TSTP Solution File: LCL456+1 by leanCoP---2.2
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- Process Solution
%------------------------------------------------------------------------------
% File : leanCoP---2.2
% Problem : LCL456+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : leancop_casc.sh %s %d
% Computer : n026.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 12:15:59 EDT 2022
% Result : Theorem 1.50s 2.46s
% Output : Proof 1.50s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LCL456+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : leancop_casc.sh %s %d
% 0.13/0.34 % Computer : n026.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 : Sun Jul 3 19:29:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 1.50/2.46 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.50/2.46 % SZS output start Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.50/2.47
% 1.50/2.47 %-----------------------------------------------------
% 1.50/2.47 fof(principia_r3, conjecture, r3, file('/export/starexec/sandbox2/benchmark/theBenchmark.p', principia_r3)).
% 1.50/2.47 fof(hilbert_modus_ponens, axiom, modus_ponens, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax', hilbert_modus_ponens)).
% 1.50/2.47 fof(hilbert_or_1, axiom, or_1, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax', hilbert_or_1)).
% 1.50/2.47 fof(hilbert_or_2, axiom, or_2, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax', hilbert_or_2)).
% 1.50/2.47 fof(hilbert_or_3, axiom, or_3, file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+2.ax', hilbert_or_3)).
% 1.50/2.47 fof(modus_ponens, axiom, modus_ponens <=> ! [_51279, _51282] : (is_a_theorem(_51279) & is_a_theorem(implies(_51279, _51282)) => is_a_theorem(_51282)), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', modus_ponens)).
% 1.50/2.47 fof(or_1, axiom, or_1 <=> ! [_51477, _51480] : is_a_theorem(implies(_51477, or(_51477, _51480))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', or_1)).
% 1.50/2.47 fof(or_2, axiom, or_2 <=> ! [_51633, _51636] : is_a_theorem(implies(_51636, or(_51633, _51636))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', or_2)).
% 1.50/2.47 fof(or_3, axiom, or_3 <=> ! [_51789, _51792, _51795] : is_a_theorem(implies(implies(_51789, _51795), implies(implies(_51792, _51795), implies(or(_51789, _51792), _51795)))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', or_3)).
% 1.50/2.47 fof(r3, axiom, r3 <=> ! [_52043, _52046] : is_a_theorem(implies(or(_52043, _52046), or(_52046, _52043))), file('/export/starexec/sandbox2/benchmark/Axioms/LCL006+0.ax', r3)).
% 1.50/2.47
% 1.50/2.47 cnf(1, plain, [r3], clausify(principia_r3)).
% 1.50/2.47 cnf(2, plain, [-(modus_ponens)], clausify(hilbert_modus_ponens)).
% 1.50/2.47 cnf(3, plain, [-(or_1)], clausify(hilbert_or_1)).
% 1.50/2.47 cnf(4, plain, [-(or_2)], clausify(hilbert_or_2)).
% 1.50/2.47 cnf(5, plain, [-(or_3)], clausify(hilbert_or_3)).
% 1.50/2.47 cnf(6, plain, [modus_ponens, -(is_a_theorem(_20388)), is_a_theorem(_20337), is_a_theorem(implies(_20337, _20388))], clausify(modus_ponens)).
% 1.50/2.47 cnf(7, plain, [or_1, -(is_a_theorem(implies(_23793, or(_23793, _23837))))], clausify(or_1)).
% 1.50/2.47 cnf(8, plain, [or_2, -(is_a_theorem(implies(_24161, or(_24117, _24161))))], clausify(or_2)).
% 1.50/2.47 cnf(9, plain, [or_3, -(is_a_theorem(implies(implies(_24441, _24562), implies(implies(_24502, _24562), implies(or(_24441, _24502), _24562)))))], clausify(or_3)).
