TSTP Solution File: GRP503-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP503-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 11:39:11 EDT 2022
% Result : Unsatisfiable 2.55s 2.76s
% Output : Refutation 2.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 55
% Number of leaves : 3
% Syntax : Number of clauses : 162 ( 162 unt; 0 nHn; 4 RR)
% Number of literals : 162 ( 161 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 641 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(double_divide(X,inverse(double_divide(Y,Z))),double_divide(inverse(Y),inverse(double_divide(U,double_divide(X,U))))) = Z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = inverse(double_divide(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',multiply) ).
cnf(prove_these_axioms_2,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms_2) ).
cnf(4,plain,
inverse(double_divide(a2,inverse(double_divide(b2,inverse(b2))))) != a2,
inference('REWRITE',[status(thm)],[prove_these_axioms_2,multiply,theory(equality)]) ).
cnf(5,plain,
double_divide(double_divide(X,inverse(Y)),double_divide(inverse(double_divide(Z,inverse(double_divide(U,Y)))),inverse(double_divide(V,double_divide(X,V))))) = double_divide(inverse(U),inverse(double_divide(W,double_divide(Z,W)))),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(7,plain,
double_divide(inverse(X),inverse(double_divide(Y,double_divide(Z,Y)))) = double_divide(inverse(X),inverse(double_divide(U,double_divide(Z,U)))),
inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]) ).
cnf(9,plain,
double_divide(double_divide(double_divide(X,inverse(Y)),double_divide(inverse(double_divide(Z,inverse(double_divide(U,Y)))),inverse(double_divide(V,double_divide(X,V))))),double_divide(inverse(W),inverse(double_divide(X1,double_divide(inverse(U),X1))))) = double_divide(Z,W),
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(19,plain,
double_divide(X,double_divide(Y,inverse(double_divide(Z,double_divide(U,double_divide(X,U)))))) = double_divide(inverse(Z),inverse(double_divide(V,double_divide(Y,V)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]),9,theory(equality)]) ).
cnf(27,plain,
inverse(double_divide(X,double_divide(Y,X))) = inverse(double_divide(Z,double_divide(Y,Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,7,theory(equality)]),single_axiom,theory(equality)]) ).
cnf(37,plain,
double_divide(double_divide(X,inverse(double_divide(Y,double_divide(Z,Y)))),double_divide(inverse(U),inverse(double_divide(V,double_divide(X,V))))) = double_divide(Z,U),
inference('PARAMODULATE',[status(thm)],[single_axiom,27,theory(equality)]) ).
cnf(45,plain,
double_divide(inverse(double_divide(double_divide(X,inverse(double_divide(Y,Z))),X)),inverse(double_divide(U,double_divide(inverse(Y),U)))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,19,theory(equality)]) ).
cnf(46,plain,
double_divide(double_divide(X,inverse(double_divide(Y,Z))),double_divide(U,double_divide(X,inverse(double_divide(Y,double_divide(V,double_divide(U,V))))))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,19,theory(equality)]) ).
cnf(76,plain,
double_divide(double_divide(inverse(X),inverse(double_divide(double_divide(double_divide(Y,inverse(double_divide(X,Z))),Y),U))),Z) = U,
inference('PARAMODULATE',[status(thm)],[single_axiom,45,theory(equality)]) ).
cnf(106,plain,
double_divide(double_divide(inverse(double_divide(double_divide(X,inverse(double_divide(Y,inverse(Y)))),X)),inverse(double_divide(Z,U))),Z) = U,
inference('PARAMODULATE',[status(thm)],[76,76,theory(equality)]) ).
cnf(112,plain,
inverse(double_divide(X,double_divide(double_divide(inverse(Y),inverse(double_divide(double_divide(double_divide(Z,inverse(double_divide(Y,U))),Z),V))),X))) = inverse(double_divide(U,V)),
inference('PARAMODULATE',[status(thm)],[27,76,theory(equality)]) ).
cnf(127,plain,
double_divide(X,double_divide(inverse(Y),inverse(double_divide(inverse(double_divide(Y,Z)),X)))) = Z,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,76,theory(equality)]),112,theory(equality)]) ).
cnf(134,plain,
double_divide(X,Y) = double_divide(inverse(Z),inverse(double_divide(inverse(double_divide(Z,double_divide(U,double_divide(X,U)))),Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[19,76,theory(equality)]),112,theory(equality)]) ).
cnf(169,plain,
double_divide(X,double_divide(Y,X)) = double_divide(Z,double_divide(Y,Z)),
inference('PARAMODULATE',[status(thm)],[127,134,theory(equality)]) ).
cnf(170,plain,
double_divide(X,Y) = double_divide(inverse(double_divide(X,Z)),inverse(double_divide(inverse(double_divide(U,double_divide(Z,U))),Y))),
inference('PARAMODULATE',[status(thm)],[134,27,theory(equality)]) ).
cnf(183,plain,
double_divide(X,inverse(double_divide(Y,double_divide(Z,Y)))) = double_divide(X,inverse(double_divide(U,double_divide(Z,U)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[134,7,theory(equality)]),134,theory(equality)]) ).
cnf(206,plain,
double_divide(X,double_divide(Y,X)) = double_divide(double_divide(Z,Y),double_divide(U,double_divide(Z,U))),
inference('PARAMODULATE',[status(thm)],[169,169,theory(equality)]) ).
cnf(224,plain,
double_divide(X,double_divide(double_divide(Y,Z),X)) = double_divide(double_divide(U,double_divide(Y,U)),double_divide(V,double_divide(Z,V))),
inference('PARAMODULATE',[status(thm)],[169,206,theory(equality)]) ).
cnf(259,plain,
double_divide(X,double_divide(inverse(double_divide(Y,double_divide(inverse(Z),Y))),X)) = double_divide(U,double_divide(V,double_divide(inverse(double_divide(double_divide(W,inverse(double_divide(Z,U))),W)),V))),
inference('PARAMODULATE',[status(thm)],[206,45,theory(equality)]) ).
cnf(276,plain,
double_divide(X,double_divide(inverse(double_divide(Y,double_divide(Z,Y))),X)) = double_divide(double_divide(double_divide(U,inverse(V)),double_divide(inverse(double_divide(Z,inverse(double_divide(W,V)))),inverse(double_divide(X1,double_divide(U,X1))))),double_divide(Y1,double_divide(inverse(W),Y1))),
inference('PARAMODULATE',[status(thm)],[206,5,theory(equality)]) ).
