TSTP Solution File: LAT392-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : LAT392-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 06:45:05 EDT 2022
% Result : Unsatisfiable 3.69s 3.93s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 39
% Number of leaves : 2
% Syntax : Number of clauses : 120 ( 120 unt; 0 nHn; 2 RR)
% Number of literals : 120 ( 119 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 18 ( 2 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 : 343 ( 78 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,
plus(plus(mult(a,b),mult(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(209,plain,
mult(plus(plus(X,mult(Y,Y)),plus(Y,mult(X,mult(Y,Y)))),plus(plus(X,mult(Y,Y)),Y)) = plus(X,mult(Y,Y)),
inference('PARAMODULATE',[status(thm)],[46,208,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(264,plain,
plus(plus(mult(plus(X,Y),X),mult(Z,plus(X,Y))),plus(X,Y)) = plus(X,Y),
inference('PARAMODULATE',[status(thm)],[262,46,theory(equality)]) ).
cnf(265,plain,
plus(plus(mult(plus(X,Y),Y),mult(Z,plus(X,Y))),plus(X,Y)) = plus(X,Y),
inference('PARAMODULATE',[status(thm)],[262,133,theory(equality)]) ).
cnf(266,plain,
mult(plus(X,plus(X,mult(plus(mult(X,mult(X,Y)),mult(Z,X)),X))),plus(X,X)) = X,
inference('PARAMODULATE',[status(thm)],[177,262,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(274,plain,
mult(plus(plus(mult(X,mult(X,Y)),mult(X,X)),plus(X,mult(mult(X,mult(X,Y)),mult(X,X)))),X) = plus(mult(X,mult(X,Y)),mult(X,X)),
inference('PARAMODULATE',[status(thm)],[209,262,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(332,plain,
plus(plus(mult(X,plus(mult(X,X),mult(Y,X))),mult(Z,X)),X) = X,
inference('PARAMODULATE',[status(thm)],[264,285,theory(equality)]) ).
cnf(335,plain,
plus(plus(mult(plus(X,mult(Y,X)),X),X),plus(X,mult(Y,X))) = plus(X,mult(Y,X)),
inference('PARAMODULATE',[status(thm)],[264,133,theory(equality)]) ).
cnf(337,plain,
plus(plus(mult(plus(plus(X,Y),Y),plus(X,Y)),plus(X,Y)),plus(plus(X,Y),Y)) = plus(plus(X,Y),Y),
inference('PARAMODULATE',[status(thm)],[264,177,theory(equality)]) ).
cnf(351,plain,
plus(plus(mult(plus(plus(X,Y),Y),Y),plus(X,Y)),plus(plus(X,Y),Y)) = plus(plus(X,Y),Y),
inference('PARAMODULATE',[status(thm)],[265,177,theory(equality)]) ).
cnf(366,plain,
X = mult(X,plus(X,mult(plus(mult(X,plus(mult(X,X),mult(Y,X))),mult(Z,X)),X))),
inference('PARAMODULATE',[status(thm)],[133,332,theory(equality)]) ).
cnf(379,plain,
mult(plus(plus(mult(X,plus(mult(X,X),mult(Y,X))),mult(X,X)),plus(X,mult(mult(X,plus(mult(X,X),mult(Y,X))),mult(X,X)))),X) = plus(mult(X,plus(mult(X,X),mult(Y,X))),mult(X,X)),
inference('PARAMODULATE',[status(thm)],[209,332,theory(equality)]) ).
cnf(419,plain,
X = mult(plus(Y,mult(mult(X,plus(X,Z)),X)),plus(X,mult(Y,mult(mult(X,plus(X,Z)),X)))),
inference('PARAMODULATE',[status(thm)],[261,262,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(454,plain,
plus(plus(mult(plus(X,X),mult(plus(X,X),Y)),X),plus(X,X)) = plus(X,X),
inference('PARAMODULATE',[status(thm)],[262,302,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(507,plain,
mult(plus(X,mult(Y,X)),plus(plus(mult(plus(X,mult(Y,X)),X),X),mult(plus(mult(plus(X,mult(Y,X)),X),X),plus(X,mult(Y,X))))) = plus(mult(plus(X,mult(Y,X)),X),X),
inference('PARAMODULATE',[status(thm)],[46,335,theory(equality)]) ).
