%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 : 300s
% DateTime : Sun Apr 6 10:09:23 AM UTC 2025
% Result : Theorem 5.81s 6.01s
% Output : Refutation 5.85s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named 'CODE-FOR-$$UMINUS')
% Comments :
%------------------------------------------------------------------------------
tff(1,axiom,
! [X: general] :
( ~ p__is_integer__(X)
| ( X = f__integer__('SKOLEMAAAV1.$int'(X)) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV014_0.ax',p__is_integer__def_ax) ).
tff(2,axiom,
! [X: general,Y: $int] :
( p__is_integer__(X)
| ( X != f__integer__(Y) ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV014_0.ax',p__is_integer__def_ax) ).
tff(6,axiom,
! [X: $int,Y: $int] :
( ( f__integer__(X) != f__integer__(Y) )
| ( X = Y ) ),
file('/export/starexec/sandbox/benchmark/Axioms/SWV014_0.ax',f__integer__def_ax) ).
tff(38,axiom,
! [X: general,Y: general] :
( ~ hq(X,Y)
| tq(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_0_transition_axiom_0) ).
tff(40,axiom,
! [X: general,Y: general,Z: general,U: $int,V: $int,W: general,X1: general,Y1: general] :
( ( X != Y )
| ( Z != f__integer__($sum(U,V)) )
| ( f__integer__(U) != W )
| ( V != 1 )
| ( X1 != Y )
| ( Y1 != W )
| ~ hp(X1,Y1)
| hq(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2_left_0) ).
tff(41,axiom,
! [X: general,Y: general,Z: general,U: $int,V: $int,W: general,X1: general,Y1: general] :
( ( X != Y )
| ( Z != f__integer__($sum(U,V)) )
| ( f__integer__(U) != W )
| ( V != 1 )
| ( X1 != Y )
| ( Y1 != W )
| ~ tp(X1,Y1)
| tq(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_2_left_0) ).
tff(42,negated_conjecture,
'SKOLEMAAAV3.general' = 'SKOLEMAAAV5.general',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(43,negated_conjecture,
'SKOLEMAAAV4.general' = 'SKOLEMAAAV6.general',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(44,negated_conjecture,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV5.general' )
| ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV5.general' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(45,plain,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV3.general' )
| ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV3.general' ) ),
inference('REWRITE',[status(thm)],[44,42,theory(equality)]) ).
tff(46,negated_conjecture,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV5.general' )
| ( 'SKOLEMAAAV12.general' = f__integer__($difference('SKOLEMAAAV13.$int','SKOLEMAAAV14.$int')) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(47,plain,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV3.general' )
| ( 'SKOLEMAAAV12.general' = f__integer__($sum('SKOLEMAAAV13.$int',$product(-1,'SKOLEMAAAV14.$int'))) ) ),
inference('REWRITE',[status(thm)],[46,'CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE',42,theory(equality)]) ).
tff(48,negated_conjecture,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV5.general' )
| ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV6.general' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(49,plain,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV3.general' )
| ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV4.general' ) ),
inference('REWRITE',[status(thm)],[48,43,42,theory(equality)]) ).
tff(50,negated_conjecture,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV5.general' )
| ( 'SKOLEMAAAV14.$int' = 1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(51,plain,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV3.general' )
| ( 'SKOLEMAAAV14.$int' = 1 ) ),
inference('REWRITE',[status(thm)],[50,42,theory(equality)]) ).
tff(52,negated_conjecture,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV5.general' )
| tp('SKOLEMAAAV11.general','SKOLEMAAAV12.general') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(53,plain,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV3.general' )
| tp('SKOLEMAAAV11.general','SKOLEMAAAV12.general') ),
inference('REWRITE',[status(thm)],[52,42,theory(equality)]) ).
tff(54,negated_conjecture,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV5.general' )
| ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(55,plain,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV3.general' )
| ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[54,42,theory(equality)]) ).
tff(56,negated_conjecture,
( ( 'SKOLEMAAAV8.general' = f__integer__($difference('SKOLEMAAAV9.$int','SKOLEMAAAV10.$int')) )
| ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV5.general' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(57,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum('SKOLEMAAAV9.$int',$product(-1,'SKOLEMAAAV10.$int'))) )
| ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV3.general' ) ),
inference('REWRITE',[status(thm)],[56,42,'CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE',theory(equality)]) ).
