TSTP Solution File: GRP501-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP501-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 11:39:10 EDT 2022
% Result : Unsatisfiable 2.26s 2.45s
% Output : Refutation 2.26s
% Verified :
% SZS Type : Refutation
% Derivation depth : 35
% Number of leaves : 3
% Syntax : Number of clauses : 104 ( 104 unt; 0 nHn; 5 RR)
% Number of literals : 104 ( 103 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 11 ( 3 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 : 402 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
double_divide(inverse(X),inverse(double_divide(inverse(double_divide(X,double_divide(Y,Z))),double_divide(U,double_divide(Y,U))))) = Z,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = inverse(double_divide(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(prove_these_axioms_3,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_3) ).
cnf(4,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != inverse(double_divide(inverse(double_divide(c3,b3)),a3)),
inference('REWRITE',[status(thm)],[prove_these_axioms_3,multiply,theory(equality)]) ).
cnf(5,plain,
double_divide(inverse(X),inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,double_divide(inverse(U),Z))))) = inverse(double_divide(inverse(double_divide(U,double_divide(V,Y))),double_divide(W,double_divide(V,W)))),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(7,plain,
inverse(double_divide(inverse(double_divide(X,double_divide(Y,double_divide(inverse(X),Z)))),double_divide(U,double_divide(Y,U)))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(8,plain,
double_divide(inverse(X),double_divide(inverse(Y),inverse(double_divide(inverse(double_divide(Y,Z)),double_divide(U,double_divide(inverse(X),U)))))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(11,plain,
double_divide(inverse(inverse(double_divide(X,double_divide(Y,Z)))),inverse(double_divide(double_divide(inverse(U),inverse(double_divide(inverse(double_divide(U,Z)),double_divide(V,double_divide(inverse(X),V))))),double_divide(W,double_divide(X1,W))))) = double_divide(Y,X1),
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(20,plain,
double_divide(X,inverse(Y)) = inverse(double_divide(inverse(double_divide(Y,double_divide(Z,double_divide(U,double_divide(X,U))))),double_divide(V,double_divide(Z,V)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]),11,theory(equality)]) ).
cnf(26,plain,
double_divide(inverse(inverse(double_divide(X,double_divide(Y,double_divide(inverse(X),Z))))),inverse(double_divide(Z,double_divide(U,double_divide(V,U))))) = double_divide(Y,V),
inference('PARAMODULATE',[status(thm)],[single_axiom,7,theory(equality)]) ).
cnf(36,plain,
double_divide(X,double_divide(inverse(Y),inverse(double_divide(inverse(double_divide(Y,Z)),double_divide(U,double_divide(X,U)))))) = Z,
inference('PARAMODULATE',[status(thm)],[8,7,theory(equality)]) ).
cnf(37,plain,
inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,double_divide(U,Z)))) = inverse(double_divide(inverse(double_divide(X,Y)),double_divide(V,double_divide(U,V)))),
inference('PARAMODULATE',[status(thm)],[7,36,theory(equality)]) ).
cnf(42,plain,
double_divide(X,double_divide(Y,X)) = double_divide(Z,double_divide(Y,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[36,7,theory(equality)]),26,theory(equality)]) ).
cnf(56,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)],[42,42,theory(equality)]) ).
cnf(57,plain,
double_divide(inverse(X),inverse(double_divide(inverse(double_divide(Y,double_divide(Z,Y))),double_divide(U,double_divide(Z,U))))) = X,
inference('PARAMODULATE',[status(thm)],[single_axiom,42,theory(equality)]) ).
cnf(58,plain,
inverse(double_divide(inverse(double_divide(X,double_divide(Y,double_divide(inverse(X),Y)))),double_divide(Z,double_divide(U,Z)))) = U,
inference('PARAMODULATE',[status(thm)],[7,42,theory(equality)]) ).
cnf(73,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)],[42,56,theory(equality)]) ).
cnf(82,plain,
inverse(double_divide(inverse(double_divide(X,double_divide(Y,double_divide(Z,Y)))),double_divide(U,double_divide(double_divide(V,Z),U)))) = double_divide(V,inverse(X)),
inference('PARAMODULATE',[status(thm)],[7,56,theory(equality)]) ).
