TSTP Solution File: NUN059+2 by SATCoP---0.1

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SATCoP---0.1
% Problem  : NUN059+2 : TPTP v8.1.0. Bugfixed v7.4.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : satcop --statistics %s

% Computer : n017.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 : Mon Jul 18 16:38:00 EDT 2022

% Result   : Theorem 247.05s 31.55s
% Output   : Proof 247.26s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(g0,plain,
    r4(sG,sG,sK11(sG,sG)),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_2a)]) ).

cnf(g1,plain,
    sPE(sK11(sG,sG),sK11(sG,sG)),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g2,plain,
    sPE(sK12(sK11(sG,sG)),sK11(sG,sG)),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_4a)]) ).

cnf(g3,plain,
    sPE(sG,sG),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g4,plain,
    r3(sK11(sG,sG),sK13(sK11(sG,sG)),sK12(sK11(sG,sG))),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_4a)]) ).

cnf(g5,plain,
    ( ~ sPE(sG,sG)
    | ~ sPE(sG,sG)
    | ~ sPE(sK11(sG,sG),sK19(sK11(sG,sG)))
    | ~ r4(sG,sG,sK11(sG,sG))
    | r4(sG,sG,sK19(sK11(sG,sG))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g6,plain,
    ( sPE(sK11(sG,sG),sK19(sK11(sG,sG)))
    | ~ sP4(sK11(sG,sG)) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_6a)]) ).

cnf(g7,plain,
    ( sPE(sK11(sG,sG),sK3(sG,sG))
    | ~ sP3(sG,sG,sK11(sG,sG)) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_4)]) ).

cnf(g8,plain,
    ( sPE(sK11(sG,sG),sK17(sK11(sG,sG)))
    | sP4(sK11(sG,sG)) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_6a)]) ).

cnf(g9,plain,
    ( ~ sPE(sG,sG)
    | ~ sPE(sG,sG)
    | ~ sPE(sK11(sG,sG),sK0)
    | ~ r4(sG,sG,sK11(sG,sG))
    | r4(sG,sG,sK0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g10,plain,
    ( sPE(sK13(sK11(sG,sG)),sK0)
    | ~ sP0(sK13(sK11(sG,sG))) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).

cnf(g11,plain,
    ( ~ sPE(sK11(sG,sG),sK3(sG,sG))
    | sPE(sK3(sG,sG),sK11(sG,sG)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g12,plain,
    ( ~ sPE(sG,sG)
    | ~ sPE(sG,sG)
    | sPE(sK3(sG,sG),sK3(sG,sG)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g13,plain,
    ( ~ r4(sG,sG,sK11(sG,sG))
    | sP3(sG,sG,sK11(sG,sG)) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_4)]) ).

cnf(g14,plain,
    ( ~ sPE(sK12(sK3(sG,sG)),sK3(sG,sG))
    | sP3(sG,sG,sK12(sK3(sG,sG))) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_4)]) ).

cnf(g15,plain,
    sPE(sK12(sK3(sG,sG)),sK3(sG,sG)),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_4a)]) ).

cnf(g16,plain,
    r4(sK0,sK15(sK0),sK14(sK0)),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_5a)]) ).

cnf(g17,plain,
    ( sPE(sK17(sK11(sG,sG)),sK0)
    | ~ sP0(sK17(sK11(sG,sG))) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).

cnf(g18,plain,
    ( r1(sK17(sK11(sG,sG)))
    | sP4(sK11(sG,sG)) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_6a)]) ).

cnf(g19,plain,
    r3(sK3(sG,sG),sK13(sK3(sG,sG)),sK12(sK3(sG,sG))),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_4a)]) ).

cnf(g20,plain,
    sPE(sK0,sK0),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g21,plain,
    sPE(sK14(sK0),sK16(sK0)),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_5a)]) ).

cnf(g22,plain,
    ( sPE(sK15(sK0),sK0)
    | ~ sP0(sK15(sK0)) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).

cnf(g23,plain,
    ( sPE(sK13(sK3(sG,sG)),sK0)
    | ~ sP0(sK13(sK3(sG,sG))) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).

cnf(g24,plain,
    ( sPE(sK12(sK3(sG,sG)),sK2(sK3(sG,sG),sK13(sK3(sG,sG))))
    | ~ sP2(sK3(sG,sG),sK13(sK3(sG,sG)),sK12(sK3(sG,sG))) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_3)]) ).

cnf(g25,plain,
    ( ~ r3(sK3(sG,sG),sK13(sK3(sG,sG)),sK12(sK3(sG,sG)))
    | sP2(sK3(sG,sG),sK13(sK3(sG,sG)),sK12(sK3(sG,sG))) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_3)]) ).

cnf(g26,plain,
    ( ~ sPE(sK3(sG,sG),sK3(sG,sG))
    | ~ sPE(sK13(sK3(sG,sG)),sK0)
    | sPE(sK2(sK3(sG,sG),sK13(sK3(sG,sG))),sK2(sK3(sG,sG),sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g27,plain,
    ( ~ sPE(sK0,sK0)
    | ~ sPE(sK15(sK0),sK0)
    | ~ sPE(sK14(sK0),sK0)
    | ~ r4(sK0,sK15(sK0),sK14(sK0))
    | r4(sK0,sK0,sK0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g28,plain,
    ( ~ sPE(sK11(sG,sG),sK17(sK11(sG,sG)))
    | ~ sPE(sK17(sK11(sG,sG)),sK0)
    | sPE(sK11(sG,sG),sK0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g29,plain,
    ( ~ r1(sK17(sK11(sG,sG)))
    | sP0(sK17(sK11(sG,sG))) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).

cnf(g30,plain,
    ( ~ r1(sK15(sK0))
    | sP0(sK15(sK0)) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).

