TSTP Solution File: BOO038-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : BOO038-1 : TPTP v8.1.0. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n024.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 : Thu Jul 14 23:49:03 EDT 2022

% Result   : Unsatisfiable 13.39s 13.59s
% Output   : Refutation 13.47s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   49
%            Number of leaves      :    2
% Syntax   : Number of clauses     :  181 ( 179 unt;   0 nHn;   6 RR)
%            Number of literals    :  184 ( 183 equ;   8 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   12 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    5 (   5 usr;   3 con; 0-2 aty)
%            Number of variables   :  430 (  79 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(dn1,axiom,
    inverse(add(inverse(add(inverse(add(X,Y)),Z)),inverse(add(X,inverse(add(inverse(Z),inverse(add(Z,U)))))))) = Z,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',dn1) ).

cnf(huntinton,negated_conjecture,
    ( add(b,a) != add(a,b)
    | add(add(a,b),c) != add(a,add(b,c))
    | add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) != a ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',huntinton) ).

cnf(3,plain,
    inverse(add(inverse(add(X,Y)),inverse(add(inverse(add(inverse(add(Z,U)),X)),inverse(add(inverse(Y),inverse(add(Y,V)))))))) = Y,
    inference('PARAMODULATE',[status(thm)],[dn1,dn1,theory(equality)]) ).

cnf(8,plain,
    inverse(add(inverse(add(X,inverse(X))),X)) = inverse(X),
    inference('PARAMODULATE',[status(thm)],[3,dn1,theory(equality)]) ).

cnf(10,plain,
    inverse(add(inverse(X),inverse(add(X,inverse(add(inverse(X),inverse(add(X,Y)))))))) = X,
    inference('PARAMODULATE',[status(thm)],[dn1,8,theory(equality)]) ).

cnf(16,plain,
    inverse(add(inverse(X),inverse(add(X,X)))) = X,
    inference('PARAMODULATE',[status(thm)],[10,10,theory(equality)]) ).

cnf(17,plain,
    inverse(add(inverse(add(inverse(add(X,Y)),Z)),inverse(add(X,Z)))) = Z,
    inference('PARAMODULATE',[status(thm)],[dn1,10,theory(equality)]) ).

cnf(30,plain,
    inverse(add(X,inverse(add(add(inverse(X),inverse(add(X,X))),add(inverse(X),inverse(add(X,X))))))) = add(inverse(X),inverse(add(X,X))),
    inference('PARAMODULATE',[status(thm)],[16,16,theory(equality)]) ).

cnf(35,plain,
    inverse(add(X,inverse(add(add(inverse(X),inverse(add(X,inverse(add(inverse(X),inverse(add(X,Y))))))),add(inverse(X),inverse(add(X,inverse(add(inverse(X),inverse(add(X,Y))))))))))) = add(inverse(X),inverse(add(X,inverse(add(inverse(X),inverse(add(X,Y))))))),
    inference('PARAMODULATE',[status(thm)],[16,10,theory(equality)]) ).

cnf(37,plain,
    inverse(add(inverse(add(X,Y)),inverse(add(inverse(X),Y)))) = Y,
    inference('PARAMODULATE',[status(thm)],[17,16,theory(equality)]) ).

cnf(51,plain,
    inverse(add(X,inverse(add(add(inverse(add(inverse(add(Y,Z)),X)),inverse(add(Y,X))),add(inverse(add(inverse(add(Y,Z)),X)),inverse(add(Y,X))))))) = add(inverse(add(inverse(add(Y,Z)),X)),inverse(add(Y,X))),
    inference('PARAMODULATE',[status(thm)],[16,17,theory(equality)]) ).

cnf(55,plain,
    inverse(add(inverse(add(add(X,inverse(X)),X)),inverse(X))) = X,
    inference('PARAMODULATE',[status(thm)],[37,8,theory(equality)]) ).

cnf(56,plain,
    inverse(add(inverse(add(X,Y)),inverse(add(inverse(add(Z,X)),Y)))) = Y,
    inference('PARAMODULATE',[status(thm)],[17,37,theory(equality)]) ).

cnf(79,plain,
    inverse(add(X,inverse(add(add(inverse(add(Y,X)),inverse(add(inverse(Y),X))),add(inverse(add(Y,X)),inverse(add(inverse(Y),X))))))) = add(inverse(add(Y,X)),inverse(add(inverse(Y),X))),
    inference('PARAMODULATE',[status(thm)],[16,37,theory(equality)]) ).

cnf(102,plain,
    inverse(add(inverse(add(inverse(X),X)),inverse(X))) = X,
    inference('PARAMODULATE',[status(thm)],[56,8,theory(equality)]) ).

cnf(103,plain,
    inverse(add(inverse(add(inverse(X),Y)),inverse(add(X,Y)))) = Y,
    inference('PARAMODULATE',[status(thm)],[56,55,theory(equality)]) ).

cnf(125,plain,
    inverse(add(X,inverse(add(add(inverse(add(Y,X)),inverse(add(inverse(add(Z,Y)),X))),add(inverse(add(Y,X)),inverse(add(inverse(add(Z,Y)),X))))))) = add(inverse(add(Y,X)),inverse(add(inverse(add(Z,Y)),X))),
    inference('PARAMODULATE',[status(thm)],[16,56,theory(equality)]) ).

cnf(130,plain,
    inverse(add(X,inverse(add(inverse(X),inverse(X))))) = inverse(X),
    inference('PARAMODULATE',[status(thm)],[17,102,theory(equality)]) ).

cnf(185,plain,
    inverse(add(X,inverse(add(inverse(Y),inverse(add(inverse(inverse(add(Y,X))),inverse(add(inverse(add(Y,X)),Z)))))))) = inverse(add(Y,X)),
    inference('PARAMODULATE',[status(thm)],[dn1,103,theory(equality)]) ).

cnf(190,plain,
    inverse(add(X,inverse(add(add(inverse(add(inverse(Y),X)),inverse(add(Y,X))),add(inverse(add(inverse(Y),X)),inverse(add(Y,X))))))) = add(inverse(add(inverse(Y),X)),inverse(add(Y,X))),
    inference('PARAMODULATE',[status(thm)],[16,103,theory(equality)]) ).

