TSTP Solution File: SEU235+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU235+3 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n025.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 14:20:28 EDT 2022
% Result : Theorem 0.80s 0.97s
% Output : Refutation 0.80s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 20
% Syntax : Number of clauses : 42 ( 22 unt; 4 nHn; 41 RR)
% Number of literals : 78 ( 6 equ; 41 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 3 con; 0-1 aty)
% Number of variables : 34 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ ordinal(X)
| epsilon_transitive(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',cc1_ordinal1) ).
cnf(9,axiom,
( ~ epsilon_transitive(X)
| ~ in(Y,X)
| subset(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_ordinal1) ).
cnf(12,axiom,
element('SKOLEMAAAV2'(X),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
cnf(34,axiom,
( ~ ordinal(X)
| ~ ordinal(Y)
| ordinal_subset(X,Y)
| ~ subset(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_r1_ordinal1) ).
cnf(35,axiom,
( ~ ordinal(X)
| ~ ordinal(Y)
| ordinal_subset(X,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_ordinal1) ).
cnf(36,plain,
( ~ ordinal(X)
| ordinal_subset(X,X) ),
inference('CONDENSE',[status(thm)],[35]) ).
cnf(39,axiom,
( ~ ordinal(X)
| ~ in(Y,X)
| ordinal(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t23_ordinal1) ).
cnf(40,axiom,
( ~ ordinal(X)
| ~ ordinal(Y)
| in(X,Y)
| X = Y
| in(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t24_ordinal1) ).
cnf(41,axiom,
( ~ element(X,Y)
| empty(Y)
| in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
cnf(42,negated_conjecture,
ordinal('SKOLEMAAAV17'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_ordinal1) ).
cnf(43,negated_conjecture,
subset('SKOLEMAAAV16','SKOLEMAAAV17'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_ordinal1) ).
cnf(44,negated_conjecture,
'SKOLEMAAAV16' != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_ordinal1) ).
cnf(45,negated_conjecture,
( ~ ordinal(X)
| ~ in(X,'SKOLEMAAAV16')
| ordinal('SKOLEMAAAV18'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_ordinal1) ).
cnf(46,negated_conjecture,
( ~ ordinal(X)
| ~ in(X,'SKOLEMAAAV16')
| in('SKOLEMAAAV18'(X),'SKOLEMAAAV16') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_ordinal1) ).
cnf(47,negated_conjecture,
( ~ ordinal(X)
| ~ in(X,'SKOLEMAAAV16')
| ~ ordinal_subset(X,'SKOLEMAAAV18'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t32_ordinal1) ).
cnf(49,axiom,
( element(X,powerset(Y))
| ~ subset(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
cnf(50,axiom,
( ~ in(X,Y)
| ~ element(Y,powerset(Z))
| element(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t4_subset) ).
cnf(51,axiom,
( ~ in(X,Y)
| ~ element(Y,powerset(Z))
| ~ empty(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_subset) ).
cnf(52,axiom,
( ~ empty(X)
| X = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
cnf(54,axiom,
( ~ in(X,Y)
| in('SKOLEMAAAV19'(Y),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tarski) ).
cnf(55,axiom,
( ~ in(X,Y)
| ~ in(Z,Y)
| ~ in(Z,'SKOLEMAAAV19'(Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_tarski) ).
cnf(56,plain,
( ~ in(X,Y)
| ~ in(X,'SKOLEMAAAV19'(Y)) ),
inference('CONDENSE',[status(thm)],[55]) ).
cnf(74,plain,
~ empty('SKOLEMAAAV16'),
inference('UR-RESOLVE',[status(thm)],[52,44]) ).
cnf(82,plain,
element('SKOLEMAAAV16',powerset('SKOLEMAAAV17')),
inference('HYPERRESOLVE',[status(thm)],[49,43]) ).
cnf(104,plain,
in('SKOLEMAAAV2'('SKOLEMAAAV16'),'SKOLEMAAAV16'),
inference('UR-RESOLVE',[status(thm)],[41,74,12]) ).
cnf(132,plain,
~ empty('SKOLEMAAAV17'),
inference('UR-RESOLVE',[status(thm)],[51,104,82]) ).
cnf(133,plain,
in('SKOLEMAAAV19'('SKOLEMAAAV16'),'SKOLEMAAAV16'),
inference('HYPERRESOLVE',[status(thm)],[54,104]) ).
cnf(195,plain,
element('SKOLEMAAAV19'('SKOLEMAAAV16'),'SKOLEMAAAV17'),
inference('HYPERRESOLVE',[status(thm)],[50,133,82]) ).
cnf(264,plain,
in('SKOLEMAAAV19'('SKOLEMAAAV16'),'SKOLEMAAAV17'),
inference('UR-RESOLVE',[status(thm)],[41,195,132]) ).