cnf(360,plain,
double_divide(X,inverse(double_divide(inverse(double_divide(Y,double_divide(double_divide(Z,U),Y))),V))) = double_divide(inverse(double_divide(X,Z)),inverse(double_divide(U,V))),
inference('PARAMODULATE',[status(thm)],[170,170,theory(equality)]) ).
cnf(364,plain,
double_divide(inverse(double_divide(X,Y)),inverse(double_divide(double_divide(X,Y),Z))) = double_divide(inverse(U),inverse(double_divide(U,Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[134,170,theory(equality)]),360,theory(equality)]) ).
cnf(376,plain,
double_divide(double_divide(X,Y),Z) = double_divide(inverse(double_divide(U,double_divide(Y,U))),inverse(double_divide(inverse(double_divide(V,double_divide(double_divide(W,double_divide(X,W)),V))),Z))),
inference('PARAMODULATE',[status(thm)],[170,206,theory(equality)]) ).
cnf(527,plain,
double_divide(double_divide(X,double_divide(Y,X)),Z) = double_divide(double_divide(U,double_divide(Y,U)),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[170,224,theory(equality)]),376,theory(equality)]) ).
cnf(617,plain,
double_divide(inverse(X),inverse(double_divide(X,Y))) = double_divide(inverse(Z),inverse(double_divide(Z,Y))),
inference('PARAMODULATE',[status(thm)],[364,364,theory(equality)]) ).
cnf(642,plain,
double_divide(inverse(X),inverse(Y)) = double_divide(inverse(Z),inverse(double_divide(Z,double_divide(inverse(U),inverse(double_divide(inverse(double_divide(U,Y)),X)))))),
inference('PARAMODULATE',[status(thm)],[617,127,theory(equality)]) ).
cnf(644,plain,
double_divide(X,inverse(double_divide(inverse(double_divide(Y,Z)),double_divide(inverse(U),inverse(double_divide(U,Z)))))) = double_divide(X,inverse(double_divide(V,double_divide(inverse(Y),V)))),
inference('PARAMODULATE',[status(thm)],[183,617,theory(equality)]) ).
cnf(690,plain,
double_divide(X,double_divide(Y,double_divide(Z,Y))) = double_divide(X,double_divide(U,double_divide(Z,U))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[37,27,theory(equality)]),37,theory(equality)]) ).
cnf(786,plain,
double_divide(double_divide(X,Y),double_divide(Z,double_divide(X,double_divide(U,double_divide(Z,U))))) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[46,134,theory(equality)]),134,theory(equality)]) ).
cnf(859,plain,
double_divide(double_divide(double_divide(X,Y),Z),double_divide(X,double_divide(U,double_divide(Y,U)))) = Z,
inference('PARAMODULATE',[status(thm)],[786,169,theory(equality)]) ).
cnf(860,plain,
double_divide(double_divide(double_divide(double_divide(X,Y),X),Z),double_divide(U,double_divide(Y,U))) = Z,
inference('PARAMODULATE',[status(thm)],[786,206,theory(equality)]) ).
cnf(862,plain,
double_divide(double_divide(X,double_divide(Y,X)),double_divide(Z,double_divide(U,double_divide(V,double_divide(Z,V))))) = double_divide(Y,U),
inference('PARAMODULATE',[status(thm)],[786,169,theory(equality)]) ).
cnf(870,plain,
double_divide(double_divide(inverse(X),inverse(Y)),Z) = double_divide(U,double_divide(double_divide(Y,inverse(double_divide(X,Z))),double_divide(V,double_divide(U,V)))),
inference('PARAMODULATE',[status(thm)],[76,786,theory(equality)]) ).
cnf(895,plain,
double_divide(X,double_divide(double_divide(inverse(Y),inverse(Z)),X)) = double_divide(inverse(Y),inverse(double_divide(U,double_divide(Z,U)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[786,single_axiom,theory(equality)]),870,theory(equality)]) ).
cnf(912,plain,
double_divide(double_divide(inverse(X),inverse(double_divide(Y,double_divide(Z,Y)))),double_divide(U,double_divide(V,double_divide(W,double_divide(U,W))))) = double_divide(Z,inverse(double_divide(X,double_divide(X1,double_divide(V,X1))))),
inference('PARAMODULATE',[status(thm)],[786,19,theory(equality)]) ).
cnf(944,plain,
double_divide(X,double_divide(double_divide(Y,Z),X)) = double_divide(Y,double_divide(double_divide(U,Z),U)),
inference('PARAMODULATE',[status(thm)],[224,859,theory(equality)]) ).
cnf(945,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X,Y),X),Z),U),double_divide(Y,Z)) = U,
inference('PARAMODULATE',[status(thm)],[786,859,theory(equality)]) ).
cnf(946,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(double_divide(X,Y),X),Z),Y),U),Z) = U,
inference('PARAMODULATE',[status(thm)],[859,859,theory(equality)]) ).
cnf(949,plain,
double_divide(double_divide(inverse(X),inverse(Y)),Z) = double_divide(Y,double_divide(U,double_divide(inverse(double_divide(X,Z)),U))),
inference('PARAMODULATE',[status(thm)],[76,859,theory(equality)]) ).
cnf(951,plain,
double_divide(X,double_divide(inverse(double_divide(Y,double_divide(inverse(Z),Y))),X)) = double_divide(double_divide(inverse(double_divide(U,inverse(double_divide(Z,V)))),inverse(V)),U),
inference('REWRITE',[status(thm)],[259,949,theory(equality)]) ).
cnf(955,plain,
double_divide(double_divide(X,double_divide(Y,X)),double_divide(Z,double_divide(U,double_divide(V,U)))) = double_divide(Y,double_divide(Z,V)),
inference('PARAMODULATE',[status(thm)],[859,169,theory(equality)]) ).
cnf(1193,plain,
double_divide(double_divide(X,Y),X) = double_divide(double_divide(Z,Y),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[786,944,theory(equality)]),862,theory(equality)]) ).
