%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ030-2 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n015.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 05:23:13 AM UTC 2025
% Result : Unsatisfiable 0.20s 0.38s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : PUZ030-2 : TPTP v9.0.0. Released v1.0.0.
% 0.04/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n015.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 02:40:40 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.20/0.38 % SZS status Unsatisfiable
% 0.20/0.38 % SZS output start Proof
% 0.20/0.38 tff(salt_dix_type, type, (
% 0.20/0.38 salt_dix: $o)).
% 0.20/0.38 tff(salt_lang_type, type, (
% 0.20/0.38 salt_lang: $o)).
% 0.20/0.38 tff(mustard_cole_type, type, (
% 0.20/0.38 mustard_cole: $o)).
% 0.20/0.38 tff(mustard_lang_type, type, (
% 0.20/0.38 mustard_lang: $o)).
% 0.20/0.38 tff(salt_cole_type, type, (
% 0.20/0.38 salt_cole: $o)).
% 0.20/0.38 tff(salt_barry_type, type, (
% 0.20/0.38 salt_barry: $o)).
% 0.20/0.38 tff(salt_mill_type, type, (
% 0.20/0.38 salt_mill: $o)).
% 0.20/0.38 tff(mustard_mill_type, type, (
% 0.20/0.38 mustard_mill: $o)).
% 0.20/0.38 tff(mustard_barry_type, type, (
% 0.20/0.38 mustard_barry: $o)).
% 0.20/0.38 tff(mustard_dix_type, type, (
% 0.20/0.38 mustard_dix: $o)).
% 0.20/0.38 tff(1,assumption,(~mustard_lang), introduced(assumption)).
% 0.20/0.38 tff(2,assumption,(~salt_cole), introduced(assumption)).
% 0.20/0.38 tff(3,plain,
% 0.20/0.38 ((mustard_lang | mustard_cole | salt_cole) <=> (mustard_lang | mustard_cole | salt_cole)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(4,plain,
% 0.20/0.38 (((mustard_cole | salt_cole) | mustard_lang) <=> (mustard_lang | mustard_cole | salt_cole)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(5,plain,
% 0.20/0.38 ((salt_cole | mustard_cole) <=> (mustard_cole | salt_cole)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(6,plain,
% 0.20/0.38 (((salt_cole | mustard_cole) | mustard_lang) <=> ((mustard_cole | salt_cole) | mustard_lang)),
% 0.20/0.38 inference(monotonicity,[status(thm)],[5])).
% 0.20/0.38 tff(7,plain,
% 0.20/0.38 (((salt_cole | mustard_cole) | mustard_lang) <=> (mustard_lang | mustard_cole | salt_cole)),
% 0.20/0.38 inference(transitivity,[status(thm)],[6, 4])).
% 0.20/0.38 tff(8,axiom,((salt_cole | mustard_cole) | mustard_lang), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c57')).
% 0.20/0.38 tff(9,plain,
% 0.20/0.38 (mustard_lang | mustard_cole | salt_cole),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.20/0.38 tff(10,plain,
% 0.20/0.38 (mustard_lang | mustard_cole | salt_cole),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[9, 3])).
% 0.20/0.38 tff(11,plain,
% 0.20/0.38 (mustard_lang | mustard_cole | salt_cole),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.20/0.38 tff(12,plain,
% 0.20/0.38 (mustard_lang | mustard_cole | salt_cole),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[11, 3])).
% 0.20/0.38 tff(13,plain,
% 0.20/0.38 (mustard_cole),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[12, 2, 1])).
% 0.20/0.38 tff(14,plain,
% 0.20/0.38 ((mustard_lang | (~mustard_cole) | salt_dix) <=> (mustard_lang | (~mustard_cole) | salt_dix)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(15,plain,
% 0.20/0.38 ((((~mustard_cole) | salt_dix) | mustard_lang) <=> (mustard_lang | (~mustard_cole) | salt_dix)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(16,plain,
% 0.20/0.38 (((~mustard_cole) | salt_dix) <=> ((~mustard_cole) | salt_dix)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(17,plain,
% 0.20/0.38 ((((~mustard_cole) | salt_dix) | mustard_lang) <=> (((~mustard_cole) | salt_dix) | mustard_lang)),
% 0.20/0.38 inference(monotonicity,[status(thm)],[16])).
% 0.20/0.38 tff(18,plain,
% 0.20/0.38 ((((~mustard_cole) | salt_dix) | mustard_lang) <=> (mustard_lang | (~mustard_cole) | salt_dix)),
% 0.20/0.38 inference(transitivity,[status(thm)],[17, 15])).
% 0.20/0.38 tff(19,axiom,(((~mustard_cole) | salt_dix) | mustard_lang), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c19')).
% 0.20/0.38 tff(20,plain,
% 0.20/0.38 (mustard_lang | (~mustard_cole) | salt_dix),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[19, 18])).
% 0.20/0.38 tff(21,plain,
% 0.20/0.38 (mustard_lang | (~mustard_cole) | salt_dix),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[20, 14])).
% 0.20/0.38 tff(22,plain,
% 0.20/0.38 (mustard_lang | (~mustard_cole) | salt_dix),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[21, 14])).
% 0.20/0.38 tff(23,plain,
% 0.20/0.38 (mustard_lang | (~mustard_cole) | salt_dix),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[22, 14])).
% 0.20/0.38 tff(24,plain,
% 0.20/0.38 (salt_dix),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[23, 13, 1])).
% 0.20/0.38 tff(25,plain,
% 0.20/0.38 ((salt_barry | (~mustard_cole) | salt_cole) <=> (salt_barry | (~mustard_cole) | salt_cole)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(26,plain,
% 0.20/0.38 (((salt_cole | (~mustard_cole)) | salt_barry) <=> (salt_barry | (~mustard_cole) | salt_cole)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(27,axiom,((salt_cole | (~mustard_cole)) | salt_barry), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c43')).
% 0.20/0.38 tff(28,plain,
% 0.20/0.38 (salt_barry | (~mustard_cole) | salt_cole),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[27, 26])).
% 0.20/0.38 tff(29,plain,
% 0.20/0.38 (salt_barry | (~mustard_cole) | salt_cole),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[28, 25])).
% 0.20/0.38 tff(30,plain,
% 0.20/0.38 (salt_barry | (~mustard_cole) | salt_cole),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[29, 25])).
% 0.20/0.38 tff(31,plain,
% 0.20/0.38 (salt_barry | (~mustard_cole) | salt_cole),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[30, 25])).
% 0.20/0.38 tff(32,plain,
% 0.20/0.38 (salt_barry),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[31, 13, 2])).
% 0.20/0.38 tff(33,plain,
% 0.20/0.38 ((salt_cole | (~salt_dix) | (~salt_barry)) <=> (salt_cole | (~salt_dix) | (~salt_barry))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(34,plain,
% 0.20/0.38 ((((~salt_dix) | (~salt_barry)) | salt_cole) <=> (salt_cole | (~salt_dix) | (~salt_barry))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(35,plain,
% 0.20/0.38 (((~salt_dix) | (~salt_barry)) <=> ((~salt_dix) | (~salt_barry))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(36,plain,
% 0.20/0.38 ((((~salt_dix) | (~salt_barry)) | salt_cole) <=> (((~salt_dix) | (~salt_barry)) | salt_cole)),
% 0.20/0.38 inference(monotonicity,[status(thm)],[35])).
% 0.20/0.38 tff(37,plain,
% 0.20/0.38 ((((~salt_dix) | (~salt_barry)) | salt_cole) <=> (salt_cole | (~salt_dix) | (~salt_barry))),
% 0.20/0.38 inference(transitivity,[status(thm)],[36, 34])).
% 0.20/0.38 tff(38,axiom,(((~salt_dix) | (~salt_barry)) | salt_cole), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c16')).
