%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : GRP707-1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 11:40:27 EDT 2022
% Result : Unsatisfiable 0.81s 1.03s
% Output : Refutation 0.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 28
% Number of leaves : 10
% Syntax : Number of clauses : 124 ( 124 unt; 0 nHn; 9 RR)
% Number of literals : 124 ( 123 equ; 8 neg)
% Maximal clause size : 1 ( 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 : 241 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(c01,axiom,
mult(X,ld(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c01) ).
cnf(c02,axiom,
ld(X,mult(X,Y)) = Y,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c02) ).
cnf(c03,axiom,
mult(rd(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c03) ).
cnf(c04,axiom,
rd(mult(X,Y),Y) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c04) ).
cnf(c05,axiom,
mult(X,unit) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c05) ).
cnf(c06,axiom,
mult(unit,X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c06) ).
cnf(c07,axiom,
mult(X,mult(Y,mult(Y,Z))) = mult(mult(mult(X,Y),Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c07) ).
cnf(c08,axiom,
mult(X,mult(X,mult(X,X))) = unit,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c08) ).
cnf(c09,axiom,
mult(mult(X,X),Y) = mult(Y,mult(X,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',c09) ).
cnf(goals,negated_conjecture,
mult(mult(a,b),a) != mult(a,mult(b,a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(11,plain,
X = ld(unit,X),
inference('PARAMODULATE',[status(thm)],[c06,c01,theory(equality)]) ).
cnf(12,plain,
ld(X,X) = unit,
inference('PARAMODULATE',[status(thm)],[c02,c05,theory(equality)]) ).
cnf(17,plain,
ld(X,unit) = mult(X,mult(X,X)),
inference('PARAMODULATE',[status(thm)],[c02,c08,theory(equality)]) ).
cnf(22,plain,
ld(X,mult(mult(Y,Y),X)) = mult(Y,Y),
inference('PARAMODULATE',[status(thm)],[c02,c09,theory(equality)]) ).
cnf(24,plain,
mult(mult(X,X),Y) = mult(X,mult(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[c06,c07,theory(equality)]),c06,theory(equality)]) ).
cnf(25,plain,
mult(X,mult(Y,Y)) = mult(mult(X,Y),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[c05,c07,theory(equality)]),c05,theory(equality)]) ).
cnf(26,plain,
mult(X,mult(Y,Z)) = mult(mult(mult(X,Y),Y),ld(Y,Z)),
inference('PARAMODULATE',[status(thm)],[c07,c01,theory(equality)]) ).
cnf(27,plain,
mult(X,mult(mult(Y,Y),Y)) = mult(mult(X,Y),mult(Y,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[c07,c09,theory(equality)]),25,theory(equality)]) ).
cnf(29,plain,
mult(mult(X,X),mult(X,Y)) = mult(ld(X,unit),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[c07,c09,theory(equality)]),17,24,theory(equality)]) ).
cnf(37,plain,
mult(mult(mult(mult(X,X),Y),Y),Z) = mult(mult(Y,mult(Y,Z)),mult(X,X)),
inference('PARAMODULATE',[status(thm)],[c09,c07,theory(equality)]) ).
cnf(46,plain,
mult(X,mult(mult(Y,Y),mult(mult(Y,Y),Z))) = mult(mult(mult(mult(Y,Y),X),mult(Y,Y)),Z),
inference('PARAMODULATE',[status(thm)],[c07,c09,theory(equality)]) ).
cnf(55,plain,
mult(mult(X,X),X) = ld(X,unit),
inference('PARAMODULATE',[status(thm)],[c09,17,theory(equality)]) ).
cnf(56,plain,
mult(X,ld(Y,unit)) = mult(mult(X,Y),mult(Y,Y)),
inference('REWRITE',[status(thm)],[27,55,theory(equality)]) ).
cnf(59,plain,
ld(X,ld(X,unit)) = mult(X,X),
inference('PARAMODULATE',[status(thm)],[c02,17,theory(equality)]) ).
