TSTP Solution File: GRP477-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP477-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% 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 : Sat Jul 16 11:39:03 EDT 2022

% Result   : Unsatisfiable 0.78s 0.97s
% Output   : Refutation 0.83s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   29
%            Number of leaves      :    3
% Syntax   : Number of clauses     :   86 (  86 unt;   0 nHn;   4 RR)
%            Number of literals    :   86 (  85 equ;   3 neg)
%            Maximal clause size   :    1 (   1 avg)
%            Maximal term depth    :   11 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :    6 (   6 usr;   3 con; 0-2 aty)
%            Number of variables   :  404 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
    divide(inverse(divide(divide(divide(X,Y),Z),divide(U,Z))),divide(Y,X)) = U,
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

cnf(multiply,axiom,
    multiply(X,Y) = divide(X,inverse(Y)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).

cnf(prove_these_axioms_3,negated_conjecture,
    multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_3) ).

cnf(4,plain,
    divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))),
    inference('REWRITE',[status(thm)],[prove_these_axioms_3,multiply,theory(equality)]) ).

cnf(5,plain,
    divide(inverse(divide(divide(divide(X,Y),divide(Z,U)),V)),divide(Y,X)) = inverse(divide(divide(divide(U,Z),W),divide(V,W))),
    inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).

cnf(6,plain,
    divide(inverse(divide(divide(X,Y),divide(Z,Y))),divide(divide(U,V),inverse(divide(divide(divide(V,U),W),divide(X,W))))) = Z,
    inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).

cnf(7,plain,
    divide(inverse(divide(divide(divide(divide(X,Y),inverse(divide(divide(divide(Y,X),Z),divide(U,Z)))),V),divide(W,V))),U) = W,
    inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).

cnf(8,plain,
    inverse(divide(divide(divide(X,Y),Z),divide(divide(U,divide(Y,X)),Z))) = U,
    inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).

cnf(9,plain,
    inverse(divide(divide(divide(X,Y),Z),divide(U,Z))) = inverse(divide(divide(divide(X,Y),V),divide(U,V))),
    inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]) ).

cnf(10,plain,
    divide(divide(inverse(divide(divide(divide(X,Y),divide(Z,U)),V)),divide(Y,X)),divide(Z,U)) = V,
    inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).

cnf(29,plain,
    inverse(divide(divide(X,Y),divide(Z,Y))) = inverse(divide(divide(X,U),divide(Z,U))),
    inference('PARAMODULATE',[status(thm)],[9,single_axiom,theory(equality)]) ).

cnf(34,plain,
    divide(divide(inverse(divide(divide(divide(X,Y),Z),U)),divide(Y,X)),Z) = U,
    inference('PARAMODULATE',[status(thm)],[10,10,theory(equality)]) ).

cnf(35,plain,
    divide(inverse(divide(X,divide(Y,Z))),divide(divide(U,V),inverse(divide(divide(divide(V,U),Z),X)))) = Y,
    inference('PARAMODULATE',[status(thm)],[single_axiom,34,theory(equality)]) ).

cnf(36,plain,
    divide(divide(inverse(divide(X,Y)),divide(divide(Z,U),inverse(divide(divide(divide(U,Z),V),X)))),V) = Y,
    inference('PARAMODULATE',[status(thm)],[34,34,theory(equality)]) ).

cnf(37,plain,
    inverse(divide(X,divide(divide(Y,divide(divide(Z,U),inverse(divide(divide(divide(U,Z),V),X)))),V))) = Y,
    inference('PARAMODULATE',[status(thm)],[8,34,theory(equality)]) ).

cnf(38,plain,
    inverse(X) = inverse(divide(divide(inverse(divide(divide(divide(Y,Z),divide(U,divide(Z,Y))),X)),V),divide(U,V))),
    inference('PARAMODULATE',[status(thm)],[29,34,theory(equality)]) ).

cnf(39,plain,
    divide(inverse(divide(divide(divide(X,Y),Z),U)),divide(Y,X)) = divide(inverse(divide(divide(divide(V,W),Z),U)),divide(W,V)),
    inference('PARAMODULATE',[status(thm)],[single_axiom,34,theory(equality)]) ).

