TSTP Solution File: SYN509-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN509-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 23:56:04 EDT 2022
% Result : Unsatisfiable 1.08s 1.00s
% Output : Proof 1.39s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN509-1 : TPTP v8.1.0. Released v2.1.0.
% 0.11/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.34 % Computer : n024.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % 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 04:52:33 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.35 Usage: tptp [options] [-file:]file
% 0.12/0.35 -h, -? prints this message.
% 0.12/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.35 -m, -model generate model.
% 0.12/0.35 -p, -proof generate proof.
% 0.12/0.35 -c, -core generate unsat core of named formulas.
% 0.12/0.35 -st, -statistics display statistics.
% 0.12/0.35 -t:timeout set timeout (in second).
% 0.12/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.35 -<param>:<value> configuration parameter and value.
% 0.12/0.35 -o:<output-file> file to place output in.
% 1.08/1.00 % SZS status Unsatisfiable
% 1.08/1.00 % SZS output start Proof
% 1.08/1.00 tff(c3_1_type, type, (
% 1.08/1.00 c3_1: $i > $o)).
% 1.08/1.00 tff(a463_type, type, (
% 1.08/1.00 a463: $i)).
% 1.08/1.00 tff(c2_1_type, type, (
% 1.08/1.00 c2_1: $i > $o)).
% 1.08/1.00 tff(a445_type, type, (
% 1.08/1.00 a445: $i)).
% 1.08/1.00 tff(c1_1_type, type, (
% 1.08/1.00 c1_1: $i > $o)).
% 1.08/1.00 tff(c0_1_type, type, (
% 1.08/1.00 c0_1: $i > $o)).
% 1.08/1.00 tff(ndr1_0_type, type, (
% 1.08/1.00 ndr1_0: $o)).
% 1.08/1.00 tff(a435_type, type, (
% 1.08/1.00 a435: $i)).
% 1.08/1.00 tff(hskp3_type, type, (
% 1.08/1.00 hskp3: $o)).
% 1.08/1.00 tff(hskp9_type, type, (
% 1.08/1.00 hskp9: $o)).
% 1.08/1.00 tff(a444_type, type, (
% 1.08/1.00 a444: $i)).
% 1.08/1.00 tff(hskp8_type, type, (
% 1.08/1.00 hskp8: $o)).
% 1.08/1.00 tff(a486_type, type, (
% 1.08/1.00 a486: $i)).
% 1.08/1.00 tff(hskp24_type, type, (
% 1.08/1.00 hskp24: $o)).
% 1.08/1.00 tff(a454_type, type, (
% 1.08/1.00 a454: $i)).
% 1.08/1.00 tff(hskp15_type, type, (
% 1.08/1.00 hskp15: $o)).
% 1.08/1.00 tff(a452_type, type, (
% 1.08/1.00 a452: $i)).
% 1.08/1.00 tff(hskp14_type, type, (
% 1.08/1.00 hskp14: $o)).
% 1.08/1.00 tff(a448_type, type, (
% 1.08/1.00 a448: $i)).
% 1.08/1.00 tff(hskp10_type, type, (
% 1.08/1.00 hskp10: $o)).
% 1.08/1.00 tff(a447_type, type, (
% 1.08/1.00 a447: $i)).
% 1.08/1.00 tff(a433_type, type, (
% 1.08/1.00 a433: $i)).
% 1.08/1.00 tff(hskp1_type, type, (
% 1.08/1.00 hskp1: $o)).
% 1.08/1.00 tff(a456_type, type, (
% 1.08/1.00 a456: $i)).
% 1.08/1.00 tff(hskp30_type, type, (
% 1.08/1.00 hskp30: $o)).
% 1.08/1.00 tff(a450_type, type, (
% 1.08/1.00 a450: $i)).
% 1.08/1.00 tff(hskp12_type, type, (
% 1.08/1.00 hskp12: $o)).
% 1.08/1.00 tff(a442_type, type, (
% 1.08/1.00 a442: $i)).
% 1.08/1.00 tff(hskp6_type, type, (
% 1.08/1.00 hskp6: $o)).
% 1.08/1.00 tff(a457_type, type, (
% 1.08/1.00 a457: $i)).
% 1.08/1.00 tff(hskp16_type, type, (
% 1.08/1.00 hskp16: $o)).
% 1.08/1.00 tff(a432_type, type, (
% 1.08/1.00 a432: $i)).
% 1.08/1.00 tff(hskp0_type, type, (
% 1.08/1.00 hskp0: $o)).
% 1.08/1.00 tff(a492_type, type, (
% 1.08/1.00 a492: $i)).
% 1.08/1.00 tff(hskp26_type, type, (
% 1.08/1.00 hskp26: $o)).
% 1.08/1.00 tff(hskp29_type, type, (
% 1.08/1.00 hskp29: $o)).
% 1.08/1.00 tff(a434_type, type, (
% 1.08/1.00 a434: $i)).
% 1.08/1.00 tff(hskp2_type, type, (
% 1.08/1.00 hskp2: $o)).
% 1.08/1.00 tff(a489_type, type, (
% 1.08/1.00 a489: $i)).
% 1.08/1.00 tff(hskp25_type, type, (
% 1.08/1.00 hskp25: $o)).
% 1.08/1.00 tff(a443_type, type, (
% 1.08/1.00 a443: $i)).
% 1.08/1.00 tff(hskp7_type, type, (
% 1.08/1.00 hskp7: $o)).
% 1.08/1.00 tff(hskp23_type, type, (
% 1.08/1.00 hskp23: $o)).
% 1.08/1.00 tff(a437_type, type, (
% 1.08/1.00 a437: $i)).
% 1.08/1.00 tff(hskp28_type, type, (
% 1.08/1.00 hskp28: $o)).
% 1.08/1.00 tff(a449_type, type, (
% 1.08/1.00 a449: $i)).
% 1.08/1.00 tff(hskp11_type, type, (
% 1.08/1.00 hskp11: $o)).
% 1.08/1.00 tff(a467_type, type, (
% 1.08/1.00 a467: $i)).
% 1.08/1.00 tff(hskp19_type, type, (
% 1.08/1.00 hskp19: $o)).
% 1.08/1.00 tff(a484_type, type, (
% 1.08/1.00 a484: $i)).
% 1.08/1.00 tff(hskp17_type, type, (
% 1.08/1.00 hskp17: $o)).
% 1.08/1.00 tff(1,plain,
% 1.08/1.00 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W))) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W))))),
% 1.08/1.00 inference(bind,[status(th)],[])).
% 1.08/1.00 tff(2,plain,
% 1.08/1.00 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 1.08/1.00 inference(quant_intro,[status(thm)],[1])).
% 1.08/1.00 tff(3,plain,
% 1.08/1.00 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 1.08/1.00 inference(rewrite,[status(thm)],[])).
% 1.08/1.00 tff(4,plain,
% 1.08/1.00 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c2_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)))), ((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c2_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(V)))), ((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(V))))), (((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V)))), (((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V))))), ((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c1_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V))) | (~c1_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V))) | (~c1_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W)))), ((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c1_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W))))), (((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c1_1(W))) | c1_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W)))), (((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c1_1(W))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W))))), ((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c1_1(W))) | c1_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W))) | c3_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W)))), ((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c1_1(W))) | c1_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W))))), (((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c1_1(W))) | c1_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W))) | c0_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W))) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W)))), (((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c1_1(W))) | c1_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W))))), ((((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c1_1(W))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c1_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | (~c1_1(W)))), ((((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c1_1(W))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | (~c1_1(W))))), (((((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c1_1(W))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c0_1(W)) | c3_1(W)) <=> (((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | (~c1_1(W))) | c3_1(W)))), rewrite((((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | 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) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))), (((((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c1_1(W))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c0_1(W)) | c3_1(W)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))))),
% 1.08/1.00 inference(bind,[status(th)],[])).
% 1.08/1.00 tff(5,plain,
% 1.08/1.00 (![W: $i, V: $i, U: $i] : ((((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c1_1(W))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c0_1(W)) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 1.08/1.00 inference(quant_intro,[status(thm)],[4])).
% 1.08/1.00 tff(6,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c1_1(W))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c0_1(W)) | c3_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause194')).
% 1.08/1.00 tff(7,plain,
% 1.08/1.00 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 1.08/1.00 inference(modus_ponens,[status(thm)],[6, 5])).
% 1.08/1.00 tff(8,plain,
% 1.08/1.00 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 1.08/1.00 inference(modus_ponens,[status(thm)],[7, 3])).
% 1.08/1.00 tff(9,plain,(
% 1.08/1.00 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 1.08/1.00 inference(skolemize,[status(sab)],[8])).
% 1.08/1.00 tff(10,plain,
% 1.08/1.00 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 1.08/1.00 inference(modus_ponens,[status(thm)],[9, 2])).
% 1.08/1.00 tff(11,plain,
% 1.08/1.00 (^[V: $i, U: $i] : refl((hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V)) <=> (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V)))),
% 1.08/1.00 inference(bind,[status(th)],[])).
% 1.08/1.00 tff(12,plain,
% 1.08/1.00 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V)) <=> ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))),
% 1.08/1.00 inference(quant_intro,[status(thm)],[11])).
% 1.08/1.00 tff(13,plain,
% 1.08/1.00 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V)) <=> ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))),
% 1.08/1.00 inference(rewrite,[status(thm)],[])).
% 1.08/1.00 tff(14,plain,
% 1.08/1.00 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | 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))) | (~ndr1_0)) | c2_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))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V)) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp3) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V)) | hskp3))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V)) | hskp3) <=> (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp3) <=> (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))))),
% 1.08/1.00 inference(bind,[status(th)],[])).
% 1.08/1.00 tff(15,plain,
% 1.08/1.00 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp3) <=> ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))),
% 1.08/1.00 inference(quant_intro,[status(thm)],[14])).
% 1.08/1.00 tff(16,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause161')).
% 1.08/1.00 tff(17,plain,
% 1.08/1.00 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))),
% 1.08/1.00 inference(modus_ponens,[status(thm)],[16, 15])).
% 1.08/1.00 tff(18,plain,
% 1.08/1.00 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))),
% 1.08/1.00 inference(modus_ponens,[status(thm)],[17, 13])).
% 1.08/1.00 tff(19,plain,(
% 1.08/1.00 ![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))),
% 1.08/1.00 inference(skolemize,[status(sab)],[18])).
% 1.08/1.00 tff(20,plain,
% 1.08/1.00 (![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))),
% 1.08/1.00 inference(modus_ponens,[status(thm)],[19, 12])).
% 1.08/1.00 tff(21,plain,
% 1.08/1.00 (^[V: $i, U: $i] : refl((hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V))) <=> (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V))))),
% 1.08/1.00 inference(bind,[status(th)],[])).
% 1.08/1.00 tff(22,plain,
% 1.08/1.00 (![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))),
% 1.08/1.00 inference(quant_intro,[status(thm)],[21])).
% 1.08/1.00 tff(23,plain,
% 1.08/1.00 (![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))),
% 1.08/1.00 inference(rewrite,[status(thm)],[])).
% 1.08/1.00 tff(24,plain,
% 1.08/1.00 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c2_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)))), ((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c2_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(V)))), ((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(V))))), (((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(V))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(V)))), (((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(V))))), ((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c1_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | (~c1_1(V)))), ((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | (~c1_1(V))))), (((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)))), (((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V))))), ((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V))) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))), ((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V))))), (((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) | hskp9) <=> (((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V))) | hskp9))), rewrite((((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V))) | hskp9) <=> (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))), (((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) | hskp9) <=> (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))))),
% 1.08/1.00 inference(bind,[status(th)],[])).
% 1.08/1.00 tff(25,plain,
% 1.08/1.00 (![V: $i, U: $i] : ((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) | hskp9) <=> ![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))),
% 1.08/1.00 inference(quant_intro,[status(thm)],[24])).
% 1.08/1.00 tff(26,axiom,(![V: $i, U: $i] : ((((((((~c2_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c3_1(V)) | hskp9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause166')).
% 1.08/1.00 tff(27,plain,
% 1.08/1.00 (![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))),
% 1.08/1.00 inference(modus_ponens,[status(thm)],[26, 25])).
% 1.08/1.00 tff(28,plain,
% 1.08/1.00 (![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))),
% 1.08/1.00 inference(modus_ponens,[status(thm)],[27, 23])).
% 1.08/1.00 tff(29,plain,(
% 1.08/1.00 ![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))),
% 1.08/1.00 inference(skolemize,[status(sab)],[28])).
% 1.08/1.00 tff(30,plain,
% 1.08/1.00 (![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))),
% 1.08/1.00 inference(modus_ponens,[status(thm)],[29, 22])).
% 1.08/1.00 tff(31,assumption,(~hskp9), introduced(assumption)).
% 1.08/1.00 tff(32,assumption,(~hskp8), introduced(assumption)).
% 1.08/1.00 tff(33,assumption,(hskp3), introduced(assumption)).
% 1.08/1.00 tff(34,plain,
% 1.08/1.00 (((~hskp3) | (~c3_1(a435))) <=> ((~hskp3) | (~c3_1(a435)))),
% 1.08/1.00 inference(rewrite,[status(thm)],[])).
% 1.08/1.00 tff(35,plain,
% 1.08/1.00 (((~c3_1(a435)) | (~hskp3)) <=> ((~hskp3) | (~c3_1(a435)))),
% 1.08/1.00 inference(rewrite,[status(thm)],[])).
% 1.08/1.00 tff(36,axiom,((~c3_1(a435)) | (~hskp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause123')).
% 1.08/1.00 tff(37,plain,
% 1.08/1.00 ((~hskp3) | (~c3_1(a435))),
% 1.08/1.00 inference(modus_ponens,[status(thm)],[36, 35])).
% 1.08/1.00 tff(38,plain,
% 1.08/1.00 ((~hskp3) | (~c3_1(a435))),
% 1.08/1.00 inference(modus_ponens,[status(thm)],[37, 34])).
% 1.08/1.00 tff(39,plain,
% 1.08/1.00 (~c3_1(a435)),
% 1.08/1.00 inference(unit_resolution,[status(thm)],[38, 33])).
% 1.08/1.00 tff(40,assumption,(~c0_1(a445)), introduced(assumption)).
% 1.08/1.00 tff(41,plain,
% 1.08/1.00 (^[U: $i] : refl((hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U))) <=> (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U))))),
% 1.08/1.00 inference(bind,[status(th)],[])).
% 1.08/1.00 tff(42,plain,
% 1.08/1.00 (![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))),
% 1.08/1.00 inference(quant_intro,[status(thm)],[41])).
% 1.08/1.00 tff(43,plain,
% 1.08/1.00 (![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))),
% 1.08/1.00 inference(rewrite,[status(thm)],[])).
% 1.08/1.00 tff(44,plain,
% 1.08/1.00 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c3_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c3_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U))))), (((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))), (((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) <=> ((~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U))))), ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp8) <=> (((~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U))) | hskp8))), rewrite((((~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U))) | hskp8) <=> (hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))), ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp8) <=> (hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U))))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp8) | hskp9) <=> ((hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U))) | hskp9))), rewrite(((hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U))) | hskp9) <=> (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp8) | hskp9) <=> (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))))),
% 1.08/1.00 inference(bind,[status(th)],[])).
% 1.08/1.00 tff(45,plain,
% 1.08/1.00 (![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp8) | hskp9) <=> ![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))),
% 1.08/1.00 inference(quant_intro,[status(thm)],[44])).
% 1.08/1.00 tff(46,axiom,(![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp8) | hskp9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause135')).
% 1.08/1.00 tff(47,plain,
% 1.08/1.00 (![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))),
% 1.08/1.00 inference(modus_ponens,[status(thm)],[46, 45])).
% 1.08/1.00 tff(48,plain,
% 1.08/1.00 (![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))),
% 1.08/1.00 inference(modus_ponens,[status(thm)],[47, 43])).
% 1.08/1.00 tff(49,plain,(
% 1.08/1.00 ![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))),
% 1.08/1.00 inference(skolemize,[status(sab)],[48])).
% 1.08/1.00 tff(50,plain,
% 1.08/1.00 (![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))),
% 1.08/1.00 inference(modus_ponens,[status(thm)],[49, 42])).
% 1.08/1.00 tff(51,assumption,(~c3_1(a445)), introduced(assumption)).
% 1.08/1.00 tff(52,assumption,(~c1_1(a445)), introduced(assumption)).
% 1.08/1.00 tff(53,assumption,(~hskp14), introduced(assumption)).
% 1.08/1.00 tff(54,assumption,(~hskp10), introduced(assumption)).
% 1.08/1.00 tff(55,plain,
% 1.08/1.00 (^[V: $i, U: $i] : refl((hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))) <=> (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))))),
% 1.08/1.00 inference(bind,[status(th)],[])).
% 1.08/1.00 tff(56,plain,
% 1.08/1.00 (![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.08/1.00 inference(quant_intro,[status(thm)],[55])).
% 1.08/1.00 tff(57,plain,
% 1.08/1.00 (![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.08/1.00 inference(rewrite,[status(thm)],[])).
% 1.08/1.00 tff(58,plain,
% 1.08/1.00 (^[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)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V))))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V))))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c2_1(V)))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c2_1(V))))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c2_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c2_1(V))) | c3_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | c3_1(V)) | hskp14) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))) | hskp14))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))) | hskp14) <=> (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | c3_1(V)) | hskp14) <=> (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))))),
% 1.08/1.01 inference(bind,[status(th)],[])).
% 1.08/1.01 tff(59,plain,
% 1.08/1.01 (![V: $i, U: $i] : ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | c3_1(V)) | hskp14) <=> ![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.08/1.01 inference(quant_intro,[status(thm)],[58])).
% 1.08/1.01 tff(60,axiom,(![V: $i, U: $i] : ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | c3_1(V)) | hskp14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause172')).
% 1.08/1.01 tff(61,plain,
% 1.08/1.01 (![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[60, 59])).
% 1.08/1.01 tff(62,plain,
% 1.08/1.01 (![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[61, 57])).
% 1.08/1.01 tff(63,plain,(
% 1.08/1.01 ![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.08/1.01 inference(skolemize,[status(sab)],[62])).
% 1.08/1.01 tff(64,plain,
% 1.08/1.01 (![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[63, 56])).
% 1.08/1.01 tff(65,plain,
% 1.08/1.01 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W)))),
% 1.08/1.01 inference(bind,[status(th)],[])).
% 1.08/1.01 tff(66,plain,
% 1.08/1.01 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.08/1.01 inference(quant_intro,[status(thm)],[65])).
% 1.08/1.01 tff(67,plain,
% 1.08/1.01 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.08/1.01 inference(rewrite,[status(thm)],[])).
% 1.08/1.01 tff(68,plain,
% 1.08/1.01 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~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)) | c1_1(V) | c0_1(V) | c3_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)))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | c0_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V)) | c0_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c0_1(W))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c0_1(W)))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c0_1(W)) | c1_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c1_1(W) | c0_1(W))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c1_1(W) | c0_1(W)))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) | c2_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c1_1(W) | c0_1(W)) | c2_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c1_1(W) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) | c2_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))))),
% 1.08/1.01 inference(bind,[status(th)],[])).
% 1.08/1.01 tff(69,plain,
% 1.08/1.01 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.08/1.01 inference(quant_intro,[status(thm)],[68])).
% 1.08/1.01 tff(70,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) | c2_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause191')).
% 1.08/1.01 tff(71,plain,
% 1.08/1.01 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[70, 69])).
% 1.08/1.01 tff(72,plain,
% 1.08/1.01 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[71, 67])).
% 1.08/1.01 tff(73,plain,(
% 1.08/1.01 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.08/1.01 inference(skolemize,[status(sab)],[72])).
% 1.08/1.01 tff(74,plain,
% 1.08/1.01 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[73, 66])).
% 1.08/1.01 tff(75,plain,
% 1.08/1.01 ((hskp10 | hskp8 | hskp1) <=> (hskp10 | hskp8 | hskp1)),
% 1.08/1.01 inference(rewrite,[status(thm)],[])).
% 1.08/1.01 tff(76,plain,
% 1.08/1.01 (((hskp10 | hskp8) | hskp1) <=> (hskp10 | hskp8 | hskp1)),
% 1.08/1.01 inference(rewrite,[status(thm)],[])).
% 1.08/1.01 tff(77,axiom,((hskp10 | hskp8) | hskp1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause37')).
% 1.08/1.01 tff(78,plain,
% 1.08/1.01 (hskp10 | hskp8 | hskp1),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[77, 76])).
% 1.08/1.01 tff(79,plain,
% 1.08/1.01 (hskp10 | hskp8 | hskp1),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[78, 75])).
% 1.08/1.01 tff(80,plain,
% 1.08/1.01 (hskp10 | hskp8 | hskp1),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[79, 75])).
% 1.08/1.01 tff(81,plain,
% 1.08/1.01 (hskp10 | hskp8 | hskp1),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[80, 75])).
% 1.08/1.01 tff(82,plain,
% 1.08/1.01 (hskp10 | hskp8 | hskp1),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[81, 75])).
% 1.08/1.01 tff(83,plain,
% 1.08/1.01 (hskp10 | hskp8 | hskp1),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[82, 75])).
% 1.08/1.01 tff(84,plain,
% 1.08/1.01 (hskp10 | hskp8 | hskp1),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[83, 75])).
% 1.08/1.01 tff(85,plain,
% 1.08/1.01 (hskp10 | hskp8 | hskp1),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[84, 75])).
% 1.08/1.01 tff(86,plain,
% 1.08/1.01 (hskp1),
% 1.08/1.01 inference(unit_resolution,[status(thm)],[85, 32, 54])).
% 1.08/1.01 tff(87,plain,
% 1.08/1.01 (((~hskp1) | (~c2_1(a433))) <=> ((~hskp1) | (~c2_1(a433)))),
% 1.08/1.01 inference(rewrite,[status(thm)],[])).
% 1.08/1.01 tff(88,plain,
% 1.08/1.01 (((~c2_1(a433)) | (~hskp1)) <=> ((~hskp1) | (~c2_1(a433)))),
% 1.08/1.01 inference(rewrite,[status(thm)],[])).
% 1.08/1.01 tff(89,axiom,((~c2_1(a433)) | (~hskp1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause128')).
% 1.08/1.01 tff(90,plain,
% 1.08/1.01 ((~hskp1) | (~c2_1(a433))),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[89, 88])).
% 1.08/1.01 tff(91,plain,
% 1.08/1.01 ((~hskp1) | (~c2_1(a433))),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[90, 87])).
% 1.08/1.01 tff(92,plain,
% 1.08/1.01 (~c2_1(a433)),
% 1.08/1.01 inference(unit_resolution,[status(thm)],[91, 86])).
% 1.08/1.01 tff(93,plain,
% 1.08/1.01 (((~hskp1) | (~c1_1(a433))) <=> ((~hskp1) | (~c1_1(a433)))),
% 1.08/1.01 inference(rewrite,[status(thm)],[])).
% 1.08/1.01 tff(94,plain,
% 1.08/1.01 (((~c1_1(a433)) | (~hskp1)) <=> ((~hskp1) | (~c1_1(a433)))),
% 1.08/1.01 inference(rewrite,[status(thm)],[])).
% 1.08/1.01 tff(95,axiom,((~c1_1(a433)) | (~hskp1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause127')).
% 1.08/1.01 tff(96,plain,
% 1.08/1.01 ((~hskp1) | (~c1_1(a433))),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[95, 94])).
% 1.08/1.01 tff(97,plain,
% 1.08/1.01 ((~hskp1) | (~c1_1(a433))),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[96, 93])).
% 1.08/1.01 tff(98,plain,
% 1.08/1.01 (~c1_1(a433)),
% 1.08/1.01 inference(unit_resolution,[status(thm)],[97, 86])).
% 1.08/1.01 tff(99,plain,
% 1.08/1.01 (((~hskp1) | (~c0_1(a433))) <=> ((~hskp1) | (~c0_1(a433)))),
% 1.08/1.01 inference(rewrite,[status(thm)],[])).
% 1.08/1.01 tff(100,plain,
% 1.08/1.01 (((~c0_1(a433)) | (~hskp1)) <=> ((~hskp1) | (~c0_1(a433)))),
% 1.08/1.01 inference(rewrite,[status(thm)],[])).
% 1.08/1.01 tff(101,axiom,((~c0_1(a433)) | (~hskp1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause126')).
% 1.08/1.01 tff(102,plain,
% 1.08/1.01 ((~hskp1) | (~c0_1(a433))),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[101, 100])).
% 1.08/1.01 tff(103,plain,
% 1.08/1.01 ((~hskp1) | (~c0_1(a433))),
% 1.08/1.01 inference(modus_ponens,[status(thm)],[102, 99])).
% 1.20/1.01 tff(104,plain,
% 1.20/1.01 (~c0_1(a433)),
% 1.20/1.01 inference(unit_resolution,[status(thm)],[103, 86])).
% 1.20/1.01 tff(105,assumption,(~hskp30), introduced(assumption)).
% 1.20/1.01 tff(106,plain,
% 1.20/1.01 ((hskp30 | hskp24 | hskp14) <=> (hskp30 | hskp24 | hskp14)),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(107,plain,
% 1.20/1.01 (((hskp30 | hskp14) | hskp24) <=> (hskp30 | hskp24 | hskp14)),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(108,plain,
% 1.20/1.01 ((hskp30 | hskp14) <=> (hskp30 | hskp14)),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(109,plain,
% 1.20/1.01 (((hskp30 | hskp14) | hskp24) <=> ((hskp30 | hskp14) | hskp24)),
% 1.20/1.01 inference(monotonicity,[status(thm)],[108])).
% 1.20/1.01 tff(110,plain,
% 1.20/1.01 (((hskp30 | hskp14) | hskp24) <=> (hskp30 | hskp24 | hskp14)),
% 1.20/1.01 inference(transitivity,[status(thm)],[109, 107])).
% 1.20/1.01 tff(111,axiom,((hskp30 | hskp14) | hskp24), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause32')).
% 1.20/1.01 tff(112,plain,
% 1.20/1.01 (hskp30 | hskp24 | hskp14),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[111, 110])).
% 1.20/1.01 tff(113,plain,
% 1.20/1.01 (hskp30 | hskp24 | hskp14),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[112, 106])).
% 1.20/1.01 tff(114,plain,
% 1.20/1.01 (hskp30 | hskp24 | hskp14),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[113, 106])).
% 1.20/1.01 tff(115,plain,
% 1.20/1.01 (hskp30 | hskp24 | hskp14),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[114, 106])).
% 1.20/1.01 tff(116,plain,
% 1.20/1.01 (hskp30 | hskp24 | hskp14),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[115, 106])).
% 1.20/1.01 tff(117,plain,
% 1.20/1.01 (hskp30 | hskp24 | hskp14),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[116, 106])).
% 1.20/1.01 tff(118,plain,
% 1.20/1.01 (hskp30 | hskp24 | hskp14),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[117, 106])).
% 1.20/1.01 tff(119,plain,
% 1.20/1.01 (hskp30 | hskp24 | hskp14),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[118, 106])).
% 1.20/1.01 tff(120,plain,
% 1.20/1.01 (hskp24),
% 1.20/1.01 inference(unit_resolution,[status(thm)],[119, 105, 53])).
% 1.20/1.01 tff(121,plain,
% 1.20/1.01 (((~hskp24) | (~c0_1(a486))) <=> ((~hskp24) | (~c0_1(a486)))),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(122,plain,
% 1.20/1.01 (((~c0_1(a486)) | (~hskp24)) <=> ((~hskp24) | (~c0_1(a486)))),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(123,axiom,((~c0_1(a486)) | (~hskp24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause88')).
% 1.20/1.01 tff(124,plain,
% 1.20/1.01 ((~hskp24) | (~c0_1(a486))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[123, 122])).
% 1.20/1.01 tff(125,plain,
% 1.20/1.01 ((~hskp24) | (~c0_1(a486))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[124, 121])).
% 1.20/1.01 tff(126,plain,
% 1.20/1.01 (~c0_1(a486)),
% 1.20/1.01 inference(unit_resolution,[status(thm)],[125, 120])).
% 1.20/1.01 tff(127,plain,
% 1.20/1.01 (((~hskp24) | c2_1(a486)) <=> ((~hskp24) | c2_1(a486))),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(128,axiom,((~hskp24) | c2_1(a486)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause52')).
% 1.20/1.01 tff(129,plain,
% 1.20/1.01 ((~hskp24) | c2_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[128, 127])).
% 1.20/1.01 tff(130,plain,
% 1.20/1.01 ((~hskp24) | c2_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[129, 127])).
% 1.20/1.01 tff(131,plain,
% 1.20/1.01 ((~hskp24) | c2_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[130, 127])).
% 1.20/1.01 tff(132,plain,
% 1.20/1.01 ((~hskp24) | c2_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[131, 127])).
% 1.20/1.01 tff(133,plain,
% 1.20/1.01 ((~hskp24) | c2_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[132, 127])).
% 1.20/1.01 tff(134,plain,
% 1.20/1.01 ((~hskp24) | c2_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[133, 127])).
% 1.20/1.01 tff(135,plain,
% 1.20/1.01 ((~hskp24) | c2_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[134, 127])).
% 1.20/1.01 tff(136,plain,
% 1.20/1.01 ((~hskp24) | c2_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[135, 127])).
% 1.20/1.01 tff(137,plain,
% 1.20/1.01 (c2_1(a486)),
% 1.20/1.01 inference(unit_resolution,[status(thm)],[136, 120])).
% 1.20/1.01 tff(138,plain,
% 1.20/1.01 (((~hskp24) | c1_1(a486)) <=> ((~hskp24) | c1_1(a486))),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(139,axiom,((~hskp24) | c1_1(a486)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause51')).
% 1.20/1.01 tff(140,plain,
% 1.20/1.01 ((~hskp24) | c1_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[139, 138])).
% 1.20/1.01 tff(141,plain,
% 1.20/1.01 ((~hskp24) | c1_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[140, 138])).
% 1.20/1.01 tff(142,plain,
% 1.20/1.01 ((~hskp24) | c1_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[141, 138])).
% 1.20/1.01 tff(143,plain,
% 1.20/1.01 ((~hskp24) | c1_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[142, 138])).
% 1.20/1.01 tff(144,plain,
% 1.20/1.01 ((~hskp24) | c1_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[143, 138])).
% 1.20/1.01 tff(145,plain,
% 1.20/1.01 ((~hskp24) | c1_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[144, 138])).
% 1.20/1.01 tff(146,plain,
% 1.20/1.01 ((~hskp24) | c1_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[145, 138])).
% 1.20/1.01 tff(147,plain,
% 1.20/1.01 ((~hskp24) | c1_1(a486)),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[146, 138])).
% 1.20/1.01 tff(148,plain,
% 1.20/1.01 (c1_1(a486)),
% 1.20/1.01 inference(unit_resolution,[status(thm)],[147, 120])).
% 1.20/1.01 tff(149,plain,
% 1.20/1.01 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))))),
% 1.20/1.01 inference(bind,[status(th)],[])).
% 1.20/1.01 tff(150,plain,
% 1.20/1.01 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.01 inference(quant_intro,[status(thm)],[149])).
% 1.20/1.01 tff(151,plain,
% 1.20/1.01 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(152,plain,
% 1.20/1.01 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c1_1(V)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c1_1(V))))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c1_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V))) | (~c2_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c3_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W)))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c0_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W)))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))))), ((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c3_1(U)) | c0_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c2_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c2_1(W)))), ((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c3_1(U)) | c0_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c2_1(W))))), (((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c3_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c2_1(W))) | c1_1(W)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c2_1(W))) | c1_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))), (((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c3_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))))),
% 1.20/1.01 inference(bind,[status(th)],[])).
% 1.20/1.01 tff(153,plain,
% 1.20/1.01 (![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c3_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.01 inference(quant_intro,[status(thm)],[152])).
% 1.20/1.01 tff(154,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c2_1(W))) | c3_1(U)) | c0_1(V)) | c0_1(W)) | c1_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause196')).
% 1.20/1.01 tff(155,plain,
% 1.20/1.01 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[154, 153])).
% 1.20/1.01 tff(156,plain,
% 1.20/1.01 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[155, 151])).
% 1.20/1.01 tff(157,plain,(
% 1.20/1.01 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.01 inference(skolemize,[status(sab)],[156])).
% 1.20/1.01 tff(158,plain,
% 1.20/1.01 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[157, 150])).
% 1.20/1.01 tff(159,plain,
% 1.20/1.01 (^[U: $i] : refl((hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U))) <=> (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U))))),
% 1.20/1.01 inference(bind,[status(th)],[])).
% 1.20/1.01 tff(160,plain,
% 1.20/1.01 (![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))),
% 1.20/1.01 inference(quant_intro,[status(thm)],[159])).
% 1.20/1.01 tff(161,plain,
% 1.20/1.01 (![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(162,plain,
% 1.20/1.01 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | 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) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp14) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U))) | hskp14))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U))) | hskp14) <=> (hskp14 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp14) <=> (hskp14 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp14) | hskp12) <=> ((hskp14 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U))) | hskp12))), rewrite(((hskp14 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U))) | hskp12) <=> (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp14) | hskp12) <=> (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))))),
% 1.20/1.01 inference(bind,[status(th)],[])).
% 1.20/1.01 tff(163,plain,
% 1.20/1.01 (![U: $i] : ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp14) | hskp12) <=> ![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))),
% 1.20/1.01 inference(quant_intro,[status(thm)],[162])).
% 1.20/1.01 tff(164,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp14) | hskp12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause150')).
% 1.20/1.01 tff(165,plain,
% 1.20/1.01 (![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[164, 163])).
% 1.20/1.01 tff(166,plain,
% 1.20/1.01 (![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[165, 161])).
% 1.20/1.01 tff(167,plain,(
% 1.20/1.01 ![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))),
% 1.20/1.01 inference(skolemize,[status(sab)],[166])).
% 1.20/1.01 tff(168,plain,
% 1.20/1.01 (![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[167, 160])).
% 1.20/1.01 tff(169,plain,
% 1.20/1.01 (^[V: $i, U: $i] : refl((hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) <=> (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))))),
% 1.20/1.01 inference(bind,[status(th)],[])).
% 1.20/1.01 tff(170,plain,
% 1.20/1.01 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.20/1.01 inference(quant_intro,[status(thm)],[169])).
% 1.20/1.01 tff(171,plain,
% 1.20/1.01 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(172,plain,
% 1.20/1.01 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V)))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V))))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V)))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V))))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) | hskp6) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) | hskp6))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) | hskp6) <=> (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) | hskp6) <=> (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))))),
% 1.20/1.01 inference(bind,[status(th)],[])).
% 1.20/1.01 tff(173,plain,
% 1.20/1.01 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) | hskp6) <=> ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.20/1.01 inference(quant_intro,[status(thm)],[172])).
% 1.20/1.01 tff(174,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) | hskp6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause182')).
% 1.20/1.01 tff(175,plain,
% 1.20/1.01 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[174, 173])).
% 1.20/1.01 tff(176,plain,
% 1.20/1.01 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[175, 171])).
% 1.20/1.01 tff(177,plain,(
% 1.20/1.01 ![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.20/1.01 inference(skolemize,[status(sab)],[176])).
% 1.20/1.01 tff(178,plain,
% 1.20/1.01 (![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.20/1.01 inference(modus_ponens,[status(thm)],[177, 170])).
% 1.20/1.01 tff(179,plain,
% 1.20/1.01 (^[U: $i] : refl((hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) <=> (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))))),
% 1.20/1.01 inference(bind,[status(th)],[])).
% 1.20/1.01 tff(180,plain,
% 1.20/1.01 (![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.20/1.01 inference(quant_intro,[status(thm)],[179])).
% 1.20/1.01 tff(181,plain,
% 1.20/1.01 (![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.20/1.01 inference(rewrite,[status(thm)],[])).
% 1.20/1.01 tff(182,plain,
% 1.20/1.01 (^[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)) | hskp30) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp30))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp30) <=> (hskp30 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))), ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp30) <=> (hskp30 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp30) | hskp16) <=> ((hskp30 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp16))), rewrite(((hskp30 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U))) | hskp16) <=> (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))), (((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp30) | hskp16) <=> (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))))),
% 1.20/1.02 inference(bind,[status(th)],[])).
% 1.20/1.02 tff(183,plain,
% 1.20/1.02 (![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp30) | hskp16) <=> ![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.20/1.02 inference(quant_intro,[status(thm)],[182])).
% 1.20/1.02 tff(184,axiom,(![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp30) | hskp16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause138')).
% 1.20/1.02 tff(185,plain,
% 1.20/1.02 (![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[184, 183])).
% 1.20/1.02 tff(186,plain,
% 1.20/1.02 (![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[185, 181])).
% 1.20/1.02 tff(187,plain,(
% 1.20/1.02 ![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.20/1.02 inference(skolemize,[status(sab)],[186])).
% 1.20/1.02 tff(188,plain,
% 1.20/1.02 (![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[187, 180])).
% 1.20/1.02 tff(189,assumption,(c1_1(a486)), introduced(assumption)).
% 1.20/1.02 tff(190,assumption,(~c0_1(a486)), introduced(assumption)).
% 1.20/1.02 tff(191,assumption,(c2_1(a486)), introduced(assumption)).
% 1.20/1.02 tff(192,assumption,(~hskp0), introduced(assumption)).
% 1.20/1.02 tff(193,assumption,(~c3_1(a486)), introduced(assumption)).
% 1.20/1.02 tff(194,assumption,(~ndr1_0), introduced(assumption)).
% 1.20/1.02 tff(195,plain,
% 1.20/1.02 ((ndr1_0 | (~hskp14)) <=> (ndr1_0 | (~hskp14))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(196,plain,
% 1.20/1.02 (((~hskp14) | ndr1_0) <=> (ndr1_0 | (~hskp14))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(197,axiom,((~hskp14) | ndr1_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause17')).
% 1.20/1.02 tff(198,plain,
% 1.20/1.02 (ndr1_0 | (~hskp14)),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[197, 196])).
% 1.20/1.02 tff(199,plain,
% 1.20/1.02 (ndr1_0 | (~hskp14)),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[198, 195])).
% 1.20/1.02 tff(200,plain,
% 1.20/1.02 (~hskp14),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[199, 194])).
% 1.20/1.02 tff(201,plain,
% 1.20/1.02 (((~hskp30) | ndr1_0) <=> ((~hskp30) | ndr1_0)),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(202,axiom,((~hskp30) | ndr1_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause1')).
% 1.20/1.02 tff(203,plain,
% 1.20/1.02 ((~hskp30) | ndr1_0),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[202, 201])).
% 1.20/1.02 tff(204,plain,
% 1.20/1.02 ((~hskp30) | ndr1_0),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[203, 201])).
% 1.20/1.02 tff(205,plain,
% 1.20/1.02 ((~hskp30) | ndr1_0),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[204, 201])).
% 1.20/1.02 tff(206,plain,
% 1.20/1.02 ((~hskp30) | ndr1_0),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[205, 201])).
% 1.20/1.02 tff(207,plain,
% 1.20/1.02 ((~hskp30) | ndr1_0),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[206, 201])).
% 1.20/1.02 tff(208,plain,
% 1.20/1.02 ((~hskp30) | ndr1_0),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[207, 201])).
% 1.20/1.02 tff(209,plain,
% 1.20/1.02 ((~hskp30) | ndr1_0),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[208, 201])).
% 1.20/1.02 tff(210,plain,
% 1.20/1.02 ((~hskp30) | ndr1_0),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[209, 201])).
% 1.20/1.02 tff(211,plain,
% 1.20/1.02 (~hskp30),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[210, 194])).
% 1.20/1.02 tff(212,plain,
% 1.20/1.02 ((ndr1_0 | (~hskp24)) <=> (ndr1_0 | (~hskp24))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(213,plain,
% 1.20/1.02 (((~hskp24) | ndr1_0) <=> (ndr1_0 | (~hskp24))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(214,axiom,((~hskp24) | ndr1_0), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause7')).
% 1.20/1.02 tff(215,plain,
% 1.20/1.02 (ndr1_0 | (~hskp24)),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[214, 213])).
% 1.20/1.02 tff(216,plain,
% 1.20/1.02 (ndr1_0 | (~hskp24)),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[215, 212])).
% 1.20/1.02 tff(217,plain,
% 1.20/1.02 (~hskp24),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[216, 194])).
% 1.20/1.02 tff(218,plain,
% 1.20/1.02 ($false),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[119, 217, 211, 200])).
% 1.20/1.02 tff(219,plain,(ndr1_0), inference(lemma,lemma(discharge,[]))).
% 1.20/1.02 tff(220,plain,
% 1.20/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(221,plain,
% 1.20/1.02 (((~ndr1_0) | c3_1(a445) | c1_1(a445) | (~c2_1(a445)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486))) <=> (c0_1(a486) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(222,plain,
% 1.20/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a445) | c1_1(a445) | (~c2_1(a445)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486))))),
% 1.20/1.02 inference(monotonicity,[status(thm)],[221])).
% 1.20/1.02 tff(223,plain,
% 1.20/1.02 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a445) | c1_1(a445) | (~c2_1(a445)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.20/1.02 inference(transitivity,[status(thm)],[222, 220])).
% 1.20/1.02 tff(224,plain,
% 1.20/1.02 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a445) | c1_1(a445) | (~c2_1(a445)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))),
% 1.20/1.02 inference(quant_inst,[status(thm)],[])).
% 1.20/1.02 tff(225,plain,
% 1.20/1.02 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[224, 223])).
% 1.20/1.02 tff(226,plain,
% 1.20/1.02 ((~c2_1(a445)) | c3_1(a486)),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[225, 219, 189, 191, 190, 52, 51, 10])).
% 1.20/1.02 tff(227,plain,
% 1.20/1.02 (~c2_1(a445)),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[226, 193])).
% 1.20/1.02 tff(228,plain,
% 1.20/1.02 (^[V: $i, U: $i] : refl((hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V)) <=> (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V)))),
% 1.20/1.02 inference(bind,[status(th)],[])).
% 1.20/1.02 tff(229,plain,
% 1.20/1.02 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V)) <=> ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))),
% 1.20/1.02 inference(quant_intro,[status(thm)],[228])).
% 1.20/1.02 tff(230,plain,
% 1.20/1.02 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V)) <=> ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(231,plain,
% 1.20/1.02 (^[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) | c3_1(U) | c0_1(U) | (~c2_1(U)))), (((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U))))), ((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U))) | c0_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U))) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V))), ((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V)))), (((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V)) | c1_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V))), (((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V)))), ((((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V)) | c2_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c1_1(V) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))), ((((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V)))), (((((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) | hskp0) <=> (((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V)) | hskp0))), rewrite((((~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V)) | hskp0) <=> (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))), (((((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) | hskp0) <=> (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))))),
% 1.20/1.02 inference(bind,[status(th)],[])).
% 1.20/1.02 tff(232,plain,
% 1.20/1.02 (![V: $i, U: $i] : ((((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) | hskp0) <=> ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))),
% 1.20/1.02 inference(quant_intro,[status(thm)],[231])).
% 1.20/1.02 tff(233,axiom,(![V: $i, U: $i] : ((((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c2_1(V)) | hskp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause158')).
% 1.20/1.02 tff(234,plain,
% 1.20/1.02 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[233, 232])).
% 1.20/1.02 tff(235,plain,
% 1.20/1.02 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[234, 230])).
% 1.20/1.02 tff(236,plain,(
% 1.20/1.02 ![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))),
% 1.20/1.02 inference(skolemize,[status(sab)],[235])).
% 1.20/1.02 tff(237,plain,
% 1.20/1.02 (![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[236, 229])).
% 1.20/1.02 tff(238,plain,
% 1.20/1.02 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | (hskp0 | c0_1(a486) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | c2_1(a445) | c3_1(a486) | (~c2_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | hskp0 | c0_1(a486) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | c2_1(a445) | c3_1(a486) | (~c2_1(a486)))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(239,plain,
% 1.20/1.02 ((hskp0 | (~ndr1_0) | c3_1(a486) | c0_1(a486) | (~c2_1(a486)) | c2_1(a445) | c1_1(a445) | c0_1(a445)) <=> (hskp0 | c0_1(a486) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | c2_1(a445) | c3_1(a486) | (~c2_1(a486)))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(240,plain,
% 1.20/1.02 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | (hskp0 | (~ndr1_0) | c3_1(a486) | c0_1(a486) | (~c2_1(a486)) | c2_1(a445) | c1_1(a445) | c0_1(a445))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | (hskp0 | c0_1(a486) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | c2_1(a445) | c3_1(a486) | (~c2_1(a486))))),
% 1.20/1.02 inference(monotonicity,[status(thm)],[239])).
% 1.20/1.02 tff(241,plain,
% 1.20/1.02 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | (hskp0 | (~ndr1_0) | c3_1(a486) | c0_1(a486) | (~c2_1(a486)) | c2_1(a445) | c1_1(a445) | c0_1(a445))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | hskp0 | c0_1(a486) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | c2_1(a445) | c3_1(a486) | (~c2_1(a486)))),
% 1.20/1.02 inference(transitivity,[status(thm)],[240, 238])).
% 1.20/1.02 tff(242,plain,
% 1.20/1.02 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | (hskp0 | (~ndr1_0) | c3_1(a486) | c0_1(a486) | (~c2_1(a486)) | c2_1(a445) | c1_1(a445) | c0_1(a445))),
% 1.20/1.02 inference(quant_inst,[status(thm)],[])).
% 1.20/1.02 tff(243,plain,
% 1.20/1.02 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | hskp0 | c0_1(a486) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | c2_1(a445) | c3_1(a486) | (~c2_1(a486))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[242, 241])).
% 1.20/1.02 tff(244,plain,
% 1.20/1.02 ($false),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[243, 219, 192, 191, 190, 40, 52, 237, 193, 227])).
% 1.20/1.02 tff(245,plain,(c3_1(a486) | hskp0 | (~c2_1(a486)) | c0_1(a486) | c0_1(a445) | c1_1(a445) | (~c1_1(a486)) | c3_1(a445)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.02 tff(246,plain,
% 1.20/1.02 (c3_1(a486)),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[245, 192, 191, 190, 40, 52, 189, 51])).
% 1.20/1.02 tff(247,plain,
% 1.20/1.02 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | c0_1(a486) | c0_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c2_1(a486)) | (~c3_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a486) | c0_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c2_1(a486)) | (~c3_1(a486)))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(248,plain,
% 1.20/1.02 ((hskp14 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a445) | c3_1(a445) | (~c2_1(a445))) <=> (hskp14 | c0_1(a486) | c0_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c2_1(a486)) | (~c3_1(a486)))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(249,plain,
% 1.20/1.02 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a445) | c3_1(a445) | (~c2_1(a445)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | c0_1(a486) | c0_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c2_1(a486)) | (~c3_1(a486))))),
% 1.20/1.02 inference(monotonicity,[status(thm)],[248])).
% 1.20/1.02 tff(250,plain,
% 1.20/1.02 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a445) | c3_1(a445) | (~c2_1(a445)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a486) | c0_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c2_1(a486)) | (~c3_1(a486)))),
% 1.20/1.02 inference(transitivity,[status(thm)],[249, 247])).
% 1.20/1.02 tff(251,plain,
% 1.20/1.02 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a445) | c3_1(a445) | (~c2_1(a445)))),
% 1.20/1.02 inference(quant_inst,[status(thm)],[])).
% 1.20/1.02 tff(252,plain,
% 1.20/1.02 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a486) | c0_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c2_1(a486)) | (~c3_1(a486))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[251, 250])).
% 1.20/1.02 tff(253,plain,
% 1.20/1.02 (c3_1(a445) | (~c2_1(a445)) | (~c3_1(a486))),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[252, 219, 53, 191, 190, 40, 64])).
% 1.20/1.02 tff(254,plain,
% 1.20/1.02 (~c2_1(a445)),
% 1.20/1.02 inference(unit_resolution,[status(thm)],[253, 246, 51])).
% 1.20/1.02 tff(255,plain,
% 1.20/1.02 (^[V: $i, U: $i] : refl((hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) <=> (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))))),
% 1.20/1.02 inference(bind,[status(th)],[])).
% 1.20/1.02 tff(256,plain,
% 1.20/1.02 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.20/1.02 inference(quant_intro,[status(thm)],[255])).
% 1.20/1.02 tff(257,plain,
% 1.20/1.02 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(258,plain,
% 1.20/1.02 (^[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))) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V)))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V))))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V)))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V))))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_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(V))))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | hskp8) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) | hskp8))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V))) | hskp8) <=> (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | hskp8) <=> (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))))),
% 1.20/1.02 inference(bind,[status(th)],[])).
% 1.20/1.02 tff(259,plain,
% 1.20/1.02 (![V: $i, U: $i] : ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | hskp8) <=> ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.20/1.02 inference(quant_intro,[status(thm)],[258])).
% 1.20/1.02 tff(260,axiom,(![V: $i, U: $i] : ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause181')).
% 1.20/1.02 tff(261,plain,
% 1.20/1.02 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[260, 259])).
% 1.20/1.02 tff(262,plain,
% 1.20/1.02 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[261, 257])).
% 1.20/1.02 tff(263,plain,(
% 1.20/1.02 ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.20/1.02 inference(skolemize,[status(sab)],[262])).
% 1.20/1.02 tff(264,plain,
% 1.20/1.02 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))),
% 1.20/1.02 inference(modus_ponens,[status(thm)],[263, 256])).
% 1.20/1.02 tff(265,plain,
% 1.20/1.02 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | c0_1(a486) | (~ndr1_0) | (~c1_1(a486)) | (~c2_1(a486)) | (~c3_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp8 | c0_1(a486) | (~ndr1_0) | (~c1_1(a486)) | (~c2_1(a486)) | (~c3_1(a486)))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(266,plain,
% 1.20/1.02 ((hskp8 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486))) <=> (hskp8 | c0_1(a486) | (~ndr1_0) | (~c1_1(a486)) | (~c2_1(a486)) | (~c3_1(a486)))),
% 1.20/1.02 inference(rewrite,[status(thm)],[])).
% 1.20/1.02 tff(267,plain,
% 1.20/1.02 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | c0_1(a486) | (~ndr1_0) | (~c1_1(a486)) | (~c2_1(a486)) | (~c3_1(a486))))),
% 1.20/1.02 inference(monotonicity,[status(thm)],[266])).
% 1.20/1.02 tff(268,plain,
% 1.20/1.02 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp8 | c0_1(a486) | (~ndr1_0) | (~c1_1(a486)) | (~c2_1(a486)) | (~c3_1(a486)))),
% 1.20/1.02 inference(transitivity,[status(thm)],[267, 265])).
% 1.20/1.03 tff(269,plain,
% 1.20/1.03 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.20/1.03 inference(quant_inst,[status(thm)],[])).
% 1.20/1.03 tff(270,plain,
% 1.20/1.03 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp8 | c0_1(a486) | (~ndr1_0) | (~c1_1(a486)) | (~c2_1(a486)) | (~c3_1(a486))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[269, 268])).
% 1.20/1.03 tff(271,plain,
% 1.20/1.03 (hskp8 | (~c3_1(a486))),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[270, 219, 189, 191, 190, 264])).
