TSTP Solution File: SYN097-1.002 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN097-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 23:53:44 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
% 0.11/0.11 % Problem : SYN097-1.002 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.11/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n022.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 01:46:54 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(p_1_1_type, type, (
% 0.12/0.38 p_1_1: $o)).
% 0.12/0.38 tff(p_2_2_type, type, (
% 0.12/0.38 p_2_2: $o)).
% 0.12/0.38 tff(u_12_type, type, (
% 0.12/0.38 u_12: $o)).
% 0.12/0.38 tff(u_2_type, type, (
% 0.12/0.38 u_2: $o)).
% 0.12/0.38 tff(p_1_2_type, type, (
% 0.12/0.38 p_1_2: $o)).
% 0.12/0.38 tff(u_1_type, type, (
% 0.12/0.38 u_1: $o)).
% 0.12/0.38 tff(u_10_type, type, (
% 0.12/0.38 u_10: $o)).
% 0.12/0.38 tff(1,assumption,(~p_2_2), introduced(assumption)).
% 0.12/0.38 tff(2,plain,
% 0.12/0.38 ((u_12 | p_2_2) <=> (p_2_2 | u_12)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(3,axiom,(u_12 | p_2_2), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_t2_3')).
% 0.12/0.38 tff(4,plain,
% 0.12/0.38 (p_2_2 | u_12),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.38 tff(5,plain,
% 0.12/0.38 (u_12),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.12/0.38 tff(6,axiom,(p_2_2 | (~u_12)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_12_t2_3')).
% 0.12/0.38 tff(7,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[6, 5, 1])).
% 0.12/0.38 tff(8,plain,(p_2_2), inference(lemma,lemma(discharge,[]))).
% 0.12/0.38 tff(9,plain,
% 0.12/0.38 (((~p_2_2) | (~p_1_1)) <=> ((~p_2_2) | (~p_1_1))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(10,plain,
% 0.12/0.38 (($false | (~p_2_2) | (~p_1_1)) <=> ((~p_2_2) | (~p_1_1))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(11,plain,
% 0.12/0.38 (($false | (~u_2)) <=> (~u_2)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(12,plain,
% 0.12/0.38 (($false | (~p_1_2)) <=> (~p_1_2)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(13,axiom,(~u_1), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_1_s2_goal_1')).
% 0.12/0.38 tff(14,plain,
% 0.12/0.38 (u_1 <=> $false),
% 0.12/0.38 inference(iff_false,[status(thm)],[13])).
% 0.12/0.38 tff(15,plain,
% 0.12/0.38 ((u_1 | (~p_1_2)) <=> ($false | (~p_1_2))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[14])).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 ((u_1 | (~p_1_2)) <=> (~p_1_2)),
% 0.12/0.38 inference(transitivity,[status(thm)],[15, 12])).
% 0.12/0.38 tff(17,axiom,(u_1 | (~p_1_2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s2_goal_1')).
% 0.12/0.38 tff(18,plain,
% 0.12/0.38 (~p_1_2),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[17, 16])).
% 0.12/0.38 tff(19,plain,
% 0.12/0.38 (p_1_2 <=> $false),
% 0.12/0.38 inference(iff_false,[status(thm)],[18])).
% 0.12/0.38 tff(20,plain,
% 0.12/0.38 ((p_1_2 | (~u_2)) <=> ($false | (~u_2))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[19])).
% 0.12/0.38 tff(21,plain,
% 0.12/0.38 ((p_1_2 | (~u_2)) <=> (~u_2)),
% 0.12/0.38 inference(transitivity,[status(thm)],[20, 11])).
% 0.12/0.38 tff(22,axiom,(p_1_2 | (~u_2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_2_s2_type11_1')).
% 0.12/0.38 tff(23,plain,
% 0.12/0.38 (~u_2),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.12/0.38 tff(24,plain,
% 0.12/0.38 (u_2 <=> $false),
% 0.12/0.38 inference(iff_false,[status(thm)],[23])).
% 0.12/0.38 tff(25,plain,
% 0.12/0.38 ((u_2 | (~p_2_2) | (~p_1_1)) <=> ($false | (~p_2_2) | (~p_1_1))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[24])).
% 0.12/0.38 tff(26,plain,
% 0.12/0.38 ((u_2 | (~p_2_2) | (~p_1_1)) <=> ((~p_2_2) | (~p_1_1))),
% 0.12/0.38 inference(transitivity,[status(thm)],[25, 10])).
% 0.12/0.38 tff(27,plain,
% 0.12/0.38 (($false | u_2 | (~p_2_2) | (~p_1_1)) <=> (u_2 | (~p_2_2) | (~p_1_1))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(28,plain,
% 0.12/0.38 ((p_1_2 | u_2 | (~p_2_2) | (~p_1_1)) <=> ($false | u_2 | (~p_2_2) | (~p_1_1))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[19])).
