TSTP Solution File: KLE007+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE007+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 02:26:04 EDT 2022
% Result : Theorem 0.39s 0.60s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 25 ( 18 unt; 0 nHn; 20 RR)
% Number of literals : 36 ( 19 equ; 14 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 : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 22 ( 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(8,axiom,
multiplication(addition(X,Y),Z) = addition(multiplication(X,Z),multiplication(Y,Z)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
cnf(13,axiom,
( ~ test(X)
| complement('SKOLEMAAAV1'(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(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,negated_conjecture,
test('SKOLEMAAAV3'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(23,negated_conjecture,
test('SKOLEMAAAV2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(24,negated_conjecture,
one != addition(multiplication(addition('SKOLEMAAAV2',c('SKOLEMAAAV2')),'SKOLEMAAAV3'),multiplication(addition('SKOLEMAAAV2',c('SKOLEMAAAV2')),c('SKOLEMAAAV3'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(25,plain,
one != addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV3'),addition(multiplication(c('SKOLEMAAAV2'),'SKOLEMAAAV3'),addition(multiplication('SKOLEMAAAV2',c('SKOLEMAAAV3')),multiplication(c('SKOLEMAAAV2'),c('SKOLEMAAAV3'))))),
inference('REWRITE',[status(thm)],[24,8,theory(equality)]) ).
cnf(26,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[13,22]) ).
cnf(36,plain,
complement('SKOLEMAAAV2',c('SKOLEMAAAV2')),
inference('HYPERRESOLVE',[status(thm)],[19,23,theory(equality)]) ).
cnf(75,plain,
~ complement(addition(multiplication('SKOLEMAAAV2',c('SKOLEMAAAV3')),multiplication('SKOLEMAAAV2','SKOLEMAAAV3')),addition(multiplication(c('SKOLEMAAAV2'),c('SKOLEMAAAV3')),multiplication(c('SKOLEMAAAV2'),'SKOLEMAAAV3'))),
inference('UR-RESOLVE',[status(thm)],[17,25]) ).
cnf(92,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = one,
inference('HYPERRESOLVE',[status(thm)],[17,26]) ).
cnf(94,plain,
multiplication('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,26]) ).
cnf(95,plain,
multiplication('SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,26]) ).
cnf(128,plain,
X = addition(multiplication(X,'SKOLEMAAAV1'('SKOLEMAAAV3')),multiplication(X,'SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,92,theory(equality)]),5,theory(equality)]) ).
cnf(130,plain,
complement('SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,92,theory(equality)]),95,94,theory(equality)]) ).
cnf(136,plain,
c('SKOLEMAAAV3') = 'SKOLEMAAAV1'('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[20,130,22]) ).
cnf(144,plain,
X = addition(multiplication(X,c('SKOLEMAAAV3')),multiplication(X,'SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[128,136,theory(equality)]) ).
cnf(148,plain,
$false,
inference('REWRITE',[status(thm)],[75,36,144,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : KLE007+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 16 09:14:17 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:14:17
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-16T09:14:17
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.19/0.49 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.19/0.49 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.19/0.49 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.19/0.49 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.19/0.49 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.19/0.49 ; Declaring addition to be commutative.
% 0.39/0.60 ; Declaring addition to be associative-commutative.
% 0.39/0.60
% 0.39/0.60 #||
% 0.39/0.60 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.39/0.60 % SZS output start Refutation
% See solution above
% 0.39/0.60 ||#
% 0.39/0.60
% 0.39/0.60 ; Summary of computation:
% 0.39/0.60 ; 578 formulas have been input or derived (from 51 formulas).
% 0.39/0.60 ; 148 (26%) were retained. Of these,
% 0.39/0.60 ; 36 (24%) were simplified or subsumed later,
% 0.39/0.60 ; 112 (76%) are still being kept.
