TSTP Solution File: KLE022+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE022+2 : 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 02:26:12 EDT 2022
% Result : Theorem 0.39s 0.58s
% Output : Refutation 0.39s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 12
% Syntax : Number of clauses : 22 ( 14 unt; 0 nHn; 16 RR)
% Number of literals : 33 ( 17 equ; 12 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 21 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox/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/sandbox/benchmark/Axioms/KLE001+0.ax',right_distributivity) ).
cnf(12,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(13,axiom,
( ~ test(X)
| complement('SKOLEMAAAV1'(X),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(20,axiom,
( ~ test(X)
| c(X) = Y
| ~ complement(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+1.ax',test_3) ).
cnf(22,negated_conjecture,
test('SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(23,negated_conjecture,
( ~ leq('SKOLEMAAAV2',addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV3'),multiplication('SKOLEMAAAV2',c('SKOLEMAAAV3'))))
| ~ leq(addition(multiplication('SKOLEMAAAV2','SKOLEMAAAV3'),multiplication('SKOLEMAAAV2',c('SKOLEMAAAV3'))),'SKOLEMAAAV2') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(24,plain,
complement('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[13,22]) ).
cnf(27,plain,
leq(X,X),
inference('HYPERRESOLVE',[status(thm)],[12,2]) ).
cnf(74,plain,
addition('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = one,
inference('HYPERRESOLVE',[status(thm)],[17,24]) ).
cnf(76,plain,
multiplication('SKOLEMAAAV1'('SKOLEMAAAV3'),'SKOLEMAAAV3') = zero,
inference('HYPERRESOLVE',[status(thm)],[16,24]) ).
cnf(77,plain,
multiplication('SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3')) = zero,
inference('HYPERRESOLVE',[status(thm)],[15,24]) ).
cnf(98,plain,
X = addition(multiplication(X,'SKOLEMAAAV1'('SKOLEMAAAV3')),multiplication(X,'SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,74,theory(equality)]),5,theory(equality)]) ).
cnf(100,plain,
complement('SKOLEMAAAV3','SKOLEMAAAV1'('SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[18,74,theory(equality)]),77,76,theory(equality)]) ).
cnf(106,plain,
c('SKOLEMAAAV3') = 'SKOLEMAAAV1'('SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[20,100,22]) ).
cnf(114,plain,
X = addition(multiplication(X,c('SKOLEMAAAV3')),multiplication(X,'SKOLEMAAAV3')),
inference('REWRITE',[status(thm)],[98,106,theory(equality)]) ).
cnf(116,plain,
$false,
inference('REWRITE',[status(thm)],[23,27,114,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KLE022+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n003.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 13:44:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T13:44:57
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-06-16T13:44:57
% 0.18/0.48
% 0.18/0.48 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.18/0.48 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.18/0.48 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.18/0.48 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.18/0.48 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.18/0.48 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.18/0.48 ; Declaring addition to be commutative.
% 0.39/0.58 ; Declaring addition to be associative-commutative.
% 0.39/0.58
% 0.39/0.58 #||
% 0.39/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.58 % SZS output start Refutation
% See solution above
% 0.39/0.58 ||#
% 0.39/0.58
% 0.39/0.58 ; Summary of computation:
% 0.39/0.58 ; 506 formulas have been input or derived (from 47 formulas).
% 0.39/0.58 ; 116 (23%) were retained. Of these,
% 0.39/0.58 ; 25 (22%) were simplified or subsumed later,
% 0.39/0.58 ; 91 (78%) are still being kept.
