TSTP Solution File: GRP071-1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GRP071-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n009.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 11:36:00 EDT 2022

% Result   : Unsatisfiable 2.22s 2.38s
% Output   : Refutation 2.24s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   45
%            Number of leaves      :    3
% Syntax   : Number of clauses     :  167 ( 163 unt;   0 nHn;   6 RR)
%            Number of literals    :  174 ( 173 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :   13 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   10 (  10 usr;   7 con; 0-2 aty)
%            Number of variables   :  766 (   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/sandbox2/benchmark/theBenchmark.p',single_axiom) ).

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

cnf(prove_these_axioms,negated_conjecture,
    ( multiply(inverse(a1),a1) != multiply(inverse(b1),b1)
    | multiply(multiply(inverse(b2),b2),a2) != a2
    | multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)) ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_these_axioms) ).

cnf(4,plain,
    ( divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1))
    | divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2
    | divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,inverse(divide(b3,inverse(c3)))) ),
    inference('REWRITE',[status(thm)],[prove_these_axioms,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(143,plain,
    inverse(inverse(divide(X,divide(inverse(divide(Y,Z)),divide(inverse(divide(divide(U,V),inverse(divide(divide(V,U),Z)))),Y))))) = X,
    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(805,plain,
    divide(divide(X,Y),divide(inverse(divide(divide(Z,U),divide(V,Y))),divide(U,Z))) = divide(divide(X,divide(divide(W,X1),inverse(V))),divide(X1,W)),
    inference('PARAMODULATE',[status(thm)],[41,155,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(1068,plain,
    divide(divide(X,Y),divide(Z,inverse(divide(inverse(U),Y)))) = divide(divide(X,divide(divide(V,W),divide(inverse(divide(divide(X1,Y1),divide(U,Z))),divide(Y1,X1)))),divide(W,V)),
    inference('PARAMODULATE',[status(thm)],[41,158,theory(equality)]) ).

cnf(1096,plain,
    inverse(divide(inverse(divide(X,divide(Y,divide(divide(inverse(divide(divide(Z,U),divide(V,W))),divide(U,Z)),inverse(Y))))),divide(X1,X))) = divide(inverse(divide(inverse(V),X1)),W),
    inference('PARAMODULATE',[status(thm)],[666,158,theory(equality)]) ).

cnf(1117,plain,
    divide(inverse(divide(divide(divide(inverse(divide(divide(X,Y),divide(Z,U))),divide(Y,X)),divide(inverse(divide(inverse(Z),V)),U)),W)),X1) = inverse(divide(inverse(divide(Y1,X1)),divide(W,divide(Y1,V)))),
    inference('PARAMODULATE',[status(thm)],[36,158,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(1367,plain,
    inverse(inverse(divide(X,divide(inverse(divide(Y,Z)),divide(inverse(inverse(Z)),Y))))) = X,
    inference('REWRITE',[status(thm)],[143,1357,theory(equality)]) ).

cnf(1377,plain,
    inverse(divide(divide(X,Y),Z)) = inverse(inverse(divide(divide(Z,divide(divide(U,V),divide(Y,X))),divide(V,U)))),
    inference('PARAMODULATE',[status(thm)],[1356,157,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(1401,plain,
    inverse(inverse(divide(inverse(divide(X,Y)),divide(inverse(divide(Z,U)),X)))) = inverse(divide(divide(inverse(inverse(U)),Z),Y)),
    inference('PARAMODULATE',[status(thm)],[1367,62,theory(equality)]) ).

cnf(1456,plain,
    inverse(inverse(X)) = inverse(inverse(divide(inverse(divide(Y,X)),inverse(Y)))),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1356,1354,theory(equality)]),1357,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(1546,plain,
    inverse(X) = divide(divide(divide(Y,Z),inverse(divide(divide(Z,Y),divide(U,divide(inverse(V),W))))),inverse(inverse(divide(inverse(inverse(divide(X,V))),divide(U,inverse(W)))))),
    inference('PARAMODULATE',[status(thm)],[1354,348,theory(equality)]) ).

cnf(1586,plain,
    inverse(inverse(divide(divide(X,divide(divide(Y,Z),U)),divide(Z,Y)))) = inverse(inverse(divide(X,inverse(U)))),
    inference('PARAMODULATE',[status(thm)],[1456,9,theory(equality)]) ).