cnf(197,plain,
    inverse(add(inverse(X),inverse(X))) = X,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,130,theory(equality)]),130,theory(equality)]) ).

cnf(198,plain,
    inverse(add(X,X)) = inverse(X),
    inference('REWRITE',[status(thm)],[130,197,theory(equality)]) ).

cnf(199,plain,
    inverse(inverse(X)) = X,
    inference('REWRITE',[status(thm)],[197,198,theory(equality)]) ).

cnf(207,plain,
    inverse(add(X,inverse(add(inverse(Y),inverse(add(add(Y,X),inverse(add(inverse(add(Y,X)),Z)))))))) = inverse(add(Y,X)),
    inference('REWRITE',[status(thm)],[185,199,theory(equality)]) ).

cnf(213,plain,
    inverse(X) = add(inverse(X),inverse(add(X,inverse(add(inverse(X),inverse(add(X,Y))))))),
    inference('REWRITE',[status(thm)],[35,10,198,theory(equality)]) ).

cnf(214,plain,
    inverse(X) = add(inverse(add(inverse(Y),X)),inverse(add(Y,X))),
    inference('REWRITE',[status(thm)],[190,103,198,theory(equality)]) ).

cnf(215,plain,
    inverse(X) = add(inverse(add(Y,X)),inverse(add(inverse(add(Z,Y)),X))),
    inference('REWRITE',[status(thm)],[125,56,198,theory(equality)]) ).

cnf(216,plain,
    inverse(X) = add(inverse(add(Y,X)),inverse(add(inverse(Y),X))),
    inference('REWRITE',[status(thm)],[79,37,198,theory(equality)]) ).

cnf(217,plain,
    inverse(X) = add(inverse(add(inverse(add(Y,Z)),X)),inverse(add(Y,X))),
    inference('REWRITE',[status(thm)],[51,17,198,theory(equality)]) ).

cnf(228,plain,
    inverse(X) = add(inverse(X),inverse(X)),
    inference('REWRITE',[status(thm)],[30,199,198,theory(equality)]) ).

cnf(232,plain,
    X = add(X,X),
    inference('PARAMODULATE',[status(thm)],[228,199,theory(equality)]) ).

cnf(236,plain,
    add(inverse(X),Y) = add(inverse(add(add(X,Y),inverse(add(inverse(X),Y)))),Y),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[216,216,theory(equality)]),199,theory(equality)]) ).

cnf(237,plain,
    add(inverse(X),Y) = add(Y,inverse(add(add(X,Y),inverse(add(inverse(X),Y))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[216,216,theory(equality)]),199,theory(equality)]) ).

cnf(243,plain,
    add(X,Y) = add(Y,inverse(add(add(inverse(X),Y),inverse(add(X,Y))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[214,214,theory(equality)]),199,theory(equality)]) ).

cnf(247,plain,
    add(X,Y) = add(Y,inverse(add(inverse(add(X,Z)),inverse(add(X,Y))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,217,theory(equality)]),199,theory(equality)]) ).

cnf(249,plain,
    add(inverse(X),Y) = add(Y,inverse(add(X,inverse(add(inverse(X),Y))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,216,theory(equality)]),199,theory(equality)]) ).

cnf(250,plain,
    add(X,Y) = add(Y,inverse(add(inverse(X),inverse(add(X,Y))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,214,theory(equality)]),199,theory(equality)]) ).

cnf(283,plain,
    inverse(X) = add(inverse(add(inverse(add(Y,Z)),X)),inverse(add(Z,X))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[215,217,theory(equality)]),199,theory(equality)]) ).

cnf(284,plain,
    add(X,Y) = add(inverse(add(Y,inverse(add(X,Y)))),Y),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[215,217,theory(equality)]),199,theory(equality)]) ).

cnf(288,plain,
    add(inverse(add(X,Y)),Z) = add(Z,inverse(add(Y,inverse(add(inverse(add(X,Y)),Z))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,215,theory(equality)]),199,theory(equality)]) ).

cnf(306,plain,
    inverse(X) = add(inverse(add(Y,X)),inverse(X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,284,theory(equality)]),232,theory(equality)]) ).

cnf(311,plain,
    X = add(inverse(add(Y,inverse(X))),X),
    inference('PARAMODULATE',[status(thm)],[306,199,theory(equality)]) ).

cnf(312,plain,
    X = add(X,inverse(add(Y,inverse(X)))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,306,theory(equality)]),199,theory(equality)]) ).

cnf(313,plain,
    add(X,Y) = add(Y,add(X,Y)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[306,217,theory(equality)]),199,theory(equality)]) ).

cnf(318,plain,
    inverse(X) = add(inverse(X),inverse(add(Y,X))),
    inference('PARAMODULATE',[status(thm)],[217,311,theory(equality)]) ).

cnf(319,plain,
    add(X,Y) = add(add(X,Y),Y),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[312,217,theory(equality)]),199,theory(equality)]) ).

cnf(331,plain,
    add(X,Y) = add(Y,inverse(add(inverse(add(Z,X)),inverse(add(X,Y))))),
    inference('PARAMODULATE',[status(thm)],[247,247,theory(equality)]) ).

cnf(332,plain,
    add(X,add(X,Y)) = add(X,Y),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[247,318,theory(equality)]),232,199,theory(equality)]) ).

cnf(334,plain,
    inverse(X) = add(inverse(add(inverse(Y),X)),inverse(add(inverse(add(inverse(add(Y,X)),Z)),X))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[247,216,theory(equality)]),199,theory(equality)]) ).

cnf(351,plain,
    inverse(X) = add(inverse(add(Y,X)),inverse(add(inverse(add(Y,Z)),X))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[249,217,theory(equality)]),319,199,theory(equality)]) ).

cnf(355,plain,
    add(X,inverse(add(inverse(X),inverse(add(X,Y))))) = inverse(add(inverse(X),inverse(add(X,Y)))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[247,249,theory(equality)]),232,theory(equality)]) ).

