TSTP Solution File: KLE002+1 by leanCoP---2.2
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- Process Solution
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% File : leanCoP---2.2
% Problem : KLE002+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n029.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 02:09:53 EDT 2022
% Result : Theorem 0.33s 1.40s
% Output : Proof 0.33s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE002+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : leancop_casc.sh %s %d
% 0.12/0.34 % Computer : n029.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 : 600
% 0.12/0.34 % DateTime : Thu Jun 16 13:19:12 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.33/1.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.41 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.33/1.42
% 0.33/1.42 %-----------------------------------------------------
% 0.33/1.42 fof(goals, conjecture, ! [_19761, _19764, _19767] : (leq(_19761, _19764) => leq(multiplication(_19761, _19767), multiplication(_19764, _19767))), file('/export/starexec/sandbox/benchmark/theBenchmark.p', goals)).
% 0.33/1.42 fof(left_distributivity, axiom, ! [_19969, _19972, _19975] : multiplication(addition(_19969, _19972), _19975) = addition(multiplication(_19969, _19975), multiplication(_19972, _19975)), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax', left_distributivity)).
% 0.33/1.42 fof(order, axiom, ! [_20176, _20179] : (leq(_20176, _20179) <=> addition(_20176, _20179) = _20179), file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax', order)).
% 0.33/1.42
% 0.33/1.42 cnf(1, plain, [-(leq(1 ^ [], 2 ^ []))], clausify(goals)).
% 0.33/1.42 cnf(2, plain, [leq(multiplication(1 ^ [], 3 ^ []), multiplication(2 ^ [], 3 ^ []))], clausify(goals)).
% 0.33/1.42 cnf(3, plain, [-(multiplication(addition(_12157, _12216), _12274) = addition(multiplication(_12157, _12274), multiplication(_12216, _12274)))], clausify(left_distributivity)).
% 0.33/1.42 cnf(4, plain, [leq(_13088, _13136), -(addition(_13088, _13136) = _13136)], clausify(order)).
% 0.33/1.42 cnf(5, plain, [-(leq(_13088, _13136)), addition(_13088, _13136) = _13136], clausify(order)).
% 0.33/1.42 cnf(6, plain, [-(multiplication(_8869, _9002) = multiplication(_8936, _9067)), _8869 = _8936, _9002 = _9067], theory(equality)).
% 0.33/1.42 cnf(7, plain, [-(_6718 = _6718)], theory(equality)).
% 0.33/1.42 cnf(8, plain, [_6871 = _6916, -(_6916 = _6871)], theory(equality)).
% 0.33/1.42 cnf(9, plain, [-(_7150 = _7261), _7150 = _7206, _7206 = _7261], theory(equality)).
% 0.33/1.42
% 0.33/1.42 cnf('1',plain,[leq(multiplication(1 ^ [], 3 ^ []), multiplication(2 ^ [], 3 ^ []))],start(2)).
% 0.33/1.42 cnf('1.1',plain,[-(leq(multiplication(1 ^ [], 3 ^ []), multiplication(2 ^ [], 3 ^ []))), addition(multiplication(1 ^ [], 3 ^ []), multiplication(2 ^ [], 3 ^ [])) = multiplication(2 ^ [], 3 ^ [])],extension(5,bind([[_13088, _13136], [multiplication(1 ^ [], 3 ^ []), multiplication(2 ^ [], 3 ^ [])]]))).
% 0.33/1.42 cnf('1.1.1',plain,[-(addition(multiplication(1 ^ [], 3 ^ []), multiplication(2 ^ [], 3 ^ [])) = multiplication(2 ^ [], 3 ^ [])), addition(multiplication(1 ^ [], 3 ^ []), multiplication(2 ^ [], 3 ^ [])) = multiplication(addition(1 ^ [], 2 ^ []), 3 ^ []), multiplication(addition(1 ^ [], 2 ^ []), 3 ^ []) = multiplication(2 ^ [], 3 ^ [])],extension(9,bind([[_7150, _7206, _7261], [addition(multiplication(1 ^ [], 3 ^ []), multiplication(2 ^ [], 3 ^ [])), multiplication(addition(1 ^ [], 2 ^ []), 3 ^ []), multiplication(2 ^ [], 3 ^ [])]]))).
% 0.33/1.42 cnf('1.1.1.1',plain,[-(addition(multiplication(1 ^ [], 3 ^ []), multiplication(2 ^ [], 3 ^ [])) = multiplication(addition(1 ^ [], 2 ^ []), 3 ^ [])), multiplication(addition(1 ^ [], 2 ^ []), 3 ^ []) = addition(multiplication(1 ^ [], 3 ^ []), multiplication(2 ^ [], 3 ^ []))],extension(8,bind([[_6871, _6916], [multiplication(addition(1 ^ [], 2 ^ []), 3 ^ []), addition(multiplication(1 ^ [], 3 ^ []), multiplication(2 ^ [], 3 ^ []))]]))).
% 0.33/1.42 cnf('1.1.1.1.1',plain,[-(multiplication(addition(1 ^ [], 2 ^ []), 3 ^ []) = addition(multiplication(1 ^ [], 3 ^ []), multiplication(2 ^ [], 3 ^ [])))],extension(3,bind([[_12157, _12216, _12274], [1 ^ [], 2 ^ [], 3 ^ []]]))).
% 0.33/1.42 cnf('1.1.1.2',plain,[-(multiplication(addition(1 ^ [], 2 ^ []), 3 ^ []) = multiplication(2 ^ [], 3 ^ [])), addition(1 ^ [], 2 ^ []) = 2 ^ [], 3 ^ [] = 3 ^ []],extension(6,bind([[_8869, _8936, _9002, _9067], [addition(1 ^ [], 2 ^ []), 2 ^ [], 3 ^ [], 3 ^ []]]))).
% 0.33/1.42 cnf('1.1.1.2.1',plain,[-(addition(1 ^ [], 2 ^ []) = 2 ^ []), leq(1 ^ [], 2 ^ [])],extension(4,bind([[_13088, _13136], [1 ^ [], 2 ^ []]]))).
% 0.33/1.42 cnf('1.1.1.2.1.1',plain,[-(leq(1 ^ [], 2 ^ []))],extension(1)).
% 0.33/1.42 cnf('1.1.1.2.2',plain,[-(3 ^ [] = 3 ^ [])],extension(7,bind([[_6718], [3 ^ []]]))).
% 0.33/1.42 %-----------------------------------------------------
% 0.33/1.42
% 0.33/1.42 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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