cnf(43,plain,
    inverse(divide(X,divide(Y,Z))) = inverse(divide(divide(divide(inverse(divide(divide(divide(U,V),Z),X)),divide(V,U)),W),divide(Y,W))),
    inference('PARAMODULATE',[status(thm)],[29,34,theory(equality)]) ).

cnf(59,plain,
    divide(X,divide(divide(Y,Z),inverse(divide(divide(divide(Z,Y),U),divide(divide(V,W),U))))) = divide(X,divide(W,V)),
    inference('PARAMODULATE',[status(thm)],[35,8,theory(equality)]) ).

cnf(62,plain,
    divide(inverse(divide(X,Y)),divide(divide(Z,U),inverse(divide(divide(divide(U,Z),V),X)))) = divide(inverse(divide(divide(divide(W,X1),V),Y)),divide(X1,W)),
    inference('PARAMODULATE',[status(thm)],[35,34,theory(equality)]) ).

cnf(128,plain,
    divide(divide(X,divide(divide(Y,Z),inverse(divide(divide(divide(Z,Y),U),divide(divide(V,W),X1))))),U) = divide(divide(X,divide(W,V)),X1),
    inference('PARAMODULATE',[status(thm)],[36,8,theory(equality)]) ).

cnf(140,plain,
    inverse(divide(divide(X,Y),divide(divide(inverse(divide(Z,U)),divide(divide(V,W),inverse(divide(divide(divide(W,V),X1),Z)))),Y))) = inverse(divide(divide(X,X1),U)),
    inference('PARAMODULATE',[status(thm)],[29,36,theory(equality)]) ).

cnf(141,plain,
    divide(divide(inverse(X),divide(divide(Y,Z),inverse(divide(divide(divide(Z,Y),U),divide(inverse(divide(divide(divide(V,W),X1),X)),divide(W,V)))))),U) = X1,
    inference('PARAMODULATE',[status(thm)],[36,34,theory(equality)]) ).

cnf(150,plain,
    divide(divide(inverse(X),divide(divide(Y,Z),inverse(divide(divide(divide(Z,Y),U),inverse(divide(V,divide(X,W))))))),U) = divide(divide(X1,Y1),inverse(divide(divide(divide(Y1,X1),W),V))),
    inference('PARAMODULATE',[status(thm)],[36,35,theory(equality)]) ).

cnf(206,plain,
    inverse(X) = inverse(divide(divide(inverse(divide(divide(Y,Z),X)),U),divide(inverse(divide(divide(Y,V),divide(Z,V))),U))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[38,6,theory(equality)]),single_axiom,theory(equality)]) ).

cnf(219,plain,
    inverse(divide(divide(inverse(divide(divide(divide(X,Y),Z),U)),divide(Y,X)),divide(V,divide(W,X1)))) = inverse(divide(divide(inverse(divide(divide(divide(X1,W),Z),U)),Y1),divide(V,Y1))),
    inference('PARAMODULATE',[status(thm)],[29,39,theory(equality)]) ).

cnf(220,plain,
    inverse(divide(divide(X,Y),divide(inverse(divide(divide(divide(Z,U),V),W)),Y))) = inverse(divide(divide(X,divide(U,Z)),divide(inverse(divide(divide(divide(X1,Y1),V),W)),divide(Y1,X1)))),
    inference('PARAMODULATE',[status(thm)],[29,39,theory(equality)]) ).

cnf(241,plain,
    divide(inverse(divide(divide(divide(X,Y),divide(Z,U)),inverse(divide(divide(divide(V,W),X1),Y1)))),divide(Y,X)) = inverse(divide(divide(divide(U,Z),divide(W,V)),divide(inverse(divide(divide(divide(Z1,U1),X1),Y1)),divide(U1,Z1)))),
    inference('PARAMODULATE',[status(thm)],[5,39,theory(equality)]) ).

