TSTP Solution File: GRP469-1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP469-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:39:01 EDT 2022
% Result : Unsatisfiable 2.23s 2.44s
% Output : Refutation 2.23s
% Verified :
% SZS Type : Refutation
% Derivation depth : 41
% Number of leaves : 3
% Syntax : Number of clauses : 139 ( 139 unt; 0 nHn; 3 RR)
% Number of literals : 139 ( 138 equ; 2 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 13 ( 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 : 651 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(single_axiom,axiom,
divide(inverse(divide(X,divide(Y,divide(Z,U)))),divide(divide(U,Z),X)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',single_axiom) ).
cnf(multiply,axiom,
multiply(X,Y) = divide(X,inverse(Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',multiply) ).
cnf(prove_these_axioms_1,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_these_axioms_1) ).
cnf(4,plain,
divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
inference('REWRITE',[status(thm)],[prove_these_axioms_1,multiply,theory(equality)]) ).
cnf(5,plain,
divide(inverse(divide(X,Y)),divide(divide(Z,divide(U,V)),X)) = inverse(divide(Z,divide(Y,divide(V,U)))),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(6,plain,
divide(inverse(X),divide(divide(Y,Z),inverse(divide(divide(Z,Y),divide(X,divide(U,V)))))) = divide(V,U),
inference('PARAMODULATE',[status(thm)],[single_axiom,single_axiom,theory(equality)]) ).
cnf(9,plain,
inverse(divide(X,divide(divide(Y,divide(divide(Z,U),X)),divide(U,Z)))) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(10,plain,
divide(divide(inverse(divide(X,Y)),divide(divide(Z,divide(U,V)),X)),divide(divide(U,V),Z)) = Y,
inference('PARAMODULATE',[status(thm)],[single_axiom,5,theory(equality)]) ).
cnf(13,plain,
divide(inverse(divide(X,Y)),divide(Z,X)) = inverse(divide(inverse(divide(U,divide(Z,divide(V,W)))),divide(Y,divide(U,divide(W,V))))),
inference('PARAMODULATE',[status(thm)],[5,single_axiom,theory(equality)]) ).
cnf(18,plain,
divide(inverse(divide(X,divide(Y,divide(Z,U)))),divide(divide(inverse(divide(divide(V,W),X1)),divide(W,V)),X)) = inverse(inverse(divide(Y,divide(X1,divide(U,Z))))),
inference('PARAMODULATE',[status(thm)],[5,5,theory(equality)]) ).
cnf(27,plain,
inverse(inverse(divide(X,divide(Y,divide(inverse(divide(divide(Z,U),Y)),divide(U,Z)))))) = X,
inference('PARAMODULATE',[status(thm)],[9,5,theory(equality)]) ).
cnf(33,plain,
divide(divide(inverse(divide(X,Y)),divide(divide(Z,U),X)),divide(U,Z)) = Y,
inference('PARAMODULATE',[status(thm)],[10,10,theory(equality)]) ).
cnf(35,plain,
divide(divide(inverse(divide(divide(X,Y),Z)),U),divide(divide(divide(Y,X),V),inverse(divide(V,U)))) = Z,
inference('PARAMODULATE',[status(thm)],[33,33,theory(equality)]) ).
cnf(36,plain,
divide(inverse(divide(divide(X,Y),Z)),U) = inverse(divide(inverse(divide(V,U)),divide(Z,divide(V,divide(Y,X))))),
inference('PARAMODULATE',[status(thm)],[5,33,theory(equality)]) ).
cnf(37,plain,
divide(inverse(divide(X,Y)),divide(Z,X)) = divide(inverse(divide(divide(U,V),Y)),divide(Z,divide(U,V))),
inference('REWRITE',[status(thm)],[13,36,theory(equality)]) ).
cnf(39,plain,
inverse(divide(divide(X,Y),divide(divide(Z,U),divide(divide(divide(Y,X),V),inverse(divide(V,U)))))) = Z,
inference('PARAMODULATE',[status(thm)],[9,33,theory(equality)]) ).
cnf(41,plain,
divide(divide(X,divide(divide(Y,Z),U)),divide(Z,Y)) = divide(divide(X,divide(divide(V,W),U)),divide(W,V)),
inference('PARAMODULATE',[status(thm)],[33,9,theory(equality)]) ).
cnf(48,plain,
inverse(divide(X,divide(divide(Y,divide(Z,X)),divide(divide(U,V),divide(inverse(divide(W,Z)),divide(divide(V,U),W)))))) = Y,
inference('PARAMODULATE',[status(thm)],[9,33,theory(equality)]) ).
cnf(62,plain,
divide(inverse(divide(X,Y)),divide(Z,X)) = divide(inverse(divide(U,Y)),divide(Z,U)),
inference('PARAMODULATE',[status(thm)],[37,37,theory(equality)]) ).
cnf(63,plain,
divide(inverse(divide(inverse(divide(X,Y)),divide(Z,X))),divide(divide(U,V),inverse(divide(divide(V,U),Y)))) = Z,
inference('PARAMODULATE',[status(thm)],[single_axiom,62,theory(equality)]) ).