cnf(62,plain,
ld(X,mult(ld(Y,ld(Y,unit)),X)) = ld(Y,ld(Y,unit)),
inference('REWRITE',[status(thm)],[22,59,theory(equality)]) ).
cnf(63,plain,
mult(X,ld(Y,ld(Y,unit))) = mult(mult(X,Y),Y),
inference('REWRITE',[status(thm)],[25,59,theory(equality)]) ).
cnf(66,plain,
mult(X,mult(Y,mult(Y,Z))) = mult(mult(X,ld(Y,ld(Y,unit))),Z),
inference('REWRITE',[status(thm)],[c07,63,theory(equality)]) ).
cnf(68,plain,
mult(X,mult(Y,Z)) = mult(mult(X,ld(Y,ld(Y,unit))),ld(Y,Z)),
inference('REWRITE',[status(thm)],[26,63,theory(equality)]) ).
cnf(81,plain,
mult(X,mult(ld(Y,ld(Y,unit)),mult(ld(Y,ld(Y,unit)),Z))) = mult(mult(mult(ld(Y,ld(Y,unit)),X),ld(Y,ld(Y,unit))),Z),
inference('REWRITE',[status(thm)],[46,59,theory(equality)]) ).
cnf(83,plain,
mult(X,ld(Y,unit)) = mult(mult(X,Y),ld(Y,ld(Y,unit))),
inference('REWRITE',[status(thm)],[56,59,theory(equality)]) ).
cnf(84,plain,
mult(ld(X,ld(X,unit)),Y) = mult(Y,ld(X,ld(X,unit))),
inference('REWRITE',[status(thm)],[c09,59,theory(equality)]) ).
cnf(89,plain,
mult(ld(X,ld(X,unit)),Y) = mult(X,mult(X,Y)),
inference('REWRITE',[status(thm)],[24,59,theory(equality)]) ).
cnf(90,plain,
mult(X,mult(ld(ld(Y,ld(Y,unit)),ld(ld(Y,ld(Y,unit)),unit)),Z)) = mult(mult(mult(ld(Y,ld(Y,unit)),X),ld(Y,ld(Y,unit))),Z),
inference('REWRITE',[status(thm)],[81,89,theory(equality)]) ).
cnf(97,plain,
mult(X,mult(ld(Y,ld(Y,unit)),Z)) = mult(mult(X,ld(Y,ld(Y,unit))),Z),
inference('REWRITE',[status(thm)],[66,89,theory(equality)]) ).
cnf(104,plain,
mult(ld(X,ld(X,unit)),mult(X,Y)) = mult(ld(X,unit),Y),
inference('REWRITE',[status(thm)],[29,59,theory(equality)]) ).
cnf(105,plain,
mult(mult(ld(X,ld(X,unit)),ld(Y,ld(Y,unit))),Z) = mult(mult(ld(Y,ld(Y,unit)),Z),ld(X,ld(X,unit))),
inference('REWRITE',[status(thm)],[37,89,63,59,theory(equality)]) ).
cnf(109,plain,
mult(ld(X,ld(X,unit)),X) = ld(X,unit),
inference('REWRITE',[status(thm)],[55,59,theory(equality)]) ).
cnf(112,plain,
mult(X,mult(Y,ld(Z,ld(Z,unit)))) = mult(mult(X,ld(Z,ld(Z,unit))),Y),
inference('PARAMODULATE',[status(thm)],[97,84,theory(equality)]) ).
cnf(123,plain,
mult(X,ld(ld(Y,ld(Y,unit)),ld(ld(Y,ld(Y,unit)),unit))) = X,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[97,59,theory(equality)]),c05,c01,68,theory(equality)]) ).
cnf(126,plain,
ld(mult(ld(X,ld(X,unit)),Y),ld(mult(ld(X,ld(X,unit)),Y),unit)) = mult(Y,mult(ld(ld(X,ld(X,unit)),ld(ld(X,ld(X,unit)),unit)),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[97,59,theory(equality)]),90,theory(equality)]) ).
