TSTP Solution File: SEU324+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU324+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 0.77s 0.95s
% Output : Refutation 0.77s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of clauses : 36 ( 17 unt; 8 nHn; 36 RR)
% Number of literals : 64 ( 23 equ; 21 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 16 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,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/sandbox/benchmark/theBenchmark.p',d1_tops_1) ).
cnf(2,axiom,
( ~ top_str(X)
| ~ element(Y,powerset(the_carrier(X)))
| element(interior(X,Y),powerset(the_carrier(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k1_tops_1) ).
cnf(3,axiom,
( ~ element(X,powerset(Y))
| element(subset_complement(Y,X),powerset(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k3_subset_1) ).
cnf(4,axiom,
( ~ top_str(X)
| ~ element(Y,powerset(the_carrier(X)))
| element(topstr_closure(X,Y),powerset(the_carrier(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k6_pre_topc) ).
cnf(10,axiom,
( ~ topological_space(X)
| ~ top_str(X)
| ~ element(Y,powerset(the_carrier(X)))
| open_subset(interior(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc6_tops_1) ).
cnf(11,axiom,
( ~ element(X,powerset(Y))
| subset_complement(Y,subset_complement(Y,X)) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',involutiveness_k3_subset_1) ).
cnf(20,axiom,
( ~ top_str(X)
| ~ element(Y,powerset(the_carrier(X)))
| ~ open_subset(Y,X)
| closed_subset(subset_complement(the_carrier(X),Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t30_tops_1) ).
cnf(24,axiom,
( ~ top_str(X)
| ~ element(Y,powerset(the_carrier(X)))
| ~ closed_subset(Y,X)
| topstr_closure(X,Y) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t52_pre_topc) ).
cnf(26,negated_conjecture,
topological_space('SKOLEMAAAW7'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_tops_1) ).
cnf(27,negated_conjecture,
top_str('SKOLEMAAAW7'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_tops_1) ).
cnf(28,negated_conjecture,
top_str('SKOLEMAAAW8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_tops_1) ).
cnf(29,negated_conjecture,
element('SKOLEMAAAW9',powerset(the_carrier('SKOLEMAAAW7'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_tops_1) ).
cnf(30,negated_conjecture,
element('SKOLEMAAAW10',powerset(the_carrier('SKOLEMAAAW8'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_tops_1) ).
cnf(31,negated_conjecture,
( open_subset('SKOLEMAAAW10','SKOLEMAAAW8')
| interior('SKOLEMAAAW7','SKOLEMAAAW9') = 'SKOLEMAAAW9' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_tops_1) ).
cnf(32,negated_conjecture,
( open_subset('SKOLEMAAAW10','SKOLEMAAAW8')
| ~ open_subset('SKOLEMAAAW9','SKOLEMAAAW7') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_tops_1) ).
cnf(33,negated_conjecture,
( interior('SKOLEMAAAW8','SKOLEMAAAW10') != 'SKOLEMAAAW10'
| interior('SKOLEMAAAW7','SKOLEMAAAW9') = 'SKOLEMAAAW9' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_tops_1) ).
cnf(34,negated_conjecture,
( interior('SKOLEMAAAW8','SKOLEMAAAW10') != 'SKOLEMAAAW10'
| ~ open_subset('SKOLEMAAAW9','SKOLEMAAAW7') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_tops_1) ).
cnf(43,plain,
element(subset_complement(the_carrier('SKOLEMAAAW8'),'SKOLEMAAAW10'),powerset(the_carrier('SKOLEMAAAW8'))),
inference('HYPERRESOLVE',[status(thm)],[3,30]) ).
cnf(49,plain,
subset_complement(the_carrier('SKOLEMAAAW8'),subset_complement(the_carrier('SKOLEMAAAW8'),'SKOLEMAAAW10')) = 'SKOLEMAAAW10',
inference('HYPERRESOLVE',[status(thm)],[11,30]) ).
