%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN093-1.002 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n002.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 05:38:13 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
% 0.07/0.13 % Problem : SYN093-1.002 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.07/0.13 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n002.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Fri Jun 20 12:29:46 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(q_2_2_type, type, (
% 0.12/0.37 q_2_2: $o)).
% 0.12/0.37 tff(q_1_1_type, type, (
% 0.12/0.37 q_1_1: $o)).
% 0.12/0.37 tff(u_11_type, type, (
% 0.12/0.37 u_11: $o)).
% 0.12/0.37 tff(u_3_type, type, (
% 0.12/0.37 u_3: $o)).
% 0.12/0.37 tff(p_1_2_type, type, (
% 0.12/0.37 p_1_2: $o)).
% 0.12/0.37 tff(u_1_type, type, (
% 0.12/0.37 u_1: $o)).
% 0.12/0.37 tff(u_13_type, type, (
% 0.12/0.37 u_13: $o)).
% 0.12/0.37 tff(1,assumption,(~q_1_1), introduced(assumption)).
% 0.12/0.37 tff(2,plain,
% 0.12/0.37 ((u_11 | q_1_1) <=> (q_1_1 | u_11)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(3,axiom,(u_11 | q_1_1), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_t2_2')).
% 0.12/0.37 tff(4,plain,
% 0.12/0.37 (q_1_1 | u_11),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.12/0.37 tff(5,plain,
% 0.12/0.37 (u_11),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.12/0.37 tff(6,axiom,(q_1_1 | (~u_11)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_11_t2_2')).
% 0.12/0.37 tff(7,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[6, 5, 1])).
% 0.12/0.37 tff(8,plain,(q_1_1), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(9,axiom,(~u_1), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_1_s2_goal_1')).
% 0.12/0.37 tff(10,axiom,(u_1 | (~p_1_2)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s2_goal_1')).
% 0.12/0.37 tff(11,plain,
% 0.12/0.37 (~p_1_2),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[10, 9])).
% 0.12/0.37 tff(12,axiom,(p_1_2 | (~u_3)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_3_s2_type11_2')).
% 0.12/0.37 tff(13,plain,
% 0.12/0.37 (~u_3),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[12, 11])).
% 0.12/0.37 tff(14,plain,
% 0.12/0.37 ((p_1_2 | u_3 | (~q_2_2) | (~q_1_1)) <=> (p_1_2 | u_3 | (~q_2_2) | (~q_1_1))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(15,plain,
% 0.12/0.37 (((p_1_2 | u_3 | (~q_2_2)) | (~q_1_1)) <=> (p_1_2 | u_3 | (~q_2_2) | (~q_1_1))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(16,plain,
% 0.12/0.37 (((p_1_2 | u_3) | (~q_2_2)) <=> (p_1_2 | u_3 | (~q_2_2))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(17,plain,
% 0.12/0.37 ((u_3 | p_1_2) <=> (p_1_2 | u_3)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(18,plain,
% 0.12/0.37 (((u_3 | p_1_2) | (~q_2_2)) <=> ((p_1_2 | u_3) | (~q_2_2))),
% 0.12/0.37 inference(monotonicity,[status(thm)],[17])).
% 0.12/0.38 tff(19,plain,
% 0.12/0.38 (((u_3 | p_1_2) | (~q_2_2)) <=> (p_1_2 | u_3 | (~q_2_2))),
% 0.12/0.38 inference(transitivity,[status(thm)],[18, 16])).
% 0.12/0.38 tff(20,plain,
% 0.12/0.38 ((((u_3 | p_1_2) | (~q_2_2)) | (~q_1_1)) <=> ((p_1_2 | u_3 | (~q_2_2)) | (~q_1_1))),
% 0.12/0.38 inference(monotonicity,[status(thm)],[19])).
% 0.12/0.38 tff(21,plain,
% 0.12/0.38 ((((u_3 | p_1_2) | (~q_2_2)) | (~q_1_1)) <=> (p_1_2 | u_3 | (~q_2_2) | (~q_1_1))),
% 0.12/0.38 inference(transitivity,[status(thm)],[20, 15])).
% 0.12/0.38 tff(22,axiom,(((u_3 | p_1_2) | (~q_2_2)) | (~q_1_1)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_s2_type11_2')).
% 0.12/0.38 tff(23,plain,
% 0.12/0.38 (p_1_2 | u_3 | (~q_2_2) | (~q_1_1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.12/0.38 tff(24,plain,
% 0.12/0.38 (p_1_2 | u_3 | (~q_2_2) | (~q_1_1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[23, 14])).
% 0.12/0.38 tff(25,plain,
% 0.12/0.38 (p_1_2 | u_3 | (~q_2_2) | (~q_1_1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[24, 14])).
% 0.12/0.38 tff(26,plain,
% 0.12/0.38 (p_1_2 | u_3 | (~q_2_2) | (~q_1_1)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[25, 14])).
% 0.12/0.38 tff(27,plain,
% 0.12/0.38 ((~q_2_2) | (~q_1_1)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[26, 11, 13])).
% 0.12/0.38 tff(28,plain,
% 0.12/0.38 (~q_2_2),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[27, 8])).
% 0.12/0.38 tff(29,plain,
% 0.12/0.38 ((u_13 | q_2_2) <=> (q_2_2 | u_13)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(30,axiom,(u_13 | q_2_2), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_t2_4')).
% 0.12/0.38 tff(31,plain,
% 0.12/0.38 (q_2_2 | u_13),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[30, 29])).
% 0.12/0.38 tff(32,plain,
% 0.12/0.38 (u_13),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[31, 28])).
% 0.12/0.38 tff(33,axiom,(q_2_2 | (~u_13)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','u_13_t2_4')).
% 0.12/0.38 tff(34,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[33, 32, 28])).
% 0.12/0.38 % SZS output end Proof
% 0.12/0.38 % E exiting
%------------------------------------------------------------------------------