TSTP Solution File: KLE027+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE027+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 02:26:15 EDT 2022
% Result : Theorem 0.41s 0.62s
% Output : Refutation 0.41s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 16
% Syntax : Number of clauses : 33 ( 24 unt; 0 nHn; 27 RR)
% Number of literals : 47 ( 26 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 27 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
cnf(4,axiom,
multiplication(X,multiplication(Y,Z)) = multiplication(multiplication(X,Y),Z),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
cnf(10,axiom,
multiplication(zero,X) = zero,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
cnf(13,axiom,
( ~ test(X)
| complement('SKOLEMAAAV1'(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
cnf(14,axiom,
( test(X)
| ~ complement(Y,X) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_1) ).
cnf(15,axiom,
( ~ complement(X,Y)
| multiplication(Y,X) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(16,axiom,
( ~ complement(X,Y)
| multiplication(X,Y) = zero ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(17,axiom,
( ~ complement(X,Y)
| addition(X,Y) = one ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+1.ax',test_2) ).
cnf(19,axiom,
( ~ test(X)
| c(X) != Y
| complement(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
cnf(20,axiom,
( ~ test(X)
| c(X) = Y
| ~ complement(X,Y) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+2.ax',test_deMorgan1) ).
cnf(24,negated_conjecture,
test('SKOLEMAAAV5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(26,negated_conjecture,
addition(multiplication('SKOLEMAAAV5',addition(multiplication('SKOLEMAAAV5','SKOLEMAAAV2'),multiplication(c('SKOLEMAAAV5'),'SKOLEMAAAV3'))),multiplication(c('SKOLEMAAAV5'),'SKOLEMAAAV4')) != addition(multiplication('SKOLEMAAAV5','SKOLEMAAAV2'),multiplication(c('SKOLEMAAAV5'),'SKOLEMAAAV4')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(27,plain,
addition(multiplication('SKOLEMAAAV5',multiplication('SKOLEMAAAV5','SKOLEMAAAV2')),addition(multiplication('SKOLEMAAAV5',multiplication(c('SKOLEMAAAV5'),'SKOLEMAAAV3')),multiplication(c('SKOLEMAAAV5'),'SKOLEMAAAV4'))) != addition(multiplication('SKOLEMAAAV5','SKOLEMAAAV2'),multiplication(c('SKOLEMAAAV5'),'SKOLEMAAAV4')),
inference('REWRITE',[status(thm)],[26,7,theory(equality)]) ).
cnf(29,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV5'),'SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[13,24]) ).
cnf(38,plain,
complement('SKOLEMAAAV5',c('SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[19,24,theory(equality)]) ).
cnf(111,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV5'),'SKOLEMAAAV5') = one,
inference('HYPERRESOLVE',[status(thm)],[17,29]) ).
cnf(113,plain,
multiplication('SKOLEMAAAV1'('SKOLEMAAAV5'),'SKOLEMAAAV5') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,29]) ).
cnf(114,plain,
multiplication('SKOLEMAAAV5','SKOLEMAAAV1'('SKOLEMAAAV5')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,29]) ).
cnf(121,plain,
test(c('SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[14,38]) ).
cnf(124,plain,
multiplication('SKOLEMAAAV5',c('SKOLEMAAAV5')) = zero,
inference('HYPERRESOLVE',[status(thm)],[16,38]) ).
cnf(158,plain,
c(c('SKOLEMAAAV5')) = multiplication(c(c('SKOLEMAAAV5')),c(c('SKOLEMAAAV5'))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[22,121,121]),2,theory(equality)]) ).
cnf(227,plain,
complement('SKOLEMAAAV5','SKOLEMAAAV1'('SKOLEMAAAV5')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,111,theory(equality)]),114,113,theory(equality)]) ).
cnf(233,plain,
c('SKOLEMAAAV5') = 'SKOLEMAAAV1'('SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[20,227,24]) ).
cnf(234,plain,
complement(c('SKOLEMAAAV5'),'SKOLEMAAAV5'),
inference('REWRITE',[status(thm)],[29,233,theory(equality)]) ).
cnf(243,plain,
c(c('SKOLEMAAAV5')) = 'SKOLEMAAAV5',
inference('HYPERRESOLVE',[status(thm)],[20,234,121]) ).
cnf(247,plain,
'SKOLEMAAAV5' = multiplication('SKOLEMAAAV5','SKOLEMAAAV5'),
inference('REWRITE',[status(thm)],[158,243,theory(equality)]) ).
cnf(259,plain,
multiplication('SKOLEMAAAV5',multiplication('SKOLEMAAAV5',X)) = multiplication('SKOLEMAAAV5',X),
inference('PARAMODULATE',[status(thm)],[4,247,theory(equality)]) ).
cnf(260,plain,
addition(multiplication('SKOLEMAAAV5','SKOLEMAAAV2'),addition(multiplication('SKOLEMAAAV5',multiplication(c('SKOLEMAAAV5'),'SKOLEMAAAV3')),multiplication(c('SKOLEMAAAV5'),'SKOLEMAAAV4'))) != addition(multiplication('SKOLEMAAAV5','SKOLEMAAAV2'),multiplication(c('SKOLEMAAAV5'),'SKOLEMAAAV4')),
inference('REWRITE',[status(thm)],[27,259,theory(equality)]) ).
cnf(263,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[260,4,theory(equality)]),1,10,124,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KLE027+3 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n007.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 16 09:13:41 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T09:13:41
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-16T09:13:41
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.20/0.49 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.20/0.49 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.20/0.49 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.20/0.49 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.20/0.49 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.20/0.49 ; Declaring addition to be commutative.