% 1.20/1.03 tff(272,plain,
% 1.20/1.03 (hskp8),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[271, 246])).
% 1.20/1.03 tff(273,plain,
% 1.20/1.03 (((~hskp8) | (~c3_1(a444))) <=> ((~hskp8) | (~c3_1(a444)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(274,plain,
% 1.20/1.03 (((~c3_1(a444)) | (~hskp8)) <=> ((~hskp8) | (~c3_1(a444)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(275,axiom,((~c3_1(a444)) | (~hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause115')).
% 1.20/1.03 tff(276,plain,
% 1.20/1.03 ((~hskp8) | (~c3_1(a444))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[275, 274])).
% 1.20/1.03 tff(277,plain,
% 1.20/1.03 ((~hskp8) | (~c3_1(a444))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[276, 273])).
% 1.20/1.03 tff(278,plain,
% 1.20/1.03 (~c3_1(a444)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[277, 272])).
% 1.20/1.03 tff(279,plain,
% 1.20/1.03 (((~hskp8) | (~c0_1(a444))) <=> ((~hskp8) | (~c0_1(a444)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(280,plain,
% 1.20/1.03 (((~c0_1(a444)) | (~hskp8)) <=> ((~hskp8) | (~c0_1(a444)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(281,axiom,((~c0_1(a444)) | (~hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause114')).
% 1.20/1.03 tff(282,plain,
% 1.20/1.03 ((~hskp8) | (~c0_1(a444))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[281, 280])).
% 1.20/1.03 tff(283,plain,
% 1.20/1.03 ((~hskp8) | (~c0_1(a444))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[282, 279])).
% 1.20/1.03 tff(284,plain,
% 1.20/1.03 (~c0_1(a444)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[283, 272])).
% 1.20/1.03 tff(285,plain,
% 1.20/1.03 (((~hskp8) | c2_1(a444)) <=> ((~hskp8) | c2_1(a444))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(286,axiom,((~hskp8) | c2_1(a444)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause73')).
% 1.20/1.03 tff(287,plain,
% 1.20/1.03 ((~hskp8) | c2_1(a444)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[286, 285])).
% 1.20/1.03 tff(288,plain,
% 1.20/1.03 ((~hskp8) | c2_1(a444)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[287, 285])).
% 1.20/1.03 tff(289,plain,
% 1.20/1.03 ((~hskp8) | c2_1(a444)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[288, 285])).
% 1.20/1.03 tff(290,plain,
% 1.20/1.03 ((~hskp8) | c2_1(a444)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[289, 285])).
% 1.20/1.03 tff(291,plain,
% 1.20/1.03 ((~hskp8) | c2_1(a444)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[290, 285])).
% 1.20/1.03 tff(292,plain,
% 1.20/1.03 ((~hskp8) | c2_1(a444)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[291, 285])).
% 1.20/1.03 tff(293,plain,
% 1.20/1.03 ((~hskp8) | c2_1(a444)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[292, 285])).
% 1.20/1.03 tff(294,plain,
% 1.20/1.03 ((~hskp8) | c2_1(a444)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[293, 285])).
% 1.20/1.03 tff(295,plain,
% 1.20/1.03 (c2_1(a444)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[294, 272])).
% 1.20/1.03 tff(296,plain,
% 1.20/1.03 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | (hskp0 | c0_1(a445) | c1_1(a445) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | c2_1(a445))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | hskp0 | c0_1(a445) | c1_1(a445) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | c2_1(a445))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(297,plain,
% 1.20/1.03 ((hskp0 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c2_1(a445) | c1_1(a445) | c0_1(a445)) <=> (hskp0 | c0_1(a445) | c1_1(a445) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | c2_1(a445))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(298,plain,
% 1.20/1.03 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | (hskp0 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c2_1(a445) | c1_1(a445) | c0_1(a445))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | (hskp0 | c0_1(a445) | c1_1(a445) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | c2_1(a445)))),
% 1.20/1.03 inference(monotonicity,[status(thm)],[297])).
% 1.20/1.03 tff(299,plain,
% 1.20/1.03 (((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | (hskp0 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c2_1(a445) | c1_1(a445) | c0_1(a445))) <=> ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | hskp0 | c0_1(a445) | c1_1(a445) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | c2_1(a445))),
% 1.20/1.03 inference(transitivity,[status(thm)],[298, 296])).
% 1.20/1.03 tff(300,plain,
% 1.20/1.03 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | (hskp0 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c2_1(a445) | c1_1(a445) | c0_1(a445))),
% 1.20/1.03 inference(quant_inst,[status(thm)],[])).
% 1.20/1.03 tff(301,plain,
% 1.20/1.03 ((~![V: $i, U: $i] : (hskp0 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c2_1(V) | c1_1(V) | c0_1(V))) | hskp0 | c0_1(a445) | c1_1(a445) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | c2_1(a445)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[300, 299])).
% 1.20/1.03 tff(302,plain,
% 1.20/1.03 ($false),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[301, 219, 192, 295, 40, 52, 284, 278, 237, 254])).
% 1.20/1.03 tff(303,plain,(hskp0 | c0_1(a445) | c1_1(a445) | c3_1(a445) | hskp14 | (~c2_1(a486)) | c0_1(a486) | (~c1_1(a486))), inference(lemma,lemma(discharge,[]))).
% 1.20/1.03 tff(304,plain,
% 1.20/1.03 (hskp0),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[303, 51, 52, 40, 53, 137, 126, 148])).
% 1.20/1.03 tff(305,plain,
% 1.20/1.03 (((~hskp0) | (~c2_1(a432))) <=> ((~hskp0) | (~c2_1(a432)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(306,plain,
% 1.20/1.03 (((~c2_1(a432)) | (~hskp0)) <=> ((~hskp0) | (~c2_1(a432)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(307,axiom,((~c2_1(a432)) | (~hskp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause130')).
% 1.20/1.03 tff(308,plain,
% 1.20/1.03 ((~hskp0) | (~c2_1(a432))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[307, 306])).
% 1.20/1.03 tff(309,plain,
% 1.20/1.03 ((~hskp0) | (~c2_1(a432))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[308, 305])).
% 1.20/1.03 tff(310,plain,
% 1.20/1.03 (~c2_1(a432)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[309, 304])).
% 1.20/1.03 tff(311,plain,
% 1.20/1.03 (((~hskp0) | (~c0_1(a432))) <=> ((~hskp0) | (~c0_1(a432)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(312,plain,
% 1.20/1.03 (((~c0_1(a432)) | (~hskp0)) <=> ((~hskp0) | (~c0_1(a432)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(313,axiom,((~c0_1(a432)) | (~hskp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause129')).
% 1.20/1.03 tff(314,plain,
% 1.20/1.03 ((~hskp0) | (~c0_1(a432))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[313, 312])).
% 1.20/1.03 tff(315,plain,
% 1.20/1.03 ((~hskp0) | (~c0_1(a432))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[314, 311])).
% 1.20/1.03 tff(316,plain,
% 1.20/1.03 (~c0_1(a432)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[315, 304])).
% 1.20/1.03 tff(317,plain,
% 1.20/1.03 (((~hskp0) | c3_1(a432)) <=> ((~hskp0) | c3_1(a432))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(318,axiom,((~hskp0) | c3_1(a432)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause82')).
% 1.20/1.03 tff(319,plain,
% 1.20/1.03 ((~hskp0) | c3_1(a432)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[318, 317])).
% 1.20/1.03 tff(320,plain,
% 1.20/1.03 ((~hskp0) | c3_1(a432)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[319, 317])).
% 1.20/1.03 tff(321,plain,
% 1.20/1.03 ((~hskp0) | c3_1(a432)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[320, 317])).
% 1.20/1.03 tff(322,plain,
% 1.20/1.03 ((~hskp0) | c3_1(a432)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[321, 317])).
% 1.20/1.03 tff(323,plain,
% 1.20/1.03 ((~hskp0) | c3_1(a432)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[322, 317])).
% 1.20/1.03 tff(324,plain,
% 1.20/1.03 ((~hskp0) | c3_1(a432)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[323, 317])).
% 1.20/1.03 tff(325,plain,
% 1.20/1.03 ((~hskp0) | c3_1(a432)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[324, 317])).
% 1.20/1.03 tff(326,plain,
% 1.20/1.03 ((~hskp0) | c3_1(a432)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[325, 317])).
% 1.20/1.03 tff(327,plain,
% 1.20/1.03 (c3_1(a432)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[326, 304])).
% 1.20/1.03 tff(328,plain,
% 1.20/1.03 (((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp16 | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)))) <=> ((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp30 | hskp16 | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(329,plain,
% 1.20/1.03 ((hskp30 | hskp16 | (~ndr1_0) | c2_1(a432) | c0_1(a432) | (~c3_1(a432))) <=> (hskp30 | hskp16 | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(330,plain,
% 1.20/1.03 (((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp16 | (~ndr1_0) | c2_1(a432) | c0_1(a432) | (~c3_1(a432)))) <=> ((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp16 | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432))))),
% 1.20/1.03 inference(monotonicity,[status(thm)],[329])).
% 1.20/1.03 tff(331,plain,
% 1.20/1.03 (((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp16 | (~ndr1_0) | c2_1(a432) | c0_1(a432) | (~c3_1(a432)))) <=> ((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp30 | hskp16 | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)))),
% 1.20/1.03 inference(transitivity,[status(thm)],[330, 328])).
% 1.20/1.03 tff(332,plain,
% 1.20/1.03 ((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp16 | (~ndr1_0) | c2_1(a432) | c0_1(a432) | (~c3_1(a432)))),
% 1.20/1.03 inference(quant_inst,[status(thm)],[])).
% 1.20/1.03 tff(333,plain,
% 1.20/1.03 ((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp30 | hskp16 | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[332, 331])).
% 1.20/1.03 tff(334,plain,
% 1.20/1.03 (hskp16),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[333, 105, 219, 327, 316, 310, 188])).
% 1.20/1.03 tff(335,plain,
% 1.20/1.03 (((~hskp16) | (~c2_1(a457))) <=> ((~hskp16) | (~c2_1(a457)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(336,plain,
% 1.20/1.03 (((~c2_1(a457)) | (~hskp16)) <=> ((~hskp16) | (~c2_1(a457)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(337,axiom,((~c2_1(a457)) | (~hskp16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause101')).
% 1.20/1.03 tff(338,plain,
% 1.20/1.03 ((~hskp16) | (~c2_1(a457))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[337, 336])).
% 1.20/1.03 tff(339,plain,
% 1.20/1.03 ((~hskp16) | (~c2_1(a457))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[338, 335])).
% 1.20/1.03 tff(340,plain,
% 1.20/1.03 (~c2_1(a457)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[339, 334])).
% 1.20/1.03 tff(341,plain,
% 1.20/1.03 (((~hskp16) | c3_1(a457)) <=> ((~hskp16) | c3_1(a457))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(342,axiom,((~hskp16) | c3_1(a457)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause63')).
% 1.20/1.03 tff(343,plain,
% 1.20/1.03 ((~hskp16) | c3_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[342, 341])).
% 1.20/1.03 tff(344,plain,
% 1.20/1.03 ((~hskp16) | c3_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[343, 341])).
% 1.20/1.03 tff(345,plain,
% 1.20/1.03 ((~hskp16) | c3_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[344, 341])).
% 1.20/1.03 tff(346,plain,
% 1.20/1.03 ((~hskp16) | c3_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[345, 341])).
% 1.20/1.03 tff(347,plain,
% 1.20/1.03 ((~hskp16) | c3_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[346, 341])).
% 1.20/1.03 tff(348,plain,
% 1.20/1.03 ((~hskp16) | c3_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[347, 341])).
% 1.20/1.03 tff(349,plain,
% 1.20/1.03 ((~hskp16) | c3_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[348, 341])).
% 1.20/1.03 tff(350,plain,
% 1.20/1.03 ((~hskp16) | c3_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[349, 341])).
% 1.20/1.03 tff(351,plain,
% 1.20/1.03 (c3_1(a457)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[350, 334])).
% 1.20/1.03 tff(352,plain,
% 1.20/1.03 (((~hskp16) | c1_1(a457)) <=> ((~hskp16) | c1_1(a457))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(353,axiom,((~hskp16) | c1_1(a457)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause62')).
% 1.20/1.03 tff(354,plain,
% 1.20/1.03 ((~hskp16) | c1_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[353, 352])).
% 1.20/1.03 tff(355,plain,
% 1.20/1.03 ((~hskp16) | c1_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[354, 352])).
% 1.20/1.03 tff(356,plain,
% 1.20/1.03 ((~hskp16) | c1_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[355, 352])).
% 1.20/1.03 tff(357,plain,
% 1.20/1.03 ((~hskp16) | c1_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[356, 352])).
% 1.20/1.03 tff(358,plain,
% 1.20/1.03 ((~hskp16) | c1_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[357, 352])).
% 1.20/1.03 tff(359,plain,
% 1.20/1.03 ((~hskp16) | c1_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[358, 352])).
% 1.20/1.03 tff(360,plain,
% 1.20/1.03 ((~hskp16) | c1_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[359, 352])).
% 1.20/1.03 tff(361,plain,
% 1.20/1.03 ((~hskp16) | c1_1(a457)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[360, 352])).
% 1.20/1.03 tff(362,plain,
% 1.20/1.03 (c1_1(a457)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[361, 334])).
% 1.20/1.03 tff(363,plain,
% 1.20/1.03 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp6 | c0_1(a486) | c2_1(a457) | (~ndr1_0) | (~c3_1(a457)) | (~c1_1(a457)) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp6 | c0_1(a486) | c2_1(a457) | (~ndr1_0) | (~c3_1(a457)) | (~c1_1(a457)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(364,plain,
% 1.20/1.03 ((hskp6 | (~ndr1_0) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486))) <=> (hskp6 | c0_1(a486) | c2_1(a457) | (~ndr1_0) | (~c3_1(a457)) | (~c1_1(a457)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(365,plain,
% 1.20/1.03 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp6 | (~ndr1_0) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp6 | c0_1(a486) | c2_1(a457) | (~ndr1_0) | (~c3_1(a457)) | (~c1_1(a457)) | (~c1_1(a486)) | (~c2_1(a486))))),
% 1.20/1.03 inference(monotonicity,[status(thm)],[364])).
% 1.20/1.03 tff(366,plain,
% 1.20/1.03 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp6 | (~ndr1_0) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp6 | c0_1(a486) | c2_1(a457) | (~ndr1_0) | (~c3_1(a457)) | (~c1_1(a457)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.20/1.03 inference(transitivity,[status(thm)],[365, 363])).
% 1.20/1.03 tff(367,plain,
% 1.20/1.03 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp6 | (~ndr1_0) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.20/1.03 inference(quant_inst,[status(thm)],[])).
% 1.20/1.03 tff(368,plain,
% 1.20/1.03 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp6 | c0_1(a486) | c2_1(a457) | (~ndr1_0) | (~c3_1(a457)) | (~c1_1(a457)) | (~c1_1(a486)) | (~c2_1(a486))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[367, 366])).
% 1.20/1.03 tff(369,plain,
% 1.20/1.03 (hskp6),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[368, 219, 148, 137, 362, 351, 126, 340, 178])).
% 1.20/1.03 tff(370,plain,
% 1.20/1.03 (((~hskp6) | (~c3_1(a442))) <=> ((~hskp6) | (~c3_1(a442)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(371,plain,
% 1.20/1.03 (((~c3_1(a442)) | (~hskp6)) <=> ((~hskp6) | (~c3_1(a442)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(372,axiom,((~c3_1(a442)) | (~hskp6)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause118')).
% 1.20/1.03 tff(373,plain,
% 1.20/1.03 ((~hskp6) | (~c3_1(a442))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[372, 371])).
% 1.20/1.03 tff(374,plain,
% 1.20/1.03 ((~hskp6) | (~c3_1(a442))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[373, 370])).
% 1.20/1.03 tff(375,plain,
% 1.20/1.03 (~c3_1(a442)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[374, 369])).
% 1.20/1.03 tff(376,plain,
% 1.20/1.03 (((~hskp6) | c2_1(a442)) <=> ((~hskp6) | c2_1(a442))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(377,axiom,((~hskp6) | c2_1(a442)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause76')).
% 1.20/1.03 tff(378,plain,
% 1.20/1.03 ((~hskp6) | c2_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[377, 376])).
% 1.20/1.03 tff(379,plain,
% 1.20/1.03 ((~hskp6) | c2_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[378, 376])).
% 1.20/1.03 tff(380,plain,
% 1.20/1.03 ((~hskp6) | c2_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[379, 376])).
% 1.20/1.03 tff(381,plain,
% 1.20/1.03 ((~hskp6) | c2_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[380, 376])).
% 1.20/1.03 tff(382,plain,
% 1.20/1.03 ((~hskp6) | c2_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[381, 376])).
% 1.20/1.03 tff(383,plain,
% 1.20/1.03 ((~hskp6) | c2_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[382, 376])).
% 1.20/1.03 tff(384,plain,
% 1.20/1.03 ((~hskp6) | c2_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[383, 376])).
% 1.20/1.03 tff(385,plain,
% 1.20/1.03 ((~hskp6) | c2_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[384, 376])).
% 1.20/1.03 tff(386,plain,
% 1.20/1.03 (c2_1(a442)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[385, 369])).
% 1.20/1.03 tff(387,plain,
% 1.20/1.03 (((~hskp6) | c0_1(a442)) <=> ((~hskp6) | c0_1(a442))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(388,axiom,((~hskp6) | c0_1(a442)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause75')).
% 1.20/1.03 tff(389,plain,
% 1.20/1.03 ((~hskp6) | c0_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[388, 387])).
% 1.20/1.03 tff(390,plain,
% 1.20/1.03 ((~hskp6) | c0_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[389, 387])).
% 1.20/1.03 tff(391,plain,
% 1.20/1.03 ((~hskp6) | c0_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[390, 387])).
% 1.20/1.03 tff(392,plain,
% 1.20/1.03 ((~hskp6) | c0_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[391, 387])).
% 1.20/1.03 tff(393,plain,
% 1.20/1.03 ((~hskp6) | c0_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[392, 387])).
% 1.20/1.03 tff(394,plain,
% 1.20/1.03 ((~hskp6) | c0_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[393, 387])).
% 1.20/1.03 tff(395,plain,
% 1.20/1.03 ((~hskp6) | c0_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[394, 387])).
% 1.20/1.03 tff(396,plain,
% 1.20/1.03 ((~hskp6) | c0_1(a442)),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[395, 387])).
% 1.20/1.03 tff(397,plain,
% 1.20/1.03 (c0_1(a442)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[396, 369])).
% 1.20/1.03 tff(398,plain,
% 1.20/1.03 (((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | (hskp14 | hskp12 | c3_1(a442) | (~ndr1_0) | (~c0_1(a442)) | (~c2_1(a442)))) <=> ((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | hskp14 | hskp12 | c3_1(a442) | (~ndr1_0) | (~c0_1(a442)) | (~c2_1(a442)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(399,plain,
% 1.20/1.03 ((hskp14 | hskp12 | (~ndr1_0) | c3_1(a442) | (~c2_1(a442)) | (~c0_1(a442))) <=> (hskp14 | hskp12 | c3_1(a442) | (~ndr1_0) | (~c0_1(a442)) | (~c2_1(a442)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(400,plain,
% 1.20/1.03 (((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | (hskp14 | hskp12 | (~ndr1_0) | c3_1(a442) | (~c2_1(a442)) | (~c0_1(a442)))) <=> ((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | (hskp14 | hskp12 | c3_1(a442) | (~ndr1_0) | (~c0_1(a442)) | (~c2_1(a442))))),
% 1.20/1.03 inference(monotonicity,[status(thm)],[399])).
% 1.20/1.03 tff(401,plain,
% 1.20/1.03 (((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | (hskp14 | hskp12 | (~ndr1_0) | c3_1(a442) | (~c2_1(a442)) | (~c0_1(a442)))) <=> ((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | hskp14 | hskp12 | c3_1(a442) | (~ndr1_0) | (~c0_1(a442)) | (~c2_1(a442)))),
% 1.20/1.03 inference(transitivity,[status(thm)],[400, 398])).
% 1.20/1.03 tff(402,plain,
% 1.20/1.03 ((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | (hskp14 | hskp12 | (~ndr1_0) | c3_1(a442) | (~c2_1(a442)) | (~c0_1(a442)))),
% 1.20/1.03 inference(quant_inst,[status(thm)],[])).
% 1.20/1.03 tff(403,plain,
% 1.20/1.03 ((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | hskp14 | hskp12 | c3_1(a442) | (~ndr1_0) | (~c0_1(a442)) | (~c2_1(a442))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[402, 401])).
% 1.20/1.03 tff(404,plain,
% 1.20/1.03 (hskp12),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[403, 219, 53, 397, 386, 375, 168])).
% 1.20/1.03 tff(405,plain,
% 1.20/1.03 (((~hskp12) | (~c0_1(a450))) <=> ((~hskp12) | (~c0_1(a450)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(406,plain,
% 1.20/1.03 (((~c0_1(a450)) | (~hskp12)) <=> ((~hskp12) | (~c0_1(a450)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(407,axiom,((~c0_1(a450)) | (~hskp12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause106')).
% 1.20/1.03 tff(408,plain,
% 1.20/1.03 ((~hskp12) | (~c0_1(a450))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[407, 406])).
% 1.20/1.03 tff(409,plain,
% 1.20/1.03 ((~hskp12) | (~c0_1(a450))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[408, 405])).
% 1.20/1.03 tff(410,plain,
% 1.20/1.03 (~c0_1(a450)),
% 1.20/1.03 inference(unit_resolution,[status(thm)],[409, 404])).
% 1.20/1.03 tff(411,plain,
% 1.20/1.03 (^[U: $i] : refl((hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U))) <=> (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U))))),
% 1.20/1.03 inference(bind,[status(th)],[])).
% 1.20/1.03 tff(412,plain,
% 1.20/1.03 (![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.20/1.03 inference(quant_intro,[status(thm)],[411])).
% 1.20/1.03 tff(413,plain,
% 1.20/1.03 (![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.20/1.03 inference(rewrite,[status(thm)],[])).
% 1.20/1.03 tff(414,plain,
% 1.20/1.03 (^[U: $i] : 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)) | c2_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U))))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp30) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp30))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp30) <=> (hskp30 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp30) <=> (hskp30 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U))))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp30) | hskp26) <=> ((hskp30 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp26))), rewrite(((hskp30 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp26) <=> (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp30) | hskp26) <=> (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))))),
% 1.20/1.03 inference(bind,[status(th)],[])).
% 1.20/1.03 tff(415,plain,
% 1.20/1.03 (![U: $i] : ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp30) | hskp26) <=> ![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.20/1.03 inference(quant_intro,[status(thm)],[414])).
% 1.20/1.03 tff(416,axiom,(![U: $i] : ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp30) | hskp26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause149')).
% 1.20/1.03 tff(417,plain,
% 1.20/1.03 (![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[416, 415])).
% 1.20/1.03 tff(418,plain,
% 1.20/1.03 (![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[417, 413])).
% 1.20/1.03 tff(419,plain,(
% 1.20/1.03 ![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.20/1.03 inference(skolemize,[status(sab)],[418])).
% 1.20/1.03 tff(420,plain,
% 1.20/1.03 (![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 1.20/1.03 inference(modus_ponens,[status(thm)],[419, 412])).
% 1.20/1.03 tff(421,plain,
% 1.20/1.03 (((~![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp30 | hskp26 | c2_1(a457) | (~ndr1_0) | (~c3_1(a457)) | (~c1_1(a457)))) <=> ((~![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp30 | hskp26 | c2_1(a457) | (~ndr1_0) | (~c3_1(a457)) | (~c1_1(a457)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(422,plain,
% 1.20/1.04 ((hskp30 | hskp26 | (~ndr1_0) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457))) <=> (hskp30 | hskp26 | c2_1(a457) | (~ndr1_0) | (~c3_1(a457)) | (~c1_1(a457)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(423,plain,
% 1.20/1.04 (((~![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp30 | hskp26 | (~ndr1_0) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)))) <=> ((~![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp30 | hskp26 | c2_1(a457) | (~ndr1_0) | (~c3_1(a457)) | (~c1_1(a457))))),
% 1.20/1.04 inference(monotonicity,[status(thm)],[422])).
% 1.20/1.04 tff(424,plain,
% 1.20/1.04 (((~![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp30 | hskp26 | (~ndr1_0) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)))) <=> ((~![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp30 | hskp26 | c2_1(a457) | (~ndr1_0) | (~c3_1(a457)) | (~c1_1(a457)))),
% 1.20/1.04 inference(transitivity,[status(thm)],[423, 421])).
% 1.20/1.04 tff(425,plain,
% 1.20/1.04 ((~![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp30 | hskp26 | (~ndr1_0) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)))),
% 1.20/1.04 inference(quant_inst,[status(thm)],[])).
% 1.20/1.04 tff(426,plain,
% 1.20/1.04 ((~![U: $i] : (hskp30 | hskp26 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp30 | hskp26 | c2_1(a457) | (~ndr1_0) | (~c3_1(a457)) | (~c1_1(a457))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[425, 424])).
% 1.20/1.04 tff(427,plain,
% 1.20/1.04 (hskp26),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[426, 105, 219, 362, 351, 340, 420])).
% 1.20/1.04 tff(428,plain,
% 1.20/1.04 (((~hskp26) | (~c3_1(a492))) <=> ((~hskp26) | (~c3_1(a492)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(429,plain,
% 1.20/1.04 (((~c3_1(a492)) | (~hskp26)) <=> ((~hskp26) | (~c3_1(a492)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(430,axiom,((~c3_1(a492)) | (~hskp26)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause86')).
% 1.20/1.04 tff(431,plain,
% 1.20/1.04 ((~hskp26) | (~c3_1(a492))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[430, 429])).
% 1.20/1.04 tff(432,plain,
% 1.20/1.04 ((~hskp26) | (~c3_1(a492))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[431, 428])).
% 1.20/1.04 tff(433,plain,
% 1.20/1.04 (~c3_1(a492)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[432, 427])).
% 1.20/1.04 tff(434,plain,
% 1.20/1.04 (((~hskp12) | c3_1(a450)) <=> ((~hskp12) | c3_1(a450))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(435,axiom,((~hskp12) | c3_1(a450)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause70')).
% 1.20/1.04 tff(436,plain,
% 1.20/1.04 ((~hskp12) | c3_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[435, 434])).
% 1.20/1.04 tff(437,plain,
% 1.20/1.04 ((~hskp12) | c3_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[436, 434])).
% 1.20/1.04 tff(438,plain,
% 1.20/1.04 ((~hskp12) | c3_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[437, 434])).
% 1.20/1.04 tff(439,plain,
% 1.20/1.04 ((~hskp12) | c3_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[438, 434])).
% 1.20/1.04 tff(440,plain,
% 1.20/1.04 ((~hskp12) | c3_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[439, 434])).
% 1.20/1.04 tff(441,plain,
% 1.20/1.04 ((~hskp12) | c3_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[440, 434])).
% 1.20/1.04 tff(442,plain,
% 1.20/1.04 ((~hskp12) | c3_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[441, 434])).
% 1.20/1.04 tff(443,plain,
% 1.20/1.04 ((~hskp12) | c3_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[442, 434])).
% 1.20/1.04 tff(444,plain,
% 1.20/1.04 (c3_1(a450)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[443, 404])).
% 1.20/1.04 tff(445,plain,
% 1.20/1.04 (((~hskp12) | c1_1(a450)) <=> ((~hskp12) | c1_1(a450))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(446,axiom,((~hskp12) | c1_1(a450)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause69')).
% 1.20/1.04 tff(447,plain,
% 1.20/1.04 ((~hskp12) | c1_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[446, 445])).
% 1.20/1.04 tff(448,plain,
% 1.20/1.04 ((~hskp12) | c1_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[447, 445])).
% 1.20/1.04 tff(449,plain,
% 1.20/1.04 ((~hskp12) | c1_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[448, 445])).
% 1.20/1.04 tff(450,plain,
% 1.20/1.04 ((~hskp12) | c1_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[449, 445])).
% 1.20/1.04 tff(451,plain,
% 1.20/1.04 ((~hskp12) | c1_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[450, 445])).
% 1.20/1.04 tff(452,plain,
% 1.20/1.04 ((~hskp12) | c1_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[451, 445])).
% 1.20/1.04 tff(453,plain,
% 1.20/1.04 ((~hskp12) | c1_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[452, 445])).
% 1.20/1.04 tff(454,plain,
% 1.20/1.04 ((~hskp12) | c1_1(a450)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[453, 445])).
% 1.20/1.04 tff(455,plain,
% 1.20/1.04 (c1_1(a450)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[454, 404])).
% 1.20/1.04 tff(456,plain,
% 1.20/1.04 (((~hskp26) | c2_1(a492)) <=> ((~hskp26) | c2_1(a492))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(457,axiom,((~hskp26) | c2_1(a492)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause48')).
% 1.20/1.04 tff(458,plain,
% 1.20/1.04 ((~hskp26) | c2_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[457, 456])).
% 1.20/1.04 tff(459,plain,
% 1.20/1.04 ((~hskp26) | c2_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[458, 456])).
% 1.20/1.04 tff(460,plain,
% 1.20/1.04 ((~hskp26) | c2_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[459, 456])).
% 1.20/1.04 tff(461,plain,
% 1.20/1.04 ((~hskp26) | c2_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[460, 456])).
% 1.20/1.04 tff(462,plain,
% 1.20/1.04 ((~hskp26) | c2_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[461, 456])).
% 1.20/1.04 tff(463,plain,
% 1.20/1.04 ((~hskp26) | c2_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[462, 456])).
% 1.20/1.04 tff(464,plain,
% 1.20/1.04 ((~hskp26) | c2_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[463, 456])).
% 1.20/1.04 tff(465,plain,
% 1.20/1.04 ((~hskp26) | c2_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[464, 456])).
% 1.20/1.04 tff(466,plain,
% 1.20/1.04 (c2_1(a492)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[465, 427])).
% 1.20/1.04 tff(467,plain,
% 1.20/1.04 (((~hskp26) | c1_1(a492)) <=> ((~hskp26) | c1_1(a492))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(468,axiom,((~hskp26) | c1_1(a492)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause47')).
% 1.20/1.04 tff(469,plain,
% 1.20/1.04 ((~hskp26) | c1_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[468, 467])).
% 1.20/1.04 tff(470,plain,
% 1.20/1.04 ((~hskp26) | c1_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[469, 467])).
% 1.20/1.04 tff(471,plain,
% 1.20/1.04 ((~hskp26) | c1_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[470, 467])).
% 1.20/1.04 tff(472,plain,
% 1.20/1.04 ((~hskp26) | c1_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[471, 467])).
% 1.20/1.04 tff(473,plain,
% 1.20/1.04 ((~hskp26) | c1_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[472, 467])).
% 1.20/1.04 tff(474,plain,
% 1.20/1.04 ((~hskp26) | c1_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[473, 467])).
% 1.20/1.04 tff(475,plain,
% 1.20/1.04 ((~hskp26) | c1_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[474, 467])).
% 1.20/1.04 tff(476,plain,
% 1.20/1.04 ((~hskp26) | c1_1(a492)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[475, 467])).
% 1.20/1.04 tff(477,plain,
% 1.20/1.04 (c1_1(a492)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[476, 427])).
% 1.20/1.04 tff(478,plain,
% 1.20/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c3_1(a492) | c0_1(a450) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c1_1(a450)) | (~c3_1(a450)) | (~c1_1(a492)) | (~c2_1(a492)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c3_1(a492) | c0_1(a450) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c1_1(a450)) | (~c3_1(a450)) | (~c1_1(a492)) | (~c2_1(a492)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(479,plain,
% 1.20/1.04 (((~ndr1_0) | c3_1(a492) | (~c2_1(a492)) | (~c1_1(a492)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a445) | c0_1(a445) | (~c2_1(a445))) <=> (c3_1(a492) | c0_1(a450) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c1_1(a450)) | (~c3_1(a450)) | (~c1_1(a492)) | (~c2_1(a492)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(480,plain,
% 1.20/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a492) | (~c2_1(a492)) | (~c1_1(a492)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a445) | c0_1(a445) | (~c2_1(a445)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c3_1(a492) | c0_1(a450) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c1_1(a450)) | (~c3_1(a450)) | (~c1_1(a492)) | (~c2_1(a492))))),
% 1.20/1.04 inference(monotonicity,[status(thm)],[479])).
% 1.20/1.04 tff(481,plain,
% 1.20/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a492) | (~c2_1(a492)) | (~c1_1(a492)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a445) | c0_1(a445) | (~c2_1(a445)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c3_1(a492) | c0_1(a450) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c1_1(a450)) | (~c3_1(a450)) | (~c1_1(a492)) | (~c2_1(a492)))),
% 1.20/1.04 inference(transitivity,[status(thm)],[480, 478])).
% 1.20/1.04 tff(482,plain,
% 1.20/1.04 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a492) | (~c2_1(a492)) | (~c1_1(a492)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a445) | c0_1(a445) | (~c2_1(a445)))),
% 1.20/1.04 inference(quant_inst,[status(thm)],[])).
% 1.20/1.04 tff(483,plain,
% 1.20/1.04 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c3_1(a492) | c0_1(a450) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c1_1(a450)) | (~c3_1(a450)) | (~c1_1(a492)) | (~c2_1(a492))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[482, 481])).
% 1.20/1.04 tff(484,plain,
% 1.20/1.04 (~c2_1(a445)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[483, 219, 477, 466, 455, 444, 433, 410, 40, 52, 158])).
% 1.20/1.04 tff(485,plain,
% 1.20/1.04 (^[U: $i] : refl((hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U)) <=> (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U)))),
% 1.20/1.04 inference(bind,[status(th)],[])).
% 1.20/1.04 tff(486,plain,
% 1.20/1.04 (![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U)) <=> ![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))),
% 1.20/1.04 inference(quant_intro,[status(thm)],[485])).
% 1.20/1.04 tff(487,plain,
% 1.20/1.04 (![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U)) <=> ![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(488,plain,
% 1.20/1.04 (^[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) | c3_1(U) | c2_1(U) | c0_1(U))), (((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U)))), ((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | hskp29) <=> (((~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U)) | hskp29))), rewrite((((~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U)) | hskp29) <=> (hskp29 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))), ((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | hskp29) <=> (hskp29 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U)))), (((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | hskp29) | hskp10) <=> ((hskp29 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U)) | hskp10))), rewrite(((hskp29 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U)) | hskp10) <=> (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))), (((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | hskp29) | hskp10) <=> (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))))),
% 1.20/1.04 inference(bind,[status(th)],[])).
% 1.20/1.04 tff(489,plain,
% 1.20/1.04 (![U: $i] : ((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | hskp29) | hskp10) <=> ![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))),
% 1.20/1.04 inference(quant_intro,[status(thm)],[488])).
% 1.20/1.04 tff(490,axiom,(![U: $i] : ((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | hskp29) | hskp10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause131')).
% 1.20/1.04 tff(491,plain,
% 1.20/1.04 (![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[490, 489])).
% 1.20/1.04 tff(492,plain,
% 1.20/1.04 (![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[491, 487])).
% 1.20/1.04 tff(493,plain,(
% 1.20/1.04 ![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))),
% 1.20/1.04 inference(skolemize,[status(sab)],[492])).
% 1.20/1.04 tff(494,plain,
% 1.20/1.04 (![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[493, 486])).
% 1.20/1.04 tff(495,plain,
% 1.20/1.04 (((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | (hskp29 | hskp10 | c0_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445))) <=> ((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | hskp29 | hskp10 | c0_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(496,plain,
% 1.20/1.04 ((hskp29 | hskp10 | (~ndr1_0) | c3_1(a445) | c2_1(a445) | c0_1(a445)) <=> (hskp29 | hskp10 | c0_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(497,plain,
% 1.20/1.04 (((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | (hskp29 | hskp10 | (~ndr1_0) | c3_1(a445) | c2_1(a445) | c0_1(a445))) <=> ((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | (hskp29 | hskp10 | c0_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445)))),
% 1.20/1.04 inference(monotonicity,[status(thm)],[496])).
% 1.20/1.04 tff(498,plain,
% 1.20/1.04 (((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | (hskp29 | hskp10 | (~ndr1_0) | c3_1(a445) | c2_1(a445) | c0_1(a445))) <=> ((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | hskp29 | hskp10 | c0_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445))),
% 1.20/1.04 inference(transitivity,[status(thm)],[497, 495])).
% 1.20/1.04 tff(499,plain,
% 1.20/1.04 ((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | (hskp29 | hskp10 | (~ndr1_0) | c3_1(a445) | c2_1(a445) | c0_1(a445))),
% 1.20/1.04 inference(quant_inst,[status(thm)],[])).
% 1.20/1.04 tff(500,plain,
% 1.20/1.04 ((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | hskp29 | hskp10 | c0_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[499, 498])).
% 1.20/1.04 tff(501,plain,
% 1.20/1.04 (hskp29 | c3_1(a445) | c2_1(a445)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[500, 219, 54, 40, 494])).
% 1.20/1.04 tff(502,plain,
% 1.20/1.04 (hskp29),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[501, 484, 51])).
% 1.20/1.04 tff(503,plain,
% 1.20/1.04 (((~hskp29) | c3_1(a447)) <=> ((~hskp29) | c3_1(a447))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(504,axiom,((~hskp29) | c3_1(a447)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause43')).
% 1.20/1.04 tff(505,plain,
% 1.20/1.04 ((~hskp29) | c3_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[504, 503])).
% 1.20/1.04 tff(506,plain,
% 1.20/1.04 ((~hskp29) | c3_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[505, 503])).
% 1.20/1.04 tff(507,plain,
% 1.20/1.04 ((~hskp29) | c3_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[506, 503])).
% 1.20/1.04 tff(508,plain,
% 1.20/1.04 ((~hskp29) | c3_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[507, 503])).
% 1.20/1.04 tff(509,plain,
% 1.20/1.04 ((~hskp29) | c3_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[508, 503])).
% 1.20/1.04 tff(510,plain,
% 1.20/1.04 ((~hskp29) | c3_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[509, 503])).
% 1.20/1.04 tff(511,plain,
% 1.20/1.04 ((~hskp29) | c3_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[510, 503])).
% 1.20/1.04 tff(512,plain,
% 1.20/1.04 ((~hskp29) | c3_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[511, 503])).
% 1.20/1.04 tff(513,plain,
% 1.20/1.04 (c3_1(a447)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[512, 502])).
% 1.20/1.04 tff(514,plain,
% 1.20/1.04 (((~hskp29) | c2_1(a447)) <=> ((~hskp29) | c2_1(a447))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(515,axiom,((~hskp29) | c2_1(a447)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause42')).
% 1.20/1.04 tff(516,plain,
% 1.20/1.04 ((~hskp29) | c2_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[515, 514])).
% 1.20/1.04 tff(517,plain,
% 1.20/1.04 ((~hskp29) | c2_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[516, 514])).
% 1.20/1.04 tff(518,plain,
% 1.20/1.04 ((~hskp29) | c2_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[517, 514])).
% 1.20/1.04 tff(519,plain,
% 1.20/1.04 ((~hskp29) | c2_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[518, 514])).
% 1.20/1.04 tff(520,plain,
% 1.20/1.04 ((~hskp29) | c2_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[519, 514])).
% 1.20/1.04 tff(521,plain,
% 1.20/1.04 ((~hskp29) | c2_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[520, 514])).
% 1.20/1.04 tff(522,plain,
% 1.20/1.04 ((~hskp29) | c2_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[521, 514])).
% 1.20/1.04 tff(523,plain,
% 1.20/1.04 ((~hskp29) | c2_1(a447)),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[522, 514])).
% 1.20/1.04 tff(524,plain,
% 1.20/1.04 (c2_1(a447)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[523, 502])).
% 1.20/1.04 tff(525,plain,
% 1.20/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445) | (~c3_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445) | (~c3_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(526,plain,
% 1.20/1.04 (((~ndr1_0) | (~c2_1(a447)) | (~c3_1(a447)) | (~c0_1(a447)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a445) | c1_1(a445) | c0_1(a445)) <=> (c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445) | (~c3_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(527,plain,
% 1.20/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a447)) | (~c3_1(a447)) | (~c0_1(a447)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a445) | c1_1(a445) | c0_1(a445))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445) | (~c3_1(a447)) | (~c0_1(a447)) | (~c2_1(a447))))),
% 1.20/1.04 inference(monotonicity,[status(thm)],[526])).
% 1.20/1.04 tff(528,plain,
% 1.20/1.04 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a447)) | (~c3_1(a447)) | (~c0_1(a447)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a445) | c1_1(a445) | c0_1(a445))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445) | (~c3_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)))),
% 1.20/1.04 inference(transitivity,[status(thm)],[527, 525])).
% 1.20/1.04 tff(529,plain,
% 1.20/1.04 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a447)) | (~c3_1(a447)) | (~c0_1(a447)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a445) | c1_1(a445) | c0_1(a445))),
% 1.20/1.04 inference(quant_inst,[status(thm)],[])).
% 1.20/1.04 tff(530,plain,
% 1.20/1.04 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445) | (~c3_1(a447)) | (~c0_1(a447)) | (~c2_1(a447))),
% 1.20/1.04 inference(modus_ponens,[status(thm)],[529, 528])).
% 1.20/1.04 tff(531,plain,
% 1.20/1.04 (~c0_1(a447)),
% 1.20/1.04 inference(unit_resolution,[status(thm)],[530, 219, 524, 513, 40, 52, 51, 74, 484])).
% 1.20/1.04 tff(532,plain,
% 1.20/1.04 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))))),
% 1.20/1.04 inference(bind,[status(th)],[])).
% 1.20/1.04 tff(533,plain,
% 1.20/1.04 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_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) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.20/1.04 inference(quant_intro,[status(thm)],[532])).
% 1.20/1.04 tff(534,plain,
% 1.20/1.04 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_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) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.20/1.04 inference(rewrite,[status(thm)],[])).
% 1.20/1.04 tff(535,plain,
% 1.20/1.04 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~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))) | (~c3_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V))) | (~c3_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c3_1(W)))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c3_1(W))))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c0_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c3_1(W))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c3_1(W))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c3_1(W)))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c3_1(W))))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c0_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c3_1(W))) | c0_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(V)) | (~c3_1(W))) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c3_1(W)))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c0_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c3_1(W))))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c0_1(U)) | c0_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c3_1(W))) | c3_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c3_1(W))) | c3_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | (~c3_1(W)))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c0_1(U)) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | (~c3_1(W))))), ((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c0_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | (~c3_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | (~c3_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c0_1(W) | (~c3_1(W)))), ((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c0_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c0_1(W) | (~c3_1(W))))), (((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c0_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))), (((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c0_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))))),
% 1.20/1.05 inference(bind,[status(th)],[])).
% 1.20/1.05 tff(536,plain,
% 1.20/1.05 (![W: $i, V: $i, U: $i] : ((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c0_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.20/1.05 inference(quant_intro,[status(thm)],[535])).
% 1.20/1.05 tff(537,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c0_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause192')).
% 1.20/1.05 tff(538,plain,
% 1.20/1.05 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[537, 536])).
% 1.20/1.05 tff(539,plain,
% 1.20/1.05 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[538, 534])).
% 1.20/1.05 tff(540,plain,(
% 1.20/1.05 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.20/1.05 inference(skolemize,[status(sab)],[539])).
% 1.20/1.05 tff(541,plain,
% 1.20/1.05 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[540, 533])).
% 1.20/1.05 tff(542,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a486) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | c3_1(a486) | (~c1_1(a486)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a486) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | c3_1(a486) | (~c1_1(a486)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(543,plain,
% 1.20/1.05 (((~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432))) <=> (c0_1(a486) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | c3_1(a486) | (~c1_1(a486)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(544,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a486) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | c3_1(a486) | (~c1_1(a486)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447))))),
% 1.20/1.05 inference(monotonicity,[status(thm)],[543])).
% 1.20/1.05 tff(545,plain,
% 1.20/1.05 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a486) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | c3_1(a486) | (~c1_1(a486)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.20/1.05 inference(transitivity,[status(thm)],[544, 542])).
% 1.20/1.05 tff(546,plain,
% 1.20/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432)))),
% 1.20/1.05 inference(quant_inst,[status(thm)],[])).
% 1.20/1.05 tff(547,plain,
% 1.20/1.05 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a486) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | c3_1(a486) | (~c1_1(a486)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[546, 545])).
% 1.20/1.05 tff(548,plain,
% 1.20/1.05 (c3_1(a486)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[547, 219, 524, 513, 148, 327, 126, 316, 310, 541, 531])).
% 1.20/1.05 tff(549,plain,
% 1.20/1.05 (((~hskp29) | c1_1(a447)) <=> ((~hskp29) | c1_1(a447))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(550,axiom,((~hskp29) | c1_1(a447)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause41')).
% 1.20/1.05 tff(551,plain,
% 1.20/1.05 ((~hskp29) | c1_1(a447)),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[550, 549])).
% 1.20/1.05 tff(552,plain,
% 1.20/1.05 ((~hskp29) | c1_1(a447)),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[551, 549])).
% 1.20/1.05 tff(553,plain,
% 1.20/1.05 ((~hskp29) | c1_1(a447)),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[552, 549])).
% 1.20/1.05 tff(554,plain,
% 1.20/1.05 ((~hskp29) | c1_1(a447)),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[553, 549])).
% 1.20/1.05 tff(555,plain,
% 1.20/1.05 ((~hskp29) | c1_1(a447)),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[554, 549])).
% 1.20/1.05 tff(556,plain,
% 1.20/1.05 ((~hskp29) | c1_1(a447)),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[555, 549])).
% 1.20/1.05 tff(557,plain,
% 1.20/1.05 ((~hskp29) | c1_1(a447)),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[556, 549])).
% 1.20/1.05 tff(558,plain,
% 1.20/1.05 ((~hskp29) | c1_1(a447)),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[557, 549])).
% 1.20/1.05 tff(559,plain,
% 1.20/1.05 (c1_1(a447)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[558, 502])).
% 1.20/1.05 tff(560,plain,
% 1.20/1.05 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | c0_1(a486) | (~ndr1_0) | (~c2_1(a486)) | (~c3_1(a486)) | (~c1_1(a447)) | c0_1(a447) | (~c2_1(a447)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp8 | c0_1(a486) | (~ndr1_0) | (~c2_1(a486)) | (~c3_1(a486)) | (~c1_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(561,plain,
% 1.20/1.05 ((hskp8 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a447) | (~c1_1(a447)) | (~c2_1(a447))) <=> (hskp8 | c0_1(a486) | (~ndr1_0) | (~c2_1(a486)) | (~c3_1(a486)) | (~c1_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(562,plain,
% 1.20/1.05 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a447) | (~c1_1(a447)) | (~c2_1(a447)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | c0_1(a486) | (~ndr1_0) | (~c2_1(a486)) | (~c3_1(a486)) | (~c1_1(a447)) | c0_1(a447) | (~c2_1(a447))))),
% 1.20/1.05 inference(monotonicity,[status(thm)],[561])).
% 1.20/1.05 tff(563,plain,
% 1.20/1.05 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a447) | (~c1_1(a447)) | (~c2_1(a447)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp8 | c0_1(a486) | (~ndr1_0) | (~c2_1(a486)) | (~c3_1(a486)) | (~c1_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.20/1.05 inference(transitivity,[status(thm)],[562, 560])).
% 1.20/1.05 tff(564,plain,
% 1.20/1.05 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a447) | (~c1_1(a447)) | (~c2_1(a447)))),
% 1.20/1.05 inference(quant_inst,[status(thm)],[])).
% 1.20/1.05 tff(565,plain,
% 1.20/1.05 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp8 | c0_1(a486) | (~ndr1_0) | (~c2_1(a486)) | (~c3_1(a486)) | (~c1_1(a447)) | c0_1(a447) | (~c2_1(a447))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[564, 563])).
% 1.20/1.05 tff(566,plain,
% 1.20/1.05 (hskp8),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[565, 219, 559, 524, 137, 126, 264, 548, 531])).
% 1.20/1.05 tff(567,plain,
% 1.20/1.05 (~c3_1(a444)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[277, 566])).
% 1.20/1.05 tff(568,plain,
% 1.20/1.05 (~c0_1(a444)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[283, 566])).
% 1.20/1.05 tff(569,plain,
% 1.20/1.05 (c2_1(a444)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[294, 566])).
% 1.20/1.05 tff(570,plain,
% 1.20/1.05 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | c0_1(a486) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a486)) | (~c3_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a486) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a486)) | (~c3_1(a486)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(571,plain,
% 1.20/1.05 ((hskp14 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444))) <=> (hskp14 | c0_1(a486) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a486)) | (~c3_1(a486)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(572,plain,
% 1.20/1.05 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | c0_1(a486) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a486)) | (~c3_1(a486))))),
% 1.20/1.05 inference(monotonicity,[status(thm)],[571])).
% 1.20/1.05 tff(573,plain,
% 1.20/1.05 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a486) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a486)) | (~c3_1(a486)))),
% 1.20/1.05 inference(transitivity,[status(thm)],[572, 570])).
% 1.20/1.05 tff(574,plain,
% 1.20/1.05 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a486) | (~c2_1(a486)) | (~c3_1(a486)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))),
% 1.20/1.05 inference(quant_inst,[status(thm)],[])).
% 1.20/1.05 tff(575,plain,
% 1.20/1.05 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a486) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a486)) | (~c3_1(a486))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[574, 573])).
% 1.20/1.05 tff(576,plain,
% 1.20/1.05 ($false),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[575, 219, 53, 137, 569, 126, 568, 567, 64, 548])).
% 1.20/1.05 tff(577,plain,(c3_1(a445) | hskp14 | c0_1(a445) | c1_1(a445) | hskp10 | hskp30), inference(lemma,lemma(discharge,[]))).
% 1.20/1.05 tff(578,plain,
% 1.20/1.05 (c3_1(a445)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[577, 52, 40, 53, 54, 105])).
% 1.20/1.05 tff(579,plain,
% 1.20/1.05 (((~hskp9) | (~c3_1(a445))) <=> ((~hskp9) | (~c3_1(a445)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(580,plain,
% 1.20/1.05 (((~c3_1(a445)) | (~hskp9)) <=> ((~hskp9) | (~c3_1(a445)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(581,axiom,((~c3_1(a445)) | (~hskp9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause113')).
% 1.20/1.05 tff(582,plain,
% 1.20/1.05 ((~hskp9) | (~c3_1(a445))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[581, 580])).
% 1.20/1.05 tff(583,plain,
% 1.20/1.05 ((~hskp9) | (~c3_1(a445))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[582, 579])).
% 1.20/1.05 tff(584,plain,
% 1.20/1.05 (~hskp9),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[583, 578])).
