TSTP Solution File: PUZ014-1 by Z3---4.8.9.0
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- Process Solution
%------------------------------------------------------------------------------
% File : Z3---4.8.9.0
% Problem : PUZ014-1 : TPTP v8.1.0. Released v1.0.0.
% Transfm : none
% Format : tptp
% Command : z3_tptp -proof -model -t:%d -file:%s
% Computer : n008.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 14:10:50 EDT 2022
% Result : Unsatisfiable 0.12s 0.38s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : PUZ014-1 : 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 : n008.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 18:22:10 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.
% 0.12/0.38 % SZS status Unsatisfiable
% 0.12/0.38 % SZS output start Proof
% 0.12/0.38 tff(some_scotch_dance_type, type, (
% 0.12/0.38 some_scotch_dance: $o)).
% 0.12/0.38 tff(some_of_the_eleven_are_not_oiling_type, type, (
% 0.12/0.38 some_of_the_eleven_are_not_oiling: $o)).
% 0.12/0.38 tff(some_monitors_are_awake_type, type, (
% 0.12/0.38 some_monitors_are_awake: $o)).
% 0.12/0.38 tff(some_english_sing_not_type, type, (
% 0.12/0.38 some_english_sing_not: $o)).
% 0.12/0.38 tff(some_germans_play_type, type, (
% 0.12/0.38 some_germans_play: $o)).
% 0.12/0.38 tff(some_irish_fight_not_type, type, (
% 0.12/0.38 some_irish_fight_not: $o)).
% 0.12/0.38 tff(some_scotch_dance_not_type, type, (
% 0.12/0.38 some_scotch_dance_not: $o)).
% 0.12/0.38 tff(some_monitors_are_not_awake_type, type, (
% 0.12/0.38 some_monitors_are_not_awake: $o)).
% 0.12/0.38 tff(some_english_sing_type, type, (
% 0.12/0.38 some_english_sing: $o)).
% 0.12/0.38 tff(some_germans_play_not_type, type, (
% 0.12/0.38 some_germans_play_not: $o)).
% 0.12/0.38 tff(some_welsh_eat_not_type, type, (
% 0.12/0.38 some_welsh_eat_not: $o)).
% 0.12/0.38 tff(some_irish_fight_type, type, (
% 0.12/0.38 some_irish_fight: $o)).
% 0.12/0.38 tff(some_welsh_eat_type, type, (
% 0.12/0.38 some_welsh_eat: $o)).
% 0.12/0.38 tff(1,assumption,(~some_scotch_dance), introduced(assumption)).
% 0.12/0.38 tff(2,plain,
% 0.12/0.38 ((some_scotch_dance | $false | (~some_of_the_eleven_are_not_oiling)) <=> (some_scotch_dance | (~some_of_the_eleven_are_not_oiling))),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(3,plain,
% 0.12/0.38 ((~$true) <=> $false),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(4,plain,
% 0.12/0.38 ((some_monitors_are_awake <=> $true) <=> some_monitors_are_awake),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(5,plain,
% 0.12/0.38 (some_monitors_are_awake <=> (some_monitors_are_awake <=> $true)),
% 0.12/0.38 inference(symmetry,[status(thm)],[4])).
% 0.12/0.38 tff(6,plain,
% 0.12/0.38 (($false | some_monitors_are_awake) <=> some_monitors_are_awake),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(7,plain,
% 0.12/0.38 ((some_english_sing_not | $false) <=> some_english_sing_not),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(8,plain,
% 0.12/0.38 ((some_germans_play | $false | $false) <=> some_germans_play),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(9,plain,
% 0.12/0.38 (($false | $false | some_irish_fight_not) <=> some_irish_fight_not),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(10,axiom,(some_monitors_are_not_awake), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','prove_all_monitors_are_awake')).
% 0.12/0.38 tff(11,plain,
% 0.12/0.38 (some_monitors_are_not_awake <=> $true),
% 0.12/0.38 inference(iff_true,[status(thm)],[10])).
% 0.12/0.38 tff(12,plain,
% 0.12/0.38 ((~some_monitors_are_not_awake) <=> (~$true)),
% 0.12/0.38 inference(monotonicity,[status(thm)],[11])).
% 0.12/0.38 tff(13,plain,
% 0.12/0.38 ((~some_monitors_are_not_awake) <=> $false),
% 0.12/0.38 inference(transitivity,[status(thm)],[12, 3])).
