TSTP Solution File: SYN484-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN484-1 : TPTP v8.1.0. Released v2.1.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n020.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 29 23:55:50 EDT 2022
% Result : Unsatisfiable 0.67s 0.70s
% Output : Proof 0.85s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN484-1 : TPTP v8.1.0. Released v2.1.0.
% 0.03/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n020.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Sep 5 04:26:28 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.34 Usage: tptp [options] [-file:]file
% 0.13/0.34 -h, -? prints this message.
% 0.13/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.34 -m, -model generate model.
% 0.13/0.34 -p, -proof generate proof.
% 0.13/0.34 -c, -core generate unsat core of named formulas.
% 0.13/0.34 -st, -statistics display statistics.
% 0.13/0.34 -t:timeout set timeout (in second).
% 0.13/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.34 -<param>:<value> configuration parameter and value.
% 0.13/0.34 -o:<output-file> file to place output in.
% 0.67/0.70 % SZS status Unsatisfiable
% 0.67/0.70 % SZS output start Proof
% 0.67/0.70 tff(c0_1_type, type, (
% 0.67/0.70 c0_1: $i > $o)).
% 0.67/0.70 tff(a2003_type, type, (
% 0.67/0.70 a2003: $i)).
% 0.67/0.70 tff(a1987_type, type, (
% 0.67/0.70 a1987: $i)).
% 0.67/0.70 tff(c2_1_type, type, (
% 0.67/0.70 c2_1: $i > $o)).
% 0.67/0.70 tff(c1_1_type, type, (
% 0.67/0.70 c1_1: $i > $o)).
% 0.67/0.70 tff(c3_1_type, type, (
% 0.67/0.70 c3_1: $i > $o)).
% 0.67/0.70 tff(ndr1_0_type, type, (
% 0.67/0.70 ndr1_0: $o)).
% 0.67/0.70 tff(a1975_type, type, (
% 0.67/0.70 a1975: $i)).
% 0.67/0.70 tff(hskp4_type, type, (
% 0.67/0.70 hskp4: $o)).
% 0.67/0.70 tff(a1977_type, type, (
% 0.67/0.70 a1977: $i)).
% 0.67/0.70 tff(a1983_type, type, (
% 0.67/0.70 a1983: $i)).
% 0.67/0.70 tff(a1991_type, type, (
% 0.67/0.70 a1991: $i)).
% 0.67/0.70 tff(a2000_type, type, (
% 0.67/0.70 a2000: $i)).
% 0.67/0.70 tff(hskp18_type, type, (
% 0.67/0.70 hskp18: $o)).
% 0.67/0.70 tff(hskp17_type, type, (
% 0.67/0.70 hskp17: $o)).
% 0.67/0.70 tff(hskp13_type, type, (
% 0.67/0.70 hskp13: $o)).
% 0.67/0.70 tff(a1970_type, type, (
% 0.67/0.70 a1970: $i)).
% 0.67/0.70 tff(hskp27_type, type, (
% 0.67/0.70 hskp27: $o)).
% 0.67/0.70 tff(a2005_type, type, (
% 0.67/0.70 a2005: $i)).
% 0.67/0.70 tff(hskp30_type, type, (
% 0.67/0.70 hskp30: $o)).
% 0.67/0.70 tff(hskp8_type, type, (
% 0.67/0.70 hskp8: $o)).
% 0.67/0.70 tff(a1971_type, type, (
% 0.67/0.70 a1971: $i)).
% 0.67/0.70 tff(hskp1_type, type, (
% 0.67/0.70 hskp1: $o)).
% 0.67/0.70 tff(a1979_type, type, (
% 0.67/0.70 a1979: $i)).
% 0.67/0.70 tff(hskp6_type, type, (
% 0.67/0.70 hskp6: $o)).
% 0.67/0.70 tff(hskp5_type, type, (
% 0.67/0.70 hskp5: $o)).
% 0.67/0.70 tff(a1993_type, type, (
% 0.67/0.70 a1993: $i)).
% 0.67/0.70 tff(hskp15_type, type, (
% 0.67/0.70 hskp15: $o)).
% 0.67/0.70 tff(hskp10_type, type, (
% 0.67/0.70 hskp10: $o)).
% 0.67/0.70 tff(a2012_type, type, (
% 0.67/0.70 a2012: $i)).
% 0.67/0.70 tff(a1998_type, type, (
% 0.67/0.70 a1998: $i)).
% 0.67/0.70 tff(hskp22_type, type, (
% 0.67/0.70 hskp22: $o)).
% 0.67/0.70 tff(hskp2_type, type, (
% 0.67/0.70 hskp2: $o)).
% 0.67/0.70 tff(hskp20_type, type, (
% 0.67/0.70 hskp20: $o)).
% 0.67/0.70 tff(a1973_type, type, (
% 0.67/0.70 a1973: $i)).
% 0.67/0.70 tff(hskp23_type, type, (
% 0.67/0.70 hskp23: $o)).
% 0.67/0.70 tff(a2014_type, type, (
% 0.67/0.70 a2014: $i)).
% 0.67/0.70 tff(a1989_type, type, (
% 0.67/0.70 a1989: $i)).
% 0.67/0.70 tff(hskp11_type, type, (
% 0.67/0.70 hskp11: $o)).
% 0.67/0.70 tff(a1996_type, type, (
% 0.67/0.70 a1996: $i)).
% 0.67/0.70 tff(hskp16_type, type, (
% 0.67/0.70 hskp16: $o)).
% 0.67/0.70 tff(a1972_type, type, (
% 0.67/0.70 a1972: $i)).
% 0.67/0.70 tff(hskp28_type, type, (
% 0.67/0.70 hskp28: $o)).
% 0.67/0.70 tff(1,plain,
% 0.67/0.70 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W))) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W))))),
% 0.67/0.70 inference(bind,[status(th)],[])).
% 0.67/0.70 tff(2,plain,
% 0.67/0.70 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))),
% 0.67/0.70 inference(quant_intro,[status(thm)],[1])).
% 0.67/0.70 tff(3,plain,
% 0.67/0.70 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))),
% 0.67/0.70 inference(rewrite,[status(thm)],[])).
% 0.67/0.70 tff(4,plain,
% 0.67/0.70 (^[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)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(V)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(V))))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c0_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)) | (~c0_1(V)))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)) | (~c0_1(V))))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c0_1(W))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)) | (~c0_1(V))) | (~c0_1(W))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)) | (~c0_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c0_1(W)))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c0_1(W))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c0_1(W))))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c0_1(W))) | c1_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c0_1(W))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c0_1(W))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c0_1(W)))), ((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c0_1(W))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c0_1(W))))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c0_1(W))) | c1_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c0_1(W))) | c1_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | (~c2_1(V)) | (~c0_1(V)) | (~c0_1(W))) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | (~c0_1(W)))), (((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c0_1(W))) | c1_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | (~c0_1(W))))), ((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c0_1(W))) | c1_1(U)) | c1_1(V)) | c1_1(W)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | (~c0_1(W))) | c1_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | (~c0_1(W))) | c1_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W)))), ((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c0_1(W))) | c1_1(U)) | c1_1(V)) | c1_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W))))), (((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c0_1(W))) | c1_1(U)) | c1_1(V)) | c1_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | (~c0_1(W))) | c2_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))), (((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c0_1(W))) | c1_1(U)) | c1_1(V)) | c1_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))))),
% 0.67/0.71 inference(bind,[status(th)],[])).
% 0.67/0.71 tff(5,plain,
% 0.67/0.71 (![W: $i, V: $i, U: $i] : ((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c0_1(W))) | c1_1(U)) | c1_1(V)) | c1_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))),
% 0.67/0.71 inference(quant_intro,[status(thm)],[4])).
% 0.67/0.71 tff(6,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | (~c0_1(W))) | c1_1(U)) | c1_1(V)) | c1_1(W)) | c2_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause196')).
% 0.67/0.71 tff(7,plain,
% 0.67/0.71 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.67/0.71 tff(8,plain,
% 0.67/0.71 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.67/0.71 tff(9,plain,(
% 0.67/0.71 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))),
% 0.67/0.71 inference(skolemize,[status(sab)],[8])).
% 0.67/0.71 tff(10,plain,
% 0.67/0.71 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.67/0.71 tff(11,plain,
% 0.67/0.71 (^[V: $i, U: $i] : refl(((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V)))),
% 0.67/0.71 inference(bind,[status(th)],[])).
% 0.67/0.71 tff(12,plain,
% 0.67/0.71 (![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))),
% 0.67/0.71 inference(quant_intro,[status(thm)],[11])).
% 0.67/0.71 tff(13,plain,
% 0.67/0.71 (![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V)) <=> ![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(14,plain,
% 0.67/0.71 (^[V: $i, U: $i] : 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)) | c2_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V)) | c2_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V))), (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V)))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c2_1(V)) | c3_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c2_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))))),
% 0.67/0.71 inference(bind,[status(th)],[])).
% 0.67/0.71 tff(15,plain,
% 0.67/0.71 (![V: $i, U: $i] : (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c2_1(V)) | c3_1(V)) <=> ![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))),
% 0.67/0.71 inference(quant_intro,[status(thm)],[14])).
% 0.67/0.71 tff(16,axiom,(![V: $i, U: $i] : (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c2_1(V)) | c3_1(V))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause165')).
% 0.67/0.71 tff(17,plain,
% 0.67/0.71 (![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.67/0.71 tff(18,plain,
% 0.67/0.71 (![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[17, 13])).
% 0.67/0.71 tff(19,plain,(
% 0.67/0.71 ![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))),
% 0.67/0.71 inference(skolemize,[status(sab)],[18])).
% 0.67/0.71 tff(20,plain,
% 0.67/0.71 (![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[19, 12])).
% 0.67/0.71 tff(21,assumption,(~hskp4), introduced(assumption)).
% 0.67/0.71 tff(22,plain,
% 0.67/0.71 (^[U: $i] : refl((hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U))) <=> (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U))))),
% 0.67/0.71 inference(bind,[status(th)],[])).
% 0.67/0.71 tff(23,plain,
% 0.67/0.71 (![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U))) <=> ![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))),
% 0.67/0.71 inference(quant_intro,[status(thm)],[22])).
% 0.67/0.71 tff(24,plain,
% 0.67/0.71 (![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U))) <=> ![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(25,plain,
% 0.67/0.71 (^[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) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp4) <=> (((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U))) | hskp4))), rewrite((((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U))) | hskp4) <=> (hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp4) <=> (hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp4) | hskp17) <=> ((hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U))) | hskp17))), rewrite(((hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U))) | hskp17) <=> (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp4) | hskp17) <=> (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))))),
% 0.67/0.71 inference(bind,[status(th)],[])).
% 0.67/0.71 tff(26,plain,
% 0.67/0.71 (![U: $i] : ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp4) | hskp17) <=> ![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))),
% 0.67/0.71 inference(quant_intro,[status(thm)],[25])).
% 0.67/0.71 tff(27,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | c3_1(U)) | hskp4) | hskp17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause151')).
% 0.67/0.71 tff(28,plain,
% 0.67/0.71 (![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.67/0.71 tff(29,plain,
% 0.67/0.71 (![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[28, 24])).
% 0.67/0.71 tff(30,plain,(
% 0.67/0.71 ![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))),
% 0.67/0.71 inference(skolemize,[status(sab)],[29])).
% 0.67/0.71 tff(31,plain,
% 0.67/0.71 (![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[30, 23])).
% 0.67/0.71 tff(32,assumption,(~hskp17), introduced(assumption)).
% 0.67/0.71 tff(33,plain,
% 0.67/0.71 (^[U: $i] : refl((hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) <=> (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))))),
% 0.67/0.71 inference(bind,[status(th)],[])).
% 0.67/0.71 tff(34,plain,
% 0.67/0.71 (![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 0.67/0.71 inference(quant_intro,[status(thm)],[33])).
% 0.67/0.71 tff(35,plain,
% 0.67/0.71 (![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(36,plain,
% 0.67/0.71 (^[U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) <=> ((~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> (((~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)))), rewrite((((~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | hskp17) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | hskp17))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U))) | hskp17) <=> (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | hskp17) <=> (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))))),
% 0.67/0.71 inference(bind,[status(th)],[])).
% 0.67/0.71 tff(37,plain,
% 0.67/0.71 (![U: $i] : (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | hskp17) <=> ![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 0.67/0.71 inference(quant_intro,[status(thm)],[36])).
% 0.67/0.71 tff(38,axiom,(![U: $i] : (((((~c0_1(U)) | (~c1_1(U))) | (~c2_1(U))) | (~ndr1_0)) | hskp17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause155')).
% 0.67/0.71 tff(39,plain,
% 0.67/0.71 (![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.67/0.71 tff(40,plain,
% 0.67/0.71 (![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[39, 35])).
% 0.67/0.71 tff(41,plain,(
% 0.67/0.71 ![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 0.67/0.71 inference(skolemize,[status(sab)],[40])).
% 0.67/0.71 tff(42,plain,
% 0.67/0.71 (![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[41, 34])).
% 0.67/0.71 tff(43,assumption,(~hskp27), introduced(assumption)).
% 0.67/0.71 tff(44,plain,
% 0.67/0.71 (^[V: $i, U: $i] : refl((hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))) <=> (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))))),
% 0.67/0.71 inference(bind,[status(th)],[])).
% 0.67/0.71 tff(45,plain,
% 0.67/0.71 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.67/0.71 inference(quant_intro,[status(thm)],[44])).
% 0.67/0.71 tff(46,plain,
% 0.67/0.71 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(47,plain,
% 0.67/0.71 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | c2_1(V)) | hskp8) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))) | hskp8))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V))) | hskp8) <=> (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | c2_1(V)) | hskp8) <=> (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))))),
% 0.67/0.71 inference(bind,[status(th)],[])).
% 0.67/0.71 tff(48,plain,
% 0.67/0.71 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | c2_1(V)) | hskp8) <=> ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.67/0.71 inference(quant_intro,[status(thm)],[47])).
% 0.67/0.71 tff(49,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c0_1(V)) | c2_1(V)) | hskp8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause175')).
% 0.67/0.71 tff(50,plain,
% 0.67/0.71 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.67/0.71 tff(51,plain,
% 0.67/0.71 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[50, 46])).
% 0.67/0.71 tff(52,plain,(
% 0.67/0.71 ![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.67/0.71 inference(skolemize,[status(sab)],[51])).
% 0.67/0.71 tff(53,plain,
% 0.67/0.71 (![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[52, 45])).
% 0.67/0.71 tff(54,assumption,(~hskp30), introduced(assumption)).
% 0.67/0.71 tff(55,plain,
% 0.67/0.71 ((hskp30 | hskp27 | hskp6) <=> (hskp30 | hskp27 | hskp6)),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(56,plain,
% 0.67/0.71 (((hskp30 | hskp27) | hskp6) <=> (hskp30 | hskp27 | hskp6)),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(57,plain,
% 0.67/0.71 ((hskp30 | hskp27) <=> (hskp30 | hskp27)),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(58,plain,
% 0.67/0.71 (((hskp30 | hskp27) | hskp6) <=> ((hskp30 | hskp27) | hskp6)),
% 0.67/0.71 inference(monotonicity,[status(thm)],[57])).
% 0.67/0.71 tff(59,plain,
% 0.67/0.71 (((hskp30 | hskp27) | hskp6) <=> (hskp30 | hskp27 | hskp6)),
% 0.67/0.71 inference(transitivity,[status(thm)],[58, 56])).
% 0.67/0.71 tff(60,axiom,((hskp30 | hskp27) | hskp6), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause34')).
% 0.67/0.71 tff(61,plain,
% 0.67/0.71 (hskp30 | hskp27 | hskp6),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.67/0.71 tff(62,plain,
% 0.67/0.71 (hskp30 | hskp27 | hskp6),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[61, 55])).
% 0.67/0.71 tff(63,plain,
% 0.67/0.71 (hskp30 | hskp27 | hskp6),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[62, 55])).
% 0.67/0.71 tff(64,plain,
% 0.67/0.71 (hskp30 | hskp27 | hskp6),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[63, 55])).
% 0.67/0.71 tff(65,plain,
% 0.67/0.71 (hskp30 | hskp27 | hskp6),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[64, 55])).
% 0.67/0.71 tff(66,plain,
% 0.67/0.71 (hskp30 | hskp27 | hskp6),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[65, 55])).
% 0.67/0.71 tff(67,plain,
% 0.67/0.71 (hskp30 | hskp27 | hskp6),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[66, 55])).
% 0.67/0.71 tff(68,plain,
% 0.67/0.71 (hskp30 | hskp27 | hskp6),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[67, 55])).
% 0.67/0.71 tff(69,plain,
% 0.67/0.71 (hskp6),
% 0.67/0.71 inference(unit_resolution,[status(thm)],[68, 54, 43])).
% 0.67/0.71 tff(70,plain,
% 0.67/0.71 (((~hskp6) | (~c2_1(a1979))) <=> ((~hskp6) | (~c2_1(a1979)))),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(71,plain,
% 0.67/0.71 (((~c2_1(a1979)) | (~hskp6)) <=> ((~hskp6) | (~c2_1(a1979)))),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(72,axiom,((~c2_1(a1979)) | (~hskp6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause119')).
% 0.67/0.71 tff(73,plain,
% 0.67/0.71 ((~hskp6) | (~c2_1(a1979))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.67/0.71 tff(74,plain,
% 0.67/0.71 ((~hskp6) | (~c2_1(a1979))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[73, 70])).
% 0.67/0.71 tff(75,plain,
% 0.67/0.71 (~c2_1(a1979)),
% 0.67/0.71 inference(unit_resolution,[status(thm)],[74, 69])).
% 0.67/0.71 tff(76,plain,
% 0.67/0.71 (((~hskp6) | (~c0_1(a1979))) <=> ((~hskp6) | (~c0_1(a1979)))),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(77,plain,
% 0.67/0.71 (((~c0_1(a1979)) | (~hskp6)) <=> ((~hskp6) | (~c0_1(a1979)))),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(78,axiom,((~c0_1(a1979)) | (~hskp6)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause118')).
% 0.67/0.71 tff(79,plain,
% 0.67/0.71 ((~hskp6) | (~c0_1(a1979))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[78, 77])).
% 0.67/0.71 tff(80,plain,
% 0.67/0.71 ((~hskp6) | (~c0_1(a1979))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[79, 76])).
% 0.67/0.71 tff(81,plain,
% 0.67/0.71 (~c0_1(a1979)),
% 0.67/0.71 inference(unit_resolution,[status(thm)],[80, 69])).
% 0.67/0.71 tff(82,plain,
% 0.67/0.71 (((~hskp6) | c3_1(a1979)) <=> ((~hskp6) | c3_1(a1979))),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(83,axiom,((~hskp6) | c3_1(a1979)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause75')).
% 0.67/0.71 tff(84,plain,
% 0.67/0.71 ((~hskp6) | c3_1(a1979)),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[83, 82])).
% 0.67/0.71 tff(85,plain,
% 0.67/0.71 ((~hskp6) | c3_1(a1979)),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[84, 82])).
% 0.67/0.71 tff(86,plain,
% 0.67/0.71 ((~hskp6) | c3_1(a1979)),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[85, 82])).
% 0.67/0.71 tff(87,plain,
% 0.67/0.71 ((~hskp6) | c3_1(a1979)),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[86, 82])).
% 0.67/0.71 tff(88,plain,
% 0.67/0.71 ((~hskp6) | c3_1(a1979)),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[87, 82])).
% 0.67/0.71 tff(89,plain,
% 0.67/0.71 ((~hskp6) | c3_1(a1979)),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[88, 82])).
% 0.67/0.71 tff(90,plain,
% 0.67/0.71 ((~hskp6) | c3_1(a1979)),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[89, 82])).
% 0.67/0.71 tff(91,plain,
% 0.67/0.71 ((~hskp6) | c3_1(a1979)),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[90, 82])).
% 0.67/0.71 tff(92,plain,
% 0.67/0.71 (c3_1(a1979)),
% 0.67/0.71 inference(unit_resolution,[status(thm)],[91, 69])).
% 0.67/0.71 tff(93,plain,
% 0.67/0.71 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W))) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W))))),
% 0.67/0.71 inference(bind,[status(th)],[])).
% 0.67/0.71 tff(94,plain,
% 0.67/0.71 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.71 inference(quant_intro,[status(thm)],[93])).
% 0.67/0.71 tff(95,plain,
% 0.67/0.71 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(96,plain,
% 0.67/0.71 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c0_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(W))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c3_1(W))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c3_1(W)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c3_1(W))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(W))) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c3_1(W))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c3_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c3_1(W)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c3_1(W))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c3_1(W))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V)) | (~c3_1(W))) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c3_1(W)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c3_1(W))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c3_1(W))) | c2_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c0_1(V)) | (~c3_1(W))) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | (~c3_1(W)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | (~c3_1(W))))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | (~c3_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | (~c3_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c3_1(W)))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c3_1(W))))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))))),
% 0.67/0.71 inference(bind,[status(th)],[])).
% 0.67/0.71 tff(97,plain,
% 0.67/0.71 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.71 inference(quant_intro,[status(thm)],[96])).
% 0.67/0.71 tff(98,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause194')).
% 0.67/0.71 tff(99,plain,
% 0.67/0.71 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.67/0.71 tff(100,plain,
% 0.67/0.71 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[99, 95])).
% 0.67/0.71 tff(101,plain,(
% 0.67/0.71 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.71 inference(skolemize,[status(sab)],[100])).
% 0.67/0.71 tff(102,plain,
% 0.67/0.71 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[101, 94])).
% 0.67/0.71 tff(103,assumption,(hskp4), introduced(assumption)).
% 0.67/0.71 tff(104,plain,
% 0.67/0.71 (((~hskp4) | (~c2_1(a1975))) <=> ((~hskp4) | (~c2_1(a1975)))),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(105,plain,
% 0.67/0.71 (((~c2_1(a1975)) | (~hskp4)) <=> ((~hskp4) | (~c2_1(a1975)))),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(106,axiom,((~c2_1(a1975)) | (~hskp4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause123')).
% 0.67/0.71 tff(107,plain,
% 0.67/0.71 ((~hskp4) | (~c2_1(a1975))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[106, 105])).
% 0.67/0.71 tff(108,plain,
% 0.67/0.71 ((~hskp4) | (~c2_1(a1975))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[107, 104])).
% 0.67/0.71 tff(109,plain,
% 0.67/0.71 (~c2_1(a1975)),
% 0.67/0.71 inference(unit_resolution,[status(thm)],[108, 103])).
% 0.67/0.71 tff(110,plain,
% 0.67/0.71 (((~hskp4) | (~c1_1(a1975))) <=> ((~hskp4) | (~c1_1(a1975)))),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(111,plain,
% 0.67/0.71 (((~c1_1(a1975)) | (~hskp4)) <=> ((~hskp4) | (~c1_1(a1975)))),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(112,axiom,((~c1_1(a1975)) | (~hskp4)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause122')).
% 0.67/0.71 tff(113,plain,
% 0.67/0.71 ((~hskp4) | (~c1_1(a1975))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.67/0.71 tff(114,plain,
% 0.67/0.71 ((~hskp4) | (~c1_1(a1975))),
% 0.67/0.71 inference(modus_ponens,[status(thm)],[113, 110])).
% 0.67/0.71 tff(115,plain,
% 0.67/0.71 (~c1_1(a1975)),
% 0.67/0.71 inference(unit_resolution,[status(thm)],[114, 103])).
% 0.67/0.71 tff(116,plain,
% 0.67/0.71 (^[U: $i] : refl((hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U))) <=> (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U))))),
% 0.67/0.71 inference(bind,[status(th)],[])).
% 0.67/0.71 tff(117,plain,
% 0.67/0.71 (![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U))) <=> ![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))),
% 0.67/0.71 inference(quant_intro,[status(thm)],[116])).
% 0.67/0.71 tff(118,plain,
% 0.67/0.71 (![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U))) <=> ![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))),
% 0.67/0.71 inference(rewrite,[status(thm)],[])).
% 0.67/0.71 tff(119,plain,
% 0.67/0.71 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c0_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c0_1(U)))), ((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) <=> (((~ndr1_0) | (~c0_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c0_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U)))), ((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c0_1(U))))), (((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | 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) | c1_1(U) | c2_1(U) | (~c0_1(U)))), (((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U))))), ((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp30) <=> (((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U))) | hskp30))), rewrite((((~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U))) | hskp30) <=> (hskp30 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))), ((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp30) <=> (hskp30 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U))))), (((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp30) | hskp5) <=> ((hskp30 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U))) | hskp5))), rewrite(((hskp30 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U))) | hskp5) <=> (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))), (((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp30) | hskp5) <=> (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))))),
% 0.67/0.72 inference(bind,[status(th)],[])).
% 0.67/0.72 tff(120,plain,
% 0.67/0.72 (![U: $i] : ((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp30) | hskp5) <=> ![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))),
% 0.67/0.72 inference(quant_intro,[status(thm)],[119])).
% 0.67/0.72 tff(121,axiom,(![U: $i] : ((((((~c0_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp30) | hskp5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause134')).
% 0.67/0.72 tff(122,plain,
% 0.67/0.72 (![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[121, 120])).
% 0.67/0.72 tff(123,plain,
% 0.67/0.72 (![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[122, 118])).
% 0.67/0.72 tff(124,plain,(
% 0.67/0.72 ![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))),
% 0.67/0.72 inference(skolemize,[status(sab)],[123])).
% 0.67/0.72 tff(125,plain,
% 0.67/0.72 (![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[124, 117])).
% 0.67/0.72 tff(126,plain,
% 0.67/0.72 (((~hskp4) | c0_1(a1975)) <=> ((~hskp4) | c0_1(a1975))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(127,axiom,((~hskp4) | c0_1(a1975)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause77')).
% 0.67/0.72 tff(128,plain,
% 0.67/0.72 ((~hskp4) | c0_1(a1975)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[127, 126])).
% 0.67/0.72 tff(129,plain,
% 0.67/0.72 ((~hskp4) | c0_1(a1975)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[128, 126])).
% 0.67/0.72 tff(130,plain,
% 0.67/0.72 ((~hskp4) | c0_1(a1975)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[129, 126])).
% 0.67/0.72 tff(131,plain,
% 0.67/0.72 ((~hskp4) | c0_1(a1975)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[130, 126])).
% 0.67/0.72 tff(132,plain,
% 0.67/0.72 ((~hskp4) | c0_1(a1975)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[131, 126])).
% 0.67/0.72 tff(133,plain,
% 0.67/0.72 ((~hskp4) | c0_1(a1975)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[132, 126])).
% 0.67/0.72 tff(134,plain,
% 0.67/0.72 ((~hskp4) | c0_1(a1975)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[133, 126])).
% 0.67/0.72 tff(135,plain,
% 0.67/0.72 ((~hskp4) | c0_1(a1975)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[134, 126])).
% 0.67/0.72 tff(136,plain,
% 0.67/0.72 (c0_1(a1975)),
% 0.67/0.72 inference(unit_resolution,[status(thm)],[135, 103])).
% 0.67/0.72 tff(137,assumption,(~ndr1_0), introduced(assumption)).
% 0.67/0.72 tff(138,plain,
% 0.67/0.72 ((ndr1_0 | (~hskp6)) <=> (ndr1_0 | (~hskp6))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(139,plain,
% 0.67/0.72 (((~hskp6) | ndr1_0) <=> (ndr1_0 | (~hskp6))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(140,axiom,((~hskp6) | ndr1_0), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause25')).
% 0.67/0.72 tff(141,plain,
% 0.67/0.72 (ndr1_0 | (~hskp6)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[140, 139])).
% 0.67/0.72 tff(142,plain,
% 0.67/0.72 (ndr1_0 | (~hskp6)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[141, 138])).
% 0.67/0.72 tff(143,plain,
% 0.67/0.72 (~hskp6),
% 0.67/0.72 inference(unit_resolution,[status(thm)],[142, 137])).
% 0.67/0.72 tff(144,plain,
% 0.67/0.72 (((~hskp30) | ndr1_0) <=> ((~hskp30) | ndr1_0)),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(145,axiom,((~hskp30) | ndr1_0), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause1')).
% 0.67/0.72 tff(146,plain,
% 0.67/0.72 ((~hskp30) | ndr1_0),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[145, 144])).
% 0.67/0.72 tff(147,plain,
% 0.67/0.72 ((~hskp30) | ndr1_0),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[146, 144])).
% 0.67/0.72 tff(148,plain,
% 0.67/0.72 ((~hskp30) | ndr1_0),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[147, 144])).
% 0.67/0.72 tff(149,plain,
% 0.67/0.72 ((~hskp30) | ndr1_0),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[148, 144])).
% 0.67/0.72 tff(150,plain,
% 0.67/0.72 ((~hskp30) | ndr1_0),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[149, 144])).
% 0.67/0.72 tff(151,plain,
% 0.67/0.72 ((~hskp30) | ndr1_0),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[150, 144])).
% 0.67/0.72 tff(152,plain,
% 0.67/0.72 ((~hskp30) | ndr1_0),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[151, 144])).
% 0.67/0.72 tff(153,plain,
% 0.67/0.72 ((~hskp30) | ndr1_0),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[152, 144])).
% 0.67/0.72 tff(154,plain,
% 0.67/0.72 (~hskp30),
% 0.67/0.72 inference(unit_resolution,[status(thm)],[153, 137])).
% 0.67/0.72 tff(155,plain,
% 0.67/0.72 ((ndr1_0 | (~hskp27)) <=> (ndr1_0 | (~hskp27))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(156,plain,
% 0.67/0.72 (((~hskp27) | ndr1_0) <=> (ndr1_0 | (~hskp27))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(157,axiom,((~hskp27) | ndr1_0), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause4')).
% 0.67/0.72 tff(158,plain,
% 0.67/0.72 (ndr1_0 | (~hskp27)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[157, 156])).
% 0.67/0.72 tff(159,plain,
% 0.67/0.72 (ndr1_0 | (~hskp27)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[158, 155])).
% 0.67/0.72 tff(160,plain,
% 0.67/0.72 (~hskp27),
% 0.67/0.72 inference(unit_resolution,[status(thm)],[159, 137])).
% 0.67/0.72 tff(161,plain,
% 0.67/0.72 ($false),
% 0.67/0.72 inference(unit_resolution,[status(thm)],[68, 160, 154, 143])).
% 0.67/0.72 tff(162,plain,(ndr1_0), inference(lemma,lemma(discharge,[]))).
% 0.67/0.72 tff(163,plain,
% 0.67/0.72 (((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | (hskp30 | hskp5 | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)))) <=> ((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | hskp30 | hskp5 | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(164,plain,
% 0.67/0.72 ((hskp30 | hskp5 | (~ndr1_0) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975))) <=> (hskp30 | hskp5 | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(165,plain,
% 0.67/0.72 (((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | (hskp30 | hskp5 | (~ndr1_0) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)))) <=> ((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | (hskp30 | hskp5 | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975))))),
% 0.67/0.72 inference(monotonicity,[status(thm)],[164])).
% 0.67/0.72 tff(166,plain,
% 0.67/0.72 (((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | (hskp30 | hskp5 | (~ndr1_0) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)))) <=> ((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | hskp30 | hskp5 | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)))),
% 0.67/0.72 inference(transitivity,[status(thm)],[165, 163])).
% 0.67/0.72 tff(167,plain,
% 0.67/0.72 ((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | (hskp30 | hskp5 | (~ndr1_0) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)))),
% 0.67/0.72 inference(quant_inst,[status(thm)],[])).
% 0.67/0.72 tff(168,plain,
% 0.67/0.72 ((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | hskp30 | hskp5 | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975))),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[167, 166])).
% 0.67/0.72 tff(169,plain,
% 0.67/0.72 (hskp5),
% 0.67/0.72 inference(unit_resolution,[status(thm)],[168, 54, 162, 136, 115, 109, 125])).
% 0.67/0.72 tff(170,plain,
% 0.67/0.72 (((~hskp5) | (~c2_1(a1977))) <=> ((~hskp5) | (~c2_1(a1977)))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(171,plain,
% 0.67/0.72 (((~c2_1(a1977)) | (~hskp5)) <=> ((~hskp5) | (~c2_1(a1977)))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(172,axiom,((~c2_1(a1977)) | (~hskp5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause120')).
% 0.67/0.72 tff(173,plain,
% 0.67/0.72 ((~hskp5) | (~c2_1(a1977))),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.67/0.72 tff(174,plain,
% 0.67/0.72 ((~hskp5) | (~c2_1(a1977))),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[173, 170])).
% 0.67/0.72 tff(175,plain,
% 0.67/0.72 (~c2_1(a1977)),
% 0.67/0.72 inference(unit_resolution,[status(thm)],[174, 169])).
% 0.67/0.72 tff(176,assumption,(~c2_1(a1979)), introduced(assumption)).
% 0.67/0.72 tff(177,assumption,(~c0_1(a1979)), introduced(assumption)).
% 0.67/0.72 tff(178,plain,
% 0.67/0.72 (((~hskp5) | c1_1(a1977)) <=> ((~hskp5) | c1_1(a1977))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(179,axiom,((~hskp5) | c1_1(a1977)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause76')).
% 0.67/0.72 tff(180,plain,
% 0.67/0.72 ((~hskp5) | c1_1(a1977)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[179, 178])).
% 0.67/0.72 tff(181,plain,
% 0.67/0.72 ((~hskp5) | c1_1(a1977)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[180, 178])).
% 0.67/0.72 tff(182,plain,
% 0.67/0.72 ((~hskp5) | c1_1(a1977)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[181, 178])).
% 0.67/0.72 tff(183,plain,
% 0.67/0.72 ((~hskp5) | c1_1(a1977)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[182, 178])).
% 0.67/0.72 tff(184,plain,
% 0.67/0.72 ((~hskp5) | c1_1(a1977)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[183, 178])).
% 0.67/0.72 tff(185,plain,
% 0.67/0.72 ((~hskp5) | c1_1(a1977)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[184, 178])).
% 0.67/0.72 tff(186,plain,
% 0.67/0.72 ((~hskp5) | c1_1(a1977)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[185, 178])).
% 0.67/0.72 tff(187,plain,
% 0.67/0.72 ((~hskp5) | c1_1(a1977)),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[186, 178])).
% 0.67/0.72 tff(188,plain,
% 0.67/0.72 (c1_1(a1977)),
% 0.67/0.72 inference(unit_resolution,[status(thm)],[187, 169])).
% 0.67/0.72 tff(189,assumption,(c3_1(a1979)), introduced(assumption)).
% 0.67/0.72 tff(190,plain,
% 0.67/0.72 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1979)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1979)))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(191,plain,
% 0.67/0.72 (((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979))) <=> (c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1979)))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(192,plain,
% 0.67/0.72 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1979))))),
% 0.67/0.72 inference(monotonicity,[status(thm)],[191])).
% 0.67/0.72 tff(193,plain,
% 0.67/0.72 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1979)))),
% 0.67/0.72 inference(transitivity,[status(thm)],[192, 190])).
% 0.67/0.72 tff(194,plain,
% 0.67/0.72 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))),
% 0.67/0.72 inference(quant_inst,[status(thm)],[])).
% 0.67/0.72 tff(195,plain,
% 0.67/0.72 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1979))),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[194, 193])).
% 0.67/0.72 tff(196,plain,
% 0.67/0.72 (~c0_1(a1977)),
% 0.67/0.72 inference(unit_resolution,[status(thm)],[195, 162, 189, 188, 136, 177, 176, 175, 115, 109, 102])).
% 0.67/0.72 tff(197,plain,
% 0.67/0.72 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_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) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W))))),
% 0.67/0.72 inference(bind,[status(th)],[])).
% 0.67/0.72 tff(198,plain,
% 0.67/0.72 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_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) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.72 inference(quant_intro,[status(thm)],[197])).
% 0.67/0.72 tff(199,plain,
% 0.67/0.72 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_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) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(200,plain,
% 0.67/0.72 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c1_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))) | (~c3_1(W))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c3_1(W)))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c3_1(W))))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c2_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c3_1(W))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c3_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c3_1(W)))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c3_1(W))))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c3_1(W))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c1_1(V)) | (~c3_1(W))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c3_1(W)))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c3_1(W))))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c3_1(W))) | c3_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c1_1(V)) | (~c3_1(W))) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | (~c3_1(W)))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | (~c3_1(W))))), ((((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | (~c3_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | (~c3_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | (~c3_1(W)))), ((((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | (~c3_1(W))))), (((((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))), (((((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))))),
% 0.67/0.72 inference(bind,[status(th)],[])).
% 0.67/0.72 tff(201,plain,
% 0.67/0.72 (![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.72 inference(quant_intro,[status(thm)],[200])).
% 0.67/0.72 tff(202,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(W))) | c2_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause193')).
% 0.67/0.72 tff(203,plain,
% 0.67/0.72 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[202, 201])).
% 0.67/0.72 tff(204,plain,
% 0.67/0.72 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[203, 199])).
% 0.67/0.72 tff(205,plain,(
% 0.67/0.72 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.72 inference(skolemize,[status(sab)],[204])).
% 0.67/0.72 tff(206,plain,
% 0.67/0.72 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[205, 198])).
% 0.67/0.72 tff(207,plain,
% 0.67/0.72 (((~hskp5) | (~c3_1(a1977))) <=> ((~hskp5) | (~c3_1(a1977)))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(208,plain,
% 0.67/0.72 (((~c3_1(a1977)) | (~hskp5)) <=> ((~hskp5) | (~c3_1(a1977)))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(209,axiom,((~c3_1(a1977)) | (~hskp5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause121')).
% 0.67/0.72 tff(210,plain,
% 0.67/0.72 ((~hskp5) | (~c3_1(a1977))),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[209, 208])).
% 0.67/0.72 tff(211,plain,
% 0.67/0.72 ((~hskp5) | (~c3_1(a1977))),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[210, 207])).
% 0.67/0.72 tff(212,plain,
% 0.67/0.72 (~c3_1(a1977)),
% 0.67/0.72 inference(unit_resolution,[status(thm)],[211, 169])).