cnf(78,plain,
divide(inverse(divide(X,Y)),divide(divide(inverse(divide(divide(Z,U),V)),divide(U,Z)),X)) = inverse(divide(inverse(divide(W,V)),divide(Y,W))),
inference('PARAMODULATE',[status(thm)],[5,62,theory(equality)]) ).
cnf(107,plain,
divide(X,Y) = divide(divide(divide(Z,U),inverse(divide(divide(U,Z),divide(V,divide(X,Y))))),inverse(V)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6,6,theory(equality)]),6,theory(equality)]) ).
cnf(108,plain,
divide(divide(X,Y),inverse(divide(Y,Z))) = divide(divide(X,U),inverse(divide(U,Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6,62,theory(equality)]),6,theory(equality)]) ).
cnf(128,plain,
divide(divide(X,inverse(divide(Y,divide(Z,divide(U,V))))),inverse(Z)) = divide(divide(X,W),inverse(divide(W,divide(divide(V,U),Y)))),
inference('PARAMODULATE',[status(thm)],[108,single_axiom,theory(equality)]) ).
cnf(139,plain,
inverse(inverse(divide(inverse(divide(X,Y)),divide(Z,X)))) = inverse(divide(divide(inverse(divide(divide(U,V),Z)),divide(V,U)),Y)),
inference('PARAMODULATE',[status(thm)],[27,62,theory(equality)]) ).
cnf(155,plain,
X = divide(divide(divide(Y,Z),inverse(divide(divide(Z,Y),divide(U,X)))),inverse(U)),
inference('PARAMODULATE',[status(thm)],[107,single_axiom,theory(equality)]) ).
cnf(156,plain,
X = divide(divide(divide(divide(divide(X,Y),Z),inverse(divide(Z,U))),inverse(U)),inverse(Y)),
inference('PARAMODULATE',[status(thm)],[155,33,theory(equality)]) ).
cnf(157,plain,
divide(X,Y) = divide(divide(divide(Z,U),V),inverse(divide(V,divide(divide(Y,X),divide(U,Z))))),
inference('PARAMODULATE',[status(thm)],[155,9,theory(equality)]) ).
cnf(158,plain,
divide(divide(inverse(divide(inverse(X),Y)),Z),divide(inverse(divide(divide(U,V),divide(X,Z))),divide(V,U))) = Y,
inference('PARAMODULATE',[status(thm)],[33,155,theory(equality)]) ).
cnf(171,plain,
inverse(X) = divide(divide(divide(Y,Z),inverse(divide(divide(Z,Y),U))),inverse(divide(divide(V,W),inverse(divide(divide(W,V),divide(X,U)))))),
inference('PARAMODULATE',[status(thm)],[155,155,theory(equality)]) ).
cnf(188,plain,
divide(divide(X,Y),inverse(divide(divide(Y,X),divide(Z,divide(U,V))))) = divide(divide(divide(W,X1),inverse(divide(divide(X1,W),divide(V,U)))),inverse(inverse(Z))),
inference('PARAMODULATE',[status(thm)],[155,6,theory(equality)]) ).
cnf(201,plain,
divide(divide(X,divide(inverse(Y),Z)),U) = divide(divide(X,inverse(Z)),inverse(inverse(divide(U,Y)))),
inference('PARAMODULATE',[status(thm)],[156,156,theory(equality)]) ).
cnf(255,plain,
X = divide(divide(divide(divide(divide(X,inverse(divide(Y,divide(Z,divide(inverse(divide(divide(U,V),Z)),divide(V,U)))))),W),inverse(divide(W,X1))),inverse(X1)),Y),
inference('PARAMODULATE',[status(thm)],[156,27,theory(equality)]) ).
cnf(279,plain,
divide(divide(X,divide(inverse(divide(divide(Y,Z),U)),V)),inverse(divide(U,divide(W,divide(Z,Y))))) = divide(divide(X,inverse(V)),inverse(inverse(W))),
inference('PARAMODULATE',[status(thm)],[201,single_axiom,theory(equality)]) ).
cnf(330,plain,
divide(divide(X,divide(Y,Z)),U) = divide(divide(X,inverse(Z)),inverse(inverse(divide(U,divide(V,divide(divide(Y,divide(divide(W,X1),V)),divide(X1,W))))))),
inference('PARAMODULATE',[status(thm)],[201,9,theory(equality)]) ).
cnf(348,plain,
divide(inverse(inverse(divide(X,Y))),divide(Z,inverse(U))) = divide(X,divide(Z,divide(inverse(Y),U))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6,201,theory(equality)]),6,theory(equality)]) ).
cnf(392,plain,
divide(X,Y) = divide(divide(divide(divide(divide(Z,U),V),inverse(divide(V,divide(W,divide(U,Z))))),X1),inverse(divide(X1,divide(divide(Y,X),W)))),
inference('PARAMODULATE',[status(thm)],[157,single_axiom,theory(equality)]) ).
cnf(513,plain,
divide(divide(X,Y),divide(divide(divide(Z,U),V),inverse(divide(V,Y)))) = divide(divide(X,divide(divide(W,X1),divide(U,Z))),divide(X1,W)),
inference('PARAMODULATE',[status(thm)],[35,9,theory(equality)]) ).
cnf(619,plain,
X = divide(divide(divide(divide(divide(X,Y),inverse(divide(Z,U))),inverse(U)),inverse(inverse(Z))),inverse(Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[156,36,theory(equality)]),279,theory(equality)]) ).
