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SATCoP---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL538+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n020.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Mon Sep  7 01:04:01 PM UTC 2026

% Result   : Theorem 0.09s 0.37s
% Output   : Proof 0.09s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ modus_ponens_strict_implies,
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_modus_ponens_strict_implies)]) ).

cnf(g1,plain,
    ( is_a_theorem(strict_implies(sK56,sK57))
    | modus_ponens_strict_implies ),
    inference(ground_cnf,[],[file('Axioms/LCL007+0.ax',modus_ponens_strict_implies)]) ).

cnf(g2,plain,
    ( is_a_theorem(sK56)
    | modus_ponens_strict_implies ),
    inference(ground_cnf,[],[file('Axioms/LCL007+0.ax',modus_ponens_strict_implies)]) ).

cnf(g3,plain,
    ( ~ is_a_theorem(sK57)
    | modus_ponens_strict_implies ),
    inference(ground_cnf,[],[file('Axioms/LCL007+0.ax',modus_ponens_strict_implies)]) ).

cnf(g4,plain,
    ( ~ sPE(strict_implies(sK56,sK57),necessarily(implies(sK56,sK57)))
    | ~ is_a_theorem(strict_implies(sK56,sK57))
    | is_a_theorem(necessarily(implies(sK56,sK57))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( ~ op_strict_implies
    | sPE(strict_implies(sK56,sK57),necessarily(implies(sK56,sK57))) ),
    inference(ground_cnf,[],[file('Axioms/LCL007+1.ax',op_strict_implies)]) ).

cnf(g6,plain,
    ( ~ modus_ponens
    | ~ is_a_theorem(sK56)
    | ~ is_a_theorem(implies(sK56,sK57))
    | is_a_theorem(sK57) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+0.ax',modus_ponens)]) ).

cnf(g7,plain,
    modus_ponens,
    inference(ground_cnf,[],[file('Axioms/LCL006+2.ax',hilbert_modus_ponens)]) ).

cnf(g8,plain,
    op_strict_implies,
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',s1_0_op_strict_implies)]) ).

cnf(g9,plain,
    ( ~ modus_ponens
    | ~ is_a_theorem(necessarily(implies(sK56,sK57)))
    | ~ is_a_theorem(implies(necessarily(implies(sK56,sK57)),implies(sK56,sK57)))
    | is_a_theorem(implies(sK56,sK57)) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+0.ax',modus_ponens)]) ).

cnf(g10,plain,
    ( ~ axiom_M
    | is_a_theorem(implies(necessarily(implies(sK56,sK57)),implies(sK56,sK57))) ),
    inference(ground_cnf,[],[file('Axioms/LCL007+0.ax',axiom_M)]) ).

cnf(g11,plain,
    axiom_M,
    inference(ground_cnf,[],[file('Axioms/LCL007+3.ax',km4b_axiom_M)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL538+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04  % Command  : satcop --statistics %s
% 0.09/0.35  % Computer : n020.cluster.edu
% 0.09/0.35  % Model    : x86_64 x86_64
% 0.09/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35  % Memory   : 8046.5625MB
% 0.09/0.35  % OS       : Linux 6.8.0-71-generic
% 0.09/0.35  % CPULimit : 300
% 0.09/0.35  % WCLimit  : 300
% 0.09/0.35  % DateTime : Sat Sep  5 05:41:27 UTC 2026
% 0.09/0.36  % CPUTime  : 
% 0.09/0.37  % symbols: 165
% 0.09/0.37  % clauses: 160
% 0.09/0.37  % start clauses: 1
% 0.09/0.37  % iterative deepening steps: 129
% 0.09/0.37  % maximum path limit: 4
% 0.09/0.37  % literal attempts: 15189
% 0.09/0.37  % depth failures: 10030
% 0.09/0.37  % regularity failures: 1107
% 0.09/0.37  % tautology failures: 371
% 0.09/0.37  % reductions: 1235
% 0.09/0.37  % extensions: 13837
% 0.09/0.37  % SAT variables: 6319
% 0.09/0.37  % SAT clauses: 6570
% 0.09/0.37  % WalkSAT solutions: 6567
% 0.09/0.37  % CDCL solutions: 0
% 0.09/0.37  % SZS status Theorem for theBenchmark
% 0.09/0.37  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------