% 1.20/1.05 tff(585,plain,
% 1.20/1.05 (((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp9 | hskp8 | c0_1(a445) | c1_1(a445) | (~c3_1(a445)) | (~ndr1_0))) <=> ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | hskp9 | hskp8 | c0_1(a445) | c1_1(a445) | (~c3_1(a445)) | (~ndr1_0))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(586,plain,
% 1.20/1.05 ((hskp9 | hskp8 | (~ndr1_0) | c0_1(a445) | c1_1(a445) | (~c3_1(a445))) <=> (hskp9 | hskp8 | c0_1(a445) | c1_1(a445) | (~c3_1(a445)) | (~ndr1_0))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(587,plain,
% 1.20/1.05 (((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp9 | hskp8 | (~ndr1_0) | c0_1(a445) | c1_1(a445) | (~c3_1(a445)))) <=> ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp9 | hskp8 | c0_1(a445) | c1_1(a445) | (~c3_1(a445)) | (~ndr1_0)))),
% 1.20/1.05 inference(monotonicity,[status(thm)],[586])).
% 1.20/1.05 tff(588,plain,
% 1.20/1.05 (((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp9 | hskp8 | (~ndr1_0) | c0_1(a445) | c1_1(a445) | (~c3_1(a445)))) <=> ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | hskp9 | hskp8 | c0_1(a445) | c1_1(a445) | (~c3_1(a445)) | (~ndr1_0))),
% 1.20/1.05 inference(transitivity,[status(thm)],[587, 585])).
% 1.20/1.05 tff(589,plain,
% 1.20/1.05 ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp9 | hskp8 | (~ndr1_0) | c0_1(a445) | c1_1(a445) | (~c3_1(a445)))),
% 1.20/1.05 inference(quant_inst,[status(thm)],[])).
% 1.20/1.05 tff(590,plain,
% 1.20/1.05 ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | hskp9 | hskp8 | c0_1(a445) | c1_1(a445) | (~c3_1(a445)) | (~ndr1_0)),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[589, 588])).
% 1.20/1.05 tff(591,plain,
% 1.20/1.05 (hskp9 | hskp8 | c1_1(a445) | (~c3_1(a445))),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[590, 219, 40, 50])).
% 1.20/1.05 tff(592,plain,
% 1.20/1.05 (hskp8),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[591, 584, 52, 578])).
% 1.20/1.05 tff(593,plain,
% 1.20/1.05 (~c3_1(a444)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[277, 592])).
% 1.20/1.05 tff(594,plain,
% 1.20/1.05 (~c0_1(a444)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[283, 592])).
% 1.20/1.05 tff(595,plain,
% 1.20/1.05 (c2_1(a444)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[294, 592])).
% 1.20/1.05 tff(596,plain,
% 1.20/1.05 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | c0_1(a486) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a486) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | c3_1(a486) | (~c1_1(a486)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(597,plain,
% 1.20/1.05 ((hskp9 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486))) <=> (hskp9 | c0_1(a486) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | c3_1(a486) | (~c1_1(a486)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(598,plain,
% 1.20/1.05 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | c0_1(a486) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | c3_1(a486) | (~c1_1(a486))))),
% 1.20/1.05 inference(monotonicity,[status(thm)],[597])).
% 1.20/1.05 tff(599,plain,
% 1.20/1.05 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a486) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | c3_1(a486) | (~c1_1(a486)))),
% 1.20/1.05 inference(transitivity,[status(thm)],[598, 596])).
% 1.20/1.05 tff(600,plain,
% 1.20/1.05 ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))),
% 1.20/1.05 inference(quant_inst,[status(thm)],[])).
% 1.20/1.05 tff(601,plain,
% 1.20/1.05 ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a486) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | c3_1(a486) | (~c1_1(a486))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[600, 599])).
% 1.20/1.05 tff(602,plain,
% 1.20/1.05 (c3_1(a486)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[601, 219, 584, 148, 595, 126, 594, 593, 30])).
% 1.20/1.05 tff(603,plain,
% 1.20/1.05 ($false),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[575, 219, 53, 137, 595, 126, 594, 593, 64, 602])).
% 1.20/1.05 tff(604,plain,(c1_1(a445) | hskp14 | c0_1(a445) | hskp10 | hskp30), inference(lemma,lemma(discharge,[]))).
% 1.20/1.05 tff(605,plain,
% 1.20/1.05 (c1_1(a445)),
% 1.20/1.05 inference(unit_resolution,[status(thm)],[604, 40, 53, 54, 105])).
% 1.20/1.05 tff(606,plain,
% 1.20/1.05 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W))))),
% 1.20/1.05 inference(bind,[status(th)],[])).
% 1.20/1.05 tff(607,plain,
% 1.20/1.05 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))),
% 1.20/1.05 inference(quant_intro,[status(thm)],[606])).
% 1.20/1.05 tff(608,plain,
% 1.20/1.05 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))),
% 1.20/1.05 inference(rewrite,[status(thm)],[])).
% 1.20/1.05 tff(609,plain,
% 1.20/1.05 (^[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)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_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))))), (((((((((~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)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V))) | (~c0_1(W))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_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)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_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)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | (~c0_1(W))) | c1_1(W)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | (~c0_1(W))) | c1_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_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)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_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)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | (~c0_1(W))) | c3_1(W)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | (~c0_1(W))) | c3_1(W)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_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)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))))),
% 1.20/1.05 inference(bind,[status(th)],[])).
% 1.20/1.05 tff(610,plain,
% 1.20/1.05 (![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)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))),
% 1.20/1.05 inference(quant_intro,[status(thm)],[609])).
% 1.20/1.05 tff(611,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','clause204')).
% 1.20/1.05 tff(612,plain,
% 1.20/1.05 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[611, 610])).
% 1.20/1.05 tff(613,plain,
% 1.20/1.05 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))),
% 1.20/1.05 inference(modus_ponens,[status(thm)],[612, 608])).
% 1.20/1.05 tff(614,plain,(
% 1.20/1.05 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))),
% 1.20/1.06 inference(skolemize,[status(sab)],[613])).
% 1.20/1.06 tff(615,plain,
% 1.20/1.06 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[614, 607])).
% 1.20/1.06 tff(616,assumption,(c1_1(a445)), introduced(assumption)).
% 1.20/1.06 tff(617,plain,
% 1.20/1.06 (((~hskp9) | (~c1_1(a445))) <=> ((~hskp9) | (~c1_1(a445)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(618,plain,
% 1.20/1.06 (((~c1_1(a445)) | (~hskp9)) <=> ((~hskp9) | (~c1_1(a445)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(619,axiom,((~c1_1(a445)) | (~hskp9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause112')).
% 1.20/1.06 tff(620,plain,
% 1.20/1.06 ((~hskp9) | (~c1_1(a445))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[619, 618])).
% 1.20/1.06 tff(621,plain,
% 1.20/1.06 ((~hskp9) | (~c1_1(a445))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[620, 617])).
% 1.20/1.06 tff(622,plain,
% 1.20/1.06 (~hskp9),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[621, 616])).
% 1.20/1.06 tff(623,plain,
% 1.20/1.06 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | c0_1(a445) | (~c1_1(a445)) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a445) | (~c1_1(a445)) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(624,plain,
% 1.20/1.06 ((hskp9 | (~ndr1_0) | c3_1(a445) | c0_1(a445) | (~c2_1(a445)) | c0_1(a445) | c3_1(a445) | (~c1_1(a445))) <=> (hskp9 | c0_1(a445) | (~c1_1(a445)) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(625,plain,
% 1.20/1.06 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a445) | c0_1(a445) | (~c2_1(a445)) | c0_1(a445) | c3_1(a445) | (~c1_1(a445)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | c0_1(a445) | (~c1_1(a445)) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445))))),
% 1.20/1.06 inference(monotonicity,[status(thm)],[624])).
% 1.20/1.06 tff(626,plain,
% 1.20/1.06 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a445) | c0_1(a445) | (~c2_1(a445)) | c0_1(a445) | c3_1(a445) | (~c1_1(a445)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a445) | (~c1_1(a445)) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)))),
% 1.20/1.06 inference(transitivity,[status(thm)],[625, 623])).
% 1.20/1.06 tff(627,plain,
% 1.20/1.06 ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a445) | c0_1(a445) | (~c2_1(a445)) | c0_1(a445) | c3_1(a445) | (~c1_1(a445)))),
% 1.20/1.06 inference(quant_inst,[status(thm)],[])).
% 1.20/1.06 tff(628,plain,
% 1.20/1.06 ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a445) | (~c1_1(a445)) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[627, 626])).
% 1.20/1.06 tff(629,plain,
% 1.20/1.06 (~c2_1(a445)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[628, 219, 622, 40, 616, 51, 30])).
% 1.20/1.06 tff(630,plain,
% 1.20/1.06 (^[U: $i] : refl((hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) <=> (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))))),
% 1.20/1.06 inference(bind,[status(th)],[])).
% 1.20/1.06 tff(631,plain,
% 1.20/1.06 (![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.06 inference(quant_intro,[status(thm)],[630])).
% 1.20/1.06 tff(632,plain,
% 1.20/1.06 (![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(633,plain,
% 1.20/1.06 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c1_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c1_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U))))), (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c1_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c1_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))), (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp14) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp14))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp14) <=> (hskp14 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp14) <=> (hskp14 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))))), (((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp14) | hskp2) <=> ((hskp14 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp2))), rewrite(((hskp14 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp2) <=> (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))), (((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp14) | hskp2) <=> (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))))),
% 1.20/1.06 inference(bind,[status(th)],[])).
% 1.20/1.06 tff(634,plain,
% 1.20/1.06 (![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp14) | hskp2) <=> ![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.06 inference(quant_intro,[status(thm)],[633])).
% 1.20/1.06 tff(635,axiom,(![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp14) | hskp2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause136')).
% 1.20/1.06 tff(636,plain,
% 1.20/1.06 (![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[635, 634])).
% 1.20/1.06 tff(637,plain,
% 1.20/1.06 (![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[636, 632])).
% 1.20/1.06 tff(638,plain,(
% 1.20/1.06 ![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.06 inference(skolemize,[status(sab)],[637])).
% 1.20/1.06 tff(639,plain,
% 1.20/1.06 (![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[638, 631])).
% 1.20/1.06 tff(640,plain,
% 1.20/1.06 (((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp14 | hskp2 | c0_1(a445) | (~c1_1(a445)) | (~ndr1_0) | c2_1(a445))) <=> ((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp14 | hskp2 | c0_1(a445) | (~c1_1(a445)) | (~ndr1_0) | c2_1(a445))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(641,plain,
% 1.20/1.06 ((hskp14 | hskp2 | (~ndr1_0) | c2_1(a445) | c0_1(a445) | (~c1_1(a445))) <=> (hskp14 | hskp2 | c0_1(a445) | (~c1_1(a445)) | (~ndr1_0) | c2_1(a445))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(642,plain,
% 1.20/1.06 (((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp14 | hskp2 | (~ndr1_0) | c2_1(a445) | c0_1(a445) | (~c1_1(a445)))) <=> ((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp14 | hskp2 | c0_1(a445) | (~c1_1(a445)) | (~ndr1_0) | c2_1(a445)))),
% 1.20/1.06 inference(monotonicity,[status(thm)],[641])).
% 1.20/1.06 tff(643,plain,
% 1.20/1.06 (((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp14 | hskp2 | (~ndr1_0) | c2_1(a445) | c0_1(a445) | (~c1_1(a445)))) <=> ((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp14 | hskp2 | c0_1(a445) | (~c1_1(a445)) | (~ndr1_0) | c2_1(a445))),
% 1.20/1.06 inference(transitivity,[status(thm)],[642, 640])).
% 1.20/1.06 tff(644,plain,
% 1.20/1.06 ((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp14 | hskp2 | (~ndr1_0) | c2_1(a445) | c0_1(a445) | (~c1_1(a445)))),
% 1.20/1.06 inference(quant_inst,[status(thm)],[])).
% 1.20/1.06 tff(645,plain,
% 1.20/1.06 ((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp14 | hskp2 | c0_1(a445) | (~c1_1(a445)) | (~ndr1_0) | c2_1(a445)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[644, 643])).
% 1.20/1.06 tff(646,plain,
% 1.20/1.06 (hskp2 | (~c1_1(a445)) | c2_1(a445)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[645, 219, 53, 40, 639])).
% 1.20/1.06 tff(647,plain,
% 1.20/1.06 (hskp2),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[646, 629, 616])).
% 1.20/1.06 tff(648,plain,
% 1.20/1.06 (((~hskp2) | (~c3_1(a434))) <=> ((~hskp2) | (~c3_1(a434)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(649,plain,
% 1.20/1.06 (((~c3_1(a434)) | (~hskp2)) <=> ((~hskp2) | (~c3_1(a434)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(650,axiom,((~c3_1(a434)) | (~hskp2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause125')).
% 1.20/1.06 tff(651,plain,
% 1.20/1.06 ((~hskp2) | (~c3_1(a434))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[650, 649])).
% 1.20/1.06 tff(652,plain,
% 1.20/1.06 ((~hskp2) | (~c3_1(a434))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[651, 648])).
% 1.20/1.06 tff(653,plain,
% 1.20/1.06 (~c3_1(a434)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[652, 647])).
% 1.20/1.06 tff(654,plain,
% 1.20/1.06 (((~hskp2) | (~c1_1(a434))) <=> ((~hskp2) | (~c1_1(a434)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(655,plain,
% 1.20/1.06 (((~c1_1(a434)) | (~hskp2)) <=> ((~hskp2) | (~c1_1(a434)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(656,axiom,((~c1_1(a434)) | (~hskp2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause124')).
% 1.20/1.06 tff(657,plain,
% 1.20/1.06 ((~hskp2) | (~c1_1(a434))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[656, 655])).
% 1.20/1.06 tff(658,plain,
% 1.20/1.06 ((~hskp2) | (~c1_1(a434))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[657, 654])).
% 1.20/1.06 tff(659,plain,
% 1.20/1.06 (~c1_1(a434)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[658, 647])).
% 1.20/1.06 tff(660,plain,
% 1.20/1.06 (((~hskp2) | c0_1(a434)) <=> ((~hskp2) | c0_1(a434))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(661,axiom,((~hskp2) | c0_1(a434)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause81')).
% 1.20/1.06 tff(662,plain,
% 1.20/1.06 ((~hskp2) | c0_1(a434)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[661, 660])).
% 1.20/1.06 tff(663,plain,
% 1.20/1.06 ((~hskp2) | c0_1(a434)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[662, 660])).
% 1.20/1.06 tff(664,plain,
% 1.20/1.06 ((~hskp2) | c0_1(a434)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[663, 660])).
% 1.20/1.06 tff(665,plain,
% 1.20/1.06 ((~hskp2) | c0_1(a434)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[664, 660])).
% 1.20/1.06 tff(666,plain,
% 1.20/1.06 ((~hskp2) | c0_1(a434)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[665, 660])).
% 1.20/1.06 tff(667,plain,
% 1.20/1.06 ((~hskp2) | c0_1(a434)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[666, 660])).
% 1.20/1.06 tff(668,plain,
% 1.20/1.06 ((~hskp2) | c0_1(a434)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[667, 660])).
% 1.20/1.06 tff(669,plain,
% 1.20/1.06 ((~hskp2) | c0_1(a434)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[668, 660])).
% 1.20/1.06 tff(670,plain,
% 1.20/1.06 (c0_1(a434)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[669, 647])).
% 1.20/1.06 tff(671,plain,
% 1.20/1.06 (hskp29),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[501, 629, 51])).
% 1.20/1.06 tff(672,plain,
% 1.20/1.06 (c3_1(a447)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[512, 671])).
% 1.20/1.06 tff(673,plain,
% 1.20/1.06 (c2_1(a447)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[523, 671])).
% 1.20/1.06 tff(674,plain,
% 1.20/1.06 (c1_1(a447)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[558, 671])).
% 1.20/1.06 tff(675,plain,
% 1.20/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c3_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c3_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(676,plain,
% 1.20/1.06 (((~ndr1_0) | (~c3_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)) | c1_1(a434) | c3_1(a434) | (~c0_1(a434))) <=> (c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c3_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(677,plain,
% 1.20/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)) | c1_1(a434) | c3_1(a434) | (~c0_1(a434)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c3_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)) | (~c2_1(a447))))),
% 1.20/1.06 inference(monotonicity,[status(thm)],[676])).
% 1.20/1.06 tff(678,plain,
% 1.20/1.06 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)) | c1_1(a434) | c3_1(a434) | (~c0_1(a434)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c3_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)))),
% 1.20/1.06 inference(transitivity,[status(thm)],[677, 675])).
% 1.20/1.06 tff(679,plain,
% 1.20/1.06 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)) | c1_1(a434) | c3_1(a434) | (~c0_1(a434)))),
% 1.20/1.06 inference(quant_inst,[status(thm)],[])).
% 1.20/1.06 tff(680,plain,
% 1.20/1.06 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c3_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)) | (~c2_1(a447))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[679, 678])).
% 1.20/1.06 tff(681,plain,
% 1.20/1.06 (~c0_1(a447)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[680, 219, 674, 673, 672, 670, 659, 653, 615])).
% 1.20/1.06 tff(682,plain,
% 1.20/1.06 (^[U: $i] : refl((hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) <=> (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))))),
% 1.20/1.06 inference(bind,[status(th)],[])).
% 1.20/1.06 tff(683,plain,
% 1.20/1.06 (![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.06 inference(quant_intro,[status(thm)],[682])).
% 1.20/1.06 tff(684,plain,
% 1.20/1.06 (![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) <=> ![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(685,plain,
% 1.20/1.06 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c1_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c1_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c1_1(U))))), (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c1_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c1_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))), (((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp15) <=> (((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp15))), rewrite((((~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp15) <=> (hskp15 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))), ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp15) <=> (hskp15 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))))), (((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp15) | hskp9) <=> ((hskp15 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp9))), rewrite(((hskp15 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U))) | hskp9) <=> (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))), (((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp15) | hskp9) <=> (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))))),
% 1.20/1.06 inference(bind,[status(th)],[])).
% 1.20/1.06 tff(686,plain,
% 1.20/1.06 (![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp15) | hskp9) <=> ![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.06 inference(quant_intro,[status(thm)],[685])).
% 1.20/1.06 tff(687,axiom,(![U: $i] : ((((((~c1_1(U)) | (~ndr1_0)) | c0_1(U)) | c2_1(U)) | hskp15) | hskp9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause137')).
% 1.20/1.06 tff(688,plain,
% 1.20/1.06 (![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[687, 686])).
% 1.20/1.06 tff(689,plain,
% 1.20/1.06 (![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[688, 684])).
% 1.20/1.06 tff(690,plain,(
% 1.20/1.06 ![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.06 inference(skolemize,[status(sab)],[689])).
% 1.20/1.06 tff(691,plain,
% 1.20/1.06 (![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[690, 683])).
% 1.20/1.06 tff(692,plain,
% 1.20/1.06 (((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | c0_1(a445) | (~c1_1(a445)) | (~ndr1_0) | c2_1(a445))) <=> ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp15 | hskp9 | c0_1(a445) | (~c1_1(a445)) | (~ndr1_0) | c2_1(a445))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(693,plain,
% 1.20/1.06 ((hskp15 | hskp9 | (~ndr1_0) | c2_1(a445) | c0_1(a445) | (~c1_1(a445))) <=> (hskp15 | hskp9 | c0_1(a445) | (~c1_1(a445)) | (~ndr1_0) | c2_1(a445))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(694,plain,
% 1.20/1.06 (((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | (~ndr1_0) | c2_1(a445) | c0_1(a445) | (~c1_1(a445)))) <=> ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | c0_1(a445) | (~c1_1(a445)) | (~ndr1_0) | c2_1(a445)))),
% 1.20/1.06 inference(monotonicity,[status(thm)],[693])).
% 1.20/1.06 tff(695,plain,
% 1.20/1.06 (((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | (~ndr1_0) | c2_1(a445) | c0_1(a445) | (~c1_1(a445)))) <=> ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp15 | hskp9 | c0_1(a445) | (~c1_1(a445)) | (~ndr1_0) | c2_1(a445))),
% 1.20/1.06 inference(transitivity,[status(thm)],[694, 692])).
% 1.20/1.06 tff(696,plain,
% 1.20/1.06 ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | (~ndr1_0) | c2_1(a445) | c0_1(a445) | (~c1_1(a445)))),
% 1.20/1.06 inference(quant_inst,[status(thm)],[])).
% 1.20/1.06 tff(697,plain,
% 1.20/1.06 ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp15 | hskp9 | c0_1(a445) | (~c1_1(a445)) | (~ndr1_0) | c2_1(a445)),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[696, 695])).
% 1.20/1.06 tff(698,plain,
% 1.20/1.06 (hskp15 | hskp9 | (~c1_1(a445)) | c2_1(a445)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[697, 219, 40, 691])).
% 1.20/1.06 tff(699,plain,
% 1.20/1.06 (hskp15),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[698, 629, 622, 616])).
% 1.20/1.06 tff(700,plain,
% 1.20/1.06 (((~hskp15) | (~c1_1(a454))) <=> ((~hskp15) | (~c1_1(a454)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(701,plain,
% 1.20/1.06 (((~c1_1(a454)) | (~hskp15)) <=> ((~hskp15) | (~c1_1(a454)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.06 tff(702,axiom,((~c1_1(a454)) | (~hskp15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause103')).
% 1.20/1.06 tff(703,plain,
% 1.20/1.06 ((~hskp15) | (~c1_1(a454))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[702, 701])).
% 1.20/1.06 tff(704,plain,
% 1.20/1.06 ((~hskp15) | (~c1_1(a454))),
% 1.20/1.06 inference(modus_ponens,[status(thm)],[703, 700])).
% 1.20/1.06 tff(705,plain,
% 1.20/1.06 (~c1_1(a454)),
% 1.20/1.06 inference(unit_resolution,[status(thm)],[704, 699])).
% 1.20/1.06 tff(706,plain,
% 1.20/1.06 (((~hskp15) | (~c0_1(a454))) <=> ((~hskp15) | (~c0_1(a454)))),
% 1.20/1.06 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(707,plain,
% 1.20/1.07 (((~c0_1(a454)) | (~hskp15)) <=> ((~hskp15) | (~c0_1(a454)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(708,axiom,((~c0_1(a454)) | (~hskp15)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause102')).
% 1.20/1.07 tff(709,plain,
% 1.20/1.07 ((~hskp15) | (~c0_1(a454))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[708, 707])).
% 1.20/1.07 tff(710,plain,
% 1.20/1.07 ((~hskp15) | (~c0_1(a454))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[709, 706])).
% 1.20/1.07 tff(711,plain,
% 1.20/1.07 (~c0_1(a454)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[710, 699])).
% 1.20/1.07 tff(712,plain,
% 1.20/1.07 (((~hskp15) | c3_1(a454)) <=> ((~hskp15) | c3_1(a454))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(713,axiom,((~hskp15) | c3_1(a454)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause64')).
% 1.20/1.07 tff(714,plain,
% 1.20/1.07 ((~hskp15) | c3_1(a454)),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[713, 712])).
% 1.20/1.07 tff(715,plain,
% 1.20/1.07 ((~hskp15) | c3_1(a454)),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[714, 712])).
% 1.20/1.07 tff(716,plain,
% 1.20/1.07 ((~hskp15) | c3_1(a454)),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[715, 712])).
% 1.20/1.07 tff(717,plain,
% 1.20/1.07 ((~hskp15) | c3_1(a454)),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[716, 712])).
% 1.20/1.07 tff(718,plain,
% 1.20/1.07 ((~hskp15) | c3_1(a454)),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[717, 712])).
% 1.20/1.07 tff(719,plain,
% 1.20/1.07 ((~hskp15) | c3_1(a454)),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[718, 712])).
% 1.20/1.07 tff(720,plain,
% 1.20/1.07 ((~hskp15) | c3_1(a454)),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[719, 712])).
% 1.20/1.07 tff(721,plain,
% 1.20/1.07 ((~hskp15) | c3_1(a454)),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[720, 712])).
% 1.20/1.07 tff(722,plain,
% 1.20/1.07 (c3_1(a454)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[721, 699])).
% 1.20/1.07 tff(723,plain,
% 1.20/1.07 (((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp9 | hskp8 | c0_1(a454) | c1_1(a454) | (~ndr1_0) | (~c3_1(a454)))) <=> ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | hskp9 | hskp8 | c0_1(a454) | c1_1(a454) | (~ndr1_0) | (~c3_1(a454)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(724,plain,
% 1.20/1.07 ((hskp9 | hskp8 | (~ndr1_0) | c0_1(a454) | c1_1(a454) | (~c3_1(a454))) <=> (hskp9 | hskp8 | c0_1(a454) | c1_1(a454) | (~ndr1_0) | (~c3_1(a454)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(725,plain,
% 1.20/1.07 (((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp9 | hskp8 | (~ndr1_0) | c0_1(a454) | c1_1(a454) | (~c3_1(a454)))) <=> ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp9 | hskp8 | c0_1(a454) | c1_1(a454) | (~ndr1_0) | (~c3_1(a454))))),
% 1.20/1.07 inference(monotonicity,[status(thm)],[724])).
% 1.20/1.07 tff(726,plain,
% 1.20/1.07 (((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp9 | hskp8 | (~ndr1_0) | c0_1(a454) | c1_1(a454) | (~c3_1(a454)))) <=> ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | hskp9 | hskp8 | c0_1(a454) | c1_1(a454) | (~ndr1_0) | (~c3_1(a454)))),
% 1.20/1.07 inference(transitivity,[status(thm)],[725, 723])).
% 1.20/1.07 tff(727,plain,
% 1.20/1.07 ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp9 | hskp8 | (~ndr1_0) | c0_1(a454) | c1_1(a454) | (~c3_1(a454)))),
% 1.20/1.07 inference(quant_inst,[status(thm)],[])).
% 1.20/1.07 tff(728,plain,
% 1.20/1.07 ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | hskp9 | hskp8 | c0_1(a454) | c1_1(a454) | (~ndr1_0) | (~c3_1(a454))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[727, 726])).
% 1.20/1.07 tff(729,plain,
% 1.20/1.07 (hskp8),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[728, 219, 622, 722, 711, 705, 50])).
% 1.20/1.07 tff(730,plain,
% 1.20/1.07 (~c3_1(a444)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[277, 729])).
% 1.20/1.07 tff(731,plain,
% 1.20/1.07 (~c0_1(a444)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[283, 729])).
% 1.20/1.07 tff(732,plain,
% 1.20/1.07 (c2_1(a444)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[294, 729])).
% 1.20/1.07 tff(733,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(734,plain,
% 1.20/1.07 ((hskp14 | (~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444))) <=> (hskp14 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(735,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447))))),
% 1.20/1.07 inference(monotonicity,[status(thm)],[734])).
% 1.20/1.07 tff(736,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.20/1.07 inference(transitivity,[status(thm)],[735, 733])).
% 1.20/1.07 tff(737,plain,
% 1.20/1.07 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))),
% 1.20/1.07 inference(quant_inst,[status(thm)],[])).
% 1.20/1.07 tff(738,plain,
% 1.20/1.07 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[737, 736])).
% 1.20/1.07 tff(739,plain,
% 1.20/1.07 ($false),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[738, 219, 53, 673, 672, 732, 731, 730, 64, 681])).
% 1.20/1.07 tff(740,plain,(c3_1(a445) | hskp14 | (~c1_1(a445)) | c0_1(a445) | hskp10), inference(lemma,lemma(discharge,[]))).
% 1.20/1.07 tff(741,plain,
% 1.20/1.07 (c3_1(a445)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[740, 605, 53, 40, 54])).
% 1.20/1.07 tff(742,assumption,(c3_1(a445)), introduced(assumption)).
% 1.20/1.07 tff(743,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | c0_1(a445) | (~c1_1(a445)) | (~c3_1(a445)) | (~ndr1_0) | (~c2_1(a445)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp8 | c0_1(a445) | (~c1_1(a445)) | (~c3_1(a445)) | (~ndr1_0) | (~c2_1(a445)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(744,plain,
% 1.20/1.07 ((hskp8 | (~ndr1_0) | c0_1(a445) | (~c2_1(a445)) | (~c3_1(a445)) | c0_1(a445) | (~c1_1(a445)) | (~c2_1(a445))) <=> (hskp8 | c0_1(a445) | (~c1_1(a445)) | (~c3_1(a445)) | (~ndr1_0) | (~c2_1(a445)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(745,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | c0_1(a445) | (~c2_1(a445)) | (~c3_1(a445)) | c0_1(a445) | (~c1_1(a445)) | (~c2_1(a445)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | c0_1(a445) | (~c1_1(a445)) | (~c3_1(a445)) | (~ndr1_0) | (~c2_1(a445))))),
% 1.20/1.07 inference(monotonicity,[status(thm)],[744])).
% 1.20/1.07 tff(746,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | c0_1(a445) | (~c2_1(a445)) | (~c3_1(a445)) | c0_1(a445) | (~c1_1(a445)) | (~c2_1(a445)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp8 | c0_1(a445) | (~c1_1(a445)) | (~c3_1(a445)) | (~ndr1_0) | (~c2_1(a445)))),
% 1.20/1.07 inference(transitivity,[status(thm)],[745, 743])).
% 1.20/1.07 tff(747,plain,
% 1.20/1.07 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | c0_1(a445) | (~c2_1(a445)) | (~c3_1(a445)) | c0_1(a445) | (~c1_1(a445)) | (~c2_1(a445)))),
% 1.20/1.07 inference(quant_inst,[status(thm)],[])).
% 1.20/1.07 tff(748,plain,
% 1.20/1.07 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp8 | c0_1(a445) | (~c1_1(a445)) | (~c3_1(a445)) | (~ndr1_0) | (~c2_1(a445))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[747, 746])).
% 1.20/1.07 tff(749,plain,
% 1.20/1.07 (hskp8 | (~c1_1(a445)) | (~c3_1(a445)) | (~c2_1(a445))),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[748, 219, 40, 264])).
% 1.20/1.07 tff(750,plain,
% 1.20/1.07 (~c2_1(a445)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[749, 32, 616, 742])).
% 1.20/1.07 tff(751,plain,
% 1.20/1.07 (hskp15),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[698, 750, 622, 616])).
% 1.20/1.07 tff(752,plain,
% 1.20/1.07 (~c1_1(a454)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[704, 751])).
% 1.20/1.07 tff(753,plain,
% 1.20/1.07 (~c0_1(a454)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[710, 751])).
% 1.20/1.07 tff(754,plain,
% 1.20/1.07 (c3_1(a454)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[721, 751])).
% 1.20/1.07 tff(755,plain,
% 1.20/1.07 ($false),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[728, 219, 622, 32, 754, 753, 752, 50])).
% 1.20/1.07 tff(756,plain,(hskp8 | (~c1_1(a445)) | c0_1(a445) | (~c3_1(a445))), inference(lemma,lemma(discharge,[]))).
% 1.20/1.07 tff(757,plain,
% 1.20/1.07 (hskp8),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[756, 605, 40, 741])).
% 1.20/1.07 tff(758,plain,
% 1.20/1.07 (~c3_1(a444)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[277, 757])).
% 1.20/1.07 tff(759,plain,
% 1.20/1.07 (~c0_1(a444)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[283, 757])).
% 1.20/1.07 tff(760,plain,
% 1.20/1.07 (c2_1(a444)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[294, 757])).
% 1.20/1.07 tff(761,plain,
% 1.20/1.07 (~hskp9),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[621, 605])).
% 1.20/1.07 tff(762,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c1_1(a444)) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c1_1(a444)) | (~c2_1(a444)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(763,plain,
% 1.20/1.07 ((hskp9 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c0_1(a444) | c3_1(a444) | (~c1_1(a444))) <=> (hskp9 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c1_1(a444)) | (~c2_1(a444)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(764,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c0_1(a444) | c3_1(a444) | (~c1_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c1_1(a444)) | (~c2_1(a444))))),
% 1.20/1.07 inference(monotonicity,[status(thm)],[763])).
% 1.20/1.07 tff(765,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c0_1(a444) | c3_1(a444) | (~c1_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c1_1(a444)) | (~c2_1(a444)))),
% 1.20/1.07 inference(transitivity,[status(thm)],[764, 762])).
% 1.20/1.07 tff(766,plain,
% 1.20/1.07 ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c0_1(a444) | c3_1(a444) | (~c1_1(a444)))),
% 1.20/1.07 inference(quant_inst,[status(thm)],[])).
% 1.20/1.07 tff(767,plain,
% 1.20/1.07 ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c1_1(a444)) | (~c2_1(a444))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[766, 765])).
% 1.20/1.07 tff(768,plain,
% 1.20/1.07 (~c1_1(a444)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[767, 219, 761, 760, 759, 758, 30])).
% 1.20/1.07 tff(769,plain,
% 1.20/1.07 (~c3_1(a486)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[575, 219, 53, 137, 760, 126, 759, 758, 64])).
% 1.20/1.07 tff(770,plain,
% 1.20/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c3_1(a444) | (~ndr1_0) | c1_1(a444) | (~c2_1(a444)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c3_1(a444) | (~ndr1_0) | c1_1(a444) | (~c2_1(a444)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(771,plain,
% 1.20/1.07 (((~ndr1_0) | c3_1(a444) | c1_1(a444) | (~c2_1(a444)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486))) <=> (c0_1(a486) | c3_1(a444) | (~ndr1_0) | c1_1(a444) | (~c2_1(a444)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(772,plain,
% 1.20/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a444) | c1_1(a444) | (~c2_1(a444)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c3_1(a444) | (~ndr1_0) | c1_1(a444) | (~c2_1(a444)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486))))),
% 1.20/1.07 inference(monotonicity,[status(thm)],[771])).
% 1.20/1.07 tff(773,plain,
% 1.20/1.07 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a444) | c1_1(a444) | (~c2_1(a444)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c3_1(a444) | (~ndr1_0) | c1_1(a444) | (~c2_1(a444)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.20/1.07 inference(transitivity,[status(thm)],[772, 770])).
% 1.20/1.07 tff(774,plain,
% 1.20/1.07 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a444) | c1_1(a444) | (~c2_1(a444)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))),
% 1.20/1.07 inference(quant_inst,[status(thm)],[])).
% 1.20/1.07 tff(775,plain,
% 1.20/1.07 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c3_1(a444) | (~ndr1_0) | c1_1(a444) | (~c2_1(a444)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[774, 773])).
% 1.20/1.07 tff(776,plain,
% 1.20/1.07 ($false),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[775, 219, 148, 137, 760, 126, 758, 10, 769, 768])).
% 1.20/1.07 tff(777,plain,(c0_1(a445) | hskp14 | hskp10 | hskp30), inference(lemma,lemma(discharge,[]))).
% 1.20/1.07 tff(778,plain,
% 1.20/1.07 (c0_1(a445)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[777, 105, 54, 53])).
% 1.20/1.07 tff(779,plain,
% 1.20/1.07 (((~hskp9) | (~c0_1(a445))) <=> ((~hskp9) | (~c0_1(a445)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(780,plain,
% 1.20/1.07 (((~c0_1(a445)) | (~hskp9)) <=> ((~hskp9) | (~c0_1(a445)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(781,axiom,((~c0_1(a445)) | (~hskp9)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause111')).
% 1.20/1.07 tff(782,plain,
% 1.20/1.07 ((~hskp9) | (~c0_1(a445))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[781, 780])).
% 1.20/1.07 tff(783,plain,
% 1.20/1.07 ((~hskp9) | (~c0_1(a445))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[782, 779])).
% 1.20/1.07 tff(784,plain,
% 1.20/1.07 (~hskp9),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[783, 778])).
% 1.20/1.07 tff(785,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | c0_1(a486) | (~ndr1_0) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a486) | (~ndr1_0) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(786,plain,
% 1.20/1.07 ((hskp9 | (~ndr1_0) | c3_1(a486) | c0_1(a486) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486))) <=> (hskp9 | c0_1(a486) | (~ndr1_0) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(787,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a486) | c0_1(a486) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | c0_1(a486) | (~ndr1_0) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486))))),
% 1.20/1.07 inference(monotonicity,[status(thm)],[786])).
% 1.20/1.07 tff(788,plain,
% 1.20/1.07 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a486) | c0_1(a486) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a486) | (~ndr1_0) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.20/1.07 inference(transitivity,[status(thm)],[787, 785])).
% 1.20/1.07 tff(789,plain,
% 1.20/1.07 ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a486) | c0_1(a486) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))),
% 1.20/1.07 inference(quant_inst,[status(thm)],[])).
% 1.20/1.07 tff(790,plain,
% 1.20/1.07 ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a486) | (~ndr1_0) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486))),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[789, 788])).
% 1.20/1.07 tff(791,plain,
% 1.20/1.07 ($false),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[790, 219, 31, 189, 191, 190, 30, 193])).
% 1.20/1.07 tff(792,plain,(c3_1(a486) | hskp9 | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486)), inference(lemma,lemma(discharge,[]))).
% 1.20/1.07 tff(793,plain,
% 1.20/1.07 (c3_1(a486)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[792, 784, 148, 137, 126])).
% 1.20/1.07 tff(794,plain,
% 1.20/1.07 (hskp8 | (~c3_1(a486))),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[270, 219, 148, 137, 126, 264])).
% 1.20/1.07 tff(795,plain,
% 1.20/1.07 (hskp8),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[794, 793])).
% 1.20/1.07 tff(796,plain,
% 1.20/1.07 (~c3_1(a444)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[277, 795])).
% 1.20/1.07 tff(797,plain,
% 1.20/1.07 (~c0_1(a444)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[283, 795])).
% 1.20/1.07 tff(798,plain,
% 1.20/1.07 (c2_1(a444)),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[294, 795])).
% 1.20/1.07 tff(799,plain,
% 1.20/1.07 ($false),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[575, 219, 53, 137, 798, 126, 797, 796, 64, 793])).
% 1.20/1.07 tff(800,plain,(hskp30 | hskp14 | hskp10), inference(lemma,lemma(discharge,[]))).
% 1.20/1.07 tff(801,plain,
% 1.20/1.07 (hskp30),
% 1.20/1.07 inference(unit_resolution,[status(thm)],[800, 54, 53])).
% 1.20/1.07 tff(802,plain,
% 1.20/1.07 (((~hskp30) | c2_1(a456)) <=> ((~hskp30) | c2_1(a456))),
% 1.20/1.07 inference(rewrite,[status(thm)],[])).
% 1.20/1.07 tff(803,axiom,((~hskp30) | c2_1(a456)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause40')).
% 1.20/1.07 tff(804,plain,
% 1.20/1.07 ((~hskp30) | c2_1(a456)),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[803, 802])).
% 1.20/1.07 tff(805,plain,
% 1.20/1.07 ((~hskp30) | c2_1(a456)),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[804, 802])).
% 1.20/1.07 tff(806,plain,
% 1.20/1.07 ((~hskp30) | c2_1(a456)),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[805, 802])).
% 1.20/1.07 tff(807,plain,
% 1.20/1.07 ((~hskp30) | c2_1(a456)),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[806, 802])).
% 1.20/1.07 tff(808,plain,
% 1.20/1.07 ((~hskp30) | c2_1(a456)),
% 1.20/1.07 inference(modus_ponens,[status(thm)],[807, 802])).
% 1.20/1.08 tff(809,plain,
% 1.20/1.08 ((~hskp30) | c2_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[808, 802])).
% 1.20/1.08 tff(810,plain,
% 1.20/1.08 ((~hskp30) | c2_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[809, 802])).
% 1.20/1.08 tff(811,plain,
% 1.20/1.08 ((~hskp30) | c2_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[810, 802])).
% 1.20/1.08 tff(812,plain,
% 1.20/1.08 (c2_1(a456)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[811, 801])).
% 1.20/1.08 tff(813,plain,
% 1.20/1.08 (((~hskp30) | c0_1(a456)) <=> ((~hskp30) | c0_1(a456))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(814,axiom,((~hskp30) | c0_1(a456)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause38')).
% 1.20/1.08 tff(815,plain,
% 1.20/1.08 ((~hskp30) | c0_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[814, 813])).
% 1.20/1.08 tff(816,plain,
% 1.20/1.08 ((~hskp30) | c0_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[815, 813])).
% 1.20/1.08 tff(817,plain,
% 1.20/1.08 ((~hskp30) | c0_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[816, 813])).
% 1.20/1.08 tff(818,plain,
% 1.20/1.08 ((~hskp30) | c0_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[817, 813])).
% 1.20/1.08 tff(819,plain,
% 1.20/1.08 ((~hskp30) | c0_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[818, 813])).
% 1.20/1.08 tff(820,plain,
% 1.20/1.08 ((~hskp30) | c0_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[819, 813])).
% 1.20/1.08 tff(821,plain,
% 1.20/1.08 ((~hskp30) | c0_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[820, 813])).
% 1.20/1.08 tff(822,plain,
% 1.20/1.08 ((~hskp30) | c0_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[821, 813])).
% 1.20/1.08 tff(823,plain,
% 1.20/1.08 (c0_1(a456)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[822, 801])).
% 1.20/1.08 tff(824,plain,
% 1.20/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a445) | c1_1(a445) | c3_1(a445) | c0_1(a433) | c1_1(a433) | c2_1(a433) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a445) | c1_1(a445) | c3_1(a445) | c0_1(a433) | c1_1(a433) | c2_1(a433) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(825,plain,
% 1.20/1.08 (((~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a433) | c1_1(a433) | c0_1(a433)) <=> (c0_1(a445) | c1_1(a445) | c3_1(a445) | c0_1(a433) | c1_1(a433) | c2_1(a433) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(826,plain,
% 1.20/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a433) | c1_1(a433) | c0_1(a433))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a445) | c1_1(a445) | c3_1(a445) | c0_1(a433) | c1_1(a433) | c2_1(a433) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456))))),
% 1.20/1.08 inference(monotonicity,[status(thm)],[825])).
% 1.20/1.08 tff(827,plain,
% 1.20/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a433) | c1_1(a433) | c0_1(a433))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a445) | c1_1(a445) | c3_1(a445) | c0_1(a433) | c1_1(a433) | c2_1(a433) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)))),
% 1.20/1.08 inference(transitivity,[status(thm)],[826, 824])).
% 1.20/1.08 tff(828,plain,
% 1.20/1.08 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a433) | c1_1(a433) | c0_1(a433))),
% 1.20/1.08 inference(quant_inst,[status(thm)],[])).
% 1.20/1.08 tff(829,plain,
% 1.20/1.08 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a445) | c1_1(a445) | c3_1(a445) | c0_1(a433) | c1_1(a433) | c2_1(a433) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456))),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[828, 827])).
% 1.20/1.08 tff(830,plain,
% 1.20/1.08 (~c3_1(a456)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[829, 219, 823, 812, 40, 52, 51, 104, 98, 92, 74])).
% 1.20/1.08 tff(831,plain,
% 1.20/1.08 (((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | (hskp14 | hskp12 | (~ndr1_0) | (~c2_1(a456)) | (~c0_1(a456)) | c3_1(a456))) <=> ((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | hskp14 | hskp12 | (~ndr1_0) | (~c2_1(a456)) | (~c0_1(a456)) | c3_1(a456))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(832,plain,
% 1.20/1.08 ((hskp14 | hskp12 | (~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c0_1(a456))) <=> (hskp14 | hskp12 | (~ndr1_0) | (~c2_1(a456)) | (~c0_1(a456)) | c3_1(a456))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(833,plain,
% 1.20/1.08 (((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | (hskp14 | hskp12 | (~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c0_1(a456)))) <=> ((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | (hskp14 | hskp12 | (~ndr1_0) | (~c2_1(a456)) | (~c0_1(a456)) | c3_1(a456)))),
% 1.20/1.08 inference(monotonicity,[status(thm)],[832])).
% 1.20/1.08 tff(834,plain,
% 1.20/1.08 (((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | (hskp14 | hskp12 | (~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c0_1(a456)))) <=> ((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | hskp14 | hskp12 | (~ndr1_0) | (~c2_1(a456)) | (~c0_1(a456)) | c3_1(a456))),
% 1.20/1.08 inference(transitivity,[status(thm)],[833, 831])).
% 1.20/1.08 tff(835,plain,
% 1.20/1.08 ((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | (hskp14 | hskp12 | (~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c0_1(a456)))),
% 1.20/1.08 inference(quant_inst,[status(thm)],[])).
% 1.20/1.08 tff(836,plain,
% 1.20/1.08 ((~![U: $i] : (hskp14 | hskp12 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c0_1(U)))) | hskp14 | hskp12 | (~ndr1_0) | (~c2_1(a456)) | (~c0_1(a456)) | c3_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[835, 834])).
% 1.20/1.08 tff(837,plain,
% 1.20/1.08 (hskp12 | c3_1(a456)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[836, 219, 53, 823, 812, 168])).
% 1.20/1.08 tff(838,plain,
% 1.20/1.08 (hskp12),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[837, 830])).
% 1.20/1.08 tff(839,plain,
% 1.20/1.08 (~c0_1(a450)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[409, 838])).
% 1.20/1.08 tff(840,plain,
% 1.20/1.08 (c3_1(a450)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[443, 838])).
% 1.20/1.08 tff(841,plain,
% 1.20/1.08 (c1_1(a450)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[454, 838])).
% 1.20/1.08 tff(842,plain,
% 1.20/1.08 (((~hskp30) | c1_1(a456)) <=> ((~hskp30) | c1_1(a456))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(843,axiom,((~hskp30) | c1_1(a456)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause39')).
% 1.20/1.08 tff(844,plain,
% 1.20/1.08 ((~hskp30) | c1_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[843, 842])).
% 1.20/1.08 tff(845,plain,
% 1.20/1.08 ((~hskp30) | c1_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[844, 842])).
% 1.20/1.08 tff(846,plain,
% 1.20/1.08 ((~hskp30) | c1_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[845, 842])).
% 1.20/1.08 tff(847,plain,
% 1.20/1.08 ((~hskp30) | c1_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[846, 842])).
% 1.20/1.08 tff(848,plain,
% 1.20/1.08 ((~hskp30) | c1_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[847, 842])).
% 1.20/1.08 tff(849,plain,
% 1.20/1.08 ((~hskp30) | c1_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[848, 842])).
% 1.20/1.08 tff(850,plain,
% 1.20/1.08 ((~hskp30) | c1_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[849, 842])).
% 1.20/1.08 tff(851,plain,
% 1.20/1.08 ((~hskp30) | c1_1(a456)),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[850, 842])).
% 1.20/1.08 tff(852,plain,
% 1.20/1.08 (c1_1(a456)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[851, 801])).
% 1.20/1.08 tff(853,plain,
% 1.20/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a450) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a445)) | (~c1_1(a450)) | (~c3_1(a450)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a450) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a445)) | (~c1_1(a450)) | (~c3_1(a450)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(854,plain,
% 1.20/1.08 (((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a445) | c0_1(a445) | (~c2_1(a445))) <=> (c0_1(a450) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a445)) | (~c1_1(a450)) | (~c3_1(a450)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(855,plain,
% 1.20/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a445) | c0_1(a445) | (~c2_1(a445)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a450) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a445)) | (~c1_1(a450)) | (~c3_1(a450))))),
% 1.20/1.08 inference(monotonicity,[status(thm)],[854])).
% 1.20/1.08 tff(856,plain,
% 1.20/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a445) | c0_1(a445) | (~c2_1(a445)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a450) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a445)) | (~c1_1(a450)) | (~c3_1(a450)))),
% 1.20/1.08 inference(transitivity,[status(thm)],[855, 853])).
% 1.20/1.08 tff(857,plain,
% 1.20/1.08 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a445) | c0_1(a445) | (~c2_1(a445)))),
% 1.20/1.08 inference(quant_inst,[status(thm)],[])).
% 1.20/1.08 tff(858,plain,
% 1.20/1.08 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a450) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a445)) | (~c1_1(a450)) | (~c3_1(a450))),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[857, 856])).
% 1.20/1.08 tff(859,plain,
% 1.20/1.08 (~c2_1(a445)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[858, 219, 852, 812, 841, 840, 839, 40, 52, 158, 830])).
% 1.20/1.08 tff(860,plain,
% 1.20/1.08 (hskp29),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[501, 859, 51])).
% 1.20/1.08 tff(861,plain,
% 1.20/1.08 (c3_1(a447)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[512, 860])).
% 1.20/1.08 tff(862,plain,
% 1.20/1.08 (c2_1(a447)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[523, 860])).
% 1.20/1.08 tff(863,plain,
% 1.20/1.08 (~c0_1(a447)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[530, 219, 862, 861, 40, 52, 51, 74, 859])).
% 1.20/1.08 tff(864,plain,
% 1.20/1.08 (c1_1(a447)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[558, 860])).
% 1.20/1.08 tff(865,plain,
% 1.20/1.08 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | (~c3_1(a447)) | (~c1_1(a447)) | c0_1(a447) | (~c2_1(a447)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp8 | (~ndr1_0) | (~c3_1(a447)) | (~c1_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(866,plain,
% 1.20/1.08 ((hskp8 | (~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a447) | (~c1_1(a447)) | (~c2_1(a447))) <=> (hskp8 | (~ndr1_0) | (~c3_1(a447)) | (~c1_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(867,plain,
% 1.20/1.08 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a447) | (~c1_1(a447)) | (~c2_1(a447)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | (~c3_1(a447)) | (~c1_1(a447)) | c0_1(a447) | (~c2_1(a447))))),
% 1.20/1.08 inference(monotonicity,[status(thm)],[866])).
% 1.20/1.08 tff(868,plain,
% 1.20/1.08 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a447) | (~c1_1(a447)) | (~c2_1(a447)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp8 | (~ndr1_0) | (~c3_1(a447)) | (~c1_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.20/1.08 inference(transitivity,[status(thm)],[867, 865])).
% 1.20/1.08 tff(869,plain,
% 1.20/1.08 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a447) | (~c1_1(a447)) | (~c2_1(a447)))),
% 1.20/1.08 inference(quant_inst,[status(thm)],[])).
% 1.20/1.08 tff(870,plain,
% 1.20/1.08 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp8 | (~ndr1_0) | (~c3_1(a447)) | (~c1_1(a447)) | c0_1(a447) | (~c2_1(a447))),
% 1.20/1.08 inference(modus_ponens,[status(thm)],[869, 868])).
% 1.20/1.08 tff(871,plain,
% 1.20/1.08 ($false),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[870, 219, 32, 864, 862, 861, 264, 863])).
% 1.20/1.08 tff(872,plain,(hskp8 | c0_1(a445) | c1_1(a445) | c3_1(a445) | hskp10 | hskp14), inference(lemma,lemma(discharge,[]))).
% 1.20/1.08 tff(873,plain,
% 1.20/1.08 (hskp8),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[872, 51, 52, 40, 54, 53])).
% 1.20/1.08 tff(874,plain,
% 1.20/1.08 (~c3_1(a444)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[277, 873])).
% 1.20/1.08 tff(875,plain,
% 1.20/1.08 (~c0_1(a444)),
% 1.20/1.08 inference(unit_resolution,[status(thm)],[283, 873])).
% 1.20/1.08 tff(876,assumption,(~c3_1(a456)), introduced(assumption)).
% 1.20/1.08 tff(877,plain,
% 1.20/1.08 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W))))),
% 1.20/1.08 inference(bind,[status(th)],[])).
% 1.20/1.08 tff(878,plain,
% 1.20/1.08 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_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)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))),
% 1.20/1.08 inference(quant_intro,[status(thm)],[877])).
% 1.20/1.08 tff(879,plain,
% 1.20/1.08 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_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)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))),
% 1.20/1.08 inference(rewrite,[status(thm)],[])).