cnf(666,plain,
inverse(divide(inverse(divide(X,divide(Y,divide(Z,inverse(Y))))),divide(divide(U,Z),X))) = U,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[39,156,theory(equality)]),5,theory(equality)]) ).
cnf(679,plain,
inverse(divide(divide(X,Y),divide(Z,divide(divide(divide(Y,X),U),inverse(divide(U,inverse(V))))))) = divide(divide(W,X1),inverse(divide(divide(X1,W),divide(V,Z)))),
inference('PARAMODULATE',[status(thm)],[39,155,theory(equality)]) ).
cnf(690,plain,
inverse(divide(divide(X,Y),divide(Z,divide(divide(divide(Y,X),U),inverse(divide(U,inverse(V))))))) = divide(divide(divide(divide(Z,V),W),inverse(divide(W,X1))),inverse(X1)),
inference('PARAMODULATE',[status(thm)],[39,156,theory(equality)]) ).
cnf(716,plain,
inverse(divide(divide(X,Y),divide(divide(divide(Z,divide(inverse(U),V)),W),divide(divide(divide(Y,X),X1),inverse(divide(X1,inverse(inverse(divide(W,U))))))))) = divide(Z,inverse(V)),
inference('PARAMODULATE',[status(thm)],[39,201,theory(equality)]) ).
cnf(738,plain,
divide(inverse(inverse(divide(X,divide(divide(Y,Z),divide(divide(U,V),divide(divide(divide(Z,Y),W),inverse(divide(W,V)))))))),divide(X1,inverse(Y1))) = divide(X,divide(X1,divide(U,Y1))),
inference('PARAMODULATE',[status(thm)],[348,39,theory(equality)]) ).
cnf(742,plain,
divide(X,Y) = divide(divide(divide(Z,U),inverse(divide(divide(U,Z),divide(V,divide(X,inverse(V)))))),Y),
inference('PARAMODULATE',[status(thm)],[157,666,theory(equality)]) ).
cnf(768,plain,
inverse(divide(inverse(divide(inverse(divide(X,divide(divide(Y,Z),divide(U,V)))),divide(W,divide(X,inverse(W))))),divide(Z,Y))) = divide(V,U),
inference('PARAMODULATE',[status(thm)],[666,157,theory(equality)]) ).
cnf(770,plain,
inverse(divide(inverse(divide(X,divide(Y,divide(inverse(Z),inverse(Y))))),divide(U,X))) = divide(divide(divide(divide(U,Z),V),inverse(divide(V,W))),inverse(W)),
inference('PARAMODULATE',[status(thm)],[666,156,theory(equality)]) ).
cnf(799,plain,
inverse(divide(inverse(divide(X,divide(divide(Y,divide(Z,divide(U,V))),divide(W,divide(inverse(divide(X1,Z)),divide(divide(Y,divide(V,U)),X1)))))),divide(divide(Y1,W),X))) = Y1,
inference('PARAMODULATE',[status(thm)],[666,5,theory(equality)]) ).
cnf(904,plain,
divide(divide(X,Y),inverse(divide(divide(Y,X),Z))) = divide(divide(divide(U,V),inverse(divide(divide(V,U),W))),inverse(inverse(divide(inverse(divide(X1,Z)),divide(W,X1))))),
inference('PARAMODULATE',[status(thm)],[155,63,theory(equality)]) ).
cnf(916,plain,
inverse(divide(inverse(divide(X,Y)),divide(Z,X))) = divide(divide(divide(divide(Z,U),inverse(divide(U,V))),inverse(V)),inverse(divide(divide(W,X1),inverse(divide(divide(X1,W),Y))))),
inference('PARAMODULATE',[status(thm)],[156,63,theory(equality)]) ).
cnf(1029,plain,
divide(inverse(divide(divide(X,Y),divide(Z,U))),divide(Y,X)) = divide(divide(divide(V,W),inverse(divide(divide(W,V),X1))),inverse(divide(inverse(divide(inverse(Z),X1)),U))),
inference('PARAMODULATE',[status(thm)],[155,158,theory(equality)]) ).
cnf(1030,plain,
divide(X,divide(inverse(divide(divide(Y,Z),divide(divide(U,V),divide(divide(W,X1),inverse(divide(divide(X1,W),V)))))),divide(Z,Y))) = divide(X,U),
inference('PARAMODULATE',[status(thm)],[158,63,theory(equality)]) ).
cnf(1037,plain,
divide(divide(inverse(divide(X,Y)),divide(divide(divide(inverse(divide(divide(Z,U),divide(V,W))),divide(U,Z)),divide(inverse(divide(inverse(V),X1)),W)),X)),X1) = Y,
inference('PARAMODULATE',[status(thm)],[33,158,theory(equality)]) ).
cnf(1046,plain,
divide(divide(X,Y),divide(inverse(divide(divide(Z,U),divide(divide(V,divide(W,divide(X1,inverse(W)))),Y))),divide(U,Z))) = divide(divide(X,X1),V),
inference('PARAMODULATE',[status(thm)],[158,666,theory(equality)]) ).