% 0.67/0.72 tff(213,plain,
% 0.67/0.72 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c0_1(a1979) | c2_1(a1979) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | c0_1(a1977) | (~c3_1(a1979)) | (~c1_1(a1979)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c0_1(a1979) | c2_1(a1979) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | c0_1(a1977) | (~c3_1(a1979)) | (~c1_1(a1979)))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(214,plain,
% 0.67/0.72 (((~ndr1_0) | c2_1(a1979) | (~c3_1(a1979)) | (~c1_1(a1979)) | c3_1(a1977) | c0_1(a1977) | (~c1_1(a1977)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979))) <=> (c0_1(a1979) | c2_1(a1979) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | c0_1(a1977) | (~c3_1(a1979)) | (~c1_1(a1979)))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(215,plain,
% 0.67/0.72 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1979) | (~c3_1(a1979)) | (~c1_1(a1979)) | c3_1(a1977) | c0_1(a1977) | (~c1_1(a1977)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c0_1(a1979) | c2_1(a1979) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | c0_1(a1977) | (~c3_1(a1979)) | (~c1_1(a1979))))),
% 0.67/0.72 inference(monotonicity,[status(thm)],[214])).
% 0.67/0.72 tff(216,plain,
% 0.67/0.72 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1979) | (~c3_1(a1979)) | (~c1_1(a1979)) | c3_1(a1977) | c0_1(a1977) | (~c1_1(a1977)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c0_1(a1979) | c2_1(a1979) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | c0_1(a1977) | (~c3_1(a1979)) | (~c1_1(a1979)))),
% 0.67/0.72 inference(transitivity,[status(thm)],[215, 213])).
% 0.67/0.72 tff(217,plain,
% 0.67/0.72 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1979) | (~c3_1(a1979)) | (~c1_1(a1979)) | c3_1(a1977) | c0_1(a1977) | (~c1_1(a1977)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))),
% 0.67/0.72 inference(quant_inst,[status(thm)],[])).
% 0.67/0.72 tff(218,plain,
% 0.67/0.72 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c0_1(a1979) | c2_1(a1979) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | c0_1(a1977) | (~c3_1(a1979)) | (~c1_1(a1979))),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[217, 216])).
% 0.67/0.72 tff(219,plain,
% 0.67/0.72 (~c1_1(a1979)),
% 0.67/0.72 inference(unit_resolution,[status(thm)],[218, 162, 189, 188, 177, 176, 212, 206, 196])).
% 0.67/0.72 tff(220,plain,
% 0.67/0.72 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W))) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W))))),
% 0.67/0.72 inference(bind,[status(th)],[])).
% 0.67/0.72 tff(221,plain,
% 0.67/0.72 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.72 inference(quant_intro,[status(thm)],[220])).
% 0.67/0.72 tff(222,plain,
% 0.67/0.72 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.72 inference(rewrite,[status(thm)],[])).
% 0.67/0.72 tff(223,plain,
% 0.67/0.72 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c1_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)))), ((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c1_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(V)))), ((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(V))))), (((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(V))) | (~c3_1(W))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c3_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(V)) | (~c3_1(W)))), (((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c3_1(V)) | (~c3_1(W))))), ((((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c3_1(V)) | (~c3_1(W))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c3_1(V)) | (~c3_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(V)) | (~c3_1(W)))), ((((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(V)) | (~c3_1(W))))), (((((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(V)) | (~c3_1(W))) | c3_1(U)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c3_1(V)) | (~c3_1(W))) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | (~c3_1(V)) | (~c3_1(W)))), (((((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | (~c3_1(V)) | (~c3_1(W))))), ((((((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c3_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | (~c3_1(V)) | (~c3_1(W))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | (~c3_1(V)) | (~c3_1(W))) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | (~c3_1(V)) | (~c3_1(W)))), ((((((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c3_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | (~c3_1(V)) | (~c3_1(W))))), (((((((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | (~c3_1(V)) | (~c3_1(W))) | c2_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | (~c3_1(V)) | (~c3_1(W))) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | (~c3_1(W)))), (((((((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | (~c3_1(W))))), ((((((((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | (~c3_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | (~c3_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | (~c3_1(W)))), ((((((((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | (~c3_1(W))))), (((((((((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))), (((((((((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))))),
% 0.67/0.72 inference(bind,[status(th)],[])).
% 0.67/0.72 tff(224,plain,
% 0.67/0.72 (![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.72 inference(quant_intro,[status(thm)],[223])).
% 0.67/0.72 tff(225,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~ndr1_0)) | (~c3_1(V))) | (~c3_1(W))) | c2_1(U)) | c3_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c2_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause190')).
% 0.67/0.72 tff(226,plain,
% 0.67/0.72 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.72 inference(modus_ponens,[status(thm)],[225, 224])).
% 0.67/0.72 tff(227,plain,
% 0.67/0.73 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.73 inference(modus_ponens,[status(thm)],[226, 222])).
% 0.67/0.73 tff(228,plain,(
% 0.67/0.73 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.73 inference(skolemize,[status(sab)],[227])).
% 0.67/0.73 tff(229,plain,
% 0.67/0.73 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.67/0.73 inference(modus_ponens,[status(thm)],[228, 221])).
% 0.67/0.73 tff(230,plain,
% 0.67/0.73 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c3_1(a1979)) | c1_1(a1979))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c3_1(a1979)) | c1_1(a1979))),
% 0.67/0.73 inference(rewrite,[status(thm)],[])).
% 0.67/0.73 tff(231,plain,
% 0.67/0.73 (((~ndr1_0) | c2_1(a1977) | c3_1(a1977) | (~c1_1(a1977)) | c1_1(a1979) | c2_1(a1979) | (~c3_1(a1979)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979))) <=> (c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c3_1(a1979)) | c1_1(a1979))),
% 0.67/0.73 inference(rewrite,[status(thm)],[])).
% 0.67/0.73 tff(232,plain,
% 0.67/0.73 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1977) | c3_1(a1977) | (~c1_1(a1977)) | c1_1(a1979) | c2_1(a1979) | (~c3_1(a1979)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c3_1(a1979)) | c1_1(a1979)))),
% 0.67/0.73 inference(monotonicity,[status(thm)],[231])).
% 0.67/0.73 tff(233,plain,
% 0.67/0.73 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1977) | c3_1(a1977) | (~c1_1(a1977)) | c1_1(a1979) | c2_1(a1979) | (~c3_1(a1979)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c3_1(a1979)) | c1_1(a1979))),
% 0.67/0.73 inference(transitivity,[status(thm)],[232, 230])).
% 0.67/0.73 tff(234,plain,
% 0.67/0.73 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1977) | c3_1(a1977) | (~c1_1(a1977)) | c1_1(a1979) | c2_1(a1979) | (~c3_1(a1979)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))),
% 0.67/0.73 inference(quant_inst,[status(thm)],[])).
% 0.67/0.73 tff(235,plain,
% 0.67/0.73 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c3_1(a1979)) | c1_1(a1979)),
% 0.67/0.73 inference(modus_ponens,[status(thm)],[234, 233])).
% 0.67/0.73 tff(236,plain,
% 0.67/0.73 ($false),
% 0.67/0.73 inference(unit_resolution,[status(thm)],[235, 162, 189, 188, 177, 176, 175, 212, 229, 219])).
% 0.67/0.73 tff(237,plain,((~hskp4) | (~c3_1(a1979)) | c0_1(a1979) | c2_1(a1979) | hskp30), inference(lemma,lemma(discharge,[]))).
% 0.67/0.73 tff(238,plain,
% 0.67/0.73 (~hskp4),
% 0.67/0.73 inference(unit_resolution,[status(thm)],[237, 92, 81, 75, 54])).
% 0.67/0.73 tff(239,assumption,(hskp18), introduced(assumption)).
% 0.67/0.73 tff(240,plain,
% 0.67/0.73 (((~hskp18) | (~c0_1(a2000))) <=> ((~hskp18) | (~c0_1(a2000)))),
% 0.67/0.73 inference(rewrite,[status(thm)],[])).
% 0.67/0.73 tff(241,plain,
% 0.67/0.73 (((~c0_1(a2000)) | (~hskp18)) <=> ((~hskp18) | (~c0_1(a2000)))),
% 0.67/0.73 inference(rewrite,[status(thm)],[])).
% 0.67/0.73 tff(242,axiom,((~c0_1(a2000)) | (~hskp18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause98')).
% 0.67/0.73 tff(243,plain,
% 0.67/0.73 ((~hskp18) | (~c0_1(a2000))),
% 0.67/0.73 inference(modus_ponens,[status(thm)],[242, 241])).
% 0.67/0.73 tff(244,plain,
% 0.67/0.73 ((~hskp18) | (~c0_1(a2000))),
% 0.67/0.73 inference(modus_ponens,[status(thm)],[243, 240])).
% 0.67/0.73 tff(245,plain,
% 0.67/0.73 (~c0_1(a2000)),
% 0.67/0.73 inference(unit_resolution,[status(thm)],[244, 239])).
% 0.67/0.73 tff(246,plain,
% 0.67/0.73 (((~hskp18) | (~c1_1(a2000))) <=> ((~hskp18) | (~c1_1(a2000)))),
% 0.67/0.73 inference(rewrite,[status(thm)],[])).
% 0.67/0.73 tff(247,plain,
% 0.67/0.73 (((~c1_1(a2000)) | (~hskp18)) <=> ((~hskp18) | (~c1_1(a2000)))),
% 0.67/0.73 inference(rewrite,[status(thm)],[])).
% 0.67/0.73 tff(248,axiom,((~c1_1(a2000)) | (~hskp18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause99')).
% 0.67/0.73 tff(249,plain,
% 0.67/0.73 ((~hskp18) | (~c1_1(a2000))),
% 0.67/0.73 inference(modus_ponens,[status(thm)],[248, 247])).
% 0.67/0.73 tff(250,plain,
% 0.67/0.73 ((~hskp18) | (~c1_1(a2000))),
% 0.67/0.73 inference(modus_ponens,[status(thm)],[249, 246])).
% 0.67/0.73 tff(251,plain,
% 0.67/0.73 (~c1_1(a2000)),
% 0.67/0.73 inference(unit_resolution,[status(thm)],[250, 239])).
% 0.67/0.73 tff(252,plain,
% 0.67/0.73 (((~hskp18) | (~c3_1(a2000))) <=> ((~hskp18) | (~c3_1(a2000)))),
% 0.67/0.73 inference(rewrite,[status(thm)],[])).
% 0.67/0.73 tff(253,plain,
% 0.67/0.73 (((~c3_1(a2000)) | (~hskp18)) <=> ((~hskp18) | (~c3_1(a2000)))),
% 0.67/0.73 inference(rewrite,[status(thm)],[])).
% 0.67/0.73 tff(254,axiom,((~c3_1(a2000)) | (~hskp18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause100')).
% 0.67/0.73 tff(255,plain,
% 0.67/0.73 ((~hskp18) | (~c3_1(a2000))),
% 0.67/0.73 inference(modus_ponens,[status(thm)],[254, 253])).
% 0.67/0.73 tff(256,plain,
% 0.67/0.73 ((~hskp18) | (~c3_1(a2000))),
% 0.67/0.73 inference(modus_ponens,[status(thm)],[255, 252])).
% 0.67/0.73 tff(257,plain,
% 0.67/0.73 (~c3_1(a2000)),
% 0.67/0.73 inference(unit_resolution,[status(thm)],[256, 239])).
% 0.67/0.73 tff(258,plain,
% 0.67/0.73 (^[V: $i, U: $i] : refl((hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)) <=> (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)))),
% 0.67/0.73 inference(bind,[status(th)],[])).
% 0.67/0.73 tff(259,plain,
% 0.67/0.73 (![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)) <=> ![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.67/0.73 inference(quant_intro,[status(thm)],[258])).
% 0.67/0.73 tff(260,plain,
% 0.67/0.73 (![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)) <=> ![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.67/0.73 inference(rewrite,[status(thm)],[])).
% 0.67/0.73 tff(261,plain,
% 0.67/0.73 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~ndr1_0) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U))), ((((~ndr1_0) | c0_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c0_1(U)) | c2_1(U)))), rewrite((((~ndr1_0) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U))), ((((~ndr1_0) | c0_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U)))), (((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) <=> (((~ndr1_0) | c0_1(U) | c2_1(U)) | c3_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U))), (((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U)))), ((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U)) | c0_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c0_1(V))), ((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c0_1(V)))), (((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c0_1(V)) | c1_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c1_1(V) | c0_1(V))), (((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c1_1(V) | c0_1(V)))), ((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c1_1(V) | c0_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c1_1(V) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))), ((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)))), (((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp27) <=> (((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)) | hskp27))), rewrite((((~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V)) | hskp27) <=> (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))), (((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp27) <=> (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))))),
% 0.67/0.73 inference(bind,[status(th)],[])).
% 0.67/0.73 tff(262,plain,
% 0.67/0.73 (![V: $i, U: $i] : ((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp27) <=> ![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.67/0.73 inference(quant_intro,[status(thm)],[261])).
% 0.67/0.73 tff(263,axiom,(![V: $i, U: $i] : ((((((((~ndr1_0) | c0_1(U)) | c2_1(U)) | c3_1(U)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause160')).
% 0.67/0.73 tff(264,plain,
% 0.67/0.73 (![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.67/0.73 inference(modus_ponens,[status(thm)],[263, 262])).
% 0.67/0.73 tff(265,plain,
% 0.67/0.73 (![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.67/0.73 inference(modus_ponens,[status(thm)],[264, 260])).
% 0.67/0.73 tff(266,plain,(
% 0.67/0.73 ![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.67/0.73 inference(skolemize,[status(sab)],[265])).
% 0.67/0.73 tff(267,plain,
% 0.67/0.73 (![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.67/0.73 inference(modus_ponens,[status(thm)],[266, 259])).
% 0.67/0.73 tff(268,assumption,(~c3_1(a2000)), introduced(assumption)).
% 0.67/0.73 tff(269,assumption,(~c1_1(a2000)), introduced(assumption)).
% 0.67/0.73 tff(270,assumption,(~c0_1(a2000)), introduced(assumption)).
% 0.67/0.73 tff(271,plain,
% 0.67/0.73 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp27 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | (~ndr1_0) | c2_1(a2000))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp27 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | (~ndr1_0) | c2_1(a2000))),
% 0.67/0.73 inference(rewrite,[status(thm)],[])).
% 0.67/0.73 tff(272,plain,
% 0.67/0.73 ((hskp27 | (~ndr1_0) | c0_1(a2000) | c2_1(a2000) | c3_1(a2000) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000)) <=> (hskp27 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | (~ndr1_0) | c2_1(a2000))),
% 0.67/0.73 inference(rewrite,[status(thm)],[])).
% 0.67/0.73 tff(273,plain,
% 0.67/0.73 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp27 | (~ndr1_0) | c0_1(a2000) | c2_1(a2000) | c3_1(a2000) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp27 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | (~ndr1_0) | c2_1(a2000)))),
% 0.67/0.73 inference(monotonicity,[status(thm)],[272])).
% 0.67/0.73 tff(274,plain,
% 0.67/0.73 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp27 | (~ndr1_0) | c0_1(a2000) | c2_1(a2000) | c3_1(a2000) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp27 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | (~ndr1_0) | c2_1(a2000))),
% 0.67/0.73 inference(transitivity,[status(thm)],[273, 271])).
% 0.67/0.73 tff(275,plain,
% 0.67/0.73 ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp27 | (~ndr1_0) | c0_1(a2000) | c2_1(a2000) | c3_1(a2000) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000))),
% 0.75/0.73 inference(quant_inst,[status(thm)],[])).
% 0.75/0.73 tff(276,plain,
% 0.75/0.73 ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp27 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | (~ndr1_0) | c2_1(a2000)),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[275, 274])).
% 0.75/0.73 tff(277,plain,
% 0.75/0.73 (c2_1(a2000)),
% 0.75/0.73 inference(unit_resolution,[status(thm)],[276, 162, 43, 270, 269, 268, 267])).
% 0.75/0.73 tff(278,plain,
% 0.75/0.73 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W))) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W))))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(279,plain,
% 0.75/0.73 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[278])).
% 0.75/0.73 tff(280,plain,
% 0.75/0.73 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W))) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(281,plain,
% 0.75/0.73 (^[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)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(W))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W))) | c1_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(W))) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(W)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(W))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(W))) | c3_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(W))) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | (~c3_1(W)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | (~c3_1(W))))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c3_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | (~c3_1(W))) | c0_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | (~c3_1(W))) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | (~c3_1(W)))), ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c3_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | (~c3_1(W))))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | (~c3_1(W))) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))), (((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(282,plain,
% 0.75/0.73 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[281])).
% 0.75/0.73 tff(283,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(W))) | c2_1(U)) | c1_1(V)) | c3_1(V)) | c0_1(W)) | c2_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause195')).
% 0.75/0.73 tff(284,plain,
% 0.75/0.73 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[283, 282])).
% 0.75/0.73 tff(285,plain,
% 0.75/0.73 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[284, 280])).
% 0.75/0.73 tff(286,plain,(
% 0.75/0.73 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.75/0.73 inference(skolemize,[status(sab)],[285])).
% 0.75/0.73 tff(287,plain,
% 0.75/0.73 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[286, 279])).
% 0.75/0.73 tff(288,plain,
% 0.75/0.73 (^[U: $i] : refl((hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))) <=> (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(289,plain,
% 0.75/0.73 (![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))) <=> ![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[288])).
% 0.75/0.73 tff(290,plain,
% 0.75/0.73 (![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))) <=> ![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(291,plain,
% 0.75/0.73 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite(((~c2_1(U)) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)))), ((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) <=> (((~ndr1_0) | (~c2_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U)))), ((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c2_1(U))))), (((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))), (((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))))), ((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp4) <=> (((~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))) | hskp4))), rewrite((((~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))) | hskp4) <=> (hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))), ((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp4) <=> (hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))))), (((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp4) | hskp27) <=> ((hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))) | hskp27))), rewrite(((hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U))) | hskp27) <=> (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))), (((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp4) | hskp27) <=> (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))))),
% 0.75/0.73 inference(bind,[status(th)],[])).
% 0.75/0.73 tff(292,plain,
% 0.75/0.73 (![U: $i] : ((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp4) | hskp27) <=> ![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))),
% 0.75/0.73 inference(quant_intro,[status(thm)],[291])).
% 0.75/0.73 tff(293,axiom,(![U: $i] : ((((((~c2_1(U)) | (~ndr1_0)) | c0_1(U)) | c1_1(U)) | hskp4) | hskp27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause130')).
% 0.75/0.73 tff(294,plain,
% 0.75/0.73 (![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[293, 292])).
% 0.75/0.73 tff(295,plain,
% 0.75/0.73 (![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[294, 290])).
% 0.75/0.73 tff(296,plain,(
% 0.75/0.73 ![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))),
% 0.75/0.73 inference(skolemize,[status(sab)],[295])).
% 0.75/0.73 tff(297,plain,
% 0.75/0.73 (![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[296, 289])).
% 0.75/0.73 tff(298,plain,
% 0.75/0.73 (((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | c0_1(a2000) | c1_1(a2000) | (~ndr1_0) | (~c2_1(a2000)))) <=> ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp27 | hskp4 | c0_1(a2000) | c1_1(a2000) | (~ndr1_0) | (~c2_1(a2000)))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(299,plain,
% 0.75/0.73 ((hskp27 | hskp4 | (~ndr1_0) | c1_1(a2000) | c0_1(a2000) | (~c2_1(a2000))) <=> (hskp27 | hskp4 | c0_1(a2000) | c1_1(a2000) | (~ndr1_0) | (~c2_1(a2000)))),
% 0.75/0.73 inference(rewrite,[status(thm)],[])).
% 0.75/0.73 tff(300,plain,
% 0.75/0.73 (((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | (~ndr1_0) | c1_1(a2000) | c0_1(a2000) | (~c2_1(a2000)))) <=> ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | c0_1(a2000) | c1_1(a2000) | (~ndr1_0) | (~c2_1(a2000))))),
% 0.75/0.73 inference(monotonicity,[status(thm)],[299])).
% 0.75/0.73 tff(301,plain,
% 0.75/0.73 (((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | (~ndr1_0) | c1_1(a2000) | c0_1(a2000) | (~c2_1(a2000)))) <=> ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp27 | hskp4 | c0_1(a2000) | c1_1(a2000) | (~ndr1_0) | (~c2_1(a2000)))),
% 0.75/0.73 inference(transitivity,[status(thm)],[300, 298])).
% 0.75/0.73 tff(302,plain,
% 0.75/0.73 ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | (~ndr1_0) | c1_1(a2000) | c0_1(a2000) | (~c2_1(a2000)))),
% 0.75/0.73 inference(quant_inst,[status(thm)],[])).
% 0.75/0.73 tff(303,plain,
% 0.75/0.73 ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp27 | hskp4 | c0_1(a2000) | c1_1(a2000) | (~ndr1_0) | (~c2_1(a2000))),
% 0.75/0.73 inference(modus_ponens,[status(thm)],[302, 301])).
% 0.75/0.73 tff(304,plain,
% 0.75/0.74 (hskp4 | c1_1(a2000) | (~c2_1(a2000))),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[303, 162, 43, 270, 297])).
% 0.75/0.74 tff(305,plain,
% 0.75/0.74 (hskp4),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[304, 277, 269])).
% 0.75/0.74 tff(306,plain,
% 0.75/0.74 (~c2_1(a1975)),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[108, 305])).
% 0.75/0.74 tff(307,plain,
% 0.75/0.74 (~c1_1(a1975)),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[114, 305])).
% 0.75/0.74 tff(308,plain,
% 0.75/0.74 (c0_1(a1975)),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[135, 305])).
% 0.75/0.74 tff(309,plain,
% 0.75/0.74 (hskp5),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[168, 54, 162, 308, 307, 306, 125])).
% 0.75/0.74 tff(310,plain,
% 0.75/0.74 (~c2_1(a1977)),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[174, 309])).
% 0.75/0.74 tff(311,plain,
% 0.75/0.74 (c1_1(a1977)),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[187, 309])).
% 0.75/0.74 tff(312,plain,
% 0.75/0.74 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c1_1(a2000) | c3_1(a2000) | c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1979)) | (~c2_1(a2000)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c1_1(a2000) | c3_1(a2000) | c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1979)) | (~c2_1(a2000)))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(313,plain,
% 0.75/0.74 (((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c3_1(a2000) | c1_1(a2000) | (~c2_1(a2000)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979))) <=> (c1_1(a2000) | c3_1(a2000) | c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1979)) | (~c2_1(a2000)))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(314,plain,
% 0.75/0.74 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c3_1(a2000) | c1_1(a2000) | (~c2_1(a2000)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c1_1(a2000) | c3_1(a2000) | c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1979)) | (~c2_1(a2000))))),
% 0.75/0.74 inference(monotonicity,[status(thm)],[313])).
% 0.75/0.74 tff(315,plain,
% 0.75/0.74 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c3_1(a2000) | c1_1(a2000) | (~c2_1(a2000)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c1_1(a2000) | c3_1(a2000) | c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1979)) | (~c2_1(a2000)))),
% 0.75/0.74 inference(transitivity,[status(thm)],[314, 312])).
% 0.75/0.74 tff(316,plain,
% 0.75/0.74 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c3_1(a2000) | c1_1(a2000) | (~c2_1(a2000)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))),
% 0.75/0.74 inference(quant_inst,[status(thm)],[])).
% 0.75/0.74 tff(317,plain,
% 0.75/0.74 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | c1_1(V) | (~c2_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c1_1(a2000) | c3_1(a2000) | c0_1(a1979) | c2_1(a1979) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1979)) | (~c2_1(a2000))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[316, 315])).
% 0.75/0.74 tff(318,plain,
% 0.75/0.74 (~c0_1(a1977)),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[317, 162, 92, 311, 269, 268, 81, 75, 310, 287, 277])).
% 0.75/0.74 tff(319,plain,
% 0.75/0.74 (~c3_1(a1977)),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[211, 309])).
% 0.75/0.74 tff(320,plain,
% 0.75/0.74 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp27 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | c0_1(a1977))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp27 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | c0_1(a1977))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(321,plain,
% 0.75/0.74 ((hskp27 | (~ndr1_0) | c0_1(a1977) | c2_1(a1977) | c3_1(a1977) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000)) <=> (hskp27 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | c0_1(a1977))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(322,plain,
% 0.75/0.74 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp27 | (~ndr1_0) | c0_1(a1977) | c2_1(a1977) | c3_1(a1977) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp27 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | c0_1(a1977)))),
% 0.75/0.74 inference(monotonicity,[status(thm)],[321])).
% 0.75/0.74 tff(323,plain,
% 0.75/0.74 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp27 | (~ndr1_0) | c0_1(a1977) | c2_1(a1977) | c3_1(a1977) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp27 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | c0_1(a1977))),
% 0.75/0.74 inference(transitivity,[status(thm)],[322, 320])).
% 0.75/0.74 tff(324,plain,
% 0.75/0.74 ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp27 | (~ndr1_0) | c0_1(a1977) | c2_1(a1977) | c3_1(a1977) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000))),
% 0.75/0.74 inference(quant_inst,[status(thm)],[])).
% 0.75/0.74 tff(325,plain,
% 0.75/0.74 ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | c0_1(U) | c2_1(U) | c3_1(U) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp27 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | c0_1(a1977)),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[324, 323])).
% 0.75/0.74 tff(326,plain,
% 0.75/0.74 ($false),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[325, 162, 43, 270, 269, 268, 310, 319, 267, 318])).
% 0.75/0.74 tff(327,plain,(c3_1(a2000) | hskp27 | c0_1(a2000) | c1_1(a2000) | hskp30), inference(lemma,lemma(discharge,[]))).
% 0.75/0.74 tff(328,plain,
% 0.75/0.74 ($false),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[327, 257, 251, 245, 43, 54])).
% 0.75/0.74 tff(329,plain,((~hskp18) | hskp27 | hskp30), inference(lemma,lemma(discharge,[]))).
% 0.75/0.74 tff(330,plain,
% 0.75/0.74 (~hskp18),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[329, 54, 43])).
% 0.75/0.74 tff(331,assumption,(~hskp1), introduced(assumption)).
% 0.75/0.74 tff(332,assumption,(~hskp18), introduced(assumption)).
% 0.75/0.74 tff(333,plain,
% 0.75/0.74 (^[U: $i] : refl((hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) <=> (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))))),
% 0.75/0.74 inference(bind,[status(th)],[])).
% 0.75/0.74 tff(334,plain,
% 0.75/0.74 (![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 0.75/0.74 inference(quant_intro,[status(thm)],[333])).
% 0.75/0.74 tff(335,plain,
% 0.75/0.74 (![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(336,plain,
% 0.75/0.74 (^[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)) | c0_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp4) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp4))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp4) <=> (hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp4) <=> (hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp4) | hskp18) <=> ((hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp18))), rewrite(((hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp18) <=> (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp4) | hskp18) <=> (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))))),
% 0.75/0.74 inference(bind,[status(th)],[])).
% 0.75/0.74 tff(337,plain,
% 0.75/0.74 (![U: $i] : ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp4) | hskp18) <=> ![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 0.75/0.74 inference(quant_intro,[status(thm)],[336])).
% 0.75/0.74 tff(338,axiom,(![U: $i] : ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp4) | hskp18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause143')).
% 0.75/0.74 tff(339,plain,
% 0.75/0.74 (![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[338, 337])).
% 0.75/0.74 tff(340,plain,
% 0.75/0.74 (![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[339, 335])).
% 0.75/0.74 tff(341,plain,(
% 0.75/0.74 ![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 0.75/0.74 inference(skolemize,[status(sab)],[340])).
% 0.75/0.74 tff(342,plain,
% 0.75/0.74 (![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[341, 334])).
% 0.75/0.74 tff(343,plain,
% 0.75/0.74 (((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp4 | c0_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | (~c1_1(a1979)))) <=> ((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp4 | c0_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | (~c1_1(a1979)))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(344,plain,
% 0.75/0.74 ((hskp18 | hskp4 | (~ndr1_0) | c0_1(a1979) | (~c3_1(a1979)) | (~c1_1(a1979))) <=> (hskp18 | hskp4 | c0_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | (~c1_1(a1979)))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(345,plain,
% 0.75/0.74 (((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp4 | (~ndr1_0) | c0_1(a1979) | (~c3_1(a1979)) | (~c1_1(a1979)))) <=> ((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp4 | c0_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | (~c1_1(a1979))))),
% 0.75/0.74 inference(monotonicity,[status(thm)],[344])).
% 0.75/0.74 tff(346,plain,
% 0.75/0.74 (((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp4 | (~ndr1_0) | c0_1(a1979) | (~c3_1(a1979)) | (~c1_1(a1979)))) <=> ((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp4 | c0_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | (~c1_1(a1979)))),
% 0.75/0.74 inference(transitivity,[status(thm)],[345, 343])).
% 0.75/0.74 tff(347,plain,
% 0.75/0.74 ((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp4 | (~ndr1_0) | c0_1(a1979) | (~c3_1(a1979)) | (~c1_1(a1979)))),
% 0.75/0.74 inference(quant_inst,[status(thm)],[])).
% 0.75/0.74 tff(348,plain,
% 0.75/0.74 ((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp4 | c0_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | (~c1_1(a1979))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[347, 346])).
% 0.75/0.74 tff(349,plain,
% 0.75/0.74 (hskp18 | hskp4 | (~c1_1(a1979))),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[348, 162, 92, 81, 342])).
% 0.75/0.74 tff(350,plain,
% 0.75/0.74 (~c1_1(a1979)),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[349, 21, 332])).
% 0.75/0.74 tff(351,plain,
% 0.75/0.74 (^[U: $i] : refl((hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))) <=> (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))))),
% 0.75/0.74 inference(bind,[status(th)],[])).
% 0.75/0.74 tff(352,plain,
% 0.75/0.74 (![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))),
% 0.75/0.74 inference(quant_intro,[status(thm)],[351])).
% 0.75/0.74 tff(353,plain,
% 0.75/0.74 (![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(354,plain,
% 0.75/0.74 (^[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)) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U))))), (((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))), (((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))))), ((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp1) <=> (((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))) | hskp1))), rewrite((((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))) | hskp1) <=> (hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))), ((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp1) <=> (hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))))), (((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp1) | hskp10) <=> ((hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))) | hskp10))), rewrite(((hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))) | hskp10) <=> (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))), (((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp1) | hskp10) <=> (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))))),
% 0.75/0.74 inference(bind,[status(th)],[])).
% 0.75/0.74 tff(355,plain,
% 0.75/0.74 (![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp1) | hskp10) <=> ![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))),
% 0.75/0.74 inference(quant_intro,[status(thm)],[354])).
% 0.75/0.74 tff(356,axiom,(![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp1) | hskp10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause136')).
% 0.75/0.74 tff(357,plain,
% 0.75/0.74 (![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[356, 355])).
% 0.75/0.74 tff(358,plain,
% 0.75/0.74 (![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[357, 353])).
% 0.75/0.74 tff(359,plain,(
% 0.75/0.74 ![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))),
% 0.75/0.74 inference(skolemize,[status(sab)],[358])).
% 0.75/0.74 tff(360,plain,
% 0.75/0.74 (![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[359, 352])).
% 0.75/0.74 tff(361,plain,
% 0.75/0.74 (((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | (hskp10 | hskp1 | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | c1_1(a1979))) <=> ((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | hskp10 | hskp1 | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | c1_1(a1979))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(362,plain,
% 0.75/0.74 ((hskp10 | hskp1 | (~ndr1_0) | c1_1(a1979) | c2_1(a1979) | (~c3_1(a1979))) <=> (hskp10 | hskp1 | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | c1_1(a1979))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(363,plain,
% 0.75/0.74 (((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | (hskp10 | hskp1 | (~ndr1_0) | c1_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | (hskp10 | hskp1 | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | c1_1(a1979)))),
% 0.75/0.74 inference(monotonicity,[status(thm)],[362])).
% 0.75/0.74 tff(364,plain,
% 0.75/0.74 (((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | (hskp10 | hskp1 | (~ndr1_0) | c1_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | hskp10 | hskp1 | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | c1_1(a1979))),
% 0.75/0.74 inference(transitivity,[status(thm)],[363, 361])).
% 0.75/0.74 tff(365,plain,
% 0.75/0.74 ((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | (hskp10 | hskp1 | (~ndr1_0) | c1_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))),
% 0.75/0.74 inference(quant_inst,[status(thm)],[])).
% 0.75/0.74 tff(366,plain,
% 0.75/0.74 ((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | hskp10 | hskp1 | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | c1_1(a1979)),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[365, 364])).
% 0.75/0.74 tff(367,plain,
% 0.75/0.74 (hskp10 | hskp1 | c1_1(a1979)),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[366, 162, 92, 75, 360])).
% 0.75/0.74 tff(368,plain,
% 0.75/0.74 (hskp10),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[367, 350, 331])).
% 0.75/0.74 tff(369,plain,
% 0.75/0.74 (((~hskp10) | (~c1_1(a1987))) <=> ((~hskp10) | (~c1_1(a1987)))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(370,plain,
% 0.75/0.74 (((~c1_1(a1987)) | (~hskp10)) <=> ((~hskp10) | (~c1_1(a1987)))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(371,axiom,((~c1_1(a1987)) | (~hskp10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause112')).
% 0.75/0.74 tff(372,plain,
% 0.75/0.74 ((~hskp10) | (~c1_1(a1987))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[371, 370])).
% 0.75/0.74 tff(373,plain,
% 0.75/0.74 ((~hskp10) | (~c1_1(a1987))),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[372, 369])).
% 0.75/0.74 tff(374,plain,
% 0.75/0.74 (~c1_1(a1987)),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[373, 368])).
% 0.75/0.74 tff(375,plain,
% 0.75/0.74 (((~hskp10) | c2_1(a1987)) <=> ((~hskp10) | c2_1(a1987))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(376,axiom,((~hskp10) | c2_1(a1987)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause69')).
% 0.75/0.74 tff(377,plain,
% 0.75/0.74 ((~hskp10) | c2_1(a1987)),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[376, 375])).
% 0.75/0.74 tff(378,plain,
% 0.75/0.74 ((~hskp10) | c2_1(a1987)),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[377, 375])).
% 0.75/0.74 tff(379,plain,
% 0.75/0.74 ((~hskp10) | c2_1(a1987)),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[378, 375])).
% 0.75/0.74 tff(380,plain,
% 0.75/0.74 ((~hskp10) | c2_1(a1987)),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[379, 375])).
% 0.75/0.74 tff(381,plain,
% 0.75/0.74 ((~hskp10) | c2_1(a1987)),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[380, 375])).
% 0.75/0.74 tff(382,plain,
% 0.75/0.74 ((~hskp10) | c2_1(a1987)),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[381, 375])).
% 0.75/0.74 tff(383,plain,
% 0.75/0.74 ((~hskp10) | c2_1(a1987)),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[382, 375])).
% 0.75/0.74 tff(384,plain,
% 0.75/0.74 ((~hskp10) | c2_1(a1987)),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[383, 375])).
% 0.75/0.74 tff(385,plain,
% 0.75/0.74 (c2_1(a1987)),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[384, 368])).
% 0.75/0.74 tff(386,plain,
% 0.75/0.74 (((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | c0_1(a1987))) <=> ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp27 | hskp4 | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | c0_1(a1987))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(387,plain,
% 0.75/0.74 ((hskp27 | hskp4 | (~ndr1_0) | c1_1(a1987) | c0_1(a1987) | (~c2_1(a1987))) <=> (hskp27 | hskp4 | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | c0_1(a1987))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(388,plain,
% 0.75/0.74 (((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | (~ndr1_0) | c1_1(a1987) | c0_1(a1987) | (~c2_1(a1987)))) <=> ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | c0_1(a1987)))),
% 0.75/0.74 inference(monotonicity,[status(thm)],[387])).
% 0.75/0.74 tff(389,plain,
% 0.75/0.74 (((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | (~ndr1_0) | c1_1(a1987) | c0_1(a1987) | (~c2_1(a1987)))) <=> ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp27 | hskp4 | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | c0_1(a1987))),
% 0.75/0.74 inference(transitivity,[status(thm)],[388, 386])).
% 0.75/0.74 tff(390,plain,
% 0.75/0.74 ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | (~ndr1_0) | c1_1(a1987) | c0_1(a1987) | (~c2_1(a1987)))),
% 0.75/0.74 inference(quant_inst,[status(thm)],[])).
% 0.75/0.74 tff(391,plain,
% 0.75/0.74 ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp27 | hskp4 | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | c0_1(a1987)),
% 0.75/0.74 inference(modus_ponens,[status(thm)],[390, 389])).
% 0.75/0.74 tff(392,plain,
% 0.75/0.74 (c0_1(a1987)),
% 0.75/0.74 inference(unit_resolution,[status(thm)],[391, 162, 43, 21, 385, 374, 297])).
% 0.75/0.74 tff(393,plain,
% 0.75/0.74 (^[U: $i] : refl((hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) <=> (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))))),
% 0.75/0.74 inference(bind,[status(th)],[])).
% 0.75/0.74 tff(394,plain,
% 0.75/0.74 (![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 0.75/0.74 inference(quant_intro,[status(thm)],[393])).
% 0.75/0.74 tff(395,plain,
% 0.75/0.74 (![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 0.75/0.74 inference(rewrite,[status(thm)],[])).
% 0.75/0.74 tff(396,plain,
% 0.75/0.74 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp30) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp30))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp30) <=> (hskp30 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp30) <=> (hskp30 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp30) | hskp15) <=> ((hskp30 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp15))), rewrite(((hskp30 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp15) <=> (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp30) | hskp15) <=> (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))))),
% 0.75/0.74 inference(bind,[status(th)],[])).
% 0.75/0.74 tff(397,plain,
% 0.75/0.74 (![U: $i] : ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp30) | hskp15) <=> ![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 0.75/0.74 inference(quant_intro,[status(thm)],[396])).
% 0.75/0.74 tff(398,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp30) | hskp15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause146')).
% 0.75/0.75 tff(399,plain,
% 0.75/0.75 (![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[398, 397])).