% 0.39/0.58 ;
% 0.39/0.58 ; Run time in seconds excluding printing time:
% 0.39/0.58 ; 0.004 3% Read assertion file (1 call)
% 0.39/0.58 ; 0.000 0% Assert (17 calls)
% 0.39/0.58 ; 0.009 8% Process new row (447 calls)
% 0.39/0.58 ; 0.008 7% Resolution (92 calls)
% 0.39/0.58 ; 0.008 7% Paramodulation (46 calls)
% 0.39/0.58 ; 0.000 0% Factoring (1 call)
% 0.39/0.58 ; 0.000 0% Embedding (16 calls)
% 0.39/0.58 ; 0.025 22% Condensing (94 calls)
% 0.39/0.58 ; 0.002 2% Forward subsumption (94 calls)
% 0.39/0.58 ; 0.002 2% Backward subsumption (45 calls)
% 0.39/0.58 ; 0.003 3% Clause clause subsumption (155 calls)
% 0.39/0.58 ; 0.024 21% Forward simplification (424 calls)
% 0.39/0.58 ; 0.002 2% Backward simplification (103 calls)
% 0.39/0.58 ; 0.000 0% Ordering (341 calls)
% 0.39/0.58 ; 0.002 2% Ordering ac (37 calls)
% 0.39/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.39/0.58 ; 0.000 0% Purity testing (1 call)
% 0.39/0.58 ; 0.026 23% Other
% 0.39/0.58 ; 0.115 Total
% 0.39/0.58 ; 0.117 Real time
% 0.39/0.58 ;
% 0.39/0.58 ; Term-hash-array has 288 terms in all.
% 0.39/0.58 ; Feature-vector-row-index has 39 entries (40 at peak, 45 added, 6 deleted).
% 0.39/0.58 ; Feature-vector-row-index has 136 nodes (154 at peak, 187 added, 51 deleted).
% 0.39/0.58 ; Retrieved 210 possibly forward subsuming rows in 94 calls.
% 0.39/0.58 ; Retrieved 20 possibly backward subsumed rows in 45 calls.
% 0.39/0.58 ; Path-index has 246 entries (266 at peak, 297 added, 51 deleted).
% 0.39/0.58 ; Path-index has 274 nodes (289 at peak, 314 added, 40 deleted).
% 0.39/0.58 ; Trie-index has 246 entries (266 at peak, 297 added, 51 deleted).
% 0.39/0.58 ; Trie-index has 250 nodes (276 at peak, 307 added, 57 deleted).
% 0.39/0.58 ; Retrieved 6,775 generalization terms in 2,851 calls.
% 0.39/0.58 ; Retrieved 101 instance terms in 75 calls.
% 0.39/0.58 ; Retrieved 1,551 unifiable terms in 371 calls.
% 0.39/0.58 ;
% 0.39/0.58 ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.39/0.58 ; 3 with value 0
% 0.39/0.58 ; The agenda of rows to process has 7 entries:
% 0.39/0.58 ; 6 with value 13 1 with value 17
% 0.39/0.58 ; The agenda of rows to give has 51 entries:
% 0.39/0.58 ; 1 with value (4 7) 4 with value (4 17) 2 with value (4 41)
% 0.39/0.58 ; 1 with value (4 9) 1 with value (4 18) 2 with value (4 51)
% 0.39/0.58 ; 8 with value (4 11) 5 with value (4 20) 1 with value (4 59)
% 0.39/0.58 ; 2 with value (4 12) 1 with value (4 21) 1 with value (4 61)
% 0.39/0.58 ; 3 with value (4 13) 6 with value (4 28) 2 with value (4 79)
% 0.39/0.58 ; 2 with value (4 15) 4 with value (4 38) 1 with value (4 107)
% 0.39/0.58 ; 2 with value (4 16) 2 with value (4 39)
% 0.39/0.58 Evaluation took:
% 0.39/0.58 0.118 seconds of real time
% 0.39/0.58 0.103427 seconds of user run time
% 0.39/0.58 0.014562 seconds of system run time
% 0.39/0.58 0 calls to %EVAL
% 0.39/0.58 0 page faults and
% 0.39/0.58 7,710,664 bytes consed.
% 0.39/0.58 :PROOF-FOUND
% 0.39/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T13:44:57
% 0.39/0.58 :PROOF-FOUND
% 0.39/0.58 *
%------------------------------------------------------------------------------