%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU394+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n011.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 14:22:14 EDT 2022
% Result : Theorem 0.46s 0.64s
% Output : Refutation 0.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of clauses : 16 ( 12 unt; 3 nHn; 15 RR)
% Number of literals : 32 ( 4 equ; 16 neg)
% Maximal clause size : 8 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 3 con; 0-3 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(55,axiom,
empty(empty_set),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc12_relat_1) ).
cnf(80,axiom,
( empty_carrier(X)
| ~ one_sorted_str(X)
| ~ empty(cast_as_carrier_subset(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fc2_pre_topc) ).
cnf(245,axiom,
( empty_carrier(X)
| ~ one_sorted_str(X)
| empty(Y)
| ~ filtered_subset(Y,boole_POSet(cast_as_carrier_subset(X)))
| ~ upper_relstr_subset(Y,boole_POSet(cast_as_carrier_subset(X)))
| ~ element(Y,powerset(the_carrier(boole_POSet(cast_as_carrier_subset(X)))))
| set_difference(Y,singleton(empty_set)) = filter_of_net_str(X,net_of_bool_filter(X,cast_as_carrier_subset(X),Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t14_yellow19) ).
cnf(246,negated_conjecture,
~ empty_carrier('SKOLEMAAAV38'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow19) ).
cnf(247,negated_conjecture,
one_sorted_str('SKOLEMAAAV38'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow19) ).
cnf(248,negated_conjecture,
~ empty('SKOLEMAAAV39'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow19) ).
cnf(249,negated_conjecture,
filtered_subset('SKOLEMAAAV39',boole_POSet(cast_as_carrier_subset('SKOLEMAAAV38'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow19) ).
cnf(250,negated_conjecture,
upper_relstr_subset('SKOLEMAAAV39',boole_POSet(cast_as_carrier_subset('SKOLEMAAAV38'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow19) ).
cnf(251,negated_conjecture,
proper_element('SKOLEMAAAV39',powerset(the_carrier(boole_POSet(cast_as_carrier_subset('SKOLEMAAAV38'))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow19) ).
cnf(252,negated_conjecture,
element('SKOLEMAAAV39',powerset(the_carrier(boole_POSet(cast_as_carrier_subset('SKOLEMAAAV38'))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow19) ).
cnf(253,negated_conjecture,
'SKOLEMAAAV39' != filter_of_net_str('SKOLEMAAAV38',net_of_bool_filter('SKOLEMAAAV38',cast_as_carrier_subset('SKOLEMAAAV38'),'SKOLEMAAAV39')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t15_yellow19) ).
cnf(258,axiom,
( empty(X)
| empty(Y)
| ~ filtered_subset(Y,boole_POSet(X))
| ~ upper_relstr_subset(Y,boole_POSet(X))
| ~ proper_element(Y,powerset(the_carrier(boole_POSet(X))))
| ~ element(Y,powerset(the_carrier(boole_POSet(X))))
| ~ in(Z,Y)
| ~ empty(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t2_yellow19) ).
cnf(266,axiom,
( set_difference(X,singleton(Y)) = X
| in(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t65_zfmisc_1) ).
cnf(425,plain,
~ empty(cast_as_carrier_subset('SKOLEMAAAV38')),
inference('UR-RESOLVE',[status(thm)],[80,246,247]) ).
cnf(783,plain,
set_difference('SKOLEMAAAV39',singleton(empty_set)) = 'SKOLEMAAAV39',
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[258,249,250,251,252,266,55]),248,425]) ).
cnf(784,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[245,246,247,248,249,250,252]),253,783,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : SEU394+1 : TPTP v8.1.0. Released v3.3.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n011.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 18:41:09 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T18:41:09
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n011.cluster.edu at 2022-06-19T18:41:09
% 0.19/0.51
% 0.19/0.52 WARNING:
% 0.19/0.52 |v1_yellow_3| is a 1-ary relation that occurs only negatively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |connected_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |lower_relstr_subset| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |distributive_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |heyting_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |complemented_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |boolean_relstr| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.52 WARNING:
% 0.19/0.52 |directed_subset| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.46/0.64 ; Recognized right identity assertion (= (|set_difference| ?X |empty_set|) ?X).
% 0.46/0.64
% 0.46/0.64 #||
% 0.46/0.64 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.46/0.64 % SZS output start Refutation
% See solution above
% 0.46/0.66 ||#
% 0.46/0.66
% 0.46/0.66 ; Summary of computation:
% 0.46/0.66 ; 1360 formulas have been input or derived (from 269 formulas).
% 0.46/0.66 ; 784 (58%) were retained. Of these,
% 0.46/0.66 ; 8 ( 1%) were simplified or subsumed later,
% 0.46/0.66 ; 776 (99%) are still being kept.
