TSTP Solution File: SYN082-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN082-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n004.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 23:53:39 EDT 2022
% Result : Unsatisfiable 0.12s 0.38s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SYN082-1 : TPTP v8.1.0. Released v1.0.0.
% 0.09/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Mon Sep 5 01:37:19 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.12/0.38 % SZS status Unsatisfiable
% 0.12/0.38 % SZS output start Proof
% 0.12/0.38 tff(big_f_type, type, (
% 0.12/0.38 big_f: ( $i * $i ) > $o)).
% 0.12/0.38 tff(f_type, type, (
% 0.12/0.38 f: $i > $i)).
% 0.12/0.38 tff(a_type, type, (
% 0.12/0.38 a: $i)).
% 0.12/0.38 tff(g_type, type, (
% 0.12/0.38 g: $i > $i)).
% 0.12/0.38 tff(b_type, type, (
% 0.12/0.38 b: $i)).
% 0.12/0.38 tff(1,plain,
% 0.12/0.38 (^[X: $i] : refl(((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X))) <=> ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(2,plain,
% 0.12/0.38 (![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X))) <=> ![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[1])).
% 0.12/0.38 tff(3,plain,
% 0.12/0.38 (![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X))) <=> ![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(4,plain,
% 0.12/0.38 (^[X: $i] : trans(monotonicity(rewrite(((~big_f(g(X), X)) | (~big_f(a, X))) <=> ((~big_f(a, X)) | (~big_f(g(X), X)))), ((((~big_f(g(X), X)) | (~big_f(a, X))) | (~big_f(a, f(a)))) <=> (((~big_f(a, X)) | (~big_f(g(X), X))) | (~big_f(a, f(a)))))), rewrite((((~big_f(a, X)) | (~big_f(g(X), X))) | (~big_f(a, f(a)))) <=> ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))), ((((~big_f(g(X), X)) | (~big_f(a, X))) | (~big_f(a, f(a)))) <=> ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(5,plain,
% 0.12/0.38 (![X: $i] : (((~big_f(g(X), X)) | (~big_f(a, X))) | (~big_f(a, f(a)))) <=> ![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[4])).
% 0.12/0.38 tff(6,axiom,(![X: $i] : (((~big_f(g(X), X)) | (~big_f(a, X))) | (~big_f(a, f(a))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_8')).
% 0.12/0.38 tff(7,plain,
% 0.12/0.38 (![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[6, 5])).
% 0.12/0.38 tff(8,plain,
% 0.12/0.38 (![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[7, 3])).
% 0.12/0.38 tff(9,plain,(
% 0.12/0.38 ![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))),
% 0.12/0.38 inference(skolemize,[status(sab)],[8])).
% 0.12/0.38 tff(10,plain,
% 0.12/0.38 (![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.12/0.38 tff(11,assumption,(~big_f(a, f(a))), introduced(assumption)).
% 0.12/0.38 tff(12,plain,
% 0.12/0.38 ((big_f(a, b) | big_f(a, f(a))) <=> (big_f(a, b) | big_f(a, f(a)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(13,plain,
% 0.12/0.38 ((big_f(a, f(a)) | big_f(a, b)) <=> (big_f(a, b) | big_f(a, f(a)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(14,axiom,(big_f(a, f(a)) | big_f(a, b)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_2')).
% 0.12/0.38 tff(15,plain,
% 0.12/0.38 (big_f(a, b) | big_f(a, f(a))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 (big_f(a, b) | big_f(a, f(a))),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[15, 12])).
% 0.12/0.38 tff(17,plain,
% 0.12/0.38 (big_f(a, b)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[16, 11])).
% 0.12/0.38 tff(18,plain,
% 0.12/0.38 (^[Y: $i] : refl((big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b))) <=> (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.38 tff(19,plain,
% 0.12/0.38 (![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b))) <=> ![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))),
% 0.12/0.38 inference(quant_intro,[status(thm)],[18])).
% 0.12/0.38 tff(20,plain,
% 0.12/0.38 (![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b))) <=> ![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(21,plain,
% 0.12/0.38 (^[Y: $i] : trans(monotonicity(rewrite((big_f(a, f(a)) | (~big_f(Y, b))) <=> (big_f(a, f(a)) | (~big_f(Y, b)))), (((big_f(a, f(a)) | (~big_f(Y, b))) | big_f(Y, f(a))) <=> ((big_f(a, f(a)) | (~big_f(Y, b))) | big_f(Y, f(a))))), rewrite(((big_f(a, f(a)) | (~big_f(Y, b))) | big_f(Y, f(a))) <=> (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))), (((big_f(a, f(a)) | (~big_f(Y, b))) | big_f(Y, f(a))) <=> (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))))),
% 0.12/0.38 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(22,plain,
% 0.12/0.39 (![Y: $i] : ((big_f(a, f(a)) | (~big_f(Y, b))) | big_f(Y, f(a))) <=> ![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[21])).