cnf(132,plain,
mult(X,ld(Y,unit)) = mult(mult(X,ld(Y,ld(Y,unit))),Y),
inference('PARAMODULATE',[status(thm)],[97,109,theory(equality)]) ).
cnf(133,plain,
ld(X,ld(X,unit)) = ld(ld(X,ld(X,unit)),unit),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[84,109,theory(equality)]),123,theory(equality)]) ).
cnf(134,plain,
ld(mult(ld(X,ld(X,unit)),Y),ld(mult(ld(X,ld(X,unit)),Y),unit)) = ld(Y,ld(Y,unit)),
inference('REWRITE',[status(thm)],[126,59,c06,12,133,theory(equality)]) ).
cnf(138,plain,
ld(mult(ld(X,ld(X,unit)),Y),unit) = mult(ld(X,ld(X,unit)),ld(Y,unit)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[97,109,theory(equality)]),83,105,134,theory(equality)]) ).
cnf(140,plain,
mult(rd(X,Y),ld(Y,ld(Y,unit))) = mult(X,Y),
inference('PARAMODULATE',[status(thm)],[63,c03,theory(equality)]) ).
cnf(162,plain,
mult(ld(X,ld(X,unit)),ld(X,Y)) = mult(X,Y),
inference('PARAMODULATE',[status(thm)],[89,c01,theory(equality)]) ).
cnf(164,plain,
ld(X,mult(ld(X,ld(X,unit)),Y)) = mult(X,Y),
inference('PARAMODULATE',[status(thm)],[c02,89,theory(equality)]) ).
cnf(180,plain,
rd(X,Y) = mult(X,ld(Y,unit)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[63,140,theory(equality)]),83,c05,12,133,theory(equality)]) ).
cnf(191,plain,
mult(mult(X,Y),ld(Y,unit)) = X,
inference('REWRITE',[status(thm)],[c04,180,theory(equality)]) ).
cnf(192,plain,
mult(mult(X,ld(Y,unit)),Y) = X,
inference('REWRITE',[status(thm)],[c03,180,theory(equality)]) ).
cnf(199,plain,
ld(mult(X,Y),X) = ld(Y,unit),
inference('PARAMODULATE',[status(thm)],[c02,191,theory(equality)]) ).
cnf(200,plain,
ld(mult(ld(mult(X,Y),ld(mult(X,Y),unit)),Y),unit) = mult(mult(X,Y),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[89,191,theory(equality)]),138,theory(equality)]) ).
cnf(204,plain,
ld(X,Y) = ld(ld(Y,X),unit),
inference('PARAMODULATE',[status(thm)],[199,c01,theory(equality)]) ).
cnf(211,plain,
ld(mult(ld(X,ld(X,unit)),Y),X) = ld(mult(X,Y),unit),
inference('PARAMODULATE',[status(thm)],[199,89,theory(equality)]) ).
cnf(247,plain,
ld(ld(X,ld(X,unit)),ld(ld(X,unit),X)) = unit,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[59,162,theory(equality)]),c01,204,theory(equality)]) ).
cnf(249,plain,
ld(X,Y) = mult(ld(X,unit),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[89,162,theory(equality)]),104,c06,247,204,theory(equality)]) ).
cnf(254,plain,
ld(ld(X,unit),ld(X,Y)) = Y,
inference('PARAMODULATE',[status(thm)],[c02,249,theory(equality)]) ).
cnf(255,plain,
ld(X,ld(ld(X,unit),Y)) = Y,
inference('PARAMODULATE',[status(thm)],[c01,249,theory(equality)]) ).
cnf(256,plain,
ld(ld(X,Y),ld(X,unit)) = ld(Y,unit),
inference('PARAMODULATE',[status(thm)],[199,249,theory(equality)]) ).
cnf(258,plain,
ld(ld(X,Y),Z) = mult(ld(Y,X),Z),
inference('PARAMODULATE',[status(thm)],[249,204,theory(equality)]) ).
cnf(273,plain,
ld(X,ld(ld(mult(Y,X),unit),mult(Y,X))) = mult(mult(Y,X),Y),
inference('REWRITE',[status(thm)],[200,204,258,theory(equality)]) ).
