%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE028+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sun Jul 17 02:26:17 EDT 2022
% Result : Theorem 3.25s 3.41s
% Output : Refutation 3.25s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 14
% Syntax : Number of clauses : 66 ( 57 unt; 0 nHn; 57 RR)
% Number of literals : 80 ( 53 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% Number of variables : 30 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
multiplication(X,multiplication(Y,Z)) = multiplication(multiplication(X,Y),Z),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_associativity) ).
cnf(7,axiom,
multiplication(X,addition(Y,Z)) = addition(multiplication(X,Y),multiplication(X,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
cnf(13,axiom,
( ~ test(X)
| complement('SKOLEMAAAV1'(X),X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
cnf(14,axiom,
( test(X)
| ~ complement(Y,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_1) ).
cnf(15,axiom,
( ~ complement(X,Y)
| multiplication(Y,X) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(16,axiom,
( ~ complement(X,Y)
| multiplication(X,Y) = zero ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(17,axiom,
( ~ complement(X,Y)
| addition(X,Y) = one ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(18,axiom,
( complement(X,Y)
| multiplication(Y,X) != zero
| multiplication(X,Y) != zero
| addition(X,Y) != one ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(19,axiom,
( ~ test(X)
| c(X) != Y
| complement(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
cnf(20,axiom,
( ~ test(X)
| c(X) = Y
| ~ complement(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
cnf(22,axiom,
( ~ test(X)
| ~ test(Y)
| c(addition(X,Y)) = multiplication(c(X),c(Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+2.ax',test_deMorgan1) ).
cnf(24,negated_conjecture,
test('SKOLEMAAAV6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(25,negated_conjecture,
test('SKOLEMAAAV7'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(26,negated_conjecture,
addition(multiplication('SKOLEMAAAV6',addition(multiplication('SKOLEMAAAV7','SKOLEMAAAV2'),multiplication(c('SKOLEMAAAV7'),'SKOLEMAAAV3'))),multiplication(c('SKOLEMAAAV6'),addition(multiplication('SKOLEMAAAV7','SKOLEMAAAV4'),multiplication(c('SKOLEMAAAV7'),'SKOLEMAAAV5')))) != addition(multiplication('SKOLEMAAAV7',addition(multiplication('SKOLEMAAAV6','SKOLEMAAAV2'),multiplication(c('SKOLEMAAAV6'),'SKOLEMAAAV4'))),multiplication(c('SKOLEMAAAV7'),addition(multiplication('SKOLEMAAAV6','SKOLEMAAAV3'),multiplication(c('SKOLEMAAAV6'),'SKOLEMAAAV5')))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(27,plain,
addition(multiplication('SKOLEMAAAV6',multiplication('SKOLEMAAAV7','SKOLEMAAAV2')),addition(multiplication('SKOLEMAAAV6',multiplication(c('SKOLEMAAAV7'),'SKOLEMAAAV3')),addition(multiplication(c('SKOLEMAAAV6'),multiplication('SKOLEMAAAV7','SKOLEMAAAV4')),multiplication(c('SKOLEMAAAV6'),multiplication(c('SKOLEMAAAV7'),'SKOLEMAAAV5'))))) != addition(multiplication('SKOLEMAAAV7',multiplication('SKOLEMAAAV6','SKOLEMAAAV2')),addition(multiplication('SKOLEMAAAV7',multiplication(c('SKOLEMAAAV6'),'SKOLEMAAAV4')),addition(multiplication(c('SKOLEMAAAV7'),multiplication('SKOLEMAAAV6','SKOLEMAAAV3')),multiplication(c('SKOLEMAAAV7'),multiplication(c('SKOLEMAAAV6'),'SKOLEMAAAV5'))))),
inference('REWRITE',[status(thm)],[26,7,theory(equality)]) ).
cnf(28,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV7'),'SKOLEMAAAV7'),
inference('HYPERRESOLVE',[status(thm)],[13,25]) ).
cnf(29,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV6'),'SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[13,24]) ).
cnf(37,plain,
complement('SKOLEMAAAV7',c('SKOLEMAAAV7')),
inference('HYPERRESOLVE',[status(thm)],[19,25,theory(equality)]) ).
