%------------------------------------------------------------------------------
% File : Z3---4.15.1
% Problem : PUZ014-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : run_E %s %d THM
% Computer : n001.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 05:23:09 AM UTC 2025
% Result : Unsatisfiable 0.12s 0.37s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : PUZ014-1 : TPTP v9.0.0. Released v1.0.0.
% 0.11/0.12 % Command : run_E %s %d THM
% 0.12/0.34 % Computer : n001.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 02:43:34 EDT 2025
% 0.12/0.34 % CPUTime :
% 0.12/0.37 % SZS status Unsatisfiable
% 0.12/0.37 % SZS output start Proof
% 0.12/0.37 tff(some_of_the_eleven_are_not_oiling_type, type, (
% 0.12/0.37 some_of_the_eleven_are_not_oiling: $o)).
% 0.12/0.37 tff(some_scotch_dance_type, type, (
% 0.12/0.37 some_scotch_dance: $o)).
% 0.12/0.37 tff(some_welsh_eat_type, type, (
% 0.12/0.37 some_welsh_eat: $o)).
% 0.12/0.37 tff(some_irish_fight_type, type, (
% 0.12/0.37 some_irish_fight: $o)).
% 0.12/0.37 tff(some_monitors_are_not_awake_type, type, (
% 0.12/0.37 some_monitors_are_not_awake: $o)).
% 0.12/0.37 tff(some_monitors_are_awake_type, type, (
% 0.12/0.37 some_monitors_are_awake: $o)).
% 0.12/0.37 tff(some_english_sing_type, type, (
% 0.12/0.37 some_english_sing: $o)).
% 0.12/0.37 tff(some_english_sing_not_type, type, (
% 0.12/0.37 some_english_sing_not: $o)).
% 0.12/0.37 tff(some_scotch_dance_not_type, type, (
% 0.12/0.37 some_scotch_dance_not: $o)).
% 0.12/0.37 tff(some_germans_play_type, type, (
% 0.12/0.37 some_germans_play: $o)).
% 0.12/0.37 tff(some_irish_fight_not_type, type, (
% 0.12/0.37 some_irish_fight_not: $o)).
% 0.12/0.37 tff(some_germans_play_not_type, type, (
% 0.12/0.37 some_germans_play_not: $o)).
% 0.12/0.37 tff(some_welsh_eat_not_type, type, (
% 0.12/0.37 some_welsh_eat_not: $o)).
% 0.12/0.37 tff(1,assumption,(some_scotch_dance), introduced(assumption)).
% 0.12/0.37 tff(2,axiom,(some_monitors_are_not_awake), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_all_monitors_are_awake')).
% 0.12/0.37 tff(3,axiom,(some_english_sing), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c18')).
% 0.12/0.37 tff(4,axiom,(some_scotch_dance_not), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c19')).
% 0.12/0.37 tff(5,plain,
% 0.12/0.37 (((~some_english_sing) | (~some_monitors_are_not_awake) | some_irish_fight_not) <=> ((~some_english_sing) | (~some_monitors_are_not_awake) | some_irish_fight_not)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(6,plain,
% 0.12/0.37 ((((~some_english_sing) | (~some_monitors_are_not_awake)) | some_irish_fight_not) <=> ((~some_english_sing) | (~some_monitors_are_not_awake) | some_irish_fight_not)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(7,axiom,(((~some_english_sing) | (~some_monitors_are_not_awake)) | some_irish_fight_not), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c10')).
% 0.12/0.37 tff(8,plain,
% 0.12/0.37 ((~some_english_sing) | (~some_monitors_are_not_awake) | some_irish_fight_not),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[7, 6])).
% 0.12/0.37 tff(9,plain,
% 0.12/0.37 ((~some_english_sing) | (~some_monitors_are_not_awake) | some_irish_fight_not),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[8, 5])).
% 0.12/0.37 tff(10,plain,
% 0.12/0.37 ((~some_english_sing) | (~some_monitors_are_not_awake) | some_irish_fight_not),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[9, 5])).
% 0.12/0.37 tff(11,plain,
% 0.12/0.37 ((~some_english_sing) | (~some_monitors_are_not_awake) | some_irish_fight_not),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[10, 5])).
% 0.12/0.37 tff(12,plain,
% 0.12/0.37 (some_irish_fight_not),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[11, 2, 3])).