cnf(146,plain,
double_divide(inverse(X),double_divide(Y,inverse(double_divide(Z,double_divide(Y,Z))))) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[single_axiom,73,theory(equality)]),82,theory(equality)]) ).
cnf(173,plain,
inverse(double_divide(inverse(double_divide(X,double_divide(Y,double_divide(double_divide(Z,double_divide(U,Z)),double_divide(V,double_divide(W,V)))))),double_divide(X1,double_divide(Y,X1)))) = double_divide(double_divide(U,W),inverse(X)),
inference('PARAMODULATE',[status(thm)],[7,73,theory(equality)]) ).
cnf(189,plain,
double_divide(X,double_divide(inverse(Y),X)) = double_divide(double_divide(Z,inverse(double_divide(U,double_divide(Z,U)))),Y),
inference('PARAMODULATE',[status(thm)],[42,146,theory(equality)]) ).
cnf(190,plain,
double_divide(inverse(X),double_divide(Y,inverse(double_divide(double_divide(Z,Y),double_divide(U,double_divide(Z,U)))))) = X,
inference('PARAMODULATE',[status(thm)],[146,42,theory(equality)]) ).
cnf(347,plain,
double_divide(X,double_divide(Y,inverse(double_divide(Z,double_divide(Y,Z))))) = double_divide(inverse(double_divide(U,double_divide(V,double_divide(inverse(U),V)))),double_divide(W,double_divide(X,W))),
inference('PARAMODULATE',[status(thm)],[146,58,theory(equality)]) ).
cnf(353,plain,
inverse(double_divide(inverse(double_divide(X,double_divide(Y,double_divide(inverse(X),Y)))),double_divide(double_divide(inverse(Z),inverse(double_divide(inverse(double_divide(Z,U)),double_divide(V,double_divide(W,V))))),U))) = W,
inference('PARAMODULATE',[status(thm)],[58,36,theory(equality)]) ).
cnf(368,plain,
inverse(double_divide(inverse(double_divide(X,double_divide(Y,double_divide(inverse(X),Y)))),double_divide(inverse(double_divide(inverse(double_divide(Z,U)),double_divide(V,double_divide(inverse(W),V)))),inverse(double_divide(inverse(double_divide(W,double_divide(X1,U))),double_divide(Y1,double_divide(X1,Y1))))))) = inverse(Z),
inference('PARAMODULATE',[status(thm)],[58,5,theory(equality)]) ).
cnf(436,plain,
double_divide(X,double_divide(inverse(Y),X)) = double_divide(double_divide(Z,inverse(double_divide(double_divide(inverse(U),inverse(double_divide(inverse(double_divide(U,V)),double_divide(W,double_divide(Z,W))))),V))),Y),
inference('PARAMODULATE',[status(thm)],[189,36,theory(equality)]) ).
cnf(437,plain,
double_divide(X,double_divide(inverse(Y),inverse(double_divide(inverse(double_divide(double_divide(Z,inverse(double_divide(U,double_divide(Z,U)))),V)),double_divide(W,double_divide(X,W)))))) = double_divide(inverse(V),Y),
inference('PARAMODULATE',[status(thm)],[36,189,theory(equality)]) ).
cnf(449,plain,
inverse(double_divide(X,double_divide(Y,inverse(double_divide(Z,double_divide(Y,Z)))))) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[58,189,theory(equality)]),58,theory(equality)]) ).
cnf(467,plain,
inverse(double_divide(X,double_divide(Y,X))) = inverse(double_divide(Z,double_divide(Y,Z))),
inference('PARAMODULATE',[status(thm)],[449,42,theory(equality)]) ).
cnf(468,plain,
inverse(double_divide(double_divide(X,Y),double_divide(Z,double_divide(X,Z)))) = inverse(double_divide(U,double_divide(Y,U))),
inference('PARAMODULATE',[status(thm)],[449,56,theory(equality)]) ).
