TSTP Solution File: SYN029-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN029-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n007.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 23:53:12 EDT 2022
% Result : Unsatisfiable 0.13s 0.38s
% Output : Proof 0.13s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : SYN029-1 : TPTP v8.1.0. Released v1.0.0.
% 0.10/0.13 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.13/0.34 % Computer : n007.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 00:50:35 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.
% 0.13/0.38 % SZS status Unsatisfiable
% 0.13/0.38 % SZS output start Proof
% 0.13/0.38 tff(q_type, type, (
% 0.13/0.38 q: $o)).
% 0.13/0.38 tff(p_type, type, (
% 0.13/0.38 p: $o)).
% 0.13/0.38 tff(r_type, type, (
% 0.13/0.38 r: $o)).
% 0.13/0.38 tff(1,assumption,(~q), introduced(assumption)).
% 0.13/0.38 tff(2,plain,
% 0.13/0.38 ((q | p) <=> (q | p)),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(3,axiom,(q | p), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause1')).
% 0.13/0.38 tff(4,plain,
% 0.13/0.38 (q | p),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.13/0.38 tff(5,plain,
% 0.13/0.38 (q | p),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[4, 2])).
% 0.13/0.38 tff(6,plain,
% 0.13/0.38 (q | p),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[5, 2])).
% 0.13/0.38 tff(7,plain,
% 0.13/0.38 (q | p),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[6, 2])).
% 0.13/0.38 tff(8,plain,
% 0.13/0.38 (q | p),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[7, 2])).
% 0.13/0.38 tff(9,plain,
% 0.13/0.38 (q | p),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[8, 2])).
% 0.13/0.38 tff(10,plain,
% 0.13/0.38 (q | p),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[9, 2])).
% 0.13/0.38 tff(11,plain,
% 0.13/0.38 (q | p),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[10, 2])).
% 0.13/0.38 tff(12,plain,
% 0.13/0.38 (p),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[11, 1])).
% 0.13/0.38 tff(13,plain,
% 0.13/0.38 (((~p) | q) <=> (q | (~p))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(14,axiom,((~p) | q), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause2')).
% 0.13/0.38 tff(15,plain,
% 0.13/0.38 (q | (~p)),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.13/0.38 tff(16,plain,
% 0.13/0.38 ($false),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[15, 12, 1])).
% 0.13/0.38 tff(17,plain,(q), inference(lemma,lemma(discharge,[]))).
% 0.13/0.38 tff(18,plain,
% 0.13/0.38 ((p | $false | (~q)) <=> (p | (~q))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(19,plain,
% 0.13/0.38 ((~$true) <=> $false),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(20,axiom,(r), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause4')).
% 0.13/0.38 tff(21,plain,
% 0.13/0.38 (r <=> $true),
% 0.13/0.38 inference(iff_true,[status(thm)],[20])).
% 0.13/0.38 tff(22,plain,
% 0.13/0.38 ((~r) <=> (~$true)),
% 0.13/0.38 inference(monotonicity,[status(thm)],[21])).
% 0.13/0.38 tff(23,plain,
% 0.13/0.38 ((~r) <=> $false),
% 0.13/0.38 inference(transitivity,[status(thm)],[22, 19])).
% 0.13/0.38 tff(24,plain,
% 0.13/0.38 ((p | (~r) | (~q)) <=> (p | $false | (~q))),
% 0.13/0.38 inference(monotonicity,[status(thm)],[23])).
% 0.13/0.38 tff(25,plain,
% 0.13/0.38 ((p | (~r) | (~q)) <=> (p | (~q))),
% 0.13/0.38 inference(transitivity,[status(thm)],[24, 18])).
% 0.13/0.38 tff(26,plain,
% 0.13/0.38 ((p | (~r) | (~q)) <=> (p | (~r) | (~q))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(27,plain,
% 0.13/0.38 ((((~r) | (~q)) | p) <=> (p | (~r) | (~q))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(28,plain,
% 0.13/0.38 (((~r) | (~q)) <=> ((~r) | (~q))),
% 0.13/0.38 inference(rewrite,[status(thm)],[])).
% 0.13/0.38 tff(29,plain,
% 0.13/0.38 ((((~r) | (~q)) | p) <=> (((~r) | (~q)) | p)),
% 0.13/0.38 inference(monotonicity,[status(thm)],[28])).
% 0.13/0.38 tff(30,plain,
% 0.13/0.38 ((((~r) | (~q)) | p) <=> (p | (~r) | (~q))),
% 0.13/0.38 inference(transitivity,[status(thm)],[29, 27])).
% 0.13/0.38 tff(31,axiom,(((~r) | (~q)) | p), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','clause3')).
% 0.13/0.38 tff(32,plain,
% 0.13/0.38 (p | (~r) | (~q)),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.13/0.38 tff(33,plain,
% 0.13/0.38 (p | (~r) | (~q)),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[32, 26])).
% 0.13/0.38 tff(34,plain,
% 0.13/0.38 (p | (~q)),
% 0.13/0.38 inference(modus_ponens,[status(thm)],[33, 25])).
% 0.13/0.38 tff(35,plain,
% 0.13/0.38 (p),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[34, 17])).
% 0.13/0.38 tff(36,axiom,((~p) | (~q)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_something')).
% 0.13/0.38 tff(37,plain,
% 0.13/0.38 ($false),
% 0.13/0.38 inference(unit_resolution,[status(thm)],[36, 35, 17])).
% 0.13/0.38 % SZS output end Proof
%------------------------------------------------------------------------------