% 0.12/0.38 tff(14,axiom,(some_english_sing), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c18')).
% 0.12/0.38 tff(15,plain,
% 0.12/0.38 (some_english_sing <=> $true),
% 0.12/0.38 inference(iff_true,[status(thm)],[14])).
% 0.12/0.38 tff(16,plain,
% 0.12/0.38 ((~some_english_sing) <=> (~$true)),
% 0.12/0.38 inference(monotonicity,[status(thm)],[15])).
% 0.12/0.38 tff(17,plain,
% 0.12/0.38 ((~some_english_sing) <=> $false),
% 0.12/0.38 inference(transitivity,[status(thm)],[16, 3])).
% 0.12/0.38 tff(18,plain,
% 0.12/0.38 (((~some_english_sing) | (~some_monitors_are_not_awake) | some_irish_fight_not) <=> ($false | $false | some_irish_fight_not)),
% 0.12/0.38 inference(monotonicity,[status(thm)],[17, 13])).
% 0.12/0.38 tff(19,plain,
% 0.12/0.38 (((~some_english_sing) | (~some_monitors_are_not_awake) | some_irish_fight_not) <=> some_irish_fight_not),
% 0.12/0.38 inference(transitivity,[status(thm)],[18, 9])).
% 0.12/0.38 tff(20,plain,
% 0.12/0.38 (((~some_english_sing) | (~some_monitors_are_not_awake) | some_irish_fight_not) <=> ((~some_english_sing) | (~some_monitors_are_not_awake) | some_irish_fight_not)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(21,plain,
% 0.12/0.38 ((((~some_english_sing) | (~some_monitors_are_not_awake)) | some_irish_fight_not) <=> ((~some_english_sing) | (~some_monitors_are_not_awake) | some_irish_fight_not)),
% 0.12/0.38 inference(rewrite,[status(thm)],[])).
% 0.12/0.38 tff(22,axiom,(((~some_english_sing) | (~some_monitors_are_not_awake)) | some_irish_fight_not), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c10')).
% 0.12/0.38 tff(23,plain,
% 0.12/0.38 ((~some_english_sing) | (~some_monitors_are_not_awake) | some_irish_fight_not),
% 0.12/0.38 inference(modus_ponens,[status(thm)],[22, 21])).
% 0.12/0.38 tff(24,plain,
% 0.12/0.38 ((~some_english_sing) | (~some_monitors_are_not_awake) | some_irish_fight_not),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[23, 20])).
% 0.19/0.38 tff(25,plain,
% 0.19/0.38 (some_irish_fight_not),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[24, 19])).
% 0.19/0.38 tff(26,plain,
% 0.19/0.38 (some_irish_fight_not <=> $true),
% 0.19/0.38 inference(iff_true,[status(thm)],[25])).
% 0.19/0.38 tff(27,plain,
% 0.19/0.38 ((~some_irish_fight_not) <=> (~$true)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[26])).
% 0.19/0.38 tff(28,plain,
% 0.19/0.38 ((~some_irish_fight_not) <=> $false),
% 0.19/0.38 inference(transitivity,[status(thm)],[27, 3])).
% 0.19/0.38 tff(29,axiom,(some_scotch_dance_not), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c19')).
% 0.19/0.38 tff(30,plain,
% 0.19/0.38 (some_scotch_dance_not <=> $true),
% 0.19/0.38 inference(iff_true,[status(thm)],[29])).
% 0.19/0.38 tff(31,plain,
% 0.19/0.38 ((~some_scotch_dance_not) <=> (~$true)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[30])).
% 0.19/0.38 tff(32,plain,
% 0.19/0.38 ((~some_scotch_dance_not) <=> $false),
% 0.19/0.38 inference(transitivity,[status(thm)],[31, 3])).
% 0.19/0.38 tff(33,plain,
% 0.19/0.38 ((some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not)) <=> (some_germans_play | $false | $false)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[32, 28])).
% 0.19/0.38 tff(34,plain,
% 0.19/0.38 ((some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not)) <=> some_germans_play),
% 0.19/0.38 inference(transitivity,[status(thm)],[33, 8])).
