TSTP Solution File: SET017+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET017+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n014.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 05:05:50 EDT 2022
% Result : Theorem 2.37s 2.58s
% Output : Refutation 2.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 15 ( 13 unt; 1 nHn; 11 RR)
% Number of literals : 19 ( 8 equ; 6 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 9 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
( ~ member(X,unordered_pair(Y,Z))
| X = Y
| X = Z ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).
cnf(10,axiom,
( member(X,unordered_pair(Y,Z))
| ~ member(X,universal_class)
| X != Z ),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',unordered_pair_defn) ).
cnf(12,axiom,
singleton(X) = unordered_pair(X,X),
file('/export/starexec/sandbox/benchmark/Axioms/SET005+0.ax',singleton_set_defn) ).
cnf(92,negated_conjecture,
member('SKOLEMAAAU9',universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_cancellation) ).
cnf(93,negated_conjecture,
member('SKOLEMAAAU10',universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_cancellation) ).
cnf(94,negated_conjecture,
unordered_pair('SKOLEMAAAU8','SKOLEMAAAU9') = unordered_pair('SKOLEMAAAU8','SKOLEMAAAU10'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_cancellation) ).
cnf(95,negated_conjecture,
'SKOLEMAAAU9' != 'SKOLEMAAAU10',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',left_cancellation) ).
cnf(275,plain,
~ member('SKOLEMAAAU10',singleton('SKOLEMAAAU9')),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,95,95]),12,theory(equality)]) ).
cnf(290,plain,
member('SKOLEMAAAU9',unordered_pair(X,'SKOLEMAAAU9')),
inference('HYPERRESOLVE',[status(thm)],[10,92,theory(equality)]) ).
cnf(291,plain,
member('SKOLEMAAAU10',unordered_pair(X,'SKOLEMAAAU10')),
inference('HYPERRESOLVE',[status(thm)],[10,93,theory(equality)]) ).
cnf(3056,plain,
member('SKOLEMAAAU9',unordered_pair('SKOLEMAAAU8','SKOLEMAAAU10')),
inference('PARAMODULATE',[status(thm)],[290,94,theory(equality)]) ).
cnf(10759,plain,
'SKOLEMAAAU9' = 'SKOLEMAAAU8',
inference('UR-RESOLVE',[status(thm)],[8,3056,95]) ).
cnf(10761,plain,
singleton('SKOLEMAAAU8') = unordered_pair('SKOLEMAAAU8','SKOLEMAAAU10'),
inference('REWRITE',[status(thm)],[94,12,10759,theory(equality)]) ).
cnf(10777,plain,
~ member('SKOLEMAAAU10',singleton('SKOLEMAAAU8')),
inference('REWRITE',[status(thm)],[275,10759,theory(equality)]) ).
cnf(14611,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[291,10761,theory(equality)]),10777]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET017+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n014.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sun Jul 10 16:58:20 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 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/sandbox/benchmark/theBenchmark.p 2022-07-10T16:58:20
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n014.cluster.edu at 2022-07-10T16:58:20
% 2.37/2.58
% 2.37/2.58
% 2.37/2.58 #||
% 2.37/2.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.37/2.58 % SZS output start Refutation
% See solution above
% 2.37/2.58 ||#
% 2.37/2.58
% 2.37/2.58 ; Summary of computation:
% 2.37/2.58 ; 26313 formulas have been input or derived (from 256 formulas).
% 2.37/2.58 ; 14611 (56%) were retained. Of these,
% 2.37/2.58 ; 3935 (27%) were simplified or subsumed later,
% 2.37/2.58 ; 10676 (73%) are still being kept.
% 2.37/2.58 ;
% 2.37/2.58 ; Run time in seconds excluding printing time:
% 2.37/2.58 ; 0.011 1% Read assertion file (1 call)
% 2.37/2.58 ; 0.003 0% Assert (44 calls)
% 2.37/2.58 ; 0.731 35% Process new row (25,858 calls)
% 2.37/2.58 ; 0.515 24% Resolution (510 calls)
% 2.37/2.58 ; 0.002 0% Paramodulation (255 calls)
% 2.37/2.58 ; 0.000 0% Factoring (6 calls)
% 2.37/2.58 ; 0.012 1% Condensing (2,070 calls)
% 2.37/2.58 ; 0.078 4% Forward subsumption (2,070 calls)
% 2.37/2.58 ; 0.089 4% Backward subsumption (1,965 calls)
% 2.37/2.58 ; 0.012 1% Clause clause subsumption (5,101 calls)
% 2.37/2.58 ; 0.263 12% Forward simplification (25,252 calls)
% 2.37/2.58 ; 0.290 14% Backward simplification (14,608 calls)
% 2.37/2.58 ; 0.014 1% Ordering (5,078 calls)
% 2.37/2.58 ; 0.000 0% Sortal reasoning (32 calls)
% 2.37/2.58 ; 0.000 0% Purity testing (1 call)
% 2.37/2.58 ; 0.086 4% Other
% 2.37/2.58 ; 2.106 Total
% 2.37/2.58 ; 2.107 Real time
% 2.37/2.58 ;
% 2.37/2.58 ; Term-hash-array has 20,225 terms in all.