cnf(361,plain,
    inverse(X) = add(inverse(X),inverse(add(X,Y))),
    inference('REWRITE',[status(thm)],[213,332,199,355,theory(equality)]) ).

cnf(362,plain,
    add(X,Y) = add(Y,X),
    inference('REWRITE',[status(thm)],[250,199,361,theory(equality)]) ).

cnf(363,plain,
    ( add(add(a,b),c) != add(a,add(b,c))
    | add(inverse(add(inverse(a),b)),inverse(add(inverse(a),inverse(b)))) != a ),
    inference('REWRITE',[status(thm)],[huntinton,362,theory(equality)]) ).

cnf(372,plain,
    add(X,Y) = add(add(X,Y),X),
    inference('PARAMODULATE',[status(thm)],[319,362,theory(equality)]) ).

cnf(375,plain,
    inverse(X) = add(inverse(add(X,Y)),inverse(X)),
    inference('PARAMODULATE',[status(thm)],[306,362,theory(equality)]) ).

cnf(376,plain,
    X = add(X,inverse(add(inverse(X),Y))),
    inference('PARAMODULATE',[status(thm)],[312,362,theory(equality)]) ).

cnf(377,plain,
    inverse(add(X,Y)) = inverse(add(Y,X)),
    inference('REWRITE',[status(thm)],[207,199,361,376,theory(equality)]) ).

cnf(387,plain,
    X = add(inverse(add(inverse(X),Y)),X),
    inference('PARAMODULATE',[status(thm)],[311,362,theory(equality)]) ).

cnf(388,plain,
    inverse(X) = add(inverse(add(X,Y)),inverse(add(inverse(Y),X))),
    inference('PARAMODULATE',[status(thm)],[216,362,theory(equality)]) ).

cnf(389,plain,
    inverse(X) = add(inverse(add(inverse(Y),X)),inverse(add(X,Y))),
    inference('PARAMODULATE',[status(thm)],[214,362,theory(equality)]) ).

cnf(390,plain,
    inverse(X) = add(inverse(add(Y,X)),inverse(add(X,inverse(Y)))),
    inference('PARAMODULATE',[status(thm)],[216,362,theory(equality)]) ).

cnf(391,plain,
    inverse(X) = add(inverse(add(X,inverse(Y))),inverse(add(Y,X))),
    inference('PARAMODULATE',[status(thm)],[214,362,theory(equality)]) ).

cnf(396,plain,
    inverse(X) = add(inverse(add(X,Y)),inverse(add(inverse(add(Z,Y)),X))),
    inference('PARAMODULATE',[status(thm)],[215,362,theory(equality)]) ).

cnf(400,plain,
    add(X,Y) = add(inverse(add(inverse(add(X,Z)),inverse(add(X,Y)))),Y),
    inference('PARAMODULATE',[status(thm)],[247,362,theory(equality)]) ).

cnf(404,plain,
    add(add(a,b),c) != add(a,add(b,c)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[363,362,theory(equality)]),199,390,theory(equality)]) ).

cnf(407,plain,
    add(X,Y) = add(inverse(add(inverse(add(inverse(X),Z)),inverse(add(X,Y)))),X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,361,theory(equality)]),199,theory(equality)]) ).

cnf(411,plain,
    inverse(add(X,Y)) = add(inverse(add(X,Y)),inverse(add(add(Y,X),Z))),
    inference('PARAMODULATE',[status(thm)],[361,377,theory(equality)]) ).

cnf(415,plain,
    add(X,Y) = add(add(X,Y),inverse(add(Z,inverse(add(Y,X))))),
    inference('PARAMODULATE',[status(thm)],[312,377,theory(equality)]) ).

cnf(424,plain,
    add(add(a,b),c) != add(a,add(c,b)),
    inference('PARAMODULATE',[status(thm)],[404,362,theory(equality)]) ).

cnf(426,plain,
    add(X,Y) = add(add(X,Y),inverse(add(inverse(add(Y,X)),Z))),
    inference('PARAMODULATE',[status(thm)],[376,377,theory(equality)]) ).

cnf(429,plain,
    add(X,Y) = add(inverse(add(inverse(add(Y,X)),Z)),add(X,Y)),
    inference('PARAMODULATE',[status(thm)],[387,377,theory(equality)]) ).

cnf(435,plain,
    add(add(a,b),c) != add(add(c,b),a),
    inference('PARAMODULATE',[status(thm)],[424,362,theory(equality)]) ).

cnf(441,plain,
    inverse(X) = add(inverse(add(X,Y)),inverse(add(X,inverse(Y)))),
    inference('PARAMODULATE',[status(thm)],[388,362,theory(equality)]) ).

cnf(442,plain,
    inverse(X) = add(inverse(add(X,add(Y,Z))),inverse(add(inverse(add(Z,Y)),X))),
    inference('PARAMODULATE',[status(thm)],[388,377,theory(equality)]) ).

cnf(444,plain,
    add(X,Y) = add(inverse(add(inverse(add(X,Y)),add(inverse(X),Y))),Y),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[388,214,theory(equality)]),199,theory(equality)]) ).

cnf(451,plain,
    add(X,Y) = add(X,inverse(add(add(inverse(Y),X),inverse(add(X,Y))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[388,388,theory(equality)]),199,theory(equality)]) ).

cnf(459,plain,
    inverse(X) = add(inverse(add(X,inverse(Y))),inverse(add(X,Y))),
    inference('PARAMODULATE',[status(thm)],[389,362,theory(equality)]) ).

cnf(463,plain,
    add(X,Y) = add(X,inverse(add(inverse(add(X,Y)),add(inverse(Y),X)))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[389,389,theory(equality)]),199,theory(equality)]) ).

cnf(466,plain,
    add(X,Y) = add(Y,inverse(add(inverse(add(X,Y)),add(inverse(X),Y)))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[389,214,theory(equality)]),199,theory(equality)]) ).

cnf(499,plain,
    inverse(X) = add(inverse(add(X,inverse(add(Y,Z)))),inverse(add(Z,X))),
    inference('PARAMODULATE',[status(thm)],[283,377,theory(equality)]) ).