cnf(g31,plain,
    ( r4(sG,sG,sK2(sK3(sG,sG),sK13(sK3(sG,sG))))
    | ~ sP3(sG,sG,sK2(sK3(sG,sG),sK13(sK3(sG,sG)))) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_4)]) ).

cnf(g32,plain,
    ( ~ sPE(sG,sG)
    | ~ sPE(sG,sG)
    | ~ sPE(sK12(sK3(sG,sG)),sK2(sK3(sG,sG),sK13(sK3(sG,sG))))
    | ~ sP3(sG,sG,sK12(sK3(sG,sG)))
    | sP3(sG,sG,sK2(sK3(sG,sG),sK13(sK3(sG,sG)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g33,plain,
    ( ~ sPE(sK2(sK3(sG,sG),sK13(sK3(sG,sG))),sK2(sK3(sG,sG),sK0))
    | sPE(sK2(sK3(sG,sG),sK0),sK2(sK3(sG,sG),sK13(sK3(sG,sG)))) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g34,plain,
    ( ~ r1(sK13(sK3(sG,sG)))
    | sP0(sK13(sK3(sG,sG))) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).

cnf(g35,plain,
    r1(sK13(sK3(sG,sG))),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_4a)]) ).

cnf(g36,plain,
    ( ~ sPE(sK2(sK3(sG,sG),sK0),sK2(sK3(sG,sG),sK13(sK3(sG,sG))))
    | ~ r3(sK11(sG,sG),sK0,sK2(sK3(sG,sG),sK0))
    | ~ r4(sG,sG,sK11(sG,sG))
    | ~ r4(sG,sG,sK0)
    | ~ r4(sG,sG,sK2(sK3(sG,sG),sK13(sK3(sG,sG)))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fermattothepoweroftwo)]) ).

cnf(g37,plain,
    ( r3(sK11(sG,sG),sK0,sK2(sK3(sG,sG),sK0))
    | ~ sP2(sK11(sG,sG),sK0,sK2(sK3(sG,sG),sK0)) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_3)]) ).

cnf(g38,plain,
    ( ~ sPE(sK2(sK3(sG,sG),sK0),sK2(sK11(sG,sG),sK0))
    | sP2(sK11(sG,sG),sK0,sK2(sK3(sG,sG),sK0)) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_3)]) ).

cnf(g39,plain,
    ( ~ sPE(sK3(sG,sG),sK11(sG,sG))
    | ~ sPE(sK0,sK0)
    | sPE(sK2(sK3(sG,sG),sK0),sK2(sK11(sG,sG),sK0)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g40,plain,
    r1(sK15(sK0)),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_5a)]) ).

cnf(g41,plain,
    ( ~ sPE(sK14(sK0),sK16(sK0))
    | ~ sPE(sK16(sK0),sK0)
    | sPE(sK14(sK0),sK0) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g42,plain,
    ( sPE(sK16(sK0),sK0)
    | ~ sP0(sK16(sK0)) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).

cnf(g43,plain,
    ( ~ r1(sK16(sK0))
    | sP0(sK16(sK0)) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).

cnf(g44,plain,
    r1(sK16(sK0)),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_5a)]) ).

cnf(g45,plain,
    ( ~ r1(sK13(sK11(sG,sG)))
    | sP0(sK13(sK11(sG,sG))) ),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_1)]) ).

cnf(g46,plain,
    ( ~ sPE(sK11(sG,sG),sK11(sG,sG))
    | ~ sPE(sK13(sK11(sG,sG)),sK0)
    | ~ sPE(sK12(sK11(sG,sG)),sK11(sG,sG))
    | ~ r3(sK11(sG,sG),sK13(sK11(sG,sG)),sK12(sK11(sG,sG)))
    | r3(sK11(sG,sG),sK0,sK11(sG,sG)) ),
    inference(ground_cnf,[],[theory(equality)]) ).

cnf(g47,plain,
    r1(sK13(sK11(sG,sG))),
    inference(ground_cnf,[],[file('Axioms/NUM008+0.ax',axiom_4a)]) ).

cnf(g48,plain,
    ( ~ sPE(sK11(sG,sG),sK19(sK11(sG,sG)))
    | ~ r3(sK11(sG,sG),sK0,sK11(sG,sG))
    | ~ r4(sG,sG,sK11(sG,sG))
    | ~ r4(sK0,sK0,sK0)
    | ~ r4(sG,sG,sK19(sK11(sG,sG))) ),
    inference(ground_cnf,[],[file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fermattothepoweroftwo)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : NUN059+2 : TPTP v8.1.0. Bugfixed v7.4.0.
% 0.04/0.12  % Command  : satcop --statistics %s
% 0.12/0.33  % Computer : n017.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 : Thu Jun  2 07:15:42 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 247.05/31.55  % symbols: 31
% 247.05/31.55  % clauses: 71
% 247.05/31.55  % start clauses: 1
% 247.05/31.55  % iterative deepening steps: 11207
% 247.05/31.55  % maximum path limit: 8
% 247.05/31.55  % literal attempts: 7258858
% 247.05/31.55  % depth failures: 4595687
% 247.05/31.55  % regularity failures: 434708
% 247.05/31.55  % tautology failures: 152815
% 247.05/31.55  % reductions: 31622
% 247.05/31.55  % extensions: 7220047
% 247.05/31.55  % SAT variables: 3614929
% 247.05/31.55  % SAT clauses: 5165227
% 247.05/31.55  % WalkSAT solutions: 5165000
% 247.05/31.55  % CDCL solutions: 222
% 247.05/31.55  % SZS status Theorem for theBenchmark
% 247.05/31.55  % SZS output start ListOfCNF for theBenchmark
% See solution above
%------------------------------------------------------------------------------