cnf(275,plain,
ld(b,ld(ld(mult(a,b),unit),mult(a,b))) != mult(a,mult(b,a)),
inference('REWRITE',[status(thm)],[goals,273,theory(equality)]) ).
cnf(276,plain,
ld(ld(ld(X,unit),X),ld(X,Y)) = mult(X,Y),
inference('REWRITE',[status(thm)],[162,258,theory(equality)]) ).
cnf(288,plain,
ld(ld(ld(X,unit),X),ld(X,ld(X,Y))) = Y,
inference('REWRITE',[status(thm)],[c01,276,theory(equality)]) ).
cnf(292,plain,
ld(X,ld(ld(ld(Y,X),ld(ld(Y,unit),Y)),ld(ld(ld(Y,unit),Y),ld(Y,X)))) = ld(ld(ld(ld(Y,X),ld(ld(Y,unit),Y)),ld(ld(ld(Y,unit),Y),ld(Y,X))),ld(ld(ld(ld(Y,unit),Y),ld(Y,X)),Y)),
inference('REWRITE',[status(thm)],[273,204,276,theory(equality)]) ).
cnf(294,plain,
ld(ld(X,Y),Z) = ld(ld(ld(X,Y),ld(Y,X)),ld(ld(Y,X),Z)),
inference('REWRITE',[status(thm)],[258,204,276,theory(equality)]) ).
cnf(298,plain,
ld(X,ld(ld(ld(Y,X),ld(ld(Y,unit),Y)),ld(ld(ld(Y,unit),Y),ld(Y,X)))) = ld(ld(ld(Y,X),ld(ld(Y,unit),Y)),Y),
inference('REWRITE',[status(thm)],[292,294,theory(equality)]) ).
cnf(301,plain,
ld(ld(ld(X,ld(Y,unit)),ld(ld(X,unit),X)),Y) = X,
inference('REWRITE',[status(thm)],[192,294,204,276,theory(equality)]) ).
cnf(302,plain,
ld(ld(ld(X,unit),X),ld(X,ld(Y,unit))) = ld(ld(ld(X,ld(Y,ld(Y,unit))),ld(ld(X,unit),X)),Y),
inference('REWRITE',[status(thm)],[132,294,204,276,theory(equality)]) ).
cnf(303,plain,
ld(ld(ld(X,unit),X),ld(X,ld(ld(ld(Y,unit),Y),ld(Y,ld(Z,ld(Z,unit)))))) = ld(ld(ld(X,ld(Z,ld(Z,unit))),ld(ld(X,unit),X)),Y),
inference('REWRITE',[status(thm)],[112,294,204,276,theory(equality)]) ).
cnf(304,plain,
ld(ld(ld(X,unit),X),ld(X,ld(ld(ld(Y,unit),Y),ld(Y,Z)))) = ld(ld(ld(X,ld(Y,ld(Y,unit))),ld(ld(X,unit),X)),ld(Y,Z)),
inference('REWRITE',[status(thm)],[68,294,204,276,theory(equality)]) ).
cnf(312,plain,
ld(ld(ld(X,Y),ld(ld(X,unit),X)),ld(Y,unit)) = X,
inference('REWRITE',[status(thm)],[191,294,204,276,theory(equality)]) ).
cnf(315,plain,
ld(ld(ld(ld(X,unit),X),ld(X,Y)),X) = ld(Y,unit),
inference('REWRITE',[status(thm)],[199,276,theory(equality)]) ).
cnf(322,plain,
ld(ld(ld(a,b),ld(ld(a,unit),a)),a) != ld(ld(ld(a,ld(b,ld(b,unit))),ld(ld(a,unit),a)),ld(b,a)),
inference('REWRITE',[status(thm)],[275,304,298,204,276,theory(equality)]) ).
cnf(329,plain,
ld(ld(ld(X,unit),X),Y) = ld(ld(ld(Y,unit),Y),ld(Y,ld(X,ld(X,unit)))),
inference('REWRITE',[status(thm)],[84,276,258,theory(equality)]) ).
