1.11/0.98 tff(1323,plain,
% 1.11/0.98 ((~hskp3) | c2_1(a733)),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1322, 1319])).
% 1.11/0.98 tff(1324,plain,
% 1.11/0.98 ((~hskp3) | c2_1(a733)),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1323, 1319])).
% 1.11/0.98 tff(1325,plain,
% 1.11/0.98 ((~hskp3) | c2_1(a733)),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1324, 1319])).
% 1.11/0.98 tff(1326,plain,
% 1.11/0.98 ((~hskp3) | c2_1(a733)),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1325, 1319])).
% 1.11/0.98 tff(1327,plain,
% 1.11/0.98 ((~hskp3) | c2_1(a733)),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1326, 1319])).
% 1.11/0.98 tff(1328,plain,
% 1.11/0.98 ((~hskp3) | c2_1(a733)),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1327, 1319])).
% 1.11/0.98 tff(1329,plain,
% 1.11/0.98 (c2_1(a733)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1328, 1318])).
% 1.11/0.98 tff(1330,assumption,(~c0_1(a733)), introduced(assumption)).
% 1.11/0.98 tff(1331,plain,
% 1.11/0.98 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a733) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a733) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1332,plain,
% 1.11/0.98 ((hskp8 | (~ndr1_0) | c0_1(a733) | c3_1(a733) | (~c2_1(a733)) | c3_1(a732) | c0_1(a732) | c2_1(a732)) <=> (hskp8 | c0_1(a733) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1333,plain,
% 1.11/0.98 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a733) | c3_1(a733) | (~c2_1(a733)) | c3_1(a732) | c0_1(a732) | c2_1(a732))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a733) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733))))),
% 1.11/0.98 inference(monotonicity,[status(thm)],[1332])).
% 1.11/0.98 tff(1334,plain,
% 1.11/0.98 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a733) | c3_1(a733) | (~c2_1(a733)) | c3_1(a732) | c0_1(a732) | c2_1(a732))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a733) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)))),
% 1.11/0.98 inference(transitivity,[status(thm)],[1333, 1331])).
% 1.11/0.98 tff(1335,plain,
% 1.11/0.98 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a733) | c3_1(a733) | (~c2_1(a733)) | c3_1(a732) | c0_1(a732) | c2_1(a732))),
% 1.11/0.98 inference(quant_inst,[status(thm)],[])).
% 1.11/0.98 tff(1336,plain,
% 1.11/0.98 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a733) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733))),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1335, 1334])).
% 1.11/0.98 tff(1337,plain,
% 1.11/0.98 (hskp8 | (~ndr1_0) | c3_1(a733) | (~c2_1(a733))),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1336, 1330, 673, 672, 671, 670])).
% 1.11/0.98 tff(1338,plain,
% 1.11/0.98 (c3_1(a733)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1337, 1329, 1315, 1225])).
% 1.11/0.98 tff(1339,assumption,(~c1_1(a733)), introduced(assumption)).
% 1.11/0.98 tff(1340,plain,
% 1.11/0.98 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a793) | c0_1(a735) | c1_1(a733) | (~ndr1_0) | (~c3_1(a733)) | (~c2_1(a733)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c3_1(a793)) | (~c0_1(a793)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a735) | c1_1(a733) | (~ndr1_0) | (~c3_1(a733)) | (~c2_1(a733)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1341,plain,
% 1.11/0.98 (((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a733) | (~c2_1(a733)) | (~c3_1(a733)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735))) <=> (c2_1(a793) | c0_1(a735) | c1_1(a733) | (~ndr1_0) | (~c3_1(a733)) | (~c2_1(a733)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1342,plain,
% 1.11/0.98 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a733) | (~c2_1(a733)) | (~c3_1(a733)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a793) | c0_1(a735) | c1_1(a733) | (~ndr1_0) | (~c3_1(a733)) | (~c2_1(a733)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c3_1(a793)) | (~c0_1(a793))))),
% 1.11/0.98 inference(monotonicity,[status(thm)],[1341])).
% 1.11/0.98 tff(1343,plain,
% 1.11/0.98 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a733) | (~c2_1(a733)) | (~c3_1(a733)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a735) | c1_1(a733) | (~ndr1_0) | (~c3_1(a733)) | (~c2_1(a733)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.11/0.98 inference(transitivity,[status(thm)],[1342, 1340])).
% 1.11/0.98 tff(1344,plain,
% 1.11/0.98 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a733) | (~c2_1(a733)) | (~c3_1(a733)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735)))),
% 1.11/0.98 inference(quant_inst,[status(thm)],[])).
% 1.11/0.98 tff(1345,plain,
% 1.11/0.98 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a735) | c1_1(a733) | (~ndr1_0) | (~c3_1(a733)) | (~c2_1(a733)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c3_1(a793)) | (~c0_1(a793))),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1344, 1343])).
% 1.11/0.98 tff(1346,plain,
% 1.11/0.98 ((~c3_1(a733)) | (~c2_1(a733))),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1345, 1315, 983, 982, 524, 523, 959, 496, 1339, 494])).
% 1.11/0.98 tff(1347,plain,
% 1.11/0.98 ($false),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1346, 1338, 1329])).
% 1.11/0.98 tff(1348,plain,(c3_1(a744) | (~ndr1_0) | (~c0_1(a793)) | (~c3_1(a793)) | (~c2_1(a735)) | (~c3_1(a735)) | c2_1(a793) | c0_1(a735) | c1_1(a733) | c0_1(a733) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~c1_1(a734)) | c0_1(a744) | c1_1(a744) | c3_1(a734) | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.11/0.98 tff(1349,plain,
% 1.11/0.98 ($false),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1348, 1314, 1313, 1102, 1192, 1312, 1281, 1306, 496, 1275, 1256, 673, 672, 671, 116, 1190, 1191, 33, 22])).
% 1.11/0.98 tff(1350,plain,(c3_1(a744) | (~c1_1(a734)) | c0_1(a735) | c0_1(a732) | c2_1(a732) | c3_1(a732) | c0_1(a744) | c1_1(a744) | c3_1(a734) | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.11/0.98 tff(1351,plain,
% 1.11/0.98 (c3_1(a744)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1350, 1224, 496, 673, 672, 671, 1190, 1191, 33, 22])).
% 1.11/0.98 tff(1352,plain,
% 1.11/0.98 (c2_1(a744)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1208, 1351])).
% 1.11/0.98 tff(1353,plain,
% 1.11/0.98 (^[V: $i, U: $i] : refl((hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))))),
% 1.11/0.98 inference(bind,[status(th)],[])).
% 1.11/0.98 tff(1354,plain,
% 1.11/0.98 (![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.11/0.98 inference(quant_intro,[status(thm)],[1353])).
% 1.11/0.98 tff(1355,plain,
% 1.11/0.98 (![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1356,plain,
% 1.11/0.98 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c2_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)))), ((((~c2_1(U)) | (~ndr1_0)) | (~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))) | c0_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(V))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(V)))), (((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(V))))), ((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | (~c3_1(V)))), ((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | (~c3_1(V))))), (((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | (~c3_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V) | (~c3_1(V)))), (((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V) | (~c3_1(V))))), ((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c0_1(V) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))), ((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))))), (((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp7) <=> (((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) | hskp7))), rewrite((((~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) | hskp7) <=> (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))), (((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp7) <=> (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))))),
% 1.11/0.98 inference(bind,[status(th)],[])).
% 1.11/0.98 tff(1357,plain,
% 1.11/0.98 (![V: $i, U: $i] : ((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp7) <=> ![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.11/0.98 inference(quant_intro,[status(thm)],[1356])).
% 1.11/0.98 tff(1358,axiom,(![V: $i, U: $i] : ((((((((~c2_1(U)) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause151')).
% 1.11/0.98 tff(1359,plain,
% 1.11/0.98 (![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1358, 1357])).
% 1.11/0.98 tff(1360,plain,
% 1.11/0.98 (![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1359, 1355])).
% 1.11/0.98 tff(1361,plain,(
% 1.11/0.98 ![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.11/0.98 inference(skolemize,[status(sab)],[1360])).
% 1.11/0.98 tff(1362,plain,
% 1.11/0.98 (![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1361, 1354])).
% 1.11/0.98 tff(1363,plain,
% 1.11/0.98 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | c0_1(a744) | c1_1(a744) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c0_1(a744) | c1_1(a744) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a744)))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1364,plain,
% 1.11/0.98 ((hskp7 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744))) <=> (hskp7 | c0_1(a744) | c1_1(a744) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a744)))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1365,plain,
% 1.11/0.98 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | c0_1(a744) | c1_1(a744) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a744))))),
% 1.11/0.98 inference(monotonicity,[status(thm)],[1364])).
% 1.11/0.98 tff(1366,plain,
% 1.11/0.98 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c0_1(a744) | c1_1(a744) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a744)))),
% 1.11/0.98 inference(transitivity,[status(thm)],[1365, 1363])).
% 1.11/0.98 tff(1367,plain,
% 1.11/0.98 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744)))),
% 1.11/0.98 inference(quant_inst,[status(thm)],[])).
% 1.11/0.98 tff(1368,plain,
% 1.11/0.98 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c0_1(a744) | c1_1(a744) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a744))),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1367, 1366])).
% 1.11/0.98 tff(1369,plain,
% 1.11/0.98 (c3_1(a734) | (~c2_1(a734)) | (~c3_1(a744))),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1368, 116, 1125, 1190, 1191, 22, 1362])).
% 1.11/0.98 tff(1370,plain,
% 1.11/0.98 (~c2_1(a734)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1369, 1351, 33])).
% 1.11/0.98 tff(1371,plain,
% 1.11/0.98 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | c0_1(a744) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c2_1(a744)) | (~c3_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a744) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c2_1(a744)) | (~c3_1(a744)))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1372,plain,
% 1.11/0.98 ((hskp10 | (~ndr1_0) | c0_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734))) <=> (hskp10 | c0_1(a744) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c2_1(a744)) | (~c3_1(a744)))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1373,plain,
% 1.11/0.98 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | c0_1(a744) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c2_1(a744)) | (~c3_1(a744))))),
% 1.11/0.98 inference(monotonicity,[status(thm)],[1372])).
% 1.11/0.98 tff(1374,plain,
% 1.11/0.98 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a744) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c2_1(a744)) | (~c3_1(a744)))),
% 1.11/0.98 inference(transitivity,[status(thm)],[1373, 1371])).
% 1.11/0.98 tff(1375,plain,
% 1.11/0.98 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734)))),
% 1.11/0.98 inference(quant_inst,[status(thm)],[])).
% 1.11/0.98 tff(1376,plain,
% 1.11/0.98 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a744) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c2_1(a744)) | (~c3_1(a744))),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1375, 1374])).
% 1.11/0.98 tff(1377,plain,
% 1.11/0.98 (hskp10 | c2_1(a734) | (~c1_1(a734)) | (~c2_1(a744)) | (~c3_1(a744))),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1376, 116, 1190, 22, 1066])).
% 1.11/0.98 tff(1378,plain,
% 1.11/0.98 (hskp10),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1377, 1370, 1224, 1352, 1351])).
% 1.11/0.98 tff(1379,plain,
% 1.11/0.98 (~c2_1(a748)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1079, 1378])).
% 1.11/0.98 tff(1380,plain,
% 1.11/0.98 (~c1_1(a748)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1085, 1378])).
% 1.11/0.98 tff(1381,plain,
% 1.11/0.98 (~c0_1(a748)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1091, 1378])).
% 1.11/0.98 tff(1382,plain,
% 1.11/0.98 (hskp8),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1278, 241])).
% 1.11/0.98 tff(1383,plain,
% 1.11/0.98 ((ndr1_0 | (~hskp8)) <=> (ndr1_0 | (~hskp8))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1384,plain,
% 1.11/0.98 (((~hskp8) | ndr1_0) <=> (ndr1_0 | (~hskp8))),
% 1.11/0.98 inference(rewrite,[status(thm)],[])).
% 1.11/0.98 tff(1385,axiom,((~hskp8) | ndr1_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause22')).
% 1.11/0.98 tff(1386,plain,
% 1.11/0.98 (ndr1_0 | (~hskp8)),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1385, 1384])).
% 1.11/0.98 tff(1387,plain,
% 1.11/0.98 (ndr1_0 | (~hskp8)),
% 1.11/0.98 inference(modus_ponens,[status(thm)],[1386, 1383])).
% 1.11/0.98 tff(1388,plain,
% 1.11/0.98 (ndr1_0),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1387, 1382])).
% 1.11/0.98 tff(1389,plain,
% 1.11/0.98 (c3_1(a744)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[737, 1382])).
% 1.11/0.98 tff(1390,plain,
% 1.11/0.98 ((~ndr1_0) | c2_1(a744) | (~c3_1(a744))),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1207, 1126, 1125, 1190, 1124])).
% 1.11/0.98 tff(1391,plain,
% 1.11/0.98 (c2_1(a744)),
% 1.11/0.98 inference(unit_resolution,[status(thm)],[1390, 1389, 1388])).
% 1.11/0.98 tff(1392,assumption,(~c1_1(a748)), introduced(assumption)).
% 1.11/0.98 tff(1393,assumption,(~c0_1(a748)), introduced(assumption)).
% 1.11/0.99 tff(1394,assumption,(~c2_1(a748)), introduced(assumption)).
% 1.11/0.99 tff(1395,plain,
% 1.11/0.99 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | c0_1(a748) | c1_1(a748) | c2_1(a748) | (~ndr1_0))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c0_1(a748) | c1_1(a748) | c2_1(a748) | (~ndr1_0))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1396,plain,
% 1.11/0.99 ((hskp0 | hskp1 | (~ndr1_0) | c2_1(a748) | c1_1(a748) | c0_1(a748)) <=> (hskp0 | hskp1 | c0_1(a748) | c1_1(a748) | c2_1(a748) | (~ndr1_0))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1397,plain,
% 1.11/0.99 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a748) | c1_1(a748) | c0_1(a748))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | c0_1(a748) | c1_1(a748) | c2_1(a748) | (~ndr1_0)))),
% 1.11/0.99 inference(monotonicity,[status(thm)],[1396])).
% 1.11/0.99 tff(1398,plain,
% 1.11/0.99 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a748) | c1_1(a748) | c0_1(a748))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c0_1(a748) | c1_1(a748) | c2_1(a748) | (~ndr1_0))),
% 1.11/0.99 inference(transitivity,[status(thm)],[1397, 1395])).
% 1.11/0.99 tff(1399,plain,
% 1.11/0.99 ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a748) | c1_1(a748) | c0_1(a748))),
% 1.11/0.99 inference(quant_inst,[status(thm)],[])).
% 1.11/0.99 tff(1400,plain,
% 1.11/0.99 ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c0_1(a748) | c1_1(a748) | c2_1(a748) | (~ndr1_0)),
% 1.11/0.99 inference(modus_ponens,[status(thm)],[1399, 1398])).
% 1.11/0.99 tff(1401,plain,
% 1.11/0.99 (hskp0 | hskp1 | c0_1(a748) | c1_1(a748) | (~ndr1_0)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1400, 1394, 260])).
% 1.11/0.99 tff(1402,plain,
% 1.11/0.99 (hskp1),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1401, 1388, 241, 1393, 1392])).
% 1.11/0.99 tff(1403,plain,
% 1.11/0.99 (c3_1(a731)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[72, 1402])).
% 1.11/0.99 tff(1404,plain,
% 1.11/0.99 (c1_1(a731)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[83, 1402])).
% 1.11/0.99 tff(1405,plain,
% 1.11/0.99 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | c0_1(a731) | (~c2_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp0 | c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | c0_1(a731) | (~c2_1(a744)))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1406,plain,
% 1.11/0.99 ((hskp0 | (~ndr1_0) | c2_1(a731) | c0_1(a731) | (~c1_1(a731)) | c1_1(a744) | c0_1(a744) | (~c2_1(a744))) <=> (hskp0 | c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | c0_1(a731) | (~c2_1(a744)))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1407,plain,
% 1.11/0.99 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a731) | c0_1(a731) | (~c1_1(a731)) | c1_1(a744) | c0_1(a744) | (~c2_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | c0_1(a731) | (~c2_1(a744))))),
% 1.11/0.99 inference(monotonicity,[status(thm)],[1406])).
% 1.11/0.99 tff(1408,plain,
% 1.11/0.99 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a731) | c0_1(a731) | (~c1_1(a731)) | c1_1(a744) | c0_1(a744) | (~c2_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp0 | c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | c0_1(a731) | (~c2_1(a744)))),
% 1.11/0.99 inference(transitivity,[status(thm)],[1407, 1405])).
% 1.11/0.99 tff(1409,plain,
% 1.11/0.99 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a731) | c0_1(a731) | (~c1_1(a731)) | c1_1(a744) | c0_1(a744) | (~c2_1(a744)))),
% 1.11/0.99 inference(quant_inst,[status(thm)],[])).
% 1.11/0.99 tff(1410,plain,
% 1.11/0.99 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp0 | c0_1(a744) | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | c0_1(a731) | (~c2_1(a744))),
% 1.11/0.99 inference(modus_ponens,[status(thm)],[1409, 1408])).
% 1.11/0.99 tff(1411,plain,
% 1.11/0.99 (hskp0 | c0_1(a744) | (~ndr1_0) | (~c1_1(a731)) | c0_1(a731) | (~c2_1(a744))),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1410, 1191, 1129, 278])).
% 1.11/0.99 tff(1412,plain,
% 1.11/0.99 (c0_1(a731)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1411, 1404, 241, 1190, 1388, 1391])).
% 1.11/0.99 tff(1413,plain,
% 1.11/0.99 ((~ndr1_0) | (~c3_1(a731)) | (~c0_1(a731)) | (~c2_1(a744)) | (~c3_1(a744))),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1215, 1190, 1191, 1129, 494])).
% 1.11/0.99 tff(1414,plain,
% 1.11/0.99 ($false),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1413, 1412, 1403, 1388, 1389, 1391])).
% 1.11/0.99 tff(1415,plain,(hskp0 | c0_1(a744) | c1_1(a744) | c2_1(a731) | hskp12 | hskp7 | c0_1(a748) | c1_1(a748) | c2_1(a748)), inference(lemma,lemma(discharge,[]))).
% 1.11/0.99 tff(1416,plain,
% 1.11/0.99 (hskp0),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1415, 1381, 1191, 1129, 1126, 1125, 1190, 1380, 1379])).
% 1.11/0.99 tff(1417,plain,
% 1.11/0.99 (~c1_1(a730)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[411, 1416])).
% 1.11/0.99 tff(1418,plain,
% 1.11/0.99 (c3_1(a730)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[471, 1416])).
% 1.11/0.99 tff(1419,plain,
% 1.11/0.99 (c0_1(a730)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[482, 1416])).
% 1.11/0.99 tff(1420,plain,
% 1.11/0.99 (hskp25),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1300, 116, 1419, 1418, 1381, 1380, 1379, 1417, 20])).
% 1.11/0.99 tff(1421,plain,
% 1.11/0.99 (c3_1(a729)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[831, 1420])).
% 1.11/0.99 tff(1422,plain,
% 1.11/0.99 (c2_1(a729)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[842, 1420])).
% 1.11/0.99 tff(1423,plain,
% 1.11/0.99 (c0_1(a729)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[853, 1420])).
% 1.11/0.99 tff(1424,plain,
% 1.11/0.99 (hskp21),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[947, 116, 1423, 1422, 1421, 506])).
% 1.11/0.99 tff(1425,plain,
% 1.11/0.99 (~c2_1(a793)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[521, 1424])).
% 1.11/0.99 tff(1426,plain,
% 1.11/0.99 (c0_1(a793)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[545, 1424])).
% 1.11/0.99 tff(1427,plain,
% 1.11/0.99 (c3_1(a793)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[534, 1424])).
% 1.11/0.99 tff(1428,assumption,(c3_1(a744)), introduced(assumption)).
% 1.11/0.99 tff(1429,plain,
% 1.11/0.99 (c2_1(a744)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1390, 1428, 1315])).
% 1.11/0.99 tff(1430,plain,
% 1.11/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a793) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a793)) | (~c0_1(a793)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1431,plain,
% 1.11/0.99 (((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744))) <=> (c2_1(a793) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1432,plain,
% 1.11/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a793) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a793)) | (~c0_1(a793))))),
% 1.11/0.99 inference(monotonicity,[status(thm)],[1431])).
% 1.11/0.99 tff(1433,plain,
% 1.11/0.99 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.11/0.99 inference(transitivity,[status(thm)],[1432, 1430])).
% 1.11/0.99 tff(1434,plain,
% 1.11/0.99 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744)))),
% 1.11/0.99 inference(quant_inst,[status(thm)],[])).
% 1.11/0.99 tff(1435,plain,
% 1.11/0.99 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a793)) | (~c0_1(a793))),
% 1.11/0.99 inference(modus_ponens,[status(thm)],[1434, 1433])).
% 1.11/0.99 tff(1436,plain,
% 1.11/0.99 ((~c2_1(a744)) | (~c3_1(a744))),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1435, 1315, 983, 982, 959, 1190, 1191, 494])).
% 1.11/0.99 tff(1437,plain,
% 1.11/0.99 ($false),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1436, 1429, 1428])).
% 1.11/0.99 tff(1438,plain,((~c3_1(a744)) | (~ndr1_0) | (~c0_1(a793)) | (~c3_1(a793)) | c2_1(a793) | c0_1(a744) | c1_1(a744) | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.11/0.99 tff(1439,plain,
% 1.11/0.99 ($false),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1438, 1427, 1426, 116, 1351, 1425, 1190, 1191, 1126, 1125])).
% 1.11/0.99 tff(1440,plain,(c2_1(a731) | c0_1(a744) | c1_1(a744) | hskp12 | hskp7 | c0_1(a734) | c3_1(a734) | c0_1(a735) | c0_1(a732) | c2_1(a732) | c3_1(a732)), inference(lemma,lemma(discharge,[]))).
% 1.11/0.99 tff(1441,plain,
% 1.11/0.99 (c2_1(a731)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1440, 673, 1191, 1126, 1125, 22, 33, 496, 1190, 672, 671])).
% 1.11/0.99 tff(1442,plain,
% 1.11/0.99 (~hskp1),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[61, 1441])).
% 1.11/0.99 tff(1443,plain,
% 1.11/0.99 (hskp4),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[156, 1442, 1125])).
% 1.11/0.99 tff(1444,plain,
% 1.11/0.99 (c1_1(a734)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[54, 1443])).
% 1.11/0.99 tff(1445,plain,
% 1.11/0.99 (c3_1(a744)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1350, 1444, 496, 673, 672, 671, 1190, 1191, 33, 22])).
% 1.11/0.99 tff(1446,plain,
% 1.11/0.99 (~c2_1(a734)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1369, 1445, 33])).
% 1.11/0.99 tff(1447,plain,
% 1.11/0.99 (c2_1(a744)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1208, 1445])).
% 1.11/0.99 tff(1448,plain,
% 1.11/0.99 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | c0_1(a744) | c1_1(a744) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c2_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp0 | c0_1(a744) | c1_1(a744) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c2_1(a744)))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1449,plain,
% 1.11/0.99 ((hskp0 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | (~c1_1(a734)) | c1_1(a744) | c0_1(a744) | (~c2_1(a744))) <=> (hskp0 | c0_1(a744) | c1_1(a744) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c2_1(a744)))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1450,plain,
% 1.11/0.99 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | (~c1_1(a734)) | c1_1(a744) | c0_1(a744) | (~c2_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | c0_1(a744) | c1_1(a744) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c2_1(a744))))),
% 1.11/0.99 inference(monotonicity,[status(thm)],[1449])).
% 1.11/0.99 tff(1451,plain,
% 1.11/0.99 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | (~c1_1(a734)) | c1_1(a744) | c0_1(a744) | (~c2_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp0 | c0_1(a744) | c1_1(a744) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c2_1(a744)))),
% 1.11/0.99 inference(transitivity,[status(thm)],[1450, 1448])).
% 1.11/0.99 tff(1452,plain,
% 1.11/0.99 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | (~c1_1(a734)) | c1_1(a744) | c0_1(a744) | (~c2_1(a744)))),
% 1.11/0.99 inference(quant_inst,[status(thm)],[])).
% 1.11/0.99 tff(1453,plain,
% 1.11/0.99 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp0 | c0_1(a744) | c1_1(a744) | c0_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c2_1(a744))),
% 1.11/0.99 inference(modus_ponens,[status(thm)],[1452, 1451])).
% 1.11/0.99 tff(1454,plain,
% 1.11/0.99 (hskp0),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1453, 116, 1444, 1190, 1191, 22, 278, 1447, 1446])).
% 1.11/0.99 tff(1455,plain,
% 1.11/0.99 (~c1_1(a730)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[411, 1454])).
% 1.11/0.99 tff(1456,plain,
% 1.11/0.99 (hskp10),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1377, 1446, 1444, 1447, 1445])).
% 1.11/0.99 tff(1457,plain,
% 1.11/0.99 (~c2_1(a748)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1079, 1456])).
% 1.11/0.99 tff(1458,plain,
% 1.11/0.99 (~c1_1(a748)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1085, 1456])).
% 1.11/0.99 tff(1459,plain,
% 1.11/0.99 (~c0_1(a748)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1091, 1456])).
% 1.11/0.99 tff(1460,plain,
% 1.11/0.99 (c3_1(a730)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[471, 1454])).
% 1.11/0.99 tff(1461,plain,
% 1.11/0.99 (c0_1(a730)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[482, 1454])).
% 1.11/0.99 tff(1462,plain,
% 1.11/0.99 (hskp25),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1300, 116, 1461, 1460, 1459, 1458, 1457, 1455, 20])).
% 1.11/0.99 tff(1463,plain,
% 1.11/0.99 (c3_1(a729)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[831, 1462])).
% 1.11/0.99 tff(1464,plain,
% 1.11/0.99 (c2_1(a729)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[842, 1462])).
% 1.11/0.99 tff(1465,plain,
% 1.11/0.99 (c0_1(a729)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[853, 1462])).
% 1.11/0.99 tff(1466,plain,
% 1.11/0.99 (hskp21),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[947, 116, 1465, 1464, 1463, 506])).
% 1.11/0.99 tff(1467,plain,
% 1.11/0.99 (~c2_1(a793)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[521, 1466])).
% 1.11/0.99 tff(1468,plain,
% 1.11/0.99 (c0_1(a793)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[545, 1466])).
% 1.11/0.99 tff(1469,plain,
% 1.11/0.99 (c3_1(a793)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[534, 1466])).
% 1.11/0.99 tff(1470,plain,
% 1.11/0.99 ($false),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1438, 1469, 1468, 116, 1445, 1467, 1190, 1191, 1126, 1125])).
% 1.11/0.99 tff(1471,plain,(c0_1(a732) | c0_1(a744) | c1_1(a744) | hskp12 | hskp7 | c0_1(a734) | c3_1(a734) | c0_1(a735) | c2_1(a732) | c3_1(a732)), inference(lemma,lemma(discharge,[]))).
% 1.11/0.99 tff(1472,plain,
% 1.11/0.99 ($false),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1471, 1223, 1222, 1191, 1126, 1125, 22, 33, 496, 1221, 1190])).
% 1.11/0.99 tff(1473,plain,((~hskp2) | c1_1(a744) | hskp12 | hskp7 | c0_1(a734) | c3_1(a734) | c0_1(a735) | c0_1(a744)), inference(lemma,lemma(discharge,[]))).
% 1.11/0.99 tff(1474,plain,
% 1.11/0.99 (~hskp2),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1473, 496, 1126, 1125, 22, 1190, 33, 1191])).
% 1.11/0.99 tff(1475,plain,
% 1.11/0.99 (c1_1(a734)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1143, 33, 1125, 22, 1126])).
% 1.11/0.99 tff(1476,assumption,(~c2_1(a744)), introduced(assumption)).
% 1.11/0.99 tff(1477,plain,
% 1.11/0.99 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c3_1(a744) | c0_1(a744) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c2_1(a744))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c3_1(a744) | c0_1(a744) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c2_1(a744))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1478,plain,
% 1.11/0.99 ((hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a744) | c0_1(a744) | c2_1(a744)) <=> (hskp8 | c3_1(a744) | c0_1(a744) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c2_1(a744))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1479,plain,
% 1.11/0.99 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a744) | c0_1(a744) | c2_1(a744))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c3_1(a744) | c0_1(a744) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c2_1(a744)))),
% 1.11/0.99 inference(monotonicity,[status(thm)],[1478])).
% 1.11/0.99 tff(1480,plain,
% 1.11/0.99 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a744) | c0_1(a744) | c2_1(a744))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c3_1(a744) | c0_1(a744) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c2_1(a744))),
% 1.11/0.99 inference(transitivity,[status(thm)],[1479, 1477])).
% 1.11/0.99 tff(1481,plain,
% 1.11/0.99 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a744) | c0_1(a744) | c2_1(a744))),
% 1.11/0.99 inference(quant_inst,[status(thm)],[])).
% 1.11/0.99 tff(1482,plain,
% 1.11/0.99 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c3_1(a744) | c0_1(a744) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c2_1(a744)),
% 1.11/0.99 inference(modus_ponens,[status(thm)],[1481, 1480])).
% 1.11/0.99 tff(1483,plain,
% 1.11/0.99 ((~c2_1(a734)) | c2_1(a744)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1482, 1225, 116, 1192, 1190, 22, 33, 670])).
% 1.11/0.99 tff(1484,plain,
% 1.11/0.99 (~c2_1(a734)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1483, 1476])).
% 1.11/0.99 tff(1485,plain,
% 1.11/0.99 (hskp5),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1273, 1484, 33, 1475])).
% 1.11/0.99 tff(1486,plain,
% 1.11/0.99 (c3_1(a735)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[443, 1485])).
% 1.11/0.99 tff(1487,plain,
% 1.11/0.99 (c2_1(a735)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[454, 1485])).
% 1.11/0.99 tff(1488,plain,
% 1.11/0.99 (hskp10),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1288, 1487, 1475, 1484, 1486])).
% 1.11/0.99 tff(1489,plain,
% 1.11/0.99 (~c2_1(a748)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1079, 1488])).
% 1.11/0.99 tff(1490,plain,
% 1.11/0.99 (~c0_1(a748)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1091, 1488])).
% 1.11/0.99 tff(1491,plain,
% 1.11/0.99 (((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | c0_1(a748) | c2_1(a748) | (~ndr1_0) | (~c3_1(a748)))) <=> ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp12 | hskp7 | c0_1(a748) | c2_1(a748) | (~ndr1_0) | (~c3_1(a748)))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1492,plain,
% 1.11/0.99 ((hskp12 | hskp7 | (~ndr1_0) | c2_1(a748) | c0_1(a748) | (~c3_1(a748))) <=> (hskp12 | hskp7 | c0_1(a748) | c2_1(a748) | (~ndr1_0) | (~c3_1(a748)))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1493,plain,
% 1.11/0.99 (((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | (~ndr1_0) | c2_1(a748) | c0_1(a748) | (~c3_1(a748)))) <=> ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | c0_1(a748) | c2_1(a748) | (~ndr1_0) | (~c3_1(a748))))),
% 1.11/0.99 inference(monotonicity,[status(thm)],[1492])).
% 1.11/0.99 tff(1494,plain,
% 1.11/0.99 (((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | (~ndr1_0) | c2_1(a748) | c0_1(a748) | (~c3_1(a748)))) <=> ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp12 | hskp7 | c0_1(a748) | c2_1(a748) | (~ndr1_0) | (~c3_1(a748)))),
% 1.11/0.99 inference(transitivity,[status(thm)],[1493, 1491])).
% 1.11/0.99 tff(1495,plain,
% 1.11/0.99 ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | (~ndr1_0) | c2_1(a748) | c0_1(a748) | (~c3_1(a748)))),
% 1.11/0.99 inference(quant_inst,[status(thm)],[])).
% 1.11/0.99 tff(1496,plain,
% 1.11/0.99 ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp12 | hskp7 | c0_1(a748) | c2_1(a748) | (~ndr1_0) | (~c3_1(a748))),
% 1.11/0.99 inference(modus_ponens,[status(thm)],[1495, 1494])).
% 1.11/0.99 tff(1497,plain,
% 1.11/0.99 (~c3_1(a748)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1496, 116, 1126, 1125, 1490, 1489, 1124])).
% 1.11/0.99 tff(1498,plain,
% 1.11/0.99 (hskp3),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1249, 116, 1192, 1475, 1190, 1191, 33, 1243, 1484])).
% 1.11/0.99 tff(1499,plain,
% 1.11/0.99 (~c0_1(a733)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1255, 1498])).
% 1.11/0.99 tff(1500,plain,
% 1.11/0.99 (c2_1(a733)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1328, 1498])).
% 1.11/0.99 tff(1501,plain,
% 1.11/0.99 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a748) | c2_1(a748) | c0_1(a733) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)) | c3_1(a748))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a748) | c2_1(a748) | c0_1(a733) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)) | c3_1(a748))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1502,plain,
% 1.11/0.99 ((hskp8 | (~ndr1_0) | c0_1(a733) | c3_1(a733) | (~c2_1(a733)) | c3_1(a748) | c0_1(a748) | c2_1(a748)) <=> (hskp8 | c0_1(a748) | c2_1(a748) | c0_1(a733) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)) | c3_1(a748))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1503,plain,
% 1.11/0.99 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a733) | c3_1(a733) | (~c2_1(a733)) | c3_1(a748) | c0_1(a748) | c2_1(a748))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a748) | c2_1(a748) | c0_1(a733) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)) | c3_1(a748)))),
% 1.11/0.99 inference(monotonicity,[status(thm)],[1502])).
% 1.11/0.99 tff(1504,plain,
% 1.11/0.99 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a733) | c3_1(a733) | (~c2_1(a733)) | c3_1(a748) | c0_1(a748) | c2_1(a748))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a748) | c2_1(a748) | c0_1(a733) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)) | c3_1(a748))),
% 1.11/0.99 inference(transitivity,[status(thm)],[1503, 1501])).
% 1.11/0.99 tff(1505,plain,
% 1.11/0.99 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a733) | c3_1(a733) | (~c2_1(a733)) | c3_1(a748) | c0_1(a748) | c2_1(a748))),
% 1.11/0.99 inference(quant_inst,[status(thm)],[])).
% 1.11/0.99 tff(1506,plain,
% 1.11/0.99 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a748) | c2_1(a748) | c0_1(a733) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)) | c3_1(a748)),
% 1.11/0.99 inference(modus_ponens,[status(thm)],[1505, 1504])).
% 1.11/0.99 tff(1507,plain,
% 1.11/0.99 (c3_1(a733)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1506, 1225, 116, 1500, 1490, 1489, 1499, 670, 1497])).
% 1.11/0.99 tff(1508,plain,
% 1.11/0.99 (~c1_1(a733)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1311, 1498])).
% 1.11/0.99 tff(1509,plain,
% 1.11/0.99 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | c0_1(a744) | c1_1(a744) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a744))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c0_1(a744) | c1_1(a744) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a744))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1510,plain,
% 1.11/0.99 ((hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a744) | c0_1(a744) | c2_1(a744)) <=> (hskp25 | c0_1(a744) | c1_1(a744) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a744))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1511,plain,
% 1.11/0.99 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a744) | c0_1(a744) | c2_1(a744))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | c0_1(a744) | c1_1(a744) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a744)))),
% 1.11/0.99 inference(monotonicity,[status(thm)],[1510])).
% 1.11/0.99 tff(1512,plain,
% 1.11/0.99 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a744) | c0_1(a744) | c2_1(a744))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c0_1(a744) | c1_1(a744) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a744))),
% 1.11/0.99 inference(transitivity,[status(thm)],[1511, 1509])).
% 1.11/0.99 tff(1513,plain,
% 1.11/0.99 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a744) | c0_1(a744) | c2_1(a744))),
% 1.11/0.99 inference(quant_inst,[status(thm)],[])).
% 1.11/0.99 tff(1514,plain,
% 1.11/0.99 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c0_1(a744) | c1_1(a744) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a744)),
% 1.11/0.99 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 1.11/0.99 tff(1515,plain,
% 1.11/0.99 (hskp25 | c2_1(a744)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1514, 116, 1294, 1293, 1190, 1191, 1280, 20])).
% 1.11/0.99 tff(1516,plain,
% 1.11/0.99 (hskp25),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1515, 1476])).
% 1.11/0.99 tff(1517,plain,
% 1.11/0.99 (c3_1(a729)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[831, 1516])).
% 1.11/0.99 tff(1518,plain,
% 1.11/0.99 (c2_1(a729)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[842, 1516])).
% 1.11/0.99 tff(1519,plain,
% 1.11/0.99 (c0_1(a729)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[853, 1516])).
% 1.11/0.99 tff(1520,plain,
% 1.11/0.99 (hskp21),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[947, 116, 1519, 1518, 1517, 506])).
% 1.11/0.99 tff(1521,plain,
% 1.11/0.99 (~c2_1(a793)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[521, 1520])).
% 1.11/0.99 tff(1522,plain,
% 1.11/0.99 (c3_1(a793)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[534, 1520])).
% 1.11/0.99 tff(1523,plain,
% 1.11/0.99 (c0_1(a793)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[545, 1520])).
% 1.11/0.99 tff(1524,plain,
% 1.11/0.99 ($false),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1345, 116, 1523, 1522, 1487, 1486, 1500, 1521, 496, 1508, 494, 1507])).
% 1.11/0.99 tff(1525,plain,(c2_1(a744) | c0_1(a735) | c3_1(a744) | c0_1(a744) | c1_1(a744) | c3_1(a734) | hskp12 | hskp7 | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.11/0.99 tff(1526,plain,
% 1.11/0.99 (c2_1(a744)),
% 1.11/0.99 inference(unit_resolution,[status(thm)],[1525, 496, 22, 1190, 1191, 33, 1126, 1125, 1192])).
% 1.11/0.99 tff(1527,plain,
% 1.11/0.99 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c2_1(a744)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp2 | hskp1 | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c2_1(a744)))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1528,plain,
% 1.11/0.99 ((hskp2 | hskp1 | (~ndr1_0) | c1_1(a744) | c0_1(a744) | (~c2_1(a744))) <=> (hskp2 | hskp1 | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c2_1(a744)))),
% 1.11/0.99 inference(rewrite,[status(thm)],[])).
% 1.11/0.99 tff(1529,plain,
% 1.11/0.99 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | c1_1(a744) | c0_1(a744) | (~c2_1(a744)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c2_1(a744))))),
% 1.11/0.99 inference(monotonicity,[status(thm)],[1528])).
% 1.11/0.99 tff(1530,plain,
% 1.11/0.99 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | c1_1(a744) | c0_1(a744) | (~c2_1(a744)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp2 | hskp1 | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c2_1(a744)))),
% 1.11/1.00 inference(transitivity,[status(thm)],[1529, 1527])).
% 1.11/1.00 tff(1531,plain,
% 1.11/1.00 ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | c1_1(a744) | c0_1(a744) | (~c2_1(a744)))),
% 1.11/1.00 inference(quant_inst,[status(thm)],[])).
% 1.11/1.00 tff(1532,plain,
% 1.11/1.00 ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp2 | hskp1 | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c2_1(a744))),
% 1.11/1.00 inference(modus_ponens,[status(thm)],[1531, 1530])).
% 1.11/1.00 tff(1533,plain,
% 1.11/1.00 (hskp2 | hskp1 | c1_1(a744) | (~c2_1(a744))),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1532, 116, 1190, 290])).
% 1.11/1.00 tff(1534,plain,
% 1.11/1.00 ($false),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1533, 1526, 1474, 1191, 1219])).
% 1.11/1.00 tff(1535,plain,(c0_1(a735) | c1_1(a744) | c0_1(a744) | c0_1(a734) | c3_1(a734) | hskp12 | hskp7 | c3_1(a744)), inference(lemma,lemma(discharge,[]))).
% 1.11/1.00 tff(1536,plain,
% 1.11/1.00 (c0_1(a735)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1535, 1192, 1190, 22, 33, 1126, 1125, 1191])).
% 1.11/1.00 tff(1537,plain,
% 1.11/1.00 (~hskp5),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[460, 1536])).
% 1.11/1.00 tff(1538,plain,
% 1.11/1.00 (((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | c3_1(a744) | c0_1(a744) | (~ndr1_0) | c2_1(a744))) <=> ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | hskp9 | hskp5 | c3_1(a744) | c0_1(a744) | (~ndr1_0) | c2_1(a744))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1539,plain,
% 1.11/1.00 ((hskp9 | hskp5 | (~ndr1_0) | c2_1(a744) | c0_1(a744) | c3_1(a744)) <=> (hskp9 | hskp5 | c3_1(a744) | c0_1(a744) | (~ndr1_0) | c2_1(a744))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1540,plain,
% 1.11/1.00 (((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | (~ndr1_0) | c2_1(a744) | c0_1(a744) | c3_1(a744))) <=> ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | c3_1(a744) | c0_1(a744) | (~ndr1_0) | c2_1(a744)))),
% 1.11/1.00 inference(monotonicity,[status(thm)],[1539])).
% 1.11/1.00 tff(1541,plain,
% 1.11/1.00 (((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | (~ndr1_0) | c2_1(a744) | c0_1(a744) | c3_1(a744))) <=> ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | hskp9 | hskp5 | c3_1(a744) | c0_1(a744) | (~ndr1_0) | c2_1(a744))),
% 1.11/1.00 inference(transitivity,[status(thm)],[1540, 1538])).
% 1.11/1.00 tff(1542,plain,
% 1.11/1.00 ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | (~ndr1_0) | c2_1(a744) | c0_1(a744) | c3_1(a744))),
% 1.11/1.00 inference(quant_inst,[status(thm)],[])).
% 1.11/1.00 tff(1543,plain,
% 1.11/1.00 ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | hskp9 | hskp5 | c3_1(a744) | c0_1(a744) | (~ndr1_0) | c2_1(a744)),
% 1.11/1.00 inference(modus_ponens,[status(thm)],[1542, 1541])).
% 1.11/1.00 tff(1544,plain,
% 1.11/1.00 (hskp5 | c3_1(a744) | c2_1(a744)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1543, 116, 1157, 1190, 1181])).
% 1.11/1.00 tff(1545,plain,
% 1.11/1.00 (c2_1(a744)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1544, 1537, 1192])).
% 1.11/1.00 tff(1546,plain,
% 1.11/1.00 (^[V: $i, U: $i] : refl((hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V))) <=> (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V))))),
% 1.11/1.00 inference(bind,[status(th)],[])).
% 1.11/1.00 tff(1547,plain,
% 1.11/1.00 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))),
% 1.11/1.00 inference(quant_intro,[status(thm)],[1546])).
% 1.11/1.00 tff(1548,plain,
% 1.11/1.00 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1549,plain,
% 1.11/1.00 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V)))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V))))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V))))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c1_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V))) | c3_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_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) | (~c2_1(V))))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c1_1(V)) | c3_1(V)) | hskp5) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V))) | hskp5))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V))) | hskp5) <=> (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c1_1(V)) | c3_1(V)) | hskp5) <=> (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))))),
% 1.11/1.00 inference(bind,[status(th)],[])).
% 1.11/1.00 tff(1550,plain,
% 1.11/1.00 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c1_1(V)) | c3_1(V)) | hskp5) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))),
% 1.11/1.00 inference(quant_intro,[status(thm)],[1549])).
% 1.11/1.00 tff(1551,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c1_1(U)) | c1_1(V)) | c3_1(V)) | hskp5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause161')).
% 1.11/1.00 tff(1552,plain,
% 1.11/1.00 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))),
% 1.11/1.00 inference(modus_ponens,[status(thm)],[1551, 1550])).
% 1.11/1.00 tff(1553,plain,
% 1.11/1.00 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))),
% 1.11/1.00 inference(modus_ponens,[status(thm)],[1552, 1548])).
% 1.11/1.00 tff(1554,plain,(
% 1.11/1.00 ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))),
% 1.11/1.00 inference(skolemize,[status(sab)],[1553])).
% 1.11/1.00 tff(1555,plain,
% 1.11/1.00 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))),
% 1.11/1.00 inference(modus_ponens,[status(thm)],[1554, 1547])).
% 1.11/1.00 tff(1556,plain,
% 1.11/1.00 (c3_1(a730)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[471, 1159])).
% 1.11/1.00 tff(1557,plain,
% 1.11/1.00 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | c3_1(a744) | c1_1(a744) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c3_1(a744) | c1_1(a744) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1558,plain,
% 1.11/1.00 ((hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a744) | c1_1(a744) | (~c2_1(a744))) <=> (hskp5 | c3_1(a744) | c1_1(a744) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1559,plain,
% 1.11/1.00 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a744) | c1_1(a744) | (~c2_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | c3_1(a744) | c1_1(a744) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744))))),
% 1.11/1.00 inference(monotonicity,[status(thm)],[1558])).
% 1.11/1.00 tff(1560,plain,
% 1.11/1.00 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a744) | c1_1(a744) | (~c2_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c3_1(a744) | c1_1(a744) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)))),
% 1.11/1.00 inference(transitivity,[status(thm)],[1559, 1557])).
% 1.11/1.00 tff(1561,plain,
% 1.11/1.00 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a744) | c1_1(a744) | (~c2_1(a744)))),
% 1.11/1.00 inference(quant_inst,[status(thm)],[])).
% 1.11/1.00 tff(1562,plain,
% 1.11/1.00 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c3_1(a744) | c1_1(a744) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744))),
% 1.11/1.00 inference(modus_ponens,[status(thm)],[1561, 1560])).
% 1.11/1.00 tff(1563,plain,
% 1.11/1.00 (hskp5 | (~c2_1(a744))),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1562, 116, 1192, 1160, 1556, 1191, 1161, 1555])).
% 1.11/1.00 tff(1564,plain,
% 1.11/1.00 ($false),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1563, 1545, 1537])).
% 1.11/1.00 tff(1565,plain,(c3_1(a744) | c1_1(a744) | c0_1(a744) | c0_1(a734) | c3_1(a734) | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.11/1.00 tff(1566,plain,
% 1.11/1.00 (c3_1(a744)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1565, 1191, 1190, 22, 33, 1126, 1125])).
% 1.11/1.00 tff(1567,plain,
% 1.11/1.00 ((~c2_1(a734)) | (~c3_1(a744))),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1368, 116, 1125, 1190, 1191, 22, 33, 1362])).
% 1.11/1.00 tff(1568,plain,
% 1.11/1.00 (~c2_1(a734)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1567, 1566])).
% 1.11/1.00 tff(1569,plain,
% 1.11/1.00 (hskp5),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1188, 1568, 22])).
% 1.11/1.00 tff(1570,plain,
% 1.11/1.00 (c2_1(a744)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1208, 1566])).
% 1.11/1.00 tff(1571,plain,
% 1.11/1.00 (hskp2),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1533, 1570, 1191, 1219])).
% 1.11/1.00 tff(1572,plain,
% 1.11/1.00 (c0_1(a735)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1473, 1571, 1126, 1125, 22, 1190, 33, 1191])).
% 1.11/1.00 tff(1573,plain,
% 1.11/1.00 ($false),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[460, 1572, 1569])).
% 1.11/1.00 tff(1574,plain,(c1_1(a744) | hskp12 | hskp7 | c0_1(a734) | c0_1(a744) | c3_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.11/1.00 tff(1575,plain,
% 1.11/1.00 (c1_1(a744)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1574, 1190, 1125, 22, 1126, 33])).
% 1.11/1.00 tff(1576,plain,
% 1.11/1.00 (~hskp8),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[750, 1575])).
% 1.11/1.00 tff(1577,assumption,(~c2_1(a734)), introduced(assumption)).
% 1.11/1.00 tff(1578,plain,
% 1.11/1.00 (hskp5),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1273, 1577, 33, 1475])).
% 1.11/1.00 tff(1579,plain,
% 1.11/1.00 (c3_1(a735)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[443, 1578])).
% 1.11/1.00 tff(1580,plain,
% 1.11/1.00 (c2_1(a735)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[454, 1578])).
% 1.11/1.00 tff(1581,plain,
% 1.11/1.00 (hskp10 | c2_1(a734) | (~c3_1(a735)) | (~c2_1(a735))),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1287, 116, 1475, 496, 22, 1066])).
% 1.11/1.00 tff(1582,plain,
% 1.11/1.00 (hskp10),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1581, 1580, 1579, 1577])).
% 1.11/1.00 tff(1583,plain,
% 1.11/1.00 (~c2_1(a748)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1079, 1582])).
% 1.11/1.00 tff(1584,plain,
% 1.11/1.00 (~c0_1(a748)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1091, 1582])).
% 1.11/1.00 tff(1585,plain,
% 1.11/1.00 (~c3_1(a748)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1496, 116, 1126, 1125, 1584, 1583, 1124])).
% 1.11/1.00 tff(1586,plain,
% 1.11/1.00 (~c1_1(a748)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1085, 1582])).
% 1.11/1.00 tff(1587,plain,
% 1.11/1.00 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp3 | c0_1(a748) | c1_1(a748) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | c3_1(a748))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp3 | c0_1(a748) | c1_1(a748) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | c3_1(a748))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1588,plain,
% 1.11/1.00 ((hskp3 | (~ndr1_0) | c2_1(a734) | c3_1(a734) | (~c1_1(a734)) | c3_1(a748) | c1_1(a748) | c0_1(a748)) <=> (hskp3 | c0_1(a748) | c1_1(a748) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | c3_1(a748))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1589,plain,
% 1.11/1.00 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp3 | (~ndr1_0) | c2_1(a734) | c3_1(a734) | (~c1_1(a734)) | c3_1(a748) | c1_1(a748) | c0_1(a748))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp3 | c0_1(a748) | c1_1(a748) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | c3_1(a748)))),
% 1.11/1.00 inference(monotonicity,[status(thm)],[1588])).
% 1.11/1.00 tff(1590,plain,
% 1.11/1.00 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp3 | (~ndr1_0) | c2_1(a734) | c3_1(a734) | (~c1_1(a734)) | c3_1(a748) | c1_1(a748) | c0_1(a748))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp3 | c0_1(a748) | c1_1(a748) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | c3_1(a748))),
% 1.11/1.00 inference(transitivity,[status(thm)],[1589, 1587])).
% 1.11/1.00 tff(1591,plain,
% 1.11/1.00 ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp3 | (~ndr1_0) | c2_1(a734) | c3_1(a734) | (~c1_1(a734)) | c3_1(a748) | c1_1(a748) | c0_1(a748))),
% 1.11/1.00 inference(quant_inst,[status(thm)],[])).
% 1.11/1.00 tff(1592,plain,
% 1.11/1.00 ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp3 | c0_1(a748) | c1_1(a748) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | c3_1(a748)),
% 1.11/1.00 inference(modus_ponens,[status(thm)],[1591, 1590])).
% 1.11/1.00 tff(1593,plain,
% 1.11/1.00 (hskp3),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1592, 116, 1475, 1584, 1586, 33, 1243, 1577, 1585])).
% 1.11/1.00 tff(1594,plain,
% 1.11/1.00 (~c1_1(a733)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1311, 1593])).
% 1.11/1.00 tff(1595,assumption,(~hskp8), introduced(assumption)).
% 1.11/1.00 tff(1596,plain,
% 1.11/1.00 (hskp0),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1278, 1595])).
% 1.11/1.00 tff(1597,plain,
% 1.11/1.00 (~c1_1(a730)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[411, 1596])).
% 1.11/1.00 tff(1598,plain,
% 1.11/1.00 (c3_1(a730)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[471, 1596])).
% 1.11/1.00 tff(1599,plain,
% 1.11/1.00 (c0_1(a730)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[482, 1596])).
% 1.11/1.00 tff(1600,plain,
% 1.11/1.00 (hskp25),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1300, 116, 1599, 1598, 1584, 1586, 1583, 1597, 20])).
% 1.11/1.00 tff(1601,plain,
% 1.11/1.00 (c3_1(a729)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[831, 1600])).
% 1.11/1.00 tff(1602,plain,
% 1.11/1.00 (c2_1(a729)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[842, 1600])).
% 1.11/1.00 tff(1603,plain,
% 1.11/1.00 (c0_1(a729)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[853, 1600])).
% 1.11/1.00 tff(1604,plain,
% 1.11/1.00 (hskp21),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[947, 116, 1603, 1602, 1601, 506])).
% 1.11/1.00 tff(1605,plain,
% 1.11/1.00 (~c2_1(a793)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[521, 1604])).
% 1.11/1.00 tff(1606,plain,
% 1.11/1.00 (c2_1(a733)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1328, 1593])).
% 1.11/1.00 tff(1607,plain,
% 1.11/1.00 (c3_1(a793)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[534, 1604])).
% 1.11/1.00 tff(1608,plain,
% 1.11/1.00 (c0_1(a793)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[545, 1604])).
% 1.11/1.00 tff(1609,plain,
% 1.11/1.00 (~c3_1(a733)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1345, 116, 1608, 1607, 1580, 1579, 1606, 1605, 496, 1594, 494])).
% 1.11/1.00 tff(1610,plain,
% 1.11/1.00 (~c0_1(a733)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1255, 1593])).
% 1.11/1.00 tff(1611,plain,
% 1.11/1.00 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a734) | c3_1(a734) | c0_1(a733) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)) | c2_1(a734))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a734) | c3_1(a734) | c0_1(a733) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)) | c2_1(a734))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1612,plain,
% 1.11/1.00 ((hskp8 | (~ndr1_0) | c0_1(a733) | c3_1(a733) | (~c2_1(a733)) | c3_1(a734) | c0_1(a734) | c2_1(a734)) <=> (hskp8 | c0_1(a734) | c3_1(a734) | c0_1(a733) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)) | c2_1(a734))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1613,plain,
% 1.11/1.00 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a733) | c3_1(a733) | (~c2_1(a733)) | c3_1(a734) | c0_1(a734) | c2_1(a734))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a734) | c3_1(a734) | c0_1(a733) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)) | c2_1(a734)))),
% 1.11/1.00 inference(monotonicity,[status(thm)],[1612])).
% 1.11/1.00 tff(1614,plain,
% 1.11/1.00 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a733) | c3_1(a733) | (~c2_1(a733)) | c3_1(a734) | c0_1(a734) | c2_1(a734))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a734) | c3_1(a734) | c0_1(a733) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)) | c2_1(a734))),
% 1.11/1.00 inference(transitivity,[status(thm)],[1613, 1611])).
% 1.11/1.00 tff(1615,plain,
% 1.11/1.00 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a733) | c3_1(a733) | (~c2_1(a733)) | c3_1(a734) | c0_1(a734) | c2_1(a734))),
% 1.11/1.00 inference(quant_inst,[status(thm)],[])).
% 1.11/1.00 tff(1616,plain,
% 1.11/1.00 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a734) | c3_1(a734) | c0_1(a733) | (~ndr1_0) | c3_1(a733) | (~c2_1(a733)) | c2_1(a734)),
% 1.11/1.00 inference(modus_ponens,[status(thm)],[1615, 1614])).
% 1.11/1.00 tff(1617,plain,
% 1.11/1.00 ($false),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1616, 1595, 116, 1606, 22, 33, 1610, 670, 1577, 1609])).
% 1.11/1.00 tff(1618,plain,(c2_1(a734) | hskp8 | c0_1(a734) | c3_1(a734) | c0_1(a735) | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.11/1.00 tff(1619,plain,
% 1.11/1.00 (c2_1(a734)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1618, 496, 22, 33, 1576, 1126, 1125])).
% 1.11/1.00 tff(1620,plain,
% 1.11/1.00 ((~c2_1(a734)) | c2_1(a744)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1482, 1576, 116, 1192, 1190, 22, 33, 670])).
% 1.11/1.00 tff(1621,plain,
% 1.11/1.00 (c2_1(a744)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1620, 1619])).
% 1.11/1.00 tff(1622,assumption,(c2_1(a744)), introduced(assumption)).
% 1.11/1.00 tff(1623,plain,
% 1.11/1.00 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c3_1(a744) | c0_1(a744) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c3_1(a744) | c0_1(a744) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a744)))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1624,plain,
% 1.11/1.00 ((hskp8 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c2_1(a744)) | c3_1(a732) | c0_1(a732) | c2_1(a732)) <=> (hskp8 | c3_1(a744) | c0_1(a744) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a744)))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1625,plain,
% 1.11/1.00 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c2_1(a744)) | c3_1(a732) | c0_1(a732) | c2_1(a732))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c3_1(a744) | c0_1(a744) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a744))))),
% 1.11/1.00 inference(monotonicity,[status(thm)],[1624])).