% 0.75/0.75 tff(400,plain,
% 0.75/0.75 (![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[399, 395])).
% 0.75/0.75 tff(401,plain,(
% 0.75/0.75 ![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 0.75/0.75 inference(skolemize,[status(sab)],[400])).
% 0.75/0.75 tff(402,plain,
% 0.75/0.75 (![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[401, 394])).
% 0.75/0.75 tff(403,plain,
% 0.75/0.75 (((~hskp10) | c3_1(a1987)) <=> ((~hskp10) | c3_1(a1987))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(404,axiom,((~hskp10) | c3_1(a1987)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause70')).
% 0.75/0.75 tff(405,plain,
% 0.75/0.75 ((~hskp10) | c3_1(a1987)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[404, 403])).
% 0.75/0.75 tff(406,plain,
% 0.75/0.75 ((~hskp10) | c3_1(a1987)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[405, 403])).
% 0.75/0.75 tff(407,plain,
% 0.75/0.75 ((~hskp10) | c3_1(a1987)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[406, 403])).
% 0.75/0.75 tff(408,plain,
% 0.75/0.75 ((~hskp10) | c3_1(a1987)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[407, 403])).
% 0.75/0.75 tff(409,plain,
% 0.75/0.75 ((~hskp10) | c3_1(a1987)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[408, 403])).
% 0.75/0.75 tff(410,plain,
% 0.75/0.75 ((~hskp10) | c3_1(a1987)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[409, 403])).
% 0.75/0.75 tff(411,plain,
% 0.75/0.75 ((~hskp10) | c3_1(a1987)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[410, 403])).
% 0.75/0.75 tff(412,plain,
% 0.75/0.75 ((~hskp10) | c3_1(a1987)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[411, 403])).
% 0.75/0.75 tff(413,plain,
% 0.75/0.75 (c3_1(a1987)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[412, 368])).
% 0.75/0.75 tff(414,plain,
% 0.75/0.75 (((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp30 | hskp15 | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | (~c0_1(a1987)))) <=> ((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp30 | hskp15 | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | (~c0_1(a1987)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(415,plain,
% 0.75/0.75 ((hskp30 | hskp15 | (~ndr1_0) | c1_1(a1987) | (~c3_1(a1987)) | (~c0_1(a1987))) <=> (hskp30 | hskp15 | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | (~c0_1(a1987)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(416,plain,
% 0.75/0.75 (((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp30 | hskp15 | (~ndr1_0) | c1_1(a1987) | (~c3_1(a1987)) | (~c0_1(a1987)))) <=> ((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp30 | hskp15 | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | (~c0_1(a1987))))),
% 0.75/0.75 inference(monotonicity,[status(thm)],[415])).
% 0.75/0.75 tff(417,plain,
% 0.75/0.75 (((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp30 | hskp15 | (~ndr1_0) | c1_1(a1987) | (~c3_1(a1987)) | (~c0_1(a1987)))) <=> ((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp30 | hskp15 | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | (~c0_1(a1987)))),
% 0.75/0.75 inference(transitivity,[status(thm)],[416, 414])).
% 0.75/0.75 tff(418,plain,
% 0.75/0.75 ((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp30 | hskp15 | (~ndr1_0) | c1_1(a1987) | (~c3_1(a1987)) | (~c0_1(a1987)))),
% 0.75/0.75 inference(quant_inst,[status(thm)],[])).
% 0.75/0.75 tff(419,plain,
% 0.75/0.75 ((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp30 | hskp15 | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | (~c0_1(a1987))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[418, 417])).
% 0.75/0.75 tff(420,plain,
% 0.75/0.75 (hskp15),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[419, 54, 162, 413, 374, 402, 392])).
% 0.75/0.75 tff(421,plain,
% 0.75/0.75 (((~hskp15) | (~c1_1(a1993))) <=> ((~hskp15) | (~c1_1(a1993)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(422,plain,
% 0.75/0.75 (((~c1_1(a1993)) | (~hskp15)) <=> ((~hskp15) | (~c1_1(a1993)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(423,axiom,((~c1_1(a1993)) | (~hskp15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause104')).
% 0.75/0.75 tff(424,plain,
% 0.75/0.75 ((~hskp15) | (~c1_1(a1993))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[423, 422])).
% 0.75/0.75 tff(425,plain,
% 0.75/0.75 ((~hskp15) | (~c1_1(a1993))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[424, 421])).
% 0.75/0.75 tff(426,plain,
% 0.75/0.75 (~c1_1(a1993)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[425, 420])).
% 0.75/0.75 tff(427,plain,
% 0.75/0.75 (((~hskp15) | (~c0_1(a1993))) <=> ((~hskp15) | (~c0_1(a1993)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(428,plain,
% 0.75/0.75 (((~c0_1(a1993)) | (~hskp15)) <=> ((~hskp15) | (~c0_1(a1993)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(429,axiom,((~c0_1(a1993)) | (~hskp15)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause103')).
% 0.75/0.75 tff(430,plain,
% 0.75/0.75 ((~hskp15) | (~c0_1(a1993))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[429, 428])).
% 0.75/0.75 tff(431,plain,
% 0.75/0.75 ((~hskp15) | (~c0_1(a1993))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[430, 427])).
% 0.75/0.75 tff(432,plain,
% 0.75/0.75 (~c0_1(a1993)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[431, 420])).
% 0.75/0.75 tff(433,plain,
% 0.75/0.75 (((~hskp15) | c2_1(a1993)) <=> ((~hskp15) | c2_1(a1993))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(434,axiom,((~hskp15) | c2_1(a1993)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause63')).
% 0.75/0.75 tff(435,plain,
% 0.75/0.75 ((~hskp15) | c2_1(a1993)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[434, 433])).
% 0.75/0.75 tff(436,plain,
% 0.75/0.75 ((~hskp15) | c2_1(a1993)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[435, 433])).
% 0.75/0.75 tff(437,plain,
% 0.75/0.75 ((~hskp15) | c2_1(a1993)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[436, 433])).
% 0.75/0.75 tff(438,plain,
% 0.75/0.75 ((~hskp15) | c2_1(a1993)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[437, 433])).
% 0.75/0.75 tff(439,plain,
% 0.75/0.75 ((~hskp15) | c2_1(a1993)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[438, 433])).
% 0.75/0.75 tff(440,plain,
% 0.75/0.75 ((~hskp15) | c2_1(a1993)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[439, 433])).
% 0.75/0.75 tff(441,plain,
% 0.75/0.75 ((~hskp15) | c2_1(a1993)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[440, 433])).
% 0.75/0.75 tff(442,plain,
% 0.75/0.75 ((~hskp15) | c2_1(a1993)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[441, 433])).
% 0.75/0.75 tff(443,plain,
% 0.75/0.75 (c2_1(a1993)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[442, 420])).
% 0.75/0.75 tff(444,plain,
% 0.75/0.75 (((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | c0_1(a1993) | c1_1(a1993) | (~ndr1_0) | (~c2_1(a1993)))) <=> ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp27 | hskp4 | c0_1(a1993) | c1_1(a1993) | (~ndr1_0) | (~c2_1(a1993)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(445,plain,
% 0.75/0.75 ((hskp27 | hskp4 | (~ndr1_0) | c1_1(a1993) | c0_1(a1993) | (~c2_1(a1993))) <=> (hskp27 | hskp4 | c0_1(a1993) | c1_1(a1993) | (~ndr1_0) | (~c2_1(a1993)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(446,plain,
% 0.75/0.75 (((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | (~ndr1_0) | c1_1(a1993) | c0_1(a1993) | (~c2_1(a1993)))) <=> ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | c0_1(a1993) | c1_1(a1993) | (~ndr1_0) | (~c2_1(a1993))))),
% 0.75/0.75 inference(monotonicity,[status(thm)],[445])).
% 0.75/0.75 tff(447,plain,
% 0.75/0.75 (((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | (~ndr1_0) | c1_1(a1993) | c0_1(a1993) | (~c2_1(a1993)))) <=> ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp27 | hskp4 | c0_1(a1993) | c1_1(a1993) | (~ndr1_0) | (~c2_1(a1993)))),
% 0.75/0.75 inference(transitivity,[status(thm)],[446, 444])).
% 0.75/0.75 tff(448,plain,
% 0.75/0.75 ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | (~ndr1_0) | c1_1(a1993) | c0_1(a1993) | (~c2_1(a1993)))),
% 0.75/0.75 inference(quant_inst,[status(thm)],[])).
% 0.75/0.75 tff(449,plain,
% 0.75/0.75 ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp27 | hskp4 | c0_1(a1993) | c1_1(a1993) | (~ndr1_0) | (~c2_1(a1993))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[448, 447])).
% 0.75/0.75 tff(450,plain,
% 0.75/0.75 ($false),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[449, 162, 43, 21, 443, 432, 426, 297])).
% 0.75/0.75 tff(451,plain,(hskp4 | hskp27 | hskp30 | hskp1 | hskp18), inference(lemma,lemma(discharge,[]))).
% 0.75/0.75 tff(452,plain,
% 0.75/0.75 (hskp1),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[451, 330, 54, 238, 43])).
% 0.75/0.75 tff(453,plain,
% 0.75/0.75 (((~hskp1) | (~c1_1(a1971))) <=> ((~hskp1) | (~c1_1(a1971)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(454,plain,
% 0.75/0.75 (((~c1_1(a1971)) | (~hskp1)) <=> ((~hskp1) | (~c1_1(a1971)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(455,axiom,((~c1_1(a1971)) | (~hskp1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause126')).
% 0.75/0.75 tff(456,plain,
% 0.75/0.75 ((~hskp1) | (~c1_1(a1971))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[455, 454])).
% 0.75/0.75 tff(457,plain,
% 0.75/0.75 ((~hskp1) | (~c1_1(a1971))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[456, 453])).
% 0.75/0.75 tff(458,plain,
% 0.75/0.75 (~c1_1(a1971)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[457, 452])).
% 0.75/0.75 tff(459,plain,
% 0.75/0.75 (((~hskp1) | c2_1(a1971)) <=> ((~hskp1) | c2_1(a1971))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(460,axiom,((~hskp1) | c2_1(a1971)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause83')).
% 0.75/0.75 tff(461,plain,
% 0.75/0.75 ((~hskp1) | c2_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[460, 459])).
% 0.75/0.75 tff(462,plain,
% 0.75/0.75 ((~hskp1) | c2_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[461, 459])).
% 0.75/0.75 tff(463,plain,
% 0.75/0.75 ((~hskp1) | c2_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[462, 459])).
% 0.75/0.75 tff(464,plain,
% 0.75/0.75 ((~hskp1) | c2_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[463, 459])).
% 0.75/0.75 tff(465,plain,
% 0.75/0.75 ((~hskp1) | c2_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[464, 459])).
% 0.75/0.75 tff(466,plain,
% 0.75/0.75 ((~hskp1) | c2_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[465, 459])).
% 0.75/0.75 tff(467,plain,
% 0.75/0.75 ((~hskp1) | c2_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[466, 459])).
% 0.75/0.75 tff(468,plain,
% 0.75/0.75 ((~hskp1) | c2_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[467, 459])).
% 0.75/0.75 tff(469,plain,
% 0.75/0.75 (c2_1(a1971)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[468, 452])).
% 0.75/0.75 tff(470,plain,
% 0.75/0.75 (((~hskp1) | c0_1(a1971)) <=> ((~hskp1) | c0_1(a1971))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(471,axiom,((~hskp1) | c0_1(a1971)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause82')).
% 0.75/0.75 tff(472,plain,
% 0.75/0.75 ((~hskp1) | c0_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[471, 470])).
% 0.75/0.75 tff(473,plain,
% 0.75/0.75 ((~hskp1) | c0_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[472, 470])).
% 0.75/0.75 tff(474,plain,
% 0.75/0.75 ((~hskp1) | c0_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[473, 470])).
% 0.75/0.75 tff(475,plain,
% 0.75/0.75 ((~hskp1) | c0_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[474, 470])).
% 0.75/0.75 tff(476,plain,
% 0.75/0.75 ((~hskp1) | c0_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[475, 470])).
% 0.75/0.75 tff(477,plain,
% 0.75/0.75 ((~hskp1) | c0_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[476, 470])).
% 0.75/0.75 tff(478,plain,
% 0.75/0.75 ((~hskp1) | c0_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[477, 470])).
% 0.75/0.75 tff(479,plain,
% 0.75/0.75 ((~hskp1) | c0_1(a1971)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[478, 470])).
% 0.75/0.75 tff(480,plain,
% 0.75/0.75 (c0_1(a1971)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[479, 452])).
% 0.75/0.75 tff(481,plain,
% 0.75/0.75 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp8 | c0_1(a1979) | c2_1(a1979) | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c0_1(a1971)) | (~c3_1(a1979)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp8 | c0_1(a1979) | c2_1(a1979) | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c0_1(a1971)) | (~c3_1(a1979)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(482,plain,
% 0.75/0.75 ((hskp8 | (~ndr1_0) | c1_1(a1971) | (~c2_1(a1971)) | (~c0_1(a1971)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979))) <=> (hskp8 | c0_1(a1979) | c2_1(a1979) | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c0_1(a1971)) | (~c3_1(a1979)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(483,plain,
% 0.75/0.75 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c1_1(a1971) | (~c2_1(a1971)) | (~c0_1(a1971)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp8 | c0_1(a1979) | c2_1(a1979) | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c0_1(a1971)) | (~c3_1(a1979))))),
% 0.75/0.75 inference(monotonicity,[status(thm)],[482])).
% 0.75/0.75 tff(484,plain,
% 0.75/0.75 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c1_1(a1971) | (~c2_1(a1971)) | (~c0_1(a1971)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp8 | c0_1(a1979) | c2_1(a1979) | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c0_1(a1971)) | (~c3_1(a1979)))),
% 0.75/0.75 inference(transitivity,[status(thm)],[483, 481])).
% 0.75/0.75 tff(485,plain,
% 0.75/0.75 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c1_1(a1971) | (~c2_1(a1971)) | (~c0_1(a1971)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))),
% 0.75/0.75 inference(quant_inst,[status(thm)],[])).
% 0.75/0.75 tff(486,plain,
% 0.75/0.75 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp8 | c0_1(a1979) | c2_1(a1979) | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c0_1(a1971)) | (~c3_1(a1979))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[485, 484])).
% 0.75/0.75 tff(487,plain,
% 0.75/0.75 (hskp8),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[486, 162, 92, 480, 469, 81, 75, 458, 53])).
% 0.75/0.75 tff(488,plain,
% 0.75/0.75 (((~hskp8) | (~c0_1(a1983))) <=> ((~hskp8) | (~c0_1(a1983)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(489,plain,
% 0.75/0.75 (((~c0_1(a1983)) | (~hskp8)) <=> ((~hskp8) | (~c0_1(a1983)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(490,axiom,((~c0_1(a1983)) | (~hskp8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause115')).
% 0.75/0.75 tff(491,plain,
% 0.75/0.75 ((~hskp8) | (~c0_1(a1983))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[490, 489])).
% 0.75/0.75 tff(492,plain,
% 0.75/0.75 ((~hskp8) | (~c0_1(a1983))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[491, 488])).
% 0.75/0.75 tff(493,plain,
% 0.75/0.75 (~c0_1(a1983)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[492, 487])).
% 0.75/0.75 tff(494,plain,
% 0.75/0.75 (((~hskp8) | c3_1(a1983)) <=> ((~hskp8) | c3_1(a1983))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(495,axiom,((~hskp8) | c3_1(a1983)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause72')).
% 0.75/0.75 tff(496,plain,
% 0.75/0.75 ((~hskp8) | c3_1(a1983)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[495, 494])).
% 0.75/0.75 tff(497,plain,
% 0.75/0.75 ((~hskp8) | c3_1(a1983)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[496, 494])).
% 0.75/0.75 tff(498,plain,
% 0.75/0.75 ((~hskp8) | c3_1(a1983)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[497, 494])).
% 0.75/0.75 tff(499,plain,
% 0.75/0.75 ((~hskp8) | c3_1(a1983)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[498, 494])).
% 0.75/0.75 tff(500,plain,
% 0.75/0.75 ((~hskp8) | c3_1(a1983)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[499, 494])).
% 0.75/0.75 tff(501,plain,
% 0.75/0.75 ((~hskp8) | c3_1(a1983)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[500, 494])).
% 0.75/0.75 tff(502,plain,
% 0.75/0.75 ((~hskp8) | c3_1(a1983)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[501, 494])).
% 0.75/0.75 tff(503,plain,
% 0.75/0.75 ((~hskp8) | c3_1(a1983)),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[502, 494])).
% 0.75/0.75 tff(504,plain,
% 0.75/0.75 (c3_1(a1983)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[503, 487])).
% 0.75/0.75 tff(505,plain,
% 0.75/0.75 (((~hskp8) | (~c1_1(a1983))) <=> ((~hskp8) | (~c1_1(a1983)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(506,plain,
% 0.75/0.75 (((~c1_1(a1983)) | (~hskp8)) <=> ((~hskp8) | (~c1_1(a1983)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(507,axiom,((~c1_1(a1983)) | (~hskp8)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause116')).
% 0.75/0.75 tff(508,plain,
% 0.75/0.75 ((~hskp8) | (~c1_1(a1983))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[507, 506])).
% 0.75/0.75 tff(509,plain,
% 0.75/0.75 ((~hskp8) | (~c1_1(a1983))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[508, 505])).
% 0.75/0.75 tff(510,plain,
% 0.75/0.75 (~c1_1(a1983)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[509, 487])).
% 0.75/0.75 tff(511,plain,
% 0.75/0.75 (((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1983)))) <=> ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp27 | hskp4 | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1983)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(512,plain,
% 0.75/0.75 ((hskp27 | hskp4 | (~ndr1_0) | c1_1(a1983) | c0_1(a1983) | (~c2_1(a1983))) <=> (hskp27 | hskp4 | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1983)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(513,plain,
% 0.75/0.75 (((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | (~ndr1_0) | c1_1(a1983) | c0_1(a1983) | (~c2_1(a1983)))) <=> ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1983))))),
% 0.75/0.75 inference(monotonicity,[status(thm)],[512])).
% 0.75/0.75 tff(514,plain,
% 0.75/0.75 (((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | (~ndr1_0) | c1_1(a1983) | c0_1(a1983) | (~c2_1(a1983)))) <=> ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp27 | hskp4 | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1983)))),
% 0.75/0.75 inference(transitivity,[status(thm)],[513, 511])).
% 0.75/0.75 tff(515,plain,
% 0.75/0.75 ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | (hskp27 | hskp4 | (~ndr1_0) | c1_1(a1983) | c0_1(a1983) | (~c2_1(a1983)))),
% 0.75/0.75 inference(quant_inst,[status(thm)],[])).
% 0.75/0.75 tff(516,plain,
% 0.75/0.75 ((~![U: $i] : (hskp27 | hskp4 | (~ndr1_0) | c1_1(U) | c0_1(U) | (~c2_1(U)))) | hskp27 | hskp4 | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1983))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[515, 514])).
% 0.75/0.75 tff(517,plain,
% 0.75/0.75 (~c2_1(a1983)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[516, 162, 43, 238, 493, 510, 297])).
% 0.75/0.75 tff(518,assumption,(hskp15), introduced(assumption)).
% 0.75/0.75 tff(519,plain,
% 0.75/0.75 (~c1_1(a1993)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[425, 518])).
% 0.75/0.75 tff(520,plain,
% 0.75/0.75 (~c0_1(a1993)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[431, 518])).
% 0.75/0.75 tff(521,plain,
% 0.75/0.75 (c2_1(a1993)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[442, 518])).
% 0.75/0.75 tff(522,plain,
% 0.75/0.75 ($false),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[449, 162, 43, 21, 521, 520, 519, 297])).
% 0.75/0.75 tff(523,plain,((~hskp15) | hskp27 | hskp4), inference(lemma,lemma(discharge,[]))).
% 0.75/0.75 tff(524,plain,
% 0.75/0.75 (~hskp15),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[523, 238, 43])).
% 0.75/0.75 tff(525,plain,
% 0.75/0.75 (((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp30 | hskp15 | c1_1(a1971) | (~ndr1_0) | (~c3_1(a1971)) | (~c0_1(a1971)))) <=> ((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp30 | hskp15 | c1_1(a1971) | (~ndr1_0) | (~c3_1(a1971)) | (~c0_1(a1971)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(526,plain,
% 0.75/0.75 ((hskp30 | hskp15 | (~ndr1_0) | c1_1(a1971) | (~c3_1(a1971)) | (~c0_1(a1971))) <=> (hskp30 | hskp15 | c1_1(a1971) | (~ndr1_0) | (~c3_1(a1971)) | (~c0_1(a1971)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(527,plain,
% 0.75/0.75 (((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp30 | hskp15 | (~ndr1_0) | c1_1(a1971) | (~c3_1(a1971)) | (~c0_1(a1971)))) <=> ((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp30 | hskp15 | c1_1(a1971) | (~ndr1_0) | (~c3_1(a1971)) | (~c0_1(a1971))))),
% 0.75/0.75 inference(monotonicity,[status(thm)],[526])).
% 0.75/0.75 tff(528,plain,
% 0.75/0.75 (((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp30 | hskp15 | (~ndr1_0) | c1_1(a1971) | (~c3_1(a1971)) | (~c0_1(a1971)))) <=> ((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp30 | hskp15 | c1_1(a1971) | (~ndr1_0) | (~c3_1(a1971)) | (~c0_1(a1971)))),
% 0.75/0.75 inference(transitivity,[status(thm)],[527, 525])).
% 0.75/0.75 tff(529,plain,
% 0.75/0.75 ((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp30 | hskp15 | (~ndr1_0) | c1_1(a1971) | (~c3_1(a1971)) | (~c0_1(a1971)))),
% 0.75/0.75 inference(quant_inst,[status(thm)],[])).
% 0.75/0.75 tff(530,plain,
% 0.75/0.75 ((~![U: $i] : (hskp30 | hskp15 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp30 | hskp15 | c1_1(a1971) | (~ndr1_0) | (~c3_1(a1971)) | (~c0_1(a1971))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[529, 528])).
% 0.75/0.75 tff(531,plain,
% 0.75/0.75 (hskp15 | (~c3_1(a1971))),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[530, 54, 162, 480, 458, 402])).
% 0.75/0.75 tff(532,plain,
% 0.75/0.75 (~c3_1(a1971)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[531, 524])).
% 0.75/0.75 tff(533,plain,
% 0.75/0.75 (~c1_1(a1979)),
% 0.75/0.75 inference(unit_resolution,[status(thm)],[349, 330, 238])).
% 0.75/0.75 tff(534,plain,
% 0.75/0.75 (^[V: $i, U: $i] : refl((hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))))),
% 0.75/0.75 inference(bind,[status(th)],[])).
% 0.75/0.75 tff(535,plain,
% 0.75/0.75 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 0.75/0.75 inference(quant_intro,[status(thm)],[534])).
% 0.75/0.75 tff(536,plain,
% 0.75/0.75 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 0.75/0.75 inference(rewrite,[status(thm)],[])).
% 0.75/0.75 tff(537,plain,
% 0.75/0.75 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | (~c3_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | (~c3_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | (~c3_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c0_1(V) | (~c3_1(V))) | c1_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))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) | c1_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp5) <=> (((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) | hskp5))), rewrite((((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V))) | hskp5) <=> (hskp5 | (~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))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp5) <=> (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))))),
% 0.75/0.75 inference(bind,[status(th)],[])).
% 0.75/0.75 tff(538,plain,
% 0.75/0.75 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp5) <=> ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 0.75/0.75 inference(quant_intro,[status(thm)],[537])).
% 0.75/0.75 tff(539,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c3_1(U)) | c0_1(V)) | c1_1(V)) | hskp5)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause171')).
% 0.75/0.75 tff(540,plain,
% 0.75/0.75 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[539, 538])).
% 0.75/0.75 tff(541,plain,
% 0.75/0.75 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 0.75/0.75 inference(modus_ponens,[status(thm)],[540, 536])).
% 0.75/0.75 tff(542,plain,(
% 0.75/0.75 ![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 0.75/0.75 inference(skolemize,[status(sab)],[541])).
% 0.75/0.75 tff(543,plain,
% 0.75/0.75 (![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[542, 535])).
% 0.75/0.76 tff(544,plain,
% 0.75/0.76 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c0_1(a1979) | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | (~c3_1(a1979)) | c1_1(a1979))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c0_1(a1979) | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | (~c3_1(a1979)) | c1_1(a1979))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(545,plain,
% 0.75/0.76 ((hskp5 | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | c1_1(a1979) | c0_1(a1979) | (~c3_1(a1979))) <=> (hskp5 | c0_1(a1979) | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | (~c3_1(a1979)) | c1_1(a1979))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(546,plain,
% 0.75/0.76 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | c1_1(a1979) | c0_1(a1979) | (~c3_1(a1979)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c0_1(a1979) | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | (~c3_1(a1979)) | c1_1(a1979)))),
% 0.75/0.76 inference(monotonicity,[status(thm)],[545])).
% 0.75/0.76 tff(547,plain,
% 0.75/0.76 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | c1_1(a1979) | c0_1(a1979) | (~c3_1(a1979)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c0_1(a1979) | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | (~c3_1(a1979)) | c1_1(a1979))),
% 0.75/0.76 inference(transitivity,[status(thm)],[546, 544])).
% 0.75/0.76 tff(548,plain,
% 0.75/0.76 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | c1_1(a1979) | c0_1(a1979) | (~c3_1(a1979)))),
% 0.75/0.76 inference(quant_inst,[status(thm)],[])).
% 0.75/0.76 tff(549,plain,
% 0.75/0.76 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c0_1(a1979) | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | (~c3_1(a1979)) | c1_1(a1979)),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[548, 547])).
% 0.75/0.76 tff(550,plain,
% 0.75/0.76 (hskp5 | c3_1(a1971)),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[549, 162, 92, 480, 469, 81, 543, 533])).
% 0.75/0.76 tff(551,plain,
% 0.75/0.76 (hskp5),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[550, 532])).
% 0.75/0.76 tff(552,plain,
% 0.75/0.76 (~c2_1(a1977)),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[174, 551])).
% 0.75/0.76 tff(553,plain,
% 0.75/0.76 (~c3_1(a1977)),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[211, 551])).
% 0.75/0.76 tff(554,assumption,(~c3_1(a1977)), introduced(assumption)).
% 0.75/0.76 tff(555,assumption,(~c2_1(a1983)), introduced(assumption)).
% 0.75/0.76 tff(556,assumption,(~c2_1(a1977)), introduced(assumption)).
% 0.75/0.76 tff(557,assumption,(~c1_1(a1983)), introduced(assumption)).
% 0.75/0.76 tff(558,assumption,(~c0_1(a1983)), introduced(assumption)).
% 0.75/0.76 tff(559,assumption,(c3_1(a1983)), introduced(assumption)).
% 0.75/0.76 tff(560,plain,
% 0.75/0.76 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c0_1(a1983) | c1_1(a1983) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | c2_1(a1983) | (~c3_1(a1983)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c0_1(a1983) | c1_1(a1983) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | c2_1(a1983) | (~c3_1(a1983)))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(561,plain,
% 0.75/0.76 (((~ndr1_0) | c2_1(a1977) | c3_1(a1977) | (~c1_1(a1977)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c0_1(a1983) | c2_1(a1983) | (~c3_1(a1983))) <=> (c0_1(a1983) | c1_1(a1983) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | c2_1(a1983) | (~c3_1(a1983)))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(562,plain,
% 0.75/0.76 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1977) | c3_1(a1977) | (~c1_1(a1977)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c0_1(a1983) | c2_1(a1983) | (~c3_1(a1983)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c0_1(a1983) | c1_1(a1983) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | c2_1(a1983) | (~c3_1(a1983))))),
% 0.75/0.76 inference(monotonicity,[status(thm)],[561])).
% 0.75/0.76 tff(563,plain,
% 0.75/0.76 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1977) | c3_1(a1977) | (~c1_1(a1977)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c0_1(a1983) | c2_1(a1983) | (~c3_1(a1983)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c0_1(a1983) | c1_1(a1983) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | c2_1(a1983) | (~c3_1(a1983)))),
% 0.75/0.76 inference(transitivity,[status(thm)],[562, 560])).
% 0.75/0.76 tff(564,plain,
% 0.75/0.76 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1977) | c3_1(a1977) | (~c1_1(a1977)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c0_1(a1983) | c2_1(a1983) | (~c3_1(a1983)))),
% 0.75/0.76 inference(quant_inst,[status(thm)],[])).
% 0.75/0.76 tff(565,plain,
% 0.75/0.76 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c0_1(a1983) | c1_1(a1983) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | c2_1(a1983) | (~c3_1(a1983))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[564, 563])).
% 0.75/0.76 tff(566,plain,
% 0.75/0.76 (c3_1(a1977) | (~c1_1(a1977))),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[565, 162, 559, 558, 557, 556, 229, 555])).
% 0.75/0.76 tff(567,plain,
% 0.75/0.76 (~c1_1(a1977)),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[566, 554])).
% 0.75/0.76 tff(568,plain,
% 0.75/0.76 (~hskp5),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[187, 567])).
% 0.75/0.76 tff(569,plain,
% 0.75/0.76 (((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | (hskp30 | hskp5 | c1_1(a1977) | c2_1(a1977) | (~ndr1_0) | (~c0_1(a1977)))) <=> ((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | hskp30 | hskp5 | c1_1(a1977) | c2_1(a1977) | (~ndr1_0) | (~c0_1(a1977)))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(570,plain,
% 0.75/0.76 ((hskp30 | hskp5 | (~ndr1_0) | c1_1(a1977) | c2_1(a1977) | (~c0_1(a1977))) <=> (hskp30 | hskp5 | c1_1(a1977) | c2_1(a1977) | (~ndr1_0) | (~c0_1(a1977)))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(571,plain,
% 0.75/0.76 (((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | (hskp30 | hskp5 | (~ndr1_0) | c1_1(a1977) | c2_1(a1977) | (~c0_1(a1977)))) <=> ((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | (hskp30 | hskp5 | c1_1(a1977) | c2_1(a1977) | (~ndr1_0) | (~c0_1(a1977))))),
% 0.75/0.76 inference(monotonicity,[status(thm)],[570])).
% 0.75/0.76 tff(572,plain,
% 0.75/0.76 (((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | (hskp30 | hskp5 | (~ndr1_0) | c1_1(a1977) | c2_1(a1977) | (~c0_1(a1977)))) <=> ((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | hskp30 | hskp5 | c1_1(a1977) | c2_1(a1977) | (~ndr1_0) | (~c0_1(a1977)))),
% 0.75/0.76 inference(transitivity,[status(thm)],[571, 569])).
% 0.75/0.76 tff(573,plain,
% 0.75/0.76 ((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | (hskp30 | hskp5 | (~ndr1_0) | c1_1(a1977) | c2_1(a1977) | (~c0_1(a1977)))),
% 0.75/0.76 inference(quant_inst,[status(thm)],[])).
% 0.75/0.76 tff(574,plain,
% 0.75/0.76 ((~![U: $i] : (hskp30 | hskp5 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c0_1(U)))) | hskp30 | hskp5 | c1_1(a1977) | c2_1(a1977) | (~ndr1_0) | (~c0_1(a1977))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[573, 572])).
% 0.75/0.76 tff(575,plain,
% 0.75/0.76 (hskp5 | c1_1(a1977) | (~c0_1(a1977))),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[574, 54, 162, 556, 125])).
% 0.75/0.76 tff(576,plain,
% 0.75/0.76 (~c0_1(a1977)),
% 0.75/0.76 inference(unit_resolution,[status(thm)],[575, 568, 567])).
% 0.75/0.76 tff(577,plain,
% 0.75/0.76 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)))),
% 0.75/0.76 inference(bind,[status(th)],[])).
% 0.75/0.76 tff(578,plain,
% 0.75/0.76 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 0.75/0.76 inference(quant_intro,[status(thm)],[577])).
% 0.75/0.76 tff(579,plain,
% 0.75/0.76 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(580,plain,
% 0.75/0.76 (^[W: $i, V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)))), (((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V)))), ((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V)))), (((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V))))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V))) | c2_1(V)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | (~c3_1(V))) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)))), ((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) | c0_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V))) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W))), (((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W)))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W)) | c1_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W))), ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W)))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W)) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W)) | c3_1(W)))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c1_1(W) | c0_1(W)) | c3_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))), (((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))))),
% 0.75/0.76 inference(bind,[status(th)],[])).
% 0.75/0.76 tff(581,plain,
% 0.75/0.76 (![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 0.75/0.76 inference(quant_intro,[status(thm)],[580])).
% 0.75/0.76 tff(582,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c0_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c3_1(V))) | c1_1(U)) | c1_1(V)) | c2_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause189')).
% 0.75/0.76 tff(583,plain,
% 0.75/0.76 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[582, 581])).
% 0.75/0.76 tff(584,plain,
% 0.75/0.76 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[583, 579])).
% 0.75/0.76 tff(585,plain,(
% 0.75/0.76 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 0.75/0.76 inference(skolemize,[status(sab)],[584])).
% 0.75/0.76 tff(586,plain,
% 0.75/0.76 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 0.75/0.76 inference(modus_ponens,[status(thm)],[585, 578])).
% 0.75/0.76 tff(587,assumption,(~c1_1(a1971)), introduced(assumption)).
% 0.75/0.76 tff(588,assumption,(c2_1(a1971)), introduced(assumption)).
% 0.75/0.76 tff(589,assumption,(c0_1(a1971)), introduced(assumption)).
% 0.75/0.76 tff(590,plain,
% 0.75/0.76 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a1977) | c1_1(a1983) | c3_1(a1977) | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c0_1(a1971)) | c0_1(a1977) | c2_1(a1983) | (~c3_1(a1983)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c1_1(a1977) | c1_1(a1983) | c3_1(a1977) | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c0_1(a1971)) | c0_1(a1977) | c2_1(a1983) | (~c3_1(a1983)))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(591,plain,
% 0.75/0.76 (((~ndr1_0) | c1_1(a1971) | (~c2_1(a1971)) | (~c0_1(a1971)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c3_1(a1977) | c1_1(a1977) | c0_1(a1977)) <=> (c1_1(a1977) | c1_1(a1983) | c3_1(a1977) | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c0_1(a1971)) | c0_1(a1977) | c2_1(a1983) | (~c3_1(a1983)))),
% 0.75/0.76 inference(rewrite,[status(thm)],[])).
% 0.75/0.76 tff(592,plain,
% 0.75/0.76 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a1971) | (~c2_1(a1971)) | (~c0_1(a1971)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c3_1(a1977) | c1_1(a1977) | c0_1(a1977))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c1_1(a1977) | c1_1(a1983) | c3_1(a1977) | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c0_1(a1971)) | c0_1(a1977) | c2_1(a1983) | (~c3_1(a1983))))),
% 0.79/0.76 inference(monotonicity,[status(thm)],[591])).
% 0.79/0.76 tff(593,plain,
% 0.79/0.76 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a1971) | (~c2_1(a1971)) | (~c0_1(a1971)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c3_1(a1977) | c1_1(a1977) | c0_1(a1977))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c1_1(a1977) | c1_1(a1983) | c3_1(a1977) | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c0_1(a1971)) | c0_1(a1977) | c2_1(a1983) | (~c3_1(a1983)))),
% 0.79/0.76 inference(transitivity,[status(thm)],[592, 590])).
% 0.79/0.76 tff(594,plain,
% 0.79/0.76 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a1971) | (~c2_1(a1971)) | (~c0_1(a1971)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c3_1(a1977) | c1_1(a1977) | c0_1(a1977))),
% 0.79/0.76 inference(quant_inst,[status(thm)],[])).
% 0.79/0.76 tff(595,plain,
% 0.79/0.76 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c1_1(a1977) | c1_1(a1983) | c3_1(a1977) | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c0_1(a1971)) | c0_1(a1977) | c2_1(a1983) | (~c3_1(a1983))),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[594, 593])).
% 0.79/0.76 tff(596,plain,
% 0.79/0.76 ($false),
% 0.79/0.76 inference(unit_resolution,[status(thm)],[595, 162, 559, 567, 589, 588, 557, 554, 587, 586, 555, 576])).
% 0.79/0.76 tff(597,plain,(c3_1(a1977) | (~c3_1(a1983)) | (~c0_1(a1971)) | (~c2_1(a1971)) | c1_1(a1983) | c1_1(a1971) | c2_1(a1983) | hskp30 | c2_1(a1977) | c0_1(a1983)), inference(lemma,lemma(discharge,[]))).
% 0.79/0.76 tff(598,plain,
% 0.79/0.76 ($false),
% 0.79/0.76 inference(unit_resolution,[status(thm)],[597, 553, 552, 480, 469, 510, 458, 517, 54, 504, 493])).
% 0.79/0.76 tff(599,plain,(hskp30 | hskp27), inference(lemma,lemma(discharge,[]))).
% 0.79/0.76 tff(600,plain,
% 0.79/0.76 (hskp30),
% 0.79/0.76 inference(unit_resolution,[status(thm)],[599, 43])).
% 0.79/0.76 tff(601,plain,
% 0.79/0.76 (((~hskp30) | c3_1(a2005)) <=> ((~hskp30) | c3_1(a2005))),
% 0.79/0.76 inference(rewrite,[status(thm)],[])).
% 0.79/0.76 tff(602,axiom,((~hskp30) | c3_1(a2005)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause39')).
% 0.79/0.76 tff(603,plain,
% 0.79/0.76 ((~hskp30) | c3_1(a2005)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[602, 601])).
% 0.79/0.76 tff(604,plain,
% 0.79/0.76 ((~hskp30) | c3_1(a2005)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[603, 601])).
% 0.79/0.76 tff(605,plain,
% 0.79/0.76 ((~hskp30) | c3_1(a2005)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[604, 601])).
% 0.79/0.76 tff(606,plain,
% 0.79/0.76 ((~hskp30) | c3_1(a2005)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[605, 601])).
% 0.79/0.76 tff(607,plain,
% 0.79/0.76 ((~hskp30) | c3_1(a2005)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[606, 601])).
