%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : SYN393+1.003 : TPTP v9.0.0. Released v2.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n014.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 05:38:58 AM UTC 2025
% Result : Theorem 0.18s 0.36s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SYN393+1.003 : TPTP v9.0.0. Released v2.0.0.
% 0.00/0.12 % Command : run_E %s %d THM
% 0.11/0.33 % Computer : n014.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 300
% 0.11/0.33 % DateTime : Fri Jun 20 12:32:54 EDT 2025
% 0.11/0.33 % CPUTime :
% 0.18/0.36 % SZS status Theorem
% 0.18/0.36 % SZS output start Proof
% 0.18/0.36 tff(p2_type, type, (
% 0.18/0.36 p2: $o)).
% 0.18/0.36 tff(p1_type, type, (
% 0.18/0.36 p1: $o)).
% 0.18/0.36 tff(p3_type, type, (
% 0.18/0.36 p3: $o)).
% 0.18/0.36 tff(1,assumption,(~p1), introduced(assumption)).
% 0.18/0.36 tff(2,assumption,(~(p1 <=> p2)), introduced(assumption)).
% 0.18/0.36 tff(3,plain,
% 0.18/0.36 ((p1 <=> p2) | p1 | p2),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(4,plain,
% 0.18/0.36 (p2),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[3, 2, 1])).
% 0.18/0.36 tff(5,assumption,(~(p1 <=> (p2 <=> p3))), introduced(assumption)).
% 0.18/0.36 tff(6,plain,
% 0.18/0.36 ((p1 <=> (p2 <=> p3)) | p1 | (p2 <=> p3)),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(7,plain,
% 0.18/0.36 (p2 <=> p3),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[6, 5, 1])).
% 0.18/0.36 tff(8,plain,
% 0.18/0.36 ((~(((p1 <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3)))) <=> (~(((p1 <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3))))),
% 0.18/0.36 inference(rewrite,[status(thm)],[])).
% 0.18/0.36 tff(9,axiom,(~(((p1 <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p','pel12')).
% 0.18/0.36 tff(10,plain,
% 0.18/0.36 (~(((p1 <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3)))),
% 0.18/0.36 inference(modus_ponens,[status(thm)],[9, 8])).
% 0.18/0.36 tff(11,plain,
% 0.18/0.36 (~(((p1 <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3)))),
% 0.18/0.36 inference(modus_ponens,[status(thm)],[10, 8])).
% 0.18/0.36 tff(12,plain,
% 0.18/0.36 (~(((p1 <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3)))),
% 0.18/0.36 inference(modus_ponens,[status(thm)],[11, 8])).
% 0.18/0.36 tff(13,plain,
% 0.18/0.36 (~(((p1 <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3)))),
% 0.18/0.36 inference(modus_ponens,[status(thm)],[12, 8])).
% 0.18/0.36 tff(14,plain,
% 0.18/0.36 ((((p1 <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3))) | ((p1 <=> p2) <=> p3) | (p1 <=> (p2 <=> p3))),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(15,plain,
% 0.18/0.36 (((p1 <=> p2) <=> p3) | (p1 <=> (p2 <=> p3))),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[14, 13])).
% 0.18/0.36 tff(16,plain,
% 0.18/0.36 ((p1 <=> p2) <=> p3),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[15, 5])).
% 0.18/0.36 tff(17,plain,
% 0.18/0.36 ((~((p1 <=> p2) <=> p3)) | (p1 <=> p2) | (~p3)),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(18,plain,
% 0.18/0.36 (~p3),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[17, 16, 2])).
% 0.18/0.36 tff(19,plain,
% 0.18/0.36 ((~(p2 <=> p3)) | (~p2) | p3),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(20,plain,
% 0.18/0.36 ($false),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[19, 18, 7, 4])).
% 0.18/0.36 tff(21,plain,((p1 <=> (p2 <=> p3)) | (p1 <=> p2) | p1), inference(lemma,lemma(discharge,[]))).
% 0.18/0.36 tff(22,plain,
% 0.18/0.36 (p1 <=> (p2 <=> p3)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[21, 2, 1])).
% 0.18/0.36 tff(23,plain,
% 0.18/0.36 ((~(p1 <=> (p2 <=> p3))) | p1 | (~(p2 <=> p3))),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(24,plain,
% 0.18/0.36 (~(p2 <=> p3)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[23, 22, 1])).
% 0.18/0.36 tff(25,plain,
% 0.18/0.36 ((((p1 <=> p2) <=> p3) <=> (p1 <=> (p2 <=> p3))) | (~((p1 <=> p2) <=> p3)) | (~(p1 <=> (p2 <=> p3)))),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(26,plain,
% 0.18/0.36 ((~((p1 <=> p2) <=> p3)) | (~(p1 <=> (p2 <=> p3)))),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[25, 13])).
% 0.18/0.36 tff(27,plain,
% 0.18/0.36 (~((p1 <=> p2) <=> p3)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[26, 22])).
% 0.18/0.36 tff(28,plain,
% 0.18/0.36 (((p1 <=> p2) <=> p3) | (p1 <=> p2) | p3),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(29,plain,
% 0.18/0.36 (p3),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[28, 27, 2])).