% 0.20/0.38 tff(39,plain,
% 0.20/0.38 (salt_cole | (~salt_dix) | (~salt_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[38, 37])).
% 0.20/0.38 tff(40,plain,
% 0.20/0.38 (salt_cole | (~salt_dix) | (~salt_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[39, 33])).
% 0.20/0.38 tff(41,plain,
% 0.20/0.38 (salt_cole | (~salt_dix) | (~salt_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[40, 33])).
% 0.20/0.38 tff(42,plain,
% 0.20/0.38 (salt_cole | (~salt_dix) | (~salt_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[41, 33])).
% 0.20/0.38 tff(43,plain,
% 0.20/0.38 ($false),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[42, 32, 24, 2])).
% 0.20/0.38 tff(44,plain,(salt_cole | mustard_lang), inference(lemma,lemma(discharge,[]))).
% 0.20/0.38 tff(45,plain,
% 0.20/0.38 (salt_cole),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[44, 1])).
% 0.20/0.38 tff(46,assumption,(~salt_mill), introduced(assumption)).
% 0.20/0.38 tff(47,plain,
% 0.20/0.38 ((salt_mill | mustard_lang | mustard_mill) <=> (salt_mill | mustard_lang | mustard_mill)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(48,plain,
% 0.20/0.38 (((salt_mill | mustard_mill) | mustard_lang) <=> (salt_mill | mustard_lang | mustard_mill)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(49,plain,
% 0.20/0.38 ((salt_mill | mustard_mill) <=> (salt_mill | mustard_mill)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(50,plain,
% 0.20/0.38 (((salt_mill | mustard_mill) | mustard_lang) <=> ((salt_mill | mustard_mill) | mustard_lang)),
% 0.20/0.38 inference(monotonicity,[status(thm)],[49])).
% 0.20/0.38 tff(51,plain,
% 0.20/0.38 (((salt_mill | mustard_mill) | mustard_lang) <=> (salt_mill | mustard_lang | mustard_mill)),
% 0.20/0.38 inference(transitivity,[status(thm)],[50, 48])).
% 0.20/0.38 tff(52,axiom,((salt_mill | mustard_mill) | mustard_lang), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c56')).
% 0.20/0.38 tff(53,plain,
% 0.20/0.38 (salt_mill | mustard_lang | mustard_mill),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[52, 51])).
% 0.20/0.38 tff(54,plain,
% 0.20/0.38 (salt_mill | mustard_lang | mustard_mill),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[53, 47])).
% 0.20/0.38 tff(55,plain,
% 0.20/0.38 (salt_mill | mustard_lang | mustard_mill),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[54, 47])).
% 0.20/0.38 tff(56,plain,
% 0.20/0.38 (salt_mill | mustard_lang | mustard_mill),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[55, 47])).
% 0.20/0.38 tff(57,plain,
% 0.20/0.38 (mustard_mill),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[56, 1, 46])).
% 0.20/0.38 tff(58,assumption,(mustard_mill), introduced(assumption)).
% 0.20/0.38 tff(59,assumption,(~salt_dix), introduced(assumption)).
% 0.20/0.38 tff(60,plain,
% 0.20/0.38 (~mustard_cole),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[23, 59, 1])).
% 0.20/0.38 tff(61,plain,
% 0.20/0.38 ((salt_barry | mustard_cole | (~salt_cole)) <=> (salt_barry | mustard_cole | (~salt_cole))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(62,plain,
% 0.20/0.38 (((mustard_cole | (~salt_cole)) | salt_barry) <=> (salt_barry | mustard_cole | (~salt_cole))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(63,plain,
% 0.20/0.38 (((~salt_cole) | mustard_cole) <=> (mustard_cole | (~salt_cole))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(64,plain,
% 0.20/0.38 ((((~salt_cole) | mustard_cole) | salt_barry) <=> ((mustard_cole | (~salt_cole)) | salt_barry)),
% 0.20/0.38 inference(monotonicity,[status(thm)],[63])).
% 0.20/0.38 tff(65,plain,
% 0.20/0.38 ((((~salt_cole) | mustard_cole) | salt_barry) <=> (salt_barry | mustard_cole | (~salt_cole))),
% 0.20/0.38 inference(transitivity,[status(thm)],[64, 62])).
% 0.20/0.38 tff(66,axiom,(((~salt_cole) | mustard_cole) | salt_barry), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c44')).
% 0.20/0.38 tff(67,plain,
% 0.20/0.38 (salt_barry | mustard_cole | (~salt_cole)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[66, 65])).
% 0.20/0.38 tff(68,plain,
% 0.20/0.38 (salt_barry | mustard_cole | (~salt_cole)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[67, 61])).
% 0.20/0.38 tff(69,plain,
% 0.20/0.38 (salt_barry | mustard_cole | (~salt_cole)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[68, 61])).
% 0.20/0.38 tff(70,plain,
% 0.20/0.38 (salt_barry | mustard_cole | (~salt_cole)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[69, 61])).
% 0.20/0.38 tff(71,plain,
% 0.20/0.38 (salt_barry),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[70, 60, 45])).
% 0.20/0.38 tff(72,plain,
% 0.20/0.38 (((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)) <=> ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(73,plain,
% 0.20/0.38 ((((~salt_cole) | (~mustard_barry) | (~salt_barry)) | (~mustard_mill)) <=> ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(74,plain,
% 0.20/0.38 ((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) <=> ((~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(75,plain,
% 0.20/0.38 (((~salt_cole) | (~mustard_barry)) <=> ((~salt_cole) | (~mustard_barry))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(76,plain,
% 0.20/0.38 ((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) <=> (((~salt_cole) | (~mustard_barry)) | (~salt_barry))),
% 0.20/0.38 inference(monotonicity,[status(thm)],[75])).
% 0.20/0.38 tff(77,plain,
% 0.20/0.38 ((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) <=> ((~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.20/0.38 inference(transitivity,[status(thm)],[76, 74])).
% 0.20/0.38 tff(78,plain,
% 0.20/0.38 (((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) | (~mustard_mill)) <=> (((~salt_cole) | (~mustard_barry) | (~salt_barry)) | (~mustard_mill))),
% 0.20/0.38 inference(monotonicity,[status(thm)],[77])).
% 0.20/0.38 tff(79,plain,
% 0.20/0.38 (((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) | (~mustard_mill)) <=> ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.20/0.38 inference(transitivity,[status(thm)],[78, 73])).
% 0.20/0.38 tff(80,axiom,((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) | (~mustard_mill)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c45')).
% 0.20/0.38 tff(81,plain,
% 0.20/0.38 ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[80, 79])).
% 0.20/0.38 tff(82,plain,
% 0.20/0.38 ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[81, 72])).
% 0.20/0.38 tff(83,plain,
% 0.20/0.38 ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[82, 72])).
% 0.20/0.38 tff(84,plain,
% 0.20/0.38 ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[83, 72])).
% 0.20/0.38 tff(85,plain,
% 0.20/0.38 (~mustard_barry),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[84, 71, 58, 45])).
% 0.20/0.38 tff(86,plain,
% 0.20/0.38 (((mustard_barry | (~salt_barry)) | salt_lang) <=> (mustard_barry | salt_lang | (~salt_barry))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(87,plain,
% 0.20/0.38 (((~salt_barry) | mustard_barry) <=> (mustard_barry | (~salt_barry))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(88,plain,
% 0.20/0.38 ((((~salt_barry) | mustard_barry) | salt_lang) <=> ((mustard_barry | (~salt_barry)) | salt_lang)),
% 0.20/0.38 inference(monotonicity,[status(thm)],[87])).
% 0.20/0.38 tff(89,plain,
% 0.20/0.38 ((((~salt_barry) | mustard_barry) | salt_lang) <=> (mustard_barry | salt_lang | (~salt_barry))),
% 0.20/0.38 inference(transitivity,[status(thm)],[88, 86])).