cnf(470,plain,
inverse(double_divide(X,double_divide(Y,inverse(double_divide(double_divide(Z,Y),double_divide(U,double_divide(Z,U))))))) = X,
inference('PARAMODULATE',[status(thm)],[449,42,theory(equality)]) ).
cnf(472,plain,
inverse(double_divide(double_divide(X,inverse(double_divide(Y,double_divide(X,Y)))),Z)) = inverse(double_divide(U,double_divide(inverse(Z),U))),
inference('PARAMODULATE',[status(thm)],[449,189,theory(equality)]) ).
cnf(521,plain,
double_divide(X,inverse(inverse(double_divide(Y,double_divide(Z,double_divide(inverse(Y),U)))))) = inverse(double_divide(U,double_divide(V,double_divide(double_divide(X,Z),V)))),
inference('PARAMODULATE',[status(thm)],[20,7,theory(equality)]) ).
cnf(522,plain,
double_divide(X,inverse(inverse(double_divide(Y,double_divide(Z,double_divide(inverse(Y),Z)))))) = inverse(double_divide(U,double_divide(V,double_divide(double_divide(X,U),V)))),
inference('PARAMODULATE',[status(thm)],[20,58,theory(equality)]) ).
cnf(559,plain,
double_divide(double_divide(X,double_divide(Y,X)),inverse(Z)) = double_divide(double_divide(U,double_divide(Y,U)),inverse(Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[20,73,theory(equality)]),173,theory(equality)]) ).
cnf(619,plain,
double_divide(double_divide(X,double_divide(Y,X)),Z) = double_divide(double_divide(U,double_divide(Y,U)),Z),
inference('PARAMODULATE',[status(thm)],[559,7,theory(equality)]) ).
cnf(972,plain,
inverse(double_divide(X,double_divide(Y,double_divide(Z,Y)))) = inverse(double_divide(X,double_divide(U,double_divide(Z,U)))),
inference('PARAMODULATE',[status(thm)],[37,7,theory(equality)]) ).
cnf(974,plain,
inverse(double_divide(X,double_divide(double_divide(Y,Z),double_divide(U,double_divide(Y,U))))) = inverse(double_divide(X,double_divide(V,double_divide(Z,V)))),
inference('PARAMODULATE',[status(thm)],[972,42,theory(equality)]) ).
cnf(1015,plain,
inverse(double_divide(X,double_divide(inverse(Y),X))) = inverse(double_divide(double_divide(Z,inverse(double_divide(double_divide(U,Z),double_divide(V,double_divide(U,V))))),Y)),
inference('PARAMODULATE',[status(thm)],[467,190,theory(equality)]) ).
cnf(1058,plain,
double_divide(X,double_divide(Y,X)) = double_divide(double_divide(Z,double_divide(inverse(Y),Z)),double_divide(U,double_divide(double_divide(V,inverse(double_divide(double_divide(W,V),double_divide(X1,double_divide(W,X1))))),U))),
inference('PARAMODULATE',[status(thm)],[73,190,theory(equality)]) ).
cnf(1110,plain,
inverse(double_divide(double_divide(X,inverse(Y)),double_divide(Z,double_divide(X,Z)))) = inverse(double_divide(double_divide(U,inverse(double_divide(double_divide(V,U),double_divide(W,double_divide(V,W))))),Y)),
inference('PARAMODULATE',[status(thm)],[468,190,theory(equality)]) ).
cnf(1156,plain,
inverse(double_divide(double_divide(X,inverse(Y)),double_divide(Z,double_divide(X,Z)))) = inverse(double_divide(inverse(double_divide(inverse(double_divide(Y,U)),double_divide(V,double_divide(inverse(W),V)))),inverse(double_divide(inverse(double_divide(W,double_divide(X1,U))),double_divide(Y1,double_divide(X1,Y1)))))),
inference('PARAMODULATE',[status(thm)],[468,5,theory(equality)]) ).
