TSTP Solution File: PUZ030-2 by Z3---4.8.9.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ030-2 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n022.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 : Sun Sep 18 14:10:58 EDT 2022
% Result : Unsatisfiable 0.18s 0.38s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PUZ030-2 : TPTP v8.1.0. Released v1.0.0.
% 0.06/0.12 % Command : z3_tptp -proof -model -t:%d -file:%s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Sep 2 18:23:40 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 Z3tptp [4.8.9.0] (c) 2006-20**. Microsoft Corp.
% 0.12/0.34 Usage: tptp [options] [-file:]file
% 0.12/0.34 -h, -? prints this message.
% 0.12/0.34 -smt2 print SMT-LIB2 benchmark.
% 0.12/0.34 -m, -model generate model.
% 0.12/0.34 -p, -proof generate proof.
% 0.12/0.34 -c, -core generate unsat core of named formulas.
% 0.12/0.34 -st, -statistics display statistics.
% 0.12/0.34 -t:timeout set timeout (in second).
% 0.12/0.34 -smt2status display status in smt2 format instead of SZS.
% 0.12/0.34 -check_status check the status produced by Z3 against annotation in benchmark.
% 0.12/0.34 -<param>:<value> configuration parameter and value.
% 0.12/0.34 -o:<output-file> file to place output in.
% 0.18/0.38 % SZS status Unsatisfiable
% 0.18/0.38 % SZS output start Proof
% 0.18/0.38 tff(salt_dix_type, type, (
% 0.18/0.38 salt_dix: $o)).
% 0.18/0.38 tff(salt_lang_type, type, (
% 0.18/0.38 salt_lang: $o)).
% 0.18/0.38 tff(mustard_cole_type, type, (
% 0.18/0.38 mustard_cole: $o)).
% 0.18/0.38 tff(mustard_lang_type, type, (
% 0.18/0.38 mustard_lang: $o)).
% 0.18/0.38 tff(salt_cole_type, type, (
% 0.18/0.38 salt_cole: $o)).
% 0.18/0.38 tff(salt_barry_type, type, (
% 0.18/0.38 salt_barry: $o)).
% 0.18/0.38 tff(salt_mill_type, type, (
% 0.18/0.38 salt_mill: $o)).
% 0.18/0.38 tff(mustard_mill_type, type, (
% 0.18/0.38 mustard_mill: $o)).
% 0.18/0.38 tff(mustard_barry_type, type, (
% 0.18/0.38 mustard_barry: $o)).
% 0.18/0.38 tff(mustard_dix_type, type, (
% 0.18/0.38 mustard_dix: $o)).
% 0.18/0.38 tff(1,assumption,(~mustard_lang), introduced(assumption)).
% 0.18/0.38 tff(2,assumption,(~salt_cole), introduced(assumption)).
% 0.18/0.38 tff(3,plain,
% 0.18/0.38 ((mustard_lang | mustard_cole | salt_cole) <=> (mustard_lang | mustard_cole | salt_cole)),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(4,plain,
% 0.18/0.38 (((mustard_cole | salt_cole) | mustard_lang) <=> (mustard_lang | mustard_cole | salt_cole)),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(5,plain,
% 0.18/0.38 ((salt_cole | mustard_cole) <=> (mustard_cole | salt_cole)),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(6,plain,
% 0.18/0.38 (((salt_cole | mustard_cole) | mustard_lang) <=> ((mustard_cole | salt_cole) | mustard_lang)),
% 0.18/0.38 inference(monotonicity,[status(thm)],[5])).
% 0.18/0.38 tff(7,plain,
% 0.18/0.38 (((salt_cole | mustard_cole) | mustard_lang) <=> (mustard_lang | mustard_cole | salt_cole)),
% 0.18/0.38 inference(transitivity,[status(thm)],[6, 4])).
% 0.18/0.38 tff(8,axiom,((salt_cole | mustard_cole) | mustard_lang), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c57')).
% 0.18/0.38 tff(9,plain,
% 0.18/0.38 (mustard_lang | mustard_cole | salt_cole),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[8, 7])).
% 0.18/0.38 tff(10,plain,
% 0.18/0.38 (mustard_lang | mustard_cole | salt_cole),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[9, 3])).
% 0.18/0.38 tff(11,plain,
% 0.18/0.38 (mustard_lang | mustard_cole | salt_cole),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[10, 3])).
% 0.18/0.38 tff(12,plain,
% 0.18/0.38 (mustard_lang | mustard_cole | salt_cole),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[11, 3])).
% 0.18/0.38 tff(13,plain,
% 0.18/0.38 (mustard_lang | mustard_cole | salt_cole),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[12, 3])).
% 0.18/0.38 tff(14,plain,
% 0.18/0.38 (mustard_lang | mustard_cole | salt_cole),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[13, 3])).
% 0.18/0.38 tff(15,plain,
% 0.18/0.38 (mustard_cole),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[14, 2, 1])).
% 0.18/0.38 tff(16,plain,
% 0.18/0.38 ((mustard_lang | (~mustard_cole) | salt_dix) <=> (mustard_lang | (~mustard_cole) | salt_dix)),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(17,plain,
% 0.18/0.38 ((((~mustard_cole) | salt_dix) | mustard_lang) <=> (mustard_lang | (~mustard_cole) | salt_dix)),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(18,plain,
% 0.18/0.38 (((~mustard_cole) | salt_dix) <=> ((~mustard_cole) | salt_dix)),
% 0.18/0.38 inference(rewrite,[status(thm)],[])).
% 0.18/0.38 tff(19,plain,
% 0.18/0.38 ((((~mustard_cole) | salt_dix) | mustard_lang) <=> (((~mustard_cole) | salt_dix) | mustard_lang)),
% 0.18/0.38 inference(monotonicity,[status(thm)],[18])).
% 0.18/0.38 tff(20,plain,
% 0.18/0.38 ((((~mustard_cole) | salt_dix) | mustard_lang) <=> (mustard_lang | (~mustard_cole) | salt_dix)),
% 0.18/0.38 inference(transitivity,[status(thm)],[19, 17])).
% 0.18/0.38 tff(21,axiom,(((~mustard_cole) | salt_dix) | mustard_lang), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c19')).
% 0.18/0.38 tff(22,plain,
% 0.18/0.38 (mustard_lang | (~mustard_cole) | salt_dix),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[21, 20])).
% 0.18/0.38 tff(23,plain,
% 0.18/0.38 (mustard_lang | (~mustard_cole) | salt_dix),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[22, 16])).
% 0.18/0.38 tff(24,plain,
% 0.18/0.38 (mustard_lang | (~mustard_cole) | salt_dix),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[23, 16])).
% 0.18/0.38 tff(25,plain,
% 0.18/0.38 (mustard_lang | (~mustard_cole) | salt_dix),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[24, 16])).
% 0.18/0.38 tff(26,plain,
% 0.18/0.38 (mustard_lang | (~mustard_cole) | salt_dix),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[25, 16])).
% 0.18/0.38 tff(27,plain,
% 0.18/0.38 (mustard_lang | (~mustard_cole) | salt_dix),
% 0.18/0.38 inference(modus_ponens,[status(thm)],[26, 16])).
% 0.18/0.38 tff(28,plain,
% 0.18/0.38 (salt_dix),
% 0.18/0.38 inference(unit_resolution,[status(thm)],[27, 15, 1])).
% 0.18/0.38 tff(29,plain,
% 0.18/0.38 ((salt_barry | (~mustard_cole) | salt_cole) <=> (salt_barry | (~mustard_cole) | salt_cole)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(30,plain,
% 0.18/0.39 (((salt_cole | (~mustard_cole)) | salt_barry) <=> (salt_barry | (~mustard_cole) | salt_cole)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(31,axiom,((salt_cole | (~mustard_cole)) | salt_barry), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c43')).
% 0.18/0.39 tff(32,plain,
% 0.18/0.39 (salt_barry | (~mustard_cole) | salt_cole),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[31, 30])).
% 0.18/0.39 tff(33,plain,
% 0.18/0.39 (salt_barry | (~mustard_cole) | salt_cole),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[32, 29])).
% 0.18/0.39 tff(34,plain,
% 0.18/0.39 (salt_barry | (~mustard_cole) | salt_cole),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[33, 29])).
% 0.18/0.39 tff(35,plain,
% 0.18/0.39 (salt_barry | (~mustard_cole) | salt_cole),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[34, 29])).
% 0.18/0.39 tff(36,plain,
% 0.18/0.39 (salt_barry | (~mustard_cole) | salt_cole),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[35, 29])).
