TSTP Solution File: KLE022+1 by leanCoP---2.2
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : KLE022+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n005.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 02:10:00 EDT 2022
% Result : Theorem 48.05s 46.87s
% Output : Proof 48.05s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KLE022+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.11/0.33 % Computer : n005.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Thu Jun 16 16:19:08 EDT 2022
% 0.11/0.33 % CPUTime :
% 48.05/46.87 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.05/46.88 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 48.05/46.89
% 48.05/46.89 %-----------------------------------------------------
% 48.05/46.89 fof(test_3, axiom, ! [_41479, _41482] : (test(_41479) => (c(_41479) = _41482 <=> complement(_41479, _41482))), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax', test_3)).
% 48.05/46.89 fof(test_2, axiom, ! [_41652, _41655] : (complement(_41655, _41652) <=> multiplication(_41652, _41655) = zero & multiplication(_41655, _41652) = zero & addition(_41652, _41655) = one), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax', test_2)).
% 48.05/46.89 fof(goals, conjecture, ! [_41914, _41917] : (test(_41917) => _41914 = addition(multiplication(_41914, _41917), multiplication(_41914, c(_41917)))), file('/export/starexec/sandbox2/benchmark/theBenchmark.p', goals)).
% 48.05/46.89 fof(additive_commutativity, axiom, ! [_42118, _42121] : addition(_42118, _42121) = addition(_42121, _42118), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', additive_commutativity)).
% 48.05/46.89 fof(multiplicative_right_identity, axiom, ! [_42268] : multiplication(_42268, one) = _42268, file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', multiplicative_right_identity)).
% 48.05/46.89 fof(right_distributivity, axiom, ! [_42388, _42391, _42394] : multiplication(_42388, addition(_42391, _42394)) = addition(multiplication(_42388, _42391), multiplication(_42388, _42394)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax', right_distributivity)).
% 48.05/46.89 fof(test_1, axiom, ! [_42598] : (test(_42598) <=> ? [_42613] : complement(_42613, _42598)), file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax', test_1)).
% 48.05/46.89
% 48.05/46.89 cnf(1, plain, [-(3 ^ [_17781, _17729]), -(c(_17729) = _17781), complement(_17729, _17781)], clausify(test_3)).
% 48.05/46.89 cnf(2, plain, [-(2 ^ [_17184, _17118]), -(addition(_17118, _17184) = one)], clausify(test_2)).
% 48.05/46.89 cnf(3, plain, [-(2 ^ [_17184, _17118]), -(multiplication(_17184, _17118) = zero)], clausify(test_2)).
% 48.05/46.89 cnf(4, plain, [-(2 ^ [_17184, _17118]), -(multiplication(_17118, _17184) = zero)], clausify(test_2)).
% 48.05/46.89 cnf(5, plain, [-(test(5 ^ []))], clausify(goals)).
% 48.05/46.89 cnf(6, plain, [4 ^ [] = addition(multiplication(4 ^ [], 5 ^ []), multiplication(4 ^ [], c(5 ^ [])))], clausify(goals)).
% 48.05/46.89 cnf(7, plain, [-(addition(_12773, _12818) = addition(_12818, _12773))], clausify(additive_commutativity)).
% 48.05/46.89 cnf(8, plain, [-(multiplication(_14445, one) = _14445)], clausify(multiplicative_right_identity)).
% 48.05/46.89 cnf(9, plain, [-(multiplication(_14873, addition(_14932, _14990)) = addition(multiplication(_14873, _14932), multiplication(_14873, _14990)))], clausify(right_distributivity)).
% 48.05/46.89 cnf(10, plain, [test(_16835), -(complement(1 ^ [_16835], _16835))], clausify(test_1)).
% 48.05/46.89 cnf(11, plain, [-(test(_16835)), complement(_16918, _16835)], clausify(test_1)).
% 48.05/46.89 cnf(12, plain, [complement(_17184, _17118), 2 ^ [_17184, _17118]], clausify(test_2)).
% 48.05/46.89 cnf(13, plain, [-(complement(_17184, _17118)), multiplication(_17118, _17184) = zero, multiplication(_17184, _17118) = zero, addition(_17118, _17184) = one], clausify(test_2)).
