TSTP Solution File: BOO073-1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : BOO073-1 : TPTP v8.1.0. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 : Thu Jul 14 23:49:07 EDT 2022
% Result : Unsatisfiable 13.88s 14.04s
% Output : Refutation 13.88s
% Verified :
% SZS Type : Refutation
% Derivation depth : 49
% Number of leaves : 2
% Syntax : Number of clauses : 178 ( 178 unt; 0 nHn; 4 RR)
% Number of literals : 178 ( 177 equ; 3 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 12 ( 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 : 428 ( 79 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(dn1,axiom,
inverse(add(inverse(add(inverse(add(X,Y)),Z)),inverse(add(X,inverse(add(inverse(Z),inverse(add(Z,U)))))))) = Z,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dn1) ).
cnf(huntinton_2,negated_conjecture,
add(add(a,b),c) != add(a,add(b,c)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',huntinton_2) ).
cnf(3,plain,
inverse(add(inverse(add(X,Y)),inverse(add(inverse(add(inverse(add(Z,U)),X)),inverse(add(inverse(Y),inverse(add(Y,V)))))))) = Y,
inference('PARAMODULATE',[status(thm)],[dn1,dn1,theory(equality)]) ).
cnf(8,plain,
inverse(add(inverse(add(X,inverse(X))),X)) = inverse(X),
inference('PARAMODULATE',[status(thm)],[3,dn1,theory(equality)]) ).
cnf(10,plain,
inverse(add(inverse(X),inverse(add(X,inverse(add(inverse(X),inverse(add(X,Y)))))))) = X,
inference('PARAMODULATE',[status(thm)],[dn1,8,theory(equality)]) ).
cnf(16,plain,
inverse(add(inverse(X),inverse(add(X,X)))) = X,
inference('PARAMODULATE',[status(thm)],[10,10,theory(equality)]) ).
cnf(17,plain,
inverse(add(inverse(add(inverse(add(X,Y)),Z)),inverse(add(X,Z)))) = Z,
inference('PARAMODULATE',[status(thm)],[dn1,10,theory(equality)]) ).
cnf(30,plain,
inverse(add(X,inverse(add(add(inverse(X),inverse(add(X,X))),add(inverse(X),inverse(add(X,X))))))) = add(inverse(X),inverse(add(X,X))),
inference('PARAMODULATE',[status(thm)],[16,16,theory(equality)]) ).
cnf(35,plain,
inverse(add(X,inverse(add(add(inverse(X),inverse(add(X,inverse(add(inverse(X),inverse(add(X,Y))))))),add(inverse(X),inverse(add(X,inverse(add(inverse(X),inverse(add(X,Y))))))))))) = add(inverse(X),inverse(add(X,inverse(add(inverse(X),inverse(add(X,Y))))))),
inference('PARAMODULATE',[status(thm)],[16,10,theory(equality)]) ).
cnf(37,plain,
inverse(add(inverse(add(X,Y)),inverse(add(inverse(X),Y)))) = Y,
inference('PARAMODULATE',[status(thm)],[17,16,theory(equality)]) ).
cnf(51,plain,
inverse(add(X,inverse(add(add(inverse(add(inverse(add(Y,Z)),X)),inverse(add(Y,X))),add(inverse(add(inverse(add(Y,Z)),X)),inverse(add(Y,X))))))) = add(inverse(add(inverse(add(Y,Z)),X)),inverse(add(Y,X))),
inference('PARAMODULATE',[status(thm)],[16,17,theory(equality)]) ).
cnf(55,plain,
inverse(add(inverse(add(add(X,inverse(X)),X)),inverse(X))) = X,
inference('PARAMODULATE',[status(thm)],[37,8,theory(equality)]) ).
cnf(56,plain,
inverse(add(inverse(add(X,Y)),inverse(add(inverse(add(Z,X)),Y)))) = Y,
inference('PARAMODULATE',[status(thm)],[17,37,theory(equality)]) ).
cnf(79,plain,
inverse(add(X,inverse(add(add(inverse(add(Y,X)),inverse(add(inverse(Y),X))),add(inverse(add(Y,X)),inverse(add(inverse(Y),X))))))) = add(inverse(add(Y,X)),inverse(add(inverse(Y),X))),
inference('PARAMODULATE',[status(thm)],[16,37,theory(equality)]) ).
cnf(102,plain,
inverse(add(inverse(add(inverse(X),X)),inverse(X))) = X,
inference('PARAMODULATE',[status(thm)],[56,8,theory(equality)]) ).
cnf(103,plain,
inverse(add(inverse(add(inverse(X),Y)),inverse(add(X,Y)))) = Y,
inference('PARAMODULATE',[status(thm)],[56,55,theory(equality)]) ).
cnf(125,plain,
inverse(add(X,inverse(add(add(inverse(add(Y,X)),inverse(add(inverse(add(Z,Y)),X))),add(inverse(add(Y,X)),inverse(add(inverse(add(Z,Y)),X))))))) = add(inverse(add(Y,X)),inverse(add(inverse(add(Z,Y)),X))),
inference('PARAMODULATE',[status(thm)],[16,56,theory(equality)]) ).
cnf(130,plain,
inverse(add(X,inverse(add(inverse(X),inverse(X))))) = inverse(X),
inference('PARAMODULATE',[status(thm)],[17,102,theory(equality)]) ).
cnf(185,plain,
inverse(add(X,inverse(add(inverse(Y),inverse(add(inverse(inverse(add(Y,X))),inverse(add(inverse(add(Y,X)),Z)))))))) = inverse(add(Y,X)),
inference('PARAMODULATE',[status(thm)],[dn1,103,theory(equality)]) ).