% 1.11/1.00 tff(1626,plain,
% 1.11/1.00 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c2_1(a744)) | c3_1(a732) | c0_1(a732) | c2_1(a732))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c3_1(a744) | c0_1(a744) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a744)))),
% 1.11/1.00 inference(transitivity,[status(thm)],[1625, 1623])).
% 1.11/1.00 tff(1627,plain,
% 1.11/1.00 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c2_1(a744)) | c3_1(a732) | c0_1(a732) | c2_1(a732))),
% 1.11/1.00 inference(quant_inst,[status(thm)],[])).
% 1.11/1.00 tff(1628,plain,
% 1.11/1.00 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c3_1(a744) | c0_1(a744) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a744))),
% 1.11/1.00 inference(modus_ponens,[status(thm)],[1627, 1626])).
% 1.11/1.00 tff(1629,plain,
% 1.11/1.00 ($false),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1628, 1595, 116, 1192, 1190, 1222, 1223, 1221, 670, 1622])).
% 1.11/1.00 tff(1630,plain,((~hskp2) | hskp8 | c3_1(a744) | c0_1(a744) | (~c2_1(a744))), inference(lemma,lemma(discharge,[]))).
% 1.11/1.00 tff(1631,plain,
% 1.11/1.00 (~hskp2),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1630, 1621, 1192, 1190, 1576])).
% 1.11/1.00 tff(1632,assumption,(c2_1(a734)), introduced(assumption)).
% 1.11/1.00 tff(1633,assumption,(c1_1(a744)), introduced(assumption)).
% 1.11/1.00 tff(1634,assumption,(hskp11), introduced(assumption)).
% 1.11/1.00 tff(1635,plain,
% 1.11/1.00 (((~hskp11) | (~c0_1(a749))) <=> ((~hskp11) | (~c0_1(a749)))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1636,plain,
% 1.11/1.00 (((~c0_1(a749)) | (~hskp11)) <=> ((~hskp11) | (~c0_1(a749)))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1637,axiom,((~c0_1(a749)) | (~hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause100')).
% 1.11/1.00 tff(1638,plain,
% 1.11/1.00 ((~hskp11) | (~c0_1(a749))),
% 1.11/1.00 inference(modus_ponens,[status(thm)],[1637, 1636])).
% 1.11/1.00 tff(1639,plain,
% 1.11/1.00 ((~hskp11) | (~c0_1(a749))),
% 1.11/1.00 inference(modus_ponens,[status(thm)],[1638, 1635])).
% 1.11/1.00 tff(1640,plain,
% 1.11/1.00 (~c0_1(a749)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1639, 1634])).
% 1.11/1.00 tff(1641,assumption,(~c2_1(a749)), introduced(assumption)).
% 1.11/1.00 tff(1642,assumption,(~c0_1(a749)), introduced(assumption)).
% 1.11/1.00 tff(1643,plain,
% 1.11/1.00 (((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | c0_1(a749) | (~c3_1(a749)) | (~ndr1_0) | c2_1(a749))) <=> ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp12 | hskp7 | c0_1(a749) | (~c3_1(a749)) | (~ndr1_0) | c2_1(a749))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1644,plain,
% 1.11/1.00 ((hskp12 | hskp7 | (~ndr1_0) | c2_1(a749) | c0_1(a749) | (~c3_1(a749))) <=> (hskp12 | hskp7 | c0_1(a749) | (~c3_1(a749)) | (~ndr1_0) | c2_1(a749))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1645,plain,
% 1.11/1.00 (((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | (~ndr1_0) | c2_1(a749) | c0_1(a749) | (~c3_1(a749)))) <=> ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | c0_1(a749) | (~c3_1(a749)) | (~ndr1_0) | c2_1(a749)))),
% 1.11/1.00 inference(monotonicity,[status(thm)],[1644])).
% 1.11/1.00 tff(1646,plain,
% 1.11/1.00 (((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | (~ndr1_0) | c2_1(a749) | c0_1(a749) | (~c3_1(a749)))) <=> ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp12 | hskp7 | c0_1(a749) | (~c3_1(a749)) | (~ndr1_0) | c2_1(a749))),
% 1.11/1.00 inference(transitivity,[status(thm)],[1645, 1643])).
% 1.11/1.00 tff(1647,plain,
% 1.11/1.00 ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp12 | hskp7 | (~ndr1_0) | c2_1(a749) | c0_1(a749) | (~c3_1(a749)))),
% 1.11/1.00 inference(quant_inst,[status(thm)],[])).
% 1.11/1.00 tff(1648,plain,
% 1.11/1.00 ((~![U: $i] : (hskp12 | hskp7 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp12 | hskp7 | c0_1(a749) | (~c3_1(a749)) | (~ndr1_0) | c2_1(a749)),
% 1.11/1.00 inference(modus_ponens,[status(thm)],[1647, 1646])).
% 1.11/1.00 tff(1649,plain,
% 1.11/1.00 ((~c3_1(a749)) | c2_1(a749)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1648, 116, 1126, 1125, 1642, 1124])).
% 1.11/1.00 tff(1650,plain,
% 1.11/1.00 (~c3_1(a749)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1649, 1641])).
% 1.11/1.00 tff(1651,plain,
% 1.11/1.00 (((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | c0_1(a749) | c3_1(a749) | (~ndr1_0) | c2_1(a749))) <=> ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | hskp9 | hskp5 | c0_1(a749) | c3_1(a749) | (~ndr1_0) | c2_1(a749))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1652,plain,
% 1.11/1.00 ((hskp9 | hskp5 | (~ndr1_0) | c2_1(a749) | c0_1(a749) | c3_1(a749)) <=> (hskp9 | hskp5 | c0_1(a749) | c3_1(a749) | (~ndr1_0) | c2_1(a749))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1653,plain,
% 1.11/1.00 (((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | (~ndr1_0) | c2_1(a749) | c0_1(a749) | c3_1(a749))) <=> ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | c0_1(a749) | c3_1(a749) | (~ndr1_0) | c2_1(a749)))),
% 1.11/1.00 inference(monotonicity,[status(thm)],[1652])).
% 1.11/1.00 tff(1654,plain,
% 1.11/1.00 (((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | (~ndr1_0) | c2_1(a749) | c0_1(a749) | c3_1(a749))) <=> ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | hskp9 | hskp5 | c0_1(a749) | c3_1(a749) | (~ndr1_0) | c2_1(a749))),
% 1.11/1.00 inference(transitivity,[status(thm)],[1653, 1651])).
% 1.11/1.00 tff(1655,plain,
% 1.11/1.00 ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | (~ndr1_0) | c2_1(a749) | c0_1(a749) | c3_1(a749))),
% 1.11/1.00 inference(quant_inst,[status(thm)],[])).
% 1.11/1.00 tff(1656,plain,
% 1.11/1.00 ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | hskp9 | hskp5 | c0_1(a749) | c3_1(a749) | (~ndr1_0) | c2_1(a749)),
% 1.11/1.00 inference(modus_ponens,[status(thm)],[1655, 1654])).
% 1.11/1.00 tff(1657,plain,
% 1.11/1.00 (c3_1(a749) | c2_1(a749)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1656, 116, 1157, 423, 1642, 1181])).
% 1.11/1.00 tff(1658,plain,
% 1.11/1.00 ($false),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1657, 1650, 1641])).
% 1.11/1.00 tff(1659,plain,(c2_1(a749) | hskp5 | c0_1(a749) | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.11/1.00 tff(1660,plain,
% 1.11/1.00 (c2_1(a749)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1659, 1640, 423, 1126, 1125])).
% 1.11/1.00 tff(1661,plain,
% 1.11/1.00 (((~hskp11) | (~c1_1(a749))) <=> ((~hskp11) | (~c1_1(a749)))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1662,plain,
% 1.11/1.00 (((~c1_1(a749)) | (~hskp11)) <=> ((~hskp11) | (~c1_1(a749)))),
% 1.11/1.00 inference(rewrite,[status(thm)],[])).
% 1.11/1.00 tff(1663,axiom,((~c1_1(a749)) | (~hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause101')).
% 1.11/1.00 tff(1664,plain,
% 1.11/1.00 ((~hskp11) | (~c1_1(a749))),
% 1.11/1.00 inference(modus_ponens,[status(thm)],[1663, 1662])).
% 1.11/1.00 tff(1665,plain,
% 1.11/1.00 ((~hskp11) | (~c1_1(a749))),
% 1.11/1.00 inference(modus_ponens,[status(thm)],[1664, 1661])).
% 1.11/1.00 tff(1666,plain,
% 1.11/1.00 (~c1_1(a749)),
% 1.11/1.00 inference(unit_resolution,[status(thm)],[1665, 1634])).
% 1.11/1.00 tff(1667,plain,
% 1.11/1.00 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | c0_1(a749) | c1_1(a749) | (~ndr1_0) | (~c2_1(a749)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp2 | hskp1 | c0_1(a749) | c1_1(a749) | (~ndr1_0) | (~c2_1(a749)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1668,plain,
% 1.11/1.01 ((hskp2 | hskp1 | (~ndr1_0) | c1_1(a749) | c0_1(a749) | (~c2_1(a749))) <=> (hskp2 | hskp1 | c0_1(a749) | c1_1(a749) | (~ndr1_0) | (~c2_1(a749)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1669,plain,
% 1.11/1.01 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | c1_1(a749) | c0_1(a749) | (~c2_1(a749)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | c0_1(a749) | c1_1(a749) | (~ndr1_0) | (~c2_1(a749))))),
% 1.11/1.01 inference(monotonicity,[status(thm)],[1668])).
% 1.11/1.01 tff(1670,plain,
% 1.11/1.01 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | c1_1(a749) | c0_1(a749) | (~c2_1(a749)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp2 | hskp1 | c0_1(a749) | c1_1(a749) | (~ndr1_0) | (~c2_1(a749)))),
% 1.11/1.01 inference(transitivity,[status(thm)],[1669, 1667])).
% 1.11/1.01 tff(1671,plain,
% 1.11/1.01 ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | c1_1(a749) | c0_1(a749) | (~c2_1(a749)))),
% 1.11/1.01 inference(quant_inst,[status(thm)],[])).
% 1.11/1.01 tff(1672,plain,
% 1.11/1.01 ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp2 | hskp1 | c0_1(a749) | c1_1(a749) | (~ndr1_0) | (~c2_1(a749))),
% 1.11/1.01 inference(modus_ponens,[status(thm)],[1671, 1670])).
% 1.11/1.01 tff(1673,plain,
% 1.11/1.01 ($false),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1672, 116, 280, 279, 1640, 1666, 290, 1660])).
% 1.11/1.01 tff(1674,plain,((~hskp11) | hskp2 | hskp1 | hskp5 | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.11/1.01 tff(1675,plain,
% 1.11/1.01 (~hskp11),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1674, 423, 279, 280, 1126, 1125])).
% 1.11/1.01 tff(1676,plain,
% 1.11/1.01 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp27 | hskp11 | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1677,plain,
% 1.11/1.01 ((hskp27 | hskp11 | (~ndr1_0) | c3_1(a734) | (~c2_1(a734)) | (~c1_1(a734))) <=> (hskp27 | hskp11 | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1678,plain,
% 1.11/1.01 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c3_1(a734) | (~c2_1(a734)) | (~c1_1(a734)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734))))),
% 1.11/1.01 inference(monotonicity,[status(thm)],[1677])).
% 1.11/1.01 tff(1679,plain,
% 1.11/1.01 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c3_1(a734) | (~c2_1(a734)) | (~c1_1(a734)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp27 | hskp11 | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)))),
% 1.11/1.01 inference(transitivity,[status(thm)],[1678, 1676])).
% 1.11/1.01 tff(1680,plain,
% 1.11/1.01 ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c3_1(a734) | (~c2_1(a734)) | (~c1_1(a734)))),
% 1.11/1.01 inference(quant_inst,[status(thm)],[])).
% 1.11/1.01 tff(1681,plain,
% 1.11/1.01 ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp27 | hskp11 | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734))),
% 1.11/1.01 inference(modus_ponens,[status(thm)],[1680, 1679])).
% 1.11/1.01 tff(1682,plain,
% 1.11/1.01 (hskp27 | hskp11 | (~c2_1(a734)) | (~c1_1(a734))),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1681, 116, 33, 604])).
% 1.11/1.01 tff(1683,plain,
% 1.11/1.01 (hskp27),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1682, 1675, 1102, 1632])).
% 1.11/1.01 tff(1684,plain,
% 1.11/1.01 (c2_1(a750)),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[787, 1683])).
% 1.11/1.01 tff(1685,plain,
% 1.11/1.01 (c0_1(a750)),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[776, 1683])).
% 1.11/1.01 tff(1686,assumption,(c3_1(a750)), introduced(assumption)).
% 1.11/1.01 tff(1687,plain,
% 1.11/1.01 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c2_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c2_1(a744)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1688,plain,
% 1.11/1.01 ((hskp16 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c0_1(a744) | (~c2_1(a744)) | (~c1_1(a744))) <=> (hskp16 | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c2_1(a744)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1689,plain,
% 1.11/1.01 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c0_1(a744) | (~c2_1(a744)) | (~c1_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c2_1(a744))))),
% 1.11/1.01 inference(monotonicity,[status(thm)],[1688])).
% 1.11/1.01 tff(1690,plain,
% 1.11/1.01 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c0_1(a744) | (~c2_1(a744)) | (~c1_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c2_1(a744)))),
% 1.11/1.01 inference(transitivity,[status(thm)],[1689, 1687])).
% 1.11/1.01 tff(1691,plain,
% 1.11/1.01 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c0_1(a744) | (~c2_1(a744)) | (~c1_1(a744)))),
% 1.11/1.01 inference(quant_inst,[status(thm)],[])).
% 1.11/1.01 tff(1692,plain,
% 1.11/1.01 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c2_1(a744))),
% 1.11/1.01 inference(modus_ponens,[status(thm)],[1691, 1690])).
% 1.11/1.01 tff(1693,plain,
% 1.11/1.01 (hskp16 | (~c3_1(a750))),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1692, 116, 810, 879, 1190, 1633, 820, 1622])).
% 1.11/1.01 tff(1694,plain,
% 1.11/1.01 (hskp16),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1693, 1686])).
% 1.11/1.01 tff(1695,plain,
% 1.11/1.01 (~c3_1(a764)),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[866, 1694])).
% 1.11/1.01 tff(1696,plain,
% 1.11/1.01 (c0_1(a764)),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[890, 1694])).
% 1.11/1.01 tff(1697,plain,
% 1.11/1.01 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | c3_1(a764) | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c0_1(a764)) | (~c1_1(a764)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | c3_1(a764) | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c0_1(a764)) | (~c1_1(a764)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1698,plain,
% 1.11/1.01 ((hskp1 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c3_1(a764) | (~c1_1(a764)) | (~c0_1(a764))) <=> (hskp1 | c3_1(a764) | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c0_1(a764)) | (~c1_1(a764)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1699,plain,
% 1.11/1.01 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c3_1(a764) | (~c1_1(a764)) | (~c0_1(a764)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | c3_1(a764) | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c0_1(a764)) | (~c1_1(a764))))),
% 1.11/1.01 inference(monotonicity,[status(thm)],[1698])).
% 1.11/1.01 tff(1700,plain,
% 1.11/1.01 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c3_1(a764) | (~c1_1(a764)) | (~c0_1(a764)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | c3_1(a764) | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c0_1(a764)) | (~c1_1(a764)))),
% 1.11/1.01 inference(transitivity,[status(thm)],[1699, 1697])).
% 1.11/1.01 tff(1701,plain,
% 1.11/1.01 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c3_1(a764) | (~c1_1(a764)) | (~c0_1(a764)))),
% 1.11/1.01 inference(quant_inst,[status(thm)],[])).
% 1.11/1.01 tff(1702,plain,
% 1.11/1.01 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | c3_1(a764) | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c0_1(a764)) | (~c1_1(a764))),
% 1.11/1.01 inference(modus_ponens,[status(thm)],[1701, 1700])).
% 1.11/1.01 tff(1703,plain,
% 1.11/1.01 (~c1_1(a764)),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1702, 116, 279, 810, 879, 1696, 1695, 809, 1686])).
% 1.11/1.01 tff(1704,plain,
% 1.11/1.01 (c2_1(a764)),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[877, 1694])).
% 1.11/1.01 tff(1705,plain,
% 1.11/1.01 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | c3_1(a764) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a764) | (~c2_1(a764)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c3_1(a764) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a764) | (~c2_1(a764)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1706,plain,
% 1.11/1.01 ((hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a764) | c1_1(a764) | (~c2_1(a764))) <=> (hskp5 | c3_1(a764) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a764) | (~c2_1(a764)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1707,plain,
% 1.11/1.01 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a764) | c1_1(a764) | (~c2_1(a764)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | c3_1(a764) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a764) | (~c2_1(a764))))),
% 1.11/1.01 inference(monotonicity,[status(thm)],[1706])).
% 1.11/1.01 tff(1708,plain,
% 1.11/1.01 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a764) | c1_1(a764) | (~c2_1(a764)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c3_1(a764) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a764) | (~c2_1(a764)))),
% 1.11/1.01 inference(transitivity,[status(thm)],[1707, 1705])).
% 1.11/1.01 tff(1709,plain,
% 1.11/1.01 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a764) | c1_1(a764) | (~c2_1(a764)))),
% 1.11/1.01 inference(quant_inst,[status(thm)],[])).
% 1.11/1.01 tff(1710,plain,
% 1.11/1.01 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c3_1(a764) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a764) | (~c2_1(a764))),
% 1.11/1.01 inference(modus_ponens,[status(thm)],[1709, 1708])).
% 1.11/1.01 tff(1711,plain,
% 1.11/1.01 ($false),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1710, 116, 423, 1704, 508, 507, 1695, 495, 1555, 1703])).
% 1.11/1.01 tff(1712,plain,((~c3_1(a750)) | hskp5 | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a730) | hskp1 | (~c0_1(a750)) | (~c2_1(a750)) | c0_1(a744) | (~c1_1(a744)) | (~c2_1(a744))), inference(lemma,lemma(discharge,[]))).
% 1.11/1.01 tff(1713,plain,
% 1.11/1.01 (~c3_1(a750)),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1712, 423, 508, 507, 495, 279, 1685, 1684, 1190, 1633, 1622])).
% 1.11/1.01 tff(1714,plain,
% 1.11/1.01 (~hskp8),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[750, 1633])).
% 1.11/1.01 tff(1715,plain,
% 1.11/1.01 (c1_1(a750)),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[798, 1683])).
% 1.11/1.01 tff(1716,plain,
% 1.11/1.01 (((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp18 | hskp11 | (~ndr1_0) | (~c0_1(a750)) | c3_1(a750) | (~c1_1(a750)))) <=> ((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp18 | hskp11 | (~ndr1_0) | (~c0_1(a750)) | c3_1(a750) | (~c1_1(a750)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1717,plain,
% 1.11/1.01 ((hskp18 | hskp11 | (~ndr1_0) | c3_1(a750) | (~c1_1(a750)) | (~c0_1(a750))) <=> (hskp18 | hskp11 | (~ndr1_0) | (~c0_1(a750)) | c3_1(a750) | (~c1_1(a750)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1718,plain,
% 1.11/1.01 (((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp18 | hskp11 | (~ndr1_0) | c3_1(a750) | (~c1_1(a750)) | (~c0_1(a750)))) <=> ((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp18 | hskp11 | (~ndr1_0) | (~c0_1(a750)) | c3_1(a750) | (~c1_1(a750))))),
% 1.11/1.01 inference(monotonicity,[status(thm)],[1717])).
% 1.11/1.01 tff(1719,plain,
% 1.11/1.01 (((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp18 | hskp11 | (~ndr1_0) | c3_1(a750) | (~c1_1(a750)) | (~c0_1(a750)))) <=> ((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp18 | hskp11 | (~ndr1_0) | (~c0_1(a750)) | c3_1(a750) | (~c1_1(a750)))),
% 1.11/1.01 inference(transitivity,[status(thm)],[1718, 1716])).
% 1.11/1.01 tff(1720,plain,
% 1.11/1.01 ((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp18 | hskp11 | (~ndr1_0) | c3_1(a750) | (~c1_1(a750)) | (~c0_1(a750)))),
% 1.11/1.01 inference(quant_inst,[status(thm)],[])).
% 1.11/1.01 tff(1721,plain,
% 1.11/1.01 ((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp18 | hskp11 | (~ndr1_0) | (~c0_1(a750)) | c3_1(a750) | (~c1_1(a750))),
% 1.11/1.01 inference(modus_ponens,[status(thm)],[1720, 1719])).
% 1.11/1.01 tff(1722,plain,
% 1.11/1.01 (hskp18 | c3_1(a750)),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1721, 116, 1675, 1685, 1715, 1171])).
% 1.11/1.01 tff(1723,plain,
% 1.11/1.01 (hskp18),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1722, 1713])).
% 1.11/1.01 tff(1724,assumption,(hskp18), introduced(assumption)).
% 1.11/1.01 tff(1725,plain,
% 1.11/1.01 (((~hskp18) | (~c3_1(a775))) <=> ((~hskp18) | (~c3_1(a775)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1726,plain,
% 1.11/1.01 (((~c3_1(a775)) | (~hskp18)) <=> ((~hskp18) | (~c3_1(a775)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1727,axiom,((~c3_1(a775)) | (~hskp18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause92')).
% 1.11/1.01 tff(1728,plain,
% 1.11/1.01 ((~hskp18) | (~c3_1(a775))),
% 1.11/1.01 inference(modus_ponens,[status(thm)],[1727, 1726])).
% 1.11/1.01 tff(1729,plain,
% 1.11/1.01 ((~hskp18) | (~c3_1(a775))),
% 1.11/1.01 inference(modus_ponens,[status(thm)],[1728, 1725])).
% 1.11/1.01 tff(1730,plain,
% 1.11/1.01 (~c3_1(a775)),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1729, 1724])).
% 1.11/1.01 tff(1731,plain,
% 1.11/1.01 (((~hskp18) | (~c2_1(a775))) <=> ((~hskp18) | (~c2_1(a775)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1732,plain,
% 1.11/1.01 (((~c2_1(a775)) | (~hskp18)) <=> ((~hskp18) | (~c2_1(a775)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1733,axiom,((~c2_1(a775)) | (~hskp18)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause91')).
% 1.11/1.01 tff(1734,plain,
% 1.11/1.01 ((~hskp18) | (~c2_1(a775))),
% 1.11/1.01 inference(modus_ponens,[status(thm)],[1733, 1732])).
% 1.11/1.01 tff(1735,plain,
% 1.11/1.01 ((~hskp18) | (~c2_1(a775))),
% 1.11/1.01 inference(modus_ponens,[status(thm)],[1734, 1731])).
% 1.11/1.01 tff(1736,plain,
% 1.11/1.01 (~c2_1(a775)),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1735, 1724])).
% 1.11/1.01 tff(1737,plain,
% 1.11/1.01 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c3_1(a744) | c2_1(a775) | c3_1(a775) | c0_1(a744) | (~ndr1_0) | (~c2_1(a744)) | c0_1(a775))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c3_1(a744) | c2_1(a775) | c3_1(a775) | c0_1(a744) | (~ndr1_0) | (~c2_1(a744)) | c0_1(a775))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1738,plain,
% 1.11/1.01 ((hskp8 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c2_1(a744)) | c3_1(a775) | c0_1(a775) | c2_1(a775)) <=> (hskp8 | c3_1(a744) | c2_1(a775) | c3_1(a775) | c0_1(a744) | (~ndr1_0) | (~c2_1(a744)) | c0_1(a775))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1739,plain,
% 1.11/1.01 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c2_1(a744)) | c3_1(a775) | c0_1(a775) | c2_1(a775))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c3_1(a744) | c2_1(a775) | c3_1(a775) | c0_1(a744) | (~ndr1_0) | (~c2_1(a744)) | c0_1(a775)))),
% 1.11/1.01 inference(monotonicity,[status(thm)],[1738])).
% 1.11/1.01 tff(1740,plain,
% 1.11/1.01 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c2_1(a744)) | c3_1(a775) | c0_1(a775) | c2_1(a775))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c3_1(a744) | c2_1(a775) | c3_1(a775) | c0_1(a744) | (~ndr1_0) | (~c2_1(a744)) | c0_1(a775))),
% 1.11/1.01 inference(transitivity,[status(thm)],[1739, 1737])).
% 1.11/1.01 tff(1741,plain,
% 1.11/1.01 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c2_1(a744)) | c3_1(a775) | c0_1(a775) | c2_1(a775))),
% 1.11/1.01 inference(quant_inst,[status(thm)],[])).
% 1.11/1.01 tff(1742,plain,
% 1.11/1.01 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c3_1(a744) | c2_1(a775) | c3_1(a775) | c0_1(a744) | (~ndr1_0) | (~c2_1(a744)) | c0_1(a775)),
% 1.11/1.01 inference(modus_ponens,[status(thm)],[1741, 1740])).
% 1.11/1.01 tff(1743,plain,
% 1.11/1.01 (c0_1(a775)),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1742, 1595, 116, 1192, 1736, 1730, 1190, 670, 1622])).
% 1.11/1.01 tff(1744,plain,
% 1.11/1.01 (^[U: $i] : refl((hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U))) <=> (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U))))),
% 1.11/1.01 inference(bind,[status(th)],[])).
% 1.11/1.01 tff(1745,plain,
% 1.11/1.01 (![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U))) <=> ![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))),
% 1.11/1.01 inference(quant_intro,[status(thm)],[1744])).
% 1.11/1.01 tff(1746,plain,
% 1.11/1.01 (![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U))) <=> ![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1747,plain,
% 1.11/1.01 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c0_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c0_1(U)))), ((((~c0_1(U)) | (~ndr1_0)) | 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)))), ((((~c0_1(U)) | (~ndr1_0)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c0_1(U))))), (((((~c0_1(U)) | (~ndr1_0)) | 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) | c3_1(U) | (~c0_1(U)))), (((((~c0_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U))))), ((((((~c0_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | hskp25) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U))) | hskp25))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U))) | hskp25) <=> (hskp25 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))), ((((((~c0_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | hskp25) <=> (hskp25 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U))))), (((((((~c0_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | hskp25) | hskp9) <=> ((hskp25 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U))) | hskp9))), rewrite(((hskp25 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U))) | hskp9) <=> (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))), (((((((~c0_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | hskp25) | hskp9) <=> (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))))),
% 1.11/1.01 inference(bind,[status(th)],[])).
% 1.11/1.01 tff(1748,plain,
% 1.11/1.01 (![U: $i] : ((((((~c0_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | hskp25) | hskp9) <=> ![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))),
% 1.11/1.01 inference(quant_intro,[status(thm)],[1747])).
% 1.11/1.01 tff(1749,axiom,(![U: $i] : ((((((~c0_1(U)) | (~ndr1_0)) | c2_1(U)) | c3_1(U)) | hskp25) | hskp9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause135')).
% 1.11/1.01 tff(1750,plain,
% 1.11/1.01 (![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))),
% 1.11/1.01 inference(modus_ponens,[status(thm)],[1749, 1748])).
% 1.11/1.01 tff(1751,plain,
% 1.11/1.01 (![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))),
% 1.11/1.01 inference(modus_ponens,[status(thm)],[1750, 1746])).
% 1.11/1.01 tff(1752,plain,(
% 1.11/1.01 ![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))),
% 1.11/1.01 inference(skolemize,[status(sab)],[1751])).
% 1.11/1.01 tff(1753,plain,
% 1.11/1.01 (![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))),
% 1.11/1.01 inference(modus_ponens,[status(thm)],[1752, 1745])).
% 1.11/1.01 tff(1754,assumption,(~hskp9), introduced(assumption)).
% 1.11/1.01 tff(1755,assumption,(~hskp25), introduced(assumption)).
% 1.11/1.01 tff(1756,plain,
% 1.11/1.01 (((~![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))) | (hskp25 | hskp9 | c2_1(a775) | c3_1(a775) | (~ndr1_0) | (~c0_1(a775)))) <=> ((~![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))) | hskp25 | hskp9 | c2_1(a775) | c3_1(a775) | (~ndr1_0) | (~c0_1(a775)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1757,plain,
% 1.11/1.01 ((hskp25 | hskp9 | (~ndr1_0) | c2_1(a775) | c3_1(a775) | (~c0_1(a775))) <=> (hskp25 | hskp9 | c2_1(a775) | c3_1(a775) | (~ndr1_0) | (~c0_1(a775)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1758,plain,
% 1.11/1.01 (((~![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))) | (hskp25 | hskp9 | (~ndr1_0) | c2_1(a775) | c3_1(a775) | (~c0_1(a775)))) <=> ((~![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))) | (hskp25 | hskp9 | c2_1(a775) | c3_1(a775) | (~ndr1_0) | (~c0_1(a775))))),
% 1.11/1.01 inference(monotonicity,[status(thm)],[1757])).
% 1.11/1.01 tff(1759,plain,
% 1.11/1.01 (((~![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))) | (hskp25 | hskp9 | (~ndr1_0) | c2_1(a775) | c3_1(a775) | (~c0_1(a775)))) <=> ((~![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))) | hskp25 | hskp9 | c2_1(a775) | c3_1(a775) | (~ndr1_0) | (~c0_1(a775)))),
% 1.11/1.01 inference(transitivity,[status(thm)],[1758, 1756])).
% 1.11/1.01 tff(1760,plain,
% 1.11/1.01 ((~![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))) | (hskp25 | hskp9 | (~ndr1_0) | c2_1(a775) | c3_1(a775) | (~c0_1(a775)))),
% 1.11/1.01 inference(quant_inst,[status(thm)],[])).
% 1.11/1.01 tff(1761,plain,
% 1.11/1.01 ((~![U: $i] : (hskp25 | hskp9 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c0_1(U)))) | hskp25 | hskp9 | c2_1(a775) | c3_1(a775) | (~ndr1_0) | (~c0_1(a775))),
% 1.11/1.01 inference(modus_ponens,[status(thm)],[1760, 1759])).
% 1.11/1.01 tff(1762,plain,
% 1.11/1.01 ($false),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1761, 116, 1755, 1754, 1736, 1730, 1753, 1743])).
% 1.11/1.01 tff(1763,plain,((~hskp18) | hskp25 | hskp9 | hskp8 | c3_1(a744) | c0_1(a744) | (~c2_1(a744))), inference(lemma,lemma(discharge,[]))).
% 1.11/1.01 tff(1764,plain,
% 1.11/1.01 (hskp25),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[1763, 1723, 1157, 1714, 1192, 1190, 1622])).
% 1.11/1.01 tff(1765,plain,
% 1.11/1.01 (c3_1(a729)),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[831, 1764])).
% 1.11/1.01 tff(1766,plain,
% 1.11/1.01 (c2_1(a729)),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[842, 1764])).
% 1.11/1.01 tff(1767,plain,
% 1.11/1.01 (c0_1(a729)),
% 1.11/1.01 inference(unit_resolution,[status(thm)],[853, 1764])).
% 1.11/1.01 tff(1768,plain,
% 1.11/1.01 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c0_1(a750)) | c3_1(a750) | (~c1_1(a750)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | (~ndr1_0) | (~c0_1(a750)) | c3_1(a750) | (~c1_1(a750)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))),
% 1.11/1.01 inference(rewrite,[status(thm)],[])).
% 1.11/1.01 tff(1769,plain,
% 1.11/1.01 ((hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a750) | (~c1_1(a750)) | (~c0_1(a750))) <=> (hskp1 | (~ndr1_0) | (~c0_1(a750)) | c3_1(a750) | (~c1_1(a750)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1770,plain,
% 1.11/1.02 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a750) | (~c1_1(a750)) | (~c0_1(a750)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c0_1(a750)) | c3_1(a750) | (~c1_1(a750)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729))))),
% 1.11/1.02 inference(monotonicity,[status(thm)],[1769])).
% 1.11/1.02 tff(1771,plain,
% 1.11/1.02 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a750) | (~c1_1(a750)) | (~c0_1(a750)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | (~ndr1_0) | (~c0_1(a750)) | c3_1(a750) | (~c1_1(a750)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))),
% 1.11/1.02 inference(transitivity,[status(thm)],[1770, 1768])).
% 1.11/1.02 tff(1772,plain,
% 1.11/1.02 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a750) | (~c1_1(a750)) | (~c0_1(a750)))),
% 1.11/1.02 inference(quant_inst,[status(thm)],[])).
% 1.11/1.02 tff(1773,plain,
% 1.11/1.02 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | (~ndr1_0) | (~c0_1(a750)) | c3_1(a750) | (~c1_1(a750)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729))),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1772, 1771])).
% 1.11/1.02 tff(1774,plain,
% 1.11/1.02 ($false),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1773, 116, 279, 1685, 1715, 1767, 1766, 1765, 809, 1713])).
% 1.11/1.02 tff(1775,plain,(hskp5 | hskp1 | c3_1(a744) | c0_1(a744) | (~c2_1(a744)) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a730) | (~c1_1(a744)) | (~c1_1(a734)) | (~c2_1(a734)) | c3_1(a734) | hskp2 | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.11/1.02 tff(1776,plain,
% 1.11/1.02 (hskp5),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1775, 280, 1192, 1190, 1622, 508, 507, 495, 1633, 1102, 1632, 33, 279, 1126, 1125])).
% 1.11/1.02 tff(1777,plain,
% 1.11/1.02 (c2_1(a735)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[454, 1776])).
% 1.11/1.02 tff(1778,plain,
% 1.11/1.02 (hskp2 | hskp1 | (~c2_1(a735)) | c1_1(a735)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[562, 116, 496, 290])).
% 1.11/1.02 tff(1779,plain,
% 1.11/1.02 (c1_1(a735)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1778, 1777, 279, 280])).
% 1.11/1.02 tff(1780,plain,
% 1.11/1.02 (c3_1(a735)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[443, 1776])).
% 1.11/1.02 tff(1781,plain,
% 1.11/1.02 (c2_1(a730)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[583, 280, 1780, 508, 496, 495, 1779])).
% 1.11/1.02 tff(1782,plain,
% 1.11/1.02 (hskp21),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[515, 1781])).
% 1.11/1.02 tff(1783,plain,
% 1.11/1.02 (~c2_1(a793)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[521, 1782])).
% 1.11/1.02 tff(1784,plain,
% 1.11/1.02 (c3_1(a793)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[534, 1782])).
% 1.11/1.02 tff(1785,plain,
% 1.11/1.02 (c0_1(a793)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[545, 1782])).
% 1.11/1.02 tff(1786,plain,
% 1.11/1.02 ($false),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[552, 116, 1785, 1784, 1777, 1780, 507, 1783, 496, 495, 494, 1781])).
% 1.11/1.02 tff(1787,plain,(hskp2 | (~c3_1(a730)) | c0_1(a735) | c1_1(a730) | (~c0_1(a730)) | hskp1 | c3_1(a744) | c0_1(a744) | (~c2_1(a744)) | (~c1_1(a744)) | (~c1_1(a734)) | (~c2_1(a734)) | c3_1(a734) | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.11/1.02 tff(1788,plain,
% 1.11/1.02 (hskp1),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1787, 1631, 496, 1161, 1160, 1556, 1192, 1190, 1621, 1575, 1144, 1619, 33, 1126, 1125])).
% 1.11/1.02 tff(1789,plain,
% 1.11/1.02 (~c2_1(a731)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[61, 1788])).
% 1.11/1.02 tff(1790,plain,
% 1.11/1.02 (c3_1(a731)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[72, 1788])).
% 1.11/1.02 tff(1791,plain,
% 1.11/1.02 (c0_1(a731)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1135, 116, 1126, 1125, 1790, 1789, 1124])).
% 1.11/1.02 tff(1792,plain,
% 1.11/1.02 (c1_1(a731)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[83, 1788])).
% 1.11/1.02 tff(1793,plain,
% 1.11/1.02 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | c3_1(a744) | c0_1(a744) | (~c1_1(a744)) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp13 | c3_1(a744) | c0_1(a744) | (~c1_1(a744)) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1794,plain,
% 1.11/1.02 ((hskp13 | (~ndr1_0) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c3_1(a744) | c0_1(a744) | (~c1_1(a744))) <=> (hskp13 | c3_1(a744) | c0_1(a744) | (~c1_1(a744)) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1795,plain,
% 1.11/1.02 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | (~ndr1_0) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c3_1(a744) | c0_1(a744) | (~c1_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | c3_1(a744) | c0_1(a744) | (~c1_1(a744)) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731))))),
% 1.11/1.02 inference(monotonicity,[status(thm)],[1794])).
% 1.11/1.02 tff(1796,plain,
% 1.11/1.02 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | (~ndr1_0) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c3_1(a744) | c0_1(a744) | (~c1_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp13 | c3_1(a744) | c0_1(a744) | (~c1_1(a744)) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)))),
% 1.11/1.02 inference(transitivity,[status(thm)],[1795, 1793])).
% 1.11/1.02 tff(1797,plain,
% 1.11/1.02 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | (~ndr1_0) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c3_1(a744) | c0_1(a744) | (~c1_1(a744)))),
% 1.11/1.02 inference(quant_inst,[status(thm)],[])).
% 1.11/1.02 tff(1798,plain,
% 1.11/1.02 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp13 | c3_1(a744) | c0_1(a744) | (~c1_1(a744)) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731))),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1797, 1796])).
% 1.11/1.02 tff(1799,plain,
% 1.11/1.02 (hskp13),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1798, 116, 1192, 1792, 1190, 1575, 1789, 32, 1791])).
% 1.11/1.02 tff(1800,plain,
% 1.11/1.02 (c2_1(a759)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[980, 1799])).
% 1.11/1.02 tff(1801,plain,
% 1.11/1.02 (~c1_1(a759)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[957, 1799])).
% 1.11/1.02 tff(1802,plain,
% 1.11/1.02 (c3_1(a759)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[969, 1799])).
% 1.11/1.02 tff(1803,plain,
% 1.11/1.02 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | c3_1(a744) | c1_1(a759) | c0_1(a744) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a759)) | c0_1(a759))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c3_1(a744) | c1_1(a759) | c0_1(a744) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a759)) | c0_1(a759))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1804,plain,
% 1.11/1.02 ((hskp7 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c2_1(a744)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759))) <=> (hskp7 | c3_1(a744) | c1_1(a759) | c0_1(a744) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a759)) | c0_1(a759))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1805,plain,
% 1.11/1.02 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c2_1(a744)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | c3_1(a744) | c1_1(a759) | c0_1(a744) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a759)) | c0_1(a759)))),
% 1.11/1.02 inference(monotonicity,[status(thm)],[1804])).
% 1.11/1.02 tff(1806,plain,
% 1.11/1.02 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c2_1(a744)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c3_1(a744) | c1_1(a759) | c0_1(a744) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a759)) | c0_1(a759))),
% 1.11/1.02 inference(transitivity,[status(thm)],[1805, 1803])).
% 1.11/1.02 tff(1807,plain,
% 1.11/1.02 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c2_1(a744)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))),
% 1.11/1.02 inference(quant_inst,[status(thm)],[])).
% 1.11/1.02 tff(1808,plain,
% 1.11/1.02 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c3_1(a744) | c1_1(a759) | c0_1(a744) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a759)) | c0_1(a759)),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1807, 1806])).
% 1.11/1.02 tff(1809,plain,
% 1.11/1.02 (c0_1(a759)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1808, 116, 1125, 1802, 1192, 1801, 1190, 1362, 1621])).
% 1.11/1.02 tff(1810,assumption,(c0_1(a759)), introduced(assumption)).
% 1.11/1.02 tff(1811,assumption,(~c1_1(a759)), introduced(assumption)).
% 1.11/1.02 tff(1812,plain,
% 1.11/1.02 (^[U: $i] : refl((hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) <=> (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))))),
% 1.11/1.02 inference(bind,[status(th)],[])).
% 1.11/1.02 tff(1813,plain,
% 1.11/1.02 (![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) <=> ![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.11/1.02 inference(quant_intro,[status(thm)],[1812])).
% 1.11/1.02 tff(1814,plain,
% 1.11/1.02 (![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) <=> ![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1815,plain,
% 1.11/1.02 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp5) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp5))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp5) <=> (hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp5) <=> (hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp5) | hskp20) <=> ((hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp20))), rewrite(((hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp20) <=> (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp5) | hskp20) <=> (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))))),
% 1.11/1.02 inference(bind,[status(th)],[])).
% 1.11/1.02 tff(1816,plain,
% 1.11/1.02 (![U: $i] : ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp5) | hskp20) <=> ![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.11/1.02 inference(quant_intro,[status(thm)],[1815])).
% 1.11/1.02 tff(1817,axiom,(![U: $i] : ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp5) | hskp20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause140')).
% 1.11/1.02 tff(1818,plain,
% 1.11/1.02 (![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1817, 1816])).
% 1.11/1.02 tff(1819,plain,
% 1.11/1.02 (![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1818, 1814])).
% 1.11/1.02 tff(1820,plain,(
% 1.11/1.02 ![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.11/1.02 inference(skolemize,[status(sab)],[1819])).
% 1.11/1.02 tff(1821,plain,
% 1.11/1.02 (![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1820, 1813])).
% 1.11/1.02 tff(1822,assumption,(c3_1(a759)), introduced(assumption)).
% 1.11/1.02 tff(1823,assumption,(c2_1(a759)), introduced(assumption)).
% 1.11/1.02 tff(1824,plain,
% 1.11/1.02 (((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp20 | hskp5 | c1_1(a759) | (~ndr1_0) | (~c2_1(a759)) | (~c3_1(a759)))) <=> ((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp20 | hskp5 | c1_1(a759) | (~ndr1_0) | (~c2_1(a759)) | (~c3_1(a759)))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1825,plain,
% 1.11/1.02 ((hskp20 | hskp5 | (~ndr1_0) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759))) <=> (hskp20 | hskp5 | c1_1(a759) | (~ndr1_0) | (~c2_1(a759)) | (~c3_1(a759)))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1826,plain,
% 1.11/1.02 (((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp20 | hskp5 | (~ndr1_0) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759)))) <=> ((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp20 | hskp5 | c1_1(a759) | (~ndr1_0) | (~c2_1(a759)) | (~c3_1(a759))))),
% 1.11/1.02 inference(monotonicity,[status(thm)],[1825])).
% 1.11/1.02 tff(1827,plain,
% 1.11/1.02 (((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp20 | hskp5 | (~ndr1_0) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759)))) <=> ((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp20 | hskp5 | c1_1(a759) | (~ndr1_0) | (~c2_1(a759)) | (~c3_1(a759)))),
% 1.11/1.02 inference(transitivity,[status(thm)],[1826, 1824])).
% 1.11/1.02 tff(1828,plain,
% 1.11/1.02 ((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp20 | hskp5 | (~ndr1_0) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759)))),
% 1.11/1.02 inference(quant_inst,[status(thm)],[])).
% 1.11/1.02 tff(1829,plain,
% 1.11/1.02 ((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp20 | hskp5 | c1_1(a759) | (~ndr1_0) | (~c2_1(a759)) | (~c3_1(a759))),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1828, 1827])).
% 1.11/1.02 tff(1830,plain,
% 1.11/1.02 (hskp20 | hskp5),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1829, 116, 1823, 1822, 1811, 1821])).
% 1.11/1.02 tff(1831,plain,
% 1.11/1.02 (hskp20),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1830, 423])).
% 1.11/1.02 tff(1832,plain,
% 1.11/1.02 (((~hskp20) | (~c3_1(a779))) <=> ((~hskp20) | (~c3_1(a779)))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1833,plain,
% 1.11/1.02 (((~c3_1(a779)) | (~hskp20)) <=> ((~hskp20) | (~c3_1(a779)))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1834,axiom,((~c3_1(a779)) | (~hskp20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause88')).
% 1.11/1.02 tff(1835,plain,
% 1.11/1.02 ((~hskp20) | (~c3_1(a779))),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1834, 1833])).
% 1.11/1.02 tff(1836,plain,
% 1.11/1.02 ((~hskp20) | (~c3_1(a779))),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1835, 1832])).
% 1.11/1.02 tff(1837,plain,
% 1.11/1.02 (~c3_1(a779)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1836, 1831])).
% 1.11/1.02 tff(1838,plain,
% 1.11/1.02 (((~hskp20) | (~c1_1(a779))) <=> ((~hskp20) | (~c1_1(a779)))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1839,plain,
% 1.11/1.02 (((~c1_1(a779)) | (~hskp20)) <=> ((~hskp20) | (~c1_1(a779)))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1840,axiom,((~c1_1(a779)) | (~hskp20)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause87')).
% 1.11/1.02 tff(1841,plain,
% 1.11/1.02 ((~hskp20) | (~c1_1(a779))),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1840, 1839])).
% 1.11/1.02 tff(1842,plain,
% 1.11/1.02 ((~hskp20) | (~c1_1(a779))),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1841, 1838])).
% 1.11/1.02 tff(1843,plain,
% 1.11/1.02 (~c1_1(a779)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1842, 1831])).
% 1.11/1.02 tff(1844,plain,
% 1.11/1.02 (((~hskp20) | c2_1(a779)) <=> ((~hskp20) | c2_1(a779))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1845,axiom,((~hskp20) | c2_1(a779)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause54')).
% 1.11/1.02 tff(1846,plain,
% 1.11/1.02 ((~hskp20) | c2_1(a779)),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1845, 1844])).
% 1.11/1.02 tff(1847,plain,
% 1.11/1.02 ((~hskp20) | c2_1(a779)),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1846, 1844])).
% 1.11/1.02 tff(1848,plain,
% 1.11/1.02 ((~hskp20) | c2_1(a779)),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1847, 1844])).
% 1.11/1.02 tff(1849,plain,
% 1.11/1.02 ((~hskp20) | c2_1(a779)),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1848, 1844])).
% 1.11/1.02 tff(1850,plain,
% 1.11/1.02 ((~hskp20) | c2_1(a779)),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1849, 1844])).
% 1.11/1.02 tff(1851,plain,
% 1.11/1.02 ((~hskp20) | c2_1(a779)),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1850, 1844])).
% 1.11/1.02 tff(1852,plain,
% 1.11/1.02 ((~hskp20) | c2_1(a779)),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1851, 1844])).
% 1.11/1.02 tff(1853,plain,
% 1.11/1.02 ((~hskp20) | c2_1(a779)),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1852, 1844])).
% 1.11/1.02 tff(1854,plain,
% 1.11/1.02 (c2_1(a779)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1853, 1831])).
% 1.11/1.02 tff(1855,plain,
% 1.11/1.02 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | c1_1(a779) | c3_1(a779) | c1_1(a759) | (~ndr1_0) | (~c3_1(a759)) | (~c0_1(a759)) | (~c2_1(a779)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a779) | c3_1(a779) | c1_1(a759) | (~ndr1_0) | (~c3_1(a759)) | (~c0_1(a759)) | (~c2_1(a779)))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1856,plain,
% 1.11/1.02 ((hskp5 | (~ndr1_0) | c1_1(a759) | (~c3_1(a759)) | (~c0_1(a759)) | c3_1(a779) | c1_1(a779) | (~c2_1(a779))) <=> (hskp5 | c1_1(a779) | c3_1(a779) | c1_1(a759) | (~ndr1_0) | (~c3_1(a759)) | (~c0_1(a759)) | (~c2_1(a779)))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1857,plain,
% 1.11/1.02 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a759) | (~c3_1(a759)) | (~c0_1(a759)) | c3_1(a779) | c1_1(a779) | (~c2_1(a779)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | c1_1(a779) | c3_1(a779) | c1_1(a759) | (~ndr1_0) | (~c3_1(a759)) | (~c0_1(a759)) | (~c2_1(a779))))),
% 1.11/1.02 inference(monotonicity,[status(thm)],[1856])).
% 1.11/1.02 tff(1858,plain,
% 1.11/1.02 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a759) | (~c3_1(a759)) | (~c0_1(a759)) | c3_1(a779) | c1_1(a779) | (~c2_1(a779)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a779) | c3_1(a779) | c1_1(a759) | (~ndr1_0) | (~c3_1(a759)) | (~c0_1(a759)) | (~c2_1(a779)))),
% 1.11/1.02 inference(transitivity,[status(thm)],[1857, 1855])).
% 1.11/1.02 tff(1859,plain,
% 1.11/1.02 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a759) | (~c3_1(a759)) | (~c0_1(a759)) | c3_1(a779) | c1_1(a779) | (~c2_1(a779)))),
% 1.11/1.02 inference(quant_inst,[status(thm)],[])).
% 1.11/1.02 tff(1860,plain,
% 1.11/1.02 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a779) | c3_1(a779) | c1_1(a759) | (~ndr1_0) | (~c3_1(a759)) | (~c0_1(a759)) | (~c2_1(a779))),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1859, 1858])).
% 1.11/1.02 tff(1861,plain,
% 1.11/1.02 ($false),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1860, 116, 423, 1854, 1822, 1843, 1837, 1811, 1555, 1810])).
% 1.11/1.02 tff(1862,plain,(hskp5 | (~c3_1(a759)) | c1_1(a759) | (~c0_1(a759)) | (~c2_1(a759))), inference(lemma,lemma(discharge,[]))).
% 1.11/1.02 tff(1863,plain,
% 1.11/1.02 (hskp5),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1862, 1802, 1801, 1809, 1800])).
% 1.11/1.02 tff(1864,plain,
% 1.11/1.02 (c2_1(a735)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[454, 1863])).
% 1.11/1.02 tff(1865,plain,
% 1.11/1.02 (c3_1(a735)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[443, 1863])).
% 1.11/1.02 tff(1866,plain,
% 1.11/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c1_1(a759) | c0_1(a735) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c0_1(a731)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c2_1(a759)) | (~c3_1(a759)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c1_1(a759) | c0_1(a735) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c0_1(a731)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c2_1(a759)) | (~c3_1(a759)))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1867,plain,
% 1.11/1.02 (((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735))) <=> (c1_1(a759) | c0_1(a735) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c0_1(a731)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c2_1(a759)) | (~c3_1(a759)))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1868,plain,
% 1.11/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c1_1(a759) | c0_1(a735) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c0_1(a731)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c2_1(a759)) | (~c3_1(a759))))),
% 1.11/1.02 inference(monotonicity,[status(thm)],[1867])).
% 1.11/1.02 tff(1869,plain,
% 1.11/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c1_1(a759) | c0_1(a735) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c0_1(a731)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c2_1(a759)) | (~c3_1(a759)))),
% 1.11/1.02 inference(transitivity,[status(thm)],[1868, 1866])).
% 1.11/1.02 tff(1870,plain,
% 1.11/1.02 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735)))),
% 1.11/1.02 inference(quant_inst,[status(thm)],[])).
% 1.11/1.02 tff(1871,plain,
% 1.11/1.02 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c1_1(a759) | c0_1(a735) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c0_1(a731)) | (~c3_1(a735)) | (~c2_1(a735)) | (~c2_1(a759)) | (~c3_1(a759))),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1870, 1869])).
% 1.11/1.02 tff(1872,plain,
% 1.11/1.02 ((~c3_1(a735)) | (~c2_1(a735))),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1871, 116, 1800, 1802, 1790, 1801, 496, 1789, 494, 1791])).
% 1.11/1.02 tff(1873,plain,
% 1.11/1.02 ($false),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1872, 1865, 1864])).
% 1.11/1.02 tff(1874,plain,(c0_1(a735) | hskp7 | c3_1(a744) | c0_1(a744) | hskp12 | c3_1(a734) | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.11/1.02 tff(1875,plain,
% 1.11/1.02 (c0_1(a735)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1874, 1192, 1125, 1190, 1126, 33, 22])).
% 1.11/1.02 tff(1876,plain,
% 1.11/1.02 (~hskp5),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[460, 1875])).
% 1.11/1.02 tff(1877,plain,
% 1.11/1.02 (c2_1(a734)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1188, 1876, 22])).
% 1.11/1.02 tff(1878,plain,
% 1.11/1.02 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | c3_1(a744) | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | c2_1(a744))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c3_1(a744) | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | c2_1(a744))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1879,plain,
% 1.11/1.02 ((hskp5 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c1_1(a744)) | c0_1(a744) | c2_1(a744) | (~c1_1(a744))) <=> (hskp5 | c3_1(a744) | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | c2_1(a744))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1880,plain,
% 1.11/1.02 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c1_1(a744)) | c0_1(a744) | c2_1(a744) | (~c1_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | c3_1(a744) | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | c2_1(a744)))),
% 1.11/1.02 inference(monotonicity,[status(thm)],[1879])).
% 1.11/1.02 tff(1881,plain,
% 1.11/1.02 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c1_1(a744)) | c0_1(a744) | c2_1(a744) | (~c1_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c3_1(a744) | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | c2_1(a744))),
% 1.11/1.02 inference(transitivity,[status(thm)],[1880, 1878])).
% 1.11/1.02 tff(1882,plain,
% 1.11/1.02 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a744) | c3_1(a744) | (~c1_1(a744)) | c0_1(a744) | c2_1(a744) | (~c1_1(a744)))),
% 1.11/1.02 inference(quant_inst,[status(thm)],[])).
% 1.11/1.02 tff(1883,plain,
% 1.11/1.02 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c3_1(a744) | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | c2_1(a744)),
% 1.11/1.02 inference(modus_ponens,[status(thm)],[1882, 1881])).
% 1.11/1.02 tff(1884,plain,
% 1.11/1.02 (hskp5 | c3_1(a744) | (~c1_1(a744)) | c2_1(a744)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1883, 116, 1190, 1266])).
% 1.11/1.02 tff(1885,plain,
% 1.11/1.02 (c2_1(a744)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1884, 1876, 1575, 1192])).
% 1.11/1.02 tff(1886,plain,
% 1.11/1.02 (~hskp2),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1630, 1885, 1192, 1190, 1576])).
% 1.11/1.02 tff(1887,plain,
% 1.11/1.02 (hskp1),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1775, 1886, 1192, 1190, 1885, 1160, 1556, 1161, 1575, 1144, 1877, 33, 1876, 1126, 1125])).
% 1.11/1.02 tff(1888,plain,
% 1.11/1.02 (~c2_1(a731)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[61, 1887])).
% 1.11/1.02 tff(1889,plain,
% 1.11/1.02 (c3_1(a731)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[72, 1887])).
% 1.11/1.02 tff(1890,plain,
% 1.11/1.02 (c0_1(a731)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1135, 116, 1126, 1125, 1889, 1888, 1124])).
% 1.11/1.02 tff(1891,plain,
% 1.11/1.02 (c1_1(a731)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[83, 1887])).
% 1.11/1.02 tff(1892,plain,
% 1.11/1.02 (hskp13 | (~c0_1(a731))),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1798, 116, 1192, 1891, 1190, 1575, 1888, 32])).
% 1.11/1.02 tff(1893,plain,
% 1.11/1.02 (hskp13),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1892, 1890])).
% 1.11/1.02 tff(1894,plain,
% 1.11/1.02 (c3_1(a759)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[969, 1893])).
% 1.11/1.02 tff(1895,plain,
% 1.11/1.02 (c2_1(a759)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[980, 1893])).
% 1.11/1.02 tff(1896,plain,
% 1.11/1.02 (~c1_1(a759)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[957, 1893])).
% 1.11/1.02 tff(1897,plain,
% 1.11/1.02 (~c0_1(a759)),
% 1.11/1.02 inference(unit_resolution,[status(thm)],[1862, 1896, 1876, 1895, 1894])).
% 1.11/1.02 tff(1898,plain,
% 1.11/1.02 (^[V: $i, U: $i] : refl((hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))))),
% 1.11/1.02 inference(bind,[status(th)],[])).
% 1.11/1.02 tff(1899,plain,
% 1.11/1.02 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.11/1.02 inference(quant_intro,[status(thm)],[1898])).
% 1.11/1.02 tff(1900,plain,
% 1.11/1.02 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.11/1.02 inference(rewrite,[status(thm)],[])).