cnf(1056,plain,
divide(divide(inverse(divide(divide(X,Y),divide(Z,U))),divide(Y,X)),divide(inverse(divide(inverse(Z),V)),U)) = divide(divide(divide(W,X1),Y1),inverse(divide(Y1,divide(V,divide(X1,W))))),
inference('PARAMODULATE',[status(thm)],[157,158,theory(equality)]) ).
cnf(1122,plain,
inverse(divide(divide(X,Y),divide(Z,divide(divide(divide(Y,X),U),inverse(divide(U,divide(inverse(divide(divide(V,W),divide(X1,Y1))),divide(W,V)))))))) = divide(inverse(divide(inverse(X1),Z)),Y1),
inference('PARAMODULATE',[status(thm)],[39,158,theory(equality)]) ).
cnf(1126,plain,
divide(divide(X,divide(divide(divide(inverse(divide(divide(Y,Z),divide(U,V))),divide(Z,Y)),divide(inverse(divide(inverse(U),W)),V)),X1)),W) = divide(divide(X,divide(divide(Y1,Z1),X1)),divide(Z1,Y1)),
inference('PARAMODULATE',[status(thm)],[41,158,theory(equality)]) ).
cnf(1139,plain,
divide(X,inverse(Y)) = divide(X,inverse(inverse(divide(Z,divide(Y,inverse(Z)))))),
inference('PARAMODULATE',[status(thm)],[619,619,theory(equality)]) ).
cnf(1237,plain,
divide(divide(divide(divide(X,Y),inverse(divide(Z,U))),inverse(U)),inverse(inverse(Z))) = divide(divide(divide(divide(X,V),inverse(divide(V,W))),inverse(W)),inverse(inverse(Y))),
inference('PARAMODULATE',[status(thm)],[156,619,theory(equality)]) ).
cnf(1257,plain,
inverse(divide(inverse(divide(X,divide(Y,divide(inverse(Z),inverse(Y))))),divide(U,X))) = divide(divide(divide(divide(U,Z),inverse(divide(V,W))),inverse(W)),inverse(inverse(V))),
inference('PARAMODULATE',[status(thm)],[666,619,theory(equality)]) ).
cnf(1340,plain,
divide(X,inverse(divide(divide(Y,Z),inverse(divide(divide(Z,Y),U))))) = divide(X,inverse(inverse(U))),
inference('PARAMODULATE',[status(thm)],[1139,35,theory(equality)]) ).
cnf(1347,plain,
inverse(divide(inverse(divide(X,Y)),divide(Z,X))) = divide(divide(divide(divide(Z,U),inverse(divide(U,V))),inverse(V)),inverse(inverse(Y))),
inference('REWRITE',[status(thm)],[916,1340,theory(equality)]) ).
cnf(1354,plain,
inverse(X) = divide(divide(divide(Y,Z),inverse(divide(divide(Z,Y),U))),inverse(inverse(divide(X,U)))),
inference('REWRITE',[status(thm)],[171,1340,theory(equality)]) ).
cnf(1356,plain,
inverse(X) = inverse(inverse(divide(Y,divide(X,inverse(Y))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[33,1139,theory(equality)]),33,theory(equality)]) ).
cnf(1357,plain,
inverse(divide(divide(X,Y),inverse(divide(divide(Y,X),Z)))) = inverse(inverse(Z)),
inference('PARAMODULATE',[status(thm)],[1356,35,theory(equality)]) ).
cnf(1382,plain,
X = divide(divide(divide(Y,Z),inverse(divide(divide(Z,Y),divide(inverse(divide(U,divide(V,inverse(U)))),X)))),inverse(V)),
inference('PARAMODULATE',[status(thm)],[155,1356,theory(equality)]) ).
cnf(1392,plain,
inverse(X) = inverse(inverse(divide(divide(Y,divide(Z,divide(U,V))),divide(X,divide(inverse(divide(W,Z)),divide(divide(Y,divide(V,U)),W)))))),
inference('PARAMODULATE',[status(thm)],[1356,5,theory(equality)]) ).
cnf(1394,plain,
divide(inverse(X),divide(divide(Y,Z),inverse(divide(divide(Z,Y),divide(inverse(divide(U,divide(X,inverse(U)))),divide(V,W)))))) = divide(W,V),
inference('PARAMODULATE',[status(thm)],[6,1356,theory(equality)]) ).
cnf(1457,plain,
inverse(X) = divide(divide(divide(divide(divide(Y,Z),U),inverse(divide(U,V))),inverse(V)),inverse(inverse(divide(X,divide(Z,Y))))),
inference('PARAMODULATE',[status(thm)],[1354,33,theory(equality)]) ).
cnf(1480,plain,
divide(divide(inverse(inverse(X)),divide(divide(Y,Z),divide(divide(U,V),inverse(divide(divide(V,U),W))))),divide(Z,Y)) = inverse(inverse(divide(X,W))),
inference('PARAMODULATE',[status(thm)],[33,1354,theory(equality)]) ).
cnf(1512,plain,
inverse(X) = divide(divide(divide(Y,Z),inverse(divide(divide(Z,Y),divide(U,divide(V,W))))),inverse(divide(inverse(divide(X1,U)),divide(divide(X,divide(W,V)),X1)))),
inference('PARAMODULATE',[status(thm)],[1354,5,theory(equality)]) ).