% 0.20/0.38 tff(90,axiom,(((~salt_barry) | mustard_barry) | salt_lang), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c34')).
% 0.20/0.38 tff(91,plain,
% 0.20/0.38 (mustard_barry | salt_lang | (~salt_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[90, 89])).
% 0.20/0.38 tff(92,plain,
% 0.20/0.38 (salt_lang),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[91, 85, 71])).
% 0.20/0.38 tff(93,plain,
% 0.20/0.38 (((mustard_dix | salt_dix) | mustard_barry) <=> (mustard_barry | mustard_dix | salt_dix)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(94,plain,
% 0.20/0.38 ((salt_dix | mustard_dix) <=> (mustard_dix | salt_dix)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(95,plain,
% 0.20/0.38 (((salt_dix | mustard_dix) | mustard_barry) <=> ((mustard_dix | salt_dix) | mustard_barry)),
% 0.20/0.38 inference(monotonicity,[status(thm)],[94])).
% 0.20/0.38 tff(96,plain,
% 0.20/0.38 (((salt_dix | mustard_dix) | mustard_barry) <=> (mustard_barry | mustard_dix | salt_dix)),
% 0.20/0.38 inference(transitivity,[status(thm)],[95, 93])).
% 0.20/0.38 tff(97,axiom,((salt_dix | mustard_dix) | mustard_barry), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c62')).
% 0.20/0.38 tff(98,plain,
% 0.20/0.38 (mustard_barry | mustard_dix | salt_dix),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[97, 96])).
% 0.20/0.38 tff(99,plain,
% 0.20/0.38 (mustard_dix),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[98, 85, 59])).
% 0.20/0.38 tff(100,plain,
% 0.20/0.38 (((~mustard_mill) | (~mustard_dix) | (~salt_lang)) <=> ((~mustard_mill) | (~mustard_dix) | (~salt_lang))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(101,plain,
% 0.20/0.38 ((((~mustard_dix) | (~salt_lang)) | (~mustard_mill)) <=> ((~mustard_mill) | (~mustard_dix) | (~salt_lang))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(102,axiom,(((~mustard_dix) | (~salt_lang)) | (~mustard_mill)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c11')).
% 0.20/0.38 tff(103,plain,
% 0.20/0.38 ((~mustard_mill) | (~mustard_dix) | (~salt_lang)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[102, 101])).
% 0.20/0.38 tff(104,plain,
% 0.20/0.38 ((~mustard_mill) | (~mustard_dix) | (~salt_lang)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[103, 100])).
% 0.20/0.38 tff(105,plain,
% 0.20/0.38 ((~mustard_mill) | (~mustard_dix) | (~salt_lang)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[104, 100])).
% 0.20/0.38 tff(106,plain,
% 0.20/0.38 ((~mustard_mill) | (~mustard_dix) | (~salt_lang)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[105, 100])).
% 0.20/0.38 tff(107,plain,
% 0.20/0.38 ($false),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[106, 99, 92, 58])).
% 0.20/0.38 tff(108,plain,(salt_dix | (~mustard_mill) | mustard_lang), inference(lemma,lemma(discharge,[]))).
% 0.20/0.38 tff(109,plain,
% 0.20/0.38 (salt_dix),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[108, 57, 1])).
% 0.20/0.38 tff(110,plain,
% 0.20/0.38 ((salt_mill | (~salt_dix) | (~mustard_barry)) <=> (salt_mill | (~salt_dix) | (~mustard_barry))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(111,plain,
% 0.20/0.38 ((((~mustard_barry) | (~salt_dix)) | salt_mill) <=> (salt_mill | (~salt_dix) | (~mustard_barry))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(112,axiom,(((~mustard_barry) | (~salt_dix)) | salt_mill), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c24')).
% 0.20/0.38 tff(113,plain,
% 0.20/0.38 (salt_mill | (~salt_dix) | (~mustard_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[112, 111])).
% 0.20/0.38 tff(114,plain,
% 0.20/0.38 (salt_mill | (~salt_dix) | (~mustard_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[113, 110])).
% 0.20/0.38 tff(115,plain,
% 0.20/0.38 (salt_mill | (~salt_dix) | (~mustard_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[114, 110])).
% 0.20/0.38 tff(116,plain,
% 0.20/0.38 (salt_mill | (~salt_dix) | (~mustard_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[115, 110])).
% 0.20/0.38 tff(117,plain,
% 0.20/0.38 (~mustard_barry),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[116, 109, 46])).
% 0.20/0.38 tff(118,plain,
% 0.20/0.38 (((mustard_barry | salt_barry | (~salt_cole)) | (~mustard_mill)) <=> (mustard_barry | salt_barry | (~mustard_mill) | (~salt_cole))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(119,plain,
% 0.20/0.38 (((salt_barry | (~salt_cole)) | mustard_barry) <=> (mustard_barry | salt_barry | (~salt_cole))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(120,plain,
% 0.20/0.38 (((~salt_cole) | salt_barry) <=> (salt_barry | (~salt_cole))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(121,plain,
% 0.20/0.38 ((((~salt_cole) | salt_barry) | mustard_barry) <=> ((salt_barry | (~salt_cole)) | mustard_barry)),
% 0.20/0.38 inference(monotonicity,[status(thm)],[120])).
% 0.20/0.38 tff(122,plain,
% 0.20/0.38 ((((~salt_cole) | salt_barry) | mustard_barry) <=> (mustard_barry | salt_barry | (~salt_cole))),
% 0.20/0.38 inference(transitivity,[status(thm)],[121, 119])).
% 0.20/0.38 tff(123,plain,
% 0.20/0.38 (((((~salt_cole) | salt_barry) | mustard_barry) | (~mustard_mill)) <=> ((mustard_barry | salt_barry | (~salt_cole)) | (~mustard_mill))),
% 0.20/0.38 inference(monotonicity,[status(thm)],[122])).
% 0.20/0.38 tff(124,plain,
% 0.20/0.38 (((((~salt_cole) | salt_barry) | mustard_barry) | (~mustard_mill)) <=> (mustard_barry | salt_barry | (~mustard_mill) | (~salt_cole))),
% 0.20/0.38 inference(transitivity,[status(thm)],[123, 118])).
% 0.20/0.38 tff(125,axiom,((((~salt_cole) | salt_barry) | mustard_barry) | (~mustard_mill)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c47')).
% 0.20/0.38 tff(126,plain,
% 0.20/0.38 (mustard_barry | salt_barry | (~mustard_mill) | (~salt_cole)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.20/0.38 tff(127,plain,
% 0.20/0.38 (salt_barry),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[126, 117, 57, 45])).
% 0.20/0.38 tff(128,plain,
% 0.20/0.38 ((mustard_cole | (~salt_dix) | (~salt_barry)) <=> (mustard_cole | (~salt_dix) | (~salt_barry))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(129,plain,
% 0.20/0.38 ((((~salt_dix) | (~salt_barry)) | mustard_cole) <=> (mustard_cole | (~salt_dix) | (~salt_barry))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(130,plain,
% 0.20/0.38 ((((~salt_dix) | (~salt_barry)) | mustard_cole) <=> (((~salt_dix) | (~salt_barry)) | mustard_cole)),
% 0.20/0.38 inference(monotonicity,[status(thm)],[35])).
% 0.20/0.38 tff(131,plain,
% 0.20/0.38 ((((~salt_dix) | (~salt_barry)) | mustard_cole) <=> (mustard_cole | (~salt_dix) | (~salt_barry))),
% 0.20/0.38 inference(transitivity,[status(thm)],[130, 129])).
% 0.20/0.38 tff(132,axiom,(((~salt_dix) | (~salt_barry)) | mustard_cole), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c15')).
