%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN032-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n011.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 : Sat Jun 21 05:37:59 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN032-1 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.12 % Command : run_E %s %d THM
% 0.12/0.33 % Computer : n011.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 : Fri Jun 20 12:26:42 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % SZS status Unsatisfiable
% 0.12/0.37 % SZS output start Proof
% 0.12/0.37 tff(h_type, type, (
% 0.12/0.37 h: $o)).
% 0.12/0.37 tff(j_type, type, (
% 0.12/0.37 j: $o)).
% 0.12/0.37 tff(k_type, type, (
% 0.12/0.37 k: $o)).
% 0.12/0.37 tff(a_type, type, (
% 0.12/0.37 a: $o)).
% 0.12/0.37 tff(b_type, type, (
% 0.12/0.37 b: $o)).
% 0.12/0.37 tff(c_type, type, (
% 0.12/0.37 c: $o)).
% 0.12/0.37 tff(1,assumption,(~h), introduced(assumption)).
% 0.12/0.37 tff(2,assumption,(~j), introduced(assumption)).
% 0.12/0.37 tff(3,plain,
% 0.12/0.37 (((h | k) | j) <=> (h | j | k)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(4,axiom,((h | k) | j), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','four')).
% 0.12/0.37 tff(5,plain,
% 0.12/0.37 (h | j | k),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.12/0.37 tff(6,plain,
% 0.12/0.37 (k),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[5, 2, 1])).
% 0.12/0.37 tff(7,plain,
% 0.12/0.37 (((h | j) | (~k)) <=> (h | j | (~k))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(8,axiom,((h | j) | (~k)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','five')).
% 0.12/0.37 tff(9,plain,
% 0.12/0.37 (h | j | (~k)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.12/0.37 tff(10,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[9, 6, 2, 1])).
% 0.12/0.37 tff(11,plain,(j | h), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(12,plain,
% 0.12/0.37 (j),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[11, 1])).
% 0.12/0.37 tff(13,assumption,(a), introduced(assumption)).
% 0.12/0.37 tff(14,axiom,(b | (~a)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','six')).
% 0.12/0.37 tff(15,plain,
% 0.12/0.37 (b),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.12/0.37 tff(16,axiom,((~a) | (~b)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_something')).
% 0.12/0.37 tff(17,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[16, 15, 13])).
% 0.12/0.37 tff(18,plain,(~a), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(19,plain,
% 0.12/0.37 ((h | a | (~j)) <=> (h | a | (~j))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(20,plain,
% 0.12/0.37 (((h | a) | (~j)) <=> (h | a | (~j))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(21,plain,
% 0.12/0.37 ((h | a) <=> (h | a)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(22,plain,
% 0.12/0.37 (((h | a) | (~j)) <=> ((h | a) | (~j))),
% 0.12/0.37 inference(monotonicity,[status(thm)],[21])).
% 0.12/0.37 tff(23,plain,
% 0.12/0.37 (((h | a) | (~j)) <=> (h | a | (~j))),
% 0.12/0.37 inference(transitivity,[status(thm)],[22, 20])).
% 0.12/0.37 tff(24,axiom,((h | a) | (~j)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','three')).
% 0.12/0.37 tff(25,plain,
% 0.12/0.37 (h | a | (~j)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[24, 23])).
% 0.12/0.37 tff(26,plain,
% 0.12/0.37 (h | a | (~j)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[25, 19])).
% 0.12/0.37 tff(27,plain,
% 0.12/0.37 (h | a | (~j)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[26, 19])).
% 0.12/0.37 tff(28,plain,
% 0.12/0.37 (h | a | (~j)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[27, 19])).
% 0.12/0.37 tff(29,plain,
% 0.12/0.37 (h | (~j)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[28, 18])).
% 0.12/0.37 tff(30,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[29, 12, 1])).
% 0.12/0.37 tff(31,plain,(h), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(32,axiom,(c | (~h)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','seven')).
% 0.12/0.37 tff(33,plain,
% 0.12/0.37 (c),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[32, 31])).
% 0.12/0.37 tff(34,plain,
% 0.12/0.37 (((~h) | (~c)) <=> ((~h) | (~c))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(35,axiom,((~h) | (~c)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','one')).
% 0.12/0.37 tff(36,plain,
% 0.12/0.37 ((~h) | (~c)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[35, 34])).
% 0.12/0.37 tff(37,plain,
% 0.12/0.37 ((~h) | (~c)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[36, 34])).
% 0.12/0.37 tff(38,plain,
% 0.12/0.37 ((~h) | (~c)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[37, 34])).
% 0.12/0.37 tff(39,plain,
% 0.12/0.37 ((~h) | (~c)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[38, 34])).
% 0.12/0.37 tff(40,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[39, 33, 31])).
% 0.12/0.37 % SZS output end Proof
% 0.12/0.37 % E exiting
%------------------------------------------------------------------------------