TSTP Solution File: SEU360+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n010.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 14:21:57 EDT 2022
% Result : Theorem 1.01s 1.20s
% Output : Refutation 1.01s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 17
% Syntax : Number of clauses : 38 ( 19 unt; 10 nHn; 38 RR)
% Number of literals : 87 ( 0 equ; 43 neg)
% Maximal clause size : 6 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-3 aty)
% Number of variables : 27 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( ~ rel_str(X)
| ~ lower_bounded_relstr(X)
| element('SKOLEMAAAV1'(X),the_carrier(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_yellow_0) ).
cnf(3,axiom,
( ~ rel_str(X)
| ~ lower_bounded_relstr(X)
| relstr_element_smaller(X,the_carrier(X),'SKOLEMAAAV1'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d4_yellow_0) ).
cnf(5,axiom,
( ~ rel_str(X)
| ~ element(Y,the_carrier(X))
| ~ relstr_element_smaller(X,Z,Y)
| ~ element(U,the_carrier(X))
| ~ in(U,Z)
| related(X,Y,U) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d8_lattice3) ).
cnf(9,axiom,
( ~ rel_str(X)
| one_sorted_str(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_orders_2) ).
cnf(13,axiom,
( empty_carrier(X)
| ~ one_sorted_str(X)
| ~ empty(the_carrier(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc1_struct_0) ).
cnf(23,axiom,
( ~ antisymmetric_relstr(X)
| ~ rel_str(X)
| ex_sup_of_relstr_set(X,Y)
| ~ element(Z,the_carrier(X))
| ~ relstr_set_smaller(X,Y,Z)
| element('SKOLEMAAAV11'(X,Y,Z),the_carrier(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow_0) ).
cnf(25,axiom,
( ~ antisymmetric_relstr(X)
| ~ rel_str(X)
| ex_sup_of_relstr_set(X,Y)
| ~ element(Z,the_carrier(X))
| ~ relstr_set_smaller(X,Y,Z)
| ~ related(X,Z,'SKOLEMAAAV11'(X,Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow_0) ).
cnf(29,axiom,
( ~ antisymmetric_relstr(X)
| ~ rel_str(X)
| ex_inf_of_relstr_set(X,Y)
| ~ element(Z,the_carrier(X))
| ~ relstr_element_smaller(X,Y,Z)
| element('SKOLEMAAAV13'(X,Y,Z),the_carrier(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_yellow_0) ).
cnf(30,axiom,
( ~ antisymmetric_relstr(X)
| ~ rel_str(X)
| ex_inf_of_relstr_set(X,Y)
| ~ element(Z,the_carrier(X))
| ~ relstr_element_smaller(X,Y,Z)
| relstr_element_smaller(X,Y,'SKOLEMAAAV13'(X,Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_yellow_0) ).
cnf(31,axiom,
( ~ antisymmetric_relstr(X)
| ~ rel_str(X)
| ex_inf_of_relstr_set(X,Y)
| ~ element(Z,the_carrier(X))
| ~ relstr_element_smaller(X,Y,Z)
| ~ related(X,'SKOLEMAAAV13'(X,Y,Z),Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t16_yellow_0) ).
cnf(33,axiom,
( ~ element(X,Y)
| empty(Y)
| in(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_subset) ).
cnf(34,negated_conjecture,
~ empty_carrier('SKOLEMAAAV14'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_yellow_0) ).
cnf(35,negated_conjecture,
antisymmetric_relstr('SKOLEMAAAV14'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_yellow_0) ).
cnf(36,negated_conjecture,
lower_bounded_relstr('SKOLEMAAAV14'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_yellow_0) ).
cnf(37,negated_conjecture,
rel_str('SKOLEMAAAV14'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_yellow_0) ).
cnf(38,negated_conjecture,
( ~ ex_sup_of_relstr_set('SKOLEMAAAV14',empty_set)
| ~ ex_inf_of_relstr_set('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14')) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t42_yellow_0) ).
cnf(40,axiom,
( ~ rel_str(X)
| ~ element(Y,the_carrier(X))
| relstr_set_smaller(X,empty_set,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t6_yellow_0) ).