% 0.19/0.38 tff(35,plain,
% 0.19/0.38 ((some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not)) <=> (some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(36,plain,
% 0.19/0.38 ((((~some_scotch_dance_not) | (~some_irish_fight_not)) | some_germans_play) <=> (some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(37,plain,
% 0.19/0.38 (((~some_scotch_dance_not) | (~some_irish_fight_not)) <=> ((~some_scotch_dance_not) | (~some_irish_fight_not))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(38,plain,
% 0.19/0.38 ((((~some_scotch_dance_not) | (~some_irish_fight_not)) | some_germans_play) <=> (((~some_scotch_dance_not) | (~some_irish_fight_not)) | some_germans_play)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[37])).
% 0.19/0.38 tff(39,plain,
% 0.19/0.38 ((((~some_scotch_dance_not) | (~some_irish_fight_not)) | some_germans_play) <=> (some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not))),
% 0.19/0.38 inference(transitivity,[status(thm)],[38, 36])).
% 0.19/0.38 tff(40,axiom,(((~some_scotch_dance_not) | (~some_irish_fight_not)) | some_germans_play), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c6')).
% 0.19/0.38 tff(41,plain,
% 0.19/0.38 (some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[40, 39])).
% 0.19/0.38 tff(42,plain,
% 0.19/0.38 (some_germans_play | (~some_scotch_dance_not) | (~some_irish_fight_not)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[41, 35])).
% 0.19/0.38 tff(43,plain,
% 0.19/0.38 (some_germans_play),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[42, 34])).
% 0.19/0.38 tff(44,plain,
% 0.19/0.38 (some_germans_play <=> $true),
% 0.19/0.38 inference(iff_true,[status(thm)],[43])).
% 0.19/0.38 tff(45,plain,
% 0.19/0.38 ((~some_germans_play) <=> (~$true)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[44])).
% 0.19/0.38 tff(46,plain,
% 0.19/0.38 ((~some_germans_play) <=> $false),
% 0.19/0.38 inference(transitivity,[status(thm)],[45, 3])).
% 0.19/0.38 tff(47,plain,
% 0.19/0.38 ((some_english_sing_not | (~some_germans_play)) <=> (some_english_sing_not | $false)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[46])).
% 0.19/0.38 tff(48,plain,
% 0.19/0.38 ((some_english_sing_not | (~some_germans_play)) <=> some_english_sing_not),
% 0.19/0.38 inference(transitivity,[status(thm)],[47, 7])).
% 0.19/0.38 tff(49,plain,
% 0.19/0.38 (($false | some_english_sing_not | (~some_germans_play) | $false) <=> (some_english_sing_not | (~some_germans_play))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(50,plain,
% 0.19/0.38 (((~some_english_sing) | some_english_sing_not | (~some_germans_play) | (~some_scotch_dance_not)) <=> ($false | some_english_sing_not | (~some_germans_play) | $false)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[17, 32])).
% 0.19/0.38 tff(51,plain,
% 0.19/0.38 (((~some_english_sing) | some_english_sing_not | (~some_germans_play) | (~some_scotch_dance_not)) <=> (some_english_sing_not | (~some_germans_play))),
% 0.19/0.38 inference(transitivity,[status(thm)],[50, 49])).
% 0.19/0.38 tff(52,plain,
% 0.19/0.38 (((~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))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(53,plain,
% 0.19/0.38 ((((~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))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(54,plain,
% 0.19/0.38 ((((~some_english_sing) | some_english_sing_not) | (~some_scotch_dance_not)) <=> ((~some_english_sing) | some_english_sing_not | (~some_scotch_dance_not))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(55,plain,
% 0.19/0.38 (((~some_english_sing) | some_english_sing_not) <=> ((~some_english_sing) | some_english_sing_not)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(56,plain,
% 0.19/0.38 ((((~some_english_sing) | some_english_sing_not) | (~some_scotch_dance_not)) <=> (((~some_english_sing) | some_english_sing_not) | (~some_scotch_dance_not))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[55])).
% 0.19/0.38 tff(57,plain,
% 0.19/0.38 ((((~some_english_sing) | some_english_sing_not) | (~some_scotch_dance_not)) <=> ((~some_english_sing) | some_english_sing_not | (~some_scotch_dance_not))),
% 0.19/0.38 inference(transitivity,[status(thm)],[56, 54])).
% 0.19/0.38 tff(58,plain,
% 0.19/0.38 (((((~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))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[57])).
% 0.19/0.38 tff(59,plain,
% 0.19/0.38 (((((~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))),
% 0.19/0.38 inference(transitivity,[status(thm)],[58, 53])).
% 0.19/0.38 tff(60,axiom,((((~some_english_sing) | some_english_sing_not) | (~some_scotch_dance_not)) | (~some_germans_play)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c9')).