cnf(374,plain,
ordinal('SKOLEMAAAV19'('SKOLEMAAAV16')),
inference('HYPERRESOLVE',[status(thm)],[39,264,42]) ).
cnf(413,plain,
ordinal('SKOLEMAAAV18'('SKOLEMAAAV19'('SKOLEMAAAV16'))),
inference('HYPERRESOLVE',[status(thm)],[45,374,133]) ).
cnf(414,plain,
ordinal_subset('SKOLEMAAAV19'('SKOLEMAAAV16'),'SKOLEMAAAV19'('SKOLEMAAAV16')),
inference('HYPERRESOLVE',[status(thm)],[36,374]) ).
cnf(415,plain,
in('SKOLEMAAAV18'('SKOLEMAAAV19'('SKOLEMAAAV16')),'SKOLEMAAAV16'),
inference('HYPERRESOLVE',[status(thm)],[46,374,133]) ).
cnf(416,plain,
~ ordinal_subset('SKOLEMAAAV19'('SKOLEMAAAV16'),'SKOLEMAAAV18'('SKOLEMAAAV19'('SKOLEMAAAV16'))),
inference('UR-RESOLVE',[status(thm)],[47,374,133]) ).
cnf(600,plain,
epsilon_transitive('SKOLEMAAAV18'('SKOLEMAAAV19'('SKOLEMAAAV16'))),
inference('HYPERRESOLVE',[status(thm)],[2,413]) ).
cnf(624,plain,
( in('SKOLEMAAAV18'('SKOLEMAAAV19'('SKOLEMAAAV16')),'SKOLEMAAAV19'('SKOLEMAAAV16'))
| 'SKOLEMAAAV18'('SKOLEMAAAV19'('SKOLEMAAAV16')) = 'SKOLEMAAAV19'('SKOLEMAAAV16')
| in('SKOLEMAAAV19'('SKOLEMAAAV16'),'SKOLEMAAAV18'('SKOLEMAAAV19'('SKOLEMAAAV16'))) ),
inference('HYPERRESOLVE',[status(thm)],[40,413,374]) ).
cnf(852,plain,
~ in('SKOLEMAAAV18'('SKOLEMAAAV19'('SKOLEMAAAV16')),'SKOLEMAAAV19'('SKOLEMAAAV16')),
inference('UR-RESOLVE',[status(thm)],[56,415]) ).
cnf(853,plain,
( 'SKOLEMAAAV18'('SKOLEMAAAV19'('SKOLEMAAAV16')) = 'SKOLEMAAAV19'('SKOLEMAAAV16')
| in('SKOLEMAAAV19'('SKOLEMAAAV16'),'SKOLEMAAAV18'('SKOLEMAAAV19'('SKOLEMAAAV16'))) ),
inference('REWRITE',[status(thm)],[624,852]) ).
cnf(1145,plain,
~ subset('SKOLEMAAAV19'('SKOLEMAAAV16'),'SKOLEMAAAV18'('SKOLEMAAAV19'('SKOLEMAAAV16'))),
inference('UR-RESOLVE',[status(thm)],[34,416,374,413]) ).
cnf(1393,plain,
~ in('SKOLEMAAAV19'('SKOLEMAAAV16'),'SKOLEMAAAV18'('SKOLEMAAAV19'('SKOLEMAAAV16'))),
inference('UR-RESOLVE',[status(thm)],[9,1145,600]) ).
cnf(1394,plain,
'SKOLEMAAAV18'('SKOLEMAAAV19'('SKOLEMAAAV16')) = 'SKOLEMAAAV19'('SKOLEMAAAV16'),
inference('REWRITE',[status(thm)],[853,1393]) ).
cnf(1395,plain,
$false,
inference('REWRITE',[status(thm)],[416,414,1394,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU235+3 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n025.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 23:56:58 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T23:56:58
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n025.cluster.edu at 2022-06-18T23:56:58
% 0.19/0.49 WARNING:
% 0.19/0.49 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |relation_non_empty| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.49 WARNING:
% 0.19/0.49 |relation| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.80/0.97
% 0.80/0.97
% 0.80/0.97 #||
% 0.80/0.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.80/0.97 % SZS output start Refutation
% See solution above
% 0.80/0.98 ||#
% 0.80/0.98
% 0.80/0.98 ; Summary of computation:
% 0.80/0.98 ; 3969 formulas have been input or derived (from 441 formulas).
% 0.80/0.98 ; 1395 (35%) were retained. Of these,
% 0.80/0.98 ; 514 (37%) were simplified or subsumed later,
% 0.80/0.98 ; 881 (63%) are still being kept.