% 1.11/1.02 tff(1901,plain,
% 1.11/1.02 (^[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) | (~c2_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V))))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V))))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c0_1(V)) | c1_1(V)) | hskp5) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) | hskp5))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) | hskp5) <=> (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c0_1(V)) | c1_1(V)) | hskp5) <=> (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))))),
% 1.11/1.02 inference(bind,[status(th)],[])).
% 1.11/1.02 tff(1902,plain,
% 1.11/1.02 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c0_1(V)) | c1_1(V)) | hskp5) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.11/1.02 inference(quant_intro,[status(thm)],[1901])).
% 1.11/1.03 tff(1903,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c0_1(U)) | c0_1(V)) | c1_1(V)) | hskp5)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause154')).
% 1.11/1.03 tff(1904,plain,
% 1.11/1.03 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1903, 1902])).
% 1.11/1.03 tff(1905,plain,
% 1.11/1.03 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1904, 1900])).
% 1.11/1.03 tff(1906,plain,(
% 1.11/1.03 ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.11/1.03 inference(skolemize,[status(sab)],[1905])).
% 1.11/1.03 tff(1907,plain,
% 1.11/1.03 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1906, 1899])).
% 1.11/1.03 tff(1908,plain,
% 1.11/1.03 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c1_1(a759) | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a759)) | c0_1(a759))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c1_1(a759) | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a759)) | c0_1(a759))),
% 1.11/1.03 inference(rewrite,[status(thm)],[])).
% 1.11/1.03 tff(1909,plain,
% 1.11/1.03 ((hskp5 | (~ndr1_0) | c0_1(a744) | (~c2_1(a744)) | (~c1_1(a744)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759))) <=> (hskp5 | c1_1(a759) | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a759)) | c0_1(a759))),
% 1.11/1.03 inference(rewrite,[status(thm)],[])).
% 1.11/1.03 tff(1910,plain,
% 1.11/1.03 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a744) | (~c2_1(a744)) | (~c1_1(a744)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c1_1(a759) | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a759)) | c0_1(a759)))),
% 1.11/1.03 inference(monotonicity,[status(thm)],[1909])).
% 1.11/1.03 tff(1911,plain,
% 1.11/1.03 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a744) | (~c2_1(a744)) | (~c1_1(a744)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c1_1(a759) | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a759)) | c0_1(a759))),
% 1.11/1.03 inference(transitivity,[status(thm)],[1910, 1908])).
% 1.11/1.03 tff(1912,plain,
% 1.11/1.03 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a744) | (~c2_1(a744)) | (~c1_1(a744)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))),
% 1.11/1.03 inference(quant_inst,[status(thm)],[])).
% 1.11/1.03 tff(1913,plain,
% 1.11/1.03 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c1_1(a759) | c0_1(a744) | (~c1_1(a744)) | (~ndr1_0) | (~c2_1(a744)) | (~c3_1(a759)) | c0_1(a759)),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1912, 1911])).
% 1.11/1.03 tff(1914,plain,
% 1.11/1.03 ($false),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1913, 116, 1876, 1894, 1896, 1190, 1575, 1907, 1885, 1897])).
% 1.11/1.03 tff(1915,plain,(c3_1(a744) | c0_1(a744) | hskp12 | hskp7 | c3_1(a734) | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.11/1.03 tff(1916,plain,
% 1.11/1.03 (c3_1(a744)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1915, 1190, 1126, 1125, 33, 22])).
% 1.11/1.03 tff(1917,plain,
% 1.11/1.03 (c2_1(a744)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1208, 1916])).
% 1.11/1.03 tff(1918,plain,
% 1.11/1.03 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c2_1(a775) | c3_1(a775) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c0_1(a775))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c2_1(a775) | c3_1(a775) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c0_1(a775))),
% 1.11/1.03 inference(rewrite,[status(thm)],[])).
% 1.11/1.03 tff(1919,plain,
% 1.11/1.03 ((hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a775) | c0_1(a775) | c2_1(a775)) <=> (hskp8 | c2_1(a775) | c3_1(a775) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c0_1(a775))),
% 1.11/1.03 inference(rewrite,[status(thm)],[])).
% 1.11/1.03 tff(1920,plain,
% 1.11/1.03 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a775) | c0_1(a775) | c2_1(a775))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c2_1(a775) | c3_1(a775) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c0_1(a775)))),
% 1.11/1.03 inference(monotonicity,[status(thm)],[1919])).
% 1.11/1.03 tff(1921,plain,
% 1.11/1.03 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a775) | c0_1(a775) | c2_1(a775))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c2_1(a775) | c3_1(a775) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c0_1(a775))),
% 1.11/1.03 inference(transitivity,[status(thm)],[1920, 1918])).
% 1.11/1.03 tff(1922,plain,
% 1.11/1.03 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a775) | c0_1(a775) | c2_1(a775))),
% 1.11/1.03 inference(quant_inst,[status(thm)],[])).
% 1.11/1.03 tff(1923,plain,
% 1.11/1.03 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c2_1(a775) | c3_1(a775) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c0_1(a775)),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1922, 1921])).
% 1.11/1.03 tff(1924,plain,
% 1.11/1.03 (c0_1(a775)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1923, 1595, 116, 1736, 1730, 22, 33, 670, 1632])).
% 1.11/1.03 tff(1925,plain,
% 1.11/1.03 (((~hskp18) | c1_1(a775)) <=> ((~hskp18) | c1_1(a775))),
% 1.11/1.03 inference(rewrite,[status(thm)],[])).
% 1.11/1.03 tff(1926,axiom,((~hskp18) | c1_1(a775)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause56')).
% 1.11/1.03 tff(1927,plain,
% 1.11/1.03 ((~hskp18) | c1_1(a775)),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1926, 1925])).
% 1.11/1.03 tff(1928,plain,
% 1.11/1.03 ((~hskp18) | c1_1(a775)),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1927, 1925])).
% 1.11/1.03 tff(1929,plain,
% 1.11/1.03 ((~hskp18) | c1_1(a775)),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1928, 1925])).
% 1.11/1.03 tff(1930,plain,
% 1.11/1.03 ((~hskp18) | c1_1(a775)),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1929, 1925])).
% 1.11/1.03 tff(1931,plain,
% 1.11/1.03 ((~hskp18) | c1_1(a775)),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1930, 1925])).
% 1.11/1.03 tff(1932,plain,
% 1.11/1.03 ((~hskp18) | c1_1(a775)),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1931, 1925])).
% 1.11/1.03 tff(1933,plain,
% 1.11/1.03 ((~hskp18) | c1_1(a775)),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1932, 1925])).
% 1.11/1.03 tff(1934,plain,
% 1.11/1.03 ((~hskp18) | c1_1(a775)),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1933, 1925])).
% 1.11/1.03 tff(1935,plain,
% 1.11/1.03 (c1_1(a775)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1934, 1724])).
% 1.11/1.03 tff(1936,plain,
% 1.11/1.03 (hskp25),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1761, 116, 1754, 1736, 1730, 1753, 1924])).
% 1.11/1.03 tff(1937,plain,
% 1.11/1.03 (c3_1(a729)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[831, 1936])).
% 1.11/1.03 tff(1938,plain,
% 1.11/1.03 (c2_1(a729)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[842, 1936])).
% 1.11/1.03 tff(1939,plain,
% 1.11/1.03 (c0_1(a729)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[853, 1936])).
% 1.11/1.03 tff(1940,plain,
% 1.11/1.03 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | c3_1(a775) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a775)) | (~c1_1(a775)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | c3_1(a775) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a775)) | (~c1_1(a775)))),
% 1.11/1.03 inference(rewrite,[status(thm)],[])).
% 1.11/1.03 tff(1941,plain,
% 1.11/1.03 ((hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a775) | (~c1_1(a775)) | (~c0_1(a775))) <=> (hskp1 | c3_1(a775) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a775)) | (~c1_1(a775)))),
% 1.11/1.03 inference(rewrite,[status(thm)],[])).
% 1.11/1.03 tff(1942,plain,
% 1.11/1.03 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a775) | (~c1_1(a775)) | (~c0_1(a775)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | c3_1(a775) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a775)) | (~c1_1(a775))))),
% 1.11/1.03 inference(monotonicity,[status(thm)],[1941])).
% 1.11/1.03 tff(1943,plain,
% 1.11/1.03 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a775) | (~c1_1(a775)) | (~c0_1(a775)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | c3_1(a775) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a775)) | (~c1_1(a775)))),
% 1.11/1.03 inference(transitivity,[status(thm)],[1942, 1940])).
% 1.11/1.03 tff(1944,plain,
% 1.11/1.03 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a775) | (~c1_1(a775)) | (~c0_1(a775)))),
% 1.11/1.03 inference(quant_inst,[status(thm)],[])).
% 1.11/1.03 tff(1945,plain,
% 1.11/1.03 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | c3_1(a775) | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | (~c0_1(a775)) | (~c1_1(a775))),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1944, 1943])).
% 1.11/1.03 tff(1946,plain,
% 1.11/1.03 ($false),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1945, 116, 279, 1939, 1938, 1937, 1935, 1730, 809, 1924])).
% 1.11/1.03 tff(1947,plain,((~hskp18) | hskp1 | hskp9 | hskp8 | c0_1(a734) | c3_1(a734) | (~c2_1(a734))), inference(lemma,lemma(discharge,[]))).
% 1.11/1.03 tff(1948,plain,
% 1.11/1.03 (~hskp18),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1947, 279, 1157, 1576, 22, 33, 1189])).
% 1.11/1.03 tff(1949,plain,
% 1.11/1.03 (hskp27),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1682, 21, 1102, 1632])).
% 1.11/1.03 tff(1950,plain,
% 1.11/1.03 (c2_1(a750)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[787, 1949])).
% 1.11/1.03 tff(1951,plain,
% 1.11/1.03 (c0_1(a750)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[776, 1949])).
% 1.11/1.03 tff(1952,plain,
% 1.11/1.03 (~c3_1(a750)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1712, 1951, 508, 507, 495, 1622, 279, 1950, 1190, 1633, 423])).
% 1.11/1.03 tff(1953,plain,
% 1.11/1.03 (c1_1(a750)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[798, 1949])).
% 1.11/1.03 tff(1954,assumption,(~hskp18), introduced(assumption)).
% 1.11/1.03 tff(1955,plain,
% 1.11/1.03 ($false),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1721, 116, 1954, 21, 1951, 1953, 1171, 1952])).
% 1.11/1.03 tff(1956,plain,(hskp11 | hskp18 | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a730) | (~c2_1(a744)) | hskp1 | c0_1(a744) | (~c1_1(a744)) | hskp5 | (~c1_1(a734)) | (~c2_1(a734)) | c3_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.11/1.03 tff(1957,plain,
% 1.11/1.03 (hskp11),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1956, 1948, 1160, 1556, 1161, 1917, 279, 1190, 1575, 423, 1144, 1189, 33])).
% 1.11/1.03 tff(1958,plain,
% 1.11/1.03 (~c0_1(a749)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1639, 1957])).
% 1.11/1.03 tff(1959,plain,
% 1.11/1.03 (c2_1(a749)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1659, 1958, 423, 1126, 1125])).
% 1.11/1.03 tff(1960,plain,
% 1.11/1.03 (hskp2),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1674, 1957, 423, 279, 1126, 1125])).
% 1.11/1.03 tff(1961,plain,
% 1.11/1.03 (~c3_1(a732)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[591, 1960])).
% 1.11/1.03 tff(1962,plain,
% 1.11/1.03 (~c2_1(a732)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[306, 1960])).
% 1.11/1.03 tff(1963,plain,
% 1.11/1.03 (~c0_1(a732)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[312, 1960])).
% 1.11/1.03 tff(1964,plain,
% 1.11/1.03 (((~hskp11) | (~c3_1(a749))) <=> ((~hskp11) | (~c3_1(a749)))),
% 1.11/1.03 inference(rewrite,[status(thm)],[])).
% 1.11/1.03 tff(1965,plain,
% 1.11/1.03 (((~c3_1(a749)) | (~hskp11)) <=> ((~hskp11) | (~c3_1(a749)))),
% 1.11/1.03 inference(rewrite,[status(thm)],[])).
% 1.11/1.03 tff(1966,axiom,((~c3_1(a749)) | (~hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause102')).
% 1.11/1.03 tff(1967,plain,
% 1.11/1.03 ((~hskp11) | (~c3_1(a749))),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1966, 1965])).
% 1.11/1.03 tff(1968,plain,
% 1.11/1.03 ((~hskp11) | (~c3_1(a749))),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1967, 1964])).
% 1.11/1.03 tff(1969,plain,
% 1.11/1.03 (~c3_1(a749)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1968, 1957])).
% 1.11/1.03 tff(1970,plain,
% 1.11/1.03 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a749) | c3_1(a749) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a749)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a749) | c3_1(a749) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a749)))),
% 1.11/1.03 inference(rewrite,[status(thm)],[])).
% 1.11/1.03 tff(1971,plain,
% 1.11/1.03 ((hskp8 | (~ndr1_0) | c0_1(a749) | c3_1(a749) | (~c2_1(a749)) | c3_1(a732) | c0_1(a732) | c2_1(a732)) <=> (hskp8 | c0_1(a749) | c3_1(a749) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a749)))),
% 1.11/1.03 inference(rewrite,[status(thm)],[])).
% 1.11/1.03 tff(1972,plain,
% 1.11/1.03 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a749) | c3_1(a749) | (~c2_1(a749)) | c3_1(a732) | c0_1(a732) | c2_1(a732))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a749) | c3_1(a749) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a749))))),
% 1.11/1.03 inference(monotonicity,[status(thm)],[1971])).
% 1.11/1.03 tff(1973,plain,
% 1.11/1.03 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a749) | c3_1(a749) | (~c2_1(a749)) | c3_1(a732) | c0_1(a732) | c2_1(a732))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a749) | c3_1(a749) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a749)))),
% 1.11/1.03 inference(transitivity,[status(thm)],[1972, 1970])).
% 1.11/1.03 tff(1974,plain,
% 1.11/1.03 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a749) | c3_1(a749) | (~c2_1(a749)) | c3_1(a732) | c0_1(a732) | c2_1(a732))),
% 1.11/1.03 inference(quant_inst,[status(thm)],[])).
% 1.11/1.03 tff(1975,plain,
% 1.11/1.03 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a749) | c3_1(a749) | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c2_1(a749))),
% 1.11/1.03 inference(modus_ponens,[status(thm)],[1974, 1973])).
% 1.11/1.03 tff(1976,plain,
% 1.11/1.03 ($false),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1975, 1576, 116, 1958, 1969, 1963, 1962, 1961, 670, 1959])).
% 1.11/1.03 tff(1977,plain,(hskp1 | hskp5 | hskp12 | hskp7 | c0_1(a744) | c3_1(a734) | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.11/1.03 tff(1978,plain,
% 1.11/1.03 (hskp1),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1977, 423, 1126, 1125, 1190, 33, 22])).
% 1.11/1.03 tff(1979,plain,
% 1.11/1.03 (~c2_1(a731)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[61, 1978])).
% 1.11/1.03 tff(1980,plain,
% 1.11/1.03 (c3_1(a731)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[72, 1978])).
% 1.11/1.03 tff(1981,plain,
% 1.11/1.03 (c0_1(a731)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[1135, 116, 1126, 1125, 1980, 1979, 1124])).
% 1.11/1.03 tff(1982,plain,
% 1.11/1.03 (c1_1(a731)),
% 1.11/1.03 inference(unit_resolution,[status(thm)],[83, 1978])).
% 1.11/1.03 tff(1983,plain,
% 1.11/1.03 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | c0_1(a734) | c3_1(a734) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp13 | c0_1(a734) | c3_1(a734) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)) | (~c1_1(a734)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(1984,plain,
% 1.17/1.03 ((hskp13 | (~ndr1_0) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c3_1(a734) | c0_1(a734) | (~c1_1(a734))) <=> (hskp13 | c0_1(a734) | c3_1(a734) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)) | (~c1_1(a734)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(1985,plain,
% 1.17/1.03 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | (~ndr1_0) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c3_1(a734) | c0_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | c0_1(a734) | c3_1(a734) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)) | (~c1_1(a734))))),
% 1.17/1.03 inference(monotonicity,[status(thm)],[1984])).
% 1.17/1.03 tff(1986,plain,
% 1.17/1.03 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | (~ndr1_0) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c3_1(a734) | c0_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp13 | c0_1(a734) | c3_1(a734) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)) | (~c1_1(a734)))),
% 1.17/1.03 inference(transitivity,[status(thm)],[1985, 1983])).
% 1.17/1.03 tff(1987,plain,
% 1.17/1.03 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | (~ndr1_0) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c3_1(a734) | c0_1(a734) | (~c1_1(a734)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(1988,plain,
% 1.17/1.03 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp13 | c0_1(a734) | c3_1(a734) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)) | (~c1_1(a734))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[1987, 1986])).
% 1.17/1.03 tff(1989,plain,
% 1.17/1.03 (hskp13),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[1988, 116, 1144, 1982, 22, 33, 1979, 32, 1981])).
% 1.17/1.03 tff(1990,plain,
% 1.17/1.03 (c3_1(a759)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[969, 1989])).
% 1.17/1.03 tff(1991,plain,
% 1.17/1.03 (c2_1(a759)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[980, 1989])).
% 1.17/1.03 tff(1992,plain,
% 1.17/1.03 (~c1_1(a759)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[957, 1989])).
% 1.17/1.03 tff(1993,plain,
% 1.17/1.03 (~c0_1(a759)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[1862, 1992, 423, 1991, 1990])).
% 1.17/1.03 tff(1994,plain,
% 1.17/1.03 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c0_1(a744) | c2_1(a731) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c3_1(a731)) | (~c0_1(a731)) | (~c2_1(a744)) | (~c3_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a744) | c2_1(a731) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c3_1(a731)) | (~c0_1(a731)) | (~c2_1(a744)) | (~c3_1(a744)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(1995,plain,
% 1.17/1.03 (((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744))) <=> (c0_1(a744) | c2_1(a731) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c3_1(a731)) | (~c0_1(a731)) | (~c2_1(a744)) | (~c3_1(a744)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(1996,plain,
% 1.17/1.03 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c0_1(a744) | c2_1(a731) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c3_1(a731)) | (~c0_1(a731)) | (~c2_1(a744)) | (~c3_1(a744))))),
% 1.17/1.03 inference(monotonicity,[status(thm)],[1995])).
% 1.17/1.03 tff(1997,plain,
% 1.17/1.03 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a744) | c2_1(a731) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c3_1(a731)) | (~c0_1(a731)) | (~c2_1(a744)) | (~c3_1(a744)))),
% 1.17/1.03 inference(transitivity,[status(thm)],[1996, 1994])).
% 1.17/1.03 tff(1998,plain,
% 1.17/1.03 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(1999,plain,
% 1.17/1.03 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a744) | c2_1(a731) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c3_1(a731)) | (~c0_1(a731)) | (~c2_1(a744)) | (~c3_1(a744))),
% 1.17/1.03 inference(modus_ponens,[status(thm)],[1998, 1997])).
% 1.17/1.03 tff(2000,plain,
% 1.17/1.03 (~c2_1(a730)),
% 1.17/1.03 inference(unit_resolution,[status(thm)],[1999, 116, 1916, 1980, 1556, 1190, 1979, 1161, 494, 1917, 1981])).
% 1.17/1.03 tff(2001,plain,
% 1.17/1.03 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c2_1(a731) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c3_1(a731)) | (~c1_1(a731)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c2_1(a731) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c3_1(a731)) | (~c1_1(a731)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(2002,plain,
% 1.17/1.03 ((hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c1_1(a730) | c2_1(a730) | (~c3_1(a730))) <=> (hskp11 | c2_1(a731) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c3_1(a731)) | (~c1_1(a731)))),
% 1.17/1.03 inference(rewrite,[status(thm)],[])).
% 1.17/1.03 tff(2003,plain,
% 1.17/1.03 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c1_1(a730) | c2_1(a730) | (~c3_1(a730)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c2_1(a731) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c3_1(a731)) | (~c1_1(a731))))),
% 1.17/1.03 inference(monotonicity,[status(thm)],[2002])).
% 1.17/1.03 tff(2004,plain,
% 1.17/1.03 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c1_1(a730) | c2_1(a730) | (~c3_1(a730)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c2_1(a731) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c3_1(a731)) | (~c1_1(a731)))),
% 1.17/1.03 inference(transitivity,[status(thm)],[2003, 2001])).
% 1.17/1.03 tff(2005,plain,
% 1.17/1.03 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c1_1(a730) | c2_1(a730) | (~c3_1(a730)))),
% 1.17/1.03 inference(quant_inst,[status(thm)],[])).
% 1.17/1.03 tff(2006,plain,
% 1.17/1.03 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c2_1(a731) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c3_1(a731)) | (~c1_1(a731))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[2005, 2004])).
% 1.17/1.04 tff(2007,plain,
% 1.17/1.04 (hskp11),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2006, 116, 1982, 1980, 1556, 1979, 1161, 387, 2000])).
% 1.17/1.04 tff(2008,plain,
% 1.17/1.04 (~c0_1(a749)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1639, 2007])).
% 1.17/1.04 tff(2009,plain,
% 1.17/1.04 (c2_1(a749)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1659, 2008, 423, 1126, 1125])).
% 1.17/1.04 tff(2010,plain,
% 1.17/1.04 (~c3_1(a749)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1968, 2007])).
% 1.17/1.04 tff(2011,plain,
% 1.17/1.04 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | c1_1(a759) | c0_1(a749) | c3_1(a749) | (~ndr1_0) | (~c2_1(a749)) | (~c3_1(a759)) | c0_1(a759))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c1_1(a759) | c0_1(a749) | c3_1(a749) | (~ndr1_0) | (~c2_1(a749)) | (~c3_1(a759)) | c0_1(a759))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2012,plain,
% 1.17/1.04 ((hskp7 | (~ndr1_0) | c0_1(a749) | c3_1(a749) | (~c2_1(a749)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759))) <=> (hskp7 | c1_1(a759) | c0_1(a749) | c3_1(a749) | (~ndr1_0) | (~c2_1(a749)) | (~c3_1(a759)) | c0_1(a759))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2013,plain,
% 1.17/1.04 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a749) | c3_1(a749) | (~c2_1(a749)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | c1_1(a759) | c0_1(a749) | c3_1(a749) | (~ndr1_0) | (~c2_1(a749)) | (~c3_1(a759)) | c0_1(a759)))),
% 1.17/1.04 inference(monotonicity,[status(thm)],[2012])).
% 1.17/1.04 tff(2014,plain,
% 1.17/1.04 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a749) | c3_1(a749) | (~c2_1(a749)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c1_1(a759) | c0_1(a749) | c3_1(a749) | (~ndr1_0) | (~c2_1(a749)) | (~c3_1(a759)) | c0_1(a759))),
% 1.17/1.04 inference(transitivity,[status(thm)],[2013, 2011])).
% 1.17/1.04 tff(2015,plain,
% 1.17/1.04 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a749) | c3_1(a749) | (~c2_1(a749)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(2016,plain,
% 1.17/1.04 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c1_1(a759) | c0_1(a749) | c3_1(a749) | (~ndr1_0) | (~c2_1(a749)) | (~c3_1(a759)) | c0_1(a759)),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[2015, 2014])).
% 1.17/1.04 tff(2017,plain,
% 1.17/1.04 ($false),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2016, 116, 1125, 1990, 1992, 2008, 2010, 1362, 2009, 1993])).
% 1.17/1.04 tff(2018,plain,(hskp5 | hskp7 | hskp12 | c0_1(a734) | c3_1(a734) | c0_1(a744)), inference(lemma,lemma(discharge,[]))).
% 1.17/1.04 tff(2019,plain,
% 1.17/1.04 (hskp5),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2018, 1190, 1126, 22, 33, 1125])).
% 1.17/1.04 tff(2020,plain,
% 1.17/1.04 (~c0_1(a735)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[460, 2019])).
% 1.17/1.04 tff(2021,plain,
% 1.17/1.04 (c2_1(a734)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1618, 2020, 22, 33, 1576, 1126, 1125])).
% 1.17/1.04 tff(2022,plain,
% 1.17/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a793) | c0_1(a744) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a793)) | (~c0_1(a793)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a744) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2023,plain,
% 1.17/1.04 (((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744))) <=> (c2_1(a793) | c0_1(a744) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2024,plain,
% 1.17/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a793) | c0_1(a744) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a793)) | (~c0_1(a793))))),
% 1.17/1.04 inference(monotonicity,[status(thm)],[2023])).
% 1.17/1.04 tff(2025,plain,
% 1.17/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a744) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.17/1.04 inference(transitivity,[status(thm)],[2024, 2022])).
% 1.17/1.04 tff(2026,plain,
% 1.17/1.04 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(2027,plain,
% 1.17/1.04 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a744) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)) | (~c3_1(a793)) | (~c0_1(a793))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[2026, 2025])).
% 1.17/1.04 tff(2028,plain,
% 1.17/1.04 ($false),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2027, 116, 546, 535, 1428, 507, 522, 1190, 495, 494, 1622, 484])).
% 1.17/1.04 tff(2029,plain,((~c2_1(a730)) | (~c3_1(a744)) | (~c3_1(a730)) | c0_1(a744) | c1_1(a730) | (~c2_1(a744)) | (~c0_1(a730))), inference(lemma,lemma(discharge,[]))).
% 1.17/1.04 tff(2030,plain,
% 1.17/1.04 (~c2_1(a730)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2029, 1916, 1556, 1190, 1161, 1917, 1160])).
% 1.17/1.04 tff(2031,plain,
% 1.17/1.04 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c0_1(a744) | (~c1_1(a744)) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c0_1(a744) | (~c1_1(a744)) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a744)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2032,plain,
% 1.17/1.04 ((hskp2 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c0_1(a730)) | c0_1(a744) | (~c3_1(a744)) | (~c1_1(a744))) <=> (hskp2 | c0_1(a744) | (~c1_1(a744)) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a744)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2033,plain,
% 1.17/1.04 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c0_1(a730)) | c0_1(a744) | (~c3_1(a744)) | (~c1_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c0_1(a744) | (~c1_1(a744)) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a744))))),
% 1.17/1.04 inference(monotonicity,[status(thm)],[2032])).
% 1.17/1.04 tff(2034,plain,
% 1.17/1.04 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c0_1(a730)) | c0_1(a744) | (~c3_1(a744)) | (~c1_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c0_1(a744) | (~c1_1(a744)) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a744)))),
% 1.17/1.04 inference(transitivity,[status(thm)],[2033, 2031])).
% 1.17/1.04 tff(2035,plain,
% 1.17/1.04 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c0_1(a730)) | c0_1(a744) | (~c3_1(a744)) | (~c1_1(a744)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(2036,plain,
% 1.17/1.04 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c0_1(a744) | (~c1_1(a744)) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a744))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[2035, 2034])).
% 1.17/1.04 tff(2037,plain,
% 1.17/1.04 (hskp2),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2036, 116, 1916, 1160, 1190, 1575, 1161, 575, 2030])).
% 1.17/1.04 tff(2038,plain,
% 1.17/1.04 (~c3_1(a732)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[591, 2037])).
% 1.17/1.04 tff(2039,plain,
% 1.17/1.04 (~c2_1(a732)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[306, 2037])).
% 1.17/1.04 tff(2040,plain,
% 1.17/1.04 (~c0_1(a732)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[312, 2037])).
% 1.17/1.04 tff(2041,plain,
% 1.17/1.04 ($false),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1231, 1576, 116, 22, 33, 2040, 2039, 2038, 670, 2021])).
% 1.17/1.04 tff(2042,plain,(c0_1(a744) | c0_1(a734) | c3_1(a734) | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.17/1.04 tff(2043,plain,
% 1.17/1.04 (c0_1(a744)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2042, 22, 33, 1126, 1125])).
% 1.17/1.04 tff(2044,plain,
% 1.17/1.04 (~hskp8),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[726, 2043])).
% 1.17/1.04 tff(2045,plain,
% 1.17/1.04 (hskp2),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1674, 1634, 423, 279, 1126, 1125])).
% 1.17/1.04 tff(2046,plain,
% 1.17/1.04 (~c3_1(a732)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[591, 2045])).
% 1.17/1.04 tff(2047,plain,
% 1.17/1.04 (~c2_1(a732)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[306, 2045])).
% 1.17/1.04 tff(2048,plain,
% 1.17/1.04 (~c0_1(a732)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[312, 2045])).
% 1.17/1.04 tff(2049,plain,
% 1.17/1.04 (~c3_1(a749)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1968, 1634])).
% 1.17/1.04 tff(2050,plain,
% 1.17/1.04 ($false),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1975, 1595, 116, 1640, 2049, 2048, 2047, 2046, 670, 1660])).
% 1.17/1.04 tff(2051,plain,((~hskp11) | hskp8 | hskp5 | hskp12 | hskp7 | hskp1), inference(lemma,lemma(discharge,[]))).
% 1.17/1.04 tff(2052,plain,
% 1.17/1.04 (~hskp11),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2051, 279, 423, 1126, 1125, 2044])).
% 1.17/1.04 tff(2053,plain,
% 1.17/1.04 (hskp27),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1682, 2052, 1144, 1189])).
% 1.17/1.04 tff(2054,plain,
% 1.17/1.04 (c1_1(a750)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[798, 2053])).
% 1.17/1.04 tff(2055,plain,
% 1.17/1.04 (c0_1(a750)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[776, 2053])).
% 1.17/1.04 tff(2056,plain,
% 1.17/1.04 (~hskp18),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1947, 279, 1157, 2044, 22, 33, 1189])).
% 1.17/1.04 tff(2057,plain,
% 1.17/1.04 (c3_1(a750)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1721, 116, 2056, 2052, 2055, 2054, 1171])).
% 1.17/1.04 tff(2058,plain,
% 1.17/1.04 (c2_1(a750)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[787, 2053])).
% 1.17/1.04 tff(2059,plain,
% 1.17/1.04 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a734)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2060,plain,
% 1.17/1.04 ((hskp16 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c0_1(a734) | (~c2_1(a734)) | (~c1_1(a734))) <=> (hskp16 | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a734)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2061,plain,
% 1.17/1.04 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c0_1(a734) | (~c2_1(a734)) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a734))))),
% 1.17/1.04 inference(monotonicity,[status(thm)],[2060])).
% 1.17/1.04 tff(2062,plain,
% 1.17/1.04 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c0_1(a734) | (~c2_1(a734)) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a734)))),
% 1.17/1.04 inference(transitivity,[status(thm)],[2061, 2059])).
% 1.17/1.04 tff(2063,plain,
% 1.17/1.04 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c0_1(a734) | (~c2_1(a734)) | (~c1_1(a734)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(2064,plain,
% 1.17/1.04 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a734))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[2063, 2062])).
% 1.17/1.04 tff(2065,plain,
% 1.17/1.04 (hskp16),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2064, 116, 2055, 2058, 1144, 22, 820, 1189, 2057])).
% 1.17/1.04 tff(2066,plain,
% 1.17/1.04 (~c3_1(a764)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[866, 2065])).
% 1.17/1.04 tff(2067,plain,
% 1.17/1.04 (c0_1(a764)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[890, 2065])).
% 1.17/1.04 tff(2068,plain,
% 1.17/1.04 (~c1_1(a764)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1702, 116, 279, 2055, 2058, 2067, 2066, 809, 2057])).
% 1.17/1.04 tff(2069,plain,
% 1.17/1.04 (c2_1(a764)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[877, 2065])).
% 1.17/1.04 tff(2070,plain,
% 1.17/1.04 ($false),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1710, 116, 423, 2069, 1160, 1556, 2066, 1161, 1555, 2068])).
% 1.17/1.04 tff(2071,plain,(hskp1 | hskp5 | c0_1(a734) | c3_1(a734) | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.17/1.04 tff(2072,plain,
% 1.17/1.04 (hskp1),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2071, 423, 22, 33, 1126, 1125])).
% 1.17/1.04 tff(2073,plain,
% 1.17/1.04 (~c2_1(a731)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[61, 2072])).
% 1.17/1.04 tff(2074,plain,
% 1.17/1.04 (c3_1(a731)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[72, 2072])).
% 1.17/1.04 tff(2075,plain,
% 1.17/1.04 (c0_1(a731)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1135, 116, 1126, 1125, 2074, 2073, 1124])).
% 1.17/1.04 tff(2076,plain,
% 1.17/1.04 (c1_1(a731)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[83, 2072])).
% 1.17/1.04 tff(2077,plain,
% 1.17/1.04 (hskp13),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1988, 116, 1144, 2076, 22, 33, 2073, 32, 2075])).
% 1.17/1.04 tff(2078,plain,
% 1.17/1.04 (c3_1(a759)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[969, 2077])).
% 1.17/1.04 tff(2079,plain,
% 1.17/1.04 (c2_1(a759)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[980, 2077])).
% 1.17/1.04 tff(2080,plain,
% 1.17/1.04 (~c1_1(a759)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[957, 2077])).
% 1.17/1.04 tff(2081,plain,
% 1.17/1.04 (~c0_1(a759)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1862, 2080, 423, 2079, 2078])).
% 1.17/1.04 tff(2082,plain,
% 1.17/1.04 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c1_1(a759) | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | (~c3_1(a759)) | c0_1(a759))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c1_1(a759) | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | (~c3_1(a759)) | c0_1(a759))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2083,plain,
% 1.17/1.04 ((hskp5 | (~ndr1_0) | c0_1(a734) | (~c2_1(a734)) | (~c1_1(a734)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759))) <=> (hskp5 | c1_1(a759) | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | (~c3_1(a759)) | c0_1(a759))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2084,plain,
% 1.17/1.04 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a734) | (~c2_1(a734)) | (~c1_1(a734)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c1_1(a759) | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | (~c3_1(a759)) | c0_1(a759)))),
% 1.17/1.04 inference(monotonicity,[status(thm)],[2083])).
% 1.17/1.04 tff(2085,plain,
% 1.17/1.04 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a734) | (~c2_1(a734)) | (~c1_1(a734)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c1_1(a759) | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | (~c3_1(a759)) | c0_1(a759))),
% 1.17/1.04 inference(transitivity,[status(thm)],[2084, 2082])).
% 1.17/1.04 tff(2086,plain,
% 1.17/1.04 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a734) | (~c2_1(a734)) | (~c1_1(a734)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(2087,plain,
% 1.17/1.04 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c1_1(a759) | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | (~c3_1(a759)) | c0_1(a759)),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[2086, 2085])).
% 1.17/1.04 tff(2088,plain,
% 1.17/1.04 ($false),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2087, 116, 423, 2078, 1144, 2080, 22, 1907, 1189, 2081])).
% 1.17/1.04 tff(2089,plain,(hskp5 | c0_1(a734) | c3_1(a734) | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.17/1.04 tff(2090,plain,
% 1.17/1.04 (hskp5),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2089, 22, 33, 1126, 1125])).
% 1.17/1.04 tff(2091,plain,
% 1.17/1.04 (~c0_1(a735)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[460, 2090])).
% 1.17/1.04 tff(2092,plain,
% 1.17/1.04 (c3_1(a735)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[443, 2090])).
% 1.17/1.04 tff(2093,plain,
% 1.17/1.04 (c2_1(a735)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[454, 2090])).
% 1.17/1.04 tff(2094,plain,
% 1.17/1.04 (~c2_1(a730)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[554, 2093, 2092, 1556, 2091, 1161, 1160])).
% 1.17/1.04 tff(2095,plain,
% 1.17/1.04 (c2_1(a734)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1618, 2091, 22, 33, 2044, 1126, 1125])).
% 1.17/1.04 tff(2096,plain,
% 1.17/1.04 ($false),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1231, 1595, 116, 22, 33, 1222, 1223, 1221, 670, 1632])).
% 1.17/1.04 tff(2097,plain,((~hskp2) | hskp8 | c0_1(a734) | c3_1(a734) | (~c2_1(a734))), inference(lemma,lemma(discharge,[]))).
% 1.17/1.04 tff(2098,plain,
% 1.17/1.04 (~hskp2),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2097, 2044, 22, 33, 2095])).
% 1.17/1.04 tff(2099,plain,
% 1.17/1.04 (~c1_1(a735)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[583, 2098, 2092, 1160, 2091, 1161, 2094])).
% 1.17/1.04 tff(2100,plain,
% 1.17/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c0_1(a735) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c3_1(a735)) | (~c2_1(a735)) | c1_1(a735))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a735) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c3_1(a735)) | (~c2_1(a735)) | c1_1(a735))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2101,plain,
% 1.17/1.04 (((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735))) <=> (c0_1(a735) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c3_1(a735)) | (~c2_1(a735)) | c1_1(a735))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2102,plain,
% 1.17/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c0_1(a735) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c3_1(a735)) | (~c2_1(a735)) | c1_1(a735)))),
% 1.17/1.04 inference(monotonicity,[status(thm)],[2101])).
% 1.17/1.04 tff(2103,plain,
% 1.17/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a735) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c3_1(a735)) | (~c2_1(a735)) | c1_1(a735))),
% 1.17/1.04 inference(transitivity,[status(thm)],[2102, 2100])).
% 1.17/1.04 tff(2104,plain,
% 1.17/1.04 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a735) | (~c3_1(a735)) | (~c2_1(a735)))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(2105,plain,
% 1.17/1.04 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a735) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c3_1(a735)) | (~c2_1(a735)) | c1_1(a735)),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[2104, 2103])).
% 1.17/1.04 tff(2106,plain,
% 1.17/1.04 ($false),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2105, 116, 2093, 2092, 1160, 1556, 2091, 494, 2094, 2099])).
% 1.17/1.04 tff(2107,plain,(c0_1(a734) | c3_1(a734) | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.17/1.04 tff(2108,plain,
% 1.17/1.04 (c0_1(a734)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2107, 33, 1126, 1125])).
% 1.17/1.04 tff(2109,plain,
% 1.17/1.04 (((~hskp4) | (~c0_1(a734))) <=> ((~hskp4) | (~c0_1(a734)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2110,plain,
% 1.17/1.04 (((~c0_1(a734)) | (~hskp4)) <=> ((~hskp4) | (~c0_1(a734)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2111,axiom,((~c0_1(a734)) | (~hskp4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause114')).
% 1.17/1.04 tff(2112,plain,
% 1.17/1.04 ((~hskp4) | (~c0_1(a734))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[2111, 2110])).
% 1.17/1.04 tff(2113,plain,
% 1.17/1.04 ((~hskp4) | (~c0_1(a734))),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[2112, 2109])).
% 1.17/1.04 tff(2114,plain,
% 1.17/1.04 (~hskp4),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2113, 2108])).
% 1.17/1.04 tff(2115,plain,
% 1.17/1.04 (hskp1),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[156, 2114, 1125])).
% 1.17/1.04 tff(2116,plain,
% 1.17/1.04 (~c2_1(a731)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[61, 2115])).
% 1.17/1.04 tff(2117,plain,
% 1.17/1.04 (c3_1(a731)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[72, 2115])).
% 1.17/1.04 tff(2118,plain,
% 1.17/1.04 (c0_1(a731)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[1135, 116, 1126, 1125, 2117, 2116, 1124])).
% 1.17/1.04 tff(2119,plain,
% 1.17/1.04 (c1_1(a731)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[83, 2115])).
% 1.17/1.04 tff(2120,assumption,(hskp19), introduced(assumption)).
% 1.17/1.04 tff(2121,plain,
% 1.17/1.04 (~c3_1(a777)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[696, 2120])).
% 1.17/1.04 tff(2122,plain,
% 1.17/1.04 (~c0_1(a777)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[702, 2120])).
% 1.17/1.04 tff(2123,plain,
% 1.17/1.04 (((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | c0_1(a777) | c3_1(a777) | (~ndr1_0) | c1_1(a777))) <=> ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | hskp5 | hskp4 | c0_1(a777) | c3_1(a777) | (~ndr1_0) | c1_1(a777))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2124,plain,
% 1.17/1.04 ((hskp5 | hskp4 | (~ndr1_0) | c1_1(a777) | c0_1(a777) | c3_1(a777)) <=> (hskp5 | hskp4 | c0_1(a777) | c3_1(a777) | (~ndr1_0) | c1_1(a777))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2125,plain,
% 1.17/1.04 (((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | (~ndr1_0) | c1_1(a777) | c0_1(a777) | c3_1(a777))) <=> ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | c0_1(a777) | c3_1(a777) | (~ndr1_0) | c1_1(a777)))),
% 1.17/1.04 inference(monotonicity,[status(thm)],[2124])).
% 1.17/1.04 tff(2126,plain,
% 1.17/1.04 (((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | (~ndr1_0) | c1_1(a777) | c0_1(a777) | c3_1(a777))) <=> ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | hskp5 | hskp4 | c0_1(a777) | c3_1(a777) | (~ndr1_0) | c1_1(a777))),
% 1.17/1.04 inference(transitivity,[status(thm)],[2125, 2123])).
% 1.17/1.04 tff(2127,plain,
% 1.17/1.04 ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | (~ndr1_0) | c1_1(a777) | c0_1(a777) | c3_1(a777))),
% 1.17/1.04 inference(quant_inst,[status(thm)],[])).
% 1.17/1.04 tff(2128,plain,
% 1.17/1.04 ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | hskp5 | hskp4 | c0_1(a777) | c3_1(a777) | (~ndr1_0) | c1_1(a777)),
% 1.17/1.04 inference(modus_ponens,[status(thm)],[2127, 2126])).
% 1.17/1.04 tff(2129,plain,
% 1.17/1.04 (c1_1(a777)),
% 1.17/1.04 inference(unit_resolution,[status(thm)],[2128, 116, 423, 187, 2122, 2121, 422])).
% 1.17/1.04 tff(2130,assumption,(c0_1(a731)), introduced(assumption)).
% 1.17/1.04 tff(2131,assumption,(c1_1(a731)), introduced(assumption)).
% 1.17/1.04 tff(2132,plain,
% 1.17/1.04 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | c0_1(a777) | c3_1(a777) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)) | (~c1_1(a777)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp13 | c0_1(a777) | c3_1(a777) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)) | (~c1_1(a777)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2133,plain,
% 1.17/1.04 ((hskp13 | (~ndr1_0) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c3_1(a777) | c0_1(a777) | (~c1_1(a777))) <=> (hskp13 | c0_1(a777) | c3_1(a777) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)) | (~c1_1(a777)))),
% 1.17/1.04 inference(rewrite,[status(thm)],[])).
% 1.17/1.04 tff(2134,plain,
% 1.17/1.04 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | (~ndr1_0) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c3_1(a777) | c0_1(a777) | (~c1_1(a777)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | c0_1(a777) | c3_1(a777) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)) | (~c1_1(a777))))),
% 1.17/1.04 inference(monotonicity,[status(thm)],[2133])).
% 1.17/1.04 tff(2135,plain,
% 1.17/1.04 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | (~ndr1_0) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c3_1(a777) | c0_1(a777) | (~c1_1(a777)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp13 | c0_1(a777) | c3_1(a777) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)) | (~c1_1(a777)))),
% 1.17/1.04 inference(transitivity,[status(thm)],[2134, 2132])).
% 1.17/1.04 tff(2136,plain,
% 1.17/1.04 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | (~ndr1_0) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c3_1(a777) | c0_1(a777) | (~c1_1(a777)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(2137,plain,
% 1.17/1.05 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp13 | c0_1(a777) | c3_1(a777) | c2_1(a731) | (~ndr1_0) | (~c1_1(a731)) | (~c0_1(a731)) | (~c1_1(a777))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[2136, 2135])).
% 1.17/1.05 tff(2138,plain,
% 1.17/1.05 (hskp13),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2137, 116, 2131, 2122, 2121, 1129, 32, 2130, 2129])).
% 1.17/1.05 tff(2139,plain,
% 1.17/1.05 (c3_1(a759)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[969, 2138])).
% 1.17/1.05 tff(2140,plain,
% 1.17/1.05 (c2_1(a759)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[980, 2138])).
% 1.17/1.05 tff(2141,plain,
% 1.17/1.05 (~c1_1(a759)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[957, 2138])).
% 1.17/1.05 tff(2142,plain,
% 1.17/1.05 (~c0_1(a759)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1862, 2141, 423, 2140, 2139])).
% 1.17/1.05 tff(2143,plain,
% 1.17/1.05 (c2_1(a777)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[713, 2120])).
% 1.17/1.05 tff(2144,plain,
% 1.17/1.05 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c0_1(a777) | c1_1(a759) | (~ndr1_0) | (~c3_1(a759)) | c0_1(a759) | (~c2_1(a777)) | (~c1_1(a777)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c0_1(a777) | c1_1(a759) | (~ndr1_0) | (~c3_1(a759)) | c0_1(a759) | (~c2_1(a777)) | (~c1_1(a777)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2145,plain,
% 1.17/1.05 ((hskp5 | (~ndr1_0) | c0_1(a777) | (~c2_1(a777)) | (~c1_1(a777)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759))) <=> (hskp5 | c0_1(a777) | c1_1(a759) | (~ndr1_0) | (~c3_1(a759)) | c0_1(a759) | (~c2_1(a777)) | (~c1_1(a777)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2146,plain,
% 1.17/1.05 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a777) | (~c2_1(a777)) | (~c1_1(a777)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c0_1(a777) | c1_1(a759) | (~ndr1_0) | (~c3_1(a759)) | c0_1(a759) | (~c2_1(a777)) | (~c1_1(a777))))),
% 1.17/1.05 inference(monotonicity,[status(thm)],[2145])).
% 1.17/1.05 tff(2147,plain,
% 1.17/1.05 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a777) | (~c2_1(a777)) | (~c1_1(a777)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c0_1(a777) | c1_1(a759) | (~ndr1_0) | (~c3_1(a759)) | c0_1(a759) | (~c2_1(a777)) | (~c1_1(a777)))),
% 1.17/1.05 inference(transitivity,[status(thm)],[2146, 2144])).
% 1.17/1.05 tff(2148,plain,
% 1.17/1.05 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a777) | (~c2_1(a777)) | (~c1_1(a777)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(2149,plain,
% 1.17/1.05 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c0_1(a777) | c1_1(a759) | (~ndr1_0) | (~c3_1(a759)) | c0_1(a759) | (~c2_1(a777)) | (~c1_1(a777))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[2148, 2147])).
% 1.17/1.05 tff(2150,plain,
% 1.17/1.05 ($false),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2149, 116, 423, 2143, 2139, 2122, 2141, 1907, 2142, 2129])).
% 1.17/1.05 tff(2151,plain,((~hskp19) | hskp5 | (~c1_1(a731)) | c2_1(a731) | (~c0_1(a731)) | hskp4), inference(lemma,lemma(discharge,[]))).
% 1.17/1.05 tff(2152,plain,
% 1.17/1.05 (~hskp19),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2151, 423, 2119, 2116, 2118, 2114])).
% 1.17/1.05 tff(2153,assumption,(hskp8), introduced(assumption)).
% 1.17/1.05 tff(2154,plain,
% 1.17/1.05 (~c0_1(a744)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[726, 2153])).
% 1.17/1.05 tff(2155,plain,
% 1.17/1.05 (~c1_1(a744)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[750, 2153])).
% 1.17/1.05 tff(2156,plain,
% 1.17/1.05 ($false),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1218, 2155, 2154, 56, 1126, 1125])).
% 1.17/1.05 tff(2157,plain,((~hskp8) | (~hskp1) | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.17/1.05 tff(2158,plain,
% 1.17/1.05 (~hskp8),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2157, 2115, 1126, 1125])).
% 1.17/1.05 tff(2159,plain,
% 1.17/1.05 (hskp0),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1278, 2158])).
% 1.17/1.05 tff(2160,plain,
% 1.17/1.05 (~c1_1(a730)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[411, 2159])).
% 1.17/1.05 tff(2161,plain,
% 1.17/1.05 (c3_1(a730)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[471, 2159])).
% 1.17/1.05 tff(2162,plain,
% 1.17/1.05 (c0_1(a730)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[482, 2159])).
% 1.17/1.05 tff(2163,plain,
% 1.17/1.05 (hskp27 | hskp19),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[689, 116, 2162, 2161, 2160, 683])).
% 1.17/1.05 tff(2164,plain,
% 1.17/1.05 (hskp27),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2163, 2152])).
% 1.17/1.05 tff(2165,assumption,(hskp27), introduced(assumption)).
% 1.17/1.05 tff(2166,plain,
% 1.17/1.05 (c2_1(a750)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[787, 2165])).
% 1.17/1.05 tff(2167,plain,
% 1.17/1.05 (c1_1(a750)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[798, 2165])).
% 1.17/1.05 tff(2168,plain,
% 1.17/1.05 (c0_1(a750)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[776, 2165])).
% 1.17/1.05 tff(2169,assumption,(c0_1(a734)), introduced(assumption)).
% 1.17/1.05 tff(2170,assumption,(hskp20), introduced(assumption)).
% 1.17/1.05 tff(2171,plain,
% 1.17/1.05 (~c3_1(a779)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1836, 2170])).
% 1.17/1.05 tff(2172,plain,
% 1.17/1.05 (~c1_1(a779)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1842, 2170])).
% 1.17/1.05 tff(2173,plain,
% 1.17/1.05 (c2_1(a779)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1853, 2170])).
% 1.17/1.05 tff(2174,plain,
% 1.17/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | (c1_1(a779) | c3_1(a779) | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a779)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | c1_1(a779) | c3_1(a779) | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a779)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2175,plain,
% 1.17/1.05 (((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c2_1(a734) | (~c0_1(a734)) | c1_1(a779) | c3_1(a779) | (~c2_1(a779))) <=> (c1_1(a779) | c3_1(a779) | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a779)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2176,plain,
% 1.17/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c2_1(a734) | (~c0_1(a734)) | c1_1(a779) | c3_1(a779) | (~c2_1(a779)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | (c1_1(a779) | c3_1(a779) | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a779))))),
% 1.17/1.05 inference(monotonicity,[status(thm)],[2175])).
% 1.17/1.05 tff(2177,plain,
% 1.17/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c2_1(a734) | (~c0_1(a734)) | c1_1(a779) | c3_1(a779) | (~c2_1(a779)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | c1_1(a779) | c3_1(a779) | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a779)))),
% 1.17/1.05 inference(transitivity,[status(thm)],[2176, 2174])).
% 1.17/1.05 tff(2178,plain,
% 1.17/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c2_1(a734) | (~c0_1(a734)) | c1_1(a779) | c3_1(a779) | (~c2_1(a779)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(2179,plain,
% 1.17/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | c1_1(a779) | c3_1(a779) | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a779))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[2178, 2177])).
% 1.17/1.05 tff(2180,plain,
% 1.17/1.05 ($false),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2179, 116, 810, 880, 879, 2173, 2172, 2171, 2169, 33, 909, 1577])).
% 1.17/1.05 tff(2181,plain,((~hskp20) | (~c0_1(a750)) | (~c1_1(a750)) | (~c2_1(a750)) | (~c0_1(a734)) | c3_1(a734) | c2_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.17/1.05 tff(2182,plain,
% 1.17/1.05 (~hskp20),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2181, 2168, 2167, 2166, 2108, 33, 1577])).
% 1.17/1.05 tff(2183,plain,
% 1.17/1.05 (((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp20 | hskp5 | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)))) <=> ((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp20 | hskp5 | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2184,plain,
% 1.17/1.05 ((hskp20 | hskp5 | (~ndr1_0) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730))) <=> (hskp20 | hskp5 | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2185,plain,
% 1.17/1.05 (((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp20 | hskp5 | (~ndr1_0) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)))) <=> ((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp20 | hskp5 | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730))))),
% 1.17/1.05 inference(monotonicity,[status(thm)],[2184])).
% 1.17/1.05 tff(2186,plain,
% 1.17/1.05 (((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp20 | hskp5 | (~ndr1_0) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)))) <=> ((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp20 | hskp5 | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)))),
% 1.17/1.05 inference(transitivity,[status(thm)],[2185, 2183])).
% 1.17/1.05 tff(2187,plain,
% 1.17/1.05 ((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp20 | hskp5 | (~ndr1_0) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(2188,plain,
% 1.17/1.05 ((~![U: $i] : (hskp20 | hskp5 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp20 | hskp5 | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[2187, 2186])).
% 1.17/1.05 tff(2189,plain,
% 1.17/1.05 (hskp20 | hskp5 | (~c2_1(a730))),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2188, 116, 2161, 2160, 1821])).
% 1.17/1.05 tff(2190,plain,
% 1.17/1.05 (~c2_1(a730)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2189, 2182, 423])).
% 1.17/1.05 tff(2191,plain,
% 1.17/1.05 (hskp11 | c2_1(a730)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2006, 116, 2119, 2117, 2161, 2116, 2160, 387])).
% 1.17/1.05 tff(2192,plain,
% 1.17/1.05 (hskp11),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2191, 2190])).
% 1.17/1.05 tff(2193,plain,
% 1.17/1.05 (~c0_1(a749)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1639, 2192])).
% 1.17/1.05 tff(2194,plain,
% 1.17/1.05 (c2_1(a749)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1659, 2193, 423, 1126, 1125])).
% 1.17/1.05 tff(2195,plain,
% 1.17/1.05 (~c3_1(a749)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1968, 2192])).
% 1.17/1.05 tff(2196,plain,
% 1.17/1.05 (~c1_1(a749)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1665, 2192])).
% 1.17/1.05 tff(2197,plain,
% 1.17/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | (c1_1(a749) | c3_1(a749) | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a749)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | c1_1(a749) | c3_1(a749) | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a749)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2198,plain,
% 1.17/1.05 (((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c2_1(a734) | (~c0_1(a734)) | c1_1(a749) | c3_1(a749) | (~c2_1(a749))) <=> (c1_1(a749) | c3_1(a749) | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a749)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2199,plain,
% 1.17/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c2_1(a734) | (~c0_1(a734)) | c1_1(a749) | c3_1(a749) | (~c2_1(a749)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | (c1_1(a749) | c3_1(a749) | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a749))))),
% 1.17/1.05 inference(monotonicity,[status(thm)],[2198])).
% 1.17/1.05 tff(2200,plain,
% 1.17/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c2_1(a734) | (~c0_1(a734)) | c1_1(a749) | c3_1(a749) | (~c2_1(a749)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | c1_1(a749) | c3_1(a749) | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a749)))),
% 1.17/1.05 inference(transitivity,[status(thm)],[2199, 2197])).
% 1.17/1.05 tff(2201,plain,
% 1.17/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c2_1(a734) | (~c0_1(a734)) | c1_1(a749) | c3_1(a749) | (~c2_1(a749)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(2202,plain,
% 1.17/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | c1_1(a749) | c3_1(a749) | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | c2_1(a734) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a749))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[2201, 2200])).
% 1.17/1.05 tff(2203,plain,
% 1.17/1.05 ($false),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2202, 116, 2168, 2167, 2166, 2196, 2195, 2108, 33, 909, 1577, 2194])).
% 1.17/1.05 tff(2204,plain,((~hskp27) | c3_1(a734) | c2_1(a734) | hskp5 | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.17/1.05 tff(2205,plain,
% 1.17/1.05 (c2_1(a734)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2204, 2164, 33, 423, 1126, 1125])).
% 1.17/1.05 tff(2206,plain,
% 1.17/1.05 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | c1_1(a734) | c3_1(a734) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a734) | c3_1(a734) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2207,plain,
% 1.17/1.05 ((hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a734) | c1_1(a734) | (~c2_1(a734))) <=> (hskp5 | c1_1(a734) | c3_1(a734) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2208,plain,
% 1.17/1.05 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a734) | c1_1(a734) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | c1_1(a734) | c3_1(a734) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a734))))),
% 1.17/1.05 inference(monotonicity,[status(thm)],[2207])).
% 1.17/1.05 tff(2209,plain,
% 1.17/1.05 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a734) | c1_1(a734) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a734) | c3_1(a734) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)))),
% 1.17/1.05 inference(transitivity,[status(thm)],[2208, 2206])).
% 1.17/1.05 tff(2210,plain,
% 1.17/1.05 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a734) | c1_1(a734) | (~c2_1(a734)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(2211,plain,
% 1.17/1.05 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a734) | c3_1(a734) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a734))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[2210, 2209])).
