%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN097-1.002 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n006.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 05:38:14 AM UTC 2025
% Result : Unsatisfiable 0.15s 0.32s
% Output : Proof 0.15s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SYN097-1.002 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.00/0.10 % Command : run_E %s %d THM
% 0.09/0.29 % Computer : n006.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Fri Jun 20 12:27:50 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.15/0.32 % SZS status Unsatisfiable
% 0.15/0.32 % SZS output start Proof
% 0.15/0.32 tff(sym_q_1_1_type, type, (
% 0.15/0.32 sym_q_1_1: $o)).
% 0.15/0.32 tff(sym_q_2_2_type, type, (
% 0.15/0.32 sym_q_2_2: $o)).
% 0.15/0.32 tff(sym_u_13_type, type, (
% 0.15/0.32 sym_u_13: $o)).
% 0.15/0.32 tff(sym_u_3_type, type, (
% 0.15/0.32 sym_u_3: $o)).
% 0.15/0.32 tff(sym_p_1_2_type, type, (
% 0.15/0.32 sym_p_1_2: $o)).
% 0.15/0.32 tff(sym_u_1_type, type, (
% 0.15/0.32 sym_u_1: $o)).
% 0.15/0.32 tff(sym_u_11_type, type, (
% 0.15/0.32 sym_u_11: $o)).
% 0.15/0.32 tff(1,assumption,(sym_q_2_2), introduced(assumption)).
% 0.15/0.32 tff(2,plain,
% 0.15/0.32 (((~sym_u_13) | (~sym_q_2_2)) <=> ((~sym_q_2_2) | (~sym_u_13))),
% 0.15/0.32 inference(rewrite,[status(thm)],[])).
% 0.15/0.32 tff(3,axiom,((~sym_u_13) | (~sym_q_2_2)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sym_u_t2_4')).
% 0.15/0.32 tff(4,plain,
% 0.15/0.32 ((~sym_q_2_2) | (~sym_u_13)),
% 0.15/0.32 inference(modus_ponens,[status(thm)],[3, 2])).
% 0.15/0.32 tff(5,plain,
% 0.15/0.32 (~sym_u_13),
% 0.15/0.32 inference(unit_resolution,[status(thm)],[4, 1])).
% 0.15/0.32 tff(6,plain,
% 0.15/0.32 (((~sym_q_2_2) | sym_u_13) <=> ((~sym_q_2_2) | sym_u_13)),
% 0.15/0.32 inference(rewrite,[status(thm)],[])).
% 0.15/0.32 tff(7,axiom,((~sym_q_2_2) | sym_u_13), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sym_u_13_t2_4')).
% 0.15/0.32 tff(8,plain,
% 0.15/0.32 ((~sym_q_2_2) | sym_u_13),
% 0.15/0.32 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.15/0.32 tff(9,plain,
% 0.15/0.32 ((~sym_q_2_2) | sym_u_13),
% 0.15/0.32 inference(modus_ponens,[status(thm)],[8, 6])).
% 0.15/0.32 tff(10,plain,
% 0.15/0.32 ((~sym_q_2_2) | sym_u_13),
% 0.15/0.32 inference(modus_ponens,[status(thm)],[9, 6])).
% 0.15/0.32 tff(11,plain,
% 0.15/0.32 ((~sym_q_2_2) | sym_u_13),
% 0.15/0.32 inference(modus_ponens,[status(thm)],[10, 6])).
% 0.15/0.32 tff(12,plain,
% 0.15/0.32 ($false),
% 0.15/0.32 inference(unit_resolution,[status(thm)],[11, 5, 1])).
% 0.15/0.32 tff(13,plain,(~sym_q_2_2), inference(lemma,lemma(discharge,[]))).
% 0.15/0.32 tff(14,axiom,(sym_u_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sym_u_1_s2_goal_1')).
% 0.15/0.32 tff(15,plain,
% 0.15/0.32 (((~sym_u_1) | sym_p_1_2) <=> ((~sym_u_1) | sym_p_1_2)),
% 0.15/0.32 inference(rewrite,[status(thm)],[])).
% 0.15/0.32 tff(16,axiom,((~sym_u_1) | sym_p_1_2), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sym_u_s2_goal_1')).
% 0.15/0.32 tff(17,plain,
% 0.15/0.32 ((~sym_u_1) | sym_p_1_2),
% 0.15/0.32 inference(modus_ponens,[status(thm)],[16, 15])).