cnf(190,plain,
inverse(add(X,inverse(add(add(inverse(add(inverse(Y),X)),inverse(add(Y,X))),add(inverse(add(inverse(Y),X)),inverse(add(Y,X))))))) = add(inverse(add(inverse(Y),X)),inverse(add(Y,X))),
inference('PARAMODULATE',[status(thm)],[16,103,theory(equality)]) ).
cnf(197,plain,
inverse(add(inverse(X),inverse(X))) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[10,130,theory(equality)]),130,theory(equality)]) ).
cnf(198,plain,
inverse(add(X,X)) = inverse(X),
inference('REWRITE',[status(thm)],[130,197,theory(equality)]) ).
cnf(199,plain,
inverse(inverse(X)) = X,
inference('REWRITE',[status(thm)],[197,198,theory(equality)]) ).
cnf(207,plain,
inverse(add(X,inverse(add(inverse(Y),inverse(add(add(Y,X),inverse(add(inverse(add(Y,X)),Z)))))))) = inverse(add(Y,X)),
inference('REWRITE',[status(thm)],[185,199,theory(equality)]) ).
cnf(213,plain,
inverse(X) = add(inverse(X),inverse(add(X,inverse(add(inverse(X),inverse(add(X,Y))))))),
inference('REWRITE',[status(thm)],[35,10,198,theory(equality)]) ).
cnf(214,plain,
inverse(X) = add(inverse(add(inverse(Y),X)),inverse(add(Y,X))),
inference('REWRITE',[status(thm)],[190,103,198,theory(equality)]) ).
cnf(215,plain,
inverse(X) = add(inverse(add(Y,X)),inverse(add(inverse(add(Z,Y)),X))),
inference('REWRITE',[status(thm)],[125,56,198,theory(equality)]) ).
cnf(216,plain,
inverse(X) = add(inverse(add(Y,X)),inverse(add(inverse(Y),X))),
inference('REWRITE',[status(thm)],[79,37,198,theory(equality)]) ).
cnf(217,plain,
inverse(X) = add(inverse(add(inverse(add(Y,Z)),X)),inverse(add(Y,X))),
inference('REWRITE',[status(thm)],[51,17,198,theory(equality)]) ).
cnf(228,plain,
inverse(X) = add(inverse(X),inverse(X)),
inference('REWRITE',[status(thm)],[30,199,198,theory(equality)]) ).
cnf(232,plain,
X = add(X,X),
inference('PARAMODULATE',[status(thm)],[228,199,theory(equality)]) ).
cnf(236,plain,
add(inverse(X),Y) = add(inverse(add(add(X,Y),inverse(add(inverse(X),Y)))),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[216,216,theory(equality)]),199,theory(equality)]) ).
cnf(237,plain,
add(inverse(X),Y) = add(Y,inverse(add(add(X,Y),inverse(add(inverse(X),Y))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[216,216,theory(equality)]),199,theory(equality)]) ).
cnf(243,plain,
add(X,Y) = add(Y,inverse(add(add(inverse(X),Y),inverse(add(X,Y))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[214,214,theory(equality)]),199,theory(equality)]) ).
cnf(247,plain,
add(X,Y) = add(Y,inverse(add(inverse(add(X,Z)),inverse(add(X,Y))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,217,theory(equality)]),199,theory(equality)]) ).
cnf(249,plain,
add(inverse(X),Y) = add(Y,inverse(add(X,inverse(add(inverse(X),Y))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,216,theory(equality)]),199,theory(equality)]) ).
cnf(250,plain,
add(X,Y) = add(Y,inverse(add(inverse(X),inverse(add(X,Y))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,214,theory(equality)]),199,theory(equality)]) ).
cnf(283,plain,
inverse(X) = add(inverse(add(inverse(add(Y,Z)),X)),inverse(add(Z,X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[215,217,theory(equality)]),199,theory(equality)]) ).
cnf(284,plain,
add(X,Y) = add(inverse(add(Y,inverse(add(X,Y)))),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[215,217,theory(equality)]),199,theory(equality)]) ).
cnf(288,plain,
add(inverse(add(X,Y)),Z) = add(Z,inverse(add(Y,inverse(add(inverse(add(X,Y)),Z))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,215,theory(equality)]),199,theory(equality)]) ).
cnf(306,plain,
inverse(X) = add(inverse(add(Y,X)),inverse(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,284,theory(equality)]),232,theory(equality)]) ).
cnf(311,plain,
X = add(inverse(add(Y,inverse(X))),X),
inference('PARAMODULATE',[status(thm)],[306,199,theory(equality)]) ).
cnf(312,plain,
X = add(X,inverse(add(Y,inverse(X)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,306,theory(equality)]),199,theory(equality)]) ).
cnf(313,plain,
add(X,Y) = add(Y,add(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[306,217,theory(equality)]),199,theory(equality)]) ).
cnf(318,plain,
inverse(X) = add(inverse(X),inverse(add(Y,X))),
inference('PARAMODULATE',[status(thm)],[217,311,theory(equality)]) ).
cnf(319,plain,
add(X,Y) = add(add(X,Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[312,217,theory(equality)]),199,theory(equality)]) ).
cnf(331,plain,
add(X,Y) = add(Y,inverse(add(inverse(add(Z,X)),inverse(add(X,Y))))),
inference('PARAMODULATE',[status(thm)],[247,247,theory(equality)]) ).
cnf(332,plain,
add(X,add(X,Y)) = add(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[247,318,theory(equality)]),232,199,theory(equality)]) ).
cnf(334,plain,
inverse(X) = add(inverse(add(inverse(Y),X)),inverse(add(inverse(add(inverse(add(Y,X)),Z)),X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[247,216,theory(equality)]),199,theory(equality)]) ).
cnf(351,plain,
inverse(X) = add(inverse(add(Y,X)),inverse(add(inverse(add(Y,Z)),X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[249,217,theory(equality)]),319,199,theory(equality)]) ).
