TSTP Solution File: NUN066+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN066+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 16:38:16 EDT 2022
% Result : Theorem 0.69s 0.87s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 14
% Syntax : Number of clauses : 34 ( 14 unt; 16 nHn; 9 RR)
% Number of literals : 57 ( 33 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-2 aty)
% Number of variables : 40 ( 11 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('SKOLEMAAAV23'(X))
| r1('SKOLEMAAAV24'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerononetwoexist) ).
cnf(34,negated_conjecture,
( r1('SKOLEMAAAV23'(X))
| X = 'SKOLEMAAAV24'(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerononetwoexist) ).
cnf(35,negated_conjecture,
( r2('SKOLEMAAAV23'(X),'SKOLEMAAAV22'(X))
| r1('SKOLEMAAAV24'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerononetwoexist) ).
cnf(36,negated_conjecture,
( r2('SKOLEMAAAV23'(X),'SKOLEMAAAV22'(X))
| X = 'SKOLEMAAAV24'(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerononetwoexist) ).
cnf(37,negated_conjecture,
( r2('SKOLEMAAAV22'(X),'SKOLEMAAAV21'(X))
| r1('SKOLEMAAAV24'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerononetwoexist) ).
cnf(38,negated_conjecture,
( r2('SKOLEMAAAV22'(X),'SKOLEMAAAV21'(X))
| X = 'SKOLEMAAAV24'(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerononetwoexist) ).
cnf(39,negated_conjecture,
( X = 'SKOLEMAAAV21'(X)
| r1('SKOLEMAAAV24'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerononetwoexist) ).
cnf(40,negated_conjecture,
( X = 'SKOLEMAAAV21'(X)
| X = 'SKOLEMAAAV24'(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',nonzerononetwoexist) ).
cnf(44,plain,
'SKOLEMAAAV16'(X) = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[1,24]) ).
cnf(45,plain,
r1('SKOLEMAAAV1'),
inference('REWRITE',[status(thm)],[24,44,theory(equality)]) ).
cnf(52,plain,
'SKOLEMAAAV11'(X,Y) = 'SKOLEMAAAV2'(X),
inference('HYPERRESOLVE',[status(thm)],[3,14]) ).
cnf(54,plain,
r2(X,'SKOLEMAAAV2'(X)),
inference('REWRITE',[status(thm)],[14,52,theory(equality)]) ).
cnf(58,plain,
( r1('SKOLEMAAAV23'(X))
| 'SKOLEMAAAV24'(X) = 'SKOLEMAAAV1' ),
inference('HYPERRESOLVE',[status(thm)],[1,33]) ).
cnf(63,plain,
'SKOLEMAAAV1' != 'SKOLEMAAAV2'(X),
inference('UR-RESOLVE',[status(thm)],[32,45,54]) ).
cnf(65,plain,
( X = 'SKOLEMAAAV24'(X)
| 'SKOLEMAAAV23'(X) = 'SKOLEMAAAV1' ),
inference('HYPERRESOLVE',[status(thm)],[1,34]) ).
cnf(91,plain,
( r1('SKOLEMAAAV24'(X))
| 'SKOLEMAAAV22'(X) = 'SKOLEMAAAV2'('SKOLEMAAAV23'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[3,35]) ).
cnf(92,plain,
( r1('SKOLEMAAAV24'(X))
| 'SKOLEMAAAV21'(X) = 'SKOLEMAAAV2'('SKOLEMAAAV22'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[3,37]) ).
cnf(93,plain,
'SKOLEMAAAV2'(X) = 'SKOLEMAAAV21'('SKOLEMAAAV2'(X)),
inference('HYPERRESOLVE',[status(thm)],[32,40,39,54]) ).
cnf(110,plain,
( X = 'SKOLEMAAAV24'(X)
| 'SKOLEMAAAV22'(X) = 'SKOLEMAAAV2'('SKOLEMAAAV23'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[3,36]) ).
cnf(112,plain,
( X = 'SKOLEMAAAV24'(X)
| 'SKOLEMAAAV21'(X) = 'SKOLEMAAAV2'('SKOLEMAAAV22'(X)) ),
inference('HYPERRESOLVE',[status(thm)],[3,38]) ).
