TSTP Solution File: SET994+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET994+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 05:13:53 EDT 2022
% Result : Theorem 0.20s 0.52s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of clauses : 24 ( 18 unt; 1 nHn; 17 RR)
% Number of literals : 36 ( 14 equ; 14 neg)
% Maximal clause size : 7 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 18 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
element('SKOLEMAAAV1'(X),X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',existence_m1_subset_1) ).
cnf(5,axiom,
empty(empty_set),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fc12_relat_1) ).
cnf(25,axiom,
relation('SKOLEMAAAV10'(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_funct_1__e4_14__funct_1) ).
cnf(26,axiom,
function('SKOLEMAAAV10'(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_funct_1__e4_14__funct_1) ).
cnf(27,axiom,
relation_dom('SKOLEMAAAV10'(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_funct_1__e4_14__funct_1) ).
cnf(28,axiom,
( ~ in(X,Y)
| apply('SKOLEMAAAV10'(Y),X) = n0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_funct_1__e4_14__funct_1) ).
cnf(29,axiom,
relation('SKOLEMAAAV11'(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_funct_1__e7_14__funct_1) ).
cnf(30,axiom,
function('SKOLEMAAAV11'(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_funct_1__e7_14__funct_1) ).
cnf(31,axiom,
relation_dom('SKOLEMAAAV11'(X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_funct_1__e7_14__funct_1) ).
cnf(32,axiom,
( ~ in(X,Y)
| apply('SKOLEMAAAV11'(Y),X) = n1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',s3_funct_1__e7_14__funct_1) ).
cnf(33,axiom,
empty(n0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spc0_boole) ).
cnf(34,axiom,
~ empty(n1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',spc1_boole) ).
cnf(35,negated_conjecture,
( ~ relation(X)
| ~ function(X)
| ~ relation(Y)
| ~ function(Y)
| relation_dom(X) != 'SKOLEMAAAV12'
| relation_dom(Y) != 'SKOLEMAAAV12'
| X = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_funct_1) ).
cnf(36,negated_conjecture,
'SKOLEMAAAV12' != empty_set,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t16_funct_1) ).
cnf(38,axiom,
( ~ element(X,Y)
| empty(Y)
| in(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t2_subset) ).
cnf(43,axiom,
( ~ empty(X)
| X = empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t6_boole) ).
cnf(54,plain,
~ empty('SKOLEMAAAV12'),
inference('UR-RESOLVE',[status(thm)],[43,36]) ).
cnf(55,plain,
n0 = empty_set,
inference('HYPERRESOLVE',[status(thm)],[43,33]) ).
cnf(56,plain,
( ~ in(X,Y)
| apply('SKOLEMAAAV10'(Y),X) = empty_set ),
inference('REWRITE',[status(thm)],[28,55,theory(equality)]) ).
cnf(87,plain,
'SKOLEMAAAV11'('SKOLEMAAAV12') = 'SKOLEMAAAV10'('SKOLEMAAAV12'),
inference('HYPERRESOLVE',[status(thm)],[35,29,30,25,26,31,27]) ).
cnf(91,plain,
in('SKOLEMAAAV1'('SKOLEMAAAV12'),'SKOLEMAAAV12'),
inference('UR-RESOLVE',[status(thm)],[38,54,4]) ).
cnf(137,plain,
apply('SKOLEMAAAV10'('SKOLEMAAAV12'),'SKOLEMAAAV1'('SKOLEMAAAV12')) = empty_set,
inference('HYPERRESOLVE',[status(thm)],[56,91]) ).
cnf(138,plain,
empty_set = n1,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[32,91]),137,87,theory(equality)]) ).
cnf(140,plain,
$false,
inference('REWRITE',[status(thm)],[34,5,138,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET994+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.14/0.33 % Computer : n015.cluster.edu
% 0.14/0.33 % Model : x86_64 x86_64
% 0.14/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.33 % Memory : 8042.1875MB
% 0.14/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.33 % CPULimit : 300
% 0.14/0.33 % WCLimit : 600
% 0.14/0.33 % DateTime : Sat Jul 9 23:38:07 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.46 #<PACKAGE "SNARK-USER">
% 0.20/0.46 *
% 0.20/0.46 SNARK-TPTP-OPTIONS
% 0.20/0.46 *
% 0.20/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.46 (USE-FACTORING :POS)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.46 *
% 0.20/0.46 "."