cnf(1323,plain,
double_divide(double_divide(double_divide(X,Y),X),double_divide(Z,double_divide(U,Z))) = double_divide(Y,U),
inference('PARAMODULATE',[status(thm)],[860,1193,theory(equality)]) ).
cnf(1324,plain,
double_divide(double_divide(X,double_divide(Y,Z)),X) = double_divide(double_divide(U,double_divide(Y,U)),Z),
inference('PARAMODULATE',[status(thm)],[527,1193,theory(equality)]) ).
cnf(1325,plain,
double_divide(double_divide(X,Y),X) = double_divide(double_divide(double_divide(Z,U),Z),double_divide(Y,U)),
inference('PARAMODULATE',[status(thm)],[1193,1193,theory(equality)]) ).
cnf(1326,plain,
double_divide(double_divide(double_divide(X,Y),X),double_divide(Z,double_divide(U,double_divide(Y,U)))) = Z,
inference('PARAMODULATE',[status(thm)],[859,1193,theory(equality)]) ).
cnf(1343,plain,
double_divide(double_divide(double_divide(double_divide(double_divide(X,double_divide(Y,X)),Z),Y),U),double_divide(double_divide(V,Z),V)) = U,
inference('PARAMODULATE',[status(thm)],[859,1193,theory(equality)]) ).
cnf(1382,plain,
double_divide(double_divide(X,Y),Z) = double_divide(double_divide(double_divide(double_divide(U,X),U),Y),double_divide(double_divide(V,Z),V)),
inference('PARAMODULATE',[status(thm)],[944,945,theory(equality)]) ).
cnf(1446,plain,
double_divide(double_divide(X,Y),double_divide(Z,inverse(double_divide(U,double_divide(X,U))))) = double_divide(inverse(Y),inverse(double_divide(V,double_divide(double_divide(double_divide(W,Z),W),V)))),
inference('PARAMODULATE',[status(thm)],[945,37,theory(equality)]) ).
cnf(1572,plain,
double_divide(double_divide(double_divide(X,Y),X),Z) = double_divide(double_divide(double_divide(U,Y),U),Z),
inference('PARAMODULATE',[status(thm)],[946,1193,theory(equality)]) ).
cnf(1736,plain,
double_divide(X,double_divide(double_divide(double_divide(Y,Z),Y),inverse(double_divide(U,double_divide(V,double_divide(X,V)))))) = double_divide(inverse(U),inverse(double_divide(double_divide(W,double_divide(X1,W)),double_divide(Z,X1)))),
inference('PARAMODULATE',[status(thm)],[19,1323,theory(equality)]) ).
cnf(1767,plain,
double_divide(double_divide(X,double_divide(Y,double_divide(Z,double_divide(U,double_divide(V,double_divide(Z,V)))))),X) = double_divide(Y,U),
inference('PARAMODULATE',[status(thm)],[786,1324,theory(equality)]) ).
cnf(1828,plain,
double_divide(double_divide(X,double_divide(Y,X)),Z) = double_divide(double_divide(inverse(double_divide(U,double_divide(V,U))),double_divide(Y,Z)),inverse(double_divide(W,double_divide(V,W)))),
inference('PARAMODULATE',[status(thm)],[183,1324,theory(equality)]) ).
cnf(1845,plain,
double_divide(X,double_divide(Y,inverse(double_divide(Z,X)))) = double_divide(double_divide(U,double_divide(V,U)),double_divide(Y,inverse(double_divide(Z,double_divide(W,double_divide(V,W)))))),
inference('PARAMODULATE',[status(thm)],[1324,46,theory(equality)]) ).
cnf(1895,plain,
double_divide(double_divide(X,double_divide(inverse(Y),inverse(double_divide(Z,double_divide(U,Z))))),X) = double_divide(double_divide(V,double_divide(W,V)),double_divide(U,inverse(double_divide(Y,double_divide(X1,double_divide(W,X1)))))),
inference('PARAMODULATE',[status(thm)],[1324,19,theory(equality)]) ).
cnf(2064,plain,
double_divide(double_divide(X,double_divide(Y,inverse(double_divide(Z,U)))),X) = double_divide(double_divide(double_divide(V,double_divide(inverse(Z),inverse(double_divide(W,double_divide(Y,W))))),V),U),
inference('PARAMODULATE',[status(thm)],[1325,single_axiom,theory(equality)]) ).
cnf(2089,plain,
double_divide(X,double_divide(double_divide(double_divide(Y,Z),Y),inverse(double_divide(U,double_divide(V,double_divide(X,V)))))) = double_divide(inverse(U),inverse(double_divide(double_divide(W,Z),double_divide(double_divide(X1,W),X1)))),
inference('PARAMODULATE',[status(thm)],[19,1325,theory(equality)]) ).
cnf(2221,plain,
double_divide(double_divide(inverse(X),inverse(double_divide(Y,double_divide(Z,Y)))),double_divide(U,double_divide(V,double_divide(W,double_divide(U,W))))) = double_divide(double_divide(inverse(X),inverse(Z)),V),
inference('PARAMODULATE',[status(thm)],[786,895,theory(equality)]) ).
cnf(2223,plain,
double_divide(double_divide(inverse(X),inverse(Y)),Z) = double_divide(Y,inverse(double_divide(X,double_divide(U,double_divide(Z,U))))),
inference('REWRITE',[status(thm)],[912,2221,theory(equality)]) ).
cnf(2228,plain,
double_divide(double_divide(inverse(X),inverse(Y)),inverse(X)) = inverse(double_divide(Z,double_divide(Y,Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[786,895,theory(equality)]),862,theory(equality)]) ).
cnf(2315,plain,
double_divide(double_divide(X,double_divide(inverse(Y),inverse(double_divide(Z,double_divide(U,Z))))),X) = double_divide(double_divide(V,double_divide(W,V)),double_divide(double_divide(inverse(Y),inverse(U)),W)),
inference('PARAMODULATE',[status(thm)],[1324,895,theory(equality)]) ).
cnf(2348,plain,
double_divide(X,double_divide(double_divide(inverse(Y),inverse(double_divide(double_divide(Z,U),Z))),X)) = double_divide(inverse(Y),inverse(double_divide(V,double_divide(double_divide(double_divide(W,U),W),V)))),
inference('PARAMODULATE',[status(thm)],[895,1572,theory(equality)]) ).