tff(58,negated_conjecture,
( ( 'SKOLEMAAAV8.general' = f__integer__($difference('SKOLEMAAAV9.$int','SKOLEMAAAV10.$int')) )
| ( 'SKOLEMAAAV12.general' = f__integer__($difference('SKOLEMAAAV13.$int','SKOLEMAAAV14.$int')) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(59,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum('SKOLEMAAAV9.$int',$product(-1,'SKOLEMAAAV10.$int'))) )
| ( 'SKOLEMAAAV12.general' = f__integer__($sum('SKOLEMAAAV13.$int',$product(-1,'SKOLEMAAAV14.$int'))) ) ),
inference('REWRITE',[status(thm)],[58,'CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(60,negated_conjecture,
( ( 'SKOLEMAAAV8.general' = f__integer__($difference('SKOLEMAAAV9.$int','SKOLEMAAAV10.$int')) )
| ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV6.general' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(61,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum('SKOLEMAAAV9.$int',$product(-1,'SKOLEMAAAV10.$int'))) )
| ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV4.general' ) ),
inference('REWRITE',[status(thm)],[60,43,'CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE',theory(equality)]) ).
tff(62,negated_conjecture,
( ( 'SKOLEMAAAV8.general' = f__integer__($difference('SKOLEMAAAV9.$int','SKOLEMAAAV10.$int')) )
| ( 'SKOLEMAAAV14.$int' = 1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(63,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum('SKOLEMAAAV9.$int',$product(-1,'SKOLEMAAAV10.$int'))) )
| ( 'SKOLEMAAAV14.$int' = 1 ) ),
inference('REWRITE',[status(thm)],[62,'CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(64,negated_conjecture,
( ( 'SKOLEMAAAV8.general' = f__integer__($difference('SKOLEMAAAV9.$int','SKOLEMAAAV10.$int')) )
| tp('SKOLEMAAAV11.general','SKOLEMAAAV12.general') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(65,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum('SKOLEMAAAV9.$int',$product(-1,'SKOLEMAAAV10.$int'))) )
| tp('SKOLEMAAAV11.general','SKOLEMAAAV12.general') ),
inference('REWRITE',[status(thm)],[64,'CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(66,negated_conjecture,
( ( 'SKOLEMAAAV8.general' = f__integer__($difference('SKOLEMAAAV9.$int','SKOLEMAAAV10.$int')) )
| ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(67,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum('SKOLEMAAAV9.$int',$product(-1,'SKOLEMAAAV10.$int'))) )
| ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[66,'CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(68,negated_conjecture,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV6.general' )
| ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV5.general' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(69,plain,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV4.general' )
| ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV3.general' ) ),
inference('REWRITE',[status(thm)],[68,42,43,theory(equality)]) ).
tff(70,negated_conjecture,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV6.general' )
| ( 'SKOLEMAAAV12.general' = f__integer__($difference('SKOLEMAAAV13.$int','SKOLEMAAAV14.$int')) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(71,plain,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV4.general' )
| ( 'SKOLEMAAAV12.general' = f__integer__($sum('SKOLEMAAAV13.$int',$product(-1,'SKOLEMAAAV14.$int'))) ) ),
inference('REWRITE',[status(thm)],[70,'CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE',43,theory(equality)]) ).
tff(72,negated_conjecture,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV6.general' )
| ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV6.general' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(73,plain,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV4.general' )
| ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV4.general' ) ),
inference('REWRITE',[status(thm)],[72,43,theory(equality)]) ).
tff(74,negated_conjecture,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV6.general' )
| ( 'SKOLEMAAAV14.$int' = 1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(75,plain,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV4.general' )
| ( 'SKOLEMAAAV14.$int' = 1 ) ),
inference('REWRITE',[status(thm)],[74,43,theory(equality)]) ).
tff(76,negated_conjecture,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV6.general' )
| tp('SKOLEMAAAV11.general','SKOLEMAAAV12.general') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(77,plain,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV4.general' )
| tp('SKOLEMAAAV11.general','SKOLEMAAAV12.general') ),
inference('REWRITE',[status(thm)],[76,43,theory(equality)]) ).
tff(78,negated_conjecture,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV6.general' )
| ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(79,plain,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV4.general' )
| ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[78,43,theory(equality)]) ).