cnf(330,plain,
ld(ld(ld(X,unit),X),ld(X,ld(ld(ld(Y,unit),Y),Z))) = ld(ld(ld(X,ld(Y,ld(Y,unit))),ld(ld(X,unit),X)),Z),
inference('REWRITE',[status(thm)],[303,329,theory(equality)]) ).
cnf(342,plain,
ld(ld(ld(ld(X,unit),X),Y),ld(Y,ld(ld(X,unit),X))) = ld(Y,ld(Y,unit)),
inference('REWRITE',[status(thm)],[134,204,258,theory(equality)]) ).
cnf(344,plain,
ld(X,ld(ld(ld(X,unit),X),Y)) = ld(ld(ld(X,unit),X),ld(X,Y)),
inference('REWRITE',[status(thm)],[164,276,258,theory(equality)]) ).
cnf(347,plain,
ld(ld(ld(ld(X,unit),X),Y),X) = ld(ld(X,Y),ld(ld(X,unit),X)),
inference('REWRITE',[status(thm)],[211,204,276,258,theory(equality)]) ).
cnf(348,plain,
ld(ld(X,ld(X,Y)),ld(ld(X,unit),X)) = ld(Y,unit),
inference('REWRITE',[status(thm)],[315,347,theory(equality)]) ).
cnf(352,plain,
ld(ld(ld(X,unit),X),ld(X,ld(ld(ld(Y,unit),Y),Z))) = ld(ld(X,ld(ld(Y,unit),Y)),Z),
inference('REWRITE',[status(thm)],[97,294,204,329,276,258,theory(equality)]) ).
cnf(354,plain,
ld(ld(X,ld(ld(Y,unit),Y)),Z) = ld(ld(ld(X,ld(Y,ld(Y,unit))),ld(ld(X,unit),X)),Z),
inference('REWRITE',[status(thm)],[330,352,theory(equality)]) ).
cnf(357,plain,
ld(ld(ld(a,b),ld(ld(a,unit),a)),a) != ld(ld(a,ld(ld(b,unit),b)),ld(b,a)),
inference('REWRITE',[status(thm)],[322,354,theory(equality)]) ).
cnf(360,plain,
ld(ld(ld(X,unit),X),ld(X,ld(Y,unit))) = ld(ld(X,ld(ld(Y,unit),Y)),Y),
inference('REWRITE',[status(thm)],[302,354,theory(equality)]) ).
cnf(361,plain,
ld(ld(ld(b,a),ld(a,b)),ld(b,unit)) != ld(ld(a,ld(ld(b,unit),b)),ld(b,a)),
inference('REWRITE',[status(thm)],[357,256,204,360,theory(equality)]) ).
cnf(378,plain,
ld(X,ld(ld(ld(Y,unit),Y),X)) = ld(Y,ld(Y,unit)),
inference('REWRITE',[status(thm)],[62,258,theory(equality)]) ).
cnf(394,plain,
ld(ld(X,Y),ld(ld(Y,X),Z)) = Z,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[288,204,theory(equality)]),294,theory(equality)]) ).
cnf(395,plain,
ld(ld(ld(X,unit),X),Y) = ld(X,ld(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[288,288,theory(equality)]),11,348,204,theory(equality)]) ).
cnf(402,plain,
ld(ld(X,ld(ld(X,Y),ld(Y,X))),Y) = ld(ld(X,Y),ld(ld(X,unit),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[301,301,theory(equality)]),342,11,204,theory(equality)]) ).
cnf(406,plain,
ld(ld(X,unit),ld(ld(Y,X),Y)) = ld(ld(Y,unit),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[312,288,theory(equality)]),204,11,348,395,theory(equality)]) ).
cnf(419,plain,
ld(ld(ld(X,unit),X),ld(X,Y)) = ld(ld(X,unit),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[352,11,theory(equality)]),11,theory(equality)]) ).