cnf(2353,plain,
double_divide(X,double_divide(double_divide(inverse(Y),inverse(double_divide(double_divide(Z,U),Z))),X)) = double_divide(inverse(Y),inverse(double_divide(double_divide(V,double_divide(W,V)),double_divide(U,W)))),
inference('PARAMODULATE',[status(thm)],[895,1323,theory(equality)]) ).
cnf(2414,plain,
inverse(double_divide(X,double_divide(Y,X))) = double_divide(double_divide(Z,inverse(Y)),Z),
inference('PARAMODULATE',[status(thm)],[1193,2228,theory(equality)]) ).
cnf(2419,plain,
double_divide(inverse(double_divide(X,double_divide(Y,X))),double_divide(Z,double_divide(U,Z))) = double_divide(inverse(Y),U),
inference('PARAMODULATE',[status(thm)],[1323,2414,theory(equality)]) ).
cnf(2424,plain,
double_divide(double_divide(inverse(double_divide(X,double_divide(Y,X))),Z),double_divide(U,double_divide(inverse(Y),U))) = Z,
inference('PARAMODULATE',[status(thm)],[860,2414,theory(equality)]) ).
cnf(2476,plain,
double_divide(double_divide(X,double_divide(double_divide(Y,inverse(Z)),Y)),double_divide(inverse(U),inverse(double_divide(V,double_divide(X,V))))) = double_divide(Z,U),
inference('PARAMODULATE',[status(thm)],[37,2414,theory(equality)]) ).
cnf(2492,plain,
double_divide(X,double_divide(inverse(double_divide(Y,inverse(Z))),inverse(double_divide(inverse(inverse(double_divide(U,double_divide(Z,U)))),X)))) = Y,
inference('PARAMODULATE',[status(thm)],[127,2414,theory(equality)]) ).
cnf(2548,plain,
double_divide(double_divide(X,inverse(double_divide(Y,inverse(double_divide(Z,double_divide(U,Z)))))),double_divide(inverse(V),inverse(double_divide(W,double_divide(X,W))))) = double_divide(double_divide(Y,inverse(U)),V),
inference('PARAMODULATE',[status(thm)],[37,2414,theory(equality)]) ).
cnf(2793,plain,
double_divide(double_divide(inverse(double_divide(X,Y)),inverse(Z)),X) = double_divide(Z,inverse(double_divide(U,double_divide(Y,U)))),
inference('PARAMODULATE',[status(thm)],[183,2223,theory(equality)]) ).
cnf(2796,plain,
double_divide(double_divide(X,double_divide(Y,X)),double_divide(double_divide(inverse(inverse(double_divide(Z,U))),inverse(inverse(Z))),Y)) = U,
inference('PARAMODULATE',[status(thm)],[127,2223,theory(equality)]) ).
cnf(2803,plain,
double_divide(double_divide(inverse(double_divide(double_divide(X,Y),X)),inverse(Z)),U) = double_divide(Z,inverse(double_divide(Y,U))),
inference('PARAMODULATE',[status(thm)],[2223,1323,theory(equality)]) ).
cnf(2804,plain,
double_divide(double_divide(X,Y),inverse(double_divide(inverse(double_divide(Z,inverse(Z))),X))) = Y,
inference('REWRITE',[status(thm)],[106,2803,theory(equality)]) ).
cnf(2819,plain,
double_divide(inverse(double_divide(double_divide(double_divide(inverse(X),inverse(Y)),Z),Y)),inverse(double_divide(U,double_divide(inverse(X),U)))) = double_divide(V,double_divide(Z,V)),
inference('PARAMODULATE',[status(thm)],[45,2223,theory(equality)]) ).
cnf(3067,plain,
double_divide(double_divide(X,Y),inverse(double_divide(inverse(inverse(double_divide(Z,inverse(Z)))),X))) = Y,
inference('PARAMODULATE',[status(thm)],[2804,2804,theory(equality)]) ).
cnf(3094,plain,
double_divide(X,Y) = double_divide(inverse(inverse(double_divide(Z,inverse(Z)))),inverse(double_divide(U,double_divide(double_divide(double_divide(V,double_divide(X,V)),Y),U)))),
inference('PARAMODULATE',[status(thm)],[19,2804,theory(equality)]) ).
cnf(3228,plain,
double_divide(X,Y) = double_divide(inverse(inverse(inverse(double_divide(Z,inverse(Z))))),inverse(double_divide(U,double_divide(double_divide(double_divide(V,double_divide(X,V)),Y),U)))),
inference('PARAMODULATE',[status(thm)],[19,3067,theory(equality)]) ).
cnf(3248,plain,
double_divide(double_divide(inverse(double_divide(X,double_divide(Y,X))),Z),inverse(double_divide(inverse(inverse(double_divide(U,inverse(U)))),inverse(double_divide(V,double_divide(Y,V)))))) = Z,
inference('PARAMODULATE',[status(thm)],[3067,183,theory(equality)]) ).
cnf(3254,plain,
double_divide(double_divide(X,double_divide(Y,inverse(double_divide(inverse(inverse(double_divide(Z,inverse(Z)))),U)))),X) = double_divide(Y,U),
inference('PARAMODULATE',[status(thm)],[1324,3067,theory(equality)]) ).
cnf(3270,plain,
inverse(X) = double_divide(X,inverse(double_divide(double_divide(inverse(inverse(inverse(double_divide(Y,inverse(Y))))),inverse(Z)),inverse(Z)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2223,3067,theory(equality)]),949,theory(equality)]) ).
cnf(3323,plain,
double_divide(X,double_divide(Y,inverse(double_divide(inverse(inverse(double_divide(Z,inverse(Z)))),X)))) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1326,3067,theory(equality)]),955,theory(equality)]) ).
cnf(3328,plain,
double_divide(double_divide(X,inverse(double_divide(inverse(double_divide(inverse(inverse(double_divide(Y,inverse(Y)))),Z)),U))),double_divide(inverse(V),inverse(double_divide(W,double_divide(X,W))))) = double_divide(double_divide(Z,U),V),
inference('PARAMODULATE',[status(thm)],[37,3067,theory(equality)]) ).
