%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET063-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 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 05:06:43 EDT 2022
% Result : Unsatisfiable 0.76s 0.98s
% Output : Refutation 0.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 7
% Syntax : Number of clauses : 13 ( 7 unt; 2 nHn; 11 RR)
% Number of literals : 20 ( 5 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 : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 11 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(not_subclass_members1,axiom,
( member(not_subclass_element(X,Y),X)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
cnf(not_subclass_members2,axiom,
( ~ member(not_subclass_element(X,Y),Y)
| subclass(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
cnf(subclass_implies_equal,axiom,
( ~ subclass(X,Y)
| ~ subclass(Y,X)
| X = Y ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
cnf(intersection1,axiom,
( ~ member(X,intersection(Y,Z))
| member(X,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection1) ).
cnf(regularity2,axiom,
( X = null_class
| intersection(X,regular(X)) = null_class ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',regularity2) ).
cnf(prove_corollary_of_null_class_is_subclass_1,negated_conjecture,
subclass(x,null_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_1) ).
cnf(prove_corollary_of_null_class_is_subclass_2,negated_conjecture,
x != null_class,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_of_null_class_is_subclass_2) ).
cnf(140,plain,
~ subclass(null_class,x),
inference('UR-RESOLVE',[status(thm)],[subclass_implies_equal,prove_corollary_of_null_class_is_subclass_1,prove_corollary_of_null_class_is_subclass_2]) ).
cnf(141,plain,
member(not_subclass_element(null_class,x),null_class),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[subclass_implies_equal,prove_corollary_of_null_class_is_subclass_1,not_subclass_members1]),prove_corollary_of_null_class_is_subclass_2]) ).
cnf(155,plain,
intersection(x,regular(x)) = null_class,
inference('UR-RESOLVE',[status(thm)],[regularity2,prove_corollary_of_null_class_is_subclass_2]) ).
cnf(249,plain,
~ member(not_subclass_element(null_class,x),x),
inference('UR-RESOLVE',[status(thm)],[not_subclass_members2,140]) ).
cnf(1152,plain,
( ~ member(X,null_class)
| member(X,x) ),
inference('PARAMODULATE',[status(thm)],[intersection1,155,theory(equality)]) ).
cnf(3084,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[1152,141,249]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET063-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n029.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 20:58:01 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T20:58:01
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n029.cluster.edu at 2022-07-10T20:58:01
% 0.76/0.98
% 0.76/0.98
% 0.76/0.98 #||
% 0.76/0.98 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.76/0.98 % SZS output start Refutation
% See solution above
% 0.76/0.99 ||#
% 0.76/0.99
% 0.76/0.99 ; Summary of computation:
% 0.76/0.99 ; 6121 formulas have been input or derived (from 194 formulas).
% 0.76/0.99 ; 3084 (50%) were retained. Of these,
% 0.76/0.99 ; 13 ( 0%) were simplified or subsumed later,
% 0.76/0.99 ; 3071 (100%) are still being kept.
% 0.76/0.99 ;
% 0.76/0.99 ; Run time in seconds:
% 0.76/0.99 ; 0.017 3% Read assertion file (1 call)
% 0.76/0.99 ; 0.003 1% Assert (93 calls)
% 0.76/0.99 ; 0.188 37% Process new row (5,845 calls)
% 0.76/0.99 ; 0.132 26% Resolution (386 calls)
% 0.76/0.99 ; 0.005 1% Paramodulation (193 calls)
% 0.76/0.99 ; 0.001 0% Factoring (3 calls)
% 0.76/0.99 ; 0.004 1% Condensing (357 calls)
% 0.76/0.99 ; 0.029 6% Forward subsumption (357 calls)
% 0.76/0.99 ; 0.007 1% Backward subsumption (344 calls)
% 0.76/0.99 ; 0.000 0% Clause clause subsumption (258 calls)
% 0.76/0.99 ; 0.059 12% Forward simplification (5,845 calls)
% 0.76/0.99 ; 0.020 4% Backward simplification (3,072 calls)
% 0.76/0.99 ; 0.002 0% Ordering (797 calls)
% 0.76/0.99 ; 0.002 0% Sortal reasoning (32 calls)
% 0.76/0.99 ; 0.000 0% Purity testing (1 call)
% 0.76/0.99 ; 0.044 9% Other
% 0.76/0.99 ; 0.513 Total
% 0.76/0.99 ; 0.514 Real time
% 0.76/0.99 ;
% 0.76/0.99 ; Term-hash-array has 5,041 terms in all.
