TSTP Solution File: KLE021+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : KLE021+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% 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 : 600s
% DateTime : Sun Jul 17 02:09:59 EDT 2022
% Result : Theorem 105.32s 102.70s
% Output : Proof 105.32s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE021+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 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 : 600
% 0.12/0.33 % DateTime : Thu Jun 16 15:17:52 EDT 2022
% 0.12/0.33 % CPUTime :
% 105.32/102.70 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 105.32/102.71 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 105.32/102.71
% 105.32/102.71 %-----------------------------------------------------
% 105.32/102.71 fof(test_3, axiom, ! [_31155, _31158] : (test(_31155) => (c(_31155) = _31158 <=> complement(_31155, _31158))), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax', test_3)).
% 105.32/102.71 fof(test_2, axiom, ! [_31327, _31330] : (complement(_31330, _31327) <=> multiplication(_31327, _31330) = zero & multiplication(_31330, _31327) = zero & addition(_31327, _31330) = one), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax', test_2)).
% 105.32/102.71 fof(goals, conjecture, ! [_31567, _31570] : (test(_31570) => _31567 = addition(multiplication(_31570, _31567), multiplication(c(_31570), _31567))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goals)).
% 105.32/102.71 fof(additive_commutativity, axiom, ! [_31771, _31774] : addition(_31771, _31774) = addition(_31774, _31771), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', additive_commutativity)).
% 105.32/102.71 fof(multiplicative_left_identity, axiom, ! [_31922] : multiplication(one, _31922) = _31922, file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', multiplicative_left_identity)).
% 105.32/102.71 fof(left_distributivity, axiom, ! [_32042, _32045, _32048] : multiplication(addition(_32042, _32045), _32048) = addition(multiplication(_32042, _32048), multiplication(_32045, _32048)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', left_distributivity)).
% 105.32/102.71
% 105.32/102.71 cnf(1, plain, [-(3 ^ [_17771, _17719]), c(_17719) = _17771, -(complement(_17719, _17771))], clausify(test_3)).
% 105.32/102.71 cnf(2, plain, [-(2 ^ [_17174, _17108]), -(addition(_17108, _17174) = one)], clausify(test_2)).
% 105.32/102.71 cnf(3, plain, [-(test(5 ^ []))], clausify(goals)).
% 105.32/102.71 cnf(4, plain, [4 ^ [] = addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ []))], clausify(goals)).
% 105.32/102.71 cnf(5, plain, [-(addition(_12763, _12808) = addition(_12808, _12763))], clausify(additive_commutativity)).
% 105.32/102.71 cnf(6, plain, [-(multiplication(one, _14649) = _14649)], clausify(multiplicative_left_identity)).
% 105.32/102.71 cnf(7, plain, [-(multiplication(addition(_15376, _15435), _15493) = addition(multiplication(_15376, _15493), multiplication(_15435, _15493)))], clausify(left_distributivity)).
% 105.32/102.71 cnf(8, plain, [complement(_17174, _17108), 2 ^ [_17174, _17108]], clausify(test_2)).
% 105.32/102.71 cnf(9, plain, [test(_17719), 3 ^ [_17771, _17719]], clausify(test_3)).
% 105.32/102.71 cnf(10, plain, [_11744 = _11793, -(c(_11744) = c(_11793))], theory(equality)).
% 105.32/102.71 cnf(11, plain, [-(multiplication(_12063, _12196) = multiplication(_12130, _12261)), _12063 = _12130, _12196 = _12261], theory(equality)).
% 105.32/102.71 cnf(12, plain, [-(_8600 = _8600)], theory(equality)).
% 105.32/102.71 cnf(13, plain, [_8753 = _8798, -(_8798 = _8753)], theory(equality)).
% 105.32/102.71 cnf(14, plain, [-(_9032 = _9143), _9032 = _9088, _9088 = _9143], theory(equality)).
