TSTP Solution File: KLE022+3 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : KLE022+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n028.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 : 600s
% DateTime : Sun Jul 17 02:10:01 EDT 2022
% Result : Theorem 132.78s 130.76s
% Output : Proof 132.78s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KLE022+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 09:05:26 EDT 2022
% 0.13/0.34 % CPUTime :
% 132.78/130.76 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 132.78/130.77 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 132.78/130.78
% 132.78/130.78 %-----------------------------------------------------
% 132.78/130.78 fof(test_3, axiom, ! [_39391, _39394] : (test(_39391) => (c(_39391) = _39394 <=> complement(_39391, _39394))), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax', test_3)).
% 132.78/130.78 fof(right_distributivity, axiom, ! [_39565, _39568, _39571] : multiplication(_39565, addition(_39568, _39571)) = addition(multiplication(_39565, _39568), multiplication(_39565, _39571)), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax', right_distributivity)).
% 132.78/130.78 fof(goals, conjecture, ! [_39774, _39777] : (test(_39777) => _39774 = addition(multiplication(_39774, _39777), multiplication(_39774, c(_39777)))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', goals)).
% 132.78/130.78 fof(multiplicative_right_identity, axiom, ! [_39979] : multiplication(_39979, one) = _39979, file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax', multiplicative_right_identity)).
% 132.78/130.78 fof(additive_commutativity, axiom, ! [_40115, _40118] : addition(_40115, _40118) = addition(_40118, _40115), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax', additive_commutativity)).
% 132.78/130.78 fof(test_2, axiom, ! [_40281, _40284] : (complement(_40284, _40281) <=> multiplication(_40281, _40284) = zero & multiplication(_40284, _40281) = zero & addition(_40281, _40284) = one), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax', test_2)).
% 132.78/130.78
% 132.78/130.78 cnf(1, plain, [_9916 = _9961, -(_9961 = _9916)], theory(equality)).
% 132.78/130.78 cnf(2, plain, [-(multiplication(_13226, _13359) = multiplication(_13293, _13424)), _13226 = _13293, _13359 = _13424], theory(equality)).
% 132.78/130.78 cnf(3, plain, [test(_18892), c(_18892) = _18944, -(complement(_18892, _18944))], clausify(test_3)).
% 132.78/130.78 cnf(4, plain, [-(multiplication(_16026, addition(_16085, _16143)) = addition(multiplication(_16026, _16085), multiplication(_16026, _16143)))], clausify(right_distributivity)).
% 132.78/130.78 cnf(5, plain, [2 ^ [] = addition(multiplication(2 ^ [], 3 ^ []), multiplication(2 ^ [], c(3 ^ [])))], clausify(goals)).
% 132.78/130.78 cnf(6, plain, [-(test(3 ^ []))], clausify(goals)).
% 132.78/130.78 cnf(7, plain, [-(multiplication(_15598, one) = _15598)], clausify(multiplicative_right_identity)).
% 132.78/130.78 cnf(8, plain, [-(_10195 = _10306), _10195 = _10251, _10251 = _10306], theory(equality)).
% 132.78/130.78 cnf(9, plain, [-(addition(_13926, _13971) = addition(_13971, _13926))], clausify(additive_commutativity)).
% 132.78/130.78 cnf(10, plain, [-(_9763 = _9763)], theory(equality)).
% 132.78/130.78 cnf(11, plain, [complement(_18347, _18281), -(addition(_18281, _18347) = one)], clausify(test_2)).
% 132.78/130.78
% 132.78/130.78 cnf('1',plain,[2 ^ [] = addition(multiplication(2 ^ [], 3 ^ []), multiplication(2 ^ [], c(3 ^ [])))],start(5)).
% 132.78/130.78 cnf('1.1',plain,[-(2 ^ [] = addition(multiplication(2 ^ [], 3 ^ []), multiplication(2 ^ [], c(3 ^ [])))), 2 ^ [] = multiplication(2 ^ [], one), multiplication(2 ^ [], one) = addition(multiplication(2 ^ [], 3 ^ []), multiplication(2 ^ [], c(3 ^ [])))],extension(8,bind([[_10195, _10251, _10306], [2 ^ [], multiplication(2 ^ [], one), addition(multiplication(2 ^ [], 3 ^ []), multiplication(2 ^ [], c(3 ^ [])))]]))).
% 132.78/130.78 cnf('1.1.1',plain,[-(2 ^ [] = multiplication(2 ^ [], one)), multiplication(2 ^ [], one) = 2 ^ []],extension(1,bind([[_9916, _9961], [multiplication(2 ^ [], one), 2 ^ []]]))).