% 1.17/1.05 tff(2212,plain,
% 1.17/1.05 (hskp5 | c1_1(a734) | (~c2_1(a734))),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2211, 116, 2162, 2161, 33, 2160, 1555])).
% 1.17/1.05 tff(2213,plain,
% 1.17/1.05 (c1_1(a734)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2212, 2205, 423])).
% 1.17/1.05 tff(2214,plain,
% 1.17/1.05 (c2_1(a750)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[787, 2164])).
% 1.17/1.05 tff(2215,plain,
% 1.17/1.05 (c1_1(a750)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[798, 2164])).
% 1.17/1.05 tff(2216,plain,
% 1.17/1.05 (c0_1(a750)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[776, 2164])).
% 1.17/1.05 tff(2217,plain,
% 1.17/1.05 (((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp18 | hskp11 | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734)))) <=> ((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp18 | hskp11 | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2218,plain,
% 1.17/1.05 ((hskp18 | hskp11 | (~ndr1_0) | c3_1(a734) | (~c1_1(a734)) | (~c0_1(a734))) <=> (hskp18 | hskp11 | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2219,plain,
% 1.17/1.05 (((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp18 | hskp11 | (~ndr1_0) | c3_1(a734) | (~c1_1(a734)) | (~c0_1(a734)))) <=> ((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp18 | hskp11 | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734))))),
% 1.17/1.05 inference(monotonicity,[status(thm)],[2218])).
% 1.17/1.05 tff(2220,plain,
% 1.17/1.05 (((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp18 | hskp11 | (~ndr1_0) | c3_1(a734) | (~c1_1(a734)) | (~c0_1(a734)))) <=> ((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp18 | hskp11 | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734)))),
% 1.17/1.05 inference(transitivity,[status(thm)],[2219, 2217])).
% 1.17/1.05 tff(2221,plain,
% 1.17/1.05 ((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp18 | hskp11 | (~ndr1_0) | c3_1(a734) | (~c1_1(a734)) | (~c0_1(a734)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(2222,plain,
% 1.17/1.05 ((~![U: $i] : (hskp18 | hskp11 | (~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp18 | hskp11 | (~c0_1(a734)) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[2221, 2220])).
% 1.17/1.05 tff(2223,plain,
% 1.17/1.05 (hskp18 | hskp11 | (~c0_1(a734)) | (~c1_1(a734))),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2222, 116, 33, 1171])).
% 1.17/1.05 tff(2224,plain,
% 1.17/1.05 (hskp18),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2223, 21, 2169, 1102])).
% 1.17/1.05 tff(2225,plain,
% 1.17/1.05 (~c3_1(a775)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1729, 2224])).
% 1.17/1.05 tff(2226,plain,
% 1.17/1.05 (~c2_1(a775)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1735, 2224])).
% 1.17/1.05 tff(2227,plain,
% 1.17/1.05 (((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | c2_1(a775) | c3_1(a775) | (~ndr1_0) | c0_1(a775))) <=> ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | hskp9 | hskp5 | c2_1(a775) | c3_1(a775) | (~ndr1_0) | c0_1(a775))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2228,plain,
% 1.17/1.05 ((hskp9 | hskp5 | (~ndr1_0) | c2_1(a775) | c0_1(a775) | c3_1(a775)) <=> (hskp9 | hskp5 | c2_1(a775) | c3_1(a775) | (~ndr1_0) | c0_1(a775))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2229,plain,
% 1.17/1.05 (((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | (~ndr1_0) | c2_1(a775) | c0_1(a775) | c3_1(a775))) <=> ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | c2_1(a775) | c3_1(a775) | (~ndr1_0) | c0_1(a775)))),
% 1.17/1.05 inference(monotonicity,[status(thm)],[2228])).
% 1.17/1.05 tff(2230,plain,
% 1.17/1.05 (((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | (~ndr1_0) | c2_1(a775) | c0_1(a775) | c3_1(a775))) <=> ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | hskp9 | hskp5 | c2_1(a775) | c3_1(a775) | (~ndr1_0) | c0_1(a775))),
% 1.17/1.05 inference(transitivity,[status(thm)],[2229, 2227])).
% 1.17/1.05 tff(2231,plain,
% 1.17/1.05 ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | (~ndr1_0) | c2_1(a775) | c0_1(a775) | c3_1(a775))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(2232,plain,
% 1.17/1.05 ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | hskp9 | hskp5 | c2_1(a775) | c3_1(a775) | (~ndr1_0) | c0_1(a775)),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[2231, 2230])).
% 1.17/1.05 tff(2233,plain,
% 1.17/1.05 (c0_1(a775)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2232, 116, 1754, 423, 2226, 2225, 1181])).
% 1.17/1.05 tff(2234,assumption,(c3_1(a731)), introduced(assumption)).
% 1.17/1.05 tff(2235,plain,
% 1.17/1.05 (hskp11 | c2_1(a730)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2006, 116, 2131, 2234, 507, 1129, 495, 387])).
% 1.17/1.05 tff(2236,plain,
% 1.17/1.05 (c2_1(a730)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2235, 21])).
% 1.17/1.05 tff(2237,plain,
% 1.17/1.05 (hskp20 | hskp5 | (~c2_1(a730))),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2188, 116, 507, 495, 1821])).
% 1.17/1.05 tff(2238,plain,
% 1.17/1.05 (hskp20),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2237, 2236, 423])).
% 1.17/1.05 tff(2239,plain,
% 1.17/1.05 (~c3_1(a779)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1836, 2238])).
% 1.17/1.05 tff(2240,plain,
% 1.17/1.05 (~c1_1(a779)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1842, 2238])).
% 1.17/1.05 tff(2241,plain,
% 1.17/1.05 (c2_1(a779)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1853, 2238])).
% 1.17/1.05 tff(2242,plain,
% 1.17/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | (c1_1(a779) | c3_1(a779) | c2_1(a775) | c3_1(a775) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a775)) | (~c2_1(a779)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | c1_1(a779) | c3_1(a779) | c2_1(a775) | c3_1(a775) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a775)) | (~c2_1(a779)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2243,plain,
% 1.17/1.05 (((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a775) | c2_1(a775) | (~c0_1(a775)) | c1_1(a779) | c3_1(a779) | (~c2_1(a779))) <=> (c1_1(a779) | c3_1(a779) | c2_1(a775) | c3_1(a775) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a775)) | (~c2_1(a779)))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2244,plain,
% 1.17/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a775) | c2_1(a775) | (~c0_1(a775)) | c1_1(a779) | c3_1(a779) | (~c2_1(a779)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | (c1_1(a779) | c3_1(a779) | c2_1(a775) | c3_1(a775) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a775)) | (~c2_1(a779))))),
% 1.17/1.05 inference(monotonicity,[status(thm)],[2243])).
% 1.17/1.05 tff(2245,plain,
% 1.17/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a775) | c2_1(a775) | (~c0_1(a775)) | c1_1(a779) | c3_1(a779) | (~c2_1(a779)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | c1_1(a779) | c3_1(a779) | c2_1(a775) | c3_1(a775) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a775)) | (~c2_1(a779)))),
% 1.17/1.05 inference(transitivity,[status(thm)],[2244, 2242])).
% 1.17/1.05 tff(2246,plain,
% 1.17/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a775) | c2_1(a775) | (~c0_1(a775)) | c1_1(a779) | c3_1(a779) | (~c2_1(a779)))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(2247,plain,
% 1.17/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c2_1(V) | (~c0_1(V)) | c1_1(W) | c3_1(W) | (~c2_1(W)))) | c1_1(a779) | c3_1(a779) | c2_1(a775) | c3_1(a775) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a775)) | (~c2_1(a779))),
% 1.17/1.05 inference(modus_ponens,[status(thm)],[2246, 2245])).
% 1.17/1.05 tff(2248,plain,
% 1.17/1.05 ($false),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2247, 116, 810, 880, 879, 2241, 2240, 2239, 2226, 2225, 909, 2233])).
% 1.17/1.05 tff(2249,plain,(hskp11 | (~c0_1(a750)) | (~c1_1(a750)) | (~c2_1(a750)) | hskp9 | hskp5 | (~c3_1(a730)) | c1_1(a730) | (~c0_1(a734)) | (~c1_1(a734)) | c3_1(a734) | (~c1_1(a731)) | (~c3_1(a731)) | c2_1(a731)), inference(lemma,lemma(discharge,[]))).
% 1.17/1.05 tff(2250,plain,
% 1.17/1.05 (hskp11),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[2249, 2216, 2215, 2214, 1157, 423, 2161, 2160, 2108, 2213, 33, 2119, 2117, 2116])).
% 1.17/1.05 tff(2251,plain,
% 1.17/1.05 (~c3_1(a749)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1968, 2250])).
% 1.17/1.05 tff(2252,plain,
% 1.17/1.05 (~c1_1(a749)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1665, 2250])).
% 1.17/1.05 tff(2253,plain,
% 1.17/1.05 (~c0_1(a749)),
% 1.17/1.05 inference(unit_resolution,[status(thm)],[1639, 2250])).
% 1.17/1.05 tff(2254,plain,
% 1.17/1.05 (((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | c0_1(a749) | c1_1(a749) | c3_1(a749) | (~ndr1_0))) <=> ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | hskp5 | hskp4 | c0_1(a749) | c1_1(a749) | c3_1(a749) | (~ndr1_0))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2255,plain,
% 1.17/1.05 ((hskp5 | hskp4 | (~ndr1_0) | c1_1(a749) | c0_1(a749) | c3_1(a749)) <=> (hskp5 | hskp4 | c0_1(a749) | c1_1(a749) | c3_1(a749) | (~ndr1_0))),
% 1.17/1.05 inference(rewrite,[status(thm)],[])).
% 1.17/1.05 tff(2256,plain,
% 1.17/1.05 (((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | (~ndr1_0) | c1_1(a749) | c0_1(a749) | c3_1(a749))) <=> ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | c0_1(a749) | c1_1(a749) | c3_1(a749) | (~ndr1_0)))),
% 1.17/1.05 inference(monotonicity,[status(thm)],[2255])).
% 1.17/1.05 tff(2257,plain,
% 1.17/1.05 (((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | (~ndr1_0) | c1_1(a749) | c0_1(a749) | c3_1(a749))) <=> ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | hskp5 | hskp4 | c0_1(a749) | c1_1(a749) | c3_1(a749) | (~ndr1_0))),
% 1.17/1.05 inference(transitivity,[status(thm)],[2256, 2254])).
% 1.17/1.05 tff(2258,plain,
% 1.17/1.05 ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | (~ndr1_0) | c1_1(a749) | c0_1(a749) | c3_1(a749))),
% 1.17/1.05 inference(quant_inst,[status(thm)],[])).
% 1.17/1.05 tff(2259,plain,
% 1.17/1.05 ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | hskp5 | hskp4 | c0_1(a749) | c1_1(a749) | c3_1(a749) | (~ndr1_0)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2258, 2257])).
% 1.17/1.06 tff(2260,plain,
% 1.17/1.06 ($false),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2259, 116, 423, 2114, 2253, 2252, 2251, 422])).
% 1.17/1.06 tff(2261,plain,(hskp5 | c3_1(a734) | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.17/1.06 tff(2262,plain,
% 1.17/1.06 (hskp5),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2261, 33, 1126, 1125])).
% 1.17/1.06 tff(2263,plain,
% 1.17/1.06 (c2_1(a735)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[454, 2262])).
% 1.17/1.06 tff(2264,plain,
% 1.17/1.06 (~c0_1(a735)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[460, 2262])).
% 1.17/1.06 tff(2265,plain,
% 1.17/1.06 (c3_1(a735)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[443, 2262])).
% 1.17/1.06 tff(2266,plain,
% 1.17/1.06 (~c2_1(a730)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[554, 2265, 2162, 2161, 2264, 2160, 2263])).
% 1.17/1.06 tff(2267,plain,
% 1.17/1.06 (hskp11),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2191, 2266])).
% 1.17/1.06 tff(2268,plain,
% 1.17/1.06 (~c3_1(a749)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1968, 2267])).
% 1.17/1.06 tff(2269,plain,
% 1.17/1.06 (~c1_1(a749)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1665, 2267])).
% 1.17/1.06 tff(2270,plain,
% 1.17/1.06 (~c0_1(a749)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[1639, 2267])).
% 1.17/1.06 tff(2271,plain,
% 1.17/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | (c0_1(a749) | c1_1(a749) | c3_1(a749) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | c0_1(a749) | c1_1(a749) | c3_1(a749) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2272,plain,
% 1.17/1.06 (((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a749) | c0_1(a749) | c3_1(a749)) <=> (c0_1(a749) | c1_1(a749) | c3_1(a749) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2273,plain,
% 1.17/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | ((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a749) | c0_1(a749) | c3_1(a749))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | (c0_1(a749) | c1_1(a749) | c3_1(a749) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731))))),
% 1.17/1.06 inference(monotonicity,[status(thm)],[2272])).
% 1.17/1.06 tff(2274,plain,
% 1.17/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | ((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a749) | c0_1(a749) | c3_1(a749))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | c0_1(a749) | c1_1(a749) | c3_1(a749) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))),
% 1.17/1.06 inference(transitivity,[status(thm)],[2273, 2271])).
% 1.17/1.06 tff(2275,plain,
% 1.17/1.06 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | ((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a749) | c0_1(a749) | c3_1(a749))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(2276,plain,
% 1.17/1.06 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | c0_1(a749) | c1_1(a749) | c3_1(a749) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2275, 2274])).
% 1.17/1.06 tff(2277,plain,
% 1.17/1.06 ($false),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2276, 116, 2119, 2117, 2270, 2269, 2268, 2116, 10, 2118])).
% 1.17/1.06 tff(2278,plain,(c3_1(a734) | hskp12 | hskp7), inference(lemma,lemma(discharge,[]))).
% 1.17/1.06 tff(2279,plain,
% 1.17/1.06 (hskp12),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2278, 1114, 33])).
% 1.17/1.06 tff(2280,plain,
% 1.17/1.06 (((~hskp12) | (~c3_1(a755))) <=> ((~hskp12) | (~c3_1(a755)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2281,plain,
% 1.17/1.06 (((~c3_1(a755)) | (~hskp12)) <=> ((~hskp12) | (~c3_1(a755)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2282,axiom,((~c3_1(a755)) | (~hskp12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause99')).
% 1.17/1.06 tff(2283,plain,
% 1.17/1.06 ((~hskp12) | (~c3_1(a755))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2282, 2281])).
% 1.17/1.06 tff(2284,plain,
% 1.17/1.06 ((~hskp12) | (~c3_1(a755))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2283, 2280])).
% 1.17/1.06 tff(2285,plain,
% 1.17/1.06 (~c3_1(a755)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2284, 2279])).
% 1.17/1.06 tff(2286,plain,
% 1.17/1.06 (((~hskp12) | c2_1(a755)) <=> ((~hskp12) | c2_1(a755))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2287,axiom,((~hskp12) | c2_1(a755)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause67')).
% 1.17/1.06 tff(2288,plain,
% 1.17/1.06 ((~hskp12) | c2_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2287, 2286])).
% 1.17/1.06 tff(2289,plain,
% 1.17/1.06 ((~hskp12) | c2_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2288, 2286])).
% 1.17/1.06 tff(2290,plain,
% 1.17/1.06 ((~hskp12) | c2_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2289, 2286])).
% 1.17/1.06 tff(2291,plain,
% 1.17/1.06 ((~hskp12) | c2_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2290, 2286])).
% 1.17/1.06 tff(2292,plain,
% 1.17/1.06 ((~hskp12) | c2_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2291, 2286])).
% 1.17/1.06 tff(2293,plain,
% 1.17/1.06 ((~hskp12) | c2_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2292, 2286])).
% 1.17/1.06 tff(2294,plain,
% 1.17/1.06 ((~hskp12) | c2_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2293, 2286])).
% 1.17/1.06 tff(2295,plain,
% 1.17/1.06 ((~hskp12) | c2_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2294, 2286])).
% 1.17/1.06 tff(2296,plain,
% 1.17/1.06 (c2_1(a755)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2295, 2279])).
% 1.17/1.06 tff(2297,plain,
% 1.17/1.06 (((~hskp12) | c1_1(a755)) <=> ((~hskp12) | c1_1(a755))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2298,axiom,((~hskp12) | c1_1(a755)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause66')).
% 1.17/1.06 tff(2299,plain,
% 1.17/1.06 ((~hskp12) | c1_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2298, 2297])).
% 1.17/1.06 tff(2300,plain,
% 1.17/1.06 ((~hskp12) | c1_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2299, 2297])).
% 1.17/1.06 tff(2301,plain,
% 1.17/1.06 ((~hskp12) | c1_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2300, 2297])).
% 1.17/1.06 tff(2302,plain,
% 1.17/1.06 ((~hskp12) | c1_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2301, 2297])).
% 1.17/1.06 tff(2303,plain,
% 1.17/1.06 ((~hskp12) | c1_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2302, 2297])).
% 1.17/1.06 tff(2304,plain,
% 1.17/1.06 ((~hskp12) | c1_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2303, 2297])).
% 1.17/1.06 tff(2305,plain,
% 1.17/1.06 ((~hskp12) | c1_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2304, 2297])).
% 1.17/1.06 tff(2306,plain,
% 1.17/1.06 ((~hskp12) | c1_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2305, 2297])).
% 1.17/1.06 tff(2307,plain,
% 1.17/1.06 (c1_1(a755)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2306, 2279])).
% 1.17/1.06 tff(2308,plain,
% 1.17/1.06 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | c3_1(a755) | (~ndr1_0) | (~c1_1(a755)) | (~c2_1(a755)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp27 | hskp11 | c3_1(a755) | (~ndr1_0) | (~c1_1(a755)) | (~c2_1(a755)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2309,plain,
% 1.17/1.06 ((hskp27 | hskp11 | (~ndr1_0) | c3_1(a755) | (~c2_1(a755)) | (~c1_1(a755))) <=> (hskp27 | hskp11 | c3_1(a755) | (~ndr1_0) | (~c1_1(a755)) | (~c2_1(a755)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2310,plain,
% 1.17/1.06 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c3_1(a755) | (~c2_1(a755)) | (~c1_1(a755)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | c3_1(a755) | (~ndr1_0) | (~c1_1(a755)) | (~c2_1(a755))))),
% 1.17/1.06 inference(monotonicity,[status(thm)],[2309])).
% 1.17/1.06 tff(2311,plain,
% 1.17/1.06 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c3_1(a755) | (~c2_1(a755)) | (~c1_1(a755)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp27 | hskp11 | c3_1(a755) | (~ndr1_0) | (~c1_1(a755)) | (~c2_1(a755)))),
% 1.17/1.06 inference(transitivity,[status(thm)],[2310, 2308])).
% 1.17/1.06 tff(2312,plain,
% 1.17/1.06 ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c3_1(a755) | (~c2_1(a755)) | (~c1_1(a755)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(2313,plain,
% 1.17/1.06 ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp27 | hskp11 | c3_1(a755) | (~ndr1_0) | (~c1_1(a755)) | (~c2_1(a755))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2312, 2311])).
% 1.17/1.06 tff(2314,plain,
% 1.17/1.06 (hskp27),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2313, 116, 21, 2307, 2296, 2285, 604])).
% 1.17/1.06 tff(2315,plain,
% 1.17/1.06 (c0_1(a750)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[776, 2314])).
% 1.17/1.06 tff(2316,plain,
% 1.17/1.06 (c2_1(a750)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[787, 2314])).
% 1.17/1.06 tff(2317,plain,
% 1.17/1.06 (c1_1(a750)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[798, 2314])).
% 1.17/1.06 tff(2318,assumption,(~c3_1(a741)), introduced(assumption)).
% 1.17/1.06 tff(2319,plain,
% 1.17/1.06 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | c1_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a741))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c1_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a741))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2320,plain,
% 1.17/1.06 ((hskp0 | hskp1 | (~ndr1_0) | c2_1(a741) | c1_1(a741) | c0_1(a741)) <=> (hskp0 | hskp1 | c1_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a741))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2321,plain,
% 1.17/1.06 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a741) | c1_1(a741) | c0_1(a741))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | c1_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a741)))),
% 1.17/1.06 inference(monotonicity,[status(thm)],[2320])).
% 1.17/1.06 tff(2322,plain,
% 1.17/1.06 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a741) | c1_1(a741) | c0_1(a741))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c1_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a741))),
% 1.17/1.06 inference(transitivity,[status(thm)],[2321, 2319])).
% 1.17/1.06 tff(2323,plain,
% 1.17/1.06 ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a741) | c1_1(a741) | c0_1(a741))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(2324,plain,
% 1.17/1.06 ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c1_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a741)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2323, 2322])).
% 1.17/1.06 tff(2325,plain,
% 1.17/1.06 (hskp0 | hskp1 | c1_1(a741) | c2_1(a741)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2324, 116, 198, 260])).
% 1.17/1.06 tff(2326,plain,
% 1.17/1.06 (c2_1(a741)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2325, 241, 1113, 279])).
% 1.17/1.06 tff(2327,plain,
% 1.17/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c3_1(a741) | c0_1(a746) | c2_1(a746) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a746))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c3_1(a741) | c0_1(a746) | c2_1(a746) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a746))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2328,plain,
% 1.17/1.06 (((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741)) | c2_1(a746) | c1_1(a746) | c0_1(a746)) <=> (c3_1(a741) | c0_1(a746) | c2_1(a746) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a746))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2329,plain,
% 1.17/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741)) | c2_1(a746) | c1_1(a746) | c0_1(a746))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c3_1(a741) | c0_1(a746) | c2_1(a746) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a746)))),
% 1.17/1.06 inference(monotonicity,[status(thm)],[2328])).
% 1.17/1.06 tff(2330,plain,
% 1.17/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741)) | c2_1(a746) | c1_1(a746) | c0_1(a746))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c3_1(a741) | c0_1(a746) | c2_1(a746) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a746))),
% 1.17/1.06 inference(transitivity,[status(thm)],[2329, 2327])).
% 1.17/1.06 tff(2331,plain,
% 1.17/1.06 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741)) | c2_1(a746) | c1_1(a746) | c0_1(a746))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(2332,plain,
% 1.17/1.06 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c3_1(a741) | c0_1(a746) | c2_1(a746) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a746)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2331, 2330])).
% 1.17/1.06 tff(2333,plain,
% 1.17/1.06 ($false),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2332, 116, 810, 880, 879, 2318, 1106, 1105, 198, 1048, 2326, 1108])).
% 1.17/1.06 tff(2334,plain,(hskp0 | (~c0_1(a750)) | (~c1_1(a750)) | (~c2_1(a750)) | c3_1(a741) | c0_1(a741) | c1_1(a741) | hskp1 | (~c1_1(a734)) | c3_1(a734) | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.17/1.06 tff(2335,plain,
% 1.17/1.06 (hskp0),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2334, 279, 880, 879, 2318, 198, 1113, 810, 1102, 33, 22])).
% 1.17/1.06 tff(2336,plain,
% 1.17/1.06 (~c1_1(a730)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[411, 2335])).
% 1.17/1.06 tff(2337,plain,
% 1.17/1.06 (c3_1(a730)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[471, 2335])).
% 1.17/1.06 tff(2338,plain,
% 1.17/1.06 (c0_1(a730)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[482, 2335])).
% 1.17/1.06 tff(2339,assumption,(~c3_1(a755)), introduced(assumption)).
% 1.17/1.06 tff(2340,assumption,(c1_1(a755)), introduced(assumption)).
% 1.17/1.06 tff(2341,plain,
% 1.17/1.06 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | c1_1(a741) | c0_1(a741) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a741))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c1_1(a741) | c0_1(a741) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a741))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2342,plain,
% 1.17/1.06 ((hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a741) | c0_1(a741) | c2_1(a741)) <=> (hskp25 | c1_1(a741) | c0_1(a741) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a741))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2343,plain,
% 1.17/1.06 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a741) | c0_1(a741) | c2_1(a741))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | c1_1(a741) | c0_1(a741) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a741)))),
% 1.17/1.06 inference(monotonicity,[status(thm)],[2342])).
% 1.17/1.06 tff(2344,plain,
% 1.17/1.06 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a741) | c0_1(a741) | c2_1(a741))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c1_1(a741) | c0_1(a741) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a741))),
% 1.17/1.06 inference(transitivity,[status(thm)],[2343, 2341])).
% 1.17/1.06 tff(2345,plain,
% 1.17/1.06 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a741) | c0_1(a741) | c2_1(a741))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(2346,plain,
% 1.17/1.06 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c1_1(a741) | c0_1(a741) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a741)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2345, 2344])).
% 1.17/1.06 tff(2347,plain,
% 1.17/1.06 (hskp25 | c2_1(a741)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2346, 116, 1113, 508, 507, 198, 495, 20])).
% 1.17/1.06 tff(2348,plain,
% 1.17/1.06 (hskp25),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2347, 186])).
% 1.17/1.06 tff(2349,plain,
% 1.17/1.06 (c3_1(a729)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[831, 2348])).
% 1.17/1.06 tff(2350,plain,
% 1.17/1.06 (c2_1(a729)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[842, 2348])).
% 1.17/1.06 tff(2351,plain,
% 1.17/1.06 (c0_1(a729)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[853, 2348])).
% 1.17/1.06 tff(2352,plain,
% 1.17/1.06 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | c3_1(a755) | (~ndr1_0) | (~c1_1(a755)) | (~c0_1(a755)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | c3_1(a755) | (~ndr1_0) | (~c1_1(a755)) | (~c0_1(a755)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2353,plain,
% 1.17/1.06 ((hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a755) | (~c1_1(a755)) | (~c0_1(a755))) <=> (hskp1 | c3_1(a755) | (~ndr1_0) | (~c1_1(a755)) | (~c0_1(a755)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2354,plain,
% 1.17/1.06 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a755) | (~c1_1(a755)) | (~c0_1(a755)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | c3_1(a755) | (~ndr1_0) | (~c1_1(a755)) | (~c0_1(a755)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729))))),
% 1.17/1.06 inference(monotonicity,[status(thm)],[2353])).
% 1.17/1.06 tff(2355,plain,
% 1.17/1.06 (((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a755) | (~c1_1(a755)) | (~c0_1(a755)))) <=> ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | c3_1(a755) | (~ndr1_0) | (~c1_1(a755)) | (~c0_1(a755)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))),
% 1.17/1.06 inference(transitivity,[status(thm)],[2354, 2352])).
% 1.17/1.06 tff(2356,plain,
% 1.17/1.06 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | (hskp1 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c3_1(a755) | (~c1_1(a755)) | (~c0_1(a755)))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(2357,plain,
% 1.17/1.06 ((~![V: $i, U: $i] : (hskp1 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)))) | hskp1 | c3_1(a755) | (~ndr1_0) | (~c1_1(a755)) | (~c0_1(a755)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729))),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2356, 2355])).
% 1.17/1.06 tff(2358,plain,
% 1.17/1.06 (~c0_1(a755)),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2357, 116, 279, 2351, 2350, 2349, 2340, 2339, 809])).
% 1.17/1.06 tff(2359,assumption,(c2_1(a755)), introduced(assumption)).
% 1.17/1.06 tff(2360,plain,
% 1.17/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a741) | c3_1(a755) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a755)) | c0_1(a755))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a741) | c3_1(a755) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a755)) | c0_1(a755))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2361,plain,
% 1.17/1.06 (((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a755) | c0_1(a755) | (~c2_1(a755)) | c2_1(a741) | c1_1(a741) | c0_1(a741)) <=> (c1_1(a741) | c3_1(a755) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a755)) | c0_1(a755))),
% 1.17/1.06 inference(rewrite,[status(thm)],[])).
% 1.17/1.06 tff(2362,plain,
% 1.17/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a755) | c0_1(a755) | (~c2_1(a755)) | c2_1(a741) | c1_1(a741) | c0_1(a741))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a741) | c3_1(a755) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a755)) | c0_1(a755)))),
% 1.17/1.06 inference(monotonicity,[status(thm)],[2361])).
% 1.17/1.06 tff(2363,plain,
% 1.17/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a755) | c0_1(a755) | (~c2_1(a755)) | c2_1(a741) | c1_1(a741) | c0_1(a741))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a741) | c3_1(a755) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a755)) | c0_1(a755))),
% 1.17/1.06 inference(transitivity,[status(thm)],[2362, 2360])).
% 1.17/1.06 tff(2364,plain,
% 1.17/1.06 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a755) | c0_1(a755) | (~c2_1(a755)) | c2_1(a741) | c1_1(a741) | c0_1(a741))),
% 1.17/1.06 inference(quant_inst,[status(thm)],[])).
% 1.17/1.06 tff(2365,plain,
% 1.17/1.06 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a741) | c3_1(a755) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a755)) | c0_1(a755)),
% 1.17/1.06 inference(modus_ponens,[status(thm)],[2364, 2363])).
% 1.17/1.06 tff(2366,plain,
% 1.17/1.06 ($false),
% 1.17/1.06 inference(unit_resolution,[status(thm)],[2365, 116, 810, 880, 879, 2359, 1113, 2339, 198, 1048, 186, 2358])).
% 1.17/1.06 tff(2367,plain,(c2_1(a741) | (~c0_1(a750)) | (~c1_1(a750)) | (~c2_1(a750)) | (~c2_1(a755)) | c1_1(a741) | c3_1(a755) | c0_1(a741) | hskp1 | (~c1_1(a755)) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a730)), inference(lemma,lemma(discharge,[]))).
% 1.17/1.07 tff(2368,plain,
% 1.17/1.07 (c2_1(a741)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2367, 279, 880, 879, 2296, 1113, 2285, 198, 810, 2307, 2338, 2337, 2336])).
% 1.17/1.07 tff(2369,plain,
% 1.17/1.07 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | c1_1(a741) | c3_1(a741) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a741) | c3_1(a741) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(2370,plain,
% 1.17/1.07 ((hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a741) | c1_1(a741) | (~c2_1(a741))) <=> (hskp5 | c1_1(a741) | c3_1(a741) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(2371,plain,
% 1.17/1.07 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a741) | c1_1(a741) | (~c2_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | c1_1(a741) | c3_1(a741) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741))))),
% 1.17/1.07 inference(monotonicity,[status(thm)],[2370])).
% 1.17/1.07 tff(2372,plain,
% 1.17/1.07 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a741) | c1_1(a741) | (~c2_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a741) | c3_1(a741) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)))),
% 1.17/1.07 inference(transitivity,[status(thm)],[2371, 2369])).
% 1.17/1.07 tff(2373,plain,
% 1.17/1.07 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a741) | c1_1(a741) | (~c2_1(a741)))),
% 1.17/1.07 inference(quant_inst,[status(thm)],[])).
% 1.17/1.07 tff(2374,plain,
% 1.17/1.07 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a741) | c3_1(a741) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741))),
% 1.17/1.07 inference(modus_ponens,[status(thm)],[2373, 2372])).
% 1.17/1.07 tff(2375,plain,
% 1.17/1.07 (hskp5 | (~c2_1(a741))),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2374, 116, 1113, 2318, 508, 507, 495, 1555])).
% 1.17/1.07 tff(2376,plain,
% 1.17/1.07 (~c2_1(a741)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2375, 423])).
% 1.17/1.07 tff(2377,plain,
% 1.17/1.07 (c2_1(a734)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[1273, 423, 33, 1102])).
% 1.17/1.07 tff(2378,plain,
% 1.17/1.07 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(2379,plain,
% 1.17/1.07 ((hskp16 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c0_1(a734) | (~c2_1(a734)) | (~c1_1(a734))) <=> (hskp16 | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(2380,plain,
% 1.17/1.07 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c0_1(a734) | (~c2_1(a734)) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729))))),
% 1.17/1.07 inference(monotonicity,[status(thm)],[2379])).
% 1.17/1.07 tff(2381,plain,
% 1.17/1.07 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c0_1(a734) | (~c2_1(a734)) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)))),
% 1.17/1.07 inference(transitivity,[status(thm)],[2380, 2378])).
% 1.17/1.07 tff(2382,plain,
% 1.17/1.07 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729)) | c0_1(a734) | (~c2_1(a734)) | (~c1_1(a734)))),
% 1.17/1.07 inference(quant_inst,[status(thm)],[])).
% 1.17/1.07 tff(2383,plain,
% 1.17/1.07 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | (~c2_1(a729)) | (~c3_1(a729)) | (~c0_1(a729))),
% 1.17/1.07 inference(modus_ponens,[status(thm)],[2382, 2381])).
% 1.17/1.07 tff(2384,plain,
% 1.17/1.07 (hskp16),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2383, 116, 854, 843, 832, 1102, 22, 820, 1632])).
% 1.17/1.07 tff(2385,plain,
% 1.17/1.07 (~c3_1(a764)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[866, 2384])).
% 1.17/1.07 tff(2386,plain,
% 1.17/1.07 (c0_1(a764)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[890, 2384])).
% 1.17/1.07 tff(2387,plain,
% 1.17/1.07 (~c1_1(a764)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[897, 116, 279, 854, 843, 832, 2386, 2385, 809])).
% 1.17/1.07 tff(2388,plain,
% 1.17/1.07 (c2_1(a764)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[877, 2384])).
% 1.17/1.07 tff(2389,plain,
% 1.17/1.07 ($false),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[1710, 116, 423, 2388, 508, 507, 2385, 495, 1555, 2387])).
% 1.17/1.07 tff(2390,plain,((~hskp25) | hskp5 | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a730) | hskp1 | (~c1_1(a734)) | c0_1(a734) | (~c2_1(a734))), inference(lemma,lemma(discharge,[]))).
% 1.17/1.07 tff(2391,plain,
% 1.17/1.07 (~hskp25),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2390, 2377, 508, 507, 495, 279, 1102, 22, 423])).
% 1.17/1.07 tff(2392,plain,
% 1.17/1.07 ($false),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2347, 2391, 2376])).
% 1.17/1.07 tff(2393,plain,(hskp5 | c1_1(a741) | (~c0_1(a730)) | (~c3_1(a730)) | c0_1(a741) | c1_1(a730) | hskp1 | (~c1_1(a734)) | c0_1(a734) | c3_1(a741) | c3_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.17/1.07 tff(2394,plain,
% 1.17/1.07 (hskp5),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2393, 2338, 1113, 2337, 198, 2336, 279, 1102, 22, 2318, 33])).
% 1.17/1.07 tff(2395,plain,
% 1.17/1.07 (c3_1(a735)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[443, 2394])).
% 1.17/1.07 tff(2396,plain,
% 1.17/1.07 (c2_1(a735)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[454, 2394])).
% 1.17/1.07 tff(2397,plain,
% 1.17/1.07 (~c0_1(a735)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[460, 2394])).
% 1.17/1.07 tff(2398,plain,
% 1.17/1.07 (~c2_1(a730)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[554, 2395, 2338, 2337, 2397, 2336, 2396])).
% 1.17/1.07 tff(2399,plain,
% 1.17/1.07 (hskp2),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[585, 2398, 2338, 2397, 2336, 2396, 279, 2395])).
% 1.17/1.07 tff(2400,plain,
% 1.17/1.07 (~c2_1(a732)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[306, 2399])).
% 1.17/1.07 tff(2401,plain,
% 1.17/1.07 (~c0_1(a732)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[312, 2399])).
% 1.17/1.07 tff(2402,plain,
% 1.17/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c3_1(a741) | c0_1(a741) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c2_1(a741)) | c1_1(a732) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c3_1(a741) | c0_1(a741) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c2_1(a741)) | c1_1(a732) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(2403,plain,
% 1.17/1.07 (((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741)) | c2_1(a732) | c1_1(a732) | c0_1(a732)) <=> (c3_1(a741) | c0_1(a741) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c2_1(a741)) | c1_1(a732) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(2404,plain,
% 1.17/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741)) | c2_1(a732) | c1_1(a732) | c0_1(a732))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c3_1(a741) | c0_1(a741) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c2_1(a741)) | c1_1(a732) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750))))),
% 1.17/1.07 inference(monotonicity,[status(thm)],[2403])).
% 1.17/1.07 tff(2405,plain,
% 1.17/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741)) | c2_1(a732) | c1_1(a732) | c0_1(a732))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c3_1(a741) | c0_1(a741) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c2_1(a741)) | c1_1(a732) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))),
% 1.17/1.07 inference(transitivity,[status(thm)],[2404, 2402])).
% 1.17/1.07 tff(2406,plain,
% 1.17/1.07 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741)) | c2_1(a732) | c1_1(a732) | c0_1(a732))),
% 1.17/1.07 inference(quant_inst,[status(thm)],[])).
% 1.17/1.07 tff(2407,plain,
% 1.17/1.07 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c3_1(a741) | c0_1(a741) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c2_1(a741)) | c1_1(a732) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750))),
% 1.17/1.07 inference(modus_ponens,[status(thm)],[2406, 2405])).
% 1.17/1.07 tff(2408,plain,
% 1.17/1.07 ((~c2_1(a741)) | c1_1(a732)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2407, 116, 810, 880, 879, 2318, 198, 2401, 2400, 1048])).
% 1.17/1.07 tff(2409,plain,
% 1.17/1.07 (c1_1(a732)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2408, 2368])).
% 1.17/1.07 tff(2410,plain,
% 1.17/1.07 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | c0_1(a735) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c3_1(a735)) | (~c2_1(a735)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a735) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c3_1(a735)) | (~c2_1(a735)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(2411,plain,
% 1.17/1.07 ((hskp10 | (~ndr1_0) | c0_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732))) <=> (hskp10 | c0_1(a735) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c3_1(a735)) | (~c2_1(a735)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(2412,plain,
% 1.17/1.07 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | c0_1(a735) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c3_1(a735)) | (~c2_1(a735))))),
% 1.17/1.07 inference(monotonicity,[status(thm)],[2411])).
% 1.17/1.07 tff(2413,plain,
% 1.17/1.07 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a735) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c3_1(a735)) | (~c2_1(a735)))),
% 1.17/1.07 inference(transitivity,[status(thm)],[2412, 2410])).
% 1.17/1.07 tff(2414,plain,
% 1.17/1.07 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732)))),
% 1.17/1.07 inference(quant_inst,[status(thm)],[])).
% 1.17/1.07 tff(2415,plain,
% 1.17/1.07 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a735) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c3_1(a735)) | (~c2_1(a735))),
% 1.17/1.07 inference(modus_ponens,[status(thm)],[2414, 2413])).
% 1.17/1.07 tff(2416,plain,
% 1.17/1.07 (hskp10 | (~c1_1(a732))),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2415, 116, 2396, 2395, 2397, 2401, 2400, 1066])).
% 1.17/1.07 tff(2417,plain,
% 1.17/1.07 (hskp10),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2416, 2409])).
% 1.17/1.07 tff(2418,plain,
% 1.17/1.07 (~c2_1(a748)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[1079, 2417])).
% 1.17/1.07 tff(2419,plain,
% 1.17/1.07 (~c1_1(a748)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[1085, 2417])).
% 1.17/1.07 tff(2420,plain,
% 1.17/1.07 (~c0_1(a748)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[1091, 2417])).
% 1.17/1.07 tff(2421,plain,
% 1.17/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c3_1(a741) | c0_1(a748) | c1_1(a748) | c2_1(a748) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c3_1(a741) | c0_1(a748) | c1_1(a748) | c2_1(a748) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(2422,plain,
% 1.17/1.07 (((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741)) | c2_1(a748) | c1_1(a748) | c0_1(a748)) <=> (c3_1(a741) | c0_1(a748) | c1_1(a748) | c2_1(a748) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(2423,plain,
% 1.17/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741)) | c2_1(a748) | c1_1(a748) | c0_1(a748))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c3_1(a741) | c0_1(a748) | c1_1(a748) | c2_1(a748) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750))))),
% 1.17/1.07 inference(monotonicity,[status(thm)],[2422])).
% 1.17/1.07 tff(2424,plain,
% 1.17/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741)) | c2_1(a748) | c1_1(a748) | c0_1(a748))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c3_1(a741) | c0_1(a748) | c1_1(a748) | c2_1(a748) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)))),
% 1.17/1.07 inference(transitivity,[status(thm)],[2423, 2421])).
% 1.17/1.07 tff(2425,plain,
% 1.17/1.07 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741)) | c2_1(a748) | c1_1(a748) | c0_1(a748))),
% 1.17/1.07 inference(quant_inst,[status(thm)],[])).
% 1.17/1.07 tff(2426,plain,
% 1.17/1.07 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c3_1(a741) | c0_1(a748) | c1_1(a748) | c2_1(a748) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750))),
% 1.17/1.07 inference(modus_ponens,[status(thm)],[2425, 2424])).
% 1.17/1.07 tff(2427,plain,
% 1.17/1.07 ($false),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2426, 116, 810, 880, 879, 2318, 2420, 2419, 2418, 198, 1048, 2368])).
% 1.17/1.07 tff(2428,plain,(hskp1 | (~c0_1(a750)) | (~c1_1(a750)) | (~c2_1(a750)) | c3_1(a741) | c0_1(a741) | c1_1(a741) | (~c1_1(a734)) | c0_1(a734) | c3_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.17/1.07 tff(2429,plain,
% 1.17/1.07 (hskp1),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2428, 2318, 880, 879, 810, 198, 1113, 1102, 22, 33])).
% 1.17/1.07 tff(2430,plain,
% 1.17/1.07 (~c2_1(a731)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[61, 2429])).
% 1.17/1.07 tff(2431,plain,
% 1.17/1.07 (c3_1(a731)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[72, 2429])).
% 1.17/1.07 tff(2432,plain,
% 1.17/1.07 (c1_1(a731)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[83, 2429])).
% 1.17/1.07 tff(2433,plain,
% 1.17/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | (c1_1(a741) | c3_1(a741) | c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | c1_1(a741) | c3_1(a741) | c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(2434,plain,
% 1.17/1.07 (((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a741) | c0_1(a741) | c3_1(a741)) <=> (c1_1(a741) | c3_1(a741) | c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(2435,plain,
% 1.17/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | ((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a741) | c0_1(a741) | c3_1(a741))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | (c1_1(a741) | c3_1(a741) | c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731))))),
% 1.17/1.07 inference(monotonicity,[status(thm)],[2434])).
% 1.17/1.07 tff(2436,plain,
% 1.17/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | ((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a741) | c0_1(a741) | c3_1(a741))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | c1_1(a741) | c3_1(a741) | c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)))),
% 1.17/1.07 inference(transitivity,[status(thm)],[2435, 2433])).
% 1.17/1.07 tff(2437,plain,
% 1.17/1.07 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | ((~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731)) | c2_1(a731) | (~c1_1(a731)) | (~c0_1(a731)) | c1_1(a741) | c0_1(a741) | c3_1(a741))),
% 1.17/1.07 inference(quant_inst,[status(thm)],[])).
% 1.17/1.07 tff(2438,plain,
% 1.17/1.07 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c1_1(V)) | (~c0_1(V)) | c1_1(W) | c0_1(W) | c3_1(W))) | c1_1(a741) | c3_1(a741) | c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | (~c0_1(a731))),
% 1.17/1.07 inference(modus_ponens,[status(thm)],[2437, 2436])).
% 1.17/1.07 tff(2439,plain,
% 1.17/1.07 (~c0_1(a731)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2438, 116, 1113, 2318, 2432, 2431, 198, 2430, 10])).
% 1.17/1.07 tff(2440,plain,
% 1.17/1.07 ($false),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[139, 116, 2432, 2431, 2430, 133, 2439])).
% 1.17/1.07 tff(2441,plain,(c3_1(a741) | c1_1(a741) | c0_1(a741) | (~c1_1(a750)) | (~c2_1(a750)) | (~c0_1(a750)) | (~c1_1(a734)) | c0_1(a734) | c3_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.17/1.07 tff(2442,plain,
% 1.17/1.07 (c3_1(a741)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2441, 1113, 198, 2317, 2316, 2315, 1101, 22, 33])).
% 1.17/1.07 tff(2443,plain,
% 1.17/1.07 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | c1_1(a741) | c0_1(a741) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c3_1(a741)) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c1_1(a741) | c0_1(a741) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c3_1(a741)) | (~c2_1(a734)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(2444,plain,
% 1.17/1.07 ((hskp7 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a741) | c0_1(a741) | (~c3_1(a741))) <=> (hskp7 | c1_1(a741) | c0_1(a741) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c3_1(a741)) | (~c2_1(a734)))),
% 1.17/1.07 inference(rewrite,[status(thm)],[])).
% 1.17/1.07 tff(2445,plain,
% 1.17/1.07 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a741) | c0_1(a741) | (~c3_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | c1_1(a741) | c0_1(a741) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c3_1(a741)) | (~c2_1(a734))))),
% 1.17/1.07 inference(monotonicity,[status(thm)],[2444])).
% 1.17/1.07 tff(2446,plain,
% 1.17/1.07 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a741) | c0_1(a741) | (~c3_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c1_1(a741) | c0_1(a741) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c3_1(a741)) | (~c2_1(a734)))),
% 1.17/1.07 inference(transitivity,[status(thm)],[2445, 2443])).
% 1.17/1.07 tff(2447,plain,
% 1.17/1.07 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a741) | c0_1(a741) | (~c3_1(a741)))),
% 1.17/1.07 inference(quant_inst,[status(thm)],[])).
% 1.17/1.07 tff(2448,plain,
% 1.17/1.07 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c1_1(a741) | c0_1(a741) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c3_1(a741)) | (~c2_1(a734))),
% 1.17/1.07 inference(modus_ponens,[status(thm)],[2447, 2446])).
% 1.17/1.07 tff(2449,plain,
% 1.17/1.07 ((~c3_1(a741)) | (~c2_1(a734))),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2448, 116, 1114, 1113, 198, 22, 33, 1362])).
% 1.17/1.07 tff(2450,plain,
% 1.17/1.07 (~c2_1(a734)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2449, 2442])).
% 1.17/1.07 tff(2451,plain,
% 1.17/1.07 (hskp5),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[1273, 2450, 33, 1101])).
% 1.17/1.07 tff(2452,plain,
% 1.17/1.07 (~c0_1(a735)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[460, 2451])).
% 1.17/1.07 tff(2453,plain,
% 1.17/1.07 (c3_1(a735)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[443, 2451])).
% 1.17/1.07 tff(2454,plain,
% 1.17/1.07 (c2_1(a735)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[454, 2451])).
% 1.17/1.07 tff(2455,plain,
% 1.17/1.07 (hskp10),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[1287, 116, 2454, 2453, 1101, 2452, 22, 1066, 2450])).
% 1.17/1.07 tff(2456,plain,
% 1.17/1.07 (~c2_1(a748)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[1079, 2455])).
% 1.17/1.07 tff(2457,plain,
% 1.17/1.07 (~c1_1(a748)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[1085, 2455])).
% 1.17/1.07 tff(2458,plain,
% 1.17/1.07 (~c0_1(a748)),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[1091, 2455])).
% 1.17/1.07 tff(2459,plain,
% 1.17/1.07 (hskp0 | hskp1),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[1400, 116, 1393, 1392, 1394, 260])).
% 1.17/1.07 tff(2460,plain,
% 1.17/1.07 (hskp0),
% 1.17/1.07 inference(unit_resolution,[status(thm)],[2459, 279])).
% 1.17/1.08 tff(2461,plain,
% 1.17/1.08 (~c1_1(a730)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[411, 2460])).
% 1.17/1.08 tff(2462,plain,
% 1.17/1.08 (c3_1(a730)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[471, 2460])).
% 1.17/1.08 tff(2463,plain,
% 1.17/1.08 (c0_1(a730)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[482, 2460])).
% 1.17/1.08 tff(2464,plain,
% 1.17/1.08 (c2_1(a741)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[2367, 2463, 880, 879, 2359, 1113, 2339, 198, 810, 2340, 279, 2462, 2461])).
% 1.17/1.08 tff(2465,plain,
% 1.17/1.08 (~c2_1(a730)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[554, 2463, 523, 2462, 496, 2461, 524])).
% 1.17/1.08 tff(2466,plain,
% 1.17/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c1_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c1_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)))),
% 1.17/1.08 inference(rewrite,[status(thm)],[])).
% 1.17/1.08 tff(2467,plain,
% 1.17/1.08 (((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741))) <=> (c1_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)))),
% 1.17/1.08 inference(rewrite,[status(thm)],[])).
% 1.17/1.08 tff(2468,plain,
% 1.17/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c1_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741))))),
% 1.17/1.08 inference(monotonicity,[status(thm)],[2467])).
% 1.17/1.08 tff(2469,plain,
% 1.17/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c1_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)))),
% 1.17/1.08 inference(transitivity,[status(thm)],[2468, 2466])).
% 1.17/1.08 tff(2470,plain,
% 1.17/1.08 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741)))),
% 1.17/1.08 inference(quant_inst,[status(thm)],[])).
% 1.17/1.08 tff(2471,plain,
% 1.17/1.08 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c1_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741))),
% 1.17/1.08 inference(modus_ponens,[status(thm)],[2470, 2469])).
% 1.17/1.08 tff(2472,plain,
% 1.17/1.08 ($false),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[2471, 116, 1113, 199, 2463, 2462, 198, 494, 2465, 2464])).
% 1.17/1.08 tff(2473,plain,(hskp1 | c1_1(a741) | (~c3_1(a741)) | c0_1(a741) | (~c1_1(a750)) | (~c2_1(a750)) | (~c2_1(a755)) | c3_1(a755) | (~c0_1(a750)) | (~c1_1(a755)) | (~c3_1(a735)) | c0_1(a735) | (~c2_1(a735)) | c0_1(a748) | c1_1(a748) | c2_1(a748)), inference(lemma,lemma(discharge,[]))).
% 1.17/1.08 tff(2474,plain,
% 1.17/1.08 (hskp1),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[2473, 1113, 2442, 198, 2317, 2316, 2296, 2285, 2315, 2307, 2453, 2452, 2454, 2458, 2457, 2456])).
% 1.17/1.08 tff(2475,plain,
% 1.17/1.08 (~c2_1(a731)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[61, 2474])).
% 1.17/1.08 tff(2476,plain,
% 1.17/1.08 (c3_1(a731)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[72, 2474])).
% 1.17/1.08 tff(2477,plain,
% 1.17/1.08 (c1_1(a731)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[83, 2474])).
% 1.17/1.08 tff(2478,plain,
% 1.17/1.08 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | c0_1(a734) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c0_1(a734) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a734) | (~c1_1(a734)))),
% 1.17/1.08 inference(rewrite,[status(thm)],[])).
% 1.17/1.08 tff(2479,plain,
% 1.17/1.08 ((hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734))) <=> (hskp11 | c0_1(a734) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a734) | (~c1_1(a734)))),
% 1.17/1.08 inference(rewrite,[status(thm)],[])).
% 1.17/1.08 tff(2480,plain,
% 1.17/1.08 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | c0_1(a734) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a734) | (~c1_1(a734))))),
% 1.17/1.08 inference(monotonicity,[status(thm)],[2479])).
% 1.17/1.08 tff(2481,plain,
% 1.17/1.08 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c0_1(a734) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a734) | (~c1_1(a734)))),
% 1.17/1.08 inference(transitivity,[status(thm)],[2480, 2478])).
% 1.17/1.08 tff(2482,plain,
% 1.17/1.08 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734)))),
% 1.17/1.08 inference(quant_inst,[status(thm)],[])).
% 1.17/1.08 tff(2483,plain,
% 1.17/1.08 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c0_1(a734) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a734) | (~c1_1(a734))),
% 1.17/1.08 inference(modus_ponens,[status(thm)],[2482, 2481])).
% 1.17/1.08 tff(2484,plain,
% 1.17/1.08 ($false),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[2483, 116, 21, 1101, 2477, 2476, 22, 2475, 43, 2450])).
% 1.17/1.08 tff(2485,plain,(c1_1(a741) | hskp11 | c0_1(a734) | c0_1(a741) | c3_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.17/1.08 tff(2486,plain,
% 1.17/1.08 (c1_1(a741)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[2485, 198, 22, 21, 33])).
% 1.17/1.08 tff(2487,plain,
% 1.17/1.08 (c3_1(a730)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[471, 1111])).
% 1.17/1.08 tff(2488,plain,
% 1.17/1.08 (c0_1(a730)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[482, 1111])).
% 1.17/1.08 tff(2489,plain,
% 1.17/1.08 (~hskp7),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[178, 2318])).
% 1.17/1.08 tff(2490,plain,
% 1.17/1.08 (hskp12),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[2278, 2489, 33])).
% 1.17/1.08 tff(2491,plain,
% 1.17/1.08 (c2_1(a755)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[2295, 2490])).
% 1.17/1.08 tff(2492,plain,
% 1.17/1.08 (~c3_1(a755)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[2284, 2490])).
% 1.17/1.08 tff(2493,plain,
% 1.17/1.08 (c1_1(a755)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[2306, 2490])).
% 1.17/1.08 tff(2494,plain,
% 1.17/1.08 (hskp27),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[2313, 116, 21, 2493, 2491, 2492, 604])).
% 1.17/1.08 tff(2495,plain,
% 1.17/1.08 (c2_1(a750)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[787, 2494])).
% 1.17/1.08 tff(2496,plain,
% 1.17/1.08 (c1_1(a750)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[798, 2494])).
% 1.17/1.08 tff(2497,plain,
% 1.17/1.08 (c0_1(a750)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[776, 2494])).
% 1.17/1.08 tff(2498,assumption,(hskp10), introduced(assumption)).
% 1.17/1.08 tff(2499,plain,
% 1.17/1.08 (~c2_1(a748)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[1079, 2498])).
% 1.17/1.08 tff(2500,plain,
% 1.17/1.08 (~c1_1(a748)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[1085, 2498])).
% 1.17/1.08 tff(2501,plain,
% 1.17/1.08 (~c0_1(a748)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[1091, 2498])).
% 1.17/1.08 tff(2502,plain,
% 1.17/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c3_1(a755) | c0_1(a748) | c1_1(a748) | c2_1(a748) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a755)) | c0_1(a755))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c3_1(a755) | c0_1(a748) | c1_1(a748) | c2_1(a748) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a755)) | c0_1(a755))),
% 1.17/1.08 inference(rewrite,[status(thm)],[])).
% 1.17/1.08 tff(2503,plain,
% 1.17/1.08 (((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a755) | c0_1(a755) | (~c2_1(a755)) | c2_1(a748) | c1_1(a748) | c0_1(a748)) <=> (c3_1(a755) | c0_1(a748) | c1_1(a748) | c2_1(a748) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a755)) | c0_1(a755))),
% 1.17/1.08 inference(rewrite,[status(thm)],[])).
% 1.17/1.08 tff(2504,plain,
% 1.17/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a755) | c0_1(a755) | (~c2_1(a755)) | c2_1(a748) | c1_1(a748) | c0_1(a748))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c3_1(a755) | c0_1(a748) | c1_1(a748) | c2_1(a748) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a755)) | c0_1(a755)))),
% 1.17/1.08 inference(monotonicity,[status(thm)],[2503])).
% 1.17/1.08 tff(2505,plain,
% 1.17/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a755) | c0_1(a755) | (~c2_1(a755)) | c2_1(a748) | c1_1(a748) | c0_1(a748))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c3_1(a755) | c0_1(a748) | c1_1(a748) | c2_1(a748) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a755)) | c0_1(a755))),
% 1.17/1.08 inference(transitivity,[status(thm)],[2504, 2502])).
% 1.17/1.08 tff(2506,plain,
% 1.17/1.08 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a755) | c0_1(a755) | (~c2_1(a755)) | c2_1(a748) | c1_1(a748) | c0_1(a748))),
% 1.17/1.08 inference(quant_inst,[status(thm)],[])).
% 1.17/1.08 tff(2507,plain,
% 1.17/1.08 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c3_1(a755) | c0_1(a748) | c1_1(a748) | c2_1(a748) | (~ndr1_0) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | (~c2_1(a755)) | c0_1(a755)),
% 1.17/1.08 inference(modus_ponens,[status(thm)],[2506, 2505])).
% 1.17/1.08 tff(2508,plain,
% 1.17/1.08 (c0_1(a755)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[2507, 116, 810, 880, 879, 2359, 2339, 2501, 2500, 2499, 1048])).
% 1.17/1.08 tff(2509,plain,
% 1.17/1.08 (hskp25),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[1300, 116, 508, 507, 2501, 2500, 2499, 495, 20])).
