%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU146+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n013.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 14:19:29 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 10
% Syntax : Number of clauses : 18 ( 4 unt; 8 nHn; 14 RR)
% Number of literals : 40 ( 19 equ; 10 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 14 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( X = Y
| ~ subset(X,Y)
| ~ subset(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d10_xboole_0) ).
cnf(6,axiom,
( subset(singleton(X),Y)
| ~ in(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l2_zfmisc_1) ).
cnf(7,axiom,
( ~ subset(X,Y)
| in(Z,X)
| subset(X,set_difference(Y,singleton(Z))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l3_zfmisc_1) ).
cnf(8,negated_conjecture,
( ~ subset('SKOLEMAAAV1',singleton('SKOLEMAAAV2'))
| 'SKOLEMAAAV1' != empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_zfmisc_1) ).
cnf(9,negated_conjecture,
( ~ subset('SKOLEMAAAV1',singleton('SKOLEMAAAV2'))
| 'SKOLEMAAAV1' != singleton('SKOLEMAAAV2') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_zfmisc_1) ).
cnf(10,negated_conjecture,
( subset('SKOLEMAAAV1',singleton('SKOLEMAAAV2'))
| 'SKOLEMAAAV1' = empty_set
| 'SKOLEMAAAV1' = singleton('SKOLEMAAAV2') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',l4_zfmisc_1) ).
cnf(13,axiom,
subset(X,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(14,axiom,
subset(empty_set,X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_xboole_1) ).
cnf(16,axiom,
( set_difference(X,Y) = empty_set
| ~ subset(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t37_xboole_1) ).
cnf(17,axiom,
( ~ subset(X,empty_set)
| X = empty_set ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t3_xboole_1) ).
cnf(21,plain,
( 'SKOLEMAAAV1' = empty_set
| 'SKOLEMAAAV1' = singleton('SKOLEMAAAV2')
| set_difference('SKOLEMAAAV1',singleton('SKOLEMAAAV2')) = empty_set ),
inference('HYPERRESOLVE',[status(thm)],[16,10]) ).
cnf(22,plain,
( in(X,Y)
| subset(Y,set_difference(Y,singleton(X))) ),
inference('HYPERRESOLVE',[status(thm)],[7,13]) ).
cnf(47,plain,
( 'SKOLEMAAAV1' = empty_set
| 'SKOLEMAAAV1' = singleton('SKOLEMAAAV2')
| in('SKOLEMAAAV2','SKOLEMAAAV1')
| subset('SKOLEMAAAV1',empty_set) ),
inference('PARAMODULATE',[status(thm)],[22,21,theory(equality)]) ).
cnf(55,plain,
( 'SKOLEMAAAV1' = empty_set
| 'SKOLEMAAAV1' = singleton('SKOLEMAAAV2')
| in('SKOLEMAAAV2','SKOLEMAAAV1') ),
inference('HYPERRESOLVE',[status(thm)],[17,47]) ).
cnf(56,plain,
( 'SKOLEMAAAV1' = empty_set
| 'SKOLEMAAAV1' = singleton('SKOLEMAAAV2')
| subset(singleton('SKOLEMAAAV2'),'SKOLEMAAAV1') ),
inference('HYPERRESOLVE',[status(thm)],[6,55]) ).
cnf(58,plain,
( 'SKOLEMAAAV1' = empty_set
| 'SKOLEMAAAV1' = singleton('SKOLEMAAAV2') ),
inference('HYPERRESOLVE',[status(thm)],[3,56,10]) ).
cnf(65,plain,
'SKOLEMAAAV1' = empty_set,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[9,58,theory(equality)]),13,theory(equality)]) ).
cnf(66,plain,
$false,
inference('REWRITE',[status(thm)],[8,14,65,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU146+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n013.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Sat Jun 18 22:43:14 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T22:43:14
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n013.cluster.edu at 2022-06-18T22:43:14
% 0.19/0.51
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 187 formulas have been input or derived (from 40 formulas).
% 0.19/0.52 ; 66 (35%) were retained. Of these,
% 0.19/0.52 ; 17 (26%) were simplified or subsumed later,
% 0.19/0.52 ; 49 (74%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.003 7% Read assertion file (1 call)
% 0.19/0.52 ; 0.001 2% Assert (15 calls)
% 0.19/0.52 ; 0.007 16% Process new row (133 calls)
% 0.19/0.52 ; 0.006 13% Resolution (78 calls)
% 0.19/0.52 ; 0.001 2% Paramodulation (39 calls)
% 0.19/0.52 ; 0.000 0% Factoring (9 calls)
% 0.19/0.52 ; 0.000 0% Condensing (39 calls)
% 0.19/0.52 ; 0.000 0% Forward subsumption (39 calls)
% 0.19/0.52 ; 0.001 2% Backward subsumption (35 calls)
% 0.19/0.52 ; 0.000 0% Clause clause subsumption (27 calls)
% 0.19/0.52 ; 0.002 4% Forward simplification (128 calls)
% 0.19/0.52 ; 0.001 2% Backward simplification (66 calls)
% 0.19/0.52 ; 0.001 2% Ordering (205 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.022 49% Other
% 0.19/0.52 ; 0.045 Total
% 0.19/0.52 ; 0.048 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 112 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 18 entries (27 at peak, 35 added, 17 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 81 nodes (166 at peak, 224 added, 143 deleted).
% 0.19/0.52 ; Retrieved 15 possibly forward subsuming rows in 39 calls.
% 0.19/0.52 ; Retrieved 12 possibly backward subsumed rows in 35 calls.
% 0.19/0.52 ; Path-index has 98 entries (113 at peak, 122 added, 24 deleted).
% 0.19/0.52 ; Path-index has 280 nodes (304 at peak, 317 added, 37 deleted).
% 0.19/0.52 ; Trie-index has 98 entries (113 at peak, 122 added, 24 deleted).
% 0.19/0.52 ; Trie-index has 332 nodes (376 at peak, 391 added, 59 deleted).
% 0.19/0.52 ; Retrieved 180 generalization terms in 242 calls.
% 0.19/0.52 ; Retrieved 37 instance terms in 30 calls.
% 0.19/0.52 ; Retrieved 987 unifiable terms in 309 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of backward simplifiable rows to process has 8 entries:
% 0.19/0.52 ; 8 with value 0
% 0.19/0.52 ; The agenda of rows to process has 12 entries:
% 0.19/0.52 ; 1 with value 18 3 with value 21 3 with value 23
% 0.19/0.52 ; 3 with value 19 1 with value 22 1 with value 25
% 0.19/0.52 ; The agenda of rows to give has 17 entries:
% 0.19/0.52 ; 1 with value (4 10) 1 with value (4 24) 3 with value (4 27)
% 0.19/0.52 ; 2 with value (4 21) 2 with value (4 25) 3 with value (4 29)
% 0.19/0.52 ; 1 with value (4 22) 1 with value (4 26) 1 with value (4 33)
% 0.19/0.52 ; 2 with value (4 23)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.049 seconds of real time
% 0.19/0.52 0.044096 seconds of user run time
% 0.19/0.52 0.004208 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 3,320,344 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T22:43:14
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------