% 0.79/0.76 tff(608,plain,
% 0.79/0.76 ((~hskp30) | c3_1(a2005)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[607, 601])).
% 0.79/0.76 tff(609,plain,
% 0.79/0.76 ((~hskp30) | c3_1(a2005)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[608, 601])).
% 0.79/0.76 tff(610,plain,
% 0.79/0.76 ((~hskp30) | c3_1(a2005)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[609, 601])).
% 0.79/0.76 tff(611,plain,
% 0.79/0.76 (c3_1(a2005)),
% 0.79/0.76 inference(unit_resolution,[status(thm)],[610, 600])).
% 0.79/0.76 tff(612,plain,
% 0.79/0.76 (~c2_1(a2000)),
% 0.79/0.76 inference(unit_resolution,[status(thm)],[303, 162, 43, 21, 245, 251, 297])).
% 0.79/0.76 tff(613,plain,
% 0.79/0.76 ($false),
% 0.79/0.76 inference(unit_resolution,[status(thm)],[276, 162, 43, 245, 251, 257, 267, 612])).
% 0.79/0.76 tff(614,plain,((~hskp18) | hskp27 | hskp4), inference(lemma,lemma(discharge,[]))).
% 0.79/0.76 tff(615,plain,
% 0.79/0.76 (~hskp18),
% 0.79/0.76 inference(unit_resolution,[status(thm)],[614, 21, 43])).
% 0.79/0.76 tff(616,assumption,(hskp17), introduced(assumption)).
% 0.79/0.76 tff(617,plain,
% 0.79/0.76 (((~hskp17) | (~c0_1(a1998))) <=> ((~hskp17) | (~c0_1(a1998)))),
% 0.79/0.76 inference(rewrite,[status(thm)],[])).
% 0.79/0.76 tff(618,plain,
% 0.79/0.76 (((~c0_1(a1998)) | (~hskp17)) <=> ((~hskp17) | (~c0_1(a1998)))),
% 0.79/0.76 inference(rewrite,[status(thm)],[])).
% 0.79/0.76 tff(619,axiom,((~c0_1(a1998)) | (~hskp17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause101')).
% 0.79/0.76 tff(620,plain,
% 0.79/0.76 ((~hskp17) | (~c0_1(a1998))),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[619, 618])).
% 0.79/0.76 tff(621,plain,
% 0.79/0.76 ((~hskp17) | (~c0_1(a1998))),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[620, 617])).
% 0.79/0.76 tff(622,plain,
% 0.79/0.76 (~c0_1(a1998)),
% 0.79/0.76 inference(unit_resolution,[status(thm)],[621, 616])).
% 0.79/0.76 tff(623,plain,
% 0.79/0.76 (((~hskp17) | c3_1(a1998)) <=> ((~hskp17) | c3_1(a1998))),
% 0.79/0.76 inference(rewrite,[status(thm)],[])).
% 0.79/0.76 tff(624,axiom,((~hskp17) | c3_1(a1998)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause60')).
% 0.79/0.76 tff(625,plain,
% 0.79/0.76 ((~hskp17) | c3_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[624, 623])).
% 0.79/0.76 tff(626,plain,
% 0.79/0.76 ((~hskp17) | c3_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[625, 623])).
% 0.79/0.76 tff(627,plain,
% 0.79/0.76 ((~hskp17) | c3_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[626, 623])).
% 0.79/0.76 tff(628,plain,
% 0.79/0.76 ((~hskp17) | c3_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[627, 623])).
% 0.79/0.76 tff(629,plain,
% 0.79/0.76 ((~hskp17) | c3_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[628, 623])).
% 0.79/0.76 tff(630,plain,
% 0.79/0.76 ((~hskp17) | c3_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[629, 623])).
% 0.79/0.76 tff(631,plain,
% 0.79/0.76 ((~hskp17) | c3_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[630, 623])).
% 0.79/0.76 tff(632,plain,
% 0.79/0.76 ((~hskp17) | c3_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[631, 623])).
% 0.79/0.76 tff(633,plain,
% 0.79/0.76 (c3_1(a1998)),
% 0.79/0.76 inference(unit_resolution,[status(thm)],[632, 616])).
% 0.79/0.76 tff(634,plain,
% 0.79/0.76 (((~hskp17) | c1_1(a1998)) <=> ((~hskp17) | c1_1(a1998))),
% 0.79/0.76 inference(rewrite,[status(thm)],[])).
% 0.79/0.76 tff(635,axiom,((~hskp17) | c1_1(a1998)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause59')).
% 0.79/0.76 tff(636,plain,
% 0.79/0.76 ((~hskp17) | c1_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[635, 634])).
% 0.79/0.76 tff(637,plain,
% 0.79/0.76 ((~hskp17) | c1_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[636, 634])).
% 0.79/0.76 tff(638,plain,
% 0.79/0.76 ((~hskp17) | c1_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[637, 634])).
% 0.79/0.76 tff(639,plain,
% 0.79/0.76 ((~hskp17) | c1_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[638, 634])).
% 0.79/0.76 tff(640,plain,
% 0.79/0.76 ((~hskp17) | c1_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[639, 634])).
% 0.79/0.76 tff(641,plain,
% 0.79/0.76 ((~hskp17) | c1_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[640, 634])).
% 0.79/0.76 tff(642,plain,
% 0.79/0.76 ((~hskp17) | c1_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[641, 634])).
% 0.79/0.76 tff(643,plain,
% 0.79/0.76 ((~hskp17) | c1_1(a1998)),
% 0.79/0.76 inference(modus_ponens,[status(thm)],[642, 634])).
% 0.79/0.76 tff(644,plain,
% 0.79/0.76 (c1_1(a1998)),
% 0.79/0.76 inference(unit_resolution,[status(thm)],[643, 616])).
% 0.79/0.76 tff(645,plain,
% 0.79/0.76 (((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp4 | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c1_1(a1998)))) <=> ((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp4 | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c1_1(a1998)))),
% 0.79/0.76 inference(rewrite,[status(thm)],[])).
% 0.79/0.76 tff(646,plain,
% 0.79/0.76 ((hskp18 | hskp4 | (~ndr1_0) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998))) <=> (hskp18 | hskp4 | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c1_1(a1998)))),
% 0.79/0.76 inference(rewrite,[status(thm)],[])).
% 0.79/0.76 tff(647,plain,
% 0.79/0.76 (((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp4 | (~ndr1_0) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998)))) <=> ((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp4 | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c1_1(a1998))))),
% 0.79/0.76 inference(monotonicity,[status(thm)],[646])).
% 0.79/0.76 tff(648,plain,
% 0.79/0.76 (((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp4 | (~ndr1_0) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998)))) <=> ((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp4 | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c1_1(a1998)))),
% 0.79/0.77 inference(transitivity,[status(thm)],[647, 645])).
% 0.79/0.77 tff(649,plain,
% 0.79/0.77 ((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp4 | (~ndr1_0) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998)))),
% 0.79/0.77 inference(quant_inst,[status(thm)],[])).
% 0.79/0.77 tff(650,plain,
% 0.79/0.77 ((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp4 | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c1_1(a1998))),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[649, 648])).
% 0.79/0.77 tff(651,plain,
% 0.79/0.77 ($false),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[650, 162, 332, 21, 644, 633, 622, 342])).
% 0.79/0.77 tff(652,plain,((~hskp17) | hskp18 | hskp4), inference(lemma,lemma(discharge,[]))).
% 0.79/0.77 tff(653,plain,
% 0.79/0.77 (~hskp17),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[652, 615, 21])).
% 0.79/0.77 tff(654,plain,
% 0.79/0.77 (((~hskp30) | c2_1(a2005)) <=> ((~hskp30) | c2_1(a2005))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(655,axiom,((~hskp30) | c2_1(a2005)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause38')).
% 0.79/0.77 tff(656,plain,
% 0.79/0.77 ((~hskp30) | c2_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[655, 654])).
% 0.79/0.77 tff(657,plain,
% 0.79/0.77 ((~hskp30) | c2_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[656, 654])).
% 0.79/0.77 tff(658,plain,
% 0.79/0.77 ((~hskp30) | c2_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[657, 654])).
% 0.79/0.77 tff(659,plain,
% 0.79/0.77 ((~hskp30) | c2_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[658, 654])).
% 0.79/0.77 tff(660,plain,
% 0.79/0.77 ((~hskp30) | c2_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[659, 654])).
% 0.79/0.77 tff(661,plain,
% 0.79/0.77 ((~hskp30) | c2_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[660, 654])).
% 0.79/0.77 tff(662,plain,
% 0.79/0.77 ((~hskp30) | c2_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[661, 654])).
% 0.79/0.77 tff(663,plain,
% 0.79/0.77 ((~hskp30) | c2_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[662, 654])).
% 0.79/0.77 tff(664,plain,
% 0.79/0.77 (c2_1(a2005)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[663, 600])).
% 0.79/0.77 tff(665,plain,
% 0.79/0.77 (((~hskp30) | c0_1(a2005)) <=> ((~hskp30) | c0_1(a2005))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(666,axiom,((~hskp30) | c0_1(a2005)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause37')).
% 0.79/0.77 tff(667,plain,
% 0.79/0.77 ((~hskp30) | c0_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[666, 665])).
% 0.79/0.77 tff(668,plain,
% 0.79/0.77 ((~hskp30) | c0_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[667, 665])).
% 0.79/0.77 tff(669,plain,
% 0.79/0.77 ((~hskp30) | c0_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[668, 665])).
% 0.79/0.77 tff(670,plain,
% 0.79/0.77 ((~hskp30) | c0_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[669, 665])).
% 0.79/0.77 tff(671,plain,
% 0.79/0.77 ((~hskp30) | c0_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[670, 665])).
% 0.79/0.77 tff(672,plain,
% 0.79/0.77 ((~hskp30) | c0_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[671, 665])).
% 0.79/0.77 tff(673,plain,
% 0.79/0.77 ((~hskp30) | c0_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[672, 665])).
% 0.79/0.77 tff(674,plain,
% 0.79/0.77 ((~hskp30) | c0_1(a2005)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[673, 665])).
% 0.79/0.77 tff(675,plain,
% 0.79/0.77 (c0_1(a2005)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[674, 600])).
% 0.79/0.77 tff(676,plain,
% 0.79/0.77 (((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | (~ndr1_0) | (~c0_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)))) <=> ((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp17 | (~ndr1_0) | (~c0_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(677,plain,
% 0.79/0.77 ((hskp17 | (~ndr1_0) | (~c2_1(a2005)) | (~c1_1(a2005)) | (~c0_1(a2005))) <=> (hskp17 | (~ndr1_0) | (~c0_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(678,plain,
% 0.79/0.77 (((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | (~ndr1_0) | (~c2_1(a2005)) | (~c1_1(a2005)) | (~c0_1(a2005)))) <=> ((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | (~ndr1_0) | (~c0_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005))))),
% 0.79/0.77 inference(monotonicity,[status(thm)],[677])).
% 0.79/0.77 tff(679,plain,
% 0.79/0.77 (((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | (~ndr1_0) | (~c2_1(a2005)) | (~c1_1(a2005)) | (~c0_1(a2005)))) <=> ((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp17 | (~ndr1_0) | (~c0_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)))),
% 0.79/0.77 inference(transitivity,[status(thm)],[678, 676])).
% 0.79/0.77 tff(680,plain,
% 0.79/0.77 ((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | (~ndr1_0) | (~c2_1(a2005)) | (~c1_1(a2005)) | (~c0_1(a2005)))),
% 0.79/0.77 inference(quant_inst,[status(thm)],[])).
% 0.79/0.77 tff(681,plain,
% 0.79/0.77 ((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp17 | (~ndr1_0) | (~c0_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005))),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[680, 679])).
% 0.79/0.77 tff(682,plain,
% 0.79/0.77 (hskp17 | (~c1_1(a2005))),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[681, 162, 675, 664, 42])).
% 0.79/0.77 tff(683,plain,
% 0.79/0.77 (~c1_1(a2005)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[682, 653])).
% 0.79/0.77 tff(684,plain,
% 0.79/0.77 (^[U: $i] : refl((hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) <=> (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))))),
% 0.79/0.77 inference(bind,[status(th)],[])).
% 0.79/0.77 tff(685,plain,
% 0.79/0.77 (![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 0.79/0.77 inference(quant_intro,[status(thm)],[684])).
% 0.79/0.77 tff(686,plain,
% 0.79/0.77 (![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) <=> ![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(687,plain,
% 0.79/0.77 (^[U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c0_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp6) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp6))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp6) <=> (hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))), ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp6) <=> (hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp6) | hskp18) <=> ((hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp18))), rewrite(((hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U))) | hskp18) <=> (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))), (((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp6) | hskp18) <=> (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))))),
% 0.79/0.77 inference(bind,[status(th)],[])).
% 0.79/0.77 tff(688,plain,
% 0.79/0.77 (![U: $i] : ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp6) | hskp18) <=> ![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 0.79/0.77 inference(quant_intro,[status(thm)],[687])).
% 0.79/0.77 tff(689,axiom,(![U: $i] : ((((((~c0_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp6) | hskp18)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause147')).
% 0.79/0.77 tff(690,plain,
% 0.79/0.77 (![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[689, 688])).
% 0.79/0.77 tff(691,plain,
% 0.79/0.77 (![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[690, 686])).
% 0.79/0.77 tff(692,plain,(
% 0.79/0.77 ![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 0.79/0.77 inference(skolemize,[status(sab)],[691])).
% 0.79/0.77 tff(693,plain,
% 0.79/0.77 (![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[692, 685])).
% 0.79/0.77 tff(694,plain,
% 0.79/0.77 (((~![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp18 | hskp6 | (~ndr1_0) | (~c3_1(a2005)) | c1_1(a2005) | (~c0_1(a2005)))) <=> ((~![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp18 | hskp6 | (~ndr1_0) | (~c3_1(a2005)) | c1_1(a2005) | (~c0_1(a2005)))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(695,plain,
% 0.79/0.77 ((hskp18 | hskp6 | (~ndr1_0) | c1_1(a2005) | (~c3_1(a2005)) | (~c0_1(a2005))) <=> (hskp18 | hskp6 | (~ndr1_0) | (~c3_1(a2005)) | c1_1(a2005) | (~c0_1(a2005)))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(696,plain,
% 0.79/0.77 (((~![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp18 | hskp6 | (~ndr1_0) | c1_1(a2005) | (~c3_1(a2005)) | (~c0_1(a2005)))) <=> ((~![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp18 | hskp6 | (~ndr1_0) | (~c3_1(a2005)) | c1_1(a2005) | (~c0_1(a2005))))),
% 0.79/0.77 inference(monotonicity,[status(thm)],[695])).
% 0.79/0.77 tff(697,plain,
% 0.79/0.77 (((~![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp18 | hskp6 | (~ndr1_0) | c1_1(a2005) | (~c3_1(a2005)) | (~c0_1(a2005)))) <=> ((~![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp18 | hskp6 | (~ndr1_0) | (~c3_1(a2005)) | c1_1(a2005) | (~c0_1(a2005)))),
% 0.79/0.77 inference(transitivity,[status(thm)],[696, 694])).
% 0.79/0.77 tff(698,plain,
% 0.79/0.77 ((~![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | (hskp18 | hskp6 | (~ndr1_0) | c1_1(a2005) | (~c3_1(a2005)) | (~c0_1(a2005)))),
% 0.79/0.77 inference(quant_inst,[status(thm)],[])).
% 0.79/0.77 tff(699,plain,
% 0.79/0.77 ((~![U: $i] : (hskp18 | hskp6 | (~ndr1_0) | c1_1(U) | (~c3_1(U)) | (~c0_1(U)))) | hskp18 | hskp6 | (~ndr1_0) | (~c3_1(a2005)) | c1_1(a2005) | (~c0_1(a2005))),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[698, 697])).
% 0.79/0.77 tff(700,plain,
% 0.79/0.77 (hskp18 | hskp6 | c1_1(a2005)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[699, 162, 675, 611, 693])).
% 0.79/0.77 tff(701,plain,
% 0.79/0.77 (hskp6),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[700, 683, 615])).
% 0.79/0.77 tff(702,plain,
% 0.79/0.77 (~c2_1(a1979)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[74, 701])).
% 0.79/0.77 tff(703,plain,
% 0.79/0.77 (~c0_1(a1979)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[80, 701])).
% 0.79/0.77 tff(704,plain,
% 0.79/0.77 (c3_1(a1979)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[91, 701])).
% 0.79/0.77 tff(705,plain,
% 0.79/0.77 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp8 | c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | c1_1(a2005) | (~c0_1(a2005)) | (~c2_1(a2005)) | (~c3_1(a1979)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp8 | c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | c1_1(a2005) | (~c0_1(a2005)) | (~c2_1(a2005)) | (~c3_1(a1979)))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(706,plain,
% 0.79/0.77 ((hskp8 | (~ndr1_0) | c1_1(a2005) | (~c2_1(a2005)) | (~c0_1(a2005)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979))) <=> (hskp8 | c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | c1_1(a2005) | (~c0_1(a2005)) | (~c2_1(a2005)) | (~c3_1(a1979)))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(707,plain,
% 0.79/0.77 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c1_1(a2005) | (~c2_1(a2005)) | (~c0_1(a2005)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp8 | c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | c1_1(a2005) | (~c0_1(a2005)) | (~c2_1(a2005)) | (~c3_1(a1979))))),
% 0.79/0.77 inference(monotonicity,[status(thm)],[706])).
% 0.79/0.77 tff(708,plain,
% 0.79/0.77 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c1_1(a2005) | (~c2_1(a2005)) | (~c0_1(a2005)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp8 | c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | c1_1(a2005) | (~c0_1(a2005)) | (~c2_1(a2005)) | (~c3_1(a1979)))),
% 0.79/0.77 inference(transitivity,[status(thm)],[707, 705])).
% 0.79/0.77 tff(709,plain,
% 0.79/0.77 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c1_1(a2005) | (~c2_1(a2005)) | (~c0_1(a2005)) | c0_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))),
% 0.79/0.77 inference(quant_inst,[status(thm)],[])).
% 0.79/0.77 tff(710,plain,
% 0.79/0.77 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp8 | c0_1(a1979) | c2_1(a1979) | (~ndr1_0) | c1_1(a2005) | (~c0_1(a2005)) | (~c2_1(a2005)) | (~c3_1(a1979))),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[709, 708])).
% 0.79/0.77 tff(711,plain,
% 0.79/0.77 (hskp8),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[710, 162, 675, 664, 704, 703, 702, 53, 683])).
% 0.79/0.77 tff(712,plain,
% 0.79/0.77 (~c1_1(a1983)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[509, 711])).
% 0.79/0.77 tff(713,plain,
% 0.79/0.77 (~c0_1(a1983)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[492, 711])).
% 0.79/0.77 tff(714,plain,
% 0.79/0.77 (~c2_1(a1983)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[516, 162, 43, 21, 713, 712, 297])).
% 0.79/0.77 tff(715,plain,
% 0.79/0.77 (~c1_1(a1979)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[348, 162, 615, 21, 704, 703, 342])).
% 0.79/0.77 tff(716,plain,
% 0.79/0.77 (c3_1(a1983)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[503, 711])).
% 0.79/0.77 tff(717,assumption,(hskp2), introduced(assumption)).
% 0.79/0.77 tff(718,plain,
% 0.79/0.77 (((~hskp2) | c3_1(a1973)) <=> ((~hskp2) | c3_1(a1973))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(719,axiom,((~hskp2) | c3_1(a1973)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause81')).
% 0.79/0.77 tff(720,plain,
% 0.79/0.77 ((~hskp2) | c3_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[719, 718])).
% 0.79/0.77 tff(721,plain,
% 0.79/0.77 ((~hskp2) | c3_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[720, 718])).
% 0.79/0.77 tff(722,plain,
% 0.79/0.77 ((~hskp2) | c3_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[721, 718])).
% 0.79/0.77 tff(723,plain,
% 0.79/0.77 ((~hskp2) | c3_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[722, 718])).
% 0.79/0.77 tff(724,plain,
% 0.79/0.77 ((~hskp2) | c3_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[723, 718])).
% 0.79/0.77 tff(725,plain,
% 0.79/0.77 ((~hskp2) | c3_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[724, 718])).
% 0.79/0.77 tff(726,plain,
% 0.79/0.77 ((~hskp2) | c3_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[725, 718])).
% 0.79/0.77 tff(727,plain,
% 0.79/0.77 ((~hskp2) | c3_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[726, 718])).
% 0.79/0.77 tff(728,plain,
% 0.79/0.77 (c3_1(a1973)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[727, 717])).
% 0.79/0.77 tff(729,plain,
% 0.79/0.77 (((~hskp2) | c1_1(a1973)) <=> ((~hskp2) | c1_1(a1973))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(730,axiom,((~hskp2) | c1_1(a1973)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause80')).
% 0.79/0.77 tff(731,plain,
% 0.79/0.77 ((~hskp2) | c1_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[730, 729])).
% 0.79/0.77 tff(732,plain,
% 0.79/0.77 ((~hskp2) | c1_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[731, 729])).
% 0.79/0.77 tff(733,plain,
% 0.79/0.77 ((~hskp2) | c1_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[732, 729])).
% 0.79/0.77 tff(734,plain,
% 0.79/0.77 ((~hskp2) | c1_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[733, 729])).
% 0.79/0.77 tff(735,plain,
% 0.79/0.77 ((~hskp2) | c1_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[734, 729])).
% 0.79/0.77 tff(736,plain,
% 0.79/0.77 ((~hskp2) | c1_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[735, 729])).
% 0.79/0.77 tff(737,plain,
% 0.79/0.77 ((~hskp2) | c1_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[736, 729])).
% 0.79/0.77 tff(738,plain,
% 0.79/0.77 ((~hskp2) | c1_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[737, 729])).
% 0.79/0.77 tff(739,plain,
% 0.79/0.77 (c1_1(a1973)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[738, 717])).
% 0.79/0.77 tff(740,plain,
% 0.79/0.77 (((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp4 | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | c0_1(a1973))) <=> ((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp4 | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | c0_1(a1973))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(741,plain,
% 0.79/0.77 ((hskp18 | hskp4 | (~ndr1_0) | c0_1(a1973) | (~c3_1(a1973)) | (~c1_1(a1973))) <=> (hskp18 | hskp4 | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | c0_1(a1973))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(742,plain,
% 0.79/0.77 (((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp4 | (~ndr1_0) | c0_1(a1973) | (~c3_1(a1973)) | (~c1_1(a1973)))) <=> ((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp4 | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | c0_1(a1973)))),
% 0.79/0.77 inference(monotonicity,[status(thm)],[741])).
% 0.79/0.77 tff(743,plain,
% 0.79/0.77 (((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp4 | (~ndr1_0) | c0_1(a1973) | (~c3_1(a1973)) | (~c1_1(a1973)))) <=> ((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp4 | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | c0_1(a1973))),
% 0.79/0.77 inference(transitivity,[status(thm)],[742, 740])).
% 0.79/0.77 tff(744,plain,
% 0.79/0.77 ((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp18 | hskp4 | (~ndr1_0) | c0_1(a1973) | (~c3_1(a1973)) | (~c1_1(a1973)))),
% 0.79/0.77 inference(quant_inst,[status(thm)],[])).
% 0.79/0.77 tff(745,plain,
% 0.79/0.77 ((~![U: $i] : (hskp18 | hskp4 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp18 | hskp4 | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | c0_1(a1973)),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[744, 743])).
% 0.79/0.77 tff(746,plain,
% 0.79/0.77 (c0_1(a1973)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[745, 162, 332, 21, 739, 728, 342])).
% 0.79/0.77 tff(747,plain,
% 0.79/0.77 (^[V: $i, U: $i] : refl((hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))))),
% 0.79/0.77 inference(bind,[status(th)],[])).
% 0.79/0.77 tff(748,plain,
% 0.79/0.77 (![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.79/0.77 inference(quant_intro,[status(thm)],[747])).
% 0.79/0.77 tff(749,plain,
% 0.79/0.77 (![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(750,plain,
% 0.79/0.77 (^[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)) | hskp20) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp20))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp20) <=> (hskp20 | (~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)) | hskp20) <=> (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))))),
% 0.79/0.77 inference(bind,[status(th)],[])).
% 0.79/0.77 tff(751,plain,
% 0.79/0.77 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c2_1(V)) | hskp20) <=> ![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.79/0.77 inference(quant_intro,[status(thm)],[750])).
% 0.79/0.77 tff(752,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)) | hskp20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause186')).
% 0.79/0.77 tff(753,plain,
% 0.79/0.77 (![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[752, 751])).
% 0.79/0.77 tff(754,plain,
% 0.79/0.77 (![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[753, 749])).
% 0.79/0.77 tff(755,plain,(
% 0.79/0.77 ![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.79/0.77 inference(skolemize,[status(sab)],[754])).
% 0.79/0.77 tff(756,plain,
% 0.79/0.77 (![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[755, 748])).
% 0.79/0.77 tff(757,plain,
% 0.79/0.77 (((~hskp2) | (~c2_1(a1973))) <=> ((~hskp2) | (~c2_1(a1973)))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(758,plain,
% 0.79/0.77 (((~c2_1(a1973)) | (~hskp2)) <=> ((~hskp2) | (~c2_1(a1973)))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(759,axiom,((~c2_1(a1973)) | (~hskp2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause125')).
% 0.79/0.77 tff(760,plain,
% 0.79/0.77 ((~hskp2) | (~c2_1(a1973))),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[759, 758])).
% 0.79/0.77 tff(761,plain,
% 0.79/0.77 ((~hskp2) | (~c2_1(a1973))),
% 0.79/0.77 inference(modus_ponens,[status(thm)],[760, 757])).
% 0.79/0.77 tff(762,plain,
% 0.79/0.77 (~c2_1(a1973)),
% 0.79/0.77 inference(unit_resolution,[status(thm)],[761, 717])).
% 0.79/0.77 tff(763,plain,
% 0.79/0.77 (((~![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp20 | c2_1(a1973) | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | (~c0_1(a1973)))) <=> ((~![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp20 | c2_1(a1973) | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | (~c0_1(a1973)))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(764,plain,
% 0.79/0.77 ((hskp20 | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | (~c0_1(a1973)) | c2_1(a1973) | (~c3_1(a1973)) | (~c1_1(a1973))) <=> (hskp20 | c2_1(a1973) | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | (~c0_1(a1973)))),
% 0.79/0.77 inference(rewrite,[status(thm)],[])).
% 0.79/0.77 tff(765,plain,
% 0.79/0.77 (((~![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp20 | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | (~c0_1(a1973)) | c2_1(a1973) | (~c3_1(a1973)) | (~c1_1(a1973)))) <=> ((~![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp20 | c2_1(a1973) | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | (~c0_1(a1973))))),
% 0.79/0.78 inference(monotonicity,[status(thm)],[764])).
% 0.79/0.78 tff(766,plain,
% 0.79/0.78 (((~![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp20 | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | (~c0_1(a1973)) | c2_1(a1973) | (~c3_1(a1973)) | (~c1_1(a1973)))) <=> ((~![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp20 | c2_1(a1973) | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | (~c0_1(a1973)))),
% 0.79/0.78 inference(transitivity,[status(thm)],[765, 763])).
% 0.79/0.78 tff(767,plain,
% 0.79/0.78 ((~![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp20 | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | (~c0_1(a1973)) | c2_1(a1973) | (~c3_1(a1973)) | (~c1_1(a1973)))),
% 0.79/0.78 inference(quant_inst,[status(thm)],[])).
% 0.79/0.78 tff(768,plain,
% 0.79/0.78 ((~![V: $i, U: $i] : (hskp20 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c2_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp20 | c2_1(a1973) | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | (~c0_1(a1973))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[767, 766])).
% 0.79/0.78 tff(769,plain,
% 0.79/0.78 (hskp20),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[768, 162, 739, 728, 762, 756, 746])).
% 0.79/0.78 tff(770,plain,
% 0.79/0.78 (((~hskp20) | c2_1(a2003)) <=> ((~hskp20) | c2_1(a2003))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(771,axiom,((~hskp20) | c2_1(a2003)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause56')).
% 0.79/0.78 tff(772,plain,
% 0.79/0.78 ((~hskp20) | c2_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[771, 770])).
% 0.79/0.78 tff(773,plain,
% 0.79/0.78 ((~hskp20) | c2_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[772, 770])).
% 0.79/0.78 tff(774,plain,
% 0.79/0.78 ((~hskp20) | c2_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[773, 770])).
% 0.79/0.78 tff(775,plain,
% 0.79/0.78 ((~hskp20) | c2_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[774, 770])).
% 0.79/0.78 tff(776,plain,
% 0.79/0.78 ((~hskp20) | c2_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[775, 770])).
% 0.79/0.78 tff(777,plain,
% 0.79/0.78 ((~hskp20) | c2_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[776, 770])).
% 0.79/0.78 tff(778,plain,
% 0.79/0.78 ((~hskp20) | c2_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[777, 770])).
% 0.79/0.78 tff(779,plain,
% 0.79/0.78 ((~hskp20) | c2_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[778, 770])).
% 0.79/0.78 tff(780,plain,
% 0.79/0.78 (c2_1(a2003)),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[779, 769])).
% 0.79/0.78 tff(781,plain,
% 0.79/0.78 (((~hskp20) | c1_1(a2003)) <=> ((~hskp20) | c1_1(a2003))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(782,axiom,((~hskp20) | c1_1(a2003)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause55')).
% 0.79/0.78 tff(783,plain,
% 0.79/0.78 ((~hskp20) | c1_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[782, 781])).
% 0.79/0.78 tff(784,plain,
% 0.79/0.78 ((~hskp20) | c1_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[783, 781])).
% 0.79/0.78 tff(785,plain,
% 0.79/0.78 ((~hskp20) | c1_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[784, 781])).
% 0.79/0.78 tff(786,plain,
% 0.79/0.78 ((~hskp20) | c1_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[785, 781])).
% 0.79/0.78 tff(787,plain,
% 0.79/0.78 ((~hskp20) | c1_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[786, 781])).
% 0.79/0.78 tff(788,plain,
% 0.79/0.78 ((~hskp20) | c1_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[787, 781])).
% 0.79/0.78 tff(789,plain,
% 0.79/0.78 ((~hskp20) | c1_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[788, 781])).
% 0.79/0.78 tff(790,plain,
% 0.79/0.78 ((~hskp20) | c1_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[789, 781])).
% 0.79/0.78 tff(791,plain,
% 0.79/0.78 (c1_1(a2003)),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[790, 769])).
% 0.79/0.78 tff(792,plain,
% 0.79/0.78 (~hskp17),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[652, 332, 21])).
% 0.79/0.78 tff(793,plain,
% 0.79/0.78 (((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | (~ndr1_0) | (~c1_1(a2003)) | (~c0_1(a2003)) | (~c2_1(a2003)))) <=> ((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp17 | (~ndr1_0) | (~c1_1(a2003)) | (~c0_1(a2003)) | (~c2_1(a2003)))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(794,plain,
% 0.79/0.78 ((hskp17 | (~ndr1_0) | (~c2_1(a2003)) | (~c1_1(a2003)) | (~c0_1(a2003))) <=> (hskp17 | (~ndr1_0) | (~c1_1(a2003)) | (~c0_1(a2003)) | (~c2_1(a2003)))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(795,plain,
% 0.79/0.78 (((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | (~ndr1_0) | (~c2_1(a2003)) | (~c1_1(a2003)) | (~c0_1(a2003)))) <=> ((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | (~ndr1_0) | (~c1_1(a2003)) | (~c0_1(a2003)) | (~c2_1(a2003))))),
% 0.79/0.78 inference(monotonicity,[status(thm)],[794])).
% 0.79/0.78 tff(796,plain,
% 0.79/0.78 (((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | (~ndr1_0) | (~c2_1(a2003)) | (~c1_1(a2003)) | (~c0_1(a2003)))) <=> ((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp17 | (~ndr1_0) | (~c1_1(a2003)) | (~c0_1(a2003)) | (~c2_1(a2003)))),
% 0.79/0.78 inference(transitivity,[status(thm)],[795, 793])).
% 0.79/0.78 tff(797,plain,
% 0.79/0.78 ((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | (~ndr1_0) | (~c2_1(a2003)) | (~c1_1(a2003)) | (~c0_1(a2003)))),
% 0.79/0.78 inference(quant_inst,[status(thm)],[])).
% 0.79/0.78 tff(798,plain,
% 0.79/0.78 ((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp17 | (~ndr1_0) | (~c1_1(a2003)) | (~c0_1(a2003)) | (~c2_1(a2003))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[797, 796])).
% 0.79/0.78 tff(799,plain,
% 0.79/0.78 (~c0_1(a2003)),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[798, 162, 792, 791, 780, 42])).
% 0.79/0.78 tff(800,plain,
% 0.79/0.78 (((~hskp20) | (~c3_1(a2003))) <=> ((~hskp20) | (~c3_1(a2003)))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(801,plain,
% 0.79/0.78 (((~c3_1(a2003)) | (~hskp20)) <=> ((~hskp20) | (~c3_1(a2003)))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(802,axiom,((~c3_1(a2003)) | (~hskp20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause96')).
% 0.79/0.78 tff(803,plain,
% 0.79/0.78 ((~hskp20) | (~c3_1(a2003))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[802, 801])).
% 0.79/0.78 tff(804,plain,
% 0.79/0.78 ((~hskp20) | (~c3_1(a2003))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[803, 800])).
% 0.79/0.78 tff(805,plain,
% 0.79/0.78 (~c3_1(a2003)),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[804, 769])).
% 0.79/0.78 tff(806,plain,
% 0.79/0.78 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c3_1(a2003) | c0_1(a1983) | c2_1(a1973) | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | c2_1(a1983) | (~c3_1(a1983)) | (~c1_1(a2003)) | c0_1(a2003))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c3_1(a2003) | c0_1(a1983) | c2_1(a1973) | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | c2_1(a1983) | (~c3_1(a1983)) | (~c1_1(a2003)) | c0_1(a2003))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(807,plain,
% 0.79/0.78 (((~ndr1_0) | c2_1(a1973) | (~c3_1(a1973)) | (~c1_1(a1973)) | c3_1(a2003) | c0_1(a2003) | (~c1_1(a2003)) | c0_1(a1983) | c2_1(a1983) | (~c3_1(a1983))) <=> (c3_1(a2003) | c0_1(a1983) | c2_1(a1973) | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | c2_1(a1983) | (~c3_1(a1983)) | (~c1_1(a2003)) | c0_1(a2003))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(808,plain,
% 0.79/0.78 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1973) | (~c3_1(a1973)) | (~c1_1(a1973)) | c3_1(a2003) | c0_1(a2003) | (~c1_1(a2003)) | c0_1(a1983) | c2_1(a1983) | (~c3_1(a1983)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c3_1(a2003) | c0_1(a1983) | c2_1(a1973) | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | c2_1(a1983) | (~c3_1(a1983)) | (~c1_1(a2003)) | c0_1(a2003)))),
% 0.79/0.78 inference(monotonicity,[status(thm)],[807])).
% 0.79/0.78 tff(809,plain,
% 0.79/0.78 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1973) | (~c3_1(a1973)) | (~c1_1(a1973)) | c3_1(a2003) | c0_1(a2003) | (~c1_1(a2003)) | c0_1(a1983) | c2_1(a1983) | (~c3_1(a1983)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c3_1(a2003) | c0_1(a1983) | c2_1(a1973) | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | c2_1(a1983) | (~c3_1(a1983)) | (~c1_1(a2003)) | c0_1(a2003))),
% 0.79/0.78 inference(transitivity,[status(thm)],[808, 806])).
% 0.79/0.78 tff(810,plain,
% 0.79/0.78 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1973) | (~c3_1(a1973)) | (~c1_1(a1973)) | c3_1(a2003) | c0_1(a2003) | (~c1_1(a2003)) | c0_1(a1983) | c2_1(a1983) | (~c3_1(a1983)))),
% 0.79/0.78 inference(quant_inst,[status(thm)],[])).
% 0.79/0.78 tff(811,plain,
% 0.79/0.78 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c1_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c3_1(a2003) | c0_1(a1983) | c2_1(a1973) | (~ndr1_0) | (~c3_1(a1973)) | (~c1_1(a1973)) | c2_1(a1983) | (~c3_1(a1983)) | (~c1_1(a2003)) | c0_1(a2003)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[810, 809])).
% 0.79/0.78 tff(812,plain,
% 0.79/0.78 ($false),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[811, 162, 791, 559, 739, 728, 805, 558, 762, 206, 555, 799])).
% 0.79/0.78 tff(813,plain,((~hskp2) | (~c3_1(a1983)) | c0_1(a1983) | c2_1(a1983) | hskp18 | hskp4), inference(lemma,lemma(discharge,[]))).
% 0.79/0.78 tff(814,plain,
% 0.79/0.78 (~hskp2),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[813, 716, 713, 714, 615, 21])).
% 0.79/0.78 tff(815,plain,
% 0.79/0.78 (^[U: $i] : refl((hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))) <=> (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))))),
% 0.79/0.78 inference(bind,[status(th)],[])).
% 0.79/0.78 tff(816,plain,
% 0.79/0.78 (![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))),
% 0.79/0.78 inference(quant_intro,[status(thm)],[815])).
% 0.79/0.78 tff(817,plain,
% 0.79/0.78 (![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))) <=> ![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(818,plain,
% 0.79/0.78 (^[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)) | c1_1(U)) <=> (((~ndr1_0) | (~c3_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U)))), ((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c3_1(U))))), (((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) <=> (((~ndr1_0) | c1_1(U) | (~c3_1(U))) | c2_1(U)))), rewrite((((~ndr1_0) | c1_1(U) | (~c3_1(U))) | c2_1(U)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))), (((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) <=> ((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))))), ((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp22) <=> (((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))) | hskp22))), rewrite((((~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))) | hskp22) <=> (hskp22 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))), ((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp22) <=> (hskp22 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))))), (((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp22) | hskp2) <=> ((hskp22 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))) | hskp2))), rewrite(((hskp22 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U))) | hskp2) <=> (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))), (((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp22) | hskp2) <=> (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))))),
% 0.79/0.78 inference(bind,[status(th)],[])).