cnf(38,plain,
complement('SKOLEMAAAV6',c('SKOLEMAAAV6')),
inference('HYPERRESOLVE',[status(thm)],[19,24,theory(equality)]) ).
cnf(52,plain,
c(addition('SKOLEMAAAV7','SKOLEMAAAV6')) = multiplication(c('SKOLEMAAAV7'),c('SKOLEMAAAV6')),
inference('HYPERRESOLVE',[status(thm)],[22,25,24]) ).
cnf(53,plain,
c(addition('SKOLEMAAAV7','SKOLEMAAAV6')) = multiplication(c('SKOLEMAAAV6'),c('SKOLEMAAAV7')),
inference('HYPERRESOLVE',[status(thm)],[22,24,25]) ).
cnf(91,plain,
addition(multiplication('SKOLEMAAAV6',multiplication('SKOLEMAAAV7','SKOLEMAAAV2')),addition(multiplication('SKOLEMAAAV6',multiplication(c('SKOLEMAAAV7'),'SKOLEMAAAV3')),addition(multiplication(c('SKOLEMAAAV6'),multiplication('SKOLEMAAAV7','SKOLEMAAAV4')),multiplication(c(addition('SKOLEMAAAV7','SKOLEMAAAV6')),'SKOLEMAAAV5')))) != addition(multiplication('SKOLEMAAAV7',multiplication('SKOLEMAAAV6','SKOLEMAAAV2')),addition(multiplication('SKOLEMAAAV7',multiplication(c('SKOLEMAAAV6'),'SKOLEMAAAV4')),addition(multiplication(c('SKOLEMAAAV7'),multiplication('SKOLEMAAAV6','SKOLEMAAAV3')),multiplication(c('SKOLEMAAAV7'),multiplication(c('SKOLEMAAAV6'),'SKOLEMAAAV5'))))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[27,4,theory(equality)]),53,theory(equality)]) ).
cnf(108,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV7'),'SKOLEMAAAV7') = one,
inference('HYPERRESOLVE',[status(thm)],[17,28]) ).
cnf(110,plain,
multiplication('SKOLEMAAAV1'('SKOLEMAAAV7'),'SKOLEMAAAV7') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,28]) ).
cnf(111,plain,
multiplication('SKOLEMAAAV7','SKOLEMAAAV1'('SKOLEMAAAV7')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,28]) ).
cnf(113,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV6'),'SKOLEMAAAV6') = one,
inference('HYPERRESOLVE',[status(thm)],[17,29]) ).
cnf(115,plain,
multiplication('SKOLEMAAAV1'('SKOLEMAAAV6'),'SKOLEMAAAV6') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,29]) ).
cnf(116,plain,
multiplication('SKOLEMAAAV6','SKOLEMAAAV1'('SKOLEMAAAV6')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,29]) ).
cnf(118,plain,
test(c('SKOLEMAAAV7')),
inference('HYPERRESOLVE',[status(thm)],[14,37]) ).
cnf(123,plain,
test(c('SKOLEMAAAV6')),
inference('HYPERRESOLVE',[status(thm)],[14,38]) ).
cnf(136,plain,
c(addition(c('SKOLEMAAAV7'),'SKOLEMAAAV6')) = multiplication(c(c('SKOLEMAAAV7')),c('SKOLEMAAAV6')),
inference('HYPERRESOLVE',[status(thm)],[22,118,24]) ).
cnf(139,plain,
c(addition(c('SKOLEMAAAV7'),'SKOLEMAAAV6')) = multiplication(c('SKOLEMAAAV6'),c(c('SKOLEMAAAV7'))),
inference('HYPERRESOLVE',[status(thm)],[22,118,24]) ).
cnf(152,plain,
c(addition(c('SKOLEMAAAV6'),'SKOLEMAAAV7')) = multiplication(c(c('SKOLEMAAAV6')),c('SKOLEMAAAV7')),
inference('HYPERRESOLVE',[status(thm)],[22,123,25]) ).
