TSTP Solution File: KLE055+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE055+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 02:26:26 EDT 2022
% Result : Theorem 0.48s 0.69s
% Output : Refutation 0.48s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 12 unt; 0 nHn; 3 RR)
% Number of literals : 12 ( 11 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 14 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',multiplicative_left_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,
addition(X,multiplication(domain(X),X)) = multiplication(domain(X),X),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain1) ).
cnf(16,axiom,
addition(domain(X),one) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain3) ).
cnf(21,negated_conjecture,
addition('SKOLEMAAAV1',one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(23,negated_conjecture,
addition('SKOLEMAAAV1',domain('SKOLEMAAAV1')) != domain('SKOLEMAAAV1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(109,plain,
X = addition(multiplication(X,'SKOLEMAAAV1'),X),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,21,theory(equality)]),5,theory(equality)]) ).
cnf(127,plain,
X = addition(X,multiplication(domain(Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,16,theory(equality)]),6,theory(equality)]) ).
cnf(161,plain,
multiplication(domain(X),X) = X,
inference('REWRITE',[status(thm)],[13,127,theory(equality)]) ).
cnf(189,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[109,161,theory(equality)]),23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE055+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n005.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Thu Jun 16 11:43:53 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T11:43:54
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-06-16T11:43:54
% 0.20/0.48
% 0.20/0.48 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.20/0.49 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.20/0.49 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.20/0.49 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.20/0.49 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.20/0.49 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.20/0.49 ; Declaring addition to be commutative.
% 0.48/0.69 ; Declaring addition to be associative-commutative.
% 0.48/0.69
% 0.48/0.69 #||
% 0.48/0.69 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.48/0.69 % SZS output start Refutation
% See solution above
% 0.48/0.69 ||#
% 0.48/0.69
% 0.48/0.69 ; Summary of computation:
% 0.48/0.69 ; 799 formulas have been input or derived (from 38 formulas).
% 0.48/0.69 ; 189 (24%) were retained. Of these,
% 0.48/0.69 ; 98 (52%) were simplified or subsumed later,
% 0.48/0.69 ; 91 (48%) are still being kept.
% 0.48/0.69 ;
% 0.48/0.69 ; Run time in seconds excluding printing time:
% 0.48/0.69 ; 0.005 2% Read assertion file (1 call)
% 0.48/0.69 ; 0.001 0% Assert (18 calls)
% 0.48/0.69 ; 0.032 15% Process new row (740 calls)
% 0.48/0.69 ; 0.001 0% Resolution (74 calls)
% 0.48/0.69 ; 0.013 6% Paramodulation (37 calls)
% 0.48/0.69 ; 0.005 2% Embedding (54 calls)
% 0.48/0.69 ; 0.004 2% Condensing (90 calls)
% 0.48/0.69 ; 0.004 2% Forward subsumption (90 calls)
% 0.48/0.69 ; 0.000 0% Backward subsumption (40 calls)
% 0.48/0.69 ; 0.000 0% Clause clause subsumption (203 calls)
% 0.48/0.69 ; 0.091 42% Forward simplification (675 calls)
% 0.48/0.69 ; 0.019 9% Backward simplification (144 calls)
% 0.48/0.69 ; 0.007 3% Ordering (985 calls)
% 0.48/0.69 ; 0.007 3% Ordering ac (578 calls)
% 0.48/0.70 ; 0.000 0% Sortal reasoning (32 calls)
% 0.48/0.70 ; 0.000 0% Purity testing (1 call)
% 0.48/0.70 ; 0.030 14% Other
% 0.48/0.70 ; 0.219 Total
% 0.48/0.70 ; 0.225 Real time
% 0.48/0.70 ;
% 0.48/0.70 ; Term-hash-array has 502 terms in all.
% 0.48/0.70 ; Feature-vector-row-index has 21 entries (33 at peak, 40 added, 19 deleted).
% 0.48/0.70 ; Feature-vector-row-index has 138 nodes (275 at peak, 357 added, 219 deleted).
% 0.48/0.70 ; Retrieved 234 possibly forward subsuming rows in 90 calls.
% 0.48/0.70 ; Retrieved 11 possibly backward subsumed rows in 40 calls.
% 0.48/0.70 ; Path-index has 233 entries (366 at peak, 555 added, 322 deleted).
% 0.48/0.70 ; Path-index has 365 nodes (399 at peak, 463 added, 98 deleted).
% 0.48/0.70 ; Trie-index has 233 entries (366 at peak, 555 added, 322 deleted).
% 0.48/0.70 ; Trie-index has 292 nodes (314 at peak, 393 added, 101 deleted).
% 0.48/0.70 ; Retrieved 43,804 generalization terms in 7,467 calls.
% 0.48/0.70 ; Retrieved 709 instance terms in 130 calls.
% 0.48/0.70 ; Retrieved 1,150 unifiable terms in 194 calls.
% 0.48/0.70 ;
% 0.48/0.70 ; The agenda of rows to process has 24 entries:
% 0.48/0.70 ; 1 with value 13 2 with value 20 1 with value 26
% 0.48/0.70 ; 1 with value 16 1 with value 22 4 with value 27
% 0.48/0.70 ; 4 with value 17 2 with value 23 1 with value 30
% 0.48/0.70 ; 5 with value 19 1 with value 25 1 with value 31
% 0.48/0.70 ; The agenda of rows to give has 55 entries:
% 0.48/0.70 ; 1 with value (4 9) 1 with value (4 16) 1 with value (4 23)
% 0.48/0.70 ; 5 with value (4 11) 4 with value (4 17) 1 with value (4 24)
% 0.48/0.70 ; 1 with value (4 12) 2 with value (4 18) 1 with value (4 25)
% 0.48/0.70 ; 8 with value (4 13) 2 with value (4 19) 1 with value (4 26)
% 0.48/0.70 ; 1 with value (4 14) 7 with value (4 20) 6 with value (4 28)
% 0.48/0.70 ; 6 with value (4 15) 6 with value (4 21) 1 with value (4 30)
% 0.48/0.70 Evaluation took:
% 0.48/0.70 0.225 seconds of real time
% 0.48/0.70 0.210153 seconds of user run time
% 0.48/0.70 0.014973 seconds of system run time
% 0.48/0.70 [Run times include 0.005 seconds GC run time.]
% 0.48/0.70 0 calls to %EVAL
% 0.48/0.70 0 page faults and
% 0.48/0.70 13,328,152 bytes consed.
% 0.48/0.70 :PROOF-FOUND
% 0.48/0.70 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T11:43:54
% 0.48/0.70 :PROOF-FOUND
% 0.48/0.70 *
%------------------------------------------------------------------------------