%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU308+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 14:21:09 EDT 2022
% Result : Theorem 0.18s 0.52s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 13 RR)
% Number of literals : 20 ( 8 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 10 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(53,axiom,
subset(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(70,axiom,
( ~ element(X,powerset(Y))
| ~ element(Z,powerset(Y))
| subset_difference(Y,X,Z) = set_difference(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).
cnf(76,axiom,
( element(X,powerset(Y))
| ~ subset(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t3_subset) ).
cnf(77,axiom,
( ~ one_sorted_str(X)
| cast_as_carrier_subset(X) = the_carrier(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d3_pre_topc) ).
cnf(78,negated_conjecture,
one_sorted_str('SKOLEMAAAV6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_pre_topc) ).
cnf(79,negated_conjecture,
element('SKOLEMAAAV7',powerset(the_carrier('SKOLEMAAAV6'))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_pre_topc) ).
cnf(80,negated_conjecture,
subset_complement(the_carrier('SKOLEMAAAV6'),'SKOLEMAAAV7') != subset_difference(the_carrier('SKOLEMAAAV6'),cast_as_carrier_subset('SKOLEMAAAV6'),'SKOLEMAAAV7'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t17_pre_topc) ).
cnf(81,axiom,
( ~ element(X,powerset(Y))
| subset_complement(Y,X) = set_difference(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d5_subset_1) ).
cnf(103,plain,
element(X,powerset(X)),
inference('HYPERRESOLVE',[status(thm)],[76,53]) ).
cnf(104,plain,
cast_as_carrier_subset('SKOLEMAAAV6') = the_carrier('SKOLEMAAAV6'),
inference('HYPERRESOLVE',[status(thm)],[77,78]) ).
cnf(105,plain,
element('SKOLEMAAAV7',powerset(cast_as_carrier_subset('SKOLEMAAAV6'))),
inference('REWRITE',[status(thm)],[79,104,theory(equality)]) ).
cnf(106,plain,
subset_complement(cast_as_carrier_subset('SKOLEMAAAV6'),'SKOLEMAAAV7') != subset_difference(cast_as_carrier_subset('SKOLEMAAAV6'),cast_as_carrier_subset('SKOLEMAAAV6'),'SKOLEMAAAV7'),
inference('REWRITE',[status(thm)],[80,104,theory(equality)]) ).
cnf(136,plain,
subset_complement(cast_as_carrier_subset('SKOLEMAAAV6'),'SKOLEMAAAV7') = set_difference(cast_as_carrier_subset('SKOLEMAAAV6'),'SKOLEMAAAV7'),
inference('HYPERRESOLVE',[status(thm)],[81,105]) ).
cnf(137,plain,
set_difference(cast_as_carrier_subset('SKOLEMAAAV6'),'SKOLEMAAAV7') != subset_difference(cast_as_carrier_subset('SKOLEMAAAV6'),cast_as_carrier_subset('SKOLEMAAAV6'),'SKOLEMAAAV7'),
inference('REWRITE',[status(thm)],[106,136,theory(equality)]) ).
cnf(162,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[70,105,137]),103]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SEU308+1 : TPTP v8.1.0. Released v3.3.0.
% 0.12/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n023.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
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jun 19 01:57:19 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T01:57:19
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-06-19T01:57:19
% 0.18/0.48
% 0.18/0.48 WARNING:
% 0.18/0.48 |v1_xcmplx_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48 WARNING:
% 0.18/0.48 |v1_xreal_0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48 WARNING:
% 0.18/0.48 |v1_rat_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48 WARNING:
% 0.18/0.48 |v1_int_1| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.48 WARNING:
% 0.18/0.48 |natural| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.18/0.52 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.18/0.52
% 0.18/0.52 #||
% 0.18/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.52 % SZS output start Refutation
% See solution above
% 0.18/0.53 ||#
% 0.18/0.53
% 0.18/0.53 ; Summary of computation:
% 0.18/0.53 ; 471 formulas have been input or derived (from 85 formulas).
% 0.18/0.53 ; 162 (34%) were retained. Of these,
% 0.18/0.53 ; 14 ( 9%) were simplified or subsumed later,
% 0.18/0.53 ; 148 (91%) are still being kept.