cnf(427,plain,
ld(ld(X,unit),ld(ld(ld(Y,unit),Y),Z)) = ld(ld(X,ld(ld(Y,unit),Y)),Z),
inference('REWRITE',[status(thm)],[352,419,theory(equality)]) ).
cnf(432,plain,
ld(ld(ld(X,unit),Y),ld(ld(ld(Y,unit),Y),X)) = Y,
inference('REWRITE',[status(thm)],[301,204,427,theory(equality)]) ).
cnf(456,plain,
ld(X,ld(ld(ld(X,unit),X),Y)) = ld(ld(X,unit),Y),
inference('REWRITE',[status(thm)],[344,419,theory(equality)]) ).
cnf(481,plain,
ld(ld(ld(X,unit),Y),X) = ld(Y,unit),
inference('PARAMODULATE',[status(thm)],[204,255,theory(equality)]) ).
cnf(485,plain,
ld(X,ld(X,ld(Y,unit))) = ld(Y,ld(ld(X,unit),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[256,432,theory(equality)]),204,theory(equality)]) ).
cnf(486,plain,
ld(ld(ld(b,a),ld(a,b)),ld(b,unit)) != ld(ld(b,ld(b,ld(a,unit))),ld(b,a)),
inference('REWRITE',[status(thm)],[361,485,theory(equality)]) ).
cnf(494,plain,
ld(ld(ld(X,unit),Y),ld(Y,ld(Y,X))) = Y,
inference('PARAMODULATE',[status(thm)],[432,395,theory(equality)]) ).
cnf(495,plain,
ld(X,ld(ld(Y,unit),Y)) = ld(ld(Y,X),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[204,395,theory(equality)]),204,theory(equality)]) ).
cnf(525,plain,
ld(X,ld(X,ld(Y,unit))) = ld(ld(X,Y),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[256,494,theory(equality)]),204,theory(equality)]) ).
cnf(526,plain,
ld(ld(ld(b,a),ld(a,b)),ld(b,unit)) != ld(ld(ld(b,a),b),ld(b,a)),
inference('REWRITE',[status(thm)],[486,525,theory(equality)]) ).
cnf(527,plain,
ld(ld(ld(X,Y),Y),ld(ld(Y,unit),X)) = Y,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[494,395,theory(equality)]),456,204,theory(equality)]) ).
cnf(539,plain,
ld(ld(X,Y),ld(ld(X,unit),X)) = ld(Y,ld(X,unit)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[348,255,theory(equality)]),204,theory(equality)]) ).
cnf(547,plain,
ld(ld(X,ld(ld(X,Y),ld(Y,X))),Y) = ld(Y,ld(X,unit)),
inference('REWRITE',[status(thm)],[402,539,theory(equality)]) ).
cnf(580,plain,
ld(X,ld(ld(Y,unit),ld(X,Y))) = ld(ld(Y,X),ld(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[406,256,theory(equality)]),11,204,theory(equality)]) ).
cnf(600,plain,
ld(X,ld(ld(Y,Z),ld(Z,Y))) = ld(ld(ld(Z,Y),X),ld(Z,Y)),
inference('PARAMODULATE',[status(thm)],[495,204,theory(equality)]) ).
cnf(601,plain,
ld(ld(ld(ld(X,Y),Y),ld(X,Y)),X) = ld(X,ld(Y,unit)),
inference('REWRITE',[status(thm)],[547,600,theory(equality)]) ).
cnf(616,plain,
ld(ld(X,unit),ld(ld(Y,ld(ld(X,unit),X)),ld(X,Y))) = ld(ld(Y,X),ld(X,Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[406,495,theory(equality)]),204,theory(equality)]) ).
cnf(626,plain,
ld(ld(X,ld(Y,X)),X) = ld(ld(X,unit),Y),
inference('PARAMODULATE',[status(thm)],[394,527,theory(equality)]) ).
cnf(627,plain,
ld(ld(ld(ld(X,Y),X),X),Y) = X,
inference('PARAMODULATE',[status(thm)],[527,254,theory(equality)]) ).