cnf(1692,plain,
divide(divide(inverse(inverse(X)),divide(divide(Y,Z),divide(U,V))),divide(Z,Y)) = inverse(divide(divide(V,U),X)),
inference('PARAMODULATE',[status(thm)],[33,1357,theory(equality)]) ).
cnf(1693,plain,
inverse(divide(divide(inverse(divide(divide(X,Y),Z)),divide(Y,X)),U)) = inverse(inverse(divide(U,Z))),
inference('REWRITE',[status(thm)],[1480,1692,theory(equality)]) ).
cnf(1710,plain,
inverse(inverse(divide(inverse(divide(X,Y)),divide(Z,X)))) = inverse(inverse(divide(Y,Z))),
inference('REWRITE',[status(thm)],[139,1693,theory(equality)]) ).
cnf(1737,plain,
divide(divide(X,Y),inverse(divide(divide(Y,X),Z))) = inverse(Z),
inference('REWRITE',[status(thm)],[904,1354,1710,theory(equality)]) ).
cnf(1768,plain,
inverse(X) = divide(inverse(divide(Y,divide(Z,U))),inverse(divide(inverse(divide(V,Y)),divide(divide(X,divide(U,Z)),V)))),
inference('REWRITE',[status(thm)],[1512,1737,theory(equality)]) ).
cnf(1796,plain,
divide(inverse(X),inverse(divide(inverse(divide(Y,divide(X,inverse(Y)))),divide(Z,U)))) = divide(U,Z),
inference('REWRITE',[status(thm)],[1394,1737,theory(equality)]) ).
cnf(1797,plain,
X = divide(inverse(divide(inverse(divide(Y,divide(Z,inverse(Y)))),X)),inverse(Z)),
inference('REWRITE',[status(thm)],[1382,1737,theory(equality)]) ).
cnf(1836,plain,
divide(X,divide(inverse(divide(divide(Y,Z),divide(divide(U,V),inverse(V)))),divide(Z,Y))) = divide(X,U),
inference('REWRITE',[status(thm)],[1030,1737,theory(equality)]) ).
cnf(1857,plain,
divide(X,Y) = divide(inverse(divide(Z,divide(X,inverse(Z)))),Y),
inference('REWRITE',[status(thm)],[742,1737,theory(equality)]) ).
cnf(1858,plain,
divide(inverse(X),inverse(divide(X,divide(Y,Z)))) = divide(Z,Y),
inference('REWRITE',[status(thm)],[1796,1857,theory(equality)]) ).
cnf(1859,plain,
X = divide(inverse(divide(Y,X)),inverse(Y)),
inference('REWRITE',[status(thm)],[1797,1857,theory(equality)]) ).
cnf(1897,plain,
divide(inverse(divide(divide(X,Y),divide(Z,U))),divide(Y,X)) = divide(inverse(V),inverse(divide(inverse(divide(inverse(Z),V)),U))),
inference('REWRITE',[status(thm)],[1029,1737,theory(equality)]) ).
cnf(1917,plain,
inverse(divide(divide(X,Y),divide(Z,divide(divide(divide(Y,X),U),inverse(divide(U,inverse(V))))))) = inverse(divide(V,Z)),
inference('REWRITE',[status(thm)],[679,1737,theory(equality)]) ).
cnf(1924,plain,
inverse(inverse(divide(X,divide(Y,divide(Z,inverse(Y)))))) = divide(X,inverse(Z)),
inference('REWRITE',[status(thm)],[716,5,1917,theory(equality)]) ).
cnf(1936,plain,
inverse(divide(X,Y)) = divide(divide(divide(divide(Y,X),Z),inverse(divide(Z,U))),inverse(U)),
inference('REWRITE',[status(thm)],[690,1917,theory(equality)]) ).
cnf(1943,plain,
X = divide(inverse(divide(inverse(divide(Y,divide(Z,divide(inverse(divide(divide(U,V),Z)),divide(V,U))))),X)),Y),
inference('REWRITE',[status(thm)],[255,1936,theory(equality)]) ).
cnf(1953,plain,
inverse(X) = divide(inverse(divide(Y,Z)),inverse(inverse(divide(X,divide(Y,Z))))),
inference('REWRITE',[status(thm)],[1457,1936,theory(equality)]) ).
cnf(1973,plain,
inverse(divide(inverse(divide(X,divide(Y,divide(inverse(Z),inverse(Y))))),divide(U,X))) = inverse(divide(Z,U)),
inference('REWRITE',[status(thm)],[770,1936,theory(equality)]) ).
cnf(1974,plain,
inverse(divide(X,Y)) = divide(divide(divide(divide(Y,X),inverse(divide(Z,U))),inverse(U)),inverse(inverse(Z))),
inference('REWRITE',[status(thm)],[1257,1973,theory(equality)]) ).
cnf(1978,plain,
inverse(divide(X,Y)) = divide(divide(divide(divide(Y,Z),inverse(divide(Z,U))),inverse(U)),inverse(inverse(X))),
inference('REWRITE',[status(thm)],[1237,1974,theory(equality)]) ).
cnf(1979,plain,
inverse(divide(inverse(divide(X,Y)),divide(Z,X))) = inverse(divide(Y,Z)),
inference('REWRITE',[status(thm)],[1347,1978,theory(equality)]) ).