% 0.12/0.37 tff(13,plain,
% 0.12/0.37 ((some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not)) <=> (some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(14,plain,
% 0.12/0.37 ((((~some_scotch_dance_not) | (~some_irish_fight_not)) | some_germans_play) <=> (some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(15,plain,
% 0.12/0.37 (((~some_scotch_dance_not) | (~some_irish_fight_not)) <=> ((~some_scotch_dance_not) | (~some_irish_fight_not))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(16,plain,
% 0.12/0.37 ((((~some_scotch_dance_not) | (~some_irish_fight_not)) | some_germans_play) <=> (((~some_scotch_dance_not) | (~some_irish_fight_not)) | some_germans_play)),
% 0.12/0.37 inference(monotonicity,[status(thm)],[15])).
% 0.12/0.37 tff(17,plain,
% 0.12/0.37 ((((~some_scotch_dance_not) | (~some_irish_fight_not)) | some_germans_play) <=> (some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not))),
% 0.12/0.37 inference(transitivity,[status(thm)],[16, 14])).
% 0.12/0.37 tff(18,axiom,(((~some_scotch_dance_not) | (~some_irish_fight_not)) | some_germans_play), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c6')).
% 0.12/0.37 tff(19,plain,
% 0.12/0.37 (some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[18, 17])).
% 0.12/0.37 tff(20,plain,
% 0.12/0.37 (some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[19, 13])).
% 0.12/0.37 tff(21,plain,
% 0.12/0.37 (some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[20, 13])).
% 0.12/0.37 tff(22,plain,
% 0.12/0.37 (some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[21, 13])).
% 0.12/0.37 tff(23,plain,
% 0.12/0.37 (some_germans_play),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[22, 12, 4])).
% 0.12/0.37 tff(24,plain,
% 0.12/0.37 (((~some_english_sing) | some_english_sing_not | (~some_germans_play) | (~some_scotch_dance_not)) <=> ((~some_english_sing) | some_english_sing_not | (~some_germans_play) | (~some_scotch_dance_not))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(25,plain,
% 0.12/0.37 ((((~some_english_sing) | some_english_sing_not | (~some_scotch_dance_not)) | (~some_germans_play)) <=> ((~some_english_sing) | some_english_sing_not | (~some_germans_play) | (~some_scotch_dance_not))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(26,plain,
% 0.12/0.37 ((((~some_english_sing) | some_english_sing_not) | (~some_scotch_dance_not)) <=> ((~some_english_sing) | some_english_sing_not | (~some_scotch_dance_not))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(27,plain,
% 0.12/0.37 (((~some_english_sing) | some_english_sing_not) <=> ((~some_english_sing) | some_english_sing_not)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(28,plain,
% 0.12/0.37 ((((~some_english_sing) | some_english_sing_not) | (~some_scotch_dance_not)) <=> (((~some_english_sing) | some_english_sing_not) | (~some_scotch_dance_not))),
% 0.12/0.37 inference(monotonicity,[status(thm)],[27])).
% 0.12/0.37 tff(29,plain,
% 0.12/0.37 ((((~some_english_sing) | some_english_sing_not) | (~some_scotch_dance_not)) <=> ((~some_english_sing) | some_english_sing_not | (~some_scotch_dance_not))),
% 0.12/0.37 inference(transitivity,[status(thm)],[28, 26])).
% 0.12/0.37 tff(30,plain,
% 0.12/0.37 (((((~some_english_sing) | some_english_sing_not) | (~some_scotch_dance_not)) | (~some_germans_play)) <=> (((~some_english_sing) | some_english_sing_not | (~some_scotch_dance_not)) | (~some_germans_play))),
% 0.12/0.37 inference(monotonicity,[status(thm)],[29])).
% 0.12/0.37 tff(31,plain,
% 0.12/0.37 (((((~some_english_sing) | some_english_sing_not) | (~some_scotch_dance_not)) | (~some_germans_play)) <=> ((~some_english_sing) | some_english_sing_not | (~some_germans_play) | (~some_scotch_dance_not))),
% 0.12/0.37 inference(transitivity,[status(thm)],[30, 25])).
% 0.12/0.37 tff(32,axiom,((((~some_english_sing) | some_english_sing_not) | (~some_scotch_dance_not)) | (~some_germans_play)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c9')).
% 0.12/0.37 tff(33,plain,
% 0.12/0.37 ((~some_english_sing) | some_english_sing_not | (~some_germans_play) | (~some_scotch_dance_not)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[32, 31])).