cnf(355,plain,
add(X,inverse(add(inverse(X),inverse(add(X,Y))))) = inverse(add(inverse(X),inverse(add(X,Y)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[247,249,theory(equality)]),232,theory(equality)]) ).
cnf(361,plain,
inverse(X) = add(inverse(X),inverse(add(X,Y))),
inference('REWRITE',[status(thm)],[213,332,199,355,theory(equality)]) ).
cnf(362,plain,
add(X,Y) = add(Y,X),
inference('REWRITE',[status(thm)],[250,199,361,theory(equality)]) ).
cnf(372,plain,
add(add(a,b),c) != add(a,add(c,b)),
inference('PARAMODULATE',[status(thm)],[huntinton_2,362,theory(equality)]) ).
cnf(374,plain,
add(X,Y) = add(add(X,Y),X),
inference('PARAMODULATE',[status(thm)],[319,362,theory(equality)]) ).
cnf(377,plain,
inverse(X) = add(inverse(add(X,Y)),inverse(X)),
inference('PARAMODULATE',[status(thm)],[306,362,theory(equality)]) ).
cnf(379,plain,
X = add(X,inverse(add(inverse(X),Y))),
inference('PARAMODULATE',[status(thm)],[312,362,theory(equality)]) ).
cnf(380,plain,
inverse(add(X,Y)) = inverse(add(Y,X)),
inference('REWRITE',[status(thm)],[207,199,361,379,theory(equality)]) ).
cnf(390,plain,
X = add(inverse(add(inverse(X),Y)),X),
inference('PARAMODULATE',[status(thm)],[311,362,theory(equality)]) ).
cnf(391,plain,
inverse(X) = add(inverse(add(X,Y)),inverse(add(inverse(Y),X))),
inference('PARAMODULATE',[status(thm)],[216,362,theory(equality)]) ).
cnf(392,plain,
inverse(X) = add(inverse(add(inverse(Y),X)),inverse(add(X,Y))),
inference('PARAMODULATE',[status(thm)],[214,362,theory(equality)]) ).
cnf(394,plain,
inverse(X) = add(inverse(add(X,inverse(Y))),inverse(add(Y,X))),
inference('PARAMODULATE',[status(thm)],[214,362,theory(equality)]) ).
cnf(399,plain,
inverse(X) = add(inverse(add(X,Y)),inverse(add(inverse(add(Z,Y)),X))),
inference('PARAMODULATE',[status(thm)],[215,362,theory(equality)]) ).
cnf(403,plain,
add(X,Y) = add(inverse(add(inverse(add(X,Z)),inverse(add(X,Y)))),Y),
inference('PARAMODULATE',[status(thm)],[247,362,theory(equality)]) ).
cnf(406,plain,
add(X,Y) = add(inverse(add(inverse(add(inverse(X),Z)),inverse(add(X,Y)))),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[217,361,theory(equality)]),199,theory(equality)]) ).
cnf(410,plain,
inverse(add(X,Y)) = add(inverse(add(X,Y)),inverse(add(add(Y,X),Z))),
inference('PARAMODULATE',[status(thm)],[361,380,theory(equality)]) ).
cnf(414,plain,
add(X,Y) = add(add(X,Y),inverse(add(Z,inverse(add(Y,X))))),
inference('PARAMODULATE',[status(thm)],[312,380,theory(equality)]) ).
cnf(421,plain,
add(add(a,b),c) != add(add(c,b),a),
inference('PARAMODULATE',[status(thm)],[372,362,theory(equality)]) ).
cnf(427,plain,
add(X,Y) = add(add(X,Y),inverse(add(inverse(add(Y,X)),Z))),
inference('PARAMODULATE',[status(thm)],[379,380,theory(equality)]) ).
cnf(430,plain,
add(X,Y) = add(inverse(add(inverse(add(Y,X)),Z)),add(X,Y)),
inference('PARAMODULATE',[status(thm)],[390,380,theory(equality)]) ).
cnf(436,plain,
inverse(X) = add(inverse(add(X,Y)),inverse(add(X,inverse(Y)))),
inference('PARAMODULATE',[status(thm)],[391,362,theory(equality)]) ).
cnf(437,plain,
inverse(X) = add(inverse(add(X,add(Y,Z))),inverse(add(inverse(add(Z,Y)),X))),
inference('PARAMODULATE',[status(thm)],[391,380,theory(equality)]) ).
cnf(439,plain,
add(X,Y) = add(inverse(add(inverse(add(X,Y)),add(inverse(X),Y))),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[391,214,theory(equality)]),199,theory(equality)]) ).
cnf(446,plain,
add(X,Y) = add(X,inverse(add(add(inverse(Y),X),inverse(add(X,Y))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[391,391,theory(equality)]),199,theory(equality)]) ).
cnf(454,plain,
inverse(X) = add(inverse(add(X,inverse(Y))),inverse(add(X,Y))),
inference('PARAMODULATE',[status(thm)],[392,362,theory(equality)]) ).
cnf(458,plain,
add(X,Y) = add(X,inverse(add(inverse(add(X,Y)),add(inverse(Y),X)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[392,392,theory(equality)]),199,theory(equality)]) ).
cnf(461,plain,
add(X,Y) = add(Y,inverse(add(inverse(add(X,Y)),add(inverse(X),Y)))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[392,214,theory(equality)]),199,theory(equality)]) ).
cnf(494,plain,
inverse(X) = add(inverse(add(X,inverse(add(Y,Z)))),inverse(add(Z,X))),
inference('PARAMODULATE',[status(thm)],[283,380,theory(equality)]) ).
cnf(495,plain,
inverse(X) = add(inverse(add(inverse(add(Y,Z)),X)),inverse(add(X,Z))),
inference('PARAMODULATE',[status(thm)],[283,380,theory(equality)]) ).
