TSTP Solution File: KLE071+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE071+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 02:26:30 EDT 2022
% Result : Theorem 0.49s 0.69s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 20 ( 20 unt; 0 nHn; 5 RR)
% Number of literals : 20 ( 19 equ; 4 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 27 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
multiplication(X,one) = X,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+0.ax',multiplicative_right_identity) ).
cnf(6,axiom,
multiplication(one,X) = X,
file('/export/starexec/sandbox/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/sandbox/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/sandbox/benchmark/Axioms/KLE001+0.ax',left_distributivity) ).
cnf(13,axiom,
addition(X,multiplication(domain(X),X)) = multiplication(domain(X),X),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain1) ).
cnf(15,axiom,
domain(multiplication(X,Y)) = domain(multiplication(X,domain(Y))),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain2) ).
cnf(16,axiom,
addition(domain(X),one) = one,
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain3) ).
cnf(19,axiom,
domain(addition(X,Y)) = addition(domain(X),domain(Y)),
file('/export/starexec/sandbox/benchmark/Axioms/KLE001+5.ax',domain5) ).
cnf(21,negated_conjecture,
addition(domain('SKOLEMAAAV1'),multiplication(domain('SKOLEMAAAV2'),domain('SKOLEMAAAV3'))) != multiplication(addition(domain('SKOLEMAAAV1'),domain('SKOLEMAAAV2')),addition(domain('SKOLEMAAAV1'),domain('SKOLEMAAAV3'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',goals) ).
cnf(22,plain,
addition(domain('SKOLEMAAAV1'),multiplication(domain('SKOLEMAAAV2'),domain('SKOLEMAAAV3'))) != multiplication(domain(addition('SKOLEMAAAV1','SKOLEMAAAV2')),domain(addition('SKOLEMAAAV1','SKOLEMAAAV3'))),
inference('REWRITE',[status(thm)],[21,19,theory(equality)]) ).
cnf(46,plain,
domain(X) = domain(domain(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15,6,theory(equality)]),6,theory(equality)]) ).
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,
multiplication(X,domain(addition(Y,Z))) = addition(multiplication(X,domain(Y)),multiplication(X,domain(Z))),
inference('PARAMODULATE',[status(thm)],[7,19,theory(equality)]) ).
cnf(105,plain,
addition(domain('SKOLEMAAAV1'),multiplication(domain('SKOLEMAAAV2'),domain('SKOLEMAAAV3'))) != addition(multiplication(domain(addition('SKOLEMAAAV1','SKOLEMAAAV2')),domain('SKOLEMAAAV1')),multiplication(domain(addition('SKOLEMAAAV1','SKOLEMAAAV2')),domain('SKOLEMAAAV3'))),
inference('REWRITE',[status(thm)],[22,102,theory(equality)]) ).
cnf(114,plain,
X = addition(X,multiplication(domain(Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,16,theory(equality)]),6,theory(equality)]) ).
cnf(148,plain,
multiplication(domain(X),X) = X,
inference('REWRITE',[status(thm)],[13,114,theory(equality)]) ).
cnf(155,plain,
multiplication(domain(addition(X,Y)),Z) = addition(multiplication(domain(X),Z),multiplication(domain(Y),Z)),
inference('PARAMODULATE',[status(thm)],[8,19,theory(equality)]) ).
cnf(160,plain,
addition(domain('SKOLEMAAAV1'),multiplication(domain('SKOLEMAAAV2'),domain('SKOLEMAAAV3'))) != addition(multiplication(domain('SKOLEMAAAV1'),domain('SKOLEMAAAV1')),addition(multiplication(domain('SKOLEMAAAV2'),domain('SKOLEMAAAV1')),addition(multiplication(domain('SKOLEMAAAV1'),domain('SKOLEMAAAV3')),multiplication(domain('SKOLEMAAAV2'),domain('SKOLEMAAAV3'))))),
inference('REWRITE',[status(thm)],[105,155,theory(equality)]) ).
cnf(172,plain,
multiplication(domain(X),domain(X)) = domain(X),
inference('PARAMODULATE',[status(thm)],[148,46,theory(equality)]) ).
cnf(173,plain,
$false,
inference('REWRITE',[status(thm)],[160,99,114,172,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : KLE071+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n015.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 12:42:11 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.20/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.49 *
% 0.20/0.49 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T12:42:11
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-16T12:42:11
% 0.20/0.51
% 0.20/0.51 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.20/0.51 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.20/0.51 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.20/0.51 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.20/0.51 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.20/0.51 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.20/0.51 ; Declaring addition to be commutative.
% 0.49/0.69 ; Declaring addition to be associative-commutative.