% 1.20/1.08 tff(880,plain,
% 1.20/1.08 (^[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)) | (~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)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(V))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~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)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~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)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c2_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c0_1(V))) | (~c2_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c0_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(W)))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c2_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(W))))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c2_1(W))) | c3_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(W))) | c3_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(W))) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(W)))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c2_1(W))) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(W))))), ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c2_1(W))) | c3_1(V)) | c0_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(W))) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W)))), ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c2_1(W))) | c3_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W))))), (((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c2_1(W))) | c3_1(V)) | c0_1(W)) | c3_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W))) | c3_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | (~c2_1(W))) | c3_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))), (((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c2_1(W))) | c3_1(V)) | c0_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))))),
% 1.20/1.08 inference(bind,[status(th)],[])).
% 1.20/1.08 tff(881,plain,
% 1.20/1.08 (![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c2_1(W))) | c3_1(V)) | c0_1(W)) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))),
% 1.20/1.08 inference(quant_intro,[status(thm)],[880])).
% 1.20/1.08 tff(882,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c1_1(V))) | (~c2_1(W))) | c3_1(V)) | c0_1(W)) | c3_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause202')).
% 1.28/1.08 tff(883,plain,
% 1.28/1.08 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))),
% 1.28/1.08 inference(modus_ponens,[status(thm)],[882, 881])).
% 1.28/1.08 tff(884,plain,
% 1.28/1.08 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))),
% 1.28/1.08 inference(modus_ponens,[status(thm)],[883, 879])).
% 1.28/1.08 tff(885,plain,(
% 1.28/1.08 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))),
% 1.28/1.08 inference(skolemize,[status(sab)],[884])).
% 1.28/1.08 tff(886,plain,
% 1.28/1.08 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))),
% 1.28/1.08 inference(modus_ponens,[status(thm)],[885, 878])).
% 1.28/1.08 tff(887,plain,
% 1.28/1.08 (c2_1(a444)),
% 1.28/1.08 inference(unit_resolution,[status(thm)],[294, 873])).
% 1.28/1.08 tff(888,plain,
% 1.28/1.08 (hskp12),
% 1.28/1.08 inference(unit_resolution,[status(thm)],[837, 876])).
% 1.28/1.08 tff(889,plain,
% 1.28/1.08 (~c0_1(a450)),
% 1.28/1.08 inference(unit_resolution,[status(thm)],[409, 888])).
% 1.28/1.08 tff(890,plain,
% 1.28/1.08 (c3_1(a450)),
% 1.28/1.08 inference(unit_resolution,[status(thm)],[443, 888])).
% 1.28/1.08 tff(891,plain,
% 1.28/1.08 (c1_1(a450)),
% 1.28/1.08 inference(unit_resolution,[status(thm)],[454, 888])).
% 1.28/1.08 tff(892,plain,
% 1.28/1.08 (~c2_1(a445)),
% 1.28/1.08 inference(unit_resolution,[status(thm)],[858, 219, 852, 812, 891, 890, 889, 40, 52, 158, 876])).
% 1.28/1.08 tff(893,plain,
% 1.28/1.08 (hskp29),
% 1.28/1.08 inference(unit_resolution,[status(thm)],[501, 892, 51])).
% 1.28/1.08 tff(894,plain,
% 1.28/1.08 (c3_1(a447)),
% 1.28/1.08 inference(unit_resolution,[status(thm)],[512, 893])).
% 1.28/1.08 tff(895,plain,
% 1.28/1.08 (c2_1(a447)),
% 1.28/1.08 inference(unit_resolution,[status(thm)],[523, 893])).
% 1.28/1.08 tff(896,plain,
% 1.28/1.08 (c1_1(a447)),
% 1.28/1.08 inference(unit_resolution,[status(thm)],[558, 893])).
% 1.28/1.08 tff(897,plain,
% 1.28/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))) | (c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a444)) | (~c3_1(a447)) | (~c1_1(a447)) | (~c2_1(a447)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a444)) | (~c3_1(a447)) | (~c1_1(a447)) | (~c2_1(a447)))),
% 1.28/1.08 inference(rewrite,[status(thm)],[])).
% 1.28/1.08 tff(898,plain,
% 1.28/1.08 (((~ndr1_0) | (~c2_1(a447)) | (~c3_1(a447)) | (~c1_1(a447)) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444))) <=> (c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a444)) | (~c3_1(a447)) | (~c1_1(a447)) | (~c2_1(a447)))),
% 1.28/1.08 inference(rewrite,[status(thm)],[])).
% 1.28/1.08 tff(899,plain,
% 1.28/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a447)) | (~c3_1(a447)) | (~c1_1(a447)) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))) | (c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a444)) | (~c3_1(a447)) | (~c1_1(a447)) | (~c2_1(a447))))),
% 1.28/1.08 inference(monotonicity,[status(thm)],[898])).
% 1.28/1.08 tff(900,plain,
% 1.28/1.08 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a447)) | (~c3_1(a447)) | (~c1_1(a447)) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a444)) | (~c3_1(a447)) | (~c1_1(a447)) | (~c2_1(a447)))),
% 1.28/1.08 inference(transitivity,[status(thm)],[899, 897])).
% 1.28/1.08 tff(901,plain,
% 1.28/1.08 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))) | ((~ndr1_0) | (~c2_1(a447)) | (~c3_1(a447)) | (~c1_1(a447)) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))),
% 1.28/1.08 inference(quant_inst,[status(thm)],[])).
% 1.28/1.08 tff(902,plain,
% 1.28/1.08 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | (~c1_1(V)) | (~c0_1(V)) | c0_1(W) | c3_1(W) | (~c2_1(W)))) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a444)) | (~c3_1(a447)) | (~c1_1(a447)) | (~c2_1(a447))),
% 1.28/1.08 inference(modus_ponens,[status(thm)],[901, 900])).
% 1.28/1.08 tff(903,plain,
% 1.28/1.08 ($false),
% 1.28/1.08 inference(unit_resolution,[status(thm)],[902, 219, 823, 852, 896, 895, 894, 887, 875, 874, 886, 876])).
% 1.28/1.08 tff(904,plain,(c3_1(a456) | c3_1(a445) | hskp10 | c0_1(a445) | c1_1(a445) | hskp14), inference(lemma,lemma(discharge,[]))).
% 1.28/1.08 tff(905,plain,
% 1.28/1.08 (c3_1(a456)),
% 1.28/1.08 inference(unit_resolution,[status(thm)],[904, 51, 54, 40, 52, 53])).
% 1.28/1.08 tff(906,plain,
% 1.28/1.08 (^[V: $i, U: $i] : refl((hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))))),
% 1.28/1.08 inference(bind,[status(th)],[])).
% 1.28/1.08 tff(907,plain,
% 1.28/1.08 (![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.28/1.08 inference(quant_intro,[status(thm)],[906])).
% 1.28/1.08 tff(908,plain,
% 1.28/1.08 (![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.28/1.09 inference(rewrite,[status(thm)],[])).
% 1.28/1.09 tff(909,plain,
% 1.28/1.09 (^[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)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c2_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c2_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c2_1(V)) | hskp25) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp25))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp25) <=> (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c2_1(V)) | hskp25) <=> (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))))),
% 1.28/1.09 inference(bind,[status(th)],[])).
% 1.28/1.09 tff(910,plain,
% 1.28/1.09 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c2_1(V)) | hskp25) <=> ![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.28/1.09 inference(quant_intro,[status(thm)],[909])).
% 1.28/1.09 tff(911,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c2_1(V)) | hskp25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause190')).
% 1.28/1.09 tff(912,plain,
% 1.28/1.09 (![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[911, 910])).
% 1.28/1.09 tff(913,plain,
% 1.28/1.09 (![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[912, 908])).
% 1.28/1.09 tff(914,plain,(
% 1.28/1.09 ![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.28/1.09 inference(skolemize,[status(sab)],[913])).
% 1.28/1.09 tff(915,plain,
% 1.28/1.09 (![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[914, 907])).
% 1.28/1.09 tff(916,plain,
% 1.28/1.09 (^[V: $i, U: $i] : refl((hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))) <=> (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))))),
% 1.28/1.09 inference(bind,[status(th)],[])).
% 1.28/1.09 tff(917,plain,
% 1.28/1.09 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.28/1.09 inference(quant_intro,[status(thm)],[916])).
% 1.28/1.09 tff(918,plain,
% 1.28/1.09 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.28/1.09 inference(rewrite,[status(thm)],[])).
% 1.28/1.09 tff(919,plain,
% 1.28/1.09 (^[V: $i, U: $i] : 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))) | 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)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~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)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | 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)) | c0_1(V) | c3_1(V) | (~c2_1(V)))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | hskp16) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))) | hskp16))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))) | hskp16) <=> (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | hskp16) <=> (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))))),
% 1.28/1.09 inference(bind,[status(th)],[])).
% 1.28/1.09 tff(920,plain,
% 1.28/1.09 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | hskp16) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.28/1.09 inference(quant_intro,[status(thm)],[919])).
% 1.28/1.09 tff(921,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(V)) | c3_1(V)) | hskp16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause180')).
% 1.28/1.09 tff(922,plain,
% 1.28/1.09 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[921, 920])).
% 1.28/1.09 tff(923,plain,
% 1.28/1.09 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[922, 918])).
% 1.28/1.09 tff(924,plain,(
% 1.28/1.09 ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.28/1.09 inference(skolemize,[status(sab)],[923])).
% 1.28/1.09 tff(925,plain,
% 1.28/1.09 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[924, 917])).
% 1.28/1.09 tff(926,plain,
% 1.28/1.09 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp16 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c1_1(a456)) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp16 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c1_1(a456)) | (~c2_1(a444)))),
% 1.28/1.09 inference(rewrite,[status(thm)],[])).
% 1.28/1.09 tff(927,plain,
% 1.28/1.09 ((hskp16 | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c1_1(a456)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444))) <=> (hskp16 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c1_1(a456)) | (~c2_1(a444)))),
% 1.28/1.09 inference(rewrite,[status(thm)],[])).
% 1.28/1.09 tff(928,plain,
% 1.28/1.09 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c1_1(a456)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp16 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c1_1(a456)) | (~c2_1(a444))))),
% 1.28/1.09 inference(monotonicity,[status(thm)],[927])).
% 1.28/1.09 tff(929,plain,
% 1.28/1.09 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c1_1(a456)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp16 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c1_1(a456)) | (~c2_1(a444)))),
% 1.28/1.09 inference(transitivity,[status(thm)],[928, 926])).
% 1.28/1.09 tff(930,plain,
% 1.28/1.09 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp16 | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c1_1(a456)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))),
% 1.28/1.09 inference(quant_inst,[status(thm)],[])).
% 1.28/1.09 tff(931,plain,
% 1.28/1.09 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp16 | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c1_1(a456)) | (~c2_1(a444))),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[930, 929])).
% 1.28/1.09 tff(932,plain,
% 1.28/1.09 (hskp16 | (~c3_1(a456))),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[931, 219, 852, 812, 887, 875, 874, 925])).
% 1.28/1.09 tff(933,plain,
% 1.28/1.09 (hskp16),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[932, 905])).
% 1.28/1.09 tff(934,plain,
% 1.28/1.09 (~c2_1(a457)),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[339, 933])).
% 1.28/1.09 tff(935,plain,
% 1.28/1.09 (c3_1(a457)),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[350, 933])).
% 1.28/1.09 tff(936,plain,
% 1.28/1.09 (c1_1(a457)),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[361, 933])).
% 1.28/1.09 tff(937,plain,
% 1.28/1.09 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp25 | c2_1(a457) | (~ndr1_0) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)) | (~c3_1(a457)) | (~c1_1(a457)))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp25 | c2_1(a457) | (~ndr1_0) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)) | (~c3_1(a457)) | (~c1_1(a457)))),
% 1.28/1.09 inference(rewrite,[status(thm)],[])).
% 1.28/1.09 tff(938,plain,
% 1.28/1.09 ((hskp25 | (~ndr1_0) | (~c3_1(a456)) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457))) <=> (hskp25 | c2_1(a457) | (~ndr1_0) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)) | (~c3_1(a457)) | (~c1_1(a457)))),
% 1.28/1.09 inference(rewrite,[status(thm)],[])).
% 1.28/1.09 tff(939,plain,
% 1.28/1.09 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp25 | (~ndr1_0) | (~c3_1(a456)) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp25 | c2_1(a457) | (~ndr1_0) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)) | (~c3_1(a457)) | (~c1_1(a457))))),
% 1.28/1.09 inference(monotonicity,[status(thm)],[938])).
% 1.28/1.09 tff(940,plain,
% 1.28/1.09 (((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp25 | (~ndr1_0) | (~c3_1(a456)) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)))) <=> ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp25 | c2_1(a457) | (~ndr1_0) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)) | (~c3_1(a457)) | (~c1_1(a457)))),
% 1.28/1.09 inference(transitivity,[status(thm)],[939, 937])).
% 1.28/1.09 tff(941,plain,
% 1.28/1.09 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp25 | (~ndr1_0) | (~c3_1(a456)) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)))),
% 1.28/1.09 inference(quant_inst,[status(thm)],[])).
% 1.28/1.09 tff(942,plain,
% 1.28/1.09 ((~![V: $i, U: $i] : (hskp25 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp25 | c2_1(a457) | (~ndr1_0) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)) | (~c3_1(a457)) | (~c1_1(a457))),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[941, 940])).
% 1.28/1.09 tff(943,plain,
% 1.28/1.09 (hskp25),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[942, 219, 823, 852, 936, 935, 934, 915, 905])).
% 1.28/1.09 tff(944,plain,
% 1.28/1.09 (((~hskp25) | (~c0_1(a489))) <=> ((~hskp25) | (~c0_1(a489)))),
% 1.28/1.09 inference(rewrite,[status(thm)],[])).
% 1.28/1.09 tff(945,plain,
% 1.28/1.09 (((~c0_1(a489)) | (~hskp25)) <=> ((~hskp25) | (~c0_1(a489)))),
% 1.28/1.09 inference(rewrite,[status(thm)],[])).
% 1.28/1.09 tff(946,axiom,((~c0_1(a489)) | (~hskp25)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause87')).
% 1.28/1.09 tff(947,plain,
% 1.28/1.09 ((~hskp25) | (~c0_1(a489))),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[946, 945])).
% 1.28/1.09 tff(948,plain,
% 1.28/1.09 ((~hskp25) | (~c0_1(a489))),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[947, 944])).
% 1.28/1.09 tff(949,plain,
% 1.28/1.09 (~c0_1(a489)),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[948, 943])).
% 1.28/1.09 tff(950,plain,
% 1.28/1.09 (((~hskp25) | c3_1(a489)) <=> ((~hskp25) | c3_1(a489))),
% 1.28/1.09 inference(rewrite,[status(thm)],[])).
% 1.28/1.09 tff(951,axiom,((~hskp25) | c3_1(a489)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause50')).
% 1.28/1.09 tff(952,plain,
% 1.28/1.09 ((~hskp25) | c3_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[951, 950])).
% 1.28/1.09 tff(953,plain,
% 1.28/1.09 ((~hskp25) | c3_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[952, 950])).
% 1.28/1.09 tff(954,plain,
% 1.28/1.09 ((~hskp25) | c3_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[953, 950])).
% 1.28/1.09 tff(955,plain,
% 1.28/1.09 ((~hskp25) | c3_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[954, 950])).
% 1.28/1.09 tff(956,plain,
% 1.28/1.09 ((~hskp25) | c3_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[955, 950])).
% 1.28/1.09 tff(957,plain,
% 1.28/1.09 ((~hskp25) | c3_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[956, 950])).
% 1.28/1.09 tff(958,plain,
% 1.28/1.09 ((~hskp25) | c3_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[957, 950])).
% 1.28/1.09 tff(959,plain,
% 1.28/1.09 ((~hskp25) | c3_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[958, 950])).
% 1.28/1.09 tff(960,plain,
% 1.28/1.09 (c3_1(a489)),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[959, 943])).
% 1.28/1.09 tff(961,plain,
% 1.28/1.09 (((~hskp25) | c2_1(a489)) <=> ((~hskp25) | c2_1(a489))),
% 1.28/1.09 inference(rewrite,[status(thm)],[])).
% 1.28/1.09 tff(962,axiom,((~hskp25) | c2_1(a489)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause49')).
% 1.28/1.09 tff(963,plain,
% 1.28/1.09 ((~hskp25) | c2_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[962, 961])).
% 1.28/1.09 tff(964,plain,
% 1.28/1.09 ((~hskp25) | c2_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[963, 961])).
% 1.28/1.09 tff(965,plain,
% 1.28/1.09 ((~hskp25) | c2_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[964, 961])).
% 1.28/1.09 tff(966,plain,
% 1.28/1.09 ((~hskp25) | c2_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[965, 961])).
% 1.28/1.09 tff(967,plain,
% 1.28/1.09 ((~hskp25) | c2_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[966, 961])).
% 1.28/1.09 tff(968,plain,
% 1.28/1.09 ((~hskp25) | c2_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[967, 961])).
% 1.28/1.09 tff(969,plain,
% 1.28/1.09 ((~hskp25) | c2_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[968, 961])).
% 1.28/1.09 tff(970,plain,
% 1.28/1.09 ((~hskp25) | c2_1(a489)),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[969, 961])).
% 1.28/1.09 tff(971,plain,
% 1.28/1.09 (c2_1(a489)),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[970, 943])).
% 1.28/1.09 tff(972,plain,
% 1.28/1.09 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | c0_1(a489) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a489)) | (~c3_1(a489)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a489) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a489)) | (~c3_1(a489)))),
% 1.28/1.09 inference(rewrite,[status(thm)],[])).
% 1.28/1.09 tff(973,plain,
% 1.28/1.09 ((hskp14 | (~ndr1_0) | c0_1(a489) | (~c2_1(a489)) | (~c3_1(a489)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444))) <=> (hskp14 | c0_1(a489) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a489)) | (~c3_1(a489)))),
% 1.28/1.09 inference(rewrite,[status(thm)],[])).
% 1.28/1.09 tff(974,plain,
% 1.28/1.09 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a489) | (~c2_1(a489)) | (~c3_1(a489)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | c0_1(a489) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a489)) | (~c3_1(a489))))),
% 1.28/1.09 inference(monotonicity,[status(thm)],[973])).
% 1.28/1.09 tff(975,plain,
% 1.28/1.09 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a489) | (~c2_1(a489)) | (~c3_1(a489)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a489) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a489)) | (~c3_1(a489)))),
% 1.28/1.09 inference(transitivity,[status(thm)],[974, 972])).
% 1.28/1.09 tff(976,plain,
% 1.28/1.09 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a489) | (~c2_1(a489)) | (~c3_1(a489)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))),
% 1.28/1.09 inference(quant_inst,[status(thm)],[])).
% 1.28/1.09 tff(977,plain,
% 1.28/1.09 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a489) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a489)) | (~c3_1(a489))),
% 1.28/1.09 inference(modus_ponens,[status(thm)],[976, 975])).
% 1.28/1.09 tff(978,plain,
% 1.28/1.09 ($false),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[977, 219, 53, 971, 960, 887, 949, 875, 874, 64])).
% 1.28/1.09 tff(979,plain,(c3_1(a445) | hskp14 | hskp10 | c0_1(a445) | c1_1(a445)), inference(lemma,lemma(discharge,[]))).
% 1.28/1.09 tff(980,plain,
% 1.28/1.09 (c3_1(a445)),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[979, 52, 54, 40, 53])).
% 1.28/1.09 tff(981,plain,
% 1.28/1.09 (~hskp9),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[583, 980])).
% 1.28/1.09 tff(982,plain,
% 1.28/1.09 (hskp8),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[591, 981, 52, 980])).
% 1.28/1.09 tff(983,plain,
% 1.28/1.09 (~c3_1(a444)),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[277, 982])).
% 1.28/1.09 tff(984,plain,
% 1.28/1.09 (~c0_1(a444)),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[283, 982])).
% 1.28/1.09 tff(985,plain,
% 1.28/1.09 (c2_1(a444)),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[294, 982])).
% 1.28/1.09 tff(986,plain,
% 1.28/1.09 (~c1_1(a444)),
% 1.28/1.09 inference(unit_resolution,[status(thm)],[767, 219, 981, 985, 984, 983, 30])).
% 1.28/1.09 tff(987,plain,
% 1.28/1.09 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | c0_1(a445) | (~c3_1(a445)) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a445)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a445) | (~c3_1(a445)) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a445)))),
% 1.28/1.09 inference(rewrite,[status(thm)],[])).
% 1.28/1.09 tff(988,plain,
% 1.28/1.09 ((hskp14 | (~ndr1_0) | c0_1(a445) | (~c2_1(a445)) | (~c3_1(a445)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444))) <=> (hskp14 | c0_1(a445) | (~c3_1(a445)) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a445)))),
% 1.28/1.09 inference(rewrite,[status(thm)],[])).
% 1.28/1.09 tff(989,plain,
% 1.28/1.09 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a445) | (~c2_1(a445)) | (~c3_1(a445)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | c0_1(a445) | (~c3_1(a445)) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a445))))),
% 1.28/1.09 inference(monotonicity,[status(thm)],[988])).
% 1.28/1.09 tff(990,plain,
% 1.28/1.09 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a445) | (~c2_1(a445)) | (~c3_1(a445)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a445) | (~c3_1(a445)) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a445)))),
% 1.28/1.10 inference(transitivity,[status(thm)],[989, 987])).
% 1.28/1.10 tff(991,plain,
% 1.28/1.10 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a445) | (~c2_1(a445)) | (~c3_1(a445)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))),
% 1.28/1.10 inference(quant_inst,[status(thm)],[])).
% 1.28/1.10 tff(992,plain,
% 1.28/1.10 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a445) | (~c3_1(a445)) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a445))),
% 1.28/1.10 inference(modus_ponens,[status(thm)],[991, 990])).
% 1.28/1.10 tff(993,plain,
% 1.28/1.10 (~c2_1(a445)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[992, 219, 53, 985, 40, 980, 984, 983, 64])).
% 1.28/1.10 tff(994,plain,
% 1.28/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a445) | c1_1(a445) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c2_1(a445))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a445) | c1_1(a445) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c2_1(a445))),
% 1.28/1.10 inference(rewrite,[status(thm)],[])).
% 1.28/1.10 tff(995,plain,
% 1.28/1.10 (((~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c0_1(a444) | c3_1(a444) | c2_1(a445) | c1_1(a445) | c0_1(a445)) <=> (c0_1(a445) | c1_1(a445) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c2_1(a445))),
% 1.28/1.10 inference(rewrite,[status(thm)],[])).
% 1.28/1.10 tff(996,plain,
% 1.28/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c0_1(a444) | c3_1(a444) | c2_1(a445) | c1_1(a445) | c0_1(a445))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a445) | c1_1(a445) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c2_1(a445)))),
% 1.28/1.10 inference(monotonicity,[status(thm)],[995])).
% 1.28/1.10 tff(997,plain,
% 1.28/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c0_1(a444) | c3_1(a444) | c2_1(a445) | c1_1(a445) | c0_1(a445))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a445) | c1_1(a445) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c2_1(a445))),
% 1.28/1.10 inference(transitivity,[status(thm)],[996, 994])).
% 1.28/1.10 tff(998,plain,
% 1.28/1.10 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c0_1(a444) | c3_1(a444) | c2_1(a445) | c1_1(a445) | c0_1(a445))),
% 1.28/1.10 inference(quant_inst,[status(thm)],[])).
% 1.28/1.10 tff(999,plain,
% 1.28/1.10 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a445) | c1_1(a445) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c2_1(a445)),
% 1.28/1.10 inference(modus_ponens,[status(thm)],[998, 997])).
% 1.28/1.10 tff(1000,plain,
% 1.28/1.10 (~c3_1(a456)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[999, 219, 823, 812, 40, 52, 984, 983, 74, 993, 986])).
% 1.28/1.10 tff(1001,plain,
% 1.28/1.10 (hskp12),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[837, 1000])).
% 1.28/1.10 tff(1002,plain,
% 1.28/1.10 (~c0_1(a450)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[409, 1001])).
% 1.28/1.10 tff(1003,plain,
% 1.28/1.10 (c3_1(a450)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[443, 1001])).
% 1.28/1.10 tff(1004,plain,
% 1.28/1.10 (c1_1(a450)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[454, 1001])).
% 1.28/1.10 tff(1005,plain,
% 1.28/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a450) | c0_1(a444) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c1_1(a444) | (~c2_1(a444)) | (~c1_1(a450)) | (~c3_1(a450)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a450) | c0_1(a444) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c1_1(a444) | (~c2_1(a444)) | (~c1_1(a450)) | (~c3_1(a450)))),
% 1.28/1.10 inference(rewrite,[status(thm)],[])).
% 1.28/1.10 tff(1006,plain,
% 1.28/1.10 (((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a444) | c0_1(a444) | (~c2_1(a444))) <=> (c0_1(a450) | c0_1(a444) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c1_1(a444) | (~c2_1(a444)) | (~c1_1(a450)) | (~c3_1(a450)))),
% 1.28/1.10 inference(rewrite,[status(thm)],[])).
% 1.28/1.10 tff(1007,plain,
% 1.28/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a444) | c0_1(a444) | (~c2_1(a444)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a450) | c0_1(a444) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c1_1(a444) | (~c2_1(a444)) | (~c1_1(a450)) | (~c3_1(a450))))),
% 1.28/1.10 inference(monotonicity,[status(thm)],[1006])).
% 1.28/1.10 tff(1008,plain,
% 1.28/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a444) | c0_1(a444) | (~c2_1(a444)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a450) | c0_1(a444) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c1_1(a444) | (~c2_1(a444)) | (~c1_1(a450)) | (~c3_1(a450)))),
% 1.28/1.10 inference(transitivity,[status(thm)],[1007, 1005])).
% 1.28/1.10 tff(1009,plain,
% 1.28/1.10 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a444) | c0_1(a444) | (~c2_1(a444)))),
% 1.28/1.10 inference(quant_inst,[status(thm)],[])).
% 1.28/1.10 tff(1010,plain,
% 1.28/1.10 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a450) | c0_1(a444) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c1_1(a444) | (~c2_1(a444)) | (~c1_1(a450)) | (~c3_1(a450))),
% 1.28/1.10 inference(modus_ponens,[status(thm)],[1009, 1008])).
% 1.28/1.10 tff(1011,plain,
% 1.28/1.10 ($false),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[1010, 219, 852, 812, 1004, 1003, 985, 1002, 984, 158, 1000, 986])).
% 1.28/1.10 tff(1012,plain,(c1_1(a445) | hskp14 | c0_1(a445) | hskp10), inference(lemma,lemma(discharge,[]))).
% 1.28/1.10 tff(1013,plain,
% 1.28/1.10 (c1_1(a445)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[1012, 40, 53, 54])).
% 1.28/1.10 tff(1014,plain,
% 1.28/1.10 (c3_1(a445)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[740, 1013, 53, 40, 54])).
% 1.28/1.10 tff(1015,plain,
% 1.28/1.10 (hskp8),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[756, 1013, 40, 1014])).
% 1.28/1.10 tff(1016,plain,
% 1.28/1.10 (~c3_1(a444)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[277, 1015])).
% 1.28/1.10 tff(1017,plain,
% 1.28/1.10 (~c0_1(a444)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[283, 1015])).
% 1.28/1.10 tff(1018,plain,
% 1.28/1.10 (c2_1(a444)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[294, 1015])).
% 1.28/1.10 tff(1019,plain,
% 1.28/1.10 (~hskp9),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[621, 1013])).
% 1.28/1.10 tff(1020,plain,
% 1.28/1.10 (~c1_1(a444)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[767, 219, 1019, 1018, 1017, 1016, 30])).
% 1.28/1.10 tff(1021,plain,
% 1.28/1.10 (~c2_1(a445)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[992, 219, 53, 1018, 40, 1014, 1017, 1016, 64])).
% 1.28/1.10 tff(1022,plain,
% 1.28/1.10 (hskp15),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[698, 1021, 1019, 1013])).
% 1.28/1.10 tff(1023,plain,
% 1.28/1.10 (~c0_1(a454)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[710, 1022])).
% 1.28/1.10 tff(1024,plain,
% 1.28/1.10 (c3_1(a454)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[721, 1022])).
% 1.28/1.10 tff(1025,plain,
% 1.28/1.10 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | c0_1(a454) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c3_1(a454)) | (~c2_1(a454)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a454) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c3_1(a454)) | (~c2_1(a454)))),
% 1.28/1.10 inference(rewrite,[status(thm)],[])).
% 1.28/1.10 tff(1026,plain,
% 1.28/1.10 ((hskp14 | (~ndr1_0) | c0_1(a454) | (~c2_1(a454)) | (~c3_1(a454)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444))) <=> (hskp14 | c0_1(a454) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c3_1(a454)) | (~c2_1(a454)))),
% 1.28/1.10 inference(rewrite,[status(thm)],[])).
% 1.28/1.10 tff(1027,plain,
% 1.28/1.10 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a454) | (~c2_1(a454)) | (~c3_1(a454)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | c0_1(a454) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c3_1(a454)) | (~c2_1(a454))))),
% 1.28/1.10 inference(monotonicity,[status(thm)],[1026])).
% 1.28/1.10 tff(1028,plain,
% 1.28/1.10 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a454) | (~c2_1(a454)) | (~c3_1(a454)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a454) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c3_1(a454)) | (~c2_1(a454)))),
% 1.28/1.10 inference(transitivity,[status(thm)],[1027, 1025])).
% 1.28/1.10 tff(1029,plain,
% 1.28/1.10 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a454) | (~c2_1(a454)) | (~c3_1(a454)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))),
% 1.28/1.10 inference(quant_inst,[status(thm)],[])).
% 1.28/1.10 tff(1030,plain,
% 1.28/1.10 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a454) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c3_1(a454)) | (~c2_1(a454))),
% 1.28/1.10 inference(modus_ponens,[status(thm)],[1029, 1028])).
% 1.28/1.10 tff(1031,plain,
% 1.28/1.10 (~c2_1(a454)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[1030, 219, 53, 1024, 1018, 1023, 1017, 1016, 64])).
% 1.28/1.10 tff(1032,plain,
% 1.28/1.10 (~c1_1(a454)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[704, 1022])).
% 1.28/1.10 tff(1033,plain,
% 1.28/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a454) | c1_1(a454) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c2_1(a454))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a454) | c1_1(a454) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c2_1(a454))),
% 1.28/1.10 inference(rewrite,[status(thm)],[])).
% 1.28/1.10 tff(1034,plain,
% 1.28/1.10 (((~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c0_1(a444) | c3_1(a444) | c2_1(a454) | c1_1(a454) | c0_1(a454)) <=> (c0_1(a454) | c1_1(a454) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c2_1(a454))),
% 1.28/1.10 inference(rewrite,[status(thm)],[])).
% 1.28/1.10 tff(1035,plain,
% 1.28/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c0_1(a444) | c3_1(a444) | c2_1(a454) | c1_1(a454) | c0_1(a454))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a454) | c1_1(a454) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c2_1(a454)))),
% 1.28/1.10 inference(monotonicity,[status(thm)],[1034])).
% 1.28/1.10 tff(1036,plain,
% 1.28/1.10 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c0_1(a444) | c3_1(a444) | c2_1(a454) | c1_1(a454) | c0_1(a454))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a454) | c1_1(a454) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c2_1(a454))),
% 1.28/1.10 inference(transitivity,[status(thm)],[1035, 1033])).
% 1.28/1.10 tff(1037,plain,
% 1.28/1.10 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c0_1(a444) | c3_1(a444) | c2_1(a454) | c1_1(a454) | c0_1(a454))),
% 1.28/1.10 inference(quant_inst,[status(thm)],[])).
% 1.28/1.10 tff(1038,plain,
% 1.28/1.10 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a454) | c1_1(a454) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | c1_1(a444) | c2_1(a454)),
% 1.28/1.10 inference(modus_ponens,[status(thm)],[1037, 1036])).
% 1.28/1.10 tff(1039,plain,
% 1.28/1.10 (~c3_1(a456)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[1038, 219, 823, 812, 1023, 1032, 1017, 1016, 74, 1020, 1031])).
% 1.28/1.10 tff(1040,plain,
% 1.28/1.10 (^[V: $i, U: $i] : refl((hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V))) <=> (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V))))),
% 1.28/1.10 inference(bind,[status(th)],[])).
% 1.28/1.10 tff(1041,plain,
% 1.28/1.10 (![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.28/1.10 inference(quant_intro,[status(thm)],[1040])).
% 1.28/1.10 tff(1042,plain,
% 1.28/1.10 (![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.28/1.10 inference(rewrite,[status(thm)],[])).
% 1.28/1.10 tff(1043,plain,
% 1.28/1.10 (^[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))) | c1_1(U)) <=> (((~ndr1_0) | (~c0_1(U)) | (~c1_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c1_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c1_1(V)))), (((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c1_1(V))))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c1_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c1_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V))))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp12) <=> (((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V))) | hskp12))), rewrite((((~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V))) | hskp12) <=> (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp12) <=> (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))))),
% 1.28/1.10 inference(bind,[status(th)],[])).
% 1.28/1.10 tff(1044,plain,
% 1.28/1.10 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp12) <=> ![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.28/1.10 inference(quant_intro,[status(thm)],[1043])).
% 1.28/1.10 tff(1045,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c3_1(U)) | c0_1(V)) | c2_1(V)) | hskp12)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause165')).
% 1.28/1.10 tff(1046,plain,
% 1.28/1.10 (![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.28/1.10 inference(modus_ponens,[status(thm)],[1045, 1044])).
% 1.28/1.10 tff(1047,plain,
% 1.28/1.10 (![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.28/1.10 inference(modus_ponens,[status(thm)],[1046, 1042])).
% 1.28/1.10 tff(1048,plain,(
% 1.28/1.10 ![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.28/1.10 inference(skolemize,[status(sab)],[1047])).
% 1.28/1.10 tff(1049,plain,
% 1.28/1.10 (![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.28/1.10 inference(modus_ponens,[status(thm)],[1048, 1041])).
% 1.28/1.10 tff(1050,plain,
% 1.28/1.10 (hskp2),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[646, 1021, 1013])).
% 1.28/1.10 tff(1051,plain,
% 1.28/1.10 (~c3_1(a434)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[652, 1050])).
% 1.28/1.10 tff(1052,plain,
% 1.28/1.10 (~c1_1(a434)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[658, 1050])).
% 1.28/1.10 tff(1053,plain,
% 1.28/1.10 (c0_1(a434)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[669, 1050])).
% 1.28/1.10 tff(1054,plain,
% 1.28/1.10 (((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp12 | c0_1(a445) | (~c1_1(a445)) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | c2_1(a445))) <=> ((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | hskp12 | c0_1(a445) | (~c1_1(a445)) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | c2_1(a445))),
% 1.28/1.10 inference(rewrite,[status(thm)],[])).
% 1.28/1.10 tff(1055,plain,
% 1.28/1.10 ((hskp12 | (~ndr1_0) | c3_1(a434) | c1_1(a434) | (~c0_1(a434)) | c2_1(a445) | c0_1(a445) | (~c1_1(a445))) <=> (hskp12 | c0_1(a445) | (~c1_1(a445)) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | c2_1(a445))),
% 1.28/1.10 inference(rewrite,[status(thm)],[])).
% 1.28/1.10 tff(1056,plain,
% 1.28/1.10 (((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp12 | (~ndr1_0) | c3_1(a434) | c1_1(a434) | (~c0_1(a434)) | c2_1(a445) | c0_1(a445) | (~c1_1(a445)))) <=> ((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp12 | c0_1(a445) | (~c1_1(a445)) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | c2_1(a445)))),
% 1.28/1.10 inference(monotonicity,[status(thm)],[1055])).
% 1.28/1.10 tff(1057,plain,
% 1.28/1.10 (((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp12 | (~ndr1_0) | c3_1(a434) | c1_1(a434) | (~c0_1(a434)) | c2_1(a445) | c0_1(a445) | (~c1_1(a445)))) <=> ((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | hskp12 | c0_1(a445) | (~c1_1(a445)) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | c2_1(a445))),
% 1.28/1.10 inference(transitivity,[status(thm)],[1056, 1054])).
% 1.28/1.10 tff(1058,plain,
% 1.28/1.10 ((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp12 | (~ndr1_0) | c3_1(a434) | c1_1(a434) | (~c0_1(a434)) | c2_1(a445) | c0_1(a445) | (~c1_1(a445)))),
% 1.28/1.10 inference(quant_inst,[status(thm)],[])).
% 1.28/1.10 tff(1059,plain,
% 1.28/1.10 ((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | hskp12 | c0_1(a445) | (~c1_1(a445)) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | c2_1(a445)),
% 1.28/1.10 inference(modus_ponens,[status(thm)],[1058, 1057])).
% 1.28/1.10 tff(1060,plain,
% 1.28/1.10 (hskp12),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[1059, 219, 1053, 40, 1013, 1052, 1051, 1049, 1021])).
% 1.28/1.10 tff(1061,plain,
% 1.28/1.10 (~c0_1(a450)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[409, 1060])).
% 1.28/1.10 tff(1062,plain,
% 1.28/1.10 (c3_1(a450)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[443, 1060])).
% 1.28/1.10 tff(1063,plain,
% 1.28/1.10 (c1_1(a450)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[454, 1060])).
% 1.28/1.10 tff(1064,plain,
% 1.28/1.10 ($false),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[1010, 219, 852, 812, 1063, 1062, 1018, 1061, 1017, 158, 1039, 1020])).
% 1.28/1.10 tff(1065,plain,(c0_1(a445) | hskp14 | hskp10), inference(lemma,lemma(discharge,[]))).
% 1.28/1.10 tff(1066,plain,
% 1.28/1.10 (c0_1(a445)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[1065, 54, 53])).
% 1.28/1.10 tff(1067,plain,
% 1.28/1.10 (~hskp9),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[783, 1066])).
% 1.28/1.10 tff(1068,assumption,(hskp8), introduced(assumption)).
% 1.28/1.10 tff(1069,plain,
% 1.28/1.10 (~c3_1(a444)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[277, 1068])).
% 1.28/1.10 tff(1070,plain,
% 1.28/1.10 (~c0_1(a444)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[283, 1068])).
% 1.28/1.10 tff(1071,assumption,(c0_1(a456)), introduced(assumption)).
% 1.28/1.10 tff(1072,assumption,(c1_1(a456)), introduced(assumption)).
% 1.28/1.10 tff(1073,plain,
% 1.28/1.10 (c2_1(a444)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[294, 1068])).
% 1.28/1.10 tff(1074,assumption,(c2_1(a456)), introduced(assumption)).
% 1.28/1.10 tff(1075,plain,
% 1.28/1.10 (~c1_1(a444)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[767, 219, 31, 1073, 1070, 1069, 30])).
% 1.28/1.10 tff(1076,assumption,(~c1_1(a444)), introduced(assumption)).
% 1.28/1.10 tff(1077,assumption,(~c0_1(a444)), introduced(assumption)).
% 1.28/1.10 tff(1078,plain,
% 1.28/1.10 (hskp12 | c3_1(a456)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[836, 219, 53, 1071, 1074, 168])).
% 1.28/1.10 tff(1079,plain,
% 1.28/1.10 (hskp12),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[1078, 876])).
% 1.28/1.10 tff(1080,plain,
% 1.28/1.10 (~c0_1(a450)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[409, 1079])).
% 1.28/1.10 tff(1081,assumption,(c2_1(a444)), introduced(assumption)).
% 1.28/1.10 tff(1082,plain,
% 1.28/1.10 (c3_1(a450)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[443, 1079])).
% 1.28/1.10 tff(1083,plain,
% 1.28/1.10 (c1_1(a450)),
% 1.28/1.10 inference(unit_resolution,[status(thm)],[454, 1079])).
% 1.28/1.10 tff(1084,plain,
% 1.28/1.10 ($false),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1010, 219, 1072, 1074, 1083, 1082, 1081, 1080, 1077, 158, 876, 1076])).
% 1.28/1.11 tff(1085,plain,(c3_1(a456) | (~c1_1(a456)) | (~c2_1(a456)) | (~c2_1(a444)) | c0_1(a444) | c1_1(a444) | hskp14 | (~c0_1(a456))), inference(lemma,lemma(discharge,[]))).
% 1.28/1.11 tff(1086,plain,
% 1.28/1.11 (c3_1(a456)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1085, 1075, 1074, 1073, 1070, 1072, 53, 1071])).
% 1.28/1.11 tff(1087,plain,
% 1.28/1.11 (hskp16 | (~c3_1(a456))),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[931, 219, 1072, 1074, 1073, 1070, 1069, 925])).
% 1.28/1.11 tff(1088,plain,
% 1.28/1.11 (hskp16),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1087, 1086])).
% 1.28/1.11 tff(1089,plain,
% 1.28/1.11 (~c2_1(a457)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[339, 1088])).
% 1.28/1.11 tff(1090,plain,
% 1.28/1.11 (c3_1(a457)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[350, 1088])).
% 1.28/1.11 tff(1091,plain,
% 1.28/1.11 (c1_1(a457)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[361, 1088])).
% 1.28/1.11 tff(1092,plain,
% 1.28/1.11 (hskp25),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[942, 219, 1071, 1072, 1091, 1090, 1089, 915, 1086])).
% 1.28/1.11 tff(1093,plain,
% 1.28/1.11 (~c0_1(a489)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[948, 1092])).
% 1.28/1.11 tff(1094,plain,
% 1.28/1.11 (c3_1(a489)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[959, 1092])).
% 1.28/1.11 tff(1095,plain,
% 1.28/1.11 (c2_1(a489)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[970, 1092])).
% 1.28/1.11 tff(1096,plain,
% 1.28/1.11 ($false),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[977, 219, 53, 1095, 1094, 1073, 1093, 1070, 1069, 64])).
% 1.28/1.11 tff(1097,plain,((~hskp8) | hskp14 | (~c0_1(a456)) | (~c1_1(a456)) | (~c2_1(a456)) | hskp9), inference(lemma,lemma(discharge,[]))).
% 1.28/1.11 tff(1098,plain,
% 1.28/1.11 (~hskp8),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1097, 823, 53, 852, 812, 1067])).
% 1.28/1.11 tff(1099,plain,
% 1.28/1.11 (hskp1),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[85, 1098, 54])).
% 1.28/1.11 tff(1100,plain,
% 1.28/1.11 (~c1_1(a433)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[97, 1099])).
% 1.28/1.11 tff(1101,plain,
% 1.28/1.11 (~c0_1(a433)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[103, 1099])).
% 1.28/1.11 tff(1102,plain,
% 1.28/1.11 (((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp9 | hskp8 | c0_1(a433) | c1_1(a433) | (~ndr1_0) | (~c3_1(a433)))) <=> ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | hskp9 | hskp8 | c0_1(a433) | c1_1(a433) | (~ndr1_0) | (~c3_1(a433)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1103,plain,
% 1.28/1.11 ((hskp9 | hskp8 | (~ndr1_0) | c0_1(a433) | c1_1(a433) | (~c3_1(a433))) <=> (hskp9 | hskp8 | c0_1(a433) | c1_1(a433) | (~ndr1_0) | (~c3_1(a433)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1104,plain,
% 1.28/1.11 (((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp9 | hskp8 | (~ndr1_0) | c0_1(a433) | c1_1(a433) | (~c3_1(a433)))) <=> ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp9 | hskp8 | c0_1(a433) | c1_1(a433) | (~ndr1_0) | (~c3_1(a433))))),
% 1.28/1.11 inference(monotonicity,[status(thm)],[1103])).
% 1.28/1.11 tff(1105,plain,
% 1.28/1.11 (((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp9 | hskp8 | (~ndr1_0) | c0_1(a433) | c1_1(a433) | (~c3_1(a433)))) <=> ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | hskp9 | hskp8 | c0_1(a433) | c1_1(a433) | (~ndr1_0) | (~c3_1(a433)))),
% 1.28/1.11 inference(transitivity,[status(thm)],[1104, 1102])).
% 1.28/1.11 tff(1106,plain,
% 1.28/1.11 ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | (hskp9 | hskp8 | (~ndr1_0) | c0_1(a433) | c1_1(a433) | (~c3_1(a433)))),
% 1.28/1.11 inference(quant_inst,[status(thm)],[])).
% 1.28/1.11 tff(1107,plain,
% 1.28/1.11 ((~![U: $i] : (hskp9 | hskp8 | (~ndr1_0) | c0_1(U) | c1_1(U) | (~c3_1(U)))) | hskp9 | hskp8 | c0_1(a433) | c1_1(a433) | (~ndr1_0) | (~c3_1(a433))),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1106, 1105])).
% 1.28/1.11 tff(1108,plain,
% 1.28/1.11 (~c3_1(a433)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1107, 219, 1067, 1098, 1101, 1100, 50])).
% 1.28/1.11 tff(1109,plain,
% 1.28/1.11 (~c2_1(a433)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[91, 1099])).
% 1.28/1.11 tff(1110,plain,
% 1.28/1.11 (((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | (hskp29 | hskp10 | c0_1(a433) | c2_1(a433) | (~ndr1_0) | c3_1(a433))) <=> ((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | hskp29 | hskp10 | c0_1(a433) | c2_1(a433) | (~ndr1_0) | c3_1(a433))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1111,plain,
% 1.28/1.11 ((hskp29 | hskp10 | (~ndr1_0) | c3_1(a433) | c2_1(a433) | c0_1(a433)) <=> (hskp29 | hskp10 | c0_1(a433) | c2_1(a433) | (~ndr1_0) | c3_1(a433))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1112,plain,
% 1.28/1.11 (((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | (hskp29 | hskp10 | (~ndr1_0) | c3_1(a433) | c2_1(a433) | c0_1(a433))) <=> ((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | (hskp29 | hskp10 | c0_1(a433) | c2_1(a433) | (~ndr1_0) | c3_1(a433)))),
% 1.28/1.11 inference(monotonicity,[status(thm)],[1111])).
% 1.28/1.11 tff(1113,plain,
% 1.28/1.11 (((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | (hskp29 | hskp10 | (~ndr1_0) | c3_1(a433) | c2_1(a433) | c0_1(a433))) <=> ((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | hskp29 | hskp10 | c0_1(a433) | c2_1(a433) | (~ndr1_0) | c3_1(a433))),
% 1.28/1.11 inference(transitivity,[status(thm)],[1112, 1110])).
% 1.28/1.11 tff(1114,plain,
% 1.28/1.11 ((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | (hskp29 | hskp10 | (~ndr1_0) | c3_1(a433) | c2_1(a433) | c0_1(a433))),
% 1.28/1.11 inference(quant_inst,[status(thm)],[])).
% 1.28/1.11 tff(1115,plain,
% 1.28/1.11 ((~![U: $i] : (hskp29 | hskp10 | (~ndr1_0) | c3_1(U) | c2_1(U) | c0_1(U))) | hskp29 | hskp10 | c0_1(a433) | c2_1(a433) | (~ndr1_0) | c3_1(a433)),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1114, 1113])).
% 1.28/1.11 tff(1116,plain,
% 1.28/1.11 (hskp29),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1115, 219, 54, 1101, 1109, 494, 1108])).
% 1.28/1.11 tff(1117,plain,
% 1.28/1.11 (c3_1(a447)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[512, 1116])).
% 1.28/1.11 tff(1118,plain,
% 1.28/1.11 (c2_1(a447)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[523, 1116])).
% 1.28/1.11 tff(1119,plain,
% 1.28/1.11 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a433) | c1_1(a433) | c2_1(a433) | (~ndr1_0) | c3_1(a433) | (~c3_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a433) | c1_1(a433) | c2_1(a433) | (~ndr1_0) | c3_1(a433) | (~c3_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1120,plain,
% 1.28/1.11 (((~ndr1_0) | (~c2_1(a447)) | (~c3_1(a447)) | (~c0_1(a447)) | c1_1(a433) | c0_1(a433) | c3_1(a433) | c2_1(a433) | c1_1(a433) | c0_1(a433)) <=> (c0_1(a433) | c1_1(a433) | c2_1(a433) | (~ndr1_0) | c3_1(a433) | (~c3_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1121,plain,
% 1.28/1.11 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a447)) | (~c3_1(a447)) | (~c0_1(a447)) | c1_1(a433) | c0_1(a433) | c3_1(a433) | c2_1(a433) | c1_1(a433) | c0_1(a433))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a433) | c1_1(a433) | c2_1(a433) | (~ndr1_0) | c3_1(a433) | (~c3_1(a447)) | (~c0_1(a447)) | (~c2_1(a447))))),
% 1.28/1.11 inference(monotonicity,[status(thm)],[1120])).
% 1.28/1.11 tff(1122,plain,
% 1.28/1.11 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a447)) | (~c3_1(a447)) | (~c0_1(a447)) | c1_1(a433) | c0_1(a433) | c3_1(a433) | c2_1(a433) | c1_1(a433) | c0_1(a433))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a433) | c1_1(a433) | c2_1(a433) | (~ndr1_0) | c3_1(a433) | (~c3_1(a447)) | (~c0_1(a447)) | (~c2_1(a447)))),
% 1.28/1.11 inference(transitivity,[status(thm)],[1121, 1119])).
% 1.28/1.11 tff(1123,plain,
% 1.28/1.11 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a447)) | (~c3_1(a447)) | (~c0_1(a447)) | c1_1(a433) | c0_1(a433) | c3_1(a433) | c2_1(a433) | c1_1(a433) | c0_1(a433))),
% 1.28/1.11 inference(quant_inst,[status(thm)],[])).
% 1.28/1.11 tff(1124,plain,
% 1.28/1.11 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a433) | c1_1(a433) | c2_1(a433) | (~ndr1_0) | c3_1(a433) | (~c3_1(a447)) | (~c0_1(a447)) | (~c2_1(a447))),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1123, 1122])).
% 1.28/1.11 tff(1125,plain,
% 1.28/1.11 (~c0_1(a447)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1124, 219, 1118, 1117, 1101, 1100, 1109, 74, 1108])).
% 1.28/1.11 tff(1126,plain,
% 1.28/1.11 (c1_1(a447)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[558, 1116])).
% 1.28/1.11 tff(1127,plain,
% 1.28/1.11 ($false),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[870, 219, 1098, 1126, 1118, 1117, 264, 1125])).
% 1.28/1.11 tff(1128,plain,(hskp10 | hskp14), inference(lemma,lemma(discharge,[]))).
% 1.28/1.11 tff(1129,plain,
% 1.28/1.11 (hskp10),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1128, 53])).
% 1.28/1.11 tff(1130,plain,
% 1.28/1.11 (((~hskp10) | (~c2_1(a448))) <=> ((~hskp10) | (~c2_1(a448)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1131,plain,
% 1.28/1.11 (((~c2_1(a448)) | (~hskp10)) <=> ((~hskp10) | (~c2_1(a448)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1132,axiom,((~c2_1(a448)) | (~hskp10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause110')).
% 1.28/1.11 tff(1133,plain,
% 1.28/1.11 ((~hskp10) | (~c2_1(a448))),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1132, 1131])).
% 1.28/1.11 tff(1134,plain,
% 1.28/1.11 ((~hskp10) | (~c2_1(a448))),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1133, 1130])).