cnf(1980,plain,
inverse(divide(divide(divide(X,divide(Y,divide(Z,U))),divide(V,divide(inverse(divide(W,Y)),divide(divide(X,divide(U,Z)),W)))),divide(X1,V))) = X1,
inference('REWRITE',[status(thm)],[799,1979,theory(equality)]) ).
cnf(2017,plain,
inverse(X) = divide(inverse(divide(Y,divide(Z,U))),inverse(divide(Y,divide(X,divide(U,Z))))),
inference('REWRITE',[status(thm)],[1768,1979,theory(equality)]) ).
cnf(2034,plain,
divide(inverse(divide(X,Y)),divide(divide(inverse(divide(divide(Z,U),V)),divide(U,Z)),X)) = inverse(divide(V,Y)),
inference('REWRITE',[status(thm)],[78,1979,theory(equality)]) ).
cnf(2035,plain,
inverse(divide(X,divide(Y,divide(Z,U)))) = inverse(inverse(divide(Y,divide(X,divide(U,Z))))),
inference('REWRITE',[status(thm)],[18,2034,theory(equality)]) ).
cnf(2037,plain,
inverse(inverse(divide(divide(X,divide(Y,Z)),divide(Z,Y)))) = X,
inference('REWRITE',[status(thm)],[48,33,2035,theory(equality)]) ).
cnf(2080,plain,
inverse(divide(X,divide(Y,Z))) = divide(inverse(divide(Z,Y)),inverse(inverse(X))),
inference('REWRITE',[status(thm)],[188,1737,theory(equality)]) ).
cnf(2084,plain,
inverse(X) = inverse(divide(divide(X,divide(Y,Z)),divide(Z,Y))),
inference('REWRITE',[status(thm)],[1953,2080,theory(equality)]) ).
cnf(2085,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[2037,2084,theory(equality)]) ).
cnf(2098,plain,
divide(divide(X,divide(divide(Y,Z),divide(divide(U,V),divide(divide(divide(Z,Y),W),inverse(divide(W,V)))))),divide(X1,inverse(Y1))) = divide(X,divide(X1,divide(U,Y1))),
inference('REWRITE',[status(thm)],[738,2085,theory(equality)]) ).
cnf(2106,plain,
inverse(X) = divide(divide(Y,divide(Z,divide(U,V))),divide(X,divide(inverse(divide(W,Z)),divide(divide(Y,divide(V,U)),W)))),
inference('REWRITE',[status(thm)],[1392,2085,theory(equality)]) ).
cnf(2107,plain,
inverse(divide(inverse(X),divide(Y,X))) = Y,
inference('REWRITE',[status(thm)],[1980,2106,theory(equality)]) ).
cnf(2116,plain,
divide(divide(X,divide(Y,Z)),U) = divide(divide(X,inverse(Z)),divide(U,divide(V,divide(divide(Y,divide(divide(W,X1),V)),divide(X1,W))))),
inference('REWRITE',[status(thm)],[330,2085,theory(equality)]) ).
cnf(2121,plain,
divide(X,divide(Y,divide(inverse(divide(divide(Z,U),Y)),divide(U,Z)))) = X,
inference('REWRITE',[status(thm)],[27,2085,theory(equality)]) ).
cnf(2124,plain,
X = divide(inverse(divide(inverse(Y),X)),Y),
inference('REWRITE',[status(thm)],[1943,2121,theory(equality)]) ).
cnf(2129,plain,
divide(X,divide(Y,divide(Z,inverse(Y)))) = divide(X,inverse(Z)),
inference('REWRITE',[status(thm)],[1924,2085,theory(equality)]) ).
cnf(2136,plain,
divide(divide(X,Y),divide(inverse(divide(divide(Z,U),divide(divide(V,inverse(W)),Y))),divide(U,Z))) = divide(divide(X,W),V),
inference('REWRITE',[status(thm)],[1046,2129,theory(equality)]) ).
cnf(2137,plain,
inverse(divide(inverse(divide(divide(X,Y),divide(Z,U))),divide(Y,X))) = divide(U,Z),
inference('REWRITE',[status(thm)],[768,1859,2129,theory(equality)]) ).
cnf(2165,plain,
inverse(divide(X,divide(Y,divide(Z,U)))) = divide(Y,divide(X,divide(U,Z))),
inference('REWRITE',[status(thm)],[2035,2085,theory(equality)]) ).
cnf(2171,plain,
divide(divide(X,divide(Y,Z)),U) = divide(divide(X,inverse(Z)),divide(U,inverse(Y))),
inference('REWRITE',[status(thm)],[2116,2084,2165,theory(equality)]) ).
cnf(2177,plain,
divide(divide(X,Y),divide(divide(divide(Z,U),V),inverse(divide(V,Y)))) = divide(divide(X,inverse(divide(U,Z))),divide(divide(W,X1),inverse(divide(X1,W)))),
inference('REWRITE',[status(thm)],[513,2171,theory(equality)]) ).
cnf(2198,plain,
divide(X,divide(Y,inverse(divide(divide(inverse(divide(divide(Z,U),divide(V,W))),divide(U,Z)),divide(inverse(divide(inverse(V),Y)),W))))) = X,
inference('REWRITE',[status(thm)],[1037,1859,2171,theory(equality)]) ).
