TSTP Solution File: SYN072-1 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN072-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n015.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 23:53:32 EDT 2022
% Result : Unsatisfiable 0.21s 0.39s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN072-1 : TPTP v8.1.0. Released v1.0.0.
% 0.13/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n015.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 01:46:27 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.21/0.35 Usage: tptp [options] [-file:]file
% 0.21/0.35 -h, -? prints this message.
% 0.21/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.21/0.35 -m, -model generate model.
% 0.21/0.35 -p, -proof generate proof.
% 0.21/0.35 -c, -core generate unsat core of named formulas.
% 0.21/0.35 -st, -statistics display statistics.
% 0.21/0.35 -t:timeout set timeout (in second).
% 0.21/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.21/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.21/0.35 -<param>:<value> configuration parameter and value.
% 0.21/0.35 -o:<output-file> file to place output in.
% 0.21/0.39 % SZS status Unsatisfiable
% 0.21/0.39 % SZS output start Proof
% 0.21/0.39 tff(big_p_type, type, (
% 0.21/0.39 big_p: $i > $o)).
% 0.21/0.39 tff(a_type, type, (
% 0.21/0.39 a: $i)).
% 0.21/0.39 tff(e_type, type, (
% 0.21/0.39 e: $i)).
% 0.21/0.39 tff(d_type, type, (
% 0.21/0.39 d: $i)).
% 0.21/0.39 tff(c_type, type, (
% 0.21/0.39 c: $i)).
% 0.21/0.39 tff(b_type, type, (
% 0.21/0.39 b: $i)).
% 0.21/0.39 tff(1,assumption,(e = c), introduced(assumption)).
% 0.21/0.39 tff(2,plain,
% 0.21/0.39 (c = e),
% 0.21/0.39 inference(symmetry,[status(thm)],[1])).
% 0.21/0.39 tff(3,assumption,(b = c), introduced(assumption)).
% 0.21/0.39 tff(4,plain,
% 0.21/0.39 (b = e),
% 0.21/0.39 inference(transitivity,[status(thm)],[3, 2])).
% 0.21/0.39 tff(5,plain,
% 0.21/0.39 (big_p(b) <=> big_p(e)),
% 0.21/0.39 inference(monotonicity,[status(thm)],[4])).
% 0.21/0.39 tff(6,plain,
% 0.21/0.39 (big_p(e) <=> big_p(b)),
% 0.21/0.39 inference(symmetry,[status(thm)],[5])).
% 0.21/0.39 tff(7,plain,
% 0.21/0.39 ((~big_p(e)) <=> (~big_p(b))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[6])).
% 0.21/0.39 tff(8,plain,
% 0.21/0.39 ((~big_p(e)) <=> (~big_p(e))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(9,axiom,(~big_p(e)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_this')).
% 0.21/0.39 tff(10,plain,
% 0.21/0.39 (~big_p(e)),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.21/0.39 tff(11,plain,
% 0.21/0.39 (~big_p(b)),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[10, 7])).
% 0.21/0.39 tff(12,plain,
% 0.21/0.39 (big_p(b) <=> big_p(b)),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(13,axiom,(big_p(b)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_3')).
% 0.21/0.39 tff(14,plain,
% 0.21/0.39 (big_p(b)),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[13, 12])).
% 0.21/0.39 tff(15,plain,
% 0.21/0.39 ($false),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[14, 11])).
% 0.21/0.39 tff(16,plain,((~(b = c)) | (~(e = c))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.39 tff(17,plain,
% 0.21/0.39 (~(b = c)),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[16, 1])).
% 0.21/0.39 tff(18,plain,
% 0.21/0.39 (![X: $i] : ((X = c) | (X = d)) <=> ![X: $i] : ((X = c) | (X = d))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(19,axiom,(![X: $i] : ((X = c) | (X = d))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_1')).
% 0.21/0.39 tff(20,plain,
% 0.21/0.39 (![X: $i] : ((X = c) | (X = d))),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.21/0.39 tff(21,plain,(
% 0.21/0.39 ![X: $i] : ((X = c) | (X = d))),
% 0.21/0.39 inference(skolemize,[status(sab)],[20])).