% 0.20/0.38 tff(133,plain,
% 0.20/0.38 (mustard_cole | (~salt_dix) | (~salt_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[132, 131])).
% 0.20/0.38 tff(134,plain,
% 0.20/0.38 (mustard_cole | (~salt_dix) | (~salt_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[133, 128])).
% 0.20/0.38 tff(135,plain,
% 0.20/0.38 (mustard_cole | (~salt_dix) | (~salt_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[134, 128])).
% 0.20/0.38 tff(136,plain,
% 0.20/0.38 (mustard_cole | (~salt_dix) | (~salt_barry)),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[135, 128])).
% 0.20/0.38 tff(137,plain,
% 0.20/0.38 (mustard_cole),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[136, 127, 109])).
% 0.20/0.38 tff(138,plain,
% 0.20/0.38 ((mustard_lang | (~mustard_cole) | mustard_dix) <=> (mustard_lang | (~mustard_cole) | mustard_dix)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(139,plain,
% 0.20/0.38 ((((~mustard_cole) | mustard_dix) | mustard_lang) <=> (mustard_lang | (~mustard_cole) | mustard_dix)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(140,plain,
% 0.20/0.38 (((~mustard_cole) | mustard_dix) <=> ((~mustard_cole) | mustard_dix)),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(141,plain,
% 0.20/0.38 ((((~mustard_cole) | mustard_dix) | mustard_lang) <=> (((~mustard_cole) | mustard_dix) | mustard_lang)),
% 0.20/0.38 inference(monotonicity,[status(thm)],[140])).
% 0.20/0.38 tff(142,plain,
% 0.20/0.38 ((((~mustard_cole) | mustard_dix) | mustard_lang) <=> (mustard_lang | (~mustard_cole) | mustard_dix)),
% 0.20/0.38 inference(transitivity,[status(thm)],[141, 139])).
% 0.20/0.38 tff(143,axiom,(((~mustard_cole) | mustard_dix) | mustard_lang), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c17')).
% 0.20/0.38 tff(144,plain,
% 0.20/0.38 (mustard_lang | (~mustard_cole) | mustard_dix),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[143, 142])).
% 0.20/0.38 tff(145,plain,
% 0.20/0.38 (mustard_lang | (~mustard_cole) | mustard_dix),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[144, 138])).
% 0.20/0.38 tff(146,plain,
% 0.20/0.38 (mustard_lang | (~mustard_cole) | mustard_dix),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[145, 138])).
% 0.20/0.38 tff(147,plain,
% 0.20/0.38 (mustard_lang | (~mustard_cole) | mustard_dix),
% 0.20/0.38 inference(modus_ponens,[status(thm)],[146, 138])).
% 0.20/0.38 tff(148,plain,
% 0.20/0.38 (mustard_dix),
% 0.20/0.38 inference(unit_resolution,[status(thm)],[147, 137, 1])).
% 0.20/0.38 tff(149,plain,
% 0.20/0.38 (((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix)) <=> ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix))),
% 0.20/0.38 inference(rewrite,[status(thm)],[])).
% 0.20/0.38 tff(150,plain,
% 0.20/0.38 ((((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix)) | (~salt_dix)) <=> ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(151,plain,
% 0.20/0.39 ((((~mustard_cole) | (~mustard_mill) | (~salt_cole)) | (~mustard_dix)) <=> ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(152,plain,
% 0.20/0.39 ((((~mustard_cole) | (~mustard_mill)) | (~salt_cole)) <=> ((~mustard_cole) | (~mustard_mill) | (~salt_cole))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(153,plain,
% 0.20/0.39 (((~mustard_mill) | (~mustard_cole)) <=> ((~mustard_cole) | (~mustard_mill))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(154,plain,
% 0.20/0.39 ((((~mustard_mill) | (~mustard_cole)) | (~salt_cole)) <=> (((~mustard_cole) | (~mustard_mill)) | (~salt_cole))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[153])).
% 0.20/0.39 tff(155,plain,
% 0.20/0.39 ((((~mustard_mill) | (~mustard_cole)) | (~salt_cole)) <=> ((~mustard_cole) | (~mustard_mill) | (~salt_cole))),
% 0.20/0.39 inference(transitivity,[status(thm)],[154, 152])).
% 0.20/0.39 tff(156,plain,
% 0.20/0.39 (((((~mustard_mill) | (~mustard_cole)) | (~salt_cole)) | (~mustard_dix)) <=> (((~mustard_cole) | (~mustard_mill) | (~salt_cole)) | (~mustard_dix))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[155])).
% 0.20/0.39 tff(157,plain,
% 0.20/0.39 (((((~mustard_mill) | (~mustard_cole)) | (~salt_cole)) | (~mustard_dix)) <=> ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix))),
% 0.20/0.39 inference(transitivity,[status(thm)],[156, 151])).
% 0.20/0.39 tff(158,plain,
% 0.20/0.39 ((((((~mustard_mill) | (~mustard_cole)) | (~salt_cole)) | (~mustard_dix)) | (~salt_dix)) <=> (((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix)) | (~salt_dix))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[157])).
% 0.20/0.39 tff(159,plain,
% 0.20/0.39 ((((((~mustard_mill) | (~mustard_cole)) | (~salt_cole)) | (~mustard_dix)) | (~salt_dix)) <=> ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix))),
% 0.20/0.39 inference(transitivity,[status(thm)],[158, 150])).
% 0.20/0.39 tff(160,axiom,(((((~mustard_mill) | (~mustard_cole)) | (~salt_cole)) | (~mustard_dix)) | (~salt_dix)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c49')).
% 0.20/0.39 tff(161,plain,
% 0.20/0.39 ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[160, 159])).
% 0.20/0.39 tff(162,plain,
% 0.20/0.39 ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[161, 149])).
% 0.20/0.39 tff(163,plain,
% 0.20/0.39 ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[162, 149])).
% 0.20/0.39 tff(164,plain,
% 0.20/0.39 ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[163, 149])).
% 0.20/0.39 tff(165,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[164, 148, 137, 57, 45, 109])).
% 0.20/0.39 tff(166,plain,(mustard_lang | salt_mill), inference(lemma,lemma(discharge,[]))).
% 0.20/0.39 tff(167,plain,
% 0.20/0.39 (mustard_lang),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[166, 46])).
% 0.20/0.39 tff(168,plain,
% 0.20/0.39 ((((~mustard_lang) | (~salt_lang)) | salt_mill) <=> (salt_mill | (~mustard_lang) | (~salt_lang))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(169,plain,
% 0.20/0.39 (((~salt_lang) | (~mustard_lang)) <=> ((~mustard_lang) | (~salt_lang))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(170,plain,
% 0.20/0.39 ((((~salt_lang) | (~mustard_lang)) | salt_mill) <=> (((~mustard_lang) | (~salt_lang)) | salt_mill)),
% 0.20/0.39 inference(monotonicity,[status(thm)],[169])).
% 0.20/0.39 tff(171,plain,
% 0.20/0.39 ((((~salt_lang) | (~mustard_lang)) | salt_mill) <=> (salt_mill | (~mustard_lang) | (~salt_lang))),
% 0.20/0.39 inference(transitivity,[status(thm)],[170, 168])).
% 0.20/0.39 tff(172,axiom,(((~salt_lang) | (~mustard_lang)) | salt_mill), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c29')).
% 0.20/0.39 tff(173,plain,
% 0.20/0.39 (salt_mill | (~mustard_lang) | (~salt_lang)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[172, 171])).
% 0.20/0.39 tff(174,plain,
% 0.20/0.39 (~salt_lang),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[173, 167, 46])).
