%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT391-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n012.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 : Sun Jul 17 06:45:04 EDT 2022
% Result : Unsatisfiable 3.64s 3.82s
% Output : Refutation 3.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 2
% Syntax : Number of clauses : 58 ( 58 unt; 0 nHn; 2 RR)
% Number of literals : 58 ( 57 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 18 ( 3 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 180 ( 38 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(sos,axiom,
mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),Z),plus(mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y)))),mult(mult(plus(X,Y),plus(Y,mult(X,Y))),Z))) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',sos) ).
cnf(goals,negated_conjecture,
mult(mult(plus(a,b),plus(b,c)),b) != b,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(3,plain,
mult(plus(mult(plus(X,mult(plus(Y,Z),plus(Z,mult(Y,Z)))),plus(mult(plus(Y,Z),plus(Z,mult(Y,Z))),mult(X,mult(plus(Y,Z),plus(Z,mult(Y,Z)))))),U),plus(mult(plus(X,mult(mult(plus(mult(plus(Y,Z),plus(Z,mult(Y,Z))),mult(plus(Y,Z),plus(Z,mult(Y,Z)))),plus(mult(plus(Y,Z),plus(Z,mult(Y,Z))),V)),mult(plus(Y,Z),plus(Z,mult(Y,Z))))),plus(Z,mult(X,mult(mult(plus(mult(plus(Y,Z),plus(Z,mult(Y,Z))),mult(plus(Y,Z),plus(Z,mult(Y,Z)))),plus(mult(plus(Y,Z),plus(Z,mult(Y,Z))),V)),mult(plus(Y,Z),plus(Z,mult(Y,Z))))))),mult(mult(plus(X,mult(plus(Y,Z),plus(Z,mult(Y,Z)))),plus(mult(plus(Y,Z),plus(Z,mult(Y,Z))),mult(X,mult(plus(Y,Z),plus(Z,mult(Y,Z)))))),U))) = mult(plus(Y,Z),plus(Z,mult(Y,Z))),
inference('PARAMODULATE',[status(thm)],[sos,sos,theory(equality)]) ).
cnf(10,plain,
mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),Z),plus(mult(plus(X,mult(mult(plus(Y,Y),plus(Y,U)),Y)),plus(mult(plus(V,mult(mult(plus(W,Y),plus(Y,X1)),Y)),plus(mult(plus(Y,plus(plus(mult(W,mult(Y,X1)),mult(Y1,Y)),Y)),plus(Z1,mult(Y,plus(plus(mult(Y,U1),mult(Y1,Y)),Y)))),mult(V,mult(mult(plus(W,Y),plus(Y,X1)),Y)))),mult(X,mult(mult(plus(Y,Y),plus(Y,U)),Y)))),mult(mult(plus(X,Y),plus(Y,mult(X,Y))),Z))) = Y,
inference('PARAMODULATE',[status(thm)],[3,sos,theory(equality)]) ).
cnf(13,plain,
mult(plus(mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),mult(plus(Z,mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y))))),plus(mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y)))),mult(Z,mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y)))))))),plus(mult(plus(Z,mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y))))),plus(mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y)))),mult(Z,mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y))))))),mult(mult(plus(X,Y),plus(Y,mult(X,Y))),mult(plus(Z,mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y))))),plus(mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y)))),mult(Z,mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y)))))))))),Z1),plus(Y,mult(mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),mult(plus(Z,mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y))))),plus(mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y)))),mult(Z,mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y)))))))),plus(mult(plus(Z,mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y))))),plus(mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y)))),mult(Z,mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y))))))),mult(mult(plus(X,Y),plus(Y,mult(X,Y))),mult(plus(Z,mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y))))),plus(mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y)))),mult(Z,mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y)))))))))),Z1))) = mult(plus(Z,mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y))))),plus(mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y)))),mult(Z,mult(plus(X,mult(mult(plus(U,Y),plus(Y,V)),Y)),plus(mult(plus(Y,plus(plus(mult(U,mult(Y,V)),mult(W,Y)),Y)),plus(X1,mult(Y,plus(plus(mult(Y,Y1),mult(W,Y)),Y)))),mult(X,mult(mult(plus(U,Y),plus(Y,V)),Y))))))),
inference('PARAMODULATE',[status(thm)],[3,sos,theory(equality)]) ).