cnf(1588,plain,
    inverse(divide(divide(X,Y),Z)) = inverse(inverse(divide(Z,inverse(divide(Y,X))))),
    inference('REWRITE',[status(thm)],[1377,1586,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(1716,plain,
    inverse(divide(divide(X,Y),Z)) = inverse(divide(divide(inverse(inverse(X)),Y),Z)),
    inference('REWRITE',[status(thm)],[1401,1588,1710,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(1762,plain,
    inverse(X) = divide(inverse(divide(Y,divide(inverse(Z),U))),inverse(inverse(divide(inverse(inverse(divide(X,Z))),divide(Y,inverse(U)))))),
    inference('REWRITE',[status(thm)],[1546,1737,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(1985,plain,
    inverse(divide(divide(X,divide(divide(inverse(divide(divide(Y,Z),divide(U,V))),divide(Z,Y)),inverse(X))),W)) = divide(inverse(divide(inverse(U),W)),V),
    inference('REWRITE',[status(thm)],[1096,1979,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(2083,plain,
    inverse(X) = inverse(divide(divide(divide(X,Y),divide(Z,inverse(U))),divide(divide(inverse(Y),U),Z))),
    inference('REWRITE',[status(thm)],[1762,1716,2080,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(2172,plain,
    divide(divide(X,Y),divide(Z,inverse(divide(inverse(U),Y)))) = divide(divide(X,divide(Z,U)),divide(divide(V,W),inverse(divide(W,V)))),
    inference('REWRITE',[status(thm)],[1068,2137,2171,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(2189,plain,
    divide(divide(X,Y),divide(inverse(divide(divide(Z,U),divide(V,Y))),divide(U,Z))) = divide(divide(X,V),divide(divide(W,X1),inverse(divide(X1,W)))),
    inference('REWRITE',[status(thm)],[805,2085,2171,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(2294,plain,
    inverse(X) = divide(divide(Y,Z),divide(X,divide(Z,Y))),
    inference('REWRITE',[status(thm)],[2084,2273,theory(equality)]) ).

cnf(2297,plain,
    inverse(X) = divide(divide(divide(inverse(Y),Z),U),divide(divide(X,Y),divide(U,inverse(Z)))),
    inference('REWRITE',[status(thm)],[2083,2273,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,
    ( divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1))
    | divide(divide(inverse(b2),inverse(b2)),inverse(a2)) != a2
    | divide(divide(a3,inverse(b3)),inverse(c3)) != divide(a3,divide(inverse(c3),b3)) ),
    inference('REWRITE',[status(thm)],[4,2273,theory(equality)]) ).

cnf(2326,plain,
    X = divide(X,divide(Y,Y)),
    inference('REWRITE',[status(thm)],[2271,2273,theory(equality)]) ).

cnf(2342,plain,
    divide(X,divide(Y,Z)) = divide(divide(X,inverse(Z)),Y),
    inference('REWRITE',[status(thm)],[1985,2294,2129,2273,theory(equality)]) ).

cnf(2343,plain,
    ( divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1))
    | divide(inverse(b2),divide(inverse(a2),b2)) != a2 ),
    inference('REWRITE',[status(thm)],[2325,2342,theory(equality)]) ).

cnf(2344,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(2345,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(2346,plain,
    divide(divide(X,X),Y) = inverse(Y),
    inference('REWRITE',[status(thm)],[2344,2291,2345,theory(equality)]) ).

cnf(2350,plain,
    divide(divide(X,inverse(Y)),Z) = divide(divide(X,divide(U,Y)),divide(Z,U)),
    inference('REWRITE',[status(thm)],[1117,2346,2291,2345,2273,theory(equality)]) ).

cnf(2366,plain,
    divide(divide(X,Y),divide(Z,Y)) = divide(X,Z),
    inference('REWRITE',[status(thm)],[2189,2326,2342,2350,2273,theory(equality)]) ).

cnf(2376,plain,
    divide(divide(X,Y),divide(Z,divide(Y,inverse(U)))) = divide(X,divide(Z,U)),
    inference('REWRITE',[status(thm)],[2172,2326,2366,2273,theory(equality)]) ).

cnf(2377,plain,
    inverse(X) = divide(inverse(Y),divide(X,Y)),
    inference('REWRITE',[status(thm)],[2297,2366,2376,theory(equality)]) ).

cnf(2379,plain,
    divide(inverse(a1),inverse(a1)) != divide(inverse(b1),inverse(b1)),
    inference('REWRITE',[status(thm)],[2343,2085,2377,theory(equality)]) ).

cnf(2548,plain,
    divide(X,X) = divide(Y,Y),
    inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2326,2346,theory(equality)]),2273,theory(equality)]) ).