cnf(1661,plain,
inverse(double_divide(X,double_divide(Y,double_divide(Z,double_divide(inverse(Y),Z))))) = inverse(double_divide(X,double_divide(U,double_divide(double_divide(V,inverse(double_divide(double_divide(W,V),double_divide(X1,double_divide(W,X1))))),U)))),
inference('PARAMODULATE',[status(thm)],[974,190,theory(equality)]) ).
cnf(1689,plain,
double_divide(X,Y) = inverse(double_divide(Z,double_divide(X,double_divide(inverse(Z),inverse(double_divide(U,double_divide(Y,U))))))),
inference('PARAMODULATE',[status(thm)],[57,26,theory(equality)]) ).
cnf(1731,plain,
inverse(double_divide(inverse(double_divide(X,double_divide(Y,double_divide(inverse(X),Y)))),double_divide(inverse(double_divide(Z,double_divide(U,double_divide(V,U)))),double_divide(W,V)))) = inverse(inverse(double_divide(X1,double_divide(W,double_divide(inverse(X1),Z))))),
inference('PARAMODULATE',[status(thm)],[58,26,theory(equality)]) ).
cnf(1831,plain,
double_divide(inverse(X),inverse(Y)) = inverse(double_divide(Y,X)),
inference('PARAMODULATE',[status(thm)],[1689,146,theory(equality)]) ).
cnf(2051,plain,
double_divide(X,inverse(double_divide(double_divide(inverse(double_divide(double_divide(Y,inverse(double_divide(Z,double_divide(Y,Z)))),U)),double_divide(V,double_divide(X,V))),W))) = double_divide(inverse(U),W),
inference('REWRITE',[status(thm)],[437,1831,theory(equality)]) ).
cnf(2072,plain,
inverse(double_divide(inverse(double_divide(X,double_divide(Y,double_divide(inverse(X),Y)))),double_divide(inverse(double_divide(double_divide(inverse(double_divide(Z,U)),double_divide(V,double_divide(W,V))),Z)),U))) = W,
inference('REWRITE',[status(thm)],[353,1831,theory(equality)]) ).
cnf(2129,plain,
double_divide(X,double_divide(inverse(Y),X)) = double_divide(double_divide(Z,inverse(double_divide(inverse(double_divide(double_divide(inverse(double_divide(U,V)),double_divide(W,double_divide(Z,W))),U)),V))),Y),
inference('REWRITE',[status(thm)],[436,1831,theory(equality)]) ).
cnf(2182,plain,
double_divide(X,inverse(double_divide(double_divide(inverse(double_divide(Y,Z)),double_divide(U,double_divide(X,U))),Y))) = Z,
inference('REWRITE',[status(thm)],[36,1831,theory(equality)]) ).
cnf(2205,plain,
inverse(inverse(double_divide(double_divide(double_divide(inverse(double_divide(X,double_divide(Y,Z))),double_divide(U,double_divide(Y,U))),double_divide(inverse(double_divide(V,Z)),double_divide(W,double_divide(inverse(X),W)))),double_divide(X1,double_divide(Y1,double_divide(inverse(X1),Y1)))))) = inverse(V),
inference('REWRITE',[status(thm)],[368,1831,theory(equality)]) ).
cnf(2214,plain,
inverse(double_divide(double_divide(X,inverse(Y)),double_divide(Z,double_divide(X,Z)))) = inverse(inverse(double_divide(double_divide(inverse(double_divide(U,double_divide(V,W))),double_divide(X1,double_divide(V,X1))),double_divide(inverse(double_divide(Y,W)),double_divide(Y1,double_divide(inverse(U),Y1)))))),
inference('REWRITE',[status(thm)],[1156,1831,theory(equality)]) ).
cnf(2252,plain,
inverse(double_divide(double_divide(inverse(double_divide(X,double_divide(Y,Z))),double_divide(U,double_divide(Y,U))),X)) = Z,
inference('REWRITE',[status(thm)],[single_axiom,1831,theory(equality)]) ).
cnf(2338,plain,
double_divide(X,double_divide(inverse(Y),X)) = inverse(double_divide(double_divide(Z,Y),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[42,1831,theory(equality)]),1831,theory(equality)]) ).