% 0.79/0.78 tff(819,plain,
% 0.79/0.78 (![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp22) | hskp2) <=> ![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))),
% 0.79/0.78 inference(quant_intro,[status(thm)],[818])).
% 0.79/0.78 tff(820,axiom,(![U: $i] : ((((((~c3_1(U)) | (~ndr1_0)) | c1_1(U)) | c2_1(U)) | hskp22) | hskp2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause137')).
% 0.79/0.78 tff(821,plain,
% 0.79/0.78 (![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[820, 819])).
% 0.79/0.78 tff(822,plain,
% 0.79/0.78 (![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[821, 817])).
% 0.79/0.78 tff(823,plain,(
% 0.79/0.78 ![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))),
% 0.79/0.78 inference(skolemize,[status(sab)],[822])).
% 0.79/0.78 tff(824,plain,
% 0.79/0.78 (![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[823, 816])).
% 0.79/0.78 tff(825,plain,
% 0.79/0.78 (((~![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | (hskp22 | hskp2 | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | c1_1(a1979))) <=> ((~![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | hskp22 | hskp2 | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | c1_1(a1979))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(826,plain,
% 0.79/0.78 ((hskp22 | hskp2 | (~ndr1_0) | c1_1(a1979) | c2_1(a1979) | (~c3_1(a1979))) <=> (hskp22 | hskp2 | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | c1_1(a1979))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(827,plain,
% 0.79/0.78 (((~![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | (hskp22 | hskp2 | (~ndr1_0) | c1_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | (hskp22 | hskp2 | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | c1_1(a1979)))),
% 0.79/0.78 inference(monotonicity,[status(thm)],[826])).
% 0.79/0.78 tff(828,plain,
% 0.79/0.78 (((~![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | (hskp22 | hskp2 | (~ndr1_0) | c1_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))) <=> ((~![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | hskp22 | hskp2 | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | c1_1(a1979))),
% 0.79/0.78 inference(transitivity,[status(thm)],[827, 825])).
% 0.79/0.78 tff(829,plain,
% 0.79/0.78 ((~![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | (hskp22 | hskp2 | (~ndr1_0) | c1_1(a1979) | c2_1(a1979) | (~c3_1(a1979)))),
% 0.79/0.78 inference(quant_inst,[status(thm)],[])).
% 0.79/0.78 tff(830,plain,
% 0.79/0.78 ((~![U: $i] : (hskp22 | hskp2 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | hskp22 | hskp2 | c2_1(a1979) | (~ndr1_0) | (~c3_1(a1979)) | c1_1(a1979)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[829, 828])).
% 0.79/0.78 tff(831,plain,
% 0.79/0.78 (hskp22 | hskp2 | c1_1(a1979)),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[830, 162, 704, 702, 824])).
% 0.79/0.78 tff(832,plain,
% 0.79/0.78 (hskp22),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[831, 814, 715])).
% 0.79/0.78 tff(833,plain,
% 0.79/0.78 (((~hskp22) | (~c3_1(a2012))) <=> ((~hskp22) | (~c3_1(a2012)))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(834,plain,
% 0.79/0.78 (((~c3_1(a2012)) | (~hskp22)) <=> ((~hskp22) | (~c3_1(a2012)))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(835,axiom,((~c3_1(a2012)) | (~hskp22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause93')).
% 0.79/0.78 tff(836,plain,
% 0.79/0.78 ((~hskp22) | (~c3_1(a2012))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[835, 834])).
% 0.79/0.78 tff(837,plain,
% 0.79/0.78 ((~hskp22) | (~c3_1(a2012))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[836, 833])).
% 0.79/0.78 tff(838,plain,
% 0.79/0.78 (~c3_1(a2012)),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[837, 832])).
% 0.79/0.78 tff(839,plain,
% 0.79/0.78 (((~hskp22) | (~c2_1(a2012))) <=> ((~hskp22) | (~c2_1(a2012)))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(840,plain,
% 0.79/0.78 (((~c2_1(a2012)) | (~hskp22)) <=> ((~hskp22) | (~c2_1(a2012)))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(841,axiom,((~c2_1(a2012)) | (~hskp22)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause92')).
% 0.79/0.78 tff(842,plain,
% 0.79/0.78 ((~hskp22) | (~c2_1(a2012))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[841, 840])).
% 0.79/0.78 tff(843,plain,
% 0.79/0.78 ((~hskp22) | (~c2_1(a2012))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[842, 839])).
% 0.79/0.78 tff(844,plain,
% 0.79/0.78 (~c2_1(a2012)),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[843, 832])).
% 0.79/0.78 tff(845,plain,
% 0.79/0.78 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c2_1(a2012) | c3_1(a2012) | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)) | (~c1_1(a2012)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c2_1(a2012) | c3_1(a2012) | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)) | (~c1_1(a2012)))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(846,plain,
% 0.79/0.78 (((~ndr1_0) | c2_1(a2012) | c3_1(a2012) | (~c1_1(a2012)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c0_1(a1983) | c2_1(a1983) | (~c3_1(a1983))) <=> (c2_1(a2012) | c3_1(a2012) | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)) | (~c1_1(a2012)))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(847,plain,
% 0.79/0.78 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a2012) | c3_1(a2012) | (~c1_1(a2012)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c0_1(a1983) | c2_1(a1983) | (~c3_1(a1983)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c2_1(a2012) | c3_1(a2012) | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)) | (~c1_1(a2012))))),
% 0.79/0.78 inference(monotonicity,[status(thm)],[846])).
% 0.79/0.78 tff(848,plain,
% 0.79/0.78 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a2012) | c3_1(a2012) | (~c1_1(a2012)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c0_1(a1983) | c2_1(a1983) | (~c3_1(a1983)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c2_1(a2012) | c3_1(a2012) | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)) | (~c1_1(a2012)))),
% 0.79/0.78 inference(transitivity,[status(thm)],[847, 845])).
% 0.79/0.78 tff(849,plain,
% 0.79/0.78 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a2012) | c3_1(a2012) | (~c1_1(a2012)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c0_1(a1983) | c2_1(a1983) | (~c3_1(a1983)))),
% 0.79/0.78 inference(quant_inst,[status(thm)],[])).
% 0.79/0.78 tff(850,plain,
% 0.79/0.78 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | c3_1(U) | (~c1_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c2_1(a2012) | c3_1(a2012) | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)) | (~c1_1(a2012))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[849, 848])).
% 0.79/0.78 tff(851,plain,
% 0.79/0.78 (~c1_1(a2012)),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[850, 162, 716, 844, 838, 713, 712, 229, 714])).
% 0.79/0.78 tff(852,plain,
% 0.79/0.78 (^[U: $i] : refl((hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) <=> (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))))),
% 0.79/0.78 inference(bind,[status(th)],[])).
% 0.79/0.78 tff(853,plain,
% 0.79/0.78 (![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) <=> ![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 0.79/0.78 inference(quant_intro,[status(thm)],[852])).
% 0.79/0.78 tff(854,plain,
% 0.79/0.78 (![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) <=> ![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(855,plain,
% 0.79/0.78 (^[U: $i] : trans(monotonicity(trans(monotonicity(rewrite((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | c1_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U))) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))), (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) <=> ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp10) <=> (((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp10))), rewrite((((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp10) <=> (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp10) <=> (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))))),
% 0.79/0.78 inference(bind,[status(th)],[])).
% 0.79/0.78 tff(856,plain,
% 0.79/0.78 (![U: $i] : (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp10) <=> ![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 0.79/0.78 inference(quant_intro,[status(thm)],[855])).
% 0.79/0.78 tff(857,axiom,(![U: $i] : (((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c1_1(U)) | hskp10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause140')).
% 0.79/0.78 tff(858,plain,
% 0.79/0.78 (![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[857, 856])).
% 0.79/0.78 tff(859,plain,
% 0.79/0.78 (![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[858, 854])).
% 0.79/0.78 tff(860,plain,(
% 0.79/0.78 ![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 0.79/0.78 inference(skolemize,[status(sab)],[859])).
% 0.79/0.78 tff(861,plain,
% 0.79/0.78 (![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[860, 853])).
% 0.79/0.78 tff(862,plain,
% 0.79/0.78 (((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp10 | (~ndr1_0) | (~c3_1(a2005)) | c1_1(a2005) | (~c2_1(a2005)))) <=> ((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp10 | (~ndr1_0) | (~c3_1(a2005)) | c1_1(a2005) | (~c2_1(a2005)))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(863,plain,
% 0.79/0.78 ((hskp10 | (~ndr1_0) | c1_1(a2005) | (~c2_1(a2005)) | (~c3_1(a2005))) <=> (hskp10 | (~ndr1_0) | (~c3_1(a2005)) | c1_1(a2005) | (~c2_1(a2005)))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(864,plain,
% 0.79/0.78 (((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp10 | (~ndr1_0) | c1_1(a2005) | (~c2_1(a2005)) | (~c3_1(a2005)))) <=> ((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp10 | (~ndr1_0) | (~c3_1(a2005)) | c1_1(a2005) | (~c2_1(a2005))))),
% 0.79/0.78 inference(monotonicity,[status(thm)],[863])).
% 0.79/0.78 tff(865,plain,
% 0.79/0.78 (((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp10 | (~ndr1_0) | c1_1(a2005) | (~c2_1(a2005)) | (~c3_1(a2005)))) <=> ((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp10 | (~ndr1_0) | (~c3_1(a2005)) | c1_1(a2005) | (~c2_1(a2005)))),
% 0.79/0.78 inference(transitivity,[status(thm)],[864, 862])).
% 0.79/0.78 tff(866,plain,
% 0.79/0.78 ((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp10 | (~ndr1_0) | c1_1(a2005) | (~c2_1(a2005)) | (~c3_1(a2005)))),
% 0.79/0.78 inference(quant_inst,[status(thm)],[])).
% 0.79/0.78 tff(867,plain,
% 0.79/0.78 ((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp10 | (~ndr1_0) | (~c3_1(a2005)) | c1_1(a2005) | (~c2_1(a2005))),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[866, 865])).
% 0.79/0.78 tff(868,plain,
% 0.79/0.78 (hskp10 | c1_1(a2005)),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[867, 162, 664, 611, 861])).
% 0.79/0.78 tff(869,plain,
% 0.79/0.78 (hskp10),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[868, 683])).
% 0.79/0.78 tff(870,plain,
% 0.79/0.78 (~c1_1(a1987)),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[373, 869])).
% 0.79/0.78 tff(871,plain,
% 0.79/0.78 (c2_1(a1987)),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[384, 869])).
% 0.79/0.78 tff(872,plain,
% 0.79/0.78 (c0_1(a1987)),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[391, 162, 43, 21, 871, 870, 297])).
% 0.79/0.78 tff(873,plain,
% 0.79/0.78 (c3_1(a1987)),
% 0.79/0.78 inference(unit_resolution,[status(thm)],[412, 869])).
% 0.79/0.78 tff(874,plain,
% 0.79/0.78 (((~hskp22) | c0_1(a2012)) <=> ((~hskp22) | c0_1(a2012))),
% 0.79/0.78 inference(rewrite,[status(thm)],[])).
% 0.79/0.78 tff(875,axiom,((~hskp22) | c0_1(a2012)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause53')).
% 0.79/0.78 tff(876,plain,
% 0.79/0.78 ((~hskp22) | c0_1(a2012)),
% 0.79/0.78 inference(modus_ponens,[status(thm)],[875, 874])).
% 0.79/0.79 tff(877,plain,
% 0.79/0.79 ((~hskp22) | c0_1(a2012)),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[876, 874])).
% 0.79/0.79 tff(878,plain,
% 0.79/0.79 ((~hskp22) | c0_1(a2012)),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[877, 874])).
% 0.79/0.79 tff(879,plain,
% 0.79/0.79 ((~hskp22) | c0_1(a2012)),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[878, 874])).
% 0.79/0.79 tff(880,plain,
% 0.79/0.79 ((~hskp22) | c0_1(a2012)),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[879, 874])).
% 0.79/0.79 tff(881,plain,
% 0.79/0.79 ((~hskp22) | c0_1(a2012)),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[880, 874])).
% 0.79/0.79 tff(882,plain,
% 0.79/0.79 ((~hskp22) | c0_1(a2012)),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[881, 874])).
% 0.79/0.79 tff(883,plain,
% 0.79/0.79 ((~hskp22) | c0_1(a2012)),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[882, 874])).
% 0.79/0.79 tff(884,plain,
% 0.79/0.79 (c0_1(a2012)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[883, 832])).
% 0.79/0.79 tff(885,plain,
% 0.79/0.79 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | (c2_1(a2012) | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | (~c0_1(a1987)) | c1_1(a2012) | (~c0_1(a2012)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | c2_1(a2012) | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | (~c0_1(a1987)) | c1_1(a2012) | (~c0_1(a2012)))),
% 0.79/0.79 inference(rewrite,[status(thm)],[])).
% 0.79/0.79 tff(886,plain,
% 0.79/0.79 (((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1987) | (~c2_1(a1987)) | (~c0_1(a1987)) | c1_1(a2012) | c2_1(a2012) | (~c0_1(a2012))) <=> (c2_1(a2012) | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | (~c0_1(a1987)) | c1_1(a2012) | (~c0_1(a2012)))),
% 0.79/0.79 inference(rewrite,[status(thm)],[])).
% 0.79/0.79 tff(887,plain,
% 0.79/0.79 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1987) | (~c2_1(a1987)) | (~c0_1(a1987)) | c1_1(a2012) | c2_1(a2012) | (~c0_1(a2012)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | (c2_1(a2012) | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | (~c0_1(a1987)) | c1_1(a2012) | (~c0_1(a2012))))),
% 0.79/0.79 inference(monotonicity,[status(thm)],[886])).
% 0.79/0.79 tff(888,plain,
% 0.79/0.79 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1987) | (~c2_1(a1987)) | (~c0_1(a1987)) | c1_1(a2012) | c2_1(a2012) | (~c0_1(a2012)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | c2_1(a2012) | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | (~c0_1(a1987)) | c1_1(a2012) | (~c0_1(a2012)))),
% 0.79/0.79 inference(transitivity,[status(thm)],[887, 885])).
% 0.79/0.79 tff(889,plain,
% 0.79/0.79 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1987) | (~c2_1(a1987)) | (~c0_1(a1987)) | c1_1(a2012) | c2_1(a2012) | (~c0_1(a2012)))),
% 0.79/0.79 inference(quant_inst,[status(thm)],[])).
% 0.79/0.79 tff(890,plain,
% 0.79/0.79 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | c2_1(a2012) | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | (~c0_1(a1987)) | c1_1(a2012) | (~c0_1(a2012))),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[889, 888])).
% 0.79/0.79 tff(891,plain,
% 0.79/0.79 ($false),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[890, 162, 884, 871, 873, 844, 870, 10, 872, 851])).
% 0.79/0.79 tff(892,plain,(hskp4 | hskp27), inference(lemma,lemma(discharge,[]))).
% 0.79/0.79 tff(893,plain,
% 0.79/0.79 (hskp4),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[892, 43])).
% 0.79/0.79 tff(894,plain,
% 0.79/0.79 (~c2_1(a1975)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[108, 893])).
% 0.79/0.79 tff(895,plain,
% 0.79/0.79 (~c1_1(a1975)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[114, 893])).
% 0.79/0.79 tff(896,plain,
% 0.79/0.79 (c0_1(a1975)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[135, 893])).
% 0.79/0.79 tff(897,assumption,(~c1_1(a2005)), introduced(assumption)).
% 0.79/0.79 tff(898,assumption,(~c2_1(a1975)), introduced(assumption)).
% 0.79/0.79 tff(899,assumption,(~c1_1(a1975)), introduced(assumption)).
% 0.79/0.79 tff(900,assumption,(c3_1(a2005)), introduced(assumption)).
% 0.79/0.79 tff(901,assumption,(c2_1(a2005)), introduced(assumption)).
% 0.79/0.79 tff(902,plain,
% 0.79/0.79 (hskp10 | c1_1(a2005)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[867, 162, 901, 900, 861])).
% 0.79/0.79 tff(903,plain,
% 0.79/0.79 (hskp10),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[902, 897])).
% 0.79/0.79 tff(904,plain,
% 0.79/0.79 (~c1_1(a1987)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[373, 903])).
% 0.79/0.79 tff(905,assumption,(c0_1(a1975)), introduced(assumption)).
% 0.79/0.79 tff(906,plain,
% 0.79/0.79 (c3_1(a1987)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[412, 903])).
% 0.79/0.79 tff(907,plain,
% 0.79/0.79 (c2_1(a1987)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[384, 903])).
% 0.79/0.79 tff(908,assumption,(c0_1(a2005)), introduced(assumption)).
% 0.79/0.79 tff(909,plain,
% 0.79/0.79 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | (c1_1(a1987) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | c1_1(a2005) | (~c0_1(a2005)) | (~c2_1(a2005)) | (~c0_1(a1975)) | (~c2_1(a1987)) | (~c3_1(a1987)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | c1_1(a1987) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | c1_1(a2005) | (~c0_1(a2005)) | (~c2_1(a2005)) | (~c0_1(a1975)) | (~c2_1(a1987)) | (~c3_1(a1987)))),
% 0.79/0.79 inference(rewrite,[status(thm)],[])).
% 0.79/0.79 tff(910,plain,
% 0.79/0.79 (((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a2005) | (~c2_1(a2005)) | (~c0_1(a2005)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975))) <=> (c1_1(a1987) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | c1_1(a2005) | (~c0_1(a2005)) | (~c2_1(a2005)) | (~c0_1(a1975)) | (~c2_1(a1987)) | (~c3_1(a1987)))),
% 0.79/0.79 inference(rewrite,[status(thm)],[])).
% 0.79/0.79 tff(911,plain,
% 0.79/0.79 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a2005) | (~c2_1(a2005)) | (~c0_1(a2005)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | (c1_1(a1987) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | c1_1(a2005) | (~c0_1(a2005)) | (~c2_1(a2005)) | (~c0_1(a1975)) | (~c2_1(a1987)) | (~c3_1(a1987))))),
% 0.79/0.79 inference(monotonicity,[status(thm)],[910])).
% 0.79/0.79 tff(912,plain,
% 0.79/0.79 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a2005) | (~c2_1(a2005)) | (~c0_1(a2005)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | c1_1(a1987) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | c1_1(a2005) | (~c0_1(a2005)) | (~c2_1(a2005)) | (~c0_1(a1975)) | (~c2_1(a1987)) | (~c3_1(a1987)))),
% 0.79/0.79 inference(transitivity,[status(thm)],[911, 909])).
% 0.79/0.79 tff(913,plain,
% 0.79/0.79 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a2005) | (~c2_1(a2005)) | (~c0_1(a2005)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)))),
% 0.79/0.79 inference(quant_inst,[status(thm)],[])).
% 0.79/0.79 tff(914,plain,
% 0.79/0.79 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | c1_1(a1987) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | c1_1(a2005) | (~c0_1(a2005)) | (~c2_1(a2005)) | (~c0_1(a1975)) | (~c2_1(a1987)) | (~c3_1(a1987))),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[913, 912])).
% 0.79/0.79 tff(915,plain,
% 0.79/0.79 ($false),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[914, 162, 908, 901, 907, 906, 905, 904, 899, 898, 10, 897])).
% 0.79/0.79 tff(916,plain,(c1_1(a2005) | (~c0_1(a2005)) | (~c2_1(a2005)) | (~c0_1(a1975)) | c1_1(a1975) | c2_1(a1975) | (~c3_1(a2005))), inference(lemma,lemma(discharge,[]))).
% 0.79/0.79 tff(917,plain,
% 0.79/0.79 (c1_1(a2005)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[916, 675, 664, 896, 895, 894, 611])).
% 0.79/0.79 tff(918,plain,
% 0.79/0.79 (^[V: $i, U: $i] : refl((hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V))) <=> (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V))))),
% 0.79/0.79 inference(bind,[status(th)],[])).
% 0.79/0.79 tff(919,plain,
% 0.79/0.79 (![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 0.79/0.79 inference(quant_intro,[status(thm)],[918])).
% 0.79/0.79 tff(920,plain,
% 0.79/0.79 (![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V))) <=> ![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 0.79/0.79 inference(rewrite,[status(thm)],[])).
% 0.79/0.79 tff(921,plain,
% 0.79/0.79 (^[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))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V))))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c1_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V))) | c1_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c1_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V))))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c1_1(V)) | hskp27) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V))) | hskp27))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V))) | hskp27) <=> (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c1_1(V)) | hskp27) <=> (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))))),
% 0.79/0.79 inference(bind,[status(th)],[])).
% 0.79/0.79 tff(922,plain,
% 0.79/0.79 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c1_1(V)) | hskp27) <=> ![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 0.79/0.79 inference(quant_intro,[status(thm)],[921])).
% 0.79/0.79 tff(923,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c1_1(V)) | hskp27)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause185')).
% 0.79/0.79 tff(924,plain,
% 0.79/0.79 (![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[923, 922])).
% 0.79/0.79 tff(925,plain,
% 0.79/0.79 (![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[924, 920])).
% 0.79/0.79 tff(926,plain,(
% 0.79/0.79 ![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 0.79/0.79 inference(skolemize,[status(sab)],[925])).
% 0.79/0.79 tff(927,plain,
% 0.79/0.79 (![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[926, 919])).
% 0.79/0.79 tff(928,plain,
% 0.79/0.79 (hskp17),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[682, 917])).
% 0.79/0.79 tff(929,plain,
% 0.79/0.79 (~c0_1(a1998)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[621, 928])).
% 0.79/0.79 tff(930,plain,
% 0.79/0.79 (c3_1(a1998)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[632, 928])).
% 0.79/0.79 tff(931,assumption,(c1_1(a2005)), introduced(assumption)).
% 0.79/0.79 tff(932,assumption,(hskp5), introduced(assumption)).
% 0.79/0.79 tff(933,plain,
% 0.79/0.79 (~c3_1(a1977)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[211, 932])).
% 0.79/0.79 tff(934,plain,
% 0.79/0.79 (~c2_1(a1977)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[174, 932])).
% 0.79/0.79 tff(935,plain,
% 0.79/0.79 (((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c3_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)) | c0_1(a1977))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c3_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)) | c0_1(a1977))),
% 0.79/0.79 inference(rewrite,[status(thm)],[])).
% 0.79/0.79 tff(936,plain,
% 0.79/0.79 (((~ndr1_0) | (~c2_1(a2005)) | (~c3_1(a2005)) | (~c1_1(a2005)) | c3_1(a1977) | c0_1(a1977) | c2_1(a1977)) <=> (c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c3_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)) | c0_1(a1977))),
% 0.79/0.79 inference(rewrite,[status(thm)],[])).
% 0.79/0.79 tff(937,plain,
% 0.79/0.79 (((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | ((~ndr1_0) | (~c2_1(a2005)) | (~c3_1(a2005)) | (~c1_1(a2005)) | c3_1(a1977) | c0_1(a1977) | c2_1(a1977))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c3_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)) | c0_1(a1977)))),
% 0.79/0.79 inference(monotonicity,[status(thm)],[936])).
% 0.79/0.79 tff(938,plain,
% 0.79/0.79 (((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | ((~ndr1_0) | (~c2_1(a2005)) | (~c3_1(a2005)) | (~c1_1(a2005)) | c3_1(a1977) | c0_1(a1977) | c2_1(a1977))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c3_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)) | c0_1(a1977))),
% 0.79/0.79 inference(transitivity,[status(thm)],[937, 935])).
% 0.79/0.79 tff(939,plain,
% 0.79/0.79 ((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | ((~ndr1_0) | (~c2_1(a2005)) | (~c3_1(a2005)) | (~c1_1(a2005)) | c3_1(a1977) | c0_1(a1977) | c2_1(a1977))),
% 0.79/0.79 inference(quant_inst,[status(thm)],[])).
% 0.79/0.79 tff(940,plain,
% 0.79/0.79 ((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c3_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)) | c0_1(a1977)),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[939, 938])).
% 0.79/0.79 tff(941,plain,
% 0.79/0.79 (c0_1(a1977)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[940, 162, 901, 900, 934, 933, 20, 931])).
% 0.79/0.79 tff(942,assumption,(~c0_1(a1998)), introduced(assumption)).
% 0.79/0.79 tff(943,plain,
% 0.79/0.79 (c1_1(a1977)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[187, 932])).
% 0.79/0.79 tff(944,assumption,(c3_1(a1998)), introduced(assumption)).
% 0.79/0.79 tff(945,plain,
% 0.79/0.79 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c0_1(a1998) | c2_1(a1977) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c1_1(a1977)) | (~c0_1(a1977)) | c2_1(a1998) | (~c3_1(a1998)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c0_1(a1998) | c2_1(a1977) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c1_1(a1977)) | (~c0_1(a1977)) | c2_1(a1998) | (~c3_1(a1998)))),
% 0.79/0.79 inference(rewrite,[status(thm)],[])).
% 0.79/0.79 tff(946,plain,
% 0.79/0.79 (((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)) | c0_1(a1998) | c2_1(a1998) | (~c3_1(a1998))) <=> (c0_1(a1998) | c2_1(a1977) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c1_1(a1977)) | (~c0_1(a1977)) | c2_1(a1998) | (~c3_1(a1998)))),
% 0.79/0.79 inference(rewrite,[status(thm)],[])).
% 0.79/0.79 tff(947,plain,
% 0.79/0.79 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)) | c0_1(a1998) | c2_1(a1998) | (~c3_1(a1998)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c0_1(a1998) | c2_1(a1977) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c1_1(a1977)) | (~c0_1(a1977)) | c2_1(a1998) | (~c3_1(a1998))))),
% 0.79/0.79 inference(monotonicity,[status(thm)],[946])).
% 0.79/0.79 tff(948,plain,
% 0.79/0.79 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)) | c0_1(a1998) | c2_1(a1998) | (~c3_1(a1998)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c0_1(a1998) | c2_1(a1977) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c1_1(a1977)) | (~c0_1(a1977)) | c2_1(a1998) | (~c3_1(a1998)))),
% 0.79/0.79 inference(transitivity,[status(thm)],[947, 945])).
% 0.79/0.79 tff(949,plain,
% 0.79/0.79 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)) | c0_1(a1998) | c2_1(a1998) | (~c3_1(a1998)))),
% 0.79/0.79 inference(quant_inst,[status(thm)],[])).
% 0.79/0.79 tff(950,plain,
% 0.79/0.79 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c0_1(a1998) | c2_1(a1977) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c1_1(a1977)) | (~c0_1(a1977)) | c2_1(a1998) | (~c3_1(a1998))),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[949, 948])).
% 0.79/0.79 tff(951,plain,
% 0.79/0.79 ((~c0_1(a1977)) | c2_1(a1998)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[950, 162, 944, 943, 905, 942, 934, 899, 898, 102])).
% 0.79/0.79 tff(952,plain,
% 0.79/0.79 (c2_1(a1998)),
% 0.79/0.79 inference(unit_resolution,[status(thm)],[951, 941])).
% 0.79/0.79 tff(953,plain,
% 0.79/0.79 (^[V: $i, U: $i] : refl(((~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) | (~c2_1(V)) | (~c3_1(V))))),
% 0.79/0.79 inference(bind,[status(th)],[])).
% 0.79/0.79 tff(954,plain,
% 0.79/0.79 (![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V))) <=> ![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 0.79/0.79 inference(quant_intro,[status(thm)],[953])).
% 0.79/0.79 tff(955,plain,
% 0.79/0.79 (![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V))) <=> ![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 0.79/0.79 inference(rewrite,[status(thm)],[])).
% 0.79/0.79 tff(956,plain,
% 0.79/0.79 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)))), (((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(V))))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)))), ((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) <=> ((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c2_1(U)) <=> (((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))) | c2_1(U)))), rewrite((((~ndr1_0) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c2_1(U)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c3_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))))),
% 0.79/0.79 inference(bind,[status(th)],[])).
% 0.79/0.79 tff(957,plain,
% 0.79/0.79 (![V: $i, U: $i] : (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c2_1(U)) | c0_1(V)) <=> ![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 0.79/0.79 inference(quant_intro,[status(thm)],[956])).
% 0.79/0.79 tff(958,axiom,(![V: $i, U: $i] : (((((((~c0_1(U)) | (~c1_1(U))) | (~ndr1_0)) | (~c2_1(V))) | (~c3_1(V))) | c2_1(U)) | c0_1(V))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause180')).
% 0.79/0.79 tff(959,plain,
% 0.79/0.79 (![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[958, 957])).
% 0.79/0.79 tff(960,plain,
% 0.79/0.79 (![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[959, 955])).
% 0.79/0.79 tff(961,plain,(
% 0.79/0.79 ![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 0.79/0.79 inference(skolemize,[status(sab)],[960])).
% 0.79/0.79 tff(962,plain,
% 0.79/0.79 (![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))),
% 0.79/0.79 inference(modus_ponens,[status(thm)],[961, 954])).
% 0.79/0.79 tff(963,plain,
% 0.79/0.79 (((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (c0_1(a1998) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1998)) | (~c2_1(a1998)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | c0_1(a1998) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1998)) | (~c2_1(a1998)))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(964,plain,
% 0.79/0.80 (((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c0_1(a1998) | (~c2_1(a1998)) | (~c3_1(a1998))) <=> (c0_1(a1998) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1998)) | (~c2_1(a1998)))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(965,plain,
% 0.79/0.80 (((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c0_1(a1998) | (~c2_1(a1998)) | (~c3_1(a1998)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (c0_1(a1998) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1998)) | (~c2_1(a1998))))),
% 0.79/0.80 inference(monotonicity,[status(thm)],[964])).
% 0.79/0.80 tff(966,plain,
% 0.79/0.80 (((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c0_1(a1998) | (~c2_1(a1998)) | (~c3_1(a1998)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | c0_1(a1998) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1998)) | (~c2_1(a1998)))),
% 0.79/0.80 inference(transitivity,[status(thm)],[965, 963])).
% 0.79/0.80 tff(967,plain,
% 0.79/0.80 ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c0_1(a1998) | (~c2_1(a1998)) | (~c3_1(a1998)))),
% 0.79/0.80 inference(quant_inst,[status(thm)],[])).
% 0.79/0.80 tff(968,plain,
% 0.79/0.80 ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | c0_1(a1998) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c3_1(a1998)) | (~c2_1(a1998))),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[967, 966])).
% 0.79/0.80 tff(969,plain,
% 0.79/0.80 ((~c0_1(a1977)) | (~c2_1(a1998))),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[968, 162, 944, 943, 942, 934, 962])).
% 0.79/0.80 tff(970,plain,
% 0.79/0.80 ($false),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[969, 952, 941])).
% 0.79/0.80 tff(971,plain,((~hskp5) | (~c3_1(a1998)) | c0_1(a1998) | (~c0_1(a1975)) | c1_1(a1975) | c2_1(a1975) | (~c2_1(a2005)) | (~c3_1(a2005)) | (~c1_1(a2005))), inference(lemma,lemma(discharge,[]))).
% 0.79/0.80 tff(972,plain,
% 0.79/0.80 (~hskp5),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[971, 930, 929, 896, 895, 894, 664, 611, 917])).
% 0.79/0.80 tff(973,assumption,(hskp23), introduced(assumption)).
% 0.79/0.80 tff(974,plain,
% 0.79/0.80 (((~hskp23) | (~c2_1(a2014))) <=> ((~hskp23) | (~c2_1(a2014)))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(975,plain,
% 0.79/0.80 (((~c2_1(a2014)) | (~hskp23)) <=> ((~hskp23) | (~c2_1(a2014)))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(976,axiom,((~c2_1(a2014)) | (~hskp23)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause91')).
% 0.79/0.80 tff(977,plain,
% 0.79/0.80 ((~hskp23) | (~c2_1(a2014))),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[976, 975])).
% 0.79/0.80 tff(978,plain,
% 0.79/0.80 ((~hskp23) | (~c2_1(a2014))),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[977, 974])).
% 0.79/0.80 tff(979,plain,
% 0.79/0.80 (~c2_1(a2014)),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[978, 973])).
% 0.79/0.80 tff(980,plain,
% 0.79/0.80 (((~hskp23) | c1_1(a2014)) <=> ((~hskp23) | c1_1(a2014))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(981,axiom,((~hskp23) | c1_1(a2014)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause52')).
% 0.79/0.80 tff(982,plain,
% 0.79/0.80 ((~hskp23) | c1_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[981, 980])).
% 0.79/0.80 tff(983,plain,
% 0.79/0.80 ((~hskp23) | c1_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[982, 980])).
% 0.79/0.80 tff(984,plain,
% 0.79/0.80 ((~hskp23) | c1_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[983, 980])).
% 0.79/0.80 tff(985,plain,
% 0.79/0.80 ((~hskp23) | c1_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[984, 980])).
% 0.79/0.80 tff(986,plain,
% 0.79/0.80 ((~hskp23) | c1_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[985, 980])).
% 0.79/0.80 tff(987,plain,
% 0.79/0.80 ((~hskp23) | c1_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[986, 980])).
% 0.79/0.80 tff(988,plain,
% 0.79/0.80 ((~hskp23) | c1_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[987, 980])).
% 0.79/0.80 tff(989,plain,
% 0.79/0.80 ((~hskp23) | c1_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[988, 980])).
% 0.79/0.80 tff(990,plain,
% 0.79/0.80 (c1_1(a2014)),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[989, 973])).
% 0.79/0.80 tff(991,plain,
% 0.79/0.80 (((~hskp23) | c0_1(a2014)) <=> ((~hskp23) | c0_1(a2014))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(992,axiom,((~hskp23) | c0_1(a2014)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause51')).
% 0.79/0.80 tff(993,plain,
% 0.79/0.80 ((~hskp23) | c0_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[992, 991])).
% 0.79/0.80 tff(994,plain,
% 0.79/0.80 ((~hskp23) | c0_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[993, 991])).
% 0.79/0.80 tff(995,plain,
% 0.79/0.80 ((~hskp23) | c0_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[994, 991])).
% 0.79/0.80 tff(996,plain,
% 0.79/0.80 ((~hskp23) | c0_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[995, 991])).
% 0.79/0.80 tff(997,plain,
% 0.79/0.80 ((~hskp23) | c0_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[996, 991])).
% 0.79/0.80 tff(998,plain,
% 0.79/0.80 ((~hskp23) | c0_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[997, 991])).
% 0.79/0.80 tff(999,plain,
% 0.79/0.80 ((~hskp23) | c0_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[998, 991])).
% 0.79/0.80 tff(1000,plain,
% 0.79/0.80 ((~hskp23) | c0_1(a2014)),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[999, 991])).
% 0.79/0.80 tff(1001,plain,
% 0.79/0.80 (c0_1(a2014)),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[1000, 973])).
% 0.79/0.80 tff(1002,plain,
% 0.79/0.80 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c2_1(a2014) | c0_1(a1998) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | c2_1(a1998) | (~c3_1(a1998)) | (~c1_1(a2014)) | (~c0_1(a2014)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c2_1(a2014) | c0_1(a1998) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | c2_1(a1998) | (~c3_1(a1998)) | (~c1_1(a2014)) | (~c0_1(a2014)))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(1003,plain,
% 0.79/0.80 (((~ndr1_0) | c2_1(a2014) | (~c1_1(a2014)) | (~c0_1(a2014)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)) | c0_1(a1998) | c2_1(a1998) | (~c3_1(a1998))) <=> (c2_1(a2014) | c0_1(a1998) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | c2_1(a1998) | (~c3_1(a1998)) | (~c1_1(a2014)) | (~c0_1(a2014)))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(1004,plain,
% 0.79/0.80 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a2014) | (~c1_1(a2014)) | (~c0_1(a2014)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)) | c0_1(a1998) | c2_1(a1998) | (~c3_1(a1998)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | (c2_1(a2014) | c0_1(a1998) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | c2_1(a1998) | (~c3_1(a1998)) | (~c1_1(a2014)) | (~c0_1(a2014))))),
% 0.79/0.80 inference(monotonicity,[status(thm)],[1003])).
% 0.79/0.80 tff(1005,plain,
% 0.79/0.80 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a2014) | (~c1_1(a2014)) | (~c0_1(a2014)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)) | c0_1(a1998) | c2_1(a1998) | (~c3_1(a1998)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c2_1(a2014) | c0_1(a1998) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | c2_1(a1998) | (~c3_1(a1998)) | (~c1_1(a2014)) | (~c0_1(a2014)))),
% 0.79/0.80 inference(transitivity,[status(thm)],[1004, 1002])).
% 0.79/0.80 tff(1006,plain,
% 0.79/0.80 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | ((~ndr1_0) | c2_1(a2014) | (~c1_1(a2014)) | (~c0_1(a2014)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)) | c0_1(a1998) | c2_1(a1998) | (~c3_1(a1998)))),
% 0.79/0.80 inference(quant_inst,[status(thm)],[])).
% 0.79/0.80 tff(1007,plain,
% 0.79/0.80 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c0_1(V)) | c0_1(W) | c2_1(W) | (~c3_1(W)))) | c2_1(a2014) | c0_1(a1998) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | c2_1(a1998) | (~c3_1(a1998)) | (~c1_1(a2014)) | (~c0_1(a2014))),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[1006, 1005])).
% 0.79/0.80 tff(1008,plain,
% 0.79/0.80 (c2_1(a1998)),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[1007, 162, 1001, 990, 944, 905, 979, 942, 899, 898, 102])).
% 0.79/0.80 tff(1009,plain,
% 0.79/0.80 (((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (c2_1(a2014) | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c2_1(a1998)) | (~c1_1(a2014)) | (~c0_1(a2014)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | c2_1(a2014) | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c2_1(a1998)) | (~c1_1(a2014)) | (~c0_1(a2014)))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(1010,plain,
% 0.79/0.80 (((~ndr1_0) | c2_1(a2014) | (~c1_1(a2014)) | (~c0_1(a2014)) | c0_1(a1998) | (~c2_1(a1998)) | (~c3_1(a1998))) <=> (c2_1(a2014) | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c2_1(a1998)) | (~c1_1(a2014)) | (~c0_1(a2014)))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(1011,plain,
% 0.79/0.80 (((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | ((~ndr1_0) | c2_1(a2014) | (~c1_1(a2014)) | (~c0_1(a2014)) | c0_1(a1998) | (~c2_1(a1998)) | (~c3_1(a1998)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (c2_1(a2014) | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c2_1(a1998)) | (~c1_1(a2014)) | (~c0_1(a2014))))),
% 0.79/0.80 inference(monotonicity,[status(thm)],[1010])).