% 48.05/46.89 cnf(14, plain, [test(_17729), 3 ^ [_17781, _17729]], clausify(test_3)).
% 48.05/46.89 cnf(15, plain, [-(addition(_11130, _11263) = addition(_11197, _11328)), _11130 = _11197, _11263 = _11328], theory(equality)).
% 48.05/46.89 cnf(16, plain, [-(multiplication(_12073, _12206) = multiplication(_12140, _12271)), _12073 = _12140, _12206 = _12271], theory(equality)).
% 48.05/46.89 cnf(17, plain, [-(_8610 = _8610)], theory(equality)).
% 48.05/46.89 cnf(18, plain, [_8763 = _8808, -(_8808 = _8763)], theory(equality)).
% 48.05/46.89 cnf(19, plain, [-(_9042 = _9153), _9042 = _9098, _9098 = _9153], theory(equality)).
% 48.05/46.89 cnf(20, plain, [-(complement(_9585, _9716)), complement(_9518, _9651), _9518 = _9585, _9651 = _9716], theory(equality)).
% 48.05/46.89
% 48.05/46.89 cnf('1',plain,[-(test(5 ^ []))],start(5)).
% 48.05/46.89 cnf('1.1',plain,[test(5 ^ []), -(complement(1 ^ [5 ^ []], 5 ^ []))],extension(10,bind([[_16835], [5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1',plain,[complement(1 ^ [5 ^ []], 5 ^ []), -(3 ^ [5 ^ [], 1 ^ [5 ^ []]]), -(c(1 ^ [5 ^ []]) = 5 ^ [])],extension(1,bind([[_17729, _17781], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.1',plain,[3 ^ [5 ^ [], 1 ^ [5 ^ []]], test(1 ^ [5 ^ []])],extension(14,bind([[_17781, _17729], [5 ^ [], 1 ^ [5 ^ []]]]))).
% 48.05/46.89 cnf('1.1.1.1.1',plain,[-(test(1 ^ [5 ^ []])), complement(5 ^ [], 1 ^ [5 ^ []])],extension(11,bind([[_16918, _16835], [5 ^ [], 1 ^ [5 ^ []]]]))).
% 48.05/46.89 cnf('1.1.1.1.1.1',plain,[-(complement(5 ^ [], 1 ^ [5 ^ []])), multiplication(1 ^ [5 ^ []], 5 ^ []) = zero, multiplication(5 ^ [], 1 ^ [5 ^ []]) = zero, addition(1 ^ [5 ^ []], 5 ^ []) = one],extension(13,bind([[_17118, _17184], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.1.1.1.1',plain,[-(multiplication(1 ^ [5 ^ []], 5 ^ []) = zero), -(2 ^ [1 ^ [5 ^ []], 5 ^ []])],extension(3,bind([[_17184, _17118], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.1.1.1.1.1',plain,[2 ^ [1 ^ [5 ^ []], 5 ^ []], complement(1 ^ [5 ^ []], 5 ^ [])],extension(12,bind([[_17184, _17118], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.1.1.1.1.1.1',plain,[-(complement(1 ^ [5 ^ []], 5 ^ []))],reduction('1.1')).
% 48.05/46.89 cnf('1.1.1.1.1.1.2',plain,[-(multiplication(5 ^ [], 1 ^ [5 ^ []]) = zero), -(2 ^ [1 ^ [5 ^ []], 5 ^ []])],extension(4,bind([[_17184, _17118], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.1.1.1.2.1',plain,[2 ^ [1 ^ [5 ^ []], 5 ^ []], complement(1 ^ [5 ^ []], 5 ^ [])],extension(12,bind([[_17184, _17118], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.1.1.1.2.1.1',plain,[-(complement(1 ^ [5 ^ []], 5 ^ []))],reduction('1.1')).
% 48.05/46.89 cnf('1.1.1.1.1.1.3',plain,[-(addition(1 ^ [5 ^ []], 5 ^ []) = one), addition(1 ^ [5 ^ []], 5 ^ []) = addition(5 ^ [], 1 ^ [5 ^ []]), addition(5 ^ [], 1 ^ [5 ^ []]) = one],extension(19,bind([[_9042, _9098, _9153], [addition(1 ^ [5 ^ []], 5 ^ []), addition(5 ^ [], 1 ^ [5 ^ []]), one]]))).