cnf(155,plain,
c(addition(c('SKOLEMAAAV6'),'SKOLEMAAAV7')) = multiplication(c('SKOLEMAAAV7'),c(c('SKOLEMAAAV6'))),
inference('HYPERRESOLVE',[status(thm)],[22,123,25]) ).
cnf(159,plain,
c(addition(c('SKOLEMAAAV7'),c('SKOLEMAAAV6'))) = multiplication(c(c('SKOLEMAAAV6')),c(c('SKOLEMAAAV7'))),
inference('HYPERRESOLVE',[status(thm)],[22,123,118]) ).
cnf(161,plain,
c(addition(c('SKOLEMAAAV7'),c('SKOLEMAAAV6'))) = multiplication(c(c('SKOLEMAAAV7')),c(c('SKOLEMAAAV6'))),
inference('HYPERRESOLVE',[status(thm)],[22,123,118]) ).
cnf(184,plain,
complement('SKOLEMAAAV7','SKOLEMAAAV1'('SKOLEMAAAV7')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,108,theory(equality)]),111,110,theory(equality)]) ).
cnf(190,plain,
c('SKOLEMAAAV7') = 'SKOLEMAAAV1'('SKOLEMAAAV7'),
inference('HYPERRESOLVE',[status(thm)],[20,184,25]) ).
cnf(191,plain,
complement(c('SKOLEMAAAV7'),'SKOLEMAAAV7'),
inference('REWRITE',[status(thm)],[28,190,theory(equality)]) ).
cnf(200,plain,
c(c('SKOLEMAAAV7')) = 'SKOLEMAAAV7',
inference('HYPERRESOLVE',[status(thm)],[20,191,118]) ).
cnf(202,plain,
c(addition(c('SKOLEMAAAV7'),'SKOLEMAAAV6')) = multiplication('SKOLEMAAAV7',c('SKOLEMAAAV6')),
inference('REWRITE',[status(thm)],[136,200,theory(equality)]) ).
cnf(207,plain,
c(addition(c('SKOLEMAAAV7'),'SKOLEMAAAV6')) = multiplication(c('SKOLEMAAAV6'),'SKOLEMAAAV7'),
inference('REWRITE',[status(thm)],[139,200,theory(equality)]) ).
cnf(216,plain,
c(addition(c('SKOLEMAAAV7'),c('SKOLEMAAAV6'))) = multiplication(c(c('SKOLEMAAAV6')),'SKOLEMAAAV7'),
inference('REWRITE',[status(thm)],[159,200,theory(equality)]) ).
cnf(217,plain,
c(addition(c('SKOLEMAAAV7'),c('SKOLEMAAAV6'))) = multiplication('SKOLEMAAAV7',c(c('SKOLEMAAAV6'))),
inference('REWRITE',[status(thm)],[161,200,theory(equality)]) ).
cnf(229,plain,
complement('SKOLEMAAAV6','SKOLEMAAAV1'('SKOLEMAAAV6')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,113,theory(equality)]),116,115,theory(equality)]) ).
cnf(235,plain,
c('SKOLEMAAAV6') = 'SKOLEMAAAV1'('SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[20,229,24]) ).
cnf(236,plain,
complement(c('SKOLEMAAAV6'),'SKOLEMAAAV6'),
inference('REWRITE',[status(thm)],[29,235,theory(equality)]) ).
cnf(245,plain,
c(c('SKOLEMAAAV6')) = 'SKOLEMAAAV6',
inference('HYPERRESOLVE',[status(thm)],[20,236,123]) ).
cnf(246,plain,
c(addition(c('SKOLEMAAAV6'),'SKOLEMAAAV7')) = multiplication('SKOLEMAAAV6',c('SKOLEMAAAV7')),
inference('REWRITE',[status(thm)],[152,245,theory(equality)]) ).
cnf(248,plain,
c(addition(c('SKOLEMAAAV6'),'SKOLEMAAAV7')) = multiplication(c('SKOLEMAAAV7'),'SKOLEMAAAV6'),
inference('REWRITE',[status(thm)],[155,245,theory(equality)]) ).