% 0.19/0.38 tff(61,plain,
% 0.19/0.38 ((~some_english_sing) | some_english_sing_not | (~some_germans_play) | (~some_scotch_dance_not)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[60, 59])).
% 0.19/0.38 tff(62,plain,
% 0.19/0.38 ((~some_english_sing) | some_english_sing_not | (~some_germans_play) | (~some_scotch_dance_not)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[61, 52])).
% 0.19/0.38 tff(63,plain,
% 0.19/0.38 (some_english_sing_not | (~some_germans_play)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[62, 51])).
% 0.19/0.38 tff(64,plain,
% 0.19/0.38 (some_english_sing_not),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[63, 48])).
% 0.19/0.38 tff(65,plain,
% 0.19/0.38 (some_english_sing_not <=> $true),
% 0.19/0.38 inference(iff_true,[status(thm)],[64])).
% 0.19/0.38 tff(66,plain,
% 0.19/0.38 ((~some_english_sing_not) <=> (~$true)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[65])).
% 0.19/0.38 tff(67,plain,
% 0.19/0.38 ((~some_english_sing_not) <=> $false),
% 0.19/0.38 inference(transitivity,[status(thm)],[66, 3])).
% 0.19/0.38 tff(68,plain,
% 0.19/0.38 (((~some_english_sing_not) | some_monitors_are_awake) <=> ($false | some_monitors_are_awake)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[67])).
% 0.19/0.38 tff(69,plain,
% 0.19/0.38 (((~some_english_sing_not) | some_monitors_are_awake) <=> some_monitors_are_awake),
% 0.19/0.38 inference(transitivity,[status(thm)],[68, 6])).
% 0.19/0.38 tff(70,plain,
% 0.19/0.38 (($false | (~some_english_sing_not) | some_monitors_are_awake) <=> ((~some_english_sing_not) | some_monitors_are_awake)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(71,plain,
% 0.19/0.38 (((~some_english_sing) | (~some_english_sing_not) | some_monitors_are_awake) <=> ($false | (~some_english_sing_not) | some_monitors_are_awake)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[17])).
% 0.19/0.38 tff(72,plain,
% 0.19/0.38 (((~some_english_sing) | (~some_english_sing_not) | some_monitors_are_awake) <=> ((~some_english_sing_not) | some_monitors_are_awake)),
% 0.19/0.38 inference(transitivity,[status(thm)],[71, 70])).
% 0.19/0.38 tff(73,plain,
% 0.19/0.38 (((~some_english_sing) | (~some_english_sing_not) | some_monitors_are_awake) <=> ((~some_english_sing) | (~some_english_sing_not) | some_monitors_are_awake)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(74,plain,
% 0.19/0.38 ((((~some_english_sing) | (~some_english_sing_not)) | some_monitors_are_awake) <=> ((~some_english_sing) | (~some_english_sing_not) | some_monitors_are_awake)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(75,axiom,(((~some_english_sing) | (~some_english_sing_not)) | some_monitors_are_awake), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c1')).
% 0.19/0.38 tff(76,plain,
% 0.19/0.38 ((~some_english_sing) | (~some_english_sing_not) | some_monitors_are_awake),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[75, 74])).
% 0.19/0.38 tff(77,plain,
% 0.19/0.38 ((~some_english_sing) | (~some_english_sing_not) | some_monitors_are_awake),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[76, 73])).
% 0.19/0.38 tff(78,plain,
% 0.19/0.38 ((~some_english_sing_not) | some_monitors_are_awake),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[77, 72])).
% 0.19/0.38 tff(79,plain,
% 0.19/0.38 (some_monitors_are_awake),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[78, 69])).
% 0.19/0.38 tff(80,plain,
% 0.19/0.38 (some_monitors_are_awake <=> $true),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[79, 5])).
% 0.19/0.38 tff(81,plain,
% 0.19/0.38 ((~some_monitors_are_awake) <=> (~$true)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[80])).
% 0.19/0.38 tff(82,plain,
% 0.19/0.38 ((~some_monitors_are_awake) <=> $false),
% 0.19/0.38 inference(transitivity,[status(thm)],[81, 3])).
% 0.19/0.38 tff(83,plain,
% 0.19/0.38 ((some_scotch_dance | (~some_monitors_are_awake) | (~some_of_the_eleven_are_not_oiling)) <=> (some_scotch_dance | $false | (~some_of_the_eleven_are_not_oiling))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[82])).
