TSTP Solution File: SEU094+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU094+1 : TPTP v8.1.0. Released v3.2.0.
% 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 14:19:05 EDT 2022
% Result : Theorem 1.34s 1.52s
% Output : Refutation 1.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 7 unt; 6 nHn; 20 RR)
% Number of literals : 41 ( 0 equ; 17 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-1 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(23,axiom,
( ~ finite(X)
| in('SKOLEMAAAV2'(X),X)
| finite(union(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l22_finset_1) ).
cnf(24,axiom,
( ~ finite(X)
| ~ finite('SKOLEMAAAV2'(X))
| finite(union(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l22_finset_1) ).
cnf(74,axiom,
subset(X,powerset(union(X))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t100_zfmisc_1) ).
cnf(75,axiom,
( ~ subset(X,Y)
| ~ finite(Y)
| finite(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t13_finset_1) ).
cnf(77,axiom,
( ~ finite(X)
| finite(powerset(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t24_finset_1) ).
cnf(79,negated_conjecture,
( ~ finite('SKOLEMAAAV28')
| in('SKOLEMAAAV29','SKOLEMAAAV28')
| ~ finite(union('SKOLEMAAAV28')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_finset_1) ).
cnf(80,negated_conjecture,
( ~ finite('SKOLEMAAAV28')
| ~ finite('SKOLEMAAAV29')
| ~ finite(union('SKOLEMAAAV28')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_finset_1) ).
cnf(81,negated_conjecture,
( finite('SKOLEMAAAV28')
| finite(union('SKOLEMAAAV28')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_finset_1) ).
cnf(82,negated_conjecture,
( ~ in(X,'SKOLEMAAAV28')
| finite(X)
| finite(union('SKOLEMAAAV28')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_finset_1) ).
cnf(91,axiom,
( ~ in(X,Y)
| subset(X,union(Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t92_zfmisc_1) ).
cnf(165,plain,
( finite('SKOLEMAAAV28')
| finite(powerset(union('SKOLEMAAAV28'))) ),
inference('HYPERRESOLVE',[status(thm)],[77,81]) ).
cnf(1323,plain,
finite('SKOLEMAAAV28'),
inference('HYPERRESOLVE',[status(thm)],[75,165,74]) ).
cnf(1324,plain,
( in('SKOLEMAAAV29','SKOLEMAAAV28')
| ~ finite(union('SKOLEMAAAV28')) ),
inference('REWRITE',[status(thm)],[79,1323]) ).
cnf(1325,plain,
( ~ finite('SKOLEMAAAV29')
| ~ finite(union('SKOLEMAAAV28')) ),
inference('REWRITE',[status(thm)],[80,1323]) ).
cnf(1329,plain,
( in('SKOLEMAAAV2'('SKOLEMAAAV28'),'SKOLEMAAAV28')
| finite(union('SKOLEMAAAV28')) ),
inference('HYPERRESOLVE',[status(thm)],[23,1323]) ).
cnf(5617,plain,
( finite(union('SKOLEMAAAV28'))
| finite('SKOLEMAAAV2'('SKOLEMAAAV28')) ),
inference('HYPERRESOLVE',[status(thm)],[82,1329]) ).
cnf(7534,plain,
finite(union('SKOLEMAAAV28')),
inference('HYPERRESOLVE',[status(thm)],[24,5617,1323]) ).
cnf(7535,plain,
in('SKOLEMAAAV29','SKOLEMAAAV28'),
inference('REWRITE',[status(thm)],[1324,7534]) ).
cnf(7536,plain,
~ finite('SKOLEMAAAV29'),
inference('REWRITE',[status(thm)],[1325,7534]) ).
cnf(8147,plain,
subset('SKOLEMAAAV29',union('SKOLEMAAAV28')),
inference('HYPERRESOLVE',[status(thm)],[91,7535]) ).
cnf(8800,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[75,8147,7536]),7534]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SEU094+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.31 % Computer : n028.cluster.edu
% 0.12/0.31 % Model : x86_64 x86_64
% 0.12/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.31 % Memory : 8042.1875MB
% 0.12/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.31 % CPULimit : 300
% 0.12/0.31 % WCLimit : 600
% 0.12/0.31 % DateTime : Sun Jun 19 22:55:46 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 *
% 0.17/0.44 *
% 0.17/0.45 #<PACKAGE "SNARK-USER">
% 0.17/0.45 *
% 0.17/0.45 SNARK-TPTP-OPTIONS
% 0.17/0.45 *
% 0.17/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45 (USE-FACTORING :POS)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T22:55:46
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-19T22:55:46
% 0.17/0.47 WARNING:
% 0.17/0.47 |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.47 WARNING:
% 0.17/0.47 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.47 WARNING:
% 0.17/0.47 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.47 WARNING:
% 0.17/0.47 |function_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.47 WARNING:
% 0.17/0.47 |being_limit_ordinal| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.47 WARNING:
% 0.17/0.47 |transfinite_sequence| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.47 WARNING:
% 0.17/0.47 |ordinal_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.47 WARNING:
% 0.17/0.47 |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.47 WARNING:
% 0.17/0.47 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.17/0.47 WARNING:
% 0.17/0.47 |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.34/1.52
% 1.34/1.52
% 1.34/1.52 #||
% 1.34/1.52 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.34/1.52 % SZS output start Refutation
% See solution above
% 1.34/1.52 ||#
% 1.34/1.52
% 1.34/1.52 ; Summary of computation:
% 1.34/1.52 ; 21560 formulas have been input or derived (from 1708 formulas).