% 1.50/2.47 cnf(10, plain, [-(r3), is_a_theorem(implies(or(48 ^ [], 49 ^ []), or(49 ^ [], 48 ^ [])))], clausify(r3)).
% 1.50/2.47
% 1.50/2.47 cnf('1',plain,[r3],start(1)).
% 1.50/2.47 cnf('1.1',plain,[-(r3), is_a_theorem(implies(or(48 ^ [], 49 ^ []), or(49 ^ [], 48 ^ [])))],extension(10)).
% 1.50/2.47 cnf('1.1.1',plain,[-(is_a_theorem(implies(or(48 ^ [], 49 ^ []), or(49 ^ [], 48 ^ [])))), modus_ponens, is_a_theorem(implies(49 ^ [], or(49 ^ [], 48 ^ []))), is_a_theorem(implies(implies(49 ^ [], or(49 ^ [], 48 ^ [])), implies(or(48 ^ [], 49 ^ []), or(49 ^ [], 48 ^ []))))],extension(6,bind([[_20337, _20388], [implies(49 ^ [], or(49 ^ [], 48 ^ [])), implies(or(48 ^ [], 49 ^ []), or(49 ^ [], 48 ^ []))]]))).
% 1.50/2.47 cnf('1.1.1.1',plain,[-(modus_ponens)],extension(2)).
% 1.50/2.47 cnf('1.1.1.2',plain,[-(is_a_theorem(implies(49 ^ [], or(49 ^ [], 48 ^ [])))), or_1],extension(7,bind([[_23793, _23837], [49 ^ [], 48 ^ []]]))).
% 1.50/2.47 cnf('1.1.1.2.1',plain,[-(or_1)],extension(3)).
% 1.50/2.47 cnf('1.1.1.3',plain,[-(is_a_theorem(implies(implies(49 ^ [], or(49 ^ [], 48 ^ [])), implies(or(48 ^ [], 49 ^ []), or(49 ^ [], 48 ^ []))))), modus_ponens, is_a_theorem(implies(48 ^ [], or(49 ^ [], 48 ^ []))), is_a_theorem(implies(implies(48 ^ [], or(49 ^ [], 48 ^ [])), implies(implies(49 ^ [], or(49 ^ [], 48 ^ [])), implies(or(48 ^ [], 49 ^ []), or(49 ^ [], 48 ^ [])))))],extension(6,bind([[_20337, _20388], [implies(48 ^ [], or(49 ^ [], 48 ^ [])), implies(implies(49 ^ [], or(49 ^ [], 48 ^ [])), implies(or(48 ^ [], 49 ^ []), or(49 ^ [], 48 ^ [])))]]))).
% 1.50/2.47 cnf('1.1.1.3.1',plain,[-(modus_ponens)],extension(2)).
% 1.50/2.47 cnf('1.1.1.3.2',plain,[-(is_a_theorem(implies(48 ^ [], or(49 ^ [], 48 ^ [])))), or_2],extension(8,bind([[_24117, _24161], [49 ^ [], 48 ^ []]]))).
% 1.50/2.47 cnf('1.1.1.3.2.1',plain,[-(or_2)],extension(4)).
% 1.50/2.47 cnf('1.1.1.3.3',plain,[-(is_a_theorem(implies(implies(48 ^ [], or(49 ^ [], 48 ^ [])), implies(implies(49 ^ [], or(49 ^ [], 48 ^ [])), implies(or(48 ^ [], 49 ^ []), or(49 ^ [], 48 ^ [])))))), or_3],extension(9,bind([[_24441, _24502, _24562], [48 ^ [], 49 ^ [], or(49 ^ [], 48 ^ [])]]))).
% 1.50/2.47 cnf('1.1.1.3.3.1',plain,[-(or_3)],extension(5)).
% 1.50/2.47 %-----------------------------------------------------
% 1.50/2.48
% 1.50/2.48 % SZS output end Proof for /export/starexec/sandbox2/benchmark/theBenchmark.p
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