cnf(500,plain,
    inverse(X) = add(inverse(add(inverse(add(Y,Z)),X)),inverse(add(X,Z))),
    inference('PARAMODULATE',[status(thm)],[283,377,theory(equality)]) ).

cnf(562,plain,
    inverse(X) = add(inverse(add(X,Y)),inverse(add(inverse(add(Y,Z)),X))),
    inference('PARAMODULATE',[status(thm)],[351,377,theory(equality)]) ).

cnf(563,plain,
    inverse(X) = add(inverse(add(Y,X)),inverse(add(X,inverse(add(Y,Z))))),
    inference('PARAMODULATE',[status(thm)],[351,377,theory(equality)]) ).

cnf(576,plain,
    add(inverse(X),Y) = add(Y,inverse(add(inverse(add(inverse(add(X,Y)),Z)),inverse(add(inverse(X),Y))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[351,216,theory(equality)]),199,theory(equality)]) ).

cnf(581,plain,
    add(inverse(X),Y) = add(Y,inverse(add(inverse(add(inverse(add(Y,X)),Z)),inverse(add(inverse(X),Y))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[351,388,theory(equality)]),199,theory(equality)]) ).

cnf(606,plain,
    add(X,Y) = add(X,inverse(add(add(X,inverse(Y)),inverse(add(X,Y))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[391,441,theory(equality)]),199,theory(equality)]) ).

cnf(630,plain,
    add(X,Y) = add(inverse(add(inverse(add(X,Y)),inverse(add(inverse(X),Z)))),X),
    inference('PARAMODULATE',[status(thm)],[407,377,theory(equality)]) ).

cnf(644,plain,
    inverse(add(X,Y)) = add(inverse(add(X,Y)),inverse(add(Y,X))),
    inference('PARAMODULATE',[status(thm)],[411,232,theory(equality)]) ).

cnf(667,plain,
    add(X,Y) = add(add(X,Y),add(Y,X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[312,644,theory(equality)]),199,theory(equality)]) ).

cnf(668,plain,
    add(inverse(add(X,Y)),Z) = add(Z,inverse(add(Y,X))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[331,644,theory(equality)]),426,199,theory(equality)]) ).

cnf(669,plain,
    add(add(X,Y),Z) = add(Z,add(Y,X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[331,667,theory(equality)]),199,411,theory(equality)]) ).

cnf(774,plain,
    add(inverse(add(X,Y)),Z) = add(inverse(add(Y,X)),add(inverse(add(X,Y)),Z)),
    inference('PARAMODULATE',[status(thm)],[313,668,theory(equality)]) ).

cnf(865,plain,
    inverse(X) = add(inverse(add(X,inverse(add(Y,Z)))),inverse(add(X,Z))),
    inference('PARAMODULATE',[status(thm)],[499,362,theory(equality)]) ).

cnf(866,plain,
    add(inverse(add(X,Y)),inverse(add(X,inverse(add(Z,Y))))) = inverse(X),
    inference('PARAMODULATE',[status(thm)],[668,499,theory(equality)]) ).

cnf(919,plain,
    add(X,Y) = add(inverse(add(inverse(add(Z,Y)),inverse(add(X,Y)))),X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[351,500,theory(equality)]),199,theory(equality)]) ).

cnf(949,plain,
    inverse(X) = add(inverse(add(X,Y)),inverse(add(X,inverse(add(Y,Z))))),
    inference('PARAMODULATE',[status(thm)],[562,362,theory(equality)]) ).

cnf(950,plain,
    add(X,Y) = add(inverse(add(inverse(add(X,Y)),inverse(add(Z,Y)))),X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[562,500,theory(equality)]),199,theory(equality)]) ).

cnf(986,plain,
    add(X,Y) = add(inverse(add(inverse(add(Y,Z)),inverse(add(X,Y)))),X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[563,562,theory(equality)]),199,theory(equality)]) ).

cnf(1104,plain,
    add(add(inverse(X),Y),inverse(add(X,Y))) = add(inverse(add(inverse(Y),inverse(add(add(inverse(X),Y),inverse(add(X,Y)))))),inverse(add(X,Y))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[236,214,theory(equality)]),199,theory(equality)]) ).

cnf(1110,plain,
    add(add(inverse(X),Y),inverse(add(Y,X))) = add(inverse(add(inverse(Y),inverse(add(add(inverse(X),Y),inverse(add(Y,X)))))),inverse(add(Y,X))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[236,389,theory(equality)]),199,theory(equality)]) ).

cnf(1167,plain,
    add(add(inverse(X),Y),inverse(add(X,Y))) = add(inverse(add(X,Y)),inverse(add(inverse(Y),inverse(add(add(inverse(X),Y),inverse(add(X,Y))))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[237,214,theory(equality)]),199,theory(equality)]) ).

cnf(2734,plain,
    add(inverse(add(X,Y)),add(inverse(X),Y)) = add(inverse(add(inverse(add(inverse(add(X,Y)),add(inverse(X),Y))),inverse(Y))),inverse(add(X,Y))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[459,444,theory(equality)]),199,theory(equality)]) ).

cnf(2878,plain,
    add(inverse(add(X,Y)),add(Y,inverse(add(Z,X)))) = add(inverse(add(X,Y)),inverse(add(inverse(Y),inverse(add(inverse(add(X,Y)),add(Y,inverse(add(Z,X)))))))),
    inference('PARAMODULATE',[status(thm)],[451,499,theory(equality)]) ).

cnf(2904,plain,
    add(inverse(X),Y) = add(inverse(add(add(inverse(Y),inverse(X)),inverse(add(inverse(X),Y)))),inverse(add(add(X,inverse(add(add(inverse(Y),inverse(X)),inverse(add(inverse(X),Y))))),inverse(add(inverse(X),Y))))),
    inference('PARAMODULATE',[status(thm)],[237,451,theory(equality)]) ).

cnf(3031,plain,
    add(inverse(add(X,Y)),add(inverse(add(Z,X)),Y)) = add(inverse(add(X,Y)),inverse(add(inverse(add(inverse(add(X,Y)),add(inverse(add(Z,X)),Y))),inverse(Y)))),
    inference('PARAMODULATE',[status(thm)],[463,283,theory(equality)]) ).