cnf(2371,plain,
double_divide(inverse(X),Y) = inverse(double_divide(double_divide(Y,double_divide(Z,inverse(double_divide(U,double_divide(Z,U))))),X)),
inference('PARAMODULATE',[status(thm)],[1831,449,theory(equality)]) ).
cnf(2402,plain,
double_divide(X,inverse(Y)) = inverse(double_divide(Y,double_divide(inverse(double_divide(Z,double_divide(U,double_divide(inverse(Z),U)))),double_divide(V,double_divide(X,V))))),
inference('PARAMODULATE',[status(thm)],[1831,58,theory(equality)]) ).
cnf(2404,plain,
double_divide(inverse(X),Y) = inverse(double_divide(double_divide(inverse(double_divide(Z,double_divide(U,double_divide(inverse(Z),U)))),double_divide(V,double_divide(Y,V))),X)),
inference('PARAMODULATE',[status(thm)],[1831,58,theory(equality)]) ).
cnf(2412,plain,
inverse(double_divide(double_divide(X,Y),X)) = inverse(double_divide(double_divide(Z,Y),Z)),
inference('PARAMODULATE',[status(thm)],[2338,2338,theory(equality)]) ).
cnf(2521,plain,
double_divide(X,double_divide(double_divide(Y,inverse(Z)),X)) = inverse(double_divide(double_divide(U,double_divide(inverse(double_divide(Z,double_divide(V,double_divide(W,double_divide(Y,W))))),double_divide(X1,double_divide(V,X1)))),U)),
inference('PARAMODULATE',[status(thm)],[2338,20,theory(equality)]) ).
cnf(2540,plain,
double_divide(double_divide(X,Y),X) = double_divide(double_divide(Z,Y),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[146,2412,theory(equality)]),146,theory(equality)]) ).
cnf(2543,plain,
inverse(double_divide(X,inverse(X))) = double_divide(inverse(Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2412,146,theory(equality)]),2371,theory(equality)]) ).
cnf(2575,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)],[619,2540,theory(equality)]) ).
cnf(2666,plain,
double_divide(inverse(X),X) = double_divide(inverse(Y),Y),
inference('PARAMODULATE',[status(thm)],[2543,2543,theory(equality)]) ).
cnf(2668,plain,
inverse(double_divide(inverse(double_divide(X,inverse(X))),Y)) = Y,
inference('PARAMODULATE',[status(thm)],[2252,2543,theory(equality)]) ).
cnf(2676,plain,
double_divide(double_divide(inverse(X),X),inverse(Y)) = inverse(double_divide(Y,double_divide(Z,inverse(Z)))),
inference('PARAMODULATE',[status(thm)],[1831,2543,theory(equality)]) ).
cnf(2679,plain,
inverse(double_divide(X,double_divide(inverse(Y),X))) = inverse(double_divide(Y,inverse(double_divide(Z,inverse(Z))))),
inference('PARAMODULATE',[status(thm)],[467,2543,theory(equality)]) ).
cnf(2745,plain,
double_divide(X,inverse(double_divide(double_divide(inverse(inverse(double_divide(Y,inverse(Y)))),double_divide(Z,double_divide(X,Z))),inverse(U)))) = U,
inference('PARAMODULATE',[status(thm)],[2182,2543,theory(equality)]) ).
cnf(2750,plain,
inverse(double_divide(inverse(double_divide(X,inverse(double_divide(Y,inverse(Y))))),double_divide(Z,double_divide(inverse(double_divide(inverse(X),U)),Z)))) = U,
inference('PARAMODULATE',[status(thm)],[7,2543,theory(equality)]) ).
cnf(2787,plain,
inverse(double_divide(double_divide(inverse(X),X),Y)) = Y,
inference('PARAMODULATE',[status(thm)],[2252,2666,theory(equality)]) ).
cnf(2790,plain,
double_divide(double_divide(inverse(X),X),inverse(Y)) = double_divide(double_divide(Z,Y),Z),
inference('PARAMODULATE',[status(thm)],[2540,2666,theory(equality)]) ).