tff(80,negated_conjecture,
( ( 'SKOLEMAAAV10.$int' = 1 )
| ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV5.general' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(81,plain,
( ( 'SKOLEMAAAV10.$int' = 1 )
| ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV3.general' ) ),
inference('REWRITE',[status(thm)],[80,42,theory(equality)]) ).
tff(82,negated_conjecture,
( ( 'SKOLEMAAAV10.$int' = 1 )
| ( 'SKOLEMAAAV12.general' = f__integer__($difference('SKOLEMAAAV13.$int','SKOLEMAAAV14.$int')) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(83,plain,
( ( 'SKOLEMAAAV10.$int' = 1 )
| ( 'SKOLEMAAAV12.general' = f__integer__($sum('SKOLEMAAAV13.$int',$product(-1,'SKOLEMAAAV14.$int'))) ) ),
inference('REWRITE',[status(thm)],[82,'CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(84,negated_conjecture,
( ( 'SKOLEMAAAV10.$int' = 1 )
| ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV6.general' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(85,plain,
( ( 'SKOLEMAAAV10.$int' = 1 )
| ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV4.general' ) ),
inference('REWRITE',[status(thm)],[84,43,theory(equality)]) ).
tff(86,negated_conjecture,
( ( 'SKOLEMAAAV10.$int' = 1 )
| ( 'SKOLEMAAAV14.$int' = 1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(87,negated_conjecture,
( ( 'SKOLEMAAAV10.$int' = 1 )
| tp('SKOLEMAAAV11.general','SKOLEMAAAV12.general') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(88,negated_conjecture,
( ( 'SKOLEMAAAV10.$int' = 1 )
| ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(89,negated_conjecture,
( hp('SKOLEMAAAV7.general','SKOLEMAAAV8.general')
| ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV5.general' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(90,plain,
( hp('SKOLEMAAAV7.general','SKOLEMAAAV8.general')
| ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV3.general' ) ),
inference('REWRITE',[status(thm)],[89,42,theory(equality)]) ).
tff(91,negated_conjecture,
( hp('SKOLEMAAAV7.general','SKOLEMAAAV8.general')
| ( 'SKOLEMAAAV12.general' = f__integer__($difference('SKOLEMAAAV13.$int','SKOLEMAAAV14.$int')) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(92,plain,
( hp('SKOLEMAAAV7.general','SKOLEMAAAV8.general')
| ( 'SKOLEMAAAV12.general' = f__integer__($sum('SKOLEMAAAV13.$int',$product(-1,'SKOLEMAAAV14.$int'))) ) ),
inference('REWRITE',[status(thm)],[91,'CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(93,negated_conjecture,
( hp('SKOLEMAAAV7.general','SKOLEMAAAV8.general')
| ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV6.general' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(94,plain,
( hp('SKOLEMAAAV7.general','SKOLEMAAAV8.general')
| ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV4.general' ) ),
inference('REWRITE',[status(thm)],[93,43,theory(equality)]) ).
tff(95,negated_conjecture,
( hp('SKOLEMAAAV7.general','SKOLEMAAAV8.general')
| ( 'SKOLEMAAAV14.$int' = 1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(96,negated_conjecture,
( hp('SKOLEMAAAV7.general','SKOLEMAAAV8.general')
| tp('SKOLEMAAAV11.general','SKOLEMAAAV12.general') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(97,negated_conjecture,
( hp('SKOLEMAAAV7.general','SKOLEMAAAV8.general')
| ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(98,negated_conjecture,
( ~ hq('SKOLEMAAAV3.general','SKOLEMAAAV4.general')
| ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV5.general' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(99,plain,
( ~ hq('SKOLEMAAAV3.general','SKOLEMAAAV4.general')
| ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV3.general' ) ),
inference('REWRITE',[status(thm)],[98,42,theory(equality)]) ).
tff(100,negated_conjecture,
( ~ hq('SKOLEMAAAV3.general','SKOLEMAAAV4.general')
| ( 'SKOLEMAAAV12.general' = f__integer__($difference('SKOLEMAAAV13.$int','SKOLEMAAAV14.$int')) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(101,plain,
( ~ hq('SKOLEMAAAV3.general','SKOLEMAAAV4.general')
| ( 'SKOLEMAAAV12.general' = f__integer__($sum('SKOLEMAAAV13.$int',$product(-1,'SKOLEMAAAV14.$int'))) ) ),
inference('REWRITE',[status(thm)],[100,'CODE-FOR-$$UMINUS','CODE-FOR-$$DIFFERENCE']) ).