% 0.21/0.39 tff(22,plain,
% 0.21/0.39 (((~![X: $i] : ((X = c) | (X = d))) | ((b = c) | (b = d))) <=> ((~![X: $i] : ((X = c) | (X = d))) | (b = c) | (b = d))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(23,plain,
% 0.21/0.39 ((~![X: $i] : ((X = c) | (X = d))) | ((b = c) | (b = d))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(24,plain,
% 0.21/0.39 ((~![X: $i] : ((X = c) | (X = d))) | (b = c) | (b = d)),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.21/0.39 tff(25,plain,
% 0.21/0.39 ((b = c) | (b = d)),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[24, 21])).
% 0.21/0.39 tff(26,plain,
% 0.21/0.39 (b = d),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[25, 17])).
% 0.21/0.39 tff(27,plain,
% 0.21/0.39 ((a = b) <=> (a = d)),
% 0.21/0.39 inference(monotonicity,[status(thm)],[26])).
% 0.21/0.39 tff(28,plain,
% 0.21/0.39 ((~(a = b)) <=> (~(a = d))),
% 0.21/0.39 inference(monotonicity,[status(thm)],[27])).
% 0.21/0.39 tff(29,plain,
% 0.21/0.39 ((~(a = b)) <=> (~(a = b))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(30,axiom,(~(a = b)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_4')).
% 0.21/0.39 tff(31,plain,
% 0.21/0.39 (~(a = b)),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.21/0.39 tff(32,plain,
% 0.21/0.39 (~(a = d)),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[31, 28])).
% 0.21/0.39 tff(33,plain,
% 0.21/0.39 (((~![X: $i] : ((X = c) | (X = d))) | ((a = c) | (a = d))) <=> ((~![X: $i] : ((X = c) | (X = d))) | (a = c) | (a = d))),
% 0.21/0.39 inference(rewrite,[status(thm)],[])).
% 0.21/0.39 tff(34,plain,
% 0.21/0.39 ((~![X: $i] : ((X = c) | (X = d))) | ((a = c) | (a = d))),
% 0.21/0.39 inference(quant_inst,[status(thm)],[])).
% 0.21/0.39 tff(35,plain,
% 0.21/0.39 ((~![X: $i] : ((X = c) | (X = d))) | (a = c) | (a = d)),
% 0.21/0.39 inference(modus_ponens,[status(thm)],[34, 33])).
% 0.21/0.39 tff(36,plain,
% 0.21/0.39 ((a = c) | (a = d)),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[35, 21])).
% 0.21/0.39 tff(37,plain,
% 0.21/0.39 (a = c),
% 0.21/0.39 inference(unit_resolution,[status(thm)],[36, 32])).
% 0.21/0.39 tff(38,plain,
% 0.21/0.39 (a = e),
% 0.21/0.39 inference(transitivity,[status(thm)],[37, 2])).
% 0.21/0.39 tff(39,plain,
% 0.21/0.39 (big_p(a) <=> big_p(e)),
% 0.21/0.39 inference(monotonicity,[status(thm)],[38])).
% 0.21/0.39 tff(40,plain,
% 0.21/0.39 (big_p(e) <=> big_p(a)),
% 0.21/0.39 inference(symmetry,[status(thm)],[39])).
% 0.21/0.40 tff(41,plain,
% 0.21/0.40 ((~big_p(e)) <=> (~big_p(a))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[40])).
% 0.21/0.40 tff(42,plain,
% 0.21/0.40 (~big_p(a)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[10, 41])).
% 0.21/0.40 tff(43,plain,
% 0.21/0.40 (big_p(a) <=> big_p(a)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(44,axiom,(big_p(a)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_2')).
% 0.21/0.40 tff(45,plain,
% 0.21/0.40 (big_p(a)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.21/0.40 tff(46,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[45, 42])).
% 0.21/0.40 tff(47,plain,(~(e = c)), inference(lemma,lemma(discharge,[]))).
