TSTP Solution File: GRP685+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP685+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Sat Jul 16 11:40:20 EDT 2022
% Result : Theorem 0.96s 1.17s
% Output : Refutation 1.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 34
% Number of leaves : 8
% Syntax : Number of clauses : 158 ( 155 unt; 0 nHn; 6 RR)
% Number of literals : 161 ( 160 equ; 8 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 399 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
ld(X,mult(X,X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f01) ).
cnf(2,axiom,
rd(mult(X,X),X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f02) ).
cnf(3,axiom,
mult(X,ld(X,Y)) = ld(X,mult(X,Y)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f03) ).
cnf(4,axiom,
mult(rd(X,Y),Y) = rd(mult(X,Y),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f04) ).
cnf(5,axiom,
ld(ld(X,Y),mult(ld(X,Y),mult(Z,U))) = mult(ld(X,mult(X,Z)),U),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f05) ).
cnf(6,axiom,
rd(mult(mult(X,Y),rd(Z,U)),rd(Z,U)) = mult(X,rd(mult(Y,U),U)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f06) ).
cnf(7,plain,
mult(rd(mult(X,Y),rd(Z,U)),rd(Z,U)) = mult(X,mult(rd(Y,U),U)),
inference('REWRITE',[status(thm)],[6,4,theory(equality)]) ).
cnf(8,axiom,
ld(X,mult(X,ld(Y,Y))) = rd(mult(rd(X,X),Y),Y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',f07) ).
cnf(9,plain,
ld(X,mult(X,ld(Y,Y))) = mult(rd(rd(X,X),Y),Y),
inference('REWRITE',[status(thm)],[8,4,theory(equality)]) ).
cnf(10,negated_conjecture,
( rd(mult('SKOLEMAAAU1',ld('SKOLEMAAAU2','SKOLEMAAAU3')),ld('SKOLEMAAAU2','SKOLEMAAAU3')) != rd(mult('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU3')
| rd(mult('SKOLEMAAAU1',rd('SKOLEMAAAU2','SKOLEMAAAU3')),rd('SKOLEMAAAU2','SKOLEMAAAU3')) != rd(mult('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU3') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(11,plain,
( mult(rd('SKOLEMAAAU1',ld('SKOLEMAAAU2','SKOLEMAAAU3')),ld('SKOLEMAAAU2','SKOLEMAAAU3')) != mult(rd('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU3')
| mult(rd('SKOLEMAAAU1',rd('SKOLEMAAAU2','SKOLEMAAAU3')),rd('SKOLEMAAAU2','SKOLEMAAAU3')) != mult(rd('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU3') ),
inference('REWRITE',[status(thm)],[10,4,theory(equality)]) ).
cnf(12,plain,
mult(rd(X,X),X) = X,
inference('REWRITE',[status(thm)],[2,4,theory(equality)]) ).
cnf(14,plain,
ld(X,X) = rd(X,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,12,theory(equality)]),1,3,9,theory(equality)]) ).
cnf(15,plain,
ld(X,mult(X,ld(Y,Y))) = mult(rd(ld(X,X),Y),Y),
inference('REWRITE',[status(thm)],[9,14,theory(equality)]) ).
cnf(16,plain,
mult(ld(X,X),X) = X,
inference('REWRITE',[status(thm)],[12,14,theory(equality)]) ).
cnf(17,plain,
mult(rd(X,ld(X,Y)),ld(X,Y)) = rd(ld(X,mult(X,Y)),ld(X,Y)),
inference('PARAMODULATE',[status(thm)],[4,3,theory(equality)]) ).
cnf(18,plain,
mult(rd(rd(ld(X,X),Y),Y),Y) = rd(ld(X,mult(X,ld(Y,Y))),Y),
inference('PARAMODULATE',[status(thm)],[4,15,theory(equality)]) ).
cnf(19,plain,
ld(X,mult(X,mult(Y,Z))) = mult(ld(X,mult(X,Y)),Z),
inference('PARAMODULATE',[status(thm)],[5,1,theory(equality)]) ).
cnf(21,plain,
ld(ld(X,Y),mult(ld(X,Y),Z)) = mult(ld(X,mult(X,ld(Z,Z))),Z),
inference('PARAMODULATE',[status(thm)],[5,16,theory(equality)]) ).
cnf(23,plain,
mult(rd(ld(X,mult(X,Y)),Z),Z) = rd(ld(ld(X,U),mult(ld(X,U),mult(Y,Z))),Z),
inference('PARAMODULATE',[status(thm)],[4,5,theory(equality)]) ).
cnf(27,plain,
ld(ld(X,Y),mult(ld(X,Y),mult(ld(X,Z),U))) = mult(ld(X,ld(X,mult(X,Z))),U),
inference('PARAMODULATE',[status(thm)],[5,3,theory(equality)]) ).
cnf(36,plain,
mult(rd(X,rd(Y,Z)),rd(Y,Z)) = mult(ld(X,X),mult(rd(X,Z),Z)),
inference('PARAMODULATE',[status(thm)],[7,16,theory(equality)]) ).