% 0.79/0.80 tff(1012,plain,
% 0.79/0.80 (((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | ((~ndr1_0) | c2_1(a2014) | (~c1_1(a2014)) | (~c0_1(a2014)) | c0_1(a1998) | (~c2_1(a1998)) | (~c3_1(a1998)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | c2_1(a2014) | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c2_1(a1998)) | (~c1_1(a2014)) | (~c0_1(a2014)))),
% 0.79/0.80 inference(transitivity,[status(thm)],[1011, 1009])).
% 0.79/0.80 tff(1013,plain,
% 0.79/0.80 ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | ((~ndr1_0) | c2_1(a2014) | (~c1_1(a2014)) | (~c0_1(a2014)) | c0_1(a1998) | (~c2_1(a1998)) | (~c3_1(a1998)))),
% 0.79/0.80 inference(quant_inst,[status(thm)],[])).
% 0.79/0.80 tff(1014,plain,
% 0.79/0.80 ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | c2_1(a2014) | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c2_1(a1998)) | (~c1_1(a2014)) | (~c0_1(a2014))),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[1013, 1012])).
% 0.79/0.80 tff(1015,plain,
% 0.79/0.80 ($false),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[1014, 162, 1001, 990, 944, 979, 942, 962, 1008])).
% 0.79/0.80 tff(1016,plain,((~hskp23) | (~c3_1(a1998)) | c0_1(a1998) | (~c0_1(a1975)) | c1_1(a1975) | c2_1(a1975)), inference(lemma,lemma(discharge,[]))).
% 0.79/0.80 tff(1017,plain,
% 0.79/0.80 (~hskp23),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[1016, 930, 929, 896, 895, 894])).
% 0.79/0.80 tff(1018,plain,
% 0.79/0.80 ((hskp23 | hskp8 | hskp5) <=> (hskp23 | hskp8 | hskp5)),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(1019,plain,
% 0.79/0.80 (((hskp23 | hskp5) | hskp8) <=> (hskp23 | hskp8 | hskp5)),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(1020,axiom,((hskp23 | hskp5) | hskp8), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause33')).
% 0.79/0.80 tff(1021,plain,
% 0.79/0.80 (hskp23 | hskp8 | hskp5),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[1020, 1019])).
% 0.79/0.80 tff(1022,plain,
% 0.79/0.80 (hskp23 | hskp8 | hskp5),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[1021, 1018])).
% 0.79/0.80 tff(1023,plain,
% 0.79/0.80 (hskp23 | hskp8 | hskp5),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[1022, 1018])).
% 0.79/0.80 tff(1024,plain,
% 0.79/0.80 (hskp23 | hskp8 | hskp5),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[1023, 1018])).
% 0.79/0.80 tff(1025,plain,
% 0.79/0.80 (hskp23 | hskp8 | hskp5),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[1024, 1018])).
% 0.79/0.80 tff(1026,plain,
% 0.79/0.80 (hskp23 | hskp8 | hskp5),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[1025, 1018])).
% 0.79/0.80 tff(1027,plain,
% 0.79/0.80 (hskp23 | hskp8 | hskp5),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[1026, 1018])).
% 0.79/0.80 tff(1028,plain,
% 0.79/0.80 (hskp23 | hskp8 | hskp5),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[1027, 1018])).
% 0.79/0.80 tff(1029,plain,
% 0.79/0.80 (hskp8),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[1028, 1017, 972])).
% 0.79/0.80 tff(1030,plain,
% 0.79/0.80 (~c0_1(a1983)),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[492, 1029])).
% 0.79/0.80 tff(1031,plain,
% 0.79/0.80 (c3_1(a1983)),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[503, 1029])).
% 0.79/0.80 tff(1032,plain,
% 0.79/0.80 (~c1_1(a1983)),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[509, 1029])).
% 0.79/0.80 tff(1033,assumption,(~hskp10), introduced(assumption)).
% 0.79/0.80 tff(1034,plain,
% 0.79/0.80 (((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp10 | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1983)) | (~c3_1(a1983)))) <=> ((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp10 | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1983)) | (~c3_1(a1983)))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(1035,plain,
% 0.79/0.80 ((hskp10 | (~ndr1_0) | c1_1(a1983) | (~c2_1(a1983)) | (~c3_1(a1983))) <=> (hskp10 | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1983)) | (~c3_1(a1983)))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(1036,plain,
% 0.79/0.80 (((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp10 | (~ndr1_0) | c1_1(a1983) | (~c2_1(a1983)) | (~c3_1(a1983)))) <=> ((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp10 | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1983)) | (~c3_1(a1983))))),
% 0.79/0.80 inference(monotonicity,[status(thm)],[1035])).
% 0.79/0.80 tff(1037,plain,
% 0.79/0.80 (((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp10 | (~ndr1_0) | c1_1(a1983) | (~c2_1(a1983)) | (~c3_1(a1983)))) <=> ((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp10 | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1983)) | (~c3_1(a1983)))),
% 0.79/0.80 inference(transitivity,[status(thm)],[1036, 1034])).
% 0.79/0.80 tff(1038,plain,
% 0.79/0.80 ((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp10 | (~ndr1_0) | c1_1(a1983) | (~c2_1(a1983)) | (~c3_1(a1983)))),
% 0.79/0.80 inference(quant_inst,[status(thm)],[])).
% 0.79/0.80 tff(1039,plain,
% 0.79/0.80 ((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp10 | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1983)) | (~c3_1(a1983))),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[1038, 1037])).
% 0.79/0.80 tff(1040,plain,
% 0.79/0.80 (hskp10 | c1_1(a1983) | (~c2_1(a1983))),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[1039, 162, 559, 861])).
% 0.79/0.80 tff(1041,plain,
% 0.79/0.80 (~c2_1(a1983)),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[1040, 557, 1033])).
% 0.79/0.80 tff(1042,plain,
% 0.79/0.80 (((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | (hskp10 | hskp1 | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)))) <=> ((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | hskp10 | hskp1 | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(1043,plain,
% 0.79/0.80 ((hskp10 | hskp1 | (~ndr1_0) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983))) <=> (hskp10 | hskp1 | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(1044,plain,
% 0.79/0.80 (((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | (hskp10 | hskp1 | (~ndr1_0) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)))) <=> ((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | (hskp10 | hskp1 | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983))))),
% 0.79/0.80 inference(monotonicity,[status(thm)],[1043])).
% 0.79/0.80 tff(1045,plain,
% 0.79/0.80 (((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | (hskp10 | hskp1 | (~ndr1_0) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)))) <=> ((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | hskp10 | hskp1 | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)))),
% 0.79/0.80 inference(transitivity,[status(thm)],[1044, 1042])).
% 0.79/0.80 tff(1046,plain,
% 0.79/0.80 ((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | (hskp10 | hskp1 | (~ndr1_0) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)))),
% 0.79/0.80 inference(quant_inst,[status(thm)],[])).
% 0.79/0.80 tff(1047,plain,
% 0.79/0.80 ((~![U: $i] : (hskp10 | hskp1 | (~ndr1_0) | c1_1(U) | c2_1(U) | (~c3_1(U)))) | hskp10 | hskp1 | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983))),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[1046, 1045])).
% 0.79/0.80 tff(1048,plain,
% 0.79/0.80 (hskp10 | hskp1 | c1_1(a1983) | c2_1(a1983)),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[1047, 162, 559, 360])).
% 0.79/0.80 tff(1049,plain,
% 0.79/0.80 (hskp1),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[1048, 557, 1033, 1041])).
% 0.79/0.80 tff(1050,plain,
% 0.79/0.80 (c2_1(a1971)),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[468, 1049])).
% 0.79/0.80 tff(1051,plain,
% 0.79/0.80 (c0_1(a1971)),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[479, 1049])).
% 0.79/0.80 tff(1052,assumption,(~hskp5), introduced(assumption)).
% 0.79/0.80 tff(1053,plain,
% 0.79/0.80 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | (~c3_1(a1983)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | (~c3_1(a1983)))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(1054,plain,
% 0.79/0.80 ((hskp5 | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | c1_1(a1983) | c0_1(a1983) | (~c3_1(a1983))) <=> (hskp5 | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | (~c3_1(a1983)))),
% 0.79/0.80 inference(rewrite,[status(thm)],[])).
% 0.79/0.80 tff(1055,plain,
% 0.79/0.80 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | c1_1(a1983) | c0_1(a1983) | (~c3_1(a1983)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | (~c3_1(a1983))))),
% 0.79/0.80 inference(monotonicity,[status(thm)],[1054])).
% 0.79/0.80 tff(1056,plain,
% 0.79/0.80 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | c1_1(a1983) | c0_1(a1983) | (~c3_1(a1983)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | (~c3_1(a1983)))),
% 0.79/0.80 inference(transitivity,[status(thm)],[1055, 1053])).
% 0.79/0.80 tff(1057,plain,
% 0.79/0.80 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | c1_1(a1983) | c0_1(a1983) | (~c3_1(a1983)))),
% 0.79/0.80 inference(quant_inst,[status(thm)],[])).
% 0.79/0.80 tff(1058,plain,
% 0.79/0.80 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c2_1(a1971)) | c3_1(a1971) | (~c0_1(a1971)) | (~c3_1(a1983))),
% 0.79/0.80 inference(modus_ponens,[status(thm)],[1057, 1056])).
% 0.79/0.80 tff(1059,plain,
% 0.79/0.80 (c3_1(a1971)),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[1058, 162, 1052, 559, 1051, 1050, 558, 557, 543])).
% 0.79/0.80 tff(1060,plain,
% 0.79/0.80 (~c1_1(a1971)),
% 0.79/0.80 inference(unit_resolution,[status(thm)],[457, 1049])).
% 0.79/0.80 tff(1061,plain,
% 0.79/0.80 (((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp10 | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c3_1(a1971)))) <=> ((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp10 | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c3_1(a1971)))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1062,plain,
% 0.79/0.81 ((hskp10 | (~ndr1_0) | c1_1(a1971) | (~c2_1(a1971)) | (~c3_1(a1971))) <=> (hskp10 | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c3_1(a1971)))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1063,plain,
% 0.79/0.81 (((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp10 | (~ndr1_0) | c1_1(a1971) | (~c2_1(a1971)) | (~c3_1(a1971)))) <=> ((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp10 | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c3_1(a1971))))),
% 0.79/0.81 inference(monotonicity,[status(thm)],[1062])).
% 0.79/0.81 tff(1064,plain,
% 0.79/0.81 (((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp10 | (~ndr1_0) | c1_1(a1971) | (~c2_1(a1971)) | (~c3_1(a1971)))) <=> ((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp10 | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c3_1(a1971)))),
% 0.79/0.81 inference(transitivity,[status(thm)],[1063, 1061])).
% 0.79/0.81 tff(1065,plain,
% 0.79/0.81 ((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp10 | (~ndr1_0) | c1_1(a1971) | (~c2_1(a1971)) | (~c3_1(a1971)))),
% 0.79/0.81 inference(quant_inst,[status(thm)],[])).
% 0.79/0.81 tff(1066,plain,
% 0.79/0.81 ((~![U: $i] : (hskp10 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp10 | c1_1(a1971) | (~ndr1_0) | (~c2_1(a1971)) | (~c3_1(a1971))),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1065, 1064])).
% 0.79/0.81 tff(1067,plain,
% 0.79/0.81 ($false),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1066, 162, 1033, 1050, 1060, 861, 1059])).
% 0.79/0.81 tff(1068,plain,(c1_1(a1983) | hskp10 | hskp5 | (~c3_1(a1983)) | c0_1(a1983)), inference(lemma,lemma(discharge,[]))).
% 0.79/0.81 tff(1069,plain,
% 0.79/0.81 (hskp10),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1068, 1032, 972, 1031, 1030])).
% 0.79/0.81 tff(1070,plain,
% 0.79/0.81 (~c1_1(a1987)),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[373, 1069])).
% 0.79/0.81 tff(1071,plain,
% 0.79/0.81 (c3_1(a1987)),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[412, 1069])).
% 0.79/0.81 tff(1072,plain,
% 0.79/0.81 (c2_1(a1987)),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[384, 1069])).
% 0.79/0.81 tff(1073,plain,
% 0.79/0.81 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp27 | c1_1(a1987) | (~ndr1_0) | (~c3_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)) | (~c2_1(a1987)) | (~c3_1(a1987)))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp27 | c1_1(a1987) | (~ndr1_0) | (~c3_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)) | (~c2_1(a1987)) | (~c3_1(a1987)))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1074,plain,
% 0.79/0.81 ((hskp27 | (~ndr1_0) | (~c2_1(a2005)) | (~c3_1(a2005)) | (~c1_1(a2005)) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987))) <=> (hskp27 | c1_1(a1987) | (~ndr1_0) | (~c3_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)) | (~c2_1(a1987)) | (~c3_1(a1987)))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1075,plain,
% 0.79/0.81 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp27 | (~ndr1_0) | (~c2_1(a2005)) | (~c3_1(a2005)) | (~c1_1(a2005)) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp27 | c1_1(a1987) | (~ndr1_0) | (~c3_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)) | (~c2_1(a1987)) | (~c3_1(a1987))))),
% 0.79/0.81 inference(monotonicity,[status(thm)],[1074])).
% 0.79/0.81 tff(1076,plain,
% 0.79/0.81 (((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp27 | (~ndr1_0) | (~c2_1(a2005)) | (~c3_1(a2005)) | (~c1_1(a2005)) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)))) <=> ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp27 | c1_1(a1987) | (~ndr1_0) | (~c3_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)) | (~c2_1(a1987)) | (~c3_1(a1987)))),
% 0.79/0.81 inference(transitivity,[status(thm)],[1075, 1073])).
% 0.79/0.81 tff(1077,plain,
% 0.79/0.81 ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (hskp27 | (~ndr1_0) | (~c2_1(a2005)) | (~c3_1(a2005)) | (~c1_1(a2005)) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)))),
% 0.79/0.81 inference(quant_inst,[status(thm)],[])).
% 0.79/0.81 tff(1078,plain,
% 0.79/0.81 ((~![V: $i, U: $i] : (hskp27 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | (~c2_1(V)) | (~c3_1(V)))) | hskp27 | c1_1(a1987) | (~ndr1_0) | (~c3_1(a2005)) | (~c1_1(a2005)) | (~c2_1(a2005)) | (~c2_1(a1987)) | (~c3_1(a1987))),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1077, 1076])).
% 0.79/0.81 tff(1079,plain,
% 0.79/0.81 ($false),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1078, 162, 43, 664, 611, 1072, 1071, 1070, 927, 917])).
% 0.79/0.81 tff(1080,plain,(hskp27), inference(lemma,lemma(discharge,[]))).
% 0.79/0.81 tff(1081,plain,
% 0.79/0.81 (((~hskp27) | c2_1(a1970)) <=> ((~hskp27) | c2_1(a1970))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1082,axiom,((~hskp27) | c2_1(a1970)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause47')).
% 0.79/0.81 tff(1083,plain,
% 0.79/0.81 ((~hskp27) | c2_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1082, 1081])).
% 0.79/0.81 tff(1084,plain,
% 0.79/0.81 ((~hskp27) | c2_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1083, 1081])).
% 0.79/0.81 tff(1085,plain,
% 0.79/0.81 ((~hskp27) | c2_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1084, 1081])).
% 0.79/0.81 tff(1086,plain,
% 0.79/0.81 ((~hskp27) | c2_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1085, 1081])).
% 0.79/0.81 tff(1087,plain,
% 0.79/0.81 ((~hskp27) | c2_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1086, 1081])).
% 0.79/0.81 tff(1088,plain,
% 0.79/0.81 ((~hskp27) | c2_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1087, 1081])).
% 0.79/0.81 tff(1089,plain,
% 0.79/0.81 ((~hskp27) | c2_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1088, 1081])).
% 0.79/0.81 tff(1090,plain,
% 0.79/0.81 ((~hskp27) | c2_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1089, 1081])).
% 0.79/0.81 tff(1091,plain,
% 0.79/0.81 (c2_1(a1970)),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1090, 1080])).
% 0.79/0.81 tff(1092,plain,
% 0.79/0.81 (((~hskp27) | c1_1(a1970)) <=> ((~hskp27) | c1_1(a1970))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1093,axiom,((~hskp27) | c1_1(a1970)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause46')).
% 0.79/0.81 tff(1094,plain,
% 0.79/0.81 ((~hskp27) | c1_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1093, 1092])).
% 0.79/0.81 tff(1095,plain,
% 0.79/0.81 ((~hskp27) | c1_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1094, 1092])).
% 0.79/0.81 tff(1096,plain,
% 0.79/0.81 ((~hskp27) | c1_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1095, 1092])).
% 0.79/0.81 tff(1097,plain,
% 0.79/0.81 ((~hskp27) | c1_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1096, 1092])).
% 0.79/0.81 tff(1098,plain,
% 0.79/0.81 ((~hskp27) | c1_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1097, 1092])).
% 0.79/0.81 tff(1099,plain,
% 0.79/0.81 ((~hskp27) | c1_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1098, 1092])).
% 0.79/0.81 tff(1100,plain,
% 0.79/0.81 ((~hskp27) | c1_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1099, 1092])).
% 0.79/0.81 tff(1101,plain,
% 0.79/0.81 ((~hskp27) | c1_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1100, 1092])).
% 0.79/0.81 tff(1102,plain,
% 0.79/0.81 (c1_1(a1970)),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1101, 1080])).
% 0.79/0.81 tff(1103,plain,
% 0.79/0.81 (((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | (~ndr1_0) | (~c2_1(a1970)) | (~c0_1(a1970)) | (~c1_1(a1970)))) <=> ((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp17 | (~ndr1_0) | (~c2_1(a1970)) | (~c0_1(a1970)) | (~c1_1(a1970)))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1104,plain,
% 0.79/0.81 ((hskp17 | (~ndr1_0) | (~c2_1(a1970)) | (~c1_1(a1970)) | (~c0_1(a1970))) <=> (hskp17 | (~ndr1_0) | (~c2_1(a1970)) | (~c0_1(a1970)) | (~c1_1(a1970)))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1105,plain,
% 0.79/0.81 (((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | (~ndr1_0) | (~c2_1(a1970)) | (~c1_1(a1970)) | (~c0_1(a1970)))) <=> ((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | (~ndr1_0) | (~c2_1(a1970)) | (~c0_1(a1970)) | (~c1_1(a1970))))),
% 0.79/0.81 inference(monotonicity,[status(thm)],[1104])).
% 0.79/0.81 tff(1106,plain,
% 0.79/0.81 (((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | (~ndr1_0) | (~c2_1(a1970)) | (~c1_1(a1970)) | (~c0_1(a1970)))) <=> ((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp17 | (~ndr1_0) | (~c2_1(a1970)) | (~c0_1(a1970)) | (~c1_1(a1970)))),
% 0.79/0.81 inference(transitivity,[status(thm)],[1105, 1103])).
% 0.79/0.81 tff(1107,plain,
% 0.79/0.81 ((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | (hskp17 | (~ndr1_0) | (~c2_1(a1970)) | (~c1_1(a1970)) | (~c0_1(a1970)))),
% 0.79/0.81 inference(quant_inst,[status(thm)],[])).
% 0.79/0.81 tff(1108,plain,
% 0.79/0.81 ((~![U: $i] : (hskp17 | (~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c0_1(U)))) | hskp17 | (~ndr1_0) | (~c2_1(a1970)) | (~c0_1(a1970)) | (~c1_1(a1970))),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1107, 1106])).
% 0.79/0.81 tff(1109,plain,
% 0.79/0.81 (hskp17 | (~c0_1(a1970))),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1108, 162, 1102, 1091, 42])).
% 0.79/0.81 tff(1110,plain,
% 0.79/0.81 (~c0_1(a1970)),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1109, 32])).
% 0.79/0.81 tff(1111,plain,
% 0.79/0.81 (^[U: $i] : refl((hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) <=> (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))))),
% 0.79/0.81 inference(bind,[status(th)],[])).
% 0.79/0.81 tff(1112,plain,
% 0.79/0.81 (![U: $i] : (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 0.79/0.81 inference(quant_intro,[status(thm)],[1111])).
% 0.79/0.81 tff(1113,plain,
% 0.79/0.81 (![U: $i] : (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1114,plain,
% 0.79/0.81 (^[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)) | c0_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp13) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp13))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp13) <=> (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp13) <=> (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp13) | hskp17) <=> ((hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp17))), rewrite(((hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U))) | hskp17) <=> (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp13) | hskp17) <=> (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))))),
% 0.79/0.81 inference(bind,[status(th)],[])).
% 0.79/0.81 tff(1115,plain,
% 0.79/0.81 (![U: $i] : ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp13) | hskp17) <=> ![U: $i] : (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 0.79/0.81 inference(quant_intro,[status(thm)],[1114])).
% 0.79/0.81 tff(1116,axiom,(![U: $i] : ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp13) | hskp17)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause142')).
% 0.79/0.81 tff(1117,plain,
% 0.79/0.81 (![U: $i] : (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1116, 1115])).
% 0.79/0.81 tff(1118,plain,
% 0.79/0.81 (![U: $i] : (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1117, 1113])).
% 0.79/0.81 tff(1119,plain,(
% 0.79/0.81 ![U: $i] : (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 0.79/0.81 inference(skolemize,[status(sab)],[1118])).
% 0.79/0.81 tff(1120,plain,
% 0.79/0.81 (![U: $i] : (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1119, 1112])).
% 0.79/0.81 tff(1121,plain,
% 0.79/0.81 (((~hskp27) | c3_1(a1970)) <=> ((~hskp27) | c3_1(a1970))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1122,axiom,((~hskp27) | c3_1(a1970)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause48')).
% 0.79/0.81 tff(1123,plain,
% 0.79/0.81 ((~hskp27) | c3_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1122, 1121])).
% 0.79/0.81 tff(1124,plain,
% 0.79/0.81 ((~hskp27) | c3_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1123, 1121])).
% 0.79/0.81 tff(1125,plain,
% 0.79/0.81 ((~hskp27) | c3_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1124, 1121])).
% 0.79/0.81 tff(1126,plain,
% 0.79/0.81 ((~hskp27) | c3_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1125, 1121])).
% 0.79/0.81 tff(1127,plain,
% 0.79/0.81 ((~hskp27) | c3_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1126, 1121])).
% 0.79/0.81 tff(1128,plain,
% 0.79/0.81 ((~hskp27) | c3_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1127, 1121])).
% 0.79/0.81 tff(1129,plain,
% 0.79/0.81 ((~hskp27) | c3_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1128, 1121])).
% 0.79/0.81 tff(1130,plain,
% 0.79/0.81 ((~hskp27) | c3_1(a1970)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1129, 1121])).
% 0.79/0.81 tff(1131,plain,
% 0.79/0.81 (c3_1(a1970)),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1130, 1080])).
% 0.79/0.81 tff(1132,plain,
% 0.79/0.81 (((~![U: $i] : (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp17 | hskp13 | (~ndr1_0) | c0_1(a1970) | (~c3_1(a1970)) | (~c1_1(a1970)))) <=> ((~![U: $i] : (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp17 | hskp13 | (~ndr1_0) | c0_1(a1970) | (~c3_1(a1970)) | (~c1_1(a1970)))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1133,plain,
% 0.79/0.81 ((~![U: $i] : (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | (hskp17 | hskp13 | (~ndr1_0) | c0_1(a1970) | (~c3_1(a1970)) | (~c1_1(a1970)))),
% 0.79/0.81 inference(quant_inst,[status(thm)],[])).
% 0.79/0.81 tff(1134,plain,
% 0.79/0.81 ((~![U: $i] : (hskp17 | hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)))) | hskp17 | hskp13 | (~ndr1_0) | c0_1(a1970) | (~c3_1(a1970)) | (~c1_1(a1970))),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1133, 1132])).
% 0.79/0.81 tff(1135,plain,
% 0.79/0.81 (hskp17 | hskp13 | c0_1(a1970)),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1134, 162, 1102, 1131, 1120])).
% 0.79/0.81 tff(1136,plain,
% 0.79/0.81 (hskp13),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1135, 32, 1110])).
% 0.79/0.81 tff(1137,plain,
% 0.79/0.81 (((~hskp13) | (~c3_1(a1991))) <=> ((~hskp13) | (~c3_1(a1991)))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1138,plain,
% 0.79/0.81 (((~c3_1(a1991)) | (~hskp13)) <=> ((~hskp13) | (~c3_1(a1991)))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1139,axiom,((~c3_1(a1991)) | (~hskp13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause107')).
% 0.79/0.81 tff(1140,plain,
% 0.79/0.81 ((~hskp13) | (~c3_1(a1991))),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1139, 1138])).
% 0.79/0.81 tff(1141,plain,
% 0.79/0.81 ((~hskp13) | (~c3_1(a1991))),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1140, 1137])).
% 0.79/0.81 tff(1142,plain,
% 0.79/0.81 (~c3_1(a1991)),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1141, 1136])).
% 0.79/0.81 tff(1143,plain,
% 0.79/0.81 (((~hskp13) | c2_1(a1991)) <=> ((~hskp13) | c2_1(a1991))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1144,axiom,((~hskp13) | c2_1(a1991)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause66')).
% 0.79/0.81 tff(1145,plain,
% 0.79/0.81 ((~hskp13) | c2_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1144, 1143])).
% 0.79/0.81 tff(1146,plain,
% 0.79/0.81 ((~hskp13) | c2_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1145, 1143])).
% 0.79/0.81 tff(1147,plain,
% 0.79/0.81 ((~hskp13) | c2_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1146, 1143])).
% 0.79/0.81 tff(1148,plain,
% 0.79/0.81 ((~hskp13) | c2_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1147, 1143])).
% 0.79/0.81 tff(1149,plain,
% 0.79/0.81 ((~hskp13) | c2_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1148, 1143])).
% 0.79/0.81 tff(1150,plain,
% 0.79/0.81 ((~hskp13) | c2_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1149, 1143])).
% 0.79/0.81 tff(1151,plain,
% 0.79/0.81 ((~hskp13) | c2_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1150, 1143])).
% 0.79/0.81 tff(1152,plain,
% 0.79/0.81 ((~hskp13) | c2_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1151, 1143])).
% 0.79/0.81 tff(1153,plain,
% 0.79/0.81 (c2_1(a1991)),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1152, 1136])).
% 0.79/0.81 tff(1154,plain,
% 0.79/0.81 (((~hskp13) | c0_1(a1991)) <=> ((~hskp13) | c0_1(a1991))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1155,axiom,((~hskp13) | c0_1(a1991)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause65')).
% 0.79/0.81 tff(1156,plain,
% 0.79/0.81 ((~hskp13) | c0_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1155, 1154])).
% 0.79/0.81 tff(1157,plain,
% 0.79/0.81 ((~hskp13) | c0_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1156, 1154])).
% 0.79/0.81 tff(1158,plain,
% 0.79/0.81 ((~hskp13) | c0_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1157, 1154])).
% 0.79/0.81 tff(1159,plain,
% 0.79/0.81 ((~hskp13) | c0_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1158, 1154])).
% 0.79/0.81 tff(1160,plain,
% 0.79/0.81 ((~hskp13) | c0_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1159, 1154])).
% 0.79/0.81 tff(1161,plain,
% 0.79/0.81 ((~hskp13) | c0_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1160, 1154])).
% 0.79/0.81 tff(1162,plain,
% 0.79/0.81 ((~hskp13) | c0_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1161, 1154])).
% 0.79/0.81 tff(1163,plain,
% 0.79/0.81 ((~hskp13) | c0_1(a1991)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1162, 1154])).
% 0.79/0.81 tff(1164,plain,
% 0.79/0.81 (c0_1(a1991)),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1163, 1136])).
% 0.79/0.81 tff(1165,plain,
% 0.79/0.81 (((~![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp17 | hskp4 | c3_1(a1991) | (~ndr1_0) | (~c0_1(a1991)) | (~c2_1(a1991)))) <=> ((~![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))) | hskp17 | hskp4 | c3_1(a1991) | (~ndr1_0) | (~c0_1(a1991)) | (~c2_1(a1991)))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1166,plain,
% 0.79/0.81 ((hskp17 | hskp4 | (~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c0_1(a1991))) <=> (hskp17 | hskp4 | c3_1(a1991) | (~ndr1_0) | (~c0_1(a1991)) | (~c2_1(a1991)))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1167,plain,
% 0.79/0.81 (((~![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c0_1(a1991)))) <=> ((~![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp17 | hskp4 | c3_1(a1991) | (~ndr1_0) | (~c0_1(a1991)) | (~c2_1(a1991))))),
% 0.79/0.81 inference(monotonicity,[status(thm)],[1166])).
% 0.79/0.81 tff(1168,plain,
% 0.79/0.81 (((~![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c0_1(a1991)))) <=> ((~![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))) | hskp17 | hskp4 | c3_1(a1991) | (~ndr1_0) | (~c0_1(a1991)) | (~c2_1(a1991)))),
% 0.79/0.81 inference(transitivity,[status(thm)],[1167, 1165])).
% 0.79/0.81 tff(1169,plain,
% 0.79/0.81 ((~![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))) | (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c0_1(a1991)))),
% 0.79/0.81 inference(quant_inst,[status(thm)],[])).
% 0.79/0.81 tff(1170,plain,
% 0.79/0.81 ((~![U: $i] : (hskp17 | hskp4 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)))) | hskp17 | hskp4 | c3_1(a1991) | (~ndr1_0) | (~c0_1(a1991)) | (~c2_1(a1991))),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1169, 1168])).
% 0.79/0.81 tff(1171,plain,
% 0.79/0.81 ($false),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1170, 162, 32, 21, 1164, 1153, 1142, 31])).
% 0.79/0.81 tff(1172,plain,(hskp17 | hskp4), inference(lemma,lemma(discharge,[]))).
% 0.79/0.81 tff(1173,plain,
% 0.79/0.81 (hskp17),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1172, 21])).
% 0.79/0.81 tff(1174,plain,
% 0.79/0.81 (hskp18),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[652, 21, 1173])).
% 0.79/0.81 tff(1175,plain,
% 0.79/0.81 (~c3_1(a2000)),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[256, 1174])).
% 0.79/0.81 tff(1176,plain,
% 0.79/0.81 (~c0_1(a2000)),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[244, 1174])).
% 0.79/0.81 tff(1177,plain,
% 0.79/0.81 (((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (c0_1(a2000) | c3_1(a2000) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c2_1(a2000))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | c0_1(a2000) | c3_1(a2000) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c2_1(a2000))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1178,plain,
% 0.79/0.81 (((~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c3_1(a2000) | c0_1(a2000) | c2_1(a2000)) <=> (c0_1(a2000) | c3_1(a2000) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c2_1(a2000))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1179,plain,
% 0.79/0.81 (((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | ((~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c3_1(a2000) | c0_1(a2000) | c2_1(a2000))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (c0_1(a2000) | c3_1(a2000) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c2_1(a2000)))),
% 0.79/0.81 inference(monotonicity,[status(thm)],[1178])).
% 0.79/0.81 tff(1180,plain,
% 0.79/0.81 (((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | ((~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c3_1(a2000) | c0_1(a2000) | c2_1(a2000))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | c0_1(a2000) | c3_1(a2000) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c2_1(a2000))),
% 0.79/0.81 inference(transitivity,[status(thm)],[1179, 1177])).
% 0.79/0.81 tff(1181,plain,
% 0.79/0.81 ((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | ((~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c3_1(a2000) | c0_1(a2000) | c2_1(a2000))),
% 0.79/0.81 inference(quant_inst,[status(thm)],[])).
% 0.79/0.81 tff(1182,plain,
% 0.79/0.81 ((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | c0_1(a2000) | c3_1(a2000) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c2_1(a2000)),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1181, 1180])).
% 0.79/0.81 tff(1183,plain,
% 0.79/0.81 (c2_1(a2000)),
% 0.79/0.81 inference(unit_resolution,[status(thm)],[1182, 162, 1102, 1091, 1131, 1176, 1175, 20])).
% 0.79/0.81 tff(1184,plain,
% 0.79/0.81 (^[W: $i, V: $i, U: $i] : refl(((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)))),
% 0.79/0.81 inference(bind,[status(th)],[])).
% 0.79/0.81 tff(1185,plain,
% 0.79/0.81 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 0.79/0.81 inference(quant_intro,[status(thm)],[1184])).
% 0.79/0.81 tff(1186,plain,
% 0.79/0.81 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W)) <=> ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 0.79/0.81 inference(rewrite,[status(thm)],[])).
% 0.79/0.81 tff(1187,plain,
% 0.79/0.81 (^[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)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c2_1(V)))), (((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c2_1(V))))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c2_1(V))) | c3_1(U)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c1_1(U)) | (~c2_1(V))) | c3_1(U)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | (~c2_1(V)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | (~c2_1(V))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c0_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c0_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c0_1(V) | (~c2_1(V))))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c0_1(V)) | c3_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c0_1(V) | (~c2_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c0_1(V) | (~c2_1(V))) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))), ((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) | c0_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c0_1(W))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c0_1(W)))), ((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c0_1(W)) | c1_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c1_1(W) | c0_1(W))), ((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c1_1(W) | c0_1(W)))), (((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W)) <=> (((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c1_1(W) | c0_1(W)) | c3_1(W)))), rewrite((((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c1_1(W) | c0_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))), (((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W)) <=> ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))))),
% 0.79/0.81 inference(bind,[status(th)],[])).
% 0.79/0.81 tff(1188,plain,
% 0.79/0.81 (![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c1_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) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 0.79/0.81 inference(quant_intro,[status(thm)],[1187])).
% 0.79/0.81 tff(1189,axiom,(![W: $i, V: $i, U: $i] : ((((((((((~c1_1(U)) | (~c2_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c3_1(U)) | c0_1(V)) | c3_1(V)) | c0_1(W)) | c1_1(W)) | c3_1(W))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause188')).
% 0.79/0.81 tff(1190,plain,
% 0.79/0.81 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1189, 1188])).
% 0.79/0.81 tff(1191,plain,
% 0.79/0.81 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 0.79/0.81 inference(modus_ponens,[status(thm)],[1190, 1186])).
% 0.79/0.82 tff(1192,plain,(
% 0.79/0.82 ![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 0.79/0.82 inference(skolemize,[status(sab)],[1191])).
% 0.79/0.82 tff(1193,plain,
% 0.79/0.82 (![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1192, 1185])).
% 0.79/0.82 tff(1194,plain,
% 0.79/0.82 (^[V: $i, U: $i] : refl((hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) <=> (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))))),
% 0.79/0.82 inference(bind,[status(th)],[])).
% 0.79/0.82 tff(1195,plain,
% 0.79/0.82 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.79/0.82 inference(quant_intro,[status(thm)],[1194])).
% 0.79/0.82 tff(1196,plain,
% 0.79/0.82 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) <=> ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.79/0.82 inference(rewrite,[status(thm)],[])).
% 0.79/0.82 tff(1197,plain,
% 0.79/0.82 (^[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)) | (~c2_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)))), (((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V))))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V))) | c0_1(U)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V)))), ((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V))))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | (~c2_1(V))) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V)))), (((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V))))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | c3_1(V)) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c0_1(V) | (~c2_1(V))) | c3_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))), ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | c3_1(V)) | hskp13) <=> (((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) | hskp13))), rewrite((((~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V))) | hskp13) <=> (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))), (((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | c3_1(V)) | hskp13) <=> (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))))),
% 0.79/0.82 inference(bind,[status(th)],[])).
% 0.79/0.82 tff(1198,plain,
% 0.79/0.82 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | c3_1(V)) | hskp13) <=> ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.79/0.82 inference(quant_intro,[status(thm)],[1197])).
% 0.79/0.82 tff(1199,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c3_1(U))) | (~ndr1_0)) | (~c2_1(V))) | c0_1(U)) | c0_1(V)) | c3_1(V)) | hskp13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause178')).
% 0.79/0.82 tff(1200,plain,
% 0.79/0.82 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1199, 1198])).
% 0.79/0.82 tff(1201,plain,
% 0.79/0.82 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1200, 1196])).
% 0.79/0.82 tff(1202,plain,(
% 0.79/0.82 ![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.79/0.82 inference(skolemize,[status(sab)],[1201])).
% 0.79/0.82 tff(1203,plain,
% 0.79/0.82 (![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1202, 1195])).
% 0.79/0.82 tff(1204,plain,
% 0.79/0.82 (^[U: $i] : refl((hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))) <=> (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))))),
% 0.79/0.82 inference(bind,[status(th)],[])).
% 0.79/0.82 tff(1205,plain,
% 0.79/0.82 (![U: $i] : (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))),
% 0.79/0.82 inference(quant_intro,[status(thm)],[1204])).
% 0.79/0.82 tff(1206,plain,
% 0.79/0.82 (![U: $i] : (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))) <=> ![U: $i] : (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))),
% 0.79/0.82 inference(rewrite,[status(thm)],[])).
% 0.79/0.82 tff(1207,plain,
% 0.79/0.82 (^[U: $i] : 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)) | hskp4) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))) | hskp4))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))) | hskp4) <=> (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))), ((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp4) <=> (hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))))), (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp4) | hskp11) <=> ((hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))) | hskp11))), rewrite(((hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U))) | hskp11) <=> (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))), (((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp4) | hskp11) <=> (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))))),
% 0.79/0.82 inference(bind,[status(th)],[])).
% 0.79/0.82 tff(1208,plain,
% 0.79/0.82 (![U: $i] : ((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp4) | hskp11) <=> ![U: $i] : (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))),
% 0.79/0.82 inference(quant_intro,[status(thm)],[1207])).
% 0.79/0.82 tff(1209,axiom,(![U: $i] : ((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | hskp4) | hskp11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause159')).