cnf(646,plain,
ld(ld(X,ld(Y,unit)),ld(Y,ld(ld(X,Y),Y))) = ld(ld(Y,ld(X,Y)),ld(ld(X,Y),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[406,527,theory(equality)]),204,theory(equality)]) ).
cnf(666,plain,
ld(ld(X,unit),Y) = ld(X,ld(X,ld(X,Y))),
inference('PARAMODULATE',[status(thm)],[395,419,theory(equality)]) ).
cnf(668,plain,
ld(ld(X,Y),ld(ld(X,unit),Y)) = ld(X,ld(X,unit)),
inference('PARAMODULATE',[status(thm)],[378,419,theory(equality)]) ).
cnf(671,plain,
ld(ld(X,unit),ld(ld(Y,unit),Z)) = ld(ld(X,ld(ld(Y,unit),Y)),ld(Y,Z)),
inference('PARAMODULATE',[status(thm)],[427,419,theory(equality)]) ).
cnf(673,plain,
ld(ld(X,ld(Y,unit)),ld(ld(Y,unit),X)) = ld(ld(X,Y),ld(Y,X)),
inference('REWRITE',[status(thm)],[616,580,671,theory(equality)]) ).
cnf(684,plain,
ld(ld(ld(X,Y),ld(Y,X)),ld(X,unit)) = ld(ld(X,Y),ld(Y,unit)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[419,256,theory(equality)]),204,theory(equality)]) ).
cnf(685,plain,
ld(ld(b,a),ld(a,unit)) != ld(ld(ld(b,a),b),ld(b,a)),
inference('REWRITE',[status(thm)],[526,684,theory(equality)]) ).
cnf(691,plain,
ld(ld(X,Y),ld(Y,unit)) = ld(ld(X,ld(Y,unit)),Y),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[419,481,theory(equality)]),684,673,204,theory(equality)]) ).
cnf(702,plain,
ld(ld(X,Y),ld(Y,unit)) = ld(ld(ld(Y,X),X),ld(Y,X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[666,256,theory(equality)]),525,204,theory(equality)]) ).
cnf(703,plain,
ld(ld(ld(X,Y),Y),ld(Y,unit)) = ld(Y,ld(X,unit)),
inference('REWRITE',[status(thm)],[601,691,702,theory(equality)]) ).
cnf(834,plain,
ld(ld(X,unit),ld(Y,unit)) = ld(Y,ld(ld(X,Y),Y)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[703,626,theory(equality)]),204,481,theory(equality)]) ).
cnf(835,plain,
ld(X,ld(X,unit)) = ld(ld(Y,ld(X,Y)),ld(ld(X,Y),Y)),
inference('REWRITE',[status(thm)],[646,668,834,theory(equality)]) ).
cnf(883,plain,
ld(ld(ld(X,Y),X),ld(X,Y)) = ld(ld(X,Y),ld(Y,unit)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[495,627,theory(equality)]),834,600,835,204,theory(equality)]) ).
cnf(889,plain,
$false,
inference('REWRITE',[status(thm)],[685,883,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : GRP707-1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n009.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Tue Jun 14 07:44:23 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T07:44:23
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-14T07:44:23
% 0.21/0.50
% 0.21/0.50 ; Recognized right identity assertion (= (|mult| ?X |unit|) ?X).
% 0.81/1.03 ; Recognized left identity assertion (= (|mult| |unit| ?X) ?X).
% 0.81/1.03
% 0.81/1.03 #||
% 0.81/1.03 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.81/1.03 % SZS output start Refutation
% See solution above
% 0.87/1.05 ||#
% 0.87/1.05
% 0.87/1.05 ; Summary of computation:
% 0.87/1.05 ; 3250 formulas have been input or derived (from 85 formulas).
% 0.87/1.05 ; 889 (27%) were retained. Of these,
% 0.87/1.05 ; 497 (56%) were simplified or subsumed later,
% 0.87/1.05 ; 392 (44%) are still being kept.
