TSTP Solution File: LCL488+1 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : LCL488+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n006.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 14:15:36 EDT 2022

% Result   : Theorem 8.79s 1.43s
% Output   : Proof 8.79s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    ~ and_2,
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_and_2)]) ).

cnf(g1,plain,
    ( ~ is_a_theorem(implies(and(sK15,sK16),sK16))
    | and_2 ),
    inference(ground_cnf,[],[file('Axioms/LCL006+0.ax',and_2)]) ).

cnf(g2,plain,
    r3,
    inference(ground_cnf,[],[file('Axioms/LCL006+4.ax',principia_r3)]) ).

cnf(g3,plain,
    r2,
    inference(ground_cnf,[],[file('Axioms/LCL006+4.ax',principia_r2)]) ).

cnf(g4,plain,
    sPE(sK16,sK16),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g5,plain,
    ( ~ op_and
    | sPE(and(sK15,sK16),not(or(not(sK15),not(sK16)))) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+1.ax',op_and)]) ).

cnf(g6,plain,
    ( ~ sPE(implies(and(sK15,sK16),sK16),implies(not(or(not(sK15),not(sK16))),sK16))
    | sPE(implies(not(or(not(sK15),not(sK16))),sK16),implies(and(sK15,sK16),sK16)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g7,plain,
    ( ~ sPE(and(sK15,sK16),not(or(not(sK15),not(sK16))))
    | ~ sPE(sK16,sK16)
    | sPE(implies(and(sK15,sK16),sK16),implies(not(or(not(sK15),not(sK16))),sK16)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

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

cnf(g9,plain,
    modus_ponens,
    inference(ground_cnf,[],[file('Axioms/LCL006+4.ax',principia_modus_ponens)]) ).

cnf(g10,plain,
    op_or,
    inference(ground_cnf,[],[file('/export/starexec/sandbox/benchmark/theBenchmark.p',hilbert_op_or)]) ).

cnf(g11,plain,
    op_and,
    inference(ground_cnf,[],[file('Axioms/LCL006+4.ax',principia_op_and)]) ).

cnf(g12,plain,
    ( ~ sPE(implies(not(or(not(sK15),not(sK16))),sK16),not(and(not(or(not(sK15),not(sK16))),not(sK16))))
    | sPE(not(and(not(or(not(sK15),not(sK16))),not(sK16))),implies(not(or(not(sK15),not(sK16))),sK16)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ op_implies_and
    | sPE(implies(not(or(not(sK15),not(sK16))),sK16),not(and(not(or(not(sK15),not(sK16))),not(sK16)))) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+1.ax',op_implies_and)]) ).

cnf(g14,plain,
    ( ~ op_or
    | sPE(or(or(not(sK15),not(sK16)),sK16),not(and(not(or(not(sK15),not(sK16))),not(sK16)))) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+1.ax',op_or)]) ).

cnf(g15,plain,
    ( ~ sPE(or(or(not(sK15),not(sK16)),sK16),implies(and(sK15,sK16),sK16))
    | ~ is_a_theorem(or(or(not(sK15),not(sK16)),sK16))
    | is_a_theorem(implies(and(sK15,sK16),sK16)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g16,plain,
    ( ~ sPE(or(or(not(sK15),not(sK16)),sK16),implies(not(or(not(sK15),not(sK16))),sK16))
    | ~ sPE(implies(not(or(not(sK15),not(sK16))),sK16),implies(and(sK15,sK16),sK16))
    | sPE(or(or(not(sK15),not(sK16)),sK16),implies(and(sK15,sK16),sK16)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g17,plain,
    ( ~ sPE(or(or(not(sK15),not(sK16)),sK16),not(and(not(or(not(sK15),not(sK16))),not(sK16))))
    | ~ sPE(not(and(not(or(not(sK15),not(sK16))),not(sK16))),implies(not(or(not(sK15),not(sK16))),sK16))
    | sPE(or(or(not(sK15),not(sK16)),sK16),implies(not(or(not(sK15),not(sK16))),sK16)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g18,plain,
    ( ~ modus_ponens
    | ~ is_a_theorem(or(sK16,or(not(sK15),not(sK16))))
    | ~ is_a_theorem(implies(or(sK16,or(not(sK15),not(sK16))),or(or(not(sK15),not(sK16)),sK16)))
    | is_a_theorem(or(or(not(sK15),not(sK16)),sK16)) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+0.ax',modus_ponens)]) ).

cnf(g19,plain,
    ( ~ r3
    | is_a_theorem(implies(or(sK16,or(not(sK15),not(sK16))),or(or(not(sK15),not(sK16)),sK16))) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+0.ax',r3)]) ).

cnf(g20,plain,
    ( ~ sPE(not(and(not(sK16),not(or(not(sK15),not(sK16))))),or(sK16,or(not(sK15),not(sK16))))
    | ~ is_a_theorem(not(and(not(sK16),not(or(not(sK15),not(sK16))))))
    | is_a_theorem(or(sK16,or(not(sK15),not(sK16)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    ( ~ sPE(or(sK16,or(not(sK15),not(sK16))),not(and(not(sK16),not(or(not(sK15),not(sK16))))))
    | sPE(not(and(not(sK16),not(or(not(sK15),not(sK16))))),or(sK16,or(not(sK15),not(sK16)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g22,plain,
    ( ~ op_or
    | sPE(or(sK16,or(not(sK15),not(sK16))),not(and(not(sK16),not(or(not(sK15),not(sK16)))))) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+1.ax',op_or)]) ).

cnf(g23,plain,
    ( ~ sPE(implies(not(sK16),or(not(sK15),not(sK16))),not(and(not(sK16),not(or(not(sK15),not(sK16))))))
    | ~ is_a_theorem(implies(not(sK16),or(not(sK15),not(sK16))))
    | is_a_theorem(not(and(not(sK16),not(or(not(sK15),not(sK16)))))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g24,plain,
    ( ~ op_implies_and
    | sPE(implies(not(sK16),or(not(sK15),not(sK16))),not(and(not(sK16),not(or(not(sK15),not(sK16)))))) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+1.ax',op_implies_and)]) ).

cnf(g25,plain,
    ( ~ r2
    | is_a_theorem(implies(not(sK16),or(not(sK15),not(sK16)))) ),
    inference(ground_cnf,[],[file('Axioms/LCL006+0.ax',r2)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : LCL488+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n006.cluster.edu
% 0.12/0.33  % Model    : x86_64 x86_64
% 0.12/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33  % Memory   : 8042.1875MB
% 0.12/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33  % CPULimit : 300
% 0.12/0.33  % WCLimit  : 600
% 0.12/0.33  % DateTime : Sun Jul  3 04:54:07 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 8.79/1.43  % symbols: 94
% 8.79/1.43  % clauses: 83
% 8.79/1.43  % start clauses: 1
% 8.79/1.43  % iterative deepening steps: 3744
% 8.79/1.43  % maximum path limit: 7
% 8.79/1.43  % literal attempts: 1375668
% 8.79/1.43  % depth failures: 784700
% 8.79/1.43  % regularity failures: 93101
% 8.79/1.43  % tautology failures: 70351
% 8.79/1.43  % reductions: 751
% 8.79/1.43  % extensions: 1371798
% 8.79/1.43  % SAT variables: 437467
% 8.79/1.43  % SAT clauses: 548349
% 8.79/1.43  % WalkSAT solutions: 548348
% 8.79/1.43  % CDCL solutions: 0
% 8.79/1.43  % SZS status Theorem for theBenchmark
% 8.79/1.43  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------