cnf(257,plain,
c(addition(c('SKOLEMAAAV7'),c('SKOLEMAAAV6'))) = multiplication('SKOLEMAAAV6','SKOLEMAAAV7'),
inference('REWRITE',[status(thm)],[216,245,theory(equality)]) ).
cnf(259,plain,
c(addition(c('SKOLEMAAAV7'),c('SKOLEMAAAV6'))) = multiplication('SKOLEMAAAV7','SKOLEMAAAV6'),
inference('REWRITE',[status(thm)],[217,245,theory(equality)]) ).
cnf(432,plain,
multiplication(c('SKOLEMAAAV7'),multiplication(c('SKOLEMAAAV6'),X)) = multiplication(c(addition('SKOLEMAAAV7','SKOLEMAAAV6')),X),
inference('PARAMODULATE',[status(thm)],[4,52,theory(equality)]) ).
cnf(433,plain,
addition(multiplication('SKOLEMAAAV6',multiplication('SKOLEMAAAV7','SKOLEMAAAV2')),addition(multiplication('SKOLEMAAAV6',multiplication(c('SKOLEMAAAV7'),'SKOLEMAAAV3')),addition(multiplication(c('SKOLEMAAAV6'),multiplication('SKOLEMAAAV7','SKOLEMAAAV4')),multiplication(c(addition('SKOLEMAAAV7','SKOLEMAAAV6')),'SKOLEMAAAV5')))) != addition(multiplication('SKOLEMAAAV7',multiplication('SKOLEMAAAV6','SKOLEMAAAV2')),addition(multiplication('SKOLEMAAAV7',multiplication(c('SKOLEMAAAV6'),'SKOLEMAAAV4')),addition(multiplication(c('SKOLEMAAAV7'),multiplication('SKOLEMAAAV6','SKOLEMAAAV3')),multiplication(c(addition('SKOLEMAAAV7','SKOLEMAAAV6')),'SKOLEMAAAV5')))),
inference('REWRITE',[status(thm)],[91,432,theory(equality)]) ).
cnf(1481,plain,
multiplication('SKOLEMAAAV7',multiplication(c('SKOLEMAAAV6'),X)) = multiplication(c(addition(c('SKOLEMAAAV7'),'SKOLEMAAAV6')),X),
inference('PARAMODULATE',[status(thm)],[4,202,theory(equality)]) ).
cnf(1490,plain,
addition(multiplication('SKOLEMAAAV6',multiplication('SKOLEMAAAV7','SKOLEMAAAV2')),addition(multiplication('SKOLEMAAAV6',multiplication(c('SKOLEMAAAV7'),'SKOLEMAAAV3')),addition(multiplication(c('SKOLEMAAAV6'),multiplication('SKOLEMAAAV7','SKOLEMAAAV4')),multiplication(c(addition('SKOLEMAAAV7','SKOLEMAAAV6')),'SKOLEMAAAV5')))) != addition(multiplication('SKOLEMAAAV7',multiplication('SKOLEMAAAV6','SKOLEMAAAV2')),addition(multiplication(c(addition(c('SKOLEMAAAV7'),'SKOLEMAAAV6')),'SKOLEMAAAV4'),addition(multiplication(c('SKOLEMAAAV7'),multiplication('SKOLEMAAAV6','SKOLEMAAAV3')),multiplication(c(addition('SKOLEMAAAV7','SKOLEMAAAV6')),'SKOLEMAAAV5')))),
inference('REWRITE',[status(thm)],[433,1481,theory(equality)]) ).
cnf(1502,plain,
multiplication(c('SKOLEMAAAV6'),multiplication('SKOLEMAAAV7',X)) = multiplication(c(addition(c('SKOLEMAAAV7'),'SKOLEMAAAV6')),X),
inference('PARAMODULATE',[status(thm)],[4,207,theory(equality)]) ).