% 105.32/102.71
% 105.32/102.71 cnf('1',plain,[complement(5 ^ [], c(5 ^ [])), 2 ^ [5 ^ [], c(5 ^ [])]],start(8,bind([[_17174, _17108], [5 ^ [], c(5 ^ [])]]))).
% 105.32/102.71 cnf('1.1',plain,[-(complement(5 ^ [], c(5 ^ []))), -(3 ^ [c(5 ^ []), 5 ^ []]), c(5 ^ []) = c(5 ^ [])],extension(1,bind([[_17719, _17771], [5 ^ [], c(5 ^ [])]]))).
% 105.32/102.71 cnf('1.1.1',plain,[3 ^ [c(5 ^ []), 5 ^ []], test(5 ^ [])],extension(9,bind([[_17771, _17719], [c(5 ^ []), 5 ^ []]]))).
% 105.32/102.71 cnf('1.1.1.1',plain,[-(test(5 ^ []))],extension(3)).
% 105.32/102.71 cnf('1.1.2',plain,[-(c(5 ^ []) = c(5 ^ [])), 5 ^ [] = 5 ^ []],extension(10,bind([[_11744, _11793], [5 ^ [], 5 ^ []]]))).
% 105.32/102.71 cnf('1.1.2.1',plain,[-(5 ^ [] = 5 ^ [])],extension(12,bind([[_8600], [5 ^ []]]))).
% 105.32/102.71 cnf('1.2',plain,[-(2 ^ [5 ^ [], c(5 ^ [])]), -(addition(c(5 ^ []), 5 ^ []) = one)],extension(2,bind([[_17108, _17174], [c(5 ^ []), 5 ^ []]]))).
% 105.32/102.71 cnf('1.2.1',plain,[addition(c(5 ^ []), 5 ^ []) = one, -(multiplication(addition(c(5 ^ []), 5 ^ []), 4 ^ []) = multiplication(one, 4 ^ [])), 4 ^ [] = 4 ^ []],extension(11,bind([[_12063, _12130, _12196, _12261], [addition(c(5 ^ []), 5 ^ []), one, 4 ^ [], 4 ^ []]]))).
% 105.32/102.71 cnf('1.2.1.1',plain,[multiplication(addition(c(5 ^ []), 5 ^ []), 4 ^ []) = multiplication(one, 4 ^ []), -(addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])) = multiplication(one, 4 ^ [])), addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])) = multiplication(addition(c(5 ^ []), 5 ^ []), 4 ^ [])],extension(14,bind([[_9143, _9032, _9088], [multiplication(one, 4 ^ []), addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])), multiplication(addition(c(5 ^ []), 5 ^ []), 4 ^ [])]]))).
% 105.32/102.71 cnf('1.2.1.1.1',plain,[addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])) = multiplication(one, 4 ^ []), -(multiplication(one, 4 ^ []) = addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])))],extension(13,bind([[_8798, _8753], [multiplication(one, 4 ^ []), addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ []))]]))).
% 105.32/102.71 cnf('1.2.1.1.1.1',plain,[multiplication(one, 4 ^ []) = addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])), -(multiplication(one, 4 ^ []) = 4 ^ []), addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])) = 4 ^ []],extension(14,bind([[_9032, _9088, _9143], [multiplication(one, 4 ^ []), addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])), 4 ^ []]]))).
% 105.32/102.71 cnf('1.2.1.1.1.1.1',plain,[multiplication(one, 4 ^ []) = 4 ^ [], -(4 ^ [] = multiplication(one, 4 ^ []))],extension(13,bind([[_8798, _8753], [4 ^ [], multiplication(one, 4 ^ [])]]))).
% 105.32/102.71 cnf('1.2.1.1.1.1.1.1',plain,[4 ^ [] = multiplication(one, 4 ^ []), -(4 ^ [] = addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ []))), multiplication(one, 4 ^ []) = addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ []))],extension(14,bind([[_9032, _9088, _9143], [4 ^ [], multiplication(one, 4 ^ []), addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ []))]]))).