cnf(557,plain,
inverse(X) = add(inverse(add(X,Y)),inverse(add(inverse(add(Y,Z)),X))),
inference('PARAMODULATE',[status(thm)],[351,380,theory(equality)]) ).
cnf(558,plain,
inverse(X) = add(inverse(add(Y,X)),inverse(add(X,inverse(add(Y,Z))))),
inference('PARAMODULATE',[status(thm)],[351,380,theory(equality)]) ).
cnf(571,plain,
add(inverse(X),Y) = add(Y,inverse(add(inverse(add(inverse(add(X,Y)),Z)),inverse(add(inverse(X),Y))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[351,216,theory(equality)]),199,theory(equality)]) ).
cnf(576,plain,
add(inverse(X),Y) = add(Y,inverse(add(inverse(add(inverse(add(Y,X)),Z)),inverse(add(inverse(X),Y))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[351,391,theory(equality)]),199,theory(equality)]) ).
cnf(601,plain,
add(X,Y) = add(X,inverse(add(add(X,inverse(Y)),inverse(add(X,Y))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[394,436,theory(equality)]),199,theory(equality)]) ).
cnf(625,plain,
add(X,Y) = add(inverse(add(inverse(add(X,Y)),inverse(add(inverse(X),Z)))),X),
inference('PARAMODULATE',[status(thm)],[406,380,theory(equality)]) ).
cnf(639,plain,
inverse(add(X,Y)) = add(inverse(add(X,Y)),inverse(add(Y,X))),
inference('PARAMODULATE',[status(thm)],[410,232,theory(equality)]) ).
cnf(662,plain,
add(X,Y) = add(add(X,Y),add(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[312,639,theory(equality)]),199,theory(equality)]) ).
cnf(663,plain,
add(inverse(add(X,Y)),Z) = add(Z,inverse(add(Y,X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[331,639,theory(equality)]),427,199,theory(equality)]) ).
cnf(664,plain,
add(add(X,Y),Z) = add(Z,add(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[331,662,theory(equality)]),199,410,theory(equality)]) ).
cnf(769,plain,
add(inverse(add(X,Y)),Z) = add(inverse(add(Y,X)),add(inverse(add(X,Y)),Z)),
inference('PARAMODULATE',[status(thm)],[313,663,theory(equality)]) ).
cnf(860,plain,
inverse(X) = add(inverse(add(X,inverse(add(Y,Z)))),inverse(add(X,Z))),
inference('PARAMODULATE',[status(thm)],[494,362,theory(equality)]) ).
cnf(861,plain,
add(inverse(add(X,Y)),inverse(add(X,inverse(add(Z,Y))))) = inverse(X),
inference('PARAMODULATE',[status(thm)],[663,494,theory(equality)]) ).
cnf(914,plain,
add(X,Y) = add(inverse(add(inverse(add(Z,Y)),inverse(add(X,Y)))),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[351,495,theory(equality)]),199,theory(equality)]) ).
cnf(944,plain,
inverse(X) = add(inverse(add(X,Y)),inverse(add(X,inverse(add(Y,Z))))),
inference('PARAMODULATE',[status(thm)],[557,362,theory(equality)]) ).
cnf(945,plain,
add(X,Y) = add(inverse(add(inverse(add(X,Y)),inverse(add(Z,Y)))),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[557,495,theory(equality)]),199,theory(equality)]) ).
cnf(981,plain,
add(X,Y) = add(inverse(add(inverse(add(Y,Z)),inverse(add(X,Y)))),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[558,557,theory(equality)]),199,theory(equality)]) ).
cnf(1099,plain,
add(add(inverse(X),Y),inverse(add(X,Y))) = add(inverse(add(inverse(Y),inverse(add(add(inverse(X),Y),inverse(add(X,Y)))))),inverse(add(X,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[236,214,theory(equality)]),199,theory(equality)]) ).
cnf(1105,plain,
add(add(inverse(X),Y),inverse(add(Y,X))) = add(inverse(add(inverse(Y),inverse(add(add(inverse(X),Y),inverse(add(Y,X)))))),inverse(add(Y,X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[236,392,theory(equality)]),199,theory(equality)]) ).
cnf(1162,plain,
add(add(inverse(X),Y),inverse(add(X,Y))) = add(inverse(add(X,Y)),inverse(add(inverse(Y),inverse(add(add(inverse(X),Y),inverse(add(X,Y))))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[237,214,theory(equality)]),199,theory(equality)]) ).
cnf(2729,plain,
add(inverse(add(X,Y)),add(inverse(X),Y)) = add(inverse(add(inverse(add(inverse(add(X,Y)),add(inverse(X),Y))),inverse(Y))),inverse(add(X,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[454,439,theory(equality)]),199,theory(equality)]) ).
cnf(2873,plain,
add(inverse(add(X,Y)),add(Y,inverse(add(Z,X)))) = add(inverse(add(X,Y)),inverse(add(inverse(Y),inverse(add(inverse(add(X,Y)),add(Y,inverse(add(Z,X)))))))),
inference('PARAMODULATE',[status(thm)],[446,494,theory(equality)]) ).
cnf(2899,plain,
add(inverse(X),Y) = add(inverse(add(add(inverse(Y),inverse(X)),inverse(add(inverse(X),Y)))),inverse(add(add(X,inverse(add(add(inverse(Y),inverse(X)),inverse(add(inverse(X),Y))))),inverse(add(inverse(X),Y))))),
inference('PARAMODULATE',[status(thm)],[237,446,theory(equality)]) ).