cnf(44,plain,
one_sorted_str('SKOLEMAAAV14'),
inference('HYPERRESOLVE',[status(thm)],[9,37]) ).
cnf(52,plain,
element('SKOLEMAAAV1'('SKOLEMAAAV14'),the_carrier('SKOLEMAAAV14')),
inference('HYPERRESOLVE',[status(thm)],[2,37,36]) ).
cnf(53,plain,
relstr_element_smaller('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14'),'SKOLEMAAAV1'('SKOLEMAAAV14')),
inference('HYPERRESOLVE',[status(thm)],[3,37,36]) ).
cnf(62,plain,
~ empty(the_carrier('SKOLEMAAAV14')),
inference('UR-RESOLVE',[status(thm)],[13,44,34]) ).
cnf(68,plain,
relstr_set_smaller('SKOLEMAAAV14',empty_set,'SKOLEMAAAV1'('SKOLEMAAAV14')),
inference('HYPERRESOLVE',[status(thm)],[40,52,37]) ).
cnf(69,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV14'),the_carrier('SKOLEMAAAV14')),
inference('UR-RESOLVE',[status(thm)],[33,52,62]) ).
cnf(72,plain,
( ex_inf_of_relstr_set('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14'))
| element('SKOLEMAAAV13'('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14'),'SKOLEMAAAV1'('SKOLEMAAAV14')),the_carrier('SKOLEMAAAV14')) ),
inference('HYPERRESOLVE',[status(thm)],[29,53,35,37,52]) ).
cnf(73,plain,
( ex_inf_of_relstr_set('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14'))
| relstr_element_smaller('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14'),'SKOLEMAAAV13'('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14'),'SKOLEMAAAV1'('SKOLEMAAAV14'))) ),
inference('HYPERRESOLVE',[status(thm)],[30,53,35,37,52]) ).
cnf(77,plain,
( ex_sup_of_relstr_set('SKOLEMAAAV14',empty_set)
| element('SKOLEMAAAV11'('SKOLEMAAAV14',empty_set,'SKOLEMAAAV1'('SKOLEMAAAV14')),the_carrier('SKOLEMAAAV14')) ),
inference('HYPERRESOLVE',[status(thm)],[23,68,35,37,52]) ).
cnf(110,plain,
( element('SKOLEMAAAV13'('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14'),'SKOLEMAAAV1'('SKOLEMAAAV14')),the_carrier('SKOLEMAAAV14'))
| element('SKOLEMAAAV11'('SKOLEMAAAV14',empty_set,'SKOLEMAAAV1'('SKOLEMAAAV14')),the_carrier('SKOLEMAAAV14')) ),
inference('HYPERRESOLVE',[status(thm)],[38,72,77]) ).
cnf(247,plain,
( element('SKOLEMAAAV11'('SKOLEMAAAV14',empty_set,'SKOLEMAAAV1'('SKOLEMAAAV14')),the_carrier('SKOLEMAAAV14'))
| ex_inf_of_relstr_set('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14'))
| related('SKOLEMAAAV14','SKOLEMAAAV13'('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14'),'SKOLEMAAAV1'('SKOLEMAAAV14')),'SKOLEMAAAV1'('SKOLEMAAAV14')) ),
inference('HYPERRESOLVE',[status(thm)],[5,110,37,73,52,69]) ).
cnf(572,plain,
( element('SKOLEMAAAV11'('SKOLEMAAAV14',empty_set,'SKOLEMAAAV1'('SKOLEMAAAV14')),the_carrier('SKOLEMAAAV14'))
| ex_inf_of_relstr_set('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14')) ),
inference('HYPERRESOLVE',[status(thm)],[31,247,35,37,52,53]) ).
cnf(573,plain,
element('SKOLEMAAAV11'('SKOLEMAAAV14',empty_set,'SKOLEMAAAV1'('SKOLEMAAAV14')),the_carrier('SKOLEMAAAV14')),
inference('HYPERRESOLVE',[status(thm)],[38,572,77]) ).