cnf(123,plain,
'SKOLEMAAAV2'('SKOLEMAAAV1') != 'SKOLEMAAAV2'('SKOLEMAAAV2'(X)),
inference('UR-RESOLVE',[status(thm)],[20,63,54,54]) ).
cnf(137,plain,
'SKOLEMAAAV2'('SKOLEMAAAV2'('SKOLEMAAAV1')) != 'SKOLEMAAAV2'('SKOLEMAAAV2'('SKOLEMAAAV2'(X))),
inference('UR-RESOLVE',[status(thm)],[20,123,54,54]) ).
cnf(146,plain,
( 'SKOLEMAAAV24'(X) = 'SKOLEMAAAV1'
| 'SKOLEMAAAV23'(X) = 'SKOLEMAAAV1' ),
inference('HYPERRESOLVE',[status(thm)],[1,58]) ).
cnf(318,plain,
( 'SKOLEMAAAV23'(X) = 'SKOLEMAAAV1'
| X = 'SKOLEMAAAV1' ),
inference('PARAMODULATE',[status(thm)],[65,146,theory(equality)]) ).
cnf(324,plain,
'SKOLEMAAAV23'('SKOLEMAAAV2'(X)) = 'SKOLEMAAAV1',
inference('UR-RESOLVE',[status(thm)],[318,63]) ).
cnf(536,plain,
'SKOLEMAAAV22'('SKOLEMAAAV2'(X)) = 'SKOLEMAAAV2'('SKOLEMAAAV1'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[32,110,91,54]),324,theory(equality)]) ).
cnf(645,plain,
'SKOLEMAAAV2'(X) = 'SKOLEMAAAV2'('SKOLEMAAAV2'('SKOLEMAAAV1')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[32,112,92,54]),536,93,theory(equality)]) ).
cnf(646,plain,
$false,
inference('REWRITE',[status(thm)],[137,645,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUN066+2 : TPTP v8.1.0. Released v7.3.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n018.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 2 10:46:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p 2022-06-02T10:46:00
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-06-02T10:46:00
% 0.20/0.49
% 0.69/0.87 ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAV12 ?X ?Y)).
% 0.69/0.87
% 0.69/0.87 #||
% 0.69/0.87 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.87 % SZS output start Refutation
% See solution above
% 0.69/0.87 ||#
% 0.69/0.87
% 0.69/0.87 ; Summary of computation:
% 0.69/0.87 ; 3365 formulas have been input or derived (from 130 formulas).
% 0.69/0.87 ; 646 (19%) were retained. Of these,
% 0.69/0.87 ; 207 (32%) were simplified or subsumed later,
% 0.69/0.87 ; 439 (68%) are still being kept.
% 0.69/0.87 ;
% 0.69/0.87 ; Run time in seconds excluding printing time:
% 0.69/0.87 ; 0.005 1% Read assertion file (1 call)
% 0.69/0.87 ; 0.002 1% Assert (12 calls)
% 0.69/0.87 ; 0.062 16% Process new row (2,945 calls)
% 0.69/0.87 ; 0.054 14% Resolution (258 calls)
% 0.69/0.87 ; 0.004 1% Paramodulation (129 calls)
% 0.69/0.87 ; 0.000 0% Factoring (49 calls)
% 0.69/0.87 ; 0.026 7% Condensing (1,828 calls)
% 0.69/0.87 ; 0.099 25% Forward subsumption (1,828 calls)
% 0.69/0.87 ; 0.012 3% Backward subsumption (553 calls)
% 0.69/0.87 ; 0.023 6% Clause clause subsumption (4,801 calls)
% 0.69/0.87 ; 0.056 14% Forward simplification (2,851 calls)
% 0.69/0.87 ; 0.006 2% Backward simplification (645 calls)
% 0.69/0.87 ; 0.008 2% Ordering (2,694 calls)
% 0.69/0.87 ; 0.000 0% Sortal reasoning (32 calls)
% 0.69/0.87 ; 0.000 0% Purity testing (1 call)
% 0.69/0.87 ; 0.040 10% Other
% 0.69/0.87 ; 0.397 Total
% 0.69/0.87 ; 0.401 Real time
% 0.69/0.87 ;
% 0.69/0.87 ; Term-hash-array has 652 terms in all.