cnf(3026,plain,
add(inverse(add(X,Y)),add(inverse(add(Z,X)),Y)) = add(inverse(add(X,Y)),inverse(add(inverse(add(inverse(add(X,Y)),add(inverse(add(Z,X)),Y))),inverse(Y)))),
inference('PARAMODULATE',[status(thm)],[458,283,theory(equality)]) ).
cnf(4974,plain,
add(inverse(add(X,Y)),add(inverse(X),Y)) = add(inverse(add(inverse(Y),inverse(add(inverse(add(X,Y)),add(inverse(X),Y))))),inverse(add(inverse(add(inverse(add(X,Y)),Z)),inverse(add(inverse(add(X,Y)),add(inverse(X),Y)))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[334,461,theory(equality)]),199,theory(equality)]) ).
cnf(4976,plain,
add(add(inverse(X),Y),inverse(add(Y,X))) = add(inverse(add(inverse(Y),inverse(add(add(inverse(X),Y),inverse(add(Y,X)))))),inverse(add(inverse(add(inverse(add(Y,X)),Z)),inverse(add(add(inverse(X),Y),inverse(add(Y,X))))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[334,446,theory(equality)]),199,theory(equality)]) ).
cnf(5487,plain,
add(inverse(add(X,Y)),add(X,inverse(add(Y,Z)))) = add(inverse(add(X,Y)),inverse(add(inverse(X),inverse(add(inverse(add(X,Y)),add(X,inverse(add(Y,Z)))))))),
inference('PARAMODULATE',[status(thm)],[601,944,theory(equality)]) ).
cnf(6774,plain,
add(inverse(add(X,inverse(add(X,Y)))),Y) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[288,351,theory(equality)]),232,199,theory(equality)]) ).
cnf(6938,plain,
add(X,inverse(X)) = add(add(inverse(X),Y),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[625,6774,theory(equality)]),199,379,theory(equality)]) ).
cnf(6963,plain,
add(inverse(add(inverse(add(inverse(add(X,Y)),inverse(add(X,Z)))),inverse(add(X,Z)))),Z) = Z,
inference('PARAMODULATE',[status(thm)],[6774,403,theory(equality)]) ).
cnf(6965,plain,
add(inverse(add(inverse(add(inverse(add(X,Y)),inverse(add(Z,Y)))),inverse(add(Z,Y)))),Z) = Z,
inference('PARAMODULATE',[status(thm)],[6774,914,theory(equality)]) ).
cnf(6967,plain,
add(inverse(add(inverse(add(inverse(add(X,Y)),inverse(add(Z,X)))),inverse(add(Z,X)))),Z) = Z,
inference('PARAMODULATE',[status(thm)],[6774,981,theory(equality)]) ).
cnf(6985,plain,
add(inverse(add(inverse(add(X,inverse(add(Y,Z)))),X)),inverse(add(Z,X))) = inverse(add(Z,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6774,494,theory(equality)]),199,theory(equality)]) ).
cnf(7025,plain,
add(inverse(add(add(X,Y),inverse(add(X,Y)))),inverse(add(Z,inverse(add(Y,X))))) = inverse(add(Z,inverse(add(Y,X)))),
inference('PARAMODULATE',[status(thm)],[6774,414,theory(equality)]) ).
cnf(7038,plain,
add(X,inverse(add(X,inverse(Y)))) = add(Y,inverse(add(Y,inverse(add(X,inverse(add(X,inverse(Y)))))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[394,6774,theory(equality)]),199,theory(equality)]) ).
cnf(7041,plain,
add(inverse(add(X,inverse(add(Y,X)))),inverse(add(add(inverse(Y),X),inverse(add(Y,X))))) = inverse(add(add(inverse(Y),X),inverse(add(Y,X)))),
inference('PARAMODULATE',[status(thm)],[6774,243,theory(equality)]) ).
cnf(7082,plain,
add(inverse(add(X,inverse(add(inverse(Y),X)))),inverse(add(add(Y,X),inverse(add(inverse(Y),X))))) = inverse(add(add(Y,X),inverse(add(inverse(Y),X)))),
inference('PARAMODULATE',[status(thm)],[6774,237,theory(equality)]) ).
cnf(7111,plain,
add(inverse(X),X) = add(add(X,Y),inverse(X)),
inference('PARAMODULATE',[status(thm)],[6938,199,theory(equality)]) ).
cnf(7112,plain,
add(X,inverse(X)) = add(X,add(inverse(X),Y)),
inference('PARAMODULATE',[status(thm)],[362,6938,theory(equality)]) ).
cnf(7114,plain,
add(X,inverse(X)) = add(X,add(Y,inverse(X))),
inference('PARAMODULATE',[status(thm)],[664,6938,theory(equality)]) ).
cnf(7117,plain,
add(add(X,Y),inverse(add(X,Y))) = add(inverse(Y),add(X,Y)),
inference('PARAMODULATE',[status(thm)],[6938,216,theory(equality)]) ).
cnf(7120,plain,
add(inverse(add(inverse(X),add(Y,X))),inverse(add(Z,inverse(add(X,Y))))) = inverse(add(Z,inverse(add(X,Y)))),
inference('REWRITE',[status(thm)],[7025,7117,theory(equality)]) ).
cnf(7122,plain,
add(inverse(X),add(Y,X)) = add(inverse(Y),add(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6938,377,theory(equality)]),7117,theory(equality)]) ).
cnf(7128,plain,
add(inverse(X),add(inverse(Y),X)) = add(Y,inverse(Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6938,390,theory(equality)]),7112,7117,theory(equality)]) ).
cnf(7129,plain,
add(X,inverse(X)) = add(inverse(Y),add(Y,inverse(X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6938,394,theory(equality)]),7114,199,7117,theory(equality)]) ).
cnf(7154,plain,
inverse(add(inverse(X),Y)) = add(inverse(add(X,inverse(X))),inverse(add(inverse(add(X,Z)),add(inverse(X),Y)))),
inference('PARAMODULATE',[status(thm)],[557,6938,theory(equality)]) ).
