TSTP Solution File: NUM454+6 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : NUM454+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n016.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 14:10:40 EDT 2022

% Result   : Theorem 2.16s 2.36s
% Output   : Refutation 2.16s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   17
%            Number of leaves      :   25
% Syntax   : Number of clauses     :   96 (  80 unt;   1 nHn;  96 RR)
%            Number of literals    :  125 (  89 equ;  30 neg)
%            Maximal clause size   :    5 (   1 avg)
%            Maximal term depth    :    4 (   2 avg)
%            Number of predicates  :    3 (   1 usr;   1 prp; 0-2 aty)
%            Number of functors    :    8 (   8 usr;   5 con; 0-2 aty)
%            Number of variables   :   27 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(2,axiom,
    aInteger0(sz10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntOne) ).

cnf(3,axiom,
    ( ~ aInteger0(X)
    | aInteger0(smndt0(X)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIntNeg) ).

cnf(6,axiom,
    ( ~ aInteger0(X)
    | ~ aInteger0(Y)
    | ~ aInteger0(Z)
    | sdtpldt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtpldt0(X,Y),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).

cnf(7,axiom,
    ( ~ aInteger0(X)
    | ~ aInteger0(Y)
    | sdtpldt0(X,Y) = sdtpldt0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).

cnf(8,axiom,
    ( ~ aInteger0(X)
    | sdtpldt0(X,sz00) = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).

cnf(9,axiom,
    ( ~ aInteger0(X)
    | X = sdtpldt0(sz00,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).

cnf(10,axiom,
    ( ~ aInteger0(X)
    | sdtpldt0(X,smndt0(X)) = sz00 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).

cnf(11,axiom,
    ( ~ aInteger0(X)
    | sz00 = sdtpldt0(smndt0(X),X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddNeg) ).

cnf(12,axiom,
    ( ~ aInteger0(X)
    | ~ aInteger0(Y)
    | ~ aInteger0(Z)
    | sdtasdt0(X,sdtasdt0(Y,Z)) = sdtasdt0(sdtasdt0(X,Y),Z) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulAsso) ).

cnf(13,axiom,
    ( ~ aInteger0(X)
    | ~ aInteger0(Y)
    | sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).

cnf(14,axiom,
    ( ~ aInteger0(X)
    | sdtasdt0(X,sz10) = X ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulOne) ).

cnf(15,axiom,
    ( ~ aInteger0(X)
    | X = sdtasdt0(sz10,X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulOne) ).

cnf(16,axiom,
    ( ~ aInteger0(X)
    | ~ aInteger0(Y)
    | ~ aInteger0(Z)
    | sdtasdt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistrib) ).

cnf(17,axiom,
    ( ~ aInteger0(X)
    | ~ aInteger0(Y)
    | ~ aInteger0(Z)
    | sdtasdt0(sdtpldt0(X,Y),Z) = sdtpldt0(sdtasdt0(X,Z),sdtasdt0(Y,Z)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistrib) ).

cnf(20,axiom,
    ( ~ aInteger0(X)
    | sdtasdt0(smndt0(sz10),X) = smndt0(X) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMinOne) ).

cnf(21,axiom,
    ( ~ aInteger0(X)
    | smndt0(X) = sdtasdt0(X,smndt0(sz10)) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulMinOne) ).

cnf(22,axiom,
    ( ~ aInteger0(X)
    | ~ aInteger0(Y)
    | sdtasdt0(X,Y) != sz00
    | X = sz00
    | Y = sz00 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroDiv) ).

cnf(238,hypothesis,
    aInteger0(xp),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2171) ).

cnf(239,hypothesis,
    xp != sz00,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2171) ).

cnf(262,hypothesis,
    aInteger0('SKOLEMAAAU28'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2232) ).

cnf(263,hypothesis,
    sdtasdt0(xp,'SKOLEMAAAU28') = sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2232) ).