cnf(3343,plain,
double_divide(double_divide(inverse(double_divide(X,Y)),inverse(inverse(Z))),X) = double_divide(inverse(U),inverse(double_divide(U,double_divide(Y,Z)))),
inference('PARAMODULATE',[status(thm)],[617,2793,theory(equality)]) ).
cnf(3365,plain,
double_divide(inverse(double_divide(double_divide(double_divide(inverse(double_divide(X,Y)),inverse(Z)),X),Z)),inverse(double_divide(U,double_divide(inverse(V),U)))) = double_divide(Y,V),
inference('PARAMODULATE',[status(thm)],[45,2793,theory(equality)]) ).
cnf(3397,plain,
double_divide(double_divide(inverse(double_divide(X,inverse(Y))),inverse(Z)),X) = double_divide(Z,inverse(double_divide(inverse(double_divide(Y,U)),double_divide(inverse(V),inverse(double_divide(V,U)))))),
inference('PARAMODULATE',[status(thm)],[2793,617,theory(equality)]) ).
cnf(3433,plain,
double_divide(double_divide(inverse(double_divide(X,Y)),inverse(Z)),X) = double_divide(Z,inverse(double_divide(double_divide(inverse(U),inverse(double_divide(inverse(double_divide(U,V)),Y))),V))),
inference('PARAMODULATE',[status(thm)],[2793,127,theory(equality)]) ).
cnf(3438,plain,
double_divide(X,double_divide(inverse(double_divide(inverse(double_divide(Y,Z)),inverse(U))),inverse(double_divide(inverse(double_divide(U,inverse(double_divide(V,double_divide(Z,V))))),X)))) = Y,
inference('PARAMODULATE',[status(thm)],[127,2793,theory(equality)]) ).
cnf(3519,plain,
double_divide(double_divide(X,inverse(Y)),double_divide(inverse(double_divide(Z,Y)),inverse(X))) = Z,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,2793,theory(equality)]),2548,theory(equality)]) ).
cnf(3635,plain,
double_divide(X,double_divide(Y,double_divide(Z,double_divide(inverse(U),Z)))) = double_divide(inverse(double_divide(X,U)),inverse(Y)),
inference('PARAMODULATE',[status(thm)],[859,3519,theory(equality)]) ).
cnf(3652,plain,
double_divide(X,double_divide(inverse(double_divide(Y,inverse(Z))),inverse(double_divide(inverse(U),X)))) = double_divide(inverse(double_divide(U,Z)),inverse(Y)),
inference('PARAMODULATE',[status(thm)],[127,3519,theory(equality)]) ).
cnf(3654,plain,
double_divide(inverse(double_divide(double_divide(X,inverse(double_divide(Y,double_divide(Z,Y)))),X)),inverse(inverse(double_divide(U,Z)))) = U,
inference('REWRITE',[status(thm)],[3438,3652,theory(equality)]) ).
cnf(3656,plain,
double_divide(inverse(double_divide(inverse(double_divide(X,double_divide(Y,X))),Y)),inverse(Z)) = Z,
inference('REWRITE',[status(thm)],[2492,3652,theory(equality)]) ).
cnf(3729,plain,
double_divide(double_divide(X,inverse(Y)),double_divide(inverse(double_divide(Z,inverse(U))),inverse(double_divide(V,double_divide(X,V))))) = double_divide(inverse(double_divide(Y,U)),inverse(Z)),
inference('PARAMODULATE',[status(thm)],[single_axiom,3519,theory(equality)]) ).
cnf(3804,plain,
double_divide(X,double_divide(inverse(double_divide(Y,double_divide(Z,Y))),X)) = inverse(Z),
inference('REWRITE',[status(thm)],[276,2424,3729,theory(equality)]) ).
cnf(3832,plain,
inverse(inverse(X)) = double_divide(double_divide(inverse(double_divide(Y,inverse(double_divide(X,Z)))),inverse(Z)),Y),
inference('REWRITE',[status(thm)],[951,3804,theory(equality)]) ).
cnf(3986,plain,
double_divide(double_divide(X,inverse(double_divide(double_divide(inverse(double_divide(Y,Z)),inverse(U)),Y))),double_divide(inverse(V),inverse(double_divide(W,double_divide(X,W))))) = double_divide(double_divide(U,inverse(Z)),V),
inference('PARAMODULATE',[status(thm)],[37,3519,theory(equality)]) ).
cnf(4014,plain,
double_divide(inverse(X),double_divide(Y,double_divide(Z,double_divide(U,double_divide(Y,U))))) = double_divide(inverse(double_divide(V,double_divide(X,V))),Z),
inference('PARAMODULATE',[status(thm)],[786,3804,theory(equality)]) ).
cnf(4020,plain,
double_divide(double_divide(X,double_divide(Y,X)),double_divide(inverse(Z),Y)) = inverse(Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3804,690,theory(equality)]),2419,theory(equality)]) ).
cnf(4051,plain,
double_divide(double_divide(X,inverse(inverse(Y))),double_divide(inverse(Z),inverse(double_divide(U,double_divide(X,U))))) = double_divide(inverse(double_divide(V,double_divide(Y,V))),Z),
inference('PARAMODULATE',[status(thm)],[37,3804,theory(equality)]) ).
cnf(4064,plain,
double_divide(X,double_divide(inverse(double_divide(double_divide(inverse(Y),inverse(double_divide(inverse(double_divide(Y,Z)),U))),Z)),X)) = inverse(U),
inference('PARAMODULATE',[status(thm)],[3804,127,theory(equality)]) ).
cnf(4068,plain,
double_divide(X,double_divide(inverse(double_divide(Y,double_divide(Z,Y))),inverse(double_divide(U,double_divide(V,double_divide(X,V)))))) = double_divide(inverse(U),inverse(inverse(Z))),
inference('PARAMODULATE',[status(thm)],[19,3804,theory(equality)]) ).
cnf(4090,plain,
double_divide(X,double_divide(inverse(double_divide(inverse(double_divide(inverse(inverse(double_divide(Y,inverse(Y)))),Z)),U)),X)) = inverse(double_divide(Z,U)),
inference('PARAMODULATE',[status(thm)],[3804,3067,theory(equality)]) ).
