TSTP Solution File: SEU388+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU388+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n032.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 14:22:11 EDT 2022
% Result : Theorem 1.61s 1.78s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 10
% Syntax : Number of clauses : 17 ( 9 unt; 6 nHn; 17 RR)
% Number of literals : 41 ( 5 equ; 22 neg)
% Maximal clause size : 7 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(34,axiom,
( empty_carrier(X)
| ~ topological_space(X)
| ~ top_str(X)
| ~ element(Y,the_carrier(X))
| neighborhood_system(X,Y) = a_2_0_yellow19(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_yellow19) ).
cnf(77,axiom,
( empty_carrier(X)
| ~ topological_space(X)
| ~ top_str(X)
| ~ element(Y,the_carrier(X))
| ~ in(Z,a_2_0_yellow19(X,Y))
| point_neighbourhood('SKOLEMAAAO8'(X,Y,Z),X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_yellow19) ).
cnf(78,axiom,
( empty_carrier(X)
| ~ topological_space(X)
| ~ top_str(X)
| ~ element(Y,the_carrier(X))
| ~ in(Z,a_2_0_yellow19(X,Y))
| Z = 'SKOLEMAAAO8'(X,Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_yellow19) ).
cnf(79,axiom,
( empty_carrier(X)
| ~ topological_space(X)
| ~ top_str(X)
| ~ element(Y,the_carrier(X))
| in(Z,a_2_0_yellow19(X,Y))
| ~ point_neighbourhood(U,X,Y)
| Z != U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fraenkel_a_2_0_yellow19) ).
cnf(223,negated_conjecture,
~ empty_carrier('SKOLEMAAAO44'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_yellow19) ).
cnf(224,negated_conjecture,
topological_space('SKOLEMAAAO44'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_yellow19) ).
cnf(225,negated_conjecture,
top_str('SKOLEMAAAO44'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_yellow19) ).
cnf(226,negated_conjecture,
element('SKOLEMAAAO45',the_carrier('SKOLEMAAAO44')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_yellow19) ).
cnf(227,negated_conjecture,
( ~ in('SKOLEMAAAO46',neighborhood_system('SKOLEMAAAO44','SKOLEMAAAO45'))
| ~ point_neighbourhood('SKOLEMAAAO46','SKOLEMAAAO44','SKOLEMAAAO45') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_yellow19) ).
cnf(228,negated_conjecture,
( in('SKOLEMAAAO46',neighborhood_system('SKOLEMAAAO44','SKOLEMAAAO45'))
| point_neighbourhood('SKOLEMAAAO46','SKOLEMAAAO44','SKOLEMAAAO45') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_yellow19) ).
cnf(557,plain,
neighborhood_system('SKOLEMAAAO44','SKOLEMAAAO45') = a_2_0_yellow19('SKOLEMAAAO44','SKOLEMAAAO45'),
inference('UR-RESOLVE',[status(thm)],[34,223,224,225,226]) ).
cnf(558,plain,
( ~ in('SKOLEMAAAO46',a_2_0_yellow19('SKOLEMAAAO44','SKOLEMAAAO45'))
| ~ point_neighbourhood('SKOLEMAAAO46','SKOLEMAAAO44','SKOLEMAAAO45') ),
inference('REWRITE',[status(thm)],[227,557,theory(equality)]) ).
cnf(559,plain,
( in('SKOLEMAAAO46',a_2_0_yellow19('SKOLEMAAAO44','SKOLEMAAAO45'))
| point_neighbourhood('SKOLEMAAAO46','SKOLEMAAAO44','SKOLEMAAAO45') ),
inference('REWRITE',[status(thm)],[228,557,theory(equality)]) ).
cnf(578,plain,
in('SKOLEMAAAO46',a_2_0_yellow19('SKOLEMAAAO44','SKOLEMAAAO45')),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[79,224,225,226,559,theory(equality)]),223]) ).
cnf(579,plain,
~ point_neighbourhood('SKOLEMAAAO46','SKOLEMAAAO44','SKOLEMAAAO45'),
inference('REWRITE',[status(thm)],[558,578]) ).
cnf(14447,plain,
'SKOLEMAAAO46' = 'SKOLEMAAAO8'('SKOLEMAAAO44','SKOLEMAAAO45','SKOLEMAAAO46'),
inference('UR-RESOLVE',[status(thm)],[78,578,223,224,225,226]) ).
cnf(14448,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[77,578,223,224,225,226]),579,14447,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SEU388+1 : TPTP v8.1.0. Released v3.3.0.
% 0.10/0.11 % Command : run-snark %s %d
% 0.11/0.30 % Computer : n032.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Mon Jun 20 10:41:49 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.15/0.38 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.15/0.39 *
% 0.15/0.39 *
% 0.15/0.40 #<PACKAGE "SNARK-USER">
% 0.15/0.40 *
% 0.15/0.40 SNARK-TPTP-OPTIONS
% 0.15/0.40 *
% 0.15/0.40 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.15/0.40 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.15/0.40 (USE-FACTORING :POS)
% 0.15/0.40 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.15/0.40 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.15/0.40 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.15/0.40 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.15/0.40 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.15/0.40 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.15/0.40 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.15/0.40 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.15/0.40 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.15/0.40 (DECLARE-TPTP-SYMBOLS2))
% 0.15/0.40 *
% 0.15/0.40 "."
