%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU327+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 14:21:20 EDT 2022
% Result : Theorem 0.17s 0.55s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 20 ( 14 unt; 2 nHn; 17 RR)
% Number of literals : 29 ( 15 equ; 11 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 12 ( 12 usr; 3 con; 0-3 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(26,axiom,
cast_to_subset(X) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_subset_1) ).
cnf(27,axiom,
( ~ element(X,powerset(Y))
| subset_complement(Y,X) = set_difference(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d5_subset_1) ).
cnf(28,axiom,
element(cast_to_subset(X),powerset(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_subset_1) ).
cnf(29,plain,
element(X,powerset(X)),
inference('REWRITE',[status(thm)],[28,26,theory(equality)]) ).
cnf(31,axiom,
( ~ element(X,powerset(powerset(Y)))
| element(union_of_subsets(Y,X),powerset(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k5_setfam_1) ).
cnf(70,axiom,
( ~ element(X,powerset(powerset(Y)))
| union_of_subsets(Y,X) = union(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k5_setfam_1) ).
cnf(72,axiom,
( ~ element(X,powerset(Y))
| ~ element(Z,powerset(Y))
| subset_difference(Y,X,Z) = set_difference(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).
cnf(74,negated_conjecture,
element('SKOLEMAAAU6',powerset(powerset('SKOLEMAAAU5'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_tops_2) ).
cnf(75,negated_conjecture,
'SKOLEMAAAU6' != empty_set,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_tops_2) ).
cnf(76,negated_conjecture,
meet_of_subsets('SKOLEMAAAU5',complements_of_subsets('SKOLEMAAAU5','SKOLEMAAAU6')) != subset_complement('SKOLEMAAAU5',union_of_subsets('SKOLEMAAAU5','SKOLEMAAAU6')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t11_tops_2) ).
cnf(82,axiom,
( ~ element(X,powerset(powerset(Y)))
| X = empty_set
| subset_difference(Y,cast_to_subset(Y),union_of_subsets(Y,X)) = meet_of_subsets(Y,complements_of_subsets(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t47_setfam_1) ).
cnf(83,plain,
( ~ element(X,powerset(powerset(Y)))
| X = empty_set
| subset_difference(Y,Y,union_of_subsets(Y,X)) = meet_of_subsets(Y,complements_of_subsets(Y,X)) ),
inference('REWRITE',[status(thm)],[82,26,theory(equality)]) ).
cnf(148,plain,
element(union_of_subsets('SKOLEMAAAU5','SKOLEMAAAU6'),powerset('SKOLEMAAAU5')),
inference('HYPERRESOLVE',[status(thm)],[31,74]) ).
cnf(164,plain,
union_of_subsets('SKOLEMAAAU5','SKOLEMAAAU6') = union('SKOLEMAAAU6'),
inference('HYPERRESOLVE',[status(thm)],[70,74]) ).
cnf(165,plain,
meet_of_subsets('SKOLEMAAAU5',complements_of_subsets('SKOLEMAAAU5','SKOLEMAAAU6')) != subset_complement('SKOLEMAAAU5',union('SKOLEMAAAU6')),
inference('REWRITE',[status(thm)],[76,164,theory(equality)]) ).
cnf(166,plain,
element(union('SKOLEMAAAU6'),powerset('SKOLEMAAAU5')),
inference('REWRITE',[status(thm)],[148,164,theory(equality)]) ).
cnf(251,plain,
subset_difference('SKOLEMAAAU5','SKOLEMAAAU5',union('SKOLEMAAAU6')) = meet_of_subsets('SKOLEMAAAU5',complements_of_subsets('SKOLEMAAAU5','SKOLEMAAAU6')),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[83,74,75]),164,theory(equality)]) ).
cnf(362,plain,
subset_complement('SKOLEMAAAU5',union('SKOLEMAAAU6')) = set_difference('SKOLEMAAAU5',union('SKOLEMAAAU6')),
inference('HYPERRESOLVE',[status(thm)],[27,166]) ).
cnf(363,plain,
meet_of_subsets('SKOLEMAAAU5',complements_of_subsets('SKOLEMAAAU5','SKOLEMAAAU6')) != set_difference('SKOLEMAAAU5',union('SKOLEMAAAU6')),
inference('REWRITE',[status(thm)],[165,362,theory(equality)]) ).
cnf(369,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[72,166,29]),363,251,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.10 % Problem : SEU327+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.11 % Command : run-snark %s %d
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 600
% 0.11/0.32 % DateTime : Sun Jun 19 10:53:29 EDT 2022
% 0.11/0.32 % CPUTime :
% 0.17/0.41 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.42 *
% 0.17/0.42 *
% 0.17/0.43 #<PACKAGE "SNARK-USER">
% 0.17/0.43 *
% 0.17/0.43 SNARK-TPTP-OPTIONS
% 0.17/0.43 *
% 0.17/0.43 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.43 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.43 (USE-FACTORING :POS)
% 0.17/0.43 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.43 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.43 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.43 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.43 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.43 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.43 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.43 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.43 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.43 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.43 *
% 0.17/0.43 "."