tff(102,negated_conjecture,
( ~ hq('SKOLEMAAAV3.general','SKOLEMAAAV4.general')
| ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV6.general' ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(103,plain,
( ~ hq('SKOLEMAAAV3.general','SKOLEMAAAV4.general')
| ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV4.general' ) ),
inference('REWRITE',[status(thm)],[102,43,theory(equality)]) ).
tff(104,negated_conjecture,
( ~ hq('SKOLEMAAAV3.general','SKOLEMAAAV4.general')
| ( 'SKOLEMAAAV14.$int' = 1 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(106,negated_conjecture,
( ~ hq('SKOLEMAAAV3.general','SKOLEMAAAV4.general')
| ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',formula_3_right_0) ).
tff(119,plain,
( ( 'SKOLEMAAAV10.$int' = 1 )
| ~ tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('PARAMODULATE',[status(thm)],[88,81,theory(equality)]) ).
tff(124,plain,
! [X: $int] : p__is_integer__(f__integer__(X)),
inference('HYPERRESOLVE',[status(thm)],[2,theory(equality)]) ).
tff(221,plain,
( ( 'SKOLEMAAAV14.$int' = 1 )
| hq('SKOLEMAAAV7.general',f__integer__($sum(1,$sum('SKOLEMAAAV9.$int',$product(-1,'SKOLEMAAAV10.$int'))))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[40,63,95,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]),'CODE-FOR-$$SUM']) ).
tff(222,plain,
( ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV3.general' )
| hq('SKOLEMAAAV7.general',f__integer__($sum(1,$sum('SKOLEMAAAV9.$int',$product(-1,'SKOLEMAAAV10.$int'))))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[40,57,90,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]),'CODE-FOR-$$SUM']) ).
tff(225,plain,
( ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV4.general' )
| hq('SKOLEMAAAV7.general',f__integer__($sum(1,$sum('SKOLEMAAAV9.$int',$product(-1,'SKOLEMAAAV10.$int'))))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[40,61,94,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]),'CODE-FOR-$$SUM']) ).
tff(253,plain,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV3.general' )
| tq('SKOLEMAAAV11.general',f__integer__($sum(1,$sum('SKOLEMAAAV13.$int',$product(-1,'SKOLEMAAAV14.$int'))))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[41,47,53,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]),'CODE-FOR-$$SUM']) ).
tff(255,plain,
( ( 'SKOLEMAAAV10.$int' = 1 )
| tq('SKOLEMAAAV11.general',f__integer__('SKOLEMAAAV13.$int')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[41,86,83,87,theory(equality),theory(equality),theory(equality),theory(equality)]),'CODE-FOR-$$SUM']) ).
tff(257,plain,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV4.general' )
| tq('SKOLEMAAAV11.general',f__integer__($sum(1,$sum('SKOLEMAAAV13.$int',$product(-1,'SKOLEMAAAV14.$int'))))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[41,71,77,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]),'CODE-FOR-$$SUM']) ).
tff(258,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum('SKOLEMAAAV9.$int',$product(-1,'SKOLEMAAAV10.$int'))) )
| tq('SKOLEMAAAV11.general',f__integer__($sum(1,$sum('SKOLEMAAAV13.$int',$product(-1,'SKOLEMAAAV14.$int'))))) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[41,59,65,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]),'CODE-FOR-$$SUM']) ).
tff(285,plain,
! [X: $int] : ( f__integer__(X) = f__integer__('SKOLEMAAAV1.$int'(f__integer__(X))) ),
inference('HYPERRESOLVE',[status(thm)],[1,124]) ).
tff(675,plain,
( ( 'SKOLEMAAAV10.$int' = 1 )
| tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('PARAMODULATE',[status(thm)],[255,85,theory(equality)]) ).
tff(676,plain,
'SKOLEMAAAV10.$int' = 1,
inference('HYPERRESOLVE',[status(thm)],[119,675]) ).