cnf(52,plain,
element(interior('SKOLEMAAAW8','SKOLEMAAAW10'),powerset(the_carrier('SKOLEMAAAW8'))),
inference('HYPERRESOLVE',[status(thm)],[2,28,30]) ).
cnf(64,plain,
open_subset(interior('SKOLEMAAAW7','SKOLEMAAAW9'),'SKOLEMAAAW7'),
inference('HYPERRESOLVE',[status(thm)],[10,26,27,29]) ).
cnf(66,plain,
( interior('SKOLEMAAAW7','SKOLEMAAAW9') = 'SKOLEMAAAW9'
| closed_subset(subset_complement(the_carrier('SKOLEMAAAW8'),'SKOLEMAAAW10'),'SKOLEMAAAW8') ),
inference('HYPERRESOLVE',[status(thm)],[20,28,30,31]) ).
cnf(67,plain,
interior('SKOLEMAAAW8','SKOLEMAAAW10') = subset_complement(the_carrier('SKOLEMAAAW8'),topstr_closure('SKOLEMAAAW8',subset_complement(the_carrier('SKOLEMAAAW8'),'SKOLEMAAAW10'))),
inference('HYPERRESOLVE',[status(thm)],[1,28,30]) ).
cnf(129,plain,
subset_complement(the_carrier('SKOLEMAAAW8'),subset_complement(the_carrier('SKOLEMAAAW8'),interior('SKOLEMAAAW8','SKOLEMAAAW10'))) = interior('SKOLEMAAAW8','SKOLEMAAAW10'),
inference('HYPERRESOLVE',[status(thm)],[11,52]) ).
cnf(156,plain,
element(topstr_closure('SKOLEMAAAW8',subset_complement(the_carrier('SKOLEMAAAW8'),'SKOLEMAAAW10')),powerset(the_carrier('SKOLEMAAAW8'))),
inference('HYPERRESOLVE',[status(thm)],[4,43,28]) ).
cnf(432,plain,
subset_complement(the_carrier('SKOLEMAAAW8'),interior('SKOLEMAAAW8','SKOLEMAAAW10')) = topstr_closure('SKOLEMAAAW8',subset_complement(the_carrier('SKOLEMAAAW8'),'SKOLEMAAAW10')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,156]),67,theory(equality)]) ).
cnf(451,plain,
( interior('SKOLEMAAAW7','SKOLEMAAAW9') = 'SKOLEMAAAW9'
| subset_complement(the_carrier('SKOLEMAAAW8'),interior('SKOLEMAAAW8','SKOLEMAAAW10')) = subset_complement(the_carrier('SKOLEMAAAW8'),'SKOLEMAAAW10') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[24,66,28,43]),432,theory(equality)]) ).
cnf(964,plain,
( interior('SKOLEMAAAW7','SKOLEMAAAW9') = 'SKOLEMAAAW9'
| interior('SKOLEMAAAW8','SKOLEMAAAW10') = 'SKOLEMAAAW10' ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[129,451,theory(equality)]),49,theory(equality)]) ).
cnf(966,plain,
( interior('SKOLEMAAAW8','SKOLEMAAAW10') = 'SKOLEMAAAW10'
| open_subset('SKOLEMAAAW9','SKOLEMAAAW7') ),
inference('PARAMODULATE',[status(thm)],[64,964,theory(equality)]) ).
cnf(969,plain,
( interior('SKOLEMAAAW8','SKOLEMAAAW10') = 'SKOLEMAAAW10'
| open_subset('SKOLEMAAAW10','SKOLEMAAAW8') ),
inference('HYPERRESOLVE',[status(thm)],[32,966]) ).
cnf(970,plain,
( interior('SKOLEMAAAW8','SKOLEMAAAW10') = 'SKOLEMAAAW10'
| closed_subset(subset_complement(the_carrier('SKOLEMAAAW8'),'SKOLEMAAAW10'),'SKOLEMAAAW8') ),
inference('HYPERRESOLVE',[status(thm)],[20,969,28,30]) ).