cnf(2549,plain,
    $false,
    inference('REWRITE',[status(thm)],[2379,2548,theory(equality)]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11  % Problem  : GRP071-1 : TPTP v8.1.0. Bugfixed v2.3.0.
% 0.10/0.12  % Command  : run-snark %s %d
% 0.12/0.33  % Computer : n009.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 21:07:23 EDT 2022
% 0.12/0.33  % CPUTime  : 
% 0.19/0.44  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45  * 
% 0.19/0.45  * 
% 0.19/0.46  #<PACKAGE "SNARK-USER">
% 0.19/0.46  * 
% 0.19/0.46  SNARK-TPTP-OPTIONS
% 0.19/0.46  * 
% 0.19/0.46  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46   (USE-FACTORING :POS)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46  * 
% 0.19/0.46  "."
% 0.19/0.46  * 
% 0.19/0.46  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T21:07:23
% 0.19/0.46  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-13T21:07:23
% 2.22/2.38  
% 2.22/2.38  
% 2.22/2.38  #||
% 2.22/2.38  % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.22/2.38  % SZS output start Refutation
% See solution above
% 2.24/2.41  ||#
% 2.24/2.41  
% 2.24/2.41  ; Summary of computation:
% 2.24/2.41  ;      5079 formulas have been input or derived (from 38 formulas).
% 2.24/2.41  ;      2549 (50%) were retained.  Of these,
% 2.24/2.41  ;         2387 (94%) were simplified or subsumed later,
% 2.24/2.41  ;          162 ( 6%) are still being kept.
% 2.24/2.41  ; 
% 2.24/2.41  ; Run time in seconds excluding printing time:
% 2.24/2.41  ;     0.001   0%   Read assertion file          (1 call)
% 2.24/2.41  ;     0.000   0%   Assert                       (3 calls)
% 2.24/2.41  ;     0.407  21%   Process new row              (5,072 calls)
% 2.24/2.41  ;     0.005   0%   Resolution                   (74 calls)
% 2.24/2.41  ;     0.076   4%   Paramodulation               (37 calls)
% 2.24/2.41  ;     0.000   0%   Condensing                   (3 calls)
% 2.24/2.41  ;     0.000   0%   Forward subsumption          (3 calls)
% 2.24/2.41  ;     0.000   0%   Backward subsumption         (3 calls)
% 2.24/2.41  ;     0.493  26%   Forward simplification       (4,714 calls)
% 2.24/2.41  ;     0.474  25%   Backward simplification      (2,548 calls)
% 2.24/2.41  ;     0.418  22%   Ordering                     (44,550 calls)
% 2.24/2.41  ;     0.000   0%   Sortal reasoning             (32 calls)
% 2.24/2.41  ;     0.000   0%   Purity testing               (1 call)
% 2.24/2.41  ;     0.048   2%   Other
% 2.24/2.41  ;     1.922        Total
% 2.24/2.41  ;     1.947        Real time
% 2.24/2.41  ; 
% 2.24/2.41  ; Term-hash-array has 13,591 terms in all.
% 2.24/2.41  ; Feature-vector-row-index has 0 entries (1 at peak, 3 added, 3 deleted).
% 2.24/2.41  ; Feature-vector-row-index has 1 node (30 at peak, 79 added, 78 deleted).
% 2.24/2.41  ;  Retrieved 0 possibly forward subsuming rows in 3 calls.
% 2.24/2.41  ;  Retrieved 0 possibly backward subsumed rows in 3 calls.
% 2.24/2.41  ; Path-index has 875 entries (9,191 at peak, 14,660 added, 13,785 deleted).
% 2.24/2.41  ; Path-index has 15,396 nodes (22,315 at peak, 26,082 added, 10,686 deleted).
% 2.24/2.41  ; Trie-index has 875 entries (9,191 at peak, 14,660 added, 13,785 deleted).
% 2.24/2.41  ; Trie-index has 3,551 nodes (64,591 at peak, 98,079 added, 94,528 deleted).
% 2.24/2.41  ; Retrieved 52,433 generalization terms in 77,920 calls.
% 2.24/2.41  ; Retrieved 14,223 instance terms in 3,109 calls.
% 2.24/2.41  ; Retrieved 17,818 unifiable terms in 404 calls.
% 2.24/2.41  ; 
% 2.24/2.41  ; The agenda of rows to process has 4 entries:
% 2.24/2.41  ;     1 with value 17              2 with value 18               1 with value 19
% 2.24/2.41  ; The agenda of rows to give has 156 entries:
% 2.24/2.41  ;     1 with value (4 15)          5 with value (4 28)          11 with value (4 36)
% 2.24/2.41  ;     1 with value (4 17)          6 with value (4 29)           7 with value (4 37)
% 2.24/2.41  ;     2 with value (4 19)          8 with value (4 30)          12 with value (4 38)
% 2.24/2.41  ;     1 with value (4 21)          4 with value (4 31)          23 with value (4 39)
% 2.24/2.41  ;     2 with value (4 22)          5 with value (4 32)           7 with value (4 40)
% 2.24/2.41  ;     1 with value (4 25)         12 with value (4 33)          10 with value (4 41)
% 2.24/2.41  ;     3 with value (4 26)         13 with value (4 34)          11 with value (4 42)
% 2.24/2.41  ;     6 with value (4 27)          5 with value (4 35)
% 2.24/2.41  Evaluation took:
% 2.24/2.41    1.948 seconds of real time
% 2.24/2.41    1.82447 seconds of user run time
% 2.24/2.41    0.123309 seconds of system run time
% 2.24/2.41    [Run times include 0.287 seconds GC run time.]
% 2.24/2.41    0 calls to %EVAL
% 2.24/2.41    0 page faults and
% 2.24/2.41    162,274,736 bytes consed.
% 2.24/2.41  :PROOF-FOUND
% 2.24/2.41  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-13T21:07:25
% 2.24/2.41  :PROOF-FOUND
% 2.24/2.41  * 
%------------------------------------------------------------------------------