% 0.49/0.69
% 0.49/0.69 #||
% 0.49/0.69 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.69 % SZS output start Refutation
% See solution above
% 0.49/0.69 ||#
% 0.49/0.69
% 0.49/0.69 ; Summary of computation:
% 0.49/0.69 ; 666 formulas have been input or derived (from 31 formulas).
% 0.49/0.69 ; 173 (26%) were retained. Of these,
% 0.49/0.69 ; 102 (59%) were simplified or subsumed later,
% 0.49/0.69 ; 71 (41%) are still being kept.
% 0.49/0.69 ;
% 0.49/0.69 ; Run time in seconds excluding printing time:
% 0.49/0.69 ; 0.004 2% Read assertion file (1 call)
% 0.49/0.69 ; 0.001 1% Assert (18 calls)
% 0.49/0.69 ; 0.018 9% Process new row (636 calls)
% 0.49/0.69 ; 0.002 1% Resolution (60 calls)
% 0.49/0.69 ; 0.013 7% Paramodulation (30 calls)
% 0.49/0.69 ; 0.005 3% Embedding (51 calls)
% 0.49/0.69 ; 0.007 4% Condensing (80 calls)
% 0.49/0.69 ; 0.004 2% Forward subsumption (80 calls)
% 0.49/0.69 ; 0.001 1% Backward subsumption (34 calls)
% 0.49/0.69 ; 0.002 1% Clause clause subsumption (185 calls)
% 0.49/0.69 ; 0.077 40% Forward simplification (574 calls)
% 0.49/0.69 ; 0.019 10% Backward simplification (130 calls)
% 0.49/0.69 ; 0.005 3% Ordering (905 calls)
% 0.49/0.69 ; 0.008 4% Ordering ac (545 calls)
% 0.49/0.69 ; 0.000 0% Sortal reasoning (32 calls)
% 0.49/0.69 ; 0.000 0% Purity testing (1 call)
% 0.49/0.69 ; 0.026 14% Other
% 0.49/0.69 ; 0.192 Total
% 0.49/0.69 ; 0.200 Real time
% 0.49/0.69 ;
% 0.49/0.69 ; Term-hash-array has 483 terms in all.
% 0.49/0.69 ; Feature-vector-row-index has 15 entries (27 at peak, 34 added, 19 deleted).
% 0.49/0.69 ; Feature-vector-row-index has 89 nodes (226 at peak, 308 added, 219 deleted).
% 0.49/0.69 ; Retrieved 220 possibly forward subsuming rows in 80 calls.
% 0.49/0.69 ; Retrieved 7 possibly backward subsumed rows in 34 calls.
% 0.49/0.69 ; Path-index has 196 entries (346 at peak, 559 added, 363 deleted).
% 0.49/0.69 ; Path-index has 344 nodes (407 at peak, 517 added, 173 deleted).
% 0.49/0.69 ; Trie-index has 196 entries (346 at peak, 559 added, 363 deleted).
% 0.49/0.69 ; Trie-index has 276 nodes (310 at peak, 413 added, 137 deleted).
% 0.49/0.69 ; Retrieved 36,389 generalization terms in 6,927 calls.
% 0.49/0.69 ; Retrieved 717 instance terms in 122 calls.
% 0.49/0.69 ; Retrieved 913 unifiable terms in 161 calls.
% 0.49/0.69 ;
% 0.49/0.69 ; The agenda of rows to process has 4 entries:
% 0.49/0.69 ; 1 with value 16 3 with value 17
% 0.49/0.69 ; The agenda of rows to give has 43 entries:
% 0.49/0.69 ; 1 with value (4 11) 2 with value (4 18) 1 with value (4 24)
% 0.49/0.69 ; 1 with value (4 12) 2 with value (4 19) 1 with value (4 25)
% 0.49/0.69 ; 7 with value (4 13) 7 with value (4 20) 1 with value (4 26)
% 0.49/0.69 ; 1 with value (4 14) 4 with value (4 21) 6 with value (4 28)
% 0.49/0.69 ; 4 with value (4 15) 1 with value (4 23) 1 with value (4 30)
% 0.49/0.69 ; 3 with value (4 17)
% 0.49/0.69 Evaluation took:
% 0.49/0.69 0.2 seconds of real time
% 0.49/0.69 0.18694 seconds of user run time
% 0.49/0.69 0.012907 seconds of system run time
% 0.49/0.69 [Run times include 0.006 seconds GC run time.]
% 0.49/0.69 0 calls to %EVAL
% 0.49/0.69 0 page faults and
% 0.49/0.69 13,937,160 bytes consed.
% 0.49/0.69 :PROOF-FOUND
% 0.49/0.69 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-16T12:42:11
% 0.49/0.69 :PROOF-FOUND
% 0.49/0.69 *
%------------------------------------------------------------------------------