TSTP Solution File: SET020+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET020+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 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 : Tue Jul 19 05:05:56 EDT 2022
% Result : Theorem 0.37s 0.62s
% Output : Refutation 0.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 6 unt; 0 nHn; 9 RR)
% Number of literals : 14 ( 7 equ; 7 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(17,axiom,
( ~ member(X,universal_class)
| ~ member(Y,universal_class)
| first(ordered_pair(X,Y)) = X ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',first_second) ).
cnf(18,axiom,
( ~ member(X,universal_class)
| ~ member(Y,universal_class)
| second(ordered_pair(X,Y)) = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',first_second) ).
cnf(92,negated_conjecture,
member('SKOLEMAAAV8',universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_sets1) ).
cnf(93,negated_conjecture,
member('SKOLEMAAAV9',universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_sets1) ).
cnf(94,negated_conjecture,
'SKOLEMAAAV10' = ordered_pair('SKOLEMAAAV8','SKOLEMAAAV9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_sets1) ).
cnf(95,negated_conjecture,
( first('SKOLEMAAAV10') != 'SKOLEMAAAV8'
| second('SKOLEMAAAV10') != 'SKOLEMAAAV9' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unique_1st_and_2nd_in_pair_of_sets1) ).
cnf(426,plain,
first('SKOLEMAAAV10') = 'SKOLEMAAAV8',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,92,93]),94,theory(equality)]) ).
cnf(427,plain,
second('SKOLEMAAAV10') != 'SKOLEMAAAV9',
inference('REWRITE',[status(thm)],[95,426,theory(equality)]) ).
cnf(479,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[18,92,93]),427,94,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET020+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n021.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon Jul 11 01:20:08 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.49 #<PACKAGE "SNARK-USER">
% 0.20/0.49 *
% 0.20/0.49 SNARK-TPTP-OPTIONS
% 0.20/0.49 *
% 0.20/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.49 (USE-FACTORING :POS)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.49 *
% 0.20/0.49 "."
% 0.20/0.49 *
% 0.20/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T01:20:08
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-11T01:20:08
% 0.37/0.62
% 0.37/0.62
% 0.37/0.62 #||
% 0.37/0.62 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.37/0.62 % SZS output start Refutation
% See solution above
% 0.37/0.62 ||#
% 0.37/0.62
% 0.37/0.62 ; Summary of computation:
% 0.37/0.62 ; 764 formulas have been input or derived (from 81 formulas).
% 0.37/0.62 ; 479 (63%) were retained. Of these,
% 0.37/0.62 ; 17 ( 4%) were simplified or subsumed later,
% 0.37/0.62 ; 462 (96%) are still being kept.
% 0.37/0.62 ;
% 0.37/0.62 ; Run time in seconds excluding printing time:
% 0.37/0.62 ; 0.010 8% Read assertion file (1 call)
% 0.37/0.62 ; 0.003 2% Assert (44 calls)
% 0.37/0.62 ; 0.039 29% Process new row (654 calls)
% 0.37/0.62 ; 0.018 14% Resolution (160 calls)
% 0.37/0.62 ; 0.002 2% Paramodulation (80 calls)
% 0.37/0.62 ; 0.000 0% Factoring (6 calls)
% 0.37/0.62 ; 0.005 4% Condensing (380 calls)
% 0.37/0.62 ; 0.005 4% Forward subsumption (380 calls)
% 0.37/0.62 ; 0.005 4% Backward subsumption (336 calls)
% 0.37/0.62 ; 0.003 2% Clause clause subsumption (707 calls)
% 0.37/0.62 ; 0.015 11% Forward simplification (654 calls)
% 0.37/0.62 ; 0.003 2% Backward simplification (476 calls)
% 0.37/0.62 ; 0.001 1% Ordering (602 calls)
% 0.37/0.62 ; 0.001 1% Sortal reasoning (32 calls)
% 0.37/0.62 ; 0.000 0% Purity testing (1 call)
% 0.37/0.62 ; 0.023 17% Other
% 0.37/0.62 ; 0.133 Total
% 0.37/0.62 ; 0.134 Real time
% 0.37/0.62 ;
% 0.37/0.62 ; Term-hash-array has 973 terms in all.
