TSTP Solution File: SEU323+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU323+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 14:21:18 EDT 2022
% Result : Theorem 0.20s 0.56s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 9
% Syntax : Number of clauses : 14 ( 9 unt; 0 nHn; 14 RR)
% Number of literals : 26 ( 2 equ; 13 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 2 con; 0-2 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ topological_space(X)
| ~ top_str(X)
| ~ closed_subset(Y,X)
| ~ element(Y,powerset(the_carrier(X)))
| open_subset(subset_complement(the_carrier(X),Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc3_tops_1) ).
cnf(6,axiom,
( ~ element(X,powerset(Y))
| element(subset_complement(Y,X),powerset(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k3_subset_1) ).
cnf(7,axiom,
( ~ top_str(X)
| ~ element(Y,powerset(the_carrier(X)))
| element(topstr_closure(X,Y),powerset(the_carrier(X))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
cnf(8,axiom,
( ~ topological_space(X)
| ~ top_str(X)
| ~ element(Y,powerset(the_carrier(X)))
| closed_subset(topstr_closure(X,Y),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc2_tops_1) ).
cnf(17,axiom,
( ~ top_str(X)
| ~ element(Y,powerset(the_carrier(X)))
| interior(X,Y) = subset_complement(the_carrier(X),topstr_closure(X,subset_complement(the_carrier(X),Y))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_tops_1) ).
cnf(18,negated_conjecture,
topological_space('SKOLEMAAAV6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_tops_1) ).
cnf(19,negated_conjecture,
top_str('SKOLEMAAAV6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_tops_1) ).
cnf(20,negated_conjecture,
element('SKOLEMAAAV7',powerset(the_carrier('SKOLEMAAAV6'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_tops_1) ).
cnf(21,negated_conjecture,
~ open_subset(interior('SKOLEMAAAV6','SKOLEMAAAV7'),'SKOLEMAAAV6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t51_tops_1) ).
cnf(27,plain,
element(subset_complement(the_carrier('SKOLEMAAAV6'),'SKOLEMAAAV7'),powerset(the_carrier('SKOLEMAAAV6'))),
inference('HYPERRESOLVE',[status(thm)],[6,20]) ).
cnf(41,plain,
interior('SKOLEMAAAV6','SKOLEMAAAV7') = subset_complement(the_carrier('SKOLEMAAAV6'),topstr_closure('SKOLEMAAAV6',subset_complement(the_carrier('SKOLEMAAAV6'),'SKOLEMAAAV7'))),
inference('HYPERRESOLVE',[status(thm)],[17,19,20]) ).
cnf(93,plain,
closed_subset(topstr_closure('SKOLEMAAAV6',subset_complement(the_carrier('SKOLEMAAAV6'),'SKOLEMAAAV7')),'SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[8,27,18,19]) ).
cnf(95,plain,
element(topstr_closure('SKOLEMAAAV6',subset_complement(the_carrier('SKOLEMAAAV6'),'SKOLEMAAAV7')),powerset(the_carrier('SKOLEMAAAV6'))),
inference('HYPERRESOLVE',[status(thm)],[7,27,19]) ).
cnf(282,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,95,18,19,93]),21,41,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU323+1 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n028.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 Jun 20 12:29:01 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T12:29:01
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-20T12:29:01
% 0.20/0.49 WARNING:
% 0.20/0.49 |one_sorted_str| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.56
% 0.20/0.56
% 0.20/0.56 #||
% 0.20/0.56 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.56 % SZS output start Refutation
% See solution above
% 0.20/0.56 ||#
% 0.20/0.56
% 0.20/0.56 ; Summary of computation:
% 0.20/0.56 ; 589 formulas have been input or derived (from 87 formulas).
% 0.20/0.56 ; 282 (48%) were retained. Of these,
% 0.20/0.56 ; 68 (24%) were simplified or subsumed later,
% 0.20/0.56 ; 214 (76%) are still being kept.