% 0.18/0.36 tff(30,plain,
% 0.18/0.36 ((p2 <=> p3) | (~p2) | (~p3)),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(31,plain,
% 0.18/0.36 ($false),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[30, 29, 24, 4])).
% 0.18/0.36 tff(32,plain,((p1 <=> p2) | p1), inference(lemma,lemma(discharge,[]))).
% 0.18/0.36 tff(33,plain,
% 0.18/0.36 (p1 <=> p2),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[32, 1])).
% 0.18/0.36 tff(34,plain,
% 0.18/0.36 ((~(p1 <=> p2)) | p1 | (~p2)),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(35,plain,
% 0.18/0.36 (~p2),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[34, 33, 1])).
% 0.18/0.36 tff(36,plain,
% 0.18/0.36 ((~((p1 <=> p2) <=> p3)) | (~(p1 <=> p2)) | p3),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(37,plain,
% 0.18/0.36 (p3),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[36, 16, 33])).
% 0.18/0.36 tff(38,plain,
% 0.18/0.36 ((~(p2 <=> p3)) | p2 | (~p3)),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(39,plain,
% 0.18/0.36 ($false),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[38, 37, 7, 35])).
% 0.18/0.36 tff(40,plain,((p1 <=> (p2 <=> p3)) | p1), inference(lemma,lemma(discharge,[]))).
% 0.18/0.36 tff(41,plain,
% 0.18/0.36 (p1 <=> (p2 <=> p3)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[40, 1])).
% 0.18/0.36 tff(42,plain,
% 0.18/0.36 (~(p2 <=> p3)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[23, 41, 1])).
% 0.18/0.36 tff(43,plain,
% 0.18/0.36 (~((p1 <=> p2) <=> p3)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[26, 41])).
% 0.18/0.36 tff(44,plain,
% 0.18/0.36 (((p1 <=> p2) <=> p3) | (~(p1 <=> p2)) | (~p3)),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(45,plain,
% 0.18/0.36 (~p3),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[44, 43, 33])).
% 0.18/0.36 tff(46,plain,
% 0.18/0.36 ((p2 <=> p3) | p2 | p3),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(47,plain,
% 0.18/0.36 ($false),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[46, 45, 42, 35])).
% 0.18/0.36 tff(48,plain,(p1), inference(lemma,lemma(discharge,[]))).
% 0.18/0.36 tff(49,plain,
% 0.18/0.36 ((p1 <=> p2) | (~p1) | (~p2)),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(50,plain,
% 0.18/0.36 (~p2),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[49, 2, 48])).
% 0.18/0.36 tff(51,plain,
% 0.18/0.36 ((p1 <=> (p2 <=> p3)) | (~p1) | (~(p2 <=> p3))),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(52,plain,
% 0.18/0.36 (~(p2 <=> p3)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[51, 5, 48])).
% 0.18/0.36 tff(53,plain,
% 0.18/0.36 ($false),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[46, 18, 52, 50])).
% 0.18/0.36 tff(54,plain,((p1 <=> (p2 <=> p3)) | (p1 <=> p2)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.36 tff(55,plain,
% 0.18/0.36 (p1 <=> (p2 <=> p3)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[54, 2])).
% 0.18/0.36 tff(56,plain,
% 0.18/0.36 ((~(p1 <=> (p2 <=> p3))) | (~p1) | (p2 <=> p3)),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(57,plain,
% 0.18/0.36 (p2 <=> p3),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[56, 55, 48])).
% 0.18/0.36 tff(58,plain,
% 0.18/0.36 (~((p1 <=> p2) <=> p3)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[26, 55])).
% 0.18/0.36 tff(59,plain,
% 0.18/0.36 (p3),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[28, 58, 2])).
% 0.18/0.36 tff(60,plain,
% 0.18/0.36 ($false),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[38, 59, 57, 50])).
% 0.18/0.36 tff(61,plain,(p1 <=> p2), inference(lemma,lemma(discharge,[]))).
% 0.18/0.36 tff(62,plain,
% 0.18/0.36 ((~(p1 <=> p2)) | (~p1) | p2),
% 0.18/0.36 inference(tautology,[status(thm)],[])).
% 0.18/0.36 tff(63,plain,
% 0.18/0.36 (p2),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[62, 61, 48])).
% 0.18/0.36 tff(64,plain,
% 0.18/0.36 (p3),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[36, 16, 61])).
% 0.18/0.36 tff(65,plain,
% 0.18/0.36 ($false),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[30, 64, 52, 63])).
% 0.18/0.36 tff(66,plain,(p1 <=> (p2 <=> p3)), inference(lemma,lemma(discharge,[]))).
% 0.18/0.36 tff(67,plain,
% 0.18/0.36 (p2 <=> p3),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[56, 66, 48])).
% 0.18/0.36 tff(68,plain,
% 0.18/0.36 (~((p1 <=> p2) <=> p3)),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[26, 66])).
% 0.18/0.36 tff(69,plain,
% 0.18/0.36 (~p3),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[44, 68, 61])).
% 0.18/0.36 tff(70,plain,
% 0.18/0.36 ($false),
% 0.18/0.36 inference(unit_resolution,[status(thm)],[19, 69, 67, 63])).
% 0.18/0.36 % SZS output end Proof
% 0.18/0.36 % E exiting
%------------------------------------------------------------------------------