cnf(37,plain,
mult(ld(mult(X,Y),mult(X,Y)),mult(rd(mult(X,Y),Z),Z)) = mult(X,mult(rd(Y,Z),Z)),
inference('REWRITE',[status(thm)],[7,36,theory(equality)]) ).
cnf(38,plain,
( mult(rd('SKOLEMAAAU1',ld('SKOLEMAAAU2','SKOLEMAAAU3')),ld('SKOLEMAAAU2','SKOLEMAAAU3')) != mult(rd('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU3')
| mult(ld('SKOLEMAAAU1','SKOLEMAAAU1'),mult(rd('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU3')) != mult(rd('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU3') ),
inference('REWRITE',[status(thm)],[11,36,theory(equality)]) ).
cnf(39,plain,
mult(ld(mult(X,Y),mult(X,Y)),mult(mult(rd(X,Y),Y),Y)) = mult(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[37,4,theory(equality)]),16,14,theory(equality)]) ).
cnf(41,plain,
mult(ld(ld(X,mult(X,Y)),ld(X,mult(X,Y))),mult(rd(ld(X,mult(X,Y)),Z),Z)) = mult(X,mult(rd(ld(X,Y),Z),Z)),
inference('PARAMODULATE',[status(thm)],[37,3,theory(equality)]) ).
cnf(44,plain,
mult(X,mult(rd(ld(X,ld(Y,Y)),Z),Z)) = mult(rd(ld(X,X),Y),mult(rd(Y,Z),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[37,15,theory(equality)]),41,theory(equality)]) ).
cnf(48,plain,
ld(X,mult(X,ld(ld(X,X),ld(X,X)))) = ld(X,X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15,14,theory(equality)]),16,theory(equality)]) ).
cnf(49,plain,
mult(X,Y) = mult(X,mult(rd(Y,mult(X,Y)),mult(X,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[37,14,theory(equality)]),16,theory(equality)]) ).
cnf(54,plain,
ld(X,mult(X,mult(X,Y))) = mult(X,Y),
inference('PARAMODULATE',[status(thm)],[19,1,theory(equality)]) ).
cnf(55,plain,
ld(X,mult(X,Y)) = mult(ld(X,mult(X,ld(Y,Y))),Y),
inference('PARAMODULATE',[status(thm)],[19,16,theory(equality)]) ).
cnf(56,plain,
ld(ld(X,Y),mult(ld(X,Y),Z)) = ld(X,mult(X,Z)),
inference('REWRITE',[status(thm)],[21,55,theory(equality)]) ).
cnf(67,plain,
ld(X,mult(X,mult(ld(X,Y),Z))) = mult(ld(X,ld(X,mult(X,Y))),Z),
inference('REWRITE',[status(thm)],[27,56,theory(equality)]) ).
cnf(70,plain,
mult(rd(ld(X,mult(X,Y)),Z),Z) = rd(ld(X,mult(X,mult(Y,Z))),Z),
inference('REWRITE',[status(thm)],[23,56,theory(equality)]) ).
cnf(78,plain,
ld(ld(X,X),X) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[54,16,theory(equality)]),16,theory(equality)]) ).
cnf(79,plain,
ld(X,mult(X,mult(mult(X,Y),Z))) = mult(mult(X,Y),Z),
inference('PARAMODULATE',[status(thm)],[19,54,theory(equality)]) ).
cnf(82,plain,
ld(X,ld(X,mult(X,Y))) = ld(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1,56,theory(equality)]),3,theory(equality)]) ).
cnf(84,plain,
ld(X,mult(X,mult(ld(X,Y),Z))) = mult(ld(X,Y),Z),
inference('REWRITE',[status(thm)],[67,82,theory(equality)]) ).
cnf(85,plain,
ld(mult(X,Y),mult(mult(X,Y),Z)) = ld(X,mult(X,Z)),
inference('PARAMODULATE',[status(thm)],[56,54,theory(equality)]) ).
cnf(89,plain,
ld(ld(X,mult(X,Y)),ld(X,mult(X,mult(Y,Z)))) = ld(X,mult(X,Z)),
inference('PARAMODULATE',[status(thm)],[56,19,theory(equality)]) ).
cnf(90,plain,
mult(ld(X,Y),ld(X,mult(X,Z))) = mult(ld(X,Y),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,56,theory(equality)]),84,56,theory(equality)]) ).
cnf(91,plain,
ld(ld(X,Y),ld(X,mult(X,Z))) = ld(X,mult(X,ld(ld(X,Y),Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[56,3,theory(equality)]),56,theory(equality)]) ).
cnf(92,plain,
ld(ld(X,X),ld(X,X)) = ld(X,X),
inference('REWRITE',[status(thm)],[48,1,3,91,theory(equality)]) ).
cnf(94,plain,
mult(ld(X,X),ld(X,X)) = ld(X,X),
inference('PARAMODULATE',[status(thm)],[16,92,theory(equality)]) ).
cnf(95,plain,
ld(ld(X,Y),ld(X,mult(X,Z))) = ld(ld(X,Y),Z),
inference('PARAMODULATE',[status(thm)],[82,56,theory(equality)]) ).