% 0.12/0.37 tff(34,plain,
% 0.12/0.37 ((~some_english_sing) | some_english_sing_not | (~some_germans_play) | (~some_scotch_dance_not)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[33, 24])).
% 0.12/0.37 tff(35,plain,
% 0.12/0.37 ((~some_english_sing) | some_english_sing_not | (~some_germans_play) | (~some_scotch_dance_not)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[34, 24])).
% 0.12/0.37 tff(36,plain,
% 0.12/0.37 ((~some_english_sing) | some_english_sing_not | (~some_germans_play) | (~some_scotch_dance_not)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[35, 24])).
% 0.12/0.37 tff(37,plain,
% 0.12/0.37 (some_english_sing_not),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[36, 23, 3, 4])).
% 0.12/0.37 tff(38,plain,
% 0.12/0.37 (((~some_english_sing) | (~some_english_sing_not) | some_monitors_are_awake) <=> ((~some_english_sing) | (~some_english_sing_not) | some_monitors_are_awake)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(39,plain,
% 0.12/0.37 ((((~some_english_sing) | (~some_english_sing_not)) | some_monitors_are_awake) <=> ((~some_english_sing) | (~some_english_sing_not) | some_monitors_are_awake)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(40,axiom,(((~some_english_sing) | (~some_english_sing_not)) | some_monitors_are_awake), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c1')).
% 0.12/0.37 tff(41,plain,
% 0.12/0.37 ((~some_english_sing) | (~some_english_sing_not) | some_monitors_are_awake),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.12/0.37 tff(42,plain,
% 0.12/0.37 ((~some_english_sing) | (~some_english_sing_not) | some_monitors_are_awake),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[41, 38])).
% 0.12/0.37 tff(43,plain,
% 0.12/0.37 ((~some_english_sing) | (~some_english_sing_not) | some_monitors_are_awake),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[42, 38])).
% 0.12/0.37 tff(44,plain,
% 0.12/0.37 ((~some_english_sing) | (~some_english_sing_not) | some_monitors_are_awake),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[43, 38])).
% 0.12/0.37 tff(45,plain,
% 0.12/0.37 (some_monitors_are_awake),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[44, 37, 3])).
% 0.12/0.37 tff(46,plain,
% 0.12/0.37 ((((~some_monitors_are_awake) | (~some_monitors_are_not_awake)) | some_irish_fight) <=> (some_irish_fight | (~some_monitors_are_awake) | (~some_monitors_are_not_awake))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(47,axiom,(((~some_monitors_are_awake) | (~some_monitors_are_not_awake)) | some_irish_fight), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c4')).
% 0.12/0.37 tff(48,plain,
% 0.12/0.37 (some_irish_fight | (~some_monitors_are_awake) | (~some_monitors_are_not_awake)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[47, 46])).
% 0.12/0.37 tff(49,plain,
% 0.12/0.37 (some_irish_fight),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[48, 45, 2])).
% 0.12/0.37 tff(50,plain,
% 0.12/0.37 (((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat) <=> ((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(51,plain,
% 0.12/0.37 ((((~some_scotch_dance) | (~some_irish_fight)) | some_welsh_eat) <=> ((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(52,plain,
% 0.12/0.37 (((~some_scotch_dance) | (~some_irish_fight)) <=> ((~some_scotch_dance) | (~some_irish_fight))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(53,plain,
% 0.12/0.37 ((((~some_scotch_dance) | (~some_irish_fight)) | some_welsh_eat) <=> (((~some_scotch_dance) | (~some_irish_fight)) | some_welsh_eat)),
% 0.12/0.37 inference(monotonicity,[status(thm)],[52])).
% 0.12/0.37 tff(54,plain,
% 0.12/0.37 ((((~some_scotch_dance) | (~some_irish_fight)) | some_welsh_eat) <=> ((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat)),
% 0.12/0.37 inference(transitivity,[status(thm)],[53, 51])).
% 0.12/0.37 tff(55,axiom,(((~some_scotch_dance) | (~some_irish_fight)) | some_welsh_eat), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c2')).
% 0.12/0.37 tff(56,plain,
% 0.12/0.37 ((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[55, 54])).
% 0.12/0.37 tff(57,plain,
% 0.12/0.37 ((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[56, 50])).
% 0.12/0.37 tff(58,plain,
% 0.12/0.37 ((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[57, 50])).
% 0.12/0.37 tff(59,plain,
% 0.12/0.37 ((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[58, 50])).
