TSTP Solution File: SEU328+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU328+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 0.47s 0.65s
% Output : Refutation 0.47s
% 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/sandbox2/benchmark/theBenchmark.p',d4_subset_1) ).
cnf(27,axiom,
( ~ element(X,powerset(Y))
| subset_complement(Y,X) = set_difference(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_subset_1) ).
cnf(28,axiom,
element(cast_to_subset(X),powerset(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k2_subset_1) ).
cnf(29,plain,
element(X,powerset(X)),
inference('REWRITE',[status(thm)],[28,26,theory(equality)]) ).
cnf(32,axiom,
( ~ element(X,powerset(powerset(Y)))
| element(meet_of_subsets(Y,X),powerset(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_setfam_1) ).
cnf(71,axiom,
( ~ element(X,powerset(powerset(Y)))
| meet_of_subsets(Y,X) = set_meet(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_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/sandbox2/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).
cnf(74,negated_conjecture,
element('SKOLEMAAAV6',powerset(powerset('SKOLEMAAAV5'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_tops_2) ).
cnf(75,negated_conjecture,
'SKOLEMAAAV6' != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_tops_2) ).
cnf(76,negated_conjecture,
union_of_subsets('SKOLEMAAAV5',complements_of_subsets('SKOLEMAAAV5','SKOLEMAAAV6')) != subset_complement('SKOLEMAAAV5',meet_of_subsets('SKOLEMAAAV5','SKOLEMAAAV6')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t12_tops_2) ).
cnf(82,axiom,
( ~ element(X,powerset(powerset(Y)))
| X = empty_set
| union_of_subsets(Y,complements_of_subsets(Y,X)) = subset_difference(Y,cast_to_subset(Y),meet_of_subsets(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t48_setfam_1) ).
cnf(83,plain,
( ~ element(X,powerset(powerset(Y)))
| X = empty_set
| union_of_subsets(Y,complements_of_subsets(Y,X)) = subset_difference(Y,Y,meet_of_subsets(Y,X)) ),
inference('REWRITE',[status(thm)],[82,26,theory(equality)]) ).
cnf(153,plain,
element(meet_of_subsets('SKOLEMAAAV5','SKOLEMAAAV6'),powerset('SKOLEMAAAV5')),
inference('HYPERRESOLVE',[status(thm)],[32,74]) ).
cnf(174,plain,
meet_of_subsets('SKOLEMAAAV5','SKOLEMAAAV6') = set_meet('SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[71,74]) ).
cnf(175,plain,
union_of_subsets('SKOLEMAAAV5',complements_of_subsets('SKOLEMAAAV5','SKOLEMAAAV6')) != subset_complement('SKOLEMAAAV5',set_meet('SKOLEMAAAV6')),
inference('REWRITE',[status(thm)],[76,174,theory(equality)]) ).
cnf(176,plain,
element(set_meet('SKOLEMAAAV6'),powerset('SKOLEMAAAV5')),
inference('REWRITE',[status(thm)],[153,174,theory(equality)]) ).
cnf(251,plain,
union_of_subsets('SKOLEMAAAV5',complements_of_subsets('SKOLEMAAAV5','SKOLEMAAAV6')) = subset_difference('SKOLEMAAAV5','SKOLEMAAAV5',set_meet('SKOLEMAAAV6')),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[83,74,75]),174,theory(equality)]) ).
cnf(466,plain,
subset_complement('SKOLEMAAAV5',set_meet('SKOLEMAAAV6')) = set_difference('SKOLEMAAAV5',set_meet('SKOLEMAAAV6')),
inference('HYPERRESOLVE',[status(thm)],[27,176]) ).
cnf(467,plain,
union_of_subsets('SKOLEMAAAV5',complements_of_subsets('SKOLEMAAAV5','SKOLEMAAAV6')) != set_difference('SKOLEMAAAV5',set_meet('SKOLEMAAAV6')),
inference('REWRITE',[status(thm)],[175,466,theory(equality)]) ).
cnf(475,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[72,176,29]),467,251,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU328+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.14/0.37 % Computer : n006.cluster.edu
% 0.14/0.37 % Model : x86_64 x86_64
% 0.14/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.37 % Memory : 8042.1875MB
% 0.14/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.37 % CPULimit : 300
% 0.14/0.37 % WCLimit : 600
% 0.14/0.37 % DateTime : Sun Jun 19 17:21:10 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.23/0.51 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.23/0.52 *
% 0.23/0.52 *
% 0.23/0.52 #<PACKAGE "SNARK-USER">
% 0.23/0.52 *
% 0.23/0.52 SNARK-TPTP-OPTIONS
% 0.23/0.52 *
% 0.23/0.52 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.23/0.52 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.23/0.52 (USE-FACTORING :POS)
% 0.23/0.52 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.23/0.52 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.23/0.52 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.23/0.52 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.23/0.52 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.23/0.52 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.23/0.52 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.23/0.52 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.23/0.52 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.23/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.23/0.52 *
% 0.23/0.52 "."