tff(678,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum(-1,'SKOLEMAAAV9.$int')) )
| ( 'SKOLEMAAAV12.general' = f__integer__($sum('SKOLEMAAAV13.$int',$product(-1,'SKOLEMAAAV14.$int'))) ) ),
inference('REWRITE',[status(thm)],[59,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT',676,theory(equality)]) ).
tff(682,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum(-1,'SKOLEMAAAV9.$int')) )
| ~ tq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[67,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT',676,theory(equality)]) ).
tff(699,plain,
( ( 'SKOLEMAAAV14.$int' = 1 )
| hq('SKOLEMAAAV7.general',f__integer__('SKOLEMAAAV9.$int')) ),
inference('REWRITE',[status(thm)],[221,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT',676,theory(equality)]) ).
tff(700,plain,
( ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV3.general' )
| hq('SKOLEMAAAV7.general',f__integer__('SKOLEMAAAV9.$int')) ),
inference('REWRITE',[status(thm)],[222,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT',676,theory(equality)]) ).
tff(703,plain,
( ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV4.general' )
| hq('SKOLEMAAAV7.general',f__integer__('SKOLEMAAAV9.$int')) ),
inference('REWRITE',[status(thm)],[225,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT',676,theory(equality)]) ).
tff(713,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum(-1,'SKOLEMAAAV9.$int')) )
| tq('SKOLEMAAAV11.general',f__integer__($sum(1,$sum('SKOLEMAAAV13.$int',$product(-1,'SKOLEMAAAV14.$int'))))) ),
inference('REWRITE',[status(thm)],[258,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT',676,theory(equality)]) ).
tff(781,plain,
( ( 'SKOLEMAAAV14.$int' = 1 )
| hq('SKOLEMAAAV7.general','SKOLEMAAAV4.general') ),
inference('PARAMODULATE',[status(thm)],[699,75,theory(equality)]) ).
tff(783,plain,
( ( 'SKOLEMAAAV14.$int' = 1 )
| hq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
inference('PARAMODULATE',[status(thm)],[781,51,theory(equality)]) ).
tff(784,plain,
( ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV3.general' )
| hq('SKOLEMAAAV7.general','SKOLEMAAAV4.general') ),
inference('PARAMODULATE',[status(thm)],[700,69,theory(equality)]) ).
tff(786,plain,
( ( 'SKOLEMAAAV11.general' = 'SKOLEMAAAV3.general' )
| hq('SKOLEMAAAV3.general','SKOLEMAAAV4.general') ),
inference('PARAMODULATE',[status(thm)],[784,45,theory(equality)]) ).
tff(788,plain,
'SKOLEMAAAV14.$int' = 1,
inference('HYPERRESOLVE',[status(thm)],[104,783]) ).
tff(791,plain,
( hp('SKOLEMAAAV7.general','SKOLEMAAAV8.general')
| ( 'SKOLEMAAAV12.general' = f__integer__($sum(-1,'SKOLEMAAAV13.$int')) ) ),
inference('REWRITE',[status(thm)],[92,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT',788,theory(equality)]) ).
tff(792,plain,
( ~ hq('SKOLEMAAAV3.general','SKOLEMAAAV4.general')
| ( 'SKOLEMAAAV12.general' = f__integer__($sum(-1,'SKOLEMAAAV13.$int')) ) ),
inference('REWRITE',[status(thm)],[101,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT',788,theory(equality)]) ).
tff(804,plain,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV3.general' )
| tq('SKOLEMAAAV11.general',f__integer__('SKOLEMAAAV13.$int')) ),
inference('REWRITE',[status(thm)],[253,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT',788,theory(equality)]) ).
tff(805,plain,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV4.general' )
| tq('SKOLEMAAAV11.general',f__integer__('SKOLEMAAAV13.$int')) ),
inference('REWRITE',[status(thm)],[257,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT',788,theory(equality)]) ).
tff(810,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum(-1,'SKOLEMAAAV9.$int')) )
| ( 'SKOLEMAAAV12.general' = f__integer__($sum(-1,'SKOLEMAAAV13.$int')) ) ),
inference('REWRITE',[status(thm)],[678,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT',788,theory(equality)]) ).
tff(816,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum(-1,'SKOLEMAAAV9.$int')) )
| tq('SKOLEMAAAV11.general',f__integer__('SKOLEMAAAV13.$int')) ),
inference('REWRITE',[status(thm)],[713,'CODE-FOR-$$SUM','CODE-FOR-$$PRODUCT',788,theory(equality)]) ).