% 132.78/130.78 cnf('1.1.1.1',plain,[-(multiplication(2 ^ [], one) = 2 ^ [])],extension(7,bind([[_15598], [2 ^ []]]))).
% 132.78/130.78 cnf('1.1.2',plain,[-(multiplication(2 ^ [], one) = addition(multiplication(2 ^ [], 3 ^ []), multiplication(2 ^ [], c(3 ^ [])))), addition(multiplication(2 ^ [], 3 ^ []), multiplication(2 ^ [], c(3 ^ []))) = multiplication(2 ^ [], one)],extension(1,bind([[_9916, _9961], [addition(multiplication(2 ^ [], 3 ^ []), multiplication(2 ^ [], c(3 ^ []))), multiplication(2 ^ [], one)]]))).
% 132.78/130.78 cnf('1.1.2.1',plain,[-(addition(multiplication(2 ^ [], 3 ^ []), multiplication(2 ^ [], c(3 ^ []))) = multiplication(2 ^ [], one)), addition(multiplication(2 ^ [], 3 ^ []), multiplication(2 ^ [], c(3 ^ []))) = multiplication(2 ^ [], addition(3 ^ [], c(3 ^ []))), multiplication(2 ^ [], addition(3 ^ [], c(3 ^ []))) = multiplication(2 ^ [], one)],extension(8,bind([[_10195, _10251, _10306], [addition(multiplication(2 ^ [], 3 ^ []), multiplication(2 ^ [], c(3 ^ []))), multiplication(2 ^ [], addition(3 ^ [], c(3 ^ []))), multiplication(2 ^ [], one)]]))).
% 132.78/130.78 cnf('1.1.2.1.1',plain,[-(addition(multiplication(2 ^ [], 3 ^ []), multiplication(2 ^ [], c(3 ^ []))) = multiplication(2 ^ [], addition(3 ^ [], c(3 ^ [])))), multiplication(2 ^ [], addition(3 ^ [], c(3 ^ []))) = addition(multiplication(2 ^ [], 3 ^ []), multiplication(2 ^ [], c(3 ^ [])))],extension(1,bind([[_9916, _9961], [multiplication(2 ^ [], addition(3 ^ [], c(3 ^ []))), addition(multiplication(2 ^ [], 3 ^ []), multiplication(2 ^ [], c(3 ^ [])))]]))).
% 132.78/130.78 cnf('1.1.2.1.1.1',plain,[-(multiplication(2 ^ [], addition(3 ^ [], c(3 ^ []))) = addition(multiplication(2 ^ [], 3 ^ []), multiplication(2 ^ [], c(3 ^ []))))],extension(4,bind([[_16085, _16026, _16143], [3 ^ [], 2 ^ [], c(3 ^ [])]]))).
% 132.78/130.78 cnf('1.1.2.1.2',plain,[-(multiplication(2 ^ [], addition(3 ^ [], c(3 ^ []))) = multiplication(2 ^ [], one)), multiplication(2 ^ [], addition(3 ^ [], c(3 ^ []))) = multiplication(2 ^ [], addition(c(3 ^ []), 3 ^ [])), multiplication(2 ^ [], addition(c(3 ^ []), 3 ^ [])) = multiplication(2 ^ [], one)],extension(8,bind([[_10195, _10251, _10306], [multiplication(2 ^ [], addition(3 ^ [], c(3 ^ []))), multiplication(2 ^ [], addition(c(3 ^ []), 3 ^ [])), multiplication(2 ^ [], one)]]))).
% 132.78/130.78 cnf('1.1.2.1.2.1',plain,[-(multiplication(2 ^ [], addition(3 ^ [], c(3 ^ []))) = multiplication(2 ^ [], addition(c(3 ^ []), 3 ^ []))), multiplication(2 ^ [], addition(c(3 ^ []), 3 ^ [])) = multiplication(2 ^ [], addition(3 ^ [], c(3 ^ [])))],extension(1,bind([[_9916, _9961], [multiplication(2 ^ [], addition(c(3 ^ []), 3 ^ [])), multiplication(2 ^ [], addition(3 ^ [], c(3 ^ [])))]]))).