% 1.17/1.08 tff(2510,plain,
% 1.17/1.08 (c3_1(a729)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[831, 2509])).
% 1.17/1.08 tff(2511,plain,
% 1.17/1.08 (c2_1(a729)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[842, 2509])).
% 1.17/1.08 tff(2512,plain,
% 1.17/1.08 (c0_1(a729)),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[853, 2509])).
% 1.17/1.08 tff(2513,plain,
% 1.17/1.08 ($false),
% 1.17/1.08 inference(unit_resolution,[status(thm)],[2357, 116, 279, 2512, 2511, 2510, 2340, 2339, 809, 2508])).
% 1.17/1.08 tff(2514,plain,((~hskp10) | hskp1 | (~c1_1(a755)) | c3_1(a755) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a730) | (~c0_1(a750)) | (~c1_1(a750)) | (~c2_1(a750)) | (~c2_1(a755))), inference(lemma,lemma(discharge,[]))).
% 1.22/1.08 tff(2515,plain,
% 1.22/1.08 (~hskp10),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[2514, 2493, 279, 2492, 508, 507, 495, 2497, 2496, 2495, 2491])).
% 1.22/1.08 tff(2516,plain,
% 1.22/1.08 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | c3_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c3_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)))),
% 1.22/1.08 inference(rewrite,[status(thm)],[])).
% 1.22/1.08 tff(2517,plain,
% 1.22/1.08 ((hskp5 | (~ndr1_0) | c0_1(a741) | c3_1(a741) | (~c1_1(a741)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741))) <=> (hskp5 | c3_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)))),
% 1.22/1.08 inference(rewrite,[status(thm)],[])).
% 1.22/1.08 tff(2518,plain,
% 1.22/1.08 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a741) | c3_1(a741) | (~c1_1(a741)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | c3_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741))))),
% 1.22/1.08 inference(monotonicity,[status(thm)],[2517])).
% 1.22/1.08 tff(2519,plain,
% 1.22/1.08 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a741) | c3_1(a741) | (~c1_1(a741)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c3_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)))),
% 1.22/1.08 inference(transitivity,[status(thm)],[2518, 2516])).
% 1.22/1.08 tff(2520,plain,
% 1.22/1.08 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a741) | c3_1(a741) | (~c1_1(a741)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))),
% 1.22/1.08 inference(quant_inst,[status(thm)],[])).
% 1.22/1.08 tff(2521,plain,
% 1.22/1.08 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c3_1(a741) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741))),
% 1.22/1.08 inference(modus_ponens,[status(thm)],[2520, 2519])).
% 1.22/1.08 tff(2522,plain,
% 1.22/1.08 (hskp5 | c3_1(a741) | c2_1(a741) | (~c1_1(a741))),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[2521, 116, 198, 1266])).
% 1.22/1.08 tff(2523,plain,
% 1.22/1.08 (c2_1(a741)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[2522, 423, 231, 2318])).
% 1.22/1.08 tff(2524,plain,
% 1.22/1.08 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)))),
% 1.22/1.08 inference(rewrite,[status(thm)],[])).
% 1.22/1.08 tff(2525,plain,
% 1.22/1.08 ((hskp16 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741))) <=> (hskp16 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)))),
% 1.22/1.08 inference(rewrite,[status(thm)],[])).
% 1.22/1.08 tff(2526,plain,
% 1.22/1.08 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750))))),
% 1.22/1.08 inference(monotonicity,[status(thm)],[2525])).
% 1.22/1.08 tff(2527,plain,
% 1.22/1.08 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)))),
% 1.22/1.08 inference(transitivity,[status(thm)],[2526, 2524])).
% 1.22/1.08 tff(2528,plain,
% 1.22/1.08 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741)))),
% 1.22/1.08 inference(quant_inst,[status(thm)],[])).
% 1.22/1.08 tff(2529,plain,
% 1.22/1.08 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750))),
% 1.22/1.08 inference(modus_ponens,[status(thm)],[2528, 2527])).
% 1.22/1.08 tff(2530,plain,
% 1.22/1.08 (hskp16 | (~c3_1(a750))),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[2529, 116, 810, 879, 231, 198, 820, 606])).
% 1.22/1.08 tff(2531,plain,
% 1.22/1.08 (hskp16),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[2530, 1686])).
% 1.22/1.08 tff(2532,plain,
% 1.22/1.08 (~c3_1(a764)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[866, 2531])).
% 1.22/1.08 tff(2533,plain,
% 1.22/1.08 (c0_1(a764)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[890, 2531])).
% 1.22/1.08 tff(2534,plain,
% 1.22/1.08 (~c1_1(a764)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[1702, 116, 279, 810, 879, 2533, 2532, 809, 1686])).
% 1.22/1.08 tff(2535,plain,
% 1.22/1.08 (~c1_1(a744)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[750, 1382])).
% 1.22/1.08 tff(2536,plain,
% 1.22/1.08 (~c0_1(a744)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[726, 1382])).
% 1.22/1.08 tff(2537,plain,
% 1.22/1.08 ((hskp0 | hskp19 | hskp5) <=> (hskp0 | hskp19 | hskp5)),
% 1.22/1.08 inference(rewrite,[status(thm)],[])).
% 1.22/1.08 tff(2538,plain,
% 1.22/1.08 (((hskp0 | hskp5) | hskp19) <=> (hskp0 | hskp19 | hskp5)),
% 1.22/1.08 inference(rewrite,[status(thm)],[])).
% 1.22/1.08 tff(2539,axiom,((hskp0 | hskp5) | hskp19), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause34')).
% 1.22/1.08 tff(2540,plain,
% 1.22/1.08 (hskp0 | hskp19 | hskp5),
% 1.22/1.08 inference(modus_ponens,[status(thm)],[2539, 2538])).
% 1.22/1.08 tff(2541,plain,
% 1.22/1.08 (hskp0 | hskp19 | hskp5),
% 1.22/1.08 inference(modus_ponens,[status(thm)],[2540, 2537])).
% 1.22/1.08 tff(2542,plain,
% 1.22/1.08 (hskp19),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[2541, 241, 423])).
% 1.22/1.08 tff(2543,plain,
% 1.22/1.08 (~c0_1(a777)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[702, 2542])).
% 1.22/1.08 tff(2544,plain,
% 1.22/1.08 (c2_1(a777)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[713, 2542])).
% 1.22/1.08 tff(2545,plain,
% 1.22/1.08 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c0_1(a777) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c3_1(a744)) | (~c2_1(a777)) | (~c1_1(a777)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c0_1(a777) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c3_1(a744)) | (~c2_1(a777)) | (~c1_1(a777)))),
% 1.22/1.08 inference(rewrite,[status(thm)],[])).
% 1.22/1.08 tff(2546,plain,
% 1.22/1.08 ((hskp5 | (~ndr1_0) | c0_1(a777) | (~c2_1(a777)) | (~c1_1(a777)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744))) <=> (hskp5 | c0_1(a777) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c3_1(a744)) | (~c2_1(a777)) | (~c1_1(a777)))),
% 1.22/1.08 inference(rewrite,[status(thm)],[])).
% 1.22/1.08 tff(2547,plain,
% 1.22/1.08 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a777) | (~c2_1(a777)) | (~c1_1(a777)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c0_1(a777) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c3_1(a744)) | (~c2_1(a777)) | (~c1_1(a777))))),
% 1.22/1.08 inference(monotonicity,[status(thm)],[2546])).
% 1.22/1.08 tff(2548,plain,
% 1.22/1.08 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a777) | (~c2_1(a777)) | (~c1_1(a777)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c0_1(a777) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c3_1(a744)) | (~c2_1(a777)) | (~c1_1(a777)))),
% 1.22/1.08 inference(transitivity,[status(thm)],[2547, 2545])).
% 1.22/1.08 tff(2549,plain,
% 1.22/1.08 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a777) | (~c2_1(a777)) | (~c1_1(a777)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744)))),
% 1.22/1.08 inference(quant_inst,[status(thm)],[])).
% 1.22/1.08 tff(2550,plain,
% 1.22/1.08 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c0_1(a777) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c3_1(a744)) | (~c2_1(a777)) | (~c1_1(a777))),
% 1.22/1.08 inference(modus_ponens,[status(thm)],[2549, 2548])).
% 1.22/1.08 tff(2551,plain,
% 1.22/1.08 (~c1_1(a777)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[2550, 116, 423, 2544, 1389, 2543, 2536, 2535, 1907])).
% 1.22/1.08 tff(2552,plain,
% 1.22/1.08 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c0_1(a744) | c1_1(a744) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c0_1(a744) | c1_1(a744) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a744)))),
% 1.22/1.08 inference(rewrite,[status(thm)],[])).
% 1.22/1.08 tff(2553,plain,
% 1.22/1.08 ((hskp5 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744))) <=> (hskp5 | c0_1(a744) | c1_1(a744) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a744)))),
% 1.22/1.08 inference(rewrite,[status(thm)],[])).
% 1.22/1.08 tff(2554,plain,
% 1.22/1.08 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c0_1(a744) | c1_1(a744) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a744))))),
% 1.22/1.08 inference(monotonicity,[status(thm)],[2553])).
% 1.22/1.08 tff(2555,plain,
% 1.22/1.08 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c0_1(a744) | c1_1(a744) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a744)))),
% 1.22/1.08 inference(transitivity,[status(thm)],[2554, 2552])).
% 1.22/1.08 tff(2556,plain,
% 1.22/1.08 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c1_1(a741)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744)))),
% 1.22/1.08 inference(quant_inst,[status(thm)],[])).
% 1.22/1.08 tff(2557,plain,
% 1.22/1.08 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c0_1(a744) | c1_1(a744) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a744))),
% 1.22/1.08 inference(modus_ponens,[status(thm)],[2556, 2555])).
% 1.22/1.08 tff(2558,plain,
% 1.22/1.08 (~c2_1(a741)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[2557, 116, 423, 1389, 231, 2536, 2535, 198, 1907])).
% 1.22/1.08 tff(2559,plain,
% 1.22/1.08 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | c0_1(a777) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | c1_1(a777) | (~c2_1(a777)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp0 | c0_1(a777) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | c1_1(a777) | (~c2_1(a777)))),
% 1.22/1.08 inference(rewrite,[status(thm)],[])).
% 1.22/1.08 tff(2560,plain,
% 1.22/1.08 ((hskp0 | (~ndr1_0) | c2_1(a741) | c0_1(a741) | (~c1_1(a741)) | c1_1(a777) | c0_1(a777) | (~c2_1(a777))) <=> (hskp0 | c0_1(a777) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | c1_1(a777) | (~c2_1(a777)))),
% 1.22/1.08 inference(rewrite,[status(thm)],[])).
% 1.22/1.08 tff(2561,plain,
% 1.22/1.08 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a741) | c0_1(a741) | (~c1_1(a741)) | c1_1(a777) | c0_1(a777) | (~c2_1(a777)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | c0_1(a777) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | c1_1(a777) | (~c2_1(a777))))),
% 1.22/1.08 inference(monotonicity,[status(thm)],[2560])).
% 1.22/1.08 tff(2562,plain,
% 1.22/1.08 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a741) | c0_1(a741) | (~c1_1(a741)) | c1_1(a777) | c0_1(a777) | (~c2_1(a777)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp0 | c0_1(a777) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | c1_1(a777) | (~c2_1(a777)))),
% 1.22/1.08 inference(transitivity,[status(thm)],[2561, 2559])).
% 1.22/1.08 tff(2563,plain,
% 1.22/1.08 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a741) | c0_1(a741) | (~c1_1(a741)) | c1_1(a777) | c0_1(a777) | (~c2_1(a777)))),
% 1.22/1.08 inference(quant_inst,[status(thm)],[])).
% 1.22/1.08 tff(2564,plain,
% 1.22/1.08 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp0 | c0_1(a777) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | c1_1(a777) | (~c2_1(a777))),
% 1.22/1.08 inference(modus_ponens,[status(thm)],[2563, 2562])).
% 1.22/1.08 tff(2565,plain,
% 1.22/1.08 ($false),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[2564, 241, 116, 2544, 231, 2543, 198, 278, 2558, 2551])).
% 1.22/1.08 tff(2566,plain,(hskp0 | (~c1_1(a741)) | c0_1(a741) | hskp5), inference(lemma,lemma(discharge,[]))).
% 1.22/1.08 tff(2567,plain,
% 1.22/1.08 (hskp0),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[2566, 423, 198, 231])).
% 1.22/1.08 tff(2568,plain,
% 1.22/1.08 (~c1_1(a730)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[411, 2567])).
% 1.22/1.08 tff(2569,plain,
% 1.22/1.08 (c3_1(a730)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[471, 2567])).
% 1.22/1.08 tff(2570,plain,
% 1.22/1.08 (c0_1(a730)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[482, 2567])).
% 1.22/1.08 tff(2571,plain,
% 1.22/1.08 (c2_1(a764)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[877, 2531])).
% 1.22/1.08 tff(2572,plain,
% 1.22/1.08 ($false),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[1710, 116, 423, 2571, 2570, 2569, 2532, 2568, 1555, 2534])).
% 1.22/1.08 tff(2573,plain,((~c3_1(a750)) | hskp5 | hskp1 | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a741)) | c0_1(a741) | (~c2_1(a741))), inference(lemma,lemma(discharge,[]))).
% 1.22/1.08 tff(2574,plain,
% 1.22/1.08 (~c3_1(a750)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[2573, 423, 279, 2523, 879, 231, 198, 810])).
% 1.22/1.08 tff(2575,plain,
% 1.22/1.08 (hskp18 | c3_1(a750)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[1721, 116, 21, 810, 880, 1171])).
% 1.22/1.08 tff(2576,plain,
% 1.22/1.08 (hskp18),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[2575, 2574])).
% 1.22/1.08 tff(2577,plain,
% 1.22/1.08 (~c3_1(a775)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[1729, 2576])).
% 1.22/1.08 tff(2578,plain,
% 1.22/1.08 (~c2_1(a775)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[1735, 2576])).
% 1.22/1.08 tff(2579,plain,
% 1.22/1.08 (c1_1(a775)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[1934, 2576])).
% 1.22/1.08 tff(2580,assumption,(~c3_1(a775)), introduced(assumption)).
% 1.22/1.08 tff(2581,assumption,(~c2_1(a775)), introduced(assumption)).
% 1.22/1.08 tff(2582,plain,
% 1.22/1.08 (hskp9 | c0_1(a775)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[2232, 116, 423, 2581, 2580, 1181])).
% 1.22/1.08 tff(2583,plain,
% 1.22/1.08 (c0_1(a775)),
% 1.22/1.08 inference(unit_resolution,[status(thm)],[2582, 1754])).
% 1.22/1.08 tff(2584,assumption,(c1_1(a775)), introduced(assumption)).
% 1.22/1.08 tff(2585,plain,
% 1.22/1.09 (hskp25 | hskp9 | (~c0_1(a775))),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[1761, 116, 2581, 2580, 1753])).
% 1.22/1.09 tff(2586,plain,
% 1.22/1.09 (hskp25),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2585, 2583, 1754])).
% 1.22/1.09 tff(2587,plain,
% 1.22/1.09 (c3_1(a729)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[831, 2586])).
% 1.22/1.09 tff(2588,plain,
% 1.22/1.09 (c2_1(a729)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[842, 2586])).
% 1.22/1.09 tff(2589,plain,
% 1.22/1.09 (c0_1(a729)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[853, 2586])).
% 1.22/1.09 tff(2590,plain,
% 1.22/1.09 ($false),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[1945, 116, 279, 2589, 2588, 2587, 2584, 2580, 809, 2583])).
% 1.22/1.09 tff(2591,plain,(hskp9 | hskp1 | (~c1_1(a775)) | c3_1(a775) | c2_1(a775) | hskp5), inference(lemma,lemma(discharge,[]))).
% 1.22/1.09 tff(2592,plain,
% 1.22/1.09 (hskp9),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2591, 2579, 423, 279, 2578, 2577])).
% 1.22/1.09 tff(2593,plain,
% 1.22/1.09 (~c2_1(a746)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[352, 2592])).
% 1.22/1.09 tff(2594,plain,
% 1.22/1.09 (~c0_1(a746)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[358, 2592])).
% 1.22/1.09 tff(2595,plain,
% 1.22/1.09 (c3_1(a746)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[369, 2592])).
% 1.22/1.09 tff(2596,plain,
% 1.22/1.09 (~c1_1(a746)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[376, 116, 2595, 2594, 2593, 133])).
% 1.22/1.09 tff(2597,plain,
% 1.22/1.09 ($false),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2332, 116, 810, 880, 879, 2318, 2594, 2593, 198, 1048, 2523, 2596])).
% 1.22/1.09 tff(2598,plain,(hskp5 | (~c0_1(a750)) | (~c1_1(a750)) | (~c2_1(a750)) | c3_1(a741) | c0_1(a741) | hskp1 | hskp11 | (~c1_1(a741))), inference(lemma,lemma(discharge,[]))).
% 1.22/1.09 tff(2599,plain,
% 1.22/1.09 (hskp5),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2598, 2497, 2496, 2495, 2318, 198, 279, 21, 231])).
% 1.22/1.09 tff(2600,plain,
% 1.22/1.09 (~c0_1(a735)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[460, 2599])).
% 1.22/1.09 tff(2601,plain,
% 1.22/1.09 (c3_1(a735)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[443, 2599])).
% 1.22/1.09 tff(2602,plain,
% 1.22/1.09 (c2_1(a735)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[454, 2599])).
% 1.22/1.09 tff(2603,plain,
% 1.22/1.09 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | c0_1(a741) | c0_1(a735) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a735)) | (~c2_1(a735)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a741) | c0_1(a735) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a735)) | (~c2_1(a735)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2604,plain,
% 1.22/1.09 ((hskp10 | (~ndr1_0) | c0_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741))) <=> (hskp10 | c0_1(a741) | c0_1(a735) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a735)) | (~c2_1(a735)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2605,plain,
% 1.22/1.09 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | c0_1(a741) | c0_1(a735) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a735)) | (~c2_1(a735))))),
% 1.22/1.09 inference(monotonicity,[status(thm)],[2604])).
% 1.22/1.09 tff(2606,plain,
% 1.22/1.09 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a741) | c0_1(a735) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a735)) | (~c2_1(a735)))),
% 1.22/1.09 inference(transitivity,[status(thm)],[2605, 2603])).
% 1.22/1.09 tff(2607,plain,
% 1.22/1.09 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a735) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))),
% 1.22/1.09 inference(quant_inst,[status(thm)],[])).
% 1.22/1.09 tff(2608,plain,
% 1.22/1.09 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a741) | c0_1(a735) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a735)) | (~c2_1(a735))),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2607, 2606])).
% 1.22/1.09 tff(2609,plain,
% 1.22/1.09 (hskp10 | c2_1(a741)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2608, 116, 231, 2602, 2601, 198, 2600, 1066])).
% 1.22/1.09 tff(2610,plain,
% 1.22/1.09 (c2_1(a741)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2609, 2515])).
% 1.22/1.09 tff(2611,plain,
% 1.22/1.09 (~c2_1(a730)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[554, 2601, 508, 507, 2600, 495, 2602])).
% 1.22/1.09 tff(2612,plain,
% 1.22/1.09 (hskp2),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[585, 2611, 508, 2600, 495, 2602, 279, 2601])).
% 1.22/1.09 tff(2613,plain,
% 1.22/1.09 (~c2_1(a732)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[306, 2612])).
% 1.22/1.09 tff(2614,plain,
% 1.22/1.09 (~c0_1(a732)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[312, 2612])).
% 1.22/1.09 tff(2615,plain,
% 1.22/1.09 (hskp10 | (~c1_1(a732))),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2415, 116, 2602, 2601, 2600, 2614, 2613, 1066])).
% 1.22/1.09 tff(2616,plain,
% 1.22/1.09 (~c1_1(a732)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2615, 2515])).
% 1.22/1.09 tff(2617,plain,
% 1.22/1.09 ((~c2_1(a741)) | c1_1(a732)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2407, 116, 2497, 2496, 2495, 2318, 198, 2614, 2613, 1048])).
% 1.22/1.09 tff(2618,plain,
% 1.22/1.09 ($false),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2617, 2616, 2610])).
% 1.22/1.09 tff(2619,plain,(c3_1(a741) | c0_1(a741) | (~c1_1(a741)) | hskp1 | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a730) | hskp11 | c3_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.22/1.09 tff(2620,plain,
% 1.22/1.09 (c3_1(a741)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2619, 279, 2486, 198, 2488, 2487, 1112, 21, 33])).
% 1.22/1.09 tff(2621,plain,
% 1.22/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a741)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2622,plain,
% 1.22/1.09 (((~ndr1_0) | c2_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c2_1(a741) | c0_1(a741) | (~c3_1(a741))) <=> (c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a741)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2623,plain,
% 1.22/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c2_1(a741) | c0_1(a741) | (~c3_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a741))))),
% 1.22/1.09 inference(monotonicity,[status(thm)],[2622])).
% 1.22/1.09 tff(2624,plain,
% 1.22/1.09 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c2_1(a741) | c0_1(a741) | (~c3_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a741)))),
% 1.22/1.09 inference(transitivity,[status(thm)],[2623, 2621])).
% 1.22/1.09 tff(2625,plain,
% 1.22/1.09 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)) | c2_1(a741) | c0_1(a741) | (~c3_1(a741)))),
% 1.22/1.09 inference(quant_inst,[status(thm)],[])).
% 1.22/1.09 tff(2626,plain,
% 1.22/1.09 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a741))),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2625, 2624])).
% 1.22/1.09 tff(2627,plain,
% 1.22/1.09 ($false),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2626, 116, 231, 199, 198, 133, 186])).
% 1.22/1.09 tff(2628,plain,(c2_1(a741) | (~c1_1(a741)) | (~c3_1(a741)) | c0_1(a741)), inference(lemma,lemma(discharge,[]))).
% 1.22/1.09 tff(2629,plain,
% 1.22/1.09 (c2_1(a741)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2628, 2620, 2486, 198])).
% 1.22/1.09 tff(2630,plain,
% 1.22/1.09 (c1_1(a734)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[432, 22, 423, 33])).
% 1.22/1.09 tff(2631,plain,
% 1.22/1.09 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a741) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a741) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c1_1(a734)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2632,plain,
% 1.22/1.09 ((hskp5 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741))) <=> (hskp5 | c0_1(a741) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c1_1(a734)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2633,plain,
% 1.22/1.09 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a741) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c1_1(a734))))),
% 1.22/1.09 inference(monotonicity,[status(thm)],[2632])).
% 1.22/1.09 tff(2634,plain,
% 1.22/1.09 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a741) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c1_1(a734)))),
% 1.22/1.09 inference(transitivity,[status(thm)],[2633, 2631])).
% 1.22/1.09 tff(2635,plain,
% 1.22/1.09 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))),
% 1.22/1.09 inference(quant_inst,[status(thm)],[])).
% 1.22/1.09 tff(2636,plain,
% 1.22/1.09 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a741) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c1_1(a734))),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2635, 2634])).
% 1.22/1.09 tff(2637,plain,
% 1.22/1.09 (c2_1(a741) | (~c1_1(a734))),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2636, 116, 423, 231, 198, 22, 33, 1266])).
% 1.22/1.09 tff(2638,plain,
% 1.22/1.09 (c2_1(a741)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2637, 2630])).
% 1.22/1.09 tff(2639,plain,
% 1.22/1.09 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))))),
% 1.22/1.09 inference(bind,[status(th)],[])).
% 1.22/1.09 tff(2640,plain,
% 1.22/1.09 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.22/1.09 inference(quant_intro,[status(thm)],[2639])).
% 1.22/1.09 tff(2641,plain,
% 1.22/1.09 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2642,plain,
% 1.22/1.09 (^[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))) <=> ((~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))) | (~ndr1_0)))), rewrite((((~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))))), ((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V))))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c3_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V))) | (~c3_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W)))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W))))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c0_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W))) | c0_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W)))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c0_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W))))), ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c0_1(V)) | c0_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | (~c3_1(W))) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)))), ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c0_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W))))), (((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c0_1(V)) | c0_1(W)) | c2_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))), (((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c0_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))))),
% 1.22/1.09 inference(bind,[status(th)],[])).
% 1.22/1.09 tff(2643,plain,
% 1.22/1.09 (![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_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) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.22/1.09 inference(quant_intro,[status(thm)],[2642])).
% 1.22/1.09 tff(2644,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | (~c3_1(W))) | c0_1(V)) | c0_1(W)) | c2_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause174')).
% 1.22/1.09 tff(2645,plain,
% 1.22/1.09 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2644, 2643])).
% 1.22/1.09 tff(2646,plain,
% 1.22/1.09 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2645, 2641])).
% 1.22/1.09 tff(2647,plain,(
% 1.22/1.09 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.22/1.09 inference(skolemize,[status(sab)],[2646])).
% 1.22/1.09 tff(2648,plain,
% 1.22/1.09 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2647, 2640])).
% 1.22/1.09 tff(2649,plain,
% 1.22/1.09 (c2_1(a734) | (~c1_1(a734))),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[1272, 116, 423, 22, 33, 1266])).
% 1.22/1.09 tff(2650,plain,
% 1.22/1.09 (c2_1(a734)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2649, 2630])).
% 1.22/1.09 tff(2651,plain,
% 1.22/1.09 (^[V: $i, U: $i] : refl((hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) <=> (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))))),
% 1.22/1.09 inference(bind,[status(th)],[])).
% 1.22/1.09 tff(2652,plain,
% 1.22/1.09 (![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.22/1.09 inference(quant_intro,[status(thm)],[2651])).
% 1.22/1.09 tff(2653,plain,
% 1.22/1.09 (![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2654,plain,
% 1.22/1.09 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c1_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c1_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(V)))), ((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c2_1(V))))), (((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c2_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c2_1(V)))), (((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c2_1(V))))), ((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c2_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c2_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | (~c2_1(V)))), ((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | (~c2_1(V))))), (((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)))), (((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | (~c2_1(V))))), ((((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | (~c2_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | (~c2_1(V))) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))), ((((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))))), (((((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) | hskp14) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) | hskp14))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) | hskp14) <=> (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))), (((((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) | hskp14) <=> (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))))),
% 1.22/1.09 inference(bind,[status(th)],[])).
% 1.22/1.09 tff(2655,plain,
% 1.22/1.09 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) | hskp14) <=> ![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.22/1.09 inference(quant_intro,[status(thm)],[2654])).
% 1.22/1.09 tff(2656,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) | hskp14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause153')).
% 1.22/1.09 tff(2657,plain,
% 1.22/1.09 (![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2656, 2655])).
% 1.22/1.09 tff(2658,plain,
% 1.22/1.09 (![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2657, 2653])).
% 1.22/1.09 tff(2659,plain,(
% 1.22/1.09 ![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.22/1.09 inference(skolemize,[status(sab)],[2658])).
% 1.22/1.09 tff(2660,plain,
% 1.22/1.09 (![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2659, 2652])).
% 1.22/1.09 tff(2661,plain,
% 1.22/1.09 (hskp27),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[1682, 21, 2630, 2650])).
% 1.22/1.09 tff(2662,plain,
% 1.22/1.09 (c2_1(a750)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[787, 2661])).
% 1.22/1.09 tff(2663,plain,
% 1.22/1.09 (c0_1(a750)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[776, 2661])).
% 1.22/1.09 tff(2664,plain,
% 1.22/1.09 (~c3_1(a750)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2573, 2663, 279, 423, 2662, 231, 198, 2638])).
% 1.22/1.09 tff(2665,plain,
% 1.22/1.09 (c1_1(a750)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[798, 2661])).
% 1.22/1.09 tff(2666,plain,
% 1.22/1.09 (hskp18 | c3_1(a750)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[1721, 116, 21, 2663, 2665, 1171])).
% 1.22/1.09 tff(2667,plain,
% 1.22/1.09 (hskp18),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2666, 2664])).
% 1.22/1.09 tff(2668,plain,
% 1.22/1.09 (~c3_1(a775)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[1729, 2667])).
% 1.22/1.09 tff(2669,plain,
% 1.22/1.09 (~c2_1(a775)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[1735, 2667])).
% 1.22/1.09 tff(2670,plain,
% 1.22/1.09 (c1_1(a775)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[1934, 2667])).
% 1.22/1.09 tff(2671,plain,
% 1.22/1.09 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp14 | c2_1(a775) | c3_1(a775) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a775)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp14 | c2_1(a775) | c3_1(a775) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a775)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2672,plain,
% 1.22/1.09 ((hskp14 | (~ndr1_0) | c2_1(a775) | c3_1(a775) | (~c1_1(a775)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734))) <=> (hskp14 | c2_1(a775) | c3_1(a775) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a775)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2673,plain,
% 1.22/1.09 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c2_1(a775) | c3_1(a775) | (~c1_1(a775)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp14 | c2_1(a775) | c3_1(a775) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a775))))),
% 1.22/1.09 inference(monotonicity,[status(thm)],[2672])).
% 1.22/1.09 tff(2674,plain,
% 1.22/1.09 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c2_1(a775) | c3_1(a775) | (~c1_1(a775)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp14 | c2_1(a775) | c3_1(a775) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a775)))),
% 1.22/1.09 inference(transitivity,[status(thm)],[2673, 2671])).
% 1.22/1.09 tff(2675,plain,
% 1.22/1.09 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c2_1(a775) | c3_1(a775) | (~c1_1(a775)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)))),
% 1.22/1.09 inference(quant_inst,[status(thm)],[])).
% 1.22/1.09 tff(2676,plain,
% 1.22/1.09 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp14 | c2_1(a775) | c3_1(a775) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a775))),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2675, 2674])).
% 1.22/1.09 tff(2677,plain,
% 1.22/1.09 (hskp14),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2676, 116, 2670, 2669, 2668, 22, 33, 2660, 2650])).
% 1.22/1.09 tff(2678,plain,
% 1.22/1.09 (((~hskp14) | (~c2_1(a762))) <=> ((~hskp14) | (~c2_1(a762)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2679,plain,
% 1.22/1.09 (((~c2_1(a762)) | (~hskp14)) <=> ((~hskp14) | (~c2_1(a762)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2680,axiom,((~c2_1(a762)) | (~hskp14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause97')).
% 1.22/1.09 tff(2681,plain,
% 1.22/1.09 ((~hskp14) | (~c2_1(a762))),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2680, 2679])).
% 1.22/1.09 tff(2682,plain,
% 1.22/1.09 ((~hskp14) | (~c2_1(a762))),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2681, 2678])).
% 1.22/1.09 tff(2683,plain,
% 1.22/1.09 (~c2_1(a762)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2682, 2677])).
% 1.22/1.09 tff(2684,plain,
% 1.22/1.09 (((~hskp14) | (~c1_1(a762))) <=> ((~hskp14) | (~c1_1(a762)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2685,plain,
% 1.22/1.09 (((~c1_1(a762)) | (~hskp14)) <=> ((~hskp14) | (~c1_1(a762)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2686,axiom,((~c1_1(a762)) | (~hskp14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause96')).
% 1.22/1.09 tff(2687,plain,
% 1.22/1.09 ((~hskp14) | (~c1_1(a762))),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2686, 2685])).
% 1.22/1.09 tff(2688,plain,
% 1.22/1.09 ((~hskp14) | (~c1_1(a762))),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2687, 2684])).
% 1.22/1.09 tff(2689,plain,
% 1.22/1.09 (~c1_1(a762)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2688, 2677])).
% 1.22/1.09 tff(2690,plain,
% 1.22/1.09 (((~hskp14) | c0_1(a762)) <=> ((~hskp14) | c0_1(a762))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2691,axiom,((~hskp14) | c0_1(a762)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause63')).
% 1.22/1.09 tff(2692,plain,
% 1.22/1.09 ((~hskp14) | c0_1(a762)),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2691, 2690])).
% 1.22/1.09 tff(2693,plain,
% 1.22/1.09 ((~hskp14) | c0_1(a762)),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2692, 2690])).
% 1.22/1.09 tff(2694,plain,
% 1.22/1.09 ((~hskp14) | c0_1(a762)),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2693, 2690])).
% 1.22/1.09 tff(2695,plain,
% 1.22/1.09 ((~hskp14) | c0_1(a762)),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2694, 2690])).
% 1.22/1.09 tff(2696,plain,
% 1.22/1.09 ((~hskp14) | c0_1(a762)),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2695, 2690])).
% 1.22/1.09 tff(2697,plain,
% 1.22/1.09 ((~hskp14) | c0_1(a762)),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2696, 2690])).
% 1.22/1.09 tff(2698,plain,
% 1.22/1.09 ((~hskp14) | c0_1(a762)),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2697, 2690])).
% 1.22/1.09 tff(2699,plain,
% 1.22/1.09 ((~hskp14) | c0_1(a762)),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2698, 2690])).
% 1.22/1.09 tff(2700,plain,
% 1.22/1.09 (c0_1(a762)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2699, 2677])).
% 1.22/1.09 tff(2701,plain,
% 1.22/1.09 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c1_1(a762) | c2_1(a762) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a762)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c1_1(a762) | c2_1(a762) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a762)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2702,plain,
% 1.22/1.09 ((hskp2 | (~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c0_1(a762)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741))) <=> (hskp2 | c1_1(a762) | c2_1(a762) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a762)))),
% 1.22/1.09 inference(rewrite,[status(thm)],[])).
% 1.22/1.09 tff(2703,plain,
% 1.22/1.09 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c0_1(a762)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c1_1(a762) | c2_1(a762) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a762))))),
% 1.22/1.09 inference(monotonicity,[status(thm)],[2702])).
% 1.22/1.09 tff(2704,plain,
% 1.22/1.09 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c0_1(a762)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c1_1(a762) | c2_1(a762) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a762)))),
% 1.22/1.09 inference(transitivity,[status(thm)],[2703, 2701])).
% 1.22/1.09 tff(2705,plain,
% 1.22/1.09 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a762) | c1_1(a762) | (~c0_1(a762)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.22/1.09 inference(quant_inst,[status(thm)],[])).
% 1.22/1.09 tff(2706,plain,
% 1.22/1.09 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c1_1(a762) | c2_1(a762) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a762))),
% 1.22/1.09 inference(modus_ponens,[status(thm)],[2705, 2704])).
% 1.22/1.09 tff(2707,plain,
% 1.22/1.09 (hskp2),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[2706, 116, 2700, 231, 199, 2689, 2683, 198, 575])).
% 1.22/1.09 tff(2708,plain,
% 1.22/1.09 (~c2_1(a732)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[306, 2707])).
% 1.22/1.09 tff(2709,plain,
% 1.22/1.09 (~c0_1(a732)),
% 1.22/1.09 inference(unit_resolution,[status(thm)],[312, 2707])).
% 1.22/1.09 tff(2710,plain,
% 1.22/1.09 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c1_1(a734)))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2711,plain,
% 1.22/1.10 ((hskp5 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732))) <=> (hskp5 | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c1_1(a734)))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2712,plain,
% 1.22/1.10 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c1_1(a734))))),
% 1.22/1.10 inference(monotonicity,[status(thm)],[2711])).
% 1.22/1.10 tff(2713,plain,
% 1.22/1.10 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c1_1(a734)))),
% 1.22/1.10 inference(transitivity,[status(thm)],[2712, 2710])).
% 1.22/1.10 tff(2714,plain,
% 1.22/1.10 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c1_1(a734)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732)))),
% 1.22/1.10 inference(quant_inst,[status(thm)],[])).
% 1.22/1.10 tff(2715,plain,
% 1.22/1.10 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c1_1(a734))),
% 1.22/1.10 inference(modus_ponens,[status(thm)],[2714, 2713])).
% 1.22/1.10 tff(2716,plain,
% 1.22/1.10 (~c1_1(a732)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2715, 116, 423, 2630, 22, 33, 2709, 2708, 1266])).
% 1.22/1.10 tff(2717,plain,
% 1.22/1.10 ($false),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[1054, 116, 2663, 2665, 2662, 22, 33, 2709, 2708, 1048, 2650, 2716])).
% 1.22/1.10 tff(2718,plain,(hskp11 | c0_1(a734) | c3_1(a734) | hskp5 | (~c1_1(a741)) | (~c3_1(a741)) | c0_1(a741) | hskp1), inference(lemma,lemma(discharge,[]))).
% 1.22/1.10 tff(2719,plain,
% 1.22/1.10 (hskp11),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2718, 279, 33, 423, 231, 199, 198, 22])).
% 1.22/1.10 tff(2720,plain,
% 1.22/1.10 (~c1_1(a749)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[1665, 2719])).
% 1.22/1.10 tff(2721,plain,
% 1.22/1.10 (~c0_1(a749)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[1639, 2719])).
% 1.22/1.10 tff(2722,plain,
% 1.22/1.10 (~hskp25),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2390, 279, 2570, 2569, 2568, 2650, 2630, 22, 423])).
% 1.22/1.10 tff(2723,plain,
% 1.22/1.10 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | c0_1(a749) | c1_1(a749) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a749))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c0_1(a749) | c1_1(a749) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a749))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2724,plain,
% 1.22/1.10 ((hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a749) | c0_1(a749) | c2_1(a749)) <=> (hskp25 | c0_1(a749) | c1_1(a749) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a749))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2725,plain,
% 1.22/1.10 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a749) | c0_1(a749) | c2_1(a749))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | c0_1(a749) | c1_1(a749) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a749)))),
% 1.22/1.10 inference(monotonicity,[status(thm)],[2724])).
% 1.22/1.10 tff(2726,plain,
% 1.22/1.10 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a749) | c0_1(a749) | c2_1(a749))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c0_1(a749) | c1_1(a749) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a749))),
% 1.22/1.10 inference(transitivity,[status(thm)],[2725, 2723])).
% 1.22/1.10 tff(2727,plain,
% 1.22/1.10 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a749) | c0_1(a749) | c2_1(a749))),
% 1.22/1.10 inference(quant_inst,[status(thm)],[])).
% 1.22/1.10 tff(2728,plain,
% 1.22/1.10 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c0_1(a749) | c1_1(a749) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a749)),
% 1.22/1.10 inference(modus_ponens,[status(thm)],[2727, 2726])).
% 1.22/1.10 tff(2729,plain,
% 1.22/1.10 (c2_1(a749)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2728, 116, 2722, 2570, 2569, 2721, 2720, 2568, 20])).
% 1.22/1.10 tff(2730,plain,
% 1.22/1.10 (~c3_1(a749)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[1968, 2719])).
% 1.22/1.10 tff(2731,plain,
% 1.22/1.10 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | c1_1(a749) | c3_1(a749) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a749)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a749) | c3_1(a749) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a749)))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2732,plain,
% 1.22/1.10 ((hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a749) | c1_1(a749) | (~c2_1(a749))) <=> (hskp5 | c1_1(a749) | c3_1(a749) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a749)))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2733,plain,
% 1.22/1.10 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a749) | c1_1(a749) | (~c2_1(a749)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | c1_1(a749) | c3_1(a749) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a749))))),
% 1.22/1.10 inference(monotonicity,[status(thm)],[2732])).
% 1.22/1.10 tff(2734,plain,
% 1.22/1.10 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a749) | c1_1(a749) | (~c2_1(a749)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a749) | c3_1(a749) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a749)))),
% 1.22/1.10 inference(transitivity,[status(thm)],[2733, 2731])).
% 1.22/1.10 tff(2735,plain,
% 1.22/1.10 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a749) | c1_1(a749) | (~c2_1(a749)))),
% 1.22/1.10 inference(quant_inst,[status(thm)],[])).
% 1.22/1.10 tff(2736,plain,
% 1.22/1.10 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a749) | c3_1(a749) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a749))),
% 1.22/1.10 inference(modus_ponens,[status(thm)],[2735, 2734])).
% 1.22/1.10 tff(2737,plain,
% 1.22/1.10 ($false),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2736, 116, 423, 2570, 2569, 2720, 2730, 2568, 1555, 2729])).
% 1.22/1.10 tff(2738,plain,(hskp1 | hskp5 | c3_1(a734) | (~c1_1(a741)) | (~c3_1(a741)) | c0_1(a741) | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.22/1.10 tff(2739,plain,
% 1.22/1.10 (hskp1),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2738, 22, 33, 231, 199, 198, 423])).
% 1.22/1.10 tff(2740,plain,
% 1.22/1.10 (~c2_1(a731)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[61, 2739])).
% 1.22/1.10 tff(2741,plain,
% 1.22/1.10 (c3_1(a731)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[72, 2739])).
% 1.22/1.10 tff(2742,plain,
% 1.22/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | c0_1(a731))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | c0_1(a731))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2743,plain,
% 1.22/1.10 (((~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a731) | c0_1(a731) | (~c3_1(a731))) <=> (c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | c0_1(a731))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2744,plain,
% 1.22/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a731) | c0_1(a731) | (~c3_1(a731)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | c0_1(a731)))),
% 1.22/1.10 inference(monotonicity,[status(thm)],[2743])).
% 1.22/1.10 tff(2745,plain,
% 1.22/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a731) | c0_1(a731) | (~c3_1(a731)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | c0_1(a731))),
% 1.22/1.10 inference(transitivity,[status(thm)],[2744, 2742])).
% 1.22/1.10 tff(2746,plain,
% 1.22/1.10 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a731) | c0_1(a731) | (~c3_1(a731)))),
% 1.22/1.10 inference(quant_inst,[status(thm)],[])).
% 1.22/1.10 tff(2747,plain,
% 1.22/1.10 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a741) | c2_1(a731) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | c0_1(a731)),
% 1.22/1.10 inference(modus_ponens,[status(thm)],[2746, 2745])).
% 1.22/1.10 tff(2748,plain,
% 1.22/1.10 (c0_1(a731)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2747, 116, 231, 199, 2741, 198, 2740, 2648, 2638])).
% 1.22/1.10 tff(2749,plain,
% 1.22/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c0_1(a741) | c2_1(a731) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | (~c0_1(a731)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a741) | c2_1(a731) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | (~c0_1(a731)))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2750,plain,
% 1.22/1.10 (((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741))) <=> (c0_1(a741) | c2_1(a731) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | (~c0_1(a731)))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2751,plain,
% 1.22/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c0_1(a741) | c2_1(a731) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | (~c0_1(a731))))),
% 1.22/1.10 inference(monotonicity,[status(thm)],[2750])).
% 1.22/1.10 tff(2752,plain,
% 1.22/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a741) | c2_1(a731) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | (~c0_1(a731)))),
% 1.22/1.10 inference(transitivity,[status(thm)],[2751, 2749])).
% 1.22/1.10 tff(2753,plain,
% 1.22/1.10 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c0_1(a731)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741)))),
% 1.22/1.10 inference(quant_inst,[status(thm)],[])).
% 1.22/1.10 tff(2754,plain,
% 1.22/1.10 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a741) | c2_1(a731) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a731)) | (~c0_1(a731))),
% 1.22/1.10 inference(modus_ponens,[status(thm)],[2753, 2752])).
% 1.22/1.10 tff(2755,plain,
% 1.22/1.10 ((~c2_1(a730)) | (~c0_1(a731))),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2754, 116, 199, 2741, 2569, 198, 2740, 2568, 494, 2638])).
% 1.22/1.10 tff(2756,plain,
% 1.22/1.10 (~c2_1(a730)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2755, 2748])).
% 1.22/1.10 tff(2757,plain,
% 1.22/1.10 (c1_1(a731)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[83, 2739])).
% 1.22/1.10 tff(2758,plain,
% 1.22/1.10 (hskp13),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[1988, 116, 2630, 2757, 22, 33, 2740, 32, 2748])).
% 1.22/1.10 tff(2759,plain,
% 1.22/1.10 (~c1_1(a759)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[957, 2758])).
% 1.22/1.10 tff(2760,plain,
% 1.22/1.10 (c3_1(a759)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[969, 2758])).
% 1.22/1.10 tff(2761,plain,
% 1.22/1.10 (c2_1(a759)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[980, 2758])).
% 1.22/1.10 tff(2762,plain,
% 1.22/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c1_1(a759) | c0_1(a741) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c2_1(a759)) | (~c3_1(a759)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c1_1(a759) | c0_1(a741) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c2_1(a759)) | (~c3_1(a759)))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2763,plain,
% 1.22/1.10 (((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741))) <=> (c1_1(a759) | c0_1(a741) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c2_1(a759)) | (~c3_1(a759)))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2764,plain,
% 1.22/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c1_1(a759) | c0_1(a741) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c2_1(a759)) | (~c3_1(a759))))),
% 1.22/1.10 inference(monotonicity,[status(thm)],[2763])).
% 1.22/1.10 tff(2765,plain,
% 1.22/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c1_1(a759) | c0_1(a741) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c2_1(a759)) | (~c3_1(a759)))),
% 1.22/1.10 inference(transitivity,[status(thm)],[2764, 2762])).
% 1.22/1.10 tff(2766,plain,
% 1.22/1.10 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a759) | (~c2_1(a759)) | (~c3_1(a759)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741)))),
% 1.22/1.10 inference(quant_inst,[status(thm)],[])).
% 1.22/1.10 tff(2767,plain,
% 1.22/1.10 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c1_1(a759) | c0_1(a741) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c2_1(a759)) | (~c3_1(a759))),
% 1.22/1.10 inference(modus_ponens,[status(thm)],[2766, 2765])).
% 1.22/1.10 tff(2768,plain,
% 1.22/1.10 ($false),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2767, 116, 2761, 2760, 199, 2570, 2569, 2759, 198, 494, 2756, 2638])).
% 1.22/1.10 tff(2769,plain,(c0_1(a734) | (~c3_1(a741)) | c0_1(a741) | c3_1(a734) | (~c1_1(a741)) | hskp5), inference(lemma,lemma(discharge,[]))).
% 1.22/1.10 tff(2770,plain,
% 1.22/1.10 (c0_1(a734)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2769, 33, 198, 199, 231, 423])).
% 1.22/1.10 tff(2771,plain,
% 1.22/1.10 (~hskp4),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2113, 2770])).
% 1.22/1.10 tff(2772,plain,
% 1.22/1.10 ($false),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2259, 116, 423, 187, 1640, 1666, 2049, 422])).
% 1.22/1.10 tff(2773,plain,((~hskp11) | hskp5 | hskp4), inference(lemma,lemma(discharge,[]))).
% 1.22/1.10 tff(2774,plain,
% 1.22/1.10 (~hskp11),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2773, 2771, 423])).
% 1.22/1.10 tff(2775,plain,
% 1.22/1.10 (c1_1(a734) | (~c2_1(a734))),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2211, 116, 423, 2570, 2569, 33, 2568, 1555])).
% 1.22/1.10 tff(2776,plain,
% 1.22/1.10 (~c2_1(a734)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2775, 44])).
% 1.22/1.10 tff(2777,plain,
% 1.22/1.10 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c1_1(a732)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c1_1(a732)))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2778,plain,
% 1.22/1.10 ((hskp5 | (~ndr1_0) | c0_1(a732) | c3_1(a732) | (~c1_1(a732)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732))) <=> (hskp5 | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c1_1(a732)))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2779,plain,
% 1.22/1.10 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a732) | c3_1(a732) | (~c1_1(a732)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c1_1(a732))))),
% 1.22/1.10 inference(monotonicity,[status(thm)],[2778])).
% 1.22/1.10 tff(2780,plain,
% 1.22/1.10 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a732) | c3_1(a732) | (~c1_1(a732)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c1_1(a732)))),
% 1.22/1.10 inference(transitivity,[status(thm)],[2779, 2777])).
% 1.22/1.10 tff(2781,plain,
% 1.22/1.10 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a732) | c3_1(a732) | (~c1_1(a732)) | c0_1(a732) | c2_1(a732) | (~c1_1(a732)))),
% 1.22/1.10 inference(quant_inst,[status(thm)],[])).
% 1.22/1.10 tff(2782,plain,
% 1.22/1.10 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a732) | c2_1(a732) | c3_1(a732) | (~ndr1_0) | (~c1_1(a732))),
% 1.22/1.10 inference(modus_ponens,[status(thm)],[2781, 2780])).
% 1.22/1.10 tff(2783,plain,
% 1.22/1.10 (~c1_1(a732)),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2782, 116, 423, 1222, 1223, 1221, 1266])).
% 1.22/1.10 tff(2784,plain,
% 1.22/1.10 (((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | c0_1(a732) | c3_1(a732) | (~ndr1_0) | c1_1(a732))) <=> ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | hskp5 | hskp4 | c0_1(a732) | c3_1(a732) | (~ndr1_0) | c1_1(a732))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2785,plain,
% 1.22/1.10 ((hskp5 | hskp4 | (~ndr1_0) | c1_1(a732) | c0_1(a732) | c3_1(a732)) <=> (hskp5 | hskp4 | c0_1(a732) | c3_1(a732) | (~ndr1_0) | c1_1(a732))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2786,plain,
% 1.22/1.10 (((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | (~ndr1_0) | c1_1(a732) | c0_1(a732) | c3_1(a732))) <=> ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | c0_1(a732) | c3_1(a732) | (~ndr1_0) | c1_1(a732)))),
% 1.22/1.10 inference(monotonicity,[status(thm)],[2785])).
% 1.22/1.10 tff(2787,plain,
% 1.22/1.10 (((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | (~ndr1_0) | c1_1(a732) | c0_1(a732) | c3_1(a732))) <=> ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | hskp5 | hskp4 | c0_1(a732) | c3_1(a732) | (~ndr1_0) | c1_1(a732))),
% 1.22/1.10 inference(transitivity,[status(thm)],[2786, 2784])).
% 1.22/1.10 tff(2788,plain,
% 1.22/1.10 ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | (hskp5 | hskp4 | (~ndr1_0) | c1_1(a732) | c0_1(a732) | c3_1(a732))),
% 1.22/1.10 inference(quant_inst,[status(thm)],[])).
% 1.22/1.10 tff(2789,plain,
% 1.22/1.10 ((~![U: $i] : (hskp5 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | c3_1(U))) | hskp5 | hskp4 | c0_1(a732) | c3_1(a732) | (~ndr1_0) | c1_1(a732)),
% 1.22/1.10 inference(modus_ponens,[status(thm)],[2788, 2787])).
% 1.22/1.10 tff(2790,plain,
% 1.22/1.10 ($false),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2789, 116, 423, 187, 1222, 1221, 422, 2783])).
% 1.22/1.10 tff(2791,plain,((~hskp2) | hskp5 | hskp4), inference(lemma,lemma(discharge,[]))).
% 1.22/1.10 tff(2792,plain,
% 1.22/1.10 (~hskp2),
% 1.22/1.10 inference(unit_resolution,[status(thm)],[2791, 2771, 423])).
% 1.22/1.10 tff(2793,plain,
% 1.22/1.10 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c1_1(a734) | c0_1(a741) | (~c0_1(a734)) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | c2_1(a734))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c1_1(a734) | c0_1(a741) | (~c0_1(a734)) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | c2_1(a734))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.10 tff(2794,plain,
% 1.22/1.10 ((hskp2 | (~ndr1_0) | c2_1(a734) | c1_1(a734) | (~c0_1(a734)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741))) <=> (hskp2 | c1_1(a734) | c0_1(a741) | (~c0_1(a734)) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | c2_1(a734))),
% 1.22/1.10 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2795,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a734) | c1_1(a734) | (~c0_1(a734)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c1_1(a734) | c0_1(a741) | (~c0_1(a734)) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | c2_1(a734)))),
% 1.22/1.11 inference(monotonicity,[status(thm)],[2794])).
% 1.22/1.11 tff(2796,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a734) | c1_1(a734) | (~c0_1(a734)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c1_1(a734) | c0_1(a741) | (~c0_1(a734)) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | c2_1(a734))),
% 1.22/1.11 inference(transitivity,[status(thm)],[2795, 2793])).
% 1.22/1.11 tff(2797,plain,
% 1.22/1.11 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a734) | c1_1(a734) | (~c0_1(a734)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.22/1.11 inference(quant_inst,[status(thm)],[])).
% 1.22/1.11 tff(2798,plain,
% 1.22/1.11 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c1_1(a734) | c0_1(a741) | (~c0_1(a734)) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | c2_1(a734)),
% 1.22/1.11 inference(modus_ponens,[status(thm)],[2797, 2796])).
% 1.22/1.11 tff(2799,plain,
% 1.22/1.11 ($false),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2798, 116, 2792, 231, 199, 44, 198, 2770, 575, 2776])).
% 1.22/1.11 tff(2800,plain,(c1_1(a734) | (~c1_1(a741)) | (~c3_1(a741)) | c0_1(a741) | hskp5 | c3_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.22/1.11 tff(2801,plain,
% 1.22/1.11 (c1_1(a734)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2800, 33, 199, 198, 423, 231])).
% 1.22/1.11 tff(2802,plain,
% 1.22/1.11 (hskp18),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2223, 2801, 2770, 2774])).
% 1.22/1.11 tff(2803,plain,
% 1.22/1.11 (~c2_1(a775)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[1735, 2802])).
% 1.22/1.11 tff(2804,plain,
% 1.22/1.11 (~c3_1(a775)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[1729, 2802])).
% 1.22/1.11 tff(2805,plain,
% 1.22/1.11 (c1_1(a775)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[1934, 2802])).
% 1.22/1.11 tff(2806,plain,
% 1.22/1.11 (~c1_1(a746)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[376, 116, 1148, 1147, 1146, 133])).
% 1.22/1.11 tff(2807,plain,
% 1.22/1.11 (((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp6 | hskp4 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746)))) <=> ((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp6 | hskp4 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2808,plain,
% 1.22/1.11 ((hskp6 | hskp4 | (~ndr1_0) | c2_1(a746) | c0_1(a746) | (~c3_1(a746))) <=> (hskp6 | hskp4 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2809,plain,
% 1.22/1.11 (((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp6 | hskp4 | (~ndr1_0) | c2_1(a746) | c0_1(a746) | (~c3_1(a746)))) <=> ((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp6 | hskp4 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746))))),
% 1.22/1.11 inference(monotonicity,[status(thm)],[2808])).
% 1.22/1.11 tff(2810,plain,
% 1.22/1.11 (((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp6 | hskp4 | (~ndr1_0) | c2_1(a746) | c0_1(a746) | (~c3_1(a746)))) <=> ((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp6 | hskp4 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746)))),
% 1.22/1.11 inference(transitivity,[status(thm)],[2809, 2807])).
% 1.22/1.11 tff(2811,plain,
% 1.22/1.11 ((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp6 | hskp4 | (~ndr1_0) | c2_1(a746) | c0_1(a746) | (~c3_1(a746)))),
% 1.22/1.11 inference(quant_inst,[status(thm)],[])).
% 1.22/1.11 tff(2812,plain,
% 1.22/1.11 ((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp6 | hskp4 | c0_1(a746) | c2_1(a746) | (~ndr1_0) | (~c3_1(a746))),
% 1.22/1.11 inference(modus_ponens,[status(thm)],[2811, 2810])).
% 1.22/1.11 tff(2813,plain,
% 1.22/1.11 (hskp6),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2812, 116, 187, 1148, 1147, 1146, 197])).
% 1.22/1.11 tff(2814,plain,
% 1.22/1.11 (~c2_1(a738)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[212, 2813])).
% 1.22/1.11 tff(2815,plain,
% 1.22/1.11 (c1_1(a738)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[229, 2813])).
% 1.22/1.11 tff(2816,plain,
% 1.22/1.11 (~hskp11),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2773, 187, 423])).
% 1.22/1.11 tff(2817,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c2_1(a746) | c2_1(a738) | (~ndr1_0) | (~c3_1(a738)) | (~c1_1(a738)) | (~c3_1(a746)) | c1_1(a746))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c2_1(a746) | c2_1(a738) | (~ndr1_0) | (~c3_1(a738)) | (~c1_1(a738)) | (~c3_1(a746)) | c1_1(a746))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2818,plain,
% 1.22/1.11 ((hskp11 | (~ndr1_0) | c2_1(a738) | (~c3_1(a738)) | (~c1_1(a738)) | c1_1(a746) | c2_1(a746) | (~c3_1(a746))) <=> (hskp11 | c2_1(a746) | c2_1(a738) | (~ndr1_0) | (~c3_1(a738)) | (~c1_1(a738)) | (~c3_1(a746)) | c1_1(a746))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2819,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a738) | (~c3_1(a738)) | (~c1_1(a738)) | c1_1(a746) | c2_1(a746) | (~c3_1(a746)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c2_1(a746) | c2_1(a738) | (~ndr1_0) | (~c3_1(a738)) | (~c1_1(a738)) | (~c3_1(a746)) | c1_1(a746)))),
% 1.22/1.11 inference(monotonicity,[status(thm)],[2818])).