cnf(4145,plain,
double_divide(double_divide(X,Y),X) = double_divide(inverse(double_divide(inverse(Z),Z)),inverse(Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1325,4020,theory(equality)]),3635,theory(equality)]) ).
cnf(4155,plain,
double_divide(X,double_divide(inverse(double_divide(Y,double_divide(Z,Y))),inverse(double_divide(inverse(inverse(U)),X)))) = double_divide(inverse(U),Z),
inference('PARAMODULATE',[status(thm)],[127,4020,theory(equality)]) ).
cnf(4176,plain,
double_divide(double_divide(inverse(double_divide(X,double_divide(double_divide(Y,inverse(Z)),X))),inverse(U)),Y) = double_divide(U,inverse(inverse(Z))),
inference('PARAMODULATE',[status(thm)],[2223,4020,theory(equality)]) ).
cnf(4181,plain,
double_divide(double_divide(double_divide(X,double_divide(Y,X)),Z),Y) = Z,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[860,4020,theory(equality)]),1382,theory(equality)]) ).
cnf(4184,plain,
double_divide(double_divide(X,Y),double_divide(double_divide(Z,X),Z)) = Y,
inference('REWRITE',[status(thm)],[1343,4181,theory(equality)]) ).
cnf(4185,plain,
double_divide(X,double_divide(double_divide(double_divide(Y,Z),Y),inverse(double_divide(U,double_divide(V,double_divide(X,V)))))) = double_divide(inverse(U),inverse(Z)),
inference('REWRITE',[status(thm)],[2089,4184,theory(equality)]) ).
cnf(4187,plain,
double_divide(inverse(X),inverse(Y)) = double_divide(inverse(X),inverse(double_divide(double_divide(Z,double_divide(U,Z)),double_divide(Y,U)))),
inference('REWRITE',[status(thm)],[1736,4185,theory(equality)]) ).
cnf(4188,plain,
double_divide(X,double_divide(double_divide(inverse(Y),inverse(double_divide(double_divide(Z,U),Z))),X)) = double_divide(inverse(Y),inverse(U)),
inference('REWRITE',[status(thm)],[2353,4187,theory(equality)]) ).
cnf(4189,plain,
double_divide(inverse(X),inverse(Y)) = double_divide(inverse(X),inverse(double_divide(Z,double_divide(double_divide(double_divide(U,Y),U),Z)))),
inference('REWRITE',[status(thm)],[2348,4188,theory(equality)]) ).
cnf(4195,plain,
double_divide(double_divide(X,Y),double_divide(Z,inverse(double_divide(U,double_divide(X,U))))) = double_divide(inverse(Y),inverse(Z)),
inference('REWRITE',[status(thm)],[1446,4189,theory(equality)]) ).
cnf(4197,plain,
double_divide(inverse(inverse(inverse(X))),inverse(inverse(Y))) = double_divide(inverse(double_divide(Z,double_divide(X,Z))),Y),
inference('REWRITE',[status(thm)],[4051,4195,theory(equality)]) ).
cnf(4199,plain,
double_divide(inverse(double_divide(inverse(inverse(inverse(X))),inverse(inverse(X)))),inverse(Y)) = Y,
inference('REWRITE',[status(thm)],[3656,4197,theory(equality)]) ).
cnf(4200,plain,
double_divide(inverse(inverse(double_divide(double_divide(inverse(double_divide(X,Y)),inverse(Z)),X))),inverse(inverse(U))) = double_divide(double_divide(Z,inverse(Y)),U),
inference('REWRITE',[status(thm)],[3986,4195,theory(equality)]) ).
cnf(4211,plain,
double_divide(inverse(inverse(double_divide(inverse(double_divide(inverse(inverse(double_divide(X,inverse(X)))),Y)),Z))),inverse(inverse(U))) = double_divide(double_divide(Y,Z),U),
inference('REWRITE',[status(thm)],[3328,4195,theory(equality)]) ).
cnf(4225,plain,
double_divide(inverse(double_divide(double_divide(X,inverse(Y)),X)),inverse(inverse(Z))) = double_divide(Y,Z),
inference('REWRITE',[status(thm)],[2476,4195,theory(equality)]) ).
cnf(4226,plain,
double_divide(double_divide(X,double_divide(Y,X)),double_divide(Z,Y)) = Z,
inference('REWRITE',[status(thm)],[3654,4225,theory(equality)]) ).
cnf(4227,plain,
double_divide(inverse(inverse(double_divide(X,Y))),inverse(inverse(X))) = Y,
inference('REWRITE',[status(thm)],[2796,4226,theory(equality)]) ).
cnf(4232,plain,
double_divide(double_divide(X,double_divide(inverse(Y),inverse(double_divide(Z,double_divide(U,Z))))),X) = double_divide(inverse(Y),inverse(U)),
inference('REWRITE',[status(thm)],[2315,4226,theory(equality)]) ).
cnf(4234,plain,
double_divide(double_divide(X,double_divide(Y,inverse(double_divide(Z,U)))),X) = double_divide(double_divide(inverse(Z),inverse(Y)),U),
inference('REWRITE',[status(thm)],[2064,4232,theory(equality)]) ).
cnf(4252,plain,
double_divide(double_divide(inverse(inverse(inverse(double_divide(X,inverse(X))))),inverse(Y)),Z) = double_divide(Y,Z),
inference('REWRITE',[status(thm)],[3254,4234,theory(equality)]) ).
cnf(4253,plain,
inverse(X) = double_divide(X,inverse(double_divide(Y,inverse(Y)))),
inference('REWRITE',[status(thm)],[3270,4252,theory(equality)]) ).
cnf(4270,plain,
inverse(inverse(a2)) != a2,
inference('REWRITE',[status(thm)],[4,4253,theory(equality)]) ).
cnf(4291,plain,
double_divide(inverse(X),inverse(Y)) = double_divide(double_divide(Z,double_divide(U,Z)),double_divide(Y,inverse(double_divide(X,double_divide(V,double_divide(U,V)))))),
inference('REWRITE',[status(thm)],[1895,4232,theory(equality)]) ).
cnf(4292,plain,
double_divide(X,double_divide(Y,inverse(double_divide(Z,X)))) = double_divide(inverse(Z),inverse(Y)),
inference('REWRITE',[status(thm)],[1845,4291,theory(equality)]) ).
