TSTP Solution File: SET507-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET507-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 0.62s 0.85s
% Output : Refutation 0.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 17 ( 10 unt; 3 nHn; 13 RR)
% Number of literals : 26 ( 7 equ; 11 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 : 13 ( 1 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(subclass_implies_equal,axiom,
( ~ subclass(X,Y)
| ~ subclass(Y,X)
| X = Y ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_implies_equal) ).
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_subclass_of_null_class_1,negated_conjecture,
subclass(universal_class,null_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_universal_class_not_subclass_of_null_class_1) ).
cnf(132,plain,
~ member(omega,complement(universal_class)),
inference('UR-RESOLVE',[status(thm)],[complement1,omega_in_universal]) ).
cnf(152,plain,
member(omega,null_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,prove_universal_class_not_subclass_of_null_class_1,omega_in_universal]) ).
cnf(155,plain,
( X = null_class
| member(regular(X),universal_class) ),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,class_elements_are_sets,regularity1]) ).
cnf(168,plain,
universal_class = null_class,
inference('HYPERRESOLVE',[status(thm)],[subclass_implies_equal,prove_universal_class_not_subclass_of_null_class_1,class_elements_are_sets]) ).
cnf(204,plain,
~ member(omega,complement(null_class)),
inference('REWRITE',[status(thm)],[132,168,theory(equality)]) ).
cnf(211,plain,
( X = null_class
| member(regular(X),null_class) ),
inference('REWRITE',[status(thm)],[155,168,theory(equality)]) ).
cnf(368,plain,
~ subclass(null_class,complement(null_class)),
inference('UR-RESOLVE',[status(thm)],[subclass_members,204,152]) ).
cnf(509,plain,
null_class != complement(null_class),
inference('UR-RESOLVE',[status(thm)],[equal_implies_subclass1,368]) ).
cnf(2105,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[complement1,211,regularity1]),509]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET507-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n006.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Sun Jul 10 11:27:36 EDT 2022
% 0.18/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T11:27:36
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-10T11:27:36
% 0.62/0.85
% 0.62/0.85
% 0.62/0.85 #||
% 0.62/0.85 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.62/0.85 % SZS output start Refutation
% See solution above
% 0.69/0.87 ||#
% 0.69/0.87
% 0.69/0.87 ; Summary of computation:
% 0.69/0.87 ; 4335 formulas have been input or derived (from 195 formulas).
% 0.69/0.87 ; 2105 (49%) were retained. Of these,
% 0.69/0.87 ; 78 ( 4%) were simplified or subsumed later,
% 0.69/0.87 ; 2027 (96%) are still being kept.
% 0.69/0.87 ;
% 0.69/0.87 ; Run time in seconds excluding printing time:
% 0.69/0.87 ; 0.021 5% Read assertion file (1 call)
% 0.69/0.87 ; 0.004 1% Assert (113 calls)
% 0.69/0.87 ; 0.125 32% Process new row (3,995 calls)
% 0.69/0.87 ; 0.101 26% Resolution (388 calls)
% 0.69/0.87 ; 0.006 2% Paramodulation (194 calls)
% 0.69/0.87 ; 0.000 0% Factoring (4 calls)
% 0.69/0.87 ; 0.008 2% Condensing (386 calls)
% 0.69/0.87 ; 0.010 3% Forward subsumption (386 calls)
% 0.69/0.87 ; 0.011 3% Backward subsumption (367 calls)
% 0.69/0.87 ; 0.000 0% Clause clause subsumption (393 calls)
% 0.69/0.87 ; 0.040 10% Forward simplification (3,970 calls)
% 0.69/0.87 ; 0.016 4% Backward simplification (2,090 calls)
% 0.69/0.87 ; 0.003 1% Ordering (957 calls)
% 0.69/0.87 ; 0.000 0% Sortal reasoning (32 calls)
% 0.69/0.87 ; 0.000 0% Purity testing (1 call)
% 0.69/0.87 ; 0.048 12% Other
% 0.69/0.87 ; 0.393 Total
% 0.69/0.87 ; 0.410 Real time
% 0.69/0.87 ;
% 0.69/0.87 ; Term-hash-array has 3,669 terms in all.