% 0.46/0.66 ;
% 0.46/0.66 ; Run time in seconds excluding printing time:
% 0.46/0.66 ; 0.037 20% Read assertion file (1 call)
% 0.46/0.66 ; 0.010 5% Assert (127 calls)
% 0.46/0.66 ; 0.033 18% Process new row (1,302 calls)
% 0.46/0.66 ; 0.038 20% Resolution (536 calls)
% 0.46/0.66 ; 0.001 1% Paramodulation (268 calls)
% 0.46/0.66 ; 0.000 0% Factoring (7 calls)
% 0.46/0.66 ; 0.003 2% Condensing (249 calls)
% 0.46/0.66 ; 0.008 4% Forward subsumption (249 calls)
% 0.46/0.66 ; 0.005 3% Backward subsumption (223 calls)
% 0.46/0.66 ; 0.000 0% Clause clause subsumption (119 calls)
% 0.46/0.66 ; 0.014 8% Forward simplification (1,270 calls)
% 0.46/0.66 ; 0.003 2% Backward simplification (784 calls)
% 0.46/0.66 ; 0.002 1% Ordering (279 calls)
% 0.46/0.66 ; 0.000 0% Sortal reasoning (32 calls)
% 0.46/0.66 ; 0.002 1% Purity testing (1 call)
% 0.46/0.66 ; 0.030 16% Other
% 0.46/0.66 ; 0.186 Total
% 0.46/0.66 ; 0.199 Real time
% 0.46/0.66 ;
% 0.46/0.66 ; Term-hash-array has 1,202 terms in all.
% 0.46/0.66 ; Feature-vector-row-index has 222 entries (222 at peak, 223 added, 1 deleted).
% 0.46/0.66 ; Feature-vector-row-index has 843 nodes (843 at peak, 846 added, 3 deleted).
% 0.46/0.66 ; Retrieved 160 possibly forward subsuming rows in 249 calls.
% 0.46/0.66 ; Retrieved 61 possibly backward subsumed rows in 223 calls.
% 0.46/0.66 ; Path-index has 1,213 entries (1,213 at peak, 1,220 added, 7 deleted).
% 0.46/0.66 ; Path-index has 2,136 nodes (2,136 at peak, 2,143 added, 7 deleted).
% 0.46/0.66 ; Trie-index has 1,213 entries (1,213 at peak, 1,220 added, 7 deleted).
% 0.46/0.66 ; Trie-index has 2,750 nodes (2,750 at peak, 2,763 added, 13 deleted).
% 0.46/0.66 ; Retrieved 716 generalization terms in 1,852 calls.
% 0.46/0.66 ; Retrieved 606 instance terms in 560 calls.
% 0.46/0.66 ; Retrieved 59,182 unifiable terms in 12,161 calls.
% 0.46/0.66 ;
% 0.46/0.66 ; The agenda of rows to process has 1 entry:
% 0.46/0.66 ; 1 with value 23
% 0.46/0.66 ; The agenda of input rows to give has 1 entry:
% 0.46/0.66 ; 1 with value 59
% 0.46/0.66 ; The agenda of rows to give has 510 entries:
% 0.46/0.66 ; 23 with value (4 4) 12 with value (4 12) 1 with value (4 21)
% 0.46/0.66 ; 3 with value (4 5) 24 with value (4 13) 2 with value (4 24)
% 0.46/0.66 ; 97 with value (4 6) 4 with value (4 14) 2 with value (4 25)
% 0.46/0.66 ; 108 with value (4 7) 7 with value (4 15) 2 with value (4 26)
% 0.46/0.66 ; 38 with value (4 8) 6 with value (4 16) 6 with value (4 28)
% 0.46/0.66 ; 28 with value (4 9) 3 with value (4 18) 1 with value (4 29)
% 0.46/0.66 ; 110 with value (4 10) 7 with value (4 19) 2 with value (4 31)
% 0.46/0.66 ; 20 with value (4 11) 3 with value (4 20) 1 with value (4 34)
% 0.46/0.66 Evaluation took:
% 0.46/0.66 0.199 seconds of real time
% 0.46/0.66 0.176932 seconds of user run time
% 0.46/0.66 0.022152 seconds of system run time
% 0.46/0.66 [Run times include 0.011 seconds GC run time.]
% 0.46/0.66 0 calls to %EVAL
% 0.46/0.66 0 page faults and
% 0.46/0.66 13,378,272 bytes consed.
% 0.46/0.66 :PROOF-FOUND
% 0.46/0.66 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-19T18:41:09
% 0.46/0.66 :PROOF-FOUND
% 0.46/0.66 *
%------------------------------------------------------------------------------