% 48.05/46.89 cnf('1.1.1.1.1.1.3.1',plain,[-(addition(1 ^ [5 ^ []], 5 ^ []) = addition(5 ^ [], 1 ^ [5 ^ []]))],extension(7,bind([[_12818, _12773], [5 ^ [], 1 ^ [5 ^ []]]]))).
% 48.05/46.89 cnf('1.1.1.1.1.1.3.2',plain,[-(addition(5 ^ [], 1 ^ [5 ^ []]) = one), -(2 ^ [1 ^ [5 ^ []], 5 ^ []])],extension(2,bind([[_17184, _17118], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.1.1.1.3.2.1',plain,[2 ^ [1 ^ [5 ^ []], 5 ^ []], complement(1 ^ [5 ^ []], 5 ^ [])],extension(12,bind([[_17184, _17118], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.1.1.1.3.2.1.1',plain,[-(complement(1 ^ [5 ^ []], 5 ^ []))],reduction('1.1')).
% 48.05/46.89 cnf('1.1.1.2',plain,[c(1 ^ [5 ^ []]) = 5 ^ [], -(addition(c(1 ^ [5 ^ []]), 1 ^ [5 ^ []]) = addition(5 ^ [], c(5 ^ []))), 1 ^ [5 ^ []] = c(5 ^ [])],extension(15,bind([[_11130, _11197, _11263, _11328], [c(1 ^ [5 ^ []]), 5 ^ [], 1 ^ [5 ^ []], c(5 ^ [])]]))).
% 48.05/46.89 cnf('1.1.1.2.1',plain,[addition(c(1 ^ [5 ^ []]), 1 ^ [5 ^ []]) = addition(5 ^ [], c(5 ^ [])), -(one = addition(5 ^ [], c(5 ^ []))), one = addition(c(1 ^ [5 ^ []]), 1 ^ [5 ^ []])],extension(19,bind([[_9153, _9042, _9098], [addition(5 ^ [], c(5 ^ [])), one, addition(c(1 ^ [5 ^ []]), 1 ^ [5 ^ []])]]))).
% 48.05/46.89 cnf('1.1.1.2.1.1',plain,[one = addition(5 ^ [], c(5 ^ [])), -(multiplication(4 ^ [], one) = multiplication(4 ^ [], addition(5 ^ [], c(5 ^ [])))), 4 ^ [] = 4 ^ []],extension(16,bind([[_12206, _12271, _12073, _12140], [one, addition(5 ^ [], c(5 ^ [])), 4 ^ [], 4 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.2.1.1.1',plain,[multiplication(4 ^ [], one) = multiplication(4 ^ [], addition(5 ^ [], c(5 ^ []))), -(4 ^ [] = multiplication(4 ^ [], addition(5 ^ [], c(5 ^ [])))), 4 ^ [] = multiplication(4 ^ [], one)],extension(19,bind([[_9153, _9042, _9098], [multiplication(4 ^ [], addition(5 ^ [], c(5 ^ []))), 4 ^ [], multiplication(4 ^ [], one)]]))).
% 48.05/46.89 cnf('1.1.1.2.1.1.1.1',plain,[4 ^ [] = multiplication(4 ^ [], addition(5 ^ [], c(5 ^ []))), -(4 ^ [] = addition(multiplication(4 ^ [], 5 ^ []), multiplication(4 ^ [], c(5 ^ [])))), multiplication(4 ^ [], addition(5 ^ [], c(5 ^ []))) = addition(multiplication(4 ^ [], 5 ^ []), multiplication(4 ^ [], c(5 ^ [])))],extension(19,bind([[_9042, _9098, _9153], [4 ^ [], multiplication(4 ^ [], addition(5 ^ [], c(5 ^ []))), addition(multiplication(4 ^ [], 5 ^ []), multiplication(4 ^ [], c(5 ^ [])))]]))).