cnf(635,plain,
plus(mult(plus(X,X),mult(plus(X,X),Y)),X) = mult(plus(Z,mult(mult(plus(mult(plus(X,X),mult(plus(X,X),Y)),X),plus(X,X)),plus(mult(plus(X,X),mult(plus(X,X),Y)),X))),plus(plus(mult(plus(X,X),mult(plus(X,X),Y)),X),mult(Z,mult(mult(plus(mult(plus(X,X),mult(plus(X,X),Y)),X),plus(X,X)),plus(mult(plus(X,X),mult(plus(X,X),Y)),X))))),
inference('PARAMODULATE',[status(thm)],[419,454,theory(equality)]) ).
cnf(680,plain,
mult(plus(plus(X,Y),Y),plus(plus(mult(plus(plus(X,Y),Y),plus(X,Y)),plus(X,Y)),mult(plus(mult(plus(plus(X,Y),Y),plus(X,Y)),plus(X,Y)),plus(plus(X,Y),Y)))) = plus(mult(plus(plus(X,Y),Y),plus(X,Y)),plus(X,Y)),
inference('PARAMODULATE',[status(thm)],[46,337,theory(equality)]) ).
cnf(696,plain,
plus(X,mult(Y,X)) = mult(plus(X,mult(Y,X)),plus(plus(X,mult(Y,X)),mult(plus(mult(plus(X,mult(Y,X)),plus(mult(plus(X,mult(Y,X)),plus(X,mult(Y,X))),mult(Z,plus(X,mult(Y,X))))),X),plus(X,mult(Y,X))))),
inference('PARAMODULATE',[status(thm)],[366,133,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(805,plain,
mult(plus(plus(X,X),plus(plus(mult(Y,mult(plus(X,X),Z)),X),plus(X,X))),plus(U,mult(plus(X,X),plus(plus(mult(plus(X,X),V),X),plus(X,X))))) = plus(X,X),
inference('PARAMODULATE',[status(thm)],[260,266,theory(equality)]) ).
cnf(818,plain,
plus(plus(mult(plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),Y),plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y)))) = plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),
inference('PARAMODULATE',[status(thm)],[265,260,theory(equality)]) ).
cnf(823,plain,
plus(plus(mult(plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y)))),Y),plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y)))) = plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),
inference('PARAMODULATE',[status(thm)],[285,260,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(871,plain,
plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))) = mult(plus(plus(Y,Y),plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y)))),plus(plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),Y)),
inference('PARAMODULATE',[status(thm)],[133,800,theory(equality)]) ).
cnf(876,plain,
plus(plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),Y) = mult(plus(plus(plus(Y,Y),plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y)))),plus(plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),Y)),plus(plus(plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),Y),plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))))),
inference('PARAMODULATE',[status(thm)],[178,800,theory(equality)]) ).
cnf(885,plain,
mult(X,X) = X,
inference('PARAMODULATE',[status(thm)],[208,855,theory(equality)]) ).
cnf(906,plain,
plus(plus(plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),Y),plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y)))) = plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),
inference('REWRITE',[status(thm)],[823,885,theory(equality)]) ).
cnf(908,plain,
plus(plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),Y) = mult(plus(plus(plus(Y,Y),plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y)))),plus(plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),Y)),plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y)))),
inference('REWRITE',[status(thm)],[876,906,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(926,plain,
plus(X,mult(Y,X)) = mult(plus(X,mult(Y,X)),plus(plus(X,mult(Y,X)),mult(plus(mult(plus(X,mult(Y,X)),plus(plus(X,mult(Y,X)),mult(Z,plus(X,mult(Y,X))))),X),plus(X,mult(Y,X))))),
inference('REWRITE',[status(thm)],[696,885,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(1008,plain,
mult(plus(plus(mult(X,mult(X,Y)),X),plus(X,mult(mult(X,mult(X,Y)),X))),X) = plus(mult(X,mult(X,Y)),X),
inference('REWRITE',[status(thm)],[274,885,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(1040,plain,
plus(X,mult(Y,X)) = mult(plus(plus(Y,X),plus(X,mult(Y,X))),X),
inference('REWRITE',[status(thm)],[178,1009,theory(equality)]) ).