cnf(7180,plain,
add(inverse(add(X,inverse(X))),inverse(add(add(inverse(X),Y),inverse(add(Z,X))))) = inverse(add(inverse(X),Y)),
inference('PARAMODULATE',[status(thm)],[861,6938,theory(equality)]) ).
cnf(7204,plain,
inverse(add(inverse(add(X,Y)),Z)) = add(inverse(add(inverse(Y),add(X,Y))),inverse(add(inverse(add(X,Y)),Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[437,6938,theory(equality)]),769,7117,theory(equality)]) ).
cnf(7228,plain,
add(X,inverse(X)) = add(inverse(Y),add(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[6938,625,theory(equality)]),7112,7128,7114,199,7117,theory(equality)]) ).
cnf(7235,plain,
add(inverse(add(X,inverse(X))),inverse(add(Y,inverse(add(Z,X))))) = inverse(add(Y,inverse(add(Z,X)))),
inference('REWRITE',[status(thm)],[7120,7228,theory(equality)]) ).
cnf(7236,plain,
inverse(add(add(inverse(X),Y),inverse(add(Z,X)))) = inverse(add(inverse(X),Y)),
inference('REWRITE',[status(thm)],[7180,7235,theory(equality)]) ).
cnf(7289,plain,
add(inverse(X),Y) = add(inverse(add(inverse(Y),inverse(X))),inverse(X)),
inference('REWRITE',[status(thm)],[2899,379,312,7236,theory(equality)]) ).
cnf(7304,plain,
add(inverse(add(inverse(add(X,Y)),add(Y,Z))),X) = X,
inference('REWRITE',[status(thm)],[6967,7289,theory(equality)]) ).
cnf(7305,plain,
add(inverse(add(inverse(add(X,Y)),add(Z,Y))),X) = X,
inference('REWRITE',[status(thm)],[6965,7289,theory(equality)]) ).
cnf(7307,plain,
add(inverse(add(inverse(add(X,Y)),add(X,Z))),Y) = Y,
inference('REWRITE',[status(thm)],[6963,7289,theory(equality)]) ).
cnf(7318,plain,
add(add(inverse(X),Y),inverse(add(Y,X))) = add(Y,inverse(add(Y,X))),
inference('REWRITE',[status(thm)],[1105,199,318,7236,theory(equality)]) ).
cnf(7327,plain,
add(X,inverse(add(X,Y))) = add(inverse(Y),X),
inference('REWRITE',[status(thm)],[4976,576,199,318,7318,7236,theory(equality)]) ).
cnf(7336,plain,
add(X,Y) = add(X,inverse(add(inverse(Y),X))),
inference('REWRITE',[status(thm)],[7038,199,7327,theory(equality)]) ).
cnf(7338,plain,
inverse(add(X,Y)) = inverse(add(add(Y,X),inverse(add(inverse(Y),X)))),
inference('REWRITE',[status(thm)],[7082,410,7336,theory(equality)]) ).
cnf(7383,plain,
add(inverse(X),Y) = add(inverse(add(Y,X)),Y),
inference('REWRITE',[status(thm)],[236,7338,theory(equality)]) ).
cnf(7384,plain,
add(inverse(add(add(X,Y),Z)),inverse(add(Y,Z))) = inverse(add(Y,Z)),
inference('REWRITE',[status(thm)],[6985,199,7383,theory(equality)]) ).
cnf(7440,plain,
add(X,inverse(X)) = add(inverse(X),add(X,Y)),
inference('REWRITE',[status(thm)],[7122,7228,theory(equality)]) ).
cnf(7441,plain,
add(X,inverse(X)) = add(Y,inverse(Y)),
inference('REWRITE',[status(thm)],[7129,7440,theory(equality)]) ).
cnf(7447,plain,
inverse(add(inverse(add(X,Y)),Z)) = add(inverse(add(X,inverse(X))),inverse(add(inverse(add(X,Y)),Z))),
inference('REWRITE',[status(thm)],[7204,7228,theory(equality)]) ).
cnf(7448,plain,
inverse(add(inverse(X),Y)) = inverse(add(inverse(add(X,Z)),add(inverse(X),Y))),
inference('REWRITE',[status(thm)],[7154,7447,theory(equality)]) ).
cnf(7474,plain,
add(inverse(add(X,Y)),add(inverse(X),Y)) = add(Y,inverse(add(X,Y))),
inference('REWRITE',[status(thm)],[2729,199,306,7448,theory(equality)]) ).
cnf(7490,plain,
add(X,inverse(add(Y,X))) = add(inverse(Y),X),
inference('REWRITE',[status(thm)],[4974,571,199,318,7474,7448,theory(equality)]) ).
cnf(7491,plain,
inverse(add(inverse(X),Y)) = inverse(add(add(inverse(X),Y),inverse(add(X,Y)))),
inference('REWRITE',[status(thm)],[7041,361,7490,theory(equality)]) ).
cnf(7507,plain,
add(add(inverse(X),Y),inverse(add(X,Y))) = add(inverse(X),Y),
inference('REWRITE',[status(thm)],[1099,7490,199,318,7491,theory(equality)]) ).
cnf(7509,plain,
add(inverse(X),Y) = add(inverse(add(X,Y)),Y),
inference('REWRITE',[status(thm)],[1162,199,318,7507,7491,theory(equality)]) ).
cnf(7579,plain,
add(add(inverse(add(X,Y)),Z),inverse(add(X,Z))) = add(inverse(X),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7383,351,theory(equality)]),7490,199,theory(equality)]) ).
cnf(7608,plain,
add(add(X,Y),inverse(add(X,inverse(add(Z,Y))))) = add(add(Z,Y),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7383,860,theory(equality)]),7327,199,theory(equality)]) ).