cnf(96,plain,
ld(ld(X,mult(X,Y)),mult(Y,Z)) = ld(X,mult(X,Z)),
inference('REWRITE',[status(thm)],[89,95,theory(equality)]) ).
cnf(98,plain,
mult(ld(ld(X,mult(X,Y)),Y),mult(rd(ld(X,mult(X,Y)),Z),Z)) = mult(X,mult(rd(ld(X,Y),Z),Z)),
inference('REWRITE',[status(thm)],[41,95,theory(equality)]) ).
cnf(115,plain,
ld(ld(X,mult(X,Y)),mult(Y,X)) = X,
inference('PARAMODULATE',[status(thm)],[1,96,theory(equality)]) ).
cnf(117,plain,
ld(X,ld(ld(X,mult(X,Y)),mult(Y,Z))) = ld(X,Z),
inference('PARAMODULATE',[status(thm)],[82,96,theory(equality)]) ).
cnf(118,plain,
ld(ld(X,mult(X,ld(Y,Y))),Y) = ld(X,mult(X,Y)),
inference('PARAMODULATE',[status(thm)],[96,16,theory(equality)]) ).
cnf(121,plain,
ld(ld(X,mult(X,Y)),ld(Y,mult(Y,Z))) = ld(X,mult(X,ld(Y,Z))),
inference('PARAMODULATE',[status(thm)],[96,3,theory(equality)]) ).
cnf(128,plain,
ld(ld(X,mult(X,Y)),Y) = mult(rd(ld(X,X),Y),Y),
inference('REWRITE',[status(thm)],[15,1,121,theory(equality)]) ).
cnf(129,plain,
mult(rd(rd(ld(X,X),Y),Y),Y) = rd(ld(ld(X,mult(X,Y)),Y),Y),
inference('REWRITE',[status(thm)],[18,1,121,theory(equality)]) ).
cnf(130,plain,
ld(X,mult(X,Y)) = mult(ld(ld(X,mult(X,Y)),Y),Y),
inference('REWRITE',[status(thm)],[55,1,121,theory(equality)]) ).
cnf(136,plain,
ld(ld(ld(X,mult(X,Y)),Y),Y) = ld(X,mult(X,Y)),
inference('REWRITE',[status(thm)],[118,1,121,theory(equality)]) ).
cnf(141,plain,
mult(X,ld(ld(X,mult(X,Y)),mult(Y,Z))) = mult(X,Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,96,theory(equality)]),54,theory(equality)]) ).
cnf(143,plain,
ld(ld(ld(X,mult(X,Y)),Y),ld(Y,Y)) = ld(ld(X,mult(X,Y)),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[96,94,theory(equality)]),1,121,theory(equality)]) ).
cnf(144,plain,
ld(ld(ld(X,mult(X,Y)),ld(Y,mult(Y,Z))),mult(ld(Y,Z),U)) = ld(ld(X,mult(X,Y)),mult(Y,U)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[96,90,theory(equality)]),54,121,theory(equality)]) ).
cnf(160,plain,
ld(ld(ld(rd(mult(X,Y),Z),mult(rd(mult(X,Y),Z),mult(X,Y))),mult(X,Y)),mult(X,mult(rd(Y,Z),Z))) = mult(rd(mult(X,Y),Z),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[115,37,theory(equality)]),54,121,85,theory(equality)]) ).
cnf(175,plain,
ld(ld(rd(X,mult(Y,X)),mult(rd(X,mult(Y,X)),Y)),mult(Y,X)) = mult(rd(X,mult(Y,X)),mult(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[115,49,theory(equality)]),85,theory(equality)]) ).
cnf(208,plain,
ld(ld(X,Y),mult(ld(X,mult(X,Z)),U)) = ld(ld(X,Y),mult(Z,U)),
inference('PARAMODULATE',[status(thm)],[95,19,theory(equality)]) ).
cnf(213,plain,
ld(ld(ld(X,mult(X,Y)),mult(Y,Z)),Z) = mult(rd(ld(ld(X,mult(X,Y)),Y),Z),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[128,95,theory(equality)]),208,theory(equality)]) ).
cnf(238,plain,
ld(ld(X,mult(X,Y)),Y) = rd(ld(X,mult(X,Y)),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,130,theory(equality)]),96,213,theory(equality)]) ).
cnf(247,plain,
mult(X,mult(rd(ld(X,Y),Z),Z)) = mult(ld(ld(X,mult(X,Y)),Y),mult(rd(Y,Z),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[37,130,theory(equality)]),98,95,theory(equality)]) ).
cnf(248,plain,
mult(ld(ld(X,mult(X,Y)),Y),ld(ld(Y,mult(Y,Z)),Z)) = mult(rd(ld(X,X),Y),mult(rd(Y,Z),Z)),
inference('REWRITE',[status(thm)],[44,128,143,1,121,247,theory(equality)]) ).
cnf(290,plain,
ld(X,Y) = ld(X,ld(Z,mult(Z,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[117,90,theory(equality)]),117,144,121,theory(equality)]) ).