% 0.87/1.05 ;
% 0.87/1.05 ; Run time in seconds excluding printing time:
% 0.87/1.05 ; 0.002 0% Read assertion file (1 call)
% 0.87/1.05 ; 0.000 0% Assert (10 calls)
% 0.87/1.05 ; 0.100 18% Process new row (3,149 calls)
% 0.87/1.05 ; 0.009 2% Resolution (168 calls)
% 0.87/1.05 ; 0.051 9% Paramodulation (84 calls)
% 0.87/1.05 ; 0.156 29% Forward simplification (2,981 calls)
% 0.87/1.05 ; 0.090 17% Backward simplification (889 calls)
% 0.87/1.05 ; 0.103 19% Ordering (19,942 calls)
% 0.87/1.05 ; 0.001 0% Sortal reasoning (32 calls)
% 0.87/1.05 ; 0.000 0% Purity testing (1 call)
% 0.87/1.05 ; 0.032 6% Other
% 0.87/1.05 ; 0.544 Total
% 0.87/1.05 ; 0.561 Real time
% 0.87/1.05 ;
% 0.87/1.05 ; Term-hash-array has 2,272 terms in all.
% 0.87/1.05 ; Feature-vector-row-index has 0 entries (0 at peak, 0 added, 0 deleted).
% 0.87/1.05 ; Feature-vector-row-index has 1 node (1 at peak, 1 added, 0 deleted).
% 0.87/1.05 ; Path-index has 989 entries (999 at peak, 2,522 added, 1,533 deleted).
% 0.87/1.05 ; Path-index has 1,924 nodes (1,958 at peak, 3,610 added, 1,686 deleted).
% 0.87/1.05 ; Trie-index has 989 entries (999 at peak, 2,522 added, 1,533 deleted).
% 0.87/1.05 ; Trie-index has 4,919 nodes (4,989 at peak, 14,693 added, 9,774 deleted).
% 0.87/1.05 ; Retrieved 66,369 generalization terms in 31,288 calls.
% 0.87/1.05 ; Retrieved 12,761 instance terms in 1,186 calls.
% 0.87/1.05 ; Retrieved 14,365 unifiable terms in 609 calls.
% 0.87/1.05 ;
% 0.87/1.05 ; The agenda of rows to process has 12 entries:
% 0.87/1.05 ; 1 with value 42 5 with value 44 1 with value 47
% 0.87/1.05 ; 3 with value 43 1 with value 46 1 with value 51
% 0.87/1.05 ; The agenda of rows to give has 360 entries:
% 0.87/1.05 ; 1 with value (4 21) 26 with value (4 29) 15 with value (4 37)
% 0.87/1.05 ; 17 with value (4 22) 25 with value (4 30) 6 with value (4 38)
% 0.87/1.05 ; 18 with value (4 23) 12 with value (4 31) 4 with value (4 39)
% 0.87/1.05 ; 31 with value (4 24) 13 with value (4 32) 4 with value (4 40)
% 0.87/1.05 ; 25 with value (4 25) 17 with value (4 33) 2 with value (4 44)
% 0.87/1.05 ; 33 with value (4 26) 15 with value (4 34) 1 with value (4 45)
% 0.87/1.05 ; 42 with value (4 27) 8 with value (4 35) 1 with value (4 48)
% 0.87/1.05 ; 34 with value (4 28) 9 with value (4 36) 1 with value (4 49)
% 0.87/1.05 Evaluation took:
% 0.87/1.05 0.562 seconds of real time
% 0.87/1.05 0.513708 seconds of user run time
% 0.87/1.05 0.048146 seconds of system run time
% 0.87/1.05 [Run times include 0.023 seconds GC run time.]
% 0.87/1.05 0 calls to %EVAL
% 0.87/1.05 0 page faults and
% 0.87/1.05 49,611,848 bytes consed.
% 0.87/1.05 :PROOF-FOUND
% 0.87/1.05 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-14T07:44:23
% 0.87/1.05 :PROOF-FOUND
% 0.87/1.05 *
%------------------------------------------------------------------------------