% 0.18/0.39 tff(37,plain,
% 0.18/0.39 (salt_barry | (~mustard_cole) | salt_cole),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[36, 29])).
% 0.18/0.39 tff(38,plain,
% 0.18/0.39 (salt_barry),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[37, 15, 2])).
% 0.18/0.39 tff(39,plain,
% 0.18/0.39 ((salt_cole | (~salt_dix) | (~salt_barry)) <=> (salt_cole | (~salt_dix) | (~salt_barry))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(40,plain,
% 0.18/0.39 ((((~salt_dix) | (~salt_barry)) | salt_cole) <=> (salt_cole | (~salt_dix) | (~salt_barry))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(41,plain,
% 0.18/0.39 (((~salt_dix) | (~salt_barry)) <=> ((~salt_dix) | (~salt_barry))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(42,plain,
% 0.18/0.39 ((((~salt_dix) | (~salt_barry)) | salt_cole) <=> (((~salt_dix) | (~salt_barry)) | salt_cole)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[41])).
% 0.18/0.39 tff(43,plain,
% 0.18/0.39 ((((~salt_dix) | (~salt_barry)) | salt_cole) <=> (salt_cole | (~salt_dix) | (~salt_barry))),
% 0.18/0.39 inference(transitivity,[status(thm)],[42, 40])).
% 0.18/0.39 tff(44,axiom,(((~salt_dix) | (~salt_barry)) | salt_cole), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c16')).
% 0.18/0.39 tff(45,plain,
% 0.18/0.39 (salt_cole | (~salt_dix) | (~salt_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[44, 43])).
% 0.18/0.39 tff(46,plain,
% 0.18/0.39 (salt_cole | (~salt_dix) | (~salt_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[45, 39])).
% 0.18/0.39 tff(47,plain,
% 0.18/0.39 (salt_cole | (~salt_dix) | (~salt_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[46, 39])).
% 0.18/0.39 tff(48,plain,
% 0.18/0.39 (salt_cole | (~salt_dix) | (~salt_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[47, 39])).
% 0.18/0.39 tff(49,plain,
% 0.18/0.39 (salt_cole | (~salt_dix) | (~salt_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[48, 39])).
% 0.18/0.39 tff(50,plain,
% 0.18/0.39 (salt_cole | (~salt_dix) | (~salt_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[49, 39])).
% 0.18/0.39 tff(51,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[50, 38, 28, 2])).
% 0.18/0.39 tff(52,plain,(salt_cole | mustard_lang), inference(lemma,lemma(discharge,[]))).
% 0.18/0.39 tff(53,plain,
% 0.18/0.39 (salt_cole),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[52, 1])).
% 0.18/0.39 tff(54,assumption,(~salt_mill), introduced(assumption)).
% 0.18/0.39 tff(55,plain,
% 0.18/0.39 ((salt_mill | mustard_lang | mustard_mill) <=> (salt_mill | mustard_lang | mustard_mill)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(56,plain,
% 0.18/0.39 (((salt_mill | mustard_mill) | mustard_lang) <=> (salt_mill | mustard_lang | mustard_mill)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(57,plain,
% 0.18/0.39 ((salt_mill | mustard_mill) <=> (salt_mill | mustard_mill)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(58,plain,
% 0.18/0.39 (((salt_mill | mustard_mill) | mustard_lang) <=> ((salt_mill | mustard_mill) | mustard_lang)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[57])).
% 0.18/0.39 tff(59,plain,
% 0.18/0.39 (((salt_mill | mustard_mill) | mustard_lang) <=> (salt_mill | mustard_lang | mustard_mill)),
% 0.18/0.39 inference(transitivity,[status(thm)],[58, 56])).
% 0.18/0.39 tff(60,axiom,((salt_mill | mustard_mill) | mustard_lang), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c56')).
% 0.18/0.39 tff(61,plain,
% 0.18/0.39 (salt_mill | mustard_lang | mustard_mill),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.18/0.39 tff(62,plain,
% 0.18/0.39 (salt_mill | mustard_lang | mustard_mill),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[61, 55])).
% 0.18/0.39 tff(63,plain,
% 0.18/0.39 (salt_mill | mustard_lang | mustard_mill),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[62, 55])).
% 0.18/0.39 tff(64,plain,
% 0.18/0.39 (salt_mill | mustard_lang | mustard_mill),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[63, 55])).
% 0.18/0.39 tff(65,plain,
% 0.18/0.39 (salt_mill | mustard_lang | mustard_mill),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[64, 55])).
% 0.18/0.39 tff(66,plain,
% 0.18/0.39 (salt_mill | mustard_lang | mustard_mill),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[65, 55])).
% 0.18/0.39 tff(67,plain,
% 0.18/0.39 (mustard_mill),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[66, 1, 54])).
% 0.18/0.39 tff(68,assumption,(mustard_mill), introduced(assumption)).
% 0.18/0.39 tff(69,assumption,(~salt_dix), introduced(assumption)).
% 0.18/0.39 tff(70,plain,
% 0.18/0.39 (~mustard_cole),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[27, 69, 1])).
% 0.18/0.39 tff(71,plain,
% 0.18/0.39 ((salt_barry | mustard_cole | (~salt_cole)) <=> (salt_barry | mustard_cole | (~salt_cole))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(72,plain,
% 0.18/0.39 (((mustard_cole | (~salt_cole)) | salt_barry) <=> (salt_barry | mustard_cole | (~salt_cole))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(73,plain,
% 0.18/0.39 (((~salt_cole) | mustard_cole) <=> (mustard_cole | (~salt_cole))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(74,plain,
% 0.18/0.39 ((((~salt_cole) | mustard_cole) | salt_barry) <=> ((mustard_cole | (~salt_cole)) | salt_barry)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[73])).
% 0.18/0.39 tff(75,plain,
% 0.18/0.39 ((((~salt_cole) | mustard_cole) | salt_barry) <=> (salt_barry | mustard_cole | (~salt_cole))),
% 0.18/0.39 inference(transitivity,[status(thm)],[74, 72])).
% 0.18/0.39 tff(76,axiom,(((~salt_cole) | mustard_cole) | salt_barry), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c44')).
% 0.18/0.39 tff(77,plain,
% 0.18/0.39 (salt_barry | mustard_cole | (~salt_cole)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[76, 75])).
% 0.18/0.39 tff(78,plain,
% 0.18/0.39 (salt_barry | mustard_cole | (~salt_cole)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[77, 71])).
% 0.18/0.39 tff(79,plain,
% 0.18/0.39 (salt_barry | mustard_cole | (~salt_cole)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[78, 71])).
% 0.18/0.39 tff(80,plain,
% 0.18/0.39 (salt_barry | mustard_cole | (~salt_cole)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[79, 71])).
% 0.18/0.39 tff(81,plain,
% 0.18/0.39 (salt_barry | mustard_cole | (~salt_cole)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[80, 71])).
% 0.18/0.39 tff(82,plain,
% 0.18/0.39 (salt_barry | mustard_cole | (~salt_cole)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[81, 71])).
% 0.18/0.39 tff(83,plain,
% 0.18/0.39 (salt_barry),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[82, 70, 53])).
% 0.18/0.39 tff(84,plain,
% 0.18/0.39 (((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)) <=> ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(85,plain,
% 0.18/0.39 ((((~salt_cole) | (~mustard_barry) | (~salt_barry)) | (~mustard_mill)) <=> ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(86,plain,
% 0.18/0.39 ((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) <=> ((~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(87,plain,
% 0.18/0.39 (((~salt_cole) | (~mustard_barry)) <=> ((~salt_cole) | (~mustard_barry))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(88,plain,
% 0.18/0.39 ((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) <=> (((~salt_cole) | (~mustard_barry)) | (~salt_barry))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[87])).
% 0.18/0.39 tff(89,plain,
% 0.18/0.39 ((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) <=> ((~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.18/0.39 inference(transitivity,[status(thm)],[88, 86])).
% 0.18/0.39 tff(90,plain,
% 0.18/0.39 (((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) | (~mustard_mill)) <=> (((~salt_cole) | (~mustard_barry) | (~salt_barry)) | (~mustard_mill))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[89])).
% 0.18/0.39 tff(91,plain,
% 0.18/0.39 (((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) | (~mustard_mill)) <=> ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.18/0.39 inference(transitivity,[status(thm)],[90, 85])).
% 0.18/0.39 tff(92,axiom,((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) | (~mustard_mill)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c45')).