cnf(7672,plain,
X = add(inverse(add(Y,inverse(Y))),X),
inference('PARAMODULATE',[status(thm)],[311,7441,theory(equality)]) ).
cnf(7680,plain,
X = add(X,inverse(add(inverse(Y),Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[663,7441,theory(equality)]),7672,theory(equality)]) ).
cnf(7755,plain,
X = inverse(add(inverse(X),inverse(add(Y,add(X,Z))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[494,7111,theory(equality)]),7680,199,theory(equality)]) ).
cnf(7756,plain,
add(inverse(add(X,Y)),add(X,inverse(add(Y,Z)))) = add(inverse(Y),X),
inference('REWRITE',[status(thm)],[5487,7383,7755,theory(equality)]) ).
cnf(7759,plain,
add(inverse(add(X,Y)),add(Y,inverse(add(Z,X)))) = add(inverse(X),Y),
inference('REWRITE',[status(thm)],[2873,7509,7755,theory(equality)]) ).
cnf(7792,plain,
X = inverse(add(inverse(add(Y,add(Z,X))),inverse(X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[399,7228,theory(equality)]),7672,199,theory(equality)]) ).
cnf(7805,plain,
add(inverse(add(X,Y)),add(inverse(add(Z,X)),Y)) = add(inverse(X),Y),
inference('REWRITE',[status(thm)],[3026,7509,7792,theory(equality)]) ).
cnf(9743,plain,
add(inverse(add(X,Y)),add(Y,Z)) = add(inverse(X),add(inverse(add(X,Y)),add(Y,Z))),
inference('PARAMODULATE',[status(thm)],[390,7304,theory(equality)]) ).
cnf(9943,plain,
add(inverse(add(X,Y)),add(Z,Y)) = add(add(inverse(add(X,Y)),add(Z,Y)),inverse(X)),
inference('PARAMODULATE',[status(thm)],[379,7305,theory(equality)]) ).
cnf(9947,plain,
add(add(X,Y),inverse(add(Z,Y))) = add(inverse(Z),add(add(X,Y),inverse(add(Z,Y)))),
inference('PARAMODULATE',[status(thm)],[430,7305,theory(equality)]) ).
cnf(10235,plain,
add(inverse(add(X,Y)),add(X,Z)) = add(inverse(Y),add(inverse(add(X,Y)),add(X,Z))),
inference('PARAMODULATE',[status(thm)],[390,7307,theory(equality)]) ).
cnf(10237,plain,
add(add(X,Y),inverse(add(X,Z))) = add(inverse(Z),add(add(X,Y),inverse(add(X,Z)))),
inference('PARAMODULATE',[status(thm)],[430,7307,theory(equality)]) ).
cnf(10522,plain,
add(inverse(X),Y) = add(add(inverse(X),Y),add(inverse(add(X,Z)),Y)),
inference('PARAMODULATE',[status(thm)],[374,7579,theory(equality)]) ).
cnf(11309,plain,
add(add(X,Y),Z) = add(add(Y,Z),add(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[945,7384,theory(equality)]),199,theory(equality)]) ).
cnf(11590,plain,
add(add(X,Y),Z) = add(add(Z,Y),add(X,Y)),
inference('PARAMODULATE',[status(thm)],[11309,362,theory(equality)]) ).
cnf(11595,plain,
add(inverse(X),Y) = add(add(inverse(add(X,Z)),Y),inverse(X)),
inference('REWRITE',[status(thm)],[10522,11590,theory(equality)]) ).
cnf(11596,plain,
add(inverse(add(X,Y)),add(Z,Y)) = add(inverse(X),add(Z,Y)),
inference('REWRITE',[status(thm)],[9943,11595,theory(equality)]) ).
cnf(11730,plain,
add(inverse(X),add(inverse(add(Y,X)),Z)) = add(inverse(X),Z),
inference('REWRITE',[status(thm)],[7805,11596,theory(equality)]) ).
cnf(11731,plain,
add(inverse(add(X,Y)),add(X,Z)) = add(inverse(Y),add(X,Z)),
inference('REWRITE',[status(thm)],[10235,11730,theory(equality)]) ).
cnf(11738,plain,
add(inverse(X),add(Y,inverse(add(X,Z)))) = add(inverse(X),Y),
inference('REWRITE',[status(thm)],[7756,11731,theory(equality)]) ).
cnf(11739,plain,
add(add(X,Y),inverse(add(Z,Y))) = add(inverse(Z),add(X,Y)),
inference('REWRITE',[status(thm)],[9947,11738,theory(equality)]) ).
cnf(11941,plain,
add(inverse(X),add(inverse(add(X,Y)),Z)) = add(inverse(X),Z),
inference('REWRITE',[status(thm)],[7579,11739,theory(equality)]) ).
cnf(11942,plain,
add(inverse(add(X,Y)),add(Y,Z)) = add(inverse(X),add(Y,Z)),
inference('REWRITE',[status(thm)],[9743,11941,theory(equality)]) ).
cnf(11947,plain,
add(inverse(X),add(Y,inverse(add(Z,X)))) = add(inverse(X),Y),
inference('REWRITE',[status(thm)],[7759,11942,theory(equality)]) ).
cnf(11948,plain,
add(add(X,Y),inverse(add(X,Z))) = add(inverse(Z),add(X,Y)),
inference('REWRITE',[status(thm)],[10237,11947,theory(equality)]) ).
cnf(11990,plain,
add(add(X,Y),Z) = add(add(Z,Y),X),
inference('REWRITE',[status(thm)],[7608,11590,199,11948,theory(equality)]) ).
cnf(11991,plain,
$false,
inference('REWRITE',[status(thm)],[421,11990,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : BOO073-1 : TPTP v8.1.0. Released v2.6.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jun 1 16:16:11 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T16:16:11
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-01T16:16:11
% 13.88/14.04
% 13.88/14.04
% 13.88/14.04 #||
% 13.88/14.04 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 13.88/14.04 % SZS output start Refutation
% See solution above
% 13.88/14.11 ||#
% 13.88/14.11
% 13.88/14.11 ; Summary of computation:
% 13.88/14.11 ; 119558 formulas have been input or derived (from 278 formulas).