% 105.32/102.71 cnf('1.2.1.1.1.1.1.1.1',plain,[4 ^ [] = addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ []))],extension(4)).
% 105.32/102.71 cnf('1.2.1.1.1.1.1.1.2',plain,[-(multiplication(one, 4 ^ []) = addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])))],reduction('1.2.1.1.1')).
% 105.32/102.71 cnf('1.2.1.1.1.1.2',plain,[-(addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])) = 4 ^ []), addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])) = multiplication(one, 4 ^ []), multiplication(one, 4 ^ []) = 4 ^ []],extension(14,bind([[_9032, _9088, _9143], [addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])), multiplication(one, 4 ^ []), 4 ^ []]]))).
% 105.32/102.71 cnf('1.2.1.1.1.1.2.1',plain,[-(addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])) = multiplication(one, 4 ^ []))],reduction('1.2.1.1')).
% 105.32/102.71 cnf('1.2.1.1.1.1.2.2',plain,[-(multiplication(one, 4 ^ []) = 4 ^ [])],extension(6,bind([[_14649], [4 ^ []]]))).
% 105.32/102.71 cnf('1.2.1.1.2',plain,[-(addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])) = multiplication(addition(c(5 ^ []), 5 ^ []), 4 ^ [])), addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])) = addition(multiplication(c(5 ^ []), 4 ^ []), multiplication(5 ^ [], 4 ^ [])), addition(multiplication(c(5 ^ []), 4 ^ []), multiplication(5 ^ [], 4 ^ [])) = multiplication(addition(c(5 ^ []), 5 ^ []), 4 ^ [])],extension(14,bind([[_9032, _9088, _9143], [addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])), addition(multiplication(c(5 ^ []), 4 ^ []), multiplication(5 ^ [], 4 ^ [])), multiplication(addition(c(5 ^ []), 5 ^ []), 4 ^ [])]]))).
% 105.32/102.71 cnf('1.2.1.1.2.1',plain,[-(addition(multiplication(5 ^ [], 4 ^ []), multiplication(c(5 ^ []), 4 ^ [])) = addition(multiplication(c(5 ^ []), 4 ^ []), multiplication(5 ^ [], 4 ^ [])))],extension(5,bind([[_12808, _12763], [multiplication(c(5 ^ []), 4 ^ []), multiplication(5 ^ [], 4 ^ [])]]))).
% 105.32/102.71 cnf('1.2.1.1.2.2',plain,[-(addition(multiplication(c(5 ^ []), 4 ^ []), multiplication(5 ^ [], 4 ^ [])) = multiplication(addition(c(5 ^ []), 5 ^ []), 4 ^ [])), multiplication(addition(c(5 ^ []), 5 ^ []), 4 ^ []) = addition(multiplication(c(5 ^ []), 4 ^ []), multiplication(5 ^ [], 4 ^ []))],extension(13,bind([[_8753, _8798], [multiplication(addition(c(5 ^ []), 5 ^ []), 4 ^ []), addition(multiplication(c(5 ^ []), 4 ^ []), multiplication(5 ^ [], 4 ^ []))]]))).
% 105.32/102.71 cnf('1.2.1.1.2.2.1',plain,[-(multiplication(addition(c(5 ^ []), 5 ^ []), 4 ^ []) = addition(multiplication(c(5 ^ []), 4 ^ []), multiplication(5 ^ [], 4 ^ [])))],extension(7,bind([[_15376, _15435, _15493], [c(5 ^ []), 5 ^ [], 4 ^ []]]))).
% 105.32/102.71 cnf('1.2.1.2',plain,[-(4 ^ [] = 4 ^ [])],extension(12,bind([[_8600], [4 ^ []]]))).
% 105.32/102.71 %-----------------------------------------------------
% 105.32/102.72
% 105.32/102.72 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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