% 0.18/0.39 tff(93,plain,
% 0.18/0.39 ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[92, 91])).
% 0.18/0.39 tff(94,plain,
% 0.18/0.39 ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[93, 84])).
% 0.18/0.39 tff(95,plain,
% 0.18/0.39 ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[94, 84])).
% 0.18/0.39 tff(96,plain,
% 0.18/0.39 ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[95, 84])).
% 0.18/0.39 tff(97,plain,
% 0.18/0.39 ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[96, 84])).
% 0.18/0.39 tff(98,plain,
% 0.18/0.39 ((~mustard_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[97, 84])).
% 0.18/0.39 tff(99,plain,
% 0.18/0.39 (~mustard_barry),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[98, 83, 68, 53])).
% 0.18/0.39 tff(100,plain,
% 0.18/0.39 (((mustard_barry | (~salt_barry)) | salt_lang) <=> (mustard_barry | salt_lang | (~salt_barry))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(101,plain,
% 0.18/0.39 (((~salt_barry) | mustard_barry) <=> (mustard_barry | (~salt_barry))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(102,plain,
% 0.18/0.39 ((((~salt_barry) | mustard_barry) | salt_lang) <=> ((mustard_barry | (~salt_barry)) | salt_lang)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[101])).
% 0.18/0.39 tff(103,plain,
% 0.18/0.39 ((((~salt_barry) | mustard_barry) | salt_lang) <=> (mustard_barry | salt_lang | (~salt_barry))),
% 0.18/0.39 inference(transitivity,[status(thm)],[102, 100])).
% 0.18/0.39 tff(104,axiom,(((~salt_barry) | mustard_barry) | salt_lang), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c34')).
% 0.18/0.39 tff(105,plain,
% 0.18/0.39 (mustard_barry | salt_lang | (~salt_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[104, 103])).
% 0.18/0.39 tff(106,plain,
% 0.18/0.39 (salt_lang),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[105, 99, 83])).
% 0.18/0.39 tff(107,plain,
% 0.18/0.39 (((mustard_dix | salt_dix) | mustard_barry) <=> (mustard_barry | mustard_dix | salt_dix)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(108,plain,
% 0.18/0.39 ((salt_dix | mustard_dix) <=> (mustard_dix | salt_dix)),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(109,plain,
% 0.18/0.39 (((salt_dix | mustard_dix) | mustard_barry) <=> ((mustard_dix | salt_dix) | mustard_barry)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[108])).
% 0.18/0.39 tff(110,plain,
% 0.18/0.39 (((salt_dix | mustard_dix) | mustard_barry) <=> (mustard_barry | mustard_dix | salt_dix)),
% 0.18/0.39 inference(transitivity,[status(thm)],[109, 107])).
% 0.18/0.39 tff(111,axiom,((salt_dix | mustard_dix) | mustard_barry), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c62')).
% 0.18/0.39 tff(112,plain,
% 0.18/0.39 (mustard_barry | mustard_dix | salt_dix),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[111, 110])).
% 0.18/0.39 tff(113,plain,
% 0.18/0.39 (mustard_dix),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[112, 99, 69])).
% 0.18/0.39 tff(114,plain,
% 0.18/0.39 (((~mustard_mill) | (~mustard_dix) | (~salt_lang)) <=> ((~mustard_mill) | (~mustard_dix) | (~salt_lang))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(115,plain,
% 0.18/0.39 ((((~mustard_dix) | (~salt_lang)) | (~mustard_mill)) <=> ((~mustard_mill) | (~mustard_dix) | (~salt_lang))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(116,axiom,(((~mustard_dix) | (~salt_lang)) | (~mustard_mill)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c11')).
% 0.18/0.39 tff(117,plain,
% 0.18/0.39 ((~mustard_mill) | (~mustard_dix) | (~salt_lang)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[116, 115])).
% 0.18/0.39 tff(118,plain,
% 0.18/0.39 ((~mustard_mill) | (~mustard_dix) | (~salt_lang)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[117, 114])).
% 0.18/0.39 tff(119,plain,
% 0.18/0.39 ((~mustard_mill) | (~mustard_dix) | (~salt_lang)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[118, 114])).
% 0.18/0.39 tff(120,plain,
% 0.18/0.39 ((~mustard_mill) | (~mustard_dix) | (~salt_lang)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[119, 114])).
% 0.18/0.39 tff(121,plain,
% 0.18/0.39 ((~mustard_mill) | (~mustard_dix) | (~salt_lang)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[120, 114])).
% 0.18/0.39 tff(122,plain,
% 0.18/0.39 ((~mustard_mill) | (~mustard_dix) | (~salt_lang)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[121, 114])).
% 0.18/0.39 tff(123,plain,
% 0.18/0.39 ($false),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[122, 113, 106, 68])).
% 0.18/0.39 tff(124,plain,(salt_dix | (~mustard_mill) | mustard_lang), inference(lemma,lemma(discharge,[]))).
% 0.18/0.39 tff(125,plain,
% 0.18/0.39 (salt_dix),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[124, 67, 1])).
% 0.18/0.39 tff(126,plain,
% 0.18/0.39 ((salt_mill | (~salt_dix) | (~mustard_barry)) <=> (salt_mill | (~salt_dix) | (~mustard_barry))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(127,plain,
% 0.18/0.39 ((((~mustard_barry) | (~salt_dix)) | salt_mill) <=> (salt_mill | (~salt_dix) | (~mustard_barry))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(128,axiom,(((~mustard_barry) | (~salt_dix)) | salt_mill), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c24')).
% 0.18/0.39 tff(129,plain,
% 0.18/0.39 (salt_mill | (~salt_dix) | (~mustard_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[128, 127])).
% 0.18/0.39 tff(130,plain,
% 0.18/0.39 (salt_mill | (~salt_dix) | (~mustard_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[129, 126])).
% 0.18/0.39 tff(131,plain,
% 0.18/0.39 (salt_mill | (~salt_dix) | (~mustard_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[130, 126])).
% 0.18/0.39 tff(132,plain,
% 0.18/0.39 (salt_mill | (~salt_dix) | (~mustard_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[131, 126])).
% 0.18/0.39 tff(133,plain,
% 0.18/0.39 (salt_mill | (~salt_dix) | (~mustard_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[132, 126])).
% 0.18/0.39 tff(134,plain,
% 0.18/0.39 (salt_mill | (~salt_dix) | (~mustard_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[133, 126])).
% 0.18/0.39 tff(135,plain,
% 0.18/0.39 (~mustard_barry),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[134, 125, 54])).
% 0.18/0.39 tff(136,plain,
% 0.18/0.39 (((mustard_barry | salt_barry | (~salt_cole)) | (~mustard_mill)) <=> (mustard_barry | salt_barry | (~mustard_mill) | (~salt_cole))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(137,plain,
% 0.18/0.39 (((salt_barry | (~salt_cole)) | mustard_barry) <=> (mustard_barry | salt_barry | (~salt_cole))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(138,plain,
% 0.18/0.39 (((~salt_cole) | salt_barry) <=> (salt_barry | (~salt_cole))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(139,plain,
% 0.18/0.39 ((((~salt_cole) | salt_barry) | mustard_barry) <=> ((salt_barry | (~salt_cole)) | mustard_barry)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[138])).
% 0.18/0.39 tff(140,plain,
% 0.18/0.39 ((((~salt_cole) | salt_barry) | mustard_barry) <=> (mustard_barry | salt_barry | (~salt_cole))),
% 0.18/0.39 inference(transitivity,[status(thm)],[139, 137])).
% 0.18/0.39 tff(141,plain,
% 0.18/0.39 (((((~salt_cole) | salt_barry) | mustard_barry) | (~mustard_mill)) <=> ((mustard_barry | salt_barry | (~salt_cole)) | (~mustard_mill))),
% 0.18/0.39 inference(monotonicity,[status(thm)],[140])).
% 0.18/0.39 tff(142,plain,
% 0.18/0.39 (((((~salt_cole) | salt_barry) | mustard_barry) | (~mustard_mill)) <=> (mustard_barry | salt_barry | (~mustard_mill) | (~salt_cole))),
% 0.18/0.39 inference(transitivity,[status(thm)],[141, 136])).
% 0.18/0.39 tff(143,axiom,((((~salt_cole) | salt_barry) | mustard_barry) | (~mustard_mill)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c47')).
% 0.18/0.39 tff(144,plain,
% 0.18/0.39 (mustard_barry | salt_barry | (~mustard_mill) | (~salt_cole)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[143, 142])).
