TSTP Solution File: LCL459+1 by leanCoP---2.2

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : leanCoP---2.2
% Problem  : LCL459+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : leancop_casc.sh %s %d

% Computer : n014.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 12:16:00 EDT 2022

% Result   : Theorem 0.34s 1.41s
% Output   : Proof 0.34s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12  % Problem  : LCL459+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13  % Command  : leancop_casc.sh %s %d
% 0.12/0.34  % Computer : n014.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 : Sat Jul  2 16:42:10 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.34/1.41  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.41  % SZS output start Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.34/1.42  
% 0.34/1.42  %-----------------------------------------------------
% 0.34/1.42  fof(rosser_kn1, conjecture, kn1, file('/export/starexec/sandbox/benchmark/theBenchmark.p', rosser_kn1)).
% 0.34/1.42  fof(hilbert_modus_ponens, axiom, modus_ponens, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax', hilbert_modus_ponens)).
% 0.34/1.42  fof(hilbert_implies_2, axiom, implies_2, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax', hilbert_implies_2)).
% 0.34/1.42  fof(hilbert_and_3, axiom, and_3, file('/export/starexec/sandbox/benchmark/Axioms/LCL006+2.ax', hilbert_and_3)).
% 0.34/1.42  fof(modus_ponens, axiom, modus_ponens <=> ! [_50213, _50216] : (is_a_theorem(_50213) & is_a_theorem(implies(_50213, _50216)) => is_a_theorem(_50216)), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', modus_ponens)).
% 0.34/1.42  fof(implies_2, axiom, implies_2 <=> ! [_50401, _50404] : is_a_theorem(implies(implies(_50401, implies(_50401, _50404)), implies(_50401, _50404))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', implies_2)).
% 0.34/1.42  fof(and_3, axiom, and_3 <=> ! [_50595, _50598] : is_a_theorem(implies(_50595, implies(_50598, and(_50595, _50598)))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', and_3)).
% 0.34/1.42  fof(kn1, axiom, kn1 <=> ! [_50780] : is_a_theorem(implies(_50780, and(_50780, _50780))), file('/export/starexec/sandbox/benchmark/Axioms/LCL006+0.ax', kn1)).
% 0.34/1.42  
% 0.34/1.42  cnf(1, plain, [kn1], clausify(rosser_kn1)).
% 0.34/1.42  cnf(2, plain, [-(modus_ponens)], clausify(hilbert_modus_ponens)).
% 0.34/1.42  cnf(3, plain, [-(implies_2)], clausify(hilbert_implies_2)).
% 0.34/1.42  cnf(4, plain, [-(and_3)], clausify(hilbert_and_3)).
% 0.34/1.42  cnf(5, plain, [modus_ponens, -(is_a_theorem(_20348)), is_a_theorem(_20297), is_a_theorem(implies(_20297, _20348))], clausify(modus_ponens)).
% 0.34/1.42  cnf(6, plain, [implies_2, -(is_a_theorem(implies(implies(_21802, implies(_21802, _21852)), implies(_21802, _21852))))], clausify(implies_2)).
% 0.34/1.42  cnf(7, plain, [and_3, -(is_a_theorem(implies(_23386, implies(_23433, and(_23386, _23433)))))], clausify(and_3)).
% 0.34/1.42  cnf(8, plain, [-(kn1), is_a_theorem(implies(33 ^ [], and(33 ^ [], 33 ^ [])))], clausify(kn1)).
% 0.34/1.42  
% 0.34/1.42  cnf('1',plain,[kn1],start(1)).
% 0.34/1.42  cnf('1.1',plain,[-(kn1), is_a_theorem(implies(33 ^ [], and(33 ^ [], 33 ^ [])))],extension(8)).
% 0.34/1.42  cnf('1.1.1',plain,[-(is_a_theorem(implies(33 ^ [], and(33 ^ [], 33 ^ [])))), modus_ponens, is_a_theorem(implies(33 ^ [], implies(33 ^ [], and(33 ^ [], 33 ^ [])))), is_a_theorem(implies(implies(33 ^ [], implies(33 ^ [], and(33 ^ [], 33 ^ []))), implies(33 ^ [], and(33 ^ [], 33 ^ []))))],extension(5,bind([[_20297, _20348], [implies(33 ^ [], implies(33 ^ [], and(33 ^ [], 33 ^ []))), implies(33 ^ [], and(33 ^ [], 33 ^ []))]]))).
% 0.34/1.42  cnf('1.1.1.1',plain,[-(modus_ponens)],extension(2)).
% 0.34/1.42  cnf('1.1.1.2',plain,[-(is_a_theorem(implies(33 ^ [], implies(33 ^ [], and(33 ^ [], 33 ^ []))))), and_3],extension(7,bind([[_23386, _23433], [33 ^ [], 33 ^ []]]))).
% 0.34/1.42  cnf('1.1.1.2.1',plain,[-(and_3)],extension(4)).
% 0.34/1.42  cnf('1.1.1.3',plain,[-(is_a_theorem(implies(implies(33 ^ [], implies(33 ^ [], and(33 ^ [], 33 ^ []))), implies(33 ^ [], and(33 ^ [], 33 ^ []))))), implies_2],extension(6,bind([[_21802, _21852], [33 ^ [], and(33 ^ [], 33 ^ [])]]))).
% 0.34/1.42  cnf('1.1.1.3.1',plain,[-(implies_2)],extension(3)).
% 0.34/1.42  %-----------------------------------------------------
% 0.34/1.42  
% 0.34/1.43  % SZS output end Proof for /export/starexec/sandbox/benchmark/theBenchmark.p
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