cnf(272,plain,
    inverse(X) = inverse(divide(divide(inverse(divide(Y,X)),Z),divide(inverse(divide(Y,divide(U,U))),Z))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[206,34,theory(equality)]),43,theory(equality)]) ).

cnf(277,plain,
    divide(divide(inverse(X),divide(divide(Y,Z),inverse(divide(divide(divide(Z,Y),U),divide(inverse(divide(divide(V,W),X)),X1))))),U) = divide(inverse(divide(divide(V,Y1),divide(W,Y1))),X1),
    inference('PARAMODULATE',[status(thm)],[36,206,theory(equality)]) ).

cnf(304,plain,
    inverse(X) = inverse(divide(divide(inverse(divide(divide(inverse(divide(divide(divide(Y,Z),divide(U,U)),V)),divide(Z,Y)),X)),W),divide(inverse(V),W))),
    inference('PARAMODULATE',[status(thm)],[272,34,theory(equality)]) ).

cnf(386,plain,
    divide(inverse(divide(divide(divide(X,Y),inverse(divide(divide(divide(Z,U),V),divide(divide(W,X1),V)))),divide(X1,W))),divide(Y,X)) = divide(U,Z),
    inference('PARAMODULATE',[status(thm)],[single_axiom,59,theory(equality)]) ).

cnf(388,plain,
    divide(X,Y) = divide(divide(Z,U),inverse(divide(divide(divide(U,Z),V),divide(divide(Y,X),V)))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[34,59,theory(equality)]),34,theory(equality)]) ).

cnf(402,plain,
    inverse(divide(divide(X,Y),divide(Z,inverse(divide(divide(divide(U,V),W),divide(divide(Y,X),W)))))) = inverse(divide(divide(divide(V,U),X1),divide(Z,X1))),
    inference('PARAMODULATE',[status(thm)],[29,388,theory(equality)]) ).

cnf(418,plain,
    divide(inverse(divide(divide(divide(X,Y),divide(Z,U)),V)),divide(Y,X)) = inverse(divide(divide(W,X1),divide(V,inverse(divide(divide(divide(Z,U),Y1),divide(divide(X1,W),Y1)))))),
    inference('PARAMODULATE',[status(thm)],[5,388,theory(equality)]) ).

cnf(421,plain,
    divide(inverse(divide(divide(X,Y),Z)),divide(U,V)) = divide(inverse(divide(divide(divide(W,X1),inverse(divide(divide(divide(U,V),Y1),divide(divide(Y,X),Y1)))),Z)),divide(X1,W)),
    inference('PARAMODULATE',[status(thm)],[39,388,theory(equality)]) ).

cnf(422,plain,
    divide(inverse(divide(divide(X,Y),divide(X,Y))),divide(Z,U)) = divide(U,Z),
    inference('REWRITE',[status(thm)],[386,421,theory(equality)]) ).

cnf(446,plain,
    divide(X,inverse(divide(divide(divide(divide(Y,Z),inverse(divide(divide(divide(Z,Y),U),divide(X,U)))),V),divide(W,V)))) = divide(divide(X1,Y1),inverse(divide(divide(divide(Y1,X1),Z1),divide(W,Z1)))),
    inference('PARAMODULATE',[status(thm)],[388,7,theory(equality)]) ).

cnf(450,plain,
    divide(inverse(divide(X,X)),divide(Y,Z)) = divide(Z,Y),
    inference('PARAMODULATE',[status(thm)],[422,7,theory(equality)]) ).

cnf(451,plain,
    divide(X,Y) = divide(divide(X,Y),inverse(divide(Z,Z))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[450,450,theory(equality)]),450,theory(equality)]) ).

cnf(453,plain,
    inverse(X) = inverse(divide(divide(Y,Z),divide(inverse(divide(X,divide(U,U))),divide(Z,Y)))),
    inference('PARAMODULATE',[status(thm)],[272,450,theory(equality)]) ).

cnf(459,plain,
    inverse(divide(divide(X,Y),divide(inverse(divide(Z,Z)),Y))) = inverse(divide(divide(X,divide(U,V)),divide(V,U))),
    inference('PARAMODULATE',[status(thm)],[29,450,theory(equality)]) ).

