TSTP Solution File: KLE022+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE022+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 02:26:13 EDT 2022
% Result : Theorem 0.46s 0.63s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 10
% Syntax : Number of clauses : 19 ( 13 unt; 0 nHn; 15 RR)
% Number of literals : 28 ( 16 equ; 10 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
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('SKOLEMAAAW1'(X),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(20,axiom,
( ~ test(X)
| c(X) = Y
| ~ complement(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+1.ax',test_3) ).
cnf(24,negated_conjecture,
test('SKOLEMAAAW3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(25,negated_conjecture,
'SKOLEMAAAW2' != addition(multiplication('SKOLEMAAAW2','SKOLEMAAAW3'),multiplication('SKOLEMAAAW2',c('SKOLEMAAAW3'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(26,plain,
complement('SKOLEMAAAW1'('SKOLEMAAAW3'),'SKOLEMAAAW3'),
inference('HYPERRESOLVE',[status(thm)],[13,24]) ).
cnf(89,plain,
addition('SKOLEMAAAW1'('SKOLEMAAAW3'),'SKOLEMAAAW3') = one,
inference('HYPERRESOLVE',[status(thm)],[17,26]) ).
cnf(91,plain,
multiplication('SKOLEMAAAW1'('SKOLEMAAAW3'),'SKOLEMAAAW3') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,26]) ).
cnf(92,plain,
multiplication('SKOLEMAAAW3','SKOLEMAAAW1'('SKOLEMAAAW3')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,26]) ).
cnf(126,plain,
X = addition(multiplication(X,'SKOLEMAAAW1'('SKOLEMAAAW3')),multiplication(X,'SKOLEMAAAW3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,89,theory(equality)]),5,theory(equality)]) ).
cnf(128,plain,
complement('SKOLEMAAAW3','SKOLEMAAAW1'('SKOLEMAAAW3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,89,theory(equality)]),92,91,theory(equality)]) ).
cnf(134,plain,
c('SKOLEMAAAW3') = 'SKOLEMAAAW1'('SKOLEMAAAW3'),
inference('HYPERRESOLVE',[status(thm)],[20,128,24]) ).
cnf(142,plain,
X = addition(multiplication(X,c('SKOLEMAAAW3')),multiplication(X,'SKOLEMAAAW3')),
inference('REWRITE',[status(thm)],[126,134,theory(equality)]) ).
cnf(144,plain,
$false,
inference('REWRITE',[status(thm)],[25,142,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KLE022+3 : TPTP v8.1.0. Released v4.0.0.
% 0.08/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n007.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Thu Jun 16 08:42:26 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.22/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.49 *
% 0.22/0.49 *
% 0.22/0.50 #<PACKAGE "SNARK-USER">
% 0.22/0.50 *
% 0.22/0.50 SNARK-TPTP-OPTIONS
% 0.22/0.50 *
% 0.22/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50 (USE-FACTORING :POS)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.50 *
% 0.22/0.50 "."
% 0.22/0.50 *
% 0.22/0.50 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T08:42:26
% 0.22/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-06-16T08:42:26
% 0.22/0.52
% 0.22/0.52 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.22/0.52 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.22/0.52 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.22/0.52 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.22/0.52 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.22/0.52 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.22/0.52 ; Declaring addition to be commutative.
% 0.46/0.63 ; Declaring addition to be associative-commutative.
% 0.46/0.63
% 0.46/0.63 #||
% 0.46/0.63 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.46/0.63 % SZS output start Refutation
% See solution above
% 0.46/0.63 ||#
% 0.46/0.63
% 0.46/0.63 ; Summary of computation:
% 0.46/0.63 ; 612 formulas have been input or derived (from 50 formulas).
% 0.46/0.63 ; 144 (24%) were retained. Of these,
% 0.46/0.63 ; 26 (18%) were simplified or subsumed later,
% 0.46/0.63 ; 118 (82%) are still being kept.