% 0.23/0.52 *
% 0.23/0.52 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T17:21:10
% 0.23/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-06-19T17:21:10
% 0.23/0.55
% 0.23/0.55 WARNING:
% 0.23/0.55 |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.23/0.55 WARNING:
% 0.23/0.55 |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.23/0.55 WARNING:
% 0.23/0.55 |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.23/0.55 WARNING:
% 0.23/0.55 |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.23/0.55 WARNING:
% 0.23/0.55 |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.65 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.47/0.65
% 0.47/0.65 #||
% 0.47/0.65 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.65 % SZS output start Refutation
% See solution above
% 0.47/0.65 ||#
% 0.47/0.65
% 0.47/0.65 ; Summary of computation:
% 0.47/0.65 ; 1954 formulas have been input or derived (from 133 formulas).
% 0.47/0.65 ; 475 (24%) were retained. Of these,
% 0.47/0.65 ; 81 (17%) were simplified or subsumed later,
% 0.47/0.65 ; 394 (83%) are still being kept.
% 0.47/0.65 ;
% 0.47/0.65 ; Run time in seconds excluding printing time:
% 0.47/0.65 ; 0.013 10% Read assertion file (1 call)
% 0.47/0.65 ; 0.003 2% Assert (59 calls)
% 0.47/0.65 ; 0.028 22% Process new row (1,587 calls)
% 0.47/0.65 ; 0.020 16% Resolution (264 calls)
% 0.47/0.65 ; 0.004 3% Paramodulation (132 calls)
% 0.47/0.65 ; 0.000 0% Factoring (1 call)
% 0.47/0.65 ; 0.002 2% Condensing (155 calls)
% 0.47/0.65 ; 0.004 3% Forward subsumption (155 calls)
% 0.47/0.65 ; 0.002 2% Backward subsumption (115 calls)
% 0.47/0.65 ; 0.000 0% Clause clause subsumption (98 calls)
% 0.47/0.65 ; 0.017 13% Forward simplification (1,572 calls)
% 0.47/0.65 ; 0.005 4% Backward simplification (473 calls)
% 0.47/0.65 ; 0.001 1% Ordering (212 calls)
% 0.47/0.65 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.65 ; 0.001 1% Purity testing (1 call)
% 0.47/0.65 ; 0.028 22% Other
% 0.47/0.65 ; 0.128 Total
% 0.47/0.65 ; 0.130 Real time
% 0.47/0.65 ;
% 0.47/0.65 ; Term-hash-array has 697 terms in all.
% 0.47/0.65 ; Feature-vector-row-index has 115 entries (115 at peak, 115 added, 0 deleted).
% 0.47/0.65 ; Feature-vector-row-index has 503 nodes (503 at peak, 503 added, 0 deleted).
% 0.47/0.65 ; Retrieved 85 possibly forward subsuming rows in 155 calls.
% 0.47/0.65 ; Retrieved 13 possibly backward subsumed rows in 115 calls.
% 0.47/0.65 ; Path-index has 620 entries (620 at peak, 704 added, 84 deleted).
% 0.47/0.65 ; Path-index has 1,311 nodes (1,311 at peak, 1,387 added, 76 deleted).
% 0.47/0.65 ; Trie-index has 620 entries (620 at peak, 704 added, 84 deleted).
% 0.47/0.65 ; Trie-index has 1,983 nodes (1,983 at peak, 2,336 added, 353 deleted).
% 0.47/0.65 ; Retrieved 1,845 generalization terms in 2,306 calls.
% 0.47/0.65 ; Retrieved 434 instance terms in 357 calls.
% 0.47/0.65 ; Retrieved 12,271 unifiable terms in 2,134 calls.
% 0.47/0.65 ;
% 0.47/0.65 ; The agenda of rows to process has 30 entries:
% 0.47/0.65 ; 6 with value 15 14 with value 17 6 with value 20
% 0.47/0.65 ; 4 with value 16
% 0.47/0.65 ; The agenda of input rows to give has 1 entry:
% 0.47/0.65 ; 1 with value 13
% 0.47/0.65 ; The agenda of rows to give has 264 entries:
% 0.47/0.65 ; 10 with value (4 8) 19 with value (4 14) 2 with value (4 21)
% 0.47/0.65 ; 23 with value (4 9) 37 with value (4 15) 2 with value (4 22)
% 0.47/0.65 ; 11 with value (4 10) 13 with value (4 16) 1 with value (4 24)
% 0.47/0.65 ; 28 with value (4 11) 15 with value (4 17) 1 with value (4 25)
% 0.47/0.65 ; 40 with value (4 12) 16 with value (4 18) 1 with value (4 29)
% 0.47/0.65 ; 33 with value (4 13) 11 with value (4 20) 1 with value (4 34)
% 0.47/0.65 Evaluation took:
% 0.47/0.65 0.131 seconds of real time
% 0.47/0.65 0.114361 seconds of user run time
% 0.47/0.65 0.016253 seconds of system run time
% 0.47/0.65 0 calls to %EVAL
% 0.47/0.65 0 page faults and
% 0.47/0.65 8,192,696 bytes consed.
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T17:21:10
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 *
%------------------------------------------------------------------------------