cnf(21,plain,
mult(plus(mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),Y),plus(Y,mult(mult(plus(X,Y),plus(Y,mult(X,Y))),Y))),Z),plus(Y,mult(mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),Y),plus(Y,mult(mult(plus(X,Y),plus(Y,mult(X,Y))),Y))),Z))) = Y,
inference('PARAMODULATE',[status(thm)],[10,sos,theory(equality)]) ).
cnf(46,plain,
mult(plus(X,Y),plus(X,mult(X,Y))) = X,
inference('PARAMODULATE',[status(thm)],[21,21,theory(equality)]) ).
cnf(47,plain,
mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),Z),plus(mult(plus(X,mult(mult(plus(Y,Y),plus(Y,U)),Y)),plus(Y,mult(X,mult(mult(plus(Y,Y),plus(Y,U)),Y)))),mult(mult(plus(X,Y),plus(Y,mult(X,Y))),Z))) = Y,
inference('PARAMODULATE',[status(thm)],[3,21,theory(equality)]) ).
cnf(54,plain,
mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),Z),plus(mult(plus(mult(plus(mult(plus(U,mult(plus(X,Y),plus(Y,mult(X,Y)))),plus(mult(plus(X,Y),plus(Y,mult(X,Y))),mult(U,mult(plus(X,Y),plus(Y,mult(X,Y)))))),mult(plus(X,Y),plus(Y,mult(X,Y)))),plus(mult(plus(X,Y),plus(Y,mult(X,Y))),mult(mult(plus(U,mult(plus(X,Y),plus(Y,mult(X,Y)))),plus(mult(plus(X,Y),plus(Y,mult(X,Y))),mult(U,mult(plus(X,Y),plus(Y,mult(X,Y)))))),mult(plus(X,Y),plus(Y,mult(X,Y)))))),mult(mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),mult(plus(X,Y),plus(Y,mult(X,Y)))),plus(mult(plus(X,Y),plus(Y,mult(X,Y))),V)),mult(plus(X,Y),plus(Y,mult(X,Y))))),plus(Y,mult(mult(plus(mult(plus(U,mult(plus(X,Y),plus(Y,mult(X,Y)))),plus(mult(plus(X,Y),plus(Y,mult(X,Y))),mult(U,mult(plus(X,Y),plus(Y,mult(X,Y)))))),mult(plus(X,Y),plus(Y,mult(X,Y)))),plus(mult(plus(X,Y),plus(Y,mult(X,Y))),mult(mult(plus(U,mult(plus(X,Y),plus(Y,mult(X,Y)))),plus(mult(plus(X,Y),plus(Y,mult(X,Y))),mult(U,mult(plus(X,Y),plus(Y,mult(X,Y)))))),mult(plus(X,Y),plus(Y,mult(X,Y)))))),mult(mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),mult(plus(X,Y),plus(Y,mult(X,Y)))),plus(mult(plus(X,Y),plus(Y,mult(X,Y))),V)),mult(plus(X,Y),plus(Y,mult(X,Y))))))),mult(mult(plus(X,Y),plus(Y,mult(X,Y))),Z))) = mult(plus(X,Y),plus(Y,mult(X,Y))),
inference('PARAMODULATE',[status(thm)],[3,21,theory(equality)]) ).
cnf(74,plain,
mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),Z),plus(mult(plus(X,mult(mult(plus(Y,Y),plus(Y,U)),Y)),plus(mult(plus(V,mult(mult(plus(Y,Y),plus(Y,W)),Y)),plus(Y,mult(V,mult(mult(plus(Y,Y),plus(Y,W)),Y)))),mult(X,mult(mult(plus(Y,Y),plus(Y,U)),Y)))),mult(mult(plus(X,Y),plus(Y,mult(X,Y))),Z))) = Y,
inference('PARAMODULATE',[status(thm)],[10,46,theory(equality)]) ).