tff(846,plain,
( ( 'SKOLEMAAAV12.general' = f__integer__($sum(-1,'SKOLEMAAAV13.$int')) )
| hq('SKOLEMAAAV7.general',f__integer__('SKOLEMAAAV9.$int')) ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[40,810,791,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]),'CODE-FOR-$$SUM']) ).
tff(855,plain,
'SKOLEMAAAV11.general' = 'SKOLEMAAAV3.general',
inference('HYPERRESOLVE',[status(thm)],[99,786]) ).
tff(857,plain,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV11.general' )
| ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV4.general' ) ),
inference('REWRITE',[status(thm)],[49,855,theory(equality)]) ).
tff(859,plain,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV11.general' )
| ~ tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[55,855,theory(equality)]) ).
tff(860,plain,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV4.general' )
| ~ tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[79,855,theory(equality)]) ).
tff(861,plain,
( hp('SKOLEMAAAV7.general','SKOLEMAAAV8.general')
| ~ tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[97,855,theory(equality)]) ).
tff(862,plain,
( ~ hq('SKOLEMAAAV11.general','SKOLEMAAAV4.general')
| ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV4.general' ) ),
inference('REWRITE',[status(thm)],[103,855,theory(equality)]) ).
tff(864,plain,
( ~ hq('SKOLEMAAAV11.general','SKOLEMAAAV4.general')
| ~ tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[106,855,theory(equality)]) ).
tff(932,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum(-1,'SKOLEMAAAV9.$int')) )
| ~ tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[682,855,theory(equality)]) ).
tff(944,plain,
( ~ hq('SKOLEMAAAV11.general','SKOLEMAAAV4.general')
| ( 'SKOLEMAAAV12.general' = f__integer__($sum(-1,'SKOLEMAAAV13.$int')) ) ),
inference('REWRITE',[status(thm)],[792,855,theory(equality)]) ).
tff(950,plain,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV11.general' )
| tq('SKOLEMAAAV11.general',f__integer__('SKOLEMAAAV13.$int')) ),
inference('REWRITE',[status(thm)],[804,855,theory(equality)]) ).
tff(953,plain,
( ( 'SKOLEMAAAV7.general' = 'SKOLEMAAAV11.general' )
| tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('PARAMODULATE',[status(thm)],[950,857,theory(equality)]) ).
tff(954,plain,
'SKOLEMAAAV7.general' = 'SKOLEMAAAV11.general',
inference('HYPERRESOLVE',[status(thm)],[859,953]) ).
tff(956,plain,
( hp('SKOLEMAAAV11.general','SKOLEMAAAV8.general')
| tp('SKOLEMAAAV11.general','SKOLEMAAAV12.general') ),
inference('REWRITE',[status(thm)],[96,954,theory(equality)]) ).
tff(958,plain,
( ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV4.general' )
| hq('SKOLEMAAAV11.general',f__integer__('SKOLEMAAAV9.$int')) ),
inference('REWRITE',[status(thm)],[703,954,theory(equality)]) ).
tff(962,plain,
( ( 'SKOLEMAAAV12.general' = f__integer__($sum(-1,'SKOLEMAAAV13.$int')) )
| hq('SKOLEMAAAV11.general',f__integer__('SKOLEMAAAV9.$int')) ),
inference('REWRITE',[status(thm)],[846,954,theory(equality)]) ).
tff(963,plain,
( hp('SKOLEMAAAV11.general','SKOLEMAAAV8.general')
| ~ tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[861,954,theory(equality)]) ).
tff(1162,plain,
! [X: $int] : ( X = 'SKOLEMAAAV1.$int'(f__integer__(X)) ),
inference('HYPERRESOLVE',[status(thm)],[6,285]) ).
tff(1262,plain,
( ( f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV4.general' )
| hq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('PARAMODULATE',[status(thm)],[958,73,theory(equality)]) ).
tff(1263,plain,
f__integer__('SKOLEMAAAV13.$int') = 'SKOLEMAAAV4.general',
inference('HYPERRESOLVE',[status(thm)],[862,1262]) ).
tff(1264,plain,
( ( f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV4.general' )
| tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[805,1263,theory(equality)]) ).