% 0.20/0.46 *
% 0.20/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T23:38:07
% 0.20/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-09T23:38:07
% 0.20/0.48 WARNING:
% 0.20/0.48 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.52
% 0.20/0.52
% 0.20/0.52 #||
% 0.20/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.52 % SZS output start Refutation
% See solution above
% 0.20/0.52 ||#
% 0.20/0.52
% 0.20/0.52 ; Summary of computation:
% 0.20/0.52 ; 304 formulas have been input or derived (from 72 formulas).
% 0.20/0.52 ; 140 (46%) were retained. Of these,
% 0.20/0.52 ; 34 (24%) were simplified or subsumed later,
% 0.20/0.52 ; 106 (76%) are still being kept.
% 0.20/0.52 ;
% 0.20/0.52 ; Run time in seconds excluding printing time:
% 0.20/0.52 ; 0.006 11% Read assertion file (1 call)
% 0.20/0.52 ; 0.001 2% Assert (32 calls)
% 0.20/0.52 ; 0.009 16% Process new row (241 calls)
% 0.20/0.52 ; 0.006 11% Resolution (142 calls)
% 0.20/0.52 ; 0.000 0% Paramodulation (71 calls)
% 0.20/0.52 ; 0.000 0% Factoring (1 call)
% 0.20/0.52 ; 0.001 2% Condensing (31 calls)
% 0.20/0.52 ; 0.000 0% Forward subsumption (31 calls)
% 0.20/0.52 ; 0.000 0% Backward subsumption (29 calls)
% 0.20/0.52 ; 0.000 0% Clause clause subsumption (5 calls)
% 0.20/0.52 ; 0.003 5% Forward simplification (227 calls)
% 0.20/0.52 ; 0.004 7% Backward simplification (140 calls)
% 0.20/0.52 ; 0.000 0% Ordering (67 calls)
% 0.20/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.52 ; 0.001 2% Purity testing (1 call)
% 0.20/0.52 ; 0.025 45% Other
% 0.20/0.52 ; 0.056 Total
% 0.20/0.52 ; 0.059 Real time
% 0.20/0.52 ;
% 0.20/0.52 ; Term-hash-array has 216 terms in all.
% 0.20/0.52 ; Feature-vector-row-index has 27 entries (27 at peak, 29 added, 2 deleted).
% 0.20/0.52 ; Feature-vector-row-index has 69 nodes (70 at peak, 77 added, 8 deleted).
% 0.20/0.52 ; Retrieved 5 possibly forward subsuming rows in 31 calls.
% 0.20/0.52 ; Retrieved 2 possibly backward subsumed rows in 29 calls.
% 0.20/0.52 ; Path-index has 176 entries (208 at peak, 229 added, 53 deleted).
% 0.20/0.52 ; Path-index has 304 nodes (345 at peak, 365 added, 61 deleted).
% 0.20/0.52 ; Trie-index has 176 entries (208 at peak, 229 added, 53 deleted).
% 0.20/0.52 ; Trie-index has 355 nodes (428 at peak, 465 added, 110 deleted).
% 0.20/0.52 ; Retrieved 113 generalization terms in 302 calls.
% 0.20/0.52 ; Retrieved 121 instance terms in 110 calls.
% 0.20/0.52 ; Retrieved 2,870 unifiable terms in 999 calls.
% 0.20/0.52 ;
% 0.20/0.52 ; The agenda of backward simplifiable rows to process has 15 entries:
% 0.20/0.52 ; 15 with value 0
% 0.20/0.52 ; The agenda of rows to process has 2 entries:
% 0.20/0.52 ; 2 with value 13
% 0.20/0.52 ; The agenda of input rows to give has 1 entry:
% 0.20/0.52 ; 1 with value 13
% 0.20/0.52 ; The agenda of rows to give has 45 entries:
% 0.20/0.52 ; 1 with value (4 7) 6 with value (4 11) 1 with value (4 14)
% 0.20/0.52 ; 8 with value (4 8) 6 with value (4 12) 1 with value (4 15)
% 0.20/0.52 ; 13 with value (4 9) 3 with value (4 13) 2 with value (4 23)
% 0.20/0.52 ; 4 with value (4 10)
% 0.20/0.52 Evaluation took:
% 0.20/0.52 0.06 seconds of real time
% 0.20/0.52 0.055304 seconds of user run time
% 0.20/0.52 0.004022 seconds of system run time
% 0.20/0.52 0 calls to %EVAL
% 0.20/0.52 0 page faults and
% 0.20/0.52 3,885,040 bytes consed.
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T23:38:07
% 0.20/0.52 :PROOF-FOUND
% 0.20/0.52 *
%------------------------------------------------------------------------------