cnf(2795,plain,
inverse(X) = inverse(double_divide(double_divide(Y,X),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2412,2666,theory(equality)]),2787,theory(equality)]) ).
cnf(2800,plain,
double_divide(X,double_divide(double_divide(Y,inverse(Z)),X)) = double_divide(Y,inverse(Z)),
inference('REWRITE',[status(thm)],[2521,20,2795,theory(equality)]) ).
cnf(2804,plain,
double_divide(X,double_divide(Y,X)) = double_divide(double_divide(Z,double_divide(inverse(Y),Z)),double_divide(U,inverse(double_divide(double_divide(V,U),double_divide(W,double_divide(V,W)))))),
inference('REWRITE',[status(thm)],[1058,2800,theory(equality)]) ).
cnf(2806,plain,
inverse(double_divide(X,double_divide(Y,double_divide(Z,double_divide(inverse(Y),Z))))) = X,
inference('REWRITE',[status(thm)],[1661,470,2800,theory(equality)]) ).
cnf(2807,plain,
inverse(double_divide(double_divide(inverse(double_divide(X,double_divide(Y,Z))),double_divide(U,double_divide(Y,U))),double_divide(inverse(double_divide(V,Z)),double_divide(W,double_divide(inverse(X),W))))) = inverse(V),
inference('REWRITE',[status(thm)],[2205,2806,theory(equality)]) ).
cnf(2809,plain,
inverse(double_divide(double_divide(X,inverse(Y)),double_divide(Z,double_divide(X,Z)))) = inverse(inverse(Y)),
inference('REWRITE',[status(thm)],[2214,2807,theory(equality)]) ).
cnf(2819,plain,
inverse(inverse(X)) = inverse(double_divide(double_divide(Y,inverse(double_divide(double_divide(Z,Y),double_divide(U,double_divide(Z,U))))),X)),
inference('REWRITE',[status(thm)],[1110,2809,theory(equality)]) ).
cnf(2828,plain,
inverse(double_divide(X,double_divide(inverse(Y),X))) = inverse(inverse(Y)),
inference('REWRITE',[status(thm)],[1015,2819,theory(equality)]) ).
cnf(2843,plain,
inverse(inverse(X)) = inverse(double_divide(X,inverse(double_divide(Y,inverse(Y))))),
inference('REWRITE',[status(thm)],[2679,2828,theory(equality)]) ).
cnf(2845,plain,
inverse(double_divide(inverse(inverse(X)),double_divide(Y,double_divide(inverse(double_divide(inverse(X),Z)),Y)))) = Z,
inference('REWRITE',[status(thm)],[2750,2843,theory(equality)]) ).
cnf(2852,plain,
inverse(double_divide(double_divide(X,inverse(double_divide(Y,double_divide(X,Y)))),Z)) = inverse(inverse(Z)),
inference('REWRITE',[status(thm)],[472,2828,theory(equality)]) ).
cnf(2860,plain,
double_divide(X,inverse(double_divide(double_divide(inverse(inverse(Y)),double_divide(Z,double_divide(X,Z))),U))) = double_divide(inverse(Y),U),
inference('REWRITE',[status(thm)],[2051,2852,theory(equality)]) ).
cnf(2862,plain,
inverse(double_divide(X,double_divide(Y,inverse(Y)))) = X,
inference('REWRITE',[status(thm)],[2745,1831,2860,theory(equality)]) ).
cnf(2863,plain,
double_divide(double_divide(inverse(X),X),inverse(Y)) = Y,
inference('REWRITE',[status(thm)],[2676,2862,theory(equality)]) ).
cnf(2864,plain,
X = double_divide(double_divide(Y,X),Y),
inference('REWRITE',[status(thm)],[2790,2863,theory(equality)]) ).
cnf(2878,plain,
double_divide(X,Y) = double_divide(double_divide(Z,double_divide(X,Z)),Y),
inference('REWRITE',[status(thm)],[2575,2864,theory(equality)]) ).
cnf(2879,plain,
double_divide(X,double_divide(Y,X)) = Y,
inference('REWRITE',[status(thm)],[2804,190,2878,theory(equality)]) ).