cnf(460,plain,
    inverse(X) = inverse(divide(divide(inverse(divide(inverse(divide(Y,Y)),X)),Z),divide(inverse(divide(U,U)),Z))),
    inference('PARAMODULATE',[status(thm)],[272,450,theory(equality)]) ).

cnf(462,plain,
    inverse(divide(X,Y)) = inverse(divide(divide(Z,U),divide(inverse(divide(divide(X,V),divide(Y,V))),divide(U,Z)))),
    inference('PARAMODULATE',[status(thm)],[206,450,theory(equality)]) ).

cnf(464,plain,
    inverse(divide(X,X)) = inverse(divide(Y,Y)),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[37,450,theory(equality)]),34,theory(equality)]) ).

cnf(465,plain,
    inverse(divide(X,divide(Y,divide(divide(Z,U),inverse(divide(divide(U,Z),X)))))) = Y,
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[37,450,theory(equality)]),451,theory(equality)]) ).

cnf(468,plain,
    inverse(divide(X,Y)) = inverse(divide(divide(inverse(divide(Y,X)),Z),divide(inverse(divide(U,U)),Z))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[272,450,theory(equality)]),450,theory(equality)]) ).

cnf(470,plain,
    inverse(X) = inverse(divide(X,inverse(divide(Y,Y)))),
    inference('REWRITE',[status(thm)],[460,468,theory(equality)]) ).

cnf(475,plain,
    divide(inverse(divide(divide(X,Y),divide(Z,U))),divide(Y,X)) = inverse(divide(divide(divide(U,Z),divide(V,W)),divide(W,V))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,450,theory(equality)]),451,theory(equality)]) ).

cnf(484,plain,
    divide(inverse(divide(divide(divide(divide(X,Y),inverse(divide(divide(divide(Y,X),divide(Z,U)),divide(U,Z)))),V),divide(W,V))),inverse(divide(X1,X1))) = W,
    inference('PARAMODULATE',[status(thm)],[7,450,theory(equality)]) ).

cnf(488,plain,
    inverse(X) = inverse(divide(X,divide(Y,Y))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[206,464,theory(equality)]),468,theory(equality)]) ).

cnf(489,plain,
    inverse(X) = inverse(divide(divide(Y,Z),divide(inverse(X),divide(Z,Y)))),
    inference('REWRITE',[status(thm)],[453,488,theory(equality)]) ).

cnf(490,plain,
    inverse(divide(X,Y)) = inverse(divide(divide(X,Z),divide(Y,Z))),
    inference('REWRITE',[status(thm)],[462,489,theory(equality)]) ).

cnf(491,plain,
    divide(inverse(divide(divide(divide(X,Y),inverse(divide(divide(divide(Y,X),divide(Z,U)),divide(U,Z)))),V)),inverse(divide(W,W))) = V,
    inference('REWRITE',[status(thm)],[484,490,theory(equality)]) ).

cnf(498,plain,
    inverse(X) = inverse(divide(divide(X,divide(Y,Z)),divide(Z,Y))),
    inference('REWRITE',[status(thm)],[459,470,490,theory(equality)]) ).

cnf(500,plain,
    divide(inverse(divide(divide(divide(X,Y),inverse(divide(Y,X))),Z)),inverse(divide(U,U))) = Z,
    inference('REWRITE',[status(thm)],[491,498,theory(equality)]) ).

cnf(501,plain,
    divide(inverse(divide(divide(X,Y),divide(Z,U))),divide(Y,X)) = inverse(divide(U,Z)),
    inference('REWRITE',[status(thm)],[475,498,theory(equality)]) ).

cnf(522,plain,
    divide(inverse(divide(divide(divide(X,Y),divide(Z,U)),V)),divide(Y,X)) = inverse(divide(divide(W,X1),divide(V,inverse(divide(divide(Z,U),divide(X1,W)))))),
    inference('REWRITE',[status(thm)],[418,490,theory(equality)]) ).