% 0.15/0.32 tff(18,plain,
% 0.15/0.32 ((~sym_u_1) | sym_p_1_2),
% 0.15/0.32 inference(modus_ponens,[status(thm)],[17, 15])).
% 0.15/0.32 tff(19,plain,
% 0.15/0.32 ((~sym_u_1) | sym_p_1_2),
% 0.15/0.32 inference(modus_ponens,[status(thm)],[18, 15])).
% 0.15/0.32 tff(20,plain,
% 0.15/0.32 ((~sym_u_1) | sym_p_1_2),
% 0.15/0.32 inference(modus_ponens,[status(thm)],[19, 15])).
% 0.15/0.32 tff(21,plain,
% 0.15/0.32 (sym_p_1_2),
% 0.15/0.32 inference(unit_resolution,[status(thm)],[20, 14])).
% 0.15/0.32 tff(22,plain,
% 0.15/0.32 (((~sym_p_1_2) | sym_u_3) <=> ((~sym_p_1_2) | sym_u_3)),
% 0.15/0.32 inference(rewrite,[status(thm)],[])).
% 0.15/0.32 tff(23,axiom,((~sym_p_1_2) | sym_u_3), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sym_u_3_s2_type11_2')).
% 0.15/0.32 tff(24,plain,
% 0.15/0.32 ((~sym_p_1_2) | sym_u_3),
% 0.15/0.32 inference(modus_ponens,[status(thm)],[23, 22])).
% 0.15/0.32 tff(25,plain,
% 0.15/0.32 ((~sym_p_1_2) | sym_u_3),
% 0.15/0.32 inference(modus_ponens,[status(thm)],[24, 22])).
% 0.15/0.32 tff(26,plain,
% 0.15/0.32 ((~sym_p_1_2) | sym_u_3),
% 0.15/0.32 inference(modus_ponens,[status(thm)],[25, 22])).
% 0.15/0.32 tff(27,plain,
% 0.15/0.32 ((~sym_p_1_2) | sym_u_3),
% 0.15/0.32 inference(modus_ponens,[status(thm)],[26, 22])).
% 0.15/0.32 tff(28,plain,
% 0.15/0.32 (sym_u_3),
% 0.15/0.32 inference(unit_resolution,[status(thm)],[27, 21])).
% 0.15/0.32 tff(29,plain,
% 0.15/0.32 (((~sym_p_1_2) | (~sym_u_3) | sym_q_2_2 | sym_q_1_1) <=> ((~sym_p_1_2) | (~sym_u_3) | sym_q_2_2 | sym_q_1_1)),
% 0.15/0.32 inference(rewrite,[status(thm)],[])).
% 0.15/0.32 tff(30,plain,
% 0.15/0.32 ((((~sym_p_1_2) | (~sym_u_3) | sym_q_2_2) | sym_q_1_1) <=> ((~sym_p_1_2) | (~sym_u_3) | sym_q_2_2 | sym_q_1_1)),
% 0.15/0.32 inference(rewrite,[status(thm)],[])).
% 0.15/0.32 tff(31,plain,
% 0.15/0.32 ((((~sym_p_1_2) | (~sym_u_3)) | sym_q_2_2) <=> ((~sym_p_1_2) | (~sym_u_3) | sym_q_2_2)),
% 0.15/0.32 inference(rewrite,[status(thm)],[])).
% 0.15/0.32 tff(32,plain,
% 0.15/0.32 (((~sym_u_3) | (~sym_p_1_2)) <=> ((~sym_p_1_2) | (~sym_u_3))),
% 0.15/0.32 inference(rewrite,[status(thm)],[])).
% 0.15/0.32 tff(33,plain,
% 0.15/0.32 ((((~sym_u_3) | (~sym_p_1_2)) | sym_q_2_2) <=> (((~sym_p_1_2) | (~sym_u_3)) | sym_q_2_2)),
% 0.15/0.32 inference(monotonicity,[status(thm)],[32])).
% 0.15/0.32 tff(34,plain,
% 0.15/0.32 ((((~sym_u_3) | (~sym_p_1_2)) | sym_q_2_2) <=> ((~sym_p_1_2) | (~sym_u_3) | sym_q_2_2)),
% 0.15/0.32 inference(transitivity,[status(thm)],[33, 31])).
% 0.15/0.32 tff(35,plain,
% 0.15/0.33 (((((~sym_u_3) | (~sym_p_1_2)) | sym_q_2_2) | sym_q_1_1) <=> (((~sym_p_1_2) | (~sym_u_3) | sym_q_2_2) | sym_q_1_1)),
% 0.15/0.33 inference(monotonicity,[status(thm)],[34])).