% 0.39/0.60 ;
% 0.39/0.60 ; Run time in seconds excluding printing time:
% 0.39/0.60 ; 0.005 4% Read assertion file (1 call)
% 0.39/0.60 ; 0.001 1% Assert (17 calls)
% 0.39/0.60 ; 0.013 11% Process new row (509 calls)
% 0.39/0.60 ; 0.002 2% Resolution (100 calls)
% 0.39/0.60 ; 0.008 7% Paramodulation (50 calls)
% 0.39/0.60 ; 0.000 0% Factoring (1 call)
% 0.39/0.60 ; 0.000 0% Embedding (18 calls)
% 0.39/0.60 ; 0.026 22% Condensing (94 calls)
% 0.39/0.60 ; 0.007 6% Forward subsumption (94 calls)
% 0.39/0.60 ; 0.000 0% Backward subsumption (45 calls)
% 0.39/0.60 ; 0.005 4% Clause clause subsumption (155 calls)
% 0.39/0.60 ; 0.025 21% Forward simplification (484 calls)
% 0.39/0.60 ; 0.001 1% Backward simplification (132 calls)
% 0.39/0.60 ; 0.001 1% Ordering (354 calls)
% 0.39/0.60 ; 0.001 1% Ordering ac (37 calls)
% 0.39/0.60 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.60 ; 0.000 0% Purity testing (1 call)
% 0.39/0.60 ; 0.025 21% Other
% 0.39/0.60 ; 0.120 Total
% 0.39/0.60 ; 0.122 Real time
% 0.39/0.60 ;
% 0.39/0.60 ; Term-hash-array has 345 terms in all.
% 0.39/0.60 ; Feature-vector-row-index has 40 entries (40 at peak, 45 added, 5 deleted).
% 0.39/0.60 ; Feature-vector-row-index has 144 nodes (146 at peak, 177 added, 33 deleted).
% 0.39/0.60 ; Retrieved 210 possibly forward subsuming rows in 94 calls.
% 0.39/0.60 ; Retrieved 20 possibly backward subsumed rows in 45 calls.
% 0.39/0.60 ; Path-index has 290 entries (320 at peak, 353 added, 63 deleted).
% 0.39/0.60 ; Path-index has 332 nodes (343 at peak, 370 added, 38 deleted).
% 0.39/0.60 ; Trie-index has 290 entries (320 at peak, 353 added, 63 deleted).
% 0.39/0.60 ; Trie-index has 309 nodes (342 at peak, 377 added, 68 deleted).
% 0.39/0.60 ; Retrieved 7,279 generalization terms in 3,078 calls.
% 0.39/0.60 ; Retrieved 140 instance terms in 104 calls.
% 0.39/0.60 ; Retrieved 1,916 unifiable terms in 447 calls.
% 0.39/0.60 ;
% 0.39/0.60 ; The agenda of backward simplifiable rows to process has 11 entries:
% 0.39/0.60 ; 11 with value 0
% 0.39/0.60 ; The agenda of rows to process has 7 entries:
% 0.39/0.60 ; 6 with value 13 1 with value 17
% 0.39/0.60 ; The agenda of rows to give has 68 entries:
% 0.39/0.60 ; 1 with value (4 7) 4 with value (4 17) 2 with value (4 39)
% 0.39/0.60 ; 1 with value (4 9) 2 with value (4 18) 2 with value (4 41)
% 0.39/0.60 ; 16 with value (4 11) 5 with value (4 20) 2 with value (4 51)
% 0.39/0.60 ; 4 with value (4 12) 1 with value (4 21) 1 with value (4 59)
% 0.39/0.60 ; 3 with value (4 13) 4 with value (4 24) 1 with value (4 61)
% 0.39/0.60 ; 2 with value (4 15) 6 with value (4 28) 2 with value (4 79)
% 0.39/0.60 ; 4 with value (4 16) 4 with value (4 38) 1 with value (4 107)
% 0.39/0.60 Evaluation took:
% 0.39/0.60 0.122 seconds of real time
% 0.39/0.60 0.112533 seconds of user run time
% 0.39/0.60 0.010151 seconds of system run time
% 0.39/0.60 0 calls to %EVAL
% 0.39/0.60 0 page faults and
% 0.39/0.60 8,394,296 bytes consed.
% 0.39/0.60 :PROOF-FOUND
% 0.39/0.60 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T09:14:18
% 0.39/0.60 :PROOF-FOUND
% 0.39/0.60 *
%------------------------------------------------------------------------------