cnf(4979,plain,
    add(inverse(add(X,Y)),add(inverse(X),Y)) = add(inverse(add(inverse(Y),inverse(add(inverse(add(X,Y)),add(inverse(X),Y))))),inverse(add(inverse(add(inverse(add(X,Y)),Z)),inverse(add(inverse(add(X,Y)),add(inverse(X),Y)))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[334,466,theory(equality)]),199,theory(equality)]) ).

cnf(4981,plain,
    add(add(inverse(X),Y),inverse(add(Y,X))) = add(inverse(add(inverse(Y),inverse(add(add(inverse(X),Y),inverse(add(Y,X)))))),inverse(add(inverse(add(inverse(add(Y,X)),Z)),inverse(add(add(inverse(X),Y),inverse(add(Y,X))))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[334,451,theory(equality)]),199,theory(equality)]) ).

cnf(5492,plain,
    add(inverse(add(X,Y)),add(X,inverse(add(Y,Z)))) = add(inverse(add(X,Y)),inverse(add(inverse(X),inverse(add(inverse(add(X,Y)),add(X,inverse(add(Y,Z)))))))),
    inference('PARAMODULATE',[status(thm)],[606,949,theory(equality)]) ).

cnf(6779,plain,
    add(inverse(add(X,inverse(add(X,Y)))),Y) = Y,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[288,351,theory(equality)]),232,199,theory(equality)]) ).

cnf(6943,plain,
    add(X,inverse(X)) = add(add(inverse(X),Y),X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[630,6779,theory(equality)]),199,376,theory(equality)]) ).

cnf(6968,plain,
    add(inverse(add(inverse(add(inverse(add(X,Y)),inverse(add(X,Z)))),inverse(add(X,Z)))),Z) = Z,
    inference('PARAMODULATE',[status(thm)],[6779,400,theory(equality)]) ).

cnf(6970,plain,
    add(inverse(add(inverse(add(inverse(add(X,Y)),inverse(add(Z,Y)))),inverse(add(Z,Y)))),Z) = Z,
    inference('PARAMODULATE',[status(thm)],[6779,919,theory(equality)]) ).

cnf(6972,plain,
    add(inverse(add(inverse(add(inverse(add(X,Y)),inverse(add(Z,X)))),inverse(add(Z,X)))),Z) = Z,
    inference('PARAMODULATE',[status(thm)],[6779,986,theory(equality)]) ).

cnf(6990,plain,
    add(inverse(add(inverse(add(X,inverse(add(Y,Z)))),X)),inverse(add(Z,X))) = inverse(add(Z,X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6779,499,theory(equality)]),199,theory(equality)]) ).

cnf(7030,plain,
    add(inverse(add(add(X,Y),inverse(add(X,Y)))),inverse(add(Z,inverse(add(Y,X))))) = inverse(add(Z,inverse(add(Y,X)))),
    inference('PARAMODULATE',[status(thm)],[6779,415,theory(equality)]) ).

cnf(7043,plain,
    add(X,inverse(add(X,inverse(Y)))) = add(Y,inverse(add(Y,inverse(add(X,inverse(add(X,inverse(Y)))))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[391,6779,theory(equality)]),199,theory(equality)]) ).

cnf(7046,plain,
    add(inverse(add(X,inverse(add(Y,X)))),inverse(add(add(inverse(Y),X),inverse(add(Y,X))))) = inverse(add(add(inverse(Y),X),inverse(add(Y,X)))),
    inference('PARAMODULATE',[status(thm)],[6779,243,theory(equality)]) ).

cnf(7087,plain,
    add(inverse(add(X,inverse(add(inverse(Y),X)))),inverse(add(add(Y,X),inverse(add(inverse(Y),X))))) = inverse(add(add(Y,X),inverse(add(inverse(Y),X)))),
    inference('PARAMODULATE',[status(thm)],[6779,237,theory(equality)]) ).

cnf(7116,plain,
    add(inverse(X),X) = add(add(X,Y),inverse(X)),
    inference('PARAMODULATE',[status(thm)],[6943,199,theory(equality)]) ).

cnf(7117,plain,
    add(X,inverse(X)) = add(X,add(inverse(X),Y)),
    inference('PARAMODULATE',[status(thm)],[362,6943,theory(equality)]) ).

cnf(7119,plain,
    add(X,inverse(X)) = add(X,add(Y,inverse(X))),
    inference('PARAMODULATE',[status(thm)],[669,6943,theory(equality)]) ).

cnf(7122,plain,
    add(add(X,Y),inverse(add(X,Y))) = add(inverse(Y),add(X,Y)),
    inference('PARAMODULATE',[status(thm)],[6943,216,theory(equality)]) ).

cnf(7125,plain,
    add(inverse(add(inverse(X),add(Y,X))),inverse(add(Z,inverse(add(X,Y))))) = inverse(add(Z,inverse(add(X,Y)))),
    inference('REWRITE',[status(thm)],[7030,7122,theory(equality)]) ).

cnf(7127,plain,
    add(inverse(X),add(Y,X)) = add(inverse(Y),add(Y,X)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6943,375,theory(equality)]),7122,theory(equality)]) ).

cnf(7133,plain,
    add(inverse(X),add(inverse(Y),X)) = add(Y,inverse(Y)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6943,387,theory(equality)]),7117,7122,theory(equality)]) ).

cnf(7134,plain,
    add(X,inverse(X)) = add(inverse(Y),add(Y,inverse(X))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6943,391,theory(equality)]),7119,199,7122,theory(equality)]) ).

cnf(7159,plain,
    inverse(add(inverse(X),Y)) = add(inverse(add(X,inverse(X))),inverse(add(inverse(add(X,Z)),add(inverse(X),Y)))),
    inference('PARAMODULATE',[status(thm)],[562,6943,theory(equality)]) ).

cnf(7185,plain,
    add(inverse(add(X,inverse(X))),inverse(add(add(inverse(X),Y),inverse(add(Z,X))))) = inverse(add(inverse(X),Y)),
    inference('PARAMODULATE',[status(thm)],[866,6943,theory(equality)]) ).