% 1.28/1.11 tff(1135,plain,
% 1.28/1.11 (~c2_1(a448)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1134, 1129])).
% 1.28/1.11 tff(1136,plain,
% 1.28/1.11 (((~hskp10) | (~c0_1(a448))) <=> ((~hskp10) | (~c0_1(a448)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1137,plain,
% 1.28/1.11 (((~c0_1(a448)) | (~hskp10)) <=> ((~hskp10) | (~c0_1(a448)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1138,axiom,((~c0_1(a448)) | (~hskp10)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause109')).
% 1.28/1.11 tff(1139,plain,
% 1.28/1.11 ((~hskp10) | (~c0_1(a448))),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1138, 1137])).
% 1.28/1.11 tff(1140,plain,
% 1.28/1.11 ((~hskp10) | (~c0_1(a448))),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1139, 1136])).
% 1.28/1.11 tff(1141,plain,
% 1.28/1.11 (~c0_1(a448)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1140, 1129])).
% 1.28/1.11 tff(1142,plain,
% 1.28/1.11 (((~hskp10) | c1_1(a448)) <=> ((~hskp10) | c1_1(a448))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1143,axiom,((~hskp10) | c1_1(a448)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause72')).
% 1.28/1.11 tff(1144,plain,
% 1.28/1.11 ((~hskp10) | c1_1(a448)),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1143, 1142])).
% 1.28/1.11 tff(1145,plain,
% 1.28/1.11 ((~hskp10) | c1_1(a448)),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1144, 1142])).
% 1.28/1.11 tff(1146,plain,
% 1.28/1.11 ((~hskp10) | c1_1(a448)),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1145, 1142])).
% 1.28/1.11 tff(1147,plain,
% 1.28/1.11 ((~hskp10) | c1_1(a448)),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1146, 1142])).
% 1.28/1.11 tff(1148,plain,
% 1.28/1.11 ((~hskp10) | c1_1(a448)),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1147, 1142])).
% 1.28/1.11 tff(1149,plain,
% 1.28/1.11 ((~hskp10) | c1_1(a448)),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1148, 1142])).
% 1.28/1.11 tff(1150,plain,
% 1.28/1.11 ((~hskp10) | c1_1(a448)),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1149, 1142])).
% 1.28/1.11 tff(1151,plain,
% 1.28/1.11 ((~hskp10) | c1_1(a448)),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1150, 1142])).
% 1.28/1.11 tff(1152,plain,
% 1.28/1.11 (c1_1(a448)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1151, 1129])).
% 1.28/1.11 tff(1153,assumption,(~c3_1(a444)), introduced(assumption)).
% 1.28/1.11 tff(1154,plain,
% 1.28/1.11 (((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp14 | hskp2 | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448)))) <=> ((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp14 | hskp2 | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1155,plain,
% 1.28/1.11 ((hskp14 | hskp2 | (~ndr1_0) | c2_1(a448) | c0_1(a448) | (~c1_1(a448))) <=> (hskp14 | hskp2 | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1156,plain,
% 1.28/1.11 (((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp14 | hskp2 | (~ndr1_0) | c2_1(a448) | c0_1(a448) | (~c1_1(a448)))) <=> ((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp14 | hskp2 | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448))))),
% 1.28/1.11 inference(monotonicity,[status(thm)],[1155])).
% 1.28/1.11 tff(1157,plain,
% 1.28/1.11 (((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp14 | hskp2 | (~ndr1_0) | c2_1(a448) | c0_1(a448) | (~c1_1(a448)))) <=> ((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp14 | hskp2 | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448)))),
% 1.28/1.11 inference(transitivity,[status(thm)],[1156, 1154])).
% 1.28/1.11 tff(1158,plain,
% 1.28/1.11 ((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp14 | hskp2 | (~ndr1_0) | c2_1(a448) | c0_1(a448) | (~c1_1(a448)))),
% 1.28/1.11 inference(quant_inst,[status(thm)],[])).
% 1.28/1.11 tff(1159,plain,
% 1.28/1.11 ((~![U: $i] : (hskp14 | hskp2 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp14 | hskp2 | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448))),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1158, 1157])).
% 1.28/1.11 tff(1160,plain,
% 1.28/1.11 (hskp2),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1159, 219, 53, 1152, 1141, 1135, 639])).
% 1.28/1.11 tff(1161,plain,
% 1.28/1.11 (~c3_1(a434)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[652, 1160])).
% 1.28/1.11 tff(1162,plain,
% 1.28/1.11 (~c1_1(a434)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[658, 1160])).
% 1.28/1.11 tff(1163,plain,
% 1.28/1.11 (c0_1(a434)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[669, 1160])).
% 1.28/1.11 tff(1164,plain,
% 1.28/1.11 (((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp12 | c0_1(a448) | c2_1(a448) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c1_1(a448)))) <=> ((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | hskp12 | c0_1(a448) | c2_1(a448) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c1_1(a448)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1165,plain,
% 1.28/1.11 ((hskp12 | (~ndr1_0) | c3_1(a434) | c1_1(a434) | (~c0_1(a434)) | c2_1(a448) | c0_1(a448) | (~c1_1(a448))) <=> (hskp12 | c0_1(a448) | c2_1(a448) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c1_1(a448)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1166,plain,
% 1.28/1.11 (((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp12 | (~ndr1_0) | c3_1(a434) | c1_1(a434) | (~c0_1(a434)) | c2_1(a448) | c0_1(a448) | (~c1_1(a448)))) <=> ((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp12 | c0_1(a448) | c2_1(a448) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c1_1(a448))))),
% 1.28/1.11 inference(monotonicity,[status(thm)],[1165])).
% 1.28/1.11 tff(1167,plain,
% 1.28/1.11 (((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp12 | (~ndr1_0) | c3_1(a434) | c1_1(a434) | (~c0_1(a434)) | c2_1(a448) | c0_1(a448) | (~c1_1(a448)))) <=> ((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | hskp12 | c0_1(a448) | c2_1(a448) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c1_1(a448)))),
% 1.28/1.11 inference(transitivity,[status(thm)],[1166, 1164])).
% 1.28/1.11 tff(1168,plain,
% 1.28/1.11 ((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp12 | (~ndr1_0) | c3_1(a434) | c1_1(a434) | (~c0_1(a434)) | c2_1(a448) | c0_1(a448) | (~c1_1(a448)))),
% 1.28/1.11 inference(quant_inst,[status(thm)],[])).
% 1.28/1.11 tff(1169,plain,
% 1.28/1.11 ((~![V: $i, U: $i] : (hskp12 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | hskp12 | c0_1(a448) | c2_1(a448) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c1_1(a448))),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1168, 1167])).
% 1.28/1.11 tff(1170,plain,
% 1.28/1.11 (hskp12),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1169, 219, 1152, 1163, 1141, 1135, 1162, 1161, 1049])).
% 1.28/1.11 tff(1171,plain,
% 1.28/1.11 (~c0_1(a450)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[409, 1170])).
% 1.28/1.11 tff(1172,plain,
% 1.28/1.11 (c3_1(a450)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[443, 1170])).
% 1.28/1.11 tff(1173,plain,
% 1.28/1.11 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | c0_1(a450) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a450)) | (~c3_1(a450)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a450) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a450)) | (~c3_1(a450)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1174,plain,
% 1.28/1.11 ((hskp14 | (~ndr1_0) | c0_1(a450) | (~c2_1(a450)) | (~c3_1(a450)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444))) <=> (hskp14 | c0_1(a450) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a450)) | (~c3_1(a450)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1175,plain,
% 1.28/1.11 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a450) | (~c2_1(a450)) | (~c3_1(a450)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | c0_1(a450) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a450)) | (~c3_1(a450))))),
% 1.28/1.11 inference(monotonicity,[status(thm)],[1174])).
% 1.28/1.11 tff(1176,plain,
% 1.28/1.11 (((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a450) | (~c2_1(a450)) | (~c3_1(a450)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a450) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a450)) | (~c3_1(a450)))),
% 1.28/1.11 inference(transitivity,[status(thm)],[1175, 1173])).
% 1.28/1.11 tff(1177,plain,
% 1.28/1.11 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp14 | (~ndr1_0) | c0_1(a450) | (~c2_1(a450)) | (~c3_1(a450)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))),
% 1.28/1.11 inference(quant_inst,[status(thm)],[])).
% 1.28/1.11 tff(1178,plain,
% 1.28/1.11 ((~![V: $i, U: $i] : (hskp14 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp14 | c0_1(a450) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c2_1(a450)) | (~c3_1(a450))),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1177, 1176])).
% 1.28/1.11 tff(1179,plain,
% 1.28/1.11 (~c2_1(a450)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1178, 219, 53, 1172, 1081, 1171, 1077, 1153, 64])).
% 1.28/1.11 tff(1180,plain,
% 1.28/1.11 (~c3_1(a486)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[575, 219, 53, 137, 1081, 126, 1077, 1153, 64])).
% 1.28/1.11 tff(1181,plain,
% 1.28/1.11 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W))) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W))))),
% 1.28/1.11 inference(bind,[status(th)],[])).
% 1.28/1.11 tff(1182,plain,
% 1.28/1.11 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 1.28/1.11 inference(quant_intro,[status(thm)],[1181])).
% 1.28/1.11 tff(1183,plain,
% 1.28/1.11 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1184,plain,
% 1.28/1.11 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c1_1(W))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | (~c1_1(W))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | (~c1_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c1_1(W)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c1_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c1_1(W))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c1_1(W))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c1_1(W))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c1_1(W)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c1_1(W))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c2_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c1_1(W))) | c2_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V)) | (~c1_1(W))) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c1_1(W)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c1_1(W))))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c2_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c1_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | (~c1_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c1_1(W)))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c2_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c1_1(W))))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c2_1(V)) | c0_1(W)) | c3_1(W)) <=> (((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | (~c1_1(W))) | c3_1(W)))), rewrite((((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_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) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c2_1(V)) | c0_1(W)) | c3_1(W)) <=> ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))))),
% 1.28/1.11 inference(bind,[status(th)],[])).
% 1.28/1.11 tff(1185,plain,
% 1.28/1.11 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c2_1(V)) | 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) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 1.28/1.11 inference(quant_intro,[status(thm)],[1184])).
% 1.28/1.11 tff(1186,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | (~c1_1(W))) | c3_1(U)) | c2_1(V)) | c0_1(W)) | c3_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause198')).
% 1.28/1.11 tff(1187,plain,
% 1.28/1.11 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1186, 1185])).
% 1.28/1.11 tff(1188,plain,
% 1.28/1.11 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1187, 1183])).
% 1.28/1.11 tff(1189,plain,(
% 1.28/1.11 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 1.28/1.11 inference(skolemize,[status(sab)],[1188])).
% 1.28/1.11 tff(1190,plain,
% 1.28/1.11 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1189, 1182])).
% 1.28/1.11 tff(1191,plain,
% 1.28/1.11 (((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp16 | c0_1(a450) | (~ndr1_0) | c2_1(a450) | (~c3_1(a450)))) <=> ((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp30 | hskp16 | c0_1(a450) | (~ndr1_0) | c2_1(a450) | (~c3_1(a450)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1192,plain,
% 1.28/1.11 ((hskp30 | hskp16 | (~ndr1_0) | c2_1(a450) | c0_1(a450) | (~c3_1(a450))) <=> (hskp30 | hskp16 | c0_1(a450) | (~ndr1_0) | c2_1(a450) | (~c3_1(a450)))),
% 1.28/1.11 inference(rewrite,[status(thm)],[])).
% 1.28/1.11 tff(1193,plain,
% 1.28/1.11 (((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp16 | (~ndr1_0) | c2_1(a450) | c0_1(a450) | (~c3_1(a450)))) <=> ((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp16 | c0_1(a450) | (~ndr1_0) | c2_1(a450) | (~c3_1(a450))))),
% 1.28/1.11 inference(monotonicity,[status(thm)],[1192])).
% 1.28/1.11 tff(1194,plain,
% 1.28/1.11 (((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp16 | (~ndr1_0) | c2_1(a450) | c0_1(a450) | (~c3_1(a450)))) <=> ((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp30 | hskp16 | c0_1(a450) | (~ndr1_0) | c2_1(a450) | (~c3_1(a450)))),
% 1.28/1.11 inference(transitivity,[status(thm)],[1193, 1191])).
% 1.28/1.11 tff(1195,plain,
% 1.28/1.11 ((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | (hskp30 | hskp16 | (~ndr1_0) | c2_1(a450) | c0_1(a450) | (~c3_1(a450)))),
% 1.28/1.11 inference(quant_inst,[status(thm)],[])).
% 1.28/1.11 tff(1196,plain,
% 1.28/1.11 ((~![U: $i] : (hskp30 | hskp16 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c3_1(U)))) | hskp30 | hskp16 | c0_1(a450) | (~ndr1_0) | c2_1(a450) | (~c3_1(a450))),
% 1.28/1.11 inference(modus_ponens,[status(thm)],[1195, 1194])).
% 1.28/1.11 tff(1197,plain,
% 1.28/1.11 (hskp30 | hskp16 | c2_1(a450)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1196, 219, 1172, 1171, 188])).
% 1.28/1.11 tff(1198,plain,
% 1.28/1.11 (hskp16),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[1197, 105, 1179])).
% 1.28/1.11 tff(1199,plain,
% 1.28/1.11 (~c2_1(a457)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[339, 1198])).
% 1.28/1.11 tff(1200,plain,
% 1.28/1.11 (c3_1(a457)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[350, 1198])).
% 1.28/1.11 tff(1201,plain,
% 1.28/1.11 (c1_1(a457)),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[361, 1198])).
% 1.28/1.11 tff(1202,plain,
% 1.28/1.11 (hskp6),
% 1.28/1.11 inference(unit_resolution,[status(thm)],[368, 219, 148, 137, 1201, 1200, 126, 1199, 178])).
% 1.28/1.12 tff(1203,plain,
% 1.28/1.12 (~c3_1(a442)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[374, 1202])).
% 1.28/1.12 tff(1204,plain,
% 1.28/1.12 (c0_1(a442)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[396, 1202])).
% 1.28/1.12 tff(1205,plain,
% 1.28/1.12 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c2_1(a457) | c3_1(a442) | (~ndr1_0) | (~c1_1(a442)) | (~c0_1(a442)) | (~c3_1(a457)) | (~c1_1(a457)) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c2_1(a457) | c3_1(a442) | (~ndr1_0) | (~c1_1(a442)) | (~c0_1(a442)) | (~c3_1(a457)) | (~c1_1(a457)) | c3_1(a486) | (~c1_1(a486)))),
% 1.28/1.12 inference(rewrite,[status(thm)],[])).
% 1.28/1.12 tff(1206,plain,
% 1.28/1.12 (((~ndr1_0) | c3_1(a442) | (~c1_1(a442)) | (~c0_1(a442)) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486))) <=> (c0_1(a486) | c2_1(a457) | c3_1(a442) | (~ndr1_0) | (~c1_1(a442)) | (~c0_1(a442)) | (~c3_1(a457)) | (~c1_1(a457)) | c3_1(a486) | (~c1_1(a486)))),
% 1.28/1.12 inference(rewrite,[status(thm)],[])).
% 1.28/1.12 tff(1207,plain,
% 1.28/1.12 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a442) | (~c1_1(a442)) | (~c0_1(a442)) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c2_1(a457) | c3_1(a442) | (~ndr1_0) | (~c1_1(a442)) | (~c0_1(a442)) | (~c3_1(a457)) | (~c1_1(a457)) | c3_1(a486) | (~c1_1(a486))))),
% 1.28/1.12 inference(monotonicity,[status(thm)],[1206])).
% 1.28/1.12 tff(1208,plain,
% 1.28/1.12 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a442) | (~c1_1(a442)) | (~c0_1(a442)) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c2_1(a457) | c3_1(a442) | (~ndr1_0) | (~c1_1(a442)) | (~c0_1(a442)) | (~c3_1(a457)) | (~c1_1(a457)) | c3_1(a486) | (~c1_1(a486)))),
% 1.28/1.12 inference(transitivity,[status(thm)],[1207, 1205])).
% 1.28/1.12 tff(1209,plain,
% 1.28/1.12 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a442) | (~c1_1(a442)) | (~c0_1(a442)) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))),
% 1.28/1.12 inference(quant_inst,[status(thm)],[])).
% 1.28/1.12 tff(1210,plain,
% 1.28/1.12 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c2_1(a457) | c3_1(a442) | (~ndr1_0) | (~c1_1(a442)) | (~c0_1(a442)) | (~c3_1(a457)) | (~c1_1(a457)) | c3_1(a486) | (~c1_1(a486))),
% 1.28/1.12 inference(modus_ponens,[status(thm)],[1209, 1208])).
% 1.28/1.12 tff(1211,plain,
% 1.28/1.12 (~c1_1(a442)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[1210, 219, 148, 1201, 1200, 1204, 126, 1199, 1203, 1190, 1180])).
% 1.28/1.12 tff(1212,plain,
% 1.28/1.12 (c2_1(a442)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[385, 1202])).
% 1.28/1.12 tff(1213,plain,
% 1.28/1.12 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c3_1(a442) | (~ndr1_0) | c1_1(a442) | (~c2_1(a442)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c3_1(a442) | (~ndr1_0) | c1_1(a442) | (~c2_1(a442)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.28/1.12 inference(rewrite,[status(thm)],[])).
% 1.28/1.12 tff(1214,plain,
% 1.28/1.12 (((~ndr1_0) | c3_1(a442) | c1_1(a442) | (~c2_1(a442)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486))) <=> (c0_1(a486) | c3_1(a442) | (~ndr1_0) | c1_1(a442) | (~c2_1(a442)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.28/1.12 inference(rewrite,[status(thm)],[])).
% 1.28/1.12 tff(1215,plain,
% 1.28/1.12 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a442) | c1_1(a442) | (~c2_1(a442)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c3_1(a442) | (~ndr1_0) | c1_1(a442) | (~c2_1(a442)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486))))),
% 1.28/1.12 inference(monotonicity,[status(thm)],[1214])).
% 1.28/1.12 tff(1216,plain,
% 1.28/1.12 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a442) | c1_1(a442) | (~c2_1(a442)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c3_1(a442) | (~ndr1_0) | c1_1(a442) | (~c2_1(a442)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.28/1.12 inference(transitivity,[status(thm)],[1215, 1213])).
% 1.28/1.12 tff(1217,plain,
% 1.28/1.12 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a442) | c1_1(a442) | (~c2_1(a442)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))),
% 1.28/1.12 inference(quant_inst,[status(thm)],[])).
% 1.28/1.12 tff(1218,plain,
% 1.28/1.12 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c3_1(a442) | (~ndr1_0) | c1_1(a442) | (~c2_1(a442)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486))),
% 1.28/1.12 inference(modus_ponens,[status(thm)],[1217, 1216])).
% 1.28/1.12 tff(1219,plain,
% 1.28/1.12 ($false),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[1218, 219, 148, 137, 1212, 126, 1203, 10, 1180, 1211])).
% 1.28/1.12 tff(1220,plain,(hskp30 | hskp14 | (~c2_1(a444)) | c0_1(a444) | c3_1(a444)), inference(lemma,lemma(discharge,[]))).
% 1.28/1.12 tff(1221,plain,
% 1.28/1.12 (hskp30),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[1220, 1081, 53, 1077, 1153])).
% 1.28/1.12 tff(1222,plain,
% 1.28/1.12 (c1_1(a456)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[851, 1221])).
% 1.28/1.12 tff(1223,plain,
% 1.28/1.12 (c2_1(a456)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[811, 1221])).
% 1.28/1.12 tff(1224,plain,
% 1.28/1.12 (c0_1(a456)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[822, 1221])).
% 1.28/1.12 tff(1225,plain,
% 1.28/1.12 (c1_1(a444)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[1085, 876, 1081, 1077, 1224, 1223, 53, 1222])).
% 1.28/1.12 tff(1226,plain,
% 1.28/1.12 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c2_1(a448) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a444)) | (~c3_1(a448)) | (~c1_1(a448)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c2_1(a448) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a444)) | (~c3_1(a448)) | (~c1_1(a448)))),
% 1.28/1.12 inference(rewrite,[status(thm)],[])).
% 1.28/1.12 tff(1227,plain,
% 1.28/1.12 (((~ndr1_0) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a448) | (~c3_1(a448)) | (~c1_1(a448)) | c0_1(a444) | c3_1(a444) | (~c1_1(a444))) <=> (c2_1(a448) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a444)) | (~c3_1(a448)) | (~c1_1(a448)))),
% 1.28/1.12 inference(rewrite,[status(thm)],[])).
% 1.28/1.12 tff(1228,plain,
% 1.28/1.12 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a448) | (~c3_1(a448)) | (~c1_1(a448)) | c0_1(a444) | c3_1(a444) | (~c1_1(a444)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c2_1(a448) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a444)) | (~c3_1(a448)) | (~c1_1(a448))))),
% 1.28/1.12 inference(monotonicity,[status(thm)],[1227])).
% 1.28/1.12 tff(1229,plain,
% 1.28/1.12 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a448) | (~c3_1(a448)) | (~c1_1(a448)) | c0_1(a444) | c3_1(a444) | (~c1_1(a444)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c2_1(a448) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a444)) | (~c3_1(a448)) | (~c1_1(a448)))),
% 1.28/1.12 inference(transitivity,[status(thm)],[1228, 1226])).
% 1.28/1.12 tff(1230,plain,
% 1.28/1.12 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a448) | (~c3_1(a448)) | (~c1_1(a448)) | c0_1(a444) | c3_1(a444) | (~c1_1(a444)))),
% 1.28/1.12 inference(quant_inst,[status(thm)],[])).
% 1.28/1.12 tff(1231,plain,
% 1.28/1.12 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c2_1(a448) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a444)) | (~c3_1(a448)) | (~c1_1(a448))),
% 1.28/1.12 inference(modus_ponens,[status(thm)],[1230, 1229])).
% 1.28/1.12 tff(1232,plain,
% 1.28/1.12 (~c3_1(a448)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[1231, 219, 1224, 1222, 1152, 1135, 1077, 1153, 1190, 876, 1225])).
% 1.28/1.12 tff(1233,plain,
% 1.28/1.12 (c1_1(a450)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[454, 1170])).
% 1.28/1.12 tff(1234,plain,
% 1.28/1.12 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a448) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c3_1(a448) | (~c1_1(a448)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a448) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c3_1(a448) | (~c1_1(a448)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)))),
% 1.28/1.12 inference(rewrite,[status(thm)],[])).
% 1.28/1.12 tff(1235,plain,
% 1.28/1.12 (((~ndr1_0) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a448) | c3_1(a448) | (~c1_1(a448))) <=> (c0_1(a448) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c3_1(a448) | (~c1_1(a448)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)))),
% 1.28/1.12 inference(rewrite,[status(thm)],[])).
% 1.28/1.12 tff(1236,plain,
% 1.28/1.12 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a448) | c3_1(a448) | (~c1_1(a448)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a448) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c3_1(a448) | (~c1_1(a448)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450))))),
% 1.28/1.12 inference(monotonicity,[status(thm)],[1235])).
% 1.28/1.12 tff(1237,plain,
% 1.28/1.12 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a448) | c3_1(a448) | (~c1_1(a448)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a448) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c3_1(a448) | (~c1_1(a448)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)))),
% 1.28/1.12 inference(transitivity,[status(thm)],[1236, 1234])).
% 1.28/1.12 tff(1238,plain,
% 1.28/1.12 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a448) | c3_1(a448) | (~c1_1(a448)))),
% 1.28/1.12 inference(quant_inst,[status(thm)],[])).
% 1.28/1.12 tff(1239,plain,
% 1.28/1.12 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a448) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c3_1(a448) | (~c1_1(a448)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450))),
% 1.28/1.12 inference(modus_ponens,[status(thm)],[1238, 1237])).
% 1.28/1.12 tff(1240,plain,
% 1.28/1.12 ($false),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[1239, 219, 1224, 1222, 1233, 1172, 1152, 1141, 1190, 876, 1232, 1179])).
% 1.28/1.12 tff(1241,plain,(c3_1(a456) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)) | hskp14), inference(lemma,lemma(discharge,[]))).
% 1.28/1.12 tff(1242,plain,
% 1.28/1.12 (c3_1(a456)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[1241, 1070, 1069, 1073, 53])).
% 1.28/1.12 tff(1243,plain,
% 1.28/1.12 (hskp30),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[1220, 1073, 53, 1070, 1069])).
% 1.28/1.12 tff(1244,plain,
% 1.28/1.12 (c2_1(a456)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[811, 1243])).
% 1.28/1.12 tff(1245,plain,
% 1.28/1.12 (c1_1(a456)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[851, 1243])).
% 1.28/1.12 tff(1246,plain,
% 1.28/1.12 (c0_1(a456)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[822, 1243])).
% 1.28/1.12 tff(1247,plain,
% 1.28/1.12 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)))),
% 1.28/1.12 inference(rewrite,[status(thm)],[])).
% 1.28/1.12 tff(1248,plain,
% 1.28/1.12 (((~ndr1_0) | (~c3_1(a456)) | (~c1_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)) | (~c0_1(a456)) | (~c2_1(a456)) | c1_1(a434) | c3_1(a434) | (~c0_1(a434))) <=> (c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)))),
% 1.28/1.12 inference(rewrite,[status(thm)],[])).
% 1.28/1.12 tff(1249,plain,
% 1.28/1.12 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a456)) | (~c1_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)) | (~c0_1(a456)) | (~c2_1(a456)) | c1_1(a434) | c3_1(a434) | (~c0_1(a434)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | (c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456))))),
% 1.28/1.12 inference(monotonicity,[status(thm)],[1248])).
% 1.28/1.12 tff(1250,plain,
% 1.28/1.12 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a456)) | (~c1_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)) | (~c0_1(a456)) | (~c2_1(a456)) | c1_1(a434) | c3_1(a434) | (~c0_1(a434)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)))),
% 1.28/1.12 inference(transitivity,[status(thm)],[1249, 1247])).
% 1.28/1.12 tff(1251,plain,
% 1.28/1.12 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | ((~ndr1_0) | (~c3_1(a456)) | (~c1_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)) | (~c0_1(a456)) | (~c2_1(a456)) | c1_1(a434) | c3_1(a434) | (~c0_1(a434)))),
% 1.28/1.12 inference(quant_inst,[status(thm)],[])).
% 1.28/1.12 tff(1252,plain,
% 1.28/1.12 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c0_1(V)) | (~c2_1(V)) | c1_1(W) | c3_1(W) | (~c0_1(W)))) | c1_1(a434) | c3_1(a434) | (~ndr1_0) | (~c0_1(a434)) | (~c2_1(a456)) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456))),
% 1.28/1.12 inference(modus_ponens,[status(thm)],[1251, 1250])).
% 1.28/1.12 tff(1253,plain,
% 1.28/1.12 ($false),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[1252, 219, 1246, 1245, 1244, 1163, 1162, 1161, 615, 1242])).
% 1.28/1.12 tff(1254,plain,((~hskp8) | hskp14), inference(lemma,lemma(discharge,[]))).
% 1.28/1.12 tff(1255,plain,
% 1.28/1.12 (~hskp8),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[1254, 53])).
% 1.28/1.12 tff(1256,assumption,(~c2_1(a448)), introduced(assumption)).
% 1.28/1.12 tff(1257,assumption,(~c0_1(a448)), introduced(assumption)).
% 1.28/1.12 tff(1258,assumption,(c1_1(a448)), introduced(assumption)).
% 1.28/1.12 tff(1259,plain,
% 1.28/1.12 (((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448)))) <=> ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp15 | hskp9 | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448)))),
% 1.28/1.12 inference(rewrite,[status(thm)],[])).
% 1.28/1.12 tff(1260,plain,
% 1.28/1.12 ((hskp15 | hskp9 | (~ndr1_0) | c2_1(a448) | c0_1(a448) | (~c1_1(a448))) <=> (hskp15 | hskp9 | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448)))),
% 1.28/1.12 inference(rewrite,[status(thm)],[])).
% 1.28/1.12 tff(1261,plain,
% 1.28/1.12 (((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | (~ndr1_0) | c2_1(a448) | c0_1(a448) | (~c1_1(a448)))) <=> ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448))))),
% 1.28/1.12 inference(monotonicity,[status(thm)],[1260])).
% 1.28/1.12 tff(1262,plain,
% 1.28/1.12 (((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | (~ndr1_0) | c2_1(a448) | c0_1(a448) | (~c1_1(a448)))) <=> ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp15 | hskp9 | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448)))),
% 1.28/1.12 inference(transitivity,[status(thm)],[1261, 1259])).
% 1.28/1.12 tff(1263,plain,
% 1.28/1.12 ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | (~ndr1_0) | c2_1(a448) | c0_1(a448) | (~c1_1(a448)))),
% 1.28/1.12 inference(quant_inst,[status(thm)],[])).
% 1.28/1.12 tff(1264,plain,
% 1.28/1.12 ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp15 | hskp9 | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448))),
% 1.28/1.12 inference(modus_ponens,[status(thm)],[1263, 1262])).
% 1.28/1.12 tff(1265,plain,
% 1.28/1.12 (hskp15 | hskp9),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[1264, 219, 1258, 1257, 1256, 691])).
% 1.28/1.12 tff(1266,plain,
% 1.28/1.12 (hskp15),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[1265, 31])).
% 1.28/1.12 tff(1267,plain,
% 1.28/1.12 (~c1_1(a454)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[704, 1266])).
% 1.28/1.12 tff(1268,plain,
% 1.28/1.12 (~c0_1(a454)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[710, 1266])).
% 1.28/1.12 tff(1269,plain,
% 1.28/1.12 (c3_1(a454)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[721, 1266])).
% 1.28/1.12 tff(1270,plain,
% 1.28/1.12 ($false),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[728, 219, 31, 32, 1269, 1268, 1267, 50])).
% 1.28/1.12 tff(1271,plain,(hskp9 | hskp8 | (~c1_1(a448)) | c0_1(a448) | c2_1(a448)), inference(lemma,lemma(discharge,[]))).
% 1.28/1.12 tff(1272,plain,
% 1.28/1.12 (hskp9),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[1271, 1255, 1152, 1141, 1135])).
% 1.28/1.12 tff(1273,plain,
% 1.28/1.12 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W))) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W))))),
% 1.28/1.12 inference(bind,[status(th)],[])).
% 1.28/1.12 tff(1274,plain,
% 1.28/1.12 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 1.28/1.12 inference(quant_intro,[status(thm)],[1273])).
% 1.28/1.12 tff(1275,plain,
% 1.28/1.12 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 1.28/1.12 inference(rewrite,[status(thm)],[])).
% 1.28/1.12 tff(1276,plain,
% 1.28/1.12 (^[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)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))) | (~c0_1(W))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W))))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c2_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W)))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W))))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c2_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W))) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W)))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c2_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W))))), ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c2_1(U)) | c1_1(V)) | c1_1(W)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W))) | c1_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | (~c0_1(W))) | c1_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)))), ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c2_1(U)) | c1_1(V)) | c1_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W))))), (((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c2_1(U)) | c1_1(V)) | c1_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W))) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))), (((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c2_1(U)) | c1_1(V)) | c1_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))))),
% 1.28/1.12 inference(bind,[status(th)],[])).
% 1.28/1.12 tff(1277,plain,
% 1.28/1.12 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c2_1(U)) | c1_1(V)) | c1_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) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 1.28/1.12 inference(quant_intro,[status(thm)],[1276])).
% 1.28/1.12 tff(1278,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(V))) | (~c0_1(W))) | c2_1(U)) | c1_1(V)) | c1_1(W)) | c2_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause199')).
% 1.28/1.12 tff(1279,plain,
% 1.28/1.12 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 1.28/1.12 inference(modus_ponens,[status(thm)],[1278, 1277])).
% 1.28/1.12 tff(1280,plain,
% 1.28/1.12 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 1.28/1.12 inference(modus_ponens,[status(thm)],[1279, 1275])).
% 1.28/1.12 tff(1281,plain,(
% 1.28/1.12 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 1.28/1.12 inference(skolemize,[status(sab)],[1280])).
% 1.28/1.12 tff(1282,plain,
% 1.28/1.12 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))),
% 1.28/1.12 inference(modus_ponens,[status(thm)],[1281, 1274])).
% 1.28/1.12 tff(1283,plain,
% 1.28/1.12 (~c3_1(a486)),
% 1.28/1.12 inference(unit_resolution,[status(thm)],[270, 219, 32, 148, 137, 126, 264])).
% 1.28/1.12 tff(1284,plain,
% 1.28/1.12 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | c0_1(a450) | (~ndr1_0) | (~c1_1(a450)) | (~c2_1(a450)) | (~c3_1(a450)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp8 | c0_1(a450) | (~ndr1_0) | (~c1_1(a450)) | (~c2_1(a450)) | (~c3_1(a450)))),
% 1.28/1.12 inference(rewrite,[status(thm)],[])).
% 1.28/1.12 tff(1285,plain,
% 1.28/1.12 ((hskp8 | (~ndr1_0) | c0_1(a450) | (~c2_1(a450)) | (~c3_1(a450)) | c0_1(a450) | (~c1_1(a450)) | (~c2_1(a450))) <=> (hskp8 | c0_1(a450) | (~ndr1_0) | (~c1_1(a450)) | (~c2_1(a450)) | (~c3_1(a450)))),
% 1.28/1.12 inference(rewrite,[status(thm)],[])).
% 1.28/1.12 tff(1286,plain,
% 1.28/1.12 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | c0_1(a450) | (~c2_1(a450)) | (~c3_1(a450)) | c0_1(a450) | (~c1_1(a450)) | (~c2_1(a450)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | c0_1(a450) | (~ndr1_0) | (~c1_1(a450)) | (~c2_1(a450)) | (~c3_1(a450))))),
% 1.28/1.12 inference(monotonicity,[status(thm)],[1285])).
% 1.28/1.12 tff(1287,plain,
% 1.28/1.12 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | c0_1(a450) | (~c2_1(a450)) | (~c3_1(a450)) | c0_1(a450) | (~c1_1(a450)) | (~c2_1(a450)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp8 | c0_1(a450) | (~ndr1_0) | (~c1_1(a450)) | (~c2_1(a450)) | (~c3_1(a450)))),
% 1.28/1.13 inference(transitivity,[status(thm)],[1286, 1284])).
% 1.28/1.13 tff(1288,plain,
% 1.28/1.13 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp8 | (~ndr1_0) | c0_1(a450) | (~c2_1(a450)) | (~c3_1(a450)) | c0_1(a450) | (~c1_1(a450)) | (~c2_1(a450)))),
% 1.28/1.13 inference(quant_inst,[status(thm)],[])).
% 1.28/1.13 tff(1289,plain,
% 1.28/1.13 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp8 | c0_1(a450) | (~ndr1_0) | (~c1_1(a450)) | (~c2_1(a450)) | (~c3_1(a450))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1288, 1287])).
% 1.28/1.13 tff(1290,plain,
% 1.28/1.13 (hskp8 | (~c2_1(a450))),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1289, 219, 1233, 1172, 1171, 264])).
% 1.28/1.13 tff(1291,plain,
% 1.28/1.13 (~c2_1(a450)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1290, 32])).
% 1.28/1.13 tff(1292,plain,
% 1.28/1.13 (hskp16),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1197, 105, 1291])).
% 1.28/1.13 tff(1293,plain,
% 1.28/1.13 (~c2_1(a457)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[339, 1292])).
% 1.28/1.13 tff(1294,plain,
% 1.28/1.13 (c3_1(a457)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[350, 1292])).
% 1.28/1.13 tff(1295,plain,
% 1.28/1.13 (c1_1(a457)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[361, 1292])).
% 1.28/1.13 tff(1296,plain,
% 1.28/1.13 (hskp6),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[368, 219, 148, 137, 1295, 1294, 126, 1293, 178])).
% 1.28/1.13 tff(1297,plain,
% 1.28/1.13 (~c3_1(a442)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[374, 1296])).
% 1.28/1.13 tff(1298,plain,
% 1.28/1.13 (c0_1(a442)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[396, 1296])).
% 1.28/1.13 tff(1299,plain,
% 1.28/1.13 (~c1_1(a442)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1210, 219, 148, 1295, 1294, 1298, 126, 1293, 1297, 1190, 1283])).
% 1.28/1.13 tff(1300,plain,
% 1.28/1.13 (c2_1(a442)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[385, 1296])).
% 1.28/1.13 tff(1301,plain,
% 1.28/1.13 ($false),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1218, 219, 148, 137, 1300, 126, 1297, 10, 1283, 1299])).
% 1.28/1.13 tff(1302,plain,(hskp30 | hskp8 | hskp14), inference(lemma,lemma(discharge,[]))).
% 1.28/1.13 tff(1303,plain,
% 1.28/1.13 (hskp30),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1302, 32, 53])).
% 1.28/1.13 tff(1304,plain,
% 1.28/1.13 (c0_1(a456)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[822, 1303])).
% 1.28/1.13 tff(1305,plain,
% 1.28/1.13 (c2_1(a456)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[811, 1303])).
% 1.28/1.13 tff(1306,plain,
% 1.28/1.13 (c1_1(a456)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[851, 1303])).
% 1.28/1.13 tff(1307,assumption,(~c0_1(a450)), introduced(assumption)).
% 1.28/1.13 tff(1308,assumption,(c3_1(a450)), introduced(assumption)).
% 1.28/1.13 tff(1309,assumption,(c1_1(a450)), introduced(assumption)).
% 1.28/1.13 tff(1310,plain,
% 1.28/1.13 (hskp8 | (~c2_1(a450))),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1289, 219, 1309, 1308, 1307, 264])).
% 1.28/1.13 tff(1311,plain,
% 1.28/1.13 (~c2_1(a450)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1310, 32])).
% 1.28/1.13 tff(1312,plain,
% 1.28/1.13 (hskp9),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1271, 32, 1258, 1257, 1256])).
% 1.28/1.13 tff(1313,plain,
% 1.28/1.13 (~c3_1(a445)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[583, 1312])).
% 1.28/1.13 tff(1314,plain,
% 1.28/1.13 (~c1_1(a445)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[621, 1312])).
% 1.28/1.13 tff(1315,assumption,(~c1_1(a486)), introduced(assumption)).
% 1.28/1.13 tff(1316,plain,
% 1.28/1.13 (~hskp24),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[147, 1315])).
% 1.28/1.13 tff(1317,plain,
% 1.28/1.13 (^[U: $i] : refl((hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) <=> (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))))),
% 1.28/1.13 inference(bind,[status(th)],[])).
% 1.28/1.13 tff(1318,plain,
% 1.28/1.13 (![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 1.28/1.13 inference(quant_intro,[status(thm)],[1317])).
% 1.28/1.13 tff(1319,plain,
% 1.28/1.13 (![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1320,plain,
% 1.28/1.13 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) <=> ((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> (((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp24) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | hskp24))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | hskp24) <=> (hskp24 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp24) <=> (hskp24 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp24) | hskp8) <=> ((hskp24 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | hskp8))), rewrite(((hskp24 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U))) | hskp8) <=> (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp24) | hskp8) <=> (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))))),
% 1.28/1.13 inference(bind,[status(th)],[])).
% 1.28/1.13 tff(1321,plain,
% 1.28/1.13 (![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp24) | hskp8) <=> ![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 1.28/1.13 inference(quant_intro,[status(thm)],[1320])).
% 1.28/1.13 tff(1322,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp24) | hskp8)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause152')).
% 1.28/1.13 tff(1323,plain,
% 1.28/1.13 (![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1322, 1321])).
% 1.28/1.13 tff(1324,plain,
% 1.28/1.13 (![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1323, 1319])).
% 1.28/1.13 tff(1325,plain,(
% 1.28/1.13 ![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 1.28/1.13 inference(skolemize,[status(sab)],[1324])).
% 1.28/1.13 tff(1326,plain,
% 1.28/1.13 (![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1325, 1318])).
% 1.28/1.13 tff(1327,plain,
% 1.28/1.13 (((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)))) <=> ((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1328,plain,
% 1.28/1.13 ((hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a456)) | (~c1_1(a456)) | (~c0_1(a456))) <=> (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1329,plain,
% 1.28/1.13 (((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a456)) | (~c1_1(a456)) | (~c0_1(a456)))) <=> ((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456))))),
% 1.28/1.13 inference(monotonicity,[status(thm)],[1328])).
% 1.28/1.13 tff(1330,plain,
% 1.28/1.13 (((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a456)) | (~c1_1(a456)) | (~c0_1(a456)))) <=> ((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456)))),
% 1.28/1.13 inference(transitivity,[status(thm)],[1329, 1327])).
% 1.28/1.13 tff(1331,plain,
% 1.28/1.13 ((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a456)) | (~c1_1(a456)) | (~c0_1(a456)))),
% 1.28/1.13 inference(quant_inst,[status(thm)],[])).
% 1.28/1.13 tff(1332,plain,
% 1.28/1.13 ((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a456)) | (~c0_1(a456)) | (~c1_1(a456))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1331, 1330])).
% 1.28/1.13 tff(1333,plain,
% 1.28/1.13 (hskp24 | (~c3_1(a456))),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1332, 219, 32, 1071, 1072, 1326])).
% 1.28/1.13 tff(1334,plain,
% 1.28/1.13 (~c3_1(a456)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1333, 1316])).
% 1.28/1.13 tff(1335,plain,
% 1.28/1.13 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c1_1(a486) | c0_1(a486) | c0_1(a450) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a450)) | (~c3_1(a450)) | (~c2_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a486) | c0_1(a486) | c0_1(a450) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a450)) | (~c3_1(a450)) | (~c2_1(a486)))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1336,plain,
% 1.28/1.13 (((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a486) | c0_1(a486) | (~c2_1(a486))) <=> (c1_1(a486) | c0_1(a486) | c0_1(a450) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a450)) | (~c3_1(a450)) | (~c2_1(a486)))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1337,plain,
% 1.28/1.13 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a486) | c0_1(a486) | (~c2_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c1_1(a486) | c0_1(a486) | c0_1(a450) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a450)) | (~c3_1(a450)) | (~c2_1(a486))))),
% 1.28/1.13 inference(monotonicity,[status(thm)],[1336])).
% 1.28/1.13 tff(1338,plain,
% 1.28/1.13 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a486) | c0_1(a486) | (~c2_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a486) | c0_1(a486) | c0_1(a450) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a450)) | (~c3_1(a450)) | (~c2_1(a486)))),
% 1.28/1.13 inference(transitivity,[status(thm)],[1337, 1335])).
% 1.28/1.13 tff(1339,plain,
% 1.28/1.13 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a486) | c0_1(a486) | (~c2_1(a486)))),
% 1.28/1.13 inference(quant_inst,[status(thm)],[])).
% 1.28/1.13 tff(1340,plain,
% 1.28/1.13 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c1_1(a486) | c0_1(a486) | c0_1(a450) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a450)) | (~c3_1(a450)) | (~c2_1(a486))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1339, 1338])).
% 1.28/1.13 tff(1341,plain,
% 1.28/1.13 (~c2_1(a486)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1340, 219, 1072, 1074, 1315, 1309, 1308, 190, 1307, 158, 1334])).
% 1.28/1.13 tff(1342,plain,
% 1.28/1.13 (^[V: $i, U: $i] : refl((hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V))) <=> (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V))))),
% 1.28/1.13 inference(bind,[status(th)],[])).
% 1.28/1.13 tff(1343,plain,
% 1.28/1.13 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))),
% 1.28/1.13 inference(quant_intro,[status(thm)],[1342])).
% 1.28/1.13 tff(1344,plain,
% 1.28/1.13 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1345,plain,
% 1.28/1.13 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c3_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c3_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(V)))), ((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(V))))), (((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(V)))), (((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(V))))), ((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | (~c0_1(V)))), ((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | (~c0_1(V))))), (((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c2_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | (~c0_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | (~c0_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | (~c0_1(V)))), (((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c2_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | (~c0_1(V))))), ((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c2_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | (~c0_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c1_1(V) | (~c0_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))), ((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c2_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V))))), (((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c2_1(U)) | c1_1(V)) | c2_1(V)) | hskp28) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V))) | hskp28))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V))) | hskp28) <=> (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))), (((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c2_1(U)) | c1_1(V)) | c2_1(V)) | hskp28) <=> (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))))),
% 1.28/1.13 inference(bind,[status(th)],[])).
% 1.28/1.13 tff(1346,plain,
% 1.28/1.13 (![V: $i, U: $i] : ((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c2_1(U)) | c1_1(V)) | c2_1(V)) | hskp28) <=> ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))),
% 1.28/1.13 inference(quant_intro,[status(thm)],[1345])).
% 1.28/1.13 tff(1347,axiom,(![V: $i, U: $i] : ((((((((~c3_1(U)) | (~ndr1_0)) | (~c0_1(V))) | c1_1(U)) | c2_1(U)) | c1_1(V)) | c2_1(V)) | hskp28)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause168')).
% 1.28/1.13 tff(1348,plain,
% 1.28/1.13 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1347, 1346])).
% 1.28/1.13 tff(1349,plain,
% 1.28/1.13 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1348, 1344])).
% 1.28/1.13 tff(1350,plain,(
% 1.28/1.13 ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))),
% 1.28/1.13 inference(skolemize,[status(sab)],[1349])).
% 1.28/1.13 tff(1351,plain,
% 1.28/1.13 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1350, 1343])).
% 1.28/1.13 tff(1352,plain,
% 1.28/1.13 (^[V: $i, U: $i] : refl((hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V))) <=> (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V))))),
% 1.28/1.13 inference(bind,[status(th)],[])).
% 1.28/1.13 tff(1353,plain,
% 1.28/1.13 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.28/1.13 inference(quant_intro,[status(thm)],[1352])).
% 1.28/1.13 tff(1354,plain,
% 1.28/1.13 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1355,plain,
% 1.28/1.13 (^[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))) | c1_1(U)) <=> (((~ndr1_0) | (~c0_1(U)) | (~c1_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c0_1(U)) | (~c1_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c1_1(V)))), (((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U)) | (~c1_1(V))))), ((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | 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)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | (~c1_1(V))))), (((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | 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)) | (~ndr1_0)) | (~c1_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) | (~c1_1(V))))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c0_1(V) | (~c1_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))), ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V))))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c2_1(V)) | hskp11) <=> (((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V))) | hskp11))), rewrite((((~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V))) | hskp11) <=> (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))), (((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c2_1(V)) | hskp11) <=> (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))))),
% 1.28/1.13 inference(bind,[status(th)],[])).
% 1.28/1.13 tff(1356,plain,
% 1.28/1.13 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c2_1(V)) | hskp11) <=> ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.28/1.13 inference(quant_intro,[status(thm)],[1355])).
% 1.28/1.13 tff(1357,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~ndr1_0)) | (~c1_1(V))) | c1_1(U)) | c2_1(U)) | c0_1(V)) | c2_1(V)) | hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause164')).
% 1.28/1.13 tff(1358,plain,
% 1.28/1.13 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1357, 1356])).
% 1.28/1.13 tff(1359,plain,
% 1.28/1.13 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1358, 1354])).
% 1.28/1.13 tff(1360,plain,(
% 1.28/1.13 ![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.28/1.13 inference(skolemize,[status(sab)],[1359])).
% 1.28/1.13 tff(1361,plain,
% 1.28/1.13 (![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1360, 1353])).
% 1.28/1.13 tff(1362,plain,
% 1.28/1.13 (~c2_1(a445)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[858, 219, 1072, 1074, 1309, 1308, 1307, 40, 1314, 158, 1334])).
% 1.28/1.13 tff(1363,plain,
% 1.28/1.13 (^[V: $i, U: $i] : refl((hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V)) <=> (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V)))),
% 1.28/1.13 inference(bind,[status(th)],[])).
% 1.28/1.13 tff(1364,plain,
% 1.28/1.13 (![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V)) <=> ![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))),
% 1.28/1.13 inference(quant_intro,[status(thm)],[1363])).
% 1.28/1.13 tff(1365,plain,
% 1.28/1.13 (![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V)) <=> ![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1366,plain,
% 1.28/1.13 (^[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(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)) | c1_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) | c1_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U))) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V)) | c2_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V)))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V)))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | hskp19) <=> (((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V)) | hskp19))), rewrite((((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V)) | hskp19) <=> (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | hskp19) <=> (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))))),
% 1.28/1.13 inference(bind,[status(th)],[])).
% 1.28/1.13 tff(1367,plain,
% 1.28/1.13 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | hskp19) <=> ![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))),
% 1.28/1.13 inference(quant_intro,[status(thm)],[1366])).
% 1.28/1.13 tff(1368,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c3_1(V)) | hskp19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause167')).
% 1.28/1.13 tff(1369,plain,
% 1.28/1.13 (![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1368, 1367])).
% 1.28/1.13 tff(1370,plain,
% 1.28/1.13 (![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1369, 1365])).
% 1.28/1.13 tff(1371,plain,(
% 1.28/1.13 ![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))),
% 1.28/1.13 inference(skolemize,[status(sab)],[1370])).
% 1.28/1.13 tff(1372,plain,
% 1.28/1.13 (![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1371, 1364])).
% 1.28/1.13 tff(1373,plain,
% 1.28/1.13 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))) | (hskp19 | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c2_1(a445))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))) | hskp19 | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c2_1(a445))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1374,plain,
% 1.28/1.13 ((hskp19 | (~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c2_1(a445) | c1_1(a445) | c3_1(a445)) <=> (hskp19 | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c2_1(a445))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1375,plain,
% 1.28/1.13 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))) | (hskp19 | (~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c2_1(a445) | c1_1(a445) | c3_1(a445))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))) | (hskp19 | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c2_1(a445)))),
% 1.28/1.13 inference(monotonicity,[status(thm)],[1374])).
% 1.28/1.13 tff(1376,plain,
% 1.28/1.13 (((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))) | (hskp19 | (~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c2_1(a445) | c1_1(a445) | c3_1(a445))) <=> ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))) | hskp19 | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c2_1(a445))),
% 1.28/1.13 inference(transitivity,[status(thm)],[1375, 1373])).
% 1.28/1.13 tff(1377,plain,
% 1.28/1.13 ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))) | (hskp19 | (~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c2_1(a445) | c1_1(a445) | c3_1(a445))),
% 1.28/1.13 inference(quant_inst,[status(thm)],[])).
% 1.28/1.13 tff(1378,plain,
% 1.28/1.13 ((~![V: $i, U: $i] : (hskp19 | (~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c2_1(V) | c1_1(V) | c3_1(V))) | hskp19 | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c2_1(a445)),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1377, 1376])).
% 1.28/1.13 tff(1379,plain,
% 1.28/1.13 (hskp19),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1378, 219, 1072, 1074, 1314, 1313, 1372, 1334, 1362])).
% 1.28/1.13 tff(1380,plain,
% 1.28/1.13 (((~hskp19) | (~c2_1(a467))) <=> ((~hskp19) | (~c2_1(a467)))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1381,plain,
% 1.28/1.13 (((~c2_1(a467)) | (~hskp19)) <=> ((~hskp19) | (~c2_1(a467)))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1382,axiom,((~c2_1(a467)) | (~hskp19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause96')).
% 1.28/1.13 tff(1383,plain,
% 1.28/1.13 ((~hskp19) | (~c2_1(a467))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1382, 1381])).