% 0.17/0.43 *
% 0.17/0.43 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T10:53:29
% 0.17/0.43 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-19T10:53:29
% 0.17/0.46
% 0.17/0.46 WARNING:
% 0.17/0.46 |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.46 WARNING:
% 0.17/0.46 |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.46 WARNING:
% 0.17/0.46 |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.46 WARNING:
% 0.17/0.46 |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.46 WARNING:
% 0.17/0.46 |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.55 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.17/0.55
% 0.17/0.55 #||
% 0.17/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.55 % SZS output start Refutation
% See solution above
% 0.17/0.55 ||#
% 0.17/0.55
% 0.17/0.55 ; Summary of computation:
% 0.17/0.55 ; 1431 formulas have been input or derived (from 126 formulas).
% 0.17/0.55 ; 369 (26%) were retained. Of these,
% 0.17/0.55 ; 57 (15%) were simplified or subsumed later,
% 0.17/0.55 ; 312 (85%) are still being kept.
% 0.17/0.55 ;
% 0.17/0.55 ; Run time in seconds excluding printing time:
% 0.17/0.55 ; 0.012 10% Read assertion file (1 call)
% 0.17/0.55 ; 0.003 2% Assert (59 calls)
% 0.17/0.55 ; 0.032 27% Process new row (1,263 calls)
% 0.17/0.55 ; 0.017 14% Resolution (250 calls)
% 0.17/0.55 ; 0.000 0% Paramodulation (125 calls)
% 0.17/0.55 ; 0.000 0% Factoring (1 call)
% 0.17/0.55 ; 0.001 1% Condensing (131 calls)
% 0.17/0.55 ; 0.004 3% Forward subsumption (131 calls)
% 0.17/0.55 ; 0.003 2% Backward subsumption (101 calls)
% 0.17/0.55 ; 0.000 0% Clause clause subsumption (64 calls)
% 0.17/0.55 ; 0.009 8% Forward simplification (1,248 calls)
% 0.17/0.55 ; 0.007 6% Backward simplification (367 calls)
% 0.17/0.55 ; 0.000 0% Ordering (147 calls)
% 0.17/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.17/0.55 ; 0.001 1% Purity testing (1 call)
% 0.17/0.55 ; 0.031 26% Other
% 0.17/0.55 ; 0.120 Total
% 0.17/0.55 ; 0.121 Real time
% 0.17/0.55 ;
% 0.17/0.55 ; Term-hash-array has 525 terms in all.
% 0.17/0.55 ; Feature-vector-row-index has 101 entries (101 at peak, 101 added, 0 deleted).
% 0.17/0.55 ; Feature-vector-row-index has 414 nodes (414 at peak, 414 added, 0 deleted).
% 0.17/0.55 ; Retrieved 55 possibly forward subsuming rows in 131 calls.
% 0.17/0.55 ; Retrieved 9 possibly backward subsumed rows in 101 calls.
% 0.17/0.55 ; Path-index has 472 entries (472 at peak, 532 added, 60 deleted).
% 0.17/0.55 ; Path-index has 1,145 nodes (1,145 at peak, 1,207 added, 62 deleted).
% 0.17/0.55 ; Trie-index has 472 entries (472 at peak, 532 added, 60 deleted).
% 0.17/0.55 ; Trie-index has 1,475 nodes (1,475 at peak, 1,720 added, 245 deleted).
% 0.17/0.55 ; Retrieved 1,370 generalization terms in 1,753 calls.
% 0.17/0.55 ; Retrieved 334 instance terms in 265 calls.
% 0.17/0.55 ; Retrieved 9,102 unifiable terms in 1,682 calls.
% 0.17/0.55 ;
% 0.17/0.55 ; The agenda of rows to process has 21 entries:
% 0.17/0.55 ; 6 with value 15 5 with value 17 6 with value 20
% 0.17/0.55 ; 4 with value 16
% 0.17/0.55 ; The agenda of input rows to give has 1 entry:
% 0.17/0.55 ; 1 with value 13
% 0.17/0.55 ; The agenda of rows to give has 189 entries:
% 0.17/0.55 ; 9 with value (4 8) 13 with value (4 14) 2 with value (4 21)
% 0.17/0.55 ; 21 with value (4 9) 21 with value (4 15) 2 with value (4 22)
% 0.17/0.55 ; 11 with value (4 10) 11 with value (4 16) 1 with value (4 24)
% 0.17/0.55 ; 21 with value (4 11) 7 with value (4 17) 1 with value (4 29)
% 0.17/0.55 ; 29 with value (4 12) 16 with value (4 18) 1 with value (4 34)
% 0.17/0.55 ; 20 with value (4 13) 3 with value (4 20)
% 0.17/0.55 Evaluation took:
% 0.17/0.55 0.121 seconds of real time
% 0.17/0.55 0.100696 seconds of user run time
% 0.17/0.55 0.020168 seconds of system run time
% 0.17/0.55 0 calls to %EVAL
% 0.17/0.55 0 page faults and
% 0.17/0.55 6,961,120 bytes consed.
% 0.17/0.55 :PROOF-FOUND
% 0.17/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T10:53:29
% 0.17/0.55 :PROOF-FOUND
% 0.17/0.55 *
%------------------------------------------------------------------------------