% 0.37/0.62 ; Feature-vector-row-index has 327 entries (327 at peak, 336 added, 9 deleted).
% 0.37/0.62 ; Feature-vector-row-index has 1,153 nodes (1,153 at peak, 1,177 added, 24 deleted).
% 0.37/0.62 ; Retrieved 669 possibly forward subsuming rows in 380 calls.
% 0.37/0.62 ; Retrieved 286 possibly backward subsumed rows in 336 calls.
% 0.37/0.62 ; Path-index has 961 entries (961 at peak, 989 added, 28 deleted).
% 0.37/0.62 ; Path-index has 1,679 nodes (1,679 at peak, 1,707 added, 28 deleted).
% 0.37/0.62 ; Trie-index has 961 entries (961 at peak, 989 added, 28 deleted).
% 0.37/0.62 ; Trie-index has 2,502 nodes (2,502 at peak, 2,573 added, 71 deleted).
% 0.37/0.62 ; Retrieved 352 generalization terms in 1,537 calls.
% 0.37/0.62 ; Retrieved 155 instance terms in 139 calls.
% 0.37/0.62 ; Retrieved 14,702 unifiable terms in 681 calls.
% 0.37/0.62 ;
% 0.37/0.62 ; The agenda of rows to process has 74 entries:
% 0.37/0.62 ; 12 with value 10 1 with value 18 3 with value 22
% 0.37/0.62 ; 6 with value 13 8 with value 19 4 with value 23
% 0.37/0.62 ; 6 with value 15 2 with value 20 4 with value 24
% 0.37/0.62 ; 6 with value 16 4 with value 21 4 with value 25
% 0.37/0.62 ; 14 with value 17
% 0.37/0.62 ; The agenda of input rows to give has 13 entries:
% 0.37/0.62 ; 1 with value 17 4 with value 21 3 with value 25
% 0.37/0.62 ; 1 with value 18 1 with value 22 2 with value 35
% 0.37/0.62 ; 1 with value 19
% 0.37/0.62 ; The agenda of rows to give has 369 entries:
% 0.37/0.62 ; 1 with value (4 4) 26 with value (4 14) 17 with value (4 22)
% 0.37/0.62 ; 7 with value (4 5) 17 with value (4 15) 15 with value (4 23)
% 0.37/0.62 ; 18 with value (4 7) 18 with value (4 16) 7 with value (4 24)
% 0.37/0.62 ; 30 with value (4 8) 31 with value (4 17) 6 with value (4 25)
% 0.37/0.62 ; 4 with value (4 9) 14 with value (4 18) 4 with value (4 26)
% 0.37/0.62 ; 29 with value (4 10) 22 with value (4 19) 4 with value (4 27)
% 0.37/0.62 ; 12 with value (4 11) 16 with value (4 20) 4 with value (4 28)
% 0.37/0.62 ; 16 with value (4 12) 14 with value (4 21) 2 with value (4 30)
% 0.37/0.62 ; 35 with value (4 13)
% 0.37/0.62 Evaluation took:
% 0.37/0.62 0.135 seconds of real time
% 0.37/0.62 0.107957 seconds of user run time
% 0.37/0.62 0.026992 seconds of system run time
% 0.37/0.62 0 calls to %EVAL
% 0.37/0.62 0 page faults and
% 0.37/0.62 8,201,544 bytes consed.
% 0.37/0.62 :PROOF-FOUND
% 0.37/0.62 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T01:20:08
% 0.37/0.62 :PROOF-FOUND
% 0.37/0.62 *
%------------------------------------------------------------------------------