cnf(84,plain,
mult(plus(mult(plus(X,mult(plus(Y,Z),plus(Z,mult(Y,Z)))),plus(mult(plus(Y,Z),plus(Z,mult(Y,Z))),mult(X,mult(plus(Y,Z),plus(Z,mult(Y,Z)))))),U),plus(mult(plus(X,mult(mult(plus(Y,Z),plus(Z,mult(Y,Z))),mult(plus(Y,Z),plus(Z,mult(Y,Z))))),plus(Z,mult(X,mult(mult(plus(Y,Z),plus(Z,mult(Y,Z))),mult(plus(Y,Z),plus(Z,mult(Y,Z))))))),mult(mult(plus(X,mult(plus(Y,Z),plus(Z,mult(Y,Z)))),plus(mult(plus(Y,Z),plus(Z,mult(Y,Z))),mult(X,mult(plus(Y,Z),plus(Z,mult(Y,Z)))))),U))) = mult(plus(Y,Z),plus(Z,mult(Y,Z))),
inference('PARAMODULATE',[status(thm)],[3,46,theory(equality)]) ).
cnf(89,plain,
mult(plus(mult(plus(mult(plus(X,plus(plus(mult(Y,mult(X,Z)),mult(U,X)),X)),plus(V,mult(X,plus(plus(mult(X,W),mult(U,X)),X)))),X),plus(X,mult(mult(plus(X,plus(plus(mult(Y,mult(X,Z)),mult(U,X)),X)),plus(V,mult(X,plus(plus(mult(X,W),mult(U,X)),X)))),X))),X1),plus(mult(plus(X,plus(plus(mult(Y,mult(X,Z)),mult(U,X)),X)),plus(V,mult(X,plus(plus(mult(X,W),mult(U,X)),X)))),mult(mult(plus(mult(plus(X,plus(plus(mult(Y,mult(X,Z)),mult(U,X)),X)),plus(V,mult(X,plus(plus(mult(X,W),mult(U,X)),X)))),X),plus(X,mult(mult(plus(X,plus(plus(mult(Y,mult(X,Z)),mult(U,X)),X)),plus(V,mult(X,plus(plus(mult(X,W),mult(U,X)),X)))),X))),X1))) = X,
inference('PARAMODULATE',[status(thm)],[sos,46,theory(equality)]) ).
cnf(95,plain,
mult(plus(mult(plus(mult(plus(X,mult(mult(plus(Y,Z),plus(Z,U)),Z)),plus(mult(plus(Z,plus(plus(mult(Y,mult(Z,U)),mult(V,Z)),Z)),plus(W,mult(Z,plus(plus(mult(Z,X1),mult(V,Z)),Z)))),mult(X,mult(mult(plus(Y,Z),plus(Z,U)),Z)))),Z),plus(Z,mult(mult(plus(X,mult(mult(plus(Y,Z),plus(Z,U)),Z)),plus(mult(plus(Z,plus(plus(mult(Y,mult(Z,U)),mult(V,Z)),Z)),plus(W,mult(Z,plus(plus(mult(Z,X1),mult(V,Z)),Z)))),mult(X,mult(mult(plus(Y,Z),plus(Z,U)),Z)))),Z))),Y1),plus(mult(plus(X,mult(mult(plus(Y,Z),plus(Z,U)),Z)),plus(mult(plus(Z,plus(plus(mult(Y,mult(Z,U)),mult(V,Z)),Z)),plus(W,mult(Z,plus(plus(mult(Z,X1),mult(V,Z)),Z)))),mult(X,mult(mult(plus(Y,Z),plus(Z,U)),Z)))),mult(mult(plus(mult(plus(X,mult(mult(plus(Y,Z),plus(Z,U)),Z)),plus(mult(plus(Z,plus(plus(mult(Y,mult(Z,U)),mult(V,Z)),Z)),plus(W,mult(Z,plus(plus(mult(Z,X1),mult(V,Z)),Z)))),mult(X,mult(mult(plus(Y,Z),plus(Z,U)),Z)))),Z),plus(Z,mult(mult(plus(X,mult(mult(plus(Y,Z),plus(Z,U)),Z)),plus(mult(plus(Z,plus(plus(mult(Y,mult(Z,U)),mult(V,Z)),Z)),plus(W,mult(Z,plus(plus(mult(Z,X1),mult(V,Z)),Z)))),mult(X,mult(mult(plus(Y,Z),plus(Z,U)),Z)))),Z))),Y1))) = Z,
inference('PARAMODULATE',[status(thm)],[10,46,theory(equality)]) ).