% 0.12/0.37 tff(60,plain,
% 0.12/0.37 ((~some_scotch_dance) | some_welsh_eat),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[59, 49])).
% 0.12/0.37 tff(61,plain,
% 0.12/0.37 (some_welsh_eat),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[60, 1])).
% 0.12/0.37 tff(62,plain,
% 0.12/0.37 (((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat)) <=> ((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(63,plain,
% 0.12/0.37 ((((~some_monitors_are_awake) | (~some_welsh_eat)) | (~some_scotch_dance)) <=> ((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(64,axiom,(((~some_monitors_are_awake) | (~some_welsh_eat)) | (~some_scotch_dance)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c7')).
% 0.12/0.37 tff(65,plain,
% 0.12/0.37 ((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[64, 63])).
% 0.12/0.37 tff(66,plain,
% 0.12/0.37 ((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[65, 62])).
% 0.12/0.37 tff(67,plain,
% 0.12/0.37 ((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[66, 62])).
% 0.12/0.37 tff(68,plain,
% 0.12/0.37 ((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[67, 62])).
% 0.12/0.37 tff(69,plain,
% 0.12/0.37 ((~some_scotch_dance) | (~some_welsh_eat)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[68, 45])).
% 0.12/0.37 tff(70,plain,
% 0.12/0.37 ($false),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[69, 61, 1])).
% 0.12/0.37 tff(71,plain,(~some_scotch_dance), inference(lemma,lemma(discharge,[]))).
% 0.12/0.37 tff(72,plain,
% 0.12/0.37 ((((~some_monitors_are_awake) | (~some_of_the_eleven_are_not_oiling)) | some_scotch_dance) <=> (some_scotch_dance | (~some_monitors_are_awake) | (~some_of_the_eleven_are_not_oiling))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(73,axiom,(((~some_monitors_are_awake) | (~some_of_the_eleven_are_not_oiling)) | some_scotch_dance), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c11')).
% 0.12/0.37 tff(74,plain,
% 0.12/0.37 (some_scotch_dance | (~some_monitors_are_awake) | (~some_of_the_eleven_are_not_oiling)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[73, 72])).
% 0.12/0.37 tff(75,plain,
% 0.12/0.37 (some_scotch_dance | (~some_of_the_eleven_are_not_oiling)),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[74, 45])).
% 0.12/0.37 tff(76,plain,
% 0.12/0.37 (~some_of_the_eleven_are_not_oiling),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[75, 71])).
% 0.12/0.37 tff(77,plain,
% 0.12/0.37 ((some_scotch_dance | (~some_germans_play) | some_welsh_eat_not) <=> (some_scotch_dance | (~some_germans_play) | some_welsh_eat_not)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(78,plain,
% 0.12/0.37 (((some_scotch_dance | (~some_germans_play)) | some_welsh_eat_not) <=> (some_scotch_dance | (~some_germans_play) | some_welsh_eat_not)),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(79,plain,
% 0.12/0.37 (((~some_germans_play) | some_scotch_dance) <=> (some_scotch_dance | (~some_germans_play))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(80,plain,
% 0.12/0.37 ((((~some_germans_play) | some_scotch_dance) | some_welsh_eat_not) <=> ((some_scotch_dance | (~some_germans_play)) | some_welsh_eat_not)),
% 0.12/0.37 inference(monotonicity,[status(thm)],[79])).
% 0.12/0.37 tff(81,plain,
% 0.12/0.37 ((((~some_germans_play) | some_scotch_dance) | some_welsh_eat_not) <=> (some_scotch_dance | (~some_germans_play) | some_welsh_eat_not)),
% 0.12/0.37 inference(transitivity,[status(thm)],[80, 78])).
% 0.12/0.37 tff(82,axiom,(((~some_germans_play) | some_scotch_dance) | some_welsh_eat_not), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c5')).
% 0.12/0.37 tff(83,plain,
% 0.12/0.37 (some_scotch_dance | (~some_germans_play) | some_welsh_eat_not),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[82, 81])).
% 0.12/0.37 tff(84,plain,
% 0.12/0.37 (some_scotch_dance | (~some_germans_play) | some_welsh_eat_not),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[83, 77])).
% 0.12/0.37 tff(85,plain,
% 0.12/0.37 (some_scotch_dance | (~some_germans_play) | some_welsh_eat_not),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[84, 77])).
% 0.12/0.37 tff(86,plain,
% 0.12/0.37 (some_scotch_dance | (~some_germans_play) | some_welsh_eat_not),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[85, 77])).