% 0.18/0.39 tff(145,plain,
% 0.18/0.39 (salt_barry),
% 0.18/0.39 inference(unit_resolution,[status(thm)],[144, 135, 67, 53])).
% 0.18/0.39 tff(146,plain,
% 0.18/0.39 ((mustard_cole | (~salt_dix) | (~salt_barry)) <=> (mustard_cole | (~salt_dix) | (~salt_barry))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(147,plain,
% 0.18/0.39 ((((~salt_dix) | (~salt_barry)) | mustard_cole) <=> (mustard_cole | (~salt_dix) | (~salt_barry))),
% 0.18/0.39 inference(rewrite,[status(thm)],[])).
% 0.18/0.39 tff(148,plain,
% 0.18/0.39 ((((~salt_dix) | (~salt_barry)) | mustard_cole) <=> (((~salt_dix) | (~salt_barry)) | mustard_cole)),
% 0.18/0.39 inference(monotonicity,[status(thm)],[41])).
% 0.18/0.39 tff(149,plain,
% 0.18/0.39 ((((~salt_dix) | (~salt_barry)) | mustard_cole) <=> (mustard_cole | (~salt_dix) | (~salt_barry))),
% 0.18/0.39 inference(transitivity,[status(thm)],[148, 147])).
% 0.18/0.39 tff(150,axiom,(((~salt_dix) | (~salt_barry)) | mustard_cole), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c15')).
% 0.18/0.39 tff(151,plain,
% 0.18/0.39 (mustard_cole | (~salt_dix) | (~salt_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[150, 149])).
% 0.18/0.39 tff(152,plain,
% 0.18/0.39 (mustard_cole | (~salt_dix) | (~salt_barry)),
% 0.18/0.39 inference(modus_ponens,[status(thm)],[151, 146])).
% 0.18/0.40 tff(153,plain,
% 0.18/0.40 (mustard_cole | (~salt_dix) | (~salt_barry)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[152, 146])).
% 0.18/0.40 tff(154,plain,
% 0.18/0.40 (mustard_cole | (~salt_dix) | (~salt_barry)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[153, 146])).
% 0.18/0.40 tff(155,plain,
% 0.18/0.40 (mustard_cole | (~salt_dix) | (~salt_barry)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[154, 146])).
% 0.18/0.40 tff(156,plain,
% 0.18/0.40 (mustard_cole | (~salt_dix) | (~salt_barry)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[155, 146])).
% 0.18/0.40 tff(157,plain,
% 0.18/0.40 (mustard_cole),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[156, 145, 125])).
% 0.18/0.40 tff(158,plain,
% 0.18/0.40 ((mustard_lang | (~mustard_cole) | mustard_dix) <=> (mustard_lang | (~mustard_cole) | mustard_dix)),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(159,plain,
% 0.18/0.40 ((((~mustard_cole) | mustard_dix) | mustard_lang) <=> (mustard_lang | (~mustard_cole) | mustard_dix)),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(160,plain,
% 0.18/0.40 (((~mustard_cole) | mustard_dix) <=> ((~mustard_cole) | mustard_dix)),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(161,plain,
% 0.18/0.40 ((((~mustard_cole) | mustard_dix) | mustard_lang) <=> (((~mustard_cole) | mustard_dix) | mustard_lang)),
% 0.18/0.40 inference(monotonicity,[status(thm)],[160])).
% 0.18/0.40 tff(162,plain,
% 0.18/0.40 ((((~mustard_cole) | mustard_dix) | mustard_lang) <=> (mustard_lang | (~mustard_cole) | mustard_dix)),
% 0.18/0.40 inference(transitivity,[status(thm)],[161, 159])).
% 0.18/0.40 tff(163,axiom,(((~mustard_cole) | mustard_dix) | mustard_lang), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c17')).
% 0.18/0.40 tff(164,plain,
% 0.18/0.40 (mustard_lang | (~mustard_cole) | mustard_dix),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[163, 162])).
% 0.18/0.40 tff(165,plain,
% 0.18/0.40 (mustard_lang | (~mustard_cole) | mustard_dix),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[164, 158])).
% 0.18/0.40 tff(166,plain,
% 0.18/0.40 (mustard_lang | (~mustard_cole) | mustard_dix),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[165, 158])).
% 0.18/0.40 tff(167,plain,
% 0.18/0.40 (mustard_lang | (~mustard_cole) | mustard_dix),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[166, 158])).
% 0.18/0.40 tff(168,plain,
% 0.18/0.40 (mustard_lang | (~mustard_cole) | mustard_dix),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[167, 158])).
% 0.18/0.40 tff(169,plain,
% 0.18/0.40 (mustard_lang | (~mustard_cole) | mustard_dix),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[168, 158])).
% 0.18/0.40 tff(170,plain,
% 0.18/0.40 (mustard_dix),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[169, 157, 1])).
% 0.18/0.40 tff(171,plain,
% 0.18/0.40 (((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix)) <=> ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(172,plain,
% 0.18/0.40 ((((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix)) | (~salt_dix)) <=> ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(173,plain,
% 0.18/0.40 ((((~mustard_cole) | (~mustard_mill) | (~salt_cole)) | (~mustard_dix)) <=> ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(174,plain,
% 0.18/0.40 ((((~mustard_cole) | (~mustard_mill)) | (~salt_cole)) <=> ((~mustard_cole) | (~mustard_mill) | (~salt_cole))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(175,plain,
% 0.18/0.40 (((~mustard_mill) | (~mustard_cole)) <=> ((~mustard_cole) | (~mustard_mill))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(176,plain,
% 0.18/0.40 ((((~mustard_mill) | (~mustard_cole)) | (~salt_cole)) <=> (((~mustard_cole) | (~mustard_mill)) | (~salt_cole))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[175])).
% 0.18/0.40 tff(177,plain,
% 0.18/0.40 ((((~mustard_mill) | (~mustard_cole)) | (~salt_cole)) <=> ((~mustard_cole) | (~mustard_mill) | (~salt_cole))),
% 0.18/0.40 inference(transitivity,[status(thm)],[176, 174])).
% 0.18/0.40 tff(178,plain,
% 0.18/0.40 (((((~mustard_mill) | (~mustard_cole)) | (~salt_cole)) | (~mustard_dix)) <=> (((~mustard_cole) | (~mustard_mill) | (~salt_cole)) | (~mustard_dix))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[177])).
% 0.18/0.40 tff(179,plain,
% 0.18/0.40 (((((~mustard_mill) | (~mustard_cole)) | (~salt_cole)) | (~mustard_dix)) <=> ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix))),
% 0.18/0.40 inference(transitivity,[status(thm)],[178, 173])).
% 0.18/0.40 tff(180,plain,
% 0.18/0.40 ((((((~mustard_mill) | (~mustard_cole)) | (~salt_cole)) | (~mustard_dix)) | (~salt_dix)) <=> (((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix)) | (~salt_dix))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[179])).
% 0.18/0.40 tff(181,plain,
% 0.18/0.40 ((((((~mustard_mill) | (~mustard_cole)) | (~salt_cole)) | (~mustard_dix)) | (~salt_dix)) <=> ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix))),
% 0.18/0.40 inference(transitivity,[status(thm)],[180, 172])).
% 0.18/0.40 tff(182,axiom,(((((~mustard_mill) | (~mustard_cole)) | (~salt_cole)) | (~mustard_dix)) | (~salt_dix)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c49')).
% 0.18/0.40 tff(183,plain,
% 0.18/0.40 ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[182, 181])).
% 0.18/0.40 tff(184,plain,
% 0.18/0.40 ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[183, 171])).
% 0.18/0.40 tff(185,plain,
% 0.18/0.40 ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[184, 171])).
% 0.18/0.40 tff(186,plain,
% 0.18/0.40 ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[185, 171])).
% 0.18/0.40 tff(187,plain,
% 0.18/0.40 ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[186, 171])).
% 0.18/0.40 tff(188,plain,
% 0.18/0.40 ((~mustard_cole) | (~mustard_mill) | (~salt_cole) | (~mustard_dix) | (~salt_dix)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[187, 171])).
% 0.18/0.40 tff(189,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[188, 170, 157, 67, 53, 125])).
% 0.18/0.40 tff(190,plain,(mustard_lang | salt_mill), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(191,plain,
% 0.18/0.40 (mustard_lang),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[190, 54])).
