TSTP Solution File: KLE085+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : KLE085+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 02:26:34 EDT 2022
% Result : Theorem 0.35s 0.52s
% Output : Refutation 0.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of clauses : 9 ( 9 unt; 0 nHn; 3 RR)
% Number of literals : 9 ( 8 equ; 2 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 : 8 ( 1 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(16,axiom,
addition(antidomain(antidomain(X)),antidomain(X)) = one,
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain3) ).
cnf(17,plain,
addition(antidomain(antidomain(X)),addition(antidomain(X),Y)) = addition(one,Y),
inference('EMBED',[status(thm)],[16]) ).
cnf(18,axiom,
domain(X) = antidomain(antidomain(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/KLE001+4.ax',domain4) ).
cnf(25,negated_conjecture,
addition(domain('SKOLEMAAAV1'),one) != one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',goals) ).
cnf(26,plain,
addition(antidomain(antidomain('SKOLEMAAAV1')),one) != one,
inference('REWRITE',[status(thm)],[25,18,theory(equality)]) ).
cnf(38,plain,
addition(one,antidomain(X)) = one,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[3,17,theory(equality)]),16,theory(equality)]) ).
cnf(40,plain,
$false,
inference('REWRITE',[status(thm)],[26,38,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : KLE085+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n019.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 15:57:24 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 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 2022-06-16T15:57:24
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-16T15:57:24
% 0.20/0.49
% 0.20/0.49 ; 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 ; Recognized possible left inverse assertion (= (|multiplication| (|antidomain| ?X) ?X) |zero|).
% 0.20/0.49 ; Recognized possible right inverse assertion (= (|multiplication| ?X (|coantidomain| ?X)) |zero|).
% 0.20/0.49 ; Declaring addition to be commutative.
% 0.35/0.52 ; Declaring addition to be associative-commutative.
% 0.35/0.52
% 0.35/0.52 #||
% 0.35/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.35/0.52 % SZS output start Refutation
% See solution above
% 0.35/0.52 ||#
% 0.35/0.52
% 0.35/0.52 ; Summary of computation:
% 0.35/0.52 ; 119 formulas have been input or derived (from 17 formulas).
% 0.35/0.52 ; 40 (34%) were retained. Of these,
% 0.35/0.52 ; 2 ( 5%) were simplified or subsumed later,
% 0.35/0.52 ; 38 (95%) are still being kept.
% 0.35/0.52 ;
% 0.35/0.52 ; Run time in seconds:
% 0.35/0.52 ; 0.005 11% Read assertion file (1 call)
% 0.35/0.52 ; 0.001 2% Assert (21 calls)
% 0.35/0.52 ; 0.004 9% Process new row (92 calls)
% 0.35/0.52 ; 0.001 2% Resolution (32 calls)
% 0.35/0.52 ; 0.004 9% Paramodulation (16 calls)
% 0.35/0.52 ; 0.000 0% Embedding (9 calls)
% 0.35/0.52 ; 0.003 7% Condensing (27 calls)
% 0.35/0.52 ; 0.000 0% Forward subsumption (27 calls)
% 0.35/0.52 ; 0.000 0% Backward subsumption (7 calls)
% 0.35/0.52 ; 0.000 0% Clause clause subsumption (30 calls)
% 0.35/0.52 ; 0.006 13% Forward simplification (86 calls)
% 0.35/0.52 ; 0.000 0% Backward simplification (33 calls)
% 0.35/0.52 ; 0.000 0% Ordering (116 calls)
% 0.35/0.52 ; 0.000 0% Ordering ac (14 calls)
% 0.35/0.52 ; 0.001 2% Sortal reasoning (32 calls)
% 0.35/0.52 ; 0.000 0% Purity testing (1 call)
% 0.35/0.52 ; 0.021 46% Other
% 0.35/0.52 ; 0.046 Total
% 0.35/0.52 ; 0.049 Real time
% 0.35/0.52 ;
% 0.35/0.52 ; Term-hash-array has 95 terms in all.
% 0.35/0.52 ; Feature-vector-row-index has 7 entries (7 at peak, 7 added, 0 deleted).
% 0.35/0.52 ; Feature-vector-row-index has 25 nodes (25 at peak, 25 added, 0 deleted).
% 0.35/0.52 ; Retrieved 48 possibly forward subsuming rows in 27 calls.
% 0.35/0.52 ; Retrieved 0 possibly backward subsumed rows in 7 calls.
% 0.35/0.52 ; Path-index has 96 entries (96 at peak, 98 added, 2 deleted).
% 0.35/0.52 ; Path-index has 214 nodes (216 at peak, 216 added, 2 deleted).
% 0.35/0.52 ; Trie-index has 96 entries (96 at peak, 98 added, 2 deleted).
% 0.35/0.52 ; Trie-index has 157 nodes (157 at peak, 157 added, 0 deleted).
% 0.35/0.52 ; Retrieved 870 generalization terms in 275 calls.
% 0.35/0.52 ; Retrieved 31 instance terms in 27 calls.
% 0.35/0.52 ; Retrieved 281 unifiable terms in 77 calls.
% 0.35/0.52 ;
% 0.35/0.52 ; The agenda of rows to process has 20 entries:
% 0.35/0.52 ; 3 with value 17 3 with value 22 1 with value 27
% 0.35/0.52 ; 2 with value 19 2 with value 23 1 with value 28
% 0.35/0.52 ; 2 with value 20 1 with value 24 1 with value 30
% 0.35/0.52 ; 1 with value 21 2 with value 26 1 with value 33
% 0.35/0.52 ; The agenda of input rows to give has 9 entries:
% 0.35/0.52 ; 2 with value 12 2 with value 16 4 with value 24
% 0.35/0.52 ; 1 with value 14
% 0.35/0.52 ; The agenda of rows to give has 13 entries:
% 0.35/0.52 ; 2 with value (4 5) 2 with value (4 9) 1 with value (4 16)
% 0.35/0.52 ; 2 with value (4 7) 2 with value (4 10) 1 with value (4 18)
% 0.35/0.52 ; 1 with value (4 8) 1 with value (4 15) 1 with value (4 21)
% 0.35/0.52 Evaluation took:
% 0.35/0.52 0.049 seconds of real time
% 0.35/0.52 0.043482 seconds of user run time
% 0.35/0.52 0.004236 seconds of system run time
% 0.35/0.52 0 calls to %EVAL
% 0.35/0.52 0 page faults and
% 0.35/0.52 2,689,368 bytes consed.
% 0.35/0.52 :PROOF-FOUND
% 0.35/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-16T15:57:25
% 0.35/0.52 :PROOF-FOUND
% 0.35/0.52 *
%------------------------------------------------------------------------------