% 2.37/2.58 ; Feature-vector-row-index has 1,619 entries (1,620 at peak, 1,965 added, 346 deleted).
% 2.37/2.58 ; Feature-vector-row-index has 6,105 nodes (6,112 at peak, 7,393 added, 1,288 deleted).
% 2.37/2.58 ; Retrieved 3,994 possibly forward subsuming rows in 2,070 calls.
% 2.37/2.58 ; Retrieved 2,204 possibly backward subsumed rows in 1,965 calls.
% 2.37/2.58 ; Path-index has 15,210 entries (15,215 at peak, 20,263 added, 5,053 deleted).
% 2.37/2.58 ; Path-index has 5,628 nodes (5,631 at peak, 6,098 added, 470 deleted).
% 2.37/2.58 ; Trie-index has 15,210 entries (15,215 at peak, 20,263 added, 5,053 deleted).
% 2.37/2.58 ; Trie-index has 37,699 nodes (37,707 at peak, 49,524 added, 11,825 deleted).
% 2.37/2.58 ; Retrieved 14,772 generalization terms in 62,397 calls.
% 2.37/2.58 ; Retrieved 12,698 instance terms in 12,642 calls.
% 2.37/2.58 ; Retrieved 1,395,570 unifiable terms in 8,731 calls.
% 2.37/2.58 ;
% 2.37/2.58 ; The agenda of rows to process has 17 entries:
% 2.37/2.58 ; 1 with value 8 1 with value 11 4 with value 13
% 2.37/2.58 ; 6 with value 9 4 with value 12 1 with value 15
% 2.37/2.58 ; The agenda of rows to give has 10461 entries:
% 2.37/2.58 ; 7 with value (4 7) 361 with value (4 20) 6 with value (4 32)
% 2.37/2.58 ; 12 with value (4 8) 197 with value (4 21) 6 with value (4 33)
% 2.37/2.58 ; 50 with value (4 9) 66 with value (4 22) 1 with value (4 34)
% 2.37/2.58 ; 286 with value (4 10) 52 with value (4 23) 2 with value (4 35)
% 2.37/2.58 ; 370 with value (4 11) 21 with value (4 24) 7 with value (4 38)
% 2.37/2.58 ; 318 with value (4 12) 21 with value (4 25) 14 with value (4 39)
% 2.37/2.58 ; 504 with value (4 13) 8 with value (4 26) 2 with value (4 40)
% 2.37/2.58 ; 904 with value (4 14) 4 with value (4 27) 9 with value (4 41)
% 2.37/2.58 ; 1695 with value (4 15) 9 with value (4 28) 12 with value (4 42)
% 2.37/2.58 ; 2702 with value (4 16) 2 with value (4 29) 4 with value (4 43)
% 2.37/2.58 ; 2106 with value (4 17) 2 with value (4 30) 2 with value (4 44)
% 2.37/2.58 ; 304 with value (4 18) 1 with value (4 31) 4 with value (4 45)
% 2.37/2.58 ; 390 with value (4 19)
% 2.37/2.58 Evaluation took:
% 2.37/2.58 2.108 seconds of real time
% 2.37/2.58 1.921564 seconds of user run time
% 2.37/2.58 0.186996 seconds of system run time
% 2.37/2.58 [Run times include 0.329 seconds GC run time.]
% 2.37/2.58 0 calls to %EVAL
% 2.37/2.58 0 page faults and
% 2.37/2.59 168,214,512 bytes consed.
% 2.37/2.59 :PROOF-FOUND
% 2.37/2.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T16:58:22
% 2.37/2.59 :PROOF-FOUND
% 2.37/2.59 *
%------------------------------------------------------------------------------