% 0.18/0.40 tff(192,plain,
% 0.18/0.40 ((((~mustard_lang) | (~salt_lang)) | salt_mill) <=> (salt_mill | (~mustard_lang) | (~salt_lang))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(193,plain,
% 0.18/0.40 (((~salt_lang) | (~mustard_lang)) <=> ((~mustard_lang) | (~salt_lang))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(194,plain,
% 0.18/0.40 ((((~salt_lang) | (~mustard_lang)) | salt_mill) <=> (((~mustard_lang) | (~salt_lang)) | salt_mill)),
% 0.18/0.40 inference(monotonicity,[status(thm)],[193])).
% 0.18/0.40 tff(195,plain,
% 0.18/0.40 ((((~salt_lang) | (~mustard_lang)) | salt_mill) <=> (salt_mill | (~mustard_lang) | (~salt_lang))),
% 0.18/0.40 inference(transitivity,[status(thm)],[194, 192])).
% 0.18/0.40 tff(196,axiom,(((~salt_lang) | (~mustard_lang)) | salt_mill), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c29')).
% 0.18/0.40 tff(197,plain,
% 0.18/0.40 (salt_mill | (~mustard_lang) | (~salt_lang)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[196, 195])).
% 0.18/0.40 tff(198,plain,
% 0.18/0.40 (~salt_lang),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[197, 191, 54])).
% 0.18/0.40 tff(199,plain,
% 0.18/0.40 ((salt_lang | salt_barry | (~mustard_lang)) <=> (salt_lang | salt_barry | (~mustard_lang))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(200,plain,
% 0.18/0.40 (((salt_lang | (~mustard_lang)) | salt_barry) <=> (salt_lang | salt_barry | (~mustard_lang))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(201,axiom,((salt_lang | (~mustard_lang)) | salt_barry), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c41')).
% 0.18/0.40 tff(202,plain,
% 0.18/0.40 (salt_lang | salt_barry | (~mustard_lang)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[201, 200])).
% 0.18/0.40 tff(203,plain,
% 0.18/0.40 (salt_lang | salt_barry | (~mustard_lang)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[202, 199])).
% 0.18/0.40 tff(204,plain,
% 0.18/0.40 (salt_lang | salt_barry | (~mustard_lang)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[203, 199])).
% 0.18/0.40 tff(205,plain,
% 0.18/0.40 (salt_lang | salt_barry | (~mustard_lang)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[204, 199])).
% 0.18/0.40 tff(206,plain,
% 0.18/0.40 (salt_lang | salt_barry | (~mustard_lang)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[205, 199])).
% 0.18/0.40 tff(207,plain,
% 0.18/0.40 (salt_lang | salt_barry | (~mustard_lang)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[206, 199])).
% 0.18/0.40 tff(208,plain,
% 0.18/0.40 (salt_barry),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[207, 198, 191])).
% 0.18/0.40 tff(209,plain,
% 0.18/0.40 ((((~mustard_barry) | (~salt_barry)) | salt_mill) <=> (salt_mill | (~mustard_barry) | (~salt_barry))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(210,plain,
% 0.18/0.40 (((~salt_barry) | (~mustard_barry)) <=> ((~mustard_barry) | (~salt_barry))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(211,plain,
% 0.18/0.40 ((((~salt_barry) | (~mustard_barry)) | salt_mill) <=> (((~mustard_barry) | (~salt_barry)) | salt_mill)),
% 0.18/0.40 inference(monotonicity,[status(thm)],[210])).
% 0.18/0.40 tff(212,plain,
% 0.18/0.40 ((((~salt_barry) | (~mustard_barry)) | salt_mill) <=> (salt_mill | (~mustard_barry) | (~salt_barry))),
% 0.18/0.40 inference(transitivity,[status(thm)],[211, 209])).
% 0.18/0.40 tff(213,axiom,(((~salt_barry) | (~mustard_barry)) | salt_mill), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c30')).
% 0.18/0.40 tff(214,plain,
% 0.18/0.40 (salt_mill | (~mustard_barry) | (~salt_barry)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[213, 212])).
% 0.18/0.40 tff(215,plain,
% 0.18/0.40 (~mustard_barry),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[214, 208, 54])).
% 0.18/0.40 tff(216,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[105, 215, 208, 198])).
% 0.18/0.40 tff(217,plain,(salt_mill), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(218,plain,
% 0.18/0.40 (((~salt_mill) | mustard_lang | salt_barry) <=> ((~salt_mill) | mustard_lang | salt_barry)),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(219,plain,
% 0.18/0.40 ((((~salt_mill) | salt_barry) | mustard_lang) <=> ((~salt_mill) | mustard_lang | salt_barry)),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(220,plain,
% 0.18/0.40 (((~salt_mill) | salt_barry) <=> ((~salt_mill) | salt_barry)),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(221,plain,
% 0.18/0.40 ((((~salt_mill) | salt_barry) | mustard_lang) <=> (((~salt_mill) | salt_barry) | mustard_lang)),
% 0.18/0.40 inference(monotonicity,[status(thm)],[220])).
% 0.18/0.40 tff(222,plain,
% 0.18/0.40 ((((~salt_mill) | salt_barry) | mustard_lang) <=> ((~salt_mill) | mustard_lang | salt_barry)),
% 0.18/0.40 inference(transitivity,[status(thm)],[221, 219])).
% 0.18/0.40 tff(223,axiom,(((~salt_mill) | salt_barry) | mustard_lang), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c3')).
% 0.18/0.40 tff(224,plain,
% 0.18/0.40 ((~salt_mill) | mustard_lang | salt_barry),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[223, 222])).
% 0.18/0.40 tff(225,plain,
% 0.18/0.40 ((~salt_mill) | mustard_lang | salt_barry),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[224, 218])).
% 0.18/0.40 tff(226,plain,
% 0.18/0.40 ((~salt_mill) | mustard_lang | salt_barry),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[225, 218])).
% 0.18/0.40 tff(227,plain,
% 0.18/0.40 ((~salt_mill) | mustard_lang | salt_barry),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[226, 218])).
% 0.18/0.40 tff(228,plain,
% 0.18/0.40 ((~salt_mill) | mustard_lang | salt_barry),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[227, 218])).
% 0.18/0.40 tff(229,plain,
% 0.18/0.40 ((~salt_mill) | mustard_lang | salt_barry),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[228, 218])).
% 0.18/0.40 tff(230,plain,
% 0.18/0.40 (mustard_lang | salt_barry),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[229, 217])).
% 0.18/0.40 tff(231,plain,
% 0.18/0.40 (salt_barry),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[230, 1])).
% 0.18/0.40 tff(232,plain,
% 0.18/0.40 (((~salt_mill) | mustard_barry | mustard_lang) <=> ((~salt_mill) | mustard_barry | mustard_lang)),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(233,plain,
% 0.18/0.40 ((((~salt_mill) | mustard_barry) | mustard_lang) <=> ((~salt_mill) | mustard_barry | mustard_lang)),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(234,plain,
% 0.18/0.40 (((~salt_mill) | mustard_barry) <=> ((~salt_mill) | mustard_barry)),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(235,plain,
% 0.18/0.40 ((((~salt_mill) | mustard_barry) | mustard_lang) <=> (((~salt_mill) | mustard_barry) | mustard_lang)),
% 0.18/0.40 inference(monotonicity,[status(thm)],[234])).
% 0.18/0.40 tff(236,plain,
% 0.18/0.40 ((((~salt_mill) | mustard_barry) | mustard_lang) <=> ((~salt_mill) | mustard_barry | mustard_lang)),
% 0.18/0.40 inference(transitivity,[status(thm)],[235, 233])).
% 0.18/0.40 tff(237,axiom,(((~salt_mill) | mustard_barry) | mustard_lang), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c1')).
% 0.18/0.40 tff(238,plain,
% 0.18/0.40 ((~salt_mill) | mustard_barry | mustard_lang),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[237, 236])).
% 0.18/0.40 tff(239,plain,
% 0.18/0.40 ((~salt_mill) | mustard_barry | mustard_lang),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[238, 232])).
% 0.18/0.40 tff(240,plain,
% 0.18/0.40 ((~salt_mill) | mustard_barry | mustard_lang),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[239, 232])).
% 0.18/0.40 tff(241,plain,
% 0.18/0.40 ((~salt_mill) | mustard_barry | mustard_lang),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[240, 232])).
% 0.18/0.40 tff(242,plain,
% 0.18/0.40 ((~salt_mill) | mustard_barry | mustard_lang),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[241, 232])).
% 0.18/0.40 tff(243,plain,
% 0.18/0.40 ((~salt_mill) | mustard_barry | mustard_lang),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[242, 232])).