cnf(129,plain,
X = mult(plus(Y,mult(mult(plus(X,X),plus(X,Z)),X)),plus(X,mult(Y,mult(mult(plus(X,X),plus(X,Z)),X)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[47,47,theory(equality)]),46,47,theory(equality)]) ).
cnf(132,plain,
mult(plus(mult(plus(X,Y),plus(Y,mult(X,Y))),Z),plus(Y,mult(mult(plus(X,Y),plus(Y,mult(X,Y))),Z))) = Y,
inference('REWRITE',[status(thm)],[74,129,theory(equality)]) ).
cnf(133,plain,
X = mult(plus(Y,X),plus(X,mult(Y,X))),
inference('REWRITE',[status(thm)],[54,132,theory(equality)]) ).
cnf(149,plain,
mult(plus(X,Y),plus(mult(plus(Z,mult(mult(plus(U,X),plus(X,V)),X)),plus(mult(plus(X,plus(plus(mult(U,mult(X,V)),mult(W,X)),X)),plus(X1,mult(X,plus(plus(mult(X,Y1),mult(W,X)),X)))),mult(Z,mult(mult(plus(U,X),plus(X,V)),X)))),mult(X,Y))) = X,
inference('REWRITE',[status(thm)],[95,133,theory(equality)]) ).
cnf(150,plain,
mult(plus(X,Y),plus(mult(plus(X,plus(plus(mult(Z,mult(X,U)),mult(V,X)),X)),plus(W,mult(X,plus(plus(mult(X,X1),mult(V,X)),X)))),mult(X,Y))) = X,
inference('REWRITE',[status(thm)],[89,133,theory(equality)]) ).
cnf(171,plain,
mult(plus(X,Y),plus(mult(plus(Z,mult(X,X)),plus(X,mult(Z,mult(X,X)))),mult(X,Y))) = X,
inference('REWRITE',[status(thm)],[84,133,theory(equality)]) ).
cnf(174,plain,
X = mult(plus(Y,mult(mult(plus(Z,X),plus(X,U)),X)),plus(mult(plus(X,plus(plus(mult(Z,mult(X,U)),mult(V,X)),X)),plus(W,mult(X,plus(plus(mult(X,X1),mult(V,X)),X)))),mult(Y,mult(mult(plus(Z,X),plus(X,U)),X)))),
inference('REWRITE',[status(thm)],[13,46,149,133,theory(equality)]) ).
cnf(177,plain,
mult(plus(plus(X,Y),plus(Y,mult(X,Y))),plus(plus(X,Y),Y)) = plus(X,Y),
inference('PARAMODULATE',[status(thm)],[46,133,theory(equality)]) ).
cnf(178,plain,
plus(X,mult(Y,X)) = mult(plus(plus(Y,X),plus(X,mult(Y,X))),plus(plus(X,mult(Y,X)),X)),
inference('PARAMODULATE',[status(thm)],[133,133,theory(equality)]) ).
cnf(208,plain,
mult(plus(X,mult(Y,Y)),plus(Y,mult(X,mult(Y,Y)))) = Y,
inference('PARAMODULATE',[status(thm)],[133,171,theory(equality)]) ).
cnf(259,plain,
mult(plus(X,Y),plus(plus(plus(mult(X,mult(X,Z)),mult(U,X)),X),mult(X,Y))) = X,
inference('PARAMODULATE',[status(thm)],[150,133,theory(equality)]) ).