cnf(549,plain,
    inverse(divide(divide(X,Y),divide(Z,inverse(divide(divide(U,V),divide(Y,X)))))) = inverse(divide(divide(V,U),Z)),
    inference('REWRITE',[status(thm)],[402,490,theory(equality)]) ).

cnf(551,plain,
    divide(inverse(divide(divide(divide(X,Y),divide(Z,U)),V)),divide(Y,X)) = inverse(divide(divide(U,Z),V)),
    inference('REWRITE',[status(thm)],[522,549,theory(equality)]) ).

cnf(555,plain,
    inverse(divide(divide(X,Y),inverse(divide(divide(divide(Z,U),V),W)))) = inverse(divide(divide(divide(X,Y),divide(U,Z)),divide(inverse(divide(divide(divide(X1,Y1),V),W)),divide(Y1,X1)))),
    inference('REWRITE',[status(thm)],[241,551,theory(equality)]) ).

cnf(580,plain,
    divide(X,inverse(divide(divide(divide(Y,Z),inverse(divide(divide(Z,Y),X))),U))) = divide(divide(V,W),inverse(divide(divide(W,V),U))),
    inference('REWRITE',[status(thm)],[446,490,theory(equality)]) ).

cnf(584,plain,
    inverse(X) = inverse(divide(inverse(divide(inverse(divide(divide(Y,Y),Z)),X)),inverse(Z))),
    inference('REWRITE',[status(thm)],[304,551,490,theory(equality)]) ).

cnf(600,plain,
    divide(divide(inverse(X),divide(divide(Y,Z),inverse(divide(divide(divide(Z,Y),U),divide(inverse(divide(divide(V,W),X)),X1))))),U) = divide(inverse(divide(V,W)),X1),
    inference('REWRITE',[status(thm)],[277,490,theory(equality)]) ).

cnf(601,plain,
    divide(inverse(divide(divide(X,Y),Z)),divide(Y,X)) = Z,
    inference('REWRITE',[status(thm)],[141,600,theory(equality)]) ).

cnf(602,plain,
    divide(X,Y) = inverse(divide(Y,X)),
    inference('REWRITE',[status(thm)],[501,601,theory(equality)]) ).

cnf(609,plain,
    inverse(X) = divide(divide(Y,Z),divide(X,divide(Z,Y))),
    inference('REWRITE',[status(thm)],[498,602,theory(equality)]) ).

cnf(610,plain,
    inverse(X) = divide(divide(Y,Y),X),
    inference('REWRITE',[status(thm)],[488,602,theory(equality)]) ).

cnf(611,plain,
    divide(divide(X,divide(divide(Y,Z),divide(divide(divide(U,V),W),divide(divide(Z,Y),X1)))),X1) = divide(divide(X,divide(V,U)),W),
    inference('REWRITE',[status(thm)],[128,602,theory(equality)]) ).

cnf(612,plain,
    divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3)),
    inference('REWRITE',[status(thm)],[4,602,theory(equality)]) ).

cnf(617,plain,
    inverse(X) = divide(inverse(Y),divide(X,divide(Y,divide(Z,Z)))),
    inference('REWRITE',[status(thm)],[584,602,theory(equality)]) ).

cnf(621,plain,
    divide(X,divide(Y,inverse(X))) = inverse(Y),
    inference('REWRITE',[status(thm)],[580,609,602,theory(equality)]) ).

cnf(640,plain,
    divide(inverse(inverse(X)),divide(Y,Y)) = X,
    inference('REWRITE',[status(thm)],[500,610,602,theory(equality)]) ).

cnf(644,plain,
    inverse(inverse(X)) = X,
    inference('REWRITE',[status(thm)],[465,621,609,602,theory(equality)]) ).

cnf(645,plain,
    divide(X,divide(Y,Y)) = X,
    inference('REWRITE',[status(thm)],[640,644,theory(equality)]) ).

cnf(646,plain,
    inverse(X) = divide(inverse(Y),divide(X,Y)),
    inference('REWRITE',[status(thm)],[617,645,theory(equality)]) ).