cnf(268,hypothesis,
    aInteger0('SKOLEMAAAU29'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2232) ).

cnf(269,hypothesis,
    sdtasdt0(xp,'SKOLEMAAAU29') = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2232) ).

cnf(276,negated_conjecture,
    sdtpldt0(sz10,xp) = smndt0(sz10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(277,negated_conjecture,
    sdtpldt0(sz10,smndt0(xp)) = smndt0(sz10),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).

cnf(278,plain,
    sdtasdt0(xp,'SKOLEMAAAU29') = sdtpldt0(smndt0(sz10),smndt0(sz10)),
    inference('REWRITE',[status(thm)],[269,277,theory(equality)]) ).

cnf(282,plain,
    sdtasdt0(xp,'SKOLEMAAAU28') = sdtasdt0(xp,'SKOLEMAAAU29'),
    inference('REWRITE',[status(thm)],[263,278,276,theory(equality)]) ).

cnf(283,plain,
    sdtasdt0(xp,'SKOLEMAAAU28') = sdtpldt0(smndt0(sz10),smndt0(sz10)),
    inference('REWRITE',[status(thm)],[278,282,theory(equality)]) ).

cnf(313,plain,
    aInteger0(smndt0('SKOLEMAAAU28')),
    inference('HYPERRESOLVE',[status(thm)],[3,262]) ).

cnf(314,plain,
    aInteger0(smndt0(xp)),
    inference('HYPERRESOLVE',[status(thm)],[3,238]) ).

cnf(315,plain,
    aInteger0(smndt0(sz10)),
    inference('HYPERRESOLVE',[status(thm)],[3,2]) ).

cnf(319,plain,
    sdtpldt0('SKOLEMAAAU28',sz00) = 'SKOLEMAAAU28',
    inference('HYPERRESOLVE',[status(thm)],[8,262]) ).

cnf(320,plain,
    sdtpldt0(xp,sz00) = xp,
    inference('HYPERRESOLVE',[status(thm)],[8,238]) ).

cnf(325,plain,
    xp = sdtpldt0(sz00,xp),
    inference('HYPERRESOLVE',[status(thm)],[9,238]) ).

cnf(326,plain,
    sz10 = sdtpldt0(sz00,sz10),
    inference('HYPERRESOLVE',[status(thm)],[9,2]) ).

cnf(328,plain,
    sdtasdt0('SKOLEMAAAU28',sz10) = 'SKOLEMAAAU28',
    inference('HYPERRESOLVE',[status(thm)],[14,262]) ).

cnf(329,plain,
    sdtasdt0(xp,sz10) = xp,
    inference('HYPERRESOLVE',[status(thm)],[14,238]) ).

cnf(333,plain,
    'SKOLEMAAAU28' = sdtasdt0(sz10,'SKOLEMAAAU28'),
    inference('HYPERRESOLVE',[status(thm)],[15,262]) ).

cnf(374,plain,
    sdtpldt0(xp,smndt0(xp)) = sz00,
    inference('HYPERRESOLVE',[status(thm)],[10,238]) ).

cnf(378,plain,
    sz00 = sdtpldt0(smndt0('SKOLEMAAAU28'),'SKOLEMAAAU28'),
    inference('HYPERRESOLVE',[status(thm)],[11,262]) ).

cnf(379,plain,
    sz00 = sdtpldt0(smndt0(xp),xp),
    inference('HYPERRESOLVE',[status(thm)],[11,238]) ).

cnf(380,plain,
    sz00 = sdtpldt0(smndt0(sz10),sz10),
    inference('HYPERRESOLVE',[status(thm)],[11,2]) ).

cnf(384,plain,
    sdtasdt0(smndt0(sz10),'SKOLEMAAAU28') = smndt0('SKOLEMAAAU28'),
    inference('HYPERRESOLVE',[status(thm)],[20,262]) ).

cnf(389,plain,
    smndt0('SKOLEMAAAU28') = sdtasdt0('SKOLEMAAAU28',smndt0(sz10)),
    inference('HYPERRESOLVE',[status(thm)],[21,262]) ).