tff(1265,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum(-1,'SKOLEMAAAV9.$int')) )
| tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[816,1263,theory(equality)]) ).
tff(1287,plain,
'SKOLEMAAAV13.$int' = 'SKOLEMAAAV1.$int'('SKOLEMAAAV4.general'),
inference('PARAMODULATE',[status(thm)],[1162,1263,theory(equality)]) ).
tff(1331,plain,
f__integer__('SKOLEMAAAV9.$int') = 'SKOLEMAAAV4.general',
inference('HYPERRESOLVE',[status(thm)],[860,1264]) ).
tff(1332,plain,
( ( 'SKOLEMAAAV12.general' = f__integer__($sum(-1,'SKOLEMAAAV13.$int')) )
| hq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[962,1331,theory(equality)]) ).
tff(1333,plain,
'SKOLEMAAAV9.$int' = 'SKOLEMAAAV13.$int',
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[1162,1331,theory(equality)]),1287,theory(equality)]) ).
tff(1377,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum(-1,'SKOLEMAAAV13.$int')) )
| ~ tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[932,1333,theory(equality)]) ).
tff(1386,plain,
( ( 'SKOLEMAAAV8.general' = f__integer__($sum(-1,'SKOLEMAAAV13.$int')) )
| tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[1265,1333,theory(equality)]) ).
tff(1711,plain,
'SKOLEMAAAV12.general' = f__integer__($sum(-1,'SKOLEMAAAV13.$int')),
inference('HYPERRESOLVE',[status(thm)],[944,1332]) ).
tff(1747,plain,
( ( 'SKOLEMAAAV8.general' = 'SKOLEMAAAV12.general' )
| ~ tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[1377,1711,theory(equality)]) ).
tff(1749,plain,
( ( 'SKOLEMAAAV8.general' = 'SKOLEMAAAV12.general' )
| tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[1386,1711,theory(equality)]) ).
tff(1750,plain,
'SKOLEMAAAV8.general' = 'SKOLEMAAAV12.general',
inference('HYPERRESOLVE',[status(thm)],[1747,1749]) ).
tff(1751,plain,
( hp('SKOLEMAAAV11.general','SKOLEMAAAV12.general')
| tp('SKOLEMAAAV11.general','SKOLEMAAAV12.general') ),
inference('REWRITE',[status(thm)],[956,1750,theory(equality)]) ).
tff(1752,plain,
( hp('SKOLEMAAAV11.general','SKOLEMAAAV12.general')
| ~ tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[963,1750,theory(equality)]) ).
tff(1806,plain,
( hp('SKOLEMAAAV11.general','SKOLEMAAAV12.general')
| tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[41,1711,1751,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]),1263,'CODE-FOR-$$SUM',theory(equality)]) ).
tff(1890,plain,
hp('SKOLEMAAAV11.general','SKOLEMAAAV12.general'),
inference('HYPERRESOLVE',[status(thm)],[1752,1806]) ).
tff(1892,plain,
hq('SKOLEMAAAV11.general','SKOLEMAAAV4.general'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[40,1890,1711,theory(equality),theory(equality),theory(equality),theory(equality),theory(equality)]),1263,'CODE-FOR-$$SUM',theory(equality)]) ).
tff(1893,plain,
~ tq('SKOLEMAAAV11.general','SKOLEMAAAV4.general'),
inference('REWRITE',[status(thm)],[864,1892]) ).
cnf(1894,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[38,1893]),1892]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SWX000_1 : TPTP v9.1.0. Released v9.1.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n016.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 : 300
% 0.13/0.35 % DateTime : Sun Apr 6 03:03:23 EDT 2025
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2025-04-06T03:03:23
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2025-04-06T03:03:23
% 5.81/6.01
% 5.81/6.01
% 5.81/6.01 #||
% 5.81/6.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 5.81/6.01 % SZS output start Refutation
% See solution above
% 5.85/6.02 ||#
% 5.85/6.02
% 5.85/6.02 ; Summary of computation:
% 5.85/6.02 ; 20364 formulas have been input or derived (from 462 formulas).
% 5.85/6.02 ; 1894 ( 9%) were retained. Of these,
% 5.85/6.02 ; 1032 (54%) were simplified or subsumed later,
% 5.85/6.02 ; 862 (46%) are still being kept.