cnf(2203,plain,
divide(X,inverse(Y)) = divide(divide(X,inverse(Y)),divide(divide(Z,U),inverse(divide(U,Z)))),
inference('REWRITE',[status(thm)],[1126,2198,2171,theory(equality)]) ).
cnf(2210,plain,
divide(divide(X,Y),divide(divide(divide(Z,U),V),inverse(divide(V,Y)))) = divide(X,inverse(divide(U,Z))),
inference('REWRITE',[status(thm)],[2177,2203,theory(equality)]) ).
cnf(2220,plain,
divide(divide(X,inverse(Y)),divide(Z,inverse(U))) = divide(X,divide(Z,divide(Y,U))),
inference('REWRITE',[status(thm)],[2098,2129,2210,theory(equality)]) ).
cnf(2249,plain,
inverse(divide(divide(inverse(X),inverse(X)),divide(Y,divide(Z,U)))) = divide(inverse(divide(inverse(U),Y)),Z),
inference('REWRITE',[status(thm)],[1122,2137,2085,1737,2220,theory(equality)]) ).
cnf(2254,plain,
inverse(divide(divide(inverse(X),inverse(X)),divide(Y,Z))) = inverse(divide(Z,Y)),
inference('REWRITE',[status(thm)],[1917,2085,1737,2220,theory(equality)]) ).
cnf(2255,plain,
inverse(divide(divide(X,Y),Z)) = divide(inverse(divide(inverse(Y),Z)),X),
inference('REWRITE',[status(thm)],[2249,2254,theory(equality)]) ).
cnf(2271,plain,
X = inverse(divide(divide(Y,Y),X)),
inference('REWRITE',[status(thm)],[2124,2255,theory(equality)]) ).
cnf(2273,plain,
divide(X,Y) = inverse(divide(Y,X)),
inference('REWRITE',[status(thm)],[2254,2271,theory(equality)]) ).
cnf(2285,plain,
divide(X,divide(divide(divide(divide(Y,Z),inverse(Z)),divide(U,V)),divide(V,U))) = divide(X,Y),
inference('REWRITE',[status(thm)],[1836,2273,theory(equality)]) ).
cnf(2288,plain,
divide(divide(X,Y),divide(divide(divide(divide(Z,inverse(U)),Y),divide(V,W)),divide(W,V))) = divide(divide(X,U),Z),
inference('REWRITE',[status(thm)],[2136,2273,theory(equality)]) ).
cnf(2289,plain,
divide(divide(X,Y),inverse(Y)) = X,
inference('REWRITE',[status(thm)],[2107,2273,theory(equality)]) ).
cnf(2290,plain,
divide(X,divide(divide(Y,divide(Z,U)),divide(U,Z))) = divide(X,Y),
inference('REWRITE',[status(thm)],[2285,2289,theory(equality)]) ).
cnf(2291,plain,
divide(divide(X,Y),divide(divide(Z,inverse(U)),Y)) = divide(divide(X,U),Z),
inference('REWRITE',[status(thm)],[2288,2290,theory(equality)]) ).
cnf(2299,plain,
divide(X,Y) = divide(divide(divide(divide(divide(Z,U),V),divide(divide(W,divide(U,Z)),V)),X1),divide(divide(divide(Y,X),W),X1)),
inference('REWRITE',[status(thm)],[392,2273,theory(equality)]) ).
cnf(2300,plain,
inverse(X) = divide(divide(divide(Y,Z),U),divide(divide(X,divide(Z,Y)),U)),
inference('REWRITE',[status(thm)],[2017,2273,theory(equality)]) ).
cnf(2301,plain,
divide(X,Y) = divide(divide(inverse(Z),U),divide(divide(divide(Y,X),Z),U)),
inference('REWRITE',[status(thm)],[2299,2300,theory(equality)]) ).
cnf(2305,plain,
divide(divide(X,inverse(Y)),divide(inverse(Z),divide(divide(U,V),Z))) = divide(divide(X,W),divide(divide(divide(V,U),Y),W)),
inference('REWRITE',[status(thm)],[128,2171,2273,theory(equality)]) ).
cnf(2307,plain,
divide(inverse(X),divide(divide(Y,Z),X)) = divide(Z,Y),
inference('REWRITE',[status(thm)],[1858,2273,theory(equality)]) ).
cnf(2308,plain,
divide(divide(X,inverse(Y)),divide(Z,U)) = divide(divide(X,V),divide(divide(divide(Z,U),Y),V)),
inference('REWRITE',[status(thm)],[2305,2307,theory(equality)]) ).
cnf(2309,plain,
divide(X,Y) = divide(divide(inverse(Z),inverse(Z)),divide(Y,X)),
inference('REWRITE',[status(thm)],[2301,2308,theory(equality)]) ).
cnf(2325,plain,
X = divide(X,divide(Y,Y)),
inference('REWRITE',[status(thm)],[2271,2273,theory(equality)]) ).
cnf(2342,plain,
divide(divide(divide(divide(X,Y),divide(Z,U)),divide(U,Z)),divide(divide(V,inverse(X)),Y)) = inverse(V),
inference('REWRITE',[status(thm)],[1056,2300,2273,theory(equality)]) ).