% 0.18/0.53 ;
% 0.18/0.53 ; Run time in seconds excluding printing time:
% 0.18/0.53 ; 0.011 17% Read assertion file (1 call)
% 0.18/0.53 ; 0.003 5% Assert (53 calls)
% 0.18/0.53 ; 0.003 5% Process new row (371 calls)
% 0.18/0.53 ; 0.007 11% Resolution (168 calls)
% 0.18/0.53 ; 0.000 0% Paramodulation (84 calls)
% 0.18/0.53 ; 0.000 0% Factoring (1 call)
% 0.18/0.53 ; 0.002 3% Condensing (71 calls)
% 0.18/0.53 ; 0.003 5% Forward subsumption (71 calls)
% 0.18/0.53 ; 0.000 0% Backward subsumption (71 calls)
% 0.18/0.53 ; 0.000 0% Clause clause subsumption (16 calls)
% 0.18/0.53 ; 0.009 14% Forward simplification (356 calls)
% 0.18/0.53 ; 0.002 3% Backward simplification (162 calls)
% 0.18/0.53 ; 0.000 0% Ordering (50 calls)
% 0.18/0.53 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.53 ; 0.001 2% Purity testing (1 call)
% 0.18/0.53 ; 0.023 36% Other
% 0.18/0.53 ; 0.064 Total
% 0.18/0.53 ; 0.067 Real time
% 0.18/0.53 ;
% 0.18/0.53 ; Term-hash-array has 208 terms in all.
% 0.18/0.53 ; Feature-vector-row-index has 71 entries (71 at peak, 71 added, 0 deleted).
% 0.18/0.53 ; Feature-vector-row-index has 182 nodes (182 at peak, 182 added, 0 deleted).
% 0.18/0.53 ; Retrieved 13 possibly forward subsuming rows in 71 calls.
% 0.18/0.53 ; Retrieved 4 possibly backward subsumed rows in 71 calls.
% 0.18/0.53 ; Path-index has 196 entries (196 at peak, 215 added, 19 deleted).
% 0.18/0.53 ; Path-index has 421 nodes (421 at peak, 454 added, 33 deleted).
% 0.18/0.53 ; Trie-index has 196 entries (196 at peak, 215 added, 19 deleted).
% 0.18/0.53 ; Trie-index has 509 nodes (509 at peak, 576 added, 67 deleted).
% 0.18/0.53 ; Retrieved 286 generalization terms in 528 calls.
% 0.18/0.53 ; Retrieved 108 instance terms in 90 calls.
% 0.18/0.53 ; Retrieved 2,534 unifiable terms in 662 calls.
% 0.18/0.53 ;
% 0.18/0.53 ; The agenda of rows to process has 24 entries:
% 0.18/0.53 ; 1 with value 11 1 with value 19 2 with value 22
% 0.18/0.53 ; 6 with value 13 6 with value 21 2 with value 23
% 0.18/0.53 ; 6 with value 17
% 0.18/0.53 ; The agenda of rows to give has 67 entries:
% 0.18/0.53 ; 2 with value (4 5) 4 with value (4 10) 2 with value (4 15)
% 0.18/0.53 ; 6 with value (4 6) 2 with value (4 11) 4 with value (4 16)
% 0.18/0.53 ; 10 with value (4 7) 1 with value (4 12) 2 with value (4 17)
% 0.18/0.53 ; 16 with value (4 8) 5 with value (4 13) 4 with value (4 18)
% 0.18/0.53 ; 3 with value (4 9) 4 with value (4 14) 2 with value (4 21)
% 0.18/0.53 Evaluation took:
% 0.18/0.53 0.068 seconds of real time
% 0.18/0.53 0.056175 seconds of user run time
% 0.18/0.53 0.010977 seconds of system run time
% 0.18/0.53 0 calls to %EVAL
% 0.18/0.53 0 page faults and
% 0.18/0.53 3,975,608 bytes consed.
% 0.18/0.53 :PROOF-FOUND
% 0.18/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T01:57:19
% 0.18/0.53 :PROOF-FOUND
% 0.18/0.53 *
%------------------------------------------------------------------------------