% 1.34/1.52 ; 8800 (41%) were retained. Of these,
% 1.34/1.52 ; 188 ( 2%) were simplified or subsumed later,
% 1.34/1.52 ; 8612 (98%) are still being kept.
% 1.34/1.52 ;
% 1.34/1.52 ; Run time in seconds excluding printing time:
% 1.34/1.52 ; 0.011 1% Read assertion file (1 call)
% 1.34/1.52 ; 0.001 0% Assert (60 calls)
% 1.34/1.52 ; 0.410 38% Process new row (17,219 calls)
% 1.34/1.52 ; 0.356 33% Resolution (3,414 calls)
% 1.34/1.52 ; 0.039 4% Paramodulation (1,707 calls)
% 1.34/1.52 ; 0.000 0% Factoring (25 calls)
% 1.34/1.52 ; 0.003 0% Condensing (807 calls)
% 1.34/1.52 ; 0.024 2% Forward subsumption (807 calls)
% 1.34/1.52 ; 0.024 2% Backward subsumption (513 calls)
% 1.34/1.52 ; 0.005 0% Clause clause subsumption (2,102 calls)
% 1.34/1.52 ; 0.086 8% Forward simplification (17,008 calls)
% 1.34/1.52 ; 0.026 2% Backward simplification (8,800 calls)
% 1.34/1.52 ; 0.000 0% Ordering (543 calls)
% 1.34/1.52 ; 0.000 0% Sortal reasoning (32 calls)
% 1.34/1.52 ; 0.001 0% Purity testing (1 call)
% 1.34/1.52 ; 0.088 8% Other
% 1.34/1.52 ; 1.074 Total
% 1.34/1.52 ; 1.076 Real time
% 1.34/1.52 ;
% 1.34/1.52 ; Term-hash-array has 13,633 terms in all.
% 1.34/1.52 ; Feature-vector-row-index has 482 entries (503 at peak, 513 added, 31 deleted).
% 1.34/1.52 ; Feature-vector-row-index has 1,440 nodes (1,550 at peak, 1,603 added, 163 deleted).
% 1.34/1.52 ; Retrieved 3,324 possibly forward subsuming rows in 807 calls.
% 1.34/1.52 ; Retrieved 698 possibly backward subsumed rows in 513 calls.
% 1.34/1.52 ; Path-index has 13,451 entries (13,451 at peak, 13,735 added, 284 deleted).
% 1.34/1.52 ; Path-index has 15,650 nodes (15,650 at peak, 15,891 added, 241 deleted).
% 1.34/1.52 ; Trie-index has 13,451 entries (13,451 at peak, 13,735 added, 284 deleted).
% 1.34/1.52 ; Trie-index has 29,776 nodes (29,776 at peak, 30,227 added, 451 deleted).
% 1.34/1.52 ; Retrieved 14,700 generalization terms in 23,413 calls.
% 1.34/1.52 ; Retrieved 8,558 instance terms in 8,286 calls.
% 1.34/1.52 ; Retrieved 120,369 unifiable terms in 32,969 calls.
% 1.34/1.52 ;
% 1.34/1.52 ; The agenda of rows to process has 1 entry:
% 1.34/1.52 ; 1 with value 10
% 1.34/1.52 ; The agenda of rows to give has 6942 entries:
% 1.34/1.52 ; 7 with value (4 7) 797 with value (4 17) 12 with value (4 26)
% 1.34/1.52 ; 20 with value (4 8) 610 with value (4 18) 3 with value (4 27)
% 1.34/1.52 ; 25 with value (4 9) 1064 with value (4 19) 54 with value (4 28)
% 1.34/1.52 ; 25 with value (4 10) 482 with value (4 20) 14 with value (4 29)
% 1.34/1.52 ; 54 with value (4 11) 649 with value (4 21) 98 with value (4 30)
% 1.34/1.52 ; 53 with value (4 12) 379 with value (4 22) 9 with value (4 31)
% 1.34/1.52 ; 59 with value (4 13) 170 with value (4 23) 14 with value (4 32)
% 1.34/1.52 ; 170 with value (4 14) 97 with value (4 24) 4 with value (4 34)
% 1.34/1.52 ; 1144 with value (4 15) 44 with value (4 25) 103 with value (4 35)
% 1.34/1.52 ; 782 with value (4 16)
% 1.34/1.52 Evaluation took:
% 1.34/1.52 1.077 seconds of real time
% 1.34/1.52 0.959953 seconds of user run time
% 1.34/1.52 0.117099 seconds of system run time
% 1.34/1.52 [Run times include 0.153 seconds GC run time.]
% 1.34/1.52 0 calls to %EVAL
% 1.34/1.52 0 page faults and
% 1.34/1.52 95,501,280 bytes consed.
% 1.34/1.52 :PROOF-FOUND
% 1.34/1.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T22:55:47
% 1.34/1.52 :PROOF-FOUND
% 1.34/1.52 *
%------------------------------------------------------------------------------