cnf(1503,plain,
addition(multiplication('SKOLEMAAAV6',multiplication('SKOLEMAAAV7','SKOLEMAAAV2')),addition(multiplication('SKOLEMAAAV6',multiplication(c('SKOLEMAAAV7'),'SKOLEMAAAV3')),addition(multiplication(c(addition(c('SKOLEMAAAV7'),'SKOLEMAAAV6')),'SKOLEMAAAV4'),multiplication(c(addition('SKOLEMAAAV7','SKOLEMAAAV6')),'SKOLEMAAAV5')))) != addition(multiplication('SKOLEMAAAV7',multiplication('SKOLEMAAAV6','SKOLEMAAAV2')),addition(multiplication(c(addition(c('SKOLEMAAAV7'),'SKOLEMAAAV6')),'SKOLEMAAAV4'),addition(multiplication(c('SKOLEMAAAV7'),multiplication('SKOLEMAAAV6','SKOLEMAAAV3')),multiplication(c(addition('SKOLEMAAAV7','SKOLEMAAAV6')),'SKOLEMAAAV5')))),
inference('REWRITE',[status(thm)],[1490,1502,theory(equality)]) ).
cnf(1596,plain,
multiplication('SKOLEMAAAV6',multiplication(c('SKOLEMAAAV7'),X)) = multiplication(c(addition(c('SKOLEMAAAV6'),'SKOLEMAAAV7')),X),
inference('PARAMODULATE',[status(thm)],[4,246,theory(equality)]) ).
cnf(1597,plain,
addition(multiplication('SKOLEMAAAV6',multiplication('SKOLEMAAAV7','SKOLEMAAAV2')),addition(multiplication(c(addition(c('SKOLEMAAAV6'),'SKOLEMAAAV7')),'SKOLEMAAAV3'),addition(multiplication(c(addition(c('SKOLEMAAAV7'),'SKOLEMAAAV6')),'SKOLEMAAAV4'),multiplication(c(addition('SKOLEMAAAV7','SKOLEMAAAV6')),'SKOLEMAAAV5')))) != addition(multiplication('SKOLEMAAAV7',multiplication('SKOLEMAAAV6','SKOLEMAAAV2')),addition(multiplication(c(addition(c('SKOLEMAAAV7'),'SKOLEMAAAV6')),'SKOLEMAAAV4'),addition(multiplication(c('SKOLEMAAAV7'),multiplication('SKOLEMAAAV6','SKOLEMAAAV3')),multiplication(c(addition('SKOLEMAAAV7','SKOLEMAAAV6')),'SKOLEMAAAV5')))),
inference('REWRITE',[status(thm)],[1503,1596,theory(equality)]) ).
cnf(1616,plain,
multiplication(c('SKOLEMAAAV7'),multiplication('SKOLEMAAAV6',X)) = multiplication(c(addition(c('SKOLEMAAAV6'),'SKOLEMAAAV7')),X),
inference('PARAMODULATE',[status(thm)],[4,248,theory(equality)]) ).
cnf(1617,plain,
addition(multiplication('SKOLEMAAAV6',multiplication('SKOLEMAAAV7','SKOLEMAAAV2')),addition(multiplication(c(addition(c('SKOLEMAAAV6'),'SKOLEMAAAV7')),'SKOLEMAAAV3'),addition(multiplication(c(addition(c('SKOLEMAAAV7'),'SKOLEMAAAV6')),'SKOLEMAAAV4'),multiplication(c(addition('SKOLEMAAAV7','SKOLEMAAAV6')),'SKOLEMAAAV5')))) != addition(multiplication('SKOLEMAAAV7',multiplication('SKOLEMAAAV6','SKOLEMAAAV2')),addition(multiplication(c(addition(c('SKOLEMAAAV7'),'SKOLEMAAAV6')),'SKOLEMAAAV4'),addition(multiplication(c(addition(c('SKOLEMAAAV6'),'SKOLEMAAAV7')),'SKOLEMAAAV3'),multiplication(c(addition('SKOLEMAAAV7','SKOLEMAAAV6')),'SKOLEMAAAV5')))),
inference('REWRITE',[status(thm)],[1597,1616,theory(equality)]) ).
cnf(1641,plain,
multiplication('SKOLEMAAAV6',multiplication('SKOLEMAAAV7',X)) = multiplication(c(addition(c('SKOLEMAAAV7'),c('SKOLEMAAAV6'))),X),
inference('PARAMODULATE',[status(thm)],[4,257,theory(equality)]) ).
