TSTP Solution File: NUN059+2 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN059+2 : TPTP v8.1.0. Bugfixed v7.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 16:38:14 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 9
% Syntax : Number of clauses : 18 ( 16 unt; 0 nHn; 3 RR)
% Number of literals : 23 ( 7 equ; 6 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 23 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ r1(X)
| X = 'SKOLEMAAAV1' ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
cnf(21,axiom,
r1('SKOLEMAAAV14'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(22,axiom,
r3(X,'SKOLEMAAAV14'(X),'SKOLEMAAAV13'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(23,axiom,
'SKOLEMAAAV13'(X) = X,
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_4a) ).
cnf(24,axiom,
r1('SKOLEMAAAV16'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(25,axiom,
r4(X,'SKOLEMAAAV16'(X),'SKOLEMAAAV15'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(26,axiom,
r1('SKOLEMAAAV17'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(27,axiom,
'SKOLEMAAAV15'(X) = 'SKOLEMAAAV17'(X),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(33,negated_conjecture,
( ~ r4(X,X,Y)
| Y != Z
| ~ r4(U,U,V)
| ~ r4(W,W,X1)
| ~ r3(X1,V,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fermattothepoweroftwo) ).
cnf(34,plain,
r1('SKOLEMAAAV15'(X)),
inference('REWRITE',[status(thm)],[26,27,theory(equality)]) ).
cnf(35,plain,
r3(X,'SKOLEMAAAV14'(X),X),
inference('REWRITE',[status(thm)],[22,23,theory(equality)]) ).
cnf(37,plain,
'SKOLEMAAAV16'(X) = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[1,24]) ).
cnf(39,plain,
r4(X,'SKOLEMAAAV1','SKOLEMAAAV15'(X)),
inference('REWRITE',[status(thm)],[25,37,theory(equality)]) ).
cnf(40,plain,
'SKOLEMAAAV15'(X) = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[1,34]) ).
cnf(42,plain,
r4(X,'SKOLEMAAAV1','SKOLEMAAAV1'),
inference('REWRITE',[status(thm)],[39,40,theory(equality)]) ).
cnf(43,plain,
'SKOLEMAAAV14'(X) = 'SKOLEMAAAV1',
inference('HYPERRESOLVE',[status(thm)],[1,21]) ).
cnf(44,plain,
r3(X,'SKOLEMAAAV1',X),
inference('REWRITE',[status(thm)],[35,43,theory(equality)]) ).
cnf(87,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[33,42,42,42,44,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUN059+2 : TPTP v8.1.0. Bugfixed v7.4.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jun 2 08:05:57 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 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 2022-06-02T08:05:57
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-06-02T08:05:57
% 0.19/0.48
% 0.19/0.52 ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAV12 ?X ?Y)).
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 341 formulas have been input or derived (from 39 formulas).
% 0.19/0.52 ; 87 (26%) were retained. Of these,
% 0.19/0.52 ; 30 (34%) were simplified or subsumed later,
% 0.19/0.52 ; 57 (66%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.005 10% Read assertion file (1 call)
% 0.19/0.52 ; 0.002 4% Assert (12 calls)
% 0.19/0.52 ; 0.005 10% Process new row (143 calls)
% 0.19/0.52 ; 0.009 18% Resolution (76 calls)
% 0.19/0.52 ; 0.000 0% Paramodulation (38 calls)
% 0.19/0.52 ; 0.000 0% Factoring (4 calls)
% 0.19/0.52 ; 0.002 4% Condensing (41 calls)
% 0.19/0.52 ; 0.001 2% Forward subsumption (41 calls)
% 0.19/0.52 ; 0.001 2% Backward subsumption (32 calls)
% 0.19/0.52 ; 0.000 0% Clause clause subsumption (26 calls)
% 0.19/0.52 ; 0.003 6% Forward simplification (136 calls)
% 0.19/0.52 ; 0.001 2% Backward simplification (86 calls)
% 0.19/0.52 ; 0.000 0% Ordering (103 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.022 43% Other
% 0.19/0.52 ; 0.051 Total
% 0.19/0.52 ; 0.054 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 151 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 26 entries (26 at peak, 32 added, 6 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 84 nodes (84 at peak, 106 added, 22 deleted).
% 0.19/0.52 ; Retrieved 63 possibly forward subsuming rows in 41 calls.
% 0.19/0.52 ; Retrieved 7 possibly backward subsumed rows in 32 calls.
% 0.19/0.52 ; Path-index has 115 entries (115 at peak, 161 added, 46 deleted).
% 0.19/0.52 ; Path-index has 365 nodes (365 at peak, 425 added, 60 deleted).
% 0.19/0.52 ; Trie-index has 115 entries (115 at peak, 161 added, 46 deleted).
% 0.19/0.52 ; Trie-index has 290 nodes (290 at peak, 404 added, 114 deleted).
% 0.19/0.52 ; Retrieved 41 generalization terms in 250 calls.
% 0.19/0.52 ; Retrieved 60 instance terms in 53 calls.
% 0.19/0.52 ; Retrieved 2,542 unifiable terms in 804 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of rows to process has 166 entries:
% 0.19/0.52 ; 1 with value 5 18 with value 11 21 with value 16
% 0.19/0.52 ; 9 with value 6 12 with value 12 9 with value 17
% 0.19/0.52 ; 10 with value 8 21 with value 13 8 with value 18
% 0.19/0.52 ; 8 with value 9 20 with value 14 5 with value 19
% 0.19/0.52 ; 9 with value 10 15 with value 15
% 0.19/0.52 ; The agenda of rows to give has 28 entries:
% 0.19/0.52 ; 1 with value (4 5) 2 with value (4 10) 2 with value (4 18)
% 0.19/0.52 ; 1 with value (4 6) 2 with value (4 12) 2 with value (4 22)
% 0.19/0.52 ; 5 with value (4 7) 4 with value (4 13) 1 with value (4 24)
% 0.19/0.52 ; 2 with value (4 8) 1 with value (4 15) 1 with value (4 25)
% 0.19/0.52 ; 2 with value (4 9) 2 with value (4 16)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.055 seconds of real time
% 0.19/0.52 0.049286 seconds of user run time
% 0.19/0.52 0.005162 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 3,537,440 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T08:05:57
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------