TSTP Solution File: KLE027+4 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE027+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 02:26:16 EDT 2022
% Result : Theorem 0.40s 0.62s
% Output : Refutation 0.40s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 17
% Syntax : Number of clauses : 37 ( 25 unt; 0 nHn; 28 RR)
% Number of literals : 54 ( 25 equ; 20 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% Number of variables : 34 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_identity) ).
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
cnf(3,plain,
addition(X,addition(X,Y)) = addition(X,Y),
inference('EMBED',[status(thm)],[2]) ).
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(10,axiom,
multiplication(zero,X) = zero,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_annihilation) ).
cnf(12,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(13,axiom,
( ~ test(X)
| complement('SKOLEMAAAU1'(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('SKOLEMAAAU5'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(26,negated_conjecture,
( ~ leq(addition(multiplication('SKOLEMAAAU5',addition(multiplication('SKOLEMAAAU5','SKOLEMAAAU2'),multiplication(c('SKOLEMAAAU5'),'SKOLEMAAAU3'))),multiplication(c('SKOLEMAAAU5'),'SKOLEMAAAU4')),addition(multiplication('SKOLEMAAAU5','SKOLEMAAAU2'),multiplication(c('SKOLEMAAAU5'),'SKOLEMAAAU4')))
| ~ leq(addition(multiplication('SKOLEMAAAU5','SKOLEMAAAU2'),multiplication(c('SKOLEMAAAU5'),'SKOLEMAAAU4')),addition(multiplication('SKOLEMAAAU5',addition(multiplication('SKOLEMAAAU5','SKOLEMAAAU2'),multiplication(c('SKOLEMAAAU5'),'SKOLEMAAAU3'))),multiplication(c('SKOLEMAAAU5'),'SKOLEMAAAU4'))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(27,plain,
( ~ leq(addition(multiplication('SKOLEMAAAU5',multiplication('SKOLEMAAAU5','SKOLEMAAAU2')),addition(multiplication('SKOLEMAAAU5',multiplication(c('SKOLEMAAAU5'),'SKOLEMAAAU3')),multiplication(c('SKOLEMAAAU5'),'SKOLEMAAAU4'))),addition(multiplication('SKOLEMAAAU5','SKOLEMAAAU2'),multiplication(c('SKOLEMAAAU5'),'SKOLEMAAAU4')))
| ~ leq(addition(multiplication('SKOLEMAAAU5','SKOLEMAAAU2'),multiplication(c('SKOLEMAAAU5'),'SKOLEMAAAU4')),addition(multiplication('SKOLEMAAAU5',multiplication('SKOLEMAAAU5','SKOLEMAAAU2')),addition(multiplication('SKOLEMAAAU5',multiplication(c('SKOLEMAAAU5'),'SKOLEMAAAU3')),multiplication(c('SKOLEMAAAU5'),'SKOLEMAAAU4')))) ),
inference('REWRITE',[status(thm)],[26,7,theory(equality)]) ).
cnf(29,plain,
complement('SKOLEMAAAU1'('SKOLEMAAAU5'),'SKOLEMAAAU5'),
inference('HYPERRESOLVE',[status(thm)],[13,24]) ).
cnf(32,plain,
leq(X,X),
inference('HYPERRESOLVE',[status(thm)],[12,2]) ).
cnf(33,plain,
leq(X,addition(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[12,3]) ).
cnf(38,plain,
complement('SKOLEMAAAU5',c('SKOLEMAAAU5')),
inference('HYPERRESOLVE',[status(thm)],[19,24,theory(equality)]) ).
cnf(111,plain,
addition('SKOLEMAAAU1'('SKOLEMAAAU5'),'SKOLEMAAAU5') = one,
inference('HYPERRESOLVE',[status(thm)],[17,29]) ).
cnf(113,plain,
multiplication('SKOLEMAAAU1'('SKOLEMAAAU5'),'SKOLEMAAAU5') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,29]) ).