% 0.12/0.37 tff(87,plain,
% 0.12/0.37 (some_scotch_dance | some_welsh_eat_not),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[86, 23])).
% 0.12/0.37 tff(88,plain,
% 0.12/0.37 (some_welsh_eat_not),
% 0.12/0.37 inference(unit_resolution,[status(thm)],[87, 71])).
% 0.12/0.37 tff(89,plain,
% 0.12/0.37 (((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not)) <=> ((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(90,plain,
% 0.12/0.37 ((((~some_germans_play_not) | (~some_welsh_eat_not)) | (~some_irish_fight)) <=> ((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not))),
% 0.12/0.37 inference(rewrite,[status(thm)],[])).
% 0.12/0.37 tff(91,axiom,(((~some_germans_play_not) | (~some_welsh_eat_not)) | (~some_irish_fight)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c8')).
% 0.12/0.37 tff(92,plain,
% 0.12/0.37 ((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[91, 90])).
% 0.12/0.37 tff(93,plain,
% 0.12/0.37 ((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[92, 89])).
% 0.12/0.37 tff(94,plain,
% 0.12/0.37 ((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not)),
% 0.12/0.37 inference(modus_ponens,[status(thm)],[93, 89])).
% 0.12/0.37 tff(95,plain,
% 0.12/0.37 ((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not)),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[94, 89])).
% 0.12/0.38 tff(96,plain,
% 0.12/0.38 ((~some_germans_play_not) | (~some_welsh_eat_not)),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[95, 49])).
% 0.12/0.38 tff(97,plain,
% 0.12/0.38 (~some_germans_play_not),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[96, 88])).
% 0.12/0.38 tff(98,plain,
% 0.12/0.38 (((~some_germans_play) | some_germans_play_not | some_of_the_eleven_are_not_oiling) <=> ((~some_germans_play) | some_germans_play_not | some_of_the_eleven_are_not_oiling)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(99,plain,
% 0.12/0.38 ((((~some_germans_play) | some_germans_play_not) | some_of_the_eleven_are_not_oiling) <=> ((~some_germans_play) | some_germans_play_not | some_of_the_eleven_are_not_oiling)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(100,plain,
% 0.12/0.38 (((~some_germans_play) | some_germans_play_not) <=> ((~some_germans_play) | some_germans_play_not)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(101,plain,
% 0.12/0.38 ((((~some_germans_play) | some_germans_play_not) | some_of_the_eleven_are_not_oiling) <=> (((~some_germans_play) | some_germans_play_not) | some_of_the_eleven_are_not_oiling)),
% 0.12/0.38 inference(monotonicity,[status(thm)],[100])).
% 0.12/0.38 tff(102,plain,
% 0.12/0.38 ((((~some_germans_play) | some_germans_play_not) | some_of_the_eleven_are_not_oiling) <=> ((~some_germans_play) | some_germans_play_not | some_of_the_eleven_are_not_oiling)),
% 0.12/0.38 inference(transitivity,[status(thm)],[101, 99])).
% 0.12/0.38 tff(103,axiom,(((~some_germans_play) | some_germans_play_not) | some_of_the_eleven_are_not_oiling), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c3')).
% 0.12/0.38 tff(104,plain,
% 0.12/0.38 ((~some_germans_play) | some_germans_play_not | some_of_the_eleven_are_not_oiling),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[103, 102])).
% 0.12/0.38 tff(105,plain,
% 0.12/0.38 ((~some_germans_play) | some_germans_play_not | some_of_the_eleven_are_not_oiling),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[104, 98])).
% 0.12/0.38 tff(106,plain,
% 0.12/0.38 ((~some_germans_play) | some_germans_play_not | some_of_the_eleven_are_not_oiling),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[105, 98])).
% 0.12/0.38 tff(107,plain,
% 0.12/0.38 ((~some_germans_play) | some_germans_play_not | some_of_the_eleven_are_not_oiling),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[106, 98])).
% 0.12/0.38 tff(108,plain,
% 0.12/0.38 (some_germans_play_not | some_of_the_eleven_are_not_oiling),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[107, 23])).
% 0.12/0.38 tff(109,plain,
% 0.12/0.38 ($false),
% 0.12/0.38 inference(unit_resolution,[status(thm)],[108, 97, 76])).
% 0.12/0.38 % SZS output end Proof
% 0.12/0.38 % E exiting
%------------------------------------------------------------------------------