% 5.85/6.02 ;
% 5.85/6.02 ; Run time in seconds excluding printing time:
% 5.85/6.02 ; 0.009 0% Read assertion file (1 call)
% 5.85/6.02 ; 0.003 0% Assert (19 calls)
% 5.85/6.02 ; 0.132 2% Process new row (16,039 calls)
% 5.85/6.02 ; 4.095 74% Resolution (922 calls)
% 5.85/6.02 ; 0.021 0% Paramodulation (461 calls)
% 5.85/6.03 ; 0.001 0% Factoring (232 calls)
% 5.85/6.03 ; 0.054 1% Condensing (9,775 calls)
% 5.85/6.03 ; 0.393 7% Forward subsumption (9,775 calls)
% 5.85/6.03 ; 0.019 0% Backward subsumption (1,730 calls)
% 5.85/6.03 ; 0.068 1% Clause clause subsumption (17,724 calls)
% 5.85/6.03 ; 0.236 4% Forward simplification (13,600 calls)
% 5.85/6.03 ; 0.044 1% Backward simplification (1,867 calls)
% 5.85/6.03 ; 0.014 0% Ordering (12,356 calls)
% 5.85/6.03 ; 0.004 0% Ordering ac (190 calls)
% 5.85/6.03 ; 0.348 6% Sortal reasoning (483,118 calls)
% 5.85/6.03 ; 0.000 0% Purity testing (1 call)
% 5.85/6.03 ; 0.081 1% Other
% 5.85/6.03 ; 5.522 Total
% 5.85/6.03 ; 5.538 Real time
% 5.85/6.03 ;
% 5.85/6.03 ; Term-hash-array has 660 terms in all.
% 5.85/6.03 ; Feature-vector-row-index has 729 entries (734 at peak, 1,730 added, 1,001 deleted).
% 5.85/6.03 ; Feature-vector-row-index has 1,075 nodes (3,021 at peak, 7,017 added, 5,942 deleted).
% 5.85/6.03 ; Retrieved 39,972 possibly forward subsuming rows in 9,775 calls.
% 5.85/6.03 ; Retrieved 709 possibly backward subsumed rows in 1,730 calls.
% 5.85/6.03 ; Path-index has 527 entries (549 at peak, 994 added, 467 deleted).
% 5.85/6.03 ; Path-index has 278 nodes (340 at peak, 513 added, 235 deleted).
% 5.85/6.03 ; Trie-index has 527 entries (549 at peak, 994 added, 467 deleted).
% 5.85/6.03 ; Trie-index has 450 nodes (510 at peak, 952 added, 502 deleted).
% 5.85/6.03 ; Retrieved 16,471 generalization terms in 45,910 calls.
% 5.85/6.03 ; Retrieved 148 instance terms in 136 calls.
% 5.85/6.03 ; Retrieved 5,091,826 unifiable terms in 791,206 calls.
% 5.85/6.03 ;
% 5.85/6.03 ; The agenda of rows to give has 632 entries:
% 5.85/6.03 ; 2 with value (4 9) 56 with value (4 18) 18 with value (4 24)
% 5.85/6.03 ; 9 with value (4 12) 55 with value (4 19) 20 with value (4 25)
% 5.85/6.03 ; 3 with value (4 13) 36 with value (4 20) 1 with value (4 26)
% 5.85/6.03 ; 9 with value (4 14) 131 with value (4 21) 2 with value (4 37)
% 5.85/6.03 ; 11 with value (4 15) 75 with value (4 22) 2 with value (4 41)
% 5.85/6.03 ; 44 with value (4 16) 90 with value (4 23) 2 with value (4 42)
% 5.85/6.03 ; 66 with value (4 17)
% 5.85/6.03 Evaluation took:
% 5.85/6.03 5.538 seconds of real time
% 5.85/6.03 4.913337 seconds of user run time
% 5.85/6.03 0.623306 seconds of system run time
% 5.85/6.03 [Run times include 0.114 seconds GC run time.]
% 5.85/6.03 0 calls to %EVAL
% 5.85/6.03 0 page faults and
% 5.85/6.03 376,466,496 bytes consed.
% 5.85/6.03 :PROOF-FOUND
% 5.85/6.03 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2025-04-06T03:03:29
% 5.85/6.03 :PROOF-FOUND
% 5.85/6.03 *
%------------------------------------------------------------------------------