cnf(4293,plain,
double_divide(inverse(inverse(inverse(X))),inverse(inverse(double_divide(Y,double_divide(Z,Y))))) = double_divide(inverse(X),Z),
inference('REWRITE',[status(thm)],[4155,4292,theory(equality)]) ).
cnf(4298,plain,
double_divide(inverse(inverse(X)),inverse(inverse(double_divide(Y,inverse(Z))))) = double_divide(inverse(double_divide(X,Z)),inverse(Y)),
inference('REWRITE',[status(thm)],[3652,4292,theory(equality)]) ).
cnf(4301,plain,
double_divide(inverse(inverse(inverse(double_divide(X,inverse(X))))),inverse(Y)) = Y,
inference('REWRITE',[status(thm)],[3323,4292,theory(equality)]) ).
cnf(4302,plain,
double_divide(X,Y) = double_divide(Z,double_divide(double_divide(double_divide(U,double_divide(X,U)),Y),Z)),
inference('REWRITE',[status(thm)],[3228,4301,theory(equality)]) ).
cnf(4303,plain,
double_divide(X,Y) = double_divide(inverse(inverse(double_divide(Z,inverse(Z)))),inverse(double_divide(X,Y))),
inference('REWRITE',[status(thm)],[3094,4302,theory(equality)]) ).
cnf(4306,plain,
double_divide(double_divide(inverse(double_divide(X,double_divide(Y,X))),Z),inverse(double_divide(U,double_divide(Y,U)))) = Z,
inference('REWRITE',[status(thm)],[3248,4303,theory(equality)]) ).
cnf(4308,plain,
double_divide(double_divide(X,double_divide(Y,X)),Z) = double_divide(Y,Z),
inference('REWRITE',[status(thm)],[1828,4306,theory(equality)]) ).
cnf(4309,plain,
double_divide(inverse(X),inverse(Y)) = double_divide(Z,double_divide(Y,inverse(double_divide(X,double_divide(U,double_divide(Z,U)))))),
inference('REWRITE',[status(thm)],[4291,4308,theory(equality)]) ).
cnf(4311,plain,
double_divide(inverse(X),inverse(inverse(double_divide(Y,double_divide(Z,Y))))) = double_divide(inverse(X),inverse(inverse(Z))),
inference('REWRITE',[status(thm)],[4068,4309,theory(equality)]) ).
cnf(4312,plain,
double_divide(inverse(inverse(inverse(X))),inverse(inverse(Y))) = double_divide(inverse(X),Y),
inference('REWRITE',[status(thm)],[4293,4311,theory(equality)]) ).
cnf(4322,plain,
double_divide(inverse(double_divide(inverse(X),X)),inverse(Y)) = Y,
inference('REWRITE',[status(thm)],[4199,4312,theory(equality)]) ).
cnf(4323,plain,
double_divide(double_divide(X,Y),X) = Y,
inference('REWRITE',[status(thm)],[4145,4322,theory(equality)]) ).
cnf(4324,plain,
double_divide(X,double_divide(Y,double_divide(Z,double_divide(U,double_divide(Y,U))))) = double_divide(X,Z),
inference('REWRITE',[status(thm)],[1767,4323,theory(equality)]) ).
cnf(4325,plain,
double_divide(inverse(X),Y) = double_divide(inverse(double_divide(Z,double_divide(X,Z))),Y),
inference('REWRITE',[status(thm)],[4014,4324,theory(equality)]) ).
cnf(4328,plain,
double_divide(double_divide(inverse(double_divide(X,inverse(Y))),inverse(Z)),X) = double_divide(Z,inverse(inverse(Y))),
inference('REWRITE',[status(thm)],[4176,4325,theory(equality)]) ).
cnf(4333,plain,
inverse(inverse(X)) = double_divide(Y,inverse(inverse(double_divide(X,Y)))),
inference('REWRITE',[status(thm)],[3832,4328,theory(equality)]) ).
cnf(4334,plain,
double_divide(X,inverse(inverse(Y))) = double_divide(X,inverse(double_divide(inverse(double_divide(Y,Z)),double_divide(inverse(U),inverse(double_divide(U,Z)))))),
inference('REWRITE',[status(thm)],[3397,4328,theory(equality)]) ).
cnf(4340,plain,
double_divide(X,inverse(inverse(Y))) = double_divide(X,inverse(double_divide(Z,double_divide(inverse(Y),Z)))),
inference('REWRITE',[status(thm)],[644,4334,theory(equality)]) ).
cnf(4353,plain,
double_divide(inverse(double_divide(double_divide(double_divide(inverse(double_divide(X,Y)),inverse(Z)),X),Z)),inverse(inverse(U))) = double_divide(Y,U),
inference('REWRITE',[status(thm)],[3365,4340,theory(equality)]) ).
cnf(4356,plain,
X = double_divide(Y,double_divide(X,Y)),
inference('REWRITE',[status(thm)],[2819,4227,4298,4340,theory(equality)]) ).
cnf(4359,plain,
inverse(double_divide(inverse(double_divide(inverse(inverse(double_divide(X,inverse(X)))),Y)),Z)) = inverse(double_divide(Y,Z)),
inference('REWRITE',[status(thm)],[4090,4356,theory(equality)]) ).
cnf(4366,plain,
double_divide(inverse(inverse(double_divide(X,Y))),inverse(inverse(Z))) = double_divide(double_divide(X,Y),Z),
inference('REWRITE',[status(thm)],[4211,4359,theory(equality)]) ).
cnf(4370,plain,
double_divide(double_divide(double_divide(inverse(double_divide(X,Y)),inverse(Z)),X),U) = double_divide(double_divide(Z,inverse(Y)),U),
inference('REWRITE',[status(thm)],[4200,4366,theory(equality)]) ).
cnf(4372,plain,
double_divide(inverse(inverse(X)),inverse(inverse(Y))) = double_divide(X,Y),
inference('REWRITE',[status(thm)],[4353,4323,4370,theory(equality)]) ).
cnf(4380,plain,
inverse(double_divide(double_divide(inverse(X),inverse(double_divide(inverse(double_divide(X,Y)),Z))),Y)) = inverse(Z),
inference('REWRITE',[status(thm)],[4064,4356,theory(equality)]) ).
