%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU354+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 14:21:34 EDT 2022
% Result : Theorem 0.20s 0.58s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 19 ( 13 unt; 2 nHn; 13 RR)
% Number of literals : 26 ( 11 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(27,axiom,
( ~ element(X,Y)
| proper_element(X,Y)
| X = union(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tex_2) ).
cnf(48,axiom,
element('SKOLEMAAAV5'(X),powerset(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_tex_2) ).
cnf(49,axiom,
~ proper_element('SKOLEMAAAV5'(X),powerset(X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rc2_tex_2) ).
cnf(50,axiom,
k1_pcomps_1(X) = powerset(X),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k1_pcomps_1) ).
cnf(64,negated_conjecture,
element('SKOLEMAAAV7',powerset('SKOLEMAAAV6')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tex_2) ).
cnf(65,plain,
element('SKOLEMAAAV7',k1_pcomps_1('SKOLEMAAAV6')),
inference('REWRITE',[status(thm)],[64,50,theory(equality)]) ).
cnf(66,negated_conjecture,
( ~ proper_element('SKOLEMAAAV7',powerset('SKOLEMAAAV6'))
| 'SKOLEMAAAV7' = 'SKOLEMAAAV6' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tex_2) ).
cnf(67,plain,
( ~ proper_element('SKOLEMAAAV7',k1_pcomps_1('SKOLEMAAAV6'))
| 'SKOLEMAAAV7' = 'SKOLEMAAAV6' ),
inference('REWRITE',[status(thm)],[66,50,theory(equality)]) ).
cnf(68,negated_conjecture,
( proper_element('SKOLEMAAAV7',powerset('SKOLEMAAAV6'))
| 'SKOLEMAAAV7' != 'SKOLEMAAAV6' ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t5_tex_2) ).
cnf(69,plain,
( proper_element('SKOLEMAAAV7',k1_pcomps_1('SKOLEMAAAV6'))
| 'SKOLEMAAAV7' != 'SKOLEMAAAV6' ),
inference('REWRITE',[status(thm)],[68,50,theory(equality)]) ).
cnf(73,axiom,
union(powerset(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t99_zfmisc_1) ).
cnf(74,plain,
union(k1_pcomps_1(X)) = X,
inference('REWRITE',[status(thm)],[73,50,theory(equality)]) ).
cnf(95,plain,
element('SKOLEMAAAV5'(X),k1_pcomps_1(X)),
inference('REWRITE',[status(thm)],[48,50,theory(equality)]) ).
cnf(96,plain,
~ proper_element('SKOLEMAAAV5'(X),k1_pcomps_1(X)),
inference('REWRITE',[status(thm)],[49,50,theory(equality)]) ).
cnf(151,plain,
'SKOLEMAAAV5'(X) = X,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[27,95,96]),74,theory(equality)]) ).
cnf(152,plain,
~ proper_element(X,k1_pcomps_1(X)),
inference('REWRITE',[status(thm)],[96,151,theory(equality)]) ).
cnf(155,plain,
( proper_element('SKOLEMAAAV7',k1_pcomps_1('SKOLEMAAAV6'))
| 'SKOLEMAAAV7' = 'SKOLEMAAAV6' ),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[27,65]),74,theory(equality)]) ).
cnf(287,plain,
'SKOLEMAAAV7' = 'SKOLEMAAAV6',
inference('HYPERRESOLVE',[status(thm)],[67,155]) ).
cnf(288,plain,
$false,
inference('REWRITE',[status(thm)],[69,152,287,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU354+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n016.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sat Jun 18 21:45:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T21:45:23
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-06-18T21:45:23
% 0.20/0.50 WARNING:
% 0.20/0.50 |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.58
% 0.20/0.58
% 0.20/0.58 #||
% 0.20/0.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.58 % SZS output start Refutation
% See solution above
% 0.20/0.58 ||#
% 0.20/0.58
% 0.20/0.58 ; Summary of computation:
% 0.20/0.58 ; 1558 formulas have been input or derived (from 135 formulas).