% 1.28/1.13 tff(1384,plain,
% 1.28/1.13 ((~hskp19) | (~c2_1(a467))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1383, 1380])).
% 1.28/1.13 tff(1385,plain,
% 1.28/1.13 (~c2_1(a467)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1384, 1379])).
% 1.28/1.13 tff(1386,plain,
% 1.28/1.13 (((~hskp19) | (~c1_1(a467))) <=> ((~hskp19) | (~c1_1(a467)))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1387,plain,
% 1.28/1.13 (((~c1_1(a467)) | (~hskp19)) <=> ((~hskp19) | (~c1_1(a467)))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1388,axiom,((~c1_1(a467)) | (~hskp19)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause95')).
% 1.28/1.13 tff(1389,plain,
% 1.28/1.13 ((~hskp19) | (~c1_1(a467))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1388, 1387])).
% 1.28/1.13 tff(1390,plain,
% 1.28/1.13 ((~hskp19) | (~c1_1(a467))),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1389, 1386])).
% 1.28/1.13 tff(1391,plain,
% 1.28/1.13 (~c1_1(a467)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1390, 1379])).
% 1.28/1.13 tff(1392,plain,
% 1.28/1.13 (((~hskp19) | c0_1(a467)) <=> ((~hskp19) | c0_1(a467))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1393,axiom,((~hskp19) | c0_1(a467)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause59')).
% 1.28/1.13 tff(1394,plain,
% 1.28/1.13 ((~hskp19) | c0_1(a467)),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1393, 1392])).
% 1.28/1.13 tff(1395,plain,
% 1.28/1.13 ((~hskp19) | c0_1(a467)),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1394, 1392])).
% 1.28/1.13 tff(1396,plain,
% 1.28/1.13 ((~hskp19) | c0_1(a467)),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1395, 1392])).
% 1.28/1.13 tff(1397,plain,
% 1.28/1.13 ((~hskp19) | c0_1(a467)),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1396, 1392])).
% 1.28/1.13 tff(1398,plain,
% 1.28/1.13 ((~hskp19) | c0_1(a467)),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1397, 1392])).
% 1.28/1.13 tff(1399,plain,
% 1.28/1.13 ((~hskp19) | c0_1(a467)),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1398, 1392])).
% 1.28/1.13 tff(1400,plain,
% 1.28/1.13 ((~hskp19) | c0_1(a467)),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1399, 1392])).
% 1.28/1.13 tff(1401,plain,
% 1.28/1.13 ((~hskp19) | c0_1(a467)),
% 1.28/1.13 inference(modus_ponens,[status(thm)],[1400, 1392])).
% 1.28/1.13 tff(1402,plain,
% 1.28/1.13 (c0_1(a467)),
% 1.28/1.13 inference(unit_resolution,[status(thm)],[1401, 1379])).
% 1.28/1.13 tff(1403,plain,
% 1.28/1.13 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp11 | c1_1(a467) | c2_1(a467) | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448)) | (~c0_1(a467)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | hskp11 | c1_1(a467) | c2_1(a467) | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448)) | (~c0_1(a467)))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1404,plain,
% 1.28/1.13 ((hskp11 | (~ndr1_0) | c2_1(a467) | c1_1(a467) | (~c0_1(a467)) | c2_1(a448) | c0_1(a448) | (~c1_1(a448))) <=> (hskp11 | c1_1(a467) | c2_1(a467) | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448)) | (~c0_1(a467)))),
% 1.28/1.13 inference(rewrite,[status(thm)],[])).
% 1.28/1.13 tff(1405,plain,
% 1.28/1.13 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a467) | c1_1(a467) | (~c0_1(a467)) | c2_1(a448) | c0_1(a448) | (~c1_1(a448)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp11 | c1_1(a467) | c2_1(a467) | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448)) | (~c0_1(a467))))),
% 1.28/1.14 inference(monotonicity,[status(thm)],[1404])).
% 1.28/1.14 tff(1406,plain,
% 1.28/1.14 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a467) | c1_1(a467) | (~c0_1(a467)) | c2_1(a448) | c0_1(a448) | (~c1_1(a448)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | hskp11 | c1_1(a467) | c2_1(a467) | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448)) | (~c0_1(a467)))),
% 1.28/1.14 inference(transitivity,[status(thm)],[1405, 1403])).
% 1.28/1.14 tff(1407,plain,
% 1.28/1.14 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a467) | c1_1(a467) | (~c0_1(a467)) | c2_1(a448) | c0_1(a448) | (~c1_1(a448)))),
% 1.28/1.14 inference(quant_inst,[status(thm)],[])).
% 1.28/1.14 tff(1408,plain,
% 1.28/1.14 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | hskp11 | c1_1(a467) | c2_1(a467) | c0_1(a448) | c2_1(a448) | (~ndr1_0) | (~c1_1(a448)) | (~c0_1(a467))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1407, 1406])).
% 1.28/1.14 tff(1409,plain,
% 1.28/1.14 (hskp11),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1408, 219, 1402, 1258, 1391, 1385, 1257, 1256, 1361])).
% 1.28/1.14 tff(1410,plain,
% 1.28/1.14 (((~hskp11) | (~c1_1(a449))) <=> ((~hskp11) | (~c1_1(a449)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1411,plain,
% 1.28/1.14 (((~c1_1(a449)) | (~hskp11)) <=> ((~hskp11) | (~c1_1(a449)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1412,axiom,((~c1_1(a449)) | (~hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause107')).
% 1.28/1.14 tff(1413,plain,
% 1.28/1.14 ((~hskp11) | (~c1_1(a449))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1412, 1411])).
% 1.28/1.14 tff(1414,plain,
% 1.28/1.14 ((~hskp11) | (~c1_1(a449))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1413, 1410])).
% 1.28/1.14 tff(1415,plain,
% 1.28/1.14 (~c1_1(a449)),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1414, 1409])).
% 1.28/1.14 tff(1416,plain,
% 1.28/1.14 (((~hskp11) | c2_1(a449)) <=> ((~hskp11) | c2_1(a449))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1417,axiom,((~hskp11) | c2_1(a449)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause71')).
% 1.28/1.14 tff(1418,plain,
% 1.28/1.14 ((~hskp11) | c2_1(a449)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1417, 1416])).
% 1.28/1.14 tff(1419,plain,
% 1.28/1.14 ((~hskp11) | c2_1(a449)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1418, 1416])).
% 1.28/1.14 tff(1420,plain,
% 1.28/1.14 ((~hskp11) | c2_1(a449)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1419, 1416])).
% 1.28/1.14 tff(1421,plain,
% 1.28/1.14 ((~hskp11) | c2_1(a449)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1420, 1416])).
% 1.28/1.14 tff(1422,plain,
% 1.28/1.14 ((~hskp11) | c2_1(a449)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1421, 1416])).
% 1.28/1.14 tff(1423,plain,
% 1.28/1.14 ((~hskp11) | c2_1(a449)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1422, 1416])).
% 1.28/1.14 tff(1424,plain,
% 1.28/1.14 ((~hskp11) | c2_1(a449)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1423, 1416])).
% 1.28/1.14 tff(1425,plain,
% 1.28/1.14 ((~hskp11) | c2_1(a449)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1424, 1416])).
% 1.28/1.14 tff(1426,plain,
% 1.28/1.14 (c2_1(a449)),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1425, 1409])).
% 1.28/1.14 tff(1427,plain,
% 1.28/1.14 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a450) | c1_1(a449) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c0_1(a449) | (~c2_1(a449)) | (~c1_1(a450)) | (~c3_1(a450)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a450) | c1_1(a449) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c0_1(a449) | (~c2_1(a449)) | (~c1_1(a450)) | (~c3_1(a450)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1428,plain,
% 1.28/1.14 (((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a449) | c0_1(a449) | (~c2_1(a449))) <=> (c0_1(a450) | c1_1(a449) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c0_1(a449) | (~c2_1(a449)) | (~c1_1(a450)) | (~c3_1(a450)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1429,plain,
% 1.28/1.14 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a449) | c0_1(a449) | (~c2_1(a449)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a450) | c1_1(a449) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c0_1(a449) | (~c2_1(a449)) | (~c1_1(a450)) | (~c3_1(a450))))),
% 1.28/1.14 inference(monotonicity,[status(thm)],[1428])).
% 1.28/1.14 tff(1430,plain,
% 1.28/1.14 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a449) | c0_1(a449) | (~c2_1(a449)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a450) | c1_1(a449) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c0_1(a449) | (~c2_1(a449)) | (~c1_1(a450)) | (~c3_1(a450)))),
% 1.28/1.14 inference(transitivity,[status(thm)],[1429, 1427])).
% 1.28/1.14 tff(1431,plain,
% 1.28/1.14 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c1_1(a449) | c0_1(a449) | (~c2_1(a449)))),
% 1.28/1.14 inference(quant_inst,[status(thm)],[])).
% 1.28/1.14 tff(1432,plain,
% 1.28/1.14 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a450) | c1_1(a449) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c0_1(a449) | (~c2_1(a449)) | (~c1_1(a450)) | (~c3_1(a450))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1431, 1430])).
% 1.28/1.14 tff(1433,plain,
% 1.28/1.14 (c0_1(a449)),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1432, 219, 1072, 1074, 1309, 1308, 1426, 1307, 1415, 158, 1334])).
% 1.28/1.14 tff(1434,assumption,(c0_1(a449)), introduced(assumption)).
% 1.28/1.14 tff(1435,plain,
% 1.28/1.14 (^[V: $i, U: $i] : refl((hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V))) <=> (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V))))),
% 1.28/1.14 inference(bind,[status(th)],[])).
% 1.28/1.14 tff(1436,plain,
% 1.28/1.14 (![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))),
% 1.28/1.14 inference(quant_intro,[status(thm)],[1435])).
% 1.28/1.14 tff(1437,plain,
% 1.28/1.14 (![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1438,plain,
% 1.28/1.14 (^[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)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c1_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(V)))), ((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(V))))), (((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(V)) | (~c2_1(V)))), (((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(V)) | (~c2_1(V))))), ((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(V)) | (~c2_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(V)) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(V)) | (~c2_1(V)))), ((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(V)) | (~c2_1(V))))), (((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(V)) | (~c2_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(V)) | (~c2_1(V))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | (~c0_1(V)) | (~c2_1(V)))), (((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | (~c0_1(V)) | (~c2_1(V))))), ((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | (~c0_1(V)) | (~c2_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | (~c0_1(V)) | (~c2_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))), ((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V))))), (((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | hskp24) <=> (((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V))) | hskp24))), rewrite((((~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V))) | hskp24) <=> (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))), (((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | hskp24) <=> (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))))),
% 1.28/1.14 inference(bind,[status(th)],[])).
% 1.28/1.14 tff(1439,plain,
% 1.28/1.14 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | hskp24) <=> ![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))),
% 1.28/1.14 inference(quant_intro,[status(thm)],[1438])).
% 1.28/1.14 tff(1440,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | hskp24)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause177')).
% 1.28/1.14 tff(1441,plain,
% 1.28/1.14 (![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1440, 1439])).
% 1.28/1.14 tff(1442,plain,
% 1.28/1.14 (![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1441, 1437])).
% 1.28/1.14 tff(1443,plain,(
% 1.28/1.14 ![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))),
% 1.28/1.14 inference(skolemize,[status(sab)],[1442])).
% 1.28/1.14 tff(1444,plain,
% 1.28/1.14 (![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1443, 1436])).
% 1.28/1.14 tff(1445,assumption,(~c1_1(a449)), introduced(assumption)).
% 1.28/1.14 tff(1446,assumption,(hskp23), introduced(assumption)).
% 1.28/1.14 tff(1447,plain,
% 1.28/1.14 (((~hskp23) | (~c3_1(a484))) <=> ((~hskp23) | (~c3_1(a484)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1448,plain,
% 1.28/1.14 (((~c3_1(a484)) | (~hskp23)) <=> ((~hskp23) | (~c3_1(a484)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1449,axiom,((~c3_1(a484)) | (~hskp23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause90')).
% 1.28/1.14 tff(1450,plain,
% 1.28/1.14 ((~hskp23) | (~c3_1(a484))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1449, 1448])).
% 1.28/1.14 tff(1451,plain,
% 1.28/1.14 ((~hskp23) | (~c3_1(a484))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1450, 1447])).
% 1.28/1.14 tff(1452,plain,
% 1.28/1.14 (~c3_1(a484)),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1451, 1446])).
% 1.28/1.14 tff(1453,plain,
% 1.28/1.14 (((~hskp23) | (~c2_1(a484))) <=> ((~hskp23) | (~c2_1(a484)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1454,plain,
% 1.28/1.14 (((~c2_1(a484)) | (~hskp23)) <=> ((~hskp23) | (~c2_1(a484)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1455,axiom,((~c2_1(a484)) | (~hskp23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause89')).
% 1.28/1.14 tff(1456,plain,
% 1.28/1.14 ((~hskp23) | (~c2_1(a484))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1455, 1454])).
% 1.28/1.14 tff(1457,plain,
% 1.28/1.14 ((~hskp23) | (~c2_1(a484))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1456, 1453])).
% 1.28/1.14 tff(1458,plain,
% 1.28/1.14 (~c2_1(a484)),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1457, 1446])).
% 1.28/1.14 tff(1459,assumption,(c2_1(a449)), introduced(assumption)).
% 1.28/1.14 tff(1460,plain,
% 1.28/1.14 (((~hskp23) | c1_1(a484)) <=> ((~hskp23) | c1_1(a484))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1461,axiom,((~hskp23) | c1_1(a484)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause53')).
% 1.28/1.14 tff(1462,plain,
% 1.28/1.14 ((~hskp23) | c1_1(a484)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 1.28/1.14 tff(1463,plain,
% 1.28/1.14 ((~hskp23) | c1_1(a484)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1462, 1460])).
% 1.28/1.14 tff(1464,plain,
% 1.28/1.14 ((~hskp23) | c1_1(a484)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1463, 1460])).
% 1.28/1.14 tff(1465,plain,
% 1.28/1.14 ((~hskp23) | c1_1(a484)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1464, 1460])).
% 1.28/1.14 tff(1466,plain,
% 1.28/1.14 ((~hskp23) | c1_1(a484)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1465, 1460])).
% 1.28/1.14 tff(1467,plain,
% 1.28/1.14 ((~hskp23) | c1_1(a484)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1466, 1460])).
% 1.28/1.14 tff(1468,plain,
% 1.28/1.14 ((~hskp23) | c1_1(a484)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1467, 1460])).
% 1.28/1.14 tff(1469,plain,
% 1.28/1.14 ((~hskp23) | c1_1(a484)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1468, 1460])).
% 1.28/1.14 tff(1470,plain,
% 1.28/1.14 (c1_1(a484)),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1469, 1446])).
% 1.28/1.14 tff(1471,assumption,(~hskp24), introduced(assumption)).
% 1.28/1.14 tff(1472,plain,
% 1.28/1.14 (((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp24 | c2_1(a484) | c3_1(a484) | c1_1(a449) | (~ndr1_0) | (~c0_1(a449)) | (~c2_1(a449)) | (~c1_1(a484)))) <=> ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | hskp24 | c2_1(a484) | c3_1(a484) | c1_1(a449) | (~ndr1_0) | (~c0_1(a449)) | (~c2_1(a449)) | (~c1_1(a484)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1473,plain,
% 1.28/1.14 ((hskp24 | (~ndr1_0) | c3_1(a484) | c2_1(a484) | (~c1_1(a484)) | c1_1(a449) | (~c0_1(a449)) | (~c2_1(a449))) <=> (hskp24 | c2_1(a484) | c3_1(a484) | c1_1(a449) | (~ndr1_0) | (~c0_1(a449)) | (~c2_1(a449)) | (~c1_1(a484)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1474,plain,
% 1.28/1.14 (((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp24 | (~ndr1_0) | c3_1(a484) | c2_1(a484) | (~c1_1(a484)) | c1_1(a449) | (~c0_1(a449)) | (~c2_1(a449)))) <=> ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp24 | c2_1(a484) | c3_1(a484) | c1_1(a449) | (~ndr1_0) | (~c0_1(a449)) | (~c2_1(a449)) | (~c1_1(a484))))),
% 1.28/1.14 inference(monotonicity,[status(thm)],[1473])).
% 1.28/1.14 tff(1475,plain,
% 1.28/1.14 (((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp24 | (~ndr1_0) | c3_1(a484) | c2_1(a484) | (~c1_1(a484)) | c1_1(a449) | (~c0_1(a449)) | (~c2_1(a449)))) <=> ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | hskp24 | c2_1(a484) | c3_1(a484) | c1_1(a449) | (~ndr1_0) | (~c0_1(a449)) | (~c2_1(a449)) | (~c1_1(a484)))),
% 1.28/1.14 inference(transitivity,[status(thm)],[1474, 1472])).
% 1.28/1.14 tff(1476,plain,
% 1.28/1.14 ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp24 | (~ndr1_0) | c3_1(a484) | c2_1(a484) | (~c1_1(a484)) | c1_1(a449) | (~c0_1(a449)) | (~c2_1(a449)))),
% 1.28/1.14 inference(quant_inst,[status(thm)],[])).
% 1.28/1.14 tff(1477,plain,
% 1.28/1.14 ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | hskp24 | c2_1(a484) | c3_1(a484) | c1_1(a449) | (~ndr1_0) | (~c0_1(a449)) | (~c2_1(a449)) | (~c1_1(a484))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1476, 1475])).
% 1.28/1.14 tff(1478,plain,
% 1.28/1.14 ($false),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1477, 219, 1471, 1470, 1459, 1458, 1452, 1445, 1444, 1434])).
% 1.28/1.14 tff(1479,plain,((~hskp23) | hskp24 | (~c2_1(a449)) | c1_1(a449) | (~c0_1(a449))), inference(lemma,lemma(discharge,[]))).
% 1.28/1.14 tff(1480,plain,
% 1.28/1.14 (~hskp23),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1479, 1316, 1426, 1415, 1433])).
% 1.28/1.14 tff(1481,plain,
% 1.28/1.14 (^[U: $i] : refl((hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U))) <=> (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U))))),
% 1.28/1.14 inference(bind,[status(th)],[])).
% 1.28/1.14 tff(1482,plain,
% 1.28/1.14 (![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U))) <=> ![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))),
% 1.28/1.14 inference(quant_intro,[status(thm)],[1481])).
% 1.28/1.14 tff(1483,plain,
% 1.28/1.14 (![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U))) <=> ![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1484,plain,
% 1.28/1.14 (^[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)) | c1_1(U)) <=> (((~ndr1_0) | (~c2_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)))), ((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U))))), (((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U))) | c3_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U))) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))), (((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U))))), ((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp23) <=> (((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U))) | hskp23))), rewrite((((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U))) | hskp23) <=> (hskp23 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))), ((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp23) <=> (hskp23 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U))))), (((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp23) | hskp7) <=> ((hskp23 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U))) | hskp7))), rewrite(((hskp23 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U))) | hskp7) <=> (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))), (((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp23) | hskp7) <=> (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))))),
% 1.28/1.14 inference(bind,[status(th)],[])).
% 1.28/1.14 tff(1485,plain,
% 1.28/1.14 (![U: $i] : ((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp23) | hskp7) <=> ![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))),
% 1.28/1.14 inference(quant_intro,[status(thm)],[1484])).
% 1.28/1.14 tff(1486,axiom,(![U: $i] : ((((((~c2_1(U)) | (~ndr1_0)) | c1_1(U)) | c3_1(U)) | hskp23) | hskp7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause143')).
% 1.28/1.14 tff(1487,plain,
% 1.28/1.14 (![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1486, 1485])).
% 1.28/1.14 tff(1488,plain,
% 1.28/1.14 (![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1487, 1483])).
% 1.28/1.14 tff(1489,plain,(
% 1.28/1.14 ![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))),
% 1.28/1.14 inference(skolemize,[status(sab)],[1488])).
% 1.28/1.14 tff(1490,plain,
% 1.28/1.14 (![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1489, 1482])).
% 1.28/1.14 tff(1491,plain,
% 1.28/1.14 (((~hskp11) | (~c3_1(a449))) <=> ((~hskp11) | (~c3_1(a449)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1492,plain,
% 1.28/1.14 (((~c3_1(a449)) | (~hskp11)) <=> ((~hskp11) | (~c3_1(a449)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1493,axiom,((~c3_1(a449)) | (~hskp11)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause108')).
% 1.28/1.14 tff(1494,plain,
% 1.28/1.14 ((~hskp11) | (~c3_1(a449))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1493, 1492])).
% 1.28/1.14 tff(1495,plain,
% 1.28/1.14 ((~hskp11) | (~c3_1(a449))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1494, 1491])).
% 1.28/1.14 tff(1496,plain,
% 1.28/1.14 (~c3_1(a449)),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1495, 1409])).
% 1.28/1.14 tff(1497,plain,
% 1.28/1.14 (((~![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))) | (hskp23 | hskp7 | c1_1(a449) | c3_1(a449) | (~ndr1_0) | (~c2_1(a449)))) <=> ((~![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))) | hskp23 | hskp7 | c1_1(a449) | c3_1(a449) | (~ndr1_0) | (~c2_1(a449)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1498,plain,
% 1.28/1.14 ((hskp23 | hskp7 | (~ndr1_0) | c3_1(a449) | c1_1(a449) | (~c2_1(a449))) <=> (hskp23 | hskp7 | c1_1(a449) | c3_1(a449) | (~ndr1_0) | (~c2_1(a449)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1499,plain,
% 1.28/1.14 (((~![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))) | (hskp23 | hskp7 | (~ndr1_0) | c3_1(a449) | c1_1(a449) | (~c2_1(a449)))) <=> ((~![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))) | (hskp23 | hskp7 | c1_1(a449) | c3_1(a449) | (~ndr1_0) | (~c2_1(a449))))),
% 1.28/1.14 inference(monotonicity,[status(thm)],[1498])).
% 1.28/1.14 tff(1500,plain,
% 1.28/1.14 (((~![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))) | (hskp23 | hskp7 | (~ndr1_0) | c3_1(a449) | c1_1(a449) | (~c2_1(a449)))) <=> ((~![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))) | hskp23 | hskp7 | c1_1(a449) | c3_1(a449) | (~ndr1_0) | (~c2_1(a449)))),
% 1.28/1.14 inference(transitivity,[status(thm)],[1499, 1497])).
% 1.28/1.14 tff(1501,plain,
% 1.28/1.14 ((~![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))) | (hskp23 | hskp7 | (~ndr1_0) | c3_1(a449) | c1_1(a449) | (~c2_1(a449)))),
% 1.28/1.14 inference(quant_inst,[status(thm)],[])).
% 1.28/1.14 tff(1502,plain,
% 1.28/1.14 ((~![U: $i] : (hskp23 | hskp7 | (~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)))) | hskp23 | hskp7 | c1_1(a449) | c3_1(a449) | (~ndr1_0) | (~c2_1(a449))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1501, 1500])).
% 1.28/1.14 tff(1503,plain,
% 1.28/1.14 (hskp23 | hskp7),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1502, 219, 1426, 1415, 1496, 1490])).
% 1.28/1.14 tff(1504,plain,
% 1.28/1.14 (hskp7),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1503, 1480])).
% 1.28/1.14 tff(1505,plain,
% 1.28/1.14 (((~hskp7) | (~c2_1(a443))) <=> ((~hskp7) | (~c2_1(a443)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1506,plain,
% 1.28/1.14 (((~c2_1(a443)) | (~hskp7)) <=> ((~hskp7) | (~c2_1(a443)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1507,axiom,((~c2_1(a443)) | (~hskp7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause117')).
% 1.28/1.14 tff(1508,plain,
% 1.28/1.14 ((~hskp7) | (~c2_1(a443))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1507, 1506])).
% 1.28/1.14 tff(1509,plain,
% 1.28/1.14 ((~hskp7) | (~c2_1(a443))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1508, 1505])).
% 1.28/1.14 tff(1510,plain,
% 1.28/1.14 (~c2_1(a443)),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1509, 1504])).
% 1.28/1.14 tff(1511,plain,
% 1.28/1.14 (((~hskp7) | (~c1_1(a443))) <=> ((~hskp7) | (~c1_1(a443)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1512,plain,
% 1.28/1.14 (((~c1_1(a443)) | (~hskp7)) <=> ((~hskp7) | (~c1_1(a443)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1513,axiom,((~c1_1(a443)) | (~hskp7)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause116')).
% 1.28/1.14 tff(1514,plain,
% 1.28/1.14 ((~hskp7) | (~c1_1(a443))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1513, 1512])).
% 1.28/1.14 tff(1515,plain,
% 1.28/1.14 ((~hskp7) | (~c1_1(a443))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1514, 1511])).
% 1.28/1.14 tff(1516,plain,
% 1.28/1.14 (~c1_1(a443)),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1515, 1504])).
% 1.28/1.14 tff(1517,plain,
% 1.28/1.14 (((~hskp7) | c3_1(a443)) <=> ((~hskp7) | c3_1(a443))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1518,axiom,((~hskp7) | c3_1(a443)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause74')).
% 1.28/1.14 tff(1519,plain,
% 1.28/1.14 ((~hskp7) | c3_1(a443)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1518, 1517])).
% 1.28/1.14 tff(1520,plain,
% 1.28/1.14 ((~hskp7) | c3_1(a443)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1519, 1517])).
% 1.28/1.14 tff(1521,plain,
% 1.28/1.14 ((~hskp7) | c3_1(a443)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1520, 1517])).
% 1.28/1.14 tff(1522,plain,
% 1.28/1.14 ((~hskp7) | c3_1(a443)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1521, 1517])).
% 1.28/1.14 tff(1523,plain,
% 1.28/1.14 ((~hskp7) | c3_1(a443)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1522, 1517])).
% 1.28/1.14 tff(1524,plain,
% 1.28/1.14 ((~hskp7) | c3_1(a443)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1523, 1517])).
% 1.28/1.14 tff(1525,plain,
% 1.28/1.14 ((~hskp7) | c3_1(a443)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1524, 1517])).
% 1.28/1.14 tff(1526,plain,
% 1.28/1.14 ((~hskp7) | c3_1(a443)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1525, 1517])).
% 1.28/1.14 tff(1527,plain,
% 1.28/1.14 (c3_1(a443)),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1526, 1504])).
% 1.28/1.14 tff(1528,plain,
% 1.28/1.14 (((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))) | (hskp28 | c1_1(a467) | c2_1(a467) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c3_1(a443)) | (~c0_1(a467)))) <=> ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))) | hskp28 | c1_1(a467) | c2_1(a467) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c3_1(a443)) | (~c0_1(a467)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1529,plain,
% 1.28/1.14 ((hskp28 | (~ndr1_0) | c2_1(a443) | c1_1(a443) | (~c3_1(a443)) | c2_1(a467) | c1_1(a467) | (~c0_1(a467))) <=> (hskp28 | c1_1(a467) | c2_1(a467) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c3_1(a443)) | (~c0_1(a467)))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1530,plain,
% 1.28/1.14 (((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))) | (hskp28 | (~ndr1_0) | c2_1(a443) | c1_1(a443) | (~c3_1(a443)) | c2_1(a467) | c1_1(a467) | (~c0_1(a467)))) <=> ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))) | (hskp28 | c1_1(a467) | c2_1(a467) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c3_1(a443)) | (~c0_1(a467))))),
% 1.28/1.14 inference(monotonicity,[status(thm)],[1529])).
% 1.28/1.14 tff(1531,plain,
% 1.28/1.14 (((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))) | (hskp28 | (~ndr1_0) | c2_1(a443) | c1_1(a443) | (~c3_1(a443)) | c2_1(a467) | c1_1(a467) | (~c0_1(a467)))) <=> ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))) | hskp28 | c1_1(a467) | c2_1(a467) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c3_1(a443)) | (~c0_1(a467)))),
% 1.28/1.14 inference(transitivity,[status(thm)],[1530, 1528])).
% 1.28/1.14 tff(1532,plain,
% 1.28/1.14 ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))) | (hskp28 | (~ndr1_0) | c2_1(a443) | c1_1(a443) | (~c3_1(a443)) | c2_1(a467) | c1_1(a467) | (~c0_1(a467)))),
% 1.28/1.14 inference(quant_inst,[status(thm)],[])).
% 1.28/1.14 tff(1533,plain,
% 1.28/1.14 ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c3_1(U)) | c2_1(V) | c1_1(V) | (~c0_1(V)))) | hskp28 | c1_1(a467) | c2_1(a467) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c3_1(a443)) | (~c0_1(a467))),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1532, 1531])).
% 1.28/1.14 tff(1534,plain,
% 1.28/1.14 (hskp28),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1533, 219, 1402, 1527, 1391, 1385, 1516, 1510, 1351])).
% 1.28/1.14 tff(1535,plain,
% 1.28/1.14 (((~hskp28) | c3_1(a437)) <=> ((~hskp28) | c3_1(a437))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1536,axiom,((~hskp28) | c3_1(a437)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause46')).
% 1.28/1.14 tff(1537,plain,
% 1.28/1.14 ((~hskp28) | c3_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1536, 1535])).
% 1.28/1.14 tff(1538,plain,
% 1.28/1.14 ((~hskp28) | c3_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1537, 1535])).
% 1.28/1.14 tff(1539,plain,
% 1.28/1.14 ((~hskp28) | c3_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1538, 1535])).
% 1.28/1.14 tff(1540,plain,
% 1.28/1.14 ((~hskp28) | c3_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1539, 1535])).
% 1.28/1.14 tff(1541,plain,
% 1.28/1.14 ((~hskp28) | c3_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1540, 1535])).
% 1.28/1.14 tff(1542,plain,
% 1.28/1.14 ((~hskp28) | c3_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1541, 1535])).
% 1.28/1.14 tff(1543,plain,
% 1.28/1.14 ((~hskp28) | c3_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1542, 1535])).
% 1.28/1.14 tff(1544,plain,
% 1.28/1.14 ((~hskp28) | c3_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1543, 1535])).
% 1.28/1.14 tff(1545,plain,
% 1.28/1.14 (c3_1(a437)),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1544, 1534])).
% 1.28/1.14 tff(1546,plain,
% 1.28/1.14 (((~hskp28) | c2_1(a437)) <=> ((~hskp28) | c2_1(a437))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1547,axiom,((~hskp28) | c2_1(a437)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause45')).
% 1.28/1.14 tff(1548,plain,
% 1.28/1.14 ((~hskp28) | c2_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1547, 1546])).
% 1.28/1.14 tff(1549,plain,
% 1.28/1.14 ((~hskp28) | c2_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1548, 1546])).
% 1.28/1.14 tff(1550,plain,
% 1.28/1.14 ((~hskp28) | c2_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1549, 1546])).
% 1.28/1.14 tff(1551,plain,
% 1.28/1.14 ((~hskp28) | c2_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1550, 1546])).
% 1.28/1.14 tff(1552,plain,
% 1.28/1.14 ((~hskp28) | c2_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1551, 1546])).
% 1.28/1.14 tff(1553,plain,
% 1.28/1.14 ((~hskp28) | c2_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1552, 1546])).
% 1.28/1.14 tff(1554,plain,
% 1.28/1.14 ((~hskp28) | c2_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1553, 1546])).
% 1.28/1.14 tff(1555,plain,
% 1.28/1.14 ((~hskp28) | c2_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1554, 1546])).
% 1.28/1.14 tff(1556,plain,
% 1.28/1.14 (c2_1(a437)),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1555, 1534])).
% 1.28/1.14 tff(1557,plain,
% 1.28/1.14 (((~hskp28) | c0_1(a437)) <=> ((~hskp28) | c0_1(a437))),
% 1.28/1.14 inference(rewrite,[status(thm)],[])).
% 1.28/1.14 tff(1558,axiom,((~hskp28) | c0_1(a437)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause44')).
% 1.28/1.14 tff(1559,plain,
% 1.28/1.14 ((~hskp28) | c0_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1558, 1557])).
% 1.28/1.14 tff(1560,plain,
% 1.28/1.14 ((~hskp28) | c0_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1559, 1557])).
% 1.28/1.14 tff(1561,plain,
% 1.28/1.14 ((~hskp28) | c0_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1560, 1557])).
% 1.28/1.14 tff(1562,plain,
% 1.28/1.14 ((~hskp28) | c0_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1561, 1557])).
% 1.28/1.14 tff(1563,plain,
% 1.28/1.14 ((~hskp28) | c0_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1562, 1557])).
% 1.28/1.14 tff(1564,plain,
% 1.28/1.14 ((~hskp28) | c0_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1563, 1557])).
% 1.28/1.14 tff(1565,plain,
% 1.28/1.14 ((~hskp28) | c0_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1564, 1557])).
% 1.28/1.14 tff(1566,plain,
% 1.28/1.14 ((~hskp28) | c0_1(a437)),
% 1.28/1.14 inference(modus_ponens,[status(thm)],[1565, 1557])).
% 1.28/1.14 tff(1567,plain,
% 1.28/1.14 (c0_1(a437)),
% 1.28/1.14 inference(unit_resolution,[status(thm)],[1566, 1534])).
% 1.28/1.14 tff(1568,plain,
% 1.28/1.14 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a486) | c2_1(a486) | c0_1(a486) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c0_1(a437)) | (~c3_1(a437)) | (~c2_1(a437)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a486) | c2_1(a486) | c0_1(a486) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c0_1(a437)) | (~c3_1(a437)) | (~c2_1(a437)))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1569,plain,
% 1.28/1.15 (((~ndr1_0) | (~c2_1(a437)) | (~c3_1(a437)) | (~c0_1(a437)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a486) | c1_1(a486) | c0_1(a486)) <=> (c1_1(a486) | c2_1(a486) | c0_1(a486) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c0_1(a437)) | (~c3_1(a437)) | (~c2_1(a437)))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1570,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a437)) | (~c3_1(a437)) | (~c0_1(a437)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a486) | c1_1(a486) | c0_1(a486))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a486) | c2_1(a486) | c0_1(a486) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c0_1(a437)) | (~c3_1(a437)) | (~c2_1(a437))))),
% 1.28/1.15 inference(monotonicity,[status(thm)],[1569])).
% 1.28/1.15 tff(1571,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a437)) | (~c3_1(a437)) | (~c0_1(a437)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a486) | c1_1(a486) | c0_1(a486))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a486) | c2_1(a486) | c0_1(a486) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c0_1(a437)) | (~c3_1(a437)) | (~c2_1(a437)))),
% 1.28/1.15 inference(transitivity,[status(thm)],[1570, 1568])).
% 1.28/1.15 tff(1572,plain,
% 1.28/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a437)) | (~c3_1(a437)) | (~c0_1(a437)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a486) | c1_1(a486) | c0_1(a486))),
% 1.28/1.15 inference(quant_inst,[status(thm)],[])).
% 1.28/1.15 tff(1573,plain,
% 1.28/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c1_1(a486) | c2_1(a486) | c0_1(a486) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c0_1(a437)) | (~c3_1(a437)) | (~c2_1(a437))),
% 1.28/1.15 inference(modus_ponens,[status(thm)],[1572, 1571])).
% 1.28/1.15 tff(1574,plain,
% 1.28/1.15 ($false),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1573, 219, 1567, 1556, 1545, 1315, 1341, 190, 40, 1314, 1313, 74])).
% 1.28/1.15 tff(1575,plain,(c1_1(a486) | c0_1(a486) | c0_1(a445) | (~c1_1(a456)) | (~c2_1(a456)) | (~c1_1(a450)) | (~c3_1(a450)) | c0_1(a450) | (~c1_1(a448)) | c0_1(a448) | c2_1(a448) | hskp8 | (~c0_1(a456))), inference(lemma,lemma(discharge,[]))).
% 1.28/1.15 tff(1576,plain,
% 1.28/1.15 (c1_1(a486)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1575, 190, 40, 1072, 1074, 1309, 1308, 1307, 1258, 1257, 1256, 32, 1071])).
% 1.28/1.15 tff(1577,assumption,(~c2_1(a486)), introduced(assumption)).
% 1.28/1.15 tff(1578,plain,
% 1.28/1.15 (~hskp24),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[136, 1577])).
% 1.28/1.15 tff(1579,plain,
% 1.28/1.15 (~c3_1(a456)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1333, 1578])).
% 1.28/1.15 tff(1580,assumption,(~c2_1(a450)), introduced(assumption)).
% 1.28/1.15 tff(1581,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | c3_1(a486) | (~c1_1(a486)))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1582,plain,
% 1.28/1.15 (((~ndr1_0) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486))) <=> (c0_1(a486) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | c3_1(a486) | (~c1_1(a486)))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1583,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | c3_1(a486) | (~c1_1(a486))))),
% 1.28/1.15 inference(monotonicity,[status(thm)],[1582])).
% 1.28/1.15 tff(1584,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | c3_1(a486) | (~c1_1(a486)))),
% 1.28/1.15 inference(transitivity,[status(thm)],[1583, 1581])).
% 1.28/1.15 tff(1585,plain,
% 1.28/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c1_1(a456)) | (~c0_1(a456)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))),
% 1.28/1.15 inference(quant_inst,[status(thm)],[])).
% 1.28/1.15 tff(1586,plain,
% 1.28/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | (~ndr1_0) | (~c0_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | c3_1(a486) | (~c1_1(a486))),
% 1.28/1.15 inference(modus_ponens,[status(thm)],[1585, 1584])).
% 1.28/1.15 tff(1587,plain,
% 1.28/1.15 (c3_1(a486)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1586, 219, 1071, 1072, 189, 1309, 1308, 190, 1190, 1579, 1580])).
% 1.28/1.15 tff(1588,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a486) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a445)) | (~c1_1(a486)) | (~c3_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a486) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a445)) | (~c1_1(a486)) | (~c3_1(a486)))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1589,plain,
% 1.28/1.15 (((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a486) | (~c3_1(a486)) | (~c1_1(a486)) | c1_1(a445) | c0_1(a445) | (~c2_1(a445))) <=> (c0_1(a486) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a445)) | (~c1_1(a486)) | (~c3_1(a486)))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1590,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a486) | (~c3_1(a486)) | (~c1_1(a486)) | c1_1(a445) | c0_1(a445) | (~c2_1(a445)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a486) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a445)) | (~c1_1(a486)) | (~c3_1(a486))))),
% 1.28/1.15 inference(monotonicity,[status(thm)],[1589])).
% 1.28/1.15 tff(1591,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a486) | (~c3_1(a486)) | (~c1_1(a486)) | c1_1(a445) | c0_1(a445) | (~c2_1(a445)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a486) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a445)) | (~c1_1(a486)) | (~c3_1(a486)))),
% 1.28/1.15 inference(transitivity,[status(thm)],[1590, 1588])).
% 1.28/1.15 tff(1592,plain,
% 1.28/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a486) | (~c3_1(a486)) | (~c1_1(a486)) | c1_1(a445) | c0_1(a445) | (~c2_1(a445)))),
% 1.28/1.15 inference(quant_inst,[status(thm)],[])).
% 1.28/1.15 tff(1593,plain,
% 1.28/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a486) | c0_1(a445) | c1_1(a445) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | (~c2_1(a445)) | (~c1_1(a486)) | (~c3_1(a486))),
% 1.28/1.15 inference(modus_ponens,[status(thm)],[1592, 1591])).
% 1.28/1.15 tff(1594,plain,
% 1.28/1.15 (~c2_1(a445)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1593, 219, 1072, 1074, 189, 190, 40, 52, 158, 1587, 1579])).
% 1.28/1.15 tff(1595,plain,
% 1.28/1.15 (hskp19),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1378, 219, 1072, 1074, 52, 51, 1372, 1579, 1594])).
% 1.28/1.15 tff(1596,plain,
% 1.28/1.15 (~c2_1(a467)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1384, 1595])).
% 1.28/1.15 tff(1597,plain,
% 1.28/1.15 (~c1_1(a467)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1390, 1595])).
% 1.28/1.15 tff(1598,plain,
% 1.28/1.15 (c0_1(a467)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1401, 1595])).
% 1.28/1.15 tff(1599,plain,
% 1.28/1.15 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp11 | c2_1(a486) | c0_1(a486) | c1_1(a467) | c2_1(a467) | (~ndr1_0) | (~c0_1(a467)) | (~c1_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | hskp11 | c2_1(a486) | c0_1(a486) | c1_1(a467) | c2_1(a467) | (~ndr1_0) | (~c0_1(a467)) | (~c1_1(a486)))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1600,plain,
% 1.28/1.15 ((hskp11 | (~ndr1_0) | c2_1(a467) | c1_1(a467) | (~c0_1(a467)) | c2_1(a486) | c0_1(a486) | (~c1_1(a486))) <=> (hskp11 | c2_1(a486) | c0_1(a486) | c1_1(a467) | c2_1(a467) | (~ndr1_0) | (~c0_1(a467)) | (~c1_1(a486)))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1601,plain,
% 1.28/1.15 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a467) | c1_1(a467) | (~c0_1(a467)) | c2_1(a486) | c0_1(a486) | (~c1_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp11 | c2_1(a486) | c0_1(a486) | c1_1(a467) | c2_1(a467) | (~ndr1_0) | (~c0_1(a467)) | (~c1_1(a486))))),
% 1.28/1.15 inference(monotonicity,[status(thm)],[1600])).
% 1.28/1.15 tff(1602,plain,
% 1.28/1.15 (((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a467) | c1_1(a467) | (~c0_1(a467)) | c2_1(a486) | c0_1(a486) | (~c1_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | hskp11 | c2_1(a486) | c0_1(a486) | c1_1(a467) | c2_1(a467) | (~ndr1_0) | (~c0_1(a467)) | (~c1_1(a486)))),
% 1.28/1.15 inference(transitivity,[status(thm)],[1601, 1599])).
% 1.28/1.15 tff(1603,plain,
% 1.28/1.15 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | (hskp11 | (~ndr1_0) | c2_1(a467) | c1_1(a467) | (~c0_1(a467)) | c2_1(a486) | c0_1(a486) | (~c1_1(a486)))),
% 1.28/1.15 inference(quant_inst,[status(thm)],[])).
% 1.28/1.15 tff(1604,plain,
% 1.28/1.15 ((~![V: $i, U: $i] : (hskp11 | (~ndr1_0) | c2_1(U) | c1_1(U) | (~c0_1(U)) | c2_1(V) | c0_1(V) | (~c1_1(V)))) | hskp11 | c2_1(a486) | c0_1(a486) | c1_1(a467) | c2_1(a467) | (~ndr1_0) | (~c0_1(a467)) | (~c1_1(a486))),
% 1.28/1.15 inference(modus_ponens,[status(thm)],[1603, 1602])).
% 1.28/1.15 tff(1605,plain,
% 1.28/1.15 (hskp11),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1604, 219, 189, 1577, 1598, 190, 1597, 1596, 1361])).
% 1.28/1.15 tff(1606,plain,
% 1.28/1.15 (~c1_1(a449)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1414, 1605])).
% 1.28/1.15 tff(1607,plain,
% 1.28/1.15 (c2_1(a449)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1425, 1605])).
% 1.28/1.15 tff(1608,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a486) | c1_1(a449) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c0_1(a449) | (~c2_1(a449)) | (~c1_1(a486)) | (~c3_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a486) | c1_1(a449) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c0_1(a449) | (~c2_1(a449)) | (~c1_1(a486)) | (~c3_1(a486)))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1609,plain,
% 1.28/1.15 (((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a486) | (~c3_1(a486)) | (~c1_1(a486)) | c1_1(a449) | c0_1(a449) | (~c2_1(a449))) <=> (c0_1(a486) | c1_1(a449) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c0_1(a449) | (~c2_1(a449)) | (~c1_1(a486)) | (~c3_1(a486)))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1610,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a486) | (~c3_1(a486)) | (~c1_1(a486)) | c1_1(a449) | c0_1(a449) | (~c2_1(a449)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | (c0_1(a486) | c1_1(a449) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c0_1(a449) | (~c2_1(a449)) | (~c1_1(a486)) | (~c3_1(a486))))),
% 1.28/1.15 inference(monotonicity,[status(thm)],[1609])).
% 1.28/1.15 tff(1611,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a486) | (~c3_1(a486)) | (~c1_1(a486)) | c1_1(a449) | c0_1(a449) | (~c2_1(a449)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a486) | c1_1(a449) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c0_1(a449) | (~c2_1(a449)) | (~c1_1(a486)) | (~c3_1(a486)))),
% 1.28/1.15 inference(transitivity,[status(thm)],[1610, 1608])).
% 1.28/1.15 tff(1612,plain,
% 1.28/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | ((~ndr1_0) | c3_1(a456) | (~c2_1(a456)) | (~c1_1(a456)) | c0_1(a486) | (~c3_1(a486)) | (~c1_1(a486)) | c1_1(a449) | c0_1(a449) | (~c2_1(a449)))),
% 1.28/1.15 inference(quant_inst,[status(thm)],[])).
% 1.28/1.15 tff(1613,plain,
% 1.28/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c2_1(U)) | (~c1_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)) | c1_1(W) | c0_1(W) | (~c2_1(W)))) | c0_1(a486) | c1_1(a449) | (~ndr1_0) | (~c2_1(a456)) | c3_1(a456) | (~c1_1(a456)) | c0_1(a449) | (~c2_1(a449)) | (~c1_1(a486)) | (~c3_1(a486))),
% 1.28/1.15 inference(modus_ponens,[status(thm)],[1612, 1611])).
% 1.28/1.15 tff(1614,plain,
% 1.28/1.15 (c0_1(a449)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1613, 219, 1072, 1074, 189, 1607, 190, 1606, 158, 1587, 1579])).
% 1.28/1.15 tff(1615,plain,
% 1.28/1.15 (~hskp23),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1479, 1614, 1607, 1606, 1578])).
% 1.28/1.15 tff(1616,plain,
% 1.28/1.15 (~c3_1(a449)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1495, 1605])).
% 1.28/1.15 tff(1617,plain,
% 1.28/1.15 (hskp23 | hskp7),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1502, 219, 1607, 1606, 1616, 1490])).
% 1.28/1.15 tff(1618,plain,
% 1.28/1.15 (hskp7),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1617, 1615])).
% 1.28/1.15 tff(1619,plain,
% 1.28/1.15 (~c2_1(a443)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1509, 1618])).
% 1.28/1.15 tff(1620,plain,
% 1.28/1.15 (~c1_1(a443)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1515, 1618])).
% 1.28/1.15 tff(1621,plain,
% 1.28/1.15 (c3_1(a443)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1526, 1618])).
% 1.28/1.15 tff(1622,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a467) | c2_1(a467) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c3_1(a443)) | (~c0_1(a443)) | (~c0_1(a467)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a467) | c2_1(a467) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c3_1(a443)) | (~c0_1(a443)) | (~c0_1(a467)))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1623,plain,
% 1.28/1.15 (((~ndr1_0) | c2_1(a443) | (~c3_1(a443)) | (~c0_1(a443)) | c1_1(a443) | (~c3_1(a443)) | (~c0_1(a443)) | c2_1(a467) | c1_1(a467) | (~c0_1(a467))) <=> (c1_1(a467) | c2_1(a467) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c3_1(a443)) | (~c0_1(a443)) | (~c0_1(a467)))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1624,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a443) | (~c3_1(a443)) | (~c0_1(a443)) | c1_1(a443) | (~c3_1(a443)) | (~c0_1(a443)) | c2_1(a467) | c1_1(a467) | (~c0_1(a467)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | (c1_1(a467) | c2_1(a467) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c3_1(a443)) | (~c0_1(a443)) | (~c0_1(a467))))),
% 1.28/1.15 inference(monotonicity,[status(thm)],[1623])).
% 1.28/1.15 tff(1625,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a443) | (~c3_1(a443)) | (~c0_1(a443)) | c1_1(a443) | (~c3_1(a443)) | (~c0_1(a443)) | c2_1(a467) | c1_1(a467) | (~c0_1(a467)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a467) | c2_1(a467) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c3_1(a443)) | (~c0_1(a443)) | (~c0_1(a467)))),
% 1.28/1.15 inference(transitivity,[status(thm)],[1624, 1622])).
% 1.28/1.15 tff(1626,plain,
% 1.28/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c2_1(a443) | (~c3_1(a443)) | (~c0_1(a443)) | c1_1(a443) | (~c3_1(a443)) | (~c0_1(a443)) | c2_1(a467) | c1_1(a467) | (~c0_1(a467)))),
% 1.28/1.15 inference(quant_inst,[status(thm)],[])).
% 1.28/1.15 tff(1627,plain,
% 1.28/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)) | (~c0_1(V)) | c2_1(W) | c1_1(W) | (~c0_1(W)))) | c1_1(a467) | c2_1(a467) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c3_1(a443)) | (~c0_1(a443)) | (~c0_1(a467))),
% 1.28/1.15 inference(modus_ponens,[status(thm)],[1626, 1625])).
% 1.28/1.15 tff(1628,plain,
% 1.28/1.15 (~c0_1(a443)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1627, 219, 1598, 1621, 1597, 1596, 1620, 1619, 1282])).
% 1.28/1.15 tff(1629,plain,
% 1.28/1.15 (hskp28),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1533, 219, 1598, 1621, 1597, 1596, 1620, 1619, 1351])).
% 1.28/1.15 tff(1630,plain,
% 1.28/1.15 (c3_1(a437)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1544, 1629])).
% 1.28/1.15 tff(1631,plain,
% 1.28/1.15 (c2_1(a437)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1555, 1629])).
% 1.28/1.15 tff(1632,plain,
% 1.28/1.15 (c0_1(a437)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1566, 1629])).
% 1.28/1.15 tff(1633,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a445) | c1_1(a445) | c3_1(a445) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c0_1(a437)) | (~c3_1(a437)) | (~c2_1(a437)) | c0_1(a443))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a445) | c1_1(a445) | c3_1(a445) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c0_1(a437)) | (~c3_1(a437)) | (~c2_1(a437)) | c0_1(a443))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1634,plain,
% 1.28/1.15 (((~ndr1_0) | (~c2_1(a437)) | (~c3_1(a437)) | (~c0_1(a437)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a443) | c1_1(a443) | c0_1(a443)) <=> (c0_1(a445) | c1_1(a445) | c3_1(a445) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c0_1(a437)) | (~c3_1(a437)) | (~c2_1(a437)) | c0_1(a443))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1635,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a437)) | (~c3_1(a437)) | (~c0_1(a437)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a443) | c1_1(a443) | c0_1(a443))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a445) | c1_1(a445) | c3_1(a445) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c0_1(a437)) | (~c3_1(a437)) | (~c2_1(a437)) | c0_1(a443)))),
% 1.28/1.15 inference(monotonicity,[status(thm)],[1634])).
% 1.28/1.15 tff(1636,plain,
% 1.28/1.15 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a437)) | (~c3_1(a437)) | (~c0_1(a437)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a443) | c1_1(a443) | c0_1(a443))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a445) | c1_1(a445) | c3_1(a445) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c0_1(a437)) | (~c3_1(a437)) | (~c2_1(a437)) | c0_1(a443))),
% 1.28/1.15 inference(transitivity,[status(thm)],[1635, 1633])).
% 1.28/1.15 tff(1637,plain,
% 1.28/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a437)) | (~c3_1(a437)) | (~c0_1(a437)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a443) | c1_1(a443) | c0_1(a443))),
% 1.28/1.15 inference(quant_inst,[status(thm)],[])).
