TSTP Solution File: NUN065+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN065+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 : Mon Jul 18 16:38:15 EDT 2022
% Result : Theorem 0.49s 0.71s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 12
% Syntax : Number of clauses : 29 ( 11 unt; 14 nHn; 7 RR)
% Number of literals : 50 ( 29 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 35 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ r1(X)
| X = 'SKOLEMAAAV1' ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
cnf(3,axiom,
( ~ r2(X,Y)
| Y = 'SKOLEMAAAV2'(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
cnf(14,axiom,
r2(X,'SKOLEMAAAV11'(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(20,axiom,
( ~ r2(X,Y)
| Y != Z
| ~ r2(U,Z)
| X = U ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3a) ).
cnf(24,axiom,
r1('SKOLEMAAAV16'(X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(32,axiom,
( ~ r1(X)
| X != Y
| ~ r2(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_7a) ).
cnf(33,negated_conjecture,
( r1('SKOLEMAAAV22'(X))
| r1('SKOLEMAAAV23'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nononesexist) ).
cnf(34,negated_conjecture,
( r1('SKOLEMAAAV22'(X))
| X = 'SKOLEMAAAV23'(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nononesexist) ).
cnf(35,negated_conjecture,
( r2('SKOLEMAAAV22'(X),'SKOLEMAAAV21'(X))
| r1('SKOLEMAAAV23'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nononesexist) ).
cnf(36,negated_conjecture,
( r2('SKOLEMAAAV22'(X),'SKOLEMAAAV21'(X))
| X = 'SKOLEMAAAV23'(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nononesexist) ).
cnf(37,negated_conjecture,
( X = 'SKOLEMAAAV21'(X)
| r1('SKOLEMAAAV23'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nononesexist) ).
cnf(38,negated_conjecture,
( X = 'SKOLEMAAAV21'(X)
| X = 'SKOLEMAAAV23'(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nononesexist) ).
cnf(42,plain,
'SKOLEMAAAV16'(X) = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[1,24]) ).
cnf(43,plain,
r1('SKOLEMAAAV1'),
inference('REWRITE',[status(thm)],[24,42,theory(equality)]) ).
cnf(50,plain,
'SKOLEMAAAV11'(X,Y) = 'SKOLEMAAAV2'(X),
inference('HYPERRESOLVE',[status(thm)],[3,14]) ).
cnf(52,plain,
r2(X,'SKOLEMAAAV2'(X)),
inference('REWRITE',[status(thm)],[14,50,theory(equality)]) ).
cnf(56,plain,
( r1('SKOLEMAAAV22'(X))
| 'SKOLEMAAAV23'(X) = 'SKOLEMAAAV1' ),
inference('HYPERRESOLVE',[status(thm)],[1,33]) ).
cnf(61,plain,
'SKOLEMAAAV1' != 'SKOLEMAAAV2'(X),
inference('UR-RESOLVE',[status(thm)],[32,43,52]) ).
cnf(63,plain,
( X = 'SKOLEMAAAV23'(X)
| 'SKOLEMAAAV22'(X) = 'SKOLEMAAAV1' ),
inference('HYPERRESOLVE',[status(thm)],[1,34]) ).
cnf(90,plain,
'SKOLEMAAAV2'(X) = 'SKOLEMAAAV21'('SKOLEMAAAV2'(X)),
inference('HYPERRESOLVE',[status(thm)],[32,38,37,52]) ).
cnf(120,plain,
( r1('SKOLEMAAAV23'('SKOLEMAAAV2'(X)))
| X = 'SKOLEMAAAV22'('SKOLEMAAAV2'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[20,90,52,35]) ).
cnf(122,plain,
( 'SKOLEMAAAV2'(X) = 'SKOLEMAAAV23'('SKOLEMAAAV2'(X))
| X = 'SKOLEMAAAV22'('SKOLEMAAAV2'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[20,90,52,36]) ).
cnf(138,plain,
( 'SKOLEMAAAV23'(X) = 'SKOLEMAAAV1'
| 'SKOLEMAAAV22'(X) = 'SKOLEMAAAV1' ),
inference('HYPERRESOLVE',[status(thm)],[1,56]) ).
cnf(282,plain,
( 'SKOLEMAAAV22'(X) = 'SKOLEMAAAV1'
| X = 'SKOLEMAAAV1' ),
inference('PARAMODULATE',[status(thm)],[63,138,theory(equality)]) ).
cnf(288,plain,
'SKOLEMAAAV22'('SKOLEMAAAV2'(X)) = 'SKOLEMAAAV1',
inference('UR-RESOLVE',[status(thm)],[282,61]) ).
cnf(289,plain,
( r1('SKOLEMAAAV23'('SKOLEMAAAV2'(X)))
| X = 'SKOLEMAAAV1' ),
inference('REWRITE',[status(thm)],[120,288,theory(equality)]) ).
cnf(291,plain,
( 'SKOLEMAAAV2'(X) = 'SKOLEMAAAV23'('SKOLEMAAAV2'(X))
| X = 'SKOLEMAAAV1' ),
inference('REWRITE',[status(thm)],[122,288,theory(equality)]) ).
cnf(365,plain,
X = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[32,291,289,52]) ).
cnf(366,plain,
$false,
inference('REWRITE',[status(thm)],[61,365,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : NUN065+2 : TPTP v8.1.0. Released v7.3.0.
% 0.12/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n021.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 2 09:10:31 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T09:10:31
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-06-02T09:10:31
% 0.21/0.50
% 0.49/0.70 WARNING: Cannot use equality or equivalence (= ?X SKOLEMAAAV1) as rewrite.