cnf(1043,plain,
plus(X,mult(mult(X,mult(X,Y)),X)) = plus(mult(X,mult(X,Y)),X),
inference('REWRITE',[status(thm)],[1008,1040,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(1149,plain,
plus(X,mult(mult(X,plus(X,mult(Y,X))),X)) = plus(mult(X,plus(X,mult(Y,X))),X),
inference('REWRITE',[status(thm)],[379,1040,885,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(1219,plain,
plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))) = mult(plus(Y,plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y)))),plus(plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),Y)),
inference('REWRITE',[status(thm)],[871,1176,theory(equality)]) ).
cnf(1220,plain,
plus(plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),Y) = mult(plus(plus(Y,plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y)))),plus(plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y))),Y)),plus(X,mult(Y,plus(plus(mult(Y,Z),mult(U,Y)),Y)))),
inference('REWRITE',[status(thm)],[908,1176,theory(equality)]) ).
cnf(1232,plain,
plus(mult(X,mult(X,Y)),X) = mult(plus(Z,mult(mult(plus(mult(X,mult(X,Y)),X),X),plus(mult(X,mult(X,Y)),X))),plus(plus(mult(X,mult(X,Y)),X),mult(Z,mult(mult(plus(mult(X,mult(X,Y)),X),X),plus(mult(X,mult(X,Y)),X))))),
inference('REWRITE',[status(thm)],[635,1176,theory(equality)]) ).
cnf(1235,plain,
mult(plus(X,plus(plus(mult(Y,mult(X,Z)),X),X)),plus(U,mult(X,plus(plus(mult(X,V),X),X)))) = X,
inference('REWRITE',[status(thm)],[805,1176,theory(equality)]) ).
cnf(1243,plain,
mult(X,plus(Y,X)) = X,
inference('REWRITE',[status(thm)],[1024,1176,theory(equality)]) ).
cnf(1254,plain,
mult(plus(X,plus(plus(mult(Y,mult(X,Z)),X),X)),plus(U,X)) = X,
inference('REWRITE',[status(thm)],[1235,1243,theory(equality)]) ).
cnf(1264,plain,
plus(plus(mult(plus(X,Y),Y),Y),plus(X,Y)) = plus(X,Y),
inference('REWRITE',[status(thm)],[818,1243,theory(equality)]) ).
cnf(1270,plain,
plus(plus(plus(X,Y),Y),plus(X,Y)) = plus(X,Y),
inference('REWRITE',[status(thm)],[906,1243,theory(equality)]) ).
cnf(1302,plain,
plus(X,Y) = mult(plus(Y,plus(X,Y)),plus(plus(X,Y),Y)),
inference('REWRITE',[status(thm)],[1219,1243,theory(equality)]) ).
cnf(1303,plain,
plus(plus(X,Y),Y) = mult(plus(plus(Y,plus(X,Y)),plus(plus(X,Y),Y)),plus(X,Y)),
inference('REWRITE',[status(thm)],[1220,1243,theory(equality)]) ).
cnf(1315,plain,
X = mult(mult(X,plus(X,Y)),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[419,885,theory(equality)]),1243,1176,theory(equality)]) ).
cnf(1316,plain,
X = plus(mult(X,plus(X,mult(Y,X))),X),
inference('REWRITE',[status(thm)],[1149,1176,1315,theory(equality)]) ).
cnf(1333,plain,
plus(mult(X,plus(X,Y)),X) = mult(X,plus(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[46,1315,theory(equality)]),885,theory(equality)]) ).
cnf(1334,plain,
X = mult(X,plus(X,mult(Y,X))),
inference('REWRITE',[status(thm)],[1316,1333,theory(equality)]) ).
cnf(1335,plain,
plus(X,mult(Y,X)) = mult(plus(X,mult(Y,X)),X),
inference('REWRITE',[status(thm)],[926,1009,1334,theory(equality)]) ).