% 0.12/0.39 tff(23,axiom,(![Y: $i] : ((big_f(a, f(a)) | (~big_f(Y, b))) | big_f(Y, f(a)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_1')).
% 0.12/0.39 tff(24,plain,
% 0.12/0.39 (![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.12/0.39 tff(25,plain,
% 0.12/0.39 (![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[24, 20])).
% 0.12/0.39 tff(26,plain,(
% 0.12/0.39 ![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))),
% 0.12/0.39 inference(skolemize,[status(sab)],[25])).
% 0.12/0.39 tff(27,plain,
% 0.12/0.39 (![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[26, 19])).
% 0.12/0.39 tff(28,plain,
% 0.12/0.39 (((~![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))) | (big_f(a, f(a)) | (~big_f(a, b)))) <=> ((~![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))) | big_f(a, f(a)) | (~big_f(a, b)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(29,plain,
% 0.12/0.39 ((big_f(a, f(a)) | big_f(a, f(a)) | (~big_f(a, b))) <=> (big_f(a, f(a)) | (~big_f(a, b)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(30,plain,
% 0.12/0.39 (((~![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))) | (big_f(a, f(a)) | big_f(a, f(a)) | (~big_f(a, b)))) <=> ((~![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))) | (big_f(a, f(a)) | (~big_f(a, b))))),
% 0.12/0.39 inference(monotonicity,[status(thm)],[29])).
% 0.12/0.39 tff(31,plain,
% 0.12/0.39 (((~![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))) | (big_f(a, f(a)) | big_f(a, f(a)) | (~big_f(a, b)))) <=> ((~![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))) | big_f(a, f(a)) | (~big_f(a, b)))),
% 0.12/0.39 inference(transitivity,[status(thm)],[30, 28])).
% 0.12/0.39 tff(32,plain,
% 0.12/0.39 ((~![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))) | (big_f(a, f(a)) | big_f(a, f(a)) | (~big_f(a, b)))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(33,plain,
% 0.12/0.39 ((~![Y: $i] : (big_f(a, f(a)) | big_f(Y, f(a)) | (~big_f(Y, b)))) | big_f(a, f(a)) | (~big_f(a, b))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.12/0.39 tff(34,plain,
% 0.12/0.39 ($false),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[33, 27, 17, 11])).
% 0.12/0.39 tff(35,plain,(big_f(a, f(a))), inference(lemma,lemma(discharge,[]))).
% 0.12/0.39 tff(36,plain,
% 0.12/0.39 (((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))) | ((~big_f(a, f(a))) | (~big_f(g(f(a)), f(a))))) <=> ((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))) | (~big_f(a, f(a))) | (~big_f(g(f(a)), f(a))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(37,plain,
% 0.12/0.39 (((~big_f(a, f(a))) | (~big_f(a, f(a))) | (~big_f(g(f(a)), f(a)))) <=> ((~big_f(a, f(a))) | (~big_f(g(f(a)), f(a))))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(38,plain,
% 0.12/0.39 (((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))) | ((~big_f(a, f(a))) | (~big_f(a, f(a))) | (~big_f(g(f(a)), f(a))))) <=> ((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))) | ((~big_f(a, f(a))) | (~big_f(g(f(a)), f(a)))))),
% 0.12/0.39 inference(monotonicity,[status(thm)],[37])).
% 0.12/0.39 tff(39,plain,
% 0.12/0.39 (((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))) | ((~big_f(a, f(a))) | (~big_f(a, f(a))) | (~big_f(g(f(a)), f(a))))) <=> ((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))) | (~big_f(a, f(a))) | (~big_f(g(f(a)), f(a))))),
% 0.12/0.39 inference(transitivity,[status(thm)],[38, 36])).
% 0.12/0.39 tff(40,plain,
% 0.12/0.39 ((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))) | ((~big_f(a, f(a))) | (~big_f(a, f(a))) | (~big_f(g(f(a)), f(a))))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(41,plain,
% 0.12/0.39 ((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | (~big_f(g(X), X)))) | (~big_f(a, f(a))) | (~big_f(g(f(a)), f(a)))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.12/0.39 tff(42,plain,
% 0.12/0.39 (~big_f(g(f(a)), f(a))),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[41, 35, 10])).