% 0.15/0.33 tff(36,plain,
% 0.15/0.33 (((((~sym_u_3) | (~sym_p_1_2)) | sym_q_2_2) | sym_q_1_1) <=> ((~sym_p_1_2) | (~sym_u_3) | sym_q_2_2 | sym_q_1_1)),
% 0.15/0.33 inference(transitivity,[status(thm)],[35, 30])).
% 0.15/0.33 tff(37,axiom,((((~sym_u_3) | (~sym_p_1_2)) | sym_q_2_2) | sym_q_1_1), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sym_u_s2_type11_2')).
% 0.15/0.33 tff(38,plain,
% 0.15/0.33 ((~sym_p_1_2) | (~sym_u_3) | sym_q_2_2 | sym_q_1_1),
% 0.15/0.33 inference(modus_ponens,[status(thm)],[37, 36])).
% 0.15/0.33 tff(39,plain,
% 0.15/0.33 ((~sym_p_1_2) | (~sym_u_3) | sym_q_2_2 | sym_q_1_1),
% 0.15/0.33 inference(modus_ponens,[status(thm)],[38, 29])).
% 0.15/0.33 tff(40,plain,
% 0.15/0.33 ((~sym_p_1_2) | (~sym_u_3) | sym_q_2_2 | sym_q_1_1),
% 0.15/0.33 inference(modus_ponens,[status(thm)],[39, 29])).
% 0.15/0.33 tff(41,plain,
% 0.15/0.33 ((~sym_p_1_2) | (~sym_u_3) | sym_q_2_2 | sym_q_1_1),
% 0.15/0.33 inference(modus_ponens,[status(thm)],[40, 29])).
% 0.15/0.33 tff(42,plain,
% 0.15/0.33 (sym_q_2_2 | sym_q_1_1),
% 0.15/0.33 inference(unit_resolution,[status(thm)],[41, 21, 28])).
% 0.15/0.33 tff(43,plain,
% 0.15/0.33 (sym_q_1_1),
% 0.15/0.33 inference(unit_resolution,[status(thm)],[42, 13])).
% 0.15/0.33 tff(44,plain,
% 0.15/0.33 (((~sym_u_11) | (~sym_q_1_1)) <=> ((~sym_q_1_1) | (~sym_u_11))),
% 0.15/0.33 inference(rewrite,[status(thm)],[])).
% 0.15/0.33 tff(45,axiom,((~sym_u_11) | (~sym_q_1_1)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sym_u_t2_2')).
% 0.15/0.33 tff(46,plain,
% 0.15/0.33 ((~sym_q_1_1) | (~sym_u_11)),
% 0.15/0.33 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.15/0.33 tff(47,plain,
% 0.15/0.33 (~sym_u_11),
% 0.15/0.33 inference(unit_resolution,[status(thm)],[46, 43])).
% 0.15/0.33 tff(48,plain,
% 0.15/0.33 (((~sym_q_1_1) | sym_u_11) <=> ((~sym_q_1_1) | sym_u_11)),
% 0.15/0.33 inference(rewrite,[status(thm)],[])).
% 0.15/0.33 tff(49,axiom,((~sym_q_1_1) | sym_u_11), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','sym_u_11_t2_2')).
% 0.15/0.33 tff(50,plain,
% 0.15/0.33 ((~sym_q_1_1) | sym_u_11),
% 0.15/0.33 inference(modus_ponens,[status(thm)],[49, 48])).
% 0.15/0.33 tff(51,plain,
% 0.15/0.33 ((~sym_q_1_1) | sym_u_11),
% 0.15/0.33 inference(modus_ponens,[status(thm)],[50, 48])).
% 0.15/0.33 tff(52,plain,
% 0.15/0.33 ((~sym_q_1_1) | sym_u_11),
% 0.15/0.33 inference(modus_ponens,[status(thm)],[51, 48])).
% 0.15/0.33 tff(53,plain,
% 0.15/0.33 ((~sym_q_1_1) | sym_u_11),
% 0.15/0.33 inference(modus_ponens,[status(thm)],[52, 48])).
% 0.15/0.33 tff(54,plain,
% 0.15/0.33 ($false),
% 0.15/0.33 inference(unit_resolution,[status(thm)],[53, 47, 43])).
% 0.15/0.33 % SZS output end Proof
% 0.15/0.33 % E exiting
%------------------------------------------------------------------------------