%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU319+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n029.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 14:21:15 EDT 2022
% Result : Theorem 1.31s 1.50s
% Output : Refutation 1.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 21 ( 10 unt; 2 nHn; 21 RR)
% Number of literals : 38 ( 5 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 2 con; 0-3 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
( ~ top_str(X)
| ~ element(Y,powerset(the_carrier(X)))
| ~ closed_subset(Y,X)
| open_subset(subset_difference(the_carrier(X),cast_as_carrier_subset(X),Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_pre_topc) ).
cnf(2,axiom,
( ~ top_str(X)
| ~ element(Y,powerset(the_carrier(X)))
| closed_subset(Y,X)
| ~ open_subset(subset_difference(the_carrier(X),cast_as_carrier_subset(X),Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d6_pre_topc) ).
cnf(3,axiom,
( ~ one_sorted_str(X)
| element(cast_as_carrier_subset(X),powerset(the_carrier(X))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_k2_pre_topc) ).
cnf(6,axiom,
( ~ top_str(X)
| one_sorted_str(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',dt_l1_pre_topc) ).
cnf(11,axiom,
( ~ element(X,powerset(Y))
| ~ element(Z,powerset(Y))
| subset_difference(Y,X,Z) = set_difference(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',redefinition_k6_subset_1) ).
cnf(13,axiom,
( ~ one_sorted_str(X)
| ~ element(Y,powerset(the_carrier(X)))
| subset_complement(the_carrier(X),Y) = subset_difference(the_carrier(X),cast_as_carrier_subset(X),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t17_pre_topc) ).
cnf(14,negated_conjecture,
top_str('SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_tops_1) ).
cnf(15,negated_conjecture,
element('SKOLEMAAAV5',powerset(the_carrier('SKOLEMAAAV4'))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_tops_1) ).
cnf(16,negated_conjecture,
( ~ closed_subset('SKOLEMAAAV5','SKOLEMAAAV4')
| ~ open_subset(subset_complement(the_carrier('SKOLEMAAAV4'),'SKOLEMAAAV5'),'SKOLEMAAAV4') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_tops_1) ).
cnf(17,negated_conjecture,
( closed_subset('SKOLEMAAAV5','SKOLEMAAAV4')
| open_subset(subset_complement(the_carrier('SKOLEMAAAV4'),'SKOLEMAAAV5'),'SKOLEMAAAV4') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t29_tops_1) ).
cnf(20,plain,
one_sorted_str('SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[6,14]) ).
cnf(43,plain,
element(cast_as_carrier_subset('SKOLEMAAAV4'),powerset(the_carrier('SKOLEMAAAV4'))),
inference('HYPERRESOLVE',[status(thm)],[3,20]) ).
cnf(44,plain,
subset_complement(the_carrier('SKOLEMAAAV4'),'SKOLEMAAAV5') = subset_difference(the_carrier('SKOLEMAAAV4'),cast_as_carrier_subset('SKOLEMAAAV4'),'SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[13,20,15]) ).
cnf(199,plain,
subset_complement(the_carrier('SKOLEMAAAV4'),'SKOLEMAAAV5') = set_difference(cast_as_carrier_subset('SKOLEMAAAV4'),'SKOLEMAAAV5'),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,43,15]),44,theory(equality)]) ).
cnf(200,plain,
( ~ closed_subset('SKOLEMAAAV5','SKOLEMAAAV4')
| ~ open_subset(set_difference(cast_as_carrier_subset('SKOLEMAAAV4'),'SKOLEMAAAV5'),'SKOLEMAAAV4') ),
inference('REWRITE',[status(thm)],[16,199,theory(equality)]) ).
cnf(201,plain,
( closed_subset('SKOLEMAAAV5','SKOLEMAAAV4')
| open_subset(set_difference(cast_as_carrier_subset('SKOLEMAAAV4'),'SKOLEMAAAV5'),'SKOLEMAAAV4') ),
inference('REWRITE',[status(thm)],[17,199,theory(equality)]) ).
cnf(204,plain,
set_difference(cast_as_carrier_subset('SKOLEMAAAV4'),'SKOLEMAAAV5') = subset_difference(the_carrier('SKOLEMAAAV4'),cast_as_carrier_subset('SKOLEMAAAV4'),'SKOLEMAAAV5'),
inference('REWRITE',[status(thm)],[44,199,theory(equality)]) ).
cnf(4516,plain,
( closed_subset('SKOLEMAAAV5','SKOLEMAAAV4')
| ~ open_subset(set_difference(cast_as_carrier_subset('SKOLEMAAAV4'),'SKOLEMAAAV5'),'SKOLEMAAAV4') ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[2,204,theory(equality)]),15,14]) ).
cnf(5177,plain,
closed_subset('SKOLEMAAAV5','SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[4516,201]) ).
cnf(5178,plain,
~ open_subset(set_difference(cast_as_carrier_subset('SKOLEMAAAV4'),'SKOLEMAAAV5'),'SKOLEMAAAV4'),
inference('REWRITE',[status(thm)],[200,5177]) ).
cnf(5179,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[1,5177,14,15]),5178,204,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : SEU319+1 : TPTP v8.1.0. Released v3.3.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n029.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 : Mon Jun 20 10:56:00 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 *
% 0.19/0.46 #<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 2022-06-20T10:56:00
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-06-20T10:56:00
% 1.31/1.50
% 1.31/1.50
% 1.31/1.50 #||
% 1.31/1.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.31/1.50 % SZS output start Refutation
% See solution above
% 1.31/1.50 ||#
% 1.31/1.50
% 1.31/1.50 ; Summary of computation:
% 1.31/1.50 ; 9017 formulas have been input or derived (from 120 formulas).