% 0.12/0.38 tff(29,plain,
% 0.12/0.38 ((p_1_2 | u_2 | (~p_2_2) | (~p_1_1)) <=> (u_2 | (~p_2_2) | (~p_1_1))),
% 0.12/0.38 inference(transitivity,[status(thm)],[28, 27])).
% 0.12/0.38 tff(30,plain,
% 0.12/0.38 ((p_1_2 | u_2 | (~p_2_2) | (~p_1_1)) <=> (p_1_2 | u_2 | (~p_2_2) | (~p_1_1))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(31,plain,
% 0.12/0.38 (((p_1_2 | u_2 | (~p_2_2)) | (~p_1_1)) <=> (p_1_2 | u_2 | (~p_2_2) | (~p_1_1))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(32,plain,
% 0.12/0.38 (((p_1_2 | u_2) | (~p_2_2)) <=> (p_1_2 | u_2 | (~p_2_2))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(33,plain,
% 0.12/0.38 ((u_2 | p_1_2) <=> (p_1_2 | u_2)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(34,plain,
% 0.12/0.38 (((u_2 | p_1_2) | (~p_2_2)) <=> ((p_1_2 | u_2) | (~p_2_2))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[33])).
% 0.12/0.38 tff(35,plain,
% 0.12/0.38 (((u_2 | p_1_2) | (~p_2_2)) <=> (p_1_2 | u_2 | (~p_2_2))),
% 0.12/0.38 inference(transitivity,[status(thm)],[34, 32])).
% 0.12/0.38 tff(36,plain,
% 0.12/0.38 ((((u_2 | p_1_2) | (~p_2_2)) | (~p_1_1)) <=> ((p_1_2 | u_2 | (~p_2_2)) | (~p_1_1))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[35])).
% 0.12/0.38 tff(37,plain,
% 0.12/0.38 ((((u_2 | p_1_2) | (~p_2_2)) | (~p_1_1)) <=> (p_1_2 | u_2 | (~p_2_2) | (~p_1_1))),
% 0.12/0.38 inference(transitivity,[status(thm)],[36, 31])).
% 0.12/0.38 tff(38,axiom,(((u_2 | p_1_2) | (~p_2_2)) | (~p_1_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s2_type11_1')).
% 0.12/0.38 tff(39,plain,
% 0.12/0.38 (p_1_2 | u_2 | (~p_2_2) | (~p_1_1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.12/0.38 tff(40,plain,
% 0.12/0.38 (p_1_2 | u_2 | (~p_2_2) | (~p_1_1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[39, 30])).
% 0.12/0.38 tff(41,plain,
% 0.12/0.38 (p_1_2 | u_2 | (~p_2_2) | (~p_1_1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[40, 30])).
% 0.12/0.38 tff(42,plain,
% 0.12/0.38 (p_1_2 | u_2 | (~p_2_2) | (~p_1_1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[41, 30])).
% 0.12/0.38 tff(43,plain,
% 0.12/0.38 (u_2 | (~p_2_2) | (~p_1_1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[42, 29])).
% 0.12/0.38 tff(44,plain,
% 0.12/0.38 ((~p_2_2) | (~p_1_1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[43, 26])).
% 0.12/0.38 tff(45,plain,
% 0.12/0.38 ((~p_2_2) | (~p_1_1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[44, 9])).
% 0.12/0.38 tff(46,plain,
% 0.12/0.38 ((~p_2_2) | (~p_1_1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[45, 9])).
% 0.12/0.38 tff(47,plain,
% 0.12/0.38 ((~p_2_2) | (~p_1_1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[46, 9])).
% 0.12/0.38 tff(48,plain,
% 0.12/0.38 ((~p_2_2) | (~p_1_1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[47, 9])).
% 0.12/0.38 tff(49,plain,
% 0.12/0.38 ((~p_2_2) | (~p_1_1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[48, 9])).
% 0.12/0.38 tff(50,plain,
% 0.12/0.38 (~p_1_1),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[49, 8])).
% 0.12/0.38 tff(51,plain,
% 0.12/0.38 ((u_10 | p_1_1) <=> (p_1_1 | u_10)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(52,axiom,(u_10 | p_1_1), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_t2_1')).
% 0.12/0.38 tff(53,plain,
% 0.12/0.38 (p_1_1 | u_10),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.12/0.38 tff(54,plain,
% 0.12/0.38 (u_10),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[53, 50])).
% 0.12/0.38 tff(55,axiom,(p_1_1 | (~u_10)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_10_t2_1')).
% 0.12/0.38 tff(56,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[55, 54, 50])).
% 0.12/0.38 % SZS output end Proof
%------------------------------------------------------------------------------