cnf(1344,plain,
plus(X,mult(Y,X)) = X,
inference('REWRITE',[status(thm)],[507,1176,1334,1009,1335,theory(equality)]) ).
cnf(1348,plain,
X = plus(mult(X,mult(X,Y)),X),
inference('REWRITE',[status(thm)],[1043,1344,theory(equality)]) ).
cnf(1349,plain,
X = mult(plus(Y,X),X),
inference('REWRITE',[status(thm)],[1232,1344,885,1348,theory(equality)]) ).
cnf(1367,plain,
plus(plus(X,plus(Y,X)),plus(plus(Y,X),X)) = plus(plus(Y,X),X),
inference('REWRITE',[status(thm)],[351,1349,theory(equality)]) ).
cnf(1368,plain,
plus(plus(X,Y),Y) = mult(plus(plus(X,Y),Y),plus(X,Y)),
inference('REWRITE',[status(thm)],[1303,1367,theory(equality)]) ).
cnf(1369,plain,
mult(plus(plus(X,Y),Y),plus(plus(X,Y),mult(plus(X,Y),plus(plus(X,Y),Y)))) = plus(X,Y),
inference('REWRITE',[status(thm)],[680,1270,1368,theory(equality)]) ).
cnf(1407,plain,
plus(X,plus(Y,X)) = plus(Y,X),
inference('REWRITE',[status(thm)],[1264,1176,1349,theory(equality)]) ).
cnf(1415,plain,
plus(X,Y) = mult(plus(X,Y),plus(plus(X,Y),Y)),
inference('REWRITE',[status(thm)],[1302,1407,theory(equality)]) ).
cnf(1416,plain,
plus(plus(X,Y),Y) = plus(X,Y),
inference('REWRITE',[status(thm)],[1369,1368,1176,1415,theory(equality)]) ).
cnf(1425,plain,
mult(plus(mult(X,mult(Y,Z)),Y),plus(U,Y)) = Y,
inference('REWRITE',[status(thm)],[1254,1416,1407,theory(equality)]) ).
cnf(1439,plain,
mult(mult(X,Y),Y) = mult(X,Y),
inference('PARAMODULATE',[status(thm)],[1243,1344,theory(equality)]) ).
cnf(1448,plain,
plus(mult(X,Y),Y) = Y,
inference('PARAMODULATE',[status(thm)],[1407,1344,theory(equality)]) ).
cnf(1454,plain,
plus(plus(mult(X,mult(Y,X)),mult(Z,X)),X) = X,
inference('PARAMODULATE',[status(thm)],[264,1448,theory(equality)]) ).
cnf(1455,plain,
mult(X,mult(Y,X)) = mult(Y,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[46,1448,theory(equality)]),1176,1439,theory(equality)]) ).
cnf(1458,plain,
plus(plus(mult(X,Y),mult(Z,Y)),Y) = Y,
inference('REWRITE',[status(thm)],[1454,1455,theory(equality)]) ).
cnf(1484,plain,
X = plus(mult(Y,mult(X,Z)),X),
inference('PARAMODULATE',[status(thm)],[885,1425,theory(equality)]) ).
cnf(1485,plain,
X = plus(mult(X,Y),X),
inference('PARAMODULATE',[status(thm)],[1484,885,theory(equality)]) ).
cnf(1486,plain,
X = mult(X,plus(X,Y)),
inference('REWRITE',[status(thm)],[1333,1485,theory(equality)]) ).
cnf(1512,plain,
mult(X,Y) = mult(mult(X,Y),X),
inference('PARAMODULATE',[status(thm)],[1486,1485,theory(equality)]) ).
cnf(1574,plain,
plus(plus(mult(X,Y),mult(Y,Z)),Y) = Y,
inference('PARAMODULATE',[status(thm)],[1458,1512,theory(equality)]) ).
cnf(1575,plain,
$false,
inference('REWRITE',[status(thm)],[goals,1574,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : LAT392-1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n018.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 29 14:37:30 EDT 2022
% 0.12/0.34 % 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 2022-06-29T14:37:30
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-29T14:37:30
% 3.69/3.93
% 3.69/3.93
% 3.69/3.93 #||
% 3.69/3.93 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.69/3.93 % SZS output start Refutation
% See solution above
% 3.76/3.96 ||#
% 3.76/3.96
% 3.76/3.96 ; Summary of computation:
% 3.76/3.96 ; 4229 formulas have been input or derived (from 92 formulas).