cnf(304,plain,
ld(ld(X,mult(X,Y)),Z) = ld(X,mult(X,ld(Y,Z))),
inference('REWRITE',[status(thm)],[121,290,theory(equality)]) ).
cnf(313,plain,
ld(X,ld(Y,Z)) = ld(X,ld(ld(U,mult(U,Y)),Z)),
inference('PARAMODULATE',[status(thm)],[290,304,theory(equality)]) ).
cnf(318,plain,
ld(X,mult(X,mult(ld(Y,Z),U))) = mult(ld(ld(X,mult(X,Y)),Z),U),
inference('PARAMODULATE',[status(thm)],[19,304,theory(equality)]) ).
cnf(323,plain,
mult(X,ld(ld(X,mult(X,Y)),Z)) = mult(X,ld(Y,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,304,theory(equality)]),54,theory(equality)]) ).
cnf(324,plain,
mult(X,ld(Y,mult(Y,Z))) = mult(X,Z),
inference('REWRITE',[status(thm)],[141,323,theory(equality)]) ).
cnf(338,plain,
mult(X,ld(ld(Y,mult(Y,Z)),U)) = mult(X,ld(Z,U)),
inference('PARAMODULATE',[status(thm)],[324,304,theory(equality)]) ).
cnf(340,plain,
mult(ld(ld(X,mult(X,Y)),Y),ld(Z,Z)) = mult(rd(ld(X,X),Y),mult(rd(Y,Z),Z)),
inference('REWRITE',[status(thm)],[248,338,theory(equality)]) ).
cnf(343,plain,
mult(rd(X,ld(Y,mult(Y,Z))),Z) = rd(mult(X,Z),ld(Y,mult(Y,Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,324,theory(equality)]),324,theory(equality)]) ).
cnf(346,plain,
mult(X,ld(ld(mult(Y,Z),mult(Y,Z)),mult(Y,mult(rd(Z,U),U)))) = mult(X,mult(rd(mult(Y,Z),U),U)),
inference('PARAMODULATE',[status(thm)],[324,37,theory(equality)]) ).
cnf(366,plain,
mult(rd(X,ld(X,X)),ld(X,X)) = rd(X,ld(X,X)),
inference('PARAMODULATE',[status(thm)],[17,1,theory(equality)]) ).
cnf(397,plain,
mult(rd(X,ld(Y,Y)),ld(Y,Y)) = mult(ld(X,X),mult(rd(X,Y),Y)),
inference('PARAMODULATE',[status(thm)],[36,14,theory(equality)]) ).
cnf(399,plain,
X = rd(X,ld(X,X)),
inference('REWRITE',[status(thm)],[366,16,14,397,theory(equality)]) ).
cnf(402,plain,
mult(ld(rd(X,rd(Y,Z)),rd(X,rd(Y,Z))),mult(rd(rd(X,rd(Y,Z)),Z),Z)) = rd(mult(ld(X,X),mult(rd(X,Z),Z)),rd(Y,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[4,36,theory(equality)]),36,theory(equality)]) ).
cnf(405,plain,
rd(X,Y) = mult(ld(rd(X,Y),rd(X,Y)),mult(rd(rd(X,Y),Y),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[36,14,theory(equality)]),16,theory(equality)]) ).
cnf(408,plain,
mult(rd(X,ld(ld(Y,mult(Y,Z)),Z)),ld(Z,Z)) = mult(ld(X,X),mult(rd(X,Z),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[36,238,theory(equality)]),338,theory(equality)]) ).
cnf(413,plain,
mult(mult(ld(X,X),mult(rd(X,Y),Y)),rd(Z,Y)) = mult(X,mult(rd(rd(Z,Y),Y),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[36,4,theory(equality)]),54,85,56,3,346,36,theory(equality)]) ).
cnf(427,plain,
mult(rd(X,Y),Y) = mult(ld(X,X),mult(ld(X,X),mult(rd(X,Y),Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[36,399,theory(equality)]),397,theory(equality)]) ).
cnf(470,plain,
mult(X,mult(Y,Z)) = mult(X,mult(mult(rd(Y,Z),Z),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[324,39,theory(equality)]),78,theory(equality)]) ).
cnf(471,plain,
ld(rd(X,Y),mult(rd(X,Y),mult(X,Y))) = mult(mult(rd(X,Y),Y),Y),
inference('PARAMODULATE',[status(thm)],[79,470,theory(equality)]) ).
cnf(520,plain,
mult(rd(ld(X,mult(X,rd(ld(Y,Y),Z))),Z),Z) = rd(ld(ld(X,mult(X,Z)),Z),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[70,128,theory(equality)]),304,338,theory(equality)]) ).
cnf(580,plain,
mult(ld(X,X),mult(rd(X,Y),Y)) = mult(rd(X,Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[397,92,theory(equality)]),427,397,theory(equality)]) ).
cnf(586,plain,
rd(X,Y) = mult(rd(rd(X,Y),Y),Y),
inference('REWRITE',[status(thm)],[405,580,theory(equality)]) ).