% 48.05/46.89 cnf('1.1.1.2.1.1.1.1.1',plain,[4 ^ [] = addition(multiplication(4 ^ [], 5 ^ []), multiplication(4 ^ [], c(5 ^ [])))],extension(6)).
% 48.05/46.89 cnf('1.1.1.2.1.1.1.1.2',plain,[-(multiplication(4 ^ [], addition(5 ^ [], c(5 ^ []))) = addition(multiplication(4 ^ [], 5 ^ []), multiplication(4 ^ [], c(5 ^ []))))],extension(9,bind([[_14932, _14873, _14990], [5 ^ [], 4 ^ [], c(5 ^ [])]]))).
% 48.05/46.89 cnf('1.1.1.2.1.1.1.2',plain,[-(4 ^ [] = multiplication(4 ^ [], one)), multiplication(4 ^ [], one) = 4 ^ []],extension(18,bind([[_8763, _8808], [multiplication(4 ^ [], one), 4 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.2.1.1.1.2.1',plain,[-(multiplication(4 ^ [], one) = 4 ^ [])],extension(8,bind([[_14445], [4 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.2.1.1.2',plain,[-(4 ^ [] = 4 ^ [])],extension(17,bind([[_8610], [4 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.2.1.2',plain,[-(one = addition(c(1 ^ [5 ^ []]), 1 ^ [5 ^ []])), addition(c(1 ^ [5 ^ []]), 1 ^ [5 ^ []]) = one],extension(18,bind([[_8763, _8808], [addition(c(1 ^ [5 ^ []]), 1 ^ [5 ^ []]), one]]))).
% 48.05/46.89 cnf('1.1.1.2.1.2.1',plain,[-(addition(c(1 ^ [5 ^ []]), 1 ^ [5 ^ []]) = one), -(2 ^ [1 ^ [5 ^ []], c(1 ^ [5 ^ []])])],extension(2,bind([[_17184, _17118], [1 ^ [5 ^ []], c(1 ^ [5 ^ []])]]))).
% 48.05/46.89 cnf('1.1.1.2.1.2.1.1',plain,[2 ^ [1 ^ [5 ^ []], c(1 ^ [5 ^ []])], complement(1 ^ [5 ^ []], c(1 ^ [5 ^ []]))],extension(12,bind([[_17184, _17118], [1 ^ [5 ^ []], c(1 ^ [5 ^ []])]]))).
% 48.05/46.89 cnf('1.1.1.2.1.2.1.1.1',plain,[-(complement(1 ^ [5 ^ []], c(1 ^ [5 ^ []]))), complement(1 ^ [5 ^ []], 5 ^ []), 1 ^ [5 ^ []] = 1 ^ [5 ^ []], 5 ^ [] = c(1 ^ [5 ^ []])],extension(20,bind([[_9518, _9585, _9651, _9716], [1 ^ [5 ^ []], 1 ^ [5 ^ []], 5 ^ [], c(1 ^ [5 ^ []])]]))).
% 48.05/46.89 cnf('1.1.1.2.1.2.1.1.1.1',plain,[-(complement(1 ^ [5 ^ []], 5 ^ []))],reduction('1.1')).
% 48.05/46.89 cnf('1.1.1.2.1.2.1.1.1.2',plain,[-(1 ^ [5 ^ []] = 1 ^ [5 ^ []])],extension(17,bind([[_8610], [1 ^ [5 ^ []]]]))).
% 48.05/46.89 cnf('1.1.1.2.1.2.1.1.1.3',plain,[-(5 ^ [] = c(1 ^ [5 ^ []])), c(1 ^ [5 ^ []]) = 5 ^ []],extension(18,bind([[_8763, _8808], [c(1 ^ [5 ^ []]), 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.2.1.2.1.1.1.3.1',plain,[-(c(1 ^ [5 ^ []]) = 5 ^ [])],reduction('1.1.1')).
% 48.05/46.89 cnf('1.1.1.2.2',plain,[-(1 ^ [5 ^ []] = c(5 ^ [])), c(5 ^ []) = 1 ^ [5 ^ []]],extension(18,bind([[_8763, _8808], [c(5 ^ []), 1 ^ [5 ^ []]]]))).