cnf(390,plain,
    smndt0(xp) = sdtasdt0(xp,smndt0(sz10)),
    inference('HYPERRESOLVE',[status(thm)],[21,238]) ).

cnf(405,plain,
    sdtpldt0('SKOLEMAAAU28',xp) = sdtpldt0(xp,'SKOLEMAAAU28'),
    inference('HYPERRESOLVE',[status(thm)],[7,262,238]) ).

cnf(407,plain,
    sdtpldt0(xp,sz10) = smndt0(sz10),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,238,2]),276,theory(equality)]) ).

cnf(409,plain,
    sdtasdt0('SKOLEMAAAU29',xp) = sdtasdt0(xp,'SKOLEMAAAU28'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[13,268,238]),282,theory(equality)]) ).

cnf(410,plain,
    sdtasdt0('SKOLEMAAAU28',xp) = sdtasdt0(xp,'SKOLEMAAAU28'),
    inference('HYPERRESOLVE',[status(thm)],[13,262,238]) ).

cnf(519,plain,
    sdtasdt0(xp,xp) != sz00,
    inference('UR-RESOLVE',[status(thm)],[22,238,238,239,239]) ).

cnf(629,plain,
    sdtasdt0('SKOLEMAAAU29',sdtasdt0(xp,xp)) = sdtasdt0(sdtasdt0(xp,'SKOLEMAAAU28'),xp),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[12,268,238,238]),409,theory(equality)]) ).

cnf(649,plain,
    sdtasdt0(xp,sdtasdt0(xp,'SKOLEMAAAU28')) = sdtasdt0('SKOLEMAAAU29',sdtasdt0(xp,xp)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[12,238,268,238]),629,282,409,theory(equality)]) ).

cnf(652,plain,
    sdtasdt0(xp,sdtasdt0('SKOLEMAAAU28',xp)) = sdtasdt0('SKOLEMAAAU29',sdtasdt0(xp,xp)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[12,238,262,238]),629,theory(equality)]) ).

cnf(654,plain,
    sdtasdt0('SKOLEMAAAU29',sdtasdt0(xp,xp)) = sdtasdt0(sdtasdt0(xp,xp),'SKOLEMAAAU28'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[12,238,238,262]),649,theory(equality)]) ).

cnf(656,plain,
    sdtasdt0(xp,sdtasdt0(xp,'SKOLEMAAAU28')) = sdtasdt0(sdtasdt0(xp,xp),'SKOLEMAAAU28'),
    inference('REWRITE',[status(thm)],[649,654,theory(equality)]) ).

cnf(657,plain,
    sdtasdt0(xp,sdtasdt0('SKOLEMAAAU28',xp)) = sdtasdt0(sdtasdt0(xp,xp),'SKOLEMAAAU28'),
    inference('REWRITE',[status(thm)],[652,654,theory(equality)]) ).

cnf(724,plain,
    smndt0('SKOLEMAAAU28') = sdtpldt0(sdtasdt0('SKOLEMAAAU28',xp),'SKOLEMAAAU28'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,262,238,2]),328,389,407,theory(equality)]) ).

cnf(769,plain,
    smndt0(xp) = sdtpldt0(xp,sdtasdt0(xp,xp)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,238,2,238]),329,390,276,theory(equality)]) ).

cnf(770,plain,
    sdtasdt0(xp,sdtpldt0(sz10,sz10)) = sdtpldt0(xp,xp),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,238,2,2]),329,theory(equality)]) ).

cnf(861,plain,
    sdtasdt0(sdtpldt0('SKOLEMAAAU28',xp),xp) = sdtpldt0(sdtasdt0('SKOLEMAAAU28',xp),sdtasdt0(xp,xp)),
    inference('HYPERRESOLVE',[status(thm)],[17,262,238,238]) ).