% 13.88/14.11 ; 11991 (10%) were retained. Of these,
% 13.88/14.11 ; 6012 (50%) were simplified or subsumed later,
% 13.88/14.11 ; 5979 (50%) are still being kept.
% 13.88/14.11 ;
% 13.88/14.11 ; Run time in seconds excluding printing time:
% 13.88/14.11 ; 0.001 0% Read assertion file (1 call)
% 13.88/14.11 ; 0.000 0% Assert (2 calls)
% 13.88/14.11 ; 1.699 13% Process new row (112,049 calls)
% 13.88/14.11 ; 0.111 1% Resolution (554 calls)
% 13.88/14.11 ; 2.176 16% Paramodulation (277 calls)
% 13.88/14.11 ; 7.012 52% Forward simplification (111,961 calls)
% 13.88/14.11 ; 1.829 13% Backward simplification (11,991 calls)
% 13.88/14.11 ; 0.363 3% Ordering (145,061 calls)
% 13.88/14.11 ; 0.001 0% Sortal reasoning (32 calls)
% 13.88/14.11 ; 0.000 0% Purity testing (1 call)
% 13.88/14.11 ; 0.372 3% Other
% 13.88/14.11 ; 13.564 Total
% 13.88/14.11 ; 13.634 Real time
% 13.88/14.11 ;
% 13.88/14.11 ; Term-hash-array has 35,551 terms in all.
% 13.88/14.11 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 13.88/14.11 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 13.88/14.11 ; Path-index has 17,777 entries (20,963 at peak, 36,121 added, 18,344 deleted).
% 13.88/14.11 ; Path-index has 8,537 nodes (8,719 at peak, 11,959 added, 3,422 deleted).
% 13.88/14.11 ; Trie-index has 17,777 entries (20,963 at peak, 36,121 added, 18,344 deleted).
% 13.88/14.11 ; Trie-index has 61,368 nodes (93,375 at peak, 146,495 added, 85,127 deleted).
% 13.88/14.11 ; Retrieved 2,689,459 generalization terms in 1,412,056 calls.
% 13.88/14.11 ; Retrieved 302,838 instance terms in 12,033 calls.
% 13.88/14.11 ; Retrieved 607,409 unifiable terms in 2,352 calls.
% 13.88/14.11 ;
% 13.88/14.11 ; The agenda of backward simplifiable rows to process has 656 entries:
% 13.88/14.11 ; 656 with value 0
% 13.88/14.11 ; The agenda of rows to process has 774 entries:
% 13.88/14.11 ; 8 with value 28 59 with value 36 12 with value 44
% 13.88/14.11 ; 21 with value 29 73 with value 37 25 with value 45
% 13.88/14.11 ; 24 with value 30 51 with value 38 34 with value 46
% 13.88/14.11 ; 37 with value 31 59 with value 39 4 with value 47
% 13.88/14.11 ; 18 with value 32 49 with value 40 6 with value 48
% 13.88/14.11 ; 33 with value 33 56 with value 41 2 with value 49
% 13.88/14.11 ; 30 with value 34 87 with value 42 7 with value 50
% 13.88/14.11 ; 42 with value 35 33 with value 43 4 with value 53
% 13.88/14.11 ; The agenda of rows to give has 5782 entries:
% 13.88/14.11 ; 1 with value (4 25) 344 with value (4 42) 24 with value (4 54)
% 13.88/14.11 ; 4 with value (4 28) 499 with value (4 43) 24 with value (4 55)
% 13.88/14.11 ; 47 with value (4 31) 438 with value (4 44) 23 with value (4 56)
% 13.88/14.11 ; 108 with value (4 32) 418 with value (4 45) 67 with value (4 57)
% 13.88/14.11 ; 70 with value (4 33) 283 with value (4 46) 127 with value (4 58)
% 13.88/14.11 ; 74 with value (4 34) 312 with value (4 47) 28 with value (4 59)
% 13.88/14.11 ; 117 with value (4 35) 300 with value (4 48) 36 with value (4 60)
% 13.88/14.11 ; 129 with value (4 36) 321 with value (4 49) 71 with value (4 61)
% 13.88/14.11 ; 150 with value (4 37) 257 with value (4 50) 10 with value (4 62)
% 13.88/14.11 ; 255 with value (4 38) 272 with value (4 51) 2 with value (4 63)
% 13.88/14.11 ; 189 with value (4 39) 124 with value (4 52) 5 with value (4 64)
% 13.88/14.11 ; 329 with value (4 40) 58 with value (4 53) 5 with value (4 65)
% 13.88/14.11 ; 261 with value (4 41)
% 13.88/14.11 Evaluation took:
% 13.88/14.11 13.635 seconds of real time
% 13.88/14.11 12.74131 seconds of user run time
% 13.88/14.11 0.891111 seconds of system run time
% 13.88/14.11 [Run times include 1.996 seconds GC run time.]
% 13.88/14.11 0 calls to %EVAL
% 13.88/14.11 0 page faults and
% 13.88/14.11 964,375,744 bytes consed.
% 13.88/14.11 :PROOF-FOUND
% 13.88/14.11 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-01T16:16:25
% 13.88/14.11 :PROOF-FOUND
% 13.88/14.11 *
%------------------------------------------------------------------------------