% 0.79/0.82 tff(1210,plain,
% 0.79/0.82 (![U: $i] : (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1209, 1208])).
% 0.79/0.82 tff(1211,plain,
% 0.79/0.82 (![U: $i] : (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1210, 1206])).
% 0.79/0.82 tff(1212,plain,(
% 0.79/0.82 ![U: $i] : (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))),
% 0.79/0.82 inference(skolemize,[status(sab)],[1211])).
% 0.79/0.82 tff(1213,plain,
% 0.79/0.82 (![U: $i] : (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1212, 1205])).
% 0.79/0.82 tff(1214,plain,
% 0.79/0.82 (((~![U: $i] : (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))) | (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)))) <=> ((~![U: $i] : (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))) | hskp11 | hskp4 | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)))),
% 0.79/0.82 inference(rewrite,[status(thm)],[])).
% 0.79/0.82 tff(1215,plain,
% 0.79/0.82 ((~![U: $i] : (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))) | (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)))),
% 0.79/0.82 inference(quant_inst,[status(thm)],[])).
% 0.79/0.82 tff(1216,plain,
% 0.79/0.82 ((~![U: $i] : (hskp11 | hskp4 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)))) | hskp11 | hskp4 | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970))),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1215, 1214])).
% 0.79/0.82 tff(1217,plain,
% 0.79/0.82 (hskp11 | hskp4),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[1216, 162, 1102, 1091, 1131, 1213])).
% 0.79/0.82 tff(1218,plain,
% 0.79/0.82 (hskp11),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[1217, 21])).
% 0.79/0.82 tff(1219,plain,
% 0.79/0.82 (((~hskp11) | (~c3_1(a1989))) <=> ((~hskp11) | (~c3_1(a1989)))),
% 0.79/0.82 inference(rewrite,[status(thm)],[])).
% 0.79/0.82 tff(1220,plain,
% 0.79/0.82 (((~c3_1(a1989)) | (~hskp11)) <=> ((~hskp11) | (~c3_1(a1989)))),
% 0.79/0.82 inference(rewrite,[status(thm)],[])).
% 0.79/0.82 tff(1221,axiom,((~c3_1(a1989)) | (~hskp11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause111')).
% 0.79/0.82 tff(1222,plain,
% 0.79/0.82 ((~hskp11) | (~c3_1(a1989))),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1221, 1220])).
% 0.79/0.82 tff(1223,plain,
% 0.79/0.82 ((~hskp11) | (~c3_1(a1989))),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1222, 1219])).
% 0.79/0.82 tff(1224,plain,
% 0.79/0.82 (~c3_1(a1989)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[1223, 1218])).
% 0.79/0.82 tff(1225,plain,
% 0.79/0.82 (((~hskp11) | (~c0_1(a1989))) <=> ((~hskp11) | (~c0_1(a1989)))),
% 0.79/0.82 inference(rewrite,[status(thm)],[])).
% 0.79/0.82 tff(1226,plain,
% 0.79/0.82 (((~c0_1(a1989)) | (~hskp11)) <=> ((~hskp11) | (~c0_1(a1989)))),
% 0.79/0.82 inference(rewrite,[status(thm)],[])).
% 0.79/0.82 tff(1227,axiom,((~c0_1(a1989)) | (~hskp11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause110')).
% 0.79/0.82 tff(1228,plain,
% 0.79/0.82 ((~hskp11) | (~c0_1(a1989))),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1227, 1226])).
% 0.79/0.82 tff(1229,plain,
% 0.79/0.82 ((~hskp11) | (~c0_1(a1989))),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1228, 1225])).
% 0.79/0.82 tff(1230,plain,
% 0.79/0.82 (~c0_1(a1989)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[1229, 1218])).
% 0.79/0.82 tff(1231,plain,
% 0.79/0.82 (~c0_1(a1998)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[621, 1173])).
% 0.79/0.82 tff(1232,plain,
% 0.79/0.82 (((~hskp11) | c2_1(a1989)) <=> ((~hskp11) | c2_1(a1989))),
% 0.79/0.82 inference(rewrite,[status(thm)],[])).
% 0.79/0.82 tff(1233,axiom,((~hskp11) | c2_1(a1989)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause68')).
% 0.79/0.82 tff(1234,plain,
% 0.79/0.82 ((~hskp11) | c2_1(a1989)),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1233, 1232])).
% 0.79/0.82 tff(1235,plain,
% 0.79/0.82 ((~hskp11) | c2_1(a1989)),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1234, 1232])).
% 0.79/0.82 tff(1236,plain,
% 0.79/0.82 ((~hskp11) | c2_1(a1989)),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1235, 1232])).
% 0.79/0.82 tff(1237,plain,
% 0.79/0.82 ((~hskp11) | c2_1(a1989)),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1236, 1232])).
% 0.79/0.82 tff(1238,plain,
% 0.79/0.82 ((~hskp11) | c2_1(a1989)),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1237, 1232])).
% 0.79/0.82 tff(1239,plain,
% 0.79/0.82 ((~hskp11) | c2_1(a1989)),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1238, 1232])).
% 0.79/0.82 tff(1240,plain,
% 0.79/0.82 ((~hskp11) | c2_1(a1989)),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1239, 1232])).
% 0.79/0.82 tff(1241,plain,
% 0.79/0.82 ((~hskp11) | c2_1(a1989)),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1240, 1232])).
% 0.79/0.82 tff(1242,plain,
% 0.79/0.82 (c2_1(a1989)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[1241, 1218])).
% 0.79/0.82 tff(1243,plain,
% 0.79/0.82 (c3_1(a1998)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[632, 1173])).
% 0.79/0.82 tff(1244,plain,
% 0.79/0.82 (c1_1(a1998)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[643, 1173])).
% 0.79/0.82 tff(1245,plain,
% 0.79/0.82 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp13 | c0_1(a1998) | c0_1(a1989) | c3_1(a1989) | (~ndr1_0) | (~c2_1(a1989)) | (~c3_1(a1998)) | (~c1_1(a1998)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp13 | c0_1(a1998) | c0_1(a1989) | c3_1(a1989) | (~ndr1_0) | (~c2_1(a1989)) | (~c3_1(a1998)) | (~c1_1(a1998)))),
% 0.79/0.82 inference(rewrite,[status(thm)],[])).
% 0.79/0.82 tff(1246,plain,
% 0.79/0.82 ((hskp13 | (~ndr1_0) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998)) | c3_1(a1989) | c0_1(a1989) | (~c2_1(a1989))) <=> (hskp13 | c0_1(a1998) | c0_1(a1989) | c3_1(a1989) | (~ndr1_0) | (~c2_1(a1989)) | (~c3_1(a1998)) | (~c1_1(a1998)))),
% 0.79/0.82 inference(rewrite,[status(thm)],[])).
% 0.79/0.82 tff(1247,plain,
% 0.79/0.82 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp13 | (~ndr1_0) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998)) | c3_1(a1989) | c0_1(a1989) | (~c2_1(a1989)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp13 | c0_1(a1998) | c0_1(a1989) | c3_1(a1989) | (~ndr1_0) | (~c2_1(a1989)) | (~c3_1(a1998)) | (~c1_1(a1998))))),
% 0.79/0.82 inference(monotonicity,[status(thm)],[1246])).
% 0.79/0.82 tff(1248,plain,
% 0.79/0.82 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp13 | (~ndr1_0) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998)) | c3_1(a1989) | c0_1(a1989) | (~c2_1(a1989)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp13 | c0_1(a1998) | c0_1(a1989) | c3_1(a1989) | (~ndr1_0) | (~c2_1(a1989)) | (~c3_1(a1998)) | (~c1_1(a1998)))),
% 0.79/0.82 inference(transitivity,[status(thm)],[1247, 1245])).
% 0.79/0.82 tff(1249,plain,
% 0.79/0.82 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp13 | (~ndr1_0) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998)) | c3_1(a1989) | c0_1(a1989) | (~c2_1(a1989)))),
% 0.79/0.82 inference(quant_inst,[status(thm)],[])).
% 0.79/0.82 tff(1250,plain,
% 0.79/0.82 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp13 | c0_1(a1998) | c0_1(a1989) | c3_1(a1989) | (~ndr1_0) | (~c2_1(a1989)) | (~c3_1(a1998)) | (~c1_1(a1998))),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1249, 1248])).
% 0.79/0.82 tff(1251,plain,
% 0.79/0.82 (hskp13),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[1250, 162, 1244, 1243, 1242, 1231, 1230, 1224, 1203])).
% 0.79/0.82 tff(1252,plain,
% 0.79/0.82 (~c3_1(a1991)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[1141, 1251])).
% 0.79/0.82 tff(1253,plain,
% 0.79/0.82 (~c1_1(a2000)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[250, 1174])).
% 0.79/0.82 tff(1254,plain,
% 0.79/0.82 (c2_1(a1991)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[1152, 1251])).
% 0.79/0.82 tff(1255,plain,
% 0.79/0.82 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c3_1(a1991) | (~ndr1_0) | (~c1_1(a1991)) | (~c2_1(a1991)) | (~c2_1(a2000)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c3_1(a1991) | (~ndr1_0) | (~c1_1(a1991)) | (~c2_1(a1991)) | (~c2_1(a2000)))),
% 0.79/0.82 inference(rewrite,[status(thm)],[])).
% 0.79/0.82 tff(1256,plain,
% 0.79/0.82 (((~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c1_1(a1991)) | c3_1(a2000) | c0_1(a2000) | (~c2_1(a2000)) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000)) <=> (c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c3_1(a1991) | (~ndr1_0) | (~c1_1(a1991)) | (~c2_1(a1991)) | (~c2_1(a2000)))),
% 0.79/0.82 inference(rewrite,[status(thm)],[])).
% 0.79/0.82 tff(1257,plain,
% 0.79/0.82 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c1_1(a1991)) | c3_1(a2000) | c0_1(a2000) | (~c2_1(a2000)) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c3_1(a1991) | (~ndr1_0) | (~c1_1(a1991)) | (~c2_1(a1991)) | (~c2_1(a2000))))),
% 0.79/0.82 inference(monotonicity,[status(thm)],[1256])).
% 0.79/0.82 tff(1258,plain,
% 0.79/0.82 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c1_1(a1991)) | c3_1(a2000) | c0_1(a2000) | (~c2_1(a2000)) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c3_1(a1991) | (~ndr1_0) | (~c1_1(a1991)) | (~c2_1(a1991)) | (~c2_1(a2000)))),
% 0.79/0.82 inference(transitivity,[status(thm)],[1257, 1255])).
% 0.79/0.82 tff(1259,plain,
% 0.79/0.82 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c1_1(a1991)) | c3_1(a2000) | c0_1(a2000) | (~c2_1(a2000)) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000))),
% 0.79/0.82 inference(quant_inst,[status(thm)],[])).
% 0.79/0.82 tff(1260,plain,
% 0.79/0.82 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c3_1(a1991) | (~ndr1_0) | (~c1_1(a1991)) | (~c2_1(a1991)) | (~c2_1(a2000))),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1259, 1258])).
% 0.79/0.82 tff(1261,plain,
% 0.79/0.82 (~c1_1(a1991)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[1260, 162, 1254, 1176, 1253, 1175, 1252, 1193, 1183])).
% 0.79/0.82 tff(1262,assumption,(~hskp8), introduced(assumption)).
% 0.79/0.82 tff(1263,plain,
% 0.79/0.82 (hskp18),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[652, 1173, 21])).
% 0.79/0.82 tff(1264,plain,
% 0.79/0.82 (~c3_1(a2000)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[256, 1263])).
% 0.79/0.82 tff(1265,plain,
% 0.79/0.82 (~c0_1(a2000)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[244, 1263])).
% 0.79/0.82 tff(1266,plain,
% 0.79/0.82 (c2_1(a2000)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[1182, 162, 1102, 1091, 1131, 1265, 1264, 20])).
% 0.79/0.82 tff(1267,plain,
% 0.79/0.82 (~c1_1(a2000)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[250, 1263])).
% 0.79/0.82 tff(1268,plain,
% 0.79/0.82 (~c1_1(a1991)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[1260, 162, 1254, 1265, 1267, 1264, 1252, 1193, 1266])).
% 0.79/0.82 tff(1269,plain,
% 0.79/0.82 (c0_1(a1991)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[1163, 1251])).
% 0.79/0.82 tff(1270,plain,
% 0.79/0.82 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp8 | c0_1(a1998) | (~ndr1_0) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)) | c2_1(a1998) | (~c3_1(a1998)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp8 | c0_1(a1998) | (~ndr1_0) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)) | c2_1(a1998) | (~c3_1(a1998)))),
% 0.79/0.82 inference(rewrite,[status(thm)],[])).
% 0.79/0.82 tff(1271,plain,
% 0.79/0.82 ((hskp8 | (~ndr1_0) | c1_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991)) | c0_1(a1998) | c2_1(a1998) | (~c3_1(a1998))) <=> (hskp8 | c0_1(a1998) | (~ndr1_0) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)) | c2_1(a1998) | (~c3_1(a1998)))),
% 0.79/0.82 inference(rewrite,[status(thm)],[])).
% 0.79/0.82 tff(1272,plain,
% 0.79/0.82 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c1_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991)) | c0_1(a1998) | c2_1(a1998) | (~c3_1(a1998)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp8 | c0_1(a1998) | (~ndr1_0) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)) | c2_1(a1998) | (~c3_1(a1998))))),
% 0.79/0.82 inference(monotonicity,[status(thm)],[1271])).
% 0.79/0.82 tff(1273,plain,
% 0.79/0.82 (((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c1_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991)) | c0_1(a1998) | c2_1(a1998) | (~c3_1(a1998)))) <=> ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp8 | c0_1(a1998) | (~ndr1_0) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)) | c2_1(a1998) | (~c3_1(a1998)))),
% 0.79/0.82 inference(transitivity,[status(thm)],[1272, 1270])).
% 0.79/0.82 tff(1274,plain,
% 0.79/0.82 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | (hskp8 | (~ndr1_0) | c1_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991)) | c0_1(a1998) | c2_1(a1998) | (~c3_1(a1998)))),
% 0.79/0.82 inference(quant_inst,[status(thm)],[])).
% 0.79/0.82 tff(1275,plain,
% 0.79/0.82 ((~![V: $i, U: $i] : (hskp8 | (~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c0_1(V) | c2_1(V) | (~c3_1(V)))) | hskp8 | c0_1(a1998) | (~ndr1_0) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)) | c2_1(a1998) | (~c3_1(a1998))),
% 0.79/0.82 inference(modus_ponens,[status(thm)],[1274, 1273])).
% 0.79/0.82 tff(1276,plain,
% 0.79/0.82 (c2_1(a1998)),
% 0.79/0.82 inference(unit_resolution,[status(thm)],[1275, 162, 1262, 1243, 1269, 1254, 1231, 53, 1268])).
% 0.79/0.82 tff(1277,plain,
% 0.79/0.82 (^[V: $i, U: $i] : refl((hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))))),
% 0.79/0.82 inference(bind,[status(th)],[])).
% 0.79/0.82 tff(1278,plain,
% 0.79/0.82 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.79/0.82 inference(quant_intro,[status(thm)],[1277])).
% 0.79/0.82 tff(1279,plain,
% 0.79/0.82 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.79/0.82 inference(rewrite,[status(thm)],[])).
% 0.79/0.82 tff(1280,plain,
% 0.79/0.82 (^[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))) | c0_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c0_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c3_1(V)) | (~c1_1(V))) | c0_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_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))) | c0_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_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))) | c0_1(V)) | hskp16) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp16))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V))) | hskp16) <=> (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_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))) | c0_1(V)) | hskp16) <=> (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))))),
% 0.79/0.83 inference(bind,[status(th)],[])).
% 0.79/0.83 tff(1281,plain,
% 0.79/0.83 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c0_1(V)) | hskp16) <=> ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.79/0.83 inference(quant_intro,[status(thm)],[1280])).
% 0.79/0.83 tff(1282,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c1_1(V))) | (~c3_1(V))) | c0_1(V)) | hskp16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause184')).
% 0.79/0.83 tff(1283,plain,
% 0.79/0.83 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.79/0.83 inference(modus_ponens,[status(thm)],[1282, 1281])).
% 0.79/0.83 tff(1284,plain,
% 0.79/0.83 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.79/0.83 inference(modus_ponens,[status(thm)],[1283, 1279])).
% 0.79/0.83 tff(1285,plain,(
% 0.79/0.83 ![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.79/0.83 inference(skolemize,[status(sab)],[1284])).
% 0.79/0.83 tff(1286,plain,
% 0.79/0.83 (![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))),
% 0.79/0.83 inference(modus_ponens,[status(thm)],[1285, 1278])).
% 0.79/0.83 tff(1287,plain,
% 0.79/0.83 (^[V: $i, U: $i] : refl((hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)) <=> (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)))),
% 0.79/0.83 inference(bind,[status(th)],[])).
% 0.79/0.83 tff(1288,plain,
% 0.79/0.83 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)) <=> ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.79/0.83 inference(quant_intro,[status(thm)],[1287])).
% 0.79/0.83 tff(1289,plain,
% 0.79/0.83 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)) <=> ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.79/0.83 inference(rewrite,[status(thm)],[])).
% 0.79/0.83 tff(1290,plain,
% 0.79/0.83 (^[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)) | 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)) | c3_1(V)) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V)) | c3_1(V)))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c1_1(V) | c0_1(V)) | c3_1(V)) <=> ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))), ((((((((~c1_1(U)) | (~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)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp28) <=> (((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)) | hskp28))), rewrite((((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V)) | hskp28) <=> (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))), (((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp28) <=> (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))))),
% 0.79/0.83 inference(bind,[status(th)],[])).
% 0.79/0.83 tff(1291,plain,
% 0.79/0.83 (![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp28) <=> ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.79/0.83 inference(quant_intro,[status(thm)],[1290])).
% 0.79/0.83 tff(1292,axiom,(![V: $i, U: $i] : ((((((((~c1_1(U)) | (~c2_1(U))) | (~c3_1(U))) | (~ndr1_0)) | c0_1(V)) | c1_1(V)) | c3_1(V)) | hskp28)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause169')).
% 0.79/0.83 tff(1293,plain,
% 0.79/0.83 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.79/0.83 inference(modus_ponens,[status(thm)],[1292, 1291])).
% 0.79/0.83 tff(1294,plain,
% 0.79/0.83 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.79/0.83 inference(modus_ponens,[status(thm)],[1293, 1289])).
% 0.79/0.83 tff(1295,plain,(
% 0.79/0.83 ![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.79/0.83 inference(skolemize,[status(sab)],[1294])).
% 0.79/0.83 tff(1296,plain,
% 0.79/0.83 (![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))),
% 0.79/0.83 inference(modus_ponens,[status(thm)],[1295, 1288])).
% 0.79/0.83 tff(1297,plain,
% 0.79/0.83 (((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp28 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)))) <=> ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp28 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)))),
% 0.79/0.83 inference(rewrite,[status(thm)],[])).
% 0.79/0.83 tff(1298,plain,
% 0.79/0.83 ((hskp28 | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000)) <=> (hskp28 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)))),
% 0.79/0.83 inference(rewrite,[status(thm)],[])).
% 0.79/0.83 tff(1299,plain,
% 0.79/0.83 (((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp28 | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000))) <=> ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp28 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970))))),
% 0.79/0.83 inference(monotonicity,[status(thm)],[1298])).
% 0.79/0.83 tff(1300,plain,
% 0.79/0.83 (((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp28 | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000))) <=> ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp28 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)))),
% 0.85/0.83 inference(transitivity,[status(thm)],[1299, 1297])).
% 0.85/0.83 tff(1301,plain,
% 0.85/0.83 ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | (hskp28 | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000))),
% 0.85/0.83 inference(quant_inst,[status(thm)],[])).
% 0.85/0.83 tff(1302,plain,
% 0.85/0.83 ((~![V: $i, U: $i] : (hskp28 | (~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c1_1(V) | c0_1(V))) | hskp28 | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970))),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1301, 1300])).
% 0.85/0.83 tff(1303,plain,
% 0.85/0.83 (hskp28),
% 0.85/0.83 inference(unit_resolution,[status(thm)],[1302, 162, 1102, 1091, 1131, 1265, 1267, 1264, 1296])).
% 0.85/0.83 tff(1304,plain,
% 0.85/0.83 (((~hskp28) | c3_1(a1972)) <=> ((~hskp28) | c3_1(a1972))),
% 0.85/0.83 inference(rewrite,[status(thm)],[])).
% 0.85/0.83 tff(1305,axiom,((~hskp28) | c3_1(a1972)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause45')).
% 0.85/0.83 tff(1306,plain,
% 0.85/0.83 ((~hskp28) | c3_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1305, 1304])).
% 0.85/0.83 tff(1307,plain,
% 0.85/0.83 ((~hskp28) | c3_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1306, 1304])).
% 0.85/0.83 tff(1308,plain,
% 0.85/0.83 ((~hskp28) | c3_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1307, 1304])).
% 0.85/0.83 tff(1309,plain,
% 0.85/0.83 ((~hskp28) | c3_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1308, 1304])).
% 0.85/0.83 tff(1310,plain,
% 0.85/0.83 ((~hskp28) | c3_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1309, 1304])).
% 0.85/0.83 tff(1311,plain,
% 0.85/0.83 ((~hskp28) | c3_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1310, 1304])).
% 0.85/0.83 tff(1312,plain,
% 0.85/0.83 ((~hskp28) | c3_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1311, 1304])).
% 0.85/0.83 tff(1313,plain,
% 0.85/0.83 ((~hskp28) | c3_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1312, 1304])).
% 0.85/0.83 tff(1314,plain,
% 0.85/0.83 (c3_1(a1972)),
% 0.85/0.83 inference(unit_resolution,[status(thm)],[1313, 1303])).
% 0.85/0.83 tff(1315,plain,
% 0.85/0.83 (((~hskp28) | c1_1(a1972)) <=> ((~hskp28) | c1_1(a1972))),
% 0.85/0.83 inference(rewrite,[status(thm)],[])).
% 0.85/0.83 tff(1316,axiom,((~hskp28) | c1_1(a1972)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause44')).
% 0.85/0.83 tff(1317,plain,
% 0.85/0.83 ((~hskp28) | c1_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1316, 1315])).
% 0.85/0.83 tff(1318,plain,
% 0.85/0.83 ((~hskp28) | c1_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1317, 1315])).
% 0.85/0.83 tff(1319,plain,
% 0.85/0.83 ((~hskp28) | c1_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1318, 1315])).
% 0.85/0.83 tff(1320,plain,
% 0.85/0.83 ((~hskp28) | c1_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1319, 1315])).
% 0.85/0.83 tff(1321,plain,
% 0.85/0.83 ((~hskp28) | c1_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1320, 1315])).
% 0.85/0.83 tff(1322,plain,
% 0.85/0.83 ((~hskp28) | c1_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1321, 1315])).
% 0.85/0.83 tff(1323,plain,
% 0.85/0.83 ((~hskp28) | c1_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1322, 1315])).
% 0.85/0.83 tff(1324,plain,
% 0.85/0.83 ((~hskp28) | c1_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1323, 1315])).
% 0.85/0.83 tff(1325,plain,
% 0.85/0.83 (c1_1(a1972)),
% 0.85/0.83 inference(unit_resolution,[status(thm)],[1324, 1303])).
% 0.85/0.83 tff(1326,plain,
% 0.85/0.83 (((~hskp28) | c0_1(a1972)) <=> ((~hskp28) | c0_1(a1972))),
% 0.85/0.83 inference(rewrite,[status(thm)],[])).
% 0.85/0.83 tff(1327,axiom,((~hskp28) | c0_1(a1972)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause43')).
% 0.85/0.83 tff(1328,plain,
% 0.85/0.83 ((~hskp28) | c0_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1327, 1326])).
% 0.85/0.83 tff(1329,plain,
% 0.85/0.83 ((~hskp28) | c0_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1328, 1326])).
% 0.85/0.83 tff(1330,plain,
% 0.85/0.83 ((~hskp28) | c0_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1329, 1326])).
% 0.85/0.83 tff(1331,plain,
% 0.85/0.83 ((~hskp28) | c0_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1330, 1326])).
% 0.85/0.83 tff(1332,plain,
% 0.85/0.83 ((~hskp28) | c0_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1331, 1326])).
% 0.85/0.83 tff(1333,plain,
% 0.85/0.83 ((~hskp28) | c0_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1332, 1326])).
% 0.85/0.83 tff(1334,plain,
% 0.85/0.83 ((~hskp28) | c0_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1333, 1326])).
% 0.85/0.83 tff(1335,plain,
% 0.85/0.83 ((~hskp28) | c0_1(a1972)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1334, 1326])).
% 0.85/0.83 tff(1336,plain,
% 0.85/0.83 (c0_1(a1972)),
% 0.85/0.83 inference(unit_resolution,[status(thm)],[1335, 1303])).
% 0.85/0.83 tff(1337,plain,
% 0.85/0.83 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | c0_1(a1998) | (~ndr1_0) | (~c1_1(a1972)) | (~c0_1(a1972)) | (~c3_1(a1972)) | (~c3_1(a1998)) | (~c1_1(a1998)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a1998) | (~ndr1_0) | (~c1_1(a1972)) | (~c0_1(a1972)) | (~c3_1(a1972)) | (~c3_1(a1998)) | (~c1_1(a1998)))),
% 0.85/0.83 inference(rewrite,[status(thm)],[])).
% 0.85/0.83 tff(1338,plain,
% 0.85/0.83 ((hskp16 | (~ndr1_0) | (~c3_1(a1972)) | (~c1_1(a1972)) | (~c0_1(a1972)) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998))) <=> (hskp16 | c0_1(a1998) | (~ndr1_0) | (~c1_1(a1972)) | (~c0_1(a1972)) | (~c3_1(a1972)) | (~c3_1(a1998)) | (~c1_1(a1998)))),
% 0.85/0.83 inference(rewrite,[status(thm)],[])).
% 0.85/0.83 tff(1339,plain,
% 0.85/0.83 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c3_1(a1972)) | (~c1_1(a1972)) | (~c0_1(a1972)) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | c0_1(a1998) | (~ndr1_0) | (~c1_1(a1972)) | (~c0_1(a1972)) | (~c3_1(a1972)) | (~c3_1(a1998)) | (~c1_1(a1998))))),
% 0.85/0.83 inference(monotonicity,[status(thm)],[1338])).
% 0.85/0.83 tff(1340,plain,
% 0.85/0.83 (((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c3_1(a1972)) | (~c1_1(a1972)) | (~c0_1(a1972)) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998)))) <=> ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a1998) | (~ndr1_0) | (~c1_1(a1972)) | (~c0_1(a1972)) | (~c3_1(a1972)) | (~c3_1(a1998)) | (~c1_1(a1998)))),
% 0.85/0.83 inference(transitivity,[status(thm)],[1339, 1337])).
% 0.85/0.83 tff(1341,plain,
% 0.85/0.83 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | (hskp16 | (~ndr1_0) | (~c3_1(a1972)) | (~c1_1(a1972)) | (~c0_1(a1972)) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998)))),
% 0.85/0.83 inference(quant_inst,[status(thm)],[])).
% 0.85/0.83 tff(1342,plain,
% 0.85/0.83 ((~![V: $i, U: $i] : (hskp16 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c3_1(V)) | (~c1_1(V)))) | hskp16 | c0_1(a1998) | (~ndr1_0) | (~c1_1(a1972)) | (~c0_1(a1972)) | (~c3_1(a1972)) | (~c3_1(a1998)) | (~c1_1(a1998))),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1341, 1340])).
% 0.85/0.83 tff(1343,plain,
% 0.85/0.83 (hskp16),
% 0.85/0.83 inference(unit_resolution,[status(thm)],[1342, 162, 1336, 1325, 1314, 1244, 1243, 1231, 1286])).
% 0.85/0.83 tff(1344,plain,
% 0.85/0.83 (((~hskp16) | (~c2_1(a1996))) <=> ((~hskp16) | (~c2_1(a1996)))),
% 0.85/0.83 inference(rewrite,[status(thm)],[])).
% 0.85/0.83 tff(1345,plain,
% 0.85/0.83 (((~c2_1(a1996)) | (~hskp16)) <=> ((~hskp16) | (~c2_1(a1996)))),
% 0.85/0.83 inference(rewrite,[status(thm)],[])).
% 0.85/0.83 tff(1346,axiom,((~c2_1(a1996)) | (~hskp16)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause102')).
% 0.85/0.83 tff(1347,plain,
% 0.85/0.83 ((~hskp16) | (~c2_1(a1996))),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1346, 1345])).
% 0.85/0.83 tff(1348,plain,
% 0.85/0.83 ((~hskp16) | (~c2_1(a1996))),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1347, 1344])).
% 0.85/0.83 tff(1349,plain,
% 0.85/0.83 (~c2_1(a1996)),
% 0.85/0.83 inference(unit_resolution,[status(thm)],[1348, 1343])).
% 0.85/0.83 tff(1350,plain,
% 0.85/0.83 (((~hskp16) | c0_1(a1996)) <=> ((~hskp16) | c0_1(a1996))),
% 0.85/0.83 inference(rewrite,[status(thm)],[])).
% 0.85/0.83 tff(1351,axiom,((~hskp16) | c0_1(a1996)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause61')).
% 0.85/0.83 tff(1352,plain,
% 0.85/0.83 ((~hskp16) | c0_1(a1996)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1351, 1350])).
% 0.85/0.83 tff(1353,plain,
% 0.85/0.83 ((~hskp16) | c0_1(a1996)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1352, 1350])).
% 0.85/0.83 tff(1354,plain,
% 0.85/0.83 ((~hskp16) | c0_1(a1996)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1353, 1350])).
% 0.85/0.83 tff(1355,plain,
% 0.85/0.83 ((~hskp16) | c0_1(a1996)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1354, 1350])).
% 0.85/0.83 tff(1356,plain,
% 0.85/0.83 ((~hskp16) | c0_1(a1996)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1355, 1350])).
% 0.85/0.83 tff(1357,plain,
% 0.85/0.83 ((~hskp16) | c0_1(a1996)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1356, 1350])).
% 0.85/0.83 tff(1358,plain,
% 0.85/0.83 ((~hskp16) | c0_1(a1996)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1357, 1350])).
% 0.85/0.83 tff(1359,plain,
% 0.85/0.83 ((~hskp16) | c0_1(a1996)),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1358, 1350])).
% 0.85/0.83 tff(1360,plain,
% 0.85/0.83 (c0_1(a1996)),
% 0.85/0.83 inference(unit_resolution,[status(thm)],[1359, 1343])).
% 0.85/0.83 tff(1361,plain,
% 0.85/0.83 (((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (c0_1(a1998) | c2_1(a1996) | (~ndr1_0) | (~c1_1(a1996)) | (~c0_1(a1996)) | (~c3_1(a1998)) | (~c2_1(a1998)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | c0_1(a1998) | c2_1(a1996) | (~ndr1_0) | (~c1_1(a1996)) | (~c0_1(a1996)) | (~c3_1(a1998)) | (~c2_1(a1998)))),
% 0.85/0.83 inference(rewrite,[status(thm)],[])).
% 0.85/0.83 tff(1362,plain,
% 0.85/0.83 (((~ndr1_0) | c2_1(a1996) | (~c1_1(a1996)) | (~c0_1(a1996)) | c0_1(a1998) | (~c2_1(a1998)) | (~c3_1(a1998))) <=> (c0_1(a1998) | c2_1(a1996) | (~ndr1_0) | (~c1_1(a1996)) | (~c0_1(a1996)) | (~c3_1(a1998)) | (~c2_1(a1998)))),
% 0.85/0.83 inference(rewrite,[status(thm)],[])).
% 0.85/0.83 tff(1363,plain,
% 0.85/0.83 (((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | ((~ndr1_0) | c2_1(a1996) | (~c1_1(a1996)) | (~c0_1(a1996)) | c0_1(a1998) | (~c2_1(a1998)) | (~c3_1(a1998)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (c0_1(a1998) | c2_1(a1996) | (~ndr1_0) | (~c1_1(a1996)) | (~c0_1(a1996)) | (~c3_1(a1998)) | (~c2_1(a1998))))),
% 0.85/0.83 inference(monotonicity,[status(thm)],[1362])).
% 0.85/0.83 tff(1364,plain,
% 0.85/0.83 (((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | ((~ndr1_0) | c2_1(a1996) | (~c1_1(a1996)) | (~c0_1(a1996)) | c0_1(a1998) | (~c2_1(a1998)) | (~c3_1(a1998)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | c0_1(a1998) | c2_1(a1996) | (~ndr1_0) | (~c1_1(a1996)) | (~c0_1(a1996)) | (~c3_1(a1998)) | (~c2_1(a1998)))),
% 0.85/0.83 inference(transitivity,[status(thm)],[1363, 1361])).
% 0.85/0.83 tff(1365,plain,
% 0.85/0.83 ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | ((~ndr1_0) | c2_1(a1996) | (~c1_1(a1996)) | (~c0_1(a1996)) | c0_1(a1998) | (~c2_1(a1998)) | (~c3_1(a1998)))),
% 0.85/0.83 inference(quant_inst,[status(thm)],[])).
% 0.85/0.83 tff(1366,plain,
% 0.85/0.83 ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | c0_1(a1998) | c2_1(a1996) | (~ndr1_0) | (~c1_1(a1996)) | (~c0_1(a1996)) | (~c3_1(a1998)) | (~c2_1(a1998))),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1365, 1364])).
% 0.85/0.83 tff(1367,plain,
% 0.85/0.83 (~c1_1(a1996)),
% 0.85/0.83 inference(unit_resolution,[status(thm)],[1366, 162, 1243, 1360, 1231, 1349, 962, 1276])).
% 0.85/0.83 tff(1368,plain,
% 0.85/0.83 (^[V: $i, U: $i] : refl((hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V))) <=> (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V))))),
% 0.85/0.83 inference(bind,[status(th)],[])).
% 0.85/0.83 tff(1369,plain,
% 0.85/0.83 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))),
% 0.85/0.83 inference(quant_intro,[status(thm)],[1368])).
% 0.85/0.83 tff(1370,plain,
% 0.85/0.83 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V))) <=> ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))),
% 0.85/0.83 inference(rewrite,[status(thm)],[])).
% 0.85/0.83 tff(1371,plain,
% 0.85/0.83 (^[V: $i, U: $i] : trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(trans(monotonicity(rewrite((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) <=> ((~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))) | (~c2_1(V))) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c0_1(V))) | (~c2_1(V))))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_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)))), (((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V))))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c3_1(V)) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V))) | c3_1(V)))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | (~c2_1(V)) | (~c0_1(V))) | c3_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))), ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c3_1(V)) <=> ((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V))))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c3_1(V)) | hskp10) <=> (((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V))) | hskp10))), rewrite((((~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V))) | hskp10) <=> (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))), (((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c3_1(V)) | hskp10) <=> (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))))),
% 0.85/0.83 inference(bind,[status(th)],[])).
% 0.85/0.83 tff(1372,plain,
% 0.85/0.83 (![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c3_1(V)) | hskp10) <=> ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))),
% 0.85/0.83 inference(quant_intro,[status(thm)],[1371])).
% 0.85/0.83 tff(1373,axiom,(![V: $i, U: $i] : ((((((((~c0_1(U)) | (~c1_1(U))) | (~c3_1(U))) | (~ndr1_0)) | (~c0_1(V))) | (~c2_1(V))) | c3_1(V)) | hskp10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause187')).
% 0.85/0.83 tff(1374,plain,
% 0.85/0.83 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1373, 1372])).
% 0.85/0.83 tff(1375,plain,
% 0.85/0.83 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))),
% 0.85/0.83 inference(modus_ponens,[status(thm)],[1374, 1370])).
% 0.85/0.83 tff(1376,plain,(
% 0.85/0.83 ![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))),
% 0.85/0.84 inference(skolemize,[status(sab)],[1375])).
% 0.85/0.84 tff(1377,plain,
% 0.85/0.84 (![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))),
% 0.85/0.84 inference(modus_ponens,[status(thm)],[1376, 1369])).
% 0.85/0.84 tff(1378,plain,
% 0.85/0.84 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | (hskp10 | c3_1(a1991) | (~ndr1_0) | (~c1_1(a1972)) | (~c0_1(a1972)) | (~c3_1(a1972)) | (~c0_1(a1991)) | (~c2_1(a1991)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | hskp10 | c3_1(a1991) | (~ndr1_0) | (~c1_1(a1972)) | (~c0_1(a1972)) | (~c3_1(a1972)) | (~c0_1(a1991)) | (~c2_1(a1991)))),
% 0.85/0.84 inference(rewrite,[status(thm)],[])).
% 0.85/0.84 tff(1379,plain,
% 0.85/0.84 ((hskp10 | (~ndr1_0) | (~c3_1(a1972)) | (~c1_1(a1972)) | (~c0_1(a1972)) | c3_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991))) <=> (hskp10 | c3_1(a1991) | (~ndr1_0) | (~c1_1(a1972)) | (~c0_1(a1972)) | (~c3_1(a1972)) | (~c0_1(a1991)) | (~c2_1(a1991)))),
% 0.85/0.84 inference(rewrite,[status(thm)],[])).
% 0.85/0.84 tff(1380,plain,
% 0.85/0.84 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | (hskp10 | (~ndr1_0) | (~c3_1(a1972)) | (~c1_1(a1972)) | (~c0_1(a1972)) | c3_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | (hskp10 | c3_1(a1991) | (~ndr1_0) | (~c1_1(a1972)) | (~c0_1(a1972)) | (~c3_1(a1972)) | (~c0_1(a1991)) | (~c2_1(a1991))))),
% 0.85/0.84 inference(monotonicity,[status(thm)],[1379])).
% 0.85/0.84 tff(1381,plain,
% 0.85/0.84 (((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | (hskp10 | (~ndr1_0) | (~c3_1(a1972)) | (~c1_1(a1972)) | (~c0_1(a1972)) | c3_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991)))) <=> ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | hskp10 | c3_1(a1991) | (~ndr1_0) | (~c1_1(a1972)) | (~c0_1(a1972)) | (~c3_1(a1972)) | (~c0_1(a1991)) | (~c2_1(a1991)))),
% 0.85/0.84 inference(transitivity,[status(thm)],[1380, 1378])).
