TSTP Solution File: LCL483+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : LCL483+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n016.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 12:16:07 EDT 2022
% Result : Theorem 1.11s 1.39s
% Output : Proof 1.17s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : LCL483+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : leancop_casc.sh %s %d
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jul 3 01:19:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 1.11/1.39 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.11/1.39 % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.17/1.40
% 1.17/1.40 %-----------------------------------------------------
% 1.17/1.40 fof(hilbert_modus_tollens, conjecture, modus_tollens, file('/export/starexec/sandbox/benchmark/theBenchmark.p', hilbert_modus_tollens)).
% 1.17/1.40 fof(principia_op_implies_or, axiom, op_implies_or, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax', principia_op_implies_or)).
% 1.17/1.40 fof(principia_r3, axiom, r3, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+4.ax', principia_r3)).
% 1.17/1.40 fof(hilbert_op_or, axiom, op_or, file('/export/starexec/sandbox/benchmark/theBenchmark.p', hilbert_op_or)).
% 1.17/1.40 fof(hilbert_op_implies_and, axiom, op_implies_and, file('/export/starexec/sandbox/benchmark/theBenchmark.p', hilbert_op_implies_and)).
% 1.17/1.40 fof(op_or, axiom, op_or => ! [_51013, _51016] : or(_51013, _51016) = (not and(not _51013, not _51016)), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax', op_or)).
% 1.17/1.40 fof(op_implies_and, axiom, op_implies_and => ! [_51199, _51202] : implies(_51199, _51202) = (not and(_51199, not _51202)), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax', op_implies_and)).
% 1.17/1.40 fof(op_implies_or, axiom, op_implies_or => ! [_51375, _51378] : implies(_51375, _51378) = or(not _51375, _51378), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+1.ax', op_implies_or)).
% 1.17/1.40 fof(modus_tollens, axiom, modus_tollens <=> ! [_51551, _51554] : is_a_theorem(implies(implies(not _51554, not _51551), implies(_51551, _51554))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', modus_tollens)).
% 1.17/1.40 fof(r3, axiom, r3 <=> ! [_51780, _51783] : is_a_theorem(implies(or(_51780, _51783), or(_51783, _51780))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', r3)).
% 1.17/1.40
% 1.17/1.40 cnf(1, plain, [modus_tollens], clausify(hilbert_modus_tollens)).
% 1.17/1.40 cnf(2, plain, [-(is_a_theorem(_16579)), _16530 = _16579, is_a_theorem(_16530)], theory(equality)).
% 1.17/1.40 cnf(3, plain, [-(_15632 = _15632)], theory(equality)).
% 1.17/1.40 cnf(4, plain, [_15785 = _15830, -(_15830 = _15785)], theory(equality)).
% 1.17/1.40 cnf(5, plain, [-(implies(_18122, _18255) = implies(_18189, _18320)), _18122 = _18189, _18255 = _18320], theory(equality)).
% 1.17/1.40 cnf(6, plain, [-(op_implies_or)], clausify(principia_op_implies_or)).
% 1.17/1.40 cnf(7, plain, [-(r3)], clausify(principia_r3)).
% 1.17/1.40 cnf(8, plain, [-(op_or)], clausify(hilbert_op_or)).
% 1.17/1.40 cnf(9, plain, [-(op_implies_and)], clausify(hilbert_op_implies_and)).
% 1.17/1.40 cnf(10, plain, [op_or, -(or(_30387, _30438) = (not and(not _30387, not _30438)))], clausify(op_or)).
% 1.17/1.40 cnf(11, plain, [op_implies_and, -(implies(_31201, _31250) = (not and(_31201, not _31250)))], clausify(op_implies_and)).
% 1.17/1.40 cnf(12, plain, [op_implies_or, -(implies(_31588, _31635) = or(not _31588, _31635))], clausify(op_implies_or)).
% 1.17/1.40 cnf(13, plain, [-(modus_tollens), is_a_theorem(implies(implies(not 6 ^ [], not 5 ^ []), implies(5 ^ [], 6 ^ [])))], clausify(modus_tollens)).
% 1.17/1.40 cnf(14, plain, [r3, -(is_a_theorem(implies(or(_28593, _28640), or(_28640, _28593))))], clausify(r3)).
% 1.17/1.40
% 1.17/1.40 cnf('1',plain,[modus_tollens],start(1)).
% 1.17/1.40 cnf('1.1',plain,[-(modus_tollens), is_a_theorem(implies(implies(not 6 ^ [], not 5 ^ []), implies(5 ^ [], 6 ^ [])))],extension(13)).
% 1.17/1.40 cnf('1.1.1',plain,[-(is_a_theorem(implies(implies(not 6 ^ [], not 5 ^ []), implies(5 ^ [], 6 ^ [])))), implies(not and(not 6 ^ [], not not 5 ^ []), or(not 5 ^ [], 6 ^ [])) = implies(implies(not 6 ^ [], not 5 ^ []), implies(5 ^ [], 6 ^ [])), is_a_theorem(implies(not and(not 6 ^ [], not not 5 ^ []), or(not 5 ^ [], 6 ^ [])))],extension(2,bind([[_16579, _16530], [implies(implies(not 6 ^ [], not 5 ^ []), implies(5 ^ [], 6 ^ [])), implies(not and(not 6 ^ [], not not 5 ^ []), or(not 5 ^ [], 6 ^ []))]]))).