cnf(657,plain,
    divide(inverse(X),Y) = divide(divide(Z,U),divide(Y,divide(divide(U,Z),X))),
    inference('REWRITE',[status(thm)],[150,646,611,602,theory(equality)]) ).

cnf(692,plain,
    divide(divide(X,divide(divide(Y,Z),U)),divide(V,W)) = divide(divide(divide(X,divide(divide(X1,Y1),U)),divide(Y1,X1)),divide(divide(V,W),divide(Z,Y))),
    inference('REWRITE',[status(thm)],[555,602,theory(equality)]) ).

cnf(700,plain,
    divide(divide(X,Y),divide(inverse(Z),Y)) = divide(divide(X,divide(divide(U,V),Z)),divide(V,U)),
    inference('REWRITE',[status(thm)],[62,657,602,theory(equality)]) ).

cnf(707,plain,
    divide(X,Y) = divide(divide(X,Z),divide(Y,Z)),
    inference('REWRITE',[status(thm)],[490,602,theory(equality)]) ).

cnf(715,plain,
    divide(X,inverse(Y)) = divide(divide(X,divide(divide(Z,U),Y)),divide(U,Z)),
    inference('REWRITE',[status(thm)],[700,707,theory(equality)]) ).

cnf(717,plain,
    divide(divide(X,divide(divide(Y,Z),U)),divide(V,W)) = divide(divide(X,inverse(U)),divide(divide(V,W),divide(Z,Y))),
    inference('REWRITE',[status(thm)],[692,715,theory(equality)]) ).

cnf(729,plain,
    divide(divide(X,divide(divide(Y,Z),U)),V) = divide(divide(X,inverse(U)),divide(V,divide(Z,Y))),
    inference('REWRITE',[status(thm)],[220,645,707,717,602,490,theory(equality)]) ).

cnf(730,plain,
    divide(divide(X,divide(Y,Z)),divide(U,inverse(V))) = divide(X,divide(U,divide(divide(Z,Y),V))),
    inference('REWRITE',[status(thm)],[219,645,707,729,602,490,theory(equality)]) ).

cnf(731,plain,
    divide(divide(X,inverse(Y)),Z) = divide(X,divide(Z,Y)),
    inference('REWRITE',[status(thm)],[140,610,707,730,602,490,theory(equality)]) ).