cnf(260,plain,
mult(plus(X,plus(plus(mult(Y,mult(X,Z)),mult(U,X)),X)),plus(V,mult(X,plus(plus(mult(X,W),mult(U,X)),X)))) = X,
inference('PARAMODULATE',[status(thm)],[133,150,theory(equality)]) ).
cnf(261,plain,
X = mult(plus(Y,mult(mult(plus(Z,X),plus(X,U)),X)),plus(X,mult(Y,mult(mult(plus(Z,X),plus(X,U)),X)))),
inference('REWRITE',[status(thm)],[174,260,theory(equality)]) ).
cnf(262,plain,
plus(plus(mult(X,mult(X,Y)),mult(Z,X)),X) = X,
inference('PARAMODULATE',[status(thm)],[133,259,theory(equality)]) ).
cnf(263,plain,
X = mult(X,plus(X,mult(plus(mult(X,mult(X,Y)),mult(Z,X)),X))),
inference('PARAMODULATE',[status(thm)],[133,262,theory(equality)]) ).
cnf(267,plain,
plus(plus(mult(plus(X,mult(Y,Y)),Y),mult(Z,plus(X,mult(Y,Y)))),plus(X,mult(Y,Y))) = plus(X,mult(Y,Y)),
inference('PARAMODULATE',[status(thm)],[262,208,theory(equality)]) ).
cnf(285,plain,
plus(plus(mult(X,X),mult(Y,X)),X) = X,
inference('PARAMODULATE',[status(thm)],[262,263,theory(equality)]) ).
cnf(302,plain,
mult(plus(X,plus(X,mult(plus(mult(X,X),mult(Y,X)),X))),plus(X,X)) = X,
inference('PARAMODULATE',[status(thm)],[177,285,theory(equality)]) ).
cnf(303,plain,
plus(plus(mult(plus(X,mult(X,Y)),plus(X,mult(X,Y))),X),plus(X,mult(X,Y))) = plus(X,mult(X,Y)),
inference('PARAMODULATE',[status(thm)],[285,46,theory(equality)]) ).
cnf(304,plain,
plus(plus(mult(plus(X,mult(Y,X)),plus(X,mult(Y,X))),X),plus(X,mult(Y,X))) = plus(X,mult(Y,X)),
inference('PARAMODULATE',[status(thm)],[285,133,theory(equality)]) ).
cnf(453,plain,
plus(plus(mult(plus(X,X),plus(X,X)),X),plus(X,X)) = plus(X,X),
inference('PARAMODULATE',[status(thm)],[285,302,theory(equality)]) ).
cnf(461,plain,
mult(plus(plus(X,X),plus(plus(X,X),mult(plus(mult(plus(X,X),plus(X,X)),X),plus(X,X)))),plus(plus(X,X),plus(X,X))) = plus(X,X),
inference('PARAMODULATE',[status(thm)],[302,302,theory(equality)]) ).
cnf(488,plain,
plus(plus(X,X),mult(plus(mult(plus(X,X),plus(X,X)),X),plus(X,X))) = mult(plus(plus(X,X),plus(plus(X,X),mult(plus(mult(plus(X,X),plus(X,X)),X),plus(X,X)))),plus(plus(plus(X,X),mult(plus(mult(plus(X,X),plus(X,X)),X),plus(X,X))),plus(X,X))),
inference('PARAMODULATE',[status(thm)],[178,453,theory(equality)]) ).
cnf(715,plain,
plus(plus(mult(mult(X,X),X),mult(Y,mult(X,X))),mult(X,X)) = mult(X,X),
inference('PARAMODULATE',[status(thm)],[267,262,theory(equality)]) ).
cnf(734,plain,
mult(mult(X,X),plus(X,mult(plus(mult(mult(X,X),X),mult(Y,mult(X,X))),mult(X,X)))) = X,
inference('PARAMODULATE',[status(thm)],[208,715,theory(equality)]) ).