% 0.19/0.38 tff(84,plain,
% 0.19/0.38 ((some_scotch_dance | (~some_monitors_are_awake) | (~some_of_the_eleven_are_not_oiling)) <=> (some_scotch_dance | (~some_of_the_eleven_are_not_oiling))),
% 0.19/0.38 inference(transitivity,[status(thm)],[83, 2])).
% 0.19/0.38 tff(85,plain,
% 0.19/0.38 ((((~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))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(86,axiom,(((~some_monitors_are_awake) | (~some_of_the_eleven_are_not_oiling)) | some_scotch_dance), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c11')).
% 0.19/0.38 tff(87,plain,
% 0.19/0.38 (some_scotch_dance | (~some_monitors_are_awake) | (~some_of_the_eleven_are_not_oiling)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[86, 85])).
% 0.19/0.38 tff(88,plain,
% 0.19/0.38 (some_scotch_dance | (~some_of_the_eleven_are_not_oiling)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[87, 84])).
% 0.19/0.38 tff(89,plain,
% 0.19/0.38 (~some_of_the_eleven_are_not_oiling),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[88, 1])).
% 0.19/0.38 tff(90,plain,
% 0.19/0.38 ((some_scotch_dance | $false | some_welsh_eat_not) <=> (some_scotch_dance | some_welsh_eat_not)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(91,plain,
% 0.19/0.38 ((some_scotch_dance | (~some_germans_play) | some_welsh_eat_not) <=> (some_scotch_dance | $false | some_welsh_eat_not)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[46])).
% 0.19/0.38 tff(92,plain,
% 0.19/0.38 ((some_scotch_dance | (~some_germans_play) | some_welsh_eat_not) <=> (some_scotch_dance | some_welsh_eat_not)),
% 0.19/0.38 inference(transitivity,[status(thm)],[91, 90])).
% 0.19/0.38 tff(93,plain,
% 0.19/0.38 ((some_scotch_dance | (~some_germans_play) | some_welsh_eat_not) <=> (some_scotch_dance | (~some_germans_play) | some_welsh_eat_not)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(94,plain,
% 0.19/0.38 (((some_scotch_dance | (~some_germans_play)) | some_welsh_eat_not) <=> (some_scotch_dance | (~some_germans_play) | some_welsh_eat_not)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(95,plain,
% 0.19/0.38 (((~some_germans_play) | some_scotch_dance) <=> (some_scotch_dance | (~some_germans_play))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(96,plain,
% 0.19/0.38 ((((~some_germans_play) | some_scotch_dance) | some_welsh_eat_not) <=> ((some_scotch_dance | (~some_germans_play)) | some_welsh_eat_not)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[95])).
% 0.19/0.38 tff(97,plain,
% 0.19/0.38 ((((~some_germans_play) | some_scotch_dance) | some_welsh_eat_not) <=> (some_scotch_dance | (~some_germans_play) | some_welsh_eat_not)),
% 0.19/0.38 inference(transitivity,[status(thm)],[96, 94])).
% 0.19/0.38 tff(98,axiom,(((~some_germans_play) | some_scotch_dance) | some_welsh_eat_not), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c5')).
% 0.19/0.38 tff(99,plain,
% 0.19/0.38 (some_scotch_dance | (~some_germans_play) | some_welsh_eat_not),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[98, 97])).
% 0.19/0.38 tff(100,plain,
% 0.19/0.38 (some_scotch_dance | (~some_germans_play) | some_welsh_eat_not),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[99, 93])).
% 0.19/0.38 tff(101,plain,
% 0.19/0.38 (some_scotch_dance | (~some_germans_play) | some_welsh_eat_not),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[100, 93])).
% 0.19/0.38 tff(102,plain,
% 0.19/0.38 (some_scotch_dance | some_welsh_eat_not),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[101, 92])).
% 0.19/0.38 tff(103,plain,
% 0.19/0.38 (some_welsh_eat_not),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[102, 1])).
% 0.19/0.38 tff(104,plain,
% 0.19/0.38 (($false | (~some_germans_play_not) | (~some_welsh_eat_not)) <=> ((~some_germans_play_not) | (~some_welsh_eat_not))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(105,plain,
% 0.19/0.38 ((some_irish_fight <=> $true) <=> some_irish_fight),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(106,plain,
% 0.19/0.38 (some_irish_fight <=> (some_irish_fight <=> $true)),
% 0.19/0.38 inference(symmetry,[status(thm)],[105])).