cnf(2880,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[2845,2864,1831,2879,theory(equality)]) ).
cnf(2885,plain,
double_divide(X,double_divide(Y,double_divide(Z,double_divide(inverse(Y),U)))) = inverse(double_divide(U,double_divide(X,Z))),
inference('REWRITE',[status(thm)],[521,2880,2879,theory(equality)]) ).
cnf(2909,plain,
double_divide(inverse(X),Y) = inverse(double_divide(double_divide(inverse(double_divide(Z,inverse(Z))),Y),X)),
inference('REWRITE',[status(thm)],[2404,2879,theory(equality)]) ).
cnf(2910,plain,
inverse(X) = double_divide(double_divide(Y,inverse(double_divide(inverse(double_divide(double_divide(inverse(double_divide(Z,U)),Y),Z)),U))),X),
inference('REWRITE',[status(thm)],[2129,2879,theory(equality)]) ).
cnf(2918,plain,
double_divide(X,double_divide(Y,inverse(Y))) = inverse(X),
inference('REWRITE',[status(thm)],[522,2880,2879,theory(equality)]) ).
cnf(2921,plain,
double_divide(inverse(double_divide(double_divide(inverse(double_divide(X,Y)),Z),X)),Y) = Z,
inference('REWRITE',[status(thm)],[2072,2668,2879,theory(equality)]) ).
cnf(2922,plain,
inverse(X) = double_divide(double_divide(Y,inverse(Y)),X),
inference('REWRITE',[status(thm)],[2910,2921,theory(equality)]) ).
cnf(2924,plain,
inverse(double_divide(inverse(double_divide(X,Y)),double_divide(Z,Y))) = double_divide(Z,inverse(X)),
inference('REWRITE',[status(thm)],[82,2879,theory(equality)]) ).
cnf(2934,plain,
inverse(X) = double_divide(inverse(double_divide(Y,inverse(Y))),X),
inference('REWRITE',[status(thm)],[347,2918,2879,theory(equality)]) ).
cnf(2935,plain,
double_divide(inverse(X),Y) = inverse(double_divide(inverse(Y),X)),
inference('REWRITE',[status(thm)],[2909,2934,theory(equality)]) ).
cnf(2939,plain,
inverse(double_divide(c3,inverse(double_divide(b3,a3)))) != double_divide(inverse(a3),double_divide(c3,b3)),
inference('REWRITE',[status(thm)],[4,2935,theory(equality)]) ).
cnf(2948,plain,
double_divide(X,inverse(Y)) = inverse(double_divide(Y,inverse(X))),
inference('REWRITE',[status(thm)],[2402,2934,2879,theory(equality)]) ).
cnf(2950,plain,
double_divide(double_divide(b3,a3),inverse(c3)) != double_divide(inverse(a3),double_divide(c3,b3)),
inference('REWRITE',[status(thm)],[2939,2948,theory(equality)]) ).
cnf(2960,plain,
inverse(double_divide(X,inverse(Y))) = double_divide(Z,double_divide(X,double_divide(inverse(Z),Y))),
inference('REWRITE',[status(thm)],[1731,2880,2924,2922,2948,2879,theory(equality)]) ).
cnf(2964,plain,
double_divide(X,inverse(double_divide(Y,inverse(Z)))) = inverse(double_divide(Z,double_divide(X,Y))),
inference('REWRITE',[status(thm)],[2885,2960,theory(equality)]) ).
cnf(2993,plain,
double_divide(inverse(X),double_divide(Y,Z)) = inverse(double_divide(Y,inverse(double_divide(Z,X)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2964,1831,theory(equality)]),2880,1831,theory(equality)]) ).
cnf(2994,plain,
$false,
inference('REWRITE',[status(thm)],[2950,2880,2948,2993,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GRP501-1 : TPTP v8.1.0. Released v2.6.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n007.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jun 13 23:58:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T23:58:09
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-13T23:58:09
% 2.26/2.45
% 2.26/2.45
% 2.26/2.45 #||
% 2.26/2.45 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.26/2.45 % SZS output start Refutation
% See solution above
% 2.26/2.46 ||#
% 2.26/2.46
% 2.26/2.46 ; Summary of computation:
% 2.26/2.46 ; 11202 formulas have been input or derived (from 55 formulas).
