TSTP Solution File: KLE070+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE070+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 02:26:29 EDT 2022
% Result : Theorem 0.21s 0.57s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 6 unt; 0 nHn; 2 RR)
% Number of literals : 6 ( 5 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
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(16,axiom,
addition(domain(X),one) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain3) ).
cnf(21,negated_conjecture,
addition(domain('SKOLEMAAAV1'),multiplication(domain('SKOLEMAAAV1'),domain('SKOLEMAAAV2'))) != domain('SKOLEMAAAV1'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(99,plain,
X = addition(X,multiplication(X,domain(Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,16,theory(equality)]),5,theory(equality)]) ).
cnf(102,plain,
$false,
inference('REWRITE',[status(thm)],[21,99,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE070+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.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 12:05:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T12:05:54
% 0.21/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-16T12:05:54
% 0.21/0.49
% 0.21/0.49 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.21/0.49 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.21/0.49 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.21/0.49 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.21/0.49 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.21/0.49 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.21/0.49 ; Declaring addition to be commutative.
% 0.21/0.57 ; Declaring addition to be associative-commutative.
% 0.21/0.57
% 0.21/0.57 #||
% 0.21/0.57 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.57 % SZS output start Refutation
% See solution above
% 0.21/0.57 ||#
% 0.21/0.57
% 0.21/0.57 ; Summary of computation:
% 0.21/0.57 ; 370 formulas have been input or derived (from 21 formulas).
% 0.21/0.57 ; 102 (28%) were retained. Of these,
% 0.21/0.57 ; 8 ( 8%) were simplified or subsumed later,
% 0.21/0.57 ; 94 (92%) are still being kept.
% 0.21/0.57 ;
% 0.21/0.57 ; Run time in seconds:
% 0.21/0.57 ; 0.005 5% Read assertion file (1 call)
% 0.21/0.57 ; 0.001 1% Assert (18 calls)
% 0.21/0.57 ; 0.012 12% Process new row (282 calls)
% 0.21/0.57 ; 0.000 0% Resolution (40 calls)
% 0.21/0.57 ; 0.007 7% Paramodulation (20 calls)
% 0.21/0.57 ; 0.001 1% Embedding (23 calls)
% 0.21/0.57 ; 0.000 0% Condensing (65 calls)
% 0.42/0.57 ; 0.002 2% Forward subsumption (65 calls)
% 0.42/0.57 ; 0.002 2% Backward subsumption (29 calls)
% 0.42/0.57 ; 0.003 3% Clause clause subsumption (151 calls)
% 0.42/0.57 ; 0.032 32% Forward simplification (263 calls)
% 0.42/0.57 ; 0.005 5% Backward simplification (83 calls)
% 0.42/0.57 ; 0.003 3% Ordering (491 calls)
% 0.42/0.57 ; 0.004 4% Ordering ac (320 calls)
% 0.42/0.57 ; 0.001 1% Sortal reasoning (32 calls)
% 0.42/0.57 ; 0.000 0% Purity testing (1 call)
% 0.42/0.57 ; 0.023 23% Other
% 0.42/0.57 ; 0.101 Total
% 0.42/0.57 ; 0.101 Real time
% 0.42/0.57 ;
% 0.42/0.57 ; Term-hash-array has 306 terms in all.
% 0.42/0.58 ; Feature-vector-row-index has 27 entries (27 at peak, 29 added, 2 deleted).
% 0.42/0.58 ; Feature-vector-row-index has 226 nodes (226 at peak, 259 added, 33 deleted).
% 0.42/0.58 ; Retrieved 173 possibly forward subsuming rows in 65 calls.
% 0.42/0.58 ; Retrieved 4 possibly backward subsumed rows in 29 calls.
% 0.42/0.58 ; Path-index has 294 entries (298 at peak, 313 added, 19 deleted).
% 0.42/0.58 ; Path-index has 381 nodes (390 at peak, 399 added, 18 deleted).
% 0.42/0.58 ; Trie-index has 294 entries (298 at peak, 313 added, 19 deleted).
% 0.42/0.58 ; Trie-index has 299 nodes (299 at peak, 320 added, 21 deleted).
% 0.42/0.58 ; Retrieved 11,074 generalization terms in 3,063 calls.
% 0.42/0.58 ; Retrieved 248 instance terms in 71 calls.
% 0.42/0.58 ; Retrieved 576 unifiable terms in 105 calls.
% 0.42/0.58 ;
% 0.42/0.58 ; The agenda of rows to process has 77 entries:
% 0.42/0.58 ; 2 with value 19 16 with value 26 2 with value 35
% 0.42/0.58 ; 6 with value 20 2 with value 27 1 with value 36
% 0.42/0.58 ; 3 with value 21 6 with value 28 1 with value 37
% 0.42/0.58 ; 9 with value 22 7 with value 30 4 with value 39
% 0.42/0.58 ; 2 with value 23 6 with value 32 2 with value 43
% 0.42/0.58 ; 8 with value 24
% 0.42/0.58 ; The agenda of input rows to give has 1 entry:
% 0.42/0.58 ; 1 with value 16
% 0.42/0.58 ; The agenda of rows to give has 73 entries:
% 0.42/0.58 ; 2 with value (4 5) 3 with value (4 21) 1 with value (4 45)
% 0.42/0.58 ; 2 with value (4 7) 2 with value (4 23) 1 with value (4 47)
% 0.42/0.58 ; 1 with value (4 8) 3 with value (4 24) 2 with value (4 48)
% 0.42/0.58 ; 2 with value (4 9) 2 with value (4 25) 1 with value (4 51)
% 0.42/0.58 ; 2 with value (4 10) 2 with value (4 26) 2 with value (4 55)
% 0.42/0.58 ; 1 with value (4 12) 1 with value (4 27) 1 with value (4 57)
% 0.42/0.58 ; 4 with value (4 13) 2 with value (4 28) 3 with value (4 63)
% 0.42/0.58 ; 1 with value (4 15) 5 with value (4 30) 3 with value (4 67)
% 0.42/0.58 ; 2 with value (4 17) 1 with value (4 31) 2 with value (4 98)
% 0.42/0.58 ; 2 with value (4 18) 1 with value (4 34) 2 with value (4 150)
% 0.42/0.58 ; 2 with value (4 19) 2 with value (4 35) 2 with value (4 151)
% 0.42/0.58 ; 7 with value (4 20) 1 with value (4 41)
% 0.42/0.58 Evaluation took:
% 0.42/0.58 0.102 seconds of real time
% 0.42/0.58 0.092903 seconds of user run time
% 0.42/0.58 0.008636 seconds of system run time
% 0.42/0.58 0 calls to %EVAL
% 0.42/0.58 0 page faults and
% 0.42/0.58 7,170,712 bytes consed.
% 0.42/0.58 :PROOF-FOUND
% 0.42/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T12:05:54
% 0.42/0.58 :PROOF-FOUND
% 0.42/0.58 *
%------------------------------------------------------------------------------