% 0.20/0.39 tff(175,plain,
% 0.20/0.39 ((salt_lang | salt_barry | (~mustard_lang)) <=> (salt_lang | salt_barry | (~mustard_lang))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(176,plain,
% 0.20/0.39 (((salt_lang | (~mustard_lang)) | salt_barry) <=> (salt_lang | salt_barry | (~mustard_lang))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(177,axiom,((salt_lang | (~mustard_lang)) | salt_barry), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c41')).
% 0.20/0.39 tff(178,plain,
% 0.20/0.39 (salt_lang | salt_barry | (~mustard_lang)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[177, 176])).
% 0.20/0.39 tff(179,plain,
% 0.20/0.39 (salt_lang | salt_barry | (~mustard_lang)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[178, 175])).
% 0.20/0.39 tff(180,plain,
% 0.20/0.39 (salt_lang | salt_barry | (~mustard_lang)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[179, 175])).
% 0.20/0.39 tff(181,plain,
% 0.20/0.39 (salt_lang | salt_barry | (~mustard_lang)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[180, 175])).
% 0.20/0.39 tff(182,plain,
% 0.20/0.39 (salt_barry),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[181, 174, 167])).
% 0.20/0.39 tff(183,plain,
% 0.20/0.39 ((((~mustard_barry) | (~salt_barry)) | salt_mill) <=> (salt_mill | (~mustard_barry) | (~salt_barry))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(184,plain,
% 0.20/0.39 (((~salt_barry) | (~mustard_barry)) <=> ((~mustard_barry) | (~salt_barry))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(185,plain,
% 0.20/0.39 ((((~salt_barry) | (~mustard_barry)) | salt_mill) <=> (((~mustard_barry) | (~salt_barry)) | salt_mill)),
% 0.20/0.39 inference(monotonicity,[status(thm)],[184])).
% 0.20/0.39 tff(186,plain,
% 0.20/0.39 ((((~salt_barry) | (~mustard_barry)) | salt_mill) <=> (salt_mill | (~mustard_barry) | (~salt_barry))),
% 0.20/0.39 inference(transitivity,[status(thm)],[185, 183])).
% 0.20/0.39 tff(187,axiom,(((~salt_barry) | (~mustard_barry)) | salt_mill), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c30')).
% 0.20/0.39 tff(188,plain,
% 0.20/0.39 (salt_mill | (~mustard_barry) | (~salt_barry)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[187, 186])).
% 0.20/0.39 tff(189,plain,
% 0.20/0.39 (~mustard_barry),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[188, 182, 46])).
% 0.20/0.39 tff(190,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[91, 189, 182, 174])).
% 0.20/0.39 tff(191,plain,(salt_mill), inference(lemma,lemma(discharge,[]))).
% 0.20/0.39 tff(192,plain,
% 0.20/0.39 (((~salt_mill) | mustard_lang | salt_barry) <=> ((~salt_mill) | mustard_lang | salt_barry)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(193,plain,
% 0.20/0.39 ((((~salt_mill) | salt_barry) | mustard_lang) <=> ((~salt_mill) | mustard_lang | salt_barry)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(194,plain,
% 0.20/0.39 (((~salt_mill) | salt_barry) <=> ((~salt_mill) | salt_barry)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(195,plain,
% 0.20/0.39 ((((~salt_mill) | salt_barry) | mustard_lang) <=> (((~salt_mill) | salt_barry) | mustard_lang)),
% 0.20/0.39 inference(monotonicity,[status(thm)],[194])).
% 0.20/0.39 tff(196,plain,
% 0.20/0.39 ((((~salt_mill) | salt_barry) | mustard_lang) <=> ((~salt_mill) | mustard_lang | salt_barry)),
% 0.20/0.39 inference(transitivity,[status(thm)],[195, 193])).
% 0.20/0.39 tff(197,axiom,(((~salt_mill) | salt_barry) | mustard_lang), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c3')).
% 0.20/0.39 tff(198,plain,
% 0.20/0.39 ((~salt_mill) | mustard_lang | salt_barry),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[197, 196])).
% 0.20/0.39 tff(199,plain,
% 0.20/0.39 ((~salt_mill) | mustard_lang | salt_barry),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[198, 192])).
% 0.20/0.39 tff(200,plain,
% 0.20/0.39 ((~salt_mill) | mustard_lang | salt_barry),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[199, 192])).
% 0.20/0.39 tff(201,plain,
% 0.20/0.39 ((~salt_mill) | mustard_lang | salt_barry),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[200, 192])).
% 0.20/0.39 tff(202,plain,
% 0.20/0.39 (mustard_lang | salt_barry),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[201, 191])).
% 0.20/0.39 tff(203,plain,
% 0.20/0.39 (salt_barry),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[202, 1])).
% 0.20/0.39 tff(204,plain,
% 0.20/0.39 (((~salt_mill) | mustard_barry | mustard_lang) <=> ((~salt_mill) | mustard_barry | mustard_lang)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(205,plain,
% 0.20/0.39 ((((~salt_mill) | mustard_barry) | mustard_lang) <=> ((~salt_mill) | mustard_barry | mustard_lang)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(206,plain,
% 0.20/0.39 (((~salt_mill) | mustard_barry) <=> ((~salt_mill) | mustard_barry)),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(207,plain,
% 0.20/0.39 ((((~salt_mill) | mustard_barry) | mustard_lang) <=> (((~salt_mill) | mustard_barry) | mustard_lang)),
% 0.20/0.39 inference(monotonicity,[status(thm)],[206])).
% 0.20/0.39 tff(208,plain,
% 0.20/0.39 ((((~salt_mill) | mustard_barry) | mustard_lang) <=> ((~salt_mill) | mustard_barry | mustard_lang)),
% 0.20/0.39 inference(transitivity,[status(thm)],[207, 205])).
% 0.20/0.39 tff(209,axiom,(((~salt_mill) | mustard_barry) | mustard_lang), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c1')).
% 0.20/0.39 tff(210,plain,
% 0.20/0.39 ((~salt_mill) | mustard_barry | mustard_lang),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[209, 208])).
% 0.20/0.39 tff(211,plain,
% 0.20/0.39 ((~salt_mill) | mustard_barry | mustard_lang),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[210, 204])).
% 0.20/0.39 tff(212,plain,
% 0.20/0.39 ((~salt_mill) | mustard_barry | mustard_lang),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[211, 204])).
% 0.20/0.39 tff(213,plain,
% 0.20/0.39 ((~salt_mill) | mustard_barry | mustard_lang),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[212, 204])).
% 0.20/0.39 tff(214,plain,
% 0.20/0.39 (mustard_barry | mustard_lang),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[213, 191])).
% 0.20/0.39 tff(215,plain,
% 0.20/0.39 (mustard_barry),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[214, 1])).
% 0.20/0.39 tff(216,plain,
% 0.20/0.39 (((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)) <=> ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(217,plain,
% 0.20/0.39 ((((~salt_cole) | (~mustard_barry) | (~salt_barry)) | (~salt_mill)) <=> ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(218,plain,
% 0.20/0.39 (((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) <=> (((~salt_cole) | (~mustard_barry) | (~salt_barry)) | (~salt_mill))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[77])).
% 0.20/0.39 tff(219,plain,
% 0.20/0.39 (((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) <=> ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.20/0.39 inference(transitivity,[status(thm)],[218, 217])).
% 0.20/0.39 tff(220,axiom,((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c46')).
% 0.20/0.39 tff(221,plain,
% 0.20/0.39 ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[220, 219])).
% 0.20/0.39 tff(222,plain,
% 0.20/0.39 ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[221, 216])).
% 0.20/0.39 tff(223,plain,
% 0.20/0.39 ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[222, 216])).
% 0.20/0.39 tff(224,plain,
% 0.20/0.39 ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[223, 216])).
% 0.20/0.39 tff(225,plain,
% 0.20/0.39 ((~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[224, 191])).
