%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET072+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 05:06:52 EDT 2022
% Result : Theorem 3.00s 3.16s
% Output : Refutation 3.00s
% 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(9,axiom,
( member(X,unordered_pair(Y,Z))
| ~ member(X,universal_class)
| X != Y ),
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('SKOLEMAAAW8',universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_cancellation) ).
cnf(93,negated_conjecture,
member('SKOLEMAAAW9',universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_cancellation) ).
cnf(94,negated_conjecture,
unordered_pair('SKOLEMAAAW8','SKOLEMAAAW10') = unordered_pair('SKOLEMAAAW9','SKOLEMAAAW10'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_cancellation) ).
cnf(95,negated_conjecture,
'SKOLEMAAAW8' != 'SKOLEMAAAW9',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',right_cancellation) ).
cnf(274,plain,
~ member('SKOLEMAAAW8',singleton('SKOLEMAAAW9')),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[8,95,95]),12,theory(equality)]) ).
cnf(282,plain,
member('SKOLEMAAAW8',unordered_pair('SKOLEMAAAW8',X)),
inference('HYPERRESOLVE',[status(thm)],[9,92,theory(equality)]) ).
cnf(283,plain,
member('SKOLEMAAAW9',unordered_pair('SKOLEMAAAW9',X)),
inference('HYPERRESOLVE',[status(thm)],[9,93,theory(equality)]) ).
cnf(2848,plain,
member('SKOLEMAAAW9',unordered_pair('SKOLEMAAAW8','SKOLEMAAAW10')),
inference('PARAMODULATE',[status(thm)],[283,94,theory(equality)]) ).
cnf(10745,plain,
'SKOLEMAAAW9' = 'SKOLEMAAAW10',
inference('UR-RESOLVE',[status(thm)],[8,2848,95]) ).
cnf(10747,plain,
unordered_pair('SKOLEMAAAW8','SKOLEMAAAW10') = singleton('SKOLEMAAAW10'),
inference('REWRITE',[status(thm)],[94,12,10745,theory(equality)]) ).
cnf(10762,plain,
~ member('SKOLEMAAAW8',singleton('SKOLEMAAAW10')),
inference('REWRITE',[status(thm)],[274,10745,theory(equality)]) ).
cnf(14590,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[282,10747,theory(equality)]),10762]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET072+1 : TPTP v8.1.0. Bugfixed v5.4.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n024.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sun Jul 10 01:14:43 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.22/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.48 *
% 0.22/0.48 *
% 0.22/0.49 #<PACKAGE "SNARK-USER">
% 0.22/0.49 *
% 0.22/0.49 SNARK-TPTP-OPTIONS
% 0.22/0.49 *
% 0.22/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.49 (USE-FACTORING :POS)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.49 *
% 0.22/0.49 "."
% 0.22/0.49 *
% 0.22/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T01:14:43
% 0.22/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-10T01:14:43
% 3.00/3.16
% 3.00/3.16
% 3.00/3.16 #||
% 3.00/3.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.00/3.16 % SZS output start Refutation
% See solution above
% 3.00/3.17 ||#
% 3.00/3.17
% 3.00/3.17 ; Summary of computation:
% 3.00/3.17 ; 26285 formulas have been input or derived (from 250 formulas).
% 3.00/3.17 ; 14590 (56%) were retained. Of these,
% 3.00/3.17 ; 3928 (27%) were simplified or subsumed later,
% 3.00/3.17 ; 10662 (73%) are still being kept.
% 3.00/3.17 ;
% 3.00/3.17 ; Run time in seconds excluding printing time:
% 3.00/3.17 ; 0.011 0% Read assertion file (1 call)
% 3.00/3.17 ; 0.003 0% Assert (44 calls)
% 3.00/3.17 ; 0.866 32% Process new row (25,828 calls)
% 3.00/3.17 ; 0.869 33% Resolution (498 calls)
% 3.00/3.17 ; 0.029 1% Paramodulation (249 calls)
% 3.00/3.17 ; 0.000 0% Factoring (6 calls)
% 3.00/3.17 ; 0.013 0% Condensing (2,070 calls)
% 3.00/3.17 ; 0.101 4% Forward subsumption (2,070 calls)
% 3.00/3.17 ; 0.078 3% Backward subsumption (1,965 calls)
% 3.00/3.17 ; 0.013 0% Clause clause subsumption (5,101 calls)
% 3.00/3.17 ; 0.236 9% Forward simplification (25,222 calls)
% 3.00/3.17 ; 0.333 12% Backward simplification (14,587 calls)
% 3.00/3.17 ; 0.009 0% Ordering (5,060 calls)
% 3.00/3.17 ; 0.000 0% Sortal reasoning (32 calls)
% 3.00/3.17 ; 0.000 0% Purity testing (1 call)
% 3.00/3.17 ; 0.110 4% Other
% 3.00/3.17 ; 2.671 Total
% 3.00/3.17 ; 2.673 Real time
% 3.00/3.17 ;
% 3.00/3.17 ; Term-hash-array has 20,195 terms in all.