cnf(114,plain,
multiplication('SKOLEMAAAU5','SKOLEMAAAU1'('SKOLEMAAAU5')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,29]) ).
cnf(121,plain,
test(c('SKOLEMAAAU5')),
inference('HYPERRESOLVE',[status(thm)],[14,38]) ).
cnf(124,plain,
multiplication('SKOLEMAAAU5',c('SKOLEMAAAU5')) = zero,
inference('HYPERRESOLVE',[status(thm)],[16,38]) ).
cnf(158,plain,
c(c('SKOLEMAAAU5')) = multiplication(c(c('SKOLEMAAAU5')),c(c('SKOLEMAAAU5'))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[22,121,121]),2,theory(equality)]) ).
cnf(227,plain,
complement('SKOLEMAAAU5','SKOLEMAAAU1'('SKOLEMAAAU5')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,111,theory(equality)]),114,113,theory(equality)]) ).
cnf(233,plain,
c('SKOLEMAAAU5') = 'SKOLEMAAAU1'('SKOLEMAAAU5'),
inference('HYPERRESOLVE',[status(thm)],[20,227,24]) ).
cnf(234,plain,
complement(c('SKOLEMAAAU5'),'SKOLEMAAAU5'),
inference('REWRITE',[status(thm)],[29,233,theory(equality)]) ).
cnf(243,plain,
c(c('SKOLEMAAAU5')) = 'SKOLEMAAAU5',
inference('HYPERRESOLVE',[status(thm)],[20,234,121]) ).
cnf(247,plain,
'SKOLEMAAAU5' = multiplication('SKOLEMAAAU5','SKOLEMAAAU5'),
inference('REWRITE',[status(thm)],[158,243,theory(equality)]) ).
cnf(259,plain,
multiplication('SKOLEMAAAU5',multiplication('SKOLEMAAAU5',X)) = multiplication('SKOLEMAAAU5',X),
inference('PARAMODULATE',[status(thm)],[4,247,theory(equality)]) ).
cnf(260,plain,
~ leq(addition(multiplication('SKOLEMAAAU5','SKOLEMAAAU2'),addition(multiplication('SKOLEMAAAU5',multiplication(c('SKOLEMAAAU5'),'SKOLEMAAAU3')),multiplication(c('SKOLEMAAAU5'),'SKOLEMAAAU4'))),addition(multiplication('SKOLEMAAAU5','SKOLEMAAAU2'),multiplication(c('SKOLEMAAAU5'),'SKOLEMAAAU4'))),
inference('REWRITE',[status(thm)],[27,33,259,theory(equality)]) ).
cnf(262,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[260,4,theory(equality)]),32,1,10,124,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KLE027+4 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n003.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 09:37:56 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:37:56
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-16T09:37:56
% 0.20/0.48
% 0.20/0.48 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.20/0.48 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.20/0.48 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.20/0.48 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.20/0.48 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.20/0.48 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.20/0.48 ; Declaring addition to be commutative.
% 0.40/0.62 ; Declaring addition to be associative-commutative.
% 0.40/0.62
% 0.40/0.62 #||
% 0.40/0.62 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.40/0.62 % SZS output start Refutation
% See solution above
% 0.40/0.62 ||#
% 0.40/0.62
% 0.40/0.62 ; Summary of computation:
% 0.40/0.62 ; 902 formulas have been input or derived (from 66 formulas).
% 0.40/0.62 ; 262 (29%) were retained. Of these,
% 0.40/0.62 ; 100 (38%) were simplified or subsumed later,
% 0.40/0.62 ; 162 (62%) are still being kept.