% 1.17/1.40 cnf('1.1.1.1',plain,[-(implies(not and(not 6 ^ [], not not 5 ^ []), or(not 5 ^ [], 6 ^ [])) = implies(implies(not 6 ^ [], not 5 ^ []), implies(5 ^ [], 6 ^ []))), implies(implies(not 6 ^ [], not 5 ^ []), implies(5 ^ [], 6 ^ [])) = implies(not and(not 6 ^ [], not not 5 ^ []), or(not 5 ^ [], 6 ^ []))],extension(4,bind([[_15785, _15830], [implies(implies(not 6 ^ [], not 5 ^ []), implies(5 ^ [], 6 ^ [])), implies(not and(not 6 ^ [], not not 5 ^ []), or(not 5 ^ [], 6 ^ []))]]))).
% 1.17/1.40 cnf('1.1.1.1.1',plain,[-(implies(implies(not 6 ^ [], not 5 ^ []), implies(5 ^ [], 6 ^ [])) = implies(not and(not 6 ^ [], not not 5 ^ []), or(not 5 ^ [], 6 ^ []))), implies(not 6 ^ [], not 5 ^ []) = (not and(not 6 ^ [], not not 5 ^ [])), implies(5 ^ [], 6 ^ []) = or(not 5 ^ [], 6 ^ [])],extension(5,bind([[_18122, _18189, _18255, _18320], [implies(not 6 ^ [], not 5 ^ []), not and(not 6 ^ [], not not 5 ^ []), implies(5 ^ [], 6 ^ []), or(not 5 ^ [], 6 ^ [])]]))).
% 1.17/1.40 cnf('1.1.1.1.1.1',plain,[-(implies(not 6 ^ [], not 5 ^ []) = (not and(not 6 ^ [], not not 5 ^ []))), op_implies_and],extension(11,bind([[_31201, _31250], [not 6 ^ [], not 5 ^ []]]))).
% 1.17/1.40 cnf('1.1.1.1.1.1.1',plain,[-(op_implies_and)],extension(9)).
% 1.17/1.40 cnf('1.1.1.1.1.2',plain,[-(implies(5 ^ [], 6 ^ []) = or(not 5 ^ [], 6 ^ [])), op_implies_or],extension(12,bind([[_31588, _31635], [5 ^ [], 6 ^ []]]))).
% 1.17/1.40 cnf('1.1.1.1.1.2.1',plain,[-(op_implies_or)],extension(6)).
% 1.17/1.40 cnf('1.1.1.2',plain,[-(is_a_theorem(implies(not and(not 6 ^ [], not not 5 ^ []), or(not 5 ^ [], 6 ^ [])))), implies(or(6 ^ [], not 5 ^ []), or(not 5 ^ [], 6 ^ [])) = implies(not and(not 6 ^ [], not not 5 ^ []), or(not 5 ^ [], 6 ^ [])), is_a_theorem(implies(or(6 ^ [], not 5 ^ []), or(not 5 ^ [], 6 ^ [])))],extension(2,bind([[_16579, _16530], [implies(not and(not 6 ^ [], not not 5 ^ []), or(not 5 ^ [], 6 ^ [])), implies(or(6 ^ [], not 5 ^ []), or(not 5 ^ [], 6 ^ []))]]))).
% 1.17/1.40 cnf('1.1.1.2.1',plain,[-(implies(or(6 ^ [], not 5 ^ []), or(not 5 ^ [], 6 ^ [])) = implies(not and(not 6 ^ [], not not 5 ^ []), or(not 5 ^ [], 6 ^ []))), or(6 ^ [], not 5 ^ []) = (not and(not 6 ^ [], not not 5 ^ [])), or(not 5 ^ [], 6 ^ []) = or(not 5 ^ [], 6 ^ [])],extension(5,bind([[_18122, _18189, _18255, _18320], [or(6 ^ [], not 5 ^ []), not and(not 6 ^ [], not not 5 ^ []), or(not 5 ^ [], 6 ^ []), or(not 5 ^ [], 6 ^ [])]]))).
% 1.17/1.40 cnf('1.1.1.2.1.1',plain,[-(or(6 ^ [], not 5 ^ []) = (not and(not 6 ^ [], not not 5 ^ []))), op_or],extension(10,bind([[_30387, _30438], [6 ^ [], not 5 ^ []]]))).
% 1.17/1.40 cnf('1.1.1.2.1.1.1',plain,[-(op_or)],extension(8)).
% 1.17/1.40 cnf('1.1.1.2.1.2',plain,[-(or(not 5 ^ [], 6 ^ []) = or(not 5 ^ [], 6 ^ []))],extension(3,bind([[_15632], [or(not 5 ^ [], 6 ^ [])]]))).
% 1.17/1.40 cnf('1.1.1.2.2',plain,[-(is_a_theorem(implies(or(6 ^ [], not 5 ^ []), or(not 5 ^ [], 6 ^ [])))), r3],extension(14,bind([[_28640, _28593], [not 5 ^ [], 6 ^ []]]))).
% 1.17/1.40 cnf('1.1.1.2.2.1',plain,[-(r3)],extension(7)).
% 1.17/1.40 %-----------------------------------------------------
% 1.17/1.40
% 1.17/1.40 % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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