% 0.20/0.56 ;
% 0.20/0.56 ; Run time in seconds excluding printing time:
% 0.20/0.56 ; 0.004 4% Read assertion file (1 call)
% 0.20/0.56 ; 0.001 1% Assert (21 calls)
% 0.20/0.56 ; 0.021 24% Process new row (407 calls)
% 0.20/0.56 ; 0.013 15% Resolution (172 calls)
% 0.20/0.56 ; 0.003 3% Paramodulation (86 calls)
% 0.20/0.56 ; 0.000 0% Condensing (14 calls)
% 0.20/0.56 ; 0.000 0% Forward subsumption (14 calls)
% 0.20/0.56 ; 0.000 0% Backward subsumption (14 calls)
% 0.20/0.56 ; 0.000 0% Clause clause subsumption (1 call)
% 0.20/0.56 ; 0.009 10% Forward simplification (401 calls)
% 0.20/0.56 ; 0.006 7% Backward simplification (282 calls)
% 0.20/0.56 ; 0.001 1% Ordering (85 calls)
% 0.20/0.56 ; 0.001 1% Sortal reasoning (32 calls)
% 0.20/0.56 ; 0.001 1% Purity testing (1 call)
% 0.20/0.56 ; 0.029 33% Other
% 0.20/0.56 ; 0.089 Total
% 0.20/0.56 ; 0.091 Real time
% 0.20/0.56 ;
% 0.20/0.56 ; Term-hash-array has 486 terms in all.
% 0.20/0.56 ; Feature-vector-row-index has 14 entries (14 at peak, 14 added, 0 deleted).
% 0.20/0.56 ; Feature-vector-row-index has 74 nodes (74 at peak, 74 added, 0 deleted).
% 0.20/0.56 ; Retrieved 1 possibly forward subsuming row in 14 calls.
% 0.20/0.56 ; Retrieved 0 possibly backward subsumed rows in 14 calls.
% 0.20/0.56 ; Path-index has 385 entries (385 at peak, 489 added, 104 deleted).
% 0.20/0.56 ; Path-index has 1,459 nodes (1,459 at peak, 1,659 added, 200 deleted).
% 0.20/0.56 ; Trie-index has 385 entries (385 at peak, 489 added, 104 deleted).
% 0.20/0.56 ; Trie-index has 1,925 nodes (1,925 at peak, 2,523 added, 598 deleted).
% 0.20/0.56 ; Retrieved 379 generalization terms in 846 calls.
% 0.20/0.56 ; Retrieved 281 instance terms in 267 calls.
% 0.20/0.56 ; Retrieved 2,409 unifiable terms in 1,976 calls.
% 0.20/0.56 ;
% 0.20/0.56 ; The agenda of rows to process has 7 entries:
% 0.20/0.56 ; 4 with value 20 1 with value 28 1 with value 33
% 0.20/0.56 ; 1 with value 21
% 0.20/0.56 ; The agenda of rows to give has 145 entries:
% 0.20/0.56 ; 10 with value (4 16) 13 with value (4 23) 1 with value (4 31)
% 0.20/0.56 ; 14 with value (4 17) 6 with value (4 24) 1 with value (4 32)
% 0.20/0.56 ; 17 with value (4 18) 10 with value (4 25) 3 with value (4 33)
% 0.20/0.56 ; 12 with value (4 19) 3 with value (4 26) 2 with value (4 34)
% 0.20/0.56 ; 8 with value (4 20) 3 with value (4 27) 2 with value (4 35)
% 0.20/0.56 ; 15 with value (4 21) 12 with value (4 28) 1 with value (4 36)
% 0.20/0.56 ; 7 with value (4 22) 5 with value (4 30)
% 0.20/0.56 Evaluation took:
% 0.20/0.56 0.092 seconds of real time
% 0.20/0.56 0.076805 seconds of user run time
% 0.20/0.56 0.01468 seconds of system run time
% 0.20/0.56 0 calls to %EVAL
% 0.20/0.56 0 page faults and
% 0.20/0.56 5,539,672 bytes consed.
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-20T12:29:02
% 0.20/0.56 :PROOF-FOUND
% 0.20/0.56 *
%------------------------------------------------------------------------------