% 0.40/0.62 ;
% 0.40/0.62 ; Run time in seconds excluding printing time:
% 0.40/0.62 ; 0.005 3% Read assertion file (1 call)
% 0.40/0.62 ; 0.002 1% Assert (19 calls)
% 0.40/0.62 ; 0.023 15% Process new row (836 calls)
% 0.40/0.62 ; 0.005 3% Resolution (130 calls)
% 0.40/0.62 ; 0.008 5% Paramodulation (65 calls)
% 0.40/0.62 ; 0.000 0% Factoring (1 call)
% 0.40/0.62 ; 0.001 1% Embedding (45 calls)
% 0.40/0.62 ; 0.021 14% Condensing (142 calls)
% 0.40/0.62 ; 0.003 2% Forward subsumption (142 calls)
% 0.40/0.62 ; 0.002 1% Backward subsumption (89 calls)
% 0.40/0.62 ; 0.005 3% Clause clause subsumption (205 calls)
% 0.40/0.62 ; 0.036 24% Forward simplification (782 calls)
% 0.40/0.62 ; 0.004 3% Backward simplification (231 calls)
% 0.40/0.62 ; 0.005 3% Ordering (607 calls)
% 0.40/0.62 ; 0.002 1% Ordering ac (47 calls)
% 0.40/0.62 ; 0.000 0% Sortal reasoning (32 calls)
% 0.40/0.62 ; 0.000 0% Purity testing (1 call)
% 0.40/0.62 ; 0.030 20% Other
% 0.40/0.62 ; 0.152 Total
% 0.40/0.62 ; 0.155 Real time
% 0.40/0.62 ;
% 0.40/0.62 ; Term-hash-array has 594 terms in all.
% 0.40/0.62 ; Feature-vector-row-index has 66 entries (68 at peak, 89 added, 23 deleted).
% 0.40/0.62 ; Feature-vector-row-index has 247 nodes (294 at peak, 400 added, 153 deleted).
% 0.40/0.62 ; Retrieved 249 possibly forward subsuming rows in 142 calls.
% 0.40/0.62 ; Retrieved 32 possibly backward subsumed rows in 89 calls.
% 0.40/0.62 ; Path-index has 416 entries (474 at peak, 637 added, 221 deleted).
% 0.40/0.62 ; Path-index has 429 nodes (462 at peak, 567 added, 138 deleted).
% 0.40/0.62 ; Trie-index has 416 entries (474 at peak, 637 added, 221 deleted).
% 0.40/0.62 ; Trie-index has 463 nodes (559 at peak, 730 added, 267 deleted).
% 0.40/0.62 ; Retrieved 11,263 generalization terms in 4,764 calls.
% 0.40/0.62 ; Retrieved 191 instance terms in 159 calls.
% 0.40/0.62 ; Retrieved 3,211 unifiable terms in 720 calls.
% 0.40/0.62 ;
% 0.40/0.62 ; The agenda of rows to process has 1 entry:
% 0.40/0.62 ; 1 with value 39
% 0.40/0.62 ; The agenda of rows to give has 109 entries:
% 0.40/0.62 ; 17 with value (4 11) 3 with value (4 19) 2 with value (4 39)
% 0.40/0.62 ; 10 with value (4 12) 13 with value (4 20) 2 with value (4 41)
% 0.40/0.62 ; 4 with value (4 13) 1 with value (4 21) 2 with value (4 51)
% 0.40/0.62 ; 2 with value (4 14) 8 with value (4 23) 1 with value (4 59)
% 0.40/0.62 ; 3 with value (4 15) 2 with value (4 26) 1 with value (4 61)
% 0.40/0.62 ; 9 with value (4 16) 6 with value (4 28) 2 with value (4 79)
% 0.40/0.62 ; 14 with value (4 17) 4 with value (4 38) 1 with value (4 107)
% 0.40/0.62 ; 2 with value (4 18)
% 0.40/0.62 Evaluation took:
% 0.40/0.62 0.155 seconds of real time
% 0.40/0.62 0.13989 seconds of user run time
% 0.40/0.62 0.014967 seconds of system run time
% 0.40/0.62 0 calls to %EVAL
% 0.40/0.62 0 page faults and
% 0.40/0.62 11,571,936 bytes consed.
% 0.40/0.62 :PROOF-FOUND
% 0.40/0.62 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:37:57
% 0.40/0.62 :PROOF-FOUND
% 0.40/0.62 *
%------------------------------------------------------------------------------