% 0.49/0.71 ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAV12 ?X ?Y)).
% 0.49/0.71
% 0.49/0.71 #||
% 0.49/0.71 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.71 % SZS output start Refutation
% See solution above
% 0.49/0.71 ||#
% 0.49/0.71
% 0.49/0.71 ; Summary of computation:
% 0.49/0.71 ; 1895 formulas have been input or derived (from 111 formulas).
% 0.49/0.71 ; 366 (19%) were retained. Of these,
% 0.49/0.71 ; 218 (60%) were simplified or subsumed later,
% 0.49/0.71 ; 148 (40%) are still being kept.
% 0.49/0.71 ;
% 0.49/0.71 ; Run time in seconds excluding printing time:
% 0.49/0.71 ; 0.004 2% Read assertion file (1 call)
% 0.49/0.71 ; 0.002 1% Assert (12 calls)
% 0.49/0.71 ; 0.039 18% Process new row (1,682 calls)
% 0.49/0.71 ; 0.031 14% Resolution (220 calls)
% 0.56/0.71 ; 0.008 4% Paramodulation (110 calls)
% 0.56/0.71 ; 0.000 0% Factoring (34 calls)
% 0.56/0.71 ; 0.007 3% Condensing (841 calls)
% 0.56/0.71 ; 0.025 12% Forward subsumption (841 calls)
% 0.56/0.71 ; 0.013 6% Backward subsumption (278 calls)
% 0.56/0.71 ; 0.009 4% Clause clause subsumption (2,105 calls)
% 0.56/0.71 ; 0.036 17% Forward simplification (1,644 calls)
% 0.56/0.71 ; 0.006 3% Backward simplification (365 calls)
% 0.56/0.71 ; 0.001 0% Ordering (1,362 calls)
% 0.56/0.71 ; 0.000 0% Sortal reasoning (32 calls)
% 0.56/0.71 ; 0.000 0% Purity testing (1 call)
% 0.56/0.71 ; 0.036 17% Other
% 0.56/0.71 ; 0.217 Total
% 0.56/0.71 ; 0.220 Real time
% 0.56/0.71 ;
% 0.56/0.71 ; Term-hash-array has 453 terms in all.
% 0.56/0.71 ; Feature-vector-row-index has 96 entries (222 at peak, 278 added, 182 deleted).
% 0.56/0.71 ; Feature-vector-row-index has 362 nodes (922 at peak, 1,200 added, 838 deleted).
% 0.56/0.71 ; Retrieved 4,530 possibly forward subsuming rows in 841 calls.
% 0.56/0.71 ; Retrieved 339 possibly backward subsumed rows in 278 calls.
% 0.56/0.71 ; Path-index has 261 entries (360 at peak, 474 added, 213 deleted).
% 0.56/0.71 ; Path-index has 847 nodes (917 at peak, 1,060 added, 213 deleted).
% 0.56/0.71 ; Trie-index has 261 entries (360 at peak, 474 added, 213 deleted).
% 0.56/0.71 ; Trie-index has 761 nodes (992 at peak, 1,312 added, 551 deleted).
% 0.56/0.71 ; Retrieved 1,817 generalization terms in 8,889 calls.
% 0.56/0.71 ; Retrieved 134 instance terms in 86 calls.
% 0.56/0.71 ; Retrieved 8,200 unifiable terms in 1,879 calls.
% 0.56/0.71 ;
% 0.56/0.71 ; The agenda of backward simplifiable rows to process has 2 entries:
% 0.56/0.71 ; 2 with value 0
% 0.56/0.71 ; The agenda of rows to process has 46 entries:
% 0.56/0.71 ; 1 with value 12 4 with value 21 4 with value 26
% 0.56/0.71 ; 3 with value 14 2 with value 22 5 with value 28
% 0.56/0.71 ; 2 with value 15 4 with value 23 3 with value 29
% 0.56/0.71 ; 3 with value 16 2 with value 24 2 with value 36
% 0.56/0.71 ; 2 with value 17 2 with value 25 1 with value 40
% 0.56/0.71 ; 6 with value 19
% 0.56/0.71 ; The agenda of rows to give has 77 entries:
% 0.56/0.71 ; 1 with value (4 7) 3 with value (4 21) 2 with value (4 34)
% 0.56/0.71 ; 1 with value (4 15) 5 with value (4 22) 2 with value (4 35)
% 0.56/0.71 ; 21 with value (4 16) 4 with value (4 24) 2 with value (4 36)
% 0.56/0.71 ; 4 with value (4 17) 5 with value (4 25) 2 with value (4 39)
% 0.56/0.71 ; 6 with value (4 18) 1 with value (4 27) 4 with value (4 40)
% 0.56/0.71 ; 2 with value (4 19) 3 with value (4 33) 2 with value (4 41)
% 0.56/0.71 ; 7 with value (4 20)
% 0.56/0.71 Evaluation took:
% 0.56/0.71 0.221 seconds of real time
% 0.56/0.71 0.195716 seconds of user run time
% 0.56/0.71 0.024653 seconds of system run time
% 0.56/0.71 [Run times include 0.007 seconds GC run time.]
% 0.56/0.71 0 calls to %EVAL
% 0.56/0.71 0 page faults and
% 0.56/0.71 15,206,432 bytes consed.
% 0.56/0.71 :PROOF-FOUND
% 0.56/0.71 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T09:10:32
% 0.56/0.71 :PROOF-FOUND
% 0.56/0.71 *
%------------------------------------------------------------------------------