cnf(2343,plain,
divide(divide(divide(X,Y),divide(Z,U)),divide(U,Z)) = divide(X,Y),
inference('REWRITE',[status(thm)],[1897,2309,2085,2220,2273,theory(equality)]) ).
cnf(2344,plain,
divide(divide(X,X),Y) = inverse(Y),
inference('REWRITE',[status(thm)],[2342,2291,2343,theory(equality)]) ).
cnf(2545,plain,
divide(X,X) = divide(Y,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2325,2344,theory(equality)]),2273,theory(equality)]) ).
cnf(2546,plain,
$false,
inference('REWRITE',[status(thm)],[4,2545,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP469-1 : TPTP v8.1.0. Released v2.6.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n016.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Mon Jun 13 17:12:44 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T17:12:44
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-13T17:12:44
% 2.23/2.44
% 2.23/2.44
% 2.23/2.44 #||
% 2.23/2.44 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.23/2.44 % SZS output start Refutation
% See solution above
% 2.23/2.46 ||#
% 2.23/2.46
% 2.23/2.46 ; Summary of computation:
% 2.23/2.46 ; 5076 formulas have been input or derived (from 37 formulas).
% 2.23/2.46 ; 2546 (50%) were retained. Of these,
% 2.23/2.46 ; 2384 (94%) were simplified or subsumed later,
% 2.23/2.46 ; 162 ( 6%) are still being kept.
% 2.23/2.46 ;
% 2.23/2.46 ; Run time in seconds excluding printing time:
% 2.23/2.46 ; 0.001 0% Read assertion file (1 call)
% 2.23/2.46 ; 0.001 0% Assert (3 calls)
% 2.23/2.46 ; 0.440 22% Process new row (5,069 calls)
% 2.23/2.46 ; 0.005 0% Resolution (72 calls)
% 2.23/2.46 ; 0.078 4% Paramodulation (36 calls)
% 2.23/2.46 ; 0.481 24% Forward simplification (4,711 calls)
% 2.23/2.46 ; 0.485 25% Backward simplification (2,545 calls)
% 2.23/2.46 ; 0.429 22% Ordering (44,548 calls)
% 2.23/2.46 ; 0.000 0% Sortal reasoning (32 calls)
% 2.23/2.46 ; 0.000 0% Purity testing (1 call)
% 2.23/2.46 ; 0.048 2% Other
% 2.23/2.46 ; 1.968 Total
% 2.23/2.46 ; 1.991 Real time
% 2.23/2.46 ;
% 2.23/2.46 ; Term-hash-array has 13,572 terms in all.
% 2.23/2.46 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 2.23/2.46 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 2.23/2.46 ; Path-index has 874 entries (9,173 at peak, 14,596 added, 13,722 deleted).
% 2.23/2.46 ; Path-index has 15,395 nodes (22,281 at peak, 25,965 added, 10,570 deleted).
% 2.23/2.46 ; Trie-index has 874 entries (9,173 at peak, 14,596 added, 13,722 deleted).
% 2.23/2.46 ; Trie-index has 3,550 nodes (64,538 at peak, 97,903 added, 94,353 deleted).
% 2.23/2.46 ; Retrieved 52,419 generalization terms in 77,873 calls.
% 2.23/2.46 ; Retrieved 14,217 instance terms in 3,109 calls.
% 2.23/2.46 ; Retrieved 17,628 unifiable terms in 379 calls.
% 2.23/2.46 ;
% 2.23/2.46 ; The agenda of rows to process has 4 entries:
% 2.23/2.46 ; 1 with value 17 2 with value 18 1 with value 19
% 2.23/2.46 ; The agenda of rows to give has 156 entries:
% 2.23/2.46 ; 1 with value (4 15) 5 with value (4 28) 11 with value (4 36)
% 2.23/2.46 ; 1 with value (4 17) 6 with value (4 29) 7 with value (4 37)
% 2.23/2.46 ; 2 with value (4 19) 8 with value (4 30) 12 with value (4 38)
% 2.23/2.46 ; 1 with value (4 21) 4 with value (4 31) 23 with value (4 39)
% 2.23/2.46 ; 2 with value (4 22) 5 with value (4 32) 7 with value (4 40)
% 2.23/2.46 ; 1 with value (4 25) 12 with value (4 33) 10 with value (4 41)
% 2.23/2.46 ; 3 with value (4 26) 13 with value (4 34) 11 with value (4 42)
% 2.23/2.46 ; 6 with value (4 27) 5 with value (4 35)
% 2.23/2.46 Evaluation took:
% 2.23/2.46 1.992 seconds of real time
% 2.23/2.46 1.835274 seconds of user run time
% 2.23/2.46 0.156703 seconds of system run time
% 2.23/2.46 [Run times include 0.299 seconds GC run time.]
% 2.23/2.46 0 calls to %EVAL
% 2.23/2.46 0 page faults and
% 2.23/2.46 158,105,656 bytes consed.
% 2.23/2.46 :PROOF-FOUND
% 2.23/2.46 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-13T17:12:46
% 2.23/2.46 :PROOF-FOUND
% 2.23/2.46 *
%------------------------------------------------------------------------------