% 2.26/2.46 ; 2994 (27%) were retained. Of these,
% 2.26/2.46 ; 2941 (98%) were simplified or subsumed later,
% 2.26/2.46 ; 53 ( 2%) are still being kept.
% 2.26/2.46 ;
% 2.26/2.46 ; Run time in seconds excluding printing time:
% 2.26/2.46 ; 0.001 0% Read assertion file (1 call)
% 2.26/2.46 ; 0.000 0% Assert (3 calls)
% 2.26/2.46 ; 0.431 22% Process new row (11,093 calls)
% 2.26/2.46 ; 0.004 0% Resolution (108 calls)
% 2.26/2.46 ; 0.190 10% Paramodulation (54 calls)
% 2.26/2.46 ; 0.671 34% Forward simplification (10,124 calls)
% 2.26/2.46 ; 0.521 26% Backward simplification (2,993 calls)
% 2.26/2.46 ; 0.108 5% Ordering (34,545 calls)
% 2.26/2.46 ; 0.000 0% Sortal reasoning (32 calls)
% 2.26/2.46 ; 0.000 0% Purity testing (1 call)
% 2.26/2.46 ; 0.064 3% Other
% 2.26/2.46 ; 1.990 Total
% 2.26/2.46 ; 2.006 Real time
% 2.26/2.46 ;
% 2.26/2.46 ; Term-hash-array has 11,864 terms in all.
% 2.26/2.47 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 2.26/2.47 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 2.26/2.47 ; Path-index has 220 entries (9,172 at peak, 12,651 added, 12,431 deleted).
% 2.26/2.47 ; Path-index has 9,700 nodes (13,657 at peak, 15,858 added, 6,158 deleted).
% 2.26/2.47 ; Trie-index has 220 entries (9,172 at peak, 12,651 added, 12,431 deleted).
% 2.26/2.47 ; Trie-index has 845 nodes (52,243 at peak, 72,510 added, 71,665 deleted).
% 2.26/2.47 ; Retrieved 55,024 generalization terms in 105,197 calls.
% 2.26/2.47 ; Retrieved 28,275 instance terms in 3,055 calls.
% 2.26/2.47 ; Retrieved 75,735 unifiable terms in 550 calls.
% 2.26/2.47 ;
% 2.26/2.47 ; The agenda of rows to process has 21 entries:
% 2.26/2.47 ; 1 with value 31 4 with value 34 2 with value 36
% 2.26/2.47 ; 4 with value 32 4 with value 35 4 with value 37
% 2.26/2.47 ; 2 with value 33
% 2.26/2.47 ; The agenda of rows to give has 43 entries:
% 2.26/2.47 ; 4 with value (4 23) 4 with value (4 28) 3 with value (4 32)
% 2.26/2.47 ; 7 with value (4 24) 3 with value (4 29) 2 with value (4 34)
% 2.26/2.47 ; 7 with value (4 25) 2 with value (4 30) 2 with value (4 35)
% 2.26/2.47 ; 3 with value (4 26) 1 with value (4 31) 1 with value (4 36)
% 2.26/2.47 ; 4 with value (4 27)
% 2.26/2.47 Evaluation took:
% 2.26/2.47 2.008 seconds of real time
% 2.26/2.47 1.849179 seconds of user run time
% 2.26/2.47 0.15792 seconds of system run time
% 2.26/2.47 [Run times include 0.281 seconds GC run time.]
% 2.26/2.47 0 calls to %EVAL
% 2.26/2.47 0 page faults and
% 2.26/2.47 151,458,632 bytes consed.
% 2.26/2.47 :PROOF-FOUND
% 2.26/2.47 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T23:58:11
% 2.26/2.47 :PROOF-FOUND
% 2.26/2.47 *
%------------------------------------------------------------------------------