% 0.19/0.38 tff(107,plain,
% 0.19/0.38 ((some_irish_fight | $false) <=> some_irish_fight),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(108,plain,
% 0.19/0.38 ((some_irish_fight | (~some_monitors_are_awake)) <=> (some_irish_fight | $false)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[82])).
% 0.19/0.38 tff(109,plain,
% 0.19/0.38 ((some_irish_fight | (~some_monitors_are_awake)) <=> some_irish_fight),
% 0.19/0.38 inference(transitivity,[status(thm)],[108, 107])).
% 0.19/0.38 tff(110,plain,
% 0.19/0.38 ((some_irish_fight | (~some_monitors_are_awake) | $false) <=> (some_irish_fight | (~some_monitors_are_awake))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(111,plain,
% 0.19/0.38 ((some_irish_fight | (~some_monitors_are_awake) | (~some_monitors_are_not_awake)) <=> (some_irish_fight | (~some_monitors_are_awake) | $false)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[13])).
% 0.19/0.38 tff(112,plain,
% 0.19/0.38 ((some_irish_fight | (~some_monitors_are_awake) | (~some_monitors_are_not_awake)) <=> (some_irish_fight | (~some_monitors_are_awake))),
% 0.19/0.38 inference(transitivity,[status(thm)],[111, 110])).
% 0.19/0.38 tff(113,plain,
% 0.19/0.38 ((((~some_monitors_are_awake) | (~some_monitors_are_not_awake)) | some_irish_fight) <=> (some_irish_fight | (~some_monitors_are_awake) | (~some_monitors_are_not_awake))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(114,axiom,(((~some_monitors_are_awake) | (~some_monitors_are_not_awake)) | some_irish_fight), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c4')).
% 0.19/0.38 tff(115,plain,
% 0.19/0.38 (some_irish_fight | (~some_monitors_are_awake) | (~some_monitors_are_not_awake)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[114, 113])).
% 0.19/0.38 tff(116,plain,
% 0.19/0.38 (some_irish_fight | (~some_monitors_are_awake)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[115, 112])).
% 0.19/0.38 tff(117,plain,
% 0.19/0.38 (some_irish_fight),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[116, 109])).
% 0.19/0.38 tff(118,plain,
% 0.19/0.38 (some_irish_fight <=> $true),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[117, 106])).
% 0.19/0.38 tff(119,plain,
% 0.19/0.38 ((~some_irish_fight) <=> (~$true)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[118])).
% 0.19/0.38 tff(120,plain,
% 0.19/0.38 ((~some_irish_fight) <=> $false),
% 0.19/0.38 inference(transitivity,[status(thm)],[119, 3])).
% 0.19/0.38 tff(121,plain,
% 0.19/0.38 (((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not)) <=> ($false | (~some_germans_play_not) | (~some_welsh_eat_not))),
% 0.19/0.38 inference(monotonicity,[status(thm)],[120])).
% 0.19/0.38 tff(122,plain,
% 0.19/0.38 (((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not)) <=> ((~some_germans_play_not) | (~some_welsh_eat_not))),
% 0.19/0.38 inference(transitivity,[status(thm)],[121, 104])).
% 0.19/0.38 tff(123,plain,
% 0.19/0.38 (((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not)) <=> ((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(124,plain,
% 0.19/0.38 ((((~some_germans_play_not) | (~some_welsh_eat_not)) | (~some_irish_fight)) <=> ((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not))),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(125,axiom,(((~some_germans_play_not) | (~some_welsh_eat_not)) | (~some_irish_fight)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c8')).
% 0.19/0.38 tff(126,plain,
% 0.19/0.38 ((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[125, 124])).
% 0.19/0.38 tff(127,plain,
% 0.19/0.38 ((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[126, 123])).
% 0.19/0.38 tff(128,plain,
% 0.19/0.38 ((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[127, 123])).
% 0.19/0.38 tff(129,plain,
% 0.19/0.38 ((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[128, 123])).
% 0.19/0.38 tff(130,plain,
% 0.19/0.38 ((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[129, 123])).
% 0.19/0.38 tff(131,plain,
% 0.19/0.38 ((~some_irish_fight) | (~some_germans_play_not) | (~some_welsh_eat_not)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[130, 123])).