cnf(7209,plain,
    inverse(add(inverse(add(X,Y)),Z)) = add(inverse(add(inverse(Y),add(X,Y))),inverse(add(inverse(add(X,Y)),Z))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[442,6943,theory(equality)]),774,7122,theory(equality)]) ).

cnf(7233,plain,
    add(X,inverse(X)) = add(inverse(Y),add(X,Y)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6943,630,theory(equality)]),7117,7133,7119,199,7122,theory(equality)]) ).

cnf(7240,plain,
    add(inverse(add(X,inverse(X))),inverse(add(Y,inverse(add(Z,X))))) = inverse(add(Y,inverse(add(Z,X)))),
    inference('REWRITE',[status(thm)],[7125,7233,theory(equality)]) ).

cnf(7241,plain,
    inverse(add(add(inverse(X),Y),inverse(add(Z,X)))) = inverse(add(inverse(X),Y)),
    inference('REWRITE',[status(thm)],[7185,7240,theory(equality)]) ).

cnf(7294,plain,
    add(inverse(X),Y) = add(inverse(add(inverse(Y),inverse(X))),inverse(X)),
    inference('REWRITE',[status(thm)],[2904,376,312,7241,theory(equality)]) ).

cnf(7309,plain,
    add(inverse(add(inverse(add(X,Y)),add(Y,Z))),X) = X,
    inference('REWRITE',[status(thm)],[6972,7294,theory(equality)]) ).

cnf(7310,plain,
    add(inverse(add(inverse(add(X,Y)),add(Z,Y))),X) = X,
    inference('REWRITE',[status(thm)],[6970,7294,theory(equality)]) ).

cnf(7312,plain,
    add(inverse(add(inverse(add(X,Y)),add(X,Z))),Y) = Y,
    inference('REWRITE',[status(thm)],[6968,7294,theory(equality)]) ).

cnf(7323,plain,
    add(add(inverse(X),Y),inverse(add(Y,X))) = add(Y,inverse(add(Y,X))),
    inference('REWRITE',[status(thm)],[1110,199,318,7241,theory(equality)]) ).

cnf(7332,plain,
    add(X,inverse(add(X,Y))) = add(inverse(Y),X),
    inference('REWRITE',[status(thm)],[4981,581,199,318,7323,7241,theory(equality)]) ).

cnf(7341,plain,
    add(X,Y) = add(X,inverse(add(inverse(Y),X))),
    inference('REWRITE',[status(thm)],[7043,199,7332,theory(equality)]) ).

cnf(7343,plain,
    inverse(add(X,Y)) = inverse(add(add(Y,X),inverse(add(inverse(Y),X)))),
    inference('REWRITE',[status(thm)],[7087,411,7341,theory(equality)]) ).

cnf(7388,plain,
    add(inverse(X),Y) = add(inverse(add(Y,X)),Y),
    inference('REWRITE',[status(thm)],[236,7343,theory(equality)]) ).

cnf(7389,plain,
    add(inverse(add(add(X,Y),Z)),inverse(add(Y,Z))) = inverse(add(Y,Z)),
    inference('REWRITE',[status(thm)],[6990,199,7388,theory(equality)]) ).

cnf(7445,plain,
    add(X,inverse(X)) = add(inverse(X),add(X,Y)),
    inference('REWRITE',[status(thm)],[7127,7233,theory(equality)]) ).

cnf(7446,plain,
    add(X,inverse(X)) = add(Y,inverse(Y)),
    inference('REWRITE',[status(thm)],[7134,7445,theory(equality)]) ).

cnf(7452,plain,
    inverse(add(inverse(add(X,Y)),Z)) = add(inverse(add(X,inverse(X))),inverse(add(inverse(add(X,Y)),Z))),
    inference('REWRITE',[status(thm)],[7209,7233,theory(equality)]) ).

cnf(7453,plain,
    inverse(add(inverse(X),Y)) = inverse(add(inverse(add(X,Z)),add(inverse(X),Y))),
    inference('REWRITE',[status(thm)],[7159,7452,theory(equality)]) ).

cnf(7479,plain,
    add(inverse(add(X,Y)),add(inverse(X),Y)) = add(Y,inverse(add(X,Y))),
    inference('REWRITE',[status(thm)],[2734,199,306,7453,theory(equality)]) ).

cnf(7495,plain,
    add(X,inverse(add(Y,X))) = add(inverse(Y),X),
    inference('REWRITE',[status(thm)],[4979,576,199,318,7479,7453,theory(equality)]) ).

cnf(7496,plain,
    inverse(add(inverse(X),Y)) = inverse(add(add(inverse(X),Y),inverse(add(X,Y)))),
    inference('REWRITE',[status(thm)],[7046,361,7495,theory(equality)]) ).

cnf(7512,plain,
    add(add(inverse(X),Y),inverse(add(X,Y))) = add(inverse(X),Y),
    inference('REWRITE',[status(thm)],[1104,7495,199,318,7496,theory(equality)]) ).

cnf(7514,plain,
    add(inverse(X),Y) = add(inverse(add(X,Y)),Y),
    inference('REWRITE',[status(thm)],[1167,199,318,7512,7496,theory(equality)]) ).

cnf(7584,plain,
    add(add(inverse(add(X,Y)),Z),inverse(add(X,Z))) = add(inverse(X),Z),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7388,351,theory(equality)]),7495,199,theory(equality)]) ).

cnf(7613,plain,
    add(add(X,Y),inverse(add(X,inverse(add(Z,Y))))) = add(add(Z,Y),X),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7388,865,theory(equality)]),7332,199,theory(equality)]) ).

cnf(7677,plain,
    X = add(inverse(add(Y,inverse(Y))),X),
    inference('PARAMODULATE',[status(thm)],[311,7446,theory(equality)]) ).

cnf(7685,plain,
    X = add(X,inverse(add(inverse(Y),Y))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[668,7446,theory(equality)]),7677,theory(equality)]) ).

cnf(7760,plain,
    X = inverse(add(inverse(X),inverse(add(Y,add(X,Z))))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[499,7116,theory(equality)]),7685,199,theory(equality)]) ).