% 0.69/0.87 ; Feature-vector-row-index has 330 entries (330 at peak, 367 added, 37 deleted).
% 0.69/0.87 ; Feature-vector-row-index has 1,908 nodes (1,908 at peak, 2,152 added, 244 deleted).
% 0.69/0.87 ; Retrieved 398 possibly forward subsuming rows in 386 calls.
% 0.69/0.87 ; Retrieved 83 possibly backward subsumed rows in 367 calls.
% 0.69/0.87 ; Path-index has 3,600 entries (3,600 at peak, 3,739 added, 139 deleted).
% 0.69/0.87 ; Path-index has 4,503 nodes (4,503 at peak, 4,661 added, 158 deleted).
% 0.69/0.87 ; Trie-index has 3,600 entries (3,600 at peak, 3,739 added, 139 deleted).
% 0.69/0.87 ; Trie-index has 10,786 nodes (10,786 at peak, 11,150 added, 364 deleted).
% 0.69/0.87 ; Retrieved 2,827 generalization terms in 9,921 calls.
% 0.69/0.87 ; Retrieved 1,747 instance terms in 1,722 calls.
% 0.69/0.87 ; Retrieved 133,258 unifiable terms in 4,170 calls.
% 0.69/0.87 ;
% 0.69/0.87 ; The agenda of rows to process has 91 entries:
% 0.69/0.87 ; 2 with value 12 2 with value 16 12 with value 20
% 0.69/0.87 ; 1 with value 13 4 with value 17 38 with value 21
% 0.69/0.87 ; 6 with value 14 9 with value 18 5 with value 22
% 0.69/0.87 ; 1 with value 15 10 with value 19 1 with value 27
% 0.69/0.87 ; The agenda of rows to give has 1850 entries:
% 0.69/0.87 ; 27 with value (4 11) 9 with value (4 23) 2 with value (4 37)
% 0.69/0.87 ; 74 with value (4 12) 10 with value (4 24) 1 with value (4 43)
% 0.69/0.87 ; 98 with value (4 13) 3 with value (4 25) 1 with value (4 44)
% 0.69/0.87 ; 105 with value (4 14) 9 with value (4 26) 1 with value (4 45)
% 0.69/0.87 ; 109 with value (4 15) 2 with value (4 27) 4 with value (4 46)
% 0.69/0.87 ; 263 with value (4 16) 9 with value (4 28) 2 with value (4 49)
% 0.69/0.87 ; 272 with value (4 17) 10 with value (4 29) 1 with value (4 51)
% 0.69/0.87 ; 426 with value (4 18) 3 with value (4 30) 1 with value (4 53)
% 0.69/0.87 ; 273 with value (4 19) 1 with value (4 31) 1 with value (4 55)
% 0.69/0.87 ; 70 with value (4 20) 1 with value (4 32) 1 with value (4 59)
% 0.69/0.87 ; 48 with value (4 21) 2 with value (4 33) 1 with value (4 63)
% 0.69/0.87 ; 7 with value (4 22) 3 with value (4 34)
% 0.69/0.87 Evaluation took:
% 0.69/0.87 0.41 seconds of real time
% 0.69/0.87 0.362553 seconds of user run time
% 0.69/0.87 0.047107 seconds of system run time
% 0.69/0.87 [Run times include 0.027 seconds GC run time.]
% 0.69/0.87 0 calls to %EVAL
% 0.69/0.87 0 page faults and
% 0.69/0.87 26,144,800 bytes consed.
% 0.69/0.87 :PROOF-FOUND
% 0.69/0.87 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T11:27:36
% 0.69/0.87 :PROOF-FOUND
% 0.69/0.87 *
%------------------------------------------------------------------------------