cnf(971,plain,
( interior('SKOLEMAAAW8','SKOLEMAAAW10') = 'SKOLEMAAAW10'
| subset_complement(the_carrier('SKOLEMAAAW8'),interior('SKOLEMAAAW8','SKOLEMAAAW10')) = subset_complement(the_carrier('SKOLEMAAAW8'),'SKOLEMAAAW10') ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[24,970,28,43]),432,theory(equality)]) ).
cnf(1525,plain,
interior('SKOLEMAAAW8','SKOLEMAAAW10') = 'SKOLEMAAAW10',
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[129,971,theory(equality)]),49,theory(equality)]) ).
cnf(1526,plain,
interior('SKOLEMAAAW7','SKOLEMAAAW9') = 'SKOLEMAAAW9',
inference('REWRITE',[status(thm)],[33,1525,theory(equality)]) ).
cnf(1527,plain,
open_subset('SKOLEMAAAW9','SKOLEMAAAW7'),
inference('REWRITE',[status(thm)],[64,1526,theory(equality)]) ).
cnf(1531,plain,
$false,
inference('REWRITE',[status(thm)],[34,1527,1525,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : SEU324+1 : TPTP v8.1.0. Released v3.3.0.
% 0.08/0.15 % Command : run-snark %s %d
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Sun Jun 19 06:26:22 EDT 2022
% 0.14/0.37 % CPUTime :
% 0.22/0.50 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.22/0.51 *
% 0.22/0.51 *
% 0.22/0.51 #<PACKAGE "SNARK-USER">
% 0.22/0.51 *
% 0.22/0.51 SNARK-TPTP-OPTIONS
% 0.22/0.51 *
% 0.22/0.51 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.51 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.51 (USE-FACTORING :POS)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.51 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.51 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.51 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.51 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.51 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.52 (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.52 *
% 0.22/0.52 "."
% 0.22/0.52 *
% 0.22/0.52 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T06:26:23
% 0.22/0.52 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-06-19T06:26:23
% 0.22/0.53 WARNING:
% 0.22/0.53 |one_sorted_str| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.77/0.95
% 0.77/0.95
% 0.77/0.95 #||
% 0.77/0.95 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.77/0.95 % SZS output start Refutation
% See solution above
% 0.77/0.95 ||#
% 0.77/0.95
% 0.77/0.95 ; Summary of computation:
% 0.77/0.95 ; 4446 formulas have been input or derived (from 553 formulas).
% 0.77/0.95 ; 1531 (34%) were retained. Of these,
% 0.77/0.95 ; 816 (53%) were simplified or subsumed later,
% 0.77/0.95 ; 715 (47%) are still being kept.
% 0.77/0.95 ;
% 0.77/0.95 ; Run time in seconds excluding printing time:
% 0.77/0.95 ; 0.007 2% Read assertion file (1 call)
% 0.77/0.95 ; 0.001 0% Assert (25 calls)
% 0.77/0.95 ; 0.141 32% Process new row (3,199 calls)
% 0.77/0.95 ; 0.087 20% Resolution (1,104 calls)
% 0.77/0.95 ; 0.016 4% Paramodulation (552 calls)
% 0.77/0.95 ; 0.000 0% Factoring (12 calls)
% 0.77/0.95 ; 0.001 0% Condensing (95 calls)
% 0.77/0.95 ; 0.003 1% Forward subsumption (95 calls)
% 0.77/0.95 ; 0.003 1% Backward subsumption (77 calls)
% 0.77/0.95 ; 0.001 0% Clause clause subsumption (24 calls)
% 0.77/0.95 ; 0.053 12% Forward simplification (3,149 calls)
% 0.77/0.95 ; 0.069 16% Backward simplification (1,531 calls)
% 0.77/0.95 ; 0.009 2% Ordering (1,448 calls)
% 0.77/0.95 ; 0.000 0% Sortal reasoning (32 calls)
% 0.77/0.95 ; 0.000 0% Purity testing (1 call)
% 0.77/0.95 ; 0.044 10% Other
% 0.77/0.95 ; 0.435 Total
% 0.77/0.95 ; 0.438 Real time
% 0.77/0.95 ;
% 0.77/0.95 ; Term-hash-array has 2,523 terms in all.