cnf(7761,plain,
    add(inverse(add(X,Y)),add(X,inverse(add(Y,Z)))) = add(inverse(Y),X),
    inference('REWRITE',[status(thm)],[5492,7388,7760,theory(equality)]) ).

cnf(7764,plain,
    add(inverse(add(X,Y)),add(Y,inverse(add(Z,X)))) = add(inverse(X),Y),
    inference('REWRITE',[status(thm)],[2878,7514,7760,theory(equality)]) ).

cnf(7797,plain,
    X = inverse(add(inverse(add(Y,add(Z,X))),inverse(X))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[396,7233,theory(equality)]),7677,199,theory(equality)]) ).

cnf(7810,plain,
    add(inverse(add(X,Y)),add(inverse(add(Z,X)),Y)) = add(inverse(X),Y),
    inference('REWRITE',[status(thm)],[3031,7514,7797,theory(equality)]) ).

cnf(9748,plain,
    add(inverse(add(X,Y)),add(Y,Z)) = add(inverse(X),add(inverse(add(X,Y)),add(Y,Z))),
    inference('PARAMODULATE',[status(thm)],[387,7309,theory(equality)]) ).

cnf(9948,plain,
    add(inverse(add(X,Y)),add(Z,Y)) = add(add(inverse(add(X,Y)),add(Z,Y)),inverse(X)),
    inference('PARAMODULATE',[status(thm)],[376,7310,theory(equality)]) ).

cnf(9952,plain,
    add(add(X,Y),inverse(add(Z,Y))) = add(inverse(Z),add(add(X,Y),inverse(add(Z,Y)))),
    inference('PARAMODULATE',[status(thm)],[429,7310,theory(equality)]) ).

cnf(10240,plain,
    add(inverse(add(X,Y)),add(X,Z)) = add(inverse(Y),add(inverse(add(X,Y)),add(X,Z))),
    inference('PARAMODULATE',[status(thm)],[387,7312,theory(equality)]) ).

cnf(10242,plain,
    add(add(X,Y),inverse(add(X,Z))) = add(inverse(Z),add(add(X,Y),inverse(add(X,Z)))),
    inference('PARAMODULATE',[status(thm)],[429,7312,theory(equality)]) ).

cnf(10527,plain,
    add(inverse(X),Y) = add(add(inverse(X),Y),add(inverse(add(X,Z)),Y)),
    inference('PARAMODULATE',[status(thm)],[372,7584,theory(equality)]) ).

cnf(11314,plain,
    add(add(X,Y),Z) = add(add(Y,Z),add(X,Y)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[950,7389,theory(equality)]),199,theory(equality)]) ).

cnf(11595,plain,
    add(add(X,Y),Z) = add(add(Z,Y),add(X,Y)),
    inference('PARAMODULATE',[status(thm)],[11314,362,theory(equality)]) ).

cnf(11600,plain,
    add(inverse(X),Y) = add(add(inverse(add(X,Z)),Y),inverse(X)),
    inference('REWRITE',[status(thm)],[10527,11595,theory(equality)]) ).

cnf(11601,plain,
    add(inverse(add(X,Y)),add(Z,Y)) = add(inverse(X),add(Z,Y)),
    inference('REWRITE',[status(thm)],[9948,11600,theory(equality)]) ).

cnf(11735,plain,
    add(inverse(X),add(inverse(add(Y,X)),Z)) = add(inverse(X),Z),
    inference('REWRITE',[status(thm)],[7810,11601,theory(equality)]) ).

cnf(11736,plain,
    add(inverse(add(X,Y)),add(X,Z)) = add(inverse(Y),add(X,Z)),
    inference('REWRITE',[status(thm)],[10240,11735,theory(equality)]) ).

cnf(11743,plain,
    add(inverse(X),add(Y,inverse(add(X,Z)))) = add(inverse(X),Y),
    inference('REWRITE',[status(thm)],[7761,11736,theory(equality)]) ).

cnf(11744,plain,
    add(add(X,Y),inverse(add(Z,Y))) = add(inverse(Z),add(X,Y)),
    inference('REWRITE',[status(thm)],[9952,11743,theory(equality)]) ).

cnf(11946,plain,
    add(inverse(X),add(inverse(add(X,Y)),Z)) = add(inverse(X),Z),
    inference('REWRITE',[status(thm)],[7584,11744,theory(equality)]) ).

cnf(11947,plain,
    add(inverse(add(X,Y)),add(Y,Z)) = add(inverse(X),add(Y,Z)),
    inference('REWRITE',[status(thm)],[9748,11946,theory(equality)]) ).

cnf(11952,plain,
    add(inverse(X),add(Y,inverse(add(Z,X)))) = add(inverse(X),Y),
    inference('REWRITE',[status(thm)],[7764,11947,theory(equality)]) ).

cnf(11953,plain,
    add(add(X,Y),inverse(add(X,Z))) = add(inverse(Z),add(X,Y)),
    inference('REWRITE',[status(thm)],[10242,11952,theory(equality)]) ).

cnf(11995,plain,
    add(add(X,Y),Z) = add(add(Z,Y),X),
    inference('REWRITE',[status(thm)],[7613,11595,199,11953,theory(equality)]) ).