% 1.31/1.50 ; 5179 (57%) were retained. Of these,
% 1.31/1.50 ; 1764 (34%) were simplified or subsumed later,
% 1.31/1.50 ; 3415 (66%) are still being kept.
% 1.31/1.50 ;
% 1.31/1.50 ; Run time in seconds excluding printing time:
% 1.31/1.50 ; 0.003 0% Read assertion file (1 call)
% 1.31/1.50 ; 0.001 0% Assert (19 calls)
% 1.31/1.50 ; 0.459 44% Process new row (8,837 calls)
% 1.31/1.50 ; 0.130 13% Resolution (238 calls)
% 1.31/1.50 ; 0.003 0% Paramodulation (119 calls)
% 1.31/1.50 ; 0.000 0% Factoring (2 calls)
% 1.31/1.50 ; 0.000 0% Condensing (16 calls)
% 1.31/1.50 ; 0.001 0% Forward subsumption (16 calls)
% 1.31/1.50 ; 0.000 0% Backward subsumption (16 calls)
% 1.31/1.50 ; 0.223 21% Forward simplification (8,837 calls)
% 1.31/1.50 ; 0.140 13% Backward simplification (5,179 calls)
% 1.31/1.50 ; 0.016 2% Ordering (1,957 calls)
% 1.31/1.50 ; 0.000 0% Sortal reasoning (32 calls)
% 1.31/1.50 ; 0.000 0% Purity testing (1 call)
% 1.31/1.50 ; 0.062 6% Other
% 1.31/1.50 ; 1.038 Total
% 1.31/1.50 ; 1.040 Real time
% 1.31/1.50 ;
% 1.31/1.50 ; Term-hash-array has 8,631 terms in all.
% 1.31/1.50 ; Feature-vector-row-index has 11 entries (14 at peak, 16 added, 5 deleted).
% 1.31/1.50 ; Feature-vector-row-index has 69 nodes (107 at peak, 131 added, 62 deleted).
% 1.31/1.50 ; Retrieved 0 possibly forward subsuming rows in 16 calls.
% 1.31/1.50 ; Retrieved 1 possibly backward subsumed row in 16 calls.
% 1.31/1.50 ; Path-index has 6,844 entries (6,844 at peak, 8,709 added, 1,865 deleted).
% 1.31/1.50 ; Path-index has 1,909 nodes (1,996 at peak, 4,200 added, 2,291 deleted).
% 1.31/1.50 ; Trie-index has 6,844 entries (6,844 at peak, 8,709 added, 1,865 deleted).
% 1.31/1.50 ; Trie-index has 48,733 nodes (48,733 at peak, 66,171 added, 17,438 deleted).
% 1.31/1.50 ; Retrieved 53,448 generalization terms in 46,315 calls.
% 1.31/1.50 ; Retrieved 6,377 instance terms in 5,162 calls.
% 1.31/1.50 ; Retrieved 157,316 unifiable terms in 5,661 calls.
% 1.31/1.50 ;
% 1.31/1.50 ; The agenda of rows to give has 3300 entries:
% 1.31/1.50 ; 3 with value (4 16) 191 with value (4 28) 47 with value (4 39)
% 1.31/1.50 ; 20 with value (4 17) 119 with value (4 29) 177 with value (4 40)
% 1.31/1.50 ; 63 with value (4 18) 126 with value (4 30) 16 with value (4 41)
% 1.31/1.50 ; 57 with value (4 19) 97 with value (4 31) 82 with value (4 42)
% 1.31/1.50 ; 127 with value (4 20) 178 with value (4 32) 34 with value (4 43)
% 1.31/1.50 ; 80 with value (4 21) 114 with value (4 33) 52 with value (4 44)
% 1.31/1.50 ; 170 with value (4 22) 80 with value (4 34) 2 with value (4 45)
% 1.31/1.50 ; 194 with value (4 23) 56 with value (4 35) 74 with value (4 46)
% 1.31/1.50 ; 197 with value (4 24) 113 with value (4 36) 48 with value (4 48)
% 1.31/1.50 ; 147 with value (4 25) 81 with value (4 37) 16 with value (4 49)
% 1.31/1.50 ; 179 with value (4 26) 114 with value (4 38) 8 with value (4 50)
% 1.31/1.50 ; 238 with value (4 27)
% 1.31/1.50 Evaluation took:
% 1.31/1.50 1.041 seconds of real time
% 1.31/1.50 0.972072 seconds of user run time
% 1.31/1.50 0.068678 seconds of system run time
% 1.31/1.50 [Run times include 0.127 seconds GC run time.]
% 1.31/1.50 0 calls to %EVAL
% 1.31/1.50 0 page faults and
% 1.31/1.50 78,210,600 bytes consed.
% 1.31/1.50 :PROOF-FOUND
% 1.31/1.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-20T10:56:01
% 1.31/1.50 :PROOF-FOUND
% 1.31/1.50 *
%------------------------------------------------------------------------------