cnf(1638,plain,
    sdtasdt0(smndt0('SKOLEMAAAU28'),xp) = sdtasdt0(xp,smndt0('SKOLEMAAAU28')),
    inference('HYPERRESOLVE',[status(thm)],[13,313,238]) ).

cnf(1642,plain,
    sdtpldt0(smndt0('SKOLEMAAAU28'),xp) = sdtpldt0(xp,smndt0('SKOLEMAAAU28')),
    inference('HYPERRESOLVE',[status(thm)],[7,313,238]) ).

cnf(1746,plain,
    xp = sdtpldt0(sdtpldt0(xp,smndt0('SKOLEMAAAU28')),'SKOLEMAAAU28'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,313,238,262]),320,378,theory(equality)]) ).

cnf(1763,plain,
    sdtasdt0('SKOLEMAAAU28',sdtasdt0(xp,smndt0('SKOLEMAAAU28'))) = sdtasdt0(sdtasdt0('SKOLEMAAAU28',xp),smndt0('SKOLEMAAAU28')),
    inference('HYPERRESOLVE',[status(thm)],[12,313,262,238]) ).

cnf(2249,plain,
    sdtpldt0(smndt0(xp),sz00) = smndt0(xp),
    inference('HYPERRESOLVE',[status(thm)],[8,314]) ).

cnf(2262,plain,
    sdtasdt0(smndt0(xp),'SKOLEMAAAU28') = sdtasdt0('SKOLEMAAAU28',smndt0(xp)),
    inference('HYPERRESOLVE',[status(thm)],[13,314,262]) ).

cnf(2267,plain,
    sdtpldt0(smndt0(xp),'SKOLEMAAAU28') = sdtpldt0('SKOLEMAAAU28',smndt0(xp)),
    inference('HYPERRESOLVE',[status(thm)],[7,314,262]) ).

cnf(2268,plain,
    sdtpldt0(smndt0(xp),sz10) = smndt0(sz10),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,314,2]),277,theory(equality)]) ).

cnf(2281,plain,
    sdtpldt0(smndt0(xp),smndt0('SKOLEMAAAU28')) = sdtpldt0(smndt0('SKOLEMAAAU28'),smndt0(xp)),
    inference('HYPERRESOLVE',[status(thm)],[7,314,313]) ).

cnf(2345,plain,
    sdtpldt0(smndt0(xp),smndt0(sz10)) = sz10,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,314,238,2]),326,379,407,theory(equality)]) ).

cnf(2348,plain,
    sz10 = sdtpldt0(smndt0(sz10),xp),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,314,2,238]),2268,2345,276,theory(equality)]) ).

cnf(2381,plain,
    'SKOLEMAAAU28' = sdtpldt0(sdtpldt0('SKOLEMAAAU28',smndt0(xp)),xp),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,314,262,238]),319,379,theory(equality)]) ).

cnf(2411,plain,
    'SKOLEMAAAU28' = sdtpldt0(sdtpldt0('SKOLEMAAAU28',xp),smndt0(xp)),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,314,262,238]),319,374,theory(equality)]) ).

cnf(2436,plain,
    smndt0('SKOLEMAAAU28') = sdtpldt0(sdtasdt0(smndt0(xp),'SKOLEMAAAU28'),'SKOLEMAAAU28'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,314,2,262]),333,384,2268,theory(equality)]) ).

cnf(2481,plain,
    smndt0(xp) = sdtpldt0(sdtpldt0(smndt0(xp),smndt0('SKOLEMAAAU28')),'SKOLEMAAAU28'),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,314,313,262]),2249,378,theory(equality)]) ).

cnf(3328,plain,
    sdtasdt0(xp,'SKOLEMAAAU28') = sdtpldt0(sz10,sz10),
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,315,238,2]),2348,283,407,theory(equality)]) ).

cnf(3367,plain,
    sdtasdt0(sdtasdt0(xp,xp),'SKOLEMAAAU28') = sdtpldt0(xp,xp),
    inference('REWRITE',[status(thm)],[770,656,3328,theory(equality)]) ).