cnf(775,plain,
plus(plus(mult(plus(mult(X,X),X),plus(mult(X,X),X)),mult(X,X)),plus(mult(X,X),X)) = plus(mult(X,X),X),
inference('PARAMODULATE',[status(thm)],[303,734,theory(equality)]) ).
cnf(800,plain,
mult(plus(X,X),plus(Y,mult(X,plus(plus(mult(X,Z),mult(U,X)),X)))) = X,
inference('PARAMODULATE',[status(thm)],[260,262,theory(equality)]) ).
cnf(855,plain,
mult(plus(X,X),plus(Y,mult(X,X))) = X,
inference('PARAMODULATE',[status(thm)],[800,262,theory(equality)]) ).
cnf(857,plain,
mult(plus(X,X),plus(Y,mult(X,plus(plus(X,mult(Z,X)),X)))) = X,
inference('PARAMODULATE',[status(thm)],[800,263,theory(equality)]) ).
cnf(885,plain,
mult(X,X) = X,
inference('PARAMODULATE',[status(thm)],[208,855,theory(equality)]) ).
cnf(915,plain,
plus(plus(plus(X,mult(Y,X)),X),plus(X,mult(Y,X))) = plus(X,mult(Y,X)),
inference('REWRITE',[status(thm)],[304,885,theory(equality)]) ).
cnf(969,plain,
mult(plus(plus(X,X),plus(plus(X,X),mult(plus(plus(X,X),X),plus(X,X)))),plus(plus(X,X),plus(X,X))) = plus(X,X),
inference('REWRITE',[status(thm)],[461,885,theory(equality)]) ).
cnf(973,plain,
plus(plus(X,X),mult(plus(plus(X,X),X),plus(X,X))) = mult(plus(plus(X,X),plus(plus(X,X),mult(plus(plus(X,X),X),plus(X,X)))),plus(plus(plus(X,X),mult(plus(plus(X,X),X),plus(X,X))),plus(X,X))),
inference('REWRITE',[status(thm)],[488,885,theory(equality)]) ).
cnf(1009,plain,
plus(plus(X,mult(Y,X)),X) = X,
inference('REWRITE',[status(thm)],[285,885,theory(equality)]) ).
cnf(1015,plain,
plus(plus(X,X),mult(plus(plus(X,X),X),plus(X,X))) = mult(plus(plus(X,X),plus(plus(X,X),mult(plus(plus(X,X),X),plus(X,X)))),plus(X,X)),
inference('REWRITE',[status(thm)],[973,1009,theory(equality)]) ).
cnf(1024,plain,
mult(plus(X,X),plus(Y,X)) = X,
inference('REWRITE',[status(thm)],[857,885,1009,theory(equality)]) ).
cnf(1044,plain,
plus(X,plus(X,mult(Y,X))) = plus(X,mult(Y,X)),
inference('REWRITE',[status(thm)],[915,1009,theory(equality)]) ).
cnf(1072,plain,
mult(plus(plus(X,X),mult(plus(plus(X,X),X),plus(X,X))),plus(plus(X,X),plus(X,X))) = plus(X,X),
inference('REWRITE',[status(thm)],[969,1044,theory(equality)]) ).
cnf(1074,plain,
plus(plus(X,X),mult(plus(plus(X,X),X),plus(X,X))) = mult(plus(plus(X,X),mult(plus(plus(X,X),X),plus(X,X))),plus(X,X)),
inference('REWRITE',[status(thm)],[1015,1044,theory(equality)]) ).
cnf(1173,plain,
plus(plus(X,X),plus(X,X)) = plus(X,X),
inference('REWRITE',[status(thm)],[775,1024,885,theory(equality)]) ).
cnf(1175,plain,
plus(plus(X,X),mult(plus(plus(X,X),X),plus(X,X))) = plus(X,X),
inference('REWRITE',[status(thm)],[1072,1074,1173,theory(equality)]) ).
cnf(1176,plain,
plus(X,X) = X,
inference('REWRITE',[status(thm)],[1074,1024,1175,theory(equality)]) ).