cnf(592,plain,
rd(ld(X,X),Y) = rd(ld(ld(X,mult(X,Y)),Y),Y),
inference('REWRITE',[status(thm)],[129,586,theory(equality)]) ).
cnf(609,plain,
mult(rd(ld(X,mult(X,rd(ld(Y,Y),Z))),Z),Z) = rd(ld(X,X),Z),
inference('REWRITE',[status(thm)],[520,592,theory(equality)]) ).
cnf(635,plain,
mult(rd(X,ld(Y,Y)),ld(Y,Y)) = mult(rd(X,Y),Y),
inference('REWRITE',[status(thm)],[397,580,theory(equality)]) ).
cnf(636,plain,
mult(mult(rd(X,Y),Y),rd(Z,Y)) = mult(X,rd(Z,Y)),
inference('REWRITE',[status(thm)],[413,586,580,theory(equality)]) ).
cnf(637,plain,
mult(rd(X,rd(Y,Z)),rd(Y,Z)) = mult(rd(X,Z),Z),
inference('REWRITE',[status(thm)],[36,580,theory(equality)]) ).
cnf(639,plain,
mult(rd(rd(X,rd(Y,Z)),Z),Z) = rd(mult(rd(X,Z),Z),rd(Y,Z)),
inference('REWRITE',[status(thm)],[402,580,theory(equality)]) ).
cnf(641,plain,
mult(rd(X,ld(ld(Y,mult(Y,Z)),Z)),ld(Z,Z)) = mult(rd(X,Z),Z),
inference('REWRITE',[status(thm)],[408,580,theory(equality)]) ).
cnf(656,plain,
mult(rd('SKOLEMAAAU1',ld('SKOLEMAAAU2','SKOLEMAAAU3')),ld('SKOLEMAAAU2','SKOLEMAAAU3')) != mult(rd('SKOLEMAAAU1','SKOLEMAAAU3'),'SKOLEMAAAU3'),
inference('REWRITE',[status(thm)],[38,580,theory(equality)]) ).
cnf(687,plain,
rd(X,rd(Y,Z)) = rd(mult(rd(X,Z),Z),rd(Y,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[586,637,theory(equality)]),639,theory(equality)]) ).
cnf(690,plain,
ld(ld(X,mult(X,rd(Y,Z))),rd(Y,Z)) = ld(ld(X,mult(X,Z)),Z),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[128,637,theory(equality)]),128,theory(equality)]) ).
cnf(695,plain,
mult(ld(ld(X,mult(X,Y)),Y),rd(Z,Y)) = mult(rd(ld(X,mult(X,rd(Z,Y))),Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[637,238,theory(equality)]),690,theory(equality)]) ).
cnf(698,plain,
mult(ld(ld(X,mult(X,Y)),Y),rd(ld(Z,Z),Y)) = rd(ld(X,X),Y),
inference('REWRITE',[status(thm)],[609,695,theory(equality)]) ).
cnf(701,plain,
rd(X,ld(Y,Y)) = mult(rd(rd(X,ld(Y,Y)),Y),Y),
inference('PARAMODULATE',[status(thm)],[586,635,theory(equality)]) ).
cnf(722,plain,
mult(rd(X,Y),Y) = mult(rd(X,ld(Z,mult(Z,Y))),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[635,290,theory(equality)]),324,641,338,theory(equality)]) ).
cnf(726,plain,
mult(rd(X,Y),Y) = rd(mult(X,Y),ld(Z,mult(Z,Y))),
inference('REWRITE',[status(thm)],[343,722,theory(equality)]) ).
cnf(730,plain,
mult(mult(rd(X,Y),Y),ld(Y,Y)) = mult(X,ld(Y,Y)),
inference('PARAMODULATE',[status(thm)],[636,14,theory(equality)]) ).
cnf(733,plain,
ld(rd(X,Y),mult(rd(X,Y),mult(X,Y))) = mult(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[636,399,theory(equality)]),471,635,theory(equality)]) ).
cnf(734,plain,
mult(X,Y) = mult(mult(rd(X,Y),Y),Y),
inference('REWRITE',[status(thm)],[471,733,theory(equality)]) ).
cnf(738,plain,
mult(ld(ld(X,mult(X,Y)),Y),rd(Z,Y)) = mult(ld(X,X),rd(Z,Y)),
inference('PARAMODULATE',[status(thm)],[636,128,theory(equality)]) ).
cnf(739,plain,
mult(ld(X,X),rd(ld(Y,Y),Z)) = rd(ld(X,X),Z),
inference('REWRITE',[status(thm)],[698,738,theory(equality)]) ).
cnf(745,plain,
ld(mult(rd(X,Y),Y),mult(X,rd(Z,Y))) = ld(rd(X,Y),mult(rd(X,Y),rd(Z,Y))),
inference('PARAMODULATE',[status(thm)],[85,636,theory(equality)]) ).
cnf(756,plain,
ld(X,mult(X,Y)) = ld(rd(X,Z),mult(rd(X,Z),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[85,636,theory(equality)]),85,theory(equality)]) ).