cnf(3559,plain,
    sdtasdt0(xp,'SKOLEMAAAU28') = xp,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,315,2,238]),325,380,283,276,theory(equality)]) ).

cnf(3564,plain,
    sdtasdt0('SKOLEMAAAU28',xp) = xp,
    inference('REWRITE',[status(thm)],[410,3559,theory(equality)]) ).

cnf(3568,plain,
    sdtasdt0(xp,xp) = sdtasdt0(sdtasdt0(xp,xp),'SKOLEMAAAU28'),
    inference('REWRITE',[status(thm)],[657,3564,theory(equality)]) ).

cnf(3571,plain,
    sdtasdt0(xp,xp) = sdtpldt0(xp,xp),
    inference('REWRITE',[status(thm)],[3367,3568,theory(equality)]) ).

cnf(3604,plain,
    smndt0('SKOLEMAAAU28') = sdtpldt0(xp,'SKOLEMAAAU28'),
    inference('REWRITE',[status(thm)],[724,3564,theory(equality)]) ).

cnf(3605,plain,
    sdtpldt0('SKOLEMAAAU28',xp) = smndt0('SKOLEMAAAU28'),
    inference('REWRITE',[status(thm)],[405,3604,theory(equality)]) ).

cnf(3676,plain,
    'SKOLEMAAAU28' = sdtpldt0(smndt0('SKOLEMAAAU28'),smndt0(xp)),
    inference('REWRITE',[status(thm)],[2411,3605,theory(equality)]) ).

cnf(3677,plain,
    sdtpldt0(smndt0(xp),smndt0('SKOLEMAAAU28')) = 'SKOLEMAAAU28',
    inference('REWRITE',[status(thm)],[2281,3676,theory(equality)]) ).

cnf(3679,plain,
    smndt0(xp) = sdtpldt0('SKOLEMAAAU28','SKOLEMAAAU28'),
    inference('REWRITE',[status(thm)],[2481,3677,theory(equality)]) ).

cnf(3759,plain,
    sdtasdt0(smndt0('SKOLEMAAAU28'),xp) = smndt0(xp),
    inference('REWRITE',[status(thm)],[861,769,3605,3564,theory(equality)]) ).

cnf(3760,plain,
    smndt0(xp) = sdtasdt0(xp,smndt0('SKOLEMAAAU28')),
    inference('REWRITE',[status(thm)],[1638,3759,theory(equality)]) ).

cnf(3878,plain,
    sdtasdt0('SKOLEMAAAU28',smndt0(xp)) = smndt0(xp),
    inference('REWRITE',[status(thm)],[1763,3760,3564,theory(equality)]) ).

cnf(3879,plain,
    sdtasdt0(smndt0(xp),'SKOLEMAAAU28') = smndt0(xp),
    inference('REWRITE',[status(thm)],[2262,3878,theory(equality)]) ).

cnf(3881,plain,
    smndt0('SKOLEMAAAU28') = sdtpldt0(smndt0(xp),'SKOLEMAAAU28'),
    inference('REWRITE',[status(thm)],[2436,3879,theory(equality)]) ).

cnf(3882,plain,
    smndt0('SKOLEMAAAU28') = sdtpldt0('SKOLEMAAAU28',smndt0(xp)),
    inference('REWRITE',[status(thm)],[2267,3881,theory(equality)]) ).

cnf(3884,plain,
    'SKOLEMAAAU28' = sdtpldt0(smndt0('SKOLEMAAAU28'),xp),
    inference('REWRITE',[status(thm)],[2381,3882,theory(equality)]) ).

cnf(3885,plain,
    'SKOLEMAAAU28' = sdtpldt0(xp,smndt0('SKOLEMAAAU28')),
    inference('REWRITE',[status(thm)],[1642,3884,theory(equality)]) ).