% 0.18/0.40 tff(244,plain,
% 0.18/0.40 (mustard_barry | mustard_lang),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[243, 217])).
% 0.18/0.40 tff(245,plain,
% 0.18/0.40 (mustard_barry),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[244, 1])).
% 0.18/0.40 tff(246,plain,
% 0.18/0.40 (((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)) <=> ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(247,plain,
% 0.18/0.40 ((((~salt_cole) | (~mustard_barry) | (~salt_barry)) | (~salt_mill)) <=> ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(248,plain,
% 0.18/0.40 (((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) <=> (((~salt_cole) | (~mustard_barry) | (~salt_barry)) | (~salt_mill))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[89])).
% 0.18/0.40 tff(249,plain,
% 0.18/0.40 (((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) <=> ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry))),
% 0.18/0.40 inference(transitivity,[status(thm)],[248, 247])).
% 0.18/0.40 tff(250,axiom,((((~salt_cole) | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c46')).
% 0.18/0.40 tff(251,plain,
% 0.18/0.40 ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[250, 249])).
% 0.18/0.40 tff(252,plain,
% 0.18/0.40 ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[251, 246])).
% 0.18/0.40 tff(253,plain,
% 0.18/0.40 ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[252, 246])).
% 0.18/0.40 tff(254,plain,
% 0.18/0.40 ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[253, 246])).
% 0.18/0.40 tff(255,plain,
% 0.18/0.40 ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[254, 246])).
% 0.18/0.40 tff(256,plain,
% 0.18/0.40 ((~salt_mill) | (~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[255, 246])).
% 0.18/0.40 tff(257,plain,
% 0.18/0.40 ((~salt_cole) | (~mustard_barry) | (~salt_barry)),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[256, 217])).
% 0.18/0.40 tff(258,plain,
% 0.18/0.40 ($false),
% 0.18/0.40 inference(unit_resolution,[status(thm)],[257, 245, 231, 53])).
% 0.18/0.40 tff(259,plain,(mustard_lang), inference(lemma,lemma(discharge,[]))).
% 0.18/0.40 tff(260,plain,
% 0.18/0.40 (((~salt_mill) | (~mustard_lang) | (~mustard_cole)) <=> ((~salt_mill) | (~mustard_lang) | (~mustard_cole))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(261,plain,
% 0.18/0.40 ((((~mustard_lang) | (~mustard_cole)) | (~salt_mill)) <=> ((~salt_mill) | (~mustard_lang) | (~mustard_cole))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(262,plain,
% 0.18/0.40 (((~mustard_lang) | (~mustard_cole)) <=> ((~mustard_lang) | (~mustard_cole))),
% 0.18/0.40 inference(rewrite,[status(thm)],[])).
% 0.18/0.40 tff(263,plain,
% 0.18/0.40 ((((~mustard_lang) | (~mustard_cole)) | (~salt_mill)) <=> (((~mustard_lang) | (~mustard_cole)) | (~salt_mill))),
% 0.18/0.40 inference(monotonicity,[status(thm)],[262])).
% 0.18/0.40 tff(264,plain,
% 0.18/0.40 ((((~mustard_lang) | (~mustard_cole)) | (~salt_mill)) <=> ((~salt_mill) | (~mustard_lang) | (~mustard_cole))),
% 0.18/0.40 inference(transitivity,[status(thm)],[263, 261])).
% 0.18/0.40 tff(265,axiom,(((~mustard_lang) | (~mustard_cole)) | (~salt_mill)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c6')).
% 0.18/0.40 tff(266,plain,
% 0.18/0.40 ((~salt_mill) | (~mustard_lang) | (~mustard_cole)),
% 0.18/0.40 inference(modus_ponens,[status(thm)],[265, 264])).
% 0.18/0.40 tff(267,plain,
% 0.18/0.40 ((~salt_mill) | (~mustard_lang) | (~mustard_cole)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[266, 260])).
% 0.18/0.41 tff(268,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~mustard_cole)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[267, 260])).
% 0.18/0.41 tff(269,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~mustard_cole)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[268, 260])).
% 0.18/0.41 tff(270,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~mustard_cole)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[269, 260])).
% 0.18/0.41 tff(271,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~mustard_cole)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[270, 260])).
% 0.18/0.41 tff(272,plain,
% 0.18/0.41 ((~mustard_lang) | (~mustard_cole)),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[271, 217])).
% 0.18/0.41 tff(273,plain,
% 0.18/0.41 (~mustard_cole),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[272, 259])).
% 0.18/0.41 tff(274,plain,
% 0.18/0.41 (((~mustard_lang) | mustard_cole | (~salt_lang)) <=> ((~mustard_lang) | mustard_cole | (~salt_lang))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(275,plain,
% 0.18/0.41 ((((~mustard_lang) | (~salt_lang)) | mustard_cole) <=> ((~mustard_lang) | mustard_cole | (~salt_lang))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(276,plain,
% 0.18/0.41 ((((~salt_lang) | (~mustard_lang)) | mustard_cole) <=> (((~mustard_lang) | (~salt_lang)) | mustard_cole)),
% 0.18/0.41 inference(monotonicity,[status(thm)],[193])).
% 0.18/0.41 tff(277,plain,
% 0.18/0.41 ((((~salt_lang) | (~mustard_lang)) | mustard_cole) <=> ((~mustard_lang) | mustard_cole | (~salt_lang))),
% 0.18/0.41 inference(transitivity,[status(thm)],[276, 275])).
% 0.18/0.41 tff(278,axiom,(((~salt_lang) | (~mustard_lang)) | mustard_cole), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c36')).
% 0.18/0.41 tff(279,plain,
% 0.18/0.41 ((~mustard_lang) | mustard_cole | (~salt_lang)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[278, 277])).
% 0.18/0.41 tff(280,plain,
% 0.18/0.41 ((~mustard_lang) | mustard_cole | (~salt_lang)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[279, 274])).
% 0.18/0.41 tff(281,plain,
% 0.18/0.41 ((~mustard_lang) | mustard_cole | (~salt_lang)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[280, 274])).
% 0.18/0.41 tff(282,plain,
% 0.18/0.41 ((~mustard_lang) | mustard_cole | (~salt_lang)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[281, 274])).
% 0.18/0.41 tff(283,plain,
% 0.18/0.41 ((~mustard_lang) | mustard_cole | (~salt_lang)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[282, 274])).
% 0.18/0.41 tff(284,plain,
% 0.18/0.41 ((~mustard_lang) | mustard_cole | (~salt_lang)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[283, 274])).
% 0.18/0.41 tff(285,plain,
% 0.18/0.41 (~salt_lang),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[284, 259, 273])).
% 0.18/0.41 tff(286,plain,
% 0.18/0.41 (((~salt_mill) | (~mustard_lang) | (~mustard_dix)) <=> ((~salt_mill) | (~mustard_lang) | (~mustard_dix))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(287,plain,
% 0.18/0.41 ((((~mustard_dix) | (~mustard_lang)) | (~salt_mill)) <=> ((~salt_mill) | (~mustard_lang) | (~mustard_dix))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(288,axiom,(((~mustard_dix) | (~mustard_lang)) | (~salt_mill)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c10')).
% 0.18/0.41 tff(289,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~mustard_dix)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[288, 287])).
% 0.18/0.41 tff(290,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~mustard_dix)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[289, 286])).
% 0.18/0.41 tff(291,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~mustard_dix)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[290, 286])).
% 0.18/0.41 tff(292,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~mustard_dix)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[291, 286])).
% 0.18/0.41 tff(293,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~mustard_dix)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[292, 286])).
% 0.18/0.41 tff(294,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~mustard_dix)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[293, 286])).
% 0.18/0.41 tff(295,plain,
% 0.18/0.41 ((~mustard_lang) | (~mustard_dix)),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[294, 217])).
% 0.18/0.41 tff(296,plain,
% 0.18/0.41 (~mustard_dix),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[295, 259])).
% 0.18/0.41 tff(297,plain,
% 0.18/0.41 ((salt_lang | mustard_dix | (~salt_dix)) <=> (salt_lang | mustard_dix | (~salt_dix))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(298,plain,
% 0.18/0.41 (((mustard_dix | (~salt_dix)) | salt_lang) <=> (salt_lang | mustard_dix | (~salt_dix))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(299,plain,
% 0.18/0.41 (((~salt_dix) | mustard_dix) <=> (mustard_dix | (~salt_dix))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(300,plain,
% 0.18/0.41 ((((~salt_dix) | mustard_dix) | salt_lang) <=> ((mustard_dix | (~salt_dix)) | salt_lang)),
% 0.18/0.41 inference(monotonicity,[status(thm)],[299])).