cnf(761,plain,
X = mult(rd(X,mult(Y,X)),mult(Y,X)),
inference('REWRITE',[status(thm)],[175,115,756,theory(equality)]) ).
cnf(763,plain,
ld(mult(rd(X,Y),Y),mult(X,rd(Z,Y))) = ld(X,mult(X,rd(Z,Y))),
inference('REWRITE',[status(thm)],[745,756,theory(equality)]) ).
cnf(774,plain,
ld(ld(mult(X,Y),mult(X,Y)),mult(X,mult(rd(Y,Z),Z))) = mult(rd(mult(X,Y),Z),Z),
inference('REWRITE',[status(thm)],[160,54,85,756,theory(equality)]) ).
cnf(781,plain,
ld(X,mult(X,rd(Y,Z))) = mult(ld(X,X),rd(Y,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[130,636,theory(equality)]),738,690,763,theory(equality)]) ).
cnf(783,plain,
ld(X,mult(X,rd(ld(Y,Y),Z))) = rd(ld(X,X),Z),
inference('REWRITE',[status(thm)],[739,781,theory(equality)]) ).
cnf(785,plain,
ld(ld(ld(X,mult(X,Y)),Y),rd(Z,Y)) = ld(X,mult(X,rd(Z,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[136,636,theory(equality)]),690,763,theory(equality)]) ).
cnf(811,plain,
ld(ld(ld(X,mult(X,Y)),Y),rd(ld(Z,Z),Y)) = rd(ld(X,X),Y),
inference('REWRITE',[status(thm)],[783,785,theory(equality)]) ).
cnf(832,plain,
ld(X,Y) = mult(rd(ld(X,Y),Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[761,3,theory(equality)]),722,324,theory(equality)]) ).
cnf(854,plain,
mult(ld(X,X),Y) = ld(X,mult(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[734,128,theory(equality)]),130,theory(equality)]) ).
cnf(869,plain,
X = mult(rd(X,ld(Y,X)),ld(Y,X)),
inference('PARAMODULATE',[status(thm)],[761,832,theory(equality)]) ).
cnf(901,plain,
ld(ld(X,X),Y) = ld(X,mult(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[56,854,theory(equality)]),290,theory(equality)]) ).
cnf(913,plain,
ld(ld(X,X),mult(X,Y)) = mult(X,Y),
inference('REWRITE',[status(thm)],[54,901,theory(equality)]) ).
cnf(939,plain,
ld(X,Y) = ld(X,ld(ld(Z,Z),Y)),
inference('REWRITE',[status(thm)],[290,901,theory(equality)]) ).
cnf(941,plain,
mult(rd(X,Y),Y) = rd(mult(X,Y),ld(ld(Z,Z),Y)),
inference('REWRITE',[status(thm)],[726,901,theory(equality)]) ).
cnf(943,plain,
ld(X,ld(Y,Z)) = ld(X,ld(ld(ld(U,U),Y),Z)),
inference('REWRITE',[status(thm)],[313,901,theory(equality)]) ).
cnf(956,plain,
mult(X,ld(ld(Y,Y),Z)) = mult(X,Z),
inference('REWRITE',[status(thm)],[324,901,theory(equality)]) ).
cnf(958,plain,
mult(X,ld(ld(ld(Y,Y),Z),U)) = mult(X,ld(Z,U)),
inference('REWRITE',[status(thm)],[338,901,theory(equality)]) ).
cnf(978,plain,
ld(ld(ld(X,Y),ld(X,Y)),Z) = ld(ld(X,X),Z),
inference('REWRITE',[status(thm)],[56,901,theory(equality)]) ).
cnf(979,plain,
ld(ld(mult(X,Y),mult(X,Y)),Z) = ld(ld(X,X),Z),
inference('REWRITE',[status(thm)],[85,901,theory(equality)]) ).
cnf(983,plain,
mult(X,mult(rd(Y,Z),Z)) = mult(rd(mult(X,Y),Z),Z),
inference('REWRITE',[status(thm)],[774,913,979,theory(equality)]) ).
cnf(1007,plain,
mult(X,ld(X,Y)) = ld(ld(X,X),Y),
inference('REWRITE',[status(thm)],[3,901,theory(equality)]) ).
cnf(1012,plain,
ld(ld(ld(X,X),Y),Y) = mult(rd(ld(X,X),Y),Y),
inference('REWRITE',[status(thm)],[128,901,theory(equality)]) ).
cnf(1025,plain,
ld(ld(X,X),mult(ld(Y,Z),U)) = mult(ld(ld(ld(X,X),Y),Z),U),
inference('REWRITE',[status(thm)],[318,901,theory(equality)]) ).
cnf(1032,plain,
ld(ld(X,X),mult(ld(Y,Y),ld(Z,Z))) = mult(rd(ld(X,X),Y),mult(rd(Y,Z),Z)),
inference('REWRITE',[status(thm)],[340,1025,901,theory(equality)]) ).
cnf(1068,plain,
ld(ld(X,X),Y) = ld(ld(rd(X,Z),rd(X,Z)),Y),
inference('REWRITE',[status(thm)],[756,901,theory(equality)]) ).