cnf(3887,plain,
    xp = smndt0(xp),
    inference('REWRITE',[status(thm)],[1746,3679,3885,theory(equality)]) ).

cnf(3888,plain,
    $false,
    inference('REWRITE',[status(thm)],[379,519,3571,3887,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem  : NUM454+6 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n016.cluster.edu
% 0.13/0.34  % Model    : x86_64 x86_64
% 0.13/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34  % Memory   : 8042.1875MB
% 0.13/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34  % CPULimit : 300
% 0.13/0.34  % WCLimit  : 600
% 0.13/0.34  % DateTime : Tue Jul  5 09:50:33 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.20/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46  * 
% 0.20/0.46  * 
% 0.20/0.47  #<PACKAGE "SNARK-USER">
% 0.20/0.47  * 
% 0.20/0.47  SNARK-TPTP-OPTIONS
% 0.20/0.47  * 
% 0.20/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47   (USE-FACTORING :POS)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47  * 
% 0.20/0.47  "."
% 0.20/0.47  * 
% 0.20/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T09:50:33
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-05T09:50:33
% 2.16/2.36  
% 2.16/2.36  
% 2.16/2.36  #||
% 2.16/2.36  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.16/2.36  % SZS output start Refutation
% See solution above
% 2.16/2.38  ||#
% 2.16/2.38  
% 2.16/2.38  ; Summary of computation:
% 2.16/2.38  ;     11115 formulas have been input or derived (from 215 formulas).
% 2.16/2.38  ;      3888 (35%) were retained.  Of these,
% 2.16/2.38  ;         2241 (58%) were simplified or subsumed later,
% 2.16/2.38  ;         1647 (42%) are still being kept.
% 2.16/2.38  ; 
% 2.16/2.38  ; Run time in seconds excluding printing time:
% 2.16/2.38  ;     0.021   1%   Read assertion file          (1 call)
% 2.16/2.38  ;     0.008   0%   Assert                       (49 calls)
% 2.16/2.38  ;     0.257  14%   Process new row              (7,949 calls)
% 2.16/2.38  ;     1.128  60%   Resolution                   (428 calls)
% 2.16/2.38  ;     0.001   0%   Paramodulation               (214 calls)
% 2.16/2.38  ;     0.006   0%   Condensing                   (1,075 calls)
% 2.16/2.38  ;     0.086   5%   Forward subsumption          (1,075 calls)
% 2.16/2.38  ;     0.027   1%   Backward subsumption         (1,022 calls)
% 2.16/2.38  ;     0.004   0%   Clause clause subsumption    (1,773 calls)
% 2.16/2.38  ;     0.157   8%   Forward simplification       (7,949 calls)
% 2.16/2.38  ;     0.123   7%   Backward simplification      (3,821 calls)
% 2.16/2.38  ;     0.021   1%   Ordering                     (5,583 calls)
% 2.16/2.38  ;     0.001   0%   Sortal reasoning             (32 calls)
% 2.16/2.38  ;     0.001   0%   Purity testing               (1 call)
% 2.16/2.38  ;     0.044   2%   Other
% 2.16/2.38  ;     1.885        Total
% 2.16/2.38  ;     1.905        Real time
% 2.16/2.38  ; 
% 2.16/2.38  ; Term-hash-array has 7,769 terms in all.
% 2.16/2.38  ; Feature-vector-row-index has 799 entries (985 at peak, 1,022 added, 223 deleted).
% 2.16/2.38  ; Feature-vector-row-index has 5,628 nodes (7,137 at peak, 7,505 added, 1,877 deleted).
% 2.16/2.38  ;  Retrieved 1,801 possibly forward subsuming rows in 1,075 calls.
% 2.16/2.38  ;  Retrieved 840 possibly backward subsumed rows in 1,022 calls.
% 2.16/2.38  ; Path-index has 3,457 entries (6,387 at peak, 8,445 added, 4,988 deleted).
% 2.16/2.38  ; Path-index has 1,641 nodes (1,785 at peak, 1,908 added, 267 deleted).