cnf(1243,plain,
mult(X,plus(Y,X)) = X,
inference('REWRITE',[status(thm)],[1024,1176,theory(equality)]) ).
cnf(1317,plain,
X = mult(mult(plus(Y,X),plus(X,Z)),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[261,885,theory(equality)]),1243,1176,theory(equality)]) ).
cnf(1318,plain,
$false,
inference('REWRITE',[status(thm)],[goals,1317,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : LAT391-1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n012.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 : Wed Jun 29 00:23:03 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 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 2022-06-29T00:23:03
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n012.cluster.edu at 2022-06-29T00:23:03
% 3.64/3.82
% 3.64/3.82
% 3.64/3.82 #||
% 3.64/3.82 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.64/3.82 % SZS output start Refutation
% See solution above
% 3.64/3.85 ||#
% 3.64/3.85
% 3.64/3.85 ; Summary of computation:
% 3.64/3.85 ; 2784 formulas have been input or derived (from 57 formulas).
% 3.64/3.85 ; 1318 (47%) were retained. Of these,
% 3.64/3.85 ; 974 (74%) were simplified or subsumed later,
% 3.64/3.85 ; 344 (26%) are still being kept.
% 3.64/3.85 ;
% 3.64/3.85 ; Run time in seconds excluding printing time:
% 3.64/3.85 ; 0.002 0% Read assertion file (1 call)
% 3.64/3.85 ; 0.000 0% Assert (2 calls)
% 3.64/3.85 ; 1.529 46% Process new row (2,705 calls)
% 3.64/3.85 ; 0.006 0% Resolution (112 calls)
% 3.64/3.85 ; 0.265 8% Paramodulation (56 calls)
% 3.64/3.85 ; 0.354 11% Forward simplification (2,499 calls)
% 3.64/3.85 ; 1.014 30% Backward simplification (1,318 calls)
% 3.64/3.85 ; 0.158 5% Ordering (5,373 calls)
% 3.64/3.85 ; 0.000 0% Sortal reasoning (32 calls)
% 3.64/3.85 ; 0.000 0% Purity testing (1 call)
% 3.64/3.85 ; 0.031 1% Other
% 3.64/3.85 ; 3.359 Total
% 3.64/3.85 ; 3.382 Real time
% 3.64/3.85 ;
% 3.64/3.85 ; Term-hash-array has 7,898 terms in all.
% 3.64/3.85 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 3.64/3.85 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 3.64/3.85 ; Path-index has 1,368 entries (3,158 at peak, 8,329 added, 6,961 deleted).
% 3.64/3.85 ; Path-index has 230,219 nodes (308,537 at peak, 351,282 added, 121,063 deleted).
% 3.64/3.85 ; Trie-index has 1,368 entries (3,158 at peak, 8,329 added, 6,961 deleted).
% 3.64/3.85 ; Trie-index has 24,091 nodes (441,422 at peak, 652,321 added, 628,230 deleted).
% 3.64/3.85 ; Retrieved 28,871 generalization terms in 59,155 calls.
% 3.64/3.85 ; Retrieved 11,168 instance terms in 1,317 calls.
% 3.64/3.85 ; Retrieved 11,975 unifiable terms in 603 calls.