cnf(732,plain,
    $false,
    inference('REWRITE',[status(thm)],[612,731,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12  % Problem  : GRP477-1 : TPTP v8.1.0. Released v2.6.0.
% 0.04/0.13  % Command  : run-snark %s %d
% 0.12/0.34  % Computer : n017.cluster.edu
% 0.12/0.34  % Model    : x86_64 x86_64
% 0.12/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34  % Memory   : 8042.1875MB
% 0.12/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34  % CPULimit : 300
% 0.12/0.34  % WCLimit  : 600
% 0.12/0.34  % DateTime : Mon Jun 13 22:56:38 EDT 2022
% 0.12/0.34  % CPUTime  : 
% 0.21/0.46  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47  * 
% 0.21/0.47  * 
% 0.21/0.47  #<PACKAGE "SNARK-USER">
% 0.21/0.47  * 
% 0.21/0.47  SNARK-TPTP-OPTIONS
% 0.21/0.47  * 
% 0.21/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47   (USE-FACTORING :POS)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47  * 
% 0.21/0.47  "."
% 0.21/0.47  * 
% 0.21/0.47  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T22:56:38
% 0.21/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-13T22:56:38
% 0.78/0.97  
% 0.78/0.97  
% 0.78/0.97  #||
% 0.78/0.97  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.78/0.97  % SZS output start Refutation
% See solution above
% 0.83/0.98  ||#
% 0.83/0.98  
% 0.83/0.98  ; Summary of computation:
% 0.83/0.98  ;      1903 formulas have been input or derived (from 24 formulas).
% 0.83/0.98  ;       732 (38%) were retained.  Of these,
% 0.83/0.98  ;          687 (94%) were simplified or subsumed later,
% 0.83/0.98  ;           45 ( 6%) are still being kept.
% 0.83/0.98  ; 
% 0.83/0.98  ; Run time in seconds excluding printing time:
% 0.83/0.98  ;     0.001   0%   Read assertion file          (1 call)
% 0.83/0.98  ;     0.000   0%   Assert                       (3 calls)
% 0.83/0.98  ;     0.152  31%   Process new row              (1,652 calls)
% 0.83/0.98  ;     0.003   1%   Resolution                   (46 calls)
% 0.83/0.98  ;     0.038   8%   Paramodulation               (23 calls)
% 0.83/0.98  ;     0.124  25%   Forward simplification       (1,387 calls)
% 0.83/0.98  ;     0.115  23%   Backward simplification      (731 calls)
% 0.83/0.98  ;     0.027   5%   Ordering                     (4,071 calls)
% 0.83/0.98  ;     0.001   0%   Sortal reasoning             (32 calls)
% 0.83/0.98  ;     0.000   0%   Purity testing               (1 call)
% 0.83/0.98  ;     0.030   6%   Other
% 0.83/0.98  ;     0.491        Total
% 0.83/0.98  ;     0.508        Real time
% 0.83/0.98  ; 
% 0.83/0.98  ; Term-hash-array has 4,748 terms in all.
% 0.83/0.98  ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.83/0.98  ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.83/0.98  ; Path-index has 218 entries (3,489 at peak, 5,114 added, 4,896 deleted).
% 0.83/0.98  ; Path-index has 9,187 nodes (11,793 at peak, 14,368 added, 5,181 deleted).
% 0.83/0.98  ; Trie-index has 218 entries (3,489 at peak, 5,114 added, 4,896 deleted).
% 0.83/0.98  ; Trie-index has 841 nodes (24,082 at peak, 32,729 added, 31,888 deleted).
% 0.83/0.98  ; Retrieved 6,838 generalization terms in 21,538 calls.
% 0.83/0.98  ; Retrieved 4,248 instance terms in 782 calls.
% 0.83/0.98  ; Retrieved 8,955 unifiable terms in 264 calls.
% 0.83/0.98  ; 
% 0.83/0.98  ; The agenda of backward simplifiable rows to process has 213 entries:
% 0.83/0.98  ;   213 with value 0
% 0.83/0.98  ; The agenda of rows to process has 34 entries:
% 0.83/0.98  ;     4 with value 35              8 with value 37               2 with value 39
% 0.83/0.98  ;     8 with value 36              6 with value 38               6 with value 40
% 0.83/0.98  ; The agenda of rows to give has 43 entries:
% 0.83/0.98  ;     1 with value (4 14)          2 with value (4 22)           4 with value (4 30)
% 0.83/0.98  ;     1 with value (4 16)          2 with value (4 23)           2 with value (4 31)
% 0.83/0.98  ;     1 with value (4 17)          2 with value (4 24)           2 with value (4 33)
% 0.83/0.98  ;     1 with value (4 18)          1 with value (4 26)           2 with value (4 36)
% 0.83/0.98  ;     2 with value (4 19)          6 with value (4 27)           2 with value (4 38)
% 0.83/0.98  ;     2 with value (4 20)          3 with value (4 28)           2 with value (4 41)
% 0.83/0.98  ;     2 with value (4 21)          3 with value (4 29)
% 0.83/0.98  Evaluation took:
% 0.83/0.98    0.508 seconds of real time
% 0.83/0.98    0.475337 seconds of user run time
% 0.83/0.98    0.032889 seconds of system run time
% 0.83/0.98    [Run times include 0.039 seconds GC run time.]
% 0.83/0.98    0 calls to %EVAL
% 0.83/0.98    0 page faults and
% 0.83/0.98    48,157,928 bytes consed.
% 0.83/0.98  :PROOF-FOUND
% 0.83/0.98  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T22:56:39
% 0.83/0.98  :PROOF-FOUND
% 0.83/0.98  * 
%------------------------------------------------------------------------------