% 2.16/2.38  ; Trie-index has 3,457 entries (6,387 at peak, 8,445 added, 4,988 deleted).
% 2.16/2.38  ; Trie-index has 9,671 nodes (20,084 at peak, 27,779 added, 18,108 deleted).
% 2.16/2.38  ; Retrieved 11,282 generalization terms in 47,483 calls.
% 2.16/2.38  ; Retrieved 2,798 instance terms in 2,798 calls.
% 2.16/2.38  ; Retrieved 3,496,985 unifiable terms in 109,362 calls.
% 2.16/2.38  ; 
% 2.16/2.38  ; The agenda of backward simplifiable rows to process has 1026 entries:
% 2.16/2.38  ;  1026 with value 0
% 2.16/2.38  ; The agenda of rows to process has 2047 entries:
% 2.16/2.38  ;   257 with value 19             10 with value 36               5 with value 42
% 2.16/2.38  ;   680 with value 21             10 with value 37              29 with value 43
% 2.16/2.38  ;   101 with value 22              5 with value 38               5 with value 44
% 2.16/2.38  ;   352 with value 23             26 with value 39               5 with value 45
% 2.16/2.38  ;   321 with value 24              5 with value 40              21 with value 47
% 2.16/2.38  ;   192 with value 26              5 with value 41               8 with value 51
% 2.16/2.38  ;    10 with value 34
% 2.16/2.38  ; The agenda of input rows to give has 3 entries:
% 2.16/2.38  ;     1 with value 4               1 with value 7                1 with value 10
% 2.16/2.38  ; The agenda of rows to give has 1435 entries:
% 2.16/2.38  ;     5 with value (4 6)          66 with value (4 21)          33 with value (4 37)
% 2.16/2.38  ;    26 with value (4 7)          23 with value (4 22)           8 with value (4 38)
% 2.16/2.38  ;    41 with value (4 8)          28 with value (4 23)          46 with value (4 39)
% 2.16/2.38  ;     7 with value (4 9)          20 with value (4 24)          12 with value (4 40)
% 2.16/2.38  ;    62 with value (4 10)         10 with value (4 25)          11 with value (4 41)
% 2.16/2.38  ;    98 with value (4 11)         12 with value (4 26)           6 with value (4 42)
% 2.16/2.38  ;    37 with value (4 12)         36 with value (4 27)          25 with value (4 43)
% 2.16/2.38  ;    75 with value (4 13)         39 with value (4 29)          12 with value (4 44)
% 2.16/2.38  ;   115 with value (4 14)          4 with value (4 30)           9 with value (4 45)
% 2.16/2.38  ;    88 with value (4 15)          5 with value (4 31)          19 with value (4 47)
% 2.16/2.38  ;    71 with value (4 16)          1 with value (4 32)           1 with value (4 48)
% 2.16/2.38  ;   129 with value (4 17)         24 with value (4 33)           1 with value (4 49)
% 2.16/2.38  ;    36 with value (4 18)         14 with value (4 34)           1 with value (4 50)
% 2.16/2.38  ;   110 with value (4 19)         21 with value (4 35)           5 with value (4 51)
% 2.16/2.38  ;    19 with value (4 20)         23 with value (4 36)           1 with value (4 55)
% 2.16/2.38  Evaluation took:
% 2.16/2.38    1.905 seconds of real time
% 2.16/2.38    1.812637 seconds of user run time
% 2.16/2.38    0.092959 seconds of system run time
% 2.16/2.38    [Run times include 0.163 seconds GC run time.]
% 2.16/2.38    0 calls to %EVAL
% 2.16/2.38    0 page faults and
% 2.16/2.38    164,192,144 bytes consed.
% 2.16/2.38  :PROOF-FOUND
% 2.16/2.38  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T09:50:35
% 2.16/2.38  :PROOF-FOUND
% 2.16/2.38  * 
%------------------------------------------------------------------------------