TSTP Solution File: NUN080+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUN080+2 : TPTP v8.1.0. Released v7.3.0.
% 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 : Mon Jul 18 16:38:19 EDT 2022
% Result : Theorem 0.19s 0.53s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 10 unt; 0 nHn; 5 RR)
% Number of literals : 19 ( 6 equ; 7 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 : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 22 ( 6 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ r1(X)
| X = 'SKOLEMAAAU1' ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_1) ).
cnf(3,axiom,
( ~ r2(X,Y)
| Y = 'SKOLEMAAAU2'(X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2) ).
cnf(14,axiom,
r2(X,'SKOLEMAAAU11'(X,Y)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(16,axiom,
'SKOLEMAAAU10'(X,Y) = 'SKOLEMAAAU9'(X,Y),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(17,axiom,
r3('SKOLEMAAAU12'(X,Y),X,'SKOLEMAAAU9'(Y,X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_2a) ).
cnf(18,plain,
r3('SKOLEMAAAU12'(X,Y),X,'SKOLEMAAAU10'(Y,X)),
inference('REWRITE',[status(thm)],[17,16,theory(equality)]) ).
cnf(24,axiom,
r1('SKOLEMAAAU16'(X)),
file('/export/starexec/sandbox2/benchmark/Axioms/NUM008+0.ax',axiom_5a) ).
cnf(33,negated_conjecture,
( X != Y
| ~ r3(Z,U,X)
| ~ r2(V,U)
| ~ r1(W)
| ~ r2(W,V) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xplustwoeqy) ).
cnf(37,plain,
'SKOLEMAAAU16'(X) = 'SKOLEMAAAU1',
inference('HYPERRESOLVE',[status(thm)],[1,24]) ).
cnf(38,plain,
r1('SKOLEMAAAU1'),
inference('REWRITE',[status(thm)],[24,37,theory(equality)]) ).
cnf(45,plain,
'SKOLEMAAAU11'(X,Y) = 'SKOLEMAAAU2'(X),
inference('HYPERRESOLVE',[status(thm)],[3,14]) ).
cnf(47,plain,
r2(X,'SKOLEMAAAU2'(X)),
inference('REWRITE',[status(thm)],[14,45,theory(equality)]) ).
cnf(87,plain,
$false,
inference('HYPERRESOLVE',[status(thm)],[33,18,47,38,47,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUN080+2 : TPTP v8.1.0. Released v7.3.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n019.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 02:57:25 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T02:57:26
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-06-02T02:57:26
% 0.19/0.49
% 0.19/0.53 ; Recognized relation function assertion (|r4| ?X ?Y (SKOLEMAAAU12 ?X ?Y)).
% 0.19/0.53
% 0.19/0.53 #||
% 0.19/0.53 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.53 % SZS output start Refutation
% See solution above
% 0.19/0.53 ||#
% 0.19/0.53
% 0.19/0.53 ; Summary of computation:
% 0.19/0.53 ; 257 formulas have been input or derived (from 39 formulas).
% 0.19/0.53 ; 87 (34%) were retained. Of these,
% 0.19/0.53 ; 30 (34%) were simplified or subsumed later,
% 0.19/0.53 ; 57 (66%) are still being kept.
% 0.19/0.53 ;
% 0.19/0.53 ; Run time in seconds excluding printing time:
% 0.19/0.53 ; 0.005 10% Read assertion file (1 call)
% 0.19/0.53 ; 0.002 4% Assert (12 calls)
% 0.19/0.53 ; 0.006 12% Process new row (143 calls)
% 0.19/0.53 ; 0.006 12% Resolution (76 calls)
% 0.19/0.53 ; 0.000 0% Paramodulation (38 calls)
% 0.19/0.53 ; 0.000 0% Factoring (4 calls)
% 0.19/0.53 ; 0.003 6% Condensing (41 calls)
% 0.19/0.53 ; 0.000 0% Forward subsumption (41 calls)
% 0.19/0.53 ; 0.000 0% Backward subsumption (32 calls)
% 0.19/0.53 ; 0.000 0% Clause clause subsumption (27 calls)
% 0.19/0.53 ; 0.003 6% Forward simplification (136 calls)
% 0.19/0.53 ; 0.000 0% Backward simplification (86 calls)
% 0.19/0.53 ; 0.001 2% Ordering (108 calls)
% 0.19/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.53 ; 0.000 0% Purity testing (1 call)
% 0.19/0.53 ; 0.023 47% Other
% 0.19/0.53 ; 0.049 Total
% 0.19/0.53 ; 0.050 Real time
% 0.19/0.53 ;
% 0.19/0.53 ; Term-hash-array has 151 terms in all.
% 0.19/0.53 ; Feature-vector-row-index has 26 entries (26 at peak, 32 added, 6 deleted).
% 0.19/0.53 ; Feature-vector-row-index has 84 nodes (84 at peak, 106 added, 22 deleted).
% 0.19/0.53 ; Retrieved 64 possibly forward subsuming rows in 41 calls.
% 0.19/0.53 ; Retrieved 7 possibly backward subsumed rows in 32 calls.
% 0.19/0.53 ; Path-index has 115 entries (115 at peak, 161 added, 46 deleted).
% 0.19/0.53 ; Path-index has 365 nodes (365 at peak, 426 added, 61 deleted).
% 0.19/0.53 ; Trie-index has 115 entries (115 at peak, 161 added, 46 deleted).
% 0.19/0.53 ; Trie-index has 290 nodes (290 at peak, 405 added, 115 deleted).
% 0.19/0.53 ; Retrieved 41 generalization terms in 250 calls.
% 0.19/0.53 ; Retrieved 60 instance terms in 53 calls.
% 0.19/0.53 ; Retrieved 1,769 unifiable terms in 488 calls.
% 0.19/0.53 ;
% 0.19/0.53 ; The agenda of rows to process has 45 entries:
% 0.19/0.53 ; 2 with value 4 3 with value 10 1 with value 13
% 0.19/0.53 ; 13 with value 5 2 with value 11 3 with value 18
% 0.19/0.53 ; 10 with value 7 6 with value 12 3 with value 27
% 0.19/0.53 ; 2 with value 8
% 0.19/0.53 ; The agenda of rows to give has 28 entries:
% 0.19/0.53 ; 1 with value (4 5) 2 with value (4 10) 2 with value (4 18)
% 0.19/0.53 ; 1 with value (4 6) 2 with value (4 12) 2 with value (4 22)
% 0.19/0.53 ; 5 with value (4 7) 4 with value (4 13) 1 with value (4 24)
% 0.19/0.53 ; 2 with value (4 8) 1 with value (4 15) 1 with value (4 25)
% 0.19/0.53 ; 2 with value (4 9) 2 with value (4 16)
% 0.19/0.53 Evaluation took:
% 0.19/0.53 0.051 seconds of real time
% 0.19/0.53 0.048141 seconds of user run time
% 0.19/0.53 0.002773 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 3,123,624 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-02T02:57:26
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------