% 0.41/0.62 ; Declaring addition to be associative-commutative.
% 0.41/0.62
% 0.41/0.62 #||
% 0.41/0.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.41/0.62 % SZS output start Refutation
% See solution above
% 0.41/0.62 ||#
% 0.41/0.62
% 0.41/0.62 ; Summary of computation:
% 0.41/0.62 ; 902 formulas have been input or derived (from 66 formulas).
% 0.41/0.62 ; 263 (29%) were retained. Of these,
% 0.41/0.62 ; 100 (38%) were simplified or subsumed later,
% 0.41/0.62 ; 163 (62%) are still being kept.
% 0.41/0.62 ;
% 0.41/0.62 ; Run time in seconds excluding printing time:
% 0.41/0.62 ; 0.005 3% Read assertion file (1 call)
% 0.41/0.62 ; 0.002 1% Assert (19 calls)
% 0.41/0.62 ; 0.024 16% Process new row (837 calls)
% 0.41/0.62 ; 0.006 4% Resolution (130 calls)
% 0.41/0.62 ; 0.008 5% Paramodulation (65 calls)
% 0.41/0.62 ; 0.000 0% Factoring (1 call)
% 0.41/0.62 ; 0.000 0% Embedding (45 calls)
% 0.41/0.62 ; 0.021 14% Condensing (139 calls)
% 0.41/0.62 ; 0.006 4% Forward subsumption (139 calls)
% 0.41/0.62 ; 0.000 0% Backward subsumption (88 calls)
% 0.41/0.62 ; 0.003 2% Clause clause subsumption (203 calls)
% 0.41/0.62 ; 0.032 22% Forward simplification (783 calls)
% 0.41/0.62 ; 0.005 3% Backward simplification (232 calls)
% 0.41/0.62 ; 0.005 3% Ordering (602 calls)
% 0.41/0.62 ; 0.001 1% Ordering ac (47 calls)
% 0.41/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.41/0.62 ; 0.000 0% Purity testing (1 call)
% 0.41/0.62 ; 0.028 19% Other
% 0.41/0.62 ; 0.146 Total
% 0.41/0.62 ; 0.150 Real time
% 0.41/0.62 ;
% 0.41/0.62 ; Term-hash-array has 594 terms in all.
% 0.41/0.62 ; Feature-vector-row-index has 66 entries (67 at peak, 88 added, 22 deleted).
% 0.41/0.62 ; Feature-vector-row-index has 247 nodes (272 at peak, 378 added, 131 deleted).
% 0.41/0.62 ; Retrieved 247 possibly forward subsuming rows in 139 calls.
% 0.41/0.62 ; Retrieved 32 possibly backward subsumed rows in 88 calls.
% 0.41/0.62 ; Path-index has 417 entries (473 at peak, 637 added, 220 deleted).
% 0.41/0.62 ; Path-index has 426 nodes (438 at peak, 553 added, 127 deleted).
% 0.41/0.62 ; Trie-index has 417 entries (473 at peak, 637 added, 220 deleted).
% 0.41/0.62 ; Trie-index has 470 nodes (559 at peak, 737 added, 267 deleted).
% 0.41/0.62 ; Retrieved 11,270 generalization terms in 4,748 calls.
% 0.41/0.62 ; Retrieved 189 instance terms in 161 calls.
% 0.41/0.62 ; Retrieved 3,287 unifiable terms in 720 calls.
% 0.41/0.62 ;
% 0.41/0.62 ; The agenda of rows to give has 110 entries:
% 0.41/0.62 ; 17 with value (4 11) 3 with value (4 19) 2 with value (4 39)
% 0.41/0.62 ; 10 with value (4 12) 14 with value (4 20) 2 with value (4 41)
% 0.41/0.62 ; 4 with value (4 13) 1 with value (4 21) 2 with value (4 51)
% 0.41/0.62 ; 2 with value (4 14) 8 with value (4 23) 1 with value (4 59)
% 0.41/0.62 ; 3 with value (4 15) 2 with value (4 26) 1 with value (4 61)
% 0.41/0.62 ; 9 with value (4 16) 6 with value (4 28) 2 with value (4 79)
% 0.41/0.62 ; 14 with value (4 17) 4 with value (4 38) 1 with value (4 107)
% 0.41/0.62 ; 2 with value (4 18)
% 0.41/0.62 Evaluation took:
% 0.41/0.62 0.15 seconds of real time
% 0.41/0.62 0.135531 seconds of user run time
% 0.41/0.62 0.01388 seconds of system run time
% 0.41/0.62 0 calls to %EVAL
% 0.41/0.62 0 page faults and
% 0.41/0.62 10,933,184 bytes consed.
% 0.41/0.62 :PROOF-FOUND
% 0.41/0.62 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T09:13:41
% 0.41/0.62 :PROOF-FOUND
% 0.41/0.62 *
%------------------------------------------------------------------------------