% 0.21/0.40 tff(48,plain,
% 0.21/0.40 (((~![X: $i] : ((X = c) | (X = d))) | ((e = c) | (e = d))) <=> ((~![X: $i] : ((X = c) | (X = d))) | (e = c) | (e = d))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(49,plain,
% 0.21/0.40 ((~![X: $i] : ((X = c) | (X = d))) | ((e = c) | (e = d))),
% 0.21/0.40 inference(quant_inst,[status(thm)],[])).
% 0.21/0.40 tff(50,plain,
% 0.21/0.40 ((~![X: $i] : ((X = c) | (X = d))) | (e = c) | (e = d)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.21/0.40 tff(51,plain,
% 0.21/0.40 ((e = c) | (e = d)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[50, 21])).
% 0.21/0.40 tff(52,plain,
% 0.21/0.40 (e = d),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[51, 47])).
% 0.21/0.40 tff(53,plain,
% 0.21/0.40 (d = e),
% 0.21/0.40 inference(symmetry,[status(thm)],[52])).
% 0.21/0.40 tff(54,assumption,(b = d), introduced(assumption)).
% 0.21/0.40 tff(55,plain,
% 0.21/0.40 (d = b),
% 0.21/0.40 inference(symmetry,[status(thm)],[54])).
% 0.21/0.40 tff(56,assumption,(e = d), introduced(assumption)).
% 0.21/0.40 tff(57,plain,
% 0.21/0.40 (e = b),
% 0.21/0.40 inference(transitivity,[status(thm)],[56, 55])).
% 0.21/0.40 tff(58,plain,
% 0.21/0.40 (big_p(e) <=> big_p(b)),
% 0.21/0.40 inference(monotonicity,[status(thm)],[57])).
% 0.21/0.40 tff(59,plain,
% 0.21/0.40 (big_p(b) <=> big_p(e)),
% 0.21/0.40 inference(symmetry,[status(thm)],[58])).
% 0.21/0.40 tff(60,plain,
% 0.21/0.40 (big_p(e)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[14, 59])).
% 0.21/0.40 tff(61,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[10, 60])).
% 0.21/0.40 tff(62,plain,((~(e = d)) | (~(b = d))), inference(lemma,lemma(discharge,[]))).
% 0.21/0.40 tff(63,plain,
% 0.21/0.40 (~(b = d)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[62, 52])).
% 0.21/0.40 tff(64,plain,
% 0.21/0.40 (b = c),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[25, 63])).
% 0.21/0.40 tff(65,plain,
% 0.21/0.40 ((a = b) <=> (a = c)),
% 0.21/0.40 inference(monotonicity,[status(thm)],[64])).
% 0.21/0.40 tff(66,plain,
% 0.21/0.40 ((~(a = b)) <=> (~(a = c))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[65])).
% 0.21/0.40 tff(67,plain,
% 0.21/0.40 (~(a = c)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[31, 66])).
% 0.21/0.40 tff(68,plain,
% 0.21/0.40 (a = d),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[36, 67])).
% 0.21/0.40 tff(69,plain,
% 0.21/0.40 (a = e),
% 0.21/0.40 inference(transitivity,[status(thm)],[68, 53])).
% 0.21/0.40 tff(70,plain,
% 0.21/0.40 (big_p(a) <=> big_p(e)),
% 0.21/0.40 inference(monotonicity,[status(thm)],[69])).
% 0.21/0.40 tff(71,plain,
% 0.21/0.40 (big_p(e) <=> big_p(a)),
% 0.21/0.40 inference(symmetry,[status(thm)],[70])).
% 0.21/0.40 tff(72,plain,
% 0.21/0.40 ((~big_p(e)) <=> (~big_p(a))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[71])).
% 0.21/0.40 tff(73,plain,
% 0.21/0.40 (~big_p(a)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[10, 72])).
% 0.21/0.40 tff(74,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[45, 73])).
% 0.21/0.40 % SZS output end Proof
%------------------------------------------------------------------------------