% 3.76/3.96 ; 1575 (37%) were retained. Of these,
% 3.76/3.96 ; 1480 (94%) were simplified or subsumed later,
% 3.76/3.96 ; 95 ( 6%) are still being kept.
% 3.76/3.96 ;
% 3.76/3.96 ; Run time in seconds excluding printing time:
% 3.76/3.96 ; 0.002 0% Read assertion file (1 call)
% 3.76/3.96 ; 0.000 0% Assert (2 calls)
% 3.76/3.96 ; 1.552 45% Process new row (4,030 calls)
% 3.76/3.96 ; 0.003 0% Resolution (182 calls)
% 3.76/3.96 ; 0.274 8% Paramodulation (91 calls)
% 3.76/3.96 ; 0.427 12% Forward simplification (3,753 calls)
% 3.76/3.96 ; 1.045 30% Backward simplification (1,575 calls)
% 3.76/3.96 ; 0.114 3% Ordering (7,159 calls)
% 3.76/3.96 ; 0.000 0% Sortal reasoning (32 calls)
% 3.76/3.96 ; 0.000 0% Purity testing (1 call)
% 3.76/3.96 ; 0.037 1% Other
% 3.76/3.96 ; 3.454 Total
% 3.76/3.96 ; 3.491 Real time
% 3.76/3.96 ;
% 3.76/3.96 ; Term-hash-array has 8,621 terms in all.
% 3.76/3.96 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 3.76/3.96 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 3.76/3.96 ; Path-index has 286 entries (3,158 at peak, 9,126 added, 8,840 deleted).
% 3.76/3.96 ; Path-index has 227,750 nodes (308,531 at peak, 352,207 added, 124,457 deleted).
% 3.76/3.96 ; Trie-index has 286 entries (3,158 at peak, 9,126 added, 8,840 deleted).
% 3.76/3.96 ; Trie-index has 1,157 nodes (441,423 at peak, 660,103 added, 658,946 deleted).
% 3.76/3.96 ; Retrieved 50,922 generalization terms in 72,774 calls.
% 3.76/3.96 ; Retrieved 14,118 instance terms in 1,574 calls.
% 3.76/3.96 ; Retrieved 16,518 unifiable terms in 801 calls.
% 3.76/3.96 ;
% 3.76/3.96 ; The agenda of rows to process has 12 entries:
% 3.76/3.96 ; 1 with value 31 1 with value 34 2 with value 36
% 3.76/3.96 ; 4 with value 33 3 with value 35 1 with value 46
% 3.76/3.96 ; The agenda of rows to give has 67 entries:
% 3.76/3.96 ; 8 with value (4 27) 8 with value (4 33) 2 with value (4 40)
% 3.76/3.96 ; 7 with value (4 28) 1 with value (4 34) 2 with value (4 41)
% 3.76/3.96 ; 10 with value (4 29) 2 with value (4 35) 1 with value (4 42)
% 3.76/3.96 ; 6 with value (4 30) 5 with value (4 36) 5 with value (4 45)
% 3.76/3.96 ; 3 with value (4 31) 1 with value (4 37) 1 with value (4 48)
% 3.76/3.96 ; 3 with value (4 32) 1 with value (4 39) 1 with value (4 57)
% 3.76/3.96 Evaluation took:
% 3.76/3.96 3.491 seconds of real time
% 3.76/3.96 3.246889 seconds of user run time
% 3.76/3.96 0.242885 seconds of system run time
% 3.76/3.96 [Run times include 1.021 seconds GC run time.]
% 3.76/3.96 0 calls to %EVAL
% 3.76/3.96 0 page faults and
% 3.76/3.96 257,658,608 bytes consed.
% 3.76/3.96 :PROOF-FOUND
% 3.76/3.96 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-29T14:37:34
% 3.76/3.96 :PROOF-FOUND
% 3.76/3.96 *
%------------------------------------------------------------------------------