% 0.69/0.87 ; Feature-vector-row-index has 391 entries (463 at peak, 553 added, 162 deleted).
% 0.69/0.87 ; Feature-vector-row-index has 1,998 nodes (2,467 at peak, 2,945 added, 947 deleted).
% 0.69/0.87 ; Retrieved 11,033 possibly forward subsuming rows in 1,828 calls.
% 0.69/0.87 ; Retrieved 474 possibly backward subsumed rows in 553 calls.
% 0.69/0.87 ; Path-index has 464 entries (554 at peak, 690 added, 226 deleted).
% 0.69/0.87 ; Path-index has 1,333 nodes (1,444 at peak, 1,598 added, 265 deleted).
% 0.69/0.87 ; Trie-index has 464 entries (554 at peak, 690 added, 226 deleted).
% 0.69/0.87 ; Trie-index has 1,334 nodes (1,658 at peak, 2,013 added, 679 deleted).
% 0.69/0.87 ; Retrieved 2,567 generalization terms in 18,076 calls.
% 0.69/0.87 ; Retrieved 139 instance terms in 92 calls.
% 0.69/0.87 ; Retrieved 11,600 unifiable terms in 2,458 calls.
% 0.69/0.87 ;
% 0.69/0.87 ; The agenda of backward simplifiable rows to process has 89 entries:
% 0.69/0.87 ; 89 with value 0
% 0.69/0.87 ; The agenda of rows to process has 151 entries:
% 0.69/0.87 ; 1 with value 14 4 with value 24 19 with value 32
% 0.69/0.87 ; 1 with value 15 1 with value 25 4 with value 33
% 0.69/0.87 ; 1 with value 16 15 with value 26 1 with value 34
% 0.69/0.87 ; 1 with value 17 4 with value 27 15 with value 35
% 0.69/0.87 ; 7 with value 19 5 with value 28 8 with value 36
% 0.69/0.87 ; 5 with value 20 7 with value 29 1 with value 39
% 0.69/0.87 ; 5 with value 21 10 with value 30 6 with value 42
% 0.69/0.87 ; 4 with value 22 13 with value 31 6 with value 43
% 0.69/0.87 ; 7 with value 23
% 0.69/0.87 ; The agenda of rows to give has 336 entries:
% 0.69/0.87 ; 1 with value (4 11) 9 with value (4 25) 17 with value (4 35)
% 0.69/0.87 ; 24 with value (4 16) 28 with value (4 26) 12 with value (4 36)
% 0.69/0.87 ; 13 with value (4 17) 14 with value (4 27) 3 with value (4 37)
% 0.69/0.87 ; 10 with value (4 18) 13 with value (4 28) 5 with value (4 38)
% 0.69/0.87 ; 23 with value (4 19) 10 with value (4 29) 7 with value (4 39)
% 0.69/0.87 ; 15 with value (4 20) 14 with value (4 30) 6 with value (4 40)
% 0.69/0.87 ; 10 with value (4 21) 21 with value (4 31) 3 with value (4 41)
% 0.69/0.87 ; 11 with value (4 22) 24 with value (4 32) 3 with value (4 42)
% 0.69/0.87 ; 10 with value (4 23) 14 with value (4 33) 3 with value (4 43)
% 0.69/0.87 ; 9 with value (4 24) 4 with value (4 34)
% 0.69/0.87 Evaluation took:
% 0.69/0.87 0.401 seconds of real time
% 0.69/0.87 0.360954 seconds of user run time
% 0.69/0.87 0.040186 seconds of system run time
% 0.69/0.87 [Run times include 0.013 seconds GC run time.]
% 0.69/0.87 0 calls to %EVAL
% 0.69/0.87 0 page faults and
% 0.69/0.87 29,458,232 bytes consed.
% 0.69/0.87 :PROOF-FOUND
% 0.69/0.87 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T10:46:00
% 0.69/0.87 :PROOF-FOUND
% 0.69/0.87 *
%------------------------------------------------------------------------------