% 0.20/0.39 tff(226,plain,
% 0.20/0.39 ($false),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[225, 215, 203, 45])).
% 0.20/0.39 tff(227,plain,(mustard_lang), inference(lemma,lemma(discharge,[]))).
% 0.20/0.39 tff(228,plain,
% 0.20/0.39 (((~salt_mill) | (~mustard_lang) | (~mustard_cole)) <=> ((~salt_mill) | (~mustard_lang) | (~mustard_cole))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(229,plain,
% 0.20/0.39 ((((~mustard_lang) | (~mustard_cole)) | (~salt_mill)) <=> ((~salt_mill) | (~mustard_lang) | (~mustard_cole))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(230,plain,
% 0.20/0.39 (((~mustard_lang) | (~mustard_cole)) <=> ((~mustard_lang) | (~mustard_cole))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(231,plain,
% 0.20/0.39 ((((~mustard_lang) | (~mustard_cole)) | (~salt_mill)) <=> (((~mustard_lang) | (~mustard_cole)) | (~salt_mill))),
% 0.20/0.39 inference(monotonicity,[status(thm)],[230])).
% 0.20/0.39 tff(232,plain,
% 0.20/0.39 ((((~mustard_lang) | (~mustard_cole)) | (~salt_mill)) <=> ((~salt_mill) | (~mustard_lang) | (~mustard_cole))),
% 0.20/0.39 inference(transitivity,[status(thm)],[231, 229])).
% 0.20/0.39 tff(233,axiom,(((~mustard_lang) | (~mustard_cole)) | (~salt_mill)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c6')).
% 0.20/0.39 tff(234,plain,
% 0.20/0.39 ((~salt_mill) | (~mustard_lang) | (~mustard_cole)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[233, 232])).
% 0.20/0.39 tff(235,plain,
% 0.20/0.39 ((~salt_mill) | (~mustard_lang) | (~mustard_cole)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[234, 228])).
% 0.20/0.39 tff(236,plain,
% 0.20/0.39 ((~salt_mill) | (~mustard_lang) | (~mustard_cole)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[235, 228])).
% 0.20/0.39 tff(237,plain,
% 0.20/0.39 ((~salt_mill) | (~mustard_lang) | (~mustard_cole)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[236, 228])).
% 0.20/0.39 tff(238,plain,
% 0.20/0.39 ((~mustard_lang) | (~mustard_cole)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[237, 191])).
% 0.20/0.39 tff(239,plain,
% 0.20/0.39 (~mustard_cole),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[238, 227])).
% 0.20/0.39 tff(240,plain,
% 0.20/0.39 (((~mustard_lang) | mustard_cole | (~salt_lang)) <=> ((~mustard_lang) | mustard_cole | (~salt_lang))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(241,plain,
% 0.20/0.39 ((((~mustard_lang) | (~salt_lang)) | mustard_cole) <=> ((~mustard_lang) | mustard_cole | (~salt_lang))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(242,plain,
% 0.20/0.39 ((((~salt_lang) | (~mustard_lang)) | mustard_cole) <=> (((~mustard_lang) | (~salt_lang)) | mustard_cole)),
% 0.20/0.39 inference(monotonicity,[status(thm)],[169])).
% 0.20/0.39 tff(243,plain,
% 0.20/0.39 ((((~salt_lang) | (~mustard_lang)) | mustard_cole) <=> ((~mustard_lang) | mustard_cole | (~salt_lang))),
% 0.20/0.39 inference(transitivity,[status(thm)],[242, 241])).
% 0.20/0.39 tff(244,axiom,(((~salt_lang) | (~mustard_lang)) | mustard_cole), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c36')).
% 0.20/0.39 tff(245,plain,
% 0.20/0.39 ((~mustard_lang) | mustard_cole | (~salt_lang)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[244, 243])).
% 0.20/0.39 tff(246,plain,
% 0.20/0.39 ((~mustard_lang) | mustard_cole | (~salt_lang)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[245, 240])).
% 0.20/0.39 tff(247,plain,
% 0.20/0.39 ((~mustard_lang) | mustard_cole | (~salt_lang)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[246, 240])).
% 0.20/0.39 tff(248,plain,
% 0.20/0.39 ((~mustard_lang) | mustard_cole | (~salt_lang)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[247, 240])).
% 0.20/0.39 tff(249,plain,
% 0.20/0.39 (~salt_lang),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[248, 227, 239])).
% 0.20/0.39 tff(250,plain,
% 0.20/0.39 (((~salt_mill) | (~mustard_lang) | (~mustard_dix)) <=> ((~salt_mill) | (~mustard_lang) | (~mustard_dix))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(251,plain,
% 0.20/0.39 ((((~mustard_dix) | (~mustard_lang)) | (~salt_mill)) <=> ((~salt_mill) | (~mustard_lang) | (~mustard_dix))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(252,axiom,(((~mustard_dix) | (~mustard_lang)) | (~salt_mill)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c10')).
% 0.20/0.39 tff(253,plain,
% 0.20/0.39 ((~salt_mill) | (~mustard_lang) | (~mustard_dix)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[252, 251])).
% 0.20/0.39 tff(254,plain,
% 0.20/0.39 ((~salt_mill) | (~mustard_lang) | (~mustard_dix)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[253, 250])).
% 0.20/0.39 tff(255,plain,
% 0.20/0.39 ((~salt_mill) | (~mustard_lang) | (~mustard_dix)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[254, 250])).
% 0.20/0.39 tff(256,plain,
% 0.20/0.39 ((~salt_mill) | (~mustard_lang) | (~mustard_dix)),
% 0.20/0.39 inference(modus_ponens,[status(thm)],[255, 250])).
% 0.20/0.39 tff(257,plain,
% 0.20/0.39 ((~mustard_lang) | (~mustard_dix)),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[256, 191])).
% 0.20/0.39 tff(258,plain,
% 0.20/0.39 (~mustard_dix),
% 0.20/0.39 inference(unit_resolution,[status(thm)],[257, 227])).
% 0.20/0.39 tff(259,plain,
% 0.20/0.39 ((salt_lang | mustard_dix | (~salt_dix)) <=> (salt_lang | mustard_dix | (~salt_dix))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(260,plain,
% 0.20/0.39 (((mustard_dix | (~salt_dix)) | salt_lang) <=> (salt_lang | mustard_dix | (~salt_dix))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(261,plain,
% 0.20/0.39 (((~salt_dix) | mustard_dix) <=> (mustard_dix | (~salt_dix))),
% 0.20/0.39 inference(rewrite,[status(thm)],[])).
% 0.20/0.39 tff(262,plain,
% 0.20/0.39 ((((~salt_dix) | mustard_dix) | salt_lang) <=> ((mustard_dix | (~salt_dix)) | salt_lang)),
% 0.20/0.39 inference(monotonicity,[status(thm)],[261])).
% 0.20/0.39 tff(263,plain,
% 0.20/0.39 ((((~salt_dix) | mustard_dix) | salt_lang) <=> (salt_lang | mustard_dix | (~salt_dix))),
% 0.20/0.39 inference(transitivity,[status(thm)],[262, 260])).
% 0.20/0.39 tff(264,axiom,(((~salt_dix) | mustard_dix) | salt_lang), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c32')).
% 0.20/0.40 tff(265,plain,
% 0.20/0.40 (salt_lang | mustard_dix | (~salt_dix)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[264, 263])).
% 0.20/0.40 tff(266,plain,
% 0.20/0.40 (salt_lang | mustard_dix | (~salt_dix)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[265, 259])).
% 0.20/0.40 tff(267,plain,
% 0.20/0.40 (salt_lang | mustard_dix | (~salt_dix)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[266, 259])).
% 0.20/0.40 tff(268,plain,
% 0.20/0.40 (salt_lang | mustard_dix | (~salt_dix)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[267, 259])).
