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SATCoP---0.1.THM-Prf.s

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%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL499+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n001.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 01:03:58 PM UTC 2026

% Result   : Theorem 1.02s 0.55s
% Output   : Proof 1.02s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ kn1,
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',rosser_kn1)]) ).

cnf(g1,plain,
    ( ~ is_a_theorem(implies(sK32,and(sK32,sK32)))
    | kn1 ),
    inference(ground_cnf,[],[file('Axioms/LCL006+0.ax',kn1)]) ).

cnf(g2,plain,
    r1,
    inference(ground_cnf,[],[file('Axioms/LCL006+4.ax',principia_r1)]) ).

cnf(g3,plain,
    r3,
    inference(ground_cnf,[],[file('Axioms/LCL006+4.ax',principia_r3)]) ).

cnf(g4,plain,
    ( ~ sPE(implies(sK32,and(sK32,sK32)),or(not(sK32),and(sK32,sK32)))
    | sPE(or(not(sK32),and(sK32,sK32)),implies(sK32,and(sK32,sK32))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( ~ op_implies_or
    | sPE(implies(sK32,and(sK32,sK32)),or(not(sK32),and(sK32,sK32))) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+1.ax',op_implies_or)]) ).

cnf(g6,plain,
    ( ~ op_and
    | sPE(and(sK32,sK32),not(or(not(sK32),not(sK32)))) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+1.ax',op_and)]) ).

cnf(g7,plain,
    modus_ponens,
    inference(ground_cnf,[],[file('Axioms/LCL006+4.ax',principia_modus_ponens)]) ).

cnf(g8,plain,
    op_implies_or,
    inference(ground_cnf,[],[file('Axioms/LCL006+4.ax',principia_op_implies_or)]) ).

cnf(g9,plain,
    sPE(not(sK32),not(sK32)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    ( ~ r3
    | is_a_theorem(implies(or(and(sK32,sK32),not(sK32)),or(not(sK32),and(sK32,sK32)))) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+0.ax',r3)]) ).

cnf(g11,plain,
    ( ~ modus_ponens
    | ~ is_a_theorem(or(not(or(not(sK32),not(sK32))),not(sK32)))
    | ~ is_a_theorem(implies(or(not(or(not(sK32),not(sK32))),not(sK32)),implies(sK32,and(sK32,sK32))))
    | is_a_theorem(implies(sK32,and(sK32,sK32))) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+0.ax',modus_ponens)]) ).

cnf(g12,plain,
    ( ~ sPE(implies(or(and(sK32,sK32),not(sK32)),or(not(sK32),and(sK32,sK32))),implies(or(not(or(not(sK32),not(sK32))),not(sK32)),implies(sK32,and(sK32,sK32))))
    | ~ is_a_theorem(implies(or(and(sK32,sK32),not(sK32)),or(not(sK32),and(sK32,sK32))))
    | is_a_theorem(implies(or(not(or(not(sK32),not(sK32))),not(sK32)),implies(sK32,and(sK32,sK32)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ sPE(or(and(sK32,sK32),not(sK32)),or(not(or(not(sK32),not(sK32))),not(sK32)))
    | ~ sPE(or(not(sK32),and(sK32,sK32)),implies(sK32,and(sK32,sK32)))
    | sPE(implies(or(and(sK32,sK32),not(sK32)),or(not(sK32),and(sK32,sK32))),implies(or(not(or(not(sK32),not(sK32))),not(sK32)),implies(sK32,and(sK32,sK32)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g14,plain,
    ( ~ sPE(and(sK32,sK32),not(or(not(sK32),not(sK32))))
    | ~ sPE(not(sK32),not(sK32))
    | sPE(or(and(sK32,sK32),not(sK32)),or(not(or(not(sK32),not(sK32))),not(sK32))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g15,plain,
    op_and,
    inference(ground_cnf,[],[file('Axioms/LCL006+4.ax',principia_op_and)]) ).

cnf(g16,plain,
    ( ~ sPE(implies(or(not(sK32),not(sK32)),not(sK32)),or(not(or(not(sK32),not(sK32))),not(sK32)))
    | ~ is_a_theorem(implies(or(not(sK32),not(sK32)),not(sK32)))
    | is_a_theorem(or(not(or(not(sK32),not(sK32))),not(sK32))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ op_implies_or
    | sPE(implies(or(not(sK32),not(sK32)),not(sK32)),or(not(or(not(sK32),not(sK32))),not(sK32))) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+1.ax',op_implies_or)]) ).

cnf(g18,plain,
    ( ~ r1
    | is_a_theorem(implies(or(not(sK32),not(sK32)),not(sK32))) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+0.ax',r1)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : LCL499+1 : TPTP v9.3.1. Bugfixed v9.2.0.
% 0.00/0.04  % Command  : satcop --statistics %s
% 0.10/0.35  % Computer : n001.cluster.edu
% 0.10/0.35  % Model    : x86_64 x86_64
% 0.10/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35  % Memory   : 8046.5625MB
% 0.10/0.35  % OS       : Linux 6.8.0-71-generic
% 0.10/0.35  % CPULimit : 300
% 0.10/0.35  % WCLimit  : 300
% 0.10/0.35  % DateTime : Sat Sep  5 02:58:00 UTC 2026
% 0.10/0.35  % CPUTime  : 
% 1.02/0.55  % symbols: 94
% 1.02/0.55  % clauses: 83
% 1.02/0.55  % start clauses: 1
% 1.02/0.55  % iterative deepening steps: 1373
% 1.02/0.55  % maximum path limit: 6
% 1.02/0.55  % literal attempts: 217624
% 1.02/0.55  % depth failures: 124847
% 1.02/0.55  % regularity failures: 13676
% 1.02/0.55  % tautology failures: 10972
% 1.02/0.55  % reductions: 8
% 1.02/0.55  % extensions: 216324
% 1.02/0.55  % SAT variables: 64495
% 1.02/0.55  % SAT clauses: 79418
% 1.02/0.55  % WalkSAT solutions: 79415
% 1.02/0.55  % CDCL solutions: 0
% 1.02/0.55  % SZS status Theorem for theBenchmark
% 1.02/0.55  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------