%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET146-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 05:07:50 EDT 2022
% Result : Unsatisfiable 1.81s 1.98s
% Output : Refutation 1.81s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 6
% Syntax : Number of clauses : 12 ( 7 unt; 2 nHn; 9 RR)
% Number of literals : 18 ( 4 equ; 7 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; 3 con; 0-2 aty)
% Number of variables : 11 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(intersection1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(complement1,axiom,
( ~ member(X,complement(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(prove_intersection_with_null_class_1,negated_conjecture,
intersection(null_class,x) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_intersection_with_null_class_1) ).
cnf(140,plain,
member(regular(intersection(null_class,x)),intersection(null_class,x)),
inference('UR-RESOLVE',[status(thm)],[regularity1,prove_intersection_with_null_class_1]) ).
cnf(153,plain,
( X = null_class
| member(regular(X),universal_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,regularity1]) ).
cnf(2335,plain,
complement(universal_class) = null_class,
inference('HYPERRESOLVE',[status(thm)],[complement1,153,regularity1]) ).
cnf(2551,plain,
member(regular(intersection(null_class,x)),universal_class),
inference('UR-RESOLVE',[status(thm)],[153,prove_intersection_with_null_class_1]) ).
cnf(7416,plain,
~ member(regular(intersection(null_class,x)),null_class),
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[complement1,2551]),2335,theory(equality)]) ).
cnf(8899,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[intersection1,140]),7416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET146-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n021.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 : Sun Jul 10 13:13:52 EDT 2022
% 0.13/0.35 % 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 2022-07-10T13:13:52
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-10T13:13:52
% 1.81/1.98
% 1.81/1.98
% 1.81/1.98 #||
% 1.81/1.98 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.81/1.98 % SZS output start Refutation
% See solution above
% 1.81/1.98 ||#
% 1.81/1.98
% 1.81/1.98 ; Summary of computation:
% 1.81/1.98 ; 17827 formulas have been input or derived (from 365 formulas).
% 1.81/1.98 ; 8899 (50%) were retained. Of these,
% 1.81/1.98 ; 365 ( 4%) were simplified or subsumed later,
% 1.81/1.98 ; 8534 (96%) are still being kept.
% 1.81/1.98 ;
% 1.81/1.98 ; Run time in seconds:
% 1.81/1.98 ; 0.021 1% Read assertion file (1 call)
% 1.81/1.98 ; 0.003 0% Assert (113 calls)
% 1.81/1.98 ; 0.577 38% Process new row (16,793 calls)
% 1.81/1.98 ; 0.474 32% Resolution (728 calls)
% 1.81/1.98 ; 0.006 0% Paramodulation (364 calls)
% 1.81/1.98 ; 0.000 0% Factoring (5 calls)
% 1.81/1.98 ; 0.004 0% Condensing (910 calls)
% 1.81/1.98 ; 0.048 3% Forward subsumption (910 calls)
% 1.81/1.98 ; 0.037 2% Backward subsumption (880 calls)
% 1.81/1.98 ; 0.003 0% Clause clause subsumption (1,896 calls)
% 1.81/1.98 ; 0.161 11% Forward simplification (16,787 calls)
% 1.81/1.98 ; 0.077 5% Backward simplification (8,884 calls)
% 1.81/1.98 ; 0.010 1% Ordering (2,629 calls)
% 1.81/1.98 ; 0.000 0% Sortal reasoning (32 calls)
% 1.81/1.98 ; 0.000 0% Purity testing (1 call)
% 1.81/1.98 ; 0.081 5% Other
% 1.81/1.98 ; 1.502 Total
% 1.81/1.98 ; 1.502 Real time
% 1.81/1.98 ;
% 1.81/1.98 ; Term-hash-array has 13,496 terms in all.
% 1.81/1.98 ; Feature-vector-row-index has 856 entries (856 at peak, 880 added, 24 deleted).
% 1.81/1.98 ; Feature-vector-row-index has 4,318 nodes (4,318 at peak, 4,430 added, 112 deleted).
% 1.81/1.98 ; Retrieved 1,861 possibly forward subsuming rows in 910 calls.
% 1.81/1.98 ; Retrieved 598 possibly backward subsumed rows in 880 calls.
% 1.81/1.98 ; Path-index has 13,081 entries (13,081 at peak, 13,552 added, 471 deleted).
% 1.81/1.98 ; Path-index has 7,019 nodes (7,019 at peak, 7,140 added, 121 deleted).
% 1.81/1.98 ; Trie-index has 13,081 entries (13,081 at peak, 13,552 added, 471 deleted).
% 1.81/1.98 ; Trie-index has 38,486 nodes (38,486 at peak, 39,575 added, 1,089 deleted).
% 1.81/1.98 ; Retrieved 11,340 generalization terms in 41,574 calls.
% 1.81/1.98 ; Retrieved 8,151 instance terms in 8,003 calls.
% 1.81/1.98 ; Retrieved 1,033,384 unifiable terms in 13,225 calls.
% 1.81/1.98 ;
% 1.81/1.98 ; The agenda of rows to process has 332 entries:
% 1.81/1.98 ; 3 with value 11 1 with value 17 56 with value 21
% 1.81/1.98 ; 1 with value 13 8 with value 18 134 with value 22
% 1.81/1.98 ; 1 with value 14 16 with value 19 63 with value 23
% 1.81/1.98 ; 4 with value 16 44 with value 20 1 with value 24
% 1.81/1.98 ; The agenda of rows to give has 8190 entries:
% 1.81/1.98 ; 1 with value (4 11) 16 with value (4 23) 2 with value (4 37)
% 1.81/1.98 ; 156 with value (4 12) 12 with value (4 24) 1 with value (4 43)
% 1.81/1.98 ; 211 with value (4 13) 4 with value (4 25) 1 with value (4 44)
% 1.81/1.98 ; 403 with value (4 14) 9 with value (4 26) 1 with value (4 45)
% 1.81/1.98 ; 368 with value (4 15) 16 with value (4 27) 4 with value (4 46)
% 1.81/1.98 ; 562 with value (4 16) 10 with value (4 28) 2 with value (4 49)
% 1.81/1.98 ; 881 with value (4 17) 12 with value (4 29) 1 with value (4 51)
% 1.81/1.98 ; 1226 with value (4 18) 11 with value (4 30) 1 with value (4 53)
% 1.81/1.98 ; 1551 with value (4 19) 3 with value (4 31) 1 with value (4 55)
% 1.81/1.98 ; 1501 with value (4 20) 1 with value (4 32) 1 with value (4 59)
% 1.81/1.98 ; 950 with value (4 21) 2 with value (4 33) 1 with value (4 63)
% 1.81/1.98 ; 265 with value (4 22) 3 with value (4 34)
% 1.81/1.98 Evaluation took:
% 1.81/1.98 1.503 seconds of real time
% 1.81/1.98 1.399352 seconds of user run time
% 1.81/1.98 0.103229 seconds of system run time
% 1.81/1.98 [Run times include 0.176 seconds GC run time.]
% 1.81/1.98 0 calls to %EVAL
% 1.81/1.98 0 page faults and
% 1.81/1.98 104,912,640 bytes consed.
% 1.81/1.98 :PROOF-FOUND
% 1.81/1.98 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T13:13:54
% 1.81/1.98 :PROOF-FOUND
% 1.81/1.98 *
%------------------------------------------------------------------------------