% 1.22/1.11 tff(2820,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a738) | (~c3_1(a738)) | (~c1_1(a738)) | c1_1(a746) | c2_1(a746) | (~c3_1(a746)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c2_1(a746) | c2_1(a738) | (~ndr1_0) | (~c3_1(a738)) | (~c1_1(a738)) | (~c3_1(a746)) | c1_1(a746))),
% 1.22/1.11 inference(transitivity,[status(thm)],[2819, 2817])).
% 1.22/1.11 tff(2821,plain,
% 1.22/1.11 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a738) | (~c3_1(a738)) | (~c1_1(a738)) | c1_1(a746) | c2_1(a746) | (~c3_1(a746)))),
% 1.22/1.11 inference(quant_inst,[status(thm)],[])).
% 1.22/1.11 tff(2822,plain,
% 1.22/1.11 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c2_1(a746) | c2_1(a738) | (~ndr1_0) | (~c3_1(a738)) | (~c1_1(a738)) | (~c3_1(a746)) | c1_1(a746)),
% 1.22/1.11 inference(modus_ponens,[status(thm)],[2821, 2820])).
% 1.22/1.11 tff(2823,plain,
% 1.22/1.11 (~c3_1(a738)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2822, 116, 2816, 1148, 2815, 1146, 2814, 387, 2806])).
% 1.22/1.11 tff(2824,plain,
% 1.22/1.11 (~c0_1(a738)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[218, 2813])).
% 1.22/1.11 tff(2825,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c3_1(a738) | (~c1_1(a738)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c3_1(a738) | (~c1_1(a738)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2826,plain,
% 1.22/1.11 ((hskp5 | (~ndr1_0) | c0_1(a738) | c3_1(a738) | (~c1_1(a738)) | c0_1(a738) | c2_1(a738) | (~c1_1(a738))) <=> (hskp5 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c3_1(a738) | (~c1_1(a738)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2827,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a738) | c3_1(a738) | (~c1_1(a738)) | c0_1(a738) | c2_1(a738) | (~c1_1(a738)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c3_1(a738) | (~c1_1(a738))))),
% 1.22/1.11 inference(monotonicity,[status(thm)],[2826])).
% 1.22/1.11 tff(2828,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a738) | c3_1(a738) | (~c1_1(a738)) | c0_1(a738) | c2_1(a738) | (~c1_1(a738)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c3_1(a738) | (~c1_1(a738)))),
% 1.22/1.11 inference(transitivity,[status(thm)],[2827, 2825])).
% 1.22/1.11 tff(2829,plain,
% 1.22/1.11 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp5 | (~ndr1_0) | c0_1(a738) | c3_1(a738) | (~c1_1(a738)) | c0_1(a738) | c2_1(a738) | (~c1_1(a738)))),
% 1.22/1.11 inference(quant_inst,[status(thm)],[])).
% 1.22/1.11 tff(2830,plain,
% 1.22/1.11 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp5 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c3_1(a738) | (~c1_1(a738))),
% 1.22/1.11 inference(modus_ponens,[status(thm)],[2829, 2828])).
% 1.22/1.11 tff(2831,plain,
% 1.22/1.11 ($false),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2830, 116, 423, 2815, 2824, 2814, 1266, 2823])).
% 1.22/1.11 tff(2832,plain,((~hskp9) | hskp5 | hskp4), inference(lemma,lemma(discharge,[]))).
% 1.22/1.11 tff(2833,plain,
% 1.22/1.11 (~hskp9),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2832, 2771, 423])).
% 1.22/1.11 tff(2834,plain,
% 1.22/1.11 (hskp1),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2591, 2833, 2805, 2804, 2803, 423])).
% 1.22/1.11 tff(2835,plain,
% 1.22/1.11 (~c2_1(a731)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[61, 2834])).
% 1.22/1.11 tff(2836,plain,
% 1.22/1.11 (c1_1(a731)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[83, 2834])).
% 1.22/1.11 tff(2837,plain,
% 1.22/1.11 (c3_1(a731)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[72, 2834])).
% 1.22/1.11 tff(2838,plain,
% 1.22/1.11 (~hskp11),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2773, 423, 187])).
% 1.22/1.11 tff(2839,plain,
% 1.22/1.11 (c2_1(a730)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2235, 2838])).
% 1.22/1.11 tff(2840,plain,
% 1.22/1.11 (hskp20),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2237, 2839, 423])).
% 1.22/1.11 tff(2841,plain,
% 1.22/1.11 (~c3_1(a779)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[1836, 2840])).
% 1.22/1.11 tff(2842,plain,
% 1.22/1.11 (~c1_1(a779)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[1842, 2840])).
% 1.22/1.11 tff(2843,plain,
% 1.22/1.11 (c2_1(a779)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[1853, 2840])).
% 1.22/1.11 tff(2844,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | c1_1(a779) | c3_1(a779) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a779)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a779) | c3_1(a779) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a779)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2845,plain,
% 1.22/1.11 ((hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a779) | c1_1(a779) | (~c2_1(a779))) <=> (hskp5 | c1_1(a779) | c3_1(a779) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a779)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2846,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a779) | c1_1(a779) | (~c2_1(a779)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | c1_1(a779) | c3_1(a779) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a779))))),
% 1.22/1.11 inference(monotonicity,[status(thm)],[2845])).
% 1.22/1.11 tff(2847,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a779) | c1_1(a779) | (~c2_1(a779)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a779) | c3_1(a779) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a779)))),
% 1.22/1.11 inference(transitivity,[status(thm)],[2846, 2844])).
% 1.22/1.11 tff(2848,plain,
% 1.22/1.11 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | (hskp5 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c3_1(a779) | c1_1(a779) | (~c2_1(a779)))),
% 1.22/1.11 inference(quant_inst,[status(thm)],[])).
% 1.22/1.11 tff(2849,plain,
% 1.22/1.11 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)))) | hskp5 | c1_1(a779) | c3_1(a779) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a779))),
% 1.22/1.11 inference(modus_ponens,[status(thm)],[2848, 2847])).
% 1.22/1.11 tff(2850,plain,
% 1.22/1.11 ($false),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2849, 116, 423, 2843, 508, 507, 2842, 2841, 495, 1555])).
% 1.22/1.11 tff(2851,plain,(hskp5 | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a730) | (~c1_1(a731)) | (~c3_1(a731)) | c2_1(a731) | hskp4), inference(lemma,lemma(discharge,[]))).
% 1.22/1.11 tff(2852,plain,
% 1.22/1.11 ($false),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2851, 2837, 2836, 423, 2568, 2570, 2569, 2771, 2835])).
% 1.22/1.11 tff(2853,plain,(c3_1(a734) | hskp5 | (~c3_1(a741)) | c0_1(a741) | (~c1_1(a741))), inference(lemma,lemma(discharge,[]))).
% 1.22/1.11 tff(2854,plain,
% 1.22/1.11 (c3_1(a734)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2853, 423, 199, 198, 231])).
% 1.22/1.11 tff(2855,plain,
% 1.22/1.11 (((~hskp4) | (~c3_1(a734))) <=> ((~hskp4) | (~c3_1(a734)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2856,plain,
% 1.22/1.11 (((~c3_1(a734)) | (~hskp4)) <=> ((~hskp4) | (~c3_1(a734)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2857,axiom,((~c3_1(a734)) | (~hskp4)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause115')).
% 1.22/1.11 tff(2858,plain,
% 1.22/1.11 ((~hskp4) | (~c3_1(a734))),
% 1.22/1.11 inference(modus_ponens,[status(thm)],[2857, 2856])).
% 1.22/1.11 tff(2859,plain,
% 1.22/1.11 ((~hskp4) | (~c3_1(a734))),
% 1.22/1.11 inference(modus_ponens,[status(thm)],[2858, 2855])).
% 1.22/1.11 tff(2860,plain,
% 1.22/1.11 (~hskp4),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2859, 2854])).
% 1.22/1.11 tff(2861,plain,
% 1.22/1.11 (~hskp2),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2791, 2860, 423])).
% 1.22/1.11 tff(2862,plain,
% 1.22/1.11 (~hskp11),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2773, 2860, 423])).
% 1.22/1.11 tff(2863,assumption,(hskp21), introduced(assumption)).
% 1.22/1.11 tff(2864,plain,
% 1.22/1.11 (~c2_1(a793)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[521, 2863])).
% 1.22/1.11 tff(2865,plain,
% 1.22/1.11 (c0_1(a793)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[545, 2863])).
% 1.22/1.11 tff(2866,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c2_1(a793) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a793)) | c1_1(a793))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c2_1(a793) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a793)) | c1_1(a793))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2867,plain,
% 1.22/1.11 ((hskp2 | (~ndr1_0) | c2_1(a793) | c1_1(a793) | (~c0_1(a793)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741))) <=> (hskp2 | c2_1(a793) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a793)) | c1_1(a793))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2868,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a793) | c1_1(a793) | (~c0_1(a793)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c2_1(a793) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a793)) | c1_1(a793)))),
% 1.22/1.11 inference(monotonicity,[status(thm)],[2867])).
% 1.22/1.11 tff(2869,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a793) | c1_1(a793) | (~c0_1(a793)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c2_1(a793) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a793)) | c1_1(a793))),
% 1.22/1.11 inference(transitivity,[status(thm)],[2868, 2866])).
% 1.22/1.11 tff(2870,plain,
% 1.22/1.11 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a793) | c1_1(a793) | (~c0_1(a793)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.22/1.11 inference(quant_inst,[status(thm)],[])).
% 1.22/1.11 tff(2871,plain,
% 1.22/1.11 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c2_1(a793) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a793)) | c1_1(a793)),
% 1.22/1.11 inference(modus_ponens,[status(thm)],[2870, 2869])).
% 1.22/1.11 tff(2872,plain,
% 1.22/1.11 (c1_1(a793)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2871, 116, 280, 2865, 231, 199, 2864, 198, 575])).
% 1.22/1.11 tff(2873,plain,
% 1.22/1.11 (c3_1(a793)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[534, 2863])).
% 1.22/1.11 tff(2874,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | c2_1(a793) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a793)) | (~c1_1(a793)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c2_1(a793) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a793)) | (~c1_1(a793)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2875,plain,
% 1.22/1.11 ((hskp11 | (~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c1_1(a793)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741))) <=> (hskp11 | c2_1(a793) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a793)) | (~c1_1(a793)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2876,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c1_1(a793)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | c2_1(a793) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a793)) | (~c1_1(a793))))),
% 1.22/1.11 inference(monotonicity,[status(thm)],[2875])).
% 1.22/1.11 tff(2877,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c1_1(a793)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c2_1(a793) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a793)) | (~c1_1(a793)))),
% 1.22/1.11 inference(transitivity,[status(thm)],[2876, 2874])).
% 1.22/1.11 tff(2878,plain,
% 1.22/1.11 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c1_1(a793)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))),
% 1.22/1.11 inference(quant_inst,[status(thm)],[])).
% 1.22/1.11 tff(2879,plain,
% 1.22/1.11 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c2_1(a793) | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a793)) | (~c1_1(a793))),
% 1.22/1.11 inference(modus_ponens,[status(thm)],[2878, 2877])).
% 1.22/1.11 tff(2880,plain,
% 1.22/1.11 (c2_1(a741)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2879, 116, 21, 2873, 231, 2864, 198, 43, 2872])).
% 1.22/1.11 tff(2881,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c2_1(a793) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c3_1(a793)) | (~c1_1(a793)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c2_1(a793) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c3_1(a793)) | (~c1_1(a793)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2882,plain,
% 1.22/1.11 ((hskp11 | (~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c1_1(a793)) | c1_1(a730) | c2_1(a730) | (~c3_1(a730))) <=> (hskp11 | c2_1(a793) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c3_1(a793)) | (~c1_1(a793)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2883,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c1_1(a793)) | c1_1(a730) | c2_1(a730) | (~c3_1(a730)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c2_1(a793) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c3_1(a793)) | (~c1_1(a793))))),
% 1.22/1.11 inference(monotonicity,[status(thm)],[2882])).
% 1.22/1.11 tff(2884,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c1_1(a793)) | c1_1(a730) | c2_1(a730) | (~c3_1(a730)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c2_1(a793) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c3_1(a793)) | (~c1_1(a793)))),
% 1.22/1.11 inference(transitivity,[status(thm)],[2883, 2881])).
% 1.22/1.11 tff(2885,plain,
% 1.22/1.11 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c1_1(a793)) | c1_1(a730) | c2_1(a730) | (~c3_1(a730)))),
% 1.22/1.11 inference(quant_inst,[status(thm)],[])).
% 1.22/1.11 tff(2886,plain,
% 1.22/1.11 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c2_1(a793) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c3_1(a793)) | (~c1_1(a793))),
% 1.22/1.11 inference(modus_ponens,[status(thm)],[2885, 2884])).
% 1.22/1.11 tff(2887,plain,
% 1.22/1.11 (c2_1(a730) | (~c1_1(a793))),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2886, 116, 21, 2873, 507, 2864, 495, 387])).
% 1.22/1.11 tff(2888,plain,
% 1.22/1.11 (c2_1(a730)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2887, 2872])).
% 1.22/1.11 tff(2889,plain,
% 1.22/1.11 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a793) | c0_1(a741) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a793)) | (~c0_1(a793)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a741) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2890,plain,
% 1.22/1.11 (((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741))) <=> (c2_1(a793) | c0_1(a741) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2891,plain,
% 1.22/1.11 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a793) | c0_1(a741) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a793)) | (~c0_1(a793))))),
% 1.22/1.11 inference(monotonicity,[status(thm)],[2890])).
% 1.22/1.11 tff(2892,plain,
% 1.22/1.11 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a741) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.22/1.11 inference(transitivity,[status(thm)],[2891, 2889])).
% 1.22/1.11 tff(2893,plain,
% 1.22/1.11 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a741) | (~c3_1(a741)) | (~c2_1(a741)))),
% 1.22/1.11 inference(quant_inst,[status(thm)],[])).
% 1.22/1.11 tff(2894,plain,
% 1.22/1.11 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a741) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a741)) | (~c3_1(a741)) | (~c3_1(a793)) | (~c0_1(a793))),
% 1.22/1.11 inference(modus_ponens,[status(thm)],[2893, 2892])).
% 1.22/1.11 tff(2895,plain,
% 1.22/1.11 ((~c2_1(a730)) | (~c2_1(a741))),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2894, 116, 2865, 2873, 199, 507, 2864, 198, 495, 494])).
% 1.22/1.11 tff(2896,plain,
% 1.22/1.11 ($false),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2895, 2888, 2880])).
% 1.22/1.11 tff(2897,plain,((~hskp21) | (~c3_1(a741)) | (~c3_1(a730)) | c0_1(a741) | c1_1(a730) | hskp11 | (~c1_1(a741)) | hskp2), inference(lemma,lemma(discharge,[]))).
% 1.22/1.11 tff(2898,plain,
% 1.22/1.11 (~hskp21),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2897, 2569, 199, 198, 2568, 2862, 231, 2861])).
% 1.22/1.11 tff(2899,plain,
% 1.22/1.11 (hskp21 | (~c2_1(a730))),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[514, 116, 2570, 2569, 506])).
% 1.22/1.11 tff(2900,plain,
% 1.22/1.11 (~c2_1(a730)),
% 1.22/1.11 inference(unit_resolution,[status(thm)],[2899, 2898])).
% 1.22/1.11 tff(2901,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c0_1(a741) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c1_1(a741)) | (~c3_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c0_1(a741) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c1_1(a741)) | (~c3_1(a741)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2902,plain,
% 1.22/1.11 ((hskp2 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c0_1(a730)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741))) <=> (hskp2 | c0_1(a741) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c1_1(a741)) | (~c3_1(a741)))),
% 1.22/1.11 inference(rewrite,[status(thm)],[])).
% 1.22/1.11 tff(2903,plain,
% 1.22/1.11 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c0_1(a730)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c0_1(a741) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c1_1(a741)) | (~c3_1(a741))))),
% 1.22/1.12 inference(monotonicity,[status(thm)],[2902])).
% 1.22/1.12 tff(2904,plain,
% 1.22/1.12 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c0_1(a730)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c0_1(a741) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c1_1(a741)) | (~c3_1(a741)))),
% 1.22/1.12 inference(transitivity,[status(thm)],[2903, 2901])).
% 1.22/1.12 tff(2905,plain,
% 1.22/1.12 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a730) | c1_1(a730) | (~c0_1(a730)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.22/1.12 inference(quant_inst,[status(thm)],[])).
% 1.22/1.12 tff(2906,plain,
% 1.22/1.12 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c0_1(a741) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c1_1(a741)) | (~c3_1(a741))),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[2905, 2904])).
% 1.22/1.12 tff(2907,plain,
% 1.22/1.12 ($false),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2906, 116, 2861, 231, 199, 2570, 198, 2568, 575, 2900])).
% 1.22/1.12 tff(2908,plain,(hskp5 | (~c1_1(a741)) | (~c3_1(a741)) | c0_1(a741)), inference(lemma,lemma(discharge,[]))).
% 1.22/1.12 tff(2909,plain,
% 1.22/1.12 (hskp5),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2908, 2620, 2486, 198])).
% 1.22/1.12 tff(2910,plain,
% 1.22/1.12 (~c0_1(a735)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[460, 2909])).
% 1.22/1.12 tff(2911,plain,
% 1.22/1.12 (c3_1(a735)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[443, 2909])).
% 1.22/1.12 tff(2912,plain,
% 1.22/1.12 (c2_1(a735)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[454, 2909])).
% 1.22/1.12 tff(2913,plain,
% 1.22/1.12 (~c2_1(a730)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[554, 2911, 2488, 2487, 2910, 1112, 2912])).
% 1.22/1.12 tff(2914,plain,
% 1.22/1.12 (hskp2),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[585, 2913, 2488, 2910, 1112, 2912, 279, 2911])).
% 1.22/1.12 tff(2915,plain,
% 1.22/1.12 (~c2_1(a732)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[306, 2914])).
% 1.22/1.12 tff(2916,plain,
% 1.22/1.12 (~c0_1(a732)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[312, 2914])).
% 1.22/1.12 tff(2917,plain,
% 1.22/1.12 (~c3_1(a732)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[591, 2914])).
% 1.22/1.12 tff(2918,plain,
% 1.22/1.12 (hskp5),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2908, 199, 231, 198])).
% 1.22/1.12 tff(2919,plain,
% 1.22/1.12 (c2_1(a735)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[454, 2918])).
% 1.22/1.12 tff(2920,plain,
% 1.22/1.12 (~c0_1(a735)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[460, 2918])).
% 1.22/1.12 tff(2921,plain,
% 1.22/1.12 (c3_1(a735)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[443, 2918])).
% 1.22/1.12 tff(2922,plain,
% 1.22/1.12 (~c2_1(a730)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[554, 2921, 508, 507, 2920, 495, 2919])).
% 1.22/1.12 tff(2923,plain,
% 1.22/1.12 (~c2_1(a741)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[765, 605, 507, 508, 21, 2922, 672, 671, 495, 231, 198, 673])).
% 1.22/1.12 tff(2924,plain,
% 1.22/1.12 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp27 | hskp11 | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c3_1(a741)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp27 | hskp11 | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c3_1(a741)))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(2925,plain,
% 1.22/1.12 ((hskp27 | hskp11 | (~ndr1_0) | c2_1(a741) | c0_1(a741) | (~c3_1(a741))) <=> (hskp27 | hskp11 | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c3_1(a741)))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(2926,plain,
% 1.22/1.12 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c2_1(a741) | c0_1(a741) | (~c3_1(a741)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp27 | hskp11 | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c3_1(a741))))),
% 1.22/1.12 inference(monotonicity,[status(thm)],[2925])).
% 1.22/1.12 tff(2927,plain,
% 1.22/1.12 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c2_1(a741) | c0_1(a741) | (~c3_1(a741)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp27 | hskp11 | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c3_1(a741)))),
% 1.22/1.12 inference(transitivity,[status(thm)],[2926, 2924])).
% 1.22/1.12 tff(2928,plain,
% 1.22/1.12 ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c2_1(a741) | c0_1(a741) | (~c3_1(a741)))),
% 1.22/1.12 inference(quant_inst,[status(thm)],[])).
% 1.22/1.12 tff(2929,plain,
% 1.22/1.12 ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp27 | hskp11 | c0_1(a741) | (~ndr1_0) | c2_1(a741) | (~c3_1(a741))),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[2928, 2927])).
% 1.22/1.12 tff(2930,plain,
% 1.22/1.12 (hskp27 | c2_1(a741) | (~c3_1(a741))),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2929, 116, 21, 198, 660])).
% 1.22/1.12 tff(2931,plain,
% 1.22/1.12 ($false),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2930, 2923, 605, 199])).
% 1.22/1.12 tff(2932,plain,(hskp27 | (~c3_1(a741)) | hskp11 | c0_1(a741) | (~c3_1(a730)) | (~c0_1(a730)) | c2_1(a732) | c3_1(a732) | c1_1(a730) | (~c1_1(a741)) | c0_1(a732)), inference(lemma,lemma(discharge,[]))).
% 1.22/1.12 tff(2933,plain,
% 1.22/1.12 (hskp27),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2932, 2620, 21, 198, 2487, 2488, 2915, 2917, 1112, 2486, 2916])).
% 1.22/1.12 tff(2934,plain,
% 1.22/1.12 (c2_1(a750)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[787, 2933])).
% 1.22/1.12 tff(2935,plain,
% 1.22/1.12 (c1_1(a750)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[798, 2933])).
% 1.22/1.12 tff(2936,plain,
% 1.22/1.12 (c0_1(a750)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[776, 2933])).
% 1.22/1.12 tff(2937,assumption,(~hskp10), introduced(assumption)).
% 1.22/1.12 tff(2938,plain,
% 1.22/1.12 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | c0_1(a741) | c0_1(a734) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a741) | c0_1(a734) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a734) | (~c1_1(a734)))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(2939,plain,
% 1.22/1.12 ((hskp10 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734))) <=> (hskp10 | c0_1(a741) | c0_1(a734) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a734) | (~c1_1(a734)))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(2940,plain,
% 1.22/1.12 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | c0_1(a741) | c0_1(a734) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a734) | (~c1_1(a734))))),
% 1.22/1.12 inference(monotonicity,[status(thm)],[2939])).
% 1.22/1.12 tff(2941,plain,
% 1.22/1.12 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a741) | c0_1(a734) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a734) | (~c1_1(a734)))),
% 1.22/1.12 inference(transitivity,[status(thm)],[2940, 2938])).
% 1.22/1.12 tff(2942,plain,
% 1.22/1.12 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp10 | (~ndr1_0) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c0_1(a734) | c2_1(a734) | (~c1_1(a734)))),
% 1.22/1.12 inference(quant_inst,[status(thm)],[])).
% 1.22/1.12 tff(2943,plain,
% 1.22/1.12 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp10 | c0_1(a741) | c0_1(a734) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a734) | (~c1_1(a734))),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[2942, 2941])).
% 1.22/1.12 tff(2944,plain,
% 1.22/1.12 (hskp10 | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a734)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2943, 116, 1102, 198, 22, 1066])).
% 1.22/1.12 tff(2945,plain,
% 1.22/1.12 (c2_1(a734)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2944, 2937, 199, 606])).
% 1.22/1.12 tff(2946,plain,
% 1.22/1.12 (hskp10 | (~c1_1(a732))),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2415, 116, 524, 523, 496, 673, 672, 1066])).
% 1.22/1.12 tff(2947,plain,
% 1.22/1.12 (~c1_1(a732)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2946, 2937])).
% 1.22/1.12 tff(2948,plain,
% 1.22/1.12 (c1_1(a732) | (~c2_1(a734))),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[1054, 116, 810, 880, 879, 22, 33, 673, 672, 1048])).
% 1.22/1.12 tff(2949,plain,
% 1.22/1.12 ($false),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2948, 2947, 2945])).
% 1.22/1.12 tff(2950,plain,(hskp10 | (~c0_1(a750)) | (~c1_1(a750)) | (~c2_1(a750)) | c0_1(a734) | c3_1(a734) | c0_1(a732) | c2_1(a732) | (~c2_1(a735)) | (~c3_1(a735)) | c0_1(a735) | (~c3_1(a741)) | (~c2_1(a741)) | (~c1_1(a734)) | c0_1(a741)), inference(lemma,lemma(discharge,[]))).
% 1.22/1.12 tff(2951,plain,
% 1.22/1.12 (hskp10),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2950, 2936, 2935, 2934, 22, 33, 2916, 2915, 2912, 2911, 2910, 2620, 2629, 1101, 198])).
% 1.22/1.12 tff(2952,plain,
% 1.22/1.12 (~c2_1(a748)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[1079, 2951])).
% 1.22/1.12 tff(2953,plain,
% 1.22/1.12 (~c1_1(a748)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[1085, 2951])).
% 1.22/1.12 tff(2954,plain,
% 1.22/1.12 (~c0_1(a748)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[1091, 2951])).
% 1.22/1.12 tff(2955,plain,
% 1.22/1.12 (~hskp25),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[1029, 2629, 2486, 198, 279, 2620, 2934, 2936, 2935])).
% 1.22/1.12 tff(2956,plain,
% 1.22/1.12 ($false),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[1300, 116, 2955, 2488, 2487, 2954, 2953, 2952, 1112, 20])).
% 1.22/1.12 tff(2957,plain,(hskp1 | c0_1(a734) | c3_1(a734) | c0_1(a741) | hskp11), inference(lemma,lemma(discharge,[]))).
% 1.22/1.12 tff(2958,plain,
% 1.22/1.12 (hskp1),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2957, 198, 33, 22, 21])).
% 1.22/1.12 tff(2959,plain,
% 1.22/1.12 (~c2_1(a731)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[61, 2958])).
% 1.22/1.12 tff(2960,plain,
% 1.22/1.12 (c3_1(a731)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[72, 2958])).
% 1.22/1.12 tff(2961,plain,
% 1.22/1.12 (c1_1(a731)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[83, 2958])).
% 1.22/1.12 tff(2962,plain,
% 1.22/1.12 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | c0_1(a741) | c2_1(a731) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a731)) | (~c1_1(a731)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c0_1(a741) | c2_1(a731) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a731)) | (~c1_1(a731)))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(2963,plain,
% 1.22/1.12 ((hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741))) <=> (hskp11 | c0_1(a741) | c2_1(a731) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a731)) | (~c1_1(a731)))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(2964,plain,
% 1.22/1.12 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | c0_1(a741) | c2_1(a731) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a731)) | (~c1_1(a731))))),
% 1.22/1.12 inference(monotonicity,[status(thm)],[2963])).
% 1.22/1.12 tff(2965,plain,
% 1.22/1.12 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c0_1(a741) | c2_1(a731) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a731)) | (~c1_1(a731)))),
% 1.22/1.12 inference(transitivity,[status(thm)],[2964, 2962])).
% 1.22/1.12 tff(2966,plain,
% 1.22/1.12 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c0_1(a741) | c2_1(a741) | (~c1_1(a741)))),
% 1.22/1.12 inference(quant_inst,[status(thm)],[])).
% 1.22/1.12 tff(2967,plain,
% 1.22/1.12 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c0_1(a741) | c2_1(a731) | (~ndr1_0) | c2_1(a741) | (~c1_1(a741)) | (~c3_1(a731)) | (~c1_1(a731))),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[2966, 2965])).
% 1.22/1.12 tff(2968,plain,
% 1.22/1.12 (c2_1(a741)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2967, 116, 21, 2486, 2961, 2960, 198, 2959, 43])).
% 1.22/1.12 tff(2969,plain,
% 1.22/1.12 (^[V: $i, U: $i] : refl((hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) <=> (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))))),
% 1.22/1.12 inference(bind,[status(th)],[])).
% 1.22/1.12 tff(2970,plain,
% 1.22/1.12 (![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.22/1.12 inference(quant_intro,[status(thm)],[2969])).
% 1.22/1.12 tff(2971,plain,
% 1.22/1.12 (![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(2972,plain,
% 1.22/1.12 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) <=> ((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V))) | c3_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | hskp15) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) | hskp15))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) | hskp15) <=> (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | hskp15) <=> (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))))),
% 1.22/1.12 inference(bind,[status(th)],[])).
% 1.22/1.12 tff(2973,plain,
% 1.22/1.12 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | hskp15) <=> ![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.22/1.12 inference(quant_intro,[status(thm)],[2972])).
% 1.22/1.12 tff(2974,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | hskp15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause164')).
% 1.22/1.12 tff(2975,plain,
% 1.22/1.12 (![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[2974, 2973])).
% 1.22/1.12 tff(2976,plain,
% 1.22/1.12 (![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[2975, 2971])).
% 1.22/1.12 tff(2977,plain,(
% 1.22/1.12 ![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.22/1.12 inference(skolemize,[status(sab)],[2976])).
% 1.22/1.12 tff(2978,plain,
% 1.22/1.12 (![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[2977, 2970])).
% 1.22/1.12 tff(2979,plain,
% 1.22/1.12 (c2_1(a734)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2483, 116, 21, 1101, 2961, 2960, 22, 2959, 43])).
% 1.22/1.12 tff(2980,plain,
% 1.22/1.12 (hskp27 | (~c2_1(a734)) | (~c1_1(a734))),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[1681, 116, 21, 33, 604])).
% 1.22/1.12 tff(2981,plain,
% 1.22/1.12 (hskp27),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2980, 2979, 1101])).
% 1.22/1.12 tff(2982,plain,
% 1.22/1.12 (c0_1(a750)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[776, 2981])).
% 1.22/1.12 tff(2983,plain,
% 1.22/1.12 (c2_1(a750)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[787, 2981])).
% 1.22/1.12 tff(2984,plain,
% 1.22/1.12 (c1_1(a750)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[798, 2981])).
% 1.22/1.12 tff(2985,plain,
% 1.22/1.12 ($false),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2332, 116, 810, 880, 879, 2318, 1147, 1146, 198, 1048, 606, 2806])).
% 1.22/1.12 tff(2986,plain,((~hskp9) | (~c0_1(a750)) | (~c1_1(a750)) | (~c2_1(a750)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741))), inference(lemma,lemma(discharge,[]))).
% 1.22/1.12 tff(2987,plain,
% 1.22/1.12 (~hskp9),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2986, 2318, 2984, 2983, 2982, 198, 2968])).
% 1.22/1.12 tff(2988,plain,
% 1.22/1.12 (hskp0),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[1103, 2987, 1101, 33])).
% 1.22/1.12 tff(2989,plain,
% 1.22/1.12 (~c1_1(a730)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[411, 2988])).
% 1.22/1.12 tff(2990,plain,
% 1.22/1.12 (c3_1(a730)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[471, 2988])).
% 1.22/1.12 tff(2991,plain,
% 1.22/1.12 (c2_1(a730)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[2006, 116, 21, 2961, 2960, 2990, 2959, 2989, 387])).
% 1.22/1.12 tff(2992,plain,
% 1.22/1.12 (^[U: $i] : refl((hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) <=> (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))))),
% 1.22/1.12 inference(bind,[status(th)],[])).
% 1.22/1.12 tff(2993,plain,
% 1.22/1.12 (![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))),
% 1.22/1.12 inference(quant_intro,[status(thm)],[2992])).
% 1.22/1.12 tff(2994,plain,
% 1.22/1.12 (![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(2995,plain,
% 1.22/1.12 (^[U: $i] : 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)) | hskp28) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | hskp28))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | hskp28) <=> (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp28) <=> (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp28) | hskp11) <=> ((hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | hskp11))), rewrite(((hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U))) | hskp11) <=> (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp28) | hskp11) <=> (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))))),
% 1.22/1.12 inference(bind,[status(th)],[])).
% 1.22/1.12 tff(2996,plain,
% 1.22/1.12 (![U: $i] : ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp28) | hskp11) <=> ![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))),
% 1.22/1.12 inference(quant_intro,[status(thm)],[2995])).
% 1.22/1.12 tff(2997,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp28) | hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause144')).
% 1.22/1.12 tff(2998,plain,
% 1.22/1.12 (![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[2997, 2996])).
% 1.22/1.12 tff(2999,plain,
% 1.22/1.12 (![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[2998, 2994])).
% 1.22/1.12 tff(3000,plain,(
% 1.22/1.12 ![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))),
% 1.22/1.12 inference(skolemize,[status(sab)],[2999])).
% 1.22/1.12 tff(3001,plain,
% 1.22/1.12 (![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3000, 2993])).
% 1.22/1.12 tff(3002,plain,
% 1.22/1.12 (c0_1(a730)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[482, 2988])).
% 1.22/1.12 tff(3003,plain,
% 1.22/1.12 (((~![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(a730)) | (~c0_1(a730)) | (~c3_1(a730)))) <=> ((~![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | hskp28 | hskp11 | (~ndr1_0) | (~c2_1(a730)) | (~c0_1(a730)) | (~c3_1(a730)))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(3004,plain,
% 1.22/1.12 ((hskp28 | hskp11 | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c0_1(a730))) <=> (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(a730)) | (~c0_1(a730)) | (~c3_1(a730)))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(3005,plain,
% 1.22/1.12 (((~![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c0_1(a730)))) <=> ((~![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(a730)) | (~c0_1(a730)) | (~c3_1(a730))))),
% 1.22/1.12 inference(monotonicity,[status(thm)],[3004])).
% 1.22/1.12 tff(3006,plain,
% 1.22/1.12 (((~![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c0_1(a730)))) <=> ((~![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | hskp28 | hskp11 | (~ndr1_0) | (~c2_1(a730)) | (~c0_1(a730)) | (~c3_1(a730)))),
% 1.22/1.12 inference(transitivity,[status(thm)],[3005, 3003])).
% 1.22/1.12 tff(3007,plain,
% 1.22/1.12 ((~![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c0_1(a730)))),
% 1.22/1.12 inference(quant_inst,[status(thm)],[])).
% 1.22/1.12 tff(3008,plain,
% 1.22/1.12 ((~![U: $i] : (hskp28 | hskp11 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | hskp28 | hskp11 | (~ndr1_0) | (~c2_1(a730)) | (~c0_1(a730)) | (~c3_1(a730))),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3007, 3006])).
% 1.22/1.12 tff(3009,plain,
% 1.22/1.12 (hskp28 | (~c2_1(a730))),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[3008, 116, 21, 3002, 2990, 3001])).
% 1.22/1.12 tff(3010,plain,
% 1.22/1.12 (hskp28),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[3009, 2991])).
% 1.22/1.12 tff(3011,plain,
% 1.22/1.12 (((~hskp28) | c3_1(a784)) <=> ((~hskp28) | c3_1(a784))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(3012,axiom,((~hskp28) | c3_1(a784)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause38')).
% 1.22/1.12 tff(3013,plain,
% 1.22/1.12 ((~hskp28) | c3_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3012, 3011])).
% 1.22/1.12 tff(3014,plain,
% 1.22/1.12 ((~hskp28) | c3_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3013, 3011])).
% 1.22/1.12 tff(3015,plain,
% 1.22/1.12 ((~hskp28) | c3_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3014, 3011])).
% 1.22/1.12 tff(3016,plain,
% 1.22/1.12 ((~hskp28) | c3_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3015, 3011])).
% 1.22/1.12 tff(3017,plain,
% 1.22/1.12 ((~hskp28) | c3_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3016, 3011])).
% 1.22/1.12 tff(3018,plain,
% 1.22/1.12 ((~hskp28) | c3_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3017, 3011])).
% 1.22/1.12 tff(3019,plain,
% 1.22/1.12 ((~hskp28) | c3_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3018, 3011])).
% 1.22/1.12 tff(3020,plain,
% 1.22/1.12 ((~hskp28) | c3_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3019, 3011])).
% 1.22/1.12 tff(3021,plain,
% 1.22/1.12 (c3_1(a784)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[3020, 3010])).
% 1.22/1.12 tff(3022,plain,
% 1.22/1.12 (((~hskp28) | c1_1(a784)) <=> ((~hskp28) | c1_1(a784))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(3023,axiom,((~hskp28) | c1_1(a784)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause37')).
% 1.22/1.12 tff(3024,plain,
% 1.22/1.12 ((~hskp28) | c1_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3023, 3022])).
% 1.22/1.12 tff(3025,plain,
% 1.22/1.12 ((~hskp28) | c1_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3024, 3022])).
% 1.22/1.12 tff(3026,plain,
% 1.22/1.12 ((~hskp28) | c1_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3025, 3022])).
% 1.22/1.12 tff(3027,plain,
% 1.22/1.12 ((~hskp28) | c1_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3026, 3022])).
% 1.22/1.12 tff(3028,plain,
% 1.22/1.12 ((~hskp28) | c1_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3027, 3022])).
% 1.22/1.12 tff(3029,plain,
% 1.22/1.12 ((~hskp28) | c1_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3028, 3022])).
% 1.22/1.12 tff(3030,plain,
% 1.22/1.12 ((~hskp28) | c1_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3029, 3022])).
% 1.22/1.12 tff(3031,plain,
% 1.22/1.12 ((~hskp28) | c1_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3030, 3022])).
% 1.22/1.12 tff(3032,plain,
% 1.22/1.12 (c1_1(a784)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[3031, 3010])).
% 1.22/1.12 tff(3033,plain,
% 1.22/1.12 (((~hskp28) | c0_1(a784)) <=> ((~hskp28) | c0_1(a784))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(3034,axiom,((~hskp28) | c0_1(a784)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause36')).
% 1.22/1.12 tff(3035,plain,
% 1.22/1.12 ((~hskp28) | c0_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3034, 3033])).
% 1.22/1.12 tff(3036,plain,
% 1.22/1.12 ((~hskp28) | c0_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3035, 3033])).
% 1.22/1.12 tff(3037,plain,
% 1.22/1.12 ((~hskp28) | c0_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3036, 3033])).
% 1.22/1.12 tff(3038,plain,
% 1.22/1.12 ((~hskp28) | c0_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3037, 3033])).
% 1.22/1.12 tff(3039,plain,
% 1.22/1.12 ((~hskp28) | c0_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3038, 3033])).
% 1.22/1.12 tff(3040,plain,
% 1.22/1.12 ((~hskp28) | c0_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3039, 3033])).
% 1.22/1.12 tff(3041,plain,
% 1.22/1.12 ((~hskp28) | c0_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3040, 3033])).
% 1.22/1.12 tff(3042,plain,
% 1.22/1.12 ((~hskp28) | c0_1(a784)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3041, 3033])).
% 1.22/1.12 tff(3043,plain,
% 1.22/1.12 (c0_1(a784)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[3042, 3010])).
% 1.22/1.12 tff(3044,plain,
% 1.22/1.12 (((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp15 | c3_1(a741) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c1_1(a784)) | (~c3_1(a784)) | (~c0_1(a784)))) <=> ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp15 | c3_1(a741) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c1_1(a784)) | (~c3_1(a784)) | (~c0_1(a784)))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(3045,plain,
% 1.22/1.12 ((hskp15 | (~ndr1_0) | (~c3_1(a784)) | (~c1_1(a784)) | (~c0_1(a784)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741))) <=> (hskp15 | c3_1(a741) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c1_1(a784)) | (~c3_1(a784)) | (~c0_1(a784)))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(3046,plain,
% 1.22/1.12 (((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp15 | (~ndr1_0) | (~c3_1(a784)) | (~c1_1(a784)) | (~c0_1(a784)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp15 | c3_1(a741) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c1_1(a784)) | (~c3_1(a784)) | (~c0_1(a784))))),
% 1.22/1.12 inference(monotonicity,[status(thm)],[3045])).
% 1.22/1.12 tff(3047,plain,
% 1.22/1.12 (((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp15 | (~ndr1_0) | (~c3_1(a784)) | (~c1_1(a784)) | (~c0_1(a784)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp15 | c3_1(a741) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c1_1(a784)) | (~c3_1(a784)) | (~c0_1(a784)))),
% 1.22/1.12 inference(transitivity,[status(thm)],[3046, 3044])).
% 1.22/1.12 tff(3048,plain,
% 1.22/1.12 ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp15 | (~ndr1_0) | (~c3_1(a784)) | (~c1_1(a784)) | (~c0_1(a784)) | c3_1(a741) | c0_1(a741) | (~c2_1(a741)))),
% 1.22/1.12 inference(quant_inst,[status(thm)],[])).
% 1.22/1.12 tff(3049,plain,
% 1.22/1.12 ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp15 | c3_1(a741) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c1_1(a784)) | (~c3_1(a784)) | (~c0_1(a784))),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3048, 3047])).
% 1.22/1.12 tff(3050,plain,
% 1.22/1.12 (hskp15),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[3049, 116, 3043, 3032, 3021, 2318, 198, 2978, 2968])).
% 1.22/1.12 tff(3051,plain,
% 1.22/1.12 (((~hskp15) | (~c2_1(a763))) <=> ((~hskp15) | (~c2_1(a763)))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(3052,plain,
% 1.22/1.12 (((~c2_1(a763)) | (~hskp15)) <=> ((~hskp15) | (~c2_1(a763)))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(3053,axiom,((~c2_1(a763)) | (~hskp15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause95')).
% 1.22/1.12 tff(3054,plain,
% 1.22/1.12 ((~hskp15) | (~c2_1(a763))),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3053, 3052])).
% 1.22/1.12 tff(3055,plain,
% 1.22/1.12 ((~hskp15) | (~c2_1(a763))),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3054, 3051])).
% 1.22/1.12 tff(3056,plain,
% 1.22/1.12 (~c2_1(a763)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[3055, 3050])).
% 1.22/1.12 tff(3057,plain,
% 1.22/1.12 (((~hskp15) | c1_1(a763)) <=> ((~hskp15) | c1_1(a763))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(3058,axiom,((~hskp15) | c1_1(a763)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause62')).
% 1.22/1.12 tff(3059,plain,
% 1.22/1.12 ((~hskp15) | c1_1(a763)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3058, 3057])).
% 1.22/1.12 tff(3060,plain,
% 1.22/1.12 ((~hskp15) | c1_1(a763)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3059, 3057])).
% 1.22/1.12 tff(3061,plain,
% 1.22/1.12 ((~hskp15) | c1_1(a763)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3060, 3057])).
% 1.22/1.12 tff(3062,plain,
% 1.22/1.12 ((~hskp15) | c1_1(a763)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3061, 3057])).
% 1.22/1.12 tff(3063,plain,
% 1.22/1.12 ((~hskp15) | c1_1(a763)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3062, 3057])).
% 1.22/1.12 tff(3064,plain,
% 1.22/1.12 ((~hskp15) | c1_1(a763)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3063, 3057])).
% 1.22/1.12 tff(3065,plain,
% 1.22/1.12 ((~hskp15) | c1_1(a763)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3064, 3057])).
% 1.22/1.12 tff(3066,plain,
% 1.22/1.12 ((~hskp15) | c1_1(a763)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3065, 3057])).
% 1.22/1.12 tff(3067,plain,
% 1.22/1.12 (c1_1(a763)),
% 1.22/1.12 inference(unit_resolution,[status(thm)],[3066, 3050])).
% 1.22/1.12 tff(3068,plain,
% 1.22/1.12 (((~hskp15) | c0_1(a763)) <=> ((~hskp15) | c0_1(a763))),
% 1.22/1.12 inference(rewrite,[status(thm)],[])).
% 1.22/1.12 tff(3069,axiom,((~hskp15) | c0_1(a763)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause61')).
% 1.22/1.12 tff(3070,plain,
% 1.22/1.12 ((~hskp15) | c0_1(a763)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3069, 3068])).
% 1.22/1.12 tff(3071,plain,
% 1.22/1.12 ((~hskp15) | c0_1(a763)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3070, 3068])).
% 1.22/1.12 tff(3072,plain,
% 1.22/1.12 ((~hskp15) | c0_1(a763)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3071, 3068])).
% 1.22/1.12 tff(3073,plain,
% 1.22/1.12 ((~hskp15) | c0_1(a763)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3072, 3068])).
% 1.22/1.12 tff(3074,plain,
% 1.22/1.12 ((~hskp15) | c0_1(a763)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3073, 3068])).
% 1.22/1.12 tff(3075,plain,
% 1.22/1.12 ((~hskp15) | c0_1(a763)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3074, 3068])).
% 1.22/1.12 tff(3076,plain,
% 1.22/1.12 ((~hskp15) | c0_1(a763)),
% 1.22/1.12 inference(modus_ponens,[status(thm)],[3075, 3068])).
% 1.22/1.13 tff(3077,plain,
% 1.22/1.13 ((~hskp15) | c0_1(a763)),
% 1.22/1.13 inference(modus_ponens,[status(thm)],[3076, 3068])).
% 1.22/1.13 tff(3078,plain,
% 1.22/1.13 (c0_1(a763)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3077, 3050])).
% 1.22/1.13 tff(3079,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | c3_1(a741) | c2_1(a763) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c0_1(a763)) | (~c1_1(a763)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp13 | c3_1(a741) | c2_1(a763) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c0_1(a763)) | (~c1_1(a763)))),
% 1.22/1.13 inference(rewrite,[status(thm)],[])).
% 1.22/1.13 tff(3080,plain,
% 1.22/1.13 ((hskp13 | (~ndr1_0) | c2_1(a763) | (~c1_1(a763)) | (~c0_1(a763)) | c3_1(a741) | c0_1(a741) | (~c1_1(a741))) <=> (hskp13 | c3_1(a741) | c2_1(a763) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c0_1(a763)) | (~c1_1(a763)))),
% 1.22/1.13 inference(rewrite,[status(thm)],[])).
% 1.22/1.13 tff(3081,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | (~ndr1_0) | c2_1(a763) | (~c1_1(a763)) | (~c0_1(a763)) | c3_1(a741) | c0_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | c3_1(a741) | c2_1(a763) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c0_1(a763)) | (~c1_1(a763))))),
% 1.22/1.13 inference(monotonicity,[status(thm)],[3080])).
% 1.22/1.13 tff(3082,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | (~ndr1_0) | c2_1(a763) | (~c1_1(a763)) | (~c0_1(a763)) | c3_1(a741) | c0_1(a741) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp13 | c3_1(a741) | c2_1(a763) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c0_1(a763)) | (~c1_1(a763)))),
% 1.22/1.13 inference(transitivity,[status(thm)],[3081, 3079])).
% 1.22/1.13 tff(3083,plain,
% 1.22/1.13 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | (~ndr1_0) | c2_1(a763) | (~c1_1(a763)) | (~c0_1(a763)) | c3_1(a741) | c0_1(a741) | (~c1_1(a741)))),
% 1.22/1.13 inference(quant_inst,[status(thm)],[])).
% 1.22/1.13 tff(3084,plain,
% 1.22/1.13 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp13 | c3_1(a741) | c2_1(a763) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c0_1(a763)) | (~c1_1(a763))),
% 1.22/1.13 inference(modus_ponens,[status(thm)],[3083, 3082])).
% 1.22/1.13 tff(3085,plain,
% 1.22/1.13 (hskp13),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3084, 116, 3078, 3067, 2486, 2318, 3056, 198, 32])).
% 1.22/1.13 tff(3086,plain,
% 1.22/1.13 (c3_1(a759)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[969, 3085])).
% 1.22/1.13 tff(3087,plain,
% 1.22/1.13 (~c1_1(a759)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[957, 3085])).
% 1.22/1.13 tff(3088,plain,
% 1.22/1.13 (c2_1(a759)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[980, 3085])).
% 1.22/1.13 tff(3089,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | c3_1(a741) | c1_1(a759) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a759)) | c0_1(a759))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c3_1(a741) | c1_1(a759) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a759)) | c0_1(a759))),
% 1.22/1.13 inference(rewrite,[status(thm)],[])).
% 1.22/1.13 tff(3090,plain,
% 1.22/1.13 ((hskp7 | (~ndr1_0) | c0_1(a741) | c3_1(a741) | (~c2_1(a741)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759))) <=> (hskp7 | c3_1(a741) | c1_1(a759) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a759)) | c0_1(a759))),
% 1.22/1.13 inference(rewrite,[status(thm)],[])).
% 1.22/1.13 tff(3091,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a741) | c3_1(a741) | (~c2_1(a741)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | c3_1(a741) | c1_1(a759) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a759)) | c0_1(a759)))),
% 1.22/1.13 inference(monotonicity,[status(thm)],[3090])).
% 1.22/1.13 tff(3092,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a741) | c3_1(a741) | (~c2_1(a741)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c3_1(a741) | c1_1(a759) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a759)) | c0_1(a759))),
% 1.22/1.13 inference(transitivity,[status(thm)],[3091, 3089])).
% 1.22/1.13 tff(3093,plain,
% 1.22/1.13 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a741) | c3_1(a741) | (~c2_1(a741)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))),
% 1.22/1.13 inference(quant_inst,[status(thm)],[])).
% 1.22/1.13 tff(3094,plain,
% 1.22/1.13 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c3_1(a741) | c1_1(a759) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | (~c3_1(a759)) | c0_1(a759)),
% 1.22/1.13 inference(modus_ponens,[status(thm)],[3093, 3092])).
% 1.22/1.13 tff(3095,plain,
% 1.22/1.13 (c0_1(a759)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3094, 116, 2489, 3086, 2318, 3087, 198, 1362, 2968])).
% 1.22/1.13 tff(3096,plain,
% 1.22/1.13 (hskp5),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[1862, 3095, 3088, 3087, 3086])).
% 1.22/1.13 tff(3097,plain,
% 1.22/1.13 (c2_1(a735)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[454, 3096])).
% 1.22/1.13 tff(3098,plain,
% 1.22/1.13 (c3_1(a735)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[443, 3096])).
% 1.22/1.13 tff(3099,plain,
% 1.22/1.13 (~c0_1(a735)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[460, 3096])).
% 1.22/1.13 tff(3100,plain,
% 1.22/1.13 ($false),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[554, 3099, 3098, 3002, 2990, 2991, 2989, 3097])).
% 1.22/1.13 tff(3101,plain,(c3_1(a741) | c0_1(a741) | hskp11 | c3_1(a734) | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.22/1.13 tff(3102,plain,
% 1.22/1.13 (c3_1(a741)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3101, 198, 21, 33, 22])).
% 1.22/1.13 tff(3103,plain,
% 1.22/1.13 ((~c3_1(a741)) | c0_1(a731)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[247, 116, 2486, 2961, 2960, 198, 2959, 133])).
% 1.22/1.13 tff(3104,plain,
% 1.22/1.13 (c0_1(a731)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3103, 3102])).
% 1.22/1.13 tff(3105,plain,
% 1.22/1.13 (hskp5),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[2908, 3102, 2486, 198])).
% 1.22/1.13 tff(3106,plain,
% 1.22/1.13 (~c0_1(a735)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[460, 3105])).
% 1.22/1.13 tff(3107,plain,
% 1.22/1.13 (hskp13 | (~c0_1(a731))),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[1988, 116, 1101, 2961, 22, 33, 2959, 32])).
% 1.22/1.13 tff(3108,plain,
% 1.22/1.13 (hskp13),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3107, 3104])).
% 1.22/1.13 tff(3109,plain,
% 1.22/1.13 (~c1_1(a759)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[957, 3108])).
% 1.22/1.13 tff(3110,plain,
% 1.22/1.13 (c3_1(a735)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[443, 3105])).
% 1.22/1.13 tff(3111,plain,
% 1.22/1.13 (c2_1(a735)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[454, 3105])).
% 1.22/1.13 tff(3112,plain,
% 1.22/1.13 (c3_1(a759)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[969, 3108])).
% 1.22/1.13 tff(3113,plain,
% 1.22/1.13 (c2_1(a759)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[980, 3108])).
% 1.22/1.13 tff(3114,plain,
% 1.22/1.13 ($false),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[1871, 116, 3113, 3112, 3111, 3110, 2960, 3109, 3106, 2959, 494, 3104])).
% 1.22/1.13 tff(3115,plain,(c0_1(a741) | c0_1(a734) | c3_1(a734) | hskp11), inference(lemma,lemma(discharge,[]))).
% 1.22/1.13 tff(3116,plain,
% 1.22/1.13 (c0_1(a741)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3115, 33, 22, 21])).
% 1.22/1.13 tff(3117,plain,
% 1.22/1.13 (~hskp7),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[184, 3116])).
% 1.22/1.13 tff(3118,plain,
% 1.22/1.13 (hskp12),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[2278, 3117, 33])).
% 1.22/1.13 tff(3119,plain,
% 1.22/1.13 (~c3_1(a755)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[2284, 3118])).
% 1.22/1.13 tff(3120,plain,
% 1.22/1.13 (c2_1(a755)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[2295, 3118])).
% 1.22/1.13 tff(3121,plain,
% 1.22/1.13 (c1_1(a755)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[2306, 3118])).
% 1.22/1.13 tff(3122,plain,
% 1.22/1.13 (hskp27),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[2313, 116, 21, 3121, 3120, 3119, 604])).
% 1.22/1.13 tff(3123,plain,
% 1.22/1.13 (c0_1(a750)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[776, 3122])).
% 1.22/1.13 tff(3124,plain,
% 1.22/1.13 (c2_1(a750)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[787, 3122])).
% 1.22/1.13 tff(3125,plain,
% 1.22/1.13 (c1_1(a750)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[798, 3122])).
% 1.22/1.13 tff(3126,plain,
% 1.22/1.13 (~hskp10),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[2514, 2488, 3121, 3119, 279, 2487, 1112, 3123, 3125, 3124, 3120])).
% 1.22/1.13 tff(3127,assumption,(hskp5), introduced(assumption)).
% 1.22/1.13 tff(3128,plain,
% 1.22/1.13 (~c0_1(a735)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[460, 3127])).
% 1.22/1.13 tff(3129,plain,
% 1.22/1.13 (c3_1(a735)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[443, 3127])).
% 1.22/1.13 tff(3130,plain,
% 1.22/1.13 (c2_1(a735)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[454, 3127])).
% 1.22/1.13 tff(3131,plain,
% 1.22/1.13 (c2_1(a734)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[1287, 116, 2937, 3130, 3129, 1102, 3128, 22, 1066])).
% 1.22/1.13 tff(3132,plain,
% 1.22/1.13 (hskp0),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[1110, 279, 1102, 33, 22])).
% 1.22/1.13 tff(3133,plain,
% 1.22/1.13 (~c1_1(a730)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[411, 3132])).
% 1.22/1.13 tff(3134,plain,
% 1.22/1.13 (c3_1(a730)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[471, 3132])).
% 1.22/1.13 tff(3135,plain,
% 1.22/1.13 (c0_1(a730)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[482, 3132])).
% 1.22/1.13 tff(3136,plain,
% 1.22/1.13 (~c2_1(a730)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[554, 3128, 3135, 3134, 3129, 3133, 3130])).
% 1.22/1.13 tff(3137,plain,
% 1.22/1.13 (hskp2),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[585, 3128, 279, 3135, 3133, 3130, 3136, 3129])).
% 1.22/1.13 tff(3138,plain,
% 1.22/1.13 (~c2_1(a732)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[306, 3137])).
% 1.22/1.13 tff(3139,plain,
% 1.22/1.13 (~c0_1(a732)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[312, 3137])).
% 1.22/1.13 tff(3140,plain,
% 1.22/1.13 (~c1_1(a732)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[2415, 116, 2937, 3130, 3129, 3128, 3139, 3138, 1066])).
% 1.22/1.13 tff(3141,plain,
% 1.22/1.13 (c1_1(a732) | (~c2_1(a734))),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[1054, 116, 810, 880, 879, 22, 33, 3139, 3138, 1048])).
% 1.22/1.13 tff(3142,plain,
% 1.22/1.13 ($false),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3141, 3140, 3131])).
% 1.22/1.13 tff(3143,plain,((~hskp5) | (~c0_1(a750)) | (~c1_1(a750)) | (~c2_1(a750)) | c0_1(a734) | c3_1(a734) | hskp10 | (~c1_1(a734)) | hskp1), inference(lemma,lemma(discharge,[]))).