cnf(4381,plain,
double_divide(double_divide(inverse(double_divide(X,Y)),inverse(Z)),X) = double_divide(Z,inverse(Y)),
inference('REWRITE',[status(thm)],[3433,4380,theory(equality)]) ).
cnf(4390,plain,
double_divide(inverse(X),inverse(Y)) = double_divide(inverse(Z),inverse(double_divide(Z,double_divide(Y,X)))),
inference('REWRITE',[status(thm)],[3343,4381,theory(equality)]) ).
cnf(4391,plain,
double_divide(inverse(X),inverse(Y)) = double_divide(double_divide(inverse(double_divide(Z,Y)),X),Z),
inference('REWRITE',[status(thm)],[642,4372,4390,theory(equality)]) ).
cnf(4392,plain,
double_divide(inverse(inverse(X)),inverse(Y)) = double_divide(X,inverse(Y)),
inference('REWRITE',[status(thm)],[4381,4391,theory(equality)]) ).
cnf(4413,plain,
double_divide(X,inverse(inverse(Y))) = double_divide(X,Y),
inference('REWRITE',[status(thm)],[4372,4392,theory(equality)]) ).
cnf(4418,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[4333,4356,4413,theory(equality)]) ).
cnf(4422,plain,
$false,
inference('REWRITE',[status(thm)],[4270,4418,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : GRP503-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n025.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.17/0.32 % CPULimit : 300
% 0.17/0.32 % WCLimit : 600
% 0.17/0.32 % DateTime : Tue Jun 14 14:01:40 EDT 2022
% 0.17/0.32 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T14:01:40
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-14T14:01:40
% 2.55/2.76
% 2.55/2.76
% 2.55/2.76 #||
% 2.55/2.76 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.55/2.76 % SZS output start Refutation
% See solution above
% 2.55/2.79 ||#
% 2.55/2.79
% 2.55/2.79 ; Summary of computation:
% 2.55/2.79 ; 13675 formulas have been input or derived (from 50 formulas).
% 2.55/2.79 ; 4422 (32%) were retained. Of these,
% 2.55/2.79 ; 4377 (99%) were simplified or subsumed later,
% 2.55/2.79 ; 45 ( 1%) are still being kept.
% 2.55/2.79 ;
% 2.55/2.79 ; Run time in seconds excluding printing time:
% 2.55/2.79 ; 0.001 0% Read assertion file (1 call)
% 2.55/2.79 ; 0.001 0% Assert (3 calls)
% 2.55/2.79 ; 0.659 29% Process new row (10,127 calls)
% 2.55/2.79 ; 0.009 0% Resolution (98 calls)
% 2.55/2.79 ; 0.219 10% Paramodulation (49 calls)
% 2.55/2.79 ; 0.655 28% Forward simplification (9,695 calls)
% 2.55/2.79 ; 0.619 27% Backward simplification (4,421 calls)
% 2.55/2.79 ; 0.074 3% Ordering (21,826 calls)
% 2.55/2.79 ; 0.000 0% Sortal reasoning (32 calls)
% 2.55/2.79 ; 0.000 0% Purity testing (1 call)
% 2.55/2.79 ; 0.065 3% Other
% 2.55/2.79 ; 2.302 Total
% 2.55/2.79 ; 2.336 Real time
% 2.55/2.79 ;
% 2.55/2.79 ; Term-hash-array has 17,538 terms in all.
% 2.55/2.79 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 2.55/2.79 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 2.55/2.79 ; Path-index has 201 entries (14,183 at peak, 17,774 added, 17,573 deleted).
% 2.55/2.79 ; Path-index has 11,125 nodes (16,303 at peak, 17,801 added, 6,676 deleted).
% 2.55/2.79 ; Trie-index has 201 entries (14,183 at peak, 17,774 added, 17,573 deleted).
% 2.55/2.79 ; Trie-index has 847 nodes (70,491 at peak, 88,815 added, 87,968 deleted).
% 2.55/2.79 ; Retrieved 24,025 generalization terms in 98,819 calls.
% 2.55/2.79 ; Retrieved 31,084 instance terms in 4,539 calls.
% 2.55/2.79 ; Retrieved 120,114 unifiable terms in 500 calls.
% 2.55/2.79 ;
% 2.55/2.79 ; The agenda of backward simplifiable rows to process has 3366 entries:
% 2.55/2.79 ; 3366 with value 0
% 2.55/2.79 ; The agenda of rows to process has 104 entries:
% 2.55/2.79 ; 14 with value 38 8 with value 42 5 with value 46
% 2.55/2.79 ; 24 with value 39 6 with value 43 1 with value 47
% 2.55/2.79 ; 14 with value 40 3 with value 44 1 with value 48
% 2.55/2.79 ; 23 with value 41 5 with value 45
% 2.55/2.79 ; The agenda of rows to give has 42 entries:
% 2.55/2.79 ; 1 with value (4 16) 4 with value (4 27) 1 with value (4 33)
% 2.55/2.79 ; 2 with value (4 18) 5 with value (4 28) 1 with value (4 34)
% 2.55/2.79 ; 1 with value (4 19) 5 with value (4 29) 3 with value (4 36)
% 2.55/2.79 ; 1 with value (4 21) 2 with value (4 30) 2 with value (4 37)
% 2.55/2.79 ; 2 with value (4 22) 2 with value (4 31) 1 with value (4 39)
% 2.55/2.79 ; 2 with value (4 23) 2 with value (4 32) 2 with value (4 40)
% 2.55/2.79 ; 3 with value (4 26)
% 2.55/2.79 Evaluation took:
% 2.55/2.79 2.337 seconds of real time
% 2.55/2.79 2.17581 seconds of user run time
% 2.55/2.79 0.161095 seconds of system run time
% 2.55/2.79 [Run times include 0.391 seconds GC run time.]
% 2.55/2.79 0 calls to %EVAL
% 2.55/2.79 0 page faults and
% 2.55/2.79 188,111,312 bytes consed.
% 2.55/2.79 :PROOF-FOUND
% 2.55/2.79 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-14T14:01:42
% 2.55/2.79 :PROOF-FOUND
% 2.55/2.79 *
%------------------------------------------------------------------------------