% 0.19/0.38 tff(132,plain,
% 0.19/0.38 ((~some_germans_play_not) | (~some_welsh_eat_not)),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[131, 122])).
% 0.19/0.38 tff(133,plain,
% 0.19/0.38 (~some_germans_play_not),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[132, 103])).
% 0.19/0.38 tff(134,plain,
% 0.19/0.38 (($false | some_germans_play_not | some_of_the_eleven_are_not_oiling) <=> (some_germans_play_not | some_of_the_eleven_are_not_oiling)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(135,plain,
% 0.19/0.38 (((~some_germans_play) | some_germans_play_not | some_of_the_eleven_are_not_oiling) <=> ($false | some_germans_play_not | some_of_the_eleven_are_not_oiling)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[46])).
% 0.19/0.38 tff(136,plain,
% 0.19/0.38 (((~some_germans_play) | some_germans_play_not | some_of_the_eleven_are_not_oiling) <=> (some_germans_play_not | some_of_the_eleven_are_not_oiling)),
% 0.19/0.38 inference(transitivity,[status(thm)],[135, 134])).
% 0.19/0.38 tff(137,plain,
% 0.19/0.38 (((~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)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(138,plain,
% 0.19/0.38 ((((~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)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(139,plain,
% 0.19/0.38 (((~some_germans_play) | some_germans_play_not) <=> ((~some_germans_play) | some_germans_play_not)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(140,plain,
% 0.19/0.38 ((((~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)),
% 0.19/0.38 inference(monotonicity,[status(thm)],[139])).
% 0.19/0.38 tff(141,plain,
% 0.19/0.38 ((((~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)),
% 0.19/0.38 inference(transitivity,[status(thm)],[140, 138])).
% 0.19/0.38 tff(142,axiom,(((~some_germans_play) | some_germans_play_not) | some_of_the_eleven_are_not_oiling), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c3')).
% 0.19/0.38 tff(143,plain,
% 0.19/0.38 ((~some_germans_play) | some_germans_play_not | some_of_the_eleven_are_not_oiling),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[142, 141])).
% 0.19/0.38 tff(144,plain,
% 0.19/0.38 ((~some_germans_play) | some_germans_play_not | some_of_the_eleven_are_not_oiling),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[143, 137])).
% 0.19/0.38 tff(145,plain,
% 0.19/0.38 ((~some_germans_play) | some_germans_play_not | some_of_the_eleven_are_not_oiling),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[144, 137])).
% 0.19/0.38 tff(146,plain,
% 0.19/0.38 (some_germans_play_not | some_of_the_eleven_are_not_oiling),
% 0.19/0.38 inference(modus_ponens,[status(thm)],[145, 136])).
% 0.19/0.38 tff(147,plain,
% 0.19/0.38 ($false),
% 0.19/0.38 inference(unit_resolution,[status(thm)],[146, 133, 89])).
% 0.19/0.38 tff(148,plain,(some_scotch_dance), inference(lemma,lemma(discharge,[]))).
% 0.19/0.38 tff(149,plain,
% 0.19/0.38 (((~some_scotch_dance) | some_welsh_eat) <=> ((~some_scotch_dance) | some_welsh_eat)),
% 0.19/0.38 inference(rewrite,[status(thm)],[])).
% 0.19/0.38 tff(150,plain,
% 0.19/0.39 (((~some_scotch_dance) | $false | some_welsh_eat) <=> ((~some_scotch_dance) | some_welsh_eat)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(151,plain,
% 0.19/0.39 (((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat) <=> ((~some_scotch_dance) | $false | some_welsh_eat)),
% 0.19/0.39 inference(monotonicity,[status(thm)],[120])).
% 0.19/0.39 tff(152,plain,
% 0.19/0.39 (((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat) <=> ((~some_scotch_dance) | some_welsh_eat)),
% 0.19/0.39 inference(transitivity,[status(thm)],[151, 150])).
% 0.19/0.39 tff(153,plain,
% 0.19/0.39 (((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat) <=> ((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(154,plain,
% 0.19/0.39 ((((~some_scotch_dance) | (~some_irish_fight)) | some_welsh_eat) <=> ((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat)),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(155,plain,
% 0.19/0.39 (((~some_scotch_dance) | (~some_irish_fight)) <=> ((~some_scotch_dance) | (~some_irish_fight))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(156,plain,
% 0.19/0.39 ((((~some_scotch_dance) | (~some_irish_fight)) | some_welsh_eat) <=> (((~some_scotch_dance) | (~some_irish_fight)) | some_welsh_eat)),
% 0.19/0.39 inference(monotonicity,[status(thm)],[155])).