% 0.20/0.40 tff(269,plain,
% 0.20/0.40 (~salt_dix),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[268, 258, 249])).
% 0.20/0.40 tff(270,plain,
% 0.20/0.40 (((~salt_mill) | (~mustard_lang) | (~salt_cole)) <=> ((~salt_mill) | (~mustard_lang) | (~salt_cole))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(271,plain,
% 0.20/0.40 ((((~mustard_lang) | (~salt_cole)) | (~salt_mill)) <=> ((~salt_mill) | (~mustard_lang) | (~salt_cole))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(272,axiom,(((~mustard_lang) | (~salt_cole)) | (~salt_mill)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c8')).
% 0.20/0.40 tff(273,plain,
% 0.20/0.40 ((~salt_mill) | (~mustard_lang) | (~salt_cole)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[272, 271])).
% 0.20/0.40 tff(274,plain,
% 0.20/0.40 ((~salt_mill) | (~mustard_lang) | (~salt_cole)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[273, 270])).
% 0.20/0.40 tff(275,plain,
% 0.20/0.40 ((~salt_mill) | (~mustard_lang) | (~salt_cole)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[274, 270])).
% 0.20/0.40 tff(276,plain,
% 0.20/0.40 ((~salt_mill) | (~mustard_lang) | (~salt_cole)),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[275, 270])).
% 0.20/0.40 tff(277,plain,
% 0.20/0.40 ((~mustard_lang) | (~salt_cole)),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[276, 191])).
% 0.20/0.40 tff(278,plain,
% 0.20/0.40 (~salt_cole),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[277, 227])).
% 0.20/0.40 tff(279,plain,
% 0.20/0.40 ((mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix) <=> (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(280,plain,
% 0.20/0.40 (((mustard_cole | (~mustard_mill) | salt_cole | salt_dix) | mustard_dix) <=> (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(281,plain,
% 0.20/0.40 (((mustard_cole | (~mustard_mill) | salt_cole) | salt_dix) <=> (mustard_cole | (~mustard_mill) | salt_cole | salt_dix)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(282,plain,
% 0.20/0.40 ((((~mustard_mill) | salt_cole) | mustard_cole) <=> (mustard_cole | (~mustard_mill) | salt_cole)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(283,plain,
% 0.20/0.40 (((~mustard_mill) | salt_cole) <=> ((~mustard_mill) | salt_cole)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(284,plain,
% 0.20/0.40 ((((~mustard_mill) | salt_cole) | mustard_cole) <=> (((~mustard_mill) | salt_cole) | mustard_cole)),
% 0.20/0.40 inference(monotonicity,[status(thm)],[283])).
% 0.20/0.40 tff(285,plain,
% 0.20/0.40 ((((~mustard_mill) | salt_cole) | mustard_cole) <=> (mustard_cole | (~mustard_mill) | salt_cole)),
% 0.20/0.40 inference(transitivity,[status(thm)],[284, 282])).
% 0.20/0.40 tff(286,plain,
% 0.20/0.40 (((((~mustard_mill) | salt_cole) | mustard_cole) | salt_dix) <=> ((mustard_cole | (~mustard_mill) | salt_cole) | salt_dix)),
% 0.20/0.40 inference(monotonicity,[status(thm)],[285])).
% 0.20/0.40 tff(287,plain,
% 0.20/0.40 (((((~mustard_mill) | salt_cole) | mustard_cole) | salt_dix) <=> (mustard_cole | (~mustard_mill) | salt_cole | salt_dix)),
% 0.20/0.40 inference(transitivity,[status(thm)],[286, 281])).
% 0.20/0.40 tff(288,plain,
% 0.20/0.40 ((((((~mustard_mill) | salt_cole) | mustard_cole) | salt_dix) | mustard_dix) <=> ((mustard_cole | (~mustard_mill) | salt_cole | salt_dix) | mustard_dix)),
% 0.20/0.40 inference(monotonicity,[status(thm)],[287])).
% 0.20/0.40 tff(289,plain,
% 0.20/0.40 ((((((~mustard_mill) | salt_cole) | mustard_cole) | salt_dix) | mustard_dix) <=> (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix)),
% 0.20/0.40 inference(transitivity,[status(thm)],[288, 280])).
% 0.20/0.40 tff(290,axiom,(((((~mustard_mill) | salt_cole) | mustard_cole) | salt_dix) | mustard_dix), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c50')).
% 0.20/0.40 tff(291,plain,
% 0.20/0.40 (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[290, 289])).
% 0.20/0.40 tff(292,plain,
% 0.20/0.40 (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[291, 279])).
% 0.20/0.40 tff(293,plain,
% 0.20/0.40 (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[292, 279])).
% 0.20/0.40 tff(294,plain,
% 0.20/0.40 (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[293, 279])).
% 0.20/0.40 tff(295,plain,
% 0.20/0.40 (~mustard_mill),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[294, 269, 239, 258, 278])).
% 0.20/0.40 tff(296,plain,
% 0.20/0.40 (((~salt_mill) | salt_lang | salt_barry) <=> ((~salt_mill) | salt_lang | salt_barry)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(297,plain,
% 0.20/0.40 ((((~salt_mill) | salt_barry) | salt_lang) <=> ((~salt_mill) | salt_lang | salt_barry)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(298,plain,
% 0.20/0.40 ((((~salt_mill) | salt_barry) | salt_lang) <=> (((~salt_mill) | salt_barry) | salt_lang)),
% 0.20/0.40 inference(monotonicity,[status(thm)],[194])).
% 0.20/0.40 tff(299,plain,
% 0.20/0.40 ((((~salt_mill) | salt_barry) | salt_lang) <=> ((~salt_mill) | salt_lang | salt_barry)),
% 0.20/0.40 inference(transitivity,[status(thm)],[298, 297])).
% 0.20/0.40 tff(300,axiom,(((~salt_mill) | salt_barry) | salt_lang), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c4')).
% 0.20/0.40 tff(301,plain,
% 0.20/0.40 ((~salt_mill) | salt_lang | salt_barry),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[300, 299])).
% 0.20/0.40 tff(302,plain,
% 0.20/0.40 ((~salt_mill) | salt_lang | salt_barry),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[301, 296])).
% 0.20/0.40 tff(303,plain,
% 0.20/0.40 ((~salt_mill) | salt_lang | salt_barry),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[302, 296])).
% 0.20/0.40 tff(304,plain,
% 0.20/0.40 ((~salt_mill) | salt_lang | salt_barry),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[303, 296])).
% 0.20/0.40 tff(305,plain,
% 0.20/0.40 (salt_lang | salt_barry),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[304, 191])).
% 0.20/0.40 tff(306,plain,
% 0.20/0.40 (salt_barry),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[305, 249])).
% 0.20/0.40 tff(307,plain,
% 0.20/0.40 (((~salt_mill) | mustard_barry | salt_lang) <=> ((~salt_mill) | mustard_barry | salt_lang)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(308,plain,
% 0.20/0.40 ((((~salt_mill) | mustard_barry) | salt_lang) <=> ((~salt_mill) | mustard_barry | salt_lang)),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(309,plain,
% 0.20/0.40 ((((~salt_mill) | mustard_barry) | salt_lang) <=> (((~salt_mill) | mustard_barry) | salt_lang)),
% 0.20/0.40 inference(monotonicity,[status(thm)],[206])).
% 0.20/0.40 tff(310,plain,
% 0.20/0.40 ((((~salt_mill) | mustard_barry) | salt_lang) <=> ((~salt_mill) | mustard_barry | salt_lang)),
% 0.20/0.40 inference(transitivity,[status(thm)],[309, 308])).
% 0.20/0.40 tff(311,axiom,(((~salt_mill) | mustard_barry) | salt_lang), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c2')).
