TSTP Solution File: KLE063+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE063+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 02:26:28 EDT 2022
% Result : Theorem 0.55s 0.77s
% Output : Refutation 0.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 13
% Syntax : Number of clauses : 28 ( 26 unt; 0 nHn; 9 RR)
% Number of literals : 30 ( 23 equ; 4 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 36 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
addition(X,X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',additive_idempotence) ).
cnf(3,plain,
addition(X,addition(X,Y)) = addition(X,Y),
inference('EMBED',[status(thm)],[2]) ).
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(11,axiom,
( ~ leq(X,Y)
| addition(X,Y) = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(12,axiom,
( leq(X,Y)
| addition(X,Y) != Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+0.ax',order) ).
cnf(13,axiom,
addition(X,multiplication(domain(X),X)) = multiplication(domain(X),X),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain1) ).
cnf(14,plain,
addition(X,addition(multiplication(domain(X),X),Y)) = addition(multiplication(domain(X),X),Y),
inference('EMBED',[status(thm)],[13]) ).
cnf(15,axiom,
domain(multiplication(X,Y)) = domain(multiplication(X,domain(Y))),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain2) ).
cnf(16,axiom,
addition(domain(X),one) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain3) ).
cnf(19,axiom,
domain(addition(X,Y)) = addition(domain(X),domain(Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+5.ax',domain5) ).
cnf(21,negated_conjecture,
addition('SKOLEMAAAU1',multiplication(domain('SKOLEMAAAU2'),'SKOLEMAAAU1')) = multiplication(domain('SKOLEMAAAU2'),'SKOLEMAAAU1'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(22,plain,
addition('SKOLEMAAAU1',addition(multiplication(domain('SKOLEMAAAU2'),'SKOLEMAAAU1'),X)) = addition(multiplication(domain('SKOLEMAAAU2'),'SKOLEMAAAU1'),X),
inference('EMBED',[status(thm)],[21]) ).
cnf(23,negated_conjecture,
addition(domain('SKOLEMAAAU1'),domain('SKOLEMAAAU2')) != domain('SKOLEMAAAU2'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(24,plain,
domain(addition('SKOLEMAAAU1','SKOLEMAAAU2')) != domain('SKOLEMAAAU2'),
inference('REWRITE',[status(thm)],[23,19,theory(equality)]) ).
cnf(28,plain,
leq(X,addition(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[12,3]) ).
cnf(48,plain,
domain(X) = domain(domain(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[15,6,theory(equality)]),6,theory(equality)]) ).
cnf(109,plain,
multiplication(domain(multiplication(domain('SKOLEMAAAU2'),'SKOLEMAAAU1')),multiplication(domain('SKOLEMAAAU2'),'SKOLEMAAAU1')) = addition(multiplication(domain(multiplication(domain('SKOLEMAAAU2'),'SKOLEMAAAU1')),multiplication(domain('SKOLEMAAAU2'),'SKOLEMAAAU1')),'SKOLEMAAAU1'),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[14,22,theory(equality)]),13,theory(equality)]) ).
cnf(113,plain,
X = addition(X,multiplication(X,domain(Y))),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[7,16,theory(equality)]),5,theory(equality)]) ).
cnf(129,plain,
X = addition(X,multiplication(domain(Y),X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,16,theory(equality)]),6,theory(equality)]) ).
cnf(167,plain,
multiplication(domain(X),X) = X,
inference('REWRITE',[status(thm)],[13,129,theory(equality)]) ).
cnf(168,plain,
multiplication(domain('SKOLEMAAAU2'),'SKOLEMAAAU1') = 'SKOLEMAAAU1',
inference('REWRITE',[status(thm)],[109,129,167,theory(equality)]) ).
cnf(187,plain,
leq(domain(X),domain(addition(X,Y))),
inference('PARAMODULATE',[status(thm)],[28,19,theory(equality)]) ).
cnf(199,plain,
leq(domain(multiplication(X,Y)),domain(X)),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[187,113,theory(equality)]),15,theory(equality)]) ).
cnf(258,plain,
leq(domain('SKOLEMAAAU1'),domain('SKOLEMAAAU2')),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[199,168,theory(equality)]),48,theory(equality)]) ).
cnf(265,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,258]),24,19,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : KLE063+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n017.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 10:47:40 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T10:47:41
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-06-16T10:47:41
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|addition| ?X ?Y) (|addition| ?Y ?X)).
% 0.19/0.49 ; Recognized associativity assertion (= (|addition| ?X (|addition| ?Y ?Z)) (|addition| (|addition| ?X ?Y) ?Z)).
% 0.19/0.49 ; Recognized right identity assertion (= (|addition| ?X |zero|) ?X).
% 0.19/0.49 ; Recognized associativity assertion (= (|multiplication| ?X (|multiplication| ?Y ?Z)) (|multiplication| (|multiplication| ?X ?Y) ?Z)).
% 0.19/0.49 ; Recognized right identity assertion (= (|multiplication| ?X |one|) ?X).
