TSTP Solution File: SET506-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET506-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 05:10:02 EDT 2022
% Result : Unsatisfiable 0.69s 0.92s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 9 unt; 2 nHn; 10 RR)
% Number of literals : 20 ( 5 equ; 8 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-1 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(equal_implies_subclass1,axiom,
( X != Y
| subclass(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',equal_implies_subclass1) ).
cnf(complement1,axiom,
( ~ member(X,complement(Y))
| ~ member(X,Y) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
cnf(omega_in_universal,axiom,
member(omega,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',omega_in_universal) ).
cnf(regularity1,axiom,
( X = null_class
| member(regular(X),X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
cnf(prove_universal_class_not_null_class_1,negated_conjecture,
universal_class = null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_universal_class_not_null_class_1) ).
cnf(128,plain,
subclass(X,null_class),
inference('REWRITE',[status(thm)],[class_elements_are_sets,prove_universal_class_not_null_class_1,theory(equality)]) ).
cnf(145,plain,
member(omega,null_class),
inference('REWRITE',[status(thm)],[omega_in_universal,prove_universal_class_not_null_class_1,theory(equality)]) ).
cnf(168,plain,
~ member(omega,complement(null_class)),
inference('UR-RESOLVE',[status(thm)],[complement1,145]) ).
cnf(184,plain,
( X = null_class
| member(regular(X),null_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,128,regularity1]) ).
cnf(360,plain,
~ subclass(null_class,complement(null_class)),
inference('UR-RESOLVE',[status(thm)],[subclass_members,168,145]) ).
cnf(586,plain,
null_class != complement(null_class),
inference('UR-RESOLVE',[status(thm)],[equal_implies_subclass1,360]) ).
cnf(2340,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[complement1,184,regularity1]),586]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET506-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Sun Jul 10 10:00:26 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T10:00:26
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-10T10:00:26
% 0.69/0.92
% 0.69/0.92
% 0.69/0.92 #||
% 0.69/0.92 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.69/0.92 % SZS output start Refutation
% See solution above
% 0.69/0.92 ||#
% 0.69/0.92
% 0.69/0.92 ; Summary of computation:
% 0.69/0.92 ; 4767 formulas have been input or derived (from 184 formulas).
% 0.69/0.92 ; 2340 (49%) were retained. Of these,
% 0.69/0.92 ; 52 ( 2%) were simplified or subsumed later,
% 0.69/0.92 ; 2288 (98%) are still being kept.
% 0.69/0.92 ;
% 0.69/0.92 ; Run time in seconds excluding printing time:
% 0.69/0.92 ; 0.021 5% Read assertion file (1 call)
% 0.69/0.92 ; 0.002 0% Assert (113 calls)
% 0.69/0.92 ; 0.137 31% Process new row (4,420 calls)
% 0.69/0.92 ; 0.127 28% Resolution (366 calls)
% 0.69/0.92 ; 0.007 2% Paramodulation (183 calls)
% 0.69/0.92 ; 0.000 0% Factoring (4 calls)
% 0.69/0.92 ; 0.003 1% Condensing (376 calls)
% 0.69/0.92 ; 0.012 3% Forward subsumption (376 calls)
% 0.69/0.92 ; 0.014 3% Backward subsumption (359 calls)
% 0.69/0.92 ; 0.003 1% Clause clause subsumption (403 calls)
% 0.69/0.92 ; 0.058 13% Forward simplification (4,420 calls)
% 0.69/0.92 ; 0.018 4% Backward simplification (2,325 calls)
% 0.69/0.92 ; 0.005 1% Ordering (972 calls)
% 0.69/0.92 ; 0.001 0% Sortal reasoning (32 calls)
% 0.69/0.92 ; 0.000 0% Purity testing (1 call)
% 0.69/0.92 ; 0.038 9% Other
% 0.69/0.92 ; 0.446 Total
% 0.69/0.92 ; 0.447 Real time
% 0.69/0.92 ;
% 0.69/0.92 ; Term-hash-array has 4,073 terms in all.
% 0.69/0.92 ; Feature-vector-row-index has 339 entries (339 at peak, 359 added, 20 deleted).
% 0.69/0.92 ; Feature-vector-row-index has 1,956 nodes (1,956 at peak, 2,097 added, 141 deleted).
% 0.69/0.92 ; Retrieved 377 possibly forward subsuming rows in 376 calls.
% 0.69/0.92 ; Retrieved 89 possibly backward subsumed rows in 359 calls.
% 0.69/0.92 ; Path-index has 4,036 entries (4,036 at peak, 4,120 added, 84 deleted).
% 0.69/0.92 ; Path-index has 4,592 nodes (4,592 at peak, 4,695 added, 103 deleted).
% 0.69/0.92 ; Trie-index has 4,036 entries (4,036 at peak, 4,120 added, 84 deleted).
% 0.69/0.92 ; Trie-index has 12,197 nodes (12,197 at peak, 12,415 added, 218 deleted).
% 0.69/0.92 ; Retrieved 3,162 generalization terms in 11,242 calls.
% 0.69/0.92 ; Retrieved 1,989 instance terms in 1,965 calls.
% 0.69/0.92 ; Retrieved 155,531 unifiable terms in 4,328 calls.
% 0.69/0.92 ;
% 0.69/0.92 ; The agenda of rows to process has 97 entries:
% 0.69/0.92 ; 2 with value 12 2 with value 16 6 with value 20
% 0.69/0.92 ; 1 with value 13 4 with value 17 44 with value 21
% 0.69/0.92 ; 6 with value 14 9 with value 18 5 with value 22
% 0.69/0.92 ; 1 with value 15 16 with value 19 1 with value 27
% 0.69/0.92 ; The agenda of rows to give has 2104 entries:
% 0.69/0.92 ; 33 with value (4 11) 9 with value (4 23) 2 with value (4 37)
% 0.69/0.92 ; 72 with value (4 12) 11 with value (4 24) 1 with value (4 43)
% 0.69/0.92 ; 106 with value (4 13) 4 with value (4 25) 1 with value (4 44)
% 0.69/0.92 ; 132 with value (4 14) 7 with value (4 26) 1 with value (4 45)
% 0.69/0.92 ; 110 with value (4 15) 2 with value (4 27) 4 with value (4 46)
% 0.69/0.92 ; 294 with value (4 16) 9 with value (4 28) 2 with value (4 49)
% 0.69/0.92 ; 264 with value (4 17) 10 with value (4 29) 1 with value (4 51)
% 0.69/0.92 ; 482 with value (4 18) 3 with value (4 30) 1 with value (4 53)
% 0.69/0.92 ; 303 with value (4 19) 1 with value (4 31) 1 with value (4 55)
% 0.69/0.92 ; 168 with value (4 20) 1 with value (4 32) 1 with value (4 59)
% 0.69/0.92 ; 57 with value (4 21) 2 with value (4 33) 1 with value (4 63)
% 0.69/0.92 ; 5 with value (4 22) 3 with value (4 34)
% 0.69/0.92 Evaluation took:
% 0.69/0.92 0.448 seconds of real time
% 0.69/0.92 0.412871 seconds of user run time
% 0.69/0.92 0.035036 seconds of system run time
% 0.69/0.92 [Run times include 0.031 seconds GC run time.]
% 0.69/0.92 0 calls to %EVAL
% 0.69/0.92 0 page faults and
% 0.69/0.92 28,483,056 bytes consed.
% 0.69/0.92 :PROOF-FOUND
% 0.69/0.92 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T10:00:27
% 0.69/0.92 :PROOF-FOUND
% 0.69/0.92 *
%------------------------------------------------------------------------------