cnf(11996,plain,
    $false,
    inference('REWRITE',[status(thm)],[435,11995,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : BOO038-1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.35  % Computer : n024.cluster.edu
% 0.13/0.35  % Model    : x86_64 x86_64
% 0.13/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35  % Memory   : 8042.1875MB
% 0.13/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35  % CPULimit : 300
% 0.13/0.35  % WCLimit  : 600
% 0.13/0.35  % DateTime : Wed Jun  1 20:12:06 EDT 2022
% 0.13/0.35  % 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 2022-06-01T20:12:06
% 0.20/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-06-01T20:12:06
% 13.39/13.59  
% 13.39/13.59  
% 13.39/13.59  #||
% 13.39/13.59  % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 13.39/13.59  % SZS output start Refutation
% See solution above
% 13.47/13.66  ||#
% 13.47/13.66  
% 13.47/13.66  ; Summary of computation:
% 13.47/13.66  ;    119573 formulas have been input or derived (from 280 formulas).
% 13.47/13.66  ;     11996 (10%) were retained.  Of these,
% 13.47/13.66  ;         6017 (50%) were simplified or subsumed later,
% 13.47/13.66  ;         5979 (50%) are still being kept.
% 13.47/13.66  ; 
% 13.47/13.66  ; Run time in seconds excluding printing time:
% 13.47/13.66  ;     0.002   0%   Read assertion file          (1 call)
% 13.47/13.66  ;     0.000   0%   Assert                       (2 calls)
% 13.47/13.66  ;     1.640  13%   Process new row              (112,059 calls)
% 13.47/13.66  ;     0.091   1%   Resolution                   (558 calls)
% 13.47/13.66  ;     1.836  14%   Paramodulation               (279 calls)
% 13.47/13.66  ;     0.000   0%   Condensing                   (5 calls)
% 13.47/13.66  ;     0.001   0%   Forward subsumption          (5 calls)
% 13.47/13.66  ;     0.000   0%   Backward subsumption         (5 calls)
% 13.47/13.66  ;     0.000   0%   Clause clause subsumption    (12 calls)
% 13.47/13.66  ;     7.013  53%   Forward simplification       (111,961 calls)
% 13.47/13.66  ;     1.627  12%   Backward simplification      (11,996 calls)
% 13.47/13.66  ;     0.506   4%   Ordering                     (145,094 calls)
% 13.47/13.66  ;     0.000   0%   Sortal reasoning             (32 calls)
% 13.47/13.66  ;     0.000   0%   Purity testing               (1 call)
% 13.47/13.66  ;     0.402   3%   Other
% 13.47/13.66  ;    13.118        Total
% 13.47/13.66  ;    13.191        Real time
% 13.47/13.66  ; 
% 13.47/13.66  ; Term-hash-array has 35,560 terms in all.
% 13.47/13.66  ; Feature-vector-row-index has 0 entries (4 at peak, 5 added, 5 deleted).
% 13.47/13.66  ; Feature-vector-row-index has 1 node (18 at peak, 35 added, 34 deleted).
% 13.47/13.66  ;  Retrieved 6 possibly forward subsuming rows in 5 calls.
% 13.47/13.66  ;  Retrieved 6 possibly backward subsumed rows in 5 calls.
% 13.47/13.66  ; Path-index has 17,777 entries (20,963 at peak, 36,147 added, 18,370 deleted).
% 13.47/13.66  ; Path-index has 8,537 nodes (8,719 at peak, 12,012 added, 3,475 deleted).
% 13.47/13.66  ; Trie-index has 17,777 entries (20,963 at peak, 36,147 added, 18,370 deleted).
% 13.47/13.66  ; Trie-index has 61,368 nodes (93,375 at peak, 146,579 added, 85,211 deleted).
% 13.47/13.66  ; Retrieved 2,689,522 generalization terms in 1,411,178 calls.
% 13.47/13.66  ; Retrieved 302,863 instance terms in 12,033 calls.
% 13.47/13.66  ; Retrieved 607,807 unifiable terms in 2,387 calls.
% 13.47/13.66  ; 
% 13.47/13.66  ; The agenda of backward simplifiable rows to process has 656 entries:
% 13.47/13.66  ;   656 with value 0
% 13.47/13.66  ; The agenda of rows to process has 774 entries:
% 13.47/13.66  ;     8 with value 28             59 with value 36              12 with value 44
% 13.47/13.66  ;    21 with value 29             73 with value 37              25 with value 45
% 13.47/13.66  ;    24 with value 30             51 with value 38              34 with value 46
% 13.47/13.66  ;    37 with value 31             59 with value 39               4 with value 47
% 13.47/13.66  ;    18 with value 32             49 with value 40               6 with value 48
% 13.47/13.66  ;    33 with value 33             56 with value 41               2 with value 49
% 13.47/13.66  ;    30 with value 34             87 with value 42               7 with value 50
% 13.47/13.66  ;    42 with value 35             33 with value 43               4 with value 53
% 13.47/13.66  ; The agenda of rows to give has 5782 entries:
% 13.47/13.66  ;     1 with value (4 25)        344 with value (4 42)          24 with value (4 54)
% 13.47/13.66  ;     4 with value (4 28)        499 with value (4 43)          24 with value (4 55)
% 13.47/13.66  ;    47 with value (4 31)        438 with value (4 44)          23 with value (4 56)
% 13.47/13.66  ;   108 with value (4 32)        418 with value (4 45)          67 with value (4 57)
% 13.47/13.66  ;    70 with value (4 33)        283 with value (4 46)         127 with value (4 58)
% 13.47/13.66  ;    74 with value (4 34)        312 with value (4 47)          28 with value (4 59)
% 13.47/13.66  ;   117 with value (4 35)        300 with value (4 48)          36 with value (4 60)
% 13.47/13.66  ;   129 with value (4 36)        321 with value (4 49)          71 with value (4 61)
% 13.47/13.66  ;   150 with value (4 37)        257 with value (4 50)          10 with value (4 62)
% 13.47/13.66  ;   255 with value (4 38)        272 with value (4 51)           2 with value (4 63)
% 13.47/13.66  ;   189 with value (4 39)        124 with value (4 52)           5 with value (4 64)
% 13.47/13.66  ;   329 with value (4 40)         58 with value (4 53)           5 with value (4 65)
% 13.47/13.66  ;   261 with value (4 41)
% 13.47/13.66  Evaluation took:
% 13.47/13.66    13.192 seconds of real time
% 13.47/13.66    12.430482 seconds of user run time
% 13.47/13.66    0.757086 seconds of system run time
% 13.47/13.66    [Run times include 1.903 seconds GC run time.]
% 13.47/13.66    0 calls to %EVAL
% 13.47/13.66    0 page faults and
% 13.47/13.66    964,543,352 bytes consed.
% 13.47/13.66  :PROOF-FOUND
% 13.47/13.66  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-01T20:12:19
% 13.47/13.66  :PROOF-FOUND
% 13.47/13.66  * 
%------------------------------------------------------------------------------