cnf(1078,plain,
ld(ld(ld(ld(X,X),Y),Y),rd(Z,Y)) = ld(ld(X,X),rd(Z,Y)),
inference('REWRITE',[status(thm)],[785,901,theory(equality)]) ).
cnf(1092,plain,
ld(ld(X,X),rd(ld(Y,Y),Z)) = rd(ld(X,X),Z),
inference('REWRITE',[status(thm)],[811,1078,901,theory(equality)]) ).
cnf(1096,plain,
mult(ld(X,X),Y) = ld(ld(X,X),Y),
inference('REWRITE',[status(thm)],[854,901,theory(equality)]) ).
cnf(1101,plain,
ld(ld(X,X),ld(Y,Y)) = mult(rd(ld(X,X),Z),mult(rd(Z,Y),Y)),
inference('REWRITE',[status(thm)],[1032,939,1096,theory(equality)]) ).
cnf(1107,plain,
ld(ld(X,X),ld(X,Y)) = ld(X,Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[913,832,theory(equality)]),978,1068,theory(equality)]) ).
cnf(1129,plain,
ld(ld(X,X),ld(Y,Y)) = rd(ld(X,X),ld(Y,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1092,14,theory(equality)]),1107,theory(equality)]) ).
cnf(1140,plain,
rd(X,ld(ld(Y,Y),ld(Z,Z))) = rd(mult(rd(X,Z),Z),ld(ld(Y,Y),ld(Z,Z))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[687,1129,theory(equality)]),635,theory(equality)]) ).
cnf(1181,plain,
rd(X,mult(Y,X)) = rd(X,ld(ld(Z,Z),mult(Y,X))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[941,761,theory(equality)]),586,theory(equality)]) ).
cnf(1197,plain,
rd(X,ld(Y,Y)) = rd(X,ld(ld(Z,Z),ld(Y,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[941,635,theory(equality)]),1140,586,theory(equality)]) ).
cnf(1216,plain,
mult(rd(X,ld(Y,X)),mult(rd(ld(Y,X),Z),Z)) = mult(rd(X,Z),Z),
inference('PARAMODULATE',[status(thm)],[983,869,theory(equality)]) ).
cnf(1224,plain,
mult(rd(X,ld(Y,Y)),ld(Z,Z)) = mult(rd(X,Y),mult(rd(Y,Z),Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[983,635,theory(equality)]),983,958,1012,theory(equality)]) ).
cnf(1227,plain,
mult(mult(rd(X,Y),Y),ld(Z,Z)) = mult(X,ld(Z,Z)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[983,730,theory(equality)]),983,958,1012,theory(equality)]) ).
cnf(1284,plain,
ld(ld(X,X),ld(Y,Y)) = ld(ld(ld(X,X),mult(Z,Y)),mult(Z,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1101,4,theory(equality)]),1012,734,theory(equality)]) ).
cnf(1339,plain,
rd(X,ld(ld(ld(Y,Y),X),X)) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1181,1012,theory(equality)]),399,1197,943,theory(equality)]) ).
cnf(1347,plain,
mult(X,Y) = mult(mult(X,Y),ld(Y,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[983,1339,theory(equality)]),78,1007,956,399,1197,1284,theory(equality)]) ).
cnf(1349,plain,
ld(X,Y) = mult(ld(X,Y),ld(Y,Y)),
inference('PARAMODULATE',[status(thm)],[1347,832,theory(equality)]) ).
cnf(1354,plain,
rd(X,ld(Y,Y)) = mult(rd(X,Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1347,701,theory(equality)]),78,1096,14,1224,theory(equality)]) ).
cnf(1362,plain,
mult(X,ld(Y,Y)) = mult(rd(X,Z),mult(rd(Z,Y),Y)),
inference('REWRITE',[status(thm)],[1224,1227,1354,theory(equality)]) ).
cnf(1371,plain,
mult(X,ld(Y,Y)) = mult(rd(X,Y),Y),
inference('REWRITE',[status(thm)],[1216,1362,theory(equality)]) ).
cnf(1419,plain,
mult(X,ld(Y,Y)) = mult(rd(X,Z),mult(Z,ld(Y,Y))),
inference('REWRITE',[status(thm)],[1362,1371,theory(equality)]) ).
cnf(1462,plain,
mult('SKOLEMAAAU1',ld(ld('SKOLEMAAAU2','SKOLEMAAAU3'),ld('SKOLEMAAAU2','SKOLEMAAAU3'))) != mult('SKOLEMAAAU1',ld('SKOLEMAAAU3','SKOLEMAAAU3')),
inference('REWRITE',[status(thm)],[656,1371,theory(equality)]) ).
cnf(1508,plain,
mult(X,ld(Y,Y)) = mult(X,ld(ld(Z,Y),ld(Z,Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1419,1349,theory(equality)]),1371,theory(equality)]) ).
cnf(1524,plain,
$false,
inference('REWRITE',[status(thm)],[1462,1508,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP685+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n023.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 14 06:35:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T06:35:36
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-14T06:35:36
% 0.96/1.17
% 0.96/1.17
% 0.96/1.17 #||
% 0.96/1.17 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.96/1.17 % SZS output start Refutation
% See solution above
% 1.03/1.20 ||#
% 1.03/1.20
% 1.03/1.20 ; Summary of computation:
% 1.03/1.20 ; 5523 formulas have been input or derived (from 127 formulas).