% 0.15/0.40 *
% 0.15/0.40 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T10:41:49
% 0.15/0.40 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-20T10:41:49
% 0.15/0.43 WARNING:
% 0.15/0.43 |v1_yellow_3| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |connected_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |v1_membered| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |v2_membered| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |v3_membered| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |v4_membered| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |v5_membered| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |lower_relstr_subset| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |upper_relstr_subset| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |distributive_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |heyting_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |complemented_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |boolean_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |directed_subset| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |filtered_subset| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |directed_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.15/0.43 WARNING:
% 0.15/0.43 |dense| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 1.61/1.78
% 1.61/1.78
% 1.61/1.78 #||
% 1.61/1.78 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.61/1.78 % SZS output start Refutation
% See solution above
% 1.61/1.78 ||#
% 1.61/1.78
% 1.61/1.78 ; Summary of computation:
% 1.61/1.78 ; 16909 formulas have been input or derived (from 442 formulas).
% 1.61/1.78 ; 14448 (85%) were retained. Of these,
% 1.61/1.78 ; 27 ( 0%) were simplified or subsumed later,
% 1.61/1.78 ; 14421 (100%) are still being kept.
% 1.61/1.78 ;
% 1.61/1.78 ; Run time in seconds excluding printing time:
% 1.61/1.78 ; 0.019 1% Read assertion file (1 call)
% 1.61/1.78 ; 0.005 0% Assert (119 calls)
% 1.61/1.78 ; 0.719 52% Process new row (16,703 calls)
% 1.61/1.78 ; 0.399 29% Resolution (882 calls)
% 1.61/1.78 ; 0.003 0% Paramodulation (441 calls)
% 1.61/1.78 ; 0.000 0% Factoring (8 calls)
% 1.61/1.78 ; 0.001 0% Condensing (351 calls)
% 1.61/1.78 ; 0.011 1% Forward subsumption (351 calls)
% 1.61/1.78 ; 0.004 0% Backward subsumption (327 calls)
% 1.61/1.78 ; 0.001 0% Clause clause subsumption (305 calls)
% 1.61/1.78 ; 0.086 6% Forward simplification (16,590 calls)
% 1.61/1.78 ; 0.065 5% Backward simplification (14,448 calls)
% 1.61/1.78 ; 0.000 0% Ordering (576 calls)
% 1.61/1.78 ; 0.000 0% Sortal reasoning (32 calls)
% 1.61/1.78 ; 0.002 0% Purity testing (1 call)
% 1.61/1.78 ; 0.070 5% Other
% 1.61/1.78 ; 1.385 Total
% 1.61/1.78 ; 1.387 Real time
% 1.61/1.78 ;
% 1.61/1.78 ; Term-hash-array has 26,966 terms in all.
% 1.61/1.78 ; Feature-vector-row-index has 320 entries (320 at peak, 327 added, 7 deleted).
% 1.61/1.78 ; Feature-vector-row-index has 881 nodes (881 at peak, 955 added, 74 deleted).
% 1.61/1.78 ; Retrieved 304 possibly forward subsuming rows in 351 calls.
% 1.61/1.78 ; Retrieved 194 possibly backward subsumed rows in 327 calls.
% 1.61/1.78 ; Path-index has 26,963 entries (26,963 at peak, 26,989 added, 26 deleted).
% 1.61/1.78 ; Path-index has 4,889 nodes (4,889 at peak, 4,918 added, 29 deleted).
% 1.61/1.78 ; Trie-index has 26,963 entries (26,963 at peak, 26,989 added, 26 deleted).
% 1.61/1.78 ; Trie-index has 37,601 nodes (37,601 at peak, 37,662 added, 61 deleted).
% 1.61/1.78 ; Retrieved 2,817 generalization terms in 17,125 calls.
% 1.61/1.78 ; Retrieved 14,167 instance terms in 14,120 calls.
% 1.61/1.78 ; Retrieved 994,248 unifiable terms in 25,071 calls.
% 1.61/1.78 ;
% 1.61/1.78 ; The agenda of rows to process has 2 entries:
% 1.61/1.78 ; 1 with value 13 1 with value 14
% 1.61/1.78 ; The agenda of rows to give has 13989 entries:
% 1.61/1.78 ; 19 with value (4 8) 87 with value (4 15) 6 with value (4 28)
% 1.61/1.79 ; 374 with value (4 9) 36 with value (4 16) 2 with value (4 31)
% 1.61/1.79 ; 587 with value (4 10) 1 with value (4 17) 2 with value (4 33)
% 1.61/1.79 ; 3840 with value (4 11) 1 with value (4 18) 2 with value (4 36)
% 1.61/1.79 ; 5725 with value (4 12) 2 with value (4 19) 2 with value (4 49)
% 1.61/1.79 ; 1999 with value (4 13) 2 with value (4 20) 2 with value (4 52)
% 1.61/1.79 ; 1286 with value (4 14) 14 with value (4 26)
% 1.61/1.79 Evaluation took:
% 1.61/1.79 1.389 seconds of real time
% 1.61/1.79 1.277033 seconds of user run time
% 1.61/1.79 0.111199 seconds of system run time
% 1.61/1.79 [Run times include 0.218 seconds GC run time.]
% 1.61/1.79 0 calls to %EVAL
% 1.61/1.79 0 page faults and
% 1.61/1.79 110,533,712 bytes consed.
% 1.61/1.79 :PROOF-FOUND
% 1.61/1.79 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T10:41:50
% 1.61/1.79 :PROOF-FOUND
% 1.61/1.79 *
%------------------------------------------------------------------------------