% 0.76/0.99 ; Feature-vector-row-index has 344 entries (344 at peak, 344 added, 0 deleted).
% 0.76/0.99 ; Feature-vector-row-index has 2,004 nodes (2,004 at peak, 2,004 added, 0 deleted).
% 0.76/0.99 ; Retrieved 232 possibly forward subsuming rows in 357 calls.
% 0.76/0.99 ; Retrieved 90 possibly backward subsumed rows in 344 calls.
% 0.76/0.99 ; Path-index has 5,049 entries (5,049 at peak, 5,050 added, 1 deleted).
% 0.76/0.99 ; Path-index has 4,287 nodes (4,287 at peak, 4,288 added, 1 deleted).
% 0.76/0.99 ; Trie-index has 5,049 entries (5,049 at peak, 5,050 added, 1 deleted).
% 0.76/0.99 ; Trie-index has 13,830 nodes (13,830 at peak, 13,831 added, 1 deleted).
% 0.76/0.99 ; Retrieved 4,081 generalization terms in 14,230 calls.
% 0.76/0.99 ; Retrieved 2,746 instance terms in 2,727 calls.
% 0.76/0.99 ; Retrieved 218,441 unifiable terms in 5,353 calls.
% 0.76/0.99 ;
% 0.76/0.99 ; The agenda of rows to process has 5 entries:
% 0.76/0.99 ; 1 with value 9 3 with value 10 1 with value 13
% 0.76/0.99 ; The agenda of rows to give has 2877 entries:
% 0.76/0.99 ; 3 with value (4 10) 5 with value (4 22) 2 with value (4 34)
% 0.76/0.99 ; 66 with value (4 11) 9 with value (4 23) 2 with value (4 37)
% 0.76/0.99 ; 96 with value (4 12) 12 with value (4 24) 1 with value (4 43)
% 0.76/0.99 ; 153 with value (4 13) 4 with value (4 25) 1 with value (4 44)
% 0.76/0.99 ; 216 with value (4 14) 7 with value (4 26) 1 with value (4 45)
% 0.76/0.99 ; 202 with value (4 15) 1 with value (4 27) 3 with value (4 46)
% 0.76/0.99 ; 372 with value (4 16) 7 with value (4 28) 1 with value (4 49)
% 0.76/0.99 ; 439 with value (4 17) 10 with value (4 29) 1 with value (4 51)
% 0.76/0.99 ; 608 with value (4 18) 3 with value (4 30) 1 with value (4 53)
% 0.76/0.99 ; 411 with value (4 19) 1 with value (4 31) 1 with value (4 59)
% 0.76/0.99 ; 169 with value (4 20) 1 with value (4 32) 1 with value (4 63)
% 0.76/0.99 ; 65 with value (4 21) 2 with value (4 33)
% 0.76/0.99 Evaluation took:
% 0.76/0.99 0.515 seconds of real time
% 0.76/0.99 0.480762 seconds of user run time
% 0.76/0.99 0.034076 seconds of system run time
% 0.76/0.99 [Run times include 0.032 seconds GC run time.]
% 0.76/0.99 0 calls to %EVAL
% 0.76/0.99 0 page faults and
% 0.76/0.99 34,627,712 bytes consed.
% 0.76/0.99 :PROOF-FOUND
% 0.76/0.99 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T20:58:02
% 0.76/0.99 :PROOF-FOUND
% 0.76/0.99 *
%------------------------------------------------------------------------------