%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : GRA001-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n012.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 05:06:36 AM UTC 2025
% Result : Unsatisfiable 0.14s 0.40s
% Output : Proof 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GRA001-1 : TPTP v9.0.0. Released v1.0.0.
% 0.08/0.14 % Command : run_E %s %d THM
% 0.14/0.36 % Computer : n012.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Thu Jun 19 15:21:11 EDT 2025
% 0.14/0.36 % CPUTime :
% 0.14/0.40 % SZS status Unsatisfiable
% 0.14/0.40 % SZS output start Proof
% 0.14/0.40 tff(d_type, type, (
% 0.14/0.40 d: $o)).
% 0.14/0.40 tff(c_type, type, (
% 0.14/0.40 c: $o)).
% 0.14/0.40 tff(a_type, type, (
% 0.14/0.40 a: $o)).
% 0.14/0.40 tff(e_type, type, (
% 0.14/0.40 e: $o)).
% 0.14/0.40 tff(b_type, type, (
% 0.14/0.40 b: $o)).
% 0.14/0.40 tff(1,assumption,(~c), introduced(assumption)).
% 0.14/0.40 tff(2,assumption,(~a), introduced(assumption)).
% 0.14/0.40 tff(3,plain,
% 0.14/0.40 (((a | c) | (~d)) <=> (a | c | (~d))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(4,axiom,((a | c) | (~d)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_3')).
% 0.14/0.40 tff(5,plain,
% 0.14/0.40 (a | c | (~d)),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[4, 3])).
% 0.14/0.40 tff(6,plain,
% 0.14/0.40 (~d),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[5, 1, 2])).
% 0.14/0.40 tff(7,axiom,(a | b), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_1')).
% 0.14/0.40 tff(8,plain,
% 0.14/0.40 (b),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[7, 2])).
% 0.14/0.40 tff(9,plain,
% 0.14/0.40 (((~b) | c | e) <=> ((~b) | c | e)),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(10,plain,
% 0.14/0.40 ((((~b) | c) | e) <=> ((~b) | c | e)),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(11,plain,
% 0.14/0.40 (((~b) | c) <=> ((~b) | c)),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(12,plain,
% 0.14/0.40 ((((~b) | c) | e) <=> (((~b) | c) | e)),
% 0.14/0.40 inference(monotonicity,[status(thm)],[11])).
% 0.14/0.40 tff(13,plain,
% 0.14/0.40 ((((~b) | c) | e) <=> ((~b) | c | e)),
% 0.14/0.40 inference(transitivity,[status(thm)],[12, 10])).
% 0.14/0.40 tff(14,axiom,(((~b) | c) | e), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_9')).
% 0.14/0.40 tff(15,plain,
% 0.14/0.40 ((~b) | c | e),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[14, 13])).
% 0.14/0.40 tff(16,plain,
% 0.14/0.40 ((~b) | c | e),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[15, 9])).
% 0.14/0.40 tff(17,plain,
% 0.14/0.40 ((~b) | c | e),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[16, 9])).
% 0.14/0.40 tff(18,plain,
% 0.14/0.40 ((~b) | c | e),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[17, 9])).
% 0.14/0.40 tff(19,plain,
% 0.14/0.40 (e),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[18, 1, 8])).
% 0.14/0.40 tff(20,axiom,(d | (~e)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_11')).
% 0.14/0.40 tff(21,plain,
% 0.14/0.40 ($false),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[20, 19, 6])).
% 0.14/0.40 tff(22,plain,(c | a), inference(lemma,lemma(discharge,[]))).
% 0.14/0.40 tff(23,plain,
% 0.14/0.40 (c),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[22, 2])).
% 0.14/0.40 tff(24,plain,
% 0.14/0.40 (((a | (~c)) | d) <=> (a | d | (~c))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(25,axiom,((a | (~c)) | d), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_4')).
% 0.14/0.40 tff(26,plain,
% 0.14/0.40 (a | d | (~c)),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[25, 24])).
% 0.14/0.40 tff(27,plain,
% 0.14/0.40 (d),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[26, 23, 2])).
% 0.14/0.40 tff(28,plain,
% 0.14/0.40 ((((~b) | (~c)) | (~e)) <=> ((~b) | (~c) | (~e))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(29,axiom,(((~b) | (~c)) | (~e)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_10')).
% 0.14/0.40 tff(30,plain,
% 0.14/0.40 ((~b) | (~c) | (~e)),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[29, 28])).
% 0.14/0.40 tff(31,plain,
% 0.14/0.40 (~e),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[30, 23, 8])).
% 0.14/0.40 tff(32,plain,
% 0.14/0.40 (((~d) | e) <=> ((~d) | e)),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(33,axiom,((~d) | e), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_12')).
% 0.14/0.40 tff(34,plain,
% 0.14/0.40 ((~d) | e),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[33, 32])).
% 0.14/0.40 tff(35,plain,
% 0.14/0.40 ((~d) | e),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[34, 32])).
% 0.14/0.40 tff(36,plain,
% 0.14/0.40 ((~d) | e),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[35, 32])).
% 0.14/0.40 tff(37,plain,
% 0.14/0.40 ((~d) | e),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[36, 32])).
% 0.14/0.40 tff(38,plain,
% 0.14/0.40 ($false),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[37, 31, 27])).