% 1.03/1.20 ; 1524 (28%) were retained. Of these,
% 1.03/1.20 ; 1312 (86%) were simplified or subsumed later,
% 1.03/1.20 ; 212 (14%) are still being kept.
% 1.03/1.20 ;
% 1.03/1.20 ; Run time in seconds excluding printing time:
% 1.03/1.20 ; 0.002 0% Read assertion file (1 call)
% 1.03/1.20 ; 0.001 0% Assert (8 calls)
% 1.03/1.20 ; 0.152 22% Process new row (5,459 calls)
% 1.03/1.20 ; 0.013 2% Resolution (252 calls)
% 1.03/1.20 ; 0.071 10% Paramodulation (126 calls)
% 1.03/1.20 ; 0.000 0% Condensing (2 calls)
% 1.03/1.20 ; 0.001 0% Forward subsumption (2 calls)
% 1.03/1.20 ; 0.000 0% Backward subsumption (2 calls)
% 1.03/1.20 ; 0.219 31% Forward simplification (5,203 calls)
% 1.03/1.20 ; 0.107 15% Backward simplification (1,521 calls)
% 1.03/1.20 ; 0.081 12% Ordering (16,704 calls)
% 1.03/1.20 ; 0.001 0% Sortal reasoning (32 calls)
% 1.03/1.20 ; 0.000 0% Purity testing (1 call)
% 1.03/1.20 ; 0.055 8% Other
% 1.03/1.20 ; 0.703 Total
% 1.03/1.20 ; 0.731 Real time
% 1.03/1.20 ;
% 1.03/1.20 ; Term-hash-array has 4,635 terms in all.
% 1.03/1.20 ; Feature-vector-row-index has 0 entries (1 at peak, 2 added, 2 deleted).
% 1.03/1.20 ; Feature-vector-row-index has 1 node (21 at peak, 40 added, 39 deleted).
% 1.03/1.20 ; Retrieved 0 possibly forward subsuming rows in 2 calls.
% 1.03/1.20 ; Retrieved 0 possibly backward subsumed rows in 2 calls.
% 1.03/1.20 ; Path-index has 695 entries (1,261 at peak, 5,509 added, 4,814 deleted).
% 1.03/1.20 ; Path-index has 7,334 nodes (7,555 at peak, 14,165 added, 6,831 deleted).
% 1.03/1.20 ; Trie-index has 695 entries (1,261 at peak, 5,509 added, 4,814 deleted).
% 1.03/1.20 ; Trie-index has 3,794 nodes (8,461 at peak, 37,877 added, 34,083 deleted).
% 1.03/1.20 ; Retrieved 60,829 generalization terms in 63,987 calls.
% 1.03/1.20 ; Retrieved 5,515 instance terms in 1,801 calls.
% 1.03/1.20 ; Retrieved 12,350 unifiable terms in 844 calls.
% 1.03/1.20 ;
% 1.03/1.20 ; The agenda of rows to process has 29 entries:
% 1.03/1.20 ; 1 with value 28 5 with value 34 1 with value 39
% 1.03/1.20 ; 3 with value 29 5 with value 35 3 with value 43
% 1.03/1.20 ; 2 with value 30 2 with value 36 1 with value 44
% 1.03/1.20 ; 2 with value 32 1 with value 38 1 with value 46
% 1.03/1.20 ; 2 with value 33
% 1.03/1.20 ; The agenda of rows to give has 174 entries:
% 1.03/1.20 ; 1 with value (4 21) 27 with value (4 29) 8 with value (4 35)
% 1.03/1.20 ; 4 with value (4 24) 15 with value (4 30) 2 with value (4 37)
% 1.03/1.20 ; 20 with value (4 25) 13 with value (4 31) 4 with value (4 38)
% 1.03/1.20 ; 10 with value (4 26) 8 with value (4 32) 2 with value (4 39)
% 1.03/1.20 ; 17 with value (4 27) 12 with value (4 33) 1 with value (4 42)
% 1.03/1.20 ; 14 with value (4 28) 14 with value (4 34) 2 with value (4 43)
% 1.03/1.20 Evaluation took:
% 1.03/1.20 0.732 seconds of real time
% 1.03/1.20 0.676522 seconds of user run time
% 1.03/1.20 0.055302 seconds of system run time
% 1.03/1.20 [Run times include 0.049 seconds GC run time.]
% 1.03/1.20 0 calls to %EVAL
% 1.03/1.20 0 page faults and
% 1.03/1.20 74,718,872 bytes consed.
% 1.03/1.20 :PROOF-FOUND
% 1.03/1.20 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T06:35:36
% 1.03/1.20 :PROOF-FOUND
% 1.03/1.20 *
%------------------------------------------------------------------------------