TSTP Solution File: SYN032-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : SYN032-1 : 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 0.21s 0.40s
% Output : Proof 0.21s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN032-1 : TPTP v8.1.0. Released v1.0.0.
% 0.03/0.13 % 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 00:51:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.13/0.35 Usage: tptp [options] [-file:]file
% 0.13/0.35 -h, -? prints this message.
% 0.13/0.35 -smt2 print SMT-LIB2 benchmark.
% 0.13/0.35 -m, -model generate model.
% 0.13/0.35 -p, -proof generate proof.
% 0.13/0.35 -c, -core generate unsat core of named formulas.
% 0.13/0.35 -st, -statistics display statistics.
% 0.13/0.35 -t:timeout set timeout (in second).
% 0.13/0.35 -smt2status display status in smt2 format instead of SZS.
% 0.13/0.35 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.13/0.35 -<param>:<value> configuration parameter and value.
% 0.13/0.35 -o:<output-file> file to place output in.
% 0.21/0.40 % SZS status Unsatisfiable
% 0.21/0.40 % SZS output start Proof
% 0.21/0.40 tff(h_type, type, (
% 0.21/0.40 h: $o)).
% 0.21/0.40 tff(j_type, type, (
% 0.21/0.40 j: $o)).
% 0.21/0.40 tff(k_type, type, (
% 0.21/0.40 k: $o)).
% 0.21/0.40 tff(a_type, type, (
% 0.21/0.40 a: $o)).
% 0.21/0.40 tff(b_type, type, (
% 0.21/0.40 b: $o)).
% 0.21/0.40 tff(c_type, type, (
% 0.21/0.40 c: $o)).
% 0.21/0.40 tff(1,assumption,(~h), introduced(assumption)).
% 0.21/0.40 tff(2,assumption,(~j), introduced(assumption)).
% 0.21/0.40 tff(3,plain,
% 0.21/0.40 (((h | k) | j) <=> (h | j | k)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(4,axiom,((h | k) | j), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','four')).
% 0.21/0.40 tff(5,plain,
% 0.21/0.40 (h | j | k),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.21/0.40 tff(6,plain,
% 0.21/0.40 (k),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[5, 2, 1])).
% 0.21/0.40 tff(7,plain,
% 0.21/0.40 (((h | j) | (~k)) <=> (h | j | (~k))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(8,axiom,((h | j) | (~k)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','five')).
% 0.21/0.40 tff(9,plain,
% 0.21/0.40 (h | j | (~k)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.21/0.40 tff(10,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[9, 6, 2, 1])).
% 0.21/0.40 tff(11,plain,(j | h), inference(lemma,lemma(discharge,[]))).
% 0.21/0.40 tff(12,plain,
% 0.21/0.40 (j),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[11, 1])).
% 0.21/0.40 tff(13,assumption,(a), introduced(assumption)).
% 0.21/0.40 tff(14,axiom,(b | (~a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','six')).
% 0.21/0.40 tff(15,plain,
% 0.21/0.40 (b),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.21/0.40 tff(16,axiom,((~a) | (~b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_something')).
% 0.21/0.40 tff(17,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[16, 15, 13])).
% 0.21/0.40 tff(18,plain,(~a), inference(lemma,lemma(discharge,[]))).
% 0.21/0.40 tff(19,plain,
% 0.21/0.40 ((h | a | (~j)) <=> (h | a | (~j))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(20,plain,
% 0.21/0.40 (((h | a) | (~j)) <=> (h | a | (~j))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(21,plain,
% 0.21/0.40 ((h | a) <=> (h | a)),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(22,plain,
% 0.21/0.40 (((h | a) | (~j)) <=> ((h | a) | (~j))),
% 0.21/0.40 inference(monotonicity,[status(thm)],[21])).
% 0.21/0.40 tff(23,plain,
% 0.21/0.40 (((h | a) | (~j)) <=> (h | a | (~j))),
% 0.21/0.40 inference(transitivity,[status(thm)],[22, 20])).
% 0.21/0.40 tff(24,axiom,((h | a) | (~j)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','three')).
% 0.21/0.40 tff(25,plain,
% 0.21/0.40 (h | a | (~j)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.21/0.40 tff(26,plain,
% 0.21/0.40 (h | a | (~j)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[25, 19])).
% 0.21/0.40 tff(27,plain,
% 0.21/0.40 (h | a | (~j)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[26, 19])).
% 0.21/0.40 tff(28,plain,
% 0.21/0.40 (h | a | (~j)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[27, 19])).
% 0.21/0.40 tff(29,plain,
% 0.21/0.40 (h | a | (~j)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[28, 19])).
% 0.21/0.40 tff(30,plain,
% 0.21/0.40 (h | a | (~j)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[29, 19])).
% 0.21/0.40 tff(31,plain,
% 0.21/0.40 (h | (~j)),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[30, 18])).
% 0.21/0.40 tff(32,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[31, 12, 1])).
% 0.21/0.40 tff(33,plain,(h), inference(lemma,lemma(discharge,[]))).
% 0.21/0.40 tff(34,axiom,(c | (~h)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','seven')).
% 0.21/0.40 tff(35,plain,
% 0.21/0.40 (c),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[34, 33])).
% 0.21/0.40 tff(36,plain,
% 0.21/0.40 (((~h) | (~c)) <=> ((~h) | (~c))),
% 0.21/0.40 inference(rewrite,[status(thm)],[])).
% 0.21/0.40 tff(37,axiom,((~h) | (~c)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','one')).
% 0.21/0.40 tff(38,plain,
% 0.21/0.40 ((~h) | (~c)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.21/0.40 tff(39,plain,
% 0.21/0.40 ((~h) | (~c)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[38, 36])).
% 0.21/0.40 tff(40,plain,
% 0.21/0.40 ((~h) | (~c)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[39, 36])).
% 0.21/0.40 tff(41,plain,
% 0.21/0.40 ((~h) | (~c)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[40, 36])).
% 0.21/0.40 tff(42,plain,
% 0.21/0.40 ((~h) | (~c)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[41, 36])).
% 0.21/0.40 tff(43,plain,
% 0.21/0.40 ((~h) | (~c)),
% 0.21/0.40 inference(modus_ponens,[status(thm)],[42, 36])).
% 0.21/0.40 tff(44,plain,
% 0.21/0.40 ($false),
% 0.21/0.40 inference(unit_resolution,[status(thm)],[43, 35, 33])).
% 0.21/0.40 % SZS output end Proof
%------------------------------------------------------------------------------