% 0.85/0.84 tff(1382,plain,
% 0.85/0.84 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | (hskp10 | (~ndr1_0) | (~c3_1(a1972)) | (~c1_1(a1972)) | (~c0_1(a1972)) | c3_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991)))),
% 0.85/0.84 inference(quant_inst,[status(thm)],[])).
% 0.85/0.84 tff(1383,plain,
% 0.85/0.84 ((~![V: $i, U: $i] : (hskp10 | (~ndr1_0) | (~c3_1(U)) | (~c1_1(U)) | (~c0_1(U)) | c3_1(V) | (~c2_1(V)) | (~c0_1(V)))) | hskp10 | c3_1(a1991) | (~ndr1_0) | (~c1_1(a1972)) | (~c0_1(a1972)) | (~c3_1(a1972)) | (~c0_1(a1991)) | (~c2_1(a1991))),
% 0.85/0.84 inference(modus_ponens,[status(thm)],[1382, 1381])).
% 0.85/0.84 tff(1384,plain,
% 0.85/0.84 (hskp10),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1383, 162, 1336, 1325, 1314, 1269, 1254, 1252, 1377])).
% 0.85/0.84 tff(1385,plain,
% 0.85/0.84 (~c1_1(a1987)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[373, 1384])).
% 0.85/0.84 tff(1386,plain,
% 0.85/0.84 (c3_1(a1987)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[412, 1384])).
% 0.85/0.84 tff(1387,plain,
% 0.85/0.84 (c2_1(a1987)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[384, 1384])).
% 0.85/0.84 tff(1388,plain,
% 0.85/0.84 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | (c2_1(a1996) | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)) | c1_1(a1996) | (~c0_1(a1996)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | c2_1(a1996) | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)) | c1_1(a1996) | (~c0_1(a1996)))),
% 0.85/0.84 inference(rewrite,[status(thm)],[])).
% 0.85/0.84 tff(1389,plain,
% 0.85/0.84 (((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991)) | c1_1(a1996) | c2_1(a1996) | (~c0_1(a1996))) <=> (c2_1(a1996) | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)) | c1_1(a1996) | (~c0_1(a1996)))),
% 0.85/0.84 inference(rewrite,[status(thm)],[])).
% 0.85/0.84 tff(1390,plain,
% 0.85/0.84 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991)) | c1_1(a1996) | c2_1(a1996) | (~c0_1(a1996)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | (c2_1(a1996) | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)) | c1_1(a1996) | (~c0_1(a1996))))),
% 0.85/0.84 inference(monotonicity,[status(thm)],[1389])).
% 0.85/0.84 tff(1391,plain,
% 0.85/0.84 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991)) | c1_1(a1996) | c2_1(a1996) | (~c0_1(a1996)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | c2_1(a1996) | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)) | c1_1(a1996) | (~c0_1(a1996)))),
% 0.85/0.84 inference(transitivity,[status(thm)],[1390, 1388])).
% 0.85/0.84 tff(1392,plain,
% 0.85/0.84 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991)) | c1_1(a1996) | c2_1(a1996) | (~c0_1(a1996)))),
% 0.85/0.84 inference(quant_inst,[status(thm)],[])).
% 0.85/0.84 tff(1393,plain,
% 0.85/0.84 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | c2_1(a1996) | c1_1(a1987) | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)) | c1_1(a1996) | (~c0_1(a1996))),
% 0.85/0.84 inference(modus_ponens,[status(thm)],[1392, 1391])).
% 0.85/0.84 tff(1394,plain,
% 0.85/0.84 ($false),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1393, 162, 1360, 1269, 1254, 1387, 1386, 1349, 1385, 10, 1268, 1367])).
% 0.85/0.84 tff(1395,plain,(hskp4 | hskp8), inference(lemma,lemma(discharge,[]))).
% 0.85/0.84 tff(1396,plain,
% 0.85/0.84 (hskp4),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1395, 1262])).
% 0.85/0.84 tff(1397,plain,
% 0.85/0.84 (~c2_1(a1975)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[108, 1396])).
% 0.85/0.84 tff(1398,plain,
% 0.85/0.84 (~c1_1(a1975)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[114, 1396])).
% 0.85/0.84 tff(1399,plain,
% 0.85/0.84 (c0_1(a1975)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[135, 1396])).
% 0.85/0.84 tff(1400,plain,
% 0.85/0.84 (((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c0_1(a1977))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c0_1(a1977))),
% 0.85/0.84 inference(rewrite,[status(thm)],[])).
% 0.85/0.84 tff(1401,plain,
% 0.85/0.84 (((~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c3_1(a1977) | c0_1(a1977) | c2_1(a1977)) <=> (c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c0_1(a1977))),
% 0.85/0.84 inference(rewrite,[status(thm)],[])).
% 0.85/0.84 tff(1402,plain,
% 0.85/0.84 (((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | ((~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c3_1(a1977) | c0_1(a1977) | c2_1(a1977))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | (c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c0_1(a1977)))),
% 0.85/0.84 inference(monotonicity,[status(thm)],[1401])).
% 0.85/0.84 tff(1403,plain,
% 0.85/0.84 (((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | ((~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c3_1(a1977) | c0_1(a1977) | c2_1(a1977))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c0_1(a1977))),
% 0.85/0.84 inference(transitivity,[status(thm)],[1402, 1400])).
% 0.85/0.84 tff(1404,plain,
% 0.85/0.84 ((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | ((~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c3_1(a1977) | c0_1(a1977) | c2_1(a1977))),
% 0.85/0.84 inference(quant_inst,[status(thm)],[])).
% 0.85/0.84 tff(1405,plain,
% 0.85/0.84 ((~![V: $i, U: $i] : ((~ndr1_0) | (~c2_1(U)) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | c2_1(V))) | c2_1(a1977) | c3_1(a1977) | (~ndr1_0) | (~c2_1(a1970)) | (~c3_1(a1970)) | (~c1_1(a1970)) | c0_1(a1977)),
% 0.85/0.84 inference(modus_ponens,[status(thm)],[1404, 1403])).
% 0.85/0.84 tff(1406,plain,
% 0.85/0.84 (c0_1(a1977)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1405, 162, 1102, 1091, 1131, 934, 933, 20])).
% 0.85/0.84 tff(1407,assumption,(~c0_1(a1970)), introduced(assumption)).
% 0.85/0.84 tff(1408,assumption,(c0_1(a1977)), introduced(assumption)).
% 0.85/0.84 tff(1409,assumption,(c1_1(a1977)), introduced(assumption)).
% 0.85/0.84 tff(1410,plain,
% 0.85/0.84 (((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (c2_1(a1977) | (~ndr1_0) | (~c2_1(a1970)) | c0_1(a1970) | (~c3_1(a1970)) | (~c1_1(a1977)) | (~c0_1(a1977)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | c2_1(a1977) | (~ndr1_0) | (~c2_1(a1970)) | c0_1(a1970) | (~c3_1(a1970)) | (~c1_1(a1977)) | (~c0_1(a1977)))),
% 0.85/0.84 inference(rewrite,[status(thm)],[])).
% 0.85/0.84 tff(1411,plain,
% 0.85/0.84 (((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c0_1(a1970) | (~c2_1(a1970)) | (~c3_1(a1970))) <=> (c2_1(a1977) | (~ndr1_0) | (~c2_1(a1970)) | c0_1(a1970) | (~c3_1(a1970)) | (~c1_1(a1977)) | (~c0_1(a1977)))),
% 0.85/0.84 inference(rewrite,[status(thm)],[])).
% 0.85/0.84 tff(1412,plain,
% 0.85/0.84 (((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c0_1(a1970) | (~c2_1(a1970)) | (~c3_1(a1970)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (c2_1(a1977) | (~ndr1_0) | (~c2_1(a1970)) | c0_1(a1970) | (~c3_1(a1970)) | (~c1_1(a1977)) | (~c0_1(a1977))))),
% 0.85/0.84 inference(monotonicity,[status(thm)],[1411])).
% 0.85/0.84 tff(1413,plain,
% 0.85/0.84 (((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c0_1(a1970) | (~c2_1(a1970)) | (~c3_1(a1970)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | c2_1(a1977) | (~ndr1_0) | (~c2_1(a1970)) | c0_1(a1970) | (~c3_1(a1970)) | (~c1_1(a1977)) | (~c0_1(a1977)))),
% 0.85/0.84 inference(transitivity,[status(thm)],[1412, 1410])).
% 0.85/0.84 tff(1414,plain,
% 0.85/0.84 ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c0_1(a1970) | (~c2_1(a1970)) | (~c3_1(a1970)))),
% 0.85/0.84 inference(quant_inst,[status(thm)],[])).
% 0.85/0.84 tff(1415,plain,
% 0.85/0.84 ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | c2_1(a1977) | (~ndr1_0) | (~c2_1(a1970)) | c0_1(a1970) | (~c3_1(a1970)) | (~c1_1(a1977)) | (~c0_1(a1977))),
% 0.85/0.84 inference(modus_ponens,[status(thm)],[1414, 1413])).
% 0.85/0.84 tff(1416,plain,
% 0.85/0.84 ($false),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1415, 162, 1091, 1131, 1409, 556, 962, 1408, 1407])).
% 0.85/0.84 tff(1417,plain,(c0_1(a1970) | (~c1_1(a1977)) | c2_1(a1977) | (~c0_1(a1977))), inference(lemma,lemma(discharge,[]))).
% 0.85/0.84 tff(1418,plain,
% 0.85/0.84 (c0_1(a1970)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1417, 943, 934, 1406])).
% 0.85/0.84 tff(1419,plain,
% 0.85/0.84 (hskp17),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1109, 1418])).
% 0.85/0.84 tff(1420,plain,
% 0.85/0.84 (~c0_1(a1998)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[621, 1419])).
% 0.85/0.84 tff(1421,plain,
% 0.85/0.84 (c3_1(a1998)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[632, 1419])).
% 0.85/0.84 tff(1422,plain,
% 0.85/0.84 (c2_1(a1998)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[950, 162, 1421, 943, 905, 1420, 934, 899, 898, 102, 1406])).
% 0.85/0.84 tff(1423,plain,
% 0.85/0.84 ($false),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[968, 162, 1421, 943, 1420, 934, 962, 1406, 1422])).
% 0.85/0.84 tff(1424,plain,((~hskp5) | (~c0_1(a1975)) | c1_1(a1975) | c2_1(a1975)), inference(lemma,lemma(discharge,[]))).
% 0.85/0.84 tff(1425,plain,
% 0.85/0.84 (~hskp5),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1424, 1399, 1398, 1397])).
% 0.85/0.84 tff(1426,plain,
% 0.85/0.84 (hskp23),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1028, 1425, 1262])).
% 0.85/0.84 tff(1427,plain,
% 0.85/0.84 (hskp30 | hskp5),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[168, 162, 1399, 1398, 1397, 125])).
% 0.85/0.84 tff(1428,plain,
% 0.85/0.84 (hskp30),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1427, 1425])).
% 0.85/0.84 tff(1429,plain,
% 0.85/0.84 (c0_1(a2005)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[674, 1428])).
% 0.85/0.84 tff(1430,plain,
% 0.85/0.84 (c2_1(a2005)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[663, 1428])).
% 0.85/0.84 tff(1431,plain,
% 0.85/0.84 (c3_1(a2005)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[610, 1428])).
% 0.85/0.84 tff(1432,plain,
% 0.85/0.84 (c1_1(a2005)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[916, 1431, 1430, 1399, 1398, 1397, 1429])).
% 0.85/0.84 tff(1433,plain,
% 0.85/0.84 (hskp17),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[681, 162, 1429, 1430, 42, 1432])).
% 0.85/0.84 tff(1434,plain,
% 0.85/0.84 (c3_1(a1998)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[632, 1433])).
% 0.85/0.84 tff(1435,plain,
% 0.85/0.84 (~c0_1(a1998)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[621, 1433])).
% 0.85/0.84 tff(1436,plain,
% 0.85/0.84 ($false),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1016, 1435, 1434, 1399, 1426, 1398, 1397])).
% 0.85/0.84 tff(1437,plain,(hskp8), inference(lemma,lemma(discharge,[]))).
% 0.85/0.84 tff(1438,plain,
% 0.85/0.84 (~c1_1(a1983)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[509, 1437])).
% 0.85/0.84 tff(1439,plain,
% 0.85/0.84 (c3_1(a1983)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[503, 1437])).
% 0.85/0.84 tff(1440,plain,
% 0.85/0.84 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)))),
% 0.85/0.84 inference(rewrite,[status(thm)],[])).
% 0.85/0.84 tff(1441,plain,
% 0.85/0.84 (((~ndr1_0) | c1_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000)) <=> (c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)))),
% 0.85/0.84 inference(rewrite,[status(thm)],[])).
% 0.85/0.84 tff(1442,plain,
% 0.85/0.84 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | (c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991))))),
% 0.85/0.84 inference(monotonicity,[status(thm)],[1441])).
% 0.85/0.84 tff(1443,plain,
% 0.85/0.84 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991)))),
% 0.85/0.84 inference(transitivity,[status(thm)],[1442, 1440])).
% 0.85/0.84 tff(1444,plain,
% 0.85/0.84 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | ((~ndr1_0) | c1_1(a1991) | (~c2_1(a1991)) | (~c0_1(a1991)) | c1_1(a1983) | c2_1(a1983) | (~c3_1(a1983)) | c3_1(a2000) | c1_1(a2000) | c0_1(a2000))),
% 0.85/0.84 inference(quant_inst,[status(thm)],[])).
% 0.85/0.84 tff(1445,plain,
% 0.85/0.84 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c0_1(U)) | c1_1(V) | c2_1(V) | (~c3_1(V)) | c3_1(W) | c1_1(W) | c0_1(W))) | c0_1(a2000) | c1_1(a2000) | c3_1(a2000) | c1_1(a1983) | (~ndr1_0) | c2_1(a1983) | (~c3_1(a1983)) | c1_1(a1991) | (~c0_1(a1991)) | (~c2_1(a1991))),
% 0.85/0.84 inference(modus_ponens,[status(thm)],[1444, 1443])).
% 0.85/0.84 tff(1446,plain,
% 0.85/0.84 (c2_1(a1983)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1445, 162, 1269, 1254, 1439, 1176, 1253, 1175, 1438, 586, 1261])).
% 0.85/0.84 tff(1447,plain,
% 0.85/0.84 (~c0_1(a1983)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[492, 1437])).
% 0.85/0.84 tff(1448,plain,
% 0.85/0.84 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c3_1(a1991) | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c3_1(a1983)) | (~c0_1(a1991)) | (~c2_1(a1991)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c3_1(a1991) | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c3_1(a1983)) | (~c0_1(a1991)) | (~c2_1(a1991)))),
% 0.85/0.84 inference(rewrite,[status(thm)],[])).
% 0.85/0.84 tff(1449,plain,
% 0.85/0.84 ((hskp5 | (~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c0_1(a1991)) | c1_1(a1983) | c0_1(a1983) | (~c3_1(a1983))) <=> (hskp5 | c3_1(a1991) | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c3_1(a1983)) | (~c0_1(a1991)) | (~c2_1(a1991)))),
% 0.85/0.84 inference(rewrite,[status(thm)],[])).
% 0.85/0.84 tff(1450,plain,
% 0.85/0.84 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c0_1(a1991)) | c1_1(a1983) | c0_1(a1983) | (~c3_1(a1983)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c3_1(a1991) | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c3_1(a1983)) | (~c0_1(a1991)) | (~c2_1(a1991))))),
% 0.85/0.84 inference(monotonicity,[status(thm)],[1449])).
% 0.85/0.84 tff(1451,plain,
% 0.85/0.84 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c0_1(a1991)) | c1_1(a1983) | c0_1(a1983) | (~c3_1(a1983)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c3_1(a1991) | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c3_1(a1983)) | (~c0_1(a1991)) | (~c2_1(a1991)))),
% 0.85/0.84 inference(transitivity,[status(thm)],[1450, 1448])).
% 0.85/0.84 tff(1452,plain,
% 0.85/0.84 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c0_1(a1991)) | c1_1(a1983) | c0_1(a1983) | (~c3_1(a1983)))),
% 0.85/0.84 inference(quant_inst,[status(thm)],[])).
% 0.85/0.84 tff(1453,plain,
% 0.85/0.84 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c3_1(a1991) | c0_1(a1983) | c1_1(a1983) | (~ndr1_0) | (~c3_1(a1983)) | (~c0_1(a1991)) | (~c2_1(a1991))),
% 0.85/0.84 inference(modus_ponens,[status(thm)],[1452, 1451])).
% 0.85/0.84 tff(1454,plain,
% 0.85/0.84 (hskp5),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1453, 162, 1269, 1254, 1439, 1252, 1447, 1438, 543])).
% 0.85/0.84 tff(1455,plain,
% 0.85/0.84 (~c2_1(a1977)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[174, 1454])).
% 0.85/0.84 tff(1456,plain,
% 0.85/0.84 (c1_1(a1977)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[187, 1454])).
% 0.85/0.84 tff(1457,plain,
% 0.85/0.84 (((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (c0_1(a1983) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c2_1(a1983)) | (~c3_1(a1983)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | c0_1(a1983) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c2_1(a1983)) | (~c3_1(a1983)))),
% 0.85/0.84 inference(rewrite,[status(thm)],[])).
% 0.85/0.84 tff(1458,plain,
% 0.85/0.84 (((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c0_1(a1983) | (~c2_1(a1983)) | (~c3_1(a1983))) <=> (c0_1(a1983) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c2_1(a1983)) | (~c3_1(a1983)))),
% 0.85/0.84 inference(rewrite,[status(thm)],[])).
% 0.85/0.84 tff(1459,plain,
% 0.85/0.84 (((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c0_1(a1983) | (~c2_1(a1983)) | (~c3_1(a1983)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | (c0_1(a1983) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c2_1(a1983)) | (~c3_1(a1983))))),
% 0.85/0.84 inference(monotonicity,[status(thm)],[1458])).
% 0.85/0.84 tff(1460,plain,
% 0.85/0.84 (((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c0_1(a1983) | (~c2_1(a1983)) | (~c3_1(a1983)))) <=> ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | c0_1(a1983) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c2_1(a1983)) | (~c3_1(a1983)))),
% 0.85/0.84 inference(transitivity,[status(thm)],[1459, 1457])).
% 0.85/0.84 tff(1461,plain,
% 0.85/0.84 ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | ((~ndr1_0) | c2_1(a1977) | (~c1_1(a1977)) | (~c0_1(a1977)) | c0_1(a1983) | (~c2_1(a1983)) | (~c3_1(a1983)))),
% 0.85/0.84 inference(quant_inst,[status(thm)],[])).
% 0.85/0.84 tff(1462,plain,
% 0.85/0.84 ((~![V: $i, U: $i] : ((~ndr1_0) | c2_1(U) | (~c1_1(U)) | (~c0_1(U)) | c0_1(V) | (~c2_1(V)) | (~c3_1(V)))) | c0_1(a1983) | c2_1(a1977) | (~ndr1_0) | (~c1_1(a1977)) | (~c0_1(a1977)) | (~c2_1(a1983)) | (~c3_1(a1983))),
% 0.85/0.84 inference(modus_ponens,[status(thm)],[1461, 1460])).
% 0.85/0.84 tff(1463,plain,
% 0.85/0.84 (~c0_1(a1977)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1462, 162, 1439, 1456, 1447, 1455, 962, 1446])).
% 0.85/0.84 tff(1464,plain,
% 0.85/0.84 (~c3_1(a1977)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[211, 1454])).
% 0.85/0.84 tff(1465,plain,
% 0.85/0.84 ($false),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1405, 162, 1102, 1091, 1131, 1455, 1464, 20, 1463])).
% 0.85/0.84 tff(1466,plain,(hskp4), inference(lemma,lemma(discharge,[]))).
% 0.85/0.84 tff(1467,plain,
% 0.85/0.84 (~c2_1(a1975)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[108, 1466])).
% 0.85/0.84 tff(1468,plain,
% 0.85/0.84 (~c1_1(a1975)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[114, 1466])).
% 0.85/0.84 tff(1469,plain,
% 0.85/0.84 (c0_1(a1975)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[135, 1466])).
% 0.85/0.84 tff(1470,plain,
% 0.85/0.84 (~hskp5),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1424, 1468, 1469, 1467])).
% 0.85/0.84 tff(1471,plain,
% 0.85/0.84 (hskp10),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[1068, 1470, 1439, 1438, 1447])).
% 0.85/0.84 tff(1472,plain,
% 0.85/0.84 (~c1_1(a1987)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[373, 1471])).
% 0.85/0.84 tff(1473,plain,
% 0.85/0.84 (c3_1(a1987)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[412, 1471])).
% 0.85/0.84 tff(1474,plain,
% 0.85/0.84 (c2_1(a1987)),
% 0.85/0.84 inference(unit_resolution,[status(thm)],[384, 1471])).
% 0.85/0.84 tff(1475,plain,
% 0.85/0.84 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | (c1_1(a1987) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c2_1(a1987)) | (~c3_1(a1987)) | (~c0_1(a1987)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | c1_1(a1987) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c2_1(a1987)) | (~c3_1(a1987)) | (~c0_1(a1987)))),
% 0.85/0.85 inference(rewrite,[status(thm)],[])).
% 0.85/0.85 tff(1476,plain,
% 0.85/0.85 (((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1987) | (~c2_1(a1987)) | (~c0_1(a1987)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975))) <=> (c1_1(a1987) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c2_1(a1987)) | (~c3_1(a1987)) | (~c0_1(a1987)))),
% 0.85/0.85 inference(rewrite,[status(thm)],[])).
% 0.85/0.85 tff(1477,plain,
% 0.85/0.85 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1987) | (~c2_1(a1987)) | (~c0_1(a1987)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | (c1_1(a1987) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c2_1(a1987)) | (~c3_1(a1987)) | (~c0_1(a1987))))),
% 0.85/0.85 inference(monotonicity,[status(thm)],[1476])).
% 0.85/0.85 tff(1478,plain,
% 0.85/0.85 (((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1987) | (~c2_1(a1987)) | (~c0_1(a1987)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)))) <=> ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | c1_1(a1987) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c2_1(a1987)) | (~c3_1(a1987)) | (~c0_1(a1987)))),
% 0.85/0.85 inference(transitivity,[status(thm)],[1477, 1475])).
% 0.85/0.85 tff(1479,plain,
% 0.85/0.85 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | ((~ndr1_0) | c1_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)) | c1_1(a1987) | (~c2_1(a1987)) | (~c0_1(a1987)) | c1_1(a1975) | c2_1(a1975) | (~c0_1(a1975)))),
% 0.85/0.85 inference(quant_inst,[status(thm)],[])).
% 0.85/0.85 tff(1480,plain,
% 0.85/0.85 ((~![W: $i, V: $i, U: $i] : ((~ndr1_0) | c1_1(U) | (~c2_1(U)) | (~c3_1(U)) | c1_1(V) | (~c2_1(V)) | (~c0_1(V)) | c1_1(W) | c2_1(W) | (~c0_1(W)))) | c1_1(a1987) | c1_1(a1975) | c2_1(a1975) | (~ndr1_0) | (~c0_1(a1975)) | (~c2_1(a1987)) | (~c3_1(a1987)) | (~c0_1(a1987))),
% 0.85/0.85 inference(modus_ponens,[status(thm)],[1479, 1478])).
% 0.85/0.85 tff(1481,plain,
% 0.85/0.85 (~c0_1(a1987)),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[1480, 162, 1474, 1473, 1469, 1472, 1468, 1467, 10])).
% 0.85/0.85 tff(1482,assumption,(hskp13), introduced(assumption)).
% 0.85/0.85 tff(1483,plain,
% 0.85/0.85 (~c3_1(a1991)),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[1141, 1482])).
% 0.85/0.85 tff(1484,plain,
% 0.85/0.85 (c2_1(a1991)),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[1152, 1482])).
% 0.85/0.85 tff(1485,plain,
% 0.85/0.85 (c0_1(a1991)),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[1163, 1482])).
% 0.85/0.85 tff(1486,plain,
% 0.85/0.85 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c3_1(a1991) | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | c0_1(a1987) | (~c0_1(a1991)) | (~c2_1(a1991)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c3_1(a1991) | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | c0_1(a1987) | (~c0_1(a1991)) | (~c2_1(a1991)))),
% 0.85/0.85 inference(rewrite,[status(thm)],[])).
% 0.85/0.85 tff(1487,plain,
% 0.85/0.85 ((hskp5 | (~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c0_1(a1991)) | c1_1(a1987) | c0_1(a1987) | (~c3_1(a1987))) <=> (hskp5 | c3_1(a1991) | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | c0_1(a1987) | (~c0_1(a1991)) | (~c2_1(a1991)))),
% 0.85/0.85 inference(rewrite,[status(thm)],[])).
% 0.85/0.85 tff(1488,plain,
% 0.85/0.85 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c0_1(a1991)) | c1_1(a1987) | c0_1(a1987) | (~c3_1(a1987)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c3_1(a1991) | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | c0_1(a1987) | (~c0_1(a1991)) | (~c2_1(a1991))))),
% 0.85/0.85 inference(monotonicity,[status(thm)],[1487])).
% 0.85/0.85 tff(1489,plain,
% 0.85/0.85 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c0_1(a1991)) | c1_1(a1987) | c0_1(a1987) | (~c3_1(a1987)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c3_1(a1991) | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | c0_1(a1987) | (~c0_1(a1991)) | (~c2_1(a1991)))),
% 0.85/0.85 inference(transitivity,[status(thm)],[1488, 1486])).
% 0.85/0.85 tff(1490,plain,
% 0.85/0.85 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | (~c2_1(a1991)) | c3_1(a1991) | (~c0_1(a1991)) | c1_1(a1987) | c0_1(a1987) | (~c3_1(a1987)))),
% 0.85/0.85 inference(quant_inst,[status(thm)],[])).
% 0.85/0.85 tff(1491,plain,
% 0.85/0.85 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c3_1(a1991) | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | c0_1(a1987) | (~c0_1(a1991)) | (~c2_1(a1991))),
% 0.85/0.85 inference(modus_ponens,[status(thm)],[1490, 1489])).
% 0.85/0.85 tff(1492,plain,
% 0.85/0.85 ($false),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[1491, 162, 1470, 1485, 1484, 1473, 1483, 1472, 543, 1481])).
% 0.85/0.85 tff(1493,plain,(~hskp13), inference(lemma,lemma(discharge,[]))).
% 0.85/0.85 tff(1494,plain,
% 0.85/0.85 (^[U: $i] : refl((hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))) <=> (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))))),
% 0.85/0.85 inference(bind,[status(th)],[])).
% 0.85/0.85 tff(1495,plain,
% 0.85/0.85 (![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))) <=> ![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 0.85/0.85 inference(quant_intro,[status(thm)],[1494])).
% 0.85/0.85 tff(1496,plain,
% 0.85/0.85 (![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))) <=> ![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 0.85/0.85 inference(rewrite,[status(thm)],[])).
% 0.85/0.85 tff(1497,plain,
% 0.85/0.85 (^[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)) | hskp13) <=> (((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp13))), rewrite((((~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp13) <=> (hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))), ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp13) <=> (hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp13) | hskp20) <=> ((hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp20))), rewrite(((hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U))) | hskp20) <=> (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))), (((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp13) | hskp20) <=> (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))))),
% 0.85/0.85 inference(bind,[status(th)],[])).
% 0.85/0.85 tff(1498,plain,
% 0.85/0.85 (![U: $i] : ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp13) | hskp20) <=> ![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 0.85/0.85 inference(quant_intro,[status(thm)],[1497])).
% 0.85/0.85 tff(1499,axiom,(![U: $i] : ((((((~c2_1(U)) | (~c3_1(U))) | (~ndr1_0)) | c0_1(U)) | hskp13) | hskp20)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause144')).
% 0.85/0.85 tff(1500,plain,
% 0.85/0.85 (![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 0.85/0.85 inference(modus_ponens,[status(thm)],[1499, 1498])).
% 0.85/0.85 tff(1501,plain,
% 0.85/0.85 (![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 0.85/0.85 inference(modus_ponens,[status(thm)],[1500, 1496])).
% 0.85/0.85 tff(1502,plain,(
% 0.85/0.85 ![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 0.85/0.85 inference(skolemize,[status(sab)],[1501])).
% 0.85/0.85 tff(1503,plain,
% 0.85/0.85 (![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))),
% 0.85/0.85 inference(modus_ponens,[status(thm)],[1502, 1495])).
% 0.85/0.85 tff(1504,plain,
% 0.85/0.85 (((~![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp20 | hskp13 | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | c0_1(a1987))) <=> ((~![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp20 | hskp13 | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | c0_1(a1987))),
% 0.85/0.85 inference(rewrite,[status(thm)],[])).
% 0.85/0.85 tff(1505,plain,
% 0.85/0.85 ((hskp20 | hskp13 | (~ndr1_0) | c0_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987))) <=> (hskp20 | hskp13 | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | c0_1(a1987))),
% 0.85/0.85 inference(rewrite,[status(thm)],[])).
% 0.85/0.85 tff(1506,plain,
% 0.85/0.85 (((~![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp20 | hskp13 | (~ndr1_0) | c0_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)))) <=> ((~![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp20 | hskp13 | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | c0_1(a1987)))),
% 0.85/0.85 inference(monotonicity,[status(thm)],[1505])).
% 0.85/0.85 tff(1507,plain,
% 0.85/0.85 (((~![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp20 | hskp13 | (~ndr1_0) | c0_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)))) <=> ((~![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp20 | hskp13 | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | c0_1(a1987))),
% 0.85/0.85 inference(transitivity,[status(thm)],[1506, 1504])).
% 0.85/0.85 tff(1508,plain,
% 0.85/0.85 ((~![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | (hskp20 | hskp13 | (~ndr1_0) | c0_1(a1987) | (~c2_1(a1987)) | (~c3_1(a1987)))),
% 0.85/0.85 inference(quant_inst,[status(thm)],[])).
% 0.85/0.85 tff(1509,plain,
% 0.85/0.85 ((~![U: $i] : (hskp20 | hskp13 | (~ndr1_0) | c0_1(U) | (~c2_1(U)) | (~c3_1(U)))) | hskp20 | hskp13 | (~ndr1_0) | (~c2_1(a1987)) | (~c3_1(a1987)) | c0_1(a1987)),
% 0.85/0.85 inference(modus_ponens,[status(thm)],[1508, 1507])).
% 0.85/0.85 tff(1510,plain,
% 0.85/0.85 (hskp20 | hskp13 | c0_1(a1987)),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[1509, 162, 1474, 1473, 1503])).
% 0.85/0.85 tff(1511,plain,
% 0.85/0.85 (hskp20),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[1510, 1493, 1481])).
% 0.85/0.85 tff(1512,plain,
% 0.85/0.85 (~c3_1(a2003)),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[804, 1511])).
% 0.85/0.85 tff(1513,plain,
% 0.85/0.85 (c2_1(a2003)),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[779, 1511])).
% 0.85/0.85 tff(1514,plain,
% 0.85/0.85 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c3_1(a2003) | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | c0_1(a1987) | (~c0_1(a2003)) | (~c2_1(a2003)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c3_1(a2003) | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | c0_1(a1987) | (~c0_1(a2003)) | (~c2_1(a2003)))),
% 0.85/0.85 inference(rewrite,[status(thm)],[])).
% 0.85/0.85 tff(1515,plain,
% 0.85/0.85 ((hskp5 | (~ndr1_0) | (~c2_1(a2003)) | c3_1(a2003) | (~c0_1(a2003)) | c1_1(a1987) | c0_1(a1987) | (~c3_1(a1987))) <=> (hskp5 | c3_1(a2003) | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | c0_1(a1987) | (~c0_1(a2003)) | (~c2_1(a2003)))),
% 0.85/0.85 inference(rewrite,[status(thm)],[])).
% 0.85/0.85 tff(1516,plain,
% 0.85/0.85 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | (~c2_1(a2003)) | c3_1(a2003) | (~c0_1(a2003)) | c1_1(a1987) | c0_1(a1987) | (~c3_1(a1987)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | c3_1(a2003) | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | c0_1(a1987) | (~c0_1(a2003)) | (~c2_1(a2003))))),
% 0.85/0.85 inference(monotonicity,[status(thm)],[1515])).
% 0.85/0.85 tff(1517,plain,
% 0.85/0.85 (((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | (~c2_1(a2003)) | c3_1(a2003) | (~c0_1(a2003)) | c1_1(a1987) | c0_1(a1987) | (~c3_1(a1987)))) <=> ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c3_1(a2003) | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | c0_1(a1987) | (~c0_1(a2003)) | (~c2_1(a2003)))),
% 0.85/0.85 inference(transitivity,[status(thm)],[1516, 1514])).
% 0.85/0.85 tff(1518,plain,
% 0.85/0.85 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | (hskp5 | (~ndr1_0) | (~c2_1(a2003)) | c3_1(a2003) | (~c0_1(a2003)) | c1_1(a1987) | c0_1(a1987) | (~c3_1(a1987)))),
% 0.85/0.85 inference(quant_inst,[status(thm)],[])).
% 0.85/0.85 tff(1519,plain,
% 0.85/0.85 ((~![V: $i, U: $i] : (hskp5 | (~ndr1_0) | (~c2_1(U)) | c3_1(U) | (~c0_1(U)) | c1_1(V) | c0_1(V) | (~c3_1(V)))) | hskp5 | c3_1(a2003) | c1_1(a1987) | (~ndr1_0) | (~c3_1(a1987)) | c0_1(a1987) | (~c0_1(a2003)) | (~c2_1(a2003))),
% 0.85/0.85 inference(modus_ponens,[status(thm)],[1518, 1517])).
% 0.85/0.85 tff(1520,plain,
% 0.85/0.85 (~c0_1(a2003)),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[1519, 162, 1470, 1513, 1473, 1512, 1472, 543, 1481])).
% 0.85/0.85 tff(1521,plain,
% 0.85/0.85 (hskp30),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[168, 162, 1470, 1469, 1468, 1467, 125])).
% 0.85/0.85 tff(1522,plain,
% 0.85/0.85 (c0_1(a2005)),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[674, 1521])).
% 0.85/0.85 tff(1523,plain,
% 0.85/0.85 (c2_1(a2005)),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[663, 1521])).
% 0.85/0.85 tff(1524,plain,
% 0.85/0.85 (c3_1(a2005)),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[610, 1521])).
% 0.85/0.85 tff(1525,plain,
% 0.85/0.85 (c1_1(a2005)),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[916, 1524, 1523, 1469, 1468, 1467, 1522])).
% 0.85/0.85 tff(1526,plain,
% 0.85/0.85 (hskp17),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[681, 162, 1522, 1523, 42, 1525])).
% 0.85/0.85 tff(1527,plain,
% 0.85/0.85 (~c0_1(a1998)),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[621, 1526])).
% 0.85/0.85 tff(1528,plain,
% 0.85/0.85 (c3_1(a1998)),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[632, 1526])).
% 0.85/0.85 tff(1529,plain,
% 0.85/0.85 (c1_1(a1998)),
% 0.85/0.85 inference(unit_resolution,[status(thm)],[643, 1526])).
% 0.85/0.85 tff(1530,plain,
% 0.85/0.85 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp13 | c3_1(a2003) | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c1_1(a1998)) | c0_1(a2003) | (~c2_1(a2003)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp13 | c3_1(a2003) | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c1_1(a1998)) | c0_1(a2003) | (~c2_1(a2003)))),
% 0.85/0.85 inference(rewrite,[status(thm)],[])).
% 0.85/0.85 tff(1531,plain,
% 0.85/0.85 ((hskp13 | (~ndr1_0) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998)) | c3_1(a2003) | c0_1(a2003) | (~c2_1(a2003))) <=> (hskp13 | c3_1(a2003) | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c1_1(a1998)) | c0_1(a2003) | (~c2_1(a2003)))),
% 0.85/0.85 inference(rewrite,[status(thm)],[])).
% 0.85/0.85 tff(1532,plain,
% 0.85/0.85 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp13 | (~ndr1_0) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998)) | c3_1(a2003) | c0_1(a2003) | (~c2_1(a2003)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp13 | c3_1(a2003) | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c1_1(a1998)) | c0_1(a2003) | (~c2_1(a2003))))),
% 0.85/0.85 inference(monotonicity,[status(thm)],[1531])).
% 0.85/0.85 tff(1533,plain,
% 0.85/0.85 (((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp13 | (~ndr1_0) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998)) | c3_1(a2003) | c0_1(a2003) | (~c2_1(a2003)))) <=> ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp13 | c3_1(a2003) | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c1_1(a1998)) | c0_1(a2003) | (~c2_1(a2003)))),
% 0.85/0.86 inference(transitivity,[status(thm)],[1532, 1530])).
% 0.85/0.86 tff(1534,plain,
% 0.85/0.86 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | (hskp13 | (~ndr1_0) | c0_1(a1998) | (~c3_1(a1998)) | (~c1_1(a1998)) | c3_1(a2003) | c0_1(a2003) | (~c2_1(a2003)))),
% 0.85/0.86 inference(quant_inst,[status(thm)],[])).
% 0.85/0.86 tff(1535,plain,
% 0.85/0.86 ((~![V: $i, U: $i] : (hskp13 | (~ndr1_0) | c0_1(U) | (~c3_1(U)) | (~c1_1(U)) | c3_1(V) | c0_1(V) | (~c2_1(V)))) | hskp13 | c3_1(a2003) | c0_1(a1998) | (~ndr1_0) | (~c3_1(a1998)) | (~c1_1(a1998)) | c0_1(a2003) | (~c2_1(a2003))),
% 0.85/0.86 inference(modus_ponens,[status(thm)],[1534, 1533])).
% 0.85/0.86 tff(1536,plain,
% 0.85/0.86 ($false),
% 0.85/0.86 inference(unit_resolution,[status(thm)],[1535, 162, 1493, 1513, 1529, 1528, 1512, 1527, 1203, 1520])).
% 0.85/0.86 % SZS output end Proof
%------------------------------------------------------------------------------