% 0.20/0.40 tff(312,plain,
% 0.20/0.40 ((~salt_mill) | mustard_barry | salt_lang),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[311, 310])).
% 0.20/0.40 tff(313,plain,
% 0.20/0.40 ((~salt_mill) | mustard_barry | salt_lang),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[312, 307])).
% 0.20/0.40 tff(314,plain,
% 0.20/0.40 ((~salt_mill) | mustard_barry | salt_lang),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[313, 307])).
% 0.20/0.40 tff(315,plain,
% 0.20/0.40 ((~salt_mill) | mustard_barry | salt_lang),
% 0.20/0.40 inference(modus_ponens,[status(thm)],[314, 307])).
% 0.20/0.40 tff(316,plain,
% 0.20/0.40 (mustard_barry | salt_lang),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[315, 191])).
% 0.20/0.40 tff(317,plain,
% 0.20/0.40 (mustard_barry),
% 0.20/0.40 inference(unit_resolution,[status(thm)],[316, 249])).
% 0.20/0.40 tff(318,plain,
% 0.20/0.40 (((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry)) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(319,plain,
% 0.20/0.40 ((((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry)) | mustard_mill) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(320,plain,
% 0.20/0.40 ((((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | salt_cole | salt_dix | (~mustard_barry) | (~salt_barry)) | mustard_dix) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(321,plain,
% 0.20/0.40 ((((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | salt_cole | (~mustard_barry) | (~salt_barry)) | salt_dix) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | salt_cole | salt_dix | (~mustard_barry) | (~salt_barry))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(322,plain,
% 0.20/0.40 ((((~salt_mill) | salt_lang | (~mustard_lang) | salt_cole | (~mustard_barry) | (~salt_barry)) | mustard_cole) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | salt_cole | (~mustard_barry) | (~salt_barry))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(323,plain,
% 0.20/0.40 ((((~salt_mill) | salt_lang | (~mustard_lang) | (~mustard_barry) | (~salt_barry)) | salt_cole) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | salt_cole | (~mustard_barry) | (~salt_barry))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(324,plain,
% 0.20/0.40 ((((~salt_mill) | salt_lang | (~mustard_barry) | (~salt_barry)) | (~mustard_lang)) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | (~mustard_barry) | (~salt_barry))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(325,plain,
% 0.20/0.40 (((salt_lang | (~mustard_barry) | (~salt_barry)) | (~salt_mill)) <=> ((~salt_mill) | salt_lang | (~mustard_barry) | (~salt_barry))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(326,plain,
% 0.20/0.40 (((salt_lang | (~mustard_barry)) | (~salt_barry)) <=> (salt_lang | (~mustard_barry) | (~salt_barry))),
% 0.20/0.40 inference(rewrite,[status(thm)],[])).
% 0.20/0.40 tff(327,plain,
% 0.20/0.40 ((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) <=> ((salt_lang | (~mustard_barry) | (~salt_barry)) | (~salt_mill))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[326])).
% 0.20/0.40 tff(328,plain,
% 0.20/0.40 ((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) <=> ((~salt_mill) | salt_lang | (~mustard_barry) | (~salt_barry))),
% 0.20/0.40 inference(transitivity,[status(thm)],[327, 325])).
% 0.20/0.40 tff(329,plain,
% 0.20/0.40 (((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) <=> (((~salt_mill) | salt_lang | (~mustard_barry) | (~salt_barry)) | (~mustard_lang))),
% 0.20/0.40 inference(monotonicity,[status(thm)],[328])).
% 0.20/0.40 tff(330,plain,
% 0.20/0.40 (((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | (~mustard_barry) | (~salt_barry))),
% 0.20/0.40 inference(transitivity,[status(thm)],[329, 324])).
% 0.20/0.40 tff(331,plain,
% 0.20/0.40 ((((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) | salt_cole) <=> (((~salt_mill) | salt_lang | (~mustard_lang) | (~mustard_barry) | (~salt_barry)) | salt_cole)),
% 0.20/0.40 inference(monotonicity,[status(thm)],[330])).
% 0.20/0.40 tff(332,plain,
% 0.20/0.40 ((((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) | salt_cole) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | salt_cole | (~mustard_barry) | (~salt_barry))),
% 0.20/0.40 inference(transitivity,[status(thm)],[331, 323])).
% 0.20/0.40 tff(333,plain,
% 0.20/0.40 (((((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) | salt_cole) | mustard_cole) <=> (((~salt_mill) | salt_lang | (~mustard_lang) | salt_cole | (~mustard_barry) | (~salt_barry)) | mustard_cole)),
% 0.20/0.40 inference(monotonicity,[status(thm)],[332])).
% 0.20/0.40 tff(334,plain,
% 0.20/0.40 (((((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) | salt_cole) | mustard_cole) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | salt_cole | (~mustard_barry) | (~salt_barry))),
% 0.20/0.40 inference(transitivity,[status(thm)],[333, 322])).
% 0.20/0.40 tff(335,plain,
% 0.20/0.40 ((((((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) | salt_cole) | mustard_cole) | salt_dix) <=> (((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | salt_cole | (~mustard_barry) | (~salt_barry)) | salt_dix)),
% 0.20/0.41 inference(monotonicity,[status(thm)],[334])).
% 0.20/0.41 tff(336,plain,
% 0.20/0.41 ((((((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) | salt_cole) | mustard_cole) | salt_dix) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | salt_cole | salt_dix | (~mustard_barry) | (~salt_barry))),
% 0.20/0.41 inference(transitivity,[status(thm)],[335, 321])).
% 0.20/0.41 tff(337,plain,
% 0.20/0.41 (((((((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) | salt_cole) | mustard_cole) | salt_dix) | mustard_dix) <=> (((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | salt_cole | salt_dix | (~mustard_barry) | (~salt_barry)) | mustard_dix)),
% 0.20/0.41 inference(monotonicity,[status(thm)],[336])).
% 0.20/0.41 tff(338,plain,
% 0.20/0.41 (((((((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) | salt_cole) | mustard_cole) | salt_dix) | mustard_dix) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry))),
% 0.20/0.41 inference(transitivity,[status(thm)],[337, 320])).
% 0.20/0.41 tff(339,plain,
% 0.20/0.41 ((((((((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) | salt_cole) | mustard_cole) | salt_dix) | mustard_dix) | mustard_mill) <=> (((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry)) | mustard_mill)),
% 0.20/0.41 inference(monotonicity,[status(thm)],[338])).
% 0.20/0.41 tff(340,plain,
% 0.20/0.41 ((((((((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) | salt_cole) | mustard_cole) | salt_dix) | mustard_dix) | mustard_mill) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry))),
% 0.20/0.41 inference(transitivity,[status(thm)],[339, 319])).
% 0.20/0.41 tff(341,axiom,(((((((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) | salt_cole) | mustard_cole) | salt_dix) | mustard_dix) | mustard_mill), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_who_takes_what')).
% 0.20/0.41 tff(342,plain,
% 0.20/0.41 ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[341, 340])).
% 0.20/0.41 tff(343,plain,
% 0.20/0.41 ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[342, 318])).
% 0.20/0.41 tff(344,plain,
% 0.20/0.41 ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[343, 318])).
% 0.20/0.41 tff(345,plain,
% 0.20/0.41 ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry)),
% 0.20/0.41 inference(modus_ponens,[status(thm)],[344, 318])).
% 0.20/0.41 tff(346,plain,
% 0.20/0.41 (salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry)),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[345, 191])).
% 0.20/0.41 tff(347,plain,
% 0.20/0.41 ($false),
% 0.20/0.41 inference(unit_resolution,[status(thm)],[346, 317, 306, 249, 227, 239, 295, 278, 258, 269])).
% 0.20/0.41 % SZS output end Proof
% 0.20/0.41 % E exiting
%------------------------------------------------------------------------------