% 0.18/0.41 tff(301,plain,
% 0.18/0.41 ((((~salt_dix) | mustard_dix) | salt_lang) <=> (salt_lang | mustard_dix | (~salt_dix))),
% 0.18/0.41 inference(transitivity,[status(thm)],[300, 298])).
% 0.18/0.41 tff(302,axiom,(((~salt_dix) | mustard_dix) | salt_lang), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c32')).
% 0.18/0.41 tff(303,plain,
% 0.18/0.41 (salt_lang | mustard_dix | (~salt_dix)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[302, 301])).
% 0.18/0.41 tff(304,plain,
% 0.18/0.41 (salt_lang | mustard_dix | (~salt_dix)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[303, 297])).
% 0.18/0.41 tff(305,plain,
% 0.18/0.41 (salt_lang | mustard_dix | (~salt_dix)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[304, 297])).
% 0.18/0.41 tff(306,plain,
% 0.18/0.41 (salt_lang | mustard_dix | (~salt_dix)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[305, 297])).
% 0.18/0.41 tff(307,plain,
% 0.18/0.41 (salt_lang | mustard_dix | (~salt_dix)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[306, 297])).
% 0.18/0.41 tff(308,plain,
% 0.18/0.41 (salt_lang | mustard_dix | (~salt_dix)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[307, 297])).
% 0.18/0.41 tff(309,plain,
% 0.18/0.41 (~salt_dix),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[308, 296, 285])).
% 0.18/0.41 tff(310,plain,
% 0.18/0.41 (((~salt_mill) | (~mustard_lang) | (~salt_cole)) <=> ((~salt_mill) | (~mustard_lang) | (~salt_cole))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(311,plain,
% 0.18/0.41 ((((~mustard_lang) | (~salt_cole)) | (~salt_mill)) <=> ((~salt_mill) | (~mustard_lang) | (~salt_cole))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(312,axiom,(((~mustard_lang) | (~salt_cole)) | (~salt_mill)), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c8')).
% 0.18/0.41 tff(313,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~salt_cole)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[312, 311])).
% 0.18/0.41 tff(314,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~salt_cole)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[313, 310])).
% 0.18/0.41 tff(315,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~salt_cole)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[314, 310])).
% 0.18/0.41 tff(316,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~salt_cole)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[315, 310])).
% 0.18/0.41 tff(317,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~salt_cole)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[316, 310])).
% 0.18/0.41 tff(318,plain,
% 0.18/0.41 ((~salt_mill) | (~mustard_lang) | (~salt_cole)),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[317, 310])).
% 0.18/0.41 tff(319,plain,
% 0.18/0.41 ((~mustard_lang) | (~salt_cole)),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[318, 217])).
% 0.18/0.41 tff(320,plain,
% 0.18/0.41 (~salt_cole),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[319, 259])).
% 0.18/0.41 tff(321,plain,
% 0.18/0.41 ((mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix) <=> (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix)),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(322,plain,
% 0.18/0.41 (((mustard_cole | (~mustard_mill) | salt_cole | salt_dix) | mustard_dix) <=> (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix)),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(323,plain,
% 0.18/0.41 (((mustard_cole | (~mustard_mill) | salt_cole) | salt_dix) <=> (mustard_cole | (~mustard_mill) | salt_cole | salt_dix)),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(324,plain,
% 0.18/0.41 ((((~mustard_mill) | salt_cole) | mustard_cole) <=> (mustard_cole | (~mustard_mill) | salt_cole)),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(325,plain,
% 0.18/0.41 (((~mustard_mill) | salt_cole) <=> ((~mustard_mill) | salt_cole)),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(326,plain,
% 0.18/0.41 ((((~mustard_mill) | salt_cole) | mustard_cole) <=> (((~mustard_mill) | salt_cole) | mustard_cole)),
% 0.18/0.41 inference(monotonicity,[status(thm)],[325])).
% 0.18/0.41 tff(327,plain,
% 0.18/0.41 ((((~mustard_mill) | salt_cole) | mustard_cole) <=> (mustard_cole | (~mustard_mill) | salt_cole)),
% 0.18/0.41 inference(transitivity,[status(thm)],[326, 324])).
% 0.18/0.41 tff(328,plain,
% 0.18/0.41 (((((~mustard_mill) | salt_cole) | mustard_cole) | salt_dix) <=> ((mustard_cole | (~mustard_mill) | salt_cole) | salt_dix)),
% 0.18/0.41 inference(monotonicity,[status(thm)],[327])).
% 0.18/0.41 tff(329,plain,
% 0.18/0.41 (((((~mustard_mill) | salt_cole) | mustard_cole) | salt_dix) <=> (mustard_cole | (~mustard_mill) | salt_cole | salt_dix)),
% 0.18/0.41 inference(transitivity,[status(thm)],[328, 323])).
% 0.18/0.41 tff(330,plain,
% 0.18/0.41 ((((((~mustard_mill) | salt_cole) | mustard_cole) | salt_dix) | mustard_dix) <=> ((mustard_cole | (~mustard_mill) | salt_cole | salt_dix) | mustard_dix)),
% 0.18/0.41 inference(monotonicity,[status(thm)],[329])).
% 0.18/0.41 tff(331,plain,
% 0.18/0.41 ((((((~mustard_mill) | salt_cole) | mustard_cole) | salt_dix) | mustard_dix) <=> (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix)),
% 0.18/0.41 inference(transitivity,[status(thm)],[330, 322])).
% 0.18/0.41 tff(332,axiom,(((((~mustard_mill) | salt_cole) | mustard_cole) | salt_dix) | mustard_dix), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c50')).
% 0.18/0.41 tff(333,plain,
% 0.18/0.41 (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[332, 331])).
% 0.18/0.41 tff(334,plain,
% 0.18/0.41 (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[333, 321])).
% 0.18/0.41 tff(335,plain,
% 0.18/0.41 (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[334, 321])).
% 0.18/0.41 tff(336,plain,
% 0.18/0.41 (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[335, 321])).
% 0.18/0.41 tff(337,plain,
% 0.18/0.41 (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[336, 321])).
% 0.18/0.41 tff(338,plain,
% 0.18/0.41 (mustard_cole | (~mustard_mill) | salt_cole | mustard_dix | salt_dix),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[337, 321])).
% 0.18/0.41 tff(339,plain,
% 0.18/0.41 (~mustard_mill),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[338, 309, 273, 296, 320])).
% 0.18/0.41 tff(340,plain,
% 0.18/0.41 (((~salt_mill) | salt_lang | salt_barry) <=> ((~salt_mill) | salt_lang | salt_barry)),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(341,plain,
% 0.18/0.41 ((((~salt_mill) | salt_barry) | salt_lang) <=> ((~salt_mill) | salt_lang | salt_barry)),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(342,plain,
% 0.18/0.41 ((((~salt_mill) | salt_barry) | salt_lang) <=> (((~salt_mill) | salt_barry) | salt_lang)),
% 0.18/0.41 inference(monotonicity,[status(thm)],[220])).
% 0.18/0.41 tff(343,plain,
% 0.18/0.41 ((((~salt_mill) | salt_barry) | salt_lang) <=> ((~salt_mill) | salt_lang | salt_barry)),
% 0.18/0.41 inference(transitivity,[status(thm)],[342, 341])).
% 0.18/0.41 tff(344,axiom,(((~salt_mill) | salt_barry) | salt_lang), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c4')).
% 0.18/0.41 tff(345,plain,
% 0.18/0.41 ((~salt_mill) | salt_lang | salt_barry),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[344, 343])).
% 0.18/0.41 tff(346,plain,
% 0.18/0.41 ((~salt_mill) | salt_lang | salt_barry),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[345, 340])).
% 0.18/0.41 tff(347,plain,
% 0.18/0.41 ((~salt_mill) | salt_lang | salt_barry),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[346, 340])).
% 0.18/0.41 tff(348,plain,
% 0.18/0.41 ((~salt_mill) | salt_lang | salt_barry),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[347, 340])).
% 0.18/0.41 tff(349,plain,
% 0.18/0.41 ((~salt_mill) | salt_lang | salt_barry),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[348, 340])).
% 0.18/0.41 tff(350,plain,
% 0.18/0.41 ((~salt_mill) | salt_lang | salt_barry),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[349, 340])).
% 0.18/0.41 tff(351,plain,
% 0.18/0.41 (salt_lang | salt_barry),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[350, 217])).