% 1.22/1.13 tff(3144,plain,
% 1.22/1.13 (~hskp5),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3143, 3126, 3125, 3124, 22, 33, 3123, 1101, 279])).
% 1.22/1.13 tff(3145,plain,
% 1.22/1.13 (c2_1(a734)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[1273, 3144, 33, 1101])).
% 1.22/1.13 tff(3146,plain,
% 1.22/1.13 (c3_1(a744)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[737, 2153])).
% 1.22/1.13 tff(3147,plain,
% 1.22/1.13 ($false),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[1368, 116, 1125, 3146, 2154, 2155, 22, 33, 1362, 1632])).
% 1.22/1.13 tff(3148,plain,((~hskp8) | hskp7 | c0_1(a734) | c3_1(a734) | (~c2_1(a734))), inference(lemma,lemma(discharge,[]))).
% 1.22/1.13 tff(3149,plain,
% 1.22/1.13 (~hskp8),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3148, 3145, 22, 33, 3117])).
% 1.22/1.13 tff(3150,plain,
% 1.22/1.13 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a746) | c2_1(a746) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a746))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a746) | c2_1(a746) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a746))),
% 1.22/1.13 inference(rewrite,[status(thm)],[])).
% 1.22/1.13 tff(3151,plain,
% 1.22/1.13 (((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)) | c2_1(a746) | c1_1(a746) | c0_1(a746)) <=> (c0_1(a746) | c2_1(a746) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a746))),
% 1.22/1.13 inference(rewrite,[status(thm)],[])).
% 1.22/1.13 tff(3152,plain,
% 1.22/1.13 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)) | c2_1(a746) | c1_1(a746) | c0_1(a746))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a746) | c2_1(a746) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a746)))),
% 1.22/1.13 inference(monotonicity,[status(thm)],[3151])).
% 1.22/1.13 tff(3153,plain,
% 1.22/1.13 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)) | c2_1(a746) | c1_1(a746) | c0_1(a746))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a746) | c2_1(a746) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a746))),
% 1.22/1.13 inference(transitivity,[status(thm)],[3152, 3150])).
% 1.22/1.13 tff(3154,plain,
% 1.22/1.13 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a750)) | (~c1_1(a750)) | (~c0_1(a750)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)) | c2_1(a746) | c1_1(a746) | c0_1(a746))),
% 1.22/1.13 inference(quant_inst,[status(thm)],[])).
% 1.22/1.13 tff(3155,plain,
% 1.22/1.13 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a746) | c2_1(a746) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c0_1(a750)) | (~c2_1(a750)) | (~c1_1(a750)) | c1_1(a746)),
% 1.22/1.13 inference(modus_ponens,[status(thm)],[3154, 3153])).
% 1.22/1.13 tff(3156,plain,
% 1.22/1.13 ($false),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3155, 116, 810, 880, 879, 1147, 1146, 22, 33, 1048, 1632, 2806])).
% 1.22/1.13 tff(3157,plain,((~hskp9) | (~c0_1(a750)) | (~c1_1(a750)) | (~c2_1(a750)) | c0_1(a734) | c3_1(a734) | (~c2_1(a734))), inference(lemma,lemma(discharge,[]))).
% 1.22/1.13 tff(3158,plain,
% 1.22/1.13 (~hskp9),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3157, 3145, 3125, 3124, 22, 33, 3123])).
% 1.22/1.13 tff(3159,plain,
% 1.22/1.13 (~hskp18),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[1947, 3158, 279, 3149, 22, 33, 3145])).
% 1.22/1.13 tff(3160,plain,
% 1.22/1.13 (hskp18 | c3_1(a750)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[1721, 116, 21, 3123, 3125, 1171])).
% 1.22/1.13 tff(3161,plain,
% 1.22/1.13 (c3_1(a750)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3160, 3159])).
% 1.22/1.13 tff(3162,plain,
% 1.22/1.13 (hskp16 | (~c2_1(a734)) | (~c3_1(a750))),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[2064, 116, 3123, 3124, 1101, 22, 820])).
% 1.22/1.13 tff(3163,plain,
% 1.22/1.13 (hskp16),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3162, 3161, 3145])).
% 1.22/1.13 tff(3164,plain,
% 1.22/1.13 (~c3_1(a764)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[866, 3163])).
% 1.22/1.13 tff(3165,plain,
% 1.22/1.13 (c0_1(a764)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[890, 3163])).
% 1.22/1.13 tff(3166,plain,
% 1.22/1.13 (~c1_1(a764)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[1702, 116, 279, 3123, 3124, 3165, 3164, 809, 3161])).
% 1.22/1.13 tff(3167,plain,
% 1.22/1.13 (c2_1(a764)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[877, 3163])).
% 1.22/1.13 tff(3168,plain,
% 1.22/1.13 ($false),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[1710, 116, 3144, 3167, 2488, 2487, 3164, 1112, 1555, 3166])).
% 1.22/1.13 tff(3169,plain,(hskp1 | c0_1(a734) | hskp11 | c3_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.22/1.13 tff(3170,plain,
% 1.22/1.13 (hskp1),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3169, 33, 21, 22])).
% 1.22/1.13 tff(3171,plain,
% 1.22/1.13 (~c2_1(a731)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[61, 3170])).
% 1.22/1.13 tff(3172,plain,
% 1.22/1.13 (c3_1(a731)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[72, 3170])).
% 1.22/1.13 tff(3173,plain,
% 1.22/1.13 (c1_1(a731)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[83, 3170])).
% 1.22/1.13 tff(3174,plain,
% 1.22/1.13 (c2_1(a734)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[2483, 116, 21, 1101, 3173, 3172, 22, 3171, 43])).
% 1.22/1.13 tff(3175,plain,
% 1.22/1.13 (~hskp8),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3148, 3174, 22, 33, 3117])).
% 1.22/1.13 tff(3176,plain,
% 1.22/1.13 (hskp0),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[1278, 3175])).
% 1.22/1.13 tff(3177,plain,
% 1.22/1.13 (~c1_1(a730)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[411, 3176])).
% 1.22/1.13 tff(3178,plain,
% 1.22/1.13 (c3_1(a730)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[471, 3176])).
% 1.22/1.13 tff(3179,plain,
% 1.22/1.13 (c2_1(a730)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[2006, 116, 21, 3173, 3172, 3178, 3171, 3177, 387])).
% 1.22/1.13 tff(3180,plain,
% 1.22/1.13 (c0_1(a730)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[482, 3176])).
% 1.22/1.13 tff(3181,plain,
% 1.22/1.13 (hskp28 | (~c2_1(a730))),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3008, 116, 21, 3180, 3178, 3001])).
% 1.22/1.13 tff(3182,plain,
% 1.22/1.13 (hskp28),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3181, 3179])).
% 1.22/1.13 tff(3183,plain,
% 1.22/1.13 (c3_1(a784)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3020, 3182])).
% 1.22/1.13 tff(3184,plain,
% 1.22/1.13 (c1_1(a784)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3031, 3182])).
% 1.22/1.13 tff(3185,plain,
% 1.22/1.13 (c0_1(a784)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3042, 3182])).
% 1.22/1.13 tff(3186,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp15 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a784)) | (~c3_1(a784)) | (~c0_1(a784)))) <=> ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp15 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a784)) | (~c3_1(a784)) | (~c0_1(a784)))),
% 1.22/1.13 inference(rewrite,[status(thm)],[])).
% 1.22/1.13 tff(3187,plain,
% 1.22/1.13 ((hskp15 | (~ndr1_0) | (~c3_1(a784)) | (~c1_1(a784)) | (~c0_1(a784)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734))) <=> (hskp15 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a784)) | (~c3_1(a784)) | (~c0_1(a784)))),
% 1.22/1.13 inference(rewrite,[status(thm)],[])).
% 1.22/1.13 tff(3188,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp15 | (~ndr1_0) | (~c3_1(a784)) | (~c1_1(a784)) | (~c0_1(a784)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp15 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a784)) | (~c3_1(a784)) | (~c0_1(a784))))),
% 1.22/1.13 inference(monotonicity,[status(thm)],[3187])).
% 1.22/1.13 tff(3189,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp15 | (~ndr1_0) | (~c3_1(a784)) | (~c1_1(a784)) | (~c0_1(a784)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp15 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a784)) | (~c3_1(a784)) | (~c0_1(a784)))),
% 1.22/1.13 inference(transitivity,[status(thm)],[3188, 3186])).
% 1.22/1.13 tff(3190,plain,
% 1.22/1.13 ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp15 | (~ndr1_0) | (~c3_1(a784)) | (~c1_1(a784)) | (~c0_1(a784)) | c3_1(a734) | c0_1(a734) | (~c2_1(a734)))),
% 1.22/1.13 inference(quant_inst,[status(thm)],[])).
% 1.22/1.13 tff(3191,plain,
% 1.22/1.13 ((~![V: $i, U: $i] : (hskp15 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp15 | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a784)) | (~c3_1(a784)) | (~c0_1(a784))),
% 1.22/1.13 inference(modus_ponens,[status(thm)],[3190, 3189])).
% 1.22/1.13 tff(3192,plain,
% 1.22/1.13 (hskp15),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3191, 116, 3185, 3184, 3183, 22, 33, 2978, 3174])).
% 1.22/1.13 tff(3193,plain,
% 1.22/1.13 (~c2_1(a763)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3055, 3192])).
% 1.22/1.13 tff(3194,plain,
% 1.22/1.13 (c1_1(a763)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3066, 3192])).
% 1.22/1.13 tff(3195,plain,
% 1.22/1.13 (c0_1(a763)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3077, 3192])).
% 1.22/1.13 tff(3196,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | c2_1(a763) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734)) | (~c0_1(a763)) | (~c1_1(a763)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp13 | c2_1(a763) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734)) | (~c0_1(a763)) | (~c1_1(a763)))),
% 1.22/1.13 inference(rewrite,[status(thm)],[])).
% 1.22/1.13 tff(3197,plain,
% 1.22/1.13 ((hskp13 | (~ndr1_0) | c2_1(a763) | (~c1_1(a763)) | (~c0_1(a763)) | c3_1(a734) | c0_1(a734) | (~c1_1(a734))) <=> (hskp13 | c2_1(a763) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734)) | (~c0_1(a763)) | (~c1_1(a763)))),
% 1.22/1.13 inference(rewrite,[status(thm)],[])).
% 1.22/1.13 tff(3198,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | (~ndr1_0) | c2_1(a763) | (~c1_1(a763)) | (~c0_1(a763)) | c3_1(a734) | c0_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | c2_1(a763) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734)) | (~c0_1(a763)) | (~c1_1(a763))))),
% 1.22/1.13 inference(monotonicity,[status(thm)],[3197])).
% 1.22/1.13 tff(3199,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | (~ndr1_0) | c2_1(a763) | (~c1_1(a763)) | (~c0_1(a763)) | c3_1(a734) | c0_1(a734) | (~c1_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp13 | c2_1(a763) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734)) | (~c0_1(a763)) | (~c1_1(a763)))),
% 1.22/1.13 inference(transitivity,[status(thm)],[3198, 3196])).
% 1.22/1.13 tff(3200,plain,
% 1.22/1.13 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp13 | (~ndr1_0) | c2_1(a763) | (~c1_1(a763)) | (~c0_1(a763)) | c3_1(a734) | c0_1(a734) | (~c1_1(a734)))),
% 1.22/1.13 inference(quant_inst,[status(thm)],[])).
% 1.22/1.13 tff(3201,plain,
% 1.22/1.13 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)))) | hskp13 | c2_1(a763) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c1_1(a734)) | (~c0_1(a763)) | (~c1_1(a763))),
% 1.22/1.13 inference(modus_ponens,[status(thm)],[3200, 3199])).
% 1.22/1.13 tff(3202,plain,
% 1.22/1.13 (hskp13),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3201, 116, 3195, 3194, 1101, 3193, 22, 33, 32])).
% 1.22/1.13 tff(3203,plain,
% 1.22/1.13 (c3_1(a759)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[969, 3202])).
% 1.22/1.13 tff(3204,plain,
% 1.22/1.13 (~c1_1(a759)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[957, 3202])).
% 1.22/1.13 tff(3205,plain,
% 1.22/1.13 (c2_1(a759)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[980, 3202])).
% 1.22/1.13 tff(3206,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | c1_1(a759) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a759)) | c0_1(a759))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c1_1(a759) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a759)) | c0_1(a759))),
% 1.22/1.13 inference(rewrite,[status(thm)],[])).
% 1.22/1.13 tff(3207,plain,
% 1.22/1.13 ((hskp7 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759))) <=> (hskp7 | c1_1(a759) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a759)) | c0_1(a759))),
% 1.22/1.13 inference(rewrite,[status(thm)],[])).
% 1.22/1.13 tff(3208,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | c1_1(a759) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a759)) | c0_1(a759)))),
% 1.22/1.13 inference(monotonicity,[status(thm)],[3207])).
% 1.22/1.13 tff(3209,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c1_1(a759) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a759)) | c0_1(a759))),
% 1.22/1.13 inference(transitivity,[status(thm)],[3208, 3206])).
% 1.22/1.13 tff(3210,plain,
% 1.22/1.13 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c1_1(a759) | c0_1(a759) | (~c3_1(a759)))),
% 1.22/1.13 inference(quant_inst,[status(thm)],[])).
% 1.22/1.13 tff(3211,plain,
% 1.22/1.13 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c1_1(a759) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | (~c3_1(a759)) | c0_1(a759)),
% 1.22/1.13 inference(modus_ponens,[status(thm)],[3210, 3209])).
% 1.22/1.13 tff(3212,plain,
% 1.22/1.13 (c0_1(a759)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3211, 116, 3117, 3203, 3204, 22, 33, 1362, 3174])).
% 1.22/1.13 tff(3213,plain,
% 1.22/1.13 (hskp5),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[1862, 3212, 3205, 3204, 3203])).
% 1.22/1.13 tff(3214,plain,
% 1.22/1.13 (c2_1(a735)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[454, 3213])).
% 1.22/1.13 tff(3215,plain,
% 1.22/1.13 (c3_1(a735)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[443, 3213])).
% 1.22/1.13 tff(3216,plain,
% 1.22/1.13 (~c0_1(a735)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[460, 3213])).
% 1.22/1.13 tff(3217,plain,
% 1.22/1.13 ($false),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[554, 3216, 3215, 3180, 3178, 3179, 3177, 3214])).
% 1.22/1.13 tff(3218,plain,(c3_1(a734) | c0_1(a734) | hskp11), inference(lemma,lemma(discharge,[]))).
% 1.22/1.13 tff(3219,plain,
% 1.22/1.13 (c3_1(a734)),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[3218, 22, 21])).
% 1.22/1.13 tff(3220,plain,
% 1.22/1.13 (~hskp4),
% 1.22/1.13 inference(unit_resolution,[status(thm)],[2859, 3219])).
% 1.22/1.13 tff(3221,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a744) | (~c3_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a744) | (~c3_1(a744)))),
% 1.22/1.13 inference(rewrite,[status(thm)],[])).
% 1.22/1.13 tff(3222,plain,
% 1.22/1.13 ((hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c1_1(a744) | c2_1(a744) | (~c3_1(a744))) <=> (hskp11 | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a744) | (~c3_1(a744)))),
% 1.22/1.13 inference(rewrite,[status(thm)],[])).
% 1.22/1.13 tff(3223,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c1_1(a744) | c2_1(a744) | (~c3_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a744) | (~c3_1(a744))))),
% 1.22/1.13 inference(monotonicity,[status(thm)],[3222])).
% 1.22/1.13 tff(3224,plain,
% 1.22/1.13 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c1_1(a744) | c2_1(a744) | (~c3_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a744) | (~c3_1(a744)))),
% 1.22/1.13 inference(transitivity,[status(thm)],[3223, 3221])).
% 1.22/1.13 tff(3225,plain,
% 1.22/1.13 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a731) | (~c3_1(a731)) | (~c1_1(a731)) | c1_1(a744) | c2_1(a744) | (~c3_1(a744)))),
% 1.22/1.14 inference(quant_inst,[status(thm)],[])).
% 1.22/1.14 tff(3226,plain,
% 1.22/1.14 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c1_1(a744) | c2_1(a731) | (~ndr1_0) | (~c3_1(a731)) | (~c1_1(a731)) | c2_1(a744) | (~c3_1(a744))),
% 1.22/1.14 inference(modus_ponens,[status(thm)],[3225, 3224])).
% 1.22/1.14 tff(3227,plain,
% 1.22/1.14 (c2_1(a744)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3226, 116, 21, 1389, 2131, 2234, 2535, 1129, 387])).
% 1.22/1.14 tff(3228,plain,
% 1.22/1.14 (c0_1(a731)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[1410, 241, 116, 2131, 2536, 2535, 1129, 278, 3227])).
% 1.22/1.14 tff(3229,plain,
% 1.22/1.14 ((~c0_1(a731)) | (~c2_1(a744))),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[1215, 116, 1389, 2234, 2536, 2535, 1129, 494])).
% 1.22/1.14 tff(3230,plain,
% 1.22/1.14 ($false),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3229, 3228, 3227])).
% 1.22/1.14 tff(3231,plain,(hskp0 | (~c3_1(a731)) | c2_1(a731) | (~c1_1(a731)) | hskp11), inference(lemma,lemma(discharge,[]))).
% 1.22/1.14 tff(3232,plain,
% 1.22/1.14 (hskp0),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3231, 73, 62, 84, 21])).
% 1.22/1.14 tff(3233,plain,
% 1.22/1.14 (c0_1(a730)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[482, 3232])).
% 1.22/1.14 tff(3234,plain,
% 1.22/1.14 (c3_1(a730)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[471, 3232])).
% 1.22/1.14 tff(3235,plain,
% 1.22/1.14 (~c1_1(a730)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[411, 3232])).
% 1.22/1.14 tff(3236,plain,
% 1.22/1.14 (hskp5),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[2851, 3235, 187, 73, 84, 3234, 3233, 62])).
% 1.22/1.14 tff(3237,plain,
% 1.22/1.14 (c2_1(a735)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[454, 3236])).
% 1.22/1.14 tff(3238,plain,
% 1.22/1.14 (~c0_1(a735)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[460, 3236])).
% 1.22/1.14 tff(3239,plain,
% 1.22/1.14 (c3_1(a735)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[443, 3236])).
% 1.22/1.14 tff(3240,plain,
% 1.22/1.14 (~c2_1(a730)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[554, 3239, 3234, 3238, 3233, 3235, 3237])).
% 1.22/1.14 tff(3241,plain,
% 1.22/1.14 ($false),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[2006, 116, 21, 84, 73, 3234, 62, 3235, 387, 3240])).
% 1.22/1.14 tff(3242,plain,((~hskp1) | hskp11 | hskp4), inference(lemma,lemma(discharge,[]))).
% 1.22/1.14 tff(3243,plain,
% 1.22/1.14 (~hskp1),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3242, 3220, 21])).
% 1.22/1.14 tff(3244,plain,
% 1.22/1.14 (hskp7),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[156, 3243, 3220])).
% 1.22/1.14 tff(3245,plain,
% 1.22/1.14 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | c0_1(a744) | c1_1(a744) | (~ndr1_0) | c2_1(a744))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c0_1(a744) | c1_1(a744) | (~ndr1_0) | c2_1(a744))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3246,plain,
% 1.22/1.14 ((hskp0 | hskp1 | (~ndr1_0) | c2_1(a744) | c1_1(a744) | c0_1(a744)) <=> (hskp0 | hskp1 | c0_1(a744) | c1_1(a744) | (~ndr1_0) | c2_1(a744))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3247,plain,
% 1.22/1.14 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a744) | c1_1(a744) | c0_1(a744))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | c0_1(a744) | c1_1(a744) | (~ndr1_0) | c2_1(a744)))),
% 1.22/1.14 inference(monotonicity,[status(thm)],[3246])).
% 1.22/1.14 tff(3248,plain,
% 1.22/1.14 (((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a744) | c1_1(a744) | c0_1(a744))) <=> ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c0_1(a744) | c1_1(a744) | (~ndr1_0) | c2_1(a744))),
% 1.22/1.14 inference(transitivity,[status(thm)],[3247, 3245])).
% 1.22/1.14 tff(3249,plain,
% 1.22/1.14 ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | (hskp0 | hskp1 | (~ndr1_0) | c2_1(a744) | c1_1(a744) | c0_1(a744))),
% 1.22/1.14 inference(quant_inst,[status(thm)],[])).
% 1.22/1.14 tff(3250,plain,
% 1.22/1.14 ((~![U: $i] : (hskp0 | hskp1 | (~ndr1_0) | c2_1(U) | c1_1(U) | c0_1(U))) | hskp0 | hskp1 | c0_1(a744) | c1_1(a744) | (~ndr1_0) | c2_1(a744)),
% 1.22/1.14 inference(modus_ponens,[status(thm)],[3249, 3248])).
% 1.22/1.14 tff(3251,plain,
% 1.22/1.14 (c2_1(a744)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3250, 241, 116, 279, 2536, 2535, 260])).
% 1.22/1.14 tff(3252,plain,
% 1.22/1.14 (hskp2 | (~c2_1(a744))),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[1532, 116, 279, 2536, 2535, 290])).
% 1.22/1.14 tff(3253,plain,
% 1.22/1.14 (hskp2),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3252, 3251])).
% 1.22/1.14 tff(3254,plain,
% 1.22/1.14 (~c2_1(a732)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[306, 3253])).
% 1.22/1.14 tff(3255,plain,
% 1.22/1.14 (~c0_1(a732)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[312, 3253])).
% 1.22/1.14 tff(3256,plain,
% 1.22/1.14 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | c0_1(a744) | c1_1(a744) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c2_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp0 | c0_1(a744) | c1_1(a744) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c2_1(a744)))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3257,plain,
% 1.22/1.14 ((hskp0 | (~ndr1_0) | c2_1(a732) | c0_1(a732) | (~c1_1(a732)) | c1_1(a744) | c0_1(a744) | (~c2_1(a744))) <=> (hskp0 | c0_1(a744) | c1_1(a744) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c2_1(a744)))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3258,plain,
% 1.22/1.14 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a732) | c0_1(a732) | (~c1_1(a732)) | c1_1(a744) | c0_1(a744) | (~c2_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | c0_1(a744) | c1_1(a744) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c2_1(a744))))),
% 1.22/1.14 inference(monotonicity,[status(thm)],[3257])).
% 1.22/1.14 tff(3259,plain,
% 1.22/1.14 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a732) | c0_1(a732) | (~c1_1(a732)) | c1_1(a744) | c0_1(a744) | (~c2_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp0 | c0_1(a744) | c1_1(a744) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c2_1(a744)))),
% 1.22/1.14 inference(transitivity,[status(thm)],[3258, 3256])).
% 1.22/1.14 tff(3260,plain,
% 1.22/1.14 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp0 | (~ndr1_0) | c2_1(a732) | c0_1(a732) | (~c1_1(a732)) | c1_1(a744) | c0_1(a744) | (~c2_1(a744)))),
% 1.22/1.14 inference(quant_inst,[status(thm)],[])).
% 1.22/1.14 tff(3261,plain,
% 1.22/1.14 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)) | c1_1(V) | c0_1(V) | (~c2_1(V)))) | hskp0 | c0_1(a744) | c1_1(a744) | c0_1(a732) | c2_1(a732) | (~ndr1_0) | (~c1_1(a732)) | (~c2_1(a744))),
% 1.22/1.14 inference(modus_ponens,[status(thm)],[3260, 3259])).
% 1.22/1.14 tff(3262,plain,
% 1.22/1.14 (~c1_1(a732)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3261, 241, 116, 2536, 2535, 3255, 3254, 278, 3251])).
% 1.22/1.14 tff(3263,plain,
% 1.22/1.14 ($false),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[326, 241, 116, 279, 3255, 3254, 260, 3262])).
% 1.22/1.14 tff(3264,plain,(hskp0 | hskp1), inference(lemma,lemma(discharge,[]))).
% 1.22/1.14 tff(3265,plain,
% 1.22/1.14 (hskp0),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3264, 279])).
% 1.22/1.14 tff(3266,plain,
% 1.22/1.14 (~c1_1(a730)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[411, 3265])).
% 1.22/1.14 tff(3267,plain,
% 1.22/1.14 (hskp7),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[156, 279, 3220])).
% 1.22/1.14 tff(3268,plain,
% 1.22/1.14 (c1_1(a741)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[167, 3267])).
% 1.22/1.14 tff(3269,plain,
% 1.22/1.14 (c3_1(a741)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[178, 3267])).
% 1.22/1.14 tff(3270,assumption,(c3_1(a734)), introduced(assumption)).
% 1.22/1.14 tff(3271,plain,
% 1.22/1.14 (~hskp4),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[2859, 3270])).
% 1.22/1.14 tff(3272,plain,
% 1.22/1.14 (~hskp2),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[2791, 3271, 423])).
% 1.22/1.14 tff(3273,plain,
% 1.22/1.14 (c1_1(a734) | (~c2_1(a734))),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[296, 116, 3272, 279, 22, 290])).
% 1.22/1.14 tff(3274,plain,
% 1.22/1.14 (~c2_1(a734)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3273, 44])).
% 1.22/1.14 tff(3275,plain,
% 1.22/1.14 (((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp6 | hskp4 | c0_1(a734) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734))) <=> ((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp6 | hskp4 | c0_1(a734) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3276,plain,
% 1.22/1.14 ((hskp6 | hskp4 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | (~c3_1(a734))) <=> (hskp6 | hskp4 | c0_1(a734) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3277,plain,
% 1.22/1.14 (((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp6 | hskp4 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | (~c3_1(a734)))) <=> ((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp6 | hskp4 | c0_1(a734) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734)))),
% 1.22/1.14 inference(monotonicity,[status(thm)],[3276])).
% 1.22/1.14 tff(3278,plain,
% 1.22/1.14 (((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp6 | hskp4 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | (~c3_1(a734)))) <=> ((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp6 | hskp4 | c0_1(a734) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734))),
% 1.22/1.14 inference(transitivity,[status(thm)],[3277, 3275])).
% 1.22/1.14 tff(3279,plain,
% 1.22/1.14 ((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp6 | hskp4 | (~ndr1_0) | c2_1(a734) | c0_1(a734) | (~c3_1(a734)))),
% 1.22/1.14 inference(quant_inst,[status(thm)],[])).
% 1.22/1.14 tff(3280,plain,
% 1.22/1.14 ((~![U: $i] : (hskp6 | hskp4 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp6 | hskp4 | c0_1(a734) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734)),
% 1.22/1.14 inference(modus_ponens,[status(thm)],[3279, 3278])).
% 1.22/1.14 tff(3281,plain,
% 1.22/1.14 (hskp6 | c0_1(a734) | c2_1(a734)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3280, 116, 3271, 3270, 197])).
% 1.22/1.14 tff(3282,plain,
% 1.22/1.14 (hskp6),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3281, 3274, 22])).
% 1.22/1.14 tff(3283,plain,
% 1.22/1.14 (~c2_1(a738)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[212, 3282])).
% 1.22/1.14 tff(3284,plain,
% 1.22/1.14 (c1_1(a738)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[229, 3282])).
% 1.22/1.14 tff(3285,plain,
% 1.22/1.14 (~hskp11),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[2773, 3271, 423])).
% 1.22/1.14 tff(3286,plain,
% 1.22/1.14 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c1_1(a734) | c2_1(a738) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734) | (~c3_1(a738)) | (~c1_1(a738)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c1_1(a734) | c2_1(a738) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734) | (~c3_1(a738)) | (~c1_1(a738)))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3287,plain,
% 1.22/1.14 ((hskp11 | (~ndr1_0) | c2_1(a738) | (~c3_1(a738)) | (~c1_1(a738)) | c1_1(a734) | c2_1(a734) | (~c3_1(a734))) <=> (hskp11 | c1_1(a734) | c2_1(a738) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734) | (~c3_1(a738)) | (~c1_1(a738)))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3288,plain,
% 1.22/1.14 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a738) | (~c3_1(a738)) | (~c1_1(a738)) | c1_1(a734) | c2_1(a734) | (~c3_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c1_1(a734) | c2_1(a738) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734) | (~c3_1(a738)) | (~c1_1(a738))))),
% 1.22/1.14 inference(monotonicity,[status(thm)],[3287])).
% 1.22/1.14 tff(3289,plain,
% 1.22/1.14 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a738) | (~c3_1(a738)) | (~c1_1(a738)) | c1_1(a734) | c2_1(a734) | (~c3_1(a734)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c1_1(a734) | c2_1(a738) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734) | (~c3_1(a738)) | (~c1_1(a738)))),
% 1.22/1.14 inference(transitivity,[status(thm)],[3288, 3286])).
% 1.22/1.14 tff(3290,plain,
% 1.22/1.14 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a738) | (~c3_1(a738)) | (~c1_1(a738)) | c1_1(a734) | c2_1(a734) | (~c3_1(a734)))),
% 1.22/1.14 inference(quant_inst,[status(thm)],[])).
% 1.22/1.14 tff(3291,plain,
% 1.22/1.14 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c1_1(a734) | c2_1(a738) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734) | (~c3_1(a738)) | (~c1_1(a738))),
% 1.22/1.14 inference(modus_ponens,[status(thm)],[3290, 3289])).
% 1.22/1.14 tff(3292,plain,
% 1.22/1.14 (~c3_1(a738)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3291, 116, 3285, 3284, 44, 3283, 3270, 387, 3274])).
% 1.22/1.14 tff(3293,plain,
% 1.22/1.14 (~c0_1(a738)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[218, 3282])).
% 1.22/1.14 tff(3294,plain,
% 1.22/1.14 (~hskp9),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[2832, 3271, 423])).
% 1.22/1.14 tff(3295,plain,
% 1.22/1.14 (((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c3_1(a738))) <=> ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | hskp9 | hskp5 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c3_1(a738))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3296,plain,
% 1.22/1.14 ((hskp9 | hskp5 | (~ndr1_0) | c2_1(a738) | c0_1(a738) | c3_1(a738)) <=> (hskp9 | hskp5 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c3_1(a738))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3297,plain,
% 1.22/1.14 (((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | (~ndr1_0) | c2_1(a738) | c0_1(a738) | c3_1(a738))) <=> ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c3_1(a738)))),
% 1.22/1.14 inference(monotonicity,[status(thm)],[3296])).
% 1.22/1.14 tff(3298,plain,
% 1.22/1.14 (((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | (~ndr1_0) | c2_1(a738) | c0_1(a738) | c3_1(a738))) <=> ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | hskp9 | hskp5 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c3_1(a738))),
% 1.22/1.14 inference(transitivity,[status(thm)],[3297, 3295])).
% 1.22/1.14 tff(3299,plain,
% 1.22/1.14 ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | (hskp9 | hskp5 | (~ndr1_0) | c2_1(a738) | c0_1(a738) | c3_1(a738))),
% 1.22/1.14 inference(quant_inst,[status(thm)],[])).
% 1.22/1.14 tff(3300,plain,
% 1.22/1.14 ((~![U: $i] : (hskp9 | hskp5 | (~ndr1_0) | c2_1(U) | c0_1(U) | c3_1(U))) | hskp9 | hskp5 | c0_1(a738) | c2_1(a738) | (~ndr1_0) | c3_1(a738)),
% 1.22/1.14 inference(modus_ponens,[status(thm)],[3299, 3298])).
% 1.22/1.14 tff(3301,plain,
% 1.22/1.14 ($false),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3300, 116, 3294, 423, 3293, 3283, 1181, 3292])).
% 1.22/1.14 tff(3302,plain,(c1_1(a734) | hskp5 | (~c3_1(a734)) | c0_1(a734) | hskp1), inference(lemma,lemma(discharge,[]))).
% 1.22/1.14 tff(3303,plain,
% 1.22/1.14 (c1_1(a734)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3302, 22, 2854, 423, 279])).
% 1.22/1.14 tff(3304,plain,
% 1.22/1.14 (hskp6),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3281, 1577, 22])).
% 1.22/1.14 tff(3305,plain,
% 1.22/1.14 (~c2_1(a738)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[212, 3304])).
% 1.22/1.14 tff(3306,plain,
% 1.22/1.14 (~c0_1(a738)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[218, 3304])).
% 1.22/1.14 tff(3307,plain,
% 1.22/1.14 (c1_1(a738)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[229, 3304])).
% 1.22/1.14 tff(3308,plain,
% 1.22/1.14 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | c0_1(a738) | c2_1(a738) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c1_1(a738)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c0_1(a738) | c2_1(a738) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c1_1(a738)))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3309,plain,
% 1.22/1.14 ((hskp11 | (~ndr1_0) | c2_1(a734) | (~c3_1(a734)) | (~c1_1(a734)) | c0_1(a738) | c2_1(a738) | (~c1_1(a738))) <=> (hskp11 | c0_1(a738) | c2_1(a738) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c1_1(a738)))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3310,plain,
% 1.22/1.14 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a734) | (~c3_1(a734)) | (~c1_1(a734)) | c0_1(a738) | c2_1(a738) | (~c1_1(a738)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | c0_1(a738) | c2_1(a738) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c1_1(a738))))),
% 1.22/1.14 inference(monotonicity,[status(thm)],[3309])).
% 1.22/1.14 tff(3311,plain,
% 1.22/1.14 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a734) | (~c3_1(a734)) | (~c1_1(a734)) | c0_1(a738) | c2_1(a738) | (~c1_1(a738)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c0_1(a738) | c2_1(a738) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c1_1(a738)))),
% 1.22/1.14 inference(transitivity,[status(thm)],[3310, 3308])).
% 1.22/1.14 tff(3312,plain,
% 1.22/1.14 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a734) | (~c3_1(a734)) | (~c1_1(a734)) | c0_1(a738) | c2_1(a738) | (~c1_1(a738)))),
% 1.22/1.14 inference(quant_inst,[status(thm)],[])).
% 1.22/1.14 tff(3313,plain,
% 1.22/1.14 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V) | (~c1_1(V)))) | hskp11 | c0_1(a738) | c2_1(a738) | (~c3_1(a734)) | (~ndr1_0) | c2_1(a734) | (~c1_1(a734)) | (~c1_1(a738))),
% 1.22/1.14 inference(modus_ponens,[status(thm)],[3312, 3311])).
% 1.22/1.14 tff(3314,plain,
% 1.22/1.14 ($false),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3313, 116, 21, 3307, 1102, 3306, 3305, 3270, 43, 1577])).
% 1.22/1.14 tff(3315,plain,(c2_1(a734) | hskp11 | (~c1_1(a734)) | (~c3_1(a734)) | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.22/1.14 tff(3316,plain,
% 1.22/1.14 (c2_1(a734)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3315, 3303, 2862, 2854, 22])).
% 1.22/1.14 tff(3317,plain,
% 1.22/1.14 (~hskp25),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[2390, 3316, 2570, 2569, 2568, 279, 22, 3303, 423])).
% 1.22/1.14 tff(3318,plain,
% 1.22/1.14 (~hskp9),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[2832, 2860, 423])).
% 1.22/1.14 tff(3319,plain,
% 1.22/1.14 (c3_1(a775) | (~c0_1(a775))),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[1761, 116, 1755, 1754, 2581, 1753])).
% 1.22/1.14 tff(3320,plain,
% 1.22/1.14 (~c0_1(a775)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3319, 2580])).
% 1.22/1.14 tff(3321,plain,
% 1.22/1.14 (c3_1(a775) | c0_1(a775)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[2232, 116, 1754, 423, 2581, 1181])).
% 1.22/1.14 tff(3322,plain,
% 1.22/1.14 ($false),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3321, 3320, 2580])).
% 1.22/1.14 tff(3323,plain,(c3_1(a775) | hskp9 | hskp5 | c2_1(a775) | hskp25), inference(lemma,lemma(discharge,[]))).
% 1.22/1.14 tff(3324,plain,
% 1.22/1.14 (c3_1(a775)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3323, 2581, 423, 3318, 1755])).
% 1.22/1.14 tff(3325,plain,
% 1.22/1.14 (c2_1(a734)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3315, 1102, 2862, 2854, 22])).
% 1.22/1.14 tff(3326,plain,
% 1.22/1.14 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c2_1(a775) | (~c3_1(a775)) | c0_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | c0_1(a775))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c2_1(a775) | (~c3_1(a775)) | c0_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | c0_1(a775))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3327,plain,
% 1.22/1.14 (((~ndr1_0) | (~c2_1(a734)) | (~c3_1(a734)) | (~c1_1(a734)) | c0_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c2_1(a775) | c0_1(a775) | (~c3_1(a775))) <=> (c2_1(a775) | (~c3_1(a775)) | c0_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | c0_1(a775))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3328,plain,
% 1.22/1.14 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a734)) | (~c3_1(a734)) | (~c1_1(a734)) | c0_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c2_1(a775) | c0_1(a775) | (~c3_1(a775)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c2_1(a775) | (~c3_1(a775)) | c0_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | c0_1(a775)))),
% 1.22/1.14 inference(monotonicity,[status(thm)],[3327])).
% 1.22/1.14 tff(3329,plain,
% 1.22/1.14 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a734)) | (~c3_1(a734)) | (~c1_1(a734)) | c0_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c2_1(a775) | c0_1(a775) | (~c3_1(a775)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c2_1(a775) | (~c3_1(a775)) | c0_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | c0_1(a775))),
% 1.22/1.14 inference(transitivity,[status(thm)],[3328, 3326])).
% 1.22/1.14 tff(3330,plain,
% 1.22/1.14 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a734)) | (~c3_1(a734)) | (~c1_1(a734)) | c0_1(a734) | (~c2_1(a734)) | (~c3_1(a734)) | c2_1(a775) | c0_1(a775) | (~c3_1(a775)))),
% 1.22/1.14 inference(quant_inst,[status(thm)],[])).
% 1.22/1.14 tff(3331,plain,
% 1.22/1.14 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c2_1(a775) | (~c3_1(a775)) | c0_1(a734) | (~c3_1(a734)) | (~ndr1_0) | (~c2_1(a734)) | (~c1_1(a734)) | c0_1(a775)),
% 1.22/1.14 inference(modus_ponens,[status(thm)],[3330, 3329])).
% 1.22/1.14 tff(3332,plain,
% 1.22/1.14 ((~c3_1(a775)) | c0_1(a775)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3331, 116, 1102, 2581, 22, 2854, 2648, 3325])).
% 1.22/1.14 tff(3333,plain,
% 1.22/1.14 (c0_1(a775)),
% 1.22/1.14 inference(unit_resolution,[status(thm)],[3332, 3324])).
% 1.22/1.14 tff(3334,plain,
% 1.22/1.14 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c1_1(a775) | c2_1(a775) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a775)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c1_1(a775) | c2_1(a775) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a775)))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3335,plain,
% 1.22/1.14 ((hskp2 | (~ndr1_0) | c2_1(a775) | c1_1(a775) | (~c0_1(a775)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741))) <=> (hskp2 | c1_1(a775) | c2_1(a775) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a775)))),
% 1.22/1.14 inference(rewrite,[status(thm)],[])).
% 1.22/1.14 tff(3336,plain,
% 1.22/1.14 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a775) | c1_1(a775) | (~c0_1(a775)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | c1_1(a775) | c2_1(a775) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a775))))),
% 1.22/1.14 inference(monotonicity,[status(thm)],[3335])).
% 1.22/1.14 tff(3337,plain,
% 1.22/1.14 (((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a775) | c1_1(a775) | (~c0_1(a775)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))) <=> ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c1_1(a775) | c2_1(a775) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a775)))),
% 1.22/1.14 inference(transitivity,[status(thm)],[3336, 3334])).
% 1.22/1.14 tff(3338,plain,
% 1.22/1.14 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp2 | (~ndr1_0) | c2_1(a775) | c1_1(a775) | (~c0_1(a775)) | c0_1(a741) | (~c3_1(a741)) | (~c1_1(a741)))),
% 1.29/1.15 inference(quant_inst,[status(thm)],[])).
% 1.29/1.15 tff(3339,plain,
% 1.29/1.15 ((~![V: $i, U: $i] : (hskp2 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp2 | c1_1(a775) | c2_1(a775) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c3_1(a741)) | (~c0_1(a775))),
% 1.29/1.15 inference(modus_ponens,[status(thm)],[3338, 3337])).
% 1.29/1.15 tff(3340,plain,
% 1.29/1.15 (c1_1(a775) | (~c0_1(a775))),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3339, 116, 2861, 231, 199, 2581, 198, 575])).
% 1.29/1.15 tff(3341,plain,
% 1.29/1.15 (c1_1(a775)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3340, 3333])).
% 1.29/1.15 tff(3342,plain,
% 1.29/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a775) | (~c3_1(a775)) | c0_1(a734) | (~c3_1(a734)) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)) | (~c0_1(a775)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a775) | (~c3_1(a775)) | c0_1(a734) | (~c3_1(a734)) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)) | (~c0_1(a775)))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3343,plain,
% 1.29/1.15 (((~ndr1_0) | c2_1(a775) | (~c3_1(a775)) | (~c0_1(a775)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a734) | (~c3_1(a734)) | (~c2_1(a734))) <=> (c2_1(a775) | (~c3_1(a775)) | c0_1(a734) | (~c3_1(a734)) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)) | (~c0_1(a775)))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3344,plain,
% 1.29/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a775) | (~c3_1(a775)) | (~c0_1(a775)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a734) | (~c3_1(a734)) | (~c2_1(a734)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a775) | (~c3_1(a775)) | c0_1(a734) | (~c3_1(a734)) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)) | (~c0_1(a775))))),
% 1.29/1.15 inference(monotonicity,[status(thm)],[3343])).
% 1.29/1.15 tff(3345,plain,
% 1.29/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a775) | (~c3_1(a775)) | (~c0_1(a775)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a734) | (~c3_1(a734)) | (~c2_1(a734)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a775) | (~c3_1(a775)) | c0_1(a734) | (~c3_1(a734)) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)) | (~c0_1(a775)))),
% 1.29/1.15 inference(transitivity,[status(thm)],[3344, 3342])).
% 1.29/1.15 tff(3346,plain,
% 1.29/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a775) | (~c3_1(a775)) | (~c0_1(a775)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a734) | (~c3_1(a734)) | (~c2_1(a734)))),
% 1.29/1.15 inference(quant_inst,[status(thm)],[])).
% 1.29/1.15 tff(3347,plain,
% 1.29/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a775) | (~c3_1(a775)) | c0_1(a734) | (~c3_1(a734)) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)) | (~c0_1(a775))),
% 1.29/1.15 inference(modus_ponens,[status(thm)],[3346, 3345])).
% 1.29/1.15 tff(3348,plain,
% 1.29/1.15 ((~c3_1(a775)) | (~c2_1(a730)) | (~c0_1(a775))),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3347, 116, 2569, 2581, 22, 2854, 2568, 494, 3325])).
% 1.29/1.15 tff(3349,plain,
% 1.29/1.15 (~c2_1(a730)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3348, 3333, 3324])).
% 1.29/1.15 tff(3350,plain,
% 1.29/1.15 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c2_1(a775) | (~c3_1(a775)) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c1_1(a775)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c2_1(a775) | (~c3_1(a775)) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c1_1(a775)))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3351,plain,
% 1.29/1.15 ((hskp11 | (~ndr1_0) | c2_1(a775) | (~c3_1(a775)) | (~c1_1(a775)) | c1_1(a730) | c2_1(a730) | (~c3_1(a730))) <=> (hskp11 | c2_1(a775) | (~c3_1(a775)) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c1_1(a775)))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3352,plain,
% 1.29/1.15 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a775) | (~c3_1(a775)) | (~c1_1(a775)) | c1_1(a730) | c2_1(a730) | (~c3_1(a730)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | c2_1(a775) | (~c3_1(a775)) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c1_1(a775))))),
% 1.29/1.15 inference(monotonicity,[status(thm)],[3351])).
% 1.29/1.15 tff(3353,plain,
% 1.29/1.15 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a775) | (~c3_1(a775)) | (~c1_1(a775)) | c1_1(a730) | c2_1(a730) | (~c3_1(a730)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c2_1(a775) | (~c3_1(a775)) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c1_1(a775)))),
% 1.29/1.15 inference(transitivity,[status(thm)],[3352, 3350])).
% 1.29/1.15 tff(3354,plain,
% 1.29/1.15 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a775) | (~c3_1(a775)) | (~c1_1(a775)) | c1_1(a730) | c2_1(a730) | (~c3_1(a730)))),
% 1.29/1.15 inference(quant_inst,[status(thm)],[])).
% 1.29/1.15 tff(3355,plain,
% 1.29/1.15 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))) | hskp11 | c2_1(a775) | (~c3_1(a775)) | c1_1(a730) | (~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c1_1(a775))),
% 1.29/1.15 inference(modus_ponens,[status(thm)],[3354, 3353])).
% 1.29/1.15 tff(3356,plain,
% 1.29/1.15 ((~c3_1(a775)) | c2_1(a730) | (~c1_1(a775))),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3355, 116, 2862, 2569, 2581, 2568, 387])).
% 1.29/1.15 tff(3357,plain,
% 1.29/1.15 ($false),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3356, 3349, 3341, 3324])).
% 1.29/1.15 tff(3358,plain,(c2_1(a775) | c0_1(a734) | (~c1_1(a741)) | (~c3_1(a741)) | c0_1(a741) | (~c1_1(a734)) | hskp5 | hskp25), inference(lemma,lemma(discharge,[]))).
% 1.29/1.15 tff(3359,plain,
% 1.29/1.15 (c2_1(a775)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3358, 22, 231, 199, 198, 3303, 423, 3317])).
% 1.29/1.15 tff(3360,plain,
% 1.29/1.15 (~hskp18),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[1735, 3359])).
% 1.29/1.15 tff(3361,plain,
% 1.29/1.15 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | c3_1(a777) | (~ndr1_0) | (~c2_1(a777)) | (~c1_1(a777)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp27 | hskp11 | c3_1(a777) | (~ndr1_0) | (~c2_1(a777)) | (~c1_1(a777)))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3362,plain,
% 1.29/1.15 ((hskp27 | hskp11 | (~ndr1_0) | c3_1(a777) | (~c2_1(a777)) | (~c1_1(a777))) <=> (hskp27 | hskp11 | c3_1(a777) | (~ndr1_0) | (~c2_1(a777)) | (~c1_1(a777)))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3363,plain,
% 1.29/1.15 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c3_1(a777) | (~c2_1(a777)) | (~c1_1(a777)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | c3_1(a777) | (~ndr1_0) | (~c2_1(a777)) | (~c1_1(a777))))),
% 1.29/1.15 inference(monotonicity,[status(thm)],[3362])).
% 1.29/1.15 tff(3364,plain,
% 1.29/1.15 (((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c3_1(a777) | (~c2_1(a777)) | (~c1_1(a777)))) <=> ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp27 | hskp11 | c3_1(a777) | (~ndr1_0) | (~c2_1(a777)) | (~c1_1(a777)))),
% 1.29/1.15 inference(transitivity,[status(thm)],[3363, 3361])).
% 1.29/1.15 tff(3365,plain,
% 1.29/1.15 ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | (hskp27 | hskp11 | (~ndr1_0) | c3_1(a777) | (~c2_1(a777)) | (~c1_1(a777)))),
% 1.29/1.15 inference(quant_inst,[status(thm)],[])).
% 1.29/1.15 tff(3366,plain,
% 1.29/1.15 ((~![U: $i] : (hskp27 | hskp11 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)))) | hskp27 | hskp11 | c3_1(a777) | (~ndr1_0) | (~c2_1(a777)) | (~c1_1(a777))),
% 1.29/1.15 inference(modus_ponens,[status(thm)],[3365, 3364])).
% 1.29/1.15 tff(3367,plain,
% 1.29/1.15 (~c1_1(a777)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3366, 116, 605, 21, 714, 697, 604])).
% 1.29/1.15 tff(3368,plain,
% 1.29/1.15 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | c0_1(a777) | (~ndr1_0) | c1_1(a777) | (~c2_1(a777)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp2 | hskp1 | c0_1(a777) | (~ndr1_0) | c1_1(a777) | (~c2_1(a777)))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3369,plain,
% 1.29/1.15 ((hskp2 | hskp1 | (~ndr1_0) | c1_1(a777) | c0_1(a777) | (~c2_1(a777))) <=> (hskp2 | hskp1 | c0_1(a777) | (~ndr1_0) | c1_1(a777) | (~c2_1(a777)))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3370,plain,
% 1.29/1.15 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | c1_1(a777) | c0_1(a777) | (~c2_1(a777)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | c0_1(a777) | (~ndr1_0) | c1_1(a777) | (~c2_1(a777))))),
% 1.29/1.15 inference(monotonicity,[status(thm)],[3369])).
% 1.29/1.15 tff(3371,plain,
% 1.29/1.15 (((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | c1_1(a777) | c0_1(a777) | (~c2_1(a777)))) <=> ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp2 | hskp1 | c0_1(a777) | (~ndr1_0) | c1_1(a777) | (~c2_1(a777)))),
% 1.29/1.15 inference(transitivity,[status(thm)],[3370, 3368])).
% 1.29/1.15 tff(3372,plain,
% 1.29/1.15 ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp2 | hskp1 | (~ndr1_0) | c1_1(a777) | c0_1(a777) | (~c2_1(a777)))),
% 1.29/1.15 inference(quant_inst,[status(thm)],[])).
% 1.29/1.15 tff(3373,plain,
% 1.29/1.15 ((~![U: $i] : (hskp2 | hskp1 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp2 | hskp1 | c0_1(a777) | (~ndr1_0) | c1_1(a777) | (~c2_1(a777))),
% 1.29/1.15 inference(modus_ponens,[status(thm)],[3372, 3371])).
% 1.29/1.15 tff(3374,plain,
% 1.29/1.15 ($false),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3373, 116, 280, 279, 714, 703, 290, 3367])).
% 1.29/1.15 tff(3375,plain,(hskp27 | hskp2 | hskp1 | hskp11 | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a730)), inference(lemma,lemma(discharge,[]))).
% 1.29/1.15 tff(3376,plain,
% 1.29/1.15 (hskp27),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3375, 279, 2861, 2862, 2570, 2569, 2568])).
% 1.29/1.15 tff(3377,plain,
% 1.29/1.15 (c1_1(a750)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[798, 3376])).
% 1.29/1.15 tff(3378,plain,
% 1.29/1.15 (c0_1(a750)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[776, 3376])).
% 1.29/1.15 tff(3379,plain,
% 1.29/1.15 (hskp18 | c3_1(a750)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[1721, 116, 2862, 3378, 3377, 1171])).
% 1.29/1.15 tff(3380,plain,
% 1.29/1.15 (c3_1(a750)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3379, 3360])).
% 1.29/1.15 tff(3381,plain,
% 1.29/1.15 (c2_1(a750)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[787, 3376])).
% 1.29/1.15 tff(3382,plain,
% 1.29/1.15 (((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp21 | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)))) <=> ((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | hskp21 | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3383,plain,
% 1.29/1.15 ((hskp21 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750))) <=> (hskp21 | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3384,plain,
% 1.29/1.15 (((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp21 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)))) <=> ((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp21 | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750))))),
% 1.29/1.15 inference(monotonicity,[status(thm)],[3383])).
% 1.29/1.15 tff(3385,plain,
% 1.29/1.15 (((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp21 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)))) <=> ((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | hskp21 | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750)))),
% 1.29/1.15 inference(transitivity,[status(thm)],[3384, 3382])).
% 1.29/1.15 tff(3386,plain,
% 1.29/1.15 ((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | (hskp21 | (~ndr1_0) | (~c2_1(a750)) | (~c3_1(a750)) | (~c0_1(a750)))),
% 1.29/1.15 inference(quant_inst,[status(thm)],[])).
% 1.29/1.15 tff(3387,plain,
% 1.29/1.15 ((~![U: $i] : (hskp21 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)))) | hskp21 | (~ndr1_0) | (~c3_1(a750)) | (~c0_1(a750)) | (~c2_1(a750))),
% 1.29/1.15 inference(modus_ponens,[status(thm)],[3386, 3385])).
% 1.29/1.15 tff(3388,plain,
% 1.29/1.15 (hskp21 | (~c3_1(a750))),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3387, 116, 3378, 3381, 506])).
% 1.29/1.15 tff(3389,plain,
% 1.29/1.15 (hskp21),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3388, 3380])).
% 1.29/1.15 tff(3390,plain,
% 1.29/1.15 (~c2_1(a793)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[521, 3389])).
% 1.29/1.15 tff(3391,plain,
% 1.29/1.15 (c3_1(a793)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[534, 3389])).
% 1.29/1.15 tff(3392,plain,
% 1.29/1.15 (c0_1(a793)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[545, 3389])).
% 1.29/1.15 tff(3393,plain,
% 1.29/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a793) | c0_1(a734) | (~c3_1(a734)) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)) | (~c3_1(a793)) | (~c0_1(a793)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a734) | (~c3_1(a734)) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3394,plain,
% 1.29/1.15 (((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a734) | (~c3_1(a734)) | (~c2_1(a734))) <=> (c2_1(a793) | c0_1(a734) | (~c3_1(a734)) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3395,plain,
% 1.29/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a734) | (~c3_1(a734)) | (~c2_1(a734)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c2_1(a793) | c0_1(a734) | (~c3_1(a734)) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)) | (~c3_1(a793)) | (~c0_1(a793))))),
% 1.29/1.15 inference(monotonicity,[status(thm)],[3394])).
% 1.29/1.15 tff(3396,plain,
% 1.29/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a734) | (~c3_1(a734)) | (~c2_1(a734)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a734) | (~c3_1(a734)) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)) | (~c3_1(a793)) | (~c0_1(a793)))),
% 1.29/1.15 inference(transitivity,[status(thm)],[3395, 3393])).
% 1.29/1.15 tff(3397,plain,
% 1.29/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a793) | (~c3_1(a793)) | (~c0_1(a793)) | c1_1(a730) | (~c2_1(a730)) | (~c3_1(a730)) | c0_1(a734) | (~c3_1(a734)) | (~c2_1(a734)))),
% 1.29/1.15 inference(quant_inst,[status(thm)],[])).
% 1.29/1.15 tff(3398,plain,
% 1.29/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c2_1(a793) | c0_1(a734) | (~c3_1(a734)) | c1_1(a730) | (~ndr1_0) | (~c2_1(a730)) | (~c3_1(a730)) | (~c2_1(a734)) | (~c3_1(a793)) | (~c0_1(a793))),
% 1.29/1.15 inference(modus_ponens,[status(thm)],[3397, 3396])).
% 1.29/1.15 tff(3399,plain,
% 1.29/1.15 (~c2_1(a730)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3398, 116, 3392, 3391, 2569, 3390, 22, 2854, 2568, 494, 3316])).
% 1.29/1.15 tff(3400,plain,
% 1.29/1.15 (~c1_1(a793)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[2886, 116, 2862, 3391, 2569, 3390, 2568, 387, 3399])).
% 1.29/1.15 tff(3401,plain,
% 1.29/1.15 ($false),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[2871, 116, 2861, 3392, 231, 199, 3390, 198, 575, 3400])).
% 1.29/1.15 tff(3402,plain,(c0_1(a734) | (~c1_1(a741)) | (~c3_1(a741)) | c0_1(a741) | hskp5 | hskp1), inference(lemma,lemma(discharge,[]))).
% 1.29/1.15 tff(3403,plain,
% 1.29/1.15 (hskp5),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3402, 3269, 198, 279, 22, 3268])).
% 1.29/1.15 tff(3404,plain,
% 1.29/1.15 (c3_1(a735)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[443, 3403])).
% 1.29/1.15 tff(3405,plain,
% 1.29/1.15 (~c0_1(a735)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[460, 3403])).
% 1.29/1.15 tff(3406,plain,
% 1.29/1.15 (c0_1(a730)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[482, 3265])).
% 1.29/1.15 tff(3407,plain,
% 1.29/1.15 (c2_1(a735)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[454, 3403])).
% 1.29/1.15 tff(3408,plain,
% 1.29/1.15 (c3_1(a730)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[471, 3265])).
% 1.29/1.15 tff(3409,plain,
% 1.29/1.15 (~c2_1(a730)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[554, 3408, 3404, 3405, 3406, 3266, 3407])).
