TSTP Solution File: NUN062+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN062+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 0.20s 0.51s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 16 ( 11 unt; 0 nHn; 7 RR)
% Number of literals : 24 ( 9 equ; 10 neg)
% Maximal clause size : 3 ( 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; 0-2 aty)
% Number of variables : 29 ( 8 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( ~ r2(X,Y)
| Y = 'SKOLEMAAAV2'(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
cnf(5,axiom,
( ~ r3(X,Y,Z)
| Z = 'SKOLEMAAAV3'(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_3) ).
cnf(13,axiom,
r3(X,Y,'SKOLEMAAAV8'(Y,X)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_1a) ).
cnf(14,axiom,
r2(X,'SKOLEMAAAV11'(X,Y)),
file('/export/starexec/sandbox/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
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))
| ~ r3('SKOLEMAAAV21',X,Y)
| Y != Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infiniteNumbers) ).
cnf(34,negated_conjecture,
( X = 'SKOLEMAAAV22'(X)
| ~ r3('SKOLEMAAAV21',X,Y)
| Y != Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',infiniteNumbers) ).
cnf(46,plain,
'SKOLEMAAAV11'(X,Y) = 'SKOLEMAAAV2'(X),
inference('HYPERRESOLVE',[status(thm)],[3,14]) ).
cnf(48,plain,
r2(X,'SKOLEMAAAV2'(X)),
inference('REWRITE',[status(thm)],[14,46,theory(equality)]) ).
cnf(54,plain,
~ r1('SKOLEMAAAV2'(X)),
inference('UR-RESOLVE',[status(thm)],[32,48,theory(equality)]) ).
cnf(59,plain,
'SKOLEMAAAV8'(X,Y) = 'SKOLEMAAAV3'(Y,X),
inference('HYPERRESOLVE',[status(thm)],[5,13]) ).
cnf(60,plain,
r3(X,Y,'SKOLEMAAAV3'(X,Y)),
inference('REWRITE',[status(thm)],[13,59,theory(equality)]) ).
cnf(86,plain,
r1('SKOLEMAAAV22'(X)),
inference('HYPERRESOLVE',[status(thm)],[33,60,theory(equality)]) ).
cnf(88,plain,
X = 'SKOLEMAAAV22'(X),
inference('HYPERRESOLVE',[status(thm)],[34,60,theory(equality)]) ).
cnf(89,plain,
r1(X),
inference('REWRITE',[status(thm)],[86,88,theory(equality)]) ).
cnf(90,plain,
$false,
inference('REWRITE',[status(thm)],[54,89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN062+2 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 2 02:49:08 EDT 2022
% 0.12/0.34 % 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 2022-06-02T02:49:08
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-02T02:49:08
% 0.20/0.48
% 0.20/0.51 ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAV12 ?X ?Y)).
% 0.20/0.51
% 0.20/0.51 #||
% 0.20/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.51 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 191 formulas have been input or derived (from 39 formulas).
% 0.20/0.52 ; 90 (47%) were retained. Of these,
% 0.20/0.52 ; 43 (48%) were simplified or subsumed later,
% 0.20/0.52 ; 47 (52%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.004 9% Read assertion file (1 call)
% 0.20/0.52 ; 0.002 4% Assert (12 calls)
% 0.20/0.52 ; 0.010 22% Process new row (144 calls)
% 0.20/0.52 ; 0.003 7% Resolution (76 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (38 calls)
% 0.20/0.52 ; 0.000 0% Factoring (4 calls)
% 0.20/0.52 ; 0.001 2% Condensing (30 calls)
% 0.20/0.52 ; 0.001 2% Forward subsumption (30 calls)
% 0.20/0.52 ; 0.000 0% Backward subsumption (30 calls)
% 0.20/0.52 ; 0.000 0% Clause clause subsumption (10 calls)
% 0.20/0.52 ; 0.002 4% Forward simplification (127 calls)
% 0.20/0.52 ; 0.000 0% Backward simplification (89 calls)
% 0.20/0.52 ; 0.001 2% Ordering (101 calls)
% 0.20/0.52 ; 0.001 2% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.000 0% Purity testing (1 call)
% 0.20/0.52 ; 0.021 46% Other
% 0.20/0.52 ; 0.046 Total
% 0.20/0.52 ; 0.048 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 148 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 16 entries (25 at peak, 30 added, 14 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 47 nodes (79 at peak, 91 added, 44 deleted).
% 0.20/0.52 ; Retrieved 12 possibly forward subsuming rows in 30 calls.
% 0.20/0.52 ; Retrieved 7 possibly backward subsumed rows in 30 calls.
% 0.20/0.52 ; Path-index has 102 entries (114 at peak, 161 added, 59 deleted).
% 0.20/0.52 ; Path-index has 354 nodes (363 at peak, 425 added, 71 deleted).
% 0.20/0.52 ; Trie-index has 102 entries (114 at peak, 161 added, 59 deleted).
% 0.20/0.52 ; Trie-index has 272 nodes (289 at peak, 404 added, 132 deleted).
% 0.20/0.52 ; Retrieved 41 generalization terms in 181 calls.
% 0.20/0.52 ; Retrieved 70 instance terms in 58 calls.
% 0.20/0.52 ; Retrieved 914 unifiable terms in 233 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of backward simplifiable rows to process has 3 entries:
% 0.20/0.52 ; 3 with value 0
% 0.20/0.52 ; The agenda of rows to process has 10 entries:
% 0.20/0.52 ; 2 with value 7 1 with value 13 1 with value 24
% 0.20/0.52 ; 5 with value 10 1 with value 18
% 0.20/0.52 ; The agenda of input rows to give has 1 entry:
% 0.20/0.52 ; 1 with value 16
% 0.20/0.52 ; The agenda of rows to give has 25 entries:
% 0.20/0.52 ; 1 with value (4 4) 2 with value (4 9) 2 with value (4 16)
% 0.20/0.52 ; 1 with value (4 5) 2 with value (4 10) 1 with value (4 18)
% 0.20/0.52 ; 6 with value (4 7) 2 with value (4 12) 2 with value (4 22)
% 0.20/0.52 ; 2 with value (4 8) 4 with value (4 13)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.049 seconds of real time
% 0.20/0.52 0.038349 seconds of user run time
% 0.20/0.52 0.010158 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 3,062,192 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-02T02:49:08
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------