% 48.05/46.89 cnf('1.1.1.2.2.1',plain,[-(c(5 ^ []) = 1 ^ [5 ^ []]), -(3 ^ [1 ^ [5 ^ []], 5 ^ []]), complement(5 ^ [], 1 ^ [5 ^ []])],extension(1,bind([[_17729, _17781], [5 ^ [], 1 ^ [5 ^ []]]]))).
% 48.05/46.89 cnf('1.1.1.2.2.1.1',plain,[3 ^ [1 ^ [5 ^ []], 5 ^ []], test(5 ^ [])],extension(14,bind([[_17781, _17729], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.2.2.1.1.1',plain,[-(test(5 ^ []))],extension(5)).
% 48.05/46.89 cnf('1.1.1.2.2.1.2',plain,[-(complement(5 ^ [], 1 ^ [5 ^ []])), multiplication(1 ^ [5 ^ []], 5 ^ []) = zero, multiplication(5 ^ [], 1 ^ [5 ^ []]) = zero, addition(1 ^ [5 ^ []], 5 ^ []) = one],extension(13,bind([[_17118, _17184], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.2.2.1.2.1',plain,[-(multiplication(1 ^ [5 ^ []], 5 ^ []) = zero), -(2 ^ [1 ^ [5 ^ []], 5 ^ []])],extension(3,bind([[_17184, _17118], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.2.2.1.2.1.1',plain,[2 ^ [1 ^ [5 ^ []], 5 ^ []], complement(1 ^ [5 ^ []], 5 ^ [])],extension(12,bind([[_17184, _17118], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.2.2.1.2.1.1.1',plain,[-(complement(1 ^ [5 ^ []], 5 ^ []))],reduction('1.1')).
% 48.05/46.89 cnf('1.1.1.2.2.1.2.2',plain,[-(multiplication(5 ^ [], 1 ^ [5 ^ []]) = zero), -(2 ^ [1 ^ [5 ^ []], 5 ^ []])],extension(4,bind([[_17184, _17118], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.2.2.1.2.2.1',plain,[2 ^ [1 ^ [5 ^ []], 5 ^ []], complement(1 ^ [5 ^ []], 5 ^ [])],extension(12,bind([[_17184, _17118], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.2.2.1.2.2.1.1',plain,[-(complement(1 ^ [5 ^ []], 5 ^ []))],reduction('1.1')).
% 48.05/46.89 cnf('1.1.1.2.2.1.2.3',plain,[-(addition(1 ^ [5 ^ []], 5 ^ []) = one), addition(1 ^ [5 ^ []], 5 ^ []) = addition(5 ^ [], 1 ^ [5 ^ []]), addition(5 ^ [], 1 ^ [5 ^ []]) = one],extension(19,bind([[_9042, _9098, _9153], [addition(1 ^ [5 ^ []], 5 ^ []), addition(5 ^ [], 1 ^ [5 ^ []]), one]]))).
% 48.05/46.89 cnf('1.1.1.2.2.1.2.3.1',plain,[-(addition(1 ^ [5 ^ []], 5 ^ []) = addition(5 ^ [], 1 ^ [5 ^ []]))],extension(7,bind([[_12818, _12773], [5 ^ [], 1 ^ [5 ^ []]]]))).
% 48.05/46.89 cnf('1.1.1.2.2.1.2.3.2',plain,[-(addition(5 ^ [], 1 ^ [5 ^ []]) = one), -(2 ^ [1 ^ [5 ^ []], 5 ^ []])],extension(2,bind([[_17184, _17118], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.2.2.1.2.3.2.1',plain,[2 ^ [1 ^ [5 ^ []], 5 ^ []], complement(1 ^ [5 ^ []], 5 ^ [])],extension(12,bind([[_17184, _17118], [1 ^ [5 ^ []], 5 ^ []]]))).
% 48.05/46.89 cnf('1.1.1.2.2.1.2.3.2.1.1',plain,[-(complement(1 ^ [5 ^ []], 5 ^ []))],reduction('1.1')).
% 48.05/46.89 %-----------------------------------------------------
% 48.05/46.89
% 48.05/46.89 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
%------------------------------------------------------------------------------