% 0.19/0.49 ; Recognized left identity assertion (= (|multiplication| |one| ?X) ?X).
% 0.19/0.49 ; Declaring addition to be commutative.
% 0.55/0.77 ; Declaring addition to be associative-commutative.
% 0.55/0.77
% 0.55/0.77 #||
% 0.55/0.77 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.55/0.77 % SZS output start Refutation
% See solution above
% 0.55/0.77 ||#
% 0.55/0.77
% 0.55/0.77 ; Summary of computation:
% 0.55/0.77 ; 1382 formulas have been input or derived (from 47 formulas).
% 0.55/0.77 ; 265 (19%) were retained. Of these,
% 0.55/0.77 ; 125 (47%) were simplified or subsumed later,
% 0.55/0.77 ; 140 (53%) are still being kept.
% 0.55/0.77 ;
% 0.55/0.77 ; Run time in seconds excluding printing time:
% 0.55/0.77 ; 0.004 1% Read assertion file (1 call)
% 0.55/0.77 ; 0.002 1% Assert (18 calls)
% 0.55/0.77 ; 0.034 12% Process new row (1,333 calls)
% 0.55/0.77 ; 0.005 2% Resolution (92 calls)
% 0.55/0.77 ; 0.022 7% Paramodulation (46 calls)
% 0.55/0.77 ; 0.004 1% Embedding (71 calls)
% 0.55/0.77 ; 0.011 4% Condensing (132 calls)
% 0.55/0.77 ; 0.007 2% Forward subsumption (132 calls)
% 0.55/0.77 ; 0.003 1% Backward subsumption (52 calls)
% 0.55/0.77 ; 0.001 0% Clause clause subsumption (313 calls)
% 0.55/0.77 ; 0.133 45% Forward simplification (1,240 calls)
% 0.55/0.77 ; 0.020 7% Backward simplification (202 calls)
% 0.55/0.77 ; 0.004 1% Ordering (1,389 calls)
% 0.55/0.77 ; 0.014 5% Ordering ac (648 calls)
% 0.55/0.77 ; 0.000 0% Sortal reasoning (32 calls)
% 0.55/0.77 ; 0.000 0% Purity testing (1 call)
% 0.55/0.77 ; 0.031 11% Other
% 0.55/0.77 ; 0.295 Total
% 0.55/0.77 ; 0.298 Real time
% 0.55/0.77 ;
% 0.55/0.77 ; Term-hash-array has 688 terms in all.
% 0.55/0.77 ; Feature-vector-row-index has 27 entries (33 at peak, 52 added, 25 deleted).
% 0.55/0.77 ; Feature-vector-row-index has 129 nodes (338 at peak, 460 added, 331 deleted).
% 0.55/0.77 ; Retrieved 423 possibly forward subsuming rows in 132 calls.
% 0.55/0.77 ; Retrieved 19 possibly backward subsumed rows in 52 calls.
% 0.55/0.77 ; Path-index has 355 entries (385 at peak, 756 added, 401 deleted).
% 0.55/0.77 ; Path-index has 454 nodes (454 at peak, 617 added, 163 deleted).
% 0.55/0.77 ; Trie-index has 355 entries (385 at peak, 756 added, 401 deleted).
% 0.55/0.77 ; Trie-index has 435 nodes (435 at peak, 582 added, 147 deleted).
% 0.55/0.77 ; Retrieved 80,016 generalization terms in 12,596 calls.
% 0.55/0.77 ; Retrieved 840 instance terms in 176 calls.
% 0.55/0.77 ; Retrieved 1,936 unifiable terms in 259 calls.
% 0.55/0.77 ;
% 0.55/0.77 ; The agenda of rows to give has 97 entries:
% 0.55/0.77 ; 2 with value (4 13) 6 with value (4 19) 1 with value (4 25)
% 0.55/0.77 ; 1 with value (4 14) 13 with value (4 20) 1 with value (4 26)
% 0.55/0.77 ; 9 with value (4 15) 20 with value (4 21) 2 with value (4 27)
% 0.55/0.77 ; 6 with value (4 16) 1 with value (4 22) 8 with value (4 28)
% 0.55/0.77 ; 7 with value (4 17) 1 with value (4 23) 1 with value (4 30)
% 0.55/0.77 ; 13 with value (4 18) 3 with value (4 24) 2 with value (4 32)
% 0.55/0.77 Evaluation took:
% 0.55/0.77 0.298 seconds of real time
% 0.55/0.77 0.273895 seconds of user run time
% 0.55/0.77 0.02385 seconds of system run time
% 0.55/0.77 [Run times include 0.004 seconds GC run time.]
% 0.55/0.77 0 calls to %EVAL
% 0.55/0.77 0 page faults and
% 0.55/0.77 19,759,136 bytes consed.
% 0.55/0.77 :PROOF-FOUND
% 0.55/0.77 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T10:47:41
% 0.55/0.77 :PROOF-FOUND
% 0.55/0.77 *
%------------------------------------------------------------------------------