cnf(576,plain,
in('SKOLEMAAAV11'('SKOLEMAAAV14',empty_set,'SKOLEMAAAV1'('SKOLEMAAAV14')),the_carrier('SKOLEMAAAV14')),
inference('UR-RESOLVE',[status(thm)],[33,573,62]) ).
cnf(593,plain,
related('SKOLEMAAAV14','SKOLEMAAAV1'('SKOLEMAAAV14'),'SKOLEMAAAV11'('SKOLEMAAAV14',empty_set,'SKOLEMAAAV1'('SKOLEMAAAV14'))),
inference('HYPERRESOLVE',[status(thm)],[5,576,37,52,53,573]) ).
cnf(603,plain,
ex_sup_of_relstr_set('SKOLEMAAAV14',empty_set),
inference('HYPERRESOLVE',[status(thm)],[25,593,35,37,52,68]) ).
cnf(604,plain,
~ ex_inf_of_relstr_set('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14')),
inference('REWRITE',[status(thm)],[38,603]) ).
cnf(605,plain,
element('SKOLEMAAAV13'('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14'),'SKOLEMAAAV1'('SKOLEMAAAV14')),the_carrier('SKOLEMAAAV14')),
inference('REWRITE',[status(thm)],[72,604]) ).
cnf(606,plain,
relstr_element_smaller('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14'),'SKOLEMAAAV13'('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14'),'SKOLEMAAAV1'('SKOLEMAAAV14'))),
inference('REWRITE',[status(thm)],[73,604]) ).
cnf(634,plain,
~ related('SKOLEMAAAV14','SKOLEMAAAV13'('SKOLEMAAAV14',the_carrier('SKOLEMAAAV14'),'SKOLEMAAAV1'('SKOLEMAAAV14')),'SKOLEMAAAV1'('SKOLEMAAAV14')),
inference('UR-RESOLVE',[status(thm)],[31,604,35,37,52,53]) ).
cnf(656,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[5,606,37,605,52,69]),634]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : SEU360+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n010.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Mon Jun 20 13:08:37 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T13:08:37
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n010.cluster.edu at 2022-06-20T13:08:37
% 0.21/0.51 WARNING:
% 0.21/0.51 |finite| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 1.01/1.20
% 1.01/1.20
% 1.01/1.20 #||
% 1.01/1.20 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.01/1.20 % SZS output start Refutation
% See solution above
% 1.01/1.21 ||#
% 1.01/1.21
% 1.01/1.21 ; Summary of computation:
% 1.01/1.21 ; 1937 formulas have been input or derived (from 267 formulas).
% 1.01/1.21 ; 656 (34%) were retained. Of these,
% 1.01/1.21 ; 323 (49%) were simplified or subsumed later,
% 1.01/1.21 ; 333 (51%) are still being kept.
% 1.01/1.21 ;
% 1.01/1.21 ; Run time in seconds excluding printing time:
% 1.01/1.21 ; 0.006 1% Read assertion file (1 call)
% 1.01/1.21 ; 0.001 0% Assert (27 calls)
% 1.01/1.21 ; 0.060 8% Process new row (1,758 calls)
% 1.01/1.21 ; 0.073 10% Resolution (532 calls)
% 1.01/1.21 ; 0.002 0% Paramodulation (266 calls)
% 1.01/1.21 ; 0.001 0% Factoring (175 calls)
% 1.01/1.21 ; 0.003 0% Condensing (1,344 calls)
% 1.01/1.21 ; 0.436 62% Forward subsumption (1,344 calls)
% 1.01/1.21 ; 0.024 3% Backward subsumption (581 calls)
% 1.01/1.21 ; 0.014 2% Clause clause subsumption (2,991 calls)
% 1.01/1.21 ; 0.035 5% Forward simplification (1,608 calls)
% 1.01/1.21 ; 0.014 2% Backward simplification (656 calls)
% 1.01/1.21 ; 0.002 0% Ordering (1,603 calls)
% 1.01/1.21 ; 0.000 0% Sortal reasoning (32 calls)
% 1.01/1.21 ; 0.000 0% Purity testing (1 call)
% 1.01/1.21 ; 0.037 5% Other
% 1.01/1.21 ; 0.708 Total
% 1.01/1.21 ; 0.716 Real time
% 1.01/1.21 ;
% 1.01/1.21 ; Term-hash-array has 418 terms in all.