% 1.28/1.15 tff(1638,plain,
% 1.28/1.15 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a445) | c1_1(a445) | c3_1(a445) | c1_1(a443) | c2_1(a443) | (~ndr1_0) | (~c0_1(a437)) | (~c3_1(a437)) | (~c2_1(a437)) | c0_1(a443)),
% 1.28/1.15 inference(modus_ponens,[status(thm)],[1637, 1636])).
% 1.28/1.15 tff(1639,plain,
% 1.28/1.15 ($false),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1638, 219, 1632, 1631, 1630, 40, 52, 51, 1620, 1619, 74, 1628])).
% 1.28/1.15 tff(1640,plain,(c2_1(a486) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~c1_1(a456)) | (~c2_1(a456)) | (~c1_1(a486)) | c0_1(a486) | (~c0_1(a456)) | (~c1_1(a450)) | (~c3_1(a450)) | c2_1(a450) | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.28/1.15 tff(1641,plain,
% 1.28/1.15 (c2_1(a486)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1640, 1576, 1314, 1313, 1072, 1074, 40, 190, 1071, 1309, 1308, 1311, 32])).
% 1.28/1.15 tff(1642,plain,
% 1.28/1.15 ((~c1_1(a486)) | (~c2_1(a486)) | (~c3_1(a486))),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[270, 219, 32, 190, 264])).
% 1.28/1.15 tff(1643,plain,
% 1.28/1.15 (~c3_1(a486)),
% 1.28/1.15 inference(unit_resolution,[status(thm)],[1642, 1641, 1576])).
% 1.28/1.15 tff(1644,plain,
% 1.28/1.15 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp6 | c0_1(a486) | (~ndr1_0) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp6 | c0_1(a486) | (~ndr1_0) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1645,plain,
% 1.28/1.15 ((hskp6 | (~ndr1_0) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486))) <=> (hskp6 | c0_1(a486) | (~ndr1_0) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.28/1.15 inference(rewrite,[status(thm)],[])).
% 1.28/1.15 tff(1646,plain,
% 1.28/1.15 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp6 | (~ndr1_0) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp6 | c0_1(a486) | (~ndr1_0) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a486)) | (~c2_1(a486))))),
% 1.28/1.15 inference(monotonicity,[status(thm)],[1645])).
% 1.28/1.15 tff(1647,plain,
% 1.28/1.15 (((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp6 | (~ndr1_0) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp6 | c0_1(a486) | (~ndr1_0) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.28/1.16 inference(transitivity,[status(thm)],[1646, 1644])).
% 1.28/1.16 tff(1648,plain,
% 1.28/1.16 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | (hskp6 | (~ndr1_0) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.28/1.16 inference(quant_inst,[status(thm)],[])).
% 1.28/1.16 tff(1649,plain,
% 1.28/1.16 ((~![V: $i, U: $i] : (hskp6 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)))) | hskp6 | c0_1(a486) | (~ndr1_0) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a486)) | (~c2_1(a486))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1648, 1647])).
% 1.28/1.16 tff(1650,plain,
% 1.28/1.16 (hskp6 | (~c1_1(a486)) | (~c2_1(a486))),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1649, 219, 1309, 1308, 190, 178, 1311])).
% 1.28/1.16 tff(1651,plain,
% 1.28/1.16 (hskp6),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1650, 1641, 1576])).
% 1.28/1.16 tff(1652,plain,
% 1.28/1.16 (~c3_1(a442)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[374, 1651])).
% 1.28/1.16 tff(1653,plain,
% 1.28/1.16 (c0_1(a442)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[396, 1651])).
% 1.28/1.16 tff(1654,plain,
% 1.28/1.16 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c3_1(a442) | (~ndr1_0) | (~c1_1(a442)) | (~c0_1(a442)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c3_1(a442) | (~ndr1_0) | (~c1_1(a442)) | (~c0_1(a442)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | c3_1(a486) | (~c1_1(a486)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1655,plain,
% 1.28/1.16 (((~ndr1_0) | c3_1(a442) | (~c1_1(a442)) | (~c0_1(a442)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486))) <=> (c0_1(a486) | c3_1(a442) | (~ndr1_0) | (~c1_1(a442)) | (~c0_1(a442)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | c3_1(a486) | (~c1_1(a486)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1656,plain,
% 1.28/1.16 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a442) | (~c1_1(a442)) | (~c0_1(a442)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c3_1(a442) | (~ndr1_0) | (~c1_1(a442)) | (~c0_1(a442)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | c3_1(a486) | (~c1_1(a486))))),
% 1.28/1.16 inference(monotonicity,[status(thm)],[1655])).
% 1.28/1.16 tff(1657,plain,
% 1.28/1.16 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a442) | (~c1_1(a442)) | (~c0_1(a442)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c3_1(a442) | (~ndr1_0) | (~c1_1(a442)) | (~c0_1(a442)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | c3_1(a486) | (~c1_1(a486)))),
% 1.28/1.16 inference(transitivity,[status(thm)],[1656, 1654])).
% 1.28/1.16 tff(1658,plain,
% 1.28/1.16 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a442) | (~c1_1(a442)) | (~c0_1(a442)) | c2_1(a450) | (~c3_1(a450)) | (~c1_1(a450)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))),
% 1.28/1.16 inference(quant_inst,[status(thm)],[])).
% 1.28/1.16 tff(1659,plain,
% 1.28/1.16 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c3_1(a442) | (~ndr1_0) | (~c1_1(a442)) | (~c0_1(a442)) | (~c1_1(a450)) | c2_1(a450) | (~c3_1(a450)) | c3_1(a486) | (~c1_1(a486))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1658, 1657])).
% 1.28/1.16 tff(1660,plain,
% 1.28/1.16 (~c1_1(a442)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1659, 219, 1576, 1309, 1308, 1653, 190, 1652, 1190, 1643, 1311])).
% 1.28/1.16 tff(1661,plain,
% 1.28/1.16 (c2_1(a442)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[385, 1651])).
% 1.28/1.16 tff(1662,plain,
% 1.28/1.16 ($false),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1218, 219, 1576, 1641, 1661, 190, 1652, 10, 1643, 1660])).
% 1.28/1.16 tff(1663,plain,(c0_1(a486) | (~c1_1(a450)) | (~c3_1(a450)) | hskp8 | (~c1_1(a456)) | (~c2_1(a456)) | c0_1(a445) | (~c0_1(a456)) | c0_1(a450) | (~c1_1(a448)) | c0_1(a448) | c2_1(a448)), inference(lemma,lemma(discharge,[]))).
% 1.28/1.16 tff(1664,plain,
% 1.28/1.16 (c0_1(a486)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1663, 32, 1172, 1233, 1306, 1305, 40, 1304, 1171, 1152, 1141, 1135])).
% 1.28/1.16 tff(1665,plain,
% 1.28/1.16 (~hskp24),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[125, 1664])).
% 1.28/1.16 tff(1666,plain,
% 1.28/1.16 (hskp24 | (~c3_1(a456))),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1332, 219, 32, 1304, 1306, 1326])).
% 1.28/1.16 tff(1667,plain,
% 1.28/1.16 (~c3_1(a456)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1666, 1665])).
% 1.28/1.16 tff(1668,plain,
% 1.28/1.16 (hskp9),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1271, 32, 1152, 1141, 1135])).
% 1.28/1.16 tff(1669,plain,
% 1.28/1.16 (~c1_1(a445)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[621, 1668])).
% 1.28/1.16 tff(1670,plain,
% 1.28/1.16 (~c2_1(a445)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[858, 219, 1306, 1305, 1233, 1172, 1171, 40, 1669, 158, 1667])).
% 1.28/1.16 tff(1671,plain,
% 1.28/1.16 (~c3_1(a445)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[583, 1668])).
% 1.28/1.16 tff(1672,plain,
% 1.28/1.16 (hskp19),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1378, 219, 1306, 1305, 1669, 1671, 1372, 1667, 1670])).
% 1.28/1.16 tff(1673,plain,
% 1.28/1.16 (~c2_1(a467)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1384, 1672])).
% 1.28/1.16 tff(1674,plain,
% 1.28/1.16 (~c1_1(a467)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1390, 1672])).
% 1.28/1.16 tff(1675,plain,
% 1.28/1.16 (c0_1(a467)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1401, 1672])).
% 1.28/1.16 tff(1676,plain,
% 1.28/1.16 (hskp11),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1408, 219, 1675, 1152, 1674, 1673, 1141, 1135, 1361])).
% 1.28/1.16 tff(1677,plain,
% 1.28/1.16 (~c1_1(a449)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1414, 1676])).
% 1.28/1.16 tff(1678,plain,
% 1.28/1.16 (c2_1(a449)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1425, 1676])).
% 1.28/1.16 tff(1679,plain,
% 1.28/1.16 (c0_1(a449)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1432, 219, 1306, 1305, 1233, 1172, 1678, 1171, 1677, 158, 1667])).
% 1.28/1.16 tff(1680,plain,
% 1.28/1.16 (~hskp23),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1479, 1679, 1678, 1677, 1665])).
% 1.28/1.16 tff(1681,plain,
% 1.28/1.16 (~c3_1(a449)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1495, 1676])).
% 1.28/1.16 tff(1682,plain,
% 1.28/1.16 (hskp23 | hskp7),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1502, 219, 1678, 1677, 1681, 1490])).
% 1.28/1.16 tff(1683,plain,
% 1.28/1.16 (hskp7),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1682, 1680])).
% 1.28/1.16 tff(1684,plain,
% 1.28/1.16 (~c2_1(a443)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1509, 1683])).
% 1.28/1.16 tff(1685,plain,
% 1.28/1.16 (~c1_1(a443)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1515, 1683])).
% 1.28/1.16 tff(1686,plain,
% 1.28/1.16 (c3_1(a443)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1526, 1683])).
% 1.28/1.16 tff(1687,plain,
% 1.28/1.16 (~c0_1(a443)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1627, 219, 1675, 1686, 1674, 1673, 1685, 1684, 1282])).
% 1.28/1.16 tff(1688,plain,
% 1.28/1.16 (hskp28),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1533, 219, 1675, 1686, 1674, 1673, 1685, 1684, 1351])).
% 1.28/1.16 tff(1689,plain,
% 1.28/1.16 (c3_1(a437)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1544, 1688])).
% 1.28/1.16 tff(1690,plain,
% 1.28/1.16 (c2_1(a437)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1555, 1688])).
% 1.28/1.16 tff(1691,plain,
% 1.28/1.16 (c0_1(a437)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1566, 1688])).
% 1.28/1.16 tff(1692,plain,
% 1.28/1.16 ($false),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1638, 219, 1691, 1690, 1689, 40, 1669, 1671, 1685, 1684, 74, 1687])).
% 1.28/1.16 tff(1693,plain,(hskp8 | c0_1(a445) | hskp14), inference(lemma,lemma(discharge,[]))).
% 1.28/1.16 tff(1694,plain,
% 1.28/1.16 (c0_1(a445)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1693, 1255, 53])).
% 1.28/1.16 tff(1695,plain,
% 1.28/1.16 ($false),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[783, 1694, 1272])).
% 1.28/1.16 tff(1696,plain,(hskp14), inference(lemma,lemma(discharge,[]))).
% 1.28/1.16 tff(1697,plain,
% 1.28/1.16 (((~hskp14) | (~c2_1(a452))) <=> ((~hskp14) | (~c2_1(a452)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1698,plain,
% 1.28/1.16 (((~c2_1(a452)) | (~hskp14)) <=> ((~hskp14) | (~c2_1(a452)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1699,axiom,((~c2_1(a452)) | (~hskp14)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause104')).
% 1.28/1.16 tff(1700,plain,
% 1.28/1.16 ((~hskp14) | (~c2_1(a452))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1699, 1698])).
% 1.28/1.16 tff(1701,plain,
% 1.28/1.16 ((~hskp14) | (~c2_1(a452))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1700, 1697])).
% 1.28/1.16 tff(1702,plain,
% 1.28/1.16 (~c2_1(a452)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1701, 1696])).
% 1.28/1.16 tff(1703,plain,
% 1.28/1.16 (((~hskp14) | c1_1(a452)) <=> ((~hskp14) | c1_1(a452))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1704,axiom,((~hskp14) | c1_1(a452)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause66')).
% 1.28/1.16 tff(1705,plain,
% 1.28/1.16 ((~hskp14) | c1_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1704, 1703])).
% 1.28/1.16 tff(1706,plain,
% 1.28/1.16 ((~hskp14) | c1_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1705, 1703])).
% 1.28/1.16 tff(1707,plain,
% 1.28/1.16 ((~hskp14) | c1_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1706, 1703])).
% 1.28/1.16 tff(1708,plain,
% 1.28/1.16 ((~hskp14) | c1_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1707, 1703])).
% 1.28/1.16 tff(1709,plain,
% 1.28/1.16 ((~hskp14) | c1_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1708, 1703])).
% 1.28/1.16 tff(1710,plain,
% 1.28/1.16 ((~hskp14) | c1_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1709, 1703])).
% 1.28/1.16 tff(1711,plain,
% 1.28/1.16 ((~hskp14) | c1_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1710, 1703])).
% 1.28/1.16 tff(1712,plain,
% 1.28/1.16 ((~hskp14) | c1_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1711, 1703])).
% 1.28/1.16 tff(1713,plain,
% 1.28/1.16 (c1_1(a452)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1712, 1696])).
% 1.28/1.16 tff(1714,plain,
% 1.28/1.16 (((~hskp14) | c0_1(a452)) <=> ((~hskp14) | c0_1(a452))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1715,axiom,((~hskp14) | c0_1(a452)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause65')).
% 1.28/1.16 tff(1716,plain,
% 1.28/1.16 ((~hskp14) | c0_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1715, 1714])).
% 1.28/1.16 tff(1717,plain,
% 1.28/1.16 ((~hskp14) | c0_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1716, 1714])).
% 1.28/1.16 tff(1718,plain,
% 1.28/1.16 ((~hskp14) | c0_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1717, 1714])).
% 1.28/1.16 tff(1719,plain,
% 1.28/1.16 ((~hskp14) | c0_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1718, 1714])).
% 1.28/1.16 tff(1720,plain,
% 1.28/1.16 ((~hskp14) | c0_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1719, 1714])).
% 1.28/1.16 tff(1721,plain,
% 1.28/1.16 ((~hskp14) | c0_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1720, 1714])).
% 1.28/1.16 tff(1722,plain,
% 1.28/1.16 ((~hskp14) | c0_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1721, 1714])).
% 1.28/1.16 tff(1723,plain,
% 1.28/1.16 ((~hskp14) | c0_1(a452)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1722, 1714])).
% 1.28/1.16 tff(1724,plain,
% 1.28/1.16 (c0_1(a452)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1723, 1696])).
% 1.28/1.16 tff(1725,plain,
% 1.28/1.16 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | (hskp3 | c2_1(a452) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452)))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | hskp3 | c2_1(a452) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1726,plain,
% 1.28/1.16 ((hskp3 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c1_1(a445) | c0_1(a445) | c3_1(a445)) <=> (hskp3 | c2_1(a452) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1727,plain,
% 1.28/1.16 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | (hskp3 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c1_1(a445) | c0_1(a445) | c3_1(a445))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | (hskp3 | c2_1(a452) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452))))),
% 1.28/1.16 inference(monotonicity,[status(thm)],[1726])).
% 1.28/1.16 tff(1728,plain,
% 1.28/1.16 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | (hskp3 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c1_1(a445) | c0_1(a445) | c3_1(a445))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | hskp3 | c2_1(a452) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.16 inference(transitivity,[status(thm)],[1727, 1725])).
% 1.28/1.16 tff(1729,plain,
% 1.28/1.16 ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | (hskp3 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c1_1(a445) | c0_1(a445) | c3_1(a445))),
% 1.28/1.16 inference(quant_inst,[status(thm)],[])).
% 1.28/1.16 tff(1730,plain,
% 1.28/1.16 ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | hskp3 | c2_1(a452) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1729, 1728])).
% 1.28/1.16 tff(1731,plain,
% 1.28/1.16 (hskp3),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1730, 219, 1724, 1713, 1702, 40, 52, 51, 20])).
% 1.28/1.16 tff(1732,plain,
% 1.28/1.16 (~c3_1(a435)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[38, 1731])).
% 1.28/1.16 tff(1733,plain,
% 1.28/1.16 (((~hskp3) | (~c0_1(a435))) <=> ((~hskp3) | (~c0_1(a435)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1734,plain,
% 1.28/1.16 (((~c0_1(a435)) | (~hskp3)) <=> ((~hskp3) | (~c0_1(a435)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1735,axiom,((~c0_1(a435)) | (~hskp3)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause122')).
% 1.28/1.16 tff(1736,plain,
% 1.28/1.16 ((~hskp3) | (~c0_1(a435))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1735, 1734])).
% 1.28/1.16 tff(1737,plain,
% 1.28/1.16 ((~hskp3) | (~c0_1(a435))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1736, 1733])).
% 1.28/1.16 tff(1738,plain,
% 1.28/1.16 (~c0_1(a435)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1737, 1731])).
% 1.28/1.16 tff(1739,plain,
% 1.28/1.16 (((~hskp3) | c1_1(a435)) <=> ((~hskp3) | c1_1(a435))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1740,axiom,((~hskp3) | c1_1(a435)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause80')).
% 1.28/1.16 tff(1741,plain,
% 1.28/1.16 ((~hskp3) | c1_1(a435)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1740, 1739])).
% 1.28/1.16 tff(1742,plain,
% 1.28/1.16 ((~hskp3) | c1_1(a435)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1741, 1739])).
% 1.28/1.16 tff(1743,plain,
% 1.28/1.16 ((~hskp3) | c1_1(a435)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1742, 1739])).
% 1.28/1.16 tff(1744,plain,
% 1.28/1.16 ((~hskp3) | c1_1(a435)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1743, 1739])).
% 1.28/1.16 tff(1745,plain,
% 1.28/1.16 ((~hskp3) | c1_1(a435)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1744, 1739])).
% 1.28/1.16 tff(1746,plain,
% 1.28/1.16 ((~hskp3) | c1_1(a435)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1745, 1739])).
% 1.28/1.16 tff(1747,plain,
% 1.28/1.16 ((~hskp3) | c1_1(a435)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1746, 1739])).
% 1.28/1.16 tff(1748,plain,
% 1.28/1.16 ((~hskp3) | c1_1(a435)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1747, 1739])).
% 1.28/1.16 tff(1749,plain,
% 1.28/1.16 (c1_1(a435)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1748, 1731])).
% 1.28/1.16 tff(1750,plain,
% 1.28/1.16 (((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a452)) | (~c0_1(a452)) | (~c1_1(a452)))) <=> ((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a452)) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1751,plain,
% 1.28/1.16 ((hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a452)) | (~c1_1(a452)) | (~c0_1(a452))) <=> (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a452)) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1752,plain,
% 1.28/1.16 (((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a452)) | (~c1_1(a452)) | (~c0_1(a452)))) <=> ((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a452)) | (~c0_1(a452)) | (~c1_1(a452))))),
% 1.28/1.16 inference(monotonicity,[status(thm)],[1751])).
% 1.28/1.16 tff(1753,plain,
% 1.28/1.16 (((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a452)) | (~c1_1(a452)) | (~c0_1(a452)))) <=> ((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a452)) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.16 inference(transitivity,[status(thm)],[1752, 1750])).
% 1.28/1.16 tff(1754,plain,
% 1.28/1.16 ((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a452)) | (~c1_1(a452)) | (~c0_1(a452)))),
% 1.28/1.16 inference(quant_inst,[status(thm)],[])).
% 1.28/1.16 tff(1755,plain,
% 1.28/1.16 ((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a452)) | (~c0_1(a452)) | (~c1_1(a452))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1754, 1753])).
% 1.28/1.16 tff(1756,plain,
% 1.28/1.16 (hskp24 | hskp8 | (~c3_1(a452))),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1755, 219, 1724, 1713, 1326])).
% 1.28/1.16 tff(1757,plain,
% 1.28/1.16 (~c3_1(a452)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1756, 1471, 32])).
% 1.28/1.16 tff(1758,assumption,(~c3_1(a435)), introduced(assumption)).
% 1.28/1.16 tff(1759,assumption,(~c0_1(a435)), introduced(assumption)).
% 1.28/1.16 tff(1760,assumption,(c1_1(a435)), introduced(assumption)).
% 1.28/1.16 tff(1761,assumption,(~c3_1(a452)), introduced(assumption)).
% 1.28/1.16 tff(1762,assumption,(hskp17), introduced(assumption)).
% 1.28/1.16 tff(1763,plain,
% 1.28/1.16 (((~hskp17) | (~c1_1(a463))) <=> ((~hskp17) | (~c1_1(a463)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1764,plain,
% 1.28/1.16 (((~c1_1(a463)) | (~hskp17)) <=> ((~hskp17) | (~c1_1(a463)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1765,axiom,((~c1_1(a463)) | (~hskp17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause100')).
% 1.28/1.16 tff(1766,plain,
% 1.28/1.16 ((~hskp17) | (~c1_1(a463))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1765, 1764])).
% 1.28/1.16 tff(1767,plain,
% 1.28/1.16 ((~hskp17) | (~c1_1(a463))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1766, 1763])).
% 1.28/1.16 tff(1768,plain,
% 1.28/1.16 (~c1_1(a463)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1767, 1762])).
% 1.28/1.16 tff(1769,plain,
% 1.28/1.16 (((~hskp17) | c2_1(a463)) <=> ((~hskp17) | c2_1(a463))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1770,axiom,((~hskp17) | c2_1(a463)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause61')).
% 1.28/1.16 tff(1771,plain,
% 1.28/1.16 ((~hskp17) | c2_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1770, 1769])).
% 1.28/1.16 tff(1772,plain,
% 1.28/1.16 ((~hskp17) | c2_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1771, 1769])).
% 1.28/1.16 tff(1773,plain,
% 1.28/1.16 ((~hskp17) | c2_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1772, 1769])).
% 1.28/1.16 tff(1774,plain,
% 1.28/1.16 ((~hskp17) | c2_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1773, 1769])).
% 1.28/1.16 tff(1775,plain,
% 1.28/1.16 ((~hskp17) | c2_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1774, 1769])).
% 1.28/1.16 tff(1776,plain,
% 1.28/1.16 ((~hskp17) | c2_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1775, 1769])).
% 1.28/1.16 tff(1777,plain,
% 1.28/1.16 ((~hskp17) | c2_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1776, 1769])).
% 1.28/1.16 tff(1778,plain,
% 1.28/1.16 ((~hskp17) | c2_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1777, 1769])).
% 1.28/1.16 tff(1779,plain,
% 1.28/1.16 (c2_1(a463)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1778, 1762])).
% 1.28/1.16 tff(1780,plain,
% 1.28/1.16 (((~hskp17) | c0_1(a463)) <=> ((~hskp17) | c0_1(a463))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1781,axiom,((~hskp17) | c0_1(a463)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause60')).
% 1.28/1.16 tff(1782,plain,
% 1.28/1.16 ((~hskp17) | c0_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1781, 1780])).
% 1.28/1.16 tff(1783,plain,
% 1.28/1.16 ((~hskp17) | c0_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1782, 1780])).
% 1.28/1.16 tff(1784,plain,
% 1.28/1.16 ((~hskp17) | c0_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1783, 1780])).
% 1.28/1.16 tff(1785,plain,
% 1.28/1.16 ((~hskp17) | c0_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1784, 1780])).
% 1.28/1.16 tff(1786,plain,
% 1.28/1.16 ((~hskp17) | c0_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1785, 1780])).
% 1.28/1.16 tff(1787,plain,
% 1.28/1.16 ((~hskp17) | c0_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1786, 1780])).
% 1.28/1.16 tff(1788,plain,
% 1.28/1.16 ((~hskp17) | c0_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1787, 1780])).
% 1.28/1.16 tff(1789,plain,
% 1.28/1.16 ((~hskp17) | c0_1(a463)),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1788, 1780])).
% 1.28/1.16 tff(1790,plain,
% 1.28/1.16 (c0_1(a463)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1789, 1762])).
% 1.28/1.16 tff(1791,plain,
% 1.28/1.16 (((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp24 | c1_1(a463) | c2_1(a452) | (~ndr1_0) | c3_1(a452) | (~c1_1(a452)) | (~c0_1(a463)) | (~c2_1(a463)))) <=> ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | hskp24 | c1_1(a463) | c2_1(a452) | (~ndr1_0) | c3_1(a452) | (~c1_1(a452)) | (~c0_1(a463)) | (~c2_1(a463)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1792,plain,
% 1.28/1.16 ((hskp24 | (~ndr1_0) | c3_1(a452) | c2_1(a452) | (~c1_1(a452)) | c1_1(a463) | (~c0_1(a463)) | (~c2_1(a463))) <=> (hskp24 | c1_1(a463) | c2_1(a452) | (~ndr1_0) | c3_1(a452) | (~c1_1(a452)) | (~c0_1(a463)) | (~c2_1(a463)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1793,plain,
% 1.28/1.16 (((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp24 | (~ndr1_0) | c3_1(a452) | c2_1(a452) | (~c1_1(a452)) | c1_1(a463) | (~c0_1(a463)) | (~c2_1(a463)))) <=> ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp24 | c1_1(a463) | c2_1(a452) | (~ndr1_0) | c3_1(a452) | (~c1_1(a452)) | (~c0_1(a463)) | (~c2_1(a463))))),
% 1.28/1.16 inference(monotonicity,[status(thm)],[1792])).
% 1.28/1.16 tff(1794,plain,
% 1.28/1.16 (((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp24 | (~ndr1_0) | c3_1(a452) | c2_1(a452) | (~c1_1(a452)) | c1_1(a463) | (~c0_1(a463)) | (~c2_1(a463)))) <=> ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | hskp24 | c1_1(a463) | c2_1(a452) | (~ndr1_0) | c3_1(a452) | (~c1_1(a452)) | (~c0_1(a463)) | (~c2_1(a463)))),
% 1.28/1.16 inference(transitivity,[status(thm)],[1793, 1791])).
% 1.28/1.16 tff(1795,plain,
% 1.28/1.16 ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp24 | (~ndr1_0) | c3_1(a452) | c2_1(a452) | (~c1_1(a452)) | c1_1(a463) | (~c0_1(a463)) | (~c2_1(a463)))),
% 1.28/1.16 inference(quant_inst,[status(thm)],[])).
% 1.28/1.16 tff(1796,plain,
% 1.28/1.16 ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | hskp24 | c1_1(a463) | c2_1(a452) | (~ndr1_0) | c3_1(a452) | (~c1_1(a452)) | (~c0_1(a463)) | (~c2_1(a463))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1795, 1794])).
% 1.28/1.16 tff(1797,plain,
% 1.28/1.16 ($false),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1796, 219, 1471, 1790, 1779, 1713, 1768, 1702, 1444, 1761])).
% 1.28/1.16 tff(1798,plain,((~hskp17) | hskp24 | c3_1(a452)), inference(lemma,lemma(discharge,[]))).
% 1.28/1.16 tff(1799,plain,
% 1.28/1.16 (~hskp17),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1798, 1471, 1757])).
% 1.28/1.16 tff(1800,plain,
% 1.28/1.16 (^[V: $i, U: $i] : refl((hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))) <=> (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))))),
% 1.28/1.16 inference(bind,[status(th)],[])).
% 1.28/1.16 tff(1801,plain,
% 1.28/1.16 (![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.28/1.16 inference(quant_intro,[status(thm)],[1800])).
% 1.28/1.16 tff(1802,plain,
% 1.28/1.16 (![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1803,plain,
% 1.28/1.16 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | 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))) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | 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))) | (~ndr1_0)) | (~c2_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) | (~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)) | c0_1(V) | c3_1(V) | (~c2_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_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) | c3_1(V) | (~c2_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | hskp17) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))) | hskp17))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V))) | hskp17) <=> (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | hskp17) <=> (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))))),
% 1.28/1.16 inference(bind,[status(th)],[])).
% 1.28/1.16 tff(1804,plain,
% 1.28/1.16 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | hskp17) <=> ![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.28/1.16 inference(quant_intro,[status(thm)],[1803])).
% 1.28/1.16 tff(1805,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | hskp17)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause174')).
% 1.28/1.16 tff(1806,plain,
% 1.28/1.16 (![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1805, 1804])).
% 1.28/1.16 tff(1807,plain,
% 1.28/1.16 (![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1806, 1802])).
% 1.28/1.16 tff(1808,plain,(
% 1.28/1.16 ![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.28/1.16 inference(skolemize,[status(sab)],[1807])).
% 1.28/1.16 tff(1809,plain,
% 1.28/1.16 (![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1808, 1801])).
% 1.28/1.16 tff(1810,plain,
% 1.28/1.16 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp17 | c2_1(a452) | c0_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c0_1(a452)) | (~c1_1(a452)))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp17 | c2_1(a452) | c0_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1811,plain,
% 1.28/1.16 ((hskp17 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c0_1(a445) | c3_1(a445) | (~c2_1(a445))) <=> (hskp17 | c2_1(a452) | c0_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1812,plain,
% 1.28/1.16 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp17 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c0_1(a445) | c3_1(a445) | (~c2_1(a445)))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp17 | c2_1(a452) | c0_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c0_1(a452)) | (~c1_1(a452))))),
% 1.28/1.16 inference(monotonicity,[status(thm)],[1811])).
% 1.28/1.16 tff(1813,plain,
% 1.28/1.16 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp17 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c0_1(a445) | c3_1(a445) | (~c2_1(a445)))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp17 | c2_1(a452) | c0_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.16 inference(transitivity,[status(thm)],[1812, 1810])).
% 1.28/1.16 tff(1814,plain,
% 1.28/1.16 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp17 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c0_1(a445) | c3_1(a445) | (~c2_1(a445)))),
% 1.28/1.16 inference(quant_inst,[status(thm)],[])).
% 1.28/1.16 tff(1815,plain,
% 1.28/1.16 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp17 | c2_1(a452) | c0_1(a445) | c3_1(a445) | (~ndr1_0) | (~c2_1(a445)) | (~c0_1(a452)) | (~c1_1(a452))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1814, 1813])).
% 1.28/1.16 tff(1816,plain,
% 1.28/1.16 (hskp17 | c3_1(a445) | (~c2_1(a445))),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1815, 219, 1724, 1713, 1702, 40, 1809])).
% 1.28/1.16 tff(1817,plain,
% 1.28/1.16 (~c2_1(a445)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1816, 1799, 51])).
% 1.28/1.16 tff(1818,plain,
% 1.28/1.16 (hskp29 | hskp10 | c3_1(a445) | c2_1(a445)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[500, 219, 40, 494])).
% 1.28/1.16 tff(1819,plain,
% 1.28/1.16 (hskp29),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1818, 1817, 51, 54])).
% 1.28/1.16 tff(1820,plain,
% 1.28/1.16 (c3_1(a447)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[512, 1819])).
% 1.28/1.16 tff(1821,plain,
% 1.28/1.16 (c1_1(a447)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[558, 1819])).
% 1.28/1.16 tff(1822,plain,
% 1.28/1.16 (((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)))) <=> ((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)))),
% 1.28/1.16 inference(rewrite,[status(thm)],[])).
% 1.28/1.16 tff(1823,plain,
% 1.28/1.16 ((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a447)) | (~c1_1(a447)) | (~c0_1(a447)))),
% 1.28/1.16 inference(quant_inst,[status(thm)],[])).
% 1.28/1.16 tff(1824,plain,
% 1.28/1.16 ((~![U: $i] : (hskp24 | hskp8 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp24 | hskp8 | (~ndr1_0) | (~c3_1(a447)) | (~c1_1(a447)) | (~c0_1(a447))),
% 1.28/1.16 inference(modus_ponens,[status(thm)],[1823, 1822])).
% 1.28/1.16 tff(1825,plain,
% 1.28/1.16 (~c0_1(a447)),
% 1.28/1.16 inference(unit_resolution,[status(thm)],[1824, 219, 1471, 32, 1821, 1820, 1326])).
% 1.28/1.17 tff(1826,plain,
% 1.28/1.17 (^[U: $i] : refl((hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))) <=> (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))))),
% 1.28/1.17 inference(bind,[status(th)],[])).
% 1.28/1.17 tff(1827,plain,
% 1.28/1.17 (![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))) <=> ![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.28/1.17 inference(quant_intro,[status(thm)],[1826])).
% 1.28/1.17 tff(1828,plain,
% 1.28/1.17 (![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))) <=> ![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.28/1.17 inference(rewrite,[status(thm)],[])).
% 1.28/1.17 tff(1829,plain,
% 1.28/1.17 (^[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)) | c0_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp8) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp8))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp8) <=> (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp8) <=> (hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp8) | hskp0) <=> ((hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp0))), rewrite(((hskp8 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp0) <=> (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp8) | hskp0) <=> (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))))),
% 1.28/1.17 inference(bind,[status(th)],[])).
% 1.28/1.17 tff(1830,plain,
% 1.28/1.17 (![U: $i] : ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp8) | hskp0) <=> ![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.28/1.17 inference(quant_intro,[status(thm)],[1829])).
% 1.28/1.17 tff(1831,axiom,(![U: $i] : ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp8) | hskp0)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause145')).
% 1.28/1.17 tff(1832,plain,
% 1.28/1.17 (![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.28/1.17 inference(modus_ponens,[status(thm)],[1831, 1830])).
% 1.28/1.17 tff(1833,plain,
% 1.28/1.17 (![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.28/1.17 inference(modus_ponens,[status(thm)],[1832, 1828])).
% 1.28/1.17 tff(1834,plain,(
% 1.28/1.17 ![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.28/1.17 inference(skolemize,[status(sab)],[1833])).
% 1.28/1.17 tff(1835,plain,
% 1.28/1.17 (![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 1.28/1.17 inference(modus_ponens,[status(thm)],[1834, 1827])).
% 1.28/1.17 tff(1836,plain,
% 1.28/1.17 (c2_1(a447)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[523, 1819])).
% 1.28/1.17 tff(1837,plain,
% 1.28/1.17 (((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp8 | hskp0 | (~ndr1_0) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))) <=> ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp8 | hskp0 | (~ndr1_0) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.28/1.17 inference(rewrite,[status(thm)],[])).
% 1.28/1.17 tff(1838,plain,
% 1.28/1.17 ((hskp8 | hskp0 | (~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447))) <=> (hskp8 | hskp0 | (~ndr1_0) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.28/1.17 inference(rewrite,[status(thm)],[])).
% 1.28/1.17 tff(1839,plain,
% 1.28/1.17 (((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp8 | hskp0 | (~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)))) <=> ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp8 | hskp0 | (~ndr1_0) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447))))),
% 1.28/1.17 inference(monotonicity,[status(thm)],[1838])).
% 1.28/1.17 tff(1840,plain,
% 1.28/1.17 (((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp8 | hskp0 | (~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)))) <=> ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp8 | hskp0 | (~ndr1_0) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.28/1.17 inference(transitivity,[status(thm)],[1839, 1837])).
% 1.28/1.17 tff(1841,plain,
% 1.28/1.17 ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp8 | hskp0 | (~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)))),
% 1.28/1.17 inference(quant_inst,[status(thm)],[])).
% 1.28/1.17 tff(1842,plain,
% 1.28/1.17 ((~![U: $i] : (hskp8 | hskp0 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp8 | hskp0 | (~ndr1_0) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447))),
% 1.28/1.17 inference(modus_ponens,[status(thm)],[1841, 1840])).
% 1.28/1.17 tff(1843,plain,
% 1.28/1.17 (hskp0),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[1842, 219, 32, 1836, 1820, 1835, 1825])).
% 1.28/1.17 tff(1844,plain,
% 1.28/1.17 (~c2_1(a432)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[309, 1843])).
% 1.28/1.17 tff(1845,plain,
% 1.28/1.17 (~c0_1(a432)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[315, 1843])).
% 1.28/1.17 tff(1846,plain,
% 1.28/1.17 (c3_1(a432)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[326, 1843])).
% 1.28/1.17 tff(1847,plain,
% 1.28/1.17 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a435) | c3_1(a435) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | (~c1_1(a435)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a435) | c3_1(a435) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | (~c1_1(a435)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.28/1.17 inference(rewrite,[status(thm)],[])).
% 1.28/1.17 tff(1848,plain,
% 1.28/1.17 (((~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432))) <=> (c0_1(a435) | c3_1(a435) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | (~c1_1(a435)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.28/1.17 inference(rewrite,[status(thm)],[])).
% 1.28/1.17 tff(1849,plain,
% 1.28/1.17 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a435) | c3_1(a435) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | (~c1_1(a435)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447))))),
% 1.28/1.17 inference(monotonicity,[status(thm)],[1848])).
% 1.28/1.17 tff(1850,plain,
% 1.28/1.17 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a435) | c3_1(a435) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | (~c1_1(a435)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.28/1.17 inference(transitivity,[status(thm)],[1849, 1847])).
% 1.28/1.17 tff(1851,plain,
% 1.28/1.17 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432)))),
% 1.28/1.17 inference(quant_inst,[status(thm)],[])).
% 1.28/1.17 tff(1852,plain,
% 1.28/1.17 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a435) | c3_1(a435) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | (~c1_1(a435)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447))),
% 1.28/1.17 inference(modus_ponens,[status(thm)],[1851, 1850])).
% 1.28/1.17 tff(1853,plain,
% 1.28/1.17 ($false),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[1852, 219, 1836, 1820, 1760, 1846, 1759, 1758, 1845, 1844, 541, 1825])).
% 1.28/1.17 tff(1854,plain,(hskp24 | (~c1_1(a435)) | c0_1(a435) | c3_1(a435) | hskp8 | c3_1(a445) | hskp10 | c0_1(a445)), inference(lemma,lemma(discharge,[]))).
% 1.28/1.17 tff(1855,plain,
% 1.28/1.17 (hskp10),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[1854, 1471, 1759, 1758, 32, 51, 1760, 40])).
% 1.28/1.17 tff(1856,plain,
% 1.28/1.17 (~c2_1(a448)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[1134, 1855])).
% 1.28/1.17 tff(1857,plain,
% 1.28/1.17 (c1_1(a448)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[1151, 1855])).
% 1.28/1.17 tff(1858,plain,
% 1.28/1.17 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c2_1(a448) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c3_1(a448)) | (~c1_1(a448)) | c3_1(a452) | (~c0_1(a452)) | (~c1_1(a452)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c2_1(a448) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c3_1(a448)) | (~c1_1(a448)) | c3_1(a452) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.17 inference(rewrite,[status(thm)],[])).
% 1.28/1.17 tff(1859,plain,
% 1.28/1.17 (((~ndr1_0) | c3_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c2_1(a448) | (~c3_1(a448)) | (~c1_1(a448)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435))) <=> (c2_1(a448) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c3_1(a448)) | (~c1_1(a448)) | c3_1(a452) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.17 inference(rewrite,[status(thm)],[])).
% 1.28/1.17 tff(1860,plain,
% 1.28/1.17 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c2_1(a448) | (~c3_1(a448)) | (~c1_1(a448)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c2_1(a448) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c3_1(a448)) | (~c1_1(a448)) | c3_1(a452) | (~c0_1(a452)) | (~c1_1(a452))))),
% 1.28/1.17 inference(monotonicity,[status(thm)],[1859])).
% 1.28/1.17 tff(1861,plain,
% 1.28/1.17 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c2_1(a448) | (~c3_1(a448)) | (~c1_1(a448)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c2_1(a448) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c3_1(a448)) | (~c1_1(a448)) | c3_1(a452) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.17 inference(transitivity,[status(thm)],[1860, 1858])).
% 1.28/1.17 tff(1862,plain,
% 1.28/1.17 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c2_1(a448) | (~c3_1(a448)) | (~c1_1(a448)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)))),
% 1.28/1.17 inference(quant_inst,[status(thm)],[])).
% 1.28/1.17 tff(1863,plain,
% 1.28/1.17 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c2_1(a448) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c3_1(a448)) | (~c1_1(a448)) | c3_1(a452) | (~c0_1(a452)) | (~c1_1(a452))),
% 1.28/1.17 inference(modus_ponens,[status(thm)],[1862, 1861])).
% 1.28/1.17 tff(1864,plain,
% 1.28/1.17 (~c3_1(a448)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[1863, 219, 1724, 1713, 1857, 1760, 1856, 1759, 1758, 1190, 1757])).
% 1.28/1.17 tff(1865,plain,
% 1.28/1.17 (~c0_1(a448)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[1140, 1855])).
% 1.28/1.17 tff(1866,assumption,(~c3_1(a448)), introduced(assumption)).
% 1.28/1.17 tff(1867,assumption,(hskp16), introduced(assumption)).
% 1.28/1.17 tff(1868,plain,
% 1.28/1.17 (~c2_1(a457)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[339, 1867])).
% 1.28/1.17 tff(1869,plain,
% 1.28/1.17 (c3_1(a457)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[350, 1867])).
% 1.28/1.17 tff(1870,plain,
% 1.28/1.17 (c1_1(a457)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[361, 1867])).
% 1.28/1.17 tff(1871,plain,
% 1.28/1.17 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c2_1(a457) | c0_1(a448) | (~ndr1_0) | c3_1(a448) | (~c1_1(a448)) | c3_1(a452) | (~c0_1(a452)) | (~c1_1(a452)) | (~c3_1(a457)) | (~c1_1(a457)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c2_1(a457) | c0_1(a448) | (~ndr1_0) | c3_1(a448) | (~c1_1(a448)) | c3_1(a452) | (~c0_1(a452)) | (~c1_1(a452)) | (~c3_1(a457)) | (~c1_1(a457)))),
% 1.28/1.17 inference(rewrite,[status(thm)],[])).
% 1.28/1.17 tff(1872,plain,
% 1.28/1.17 (((~ndr1_0) | c3_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)) | c0_1(a448) | c3_1(a448) | (~c1_1(a448))) <=> (c2_1(a457) | c0_1(a448) | (~ndr1_0) | c3_1(a448) | (~c1_1(a448)) | c3_1(a452) | (~c0_1(a452)) | (~c1_1(a452)) | (~c3_1(a457)) | (~c1_1(a457)))),
% 1.28/1.17 inference(rewrite,[status(thm)],[])).
% 1.28/1.17 tff(1873,plain,
% 1.28/1.17 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)) | c0_1(a448) | c3_1(a448) | (~c1_1(a448)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c2_1(a457) | c0_1(a448) | (~ndr1_0) | c3_1(a448) | (~c1_1(a448)) | c3_1(a452) | (~c0_1(a452)) | (~c1_1(a452)) | (~c3_1(a457)) | (~c1_1(a457))))),
% 1.28/1.17 inference(monotonicity,[status(thm)],[1872])).
% 1.28/1.17 tff(1874,plain,
% 1.28/1.17 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)) | c0_1(a448) | c3_1(a448) | (~c1_1(a448)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c2_1(a457) | c0_1(a448) | (~ndr1_0) | c3_1(a448) | (~c1_1(a448)) | c3_1(a452) | (~c0_1(a452)) | (~c1_1(a452)) | (~c3_1(a457)) | (~c1_1(a457)))),
% 1.28/1.17 inference(transitivity,[status(thm)],[1873, 1871])).
% 1.28/1.17 tff(1875,plain,
% 1.28/1.17 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c2_1(a457) | (~c3_1(a457)) | (~c1_1(a457)) | c0_1(a448) | c3_1(a448) | (~c1_1(a448)))),
% 1.28/1.17 inference(quant_inst,[status(thm)],[])).
% 1.28/1.17 tff(1876,plain,
% 1.28/1.17 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c2_1(a457) | c0_1(a448) | (~ndr1_0) | c3_1(a448) | (~c1_1(a448)) | c3_1(a452) | (~c0_1(a452)) | (~c1_1(a452)) | (~c3_1(a457)) | (~c1_1(a457))),
% 1.28/1.17 inference(modus_ponens,[status(thm)],[1875, 1874])).
% 1.28/1.17 tff(1877,plain,
% 1.28/1.17 ($false),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[1876, 219, 1870, 1869, 1724, 1713, 1258, 1868, 1257, 1190, 1761, 1866])).
% 1.28/1.17 tff(1878,plain,((~hskp16) | (~c1_1(a448)) | c0_1(a448) | c3_1(a452) | c3_1(a448)), inference(lemma,lemma(discharge,[]))).
% 1.28/1.17 tff(1879,plain,
% 1.28/1.17 (~hskp16),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[1878, 1857, 1865, 1757, 1864])).
% 1.28/1.17 tff(1880,plain,
% 1.28/1.17 (^[U: $i] : refl((hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))))),
% 1.28/1.17 inference(bind,[status(th)],[])).
% 1.28/1.17 tff(1881,plain,
% 1.28/1.17 (![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.28/1.17 inference(quant_intro,[status(thm)],[1880])).
% 1.28/1.17 tff(1882,plain,
% 1.28/1.17 (![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.28/1.17 inference(rewrite,[status(thm)],[])).
% 1.28/1.17 tff(1883,plain,
% 1.28/1.17 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp29) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp29))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp29) <=> (hskp29 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp29) <=> (hskp29 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp29) | hskp16) <=> ((hskp29 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp16))), rewrite(((hskp29 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U))) | hskp16) <=> (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp29) | hskp16) <=> (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))))),
% 1.28/1.17 inference(bind,[status(th)],[])).
% 1.28/1.17 tff(1884,plain,
% 1.28/1.17 (![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp29) | hskp16) <=> ![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.28/1.17 inference(quant_intro,[status(thm)],[1883])).
% 1.28/1.17 tff(1885,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | c2_1(U)) | hskp29) | hskp16)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause148')).
% 1.28/1.17 tff(1886,plain,
% 1.28/1.17 (![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.28/1.17 inference(modus_ponens,[status(thm)],[1885, 1884])).
% 1.28/1.17 tff(1887,plain,
% 1.28/1.17 (![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.28/1.17 inference(modus_ponens,[status(thm)],[1886, 1882])).
% 1.28/1.17 tff(1888,plain,(
% 1.28/1.17 ![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.28/1.17 inference(skolemize,[status(sab)],[1887])).
% 1.28/1.17 tff(1889,plain,
% 1.28/1.17 (![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))),
% 1.28/1.17 inference(modus_ponens,[status(thm)],[1888, 1881])).
% 1.28/1.17 tff(1890,plain,
% 1.28/1.17 (((~![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp29 | hskp16 | c2_1(a452) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452)))) <=> ((~![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp29 | hskp16 | c2_1(a452) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.17 inference(rewrite,[status(thm)],[])).
% 1.28/1.17 tff(1891,plain,
% 1.28/1.17 ((hskp29 | hskp16 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452))) <=> (hskp29 | hskp16 | c2_1(a452) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.17 inference(rewrite,[status(thm)],[])).
% 1.28/1.17 tff(1892,plain,
% 1.28/1.17 (((~![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp29 | hskp16 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)))) <=> ((~![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp29 | hskp16 | c2_1(a452) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452))))),
% 1.28/1.17 inference(monotonicity,[status(thm)],[1891])).
% 1.28/1.17 tff(1893,plain,
% 1.28/1.17 (((~![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp29 | hskp16 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)))) <=> ((~![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp29 | hskp16 | c2_1(a452) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.17 inference(transitivity,[status(thm)],[1892, 1890])).
% 1.28/1.17 tff(1894,plain,
% 1.28/1.17 ((~![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | (hskp29 | hskp16 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)))),
% 1.28/1.17 inference(quant_inst,[status(thm)],[])).
% 1.28/1.17 tff(1895,plain,
% 1.28/1.17 ((~![U: $i] : (hskp29 | hskp16 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)))) | hskp29 | hskp16 | c2_1(a452) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452))),
% 1.28/1.17 inference(modus_ponens,[status(thm)],[1894, 1893])).
% 1.28/1.17 tff(1896,plain,
% 1.28/1.17 (hskp29 | hskp16),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[1895, 219, 1724, 1713, 1702, 1889])).
% 1.28/1.17 tff(1897,plain,
% 1.28/1.17 (hskp29),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[1896, 1879])).
% 1.28/1.17 tff(1898,plain,
% 1.28/1.17 (c3_1(a447)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[512, 1897])).
% 1.28/1.17 tff(1899,plain,
% 1.28/1.17 (c1_1(a447)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[558, 1897])).
% 1.28/1.17 tff(1900,plain,
% 1.28/1.17 (~c0_1(a447)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[1824, 219, 1471, 32, 1899, 1898, 1326])).
% 1.28/1.17 tff(1901,plain,
% 1.28/1.17 (c2_1(a447)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[523, 1897])).
% 1.28/1.17 tff(1902,plain,
% 1.28/1.17 (hskp0),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[1842, 219, 32, 1901, 1898, 1835, 1900])).
% 1.28/1.17 tff(1903,plain,
% 1.28/1.17 (~c2_1(a432)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[309, 1902])).
% 1.28/1.17 tff(1904,plain,
% 1.28/1.17 (~c0_1(a432)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[315, 1902])).
% 1.28/1.17 tff(1905,plain,
% 1.28/1.17 (c3_1(a432)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[326, 1902])).
% 1.28/1.17 tff(1906,plain,
% 1.28/1.17 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a448) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | c3_1(a448) | (~c1_1(a448)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a448) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | c3_1(a448) | (~c1_1(a448)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.28/1.17 inference(rewrite,[status(thm)],[])).
% 1.28/1.17 tff(1907,plain,
% 1.28/1.17 (((~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a448) | c3_1(a448) | (~c1_1(a448)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432))) <=> (c0_1(a448) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | c3_1(a448) | (~c1_1(a448)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.28/1.17 inference(rewrite,[status(thm)],[])).
% 1.28/1.17 tff(1908,plain,
% 1.28/1.17 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a448) | c3_1(a448) | (~c1_1(a448)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a448) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | c3_1(a448) | (~c1_1(a448)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447))))),
% 1.28/1.17 inference(monotonicity,[status(thm)],[1907])).
% 1.28/1.17 tff(1909,plain,
% 1.28/1.17 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a448) | c3_1(a448) | (~c1_1(a448)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a448) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | c3_1(a448) | (~c1_1(a448)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447)))),
% 1.28/1.17 inference(transitivity,[status(thm)],[1908, 1906])).
% 1.28/1.17 tff(1910,plain,
% 1.28/1.17 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c0_1(a447) | (~c2_1(a447)) | (~c3_1(a447)) | c0_1(a448) | c3_1(a448) | (~c1_1(a448)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432)))),
% 1.28/1.17 inference(quant_inst,[status(thm)],[])).
% 1.28/1.17 tff(1911,plain,
% 1.28/1.17 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a448) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | c3_1(a448) | (~c1_1(a448)) | (~c3_1(a447)) | c0_1(a447) | (~c2_1(a447))),
% 1.28/1.17 inference(modus_ponens,[status(thm)],[1910, 1909])).
% 1.28/1.17 tff(1912,plain,
% 1.28/1.17 ($false),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[1911, 219, 1901, 1898, 1857, 1905, 1865, 1904, 1903, 541, 1864, 1900])).
% 1.28/1.17 tff(1913,plain,(hskp24 | hskp8 | (~c1_1(a435)) | c0_1(a435) | c3_1(a435) | c3_1(a445) | c0_1(a445)), inference(lemma,lemma(discharge,[]))).