% 1.29/1.15 tff(3410,plain,
% 1.29/1.15 (hskp2),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[585, 3409, 279, 3407, 3266, 3406, 3405, 3404])).
% 1.29/1.15 tff(3411,plain,
% 1.29/1.15 (~c2_1(a732)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[306, 3410])).
% 1.29/1.15 tff(3412,plain,
% 1.29/1.15 (~c0_1(a732)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[312, 3410])).
% 1.29/1.15 tff(3413,plain,
% 1.29/1.15 (c2_1(a741)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[239, 3268, 3220, 198, 3269, 21])).
% 1.29/1.15 tff(3414,plain,
% 1.29/1.15 (c2_1(a744)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[744, 116, 605, 21, 1389, 2536, 660])).
% 1.29/1.15 tff(3415,plain,
% 1.29/1.15 (hskp2),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[1532, 116, 279, 2536, 2535, 290, 3414])).
% 1.29/1.15 tff(3416,plain,
% 1.29/1.15 (~c2_1(a732)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[306, 3415])).
% 1.29/1.15 tff(3417,plain,
% 1.29/1.15 (~c0_1(a732)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[312, 3415])).
% 1.29/1.15 tff(3418,plain,
% 1.29/1.15 (~c1_1(a732)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3261, 241, 116, 2536, 2535, 3417, 3416, 278, 3414])).
% 1.29/1.15 tff(3419,plain,
% 1.29/1.15 (^[U: $i] : refl((hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U)) <=> (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U)))),
% 1.29/1.15 inference(bind,[status(th)],[])).
% 1.29/1.15 tff(3420,plain,
% 1.29/1.15 (![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U)) <=> ![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))),
% 1.29/1.15 inference(quant_intro,[status(thm)],[3419])).
% 1.29/1.15 tff(3421,plain,
% 1.29/1.15 (![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U)) <=> ![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3422,plain,
% 1.29/1.15 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ndr1_0) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U))), ((((~ndr1_0) | c1_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c1_1(U)) | c2_1(U)))), rewrite((((~ndr1_0) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U))), ((((~ndr1_0) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U)))), (((((~ndr1_0) | c1_1(U)) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c2_1(U) | c1_1(U)) | c3_1(U)))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))), (((((~ndr1_0) | c1_1(U)) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U)))), ((((((~ndr1_0) | c1_1(U)) | c2_1(U)) | c3_1(U)) | hskp27) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U)) | hskp27))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U)) | hskp27) <=> (hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))), ((((((~ndr1_0) | c1_1(U)) | c2_1(U)) | c3_1(U)) | hskp27) <=> (hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U)))), (((((((~ndr1_0) | c1_1(U)) | c2_1(U)) | c3_1(U)) | hskp27) | hskp0) <=> ((hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U)) | hskp0))), rewrite(((hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U)) | hskp0) <=> (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))), (((((((~ndr1_0) | c1_1(U)) | c2_1(U)) | c3_1(U)) | hskp27) | hskp0) <=> (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))))),
% 1.29/1.15 inference(bind,[status(th)],[])).
% 1.29/1.15 tff(3423,plain,
% 1.29/1.15 (![U: $i] : ((((((~ndr1_0) | c1_1(U)) | c2_1(U)) | c3_1(U)) | hskp27) | hskp0) <=> ![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))),
% 1.29/1.15 inference(quant_intro,[status(thm)],[3422])).
% 1.29/1.15 tff(3424,axiom,(![U: $i] : ((((((~ndr1_0) | c1_1(U)) | c2_1(U)) | c3_1(U)) | hskp27) | hskp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause126')).
% 1.29/1.15 tff(3425,plain,
% 1.29/1.15 (![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))),
% 1.29/1.15 inference(modus_ponens,[status(thm)],[3424, 3423])).
% 1.29/1.15 tff(3426,plain,
% 1.29/1.15 (![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))),
% 1.29/1.15 inference(modus_ponens,[status(thm)],[3425, 3421])).
% 1.29/1.15 tff(3427,plain,(
% 1.29/1.15 ![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))),
% 1.29/1.15 inference(skolemize,[status(sab)],[3426])).
% 1.29/1.15 tff(3428,plain,
% 1.29/1.15 (![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))),
% 1.29/1.15 inference(modus_ponens,[status(thm)],[3427, 3420])).
% 1.29/1.15 tff(3429,plain,
% 1.29/1.15 (~c3_1(a732)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[591, 3415])).
% 1.29/1.15 tff(3430,plain,
% 1.29/1.15 (((~![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))) | (hskp0 | hskp27 | c2_1(a732) | c3_1(a732) | (~ndr1_0) | c1_1(a732))) <=> ((~![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))) | hskp0 | hskp27 | c2_1(a732) | c3_1(a732) | (~ndr1_0) | c1_1(a732))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3431,plain,
% 1.29/1.15 ((hskp0 | hskp27 | (~ndr1_0) | c2_1(a732) | c1_1(a732) | c3_1(a732)) <=> (hskp0 | hskp27 | c2_1(a732) | c3_1(a732) | (~ndr1_0) | c1_1(a732))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3432,plain,
% 1.29/1.15 (((~![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))) | (hskp0 | hskp27 | (~ndr1_0) | c2_1(a732) | c1_1(a732) | c3_1(a732))) <=> ((~![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))) | (hskp0 | hskp27 | c2_1(a732) | c3_1(a732) | (~ndr1_0) | c1_1(a732)))),
% 1.29/1.15 inference(monotonicity,[status(thm)],[3431])).
% 1.29/1.15 tff(3433,plain,
% 1.29/1.15 (((~![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))) | (hskp0 | hskp27 | (~ndr1_0) | c2_1(a732) | c1_1(a732) | c3_1(a732))) <=> ((~![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))) | hskp0 | hskp27 | c2_1(a732) | c3_1(a732) | (~ndr1_0) | c1_1(a732))),
% 1.29/1.15 inference(transitivity,[status(thm)],[3432, 3430])).
% 1.29/1.15 tff(3434,plain,
% 1.29/1.15 ((~![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))) | (hskp0 | hskp27 | (~ndr1_0) | c2_1(a732) | c1_1(a732) | c3_1(a732))),
% 1.29/1.15 inference(quant_inst,[status(thm)],[])).
% 1.29/1.15 tff(3435,plain,
% 1.29/1.15 ((~![U: $i] : (hskp0 | hskp27 | (~ndr1_0) | c2_1(U) | c1_1(U) | c3_1(U))) | hskp0 | hskp27 | c2_1(a732) | c3_1(a732) | (~ndr1_0) | c1_1(a732)),
% 1.29/1.15 inference(modus_ponens,[status(thm)],[3434, 3433])).
% 1.29/1.15 tff(3436,plain,
% 1.29/1.15 ($false),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3435, 241, 116, 605, 3416, 3429, 3428, 3418])).
% 1.29/1.15 tff(3437,plain,(hskp0 | hskp27 | hskp1 | hskp11), inference(lemma,lemma(discharge,[]))).
% 1.29/1.15 tff(3438,plain,
% 1.29/1.15 (hskp0),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3437, 605, 279, 21])).
% 1.29/1.15 tff(3439,plain,
% 1.29/1.15 (~c1_1(a730)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[411, 3438])).
% 1.29/1.15 tff(3440,plain,
% 1.29/1.15 (c3_1(a730)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[471, 3438])).
% 1.29/1.15 tff(3441,plain,
% 1.29/1.15 (c0_1(a730)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[482, 3438])).
% 1.29/1.15 tff(3442,plain,
% 1.29/1.15 (hskp2),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3375, 3441, 605, 21, 279, 3440, 3439])).
% 1.29/1.15 tff(3443,plain,
% 1.29/1.15 (~c0_1(a732)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[312, 3442])).
% 1.29/1.15 tff(3444,plain,
% 1.29/1.15 (~c3_1(a732)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[591, 3442])).
% 1.29/1.15 tff(3445,plain,
% 1.29/1.15 (~c2_1(a730)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[554, 3440, 523, 496, 3441, 3439, 524])).
% 1.29/1.15 tff(3446,plain,
% 1.29/1.15 (~c2_1(a732)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[306, 3442])).
% 1.29/1.15 tff(3447,plain,
% 1.29/1.15 ($false),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[765, 3446, 3445, 606, 605, 21, 3441, 3440, 3444, 3439, 231, 198, 3443])).
% 1.29/1.15 tff(3448,plain,(hskp27 | (~c2_1(a741)) | hskp11 | (~c1_1(a741)) | c0_1(a741) | (~c3_1(a735)) | c0_1(a735) | (~c2_1(a735)) | hskp1), inference(lemma,lemma(discharge,[]))).
% 1.29/1.15 tff(3449,plain,
% 1.29/1.15 (hskp27),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3448, 3413, 21, 3268, 198, 3404, 3405, 3407, 279])).
% 1.29/1.15 tff(3450,plain,
% 1.29/1.15 (c1_1(a750)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[798, 3449])).
% 1.29/1.15 tff(3451,plain,
% 1.29/1.15 (c0_1(a750)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[776, 3449])).
% 1.29/1.15 tff(3452,plain,
% 1.29/1.15 (c2_1(a750)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[787, 3449])).
% 1.29/1.15 tff(3453,plain,
% 1.29/1.15 (~hskp25),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[1029, 3452, 198, 279, 3268, 3269, 3413, 3451, 3450])).
% 1.29/1.15 tff(3454,assumption,(~c1_1(a732)), introduced(assumption)).
% 1.29/1.15 tff(3455,plain,
% 1.29/1.15 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | c0_1(a732) | c2_1(a732) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a732))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c0_1(a732) | c2_1(a732) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a732))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3456,plain,
% 1.29/1.15 ((hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a732) | c0_1(a732) | c2_1(a732)) <=> (hskp25 | c0_1(a732) | c2_1(a732) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a732))),
% 1.29/1.15 inference(rewrite,[status(thm)],[])).
% 1.29/1.15 tff(3457,plain,
% 1.29/1.15 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a732) | c0_1(a732) | c2_1(a732))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | c0_1(a732) | c2_1(a732) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a732)))),
% 1.29/1.15 inference(monotonicity,[status(thm)],[3456])).
% 1.29/1.15 tff(3458,plain,
% 1.29/1.15 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a732) | c0_1(a732) | c2_1(a732))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c0_1(a732) | c2_1(a732) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a732))),
% 1.29/1.15 inference(transitivity,[status(thm)],[3457, 3455])).
% 1.29/1.15 tff(3459,plain,
% 1.29/1.15 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | (hskp25 | (~ndr1_0) | c1_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a732) | c0_1(a732) | c2_1(a732))),
% 1.29/1.15 inference(quant_inst,[status(thm)],[])).
% 1.29/1.15 tff(3460,plain,
% 1.29/1.15 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c2_1(V))) | hskp25 | c0_1(a732) | c2_1(a732) | c1_1(a730) | (~ndr1_0) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a732)),
% 1.29/1.15 inference(modus_ponens,[status(thm)],[3459, 3458])).
% 1.29/1.15 tff(3461,plain,
% 1.29/1.15 ($false),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3460, 116, 1755, 508, 507, 673, 672, 495, 20, 3454])).
% 1.29/1.15 tff(3462,plain,(c1_1(a732) | hskp25 | (~c0_1(a730)) | (~c3_1(a730)) | c0_1(a732) | c2_1(a732) | c1_1(a730)), inference(lemma,lemma(discharge,[]))).
% 1.29/1.15 tff(3463,plain,
% 1.29/1.15 (c1_1(a732)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3462, 3453, 3406, 3408, 3412, 3411, 3266])).
% 1.29/1.15 tff(3464,plain,
% 1.29/1.15 (hskp10 | (~c1_1(a732))),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[1072, 116, 3269, 198, 3412, 3411, 1066, 3413])).
% 1.29/1.15 tff(3465,plain,
% 1.29/1.15 (hskp10),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3464, 3463])).
% 1.29/1.15 tff(3466,plain,
% 1.29/1.15 (~c2_1(a748)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[1079, 3465])).
% 1.29/1.15 tff(3467,plain,
% 1.29/1.15 (~c1_1(a748)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[1085, 3465])).
% 1.29/1.15 tff(3468,plain,
% 1.29/1.15 (~c0_1(a748)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[1091, 3465])).
% 1.29/1.15 tff(3469,plain,
% 1.29/1.15 ($false),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[1300, 116, 3453, 3406, 3408, 3468, 3467, 3466, 3266, 20])).
% 1.29/1.15 tff(3470,plain,(hskp1 | c0_1(a741) | hskp11 | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.29/1.15 tff(3471,plain,
% 1.29/1.15 (c0_1(a741)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3470, 3243, 21, 22])).
% 1.29/1.15 tff(3472,plain,
% 1.29/1.15 ($false),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[184, 3471, 3244])).
% 1.29/1.15 tff(3473,plain,(c0_1(a734) | hskp11), inference(lemma,lemma(discharge,[]))).
% 1.29/1.15 tff(3474,plain,
% 1.29/1.15 (c0_1(a734)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3473, 21])).
% 1.29/1.15 tff(3475,plain,
% 1.29/1.15 (~hskp4),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[2113, 3474])).
% 1.29/1.15 tff(3476,plain,
% 1.29/1.15 (~hskp1),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3242, 3475, 21])).
% 1.29/1.15 tff(3477,plain,
% 1.29/1.15 (hskp0),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3264, 3476])).
% 1.29/1.15 tff(3478,plain,
% 1.29/1.15 (~c1_1(a730)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[411, 3477])).
% 1.29/1.15 tff(3479,plain,
% 1.29/1.15 (hskp7),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[156, 3476, 3475])).
% 1.29/1.15 tff(3480,plain,
% 1.29/1.15 (c1_1(a741)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[167, 3479])).
% 1.29/1.15 tff(3481,plain,
% 1.29/1.15 (~c0_1(a741)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[184, 3479])).
% 1.29/1.15 tff(3482,plain,
% 1.29/1.15 (c3_1(a741)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[178, 3479])).
% 1.29/1.15 tff(3483,plain,
% 1.29/1.15 (hskp5),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[2908, 3482, 3481, 3480])).
% 1.29/1.15 tff(3484,plain,
% 1.29/1.15 (c2_1(a735)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[454, 3483])).
% 1.29/1.15 tff(3485,plain,
% 1.29/1.15 (~c0_1(a735)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[460, 3483])).
% 1.29/1.15 tff(3486,plain,
% 1.29/1.15 (c2_1(a741)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[239, 3480, 3475, 3481, 3482, 21])).
% 1.29/1.15 tff(3487,plain,
% 1.29/1.15 (c3_1(a735)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[443, 3483])).
% 1.29/1.15 tff(3488,plain,
% 1.29/1.15 (hskp27),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3448, 3487, 21, 3480, 3481, 3486, 3485, 3484, 3476])).
% 1.29/1.15 tff(3489,plain,
% 1.29/1.15 (c1_1(a750)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[798, 3488])).
% 1.29/1.15 tff(3490,plain,
% 1.29/1.15 (c0_1(a750)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[776, 3488])).
% 1.29/1.15 tff(3491,plain,
% 1.29/1.15 (c2_1(a750)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[787, 3488])).
% 1.29/1.15 tff(3492,plain,
% 1.29/1.15 (~hskp25),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[1029, 3491, 3481, 3476, 3480, 3482, 3486, 3490, 3489])).
% 1.29/1.15 tff(3493,plain,
% 1.29/1.15 (c0_1(a730)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[482, 3477])).
% 1.29/1.15 tff(3494,plain,
% 1.29/1.15 (c3_1(a730)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[471, 3477])).
% 1.29/1.15 tff(3495,plain,
% 1.29/1.15 (~c2_1(a730)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[554, 3487, 3494, 3485, 3493, 3478, 3484])).
% 1.29/1.15 tff(3496,plain,
% 1.29/1.15 (hskp2),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[585, 3495, 3476, 3484, 3478, 3493, 3485, 3487])).
% 1.29/1.15 tff(3497,plain,
% 1.29/1.15 (~c2_1(a732)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[306, 3496])).
% 1.29/1.15 tff(3498,plain,
% 1.29/1.15 (~c0_1(a732)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[312, 3496])).
% 1.29/1.15 tff(3499,plain,
% 1.29/1.15 (c1_1(a732)),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[3462, 3498, 3493, 3494, 3478, 3497, 3492])).
% 1.29/1.15 tff(3500,plain,
% 1.29/1.15 (hskp10),
% 1.29/1.15 inference(unit_resolution,[status(thm)],[1072, 116, 3482, 3481, 3498, 3497, 1066, 3486, 3499])).
% 1.29/1.16 tff(3501,plain,
% 1.29/1.16 (~c2_1(a748)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[1079, 3500])).
% 1.29/1.16 tff(3502,plain,
% 1.29/1.16 (~c1_1(a748)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[1085, 3500])).
% 1.29/1.16 tff(3503,plain,
% 1.29/1.16 (~c0_1(a748)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[1091, 3500])).
% 1.29/1.16 tff(3504,plain,
% 1.29/1.16 ($false),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[1300, 116, 3492, 3493, 3494, 3503, 3502, 3501, 3478, 20])).
% 1.29/1.16 tff(3505,plain,(hskp11), inference(lemma,lemma(discharge,[]))).
% 1.29/1.16 tff(3506,plain,
% 1.29/1.16 (hskp4),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[156, 1114, 279])).
% 1.29/1.16 tff(3507,plain,
% 1.29/1.16 (c1_1(a734)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[54, 3506])).
% 1.29/1.16 tff(3508,plain,
% 1.29/1.16 (~c3_1(a734)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2859, 3506])).
% 1.29/1.16 tff(3509,plain,
% 1.29/1.16 (hskp5),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2393, 2318, 198, 3408, 3406, 3266, 279, 1113, 22, 3507, 3508])).
% 1.29/1.16 tff(3510,plain,
% 1.29/1.16 (c3_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[443, 3509])).
% 1.29/1.16 tff(3511,plain,
% 1.29/1.16 (~c0_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[460, 3509])).
% 1.29/1.16 tff(3512,plain,
% 1.29/1.16 (c2_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[454, 3509])).
% 1.29/1.16 tff(3513,plain,
% 1.29/1.16 (~c2_1(a730)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[554, 3510, 3408, 3511, 3406, 3266, 3512])).
% 1.29/1.16 tff(3514,plain,
% 1.29/1.16 (hskp2),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[585, 3513, 279, 3512, 3266, 3406, 3511, 3510])).
% 1.29/1.16 tff(3515,plain,
% 1.29/1.16 (~c3_1(a732)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[591, 3514])).
% 1.29/1.16 tff(3516,plain,
% 1.29/1.16 (~c2_1(a732)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[306, 3514])).
% 1.29/1.16 tff(3517,plain,
% 1.29/1.16 (~c0_1(a732)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[312, 3514])).
% 1.29/1.16 tff(3518,plain,
% 1.29/1.16 (hskp8),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[720, 116, 2143, 2122, 2121, 673, 672, 671, 670])).
% 1.29/1.16 tff(3519,plain,
% 1.29/1.16 (~c1_1(a744)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[750, 3518])).
% 1.29/1.16 tff(3520,plain,
% 1.29/1.16 (~c0_1(a744)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[726, 3518])).
% 1.29/1.16 tff(3521,plain,
% 1.29/1.16 (c3_1(a744)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[737, 3518])).
% 1.29/1.16 tff(3522,plain,
% 1.29/1.16 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | c0_1(a777) | c3_1(a777) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c3_1(a744)) | (~c2_1(a777)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c0_1(a777) | c3_1(a777) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c3_1(a744)) | (~c2_1(a777)))),
% 1.29/1.16 inference(rewrite,[status(thm)],[])).
% 1.29/1.16 tff(3523,plain,
% 1.29/1.16 ((hskp7 | (~ndr1_0) | c0_1(a777) | c3_1(a777) | (~c2_1(a777)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744))) <=> (hskp7 | c0_1(a777) | c3_1(a777) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c3_1(a744)) | (~c2_1(a777)))),
% 1.29/1.16 inference(rewrite,[status(thm)],[])).
% 1.29/1.16 tff(3524,plain,
% 1.29/1.16 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a777) | c3_1(a777) | (~c2_1(a777)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | c0_1(a777) | c3_1(a777) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c3_1(a744)) | (~c2_1(a777))))),
% 1.29/1.16 inference(monotonicity,[status(thm)],[3523])).
% 1.29/1.16 tff(3525,plain,
% 1.29/1.16 (((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a777) | c3_1(a777) | (~c2_1(a777)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744)))) <=> ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c0_1(a777) | c3_1(a777) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c3_1(a744)) | (~c2_1(a777)))),
% 1.29/1.16 inference(transitivity,[status(thm)],[3524, 3522])).
% 1.29/1.16 tff(3526,plain,
% 1.29/1.16 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp7 | (~ndr1_0) | c0_1(a777) | c3_1(a777) | (~c2_1(a777)) | c1_1(a744) | c0_1(a744) | (~c3_1(a744)))),
% 1.29/1.16 inference(quant_inst,[status(thm)],[])).
% 1.29/1.16 tff(3527,plain,
% 1.29/1.16 ((~![V: $i, U: $i] : (hskp7 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp7 | c0_1(a777) | c3_1(a777) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | (~c3_1(a744)) | (~c2_1(a777))),
% 1.29/1.16 inference(modus_ponens,[status(thm)],[3526, 3525])).
% 1.29/1.16 tff(3528,plain,
% 1.29/1.16 ($false),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3527, 116, 1125, 2143, 3521, 2122, 2121, 3520, 3519, 1362])).
% 1.29/1.16 tff(3529,plain,((~hskp19) | hskp7 | c0_1(a732) | c2_1(a732) | c3_1(a732)), inference(lemma,lemma(discharge,[]))).
% 1.29/1.16 tff(3530,plain,
% 1.29/1.16 (~hskp19),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3529, 3517, 1114, 3516, 3515])).
% 1.29/1.16 tff(3531,plain,
% 1.29/1.16 (hskp27 | hskp19),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[689, 116, 3406, 3408, 3266, 683])).
% 1.29/1.16 tff(3532,plain,
% 1.29/1.16 (hskp27),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3531, 3530])).
% 1.29/1.16 tff(3533,plain,
% 1.29/1.16 (c1_1(a750)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[798, 3532])).
% 1.29/1.16 tff(3534,plain,
% 1.29/1.16 (c0_1(a750)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[776, 3532])).
% 1.29/1.16 tff(3535,plain,
% 1.29/1.16 (c2_1(a750)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[787, 3532])).
% 1.29/1.16 tff(3536,plain,
% 1.29/1.16 ($false),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2428, 3535, 3534, 198, 279, 2318, 1113, 3533, 3507, 22, 3508])).
% 1.29/1.16 tff(3537,plain,(c3_1(a741) | c0_1(a741) | hskp1 | c1_1(a741) | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.29/1.16 tff(3538,plain,
% 1.29/1.16 (c3_1(a741)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3537, 1113, 279, 198, 22])).
% 1.29/1.16 tff(3539,plain,
% 1.29/1.16 ((~c3_1(a741)) | (~c2_1(a734))),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2448, 116, 1114, 1113, 198, 22, 3508, 1362])).
% 1.29/1.16 tff(3540,plain,
% 1.29/1.16 (~c2_1(a734)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3539, 3538])).
% 1.29/1.16 tff(3541,plain,
% 1.29/1.16 (hskp5),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[1273, 3540, 3508, 3507])).
% 1.29/1.16 tff(3542,plain,
% 1.29/1.16 (c3_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[443, 3541])).
% 1.29/1.16 tff(3543,plain,
% 1.29/1.16 (~c0_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[460, 3541])).
% 1.29/1.16 tff(3544,plain,
% 1.29/1.16 (c2_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[454, 3541])).
% 1.29/1.16 tff(3545,plain,
% 1.29/1.16 (~c2_1(a730)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[554, 3542, 3408, 3543, 3406, 3266, 3544])).
% 1.29/1.16 tff(3546,plain,
% 1.29/1.16 (hskp2),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[585, 3545, 279, 3544, 3266, 3406, 3543, 3542])).
% 1.29/1.16 tff(3547,plain,
% 1.29/1.16 (~c3_1(a732)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[591, 3546])).
% 1.29/1.16 tff(3548,plain,
% 1.29/1.16 (~c2_1(a732)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[306, 3546])).
% 1.29/1.16 tff(3549,plain,
% 1.29/1.16 (~c0_1(a732)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[312, 3546])).
% 1.29/1.16 tff(3550,plain,
% 1.29/1.16 (~hskp19),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3529, 3549, 1114, 3548, 3547])).
% 1.29/1.16 tff(3551,plain,
% 1.29/1.16 (hskp27),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3531, 3550])).
% 1.29/1.16 tff(3552,plain,
% 1.29/1.16 (c0_1(a750)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[776, 3551])).
% 1.29/1.16 tff(3553,plain,
% 1.29/1.16 (c1_1(a750)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[798, 3551])).
% 1.29/1.16 tff(3554,plain,
% 1.29/1.16 (c2_1(a750)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[787, 3551])).
% 1.29/1.16 tff(3555,plain,
% 1.29/1.16 (c3_1(a734)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2278, 1125, 1126])).
% 1.29/1.16 tff(3556,plain,
% 1.29/1.16 (~hskp4),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2859, 3555])).
% 1.29/1.16 tff(3557,plain,
% 1.29/1.16 (hskp1),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[156, 3556, 1125])).
% 1.29/1.16 tff(3558,plain,
% 1.29/1.16 (~c2_1(a731)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[61, 3557])).
% 1.29/1.16 tff(3559,plain,
% 1.29/1.16 (c3_1(a731)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[72, 3557])).
% 1.29/1.16 tff(3560,plain,
% 1.29/1.16 (c0_1(a731)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[1135, 116, 1126, 1125, 3559, 3558, 1124])).
% 1.29/1.16 tff(3561,plain,
% 1.29/1.16 (c1_1(a731)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[83, 3557])).
% 1.29/1.16 tff(3562,plain,
% 1.29/1.16 (~hskp8),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2157, 3557, 1126, 1125])).
% 1.29/1.16 tff(3563,plain,
% 1.29/1.16 (hskp0),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[1278, 3562])).
% 1.29/1.16 tff(3564,plain,
% 1.29/1.16 (~c1_1(a730)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[411, 3563])).
% 1.29/1.16 tff(3565,plain,
% 1.29/1.16 (c3_1(a730)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[471, 3563])).
% 1.29/1.16 tff(3566,plain,
% 1.29/1.16 (c0_1(a730)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[482, 3563])).
% 1.29/1.16 tff(3567,plain,
% 1.29/1.16 (hskp5),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2851, 3566, 3565, 3564, 3561, 3559, 3558, 3556])).
% 1.29/1.16 tff(3568,plain,
% 1.29/1.16 (c2_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[454, 3567])).
% 1.29/1.16 tff(3569,plain,
% 1.29/1.16 (c3_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[443, 3567])).
% 1.29/1.16 tff(3570,plain,
% 1.29/1.16 (~c0_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[460, 3567])).
% 1.29/1.16 tff(3571,plain,
% 1.29/1.16 (~c2_1(a730)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[554, 3570, 3566, 3565, 3569, 3564, 3568])).
% 1.29/1.16 tff(3572,plain,
% 1.29/1.16 (hskp11 | c2_1(a730)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2006, 116, 3561, 3559, 3565, 3558, 3564, 387])).
% 1.29/1.16 tff(3573,plain,
% 1.29/1.16 (hskp11),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3572, 3571])).
% 1.29/1.16 tff(3574,plain,
% 1.29/1.16 (~c3_1(a749)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[1968, 3573])).
% 1.29/1.16 tff(3575,plain,
% 1.29/1.16 (~c1_1(a749)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[1665, 3573])).
% 1.29/1.16 tff(3576,plain,
% 1.29/1.16 (~c0_1(a749)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[1639, 3573])).
% 1.29/1.16 tff(3577,plain,
% 1.29/1.16 ($false),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2276, 116, 3561, 3559, 3576, 3575, 3574, 3558, 10, 3560])).
% 1.29/1.16 tff(3578,plain,(hskp7 | hskp12), inference(lemma,lemma(discharge,[]))).
% 1.29/1.16 tff(3579,plain,
% 1.29/1.16 (hskp12),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3578, 1114])).
% 1.29/1.16 tff(3580,plain,
% 1.29/1.16 (c2_1(a755)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2295, 3579])).
% 1.29/1.16 tff(3581,plain,
% 1.29/1.16 (~c3_1(a755)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2284, 3579])).
% 1.29/1.16 tff(3582,plain,
% 1.29/1.16 (c1_1(a755)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2306, 3579])).
% 1.29/1.16 tff(3583,plain,
% 1.29/1.16 (~hskp10),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2514, 3553, 279, 3582, 3406, 3408, 3266, 3581, 3552, 3554, 3580])).
% 1.29/1.16 tff(3584,plain,
% 1.29/1.16 ($false),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3143, 3583, 3554, 279, 3508, 22, 3553, 3552, 3507, 3541])).
% 1.29/1.16 tff(3585,plain,(c1_1(a741) | hskp1 | c0_1(a734) | c0_1(a741)), inference(lemma,lemma(discharge,[]))).
% 1.29/1.16 tff(3586,plain,
% 1.29/1.16 (c1_1(a741)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3585, 198, 22, 279])).
% 1.29/1.16 tff(3587,plain,
% 1.29/1.16 (hskp4),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[156, 2489, 279])).
% 1.29/1.16 tff(3588,plain,
% 1.29/1.16 (c1_1(a734)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[54, 3587])).
% 1.29/1.16 tff(3589,plain,
% 1.29/1.16 (~c3_1(a734)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2859, 3587])).
% 1.29/1.16 tff(3590,plain,
% 1.29/1.16 (~c3_1(a749)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[1968, 3505])).
% 1.29/1.16 tff(3591,plain,
% 1.29/1.16 (~c1_1(a749)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[1665, 3505])).
% 1.29/1.16 tff(3592,plain,
% 1.29/1.16 (hskp5 | (~c2_1(a749))),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2736, 116, 508, 507, 3591, 3590, 495, 1555])).
% 1.29/1.16 tff(3593,plain,
% 1.29/1.16 (~c2_1(a749)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3592, 423])).
% 1.29/1.16 tff(3594,plain,
% 1.29/1.16 (~c0_1(a749)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[1639, 3505])).
% 1.29/1.16 tff(3595,plain,
% 1.29/1.16 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c3_1(a741) | c0_1(a749) | c3_1(a749) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | c2_1(a749))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c3_1(a741) | c0_1(a749) | c3_1(a749) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | c2_1(a749))),
% 1.29/1.16 inference(rewrite,[status(thm)],[])).
% 1.29/1.16 tff(3596,plain,
% 1.29/1.16 ((hskp8 | (~ndr1_0) | c0_1(a741) | c3_1(a741) | (~c2_1(a741)) | c3_1(a749) | c0_1(a749) | c2_1(a749)) <=> (hskp8 | c3_1(a741) | c0_1(a749) | c3_1(a749) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | c2_1(a749))),
% 1.29/1.16 inference(rewrite,[status(thm)],[])).
% 1.29/1.16 tff(3597,plain,
% 1.29/1.16 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a741) | c3_1(a741) | (~c2_1(a741)) | c3_1(a749) | c0_1(a749) | c2_1(a749))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c3_1(a741) | c0_1(a749) | c3_1(a749) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | c2_1(a749)))),
% 1.29/1.16 inference(monotonicity,[status(thm)],[3596])).
% 1.29/1.16 tff(3598,plain,
% 1.29/1.16 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a741) | c3_1(a741) | (~c2_1(a741)) | c3_1(a749) | c0_1(a749) | c2_1(a749))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c3_1(a741) | c0_1(a749) | c3_1(a749) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | c2_1(a749))),
% 1.29/1.16 inference(transitivity,[status(thm)],[3597, 3595])).
% 1.29/1.16 tff(3599,plain,
% 1.29/1.16 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a741) | c3_1(a741) | (~c2_1(a741)) | c3_1(a749) | c0_1(a749) | c2_1(a749))),
% 1.29/1.16 inference(quant_inst,[status(thm)],[])).
% 1.29/1.16 tff(3600,plain,
% 1.29/1.16 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c3_1(a741) | c0_1(a749) | c3_1(a749) | c0_1(a741) | (~ndr1_0) | (~c2_1(a741)) | c2_1(a749)),
% 1.29/1.16 inference(modus_ponens,[status(thm)],[3599, 3598])).
% 1.29/1.16 tff(3601,plain,
% 1.29/1.16 (hskp8 | c3_1(a741) | (~c2_1(a741)) | c2_1(a749)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3600, 116, 3594, 3590, 198, 670])).
% 1.29/1.16 tff(3602,plain,
% 1.29/1.16 (hskp8),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3601, 3593, 2318, 2523])).
% 1.29/1.16 tff(3603,plain,
% 1.29/1.16 ($false),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3148, 3602, 2377, 22, 33, 2489])).
% 1.29/1.16 tff(3604,plain,(hskp5 | c0_1(a734) | c3_1(a734) | c3_1(a741) | c0_1(a741) | (~c1_1(a741)) | (~c1_1(a734)) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a730)), inference(lemma,lemma(discharge,[]))).
% 1.29/1.16 tff(3605,plain,
% 1.29/1.16 (hskp5),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3604, 3589, 22, 2318, 198, 3586, 3588, 3406, 3408, 3266])).
% 1.29/1.16 tff(3606,plain,
% 1.29/1.16 (c3_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[443, 3605])).
% 1.29/1.16 tff(3607,plain,
% 1.29/1.16 (~c0_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[460, 3605])).
% 1.29/1.16 tff(3608,plain,
% 1.29/1.16 (c2_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[454, 3605])).
% 1.29/1.16 tff(3609,plain,
% 1.29/1.16 (~c2_1(a730)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[554, 3606, 3408, 3607, 3406, 3266, 3608])).
% 1.29/1.16 tff(3610,plain,
% 1.29/1.16 (hskp2),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[585, 3609, 279, 3608, 3266, 3406, 3607, 3606])).
% 1.29/1.16 tff(3611,plain,
% 1.29/1.16 (~c2_1(a732)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[306, 3610])).
% 1.29/1.16 tff(3612,plain,
% 1.29/1.16 (~c0_1(a732)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[312, 3610])).
% 1.29/1.16 tff(3613,plain,
% 1.29/1.16 (~c3_1(a732)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[591, 3610])).
% 1.29/1.16 tff(3614,plain,
% 1.29/1.16 (~hskp19),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3529, 3613, 2489, 3612, 3611])).
% 1.29/1.16 tff(3615,plain,
% 1.29/1.16 (hskp27),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3531, 3614])).
% 1.29/1.16 tff(3616,plain,
% 1.29/1.16 (c2_1(a750)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[787, 3615])).
% 1.29/1.16 tff(3617,plain,
% 1.29/1.16 (c0_1(a750)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[776, 3615])).
% 1.29/1.16 tff(3618,plain,
% 1.29/1.16 (c1_1(a750)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[798, 3615])).
% 1.29/1.16 tff(3619,plain,
% 1.29/1.16 (hskp12),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3578, 2489])).
% 1.29/1.16 tff(3620,plain,
% 1.29/1.16 (c2_1(a755)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2295, 3619])).
% 1.29/1.16 tff(3621,plain,
% 1.29/1.16 (~c3_1(a755)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2284, 3619])).
% 1.29/1.16 tff(3622,plain,
% 1.29/1.16 (c1_1(a755)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2306, 3619])).
% 1.29/1.16 tff(3623,plain,
% 1.29/1.16 (~hskp10),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2514, 3618, 279, 3622, 3406, 3408, 3266, 3621, 3617, 3616, 3620])).
% 1.29/1.16 tff(3624,plain,
% 1.29/1.16 ($false),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3143, 3623, 3618, 279, 3589, 22, 3605, 3617, 3588, 3616])).
% 1.29/1.16 tff(3625,plain,(c3_1(a741) | hskp1 | c0_1(a734) | c0_1(a741)), inference(lemma,lemma(discharge,[]))).
% 1.29/1.16 tff(3626,plain,
% 1.29/1.16 (c3_1(a741)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3625, 198, 22, 279])).
% 1.29/1.16 tff(3627,plain,
% 1.29/1.16 (hskp5),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2908, 3626, 198, 3586])).
% 1.29/1.16 tff(3628,plain,
% 1.29/1.16 (c2_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[454, 3627])).
% 1.29/1.16 tff(3629,plain,
% 1.29/1.16 (~c0_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[460, 3627])).
% 1.29/1.16 tff(3630,plain,
% 1.29/1.16 (c3_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[443, 3627])).
% 1.29/1.16 tff(3631,plain,
% 1.29/1.16 (~c2_1(a730)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[554, 3630, 3408, 3629, 3406, 3266, 3628])).
% 1.29/1.16 tff(3632,plain,
% 1.29/1.16 (c2_1(a741)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2628, 199, 198, 231])).
% 1.29/1.16 tff(3633,plain,
% 1.29/1.16 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c0_1(a744) | c1_1(a744) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)))),
% 1.29/1.16 inference(rewrite,[status(thm)],[])).
% 1.29/1.16 tff(3634,plain,
% 1.29/1.16 (((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744))) <=> (c0_1(a744) | c1_1(a744) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)))),
% 1.29/1.16 inference(rewrite,[status(thm)],[])).
% 1.29/1.16 tff(3635,plain,
% 1.29/1.16 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | (c0_1(a744) | c1_1(a744) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744))))),
% 1.29/1.16 inference(monotonicity,[status(thm)],[3634])).
% 1.29/1.16 tff(3636,plain,
% 1.29/1.16 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744)))),
% 1.29/1.16 inference(transitivity,[status(thm)],[3635, 3633])).
% 1.29/1.16 tff(3637,plain,
% 1.29/1.16 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | ((~ndr1_0) | c2_1(a730) | (~c3_1(a730)) | (~c0_1(a730)) | c1_1(a744) | (~c2_1(a744)) | (~c3_1(a744)) | c0_1(a744) | (~c3_1(a744)) | (~c2_1(a744)))),
% 1.29/1.16 inference(quant_inst,[status(thm)],[])).
% 1.29/1.16 tff(3638,plain,
% 1.29/1.16 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)) | (~c2_1(W)))) | c0_1(a744) | c1_1(a744) | (~ndr1_0) | c2_1(a730) | (~c0_1(a730)) | (~c3_1(a730)) | (~c2_1(a744)) | (~c3_1(a744))),
% 1.29/1.16 inference(modus_ponens,[status(thm)],[3637, 3636])).
% 1.29/1.16 tff(3639,plain,
% 1.29/1.16 (~c2_1(a744)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3638, 116, 3146, 508, 507, 2154, 2155, 494, 556])).
% 1.29/1.16 tff(3640,plain,
% 1.29/1.16 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a744) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a744) | (~c3_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a744) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a744) | (~c3_1(a744)))),
% 1.29/1.16 inference(rewrite,[status(thm)],[])).
% 1.29/1.16 tff(3641,plain,
% 1.29/1.16 (((~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a744) | c0_1(a744) | (~c3_1(a744))) <=> (c0_1(a744) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a744) | (~c3_1(a744)))),
% 1.29/1.16 inference(rewrite,[status(thm)],[])).
% 1.29/1.16 tff(3642,plain,
% 1.29/1.16 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a744) | c0_1(a744) | (~c3_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a744) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a744) | (~c3_1(a744))))),
% 1.29/1.16 inference(monotonicity,[status(thm)],[3641])).
% 1.29/1.16 tff(3643,plain,
% 1.29/1.16 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a744) | c0_1(a744) | (~c3_1(a744)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a744) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a744) | (~c3_1(a744)))),
% 1.29/1.16 inference(transitivity,[status(thm)],[3642, 3640])).
% 1.29/1.16 tff(3644,plain,
% 1.29/1.16 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | (~c2_1(a741)) | (~c3_1(a741)) | (~c1_1(a741)) | c0_1(a741) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a744) | c0_1(a744) | (~c3_1(a744)))),
% 1.29/1.16 inference(quant_inst,[status(thm)],[])).
% 1.29/1.16 tff(3645,plain,
% 1.29/1.16 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a744) | c0_1(a741) | (~ndr1_0) | (~c1_1(a741)) | (~c2_1(a741)) | (~c3_1(a741)) | c2_1(a744) | (~c3_1(a744))),
% 1.29/1.16 inference(modus_ponens,[status(thm)],[3644, 3643])).
% 1.29/1.16 tff(3646,plain,
% 1.29/1.16 ($false),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3645, 116, 3146, 231, 199, 2154, 198, 2648, 3639, 3632])).
% 1.29/1.16 tff(3647,plain,((~hskp8) | (~c1_1(a741)) | (~c3_1(a741)) | c0_1(a741) | (~c0_1(a730)) | (~c3_1(a730)) | c2_1(a730)), inference(lemma,lemma(discharge,[]))).
% 1.29/1.16 tff(3648,plain,
% 1.29/1.16 (~hskp8),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3647, 3586, 3626, 198, 3406, 3408, 3631])).
% 1.29/1.16 tff(3649,plain,
% 1.29/1.16 (hskp2),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[585, 3631, 279, 3628, 3266, 3406, 3629, 3630])).
% 1.29/1.16 tff(3650,plain,
% 1.29/1.16 (~c3_1(a732)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[591, 3649])).
% 1.29/1.16 tff(3651,plain,
% 1.29/1.16 (~c2_1(a732)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[306, 3649])).
% 1.29/1.16 tff(3652,plain,
% 1.29/1.16 (~c0_1(a732)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[312, 3649])).
% 1.29/1.16 tff(3653,plain,
% 1.29/1.16 (hskp8 | (~c2_1(a749))),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[1975, 116, 3594, 3590, 3652, 3651, 3650, 670])).
% 1.29/1.16 tff(3654,plain,
% 1.29/1.16 (~c2_1(a749)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3653, 3648])).
% 1.29/1.16 tff(3655,plain,
% 1.29/1.16 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a777) | c3_1(a777) | c0_1(a749) | c3_1(a749) | (~ndr1_0) | c2_1(a749) | (~c2_1(a777)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a777) | c3_1(a777) | c0_1(a749) | c3_1(a749) | (~ndr1_0) | c2_1(a749) | (~c2_1(a777)))),
% 1.29/1.16 inference(rewrite,[status(thm)],[])).
% 1.29/1.16 tff(3656,plain,
% 1.29/1.16 ((hskp8 | (~ndr1_0) | c0_1(a777) | c3_1(a777) | (~c2_1(a777)) | c3_1(a749) | c0_1(a749) | c2_1(a749)) <=> (hskp8 | c0_1(a777) | c3_1(a777) | c0_1(a749) | c3_1(a749) | (~ndr1_0) | c2_1(a749) | (~c2_1(a777)))),
% 1.29/1.16 inference(rewrite,[status(thm)],[])).
% 1.29/1.16 tff(3657,plain,
% 1.29/1.16 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a777) | c3_1(a777) | (~c2_1(a777)) | c3_1(a749) | c0_1(a749) | c2_1(a749))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a777) | c3_1(a777) | c0_1(a749) | c3_1(a749) | (~ndr1_0) | c2_1(a749) | (~c2_1(a777))))),
% 1.29/1.16 inference(monotonicity,[status(thm)],[3656])).
% 1.29/1.16 tff(3658,plain,
% 1.29/1.16 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a777) | c3_1(a777) | (~c2_1(a777)) | c3_1(a749) | c0_1(a749) | c2_1(a749))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a777) | c3_1(a777) | c0_1(a749) | c3_1(a749) | (~ndr1_0) | c2_1(a749) | (~c2_1(a777)))),
% 1.29/1.16 inference(transitivity,[status(thm)],[3657, 3655])).
% 1.29/1.16 tff(3659,plain,
% 1.29/1.16 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a777) | c3_1(a777) | (~c2_1(a777)) | c3_1(a749) | c0_1(a749) | c2_1(a749))),
% 1.29/1.16 inference(quant_inst,[status(thm)],[])).
% 1.29/1.16 tff(3660,plain,
% 1.29/1.16 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a777) | c3_1(a777) | c0_1(a749) | c3_1(a749) | (~ndr1_0) | c2_1(a749) | (~c2_1(a777))),
% 1.29/1.16 inference(modus_ponens,[status(thm)],[3659, 3658])).
% 1.29/1.16 tff(3661,plain,
% 1.29/1.16 ($false),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3660, 1595, 116, 2143, 2122, 2121, 3594, 3590, 670, 1641])).
% 1.29/1.16 tff(3662,plain,((~hskp19) | hskp8 | c2_1(a749)), inference(lemma,lemma(discharge,[]))).
% 1.29/1.16 tff(3663,plain,
% 1.29/1.16 (~hskp19),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3662, 3648, 3654])).
% 1.29/1.16 tff(3664,plain,
% 1.29/1.16 (hskp27),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3531, 3663])).
% 1.29/1.16 tff(3665,plain,
% 1.29/1.16 (c1_1(a750)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[798, 3664])).
% 1.29/1.16 tff(3666,plain,
% 1.29/1.16 (hskp25 | c2_1(a749)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2728, 116, 3406, 3408, 3594, 3591, 3266, 20])).
% 1.29/1.16 tff(3667,plain,
% 1.29/1.16 (hskp25),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3666, 3654])).
% 1.29/1.16 tff(3668,plain,
% 1.29/1.16 (c2_1(a741)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2628, 3626, 198, 3586])).
% 1.29/1.16 tff(3669,plain,
% 1.29/1.16 (c0_1(a750)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[776, 3664])).
% 1.29/1.16 tff(3670,plain,
% 1.29/1.16 (c2_1(a750)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[787, 3664])).
% 1.29/1.16 tff(3671,plain,
% 1.29/1.16 ($false),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[1029, 3670, 3669, 198, 279, 3586, 3626, 3668, 3667, 3665])).
% 1.29/1.16 tff(3672,plain,(c0_1(a741) | hskp1 | c0_1(a734)), inference(lemma,lemma(discharge,[]))).
% 1.29/1.16 tff(3673,plain,
% 1.29/1.16 (c0_1(a741)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3672, 22, 279])).
% 1.29/1.16 tff(3674,plain,
% 1.29/1.16 (~hskp7),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[184, 3673])).
% 1.29/1.16 tff(3675,plain,
% 1.29/1.16 (hskp4),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[156, 3674, 279])).
% 1.29/1.16 tff(3676,plain,
% 1.29/1.16 (c1_1(a734)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[54, 3675])).
% 1.29/1.16 tff(3677,plain,
% 1.29/1.16 (~c3_1(a734)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2859, 3675])).
% 1.29/1.16 tff(3678,plain,
% 1.29/1.16 (~hskp8),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3148, 2377, 22, 1125, 33])).
% 1.29/1.16 tff(3679,plain,
% 1.29/1.16 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a749) | c3_1(a749) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c2_1(a749))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a749) | c3_1(a749) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c2_1(a749))),
% 1.29/1.16 inference(rewrite,[status(thm)],[])).
% 1.29/1.16 tff(3680,plain,
% 1.29/1.16 ((hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a749) | c0_1(a749) | c2_1(a749)) <=> (hskp8 | c0_1(a749) | c3_1(a749) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c2_1(a749))),
% 1.29/1.16 inference(rewrite,[status(thm)],[])).
% 1.29/1.16 tff(3681,plain,
% 1.29/1.16 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a749) | c0_1(a749) | c2_1(a749))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | c0_1(a749) | c3_1(a749) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c2_1(a749)))),
% 1.29/1.16 inference(monotonicity,[status(thm)],[3680])).
% 1.29/1.16 tff(3682,plain,
% 1.29/1.16 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a749) | c0_1(a749) | c2_1(a749))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a749) | c3_1(a749) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c2_1(a749))),
% 1.29/1.16 inference(transitivity,[status(thm)],[3681, 3679])).
% 1.29/1.16 tff(3683,plain,
% 1.29/1.16 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (hskp8 | (~ndr1_0) | c0_1(a734) | c3_1(a734) | (~c2_1(a734)) | c3_1(a749) | c0_1(a749) | c2_1(a749))),
% 1.29/1.16 inference(quant_inst,[status(thm)],[])).
% 1.29/1.16 tff(3684,plain,
% 1.29/1.16 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | c3_1(U) | (~c2_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | hskp8 | c0_1(a749) | c3_1(a749) | c0_1(a734) | c3_1(a734) | (~ndr1_0) | (~c2_1(a734)) | c2_1(a749)),
% 1.29/1.16 inference(modus_ponens,[status(thm)],[3683, 3682])).
% 1.29/1.16 tff(3685,plain,
% 1.29/1.16 (hskp8 | c3_1(a734) | (~c2_1(a734)) | c2_1(a749)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3684, 116, 3594, 3590, 22, 670])).
% 1.29/1.16 tff(3686,plain,
% 1.29/1.16 ($false),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3685, 3678, 2377, 33, 3593])).
% 1.29/1.16 tff(3687,plain,(hskp5 | c3_1(a734) | c0_1(a734) | hskp7 | (~c1_1(a734)) | (~c0_1(a730)) | (~c3_1(a730)) | c1_1(a730)), inference(lemma,lemma(discharge,[]))).
% 1.29/1.16 tff(3688,plain,
% 1.29/1.16 (hskp5),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3687, 3677, 22, 3674, 3676, 3406, 3408, 3266])).
% 1.29/1.16 tff(3689,plain,
% 1.29/1.16 (c3_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[443, 3688])).
% 1.29/1.16 tff(3690,plain,
% 1.29/1.16 (~c0_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[460, 3688])).
% 1.29/1.16 tff(3691,plain,
% 1.29/1.16 (c2_1(a735)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[454, 3688])).
% 1.29/1.16 tff(3692,plain,
% 1.29/1.16 (~c2_1(a730)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[554, 3689, 3408, 3690, 3406, 3266, 3691])).
% 1.29/1.16 tff(3693,plain,
% 1.29/1.16 (hskp2),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[585, 3692, 279, 3691, 3266, 3406, 3690, 3689])).
% 1.29/1.16 tff(3694,plain,
% 1.29/1.16 (~c2_1(a732)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[306, 3693])).
% 1.29/1.16 tff(3695,plain,
% 1.29/1.16 (~c0_1(a732)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[312, 3693])).
% 1.29/1.16 tff(3696,plain,
% 1.29/1.16 (~c3_1(a732)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[591, 3693])).
% 1.29/1.16 tff(3697,plain,
% 1.29/1.16 (~hskp19),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3529, 3696, 3674, 3695, 3694])).
% 1.29/1.16 tff(3698,plain,
% 1.29/1.16 (hskp27),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3531, 3697])).
% 1.29/1.16 tff(3699,plain,
% 1.29/1.16 (c2_1(a750)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[787, 3698])).
% 1.29/1.16 tff(3700,plain,
% 1.29/1.16 (c0_1(a750)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[776, 3698])).
% 1.29/1.16 tff(3701,plain,
% 1.29/1.16 (c1_1(a750)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[798, 3698])).
% 1.29/1.16 tff(3702,plain,
% 1.29/1.16 (hskp12),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[3578, 3674])).
% 1.29/1.16 tff(3703,plain,
% 1.29/1.16 (c2_1(a755)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2295, 3702])).
% 1.29/1.16 tff(3704,plain,
% 1.29/1.16 (~c3_1(a755)),
% 1.29/1.16 inference(unit_resolution,[status(thm)],[2284, 3702])).
% 1.29/1.17 tff(3705,plain,
% 1.29/1.17 (c1_1(a755)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[2306, 3702])).
% 1.29/1.17 tff(3706,plain,
% 1.29/1.17 (~hskp10),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[2514, 3701, 279, 3705, 3406, 3408, 3266, 3704, 3700, 3699, 3703])).
% 1.29/1.17 tff(3707,plain,
% 1.29/1.17 ($false),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[3143, 3706, 3701, 279, 3677, 22, 3688, 3700, 3676, 3699])).
% 1.29/1.17 tff(3708,plain,(c0_1(a734) | hskp1), inference(lemma,lemma(discharge,[]))).
% 1.29/1.17 tff(3709,plain,
% 1.29/1.17 (c0_1(a734)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[3708, 279])).
% 1.29/1.17 tff(3710,plain,
% 1.29/1.17 (~hskp4),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[2113, 3709])).
% 1.29/1.17 tff(3711,plain,
% 1.29/1.17 (hskp5),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[2773, 3710, 3505])).
% 1.29/1.17 tff(3712,plain,
% 1.29/1.17 (c2_1(a735)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[454, 3711])).
% 1.29/1.17 tff(3713,plain,
% 1.29/1.17 (~c0_1(a735)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[460, 3711])).
% 1.29/1.17 tff(3714,plain,
% 1.29/1.17 (c3_1(a735)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[443, 3711])).
% 1.29/1.17 tff(3715,plain,
% 1.29/1.17 (~c2_1(a730)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[554, 3714, 3408, 3713, 3406, 3266, 3712])).
% 1.29/1.17 tff(3716,plain,
% 1.29/1.17 (hskp7),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[156, 3710, 279])).
% 1.29/1.17 tff(3717,plain,
% 1.29/1.17 (~c0_1(a741)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[184, 3716])).
% 1.29/1.17 tff(3718,plain,
% 1.29/1.17 (c3_1(a741)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[178, 3716])).
% 1.29/1.17 tff(3719,plain,
% 1.29/1.17 (c1_1(a741)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[167, 3716])).
% 1.29/1.17 tff(3720,plain,
% 1.29/1.17 (~hskp8),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[3647, 3719, 3718, 3717, 3406, 3408, 3715])).
% 1.29/1.17 tff(3721,plain,
% 1.29/1.17 (hskp2),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[585, 3715, 279, 3712, 3266, 3406, 3713, 3714])).
% 1.29/1.17 tff(3722,plain,
% 1.29/1.17 (~c3_1(a732)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[591, 3721])).
% 1.29/1.17 tff(3723,plain,
% 1.29/1.17 (~c2_1(a732)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[306, 3721])).
% 1.29/1.17 tff(3724,plain,
% 1.29/1.17 (~c0_1(a732)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[312, 3721])).
% 1.29/1.17 tff(3725,plain,
% 1.29/1.17 (~c2_1(a749)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[1975, 3720, 116, 3594, 3590, 3724, 3723, 3722, 670])).
% 1.29/1.17 tff(3726,plain,
% 1.29/1.17 (~hskp19),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[3662, 3725, 3720])).
% 1.29/1.17 tff(3727,plain,
% 1.29/1.17 (hskp27),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[3531, 3726])).
% 1.29/1.17 tff(3728,plain,
% 1.29/1.17 (c1_1(a750)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[798, 3727])).
% 1.29/1.17 tff(3729,plain,
% 1.29/1.17 (hskp25),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[3666, 3725])).
% 1.29/1.17 tff(3730,plain,
% 1.29/1.17 (c2_1(a741)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[2628, 3717, 3718, 3719])).
% 1.29/1.17 tff(3731,plain,
% 1.29/1.17 (c0_1(a750)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[776, 3727])).
% 1.29/1.17 tff(3732,plain,
% 1.29/1.17 (c2_1(a750)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[787, 3727])).
% 1.29/1.17 tff(3733,plain,
% 1.29/1.17 ($false),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[1029, 3732, 3731, 3717, 279, 3719, 3718, 3730, 3729, 3728])).
% 1.29/1.17 tff(3734,plain,(hskp1), inference(lemma,lemma(discharge,[]))).
% 1.29/1.17 tff(3735,plain,
% 1.29/1.17 (~c2_1(a731)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[61, 3734])).
% 1.29/1.17 tff(3736,plain,
% 1.29/1.17 (c3_1(a731)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[72, 3734])).
% 1.29/1.17 tff(3737,plain,
% 1.29/1.17 (c1_1(a731)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[83, 3734])).
% 1.29/1.17 tff(3738,plain,
% 1.29/1.17 (~c0_1(a731)),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[2276, 116, 3737, 3736, 3594, 3591, 3590, 3735, 10])).
% 1.29/1.17 tff(3739,plain,
% 1.29/1.17 ($false),
% 1.29/1.17 inference(unit_resolution,[status(thm)],[139, 116, 3737, 3736, 3735, 133, 3738])).
% 1.29/1.17 % SZS output end Proof
%------------------------------------------------------------------------------