TSTP Solution File: KLE035+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE035+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 02:26:19 EDT 2022
% Result : Theorem 0.21s 0.53s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 10 ( 9 unt; 0 nHn; 7 RR)
% Number of literals : 11 ( 5 equ; 3 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
addition(X,zero) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_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(11,axiom,
( ~ leq(X,Y)
| addition(X,Y) = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(26,negated_conjecture,
leq(multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV2'),c('SKOLEMAAAV5')),zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(27,negated_conjecture,
leq(multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV3'),c('SKOLEMAAAV5')),zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(28,negated_conjecture,
~ leq(multiplication(multiplication('SKOLEMAAAV4',addition('SKOLEMAAAV2','SKOLEMAAAV3')),c('SKOLEMAAAV5')),zero),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(29,plain,
~ leq(addition(multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV2'),c('SKOLEMAAAV5')),multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV3'),c('SKOLEMAAAV5'))),zero),
inference('REWRITE',[status(thm)],[28,8,7,theory(equality)]) ).
cnf(39,plain,
multiplication(multiplication('SKOLEMAAAV4','SKOLEMAAAV2'),c('SKOLEMAAAV5')) = zero,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,26]),1,theory(equality)]) ).
cnf(40,plain,
$false,
inference('REWRITE',[status(thm)],[29,27,1,39,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : KLE035+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n020.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 16 10:39:04 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T10:39:04
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-06-16T10:39:04
% 0.21/0.50
% 0.21/0.51 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.21/0.51 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.21/0.51 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.21/0.51 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.21/0.51 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.21/0.51 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.21/0.51 ; Declaring addition to be commutative.
% 0.21/0.53 ; Declaring addition to be associative-commutative.
% 0.21/0.53
% 0.21/0.53 #||
% 0.21/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.53 % SZS output start Refutation
% See solution above
% 0.21/0.53 ||#
% 0.21/0.53
% 0.21/0.53 ; Summary of computation:
% 0.21/0.53 ; 93 formulas have been input or derived (from 19 formulas).
% 0.21/0.53 ; 40 (43%) were retained. Of these,
% 0.21/0.53 ; 3 ( 8%) were simplified or subsumed later,
% 0.21/0.53 ; 37 (92%) are still being kept.
% 0.21/0.53 ;
% 0.21/0.53 ; Run time in seconds excluding printing time:
% 0.21/0.54 ; 0.006 14% Read assertion file (1 call)
% 0.21/0.54 ; 0.001 2% Assert (19 calls)
% 0.21/0.54 ; 0.006 14% Process new row (87 calls)
% 0.21/0.54 ; 0.000 0% Resolution (36 calls)
% 0.21/0.54 ; 0.003 7% Paramodulation (18 calls)
% 0.21/0.54 ; 0.000 0% Factoring (1 call)
% 0.21/0.54 ; 0.000 0% Embedding (4 calls)
% 0.21/0.54 ; 0.002 5% Condensing (37 calls)
% 0.21/0.54 ; 0.000 0% Forward subsumption (37 calls)
% 0.21/0.54 ; 0.000 0% Backward subsumption (17 calls)
% 0.21/0.54 ; 0.001 2% Clause clause subsumption (31 calls)
% 0.21/0.54 ; 0.004 9% Forward simplification (86 calls)
% 0.21/0.54 ; 0.000 0% Backward simplification (38 calls)
% 0.21/0.54 ; 0.000 0% Ordering (71 calls)
% 0.21/0.54 ; 0.000 0% Ordering ac (5 calls)
% 0.21/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.54 ; 0.000 0% Purity testing (1 call)
% 0.21/0.54 ; 0.021 48% Other
% 0.21/0.54 ; 0.044 Total
% 0.21/0.54 ; 0.046 Real time
% 0.21/0.54 ;
% 0.21/0.54 ; Term-hash-array has 75 terms in all.
% 0.21/0.54 ; Feature-vector-row-index has 17 entries (17 at peak, 17 added, 0 deleted).
% 0.21/0.54 ; Feature-vector-row-index has 57 nodes (57 at peak, 57 added, 0 deleted).
% 0.21/0.54 ; Retrieved 48 possibly forward subsuming rows in 37 calls.
% 0.21/0.54 ; Retrieved 1 possibly backward subsumed row in 17 calls.
% 0.21/0.54 ; Path-index has 78 entries (81 at peak, 81 added, 3 deleted).
% 0.21/0.54 ; Path-index has 165 nodes (174 at peak, 174 added, 9 deleted).
% 0.21/0.54 ; Trie-index has 78 entries (81 at peak, 81 added, 3 deleted).
% 0.21/0.54 ; Trie-index has 137 nodes (142 at peak, 142 added, 5 deleted).
% 0.21/0.54 ; Retrieved 309 generalization terms in 277 calls.
% 0.21/0.54 ; Retrieved 28 instance terms in 22 calls.
% 0.21/0.54 ; Retrieved 260 unifiable terms in 79 calls.
% 0.21/0.54 ;
% 0.21/0.54 ; The agenda of input rows to give has 9 entries:
% 0.21/0.54 ; 1 with value 11 1 with value 14 2 with value 19
% 0.21/0.54 ; 2 with value 13 2 with value 16 1 with value 25
% 0.21/0.54 ; The agenda of rows to give has 10 entries:
% 0.21/0.54 ; 2 with value (4 5) 1 with value (4 9) 1 with value (4 15)
% 0.21/0.54 ; 2 with value (4 7) 1 with value (4 12) 1 with value (4 21)
% 0.21/0.54 ; 1 with value (4 8) 1 with value (4 13)
% 0.21/0.54 Evaluation took:
% 0.21/0.54 0.046 seconds of real time
% 0.21/0.54 0.043904 seconds of user run time
% 0.21/0.54 0.002177 seconds of system run time
% 0.21/0.54 0 calls to %EVAL
% 0.21/0.54 0 page faults and
% 0.21/0.54 2,899,024 bytes consed.
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T10:39:04
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 *
%------------------------------------------------------------------------------