cnf(1642,plain,
addition(multiplication(c(addition(c('SKOLEMAAAV7'),c('SKOLEMAAAV6'))),'SKOLEMAAAV2'),addition(multiplication(c(addition(c('SKOLEMAAAV6'),'SKOLEMAAAV7')),'SKOLEMAAAV3'),addition(multiplication(c(addition(c('SKOLEMAAAV7'),'SKOLEMAAAV6')),'SKOLEMAAAV4'),multiplication(c(addition('SKOLEMAAAV7','SKOLEMAAAV6')),'SKOLEMAAAV5')))) != addition(multiplication('SKOLEMAAAV7',multiplication('SKOLEMAAAV6','SKOLEMAAAV2')),addition(multiplication(c(addition(c('SKOLEMAAAV7'),'SKOLEMAAAV6')),'SKOLEMAAAV4'),addition(multiplication(c(addition(c('SKOLEMAAAV6'),'SKOLEMAAAV7')),'SKOLEMAAAV3'),multiplication(c(addition('SKOLEMAAAV7','SKOLEMAAAV6')),'SKOLEMAAAV5')))),
inference('REWRITE',[status(thm)],[1617,1641,theory(equality)]) ).
cnf(1662,plain,
multiplication('SKOLEMAAAV7',multiplication('SKOLEMAAAV6',X)) = multiplication(c(addition(c('SKOLEMAAAV7'),c('SKOLEMAAAV6'))),X),
inference('PARAMODULATE',[status(thm)],[4,259,theory(equality)]) ).
cnf(1663,plain,
$false,
inference('REWRITE',[status(thm)],[1642,1662,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE028+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 16 15:31:11 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T15:31:12
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-16T15:31:12
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.19/0.48 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.19/0.48 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.19/0.48 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.19/0.48 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.19/0.48 ; Declaring addition to be commutative.
% 3.25/3.41 ; Declaring addition to be associative-commutative.
% 3.25/3.41
% 3.25/3.41 #||
% 3.25/3.41 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.25/3.41 % SZS output start Refutation
% See solution above
% 3.25/3.43 ||#
% 3.25/3.43
% 3.25/3.43 ; Summary of computation:
% 3.25/3.43 ; 12508 formulas have been input or derived (from 211 formulas).
% 3.25/3.43 ; 1663 (13%) were retained. Of these,
% 3.25/3.43 ; 264 (16%) were simplified or subsumed later,
% 3.25/3.43 ; 1399 (84%) are still being kept.
% 3.25/3.43 ;
% 3.25/3.43 ; Run time in seconds excluding printing time:
% 3.25/3.43 ; 0.006 0% Read assertion file (1 call)
% 3.25/3.43 ; 0.001 0% Assert (19 calls)
% 3.25/3.43 ; 0.177 6% Process new row (12,143 calls)
% 3.25/3.43 ; 0.046 2% Resolution (420 calls)
% 3.25/3.43 ; 0.138 5% Paramodulation (210 calls)
% 3.25/3.43 ; 0.000 0% Factoring (4 calls)
% 3.25/3.43 ; 0.001 0% Embedding (157 calls)
% 3.25/3.43 ; 0.056 2% Condensing (1,170 calls)
% 3.25/3.43 ; 0.079 3% Forward subsumption (1,170 calls)
% 3.25/3.43 ; 0.013 0% Backward subsumption (486 calls)
% 3.25/3.43 ; 0.023 1% Clause clause subsumption (4,115 calls)
% 3.25/3.43 ; 2.268 77% Forward simplification (11,961 calls)
% 3.25/3.43 ; 0.031 1% Backward simplification (1,520 calls)
% 3.25/3.43 ; 0.022 1% Ordering (8,147 calls)
% 3.25/3.43 ; 0.006 0% Ordering ac (1,327 calls)
% 3.25/3.43 ; 0.000 0% Sortal reasoning (32 calls)
% 3.25/3.43 ; 0.001 0% Purity testing (1 call)
% 3.25/3.43 ; 0.081 3% Other
% 3.25/3.43 ; 2.949 Total
% 3.25/3.43 ; 2.961 Real time
% 3.25/3.43 ;
% 3.25/3.43 ; Term-hash-array has 3,473 terms in all.