% 1.01/1.21 ; Feature-vector-row-index has 259 entries (441 at peak, 581 added, 322 deleted).
% 1.01/1.21 ; Feature-vector-row-index has 2,702 nodes (4,692 at peak, 5,782 added, 3,080 deleted).
% 1.01/1.21 ; Retrieved 8,223 possibly forward subsuming rows in 1,344 calls.
% 1.01/1.21 ; Retrieved 472 possibly backward subsumed rows in 581 calls.
% 1.01/1.21 ; Path-index has 354 entries (403 at peak, 477 added, 123 deleted).
% 1.01/1.21 ; Path-index has 1,131 nodes (1,189 at peak, 1,252 added, 121 deleted).
% 1.01/1.21 ; Trie-index has 354 entries (403 at peak, 477 added, 123 deleted).
% 1.01/1.21 ; Trie-index has 1,320 nodes (1,538 at peak, 1,855 added, 535 deleted).
% 1.01/1.21 ; Retrieved 326 generalization terms in 4,726 calls.
% 1.01/1.21 ; Retrieved 74 instance terms in 74 calls.
% 1.01/1.21 ; Retrieved 23,062 unifiable terms in 7,959 calls.
% 1.01/1.21 ;
% 1.01/1.21 ; The agenda of rows to process has 22 entries:
% 1.01/1.21 ; 1 with value 18 1 with value 26 1 with value 43
% 1.01/1.21 ; 1 with value 20 1 with value 27 1 with value 44
% 1.01/1.21 ; 1 with value 21 1 with value 30 1 with value 46
% 1.01/1.21 ; 1 with value 22 1 with value 31 1 with value 47
% 1.01/1.21 ; 1 with value 23 1 with value 36 1 with value 50
% 1.01/1.21 ; 1 with value 24 1 with value 37 1 with value 51
% 1.01/1.21 ; 2 with value 25 2 with value 38
% 1.01/1.21 ; The agenda of rows to give has 146 entries:
% 1.01/1.21 ; 4 with value (4 15) 2 with value (4 34) 4 with value (4 50)
% 1.01/1.21 ; 2 with value (4 16) 11 with value (4 35) 7 with value (4 51)
% 1.01/1.21 ; 1 with value (4 17) 7 with value (4 36) 3 with value (4 52)
% 1.01/1.21 ; 1 with value (4 20) 8 with value (4 37) 3 with value (4 53)
% 1.01/1.21 ; 1 with value (4 21) 8 with value (4 38) 3 with value (4 54)
% 1.01/1.21 ; 1 with value (4 22) 6 with value (4 39) 3 with value (4 55)
% 1.01/1.21 ; 1 with value (4 23) 11 with value (4 40) 3 with value (4 56)
% 1.01/1.21 ; 2 with value (4 24) 3 with value (4 41) 3 with value (4 57)
% 1.01/1.21 ; 2 with value (4 28) 3 with value (4 42) 4 with value (4 58)
% 1.01/1.21 ; 1 with value (4 30) 3 with value (4 45) 3 with value (4 59)
% 1.01/1.21 ; 2 with value (4 31) 5 with value (4 47) 1 with value (4 60)
% 1.01/1.21 ; 1 with value (4 32) 6 with value (4 48) 2 with value (4 62)
% 1.01/1.21 ; 2 with value (4 33) 13 with value (4 49)
% 1.01/1.21 Evaluation took:
% 1.01/1.21 0.716 seconds of real time
% 1.01/1.21 0.682739 seconds of user run time
% 1.01/1.21 0.033128 seconds of system run time
% 1.01/1.21 [Run times include 0.037 seconds GC run time.]
% 1.01/1.21 0 calls to %EVAL
% 1.01/1.21 0 page faults and
% 1.01/1.21 78,009,336 bytes consed.
% 1.01/1.21 :PROOF-FOUND
% 1.01/1.21 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T13:08:38
% 1.01/1.21 :PROOF-FOUND
% 1.01/1.21 *
%------------------------------------------------------------------------------