% 0.19/0.39 tff(157,plain,
% 0.19/0.39 ((((~some_scotch_dance) | (~some_irish_fight)) | some_welsh_eat) <=> ((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat)),
% 0.19/0.39 inference(transitivity,[status(thm)],[156, 154])).
% 0.19/0.39 tff(158,axiom,(((~some_scotch_dance) | (~some_irish_fight)) | some_welsh_eat), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c2')).
% 0.19/0.39 tff(159,plain,
% 0.19/0.39 ((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[158, 157])).
% 0.19/0.39 tff(160,plain,
% 0.19/0.39 ((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[159, 153])).
% 0.19/0.39 tff(161,plain,
% 0.19/0.39 ((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[160, 153])).
% 0.19/0.39 tff(162,plain,
% 0.19/0.39 ((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[161, 153])).
% 0.19/0.39 tff(163,plain,
% 0.19/0.39 ((~some_scotch_dance) | (~some_irish_fight) | some_welsh_eat),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[162, 153])).
% 0.19/0.39 tff(164,plain,
% 0.19/0.39 ((~some_scotch_dance) | some_welsh_eat),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[163, 152])).
% 0.19/0.39 tff(165,plain,
% 0.19/0.39 ((~some_scotch_dance) | some_welsh_eat),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[164, 149])).
% 0.19/0.39 tff(166,plain,
% 0.19/0.39 ((~some_scotch_dance) | some_welsh_eat),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[165, 149])).
% 0.19/0.39 tff(167,plain,
% 0.19/0.39 ((~some_scotch_dance) | some_welsh_eat),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[166, 149])).
% 0.19/0.39 tff(168,plain,
% 0.19/0.39 ((~some_scotch_dance) | some_welsh_eat),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[167, 149])).
% 0.19/0.39 tff(169,plain,
% 0.19/0.39 (some_welsh_eat),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[168, 148])).
% 0.19/0.39 tff(170,plain,
% 0.19/0.39 (((~some_scotch_dance) | $false | (~some_welsh_eat)) <=> ((~some_scotch_dance) | (~some_welsh_eat))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(171,plain,
% 0.19/0.39 (((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat)) <=> ((~some_scotch_dance) | $false | (~some_welsh_eat))),
% 0.19/0.39 inference(monotonicity,[status(thm)],[82])).
% 0.19/0.39 tff(172,plain,
% 0.19/0.39 (((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat)) <=> ((~some_scotch_dance) | (~some_welsh_eat))),
% 0.19/0.39 inference(transitivity,[status(thm)],[171, 170])).
% 0.19/0.39 tff(173,plain,
% 0.19/0.39 (((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat)) <=> ((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(174,plain,
% 0.19/0.39 ((((~some_monitors_are_awake) | (~some_welsh_eat)) | (~some_scotch_dance)) <=> ((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat))),
% 0.19/0.39 inference(rewrite,[status(thm)],[])).
% 0.19/0.39 tff(175,axiom,(((~some_monitors_are_awake) | (~some_welsh_eat)) | (~some_scotch_dance)), file('/export/starexec/sandbox2/benchmark/theBenchmark.p','c7')).
% 0.19/0.39 tff(176,plain,
% 0.19/0.39 ((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[175, 174])).
% 0.19/0.39 tff(177,plain,
% 0.19/0.39 ((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[176, 173])).
% 0.19/0.39 tff(178,plain,
% 0.19/0.39 ((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[177, 173])).
% 0.19/0.39 tff(179,plain,
% 0.19/0.39 ((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[178, 173])).
% 0.19/0.39 tff(180,plain,
% 0.19/0.39 ((~some_scotch_dance) | (~some_monitors_are_awake) | (~some_welsh_eat)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[179, 173])).
% 0.19/0.39 tff(181,plain,
% 0.19/0.39 ((~some_scotch_dance) | (~some_welsh_eat)),
% 0.19/0.39 inference(modus_ponens,[status(thm)],[180, 172])).
% 0.19/0.39 tff(182,plain,
% 0.19/0.39 ($false),
% 0.19/0.39 inference(unit_resolution,[status(thm)],[181, 169, 148])).
% 0.19/0.39 % SZS output end Proof
%------------------------------------------------------------------------------