% 3.25/3.43 ; Feature-vector-row-index has 452 entries (452 at peak, 486 added, 34 deleted).
% 3.25/3.43 ; Feature-vector-row-index has 2,189 nodes (2,189 at peak, 2,447 added, 258 deleted).
% 3.25/3.43 ; Retrieved 5,155 possibly forward subsuming rows in 1,170 calls.
% 3.25/3.43 ; Retrieved 577 possibly backward subsumed rows in 486 calls.
% 3.25/3.43 ; Path-index has 3,008 entries (3,036 at peak, 3,586 added, 578 deleted).
% 3.25/3.43 ; Path-index has 809 nodes (841 at peak, 1,093 added, 284 deleted).
% 3.25/3.43 ; Trie-index has 3,008 entries (3,036 at peak, 3,586 added, 578 deleted).
% 3.25/3.43 ; Trie-index has 1,568 nodes (1,582 at peak, 2,108 added, 540 deleted).
% 3.25/3.43 ; Retrieved 2,518,631 generalization terms in 79,810 calls.
% 3.25/3.43 ; Retrieved 3,227 instance terms in 1,051 calls.
% 3.25/3.43 ; Retrieved 54,191 unifiable terms in 2,479 calls.
% 3.25/3.43 ;
% 3.25/3.43 ; The agenda of backward simplifiable rows to process has 7 entries:
% 3.25/3.43 ; 7 with value 0
% 3.25/3.43 ; The agenda of rows to process has 5 entries:
% 3.25/3.43 ; 2 with value 25 1 with value 28 2 with value 34
% 3.25/3.43 ; The agenda of rows to give has 1209 entries:
% 3.25/3.43 ; 20 with value (4 17) 22 with value (4 33) 5 with value (4 59)
% 3.25/3.43 ; 44 with value (4 18) 36 with value (4 34) 1 with value (4 61)
% 3.25/3.43 ; 84 with value (4 19) 15 with value (4 35) 4 with value (4 62)
% 3.25/3.43 ; 108 with value (4 20) 28 with value (4 36) 8 with value (4 63)
% 3.25/3.43 ; 76 with value (4 21) 19 with value (4 37) 8 with value (4 65)
% 3.25/3.43 ; 49 with value (4 22) 5 with value (4 38) 8 with value (4 67)
% 3.25/3.43 ; 105 with value (4 23) 16 with value (4 39) 8 with value (4 68)
% 3.25/3.43 ; 82 with value (4 24) 2 with value (4 41) 8 with value (4 70)
% 3.25/3.43 ; 112 with value (4 25) 8 with value (4 42) 8 with value (4 77)
% 3.25/3.43 ; 38 with value (4 26) 4 with value (4 45) 2 with value (4 79)
% 3.25/3.43 ; 56 with value (4 27) 8 with value (4 47) 8 with value (4 84)
% 3.25/3.43 ; 39 with value (4 28) 2 with value (4 51) 8 with value (4 93)
% 3.25/3.43 ; 31 with value (4 29) 8 with value (4 53) 8 with value (4 97)
% 3.25/3.43 ; 32 with value (4 30) 4 with value (4 55) 8 with value (4 104)
% 3.25/3.43 ; 19 with value (4 31) 8 with value (4 56) 1 with value (4 107)
% 3.25/3.43 ; 28 with value (4 32) 8 with value (4 58)
% 3.25/3.43 Evaluation took:
% 3.25/3.43 2.962 seconds of real time
% 3.25/3.43 2.860134 seconds of user run time
% 3.25/3.43 0.102312 seconds of system run time
% 3.25/3.43 [Run times include 0.125 seconds GC run time.]
% 3.25/3.43 0 calls to %EVAL
% 3.25/3.43 0 page faults and
% 3.25/3.43 321,437,136 bytes consed.
% 3.25/3.43 :PROOF-FOUND
% 3.25/3.43 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T15:31:14
% 3.25/3.43 :PROOF-FOUND
% 3.25/3.43 *
%------------------------------------------------------------------------------