% 0.77/0.95 ; Feature-vector-row-index has 51 entries (75 at peak, 77 added, 26 deleted).
% 0.77/0.95 ; Feature-vector-row-index has 590 nodes (911 at peak, 941 added, 351 deleted).
% 0.77/0.95 ; Retrieved 28 possibly forward subsuming rows in 95 calls.
% 0.77/0.95 ; Retrieved 5 possibly backward subsumed rows in 77 calls.
% 0.77/0.95 ; Path-index has 1,272 entries (1,547 at peak, 2,534 added, 1,262 deleted).
% 0.77/0.95 ; Path-index has 5,901 nodes (6,406 at peak, 9,209 added, 3,308 deleted).
% 0.77/0.95 ; Trie-index has 1,272 entries (1,547 at peak, 2,534 added, 1,262 deleted).
% 0.77/0.95 ; Trie-index has 8,358 nodes (9,930 at peak, 18,565 added, 10,207 deleted).
% 0.77/0.95 ; Retrieved 3,434 generalization terms in 11,110 calls.
% 0.77/0.95 ; Retrieved 1,471 instance terms in 1,453 calls.
% 0.77/0.95 ; Retrieved 22,126 unifiable terms in 18,194 calls.
% 0.77/0.95 ;
% 0.77/0.95 ; The agenda of backward simplifiable rows to process has 131 entries:
% 0.77/0.95 ; 131 with value 0
% 0.77/0.95 ; The agenda of rows to process has 15 entries:
% 0.77/0.95 ; 2 with value 31 4 with value 34 1 with value 36
% 0.77/0.95 ; 2 with value 32 4 with value 35 1 with value 44
% 0.77/0.95 ; 1 with value 33
% 0.77/0.95 ; The agenda of input rows to give has 2 entries:
% 0.77/0.95 ; 1 with value 4 1 with value 7
% 0.77/0.95 ; The agenda of rows to give has 381 entries:
% 0.77/0.95 ; 1 with value (4 5) 19 with value (4 35) 9 with value (4 46)
% 0.77/0.95 ; 1 with value (4 11) 12 with value (4 36) 10 with value (4 47)
% 0.77/0.95 ; 1 with value (4 15) 19 with value (4 37) 14 with value (4 48)
% 0.77/0.95 ; 1 with value (4 18) 15 with value (4 38) 2 with value (4 50)
% 0.77/0.95 ; 11 with value (4 28) 7 with value (4 39) 6 with value (4 51)
% 0.77/0.95 ; 50 with value (4 29) 12 with value (4 40) 4 with value (4 52)
% 0.77/0.95 ; 35 with value (4 30) 8 with value (4 41) 4 with value (4 53)
% 0.77/0.95 ; 17 with value (4 31) 15 with value (4 42) 2 with value (4 54)
% 0.77/0.95 ; 35 with value (4 32) 13 with value (4 43) 1 with value (4 55)
% 0.77/0.95 ; 18 with value (4 33) 2 with value (4 44) 2 with value (4 57)
% 0.77/0.95 ; 28 with value (4 34) 7 with value (4 45)
% 0.77/0.95 Evaluation took:
% 0.77/0.95 0.439 seconds of real time
% 0.77/0.95 0.408775 seconds of user run time
% 0.77/0.95 0.029855 seconds of system run time
% 0.77/0.95 [Run times include 0.025 seconds GC run time.]
% 0.77/0.95 0 calls to %EVAL
% 0.77/0.95 0 page faults and
% 0.77/0.95 32,052,208 bytes consed.
% 0.77/0.95 :PROOF-FOUND
% 0.77/0.95 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T06:26:23
% 0.77/0.95 :PROOF-FOUND
% 0.77/0.95 *
%------------------------------------------------------------------------------