% 0.46/0.63 ;
% 0.46/0.63 ; Run time in seconds excluding printing time:
% 0.46/0.63 ; 0.006 5% Read assertion file (1 call)
% 0.46/0.63 ; 0.001 1% Assert (19 calls)
% 0.46/0.63 ; 0.015 12% Process new row (550 calls)
% 0.46/0.63 ; 0.002 2% Resolution (98 calls)
% 0.46/0.63 ; 0.008 6% Paramodulation (49 calls)
% 0.46/0.63 ; 0.000 0% Factoring (1 call)
% 0.46/0.63 ; 0.000 0% Embedding (19 calls)
% 0.46/0.63 ; 0.027 21% Condensing (111 calls)
% 0.46/0.63 ; 0.004 3% Forward subsumption (111 calls)
% 0.46/0.63 ; 0.000 0% Backward subsumption (60 calls)
% 0.46/0.63 ; 0.003 2% Clause clause subsumption (167 calls)
% 0.46/0.63 ; 0.027 21% Forward simplification (524 calls)
% 0.46/0.63 ; 0.002 2% Backward simplification (128 calls)
% 0.46/0.63 ; 0.003 2% Ordering (409 calls)
% 0.46/0.63 ; 0.001 1% Ordering ac (37 calls)
% 0.46/0.63 ; 0.000 0% Sortal reasoning (32 calls)
% 0.46/0.63 ; 0.000 0% Purity testing (1 call)
% 0.46/0.63 ; 0.030 23% Other
% 0.46/0.63 ; 0.129 Total
% 0.46/0.63 ; 0.132 Real time
% 0.46/0.63 ;
% 0.46/0.63 ; Term-hash-array has 352 terms in all.
% 0.46/0.63 ; Feature-vector-row-index has 55 entries (55 at peak, 60 added, 5 deleted).
% 0.46/0.63 ; Feature-vector-row-index has 221 nodes (223 at peak, 255 added, 34 deleted).
% 0.46/0.63 ; Retrieved 218 possibly forward subsuming rows in 111 calls.
% 0.46/0.63 ; Retrieved 24 possibly backward subsumed rows in 60 calls.
% 0.46/0.63 ; Path-index has 309 entries (330 at peak, 359 added, 50 deleted).
% 0.46/0.63 ; Path-index has 325 nodes (338 at peak, 358 added, 33 deleted).
% 0.46/0.63 ; Trie-index has 309 entries (330 at peak, 359 added, 50 deleted).
% 0.46/0.63 ; Trie-index has 352 nodes (382 at peak, 405 added, 53 deleted).
% 0.46/0.63 ; Retrieved 7,935 generalization terms in 3,473 calls.
% 0.46/0.63 ; Retrieved 108 instance terms in 85 calls.
% 0.46/0.63 ; Retrieved 2,024 unifiable terms in 476 calls.
% 0.46/0.63 ;
% 0.46/0.63 ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.46/0.63 ; 3 with value 0
% 0.46/0.63 ; The agenda of rows to process has 7 entries:
% 0.46/0.63 ; 6 with value 13 1 with value 17
% 0.46/0.63 ; The agenda of rows to give has 75 entries:
% 0.46/0.63 ; 1 with value (4 7) 4 with value (4 17) 2 with value (4 39)
% 0.46/0.63 ; 1 with value (4 9) 4 with value (4 18) 2 with value (4 41)
% 0.46/0.63 ; 8 with value (4 11) 9 with value (4 20) 2 with value (4 51)
% 0.46/0.63 ; 5 with value (4 12) 2 with value (4 21) 1 with value (4 59)
% 0.46/0.63 ; 3 with value (4 13) 4 with value (4 25) 1 with value (4 61)
% 0.46/0.63 ; 2 with value (4 14) 2 with value (4 26) 2 with value (4 79)
% 0.46/0.63 ; 6 with value (4 15) 6 with value (4 28) 1 with value (4 107)
% 0.46/0.63 ; 3 with value (4 16) 4 with value (4 38)
% 0.46/0.63 Evaluation took:
% 0.46/0.63 0.132 seconds of real time
% 0.46/0.63 0.120884 seconds of user run time
% 0.46/0.63 0.010648 seconds of system run time
% 0.46/0.63 0 calls to %EVAL
% 0.46/0.63 0 page faults and
% 0.46/0.63 8,042,272 bytes consed.
% 0.46/0.63 :PROOF-FOUND
% 0.46/0.63 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T08:42:26
% 0.46/0.63 :PROOF-FOUND
% 0.46/0.63 *
%------------------------------------------------------------------------------