% 0.18/0.41 tff(352,plain,
% 0.18/0.41 (salt_barry),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[351, 285])).
% 0.18/0.41 tff(353,plain,
% 0.18/0.41 (((~salt_mill) | mustard_barry | salt_lang) <=> ((~salt_mill) | mustard_barry | salt_lang)),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(354,plain,
% 0.18/0.41 ((((~salt_mill) | mustard_barry) | salt_lang) <=> ((~salt_mill) | mustard_barry | salt_lang)),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(355,plain,
% 0.18/0.41 ((((~salt_mill) | mustard_barry) | salt_lang) <=> (((~salt_mill) | mustard_barry) | salt_lang)),
% 0.18/0.41 inference(monotonicity,[status(thm)],[234])).
% 0.18/0.41 tff(356,plain,
% 0.18/0.41 ((((~salt_mill) | mustard_barry) | salt_lang) <=> ((~salt_mill) | mustard_barry | salt_lang)),
% 0.18/0.41 inference(transitivity,[status(thm)],[355, 354])).
% 0.18/0.41 tff(357,axiom,(((~salt_mill) | mustard_barry) | salt_lang), file('/export/starexec/sandbox/benchmark/theBenchmark.p','c2')).
% 0.18/0.41 tff(358,plain,
% 0.18/0.41 ((~salt_mill) | mustard_barry | salt_lang),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[357, 356])).
% 0.18/0.41 tff(359,plain,
% 0.18/0.41 ((~salt_mill) | mustard_barry | salt_lang),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[358, 353])).
% 0.18/0.41 tff(360,plain,
% 0.18/0.41 ((~salt_mill) | mustard_barry | salt_lang),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[359, 353])).
% 0.18/0.41 tff(361,plain,
% 0.18/0.41 ((~salt_mill) | mustard_barry | salt_lang),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[360, 353])).
% 0.18/0.41 tff(362,plain,
% 0.18/0.41 ((~salt_mill) | mustard_barry | salt_lang),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[361, 353])).
% 0.18/0.41 tff(363,plain,
% 0.18/0.41 ((~salt_mill) | mustard_barry | salt_lang),
% 0.18/0.41 inference(modus_ponens,[status(thm)],[362, 353])).
% 0.18/0.41 tff(364,plain,
% 0.18/0.41 (mustard_barry | salt_lang),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[363, 217])).
% 0.18/0.41 tff(365,plain,
% 0.18/0.41 (mustard_barry),
% 0.18/0.41 inference(unit_resolution,[status(thm)],[364, 285])).
% 0.18/0.41 tff(366,plain,
% 0.18/0.41 (((~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))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(367,plain,
% 0.18/0.41 ((((~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))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(368,plain,
% 0.18/0.41 ((((~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))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(369,plain,
% 0.18/0.41 ((((~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))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(370,plain,
% 0.18/0.41 ((((~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))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(371,plain,
% 0.18/0.41 ((((~salt_mill) | salt_lang | (~mustard_lang) | (~mustard_barry) | (~salt_barry)) | salt_cole) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | salt_cole | (~mustard_barry) | (~salt_barry))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(372,plain,
% 0.18/0.41 ((((~salt_mill) | salt_lang | (~mustard_barry) | (~salt_barry)) | (~mustard_lang)) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | (~mustard_barry) | (~salt_barry))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(373,plain,
% 0.18/0.41 (((salt_lang | (~mustard_barry) | (~salt_barry)) | (~salt_mill)) <=> ((~salt_mill) | salt_lang | (~mustard_barry) | (~salt_barry))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(374,plain,
% 0.18/0.41 (((salt_lang | (~mustard_barry)) | (~salt_barry)) <=> (salt_lang | (~mustard_barry) | (~salt_barry))),
% 0.18/0.41 inference(rewrite,[status(thm)],[])).
% 0.18/0.41 tff(375,plain,
% 0.18/0.41 ((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) <=> ((salt_lang | (~mustard_barry) | (~salt_barry)) | (~salt_mill))),
% 0.18/0.41 inference(monotonicity,[status(thm)],[374])).
% 0.18/0.41 tff(376,plain,
% 0.18/0.41 ((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) <=> ((~salt_mill) | salt_lang | (~mustard_barry) | (~salt_barry))),
% 0.18/0.41 inference(transitivity,[status(thm)],[375, 373])).
% 0.18/0.41 tff(377,plain,
% 0.18/0.41 (((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) <=> (((~salt_mill) | salt_lang | (~mustard_barry) | (~salt_barry)) | (~mustard_lang))),
% 0.18/0.42 inference(monotonicity,[status(thm)],[376])).
% 0.18/0.42 tff(378,plain,
% 0.18/0.42 (((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | (~mustard_barry) | (~salt_barry))),
% 0.18/0.42 inference(transitivity,[status(thm)],[377, 372])).
% 0.18/0.42 tff(379,plain,
% 0.18/0.42 ((((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) | salt_cole) <=> (((~salt_mill) | salt_lang | (~mustard_lang) | (~mustard_barry) | (~salt_barry)) | salt_cole)),
% 0.18/0.42 inference(monotonicity,[status(thm)],[378])).
% 0.18/0.42 tff(380,plain,
% 0.18/0.42 ((((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) | salt_cole) <=> ((~salt_mill) | salt_lang | (~mustard_lang) | salt_cole | (~mustard_barry) | (~salt_barry))),
% 0.18/0.42 inference(transitivity,[status(thm)],[379, 371])).
% 0.18/0.42 tff(381,plain,
% 0.18/0.42 (((((((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)),
% 0.18/0.42 inference(monotonicity,[status(thm)],[380])).
% 0.18/0.42 tff(382,plain,
% 0.18/0.42 (((((((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))),
% 0.18/0.42 inference(transitivity,[status(thm)],[381, 370])).
% 0.18/0.42 tff(383,plain,
% 0.18/0.42 ((((((((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)),
% 0.18/0.42 inference(monotonicity,[status(thm)],[382])).
% 0.18/0.42 tff(384,plain,
% 0.18/0.42 ((((((((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))),
% 0.18/0.42 inference(transitivity,[status(thm)],[383, 369])).
% 0.18/0.42 tff(385,plain,
% 0.18/0.42 (((((((((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)),
% 0.18/0.42 inference(monotonicity,[status(thm)],[384])).
% 0.18/0.42 tff(386,plain,
% 0.18/0.42 (((((((((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))),
% 0.18/0.42 inference(transitivity,[status(thm)],[385, 368])).
% 0.18/0.42 tff(387,plain,
% 0.18/0.42 ((((((((((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)),
% 0.18/0.42 inference(monotonicity,[status(thm)],[386])).
% 0.18/0.42 tff(388,plain,
% 0.18/0.42 ((((((((((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))),
% 0.18/0.42 inference(transitivity,[status(thm)],[387, 367])).
% 0.18/0.42 tff(389,axiom,(((((((((salt_lang | (~mustard_barry)) | (~salt_barry)) | (~salt_mill)) | (~mustard_lang)) | salt_cole) | mustard_cole) | salt_dix) | mustard_dix) | mustard_mill), file('/export/starexec/sandbox/benchmark/theBenchmark.p','prove_who_takes_what')).
% 0.18/0.42 tff(390,plain,
% 0.18/0.42 ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry)),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[389, 388])).
% 0.18/0.42 tff(391,plain,
% 0.18/0.42 ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry)),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[390, 366])).
% 0.18/0.42 tff(392,plain,
% 0.18/0.42 ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry)),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[391, 366])).
% 0.18/0.42 tff(393,plain,
% 0.18/0.42 ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry)),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[392, 366])).
% 0.18/0.42 tff(394,plain,
% 0.18/0.42 ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry)),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[393, 366])).
% 0.18/0.42 tff(395,plain,
% 0.18/0.42 ((~salt_mill) | salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry)),
% 0.18/0.42 inference(modus_ponens,[status(thm)],[394, 366])).
% 0.18/0.42 tff(396,plain,
% 0.18/0.42 (salt_lang | (~mustard_lang) | mustard_cole | mustard_mill | salt_cole | mustard_dix | salt_dix | (~mustard_barry) | (~salt_barry)),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[395, 217])).
% 0.18/0.42 tff(397,plain,
% 0.18/0.42 ($false),
% 0.18/0.42 inference(unit_resolution,[status(thm)],[396, 365, 352, 285, 259, 273, 339, 320, 296, 309])).
% 0.18/0.42 % SZS output end Proof
%------------------------------------------------------------------------------