TSTP Solution File: SEU341+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU341+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 14:21:27 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 10
% Syntax : Number of clauses : 13 ( 11 unt; 1 nHn; 13 RR)
% Number of literals : 25 ( 2 equ; 14 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(27,axiom,
( empty_carrier(X)
| ~ topological_space(X)
| ~ top_str(X)
| ~ element(Y,the_carrier(X))
| ~ element(Z,powerset(the_carrier(X)))
| point_neighbourhood(Z,X,Y)
| ~ in(Y,interior(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_connsp_2) ).
cnf(56,axiom,
( ~ topological_space(X)
| ~ top_str(X)
| ~ top_str(Y)
| ~ element(Z,powerset(the_carrier(X)))
| ~ element(U,powerset(the_carrier(Y)))
| ~ open_subset(U,Y)
| interior(Y,U) = U ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t55_tops_1) ).
cnf(59,negated_conjecture,
~ empty_carrier('SKOLEMAAAV8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_connsp_2) ).
cnf(60,negated_conjecture,
topological_space('SKOLEMAAAV8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_connsp_2) ).
cnf(61,negated_conjecture,
top_str('SKOLEMAAAV8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_connsp_2) ).
cnf(62,negated_conjecture,
element('SKOLEMAAAV9',powerset(the_carrier('SKOLEMAAAV8'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_connsp_2) ).
cnf(63,negated_conjecture,
element('SKOLEMAAAV10',the_carrier('SKOLEMAAAV8')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_connsp_2) ).
cnf(64,negated_conjecture,
open_subset('SKOLEMAAAV9','SKOLEMAAAV8'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_connsp_2) ).
cnf(65,negated_conjecture,
in('SKOLEMAAAV10','SKOLEMAAAV9'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_connsp_2) ).
cnf(66,negated_conjecture,
~ point_neighbourhood('SKOLEMAAAV9','SKOLEMAAAV8','SKOLEMAAAV10'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_connsp_2) ).
cnf(126,plain,
~ in('SKOLEMAAAV10',interior('SKOLEMAAAV8','SKOLEMAAAV9')),
inference('UR-RESOLVE',[status(thm)],[27,59,60,61,63,62,66]) ).
cnf(127,plain,
interior('SKOLEMAAAV8','SKOLEMAAAV9') = 'SKOLEMAAAV9',
inference('HYPERRESOLVE',[status(thm)],[56,60,61,61,62,62,64]) ).
cnf(128,plain,
$false,
inference('REWRITE',[status(thm)],[126,65,127,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU341+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Sun Jun 19 10:50:29 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T10:50:30
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-19T10:50:30
% 0.18/0.49 WARNING:
% 0.18/0.49 |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49 WARNING:
% 0.18/0.49 |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49 WARNING:
% 0.18/0.49 |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49 WARNING:
% 0.18/0.49 |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49 WARNING:
% 0.18/0.49 |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.49 WARNING:
% 0.18/0.49 |one_sorted_str| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.52
% 0.18/0.52
% 0.18/0.52 #||
% 0.18/0.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52 % SZS output start Refutation
% See solution above
% 0.18/0.52 ||#
% 0.18/0.52
% 0.18/0.52 ; Summary of computation:
% 0.18/0.52 ; 347 formulas have been input or derived (from 71 formulas).
% 0.18/0.52 ; 128 (37%) were retained. Of these,
% 0.18/0.52 ; 11 ( 9%) were simplified or subsumed later,
% 0.18/0.52 ; 117 (91%) are still being kept.
% 0.18/0.52 ;
% 0.18/0.52 ; Run time in seconds excluding printing time:
% 0.18/0.52 ; 0.009 16% Read assertion file (1 call)
% 0.18/0.52 ; 0.001 2% Assert (45 calls)
% 0.18/0.52 ; 0.005 9% Process new row (275 calls)
% 0.18/0.52 ; 0.010 17% Resolution (140 calls)
% 0.18/0.52 ; 0.000 0% Paramodulation (70 calls)
% 0.18/0.52 ; 0.000 0% Factoring (1 call)
% 0.18/0.52 ; 0.001 2% Condensing (48 calls)
% 0.18/0.52 ; 0.000 0% Forward subsumption (48 calls)
% 0.18/0.52 ; 0.002 3% Backward subsumption (48 calls)
% 0.18/0.52 ; 0.000 0% Clause clause subsumption (7 calls)
% 0.18/0.52 ; 0.001 2% Forward simplification (258 calls)
% 0.18/0.52 ; 0.001 2% Backward simplification (127 calls)
% 0.18/0.52 ; 0.000 0% Ordering (17 calls)
% 0.18/0.52 ; 0.001 2% Sortal reasoning (32 calls)
% 0.18/0.52 ; 0.001 2% Purity testing (1 call)
% 0.18/0.52 ; 0.026 45% Other
% 0.18/0.52 ; 0.058 Total
% 0.18/0.52 ; 0.061 Real time
% 0.18/0.52 ;
% 0.18/0.52 ; Term-hash-array has 165 terms in all.
% 0.18/0.52 ; Feature-vector-row-index has 47 entries (47 at peak, 48 added, 1 deleted).
% 0.18/0.52 ; Feature-vector-row-index has 158 nodes (158 at peak, 167 added, 9 deleted).
% 0.18/0.52 ; Retrieved 9 possibly forward subsuming rows in 48 calls.
% 0.18/0.52 ; Retrieved 4 possibly backward subsumed rows in 48 calls.
% 0.18/0.52 ; Path-index has 162 entries (164 at peak, 172 added, 10 deleted).
% 0.18/0.52 ; Path-index has 289 nodes (292 at peak, 300 added, 11 deleted).
% 0.18/0.52 ; Trie-index has 162 entries (164 at peak, 172 added, 10 deleted).
% 0.18/0.52 ; Trie-index has 318 nodes (325 at peak, 343 added, 25 deleted).
% 0.18/0.52 ; Retrieved 165 generalization terms in 268 calls.
% 0.18/0.52 ; Retrieved 90 instance terms in 78 calls.
% 0.18/0.52 ; Retrieved 3,282 unifiable terms in 966 calls.
% 0.18/0.52 ;
% 0.18/0.52 ; The agenda of rows to process has 1 entry:
% 0.18/0.52 ; 1 with value 13
% 0.18/0.52 ; The agenda of rows to give has 48 entries:
% 0.18/0.52 ; 1 with value (4 4) 13 with value (4 8) 1 with value (4 14)
% 0.18/0.52 ; 4 with value (4 5) 4 with value (4 9) 1 with value (4 15)
% 0.18/0.52 ; 7 with value (4 6) 3 with value (4 10) 2 with value (4 16)
% 0.18/0.52 ; 7 with value (4 7) 4 with value (4 11) 1 with value (4 19)
% 0.18/0.52 Evaluation took:
% 0.18/0.52 0.061 seconds of real time
% 0.18/0.52 0.054141 seconds of user run time
% 0.18/0.52 0.007053 seconds of system run time
% 0.18/0.52 0 calls to %EVAL
% 0.18/0.52 0 page faults and
% 0.18/0.52 3,542,048 bytes consed.
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T10:50:30
% 0.18/0.52 :PROOF-FOUND
% 0.18/0.52 *
%------------------------------------------------------------------------------