% 0.14/0.40 tff(39,plain,(a), inference(lemma,lemma(discharge,[]))).
% 0.14/0.40 tff(40,plain,
% 0.14/0.40 (((~a) | c | d) <=> ((~a) | c | d)),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(41,plain,
% 0.14/0.40 ((((~a) | c) | d) <=> ((~a) | c | d)),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(42,plain,
% 0.14/0.40 (((~a) | c) <=> ((~a) | c)),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(43,plain,
% 0.14/0.40 ((((~a) | c) | d) <=> (((~a) | c) | d)),
% 0.14/0.40 inference(monotonicity,[status(thm)],[42])).
% 0.14/0.40 tff(44,plain,
% 0.14/0.40 ((((~a) | c) | d) <=> ((~a) | c | d)),
% 0.14/0.40 inference(transitivity,[status(thm)],[43, 41])).
% 0.14/0.40 tff(45,axiom,(((~a) | c) | d), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_5')).
% 0.14/0.40 tff(46,plain,
% 0.14/0.40 ((~a) | c | d),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[45, 44])).
% 0.14/0.40 tff(47,plain,
% 0.14/0.40 ((~a) | c | d),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[46, 40])).
% 0.14/0.40 tff(48,plain,
% 0.14/0.40 ((~a) | c | d),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[47, 40])).
% 0.14/0.40 tff(49,plain,
% 0.14/0.40 ((~a) | c | d),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[48, 40])).
% 0.14/0.40 tff(50,plain,
% 0.14/0.40 (c | d),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[49, 39])).
% 0.14/0.40 tff(51,plain,
% 0.14/0.40 (d),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[50, 1])).
% 0.14/0.40 tff(52,axiom,((~a) | (~b)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_2')).
% 0.14/0.40 tff(53,plain,
% 0.14/0.40 (~b),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[52, 39])).
% 0.14/0.40 tff(54,plain,
% 0.14/0.40 (((b | c) | (~e)) <=> (b | c | (~e))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(55,axiom,((b | c) | (~e)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_7')).
% 0.14/0.40 tff(56,plain,
% 0.14/0.40 (b | c | (~e)),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.14/0.40 tff(57,plain,
% 0.14/0.40 (c | (~e)),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[56, 53])).
% 0.14/0.40 tff(58,plain,
% 0.14/0.40 (~e),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[57, 1])).
% 0.14/0.40 tff(59,plain,
% 0.14/0.40 ($false),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[37, 58, 51])).
% 0.14/0.40 tff(60,plain,(c), inference(lemma,lemma(discharge,[]))).
% 0.14/0.40 tff(61,plain,
% 0.14/0.40 (((~a) | (~d) | (~c)) <=> ((~a) | (~d) | (~c))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(62,plain,
% 0.14/0.40 ((((~a) | (~c)) | (~d)) <=> ((~a) | (~d) | (~c))),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(63,axiom,(((~a) | (~c)) | (~d)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_6')).
% 0.14/0.40 tff(64,plain,
% 0.14/0.40 ((~a) | (~d) | (~c)),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[63, 62])).
% 0.14/0.40 tff(65,plain,
% 0.14/0.40 ((~a) | (~d) | (~c)),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[64, 61])).
% 0.14/0.40 tff(66,plain,
% 0.14/0.40 ((~a) | (~d) | (~c)),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[65, 61])).
% 0.14/0.40 tff(67,plain,
% 0.14/0.40 ((~a) | (~d) | (~c)),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[66, 61])).
% 0.14/0.40 tff(68,plain,
% 0.14/0.40 ((~d) | (~c)),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[67, 39])).
% 0.14/0.40 tff(69,plain,
% 0.14/0.40 (~d),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[68, 60])).
% 0.14/0.40 tff(70,plain,
% 0.14/0.40 ((b | (~c) | e) <=> (b | (~c) | e)),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(71,plain,
% 0.14/0.40 (((b | (~c)) | e) <=> (b | (~c) | e)),
% 0.14/0.40 inference(rewrite,[status(thm)],[])).
% 0.14/0.40 tff(72,axiom,((b | (~c)) | e), file('/export/starexec/sandbox/benchmark/theBenchmark.p','clause_8')).
% 0.14/0.40 tff(73,plain,
% 0.14/0.40 (b | (~c) | e),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[72, 71])).
% 0.14/0.40 tff(74,plain,
% 0.14/0.40 (b | (~c) | e),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[73, 70])).
% 0.14/0.40 tff(75,plain,
% 0.14/0.40 (b | (~c) | e),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[74, 70])).
% 0.14/0.40 tff(76,plain,
% 0.14/0.40 (b | (~c) | e),
% 0.14/0.40 inference(modus_ponens,[status(thm)],[75, 70])).
% 0.14/0.40 tff(77,plain,
% 0.14/0.40 ((~c) | e),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[76, 53])).
% 0.14/0.40 tff(78,plain,
% 0.14/0.40 (e),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[77, 60])).
% 0.14/0.40 tff(79,plain,
% 0.14/0.40 ($false),
% 0.14/0.40 inference(unit_resolution,[status(thm)],[20, 78, 69])).
% 0.14/0.40 % SZS output end Proof
% 0.14/0.40 % E exiting
%------------------------------------------------------------------------------