% 0.20/0.58 ; 288 (18%) were retained. Of these,
% 0.20/0.58 ; 108 (38%) were simplified or subsumed later,
% 0.20/0.58 ; 180 (62%) are still being kept.
% 0.20/0.58 ;
% 0.20/0.58 ; Run time in seconds excluding printing time:
% 0.20/0.58 ; 0.008 8% Read assertion file (1 call)
% 0.20/0.58 ; 0.002 2% Assert (43 calls)
% 0.20/0.58 ; 0.024 24% Process new row (1,227 calls)
% 0.20/0.58 ; 0.014 14% Resolution (268 calls)
% 0.20/0.58 ; 0.003 3% Paramodulation (134 calls)
% 0.20/0.58 ; 0.000 0% Factoring (5 calls)
% 0.20/0.58 ; 0.001 1% Condensing (123 calls)
% 0.20/0.58 ; 0.004 4% Forward subsumption (123 calls)
% 0.20/0.58 ; 0.000 0% Backward subsumption (90 calls)
% 0.20/0.58 ; 0.000 0% Clause clause subsumption (44 calls)
% 0.20/0.58 ; 0.010 10% Forward simplification (1,198 calls)
% 0.20/0.58 ; 0.004 4% Backward simplification (279 calls)
% 0.20/0.58 ; 0.003 3% Ordering (85 calls)
% 0.20/0.58 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.58 ; 0.001 1% Purity testing (1 call)
% 0.20/0.58 ; 0.028 27% Other
% 0.20/0.58 ; 0.102 Total
% 0.20/0.58 ; 0.105 Real time
% 0.20/0.58 ;
% 0.20/0.58 ; Term-hash-array has 328 terms in all.
% 0.20/0.58 ; Feature-vector-row-index has 58 entries (67 at peak, 90 added, 32 deleted).
% 0.20/0.58 ; Feature-vector-row-index has 219 nodes (301 at peak, 388 added, 169 deleted).
% 0.20/0.58 ; Retrieved 41 possibly forward subsuming rows in 123 calls.
% 0.20/0.58 ; Retrieved 4 possibly backward subsumed rows in 90 calls.
% 0.20/0.58 ; Path-index has 231 entries (240 at peak, 341 added, 110 deleted).
% 0.20/0.58 ; Path-index has 525 nodes (540 at peak, 637 added, 112 deleted).
% 0.20/0.58 ; Trie-index has 231 entries (240 at peak, 341 added, 110 deleted).
% 0.20/0.58 ; Trie-index has 561 nodes (579 at peak, 784 added, 223 deleted).
% 0.20/0.58 ; Retrieved 1,041 generalization terms in 1,436 calls.
% 0.20/0.58 ; Retrieved 212 instance terms in 188 calls.
% 0.20/0.58 ; Retrieved 6,369 unifiable terms in 2,056 calls.
% 0.20/0.58 ;
% 0.20/0.58 ; The agenda of backward simplifiable rows to process has 5 entries:
% 0.20/0.58 ; 5 with value 0
% 0.20/0.58 ; The agenda of rows to give has 72 entries:
% 0.20/0.58 ; 1 with value (4 6) 10 with value (4 14) 7 with value (4 18)
% 0.20/0.58 ; 16 with value (4 11) 8 with value (4 15) 1 with value (4 19)
% 0.20/0.58 ; 14 with value (4 12) 2 with value (4 16) 1 with value (4 20)
% 0.20/0.58 ; 8 with value (4 13) 3 with value (4 17) 1 with value (4 21)
% 0.20/0.58 Evaluation took:
% 0.20/0.58 0.106 seconds of real time
% 0.20/0.58 0.090155 seconds of user run time
% 0.20/0.58 0.015062 seconds of system run time
% 0.20/0.58 0 calls to %EVAL
% 0.20/0.58 0 page faults and
% 0.20/0.58 5,908,088 bytes consed.
% 0.20/0.58 :PROOF-FOUND
% 0.20/0.58 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T21:45:23
% 0.20/0.59 :PROOF-FOUND
% 0.20/0.59 *
%------------------------------------------------------------------------------