% 132.78/130.78 cnf('1.1.2.1.2.1.1',plain,[-(multiplication(2 ^ [], addition(c(3 ^ []), 3 ^ [])) = multiplication(2 ^ [], addition(3 ^ [], c(3 ^ [])))), 2 ^ [] = 2 ^ [], addition(c(3 ^ []), 3 ^ []) = addition(3 ^ [], c(3 ^ []))],extension(2,bind([[_13226, _13293, _13359, _13424], [2 ^ [], 2 ^ [], addition(c(3 ^ []), 3 ^ []), addition(3 ^ [], c(3 ^ []))]]))).
% 132.78/130.78 cnf('1.1.2.1.2.1.1.1',plain,[-(2 ^ [] = 2 ^ []), 2 ^ [] = 2 ^ []],extension(1,bind([[_9916, _9961], [2 ^ [], 2 ^ []]]))).
% 132.78/130.78 cnf('1.1.2.1.2.1.1.1.1',plain,[-(2 ^ [] = 2 ^ [])],extension(10,bind([[_9763], [2 ^ []]]))).
% 132.78/130.78 cnf('1.1.2.1.2.1.1.2',plain,[-(addition(c(3 ^ []), 3 ^ []) = addition(3 ^ [], c(3 ^ []))), addition(3 ^ [], c(3 ^ [])) = addition(c(3 ^ []), 3 ^ [])],extension(1,bind([[_9916, _9961], [addition(3 ^ [], c(3 ^ [])), addition(c(3 ^ []), 3 ^ [])]]))).
% 132.78/130.78 cnf('1.1.2.1.2.1.1.2.1',plain,[-(addition(3 ^ [], c(3 ^ [])) = addition(c(3 ^ []), 3 ^ []))],extension(9,bind([[_13971, _13926], [c(3 ^ []), 3 ^ []]]))).
% 132.78/130.78 cnf('1.1.2.1.2.2',plain,[-(multiplication(2 ^ [], addition(c(3 ^ []), 3 ^ [])) = multiplication(2 ^ [], one)), 2 ^ [] = 2 ^ [], addition(c(3 ^ []), 3 ^ []) = one],extension(2,bind([[_13226, _13293, _13359, _13424], [2 ^ [], 2 ^ [], addition(c(3 ^ []), 3 ^ []), one]]))).
% 132.78/130.78 cnf('1.1.2.1.2.2.1',plain,[-(2 ^ [] = 2 ^ []), 2 ^ [] = multiplication(2 ^ [], one), multiplication(2 ^ [], one) = 2 ^ []],extension(8,bind([[_10195, _10251, _10306], [2 ^ [], multiplication(2 ^ [], one), 2 ^ []]]))).
% 132.78/130.78 cnf('1.1.2.1.2.2.1.1',plain,[-(2 ^ [] = multiplication(2 ^ [], one)), multiplication(2 ^ [], one) = 2 ^ []],extension(1,bind([[_9916, _9961], [multiplication(2 ^ [], one), 2 ^ []]]))).
% 132.78/130.78 cnf('1.1.2.1.2.2.1.1.1',plain,[-(multiplication(2 ^ [], one) = 2 ^ [])],extension(7,bind([[_15598], [2 ^ []]]))).
% 132.78/130.78 cnf('1.1.2.1.2.2.1.2',plain,[-(multiplication(2 ^ [], one) = 2 ^ []), 2 ^ [] = multiplication(2 ^ [], one)],extension(1,bind([[_9916, _9961], [2 ^ [], multiplication(2 ^ [], one)]]))).
% 132.78/130.78 cnf('1.1.2.1.2.2.1.2.1',plain,[-(2 ^ [] = multiplication(2 ^ [], one))],lemmata('1.1.2.1.2.2.1')).
% 132.78/130.78 cnf('1.1.2.1.2.2.2',plain,[-(addition(c(3 ^ []), 3 ^ []) = one), complement(3 ^ [], c(3 ^ []))],extension(11,bind([[_18347, _18281], [3 ^ [], c(3 ^ [])]]))).
% 132.78/130.78 cnf('1.1.2.1.2.2.2.1',plain,[-(complement(3 ^ [], c(3 ^ []))), test(3 ^ []), c(3 ^ []) = c(3 ^ [])],extension(3,bind([[_18892, _18944], [3 ^ [], c(3 ^ [])]]))).
% 132.78/130.78 cnf('1.1.2.1.2.2.2.1.1',plain,[-(test(3 ^ []))],extension(6)).
% 132.78/130.78 cnf('1.1.2.1.2.2.2.1.2',plain,[-(c(3 ^ []) = c(3 ^ []))],extension(10,bind([[_9763], [c(3 ^ [])]]))).
% 132.78/130.78 %-----------------------------------------------------
% 132.78/130.79
% 132.78/130.79 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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