% 0.12/0.39 tff(43,plain,
% 0.12/0.39 (^[X: $i] : refl(((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X)) <=> ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X)))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(44,plain,
% 0.12/0.39 (![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X)) <=> ![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[43])).
% 0.12/0.39 tff(45,plain,
% 0.12/0.39 (![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X)) <=> ![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(46,plain,
% 0.12/0.39 (^[X: $i] : trans(monotonicity(rewrite((big_f(g(X), X) | (~big_f(a, X))) <=> ((~big_f(a, X)) | big_f(g(X), X))), (((big_f(g(X), X) | (~big_f(a, X))) | (~big_f(a, f(a)))) <=> (((~big_f(a, X)) | big_f(g(X), X)) | (~big_f(a, f(a)))))), rewrite((((~big_f(a, X)) | big_f(g(X), X)) | (~big_f(a, f(a)))) <=> ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))), (((big_f(g(X), X) | (~big_f(a, X))) | (~big_f(a, f(a)))) <=> ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))))),
% 0.12/0.39 inference(bind,[status(th)],[])).
% 0.12/0.39 tff(47,plain,
% 0.12/0.39 (![X: $i] : ((big_f(g(X), X) | (~big_f(a, X))) | (~big_f(a, f(a)))) <=> ![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))),
% 0.12/0.39 inference(quant_intro,[status(thm)],[46])).
% 0.12/0.39 tff(48,axiom,(![X: $i] : ((big_f(g(X), X) | (~big_f(a, X))) | (~big_f(a, f(a))))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_5')).
% 0.12/0.39 tff(49,plain,
% 0.12/0.39 (![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[48, 47])).
% 0.12/0.39 tff(50,plain,
% 0.12/0.39 (![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[49, 45])).
% 0.12/0.39 tff(51,plain,(
% 0.12/0.39 ![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))),
% 0.12/0.39 inference(skolemize,[status(sab)],[50])).
% 0.12/0.39 tff(52,plain,
% 0.12/0.39 (![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[51, 44])).
% 0.12/0.39 tff(53,plain,
% 0.12/0.39 (((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))) | ((~big_f(a, f(a))) | big_f(g(f(a)), f(a)))) <=> ((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))) | (~big_f(a, f(a))) | big_f(g(f(a)), f(a)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(54,plain,
% 0.12/0.39 (((~big_f(a, f(a))) | (~big_f(a, f(a))) | big_f(g(f(a)), f(a))) <=> ((~big_f(a, f(a))) | big_f(g(f(a)), f(a)))),
% 0.12/0.39 inference(rewrite,[status(thm)],[])).
% 0.12/0.39 tff(55,plain,
% 0.12/0.39 (((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))) | ((~big_f(a, f(a))) | (~big_f(a, f(a))) | big_f(g(f(a)), f(a)))) <=> ((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))) | ((~big_f(a, f(a))) | big_f(g(f(a)), f(a))))),
% 0.12/0.39 inference(monotonicity,[status(thm)],[54])).
% 0.12/0.39 tff(56,plain,
% 0.12/0.39 (((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))) | ((~big_f(a, f(a))) | (~big_f(a, f(a))) | big_f(g(f(a)), f(a)))) <=> ((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))) | (~big_f(a, f(a))) | big_f(g(f(a)), f(a)))),
% 0.12/0.39 inference(transitivity,[status(thm)],[55, 53])).
% 0.12/0.39 tff(57,plain,
% 0.12/0.39 ((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))) | ((~big_f(a, f(a))) | (~big_f(a, f(a))) | big_f(g(f(a)), f(a)))),
% 0.12/0.39 inference(quant_inst,[status(thm)],[])).
% 0.12/0.39 tff(58,plain,
% 0.12/0.39 ((~![X: $i] : ((~big_f(a, f(a))) | (~big_f(a, X)) | big_f(g(X), X))) | (~big_f(a, f(a))) | big_f(g(f(a)), f(a))),
% 0.12/0.39 inference(modus_ponens,[status(thm)],[57, 56])).
% 0.12/0.39 tff(59,plain,
% 0.12/0.39 ($false),
% 0.12/0.39 inference(unit_resolution,[status(thm)],[58, 35, 52, 42])).
% 0.12/0.39 % SZS output end Proof
%------------------------------------------------------------------------------