% 0.80/0.98 ;
% 0.80/0.98 ; Run time in seconds excluding printing time:
% 0.80/0.98 ; 0.008 2% Read assertion file (1 call)
% 0.80/0.98 ; 0.002 0% Assert (42 calls)
% 0.80/0.98 ; 0.084 17% Process new row (3,387 calls)
% 0.80/0.98 ; 0.059 12% Resolution (880 calls)
% 0.80/0.98 ; 0.013 3% Paramodulation (440 calls)
% 0.80/0.98 ; 0.001 0% Factoring (220 calls)
% 0.80/0.98 ; 0.005 1% Condensing (2,168 calls)
% 0.80/0.98 ; 0.136 27% Forward subsumption (2,168 calls)
% 0.80/0.98 ; 0.029 6% Backward subsumption (1,160 calls)
% 0.80/0.98 ; 0.014 3% Clause clause subsumption (4,313 calls)
% 0.80/0.98 ; 0.063 13% Forward simplification (3,336 calls)
% 0.80/0.98 ; 0.023 5% Backward simplification (1,393 calls)
% 0.80/0.98 ; 0.014 3% Ordering (9,794 calls)
% 0.80/0.98 ; 0.002 0% Sortal reasoning (32 calls)
% 0.80/0.98 ; 0.001 0% Purity testing (1 call)
% 0.80/0.98 ; 0.049 10% Other
% 0.80/0.98 ; 0.503 Total
% 0.80/0.98 ; 0.514 Real time
% 0.80/0.98 ;
% 0.80/0.98 ; Term-hash-array has 2,169 terms in all.
% 0.80/0.98 ; Feature-vector-row-index has 719 entries (1,024 at peak, 1,160 added, 441 deleted).
% 0.80/0.98 ; Feature-vector-row-index has 3,582 nodes (4,600 at peak, 5,280 added, 1,698 deleted).
% 0.80/0.98 ; Retrieved 6,796 possibly forward subsuming rows in 2,168 calls.
% 0.80/0.98 ; Retrieved 290 possibly backward subsumed rows in 1,160 calls.
% 0.80/0.98 ; Path-index has 1,222 entries (2,013 at peak, 2,203 added, 981 deleted).
% 0.80/0.98 ; Path-index has 843 nodes (922 at peak, 985 added, 142 deleted).
% 0.80/0.98 ; Trie-index has 1,222 entries (2,013 at peak, 2,203 added, 981 deleted).
% 0.80/0.98 ; Trie-index has 2,144 nodes (3,356 at peak, 3,668 added, 1,524 deleted).
% 0.80/0.98 ; Retrieved 1,591 generalization terms in 11,415 calls.
% 0.80/0.98 ; Retrieved 238 instance terms in 232 calls.
% 0.80/0.98 ; Retrieved 30,883 unifiable terms in 8,879 calls.
% 0.80/0.98 ;
% 0.80/0.98 ; The agenda of backward simplifiable rows to process has 101 entries:
% 0.80/0.98 ; 101 with value 0
% 0.80/0.98 ; The agenda of rows to process has 2 entries:
% 0.80/0.98 ; 1 with value 18 1 with value 20
% 0.80/0.98 ; The agenda of rows to give has 516 entries:
% 0.80/0.98 ; 21 with value (4 17) 18 with value (4 27) 8 with value (4 37)
% 0.80/0.98 ; 49 with value (4 18) 16 with value (4 28) 8 with value (4 38)
% 0.80/0.98 ; 41 with value (4 19) 21 with value (4 29) 16 with value (4 39)
% 0.80/0.98 ; 34 with value (4 20) 29 with value (4 30) 10 with value (4 40)
% 0.80/0.98 ; 26 with value (4 21) 15 with value (4 31) 3 with value (4 41)
% 0.80/0.98 ; 15 with value (4 22) 7 with value (4 32) 4 with value (4 42)
% 0.80/0.98 ; 29 with value (4 23) 15 with value (4 33) 12 with value (4 44)
% 0.80/0.98 ; 19 with value (4 24) 11 with value (4 34) 1 with value (4 45)
% 0.80/0.98 ; 62 with value (4 25) 1 with value (4 35) 1 with value (4 47)
% 0.80/0.98 ; 12 with value (4 26) 8 with value (4 36) 4 with value (4 49)
% 0.80/0.98 Evaluation took:
% 0.80/0.98 0.514 seconds of real time
% 0.80/0.98 0.471902 seconds of user run time
% 0.80/0.98 0.042794 seconds of system run time
% 0.80/0.98 [Run times include 0.026 seconds GC run time.]
% 0.80/0.98 0 calls to %EVAL
% 0.80/0.98 0 page faults and
% 0.80/0.98 40,365,568 bytes consed.
% 0.80/0.98 :PROOF-FOUND
% 0.80/0.98 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T23:56:59
% 0.80/0.98 :PROOF-FOUND
% 0.80/0.98 *
%------------------------------------------------------------------------------