% 3.00/3.17 ; Feature-vector-row-index has 1,619 entries (1,620 at peak, 1,965 added, 346 deleted).
% 3.00/3.17 ; Feature-vector-row-index has 6,105 nodes (6,127 at peak, 7,394 added, 1,289 deleted).
% 3.00/3.17 ; Retrieved 3,978 possibly forward subsuming rows in 2,070 calls.
% 3.00/3.17 ; Retrieved 2,216 possibly backward subsumed rows in 1,965 calls.
% 3.00/3.17 ; Path-index has 15,190 entries (15,195 at peak, 20,233 added, 5,043 deleted).
% 3.00/3.17 ; Path-index has 5,616 nodes (5,618 at peak, 6,079 added, 463 deleted).
% 3.00/3.17 ; Trie-index has 15,190 entries (15,195 at peak, 20,233 added, 5,043 deleted).
% 3.00/3.17 ; Trie-index has 37,648 nodes (37,655 at peak, 49,447 added, 11,799 deleted).
% 3.00/3.17 ; Retrieved 14,736 generalization terms in 62,340 calls.
% 3.00/3.17 ; Retrieved 12,677 instance terms in 12,621 calls.
% 3.00/3.17 ; Retrieved 1,395,207 unifiable terms in 8,680 calls.
% 3.00/3.17 ;
% 3.00/3.17 ; The agenda of rows to process has 19 entries:
% 3.00/3.17 ; 9 with value 9 4 with value 12 1 with value 15
% 3.00/3.17 ; 1 with value 11 4 with value 13
% 3.00/3.17 ; The agenda of rows to give has 10450 entries:
% 3.00/3.17 ; 7 with value (4 7) 361 with value (4 20) 6 with value (4 32)
% 3.00/3.17 ; 12 with value (4 8) 197 with value (4 21) 6 with value (4 33)
% 3.00/3.17 ; 53 with value (4 9) 66 with value (4 22) 1 with value (4 34)
% 3.00/3.17 ; 284 with value (4 10) 52 with value (4 23) 2 with value (4 35)
% 3.00/3.17 ; 368 with value (4 11) 21 with value (4 24) 7 with value (4 38)
% 3.00/3.17 ; 318 with value (4 12) 21 with value (4 25) 14 with value (4 39)
% 3.00/3.17 ; 500 with value (4 13) 8 with value (4 26) 2 with value (4 40)
% 3.00/3.17 ; 904 with value (4 14) 4 with value (4 27) 9 with value (4 41)
% 3.00/3.17 ; 1689 with value (4 15) 9 with value (4 28) 12 with value (4 42)
% 3.00/3.17 ; 2702 with value (4 16) 2 with value (4 29) 4 with value (4 43)
% 3.00/3.17 ; 2106 with value (4 17) 2 with value (4 30) 2 with value (4 44)
% 3.00/3.17 ; 304 with value (4 18) 1 with value (4 31) 4 with value (4 45)
% 3.00/3.17 ; 390 with value (4 19)
% 3.00/3.17 Evaluation took:
% 3.00/3.17 2.675 seconds of real time
% 3.00/3.17 2.474432 seconds of user run time
% 3.00/3.17 0.200313 seconds of system run time
% 3.00/3.17 [Run times include 0.398 seconds GC run time.]
% 3.00/3.17 0 calls to %EVAL
% 3.00/3.17 0 page faults and
% 3.00/3.17 168,159,936 bytes consed.
% 3.00/3.17 :PROOF-FOUND
% 3.00/3.17 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T01:14:46
% 3.00/3.17 :PROOF-FOUND
% 3.00/3.17 *
%------------------------------------------------------------------------------