% 1.28/1.17 tff(1914,plain,
% 1.28/1.17 (hskp24),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[1913, 1749, 32, 1738, 1732, 51, 40])).
% 1.28/1.17 tff(1915,plain,
% 1.28/1.17 (~c0_1(a486)),
% 1.28/1.17 inference(unit_resolution,[status(thm)],[125, 1914])).
% 1.28/1.17 tff(1916,plain,
% 1.28/1.17 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))))),
% 1.28/1.17 inference(bind,[status(th)],[])).
% 1.28/1.17 tff(1917,plain,
% 1.28/1.17 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.28/1.17 inference(quant_intro,[status(thm)],[1916])).
% 1.28/1.17 tff(1918,plain,
% 1.28/1.17 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.28/1.17 inference(rewrite,[status(thm)],[])).
% 1.28/1.17 tff(1919,plain,
% 1.28/1.17 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))) | (~c3_1(W))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W)))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))) | c0_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W)))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))))), ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | (~c3_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | (~c3_1(W)))), ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | (~c3_1(W))))), (((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) | c0_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))), (((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))))),
% 1.28/1.18 inference(bind,[status(th)],[])).
% 1.28/1.18 tff(1920,plain,
% 1.28/1.18 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) | c0_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.28/1.18 inference(quant_intro,[status(thm)],[1919])).
% 1.28/1.18 tff(1921,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c2_1(V))) | (~c3_1(W))) | c1_1(U)) | c0_1(V)) | c0_1(W)) | c2_1(W))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause197')).
% 1.28/1.18 tff(1922,plain,
% 1.28/1.18 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[1921, 1920])).
% 1.28/1.18 tff(1923,plain,
% 1.28/1.18 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[1922, 1918])).
% 1.28/1.18 tff(1924,plain,(
% 1.28/1.18 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.28/1.18 inference(skolemize,[status(sab)],[1923])).
% 1.28/1.18 tff(1925,plain,
% 1.28/1.18 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[1924, 1917])).
% 1.28/1.18 tff(1926,assumption,(hskp24), introduced(assumption)).
% 1.28/1.18 tff(1927,plain,
% 1.28/1.18 (c2_1(a486)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[136, 1926])).
% 1.28/1.18 tff(1928,plain,
% 1.28/1.18 (c1_1(a486)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[147, 1926])).
% 1.28/1.18 tff(1929,plain,
% 1.28/1.18 (~c3_1(a486)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1642, 1927, 1928])).
% 1.28/1.18 tff(1930,plain,
% 1.28/1.18 (hskp0),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[245, 1929, 51, 190, 40, 52, 1928, 1927])).
% 1.28/1.18 tff(1931,plain,
% 1.28/1.18 (~c2_1(a432)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[309, 1930])).
% 1.28/1.18 tff(1932,plain,
% 1.28/1.18 (~c0_1(a432)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[315, 1930])).
% 1.28/1.18 tff(1933,plain,
% 1.28/1.18 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp17 | c0_1(a486) | c2_1(a452) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452)) | c3_1(a486) | (~c2_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp17 | c0_1(a486) | c2_1(a452) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452)) | c3_1(a486) | (~c2_1(a486)))),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(1934,plain,
% 1.28/1.18 ((hskp17 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c0_1(a486) | c3_1(a486) | (~c2_1(a486))) <=> (hskp17 | c0_1(a486) | c2_1(a452) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452)) | c3_1(a486) | (~c2_1(a486)))),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(1935,plain,
% 1.28/1.18 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp17 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c0_1(a486) | c3_1(a486) | (~c2_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp17 | c0_1(a486) | c2_1(a452) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452)) | c3_1(a486) | (~c2_1(a486))))),
% 1.28/1.18 inference(monotonicity,[status(thm)],[1934])).
% 1.28/1.18 tff(1936,plain,
% 1.28/1.18 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp17 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c0_1(a486) | c3_1(a486) | (~c2_1(a486)))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp17 | c0_1(a486) | c2_1(a452) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452)) | c3_1(a486) | (~c2_1(a486)))),
% 1.28/1.18 inference(transitivity,[status(thm)],[1935, 1933])).
% 1.28/1.18 tff(1937,plain,
% 1.28/1.18 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp17 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c0_1(a486) | c3_1(a486) | (~c2_1(a486)))),
% 1.28/1.18 inference(quant_inst,[status(thm)],[])).
% 1.28/1.18 tff(1938,plain,
% 1.28/1.18 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp17 | c0_1(a486) | c2_1(a452) | (~ndr1_0) | (~c0_1(a452)) | (~c1_1(a452)) | c3_1(a486) | (~c2_1(a486))),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[1937, 1936])).
% 1.28/1.18 tff(1939,plain,
% 1.28/1.18 (hskp17 | c3_1(a486) | (~c2_1(a486))),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1938, 219, 1724, 1713, 190, 1702, 1809])).
% 1.28/1.18 tff(1940,plain,
% 1.28/1.18 (hskp17),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1939, 1929, 1927])).
% 1.28/1.18 tff(1941,plain,
% 1.28/1.18 (~c1_1(a463)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1767, 1940])).
% 1.28/1.18 tff(1942,plain,
% 1.28/1.18 (c3_1(a432)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[326, 1930])).
% 1.28/1.18 tff(1943,plain,
% 1.28/1.18 (c0_1(a463)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1789, 1940])).
% 1.28/1.18 tff(1944,plain,
% 1.28/1.18 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a486) | c1_1(a463) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | (~c3_1(a463)) | (~c0_1(a463)) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a486) | c1_1(a463) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | (~c3_1(a463)) | (~c0_1(a463)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(1945,plain,
% 1.28/1.18 (((~ndr1_0) | c1_1(a463) | (~c3_1(a463)) | (~c0_1(a463)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432))) <=> (c0_1(a486) | c1_1(a463) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | (~c3_1(a463)) | (~c0_1(a463)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(1946,plain,
% 1.28/1.18 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c1_1(a463) | (~c3_1(a463)) | (~c0_1(a463)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | (c0_1(a486) | c1_1(a463) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | (~c3_1(a463)) | (~c0_1(a463)) | (~c1_1(a486)) | (~c2_1(a486))))),
% 1.28/1.18 inference(monotonicity,[status(thm)],[1945])).
% 1.28/1.18 tff(1947,plain,
% 1.28/1.18 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c1_1(a463) | (~c3_1(a463)) | (~c0_1(a463)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a486) | c1_1(a463) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | (~c3_1(a463)) | (~c0_1(a463)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.28/1.18 inference(transitivity,[status(thm)],[1946, 1944])).
% 1.28/1.18 tff(1948,plain,
% 1.28/1.18 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c1_1(a463) | (~c3_1(a463)) | (~c0_1(a463)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c2_1(a432) | c0_1(a432) | (~c3_1(a432)))),
% 1.28/1.18 inference(quant_inst,[status(thm)],[])).
% 1.28/1.18 tff(1949,plain,
% 1.28/1.18 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c2_1(W) | c0_1(W) | (~c3_1(W)))) | c0_1(a486) | c1_1(a463) | c0_1(a432) | c2_1(a432) | (~ndr1_0) | (~c3_1(a432)) | (~c3_1(a463)) | (~c0_1(a463)) | (~c1_1(a486)) | (~c2_1(a486))),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[1948, 1947])).
% 1.28/1.18 tff(1950,plain,
% 1.28/1.18 (~c3_1(a463)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1949, 219, 1928, 1927, 1943, 1942, 190, 1941, 1932, 1931, 1925])).
% 1.28/1.18 tff(1951,plain,
% 1.28/1.18 (c2_1(a463)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1778, 1940])).
% 1.28/1.18 tff(1952,plain,
% 1.28/1.18 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c1_1(a463) | (~ndr1_0) | c3_1(a463) | (~c2_1(a463)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c1_1(a463) | (~ndr1_0) | c3_1(a463) | (~c2_1(a463)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(1953,plain,
% 1.28/1.18 (((~ndr1_0) | c3_1(a463) | c1_1(a463) | (~c2_1(a463)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486))) <=> (c0_1(a486) | c1_1(a463) | (~ndr1_0) | c3_1(a463) | (~c2_1(a463)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(1954,plain,
% 1.28/1.18 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a463) | c1_1(a463) | (~c2_1(a463)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c1_1(a463) | (~ndr1_0) | c3_1(a463) | (~c2_1(a463)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486))))),
% 1.28/1.18 inference(monotonicity,[status(thm)],[1953])).
% 1.28/1.18 tff(1955,plain,
% 1.28/1.18 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a463) | c1_1(a463) | (~c2_1(a463)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c1_1(a463) | (~ndr1_0) | c3_1(a463) | (~c2_1(a463)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.28/1.18 inference(transitivity,[status(thm)],[1954, 1952])).
% 1.28/1.18 tff(1956,plain,
% 1.28/1.18 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a463) | c1_1(a463) | (~c2_1(a463)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a486) | c3_1(a486) | (~c1_1(a486)))),
% 1.28/1.18 inference(quant_inst,[status(thm)],[])).
% 1.28/1.18 tff(1957,plain,
% 1.28/1.18 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c1_1(a463) | (~ndr1_0) | c3_1(a463) | (~c2_1(a463)) | c3_1(a486) | (~c1_1(a486)) | (~c2_1(a486))),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[1956, 1955])).
% 1.28/1.18 tff(1958,plain,
% 1.28/1.18 ($false),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1957, 219, 1928, 1927, 1951, 190, 1941, 10, 1929, 1950])).
% 1.28/1.18 tff(1959,plain,((~hskp24) | c0_1(a486) | c3_1(a445) | c0_1(a445) | c1_1(a445) | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.28/1.18 tff(1960,plain,
% 1.28/1.18 ($false),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1959, 1915, 1914, 51, 40, 52, 32])).
% 1.28/1.18 tff(1961,plain,(c1_1(a445) | c3_1(a445) | c0_1(a445) | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.28/1.18 tff(1962,plain,
% 1.28/1.18 (c1_1(a445)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1961, 51, 40, 32])).
% 1.28/1.18 tff(1963,plain,
% 1.28/1.18 (~hskp9),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[621, 1962])).
% 1.28/1.18 tff(1964,plain,
% 1.28/1.18 (hskp9 | (~c1_1(a445)) | (~c2_1(a445))),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[628, 219, 40, 51, 30])).
% 1.28/1.18 tff(1965,plain,
% 1.28/1.18 (~c2_1(a445)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1964, 1963, 1962])).
% 1.28/1.18 tff(1966,plain,
% 1.28/1.18 (hskp15),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[698, 1965, 1963, 1962])).
% 1.28/1.18 tff(1967,plain,
% 1.28/1.18 (~c1_1(a454)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[704, 1966])).
% 1.28/1.18 tff(1968,plain,
% 1.28/1.18 (~c0_1(a454)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[710, 1966])).
% 1.28/1.18 tff(1969,plain,
% 1.28/1.18 (c3_1(a454)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[721, 1966])).
% 1.28/1.18 tff(1970,plain,
% 1.28/1.18 ($false),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[728, 219, 1963, 32, 1969, 1968, 1967, 50])).
% 1.28/1.18 tff(1971,plain,(c3_1(a445) | hskp8 | c0_1(a445)), inference(lemma,lemma(discharge,[]))).
% 1.28/1.18 tff(1972,plain,
% 1.28/1.18 (c3_1(a445)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1971, 40, 32])).
% 1.28/1.18 tff(1973,plain,
% 1.28/1.18 (~c1_1(a445)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[756, 1972, 40, 32])).
% 1.28/1.18 tff(1974,plain,
% 1.28/1.18 (~hskp9),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[583, 1972])).
% 1.28/1.18 tff(1975,plain,
% 1.28/1.18 (hskp9 | c1_1(a445) | (~c3_1(a445))),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[590, 219, 32, 40, 50])).
% 1.28/1.18 tff(1976,plain,
% 1.28/1.18 ($false),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1975, 1974, 1972, 1973])).
% 1.28/1.18 tff(1977,plain,(c0_1(a445) | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.28/1.18 tff(1978,plain,
% 1.28/1.18 (c0_1(a445)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1977, 32])).
% 1.28/1.18 tff(1979,plain,
% 1.28/1.18 (~hskp9),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[783, 1978])).
% 1.28/1.18 tff(1980,plain,
% 1.28/1.18 (c1_1(a435)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1748, 33])).
% 1.28/1.18 tff(1981,plain,
% 1.28/1.18 (~c0_1(a435)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1737, 33])).
% 1.28/1.18 tff(1982,plain,
% 1.28/1.18 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a435)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a435)))),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(1983,plain,
% 1.28/1.18 ((hskp9 | (~ndr1_0) | c3_1(a435) | c0_1(a435) | (~c2_1(a435)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435))) <=> (hskp9 | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a435)))),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(1984,plain,
% 1.28/1.18 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a435) | c0_1(a435) | (~c2_1(a435)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a435))))),
% 1.28/1.18 inference(monotonicity,[status(thm)],[1983])).
% 1.28/1.18 tff(1985,plain,
% 1.28/1.18 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a435) | c0_1(a435) | (~c2_1(a435)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a435)))),
% 1.28/1.18 inference(transitivity,[status(thm)],[1984, 1982])).
% 1.28/1.18 tff(1986,plain,
% 1.28/1.18 ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a435) | c0_1(a435) | (~c2_1(a435)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)))),
% 1.28/1.18 inference(quant_inst,[status(thm)],[])).
% 1.28/1.18 tff(1987,plain,
% 1.28/1.18 ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a435))),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[1986, 1985])).
% 1.28/1.18 tff(1988,plain,
% 1.28/1.18 (hskp9 | (~c2_1(a435))),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1987, 219, 1760, 1759, 1758, 30])).
% 1.28/1.18 tff(1989,plain,
% 1.28/1.18 (~c2_1(a435)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1988, 31])).
% 1.28/1.18 tff(1990,plain,
% 1.28/1.18 (((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | c0_1(a435) | (~ndr1_0) | (~c1_1(a435)) | c2_1(a435))) <=> ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp15 | hskp9 | c0_1(a435) | (~ndr1_0) | (~c1_1(a435)) | c2_1(a435))),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(1991,plain,
% 1.28/1.18 ((hskp15 | hskp9 | (~ndr1_0) | c2_1(a435) | c0_1(a435) | (~c1_1(a435))) <=> (hskp15 | hskp9 | c0_1(a435) | (~ndr1_0) | (~c1_1(a435)) | c2_1(a435))),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(1992,plain,
% 1.28/1.18 (((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | (~ndr1_0) | c2_1(a435) | c0_1(a435) | (~c1_1(a435)))) <=> ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | c0_1(a435) | (~ndr1_0) | (~c1_1(a435)) | c2_1(a435)))),
% 1.28/1.18 inference(monotonicity,[status(thm)],[1991])).
% 1.28/1.18 tff(1993,plain,
% 1.28/1.18 (((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | (~ndr1_0) | c2_1(a435) | c0_1(a435) | (~c1_1(a435)))) <=> ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp15 | hskp9 | c0_1(a435) | (~ndr1_0) | (~c1_1(a435)) | c2_1(a435))),
% 1.28/1.18 inference(transitivity,[status(thm)],[1992, 1990])).
% 1.28/1.18 tff(1994,plain,
% 1.28/1.18 ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | (~ndr1_0) | c2_1(a435) | c0_1(a435) | (~c1_1(a435)))),
% 1.28/1.18 inference(quant_inst,[status(thm)],[])).
% 1.28/1.18 tff(1995,plain,
% 1.28/1.18 ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp15 | hskp9 | c0_1(a435) | (~ndr1_0) | (~c1_1(a435)) | c2_1(a435)),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[1994, 1993])).
% 1.28/1.18 tff(1996,plain,
% 1.28/1.18 (hskp15 | hskp9 | c2_1(a435)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1995, 219, 1760, 1759, 691])).
% 1.28/1.18 tff(1997,plain,
% 1.28/1.18 (hskp15),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1996, 1989, 31])).
% 1.28/1.18 tff(1998,plain,
% 1.28/1.18 (~c1_1(a454)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[704, 1997])).
% 1.28/1.18 tff(1999,plain,
% 1.28/1.18 (~c0_1(a454)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[710, 1997])).
% 1.28/1.18 tff(2000,plain,
% 1.28/1.18 (c3_1(a454)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[721, 1997])).
% 1.28/1.18 tff(2001,plain,
% 1.28/1.18 ($false),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[728, 219, 31, 32, 2000, 1999, 1998, 50])).
% 1.28/1.18 tff(2002,plain,(hskp9 | hskp8 | (~c1_1(a435)) | c0_1(a435) | c3_1(a435)), inference(lemma,lemma(discharge,[]))).
% 1.28/1.18 tff(2003,plain,
% 1.28/1.18 ($false),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[2002, 1981, 1980, 32, 1979, 39])).
% 1.28/1.18 tff(2004,plain,((~hskp3) | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.28/1.18 tff(2005,plain,
% 1.28/1.18 (~hskp3),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[2004, 32])).
% 1.28/1.18 tff(2006,assumption,(hskp12), introduced(assumption)).
% 1.28/1.18 tff(2007,plain,
% 1.28/1.18 (~c0_1(a450)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[409, 2006])).
% 1.28/1.18 tff(2008,plain,
% 1.28/1.18 (c1_1(a450)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[454, 2006])).
% 1.28/1.18 tff(2009,assumption,(hskp15), introduced(assumption)).
% 1.28/1.18 tff(2010,plain,
% 1.28/1.18 (~c1_1(a454)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[704, 2009])).
% 1.28/1.18 tff(2011,plain,
% 1.28/1.18 (~c0_1(a454)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[710, 2009])).
% 1.28/1.18 tff(2012,plain,
% 1.28/1.18 (c3_1(a454)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[721, 2009])).
% 1.28/1.18 tff(2013,plain,
% 1.28/1.18 ($false),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[728, 219, 1979, 32, 2012, 2011, 2010, 50])).
% 1.28/1.18 tff(2014,plain,((~hskp15) | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.28/1.18 tff(2015,plain,
% 1.28/1.18 (~hskp15),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[2014, 32])).
% 1.28/1.18 tff(2016,plain,
% 1.28/1.18 (((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | c0_1(a450) | (~ndr1_0) | (~c1_1(a450)) | c2_1(a450))) <=> ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp15 | hskp9 | c0_1(a450) | (~ndr1_0) | (~c1_1(a450)) | c2_1(a450))),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(2017,plain,
% 1.28/1.18 ((hskp15 | hskp9 | (~ndr1_0) | c2_1(a450) | c0_1(a450) | (~c1_1(a450))) <=> (hskp15 | hskp9 | c0_1(a450) | (~ndr1_0) | (~c1_1(a450)) | c2_1(a450))),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(2018,plain,
% 1.28/1.18 (((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | (~ndr1_0) | c2_1(a450) | c0_1(a450) | (~c1_1(a450)))) <=> ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | c0_1(a450) | (~ndr1_0) | (~c1_1(a450)) | c2_1(a450)))),
% 1.28/1.18 inference(monotonicity,[status(thm)],[2017])).
% 1.28/1.18 tff(2019,plain,
% 1.28/1.18 (((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | (~ndr1_0) | c2_1(a450) | c0_1(a450) | (~c1_1(a450)))) <=> ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp15 | hskp9 | c0_1(a450) | (~ndr1_0) | (~c1_1(a450)) | c2_1(a450))),
% 1.28/1.18 inference(transitivity,[status(thm)],[2018, 2016])).
% 1.28/1.18 tff(2020,plain,
% 1.28/1.18 ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | (hskp15 | hskp9 | (~ndr1_0) | c2_1(a450) | c0_1(a450) | (~c1_1(a450)))),
% 1.28/1.18 inference(quant_inst,[status(thm)],[])).
% 1.28/1.18 tff(2021,plain,
% 1.28/1.18 ((~![U: $i] : (hskp15 | hskp9 | (~ndr1_0) | c2_1(U) | c0_1(U) | (~c1_1(U)))) | hskp15 | hskp9 | c0_1(a450) | (~ndr1_0) | (~c1_1(a450)) | c2_1(a450)),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[2020, 2019])).
% 1.28/1.18 tff(2022,plain,
% 1.28/1.18 (c2_1(a450)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[2021, 219, 2015, 1979, 2008, 2007, 691])).
% 1.28/1.18 tff(2023,plain,
% 1.28/1.18 (c3_1(a450)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[443, 2006])).
% 1.28/1.18 tff(2024,plain,
% 1.28/1.18 ($false),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[1289, 219, 32, 2008, 2023, 2007, 264, 2022])).
% 1.28/1.18 tff(2025,plain,((~hskp12) | hskp8), inference(lemma,lemma(discharge,[]))).
% 1.28/1.18 tff(2026,plain,
% 1.28/1.18 (~hskp12),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[2025, 32])).
% 1.28/1.18 tff(2027,plain,
% 1.28/1.18 ((hskp24 | hskp12 | hskp3) <=> (hskp24 | hskp12 | hskp3)),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(2028,plain,
% 1.28/1.18 (((hskp24 | hskp12) | hskp3) <=> (hskp24 | hskp12 | hskp3)),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(2029,plain,
% 1.28/1.18 ((hskp24 | hskp12) <=> (hskp24 | hskp12)),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(2030,plain,
% 1.28/1.18 (((hskp24 | hskp12) | hskp3) <=> ((hskp24 | hskp12) | hskp3)),
% 1.28/1.18 inference(monotonicity,[status(thm)],[2029])).
% 1.28/1.18 tff(2031,plain,
% 1.28/1.18 (((hskp24 | hskp12) | hskp3) <=> (hskp24 | hskp12 | hskp3)),
% 1.28/1.18 inference(transitivity,[status(thm)],[2030, 2028])).
% 1.28/1.18 tff(2032,axiom,((hskp24 | hskp12) | hskp3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause36')).
% 1.28/1.18 tff(2033,plain,
% 1.28/1.18 (hskp24 | hskp12 | hskp3),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[2032, 2031])).
% 1.28/1.18 tff(2034,plain,
% 1.28/1.18 (hskp24 | hskp12 | hskp3),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[2033, 2027])).
% 1.28/1.18 tff(2035,plain,
% 1.28/1.18 (hskp24 | hskp12 | hskp3),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[2034, 2027])).
% 1.28/1.18 tff(2036,plain,
% 1.28/1.18 (hskp24 | hskp12 | hskp3),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[2035, 2027])).
% 1.28/1.18 tff(2037,plain,
% 1.28/1.18 (hskp24 | hskp12 | hskp3),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[2036, 2027])).
% 1.28/1.18 tff(2038,plain,
% 1.28/1.18 (hskp24 | hskp12 | hskp3),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[2037, 2027])).
% 1.28/1.18 tff(2039,plain,
% 1.28/1.18 (hskp24 | hskp12 | hskp3),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[2038, 2027])).
% 1.28/1.18 tff(2040,plain,
% 1.28/1.18 (hskp24 | hskp12 | hskp3),
% 1.28/1.18 inference(modus_ponens,[status(thm)],[2039, 2027])).
% 1.28/1.18 tff(2041,plain,
% 1.28/1.18 (hskp24),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[2040, 2026, 2005])).
% 1.28/1.18 tff(2042,plain,
% 1.28/1.18 (c1_1(a486)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[147, 2041])).
% 1.28/1.18 tff(2043,plain,
% 1.28/1.18 (c2_1(a486)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[136, 2041])).
% 1.28/1.18 tff(2044,plain,
% 1.28/1.18 (~c0_1(a486)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[125, 2041])).
% 1.28/1.18 tff(2045,plain,
% 1.28/1.18 (c3_1(a486)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[792, 2044, 1979, 2043, 2042])).
% 1.28/1.18 tff(2046,plain,
% 1.28/1.18 ($false),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[270, 219, 32, 2042, 2043, 2044, 264, 2045])).
% 1.28/1.18 tff(2047,plain,(hskp8), inference(lemma,lemma(discharge,[]))).
% 1.28/1.18 tff(2048,plain,
% 1.28/1.18 (~c3_1(a444)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[277, 2047])).
% 1.28/1.18 tff(2049,plain,
% 1.28/1.18 (~c0_1(a444)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[283, 2047])).
% 1.28/1.18 tff(2050,plain,
% 1.28/1.18 (c2_1(a444)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[294, 2047])).
% 1.28/1.18 tff(2051,plain,
% 1.28/1.18 (hskp9 | (~c1_1(a444))),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[767, 219, 2050, 2049, 2048, 30])).
% 1.28/1.18 tff(2052,plain,
% 1.28/1.18 (~c1_1(a444)),
% 1.28/1.18 inference(unit_resolution,[status(thm)],[2051, 31])).
% 1.28/1.18 tff(2053,plain,
% 1.28/1.18 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | (hskp3 | c2_1(a452) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | c1_1(a444) | (~c0_1(a452)) | (~c1_1(a452)))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | hskp3 | c2_1(a452) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | c1_1(a444) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(2054,plain,
% 1.28/1.18 ((hskp3 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c1_1(a444) | c0_1(a444) | c3_1(a444)) <=> (hskp3 | c2_1(a452) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | c1_1(a444) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.28/1.18 inference(rewrite,[status(thm)],[])).
% 1.28/1.18 tff(2055,plain,
% 1.28/1.18 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | (hskp3 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c1_1(a444) | c0_1(a444) | c3_1(a444))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | (hskp3 | c2_1(a452) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | c1_1(a444) | (~c0_1(a452)) | (~c1_1(a452))))),
% 1.28/1.18 inference(monotonicity,[status(thm)],[2054])).
% 1.28/1.18 tff(2056,plain,
% 1.28/1.18 (((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | (hskp3 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c1_1(a444) | c0_1(a444) | c3_1(a444))) <=> ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | hskp3 | c2_1(a452) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | c1_1(a444) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.38/1.19 inference(transitivity,[status(thm)],[2055, 2053])).
% 1.38/1.19 tff(2057,plain,
% 1.38/1.19 ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | (hskp3 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c1_1(a444) | c0_1(a444) | c3_1(a444))),
% 1.38/1.19 inference(quant_inst,[status(thm)],[])).
% 1.38/1.19 tff(2058,plain,
% 1.38/1.19 ((~![V: $i, U: $i] : (hskp3 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V))) | hskp3 | c2_1(a452) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | c1_1(a444) | (~c0_1(a452)) | (~c1_1(a452))),
% 1.38/1.19 inference(modus_ponens,[status(thm)],[2057, 2056])).
% 1.38/1.19 tff(2059,plain,
% 1.38/1.19 (hskp3),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[2058, 219, 1724, 1713, 1702, 2049, 2048, 20, 2052])).
% 1.38/1.19 tff(2060,plain,
% 1.38/1.19 (~c3_1(a435)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[38, 2059])).
% 1.38/1.19 tff(2061,plain,
% 1.38/1.19 (~c0_1(a435)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[1737, 2059])).
% 1.38/1.19 tff(2062,plain,
% 1.38/1.19 (c1_1(a435)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[1748, 2059])).
% 1.38/1.19 tff(2063,plain,
% 1.38/1.19 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | c0_1(a444) | c3_1(a444) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a444) | c3_1(a444) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a444)))),
% 1.38/1.19 inference(rewrite,[status(thm)],[])).
% 1.38/1.19 tff(2064,plain,
% 1.38/1.19 ((hskp9 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435))) <=> (hskp9 | c0_1(a444) | c3_1(a444) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a444)))),
% 1.38/1.19 inference(rewrite,[status(thm)],[])).
% 1.38/1.19 tff(2065,plain,
% 1.38/1.19 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | c0_1(a444) | c3_1(a444) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a444))))),
% 1.38/1.19 inference(monotonicity,[status(thm)],[2064])).
% 1.38/1.19 tff(2066,plain,
% 1.38/1.19 (((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)))) <=> ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a444) | c3_1(a444) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a444)))),
% 1.38/1.19 inference(transitivity,[status(thm)],[2065, 2063])).
% 1.38/1.19 tff(2067,plain,
% 1.38/1.19 ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | (hskp9 | (~ndr1_0) | c3_1(a444) | c0_1(a444) | (~c2_1(a444)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)))),
% 1.38/1.19 inference(quant_inst,[status(thm)],[])).
% 1.38/1.19 tff(2068,plain,
% 1.38/1.19 ((~![V: $i, U: $i] : (hskp9 | (~ndr1_0) | c3_1(U) | c0_1(U) | (~c2_1(U)) | c0_1(V) | c3_1(V) | (~c1_1(V)))) | hskp9 | c0_1(a444) | c3_1(a444) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a444))),
% 1.38/1.19 inference(modus_ponens,[status(thm)],[2067, 2066])).
% 1.38/1.19 tff(2069,plain,
% 1.38/1.19 ($false),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[2068, 219, 31, 2050, 2062, 2049, 2048, 2061, 2060, 30])).
% 1.38/1.19 tff(2070,plain,(hskp9), inference(lemma,lemma(discharge,[]))).
% 1.38/1.19 tff(2071,plain,
% 1.38/1.19 (~c3_1(a445)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[583, 2070])).
% 1.38/1.19 tff(2072,plain,
% 1.38/1.19 (~c1_1(a445)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[621, 2070])).
% 1.38/1.19 tff(2073,plain,
% 1.38/1.19 (~c0_1(a445)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[783, 2070])).
% 1.38/1.19 tff(2074,plain,
% 1.38/1.19 (hskp3),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[1730, 219, 1724, 1713, 1702, 2073, 2072, 2071, 20])).
% 1.38/1.19 tff(2075,plain,
% 1.38/1.19 (~c3_1(a435)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[38, 2074])).
% 1.38/1.19 tff(2076,plain,
% 1.38/1.19 (~c0_1(a435)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[1737, 2074])).
% 1.38/1.19 tff(2077,plain,
% 1.38/1.19 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp17 | c2_1(a452) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c0_1(a452)) | (~c1_1(a452)))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp17 | c2_1(a452) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.38/1.19 inference(rewrite,[status(thm)],[])).
% 1.38/1.19 tff(2078,plain,
% 1.38/1.19 ((hskp17 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444))) <=> (hskp17 | c2_1(a452) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.38/1.19 inference(rewrite,[status(thm)],[])).
% 1.38/1.19 tff(2079,plain,
% 1.38/1.19 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp17 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp17 | c2_1(a452) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c0_1(a452)) | (~c1_1(a452))))),
% 1.38/1.19 inference(monotonicity,[status(thm)],[2078])).
% 1.38/1.19 tff(2080,plain,
% 1.38/1.19 (((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp17 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))) <=> ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp17 | c2_1(a452) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c0_1(a452)) | (~c1_1(a452)))),
% 1.38/1.19 inference(transitivity,[status(thm)],[2079, 2077])).
% 1.38/1.19 tff(2081,plain,
% 1.38/1.19 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | (hskp17 | (~ndr1_0) | c2_1(a452) | (~c1_1(a452)) | (~c0_1(a452)) | c0_1(a444) | c3_1(a444) | (~c2_1(a444)))),
% 1.38/1.19 inference(quant_inst,[status(thm)],[])).
% 1.38/1.19 tff(2082,plain,
% 1.38/1.19 ((~![V: $i, U: $i] : (hskp17 | (~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | c3_1(V) | (~c2_1(V)))) | hskp17 | c2_1(a452) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c2_1(a444)) | (~c0_1(a452)) | (~c1_1(a452))),
% 1.38/1.19 inference(modus_ponens,[status(thm)],[2081, 2080])).
% 1.38/1.19 tff(2083,plain,
% 1.38/1.19 (hskp17),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[2082, 219, 1724, 1713, 2050, 1702, 2049, 2048, 1809])).
% 1.38/1.19 tff(2084,plain,
% 1.38/1.19 (~c1_1(a463)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[1767, 2083])).
% 1.38/1.19 tff(2085,plain,
% 1.38/1.19 (c3_1(a452)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[1798, 1471, 2083])).
% 1.38/1.19 tff(2086,plain,
% 1.38/1.19 (^[V: $i, U: $i] : refl((hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V))) <=> (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V))))),
% 1.38/1.19 inference(bind,[status(th)],[])).
% 1.38/1.19 tff(2087,plain,
% 1.38/1.19 (![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))),
% 1.38/1.19 inference(quant_intro,[status(thm)],[2086])).
% 1.38/1.19 tff(2088,plain,
% 1.38/1.19 (![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))),
% 1.38/1.19 inference(rewrite,[status(thm)],[])).
% 1.38/1.19 tff(2089,plain,
% 1.38/1.19 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(V)))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(V))))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(V)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(V))))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c2_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))), ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V))))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) | c1_1(V)) | hskp23) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V))) | hskp23))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V))) | hskp23) <=> (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))), (((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) | c1_1(V)) | hskp23) <=> (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))))),
% 1.38/1.19 inference(bind,[status(th)],[])).
% 1.38/1.19 tff(2090,plain,
% 1.38/1.19 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) | c1_1(V)) | hskp23) <=> ![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))),
% 1.38/1.19 inference(quant_intro,[status(thm)],[2089])).
% 1.38/1.19 tff(2091,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c2_1(U)) | c1_1(V)) | hskp23)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause185')).
% 1.38/1.19 tff(2092,plain,
% 1.38/1.19 (![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))),
% 1.38/1.19 inference(modus_ponens,[status(thm)],[2091, 2090])).
% 1.38/1.19 tff(2093,plain,
% 1.38/1.19 (![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))),
% 1.38/1.19 inference(modus_ponens,[status(thm)],[2092, 2088])).
% 1.38/1.19 tff(2094,plain,(
% 1.38/1.19 ![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))),
% 1.38/1.19 inference(skolemize,[status(sab)],[2093])).
% 1.38/1.19 tff(2095,plain,
% 1.38/1.19 (![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))),
% 1.38/1.19 inference(modus_ponens,[status(thm)],[2094, 2087])).
% 1.38/1.19 tff(2096,plain,
% 1.38/1.19 (c2_1(a463)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[1778, 2083])).
% 1.38/1.19 tff(2097,plain,
% 1.38/1.19 (c0_1(a463)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[1789, 2083])).
% 1.38/1.19 tff(2098,plain,
% 1.38/1.19 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp23 | c1_1(a463) | c2_1(a452) | (~ndr1_0) | (~c3_1(a452)) | (~c0_1(a452)) | (~c0_1(a463)) | (~c2_1(a463)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | hskp23 | c1_1(a463) | c2_1(a452) | (~ndr1_0) | (~c3_1(a452)) | (~c0_1(a452)) | (~c0_1(a463)) | (~c2_1(a463)))),
% 1.38/1.19 inference(rewrite,[status(thm)],[])).
% 1.38/1.19 tff(2099,plain,
% 1.38/1.19 ((hskp23 | (~ndr1_0) | c2_1(a452) | (~c3_1(a452)) | (~c0_1(a452)) | c1_1(a463) | (~c0_1(a463)) | (~c2_1(a463))) <=> (hskp23 | c1_1(a463) | c2_1(a452) | (~ndr1_0) | (~c3_1(a452)) | (~c0_1(a452)) | (~c0_1(a463)) | (~c2_1(a463)))),
% 1.38/1.19 inference(rewrite,[status(thm)],[])).
% 1.38/1.19 tff(2100,plain,
% 1.38/1.19 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp23 | (~ndr1_0) | c2_1(a452) | (~c3_1(a452)) | (~c0_1(a452)) | c1_1(a463) | (~c0_1(a463)) | (~c2_1(a463)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp23 | c1_1(a463) | c2_1(a452) | (~ndr1_0) | (~c3_1(a452)) | (~c0_1(a452)) | (~c0_1(a463)) | (~c2_1(a463))))),
% 1.38/1.19 inference(monotonicity,[status(thm)],[2099])).
% 1.38/1.19 tff(2101,plain,
% 1.38/1.19 (((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp23 | (~ndr1_0) | c2_1(a452) | (~c3_1(a452)) | (~c0_1(a452)) | c1_1(a463) | (~c0_1(a463)) | (~c2_1(a463)))) <=> ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | hskp23 | c1_1(a463) | c2_1(a452) | (~ndr1_0) | (~c3_1(a452)) | (~c0_1(a452)) | (~c0_1(a463)) | (~c2_1(a463)))),
% 1.38/1.19 inference(transitivity,[status(thm)],[2100, 2098])).
% 1.38/1.19 tff(2102,plain,
% 1.38/1.19 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp23 | (~ndr1_0) | c2_1(a452) | (~c3_1(a452)) | (~c0_1(a452)) | c1_1(a463) | (~c0_1(a463)) | (~c2_1(a463)))),
% 1.38/1.19 inference(quant_inst,[status(thm)],[])).
% 1.38/1.19 tff(2103,plain,
% 1.38/1.19 ((~![V: $i, U: $i] : (hskp23 | (~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | hskp23 | c1_1(a463) | c2_1(a452) | (~ndr1_0) | (~c3_1(a452)) | (~c0_1(a452)) | (~c0_1(a463)) | (~c2_1(a463))),
% 1.38/1.19 inference(modus_ponens,[status(thm)],[2102, 2101])).
% 1.38/1.19 tff(2104,plain,
% 1.38/1.19 (hskp23 | (~c3_1(a452))),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[2103, 219, 2097, 2096, 1724, 2084, 1702, 2095])).
% 1.38/1.19 tff(2105,plain,
% 1.38/1.19 (hskp23),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[2104, 2085])).
% 1.38/1.19 tff(2106,plain,
% 1.38/1.19 (~c3_1(a484)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[1451, 2105])).
% 1.38/1.19 tff(2107,plain,
% 1.38/1.19 (~c2_1(a484)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[1457, 2105])).
% 1.38/1.19 tff(2108,plain,
% 1.38/1.19 (c1_1(a484)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[1469, 2105])).
% 1.38/1.19 tff(2109,plain,
% 1.38/1.19 (((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp24 | c2_1(a484) | c3_1(a484) | c1_1(a463) | (~ndr1_0) | (~c0_1(a463)) | (~c2_1(a463)) | (~c1_1(a484)))) <=> ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | hskp24 | c2_1(a484) | c3_1(a484) | c1_1(a463) | (~ndr1_0) | (~c0_1(a463)) | (~c2_1(a463)) | (~c1_1(a484)))),
% 1.38/1.19 inference(rewrite,[status(thm)],[])).
% 1.38/1.19 tff(2110,plain,
% 1.38/1.19 ((hskp24 | (~ndr1_0) | c3_1(a484) | c2_1(a484) | (~c1_1(a484)) | c1_1(a463) | (~c0_1(a463)) | (~c2_1(a463))) <=> (hskp24 | c2_1(a484) | c3_1(a484) | c1_1(a463) | (~ndr1_0) | (~c0_1(a463)) | (~c2_1(a463)) | (~c1_1(a484)))),
% 1.38/1.19 inference(rewrite,[status(thm)],[])).
% 1.38/1.19 tff(2111,plain,
% 1.38/1.19 (((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp24 | (~ndr1_0) | c3_1(a484) | c2_1(a484) | (~c1_1(a484)) | c1_1(a463) | (~c0_1(a463)) | (~c2_1(a463)))) <=> ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp24 | c2_1(a484) | c3_1(a484) | c1_1(a463) | (~ndr1_0) | (~c0_1(a463)) | (~c2_1(a463)) | (~c1_1(a484))))),
% 1.38/1.19 inference(monotonicity,[status(thm)],[2110])).
% 1.38/1.19 tff(2112,plain,
% 1.38/1.19 (((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp24 | (~ndr1_0) | c3_1(a484) | c2_1(a484) | (~c1_1(a484)) | c1_1(a463) | (~c0_1(a463)) | (~c2_1(a463)))) <=> ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | hskp24 | c2_1(a484) | c3_1(a484) | c1_1(a463) | (~ndr1_0) | (~c0_1(a463)) | (~c2_1(a463)) | (~c1_1(a484)))),
% 1.38/1.19 inference(transitivity,[status(thm)],[2111, 2109])).
% 1.38/1.19 tff(2113,plain,
% 1.38/1.19 ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | (hskp24 | (~ndr1_0) | c3_1(a484) | c2_1(a484) | (~c1_1(a484)) | c1_1(a463) | (~c0_1(a463)) | (~c2_1(a463)))),
% 1.38/1.19 inference(quant_inst,[status(thm)],[])).
% 1.38/1.19 tff(2114,plain,
% 1.38/1.19 ((~![V: $i, U: $i] : (hskp24 | (~ndr1_0) | c3_1(U) | c2_1(U) | (~c1_1(U)) | c1_1(V) | (~c0_1(V)) | (~c2_1(V)))) | hskp24 | c2_1(a484) | c3_1(a484) | c1_1(a463) | (~ndr1_0) | (~c0_1(a463)) | (~c2_1(a463)) | (~c1_1(a484))),
% 1.38/1.19 inference(modus_ponens,[status(thm)],[2113, 2112])).
% 1.38/1.19 tff(2115,plain,
% 1.38/1.19 ($false),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[2114, 219, 1471, 2108, 2097, 2096, 2107, 2106, 2084, 1444])).
% 1.38/1.19 tff(2116,plain,(hskp24), inference(lemma,lemma(discharge,[]))).
% 1.38/1.19 tff(2117,plain,
% 1.38/1.19 (~c0_1(a486)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[125, 2116])).
% 1.38/1.19 tff(2118,plain,
% 1.38/1.19 (c1_1(a435)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[1748, 2074])).
% 1.38/1.19 tff(2119,plain,
% 1.38/1.19 (c2_1(a486)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[136, 2116])).
% 1.38/1.19 tff(2120,plain,
% 1.38/1.19 (c1_1(a486)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[147, 2116])).
% 1.38/1.19 tff(2121,plain,
% 1.38/1.19 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c1_1(a445) | c3_1(a445) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a445)) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c1_1(a445) | c3_1(a445) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a445)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.38/1.19 inference(rewrite,[status(thm)],[])).
% 1.38/1.19 tff(2122,plain,
% 1.38/1.19 (((~ndr1_0) | c3_1(a445) | c1_1(a445) | (~c2_1(a445)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435))) <=> (c0_1(a486) | c1_1(a445) | c3_1(a445) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a445)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.38/1.19 inference(rewrite,[status(thm)],[])).
% 1.38/1.19 tff(2123,plain,
% 1.38/1.19 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a445) | c1_1(a445) | (~c2_1(a445)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c1_1(a445) | c3_1(a445) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a445)) | (~c1_1(a486)) | (~c2_1(a486))))),
% 1.38/1.19 inference(monotonicity,[status(thm)],[2122])).
% 1.38/1.19 tff(2124,plain,
% 1.38/1.19 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a445) | c1_1(a445) | (~c2_1(a445)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c1_1(a445) | c3_1(a445) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a445)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.38/1.19 inference(transitivity,[status(thm)],[2123, 2121])).
% 1.38/1.19 tff(2125,plain,
% 1.38/1.19 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a445) | c1_1(a445) | (~c2_1(a445)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)))),
% 1.38/1.19 inference(quant_inst,[status(thm)],[])).
% 1.38/1.19 tff(2126,plain,
% 1.38/1.19 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c1_1(a445) | c3_1(a445) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | (~c2_1(a445)) | (~c1_1(a486)) | (~c2_1(a486))),
% 1.38/1.19 inference(modus_ponens,[status(thm)],[2125, 2124])).
% 1.38/1.19 tff(2127,plain,
% 1.38/1.19 (~c2_1(a445)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[2126, 219, 2120, 2119, 2118, 2117, 2072, 2071, 2076, 2075, 10])).
% 1.38/1.19 tff(2128,plain,
% 1.38/1.19 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445) | (~c3_1(a463)) | (~c0_1(a463)) | (~c2_1(a463)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445) | (~c3_1(a463)) | (~c0_1(a463)) | (~c2_1(a463)))),
% 1.38/1.19 inference(rewrite,[status(thm)],[])).
% 1.38/1.19 tff(2129,plain,
% 1.38/1.19 (((~ndr1_0) | (~c2_1(a463)) | (~c3_1(a463)) | (~c0_1(a463)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a445) | c1_1(a445) | c0_1(a445)) <=> (c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445) | (~c3_1(a463)) | (~c0_1(a463)) | (~c2_1(a463)))),
% 1.38/1.19 inference(rewrite,[status(thm)],[])).
% 1.38/1.19 tff(2130,plain,
% 1.38/1.19 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a463)) | (~c3_1(a463)) | (~c0_1(a463)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a445) | c1_1(a445) | c0_1(a445))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445) | (~c3_1(a463)) | (~c0_1(a463)) | (~c2_1(a463))))),
% 1.38/1.19 inference(monotonicity,[status(thm)],[2129])).
% 1.38/1.19 tff(2131,plain,
% 1.38/1.19 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a463)) | (~c3_1(a463)) | (~c0_1(a463)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a445) | c1_1(a445) | c0_1(a445))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445) | (~c3_1(a463)) | (~c0_1(a463)) | (~c2_1(a463)))),
% 1.38/1.19 inference(transitivity,[status(thm)],[2130, 2128])).
% 1.38/1.19 tff(2132,plain,
% 1.38/1.19 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a463)) | (~c3_1(a463)) | (~c0_1(a463)) | c1_1(a445) | c0_1(a445) | c3_1(a445) | c2_1(a445) | c1_1(a445) | c0_1(a445))),
% 1.38/1.19 inference(quant_inst,[status(thm)],[])).
% 1.38/1.19 tff(2133,plain,
% 1.38/1.19 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(U)) | c1_1(V) | c0_1(V) | c3_1(V) | c2_1(W) | c1_1(W) | c0_1(W))) | c0_1(a445) | c1_1(a445) | c3_1(a445) | (~ndr1_0) | c2_1(a445) | (~c3_1(a463)) | (~c0_1(a463)) | (~c2_1(a463))),
% 1.38/1.19 inference(modus_ponens,[status(thm)],[2132, 2131])).
% 1.38/1.19 tff(2134,plain,
% 1.38/1.19 (~c3_1(a463)),
% 1.38/1.19 inference(unit_resolution,[status(thm)],[2133, 219, 2097, 2096, 2073, 2072, 2071, 74, 2127])).
% 1.38/1.19 tff(2135,plain,
% 1.38/1.19 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c3_1(a444) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | c1_1(a444) | (~c2_1(a444)) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c3_1(a444) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | c1_1(a444) | (~c2_1(a444)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.38/1.20 inference(rewrite,[status(thm)],[])).
% 1.38/1.20 tff(2136,plain,
% 1.38/1.20 (((~ndr1_0) | c3_1(a444) | c1_1(a444) | (~c2_1(a444)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435))) <=> (c0_1(a486) | c3_1(a444) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | c1_1(a444) | (~c2_1(a444)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.38/1.20 inference(rewrite,[status(thm)],[])).
% 1.38/1.20 tff(2137,plain,
% 1.38/1.20 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a444) | c1_1(a444) | (~c2_1(a444)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c3_1(a444) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | c1_1(a444) | (~c2_1(a444)) | (~c1_1(a486)) | (~c2_1(a486))))),
% 1.38/1.20 inference(monotonicity,[status(thm)],[2136])).
% 1.38/1.20 tff(2138,plain,
% 1.38/1.20 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a444) | c1_1(a444) | (~c2_1(a444)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c3_1(a444) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | c1_1(a444) | (~c2_1(a444)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.38/1.20 inference(transitivity,[status(thm)],[2137, 2135])).
% 1.38/1.20 tff(2139,plain,
% 1.38/1.20 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a444) | c1_1(a444) | (~c2_1(a444)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a435) | c3_1(a435) | (~c1_1(a435)))),
% 1.38/1.20 inference(quant_inst,[status(thm)],[])).
% 1.38/1.20 tff(2140,plain,
% 1.38/1.20 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c3_1(a444) | c0_1(a435) | c3_1(a435) | (~ndr1_0) | (~c1_1(a435)) | c1_1(a444) | (~c2_1(a444)) | (~c1_1(a486)) | (~c2_1(a486))),
% 1.38/1.20 inference(modus_ponens,[status(thm)],[2139, 2138])).
% 1.38/1.20 tff(2141,plain,
% 1.38/1.20 (c1_1(a444)),
% 1.38/1.20 inference(unit_resolution,[status(thm)],[2140, 219, 2120, 2119, 2050, 2118, 2117, 2048, 2076, 2075, 10])).
% 1.38/1.20 tff(2142,plain,
% 1.38/1.20 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c1_1(a463) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c1_1(a444)) | c3_1(a463) | (~c2_1(a463)) | (~c1_1(a486)) | (~c2_1(a486)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c1_1(a463) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c1_1(a444)) | c3_1(a463) | (~c2_1(a463)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.38/1.20 inference(rewrite,[status(thm)],[])).
% 1.38/1.20 tff(2143,plain,
% 1.38/1.20 (((~ndr1_0) | c3_1(a463) | c1_1(a463) | (~c2_1(a463)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a444) | c3_1(a444) | (~c1_1(a444))) <=> (c0_1(a486) | c1_1(a463) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c1_1(a444)) | c3_1(a463) | (~c2_1(a463)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.38/1.20 inference(rewrite,[status(thm)],[])).
% 1.38/1.20 tff(2144,plain,
% 1.38/1.20 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a463) | c1_1(a463) | (~c2_1(a463)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a444) | c3_1(a444) | (~c1_1(a444)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | (c0_1(a486) | c1_1(a463) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c1_1(a444)) | c3_1(a463) | (~c2_1(a463)) | (~c1_1(a486)) | (~c2_1(a486))))),
% 1.39/1.20 inference(monotonicity,[status(thm)],[2143])).
% 1.39/1.20 tff(2145,plain,
% 1.39/1.20 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a463) | c1_1(a463) | (~c2_1(a463)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a444) | c3_1(a444) | (~c1_1(a444)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c1_1(a463) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c1_1(a444)) | c3_1(a463) | (~c2_1(a463)) | (~c1_1(a486)) | (~c2_1(a486)))),
% 1.39/1.20 inference(transitivity,[status(thm)],[2144, 2142])).
% 1.39/1.20 tff(2146,plain,
% 1.39/1.20 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | ((~ndr1_0) | c3_1(a463) | c1_1(a463) | (~c2_1(a463)) | c0_1(a486) | (~c1_1(a486)) | (~c2_1(a486)) | c0_1(a444) | c3_1(a444) | (~c1_1(a444)))),
% 1.39/1.20 inference(quant_inst,[status(thm)],[])).
% 1.39/1.20 tff(2147,plain,
% 1.39/1.20 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c3_1(U) | c1_1(U) | (~c2_1(U)) | c0_1(V) | (~c1_1(V)) | (~c2_1(V)) | c0_1(W) | c3_1(W) | (~c1_1(W)))) | c0_1(a486) | c1_1(a463) | c0_1(a444) | c3_1(a444) | (~ndr1_0) | (~c1_1(a444)) | c3_1(a463) | (~c2_1(a463)) | (~c1_1(a486)) | (~c2_1(a486))),
% 1.39/1.20 inference(modus_ponens,[status(thm)],[2146, 2145])).
% 1.39/1.20 tff(2148,plain,
% 1.39/1.20 ($false),
% 1.39/1.20 inference(unit_resolution,[status(thm)],[2147, 219, 2120, 2119, 2096, 2117, 2084, 2049, 2048, 10, 2141, 2134])).
% 1.39/1.20 % SZS output end Proof
%------------------------------------------------------------------------------