% 3.64/3.85 ;
% 3.64/3.85 ; The agenda of rows to give has 323 entries:
% 3.64/3.85 ; 2 with value (4 19) 1 with value (4 61) 3 with value (4 106)
% 3.64/3.85 ; 2 with value (4 22) 4 with value (4 62) 4 with value (4 107)
% 3.64/3.85 ; 1 with value (4 24) 1 with value (4 63) 2 with value (4 108)
% 3.64/3.85 ; 3 with value (4 26) 1 with value (4 64) 1 with value (4 109)
% 3.64/3.85 ; 5 with value (4 27) 6 with value (4 65) 1 with value (4 111)
% 3.64/3.85 ; 1 with value (4 28) 5 with value (4 66) 8 with value (4 112)
% 3.64/3.85 ; 3 with value (4 29) 2 with value (4 67) 4 with value (4 115)
% 3.64/3.85 ; 2 with value (4 30) 4 with value (4 68) 2 with value (4 116)
% 3.64/3.85 ; 3 with value (4 31) 2 with value (4 69) 2 with value (4 119)
% 3.64/3.85 ; 1 with value (4 32) 3 with value (4 70) 2 with value (4 120)
% 3.64/3.85 ; 4 with value (4 33) 2 with value (4 71) 1 with value (4 123)
% 3.64/3.85 ; 3 with value (4 34) 5 with value (4 72) 3 with value (4 124)
% 3.64/3.85 ; 4 with value (4 35) 3 with value (4 73) 2 with value (4 125)
% 3.64/3.85 ; 2 with value (4 36) 3 with value (4 74) 4 with value (4 126)
% 3.64/3.85 ; 5 with value (4 37) 2 with value (4 75) 1 with value (4 129)
% 3.64/3.85 ; 4 with value (4 38) 2 with value (4 76) 1 with value (4 130)
% 3.64/3.85 ; 2 with value (4 39) 1 with value (4 77) 1 with value (4 132)
% 3.64/3.85 ; 3 with value (4 40) 7 with value (4 78) 2 with value (4 133)
% 3.64/3.85 ; 5 with value (4 41) 1 with value (4 79) 2 with value (4 137)
% 3.64/3.85 ; 7 with value (4 42) 2 with value (4 80) 2 with value (4 138)
% 3.64/3.85 ; 2 with value (4 43) 4 with value (4 81) 1 with value (4 139)
% 3.64/3.85 ; 9 with value (4 44) 3 with value (4 82) 2 with value (4 140)
% 3.64/3.85 ; 3 with value (4 45) 2 with value (4 83) 1 with value (4 142)
% 3.64/3.85 ; 6 with value (4 46) 8 with value (4 84) 1 with value (4 145)
% 3.64/3.85 ; 3 with value (4 47) 2 with value (4 85) 2 with value (4 146)
% 3.64/3.85 ; 3 with value (4 48) 1 with value (4 88) 1 with value (4 148)
% 3.64/3.85 ; 2 with value (4 49) 1 with value (4 89) 1 with value (4 150)
% 3.64/3.85 ; 2 with value (4 50) 6 with value (4 90) 4 with value (4 151)
% 3.64/3.85 ; 5 with value (4 51) 1 with value (4 91) 1 with value (4 162)
% 3.64/3.85 ; 4 with value (4 52) 3 with value (4 92) 2 with value (4 165)
% 3.64/3.85 ; 7 with value (4 53) 1 with value (4 93) 1 with value (4 185)
% 3.64/3.85 ; 3 with value (4 54) 1 with value (4 94) 1 with value (4 187)
% 3.64/3.85 ; 8 with value (4 55) 3 with value (4 95) 1 with value (4 197)
% 3.64/3.85 ; 2 with value (4 56) 3 with value (4 98) 1 with value (4 215)
% 3.64/3.85 ; 7 with value (4 57) 4 with value (4 100) 1 with value (4 227)
% 3.64/3.85 ; 1 with value (4 58) 4 with value (4 101) 1 with value (4 239)
% 3.64/3.85 ; 9 with value (4 59) 2 with value (4 102) 1 with value (4 259)
% 3.64/3.85 ; 5 with value (4 60) 3 with value (4 105)
% 3.64/3.85 Evaluation took:
% 3.64/3.85 3.382 seconds of real time
% 3.64/3.85 3.138412 seconds of user run time
% 3.64/3.85 0.244336 seconds of system run time
% 3.64/3.85 [Run times include 1.042 seconds GC run time.]
% 3.64/3.85 0 calls to %EVAL
% 3.64/3.85 0 page faults and
% 3.64/3.85 232,698,304 bytes consed.
% 3.64/3.85 :PROOF-FOUND
% 3.64/3.85 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T00:23:07
% 3.64/3.85 :PROOF-FOUND
% 3.64/3.85 *
%------------------------------------------------------------------------------