TSTP Solution File: SET080-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET080-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 05:07:01 EDT 2022
% Result : Unsatisfiable 0.52s 0.70s
% Output : Refutation 0.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 8 unt; 0 nHn; 7 RR)
% Number of literals : 15 ( 1 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 9 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(subclass_members,axiom,
( ~ subclass(X,Y)
| ~ member(Z,X)
| member(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
cnf(class_elements_are_sets,axiom,
subclass(X,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
cnf(unordered_pair3,axiom,
( ~ member(X,universal_class)
| member(X,unordered_pair(Y,X)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair3) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(inductive1,axiom,
( ~ inductive(X)
| member(null_class,X) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',inductive1) ).
cnf(omega_is_inductive1,axiom,
inductive(omega),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',omega_is_inductive1) ).
cnf(prove_null_class_in_its_singleton_1,negated_conjecture,
~ member(null_class,singleton(null_class)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_null_class_in_its_singleton_1) ).
cnf(104,plain,
member(null_class,omega),
inference('HYPERRESOLVE',[status(thm)],[inductive1,omega_is_inductive1]) ).
cnf(235,plain,
member(null_class,universal_class),
inference('HYPERRESOLVE',[status(thm)],[subclass_members,104,class_elements_are_sets]) ).
cnf(253,plain,
member(null_class,unordered_pair(X,null_class)),
inference('HYPERRESOLVE',[status(thm)],[unordered_pair3,235]) ).
cnf(956,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[253,singleton_set,theory(equality)]),prove_null_class_in_its_singleton_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET080-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n028.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 11:35:12 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 *
% 0.19/0.48 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.49 *
% 0.19/0.49 "."
% 0.19/0.49 *
% 0.19/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T11:35:12
% 0.19/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-10T11:35:12
% 0.52/0.70
% 0.52/0.70
% 0.52/0.70 #||
% 0.52/0.70 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.52/0.70 % SZS output start Refutation
% See solution above
% 0.52/0.71 ||#
% 0.52/0.71
% 0.52/0.71 ; Summary of computation:
% 0.52/0.71 ; 1970 formulas have been input or derived (from 140 formulas).
% 0.52/0.71 ; 956 (49%) were retained. Of these,
% 0.52/0.71 ; 13 ( 1%) were simplified or subsumed later,
% 0.52/0.71 ; 943 (99%) are still being kept.
% 0.52/0.71 ;
% 0.52/0.71 ; Run time in seconds excluding printing time:
% 0.52/0.71 ; 0.017 8% Read assertion file (1 call)
% 0.52/0.71 ; 0.002 1% Assert (92 calls)
% 0.52/0.71 ; 0.062 28% Process new row (1,702 calls)
% 0.52/0.71 ; 0.059 27% Resolution (278 calls)
% 0.52/0.71 ; 0.003 1% Paramodulation (139 calls)
% 0.52/0.71 ; 0.000 0% Factoring (3 calls)
% 0.52/0.71 ; 0.003 1% Condensing (249 calls)
% 0.52/0.71 ; 0.008 4% Forward subsumption (249 calls)
% 0.52/0.71 ; 0.005 2% Backward subsumption (236 calls)
% 0.52/0.71 ; 0.000 0% Clause clause subsumption (141 calls)
% 0.52/0.71 ; 0.026 12% Forward simplification (1,702 calls)
% 0.52/0.71 ; 0.005 2% Backward simplification (944 calls)
% 0.52/0.71 ; 0.002 1% Ordering (531 calls)
% 0.52/0.71 ; 0.001 0% Sortal reasoning (32 calls)
% 0.52/0.71 ; 0.000 0% Purity testing (1 call)
% 0.52/0.71 ; 0.026 12% Other
% 0.52/0.71 ; 0.219 Total
% 0.52/0.71 ; 0.221 Real time
% 0.52/0.71 ;
% 0.52/0.71 ; Term-hash-array has 1,909 terms in all.
% 0.52/0.71 ; Feature-vector-row-index has 236 entries (236 at peak, 236 added, 0 deleted).
% 0.52/0.71 ; Feature-vector-row-index has 1,500 nodes (1,500 at peak, 1,500 added, 0 deleted).
% 0.52/0.71 ; Retrieved 128 possibly forward subsuming rows in 249 calls.
% 0.52/0.71 ; Retrieved 44 possibly backward subsumed rows in 236 calls.
% 0.52/0.71 ; Path-index has 1,916 entries (1,916 at peak, 1,917 added, 1 deleted).
% 0.52/0.71 ; Path-index has 3,669 nodes (3,669 at peak, 3,670 added, 1 deleted).
% 0.52/0.71 ; Trie-index has 1,916 entries (1,916 at peak, 1,917 added, 1 deleted).
% 0.52/0.71 ; Trie-index has 6,085 nodes (6,085 at peak, 6,086 added, 1 deleted).
% 0.52/0.71 ; Retrieved 1,295 generalization terms in 4,165 calls.
% 0.52/0.71 ; Retrieved 725 instance terms in 707 calls.
% 0.52/0.71 ; Retrieved 44,165 unifiable terms in 2,314 calls.
% 0.52/0.71 ;
% 0.52/0.71 ; The agenda of rows to process has 112 entries:
% 0.52/0.71 ; 1 with value 11 2 with value 15 17 with value 20
% 0.52/0.71 ; 4 with value 12 20 with value 16 2 with value 21
% 0.52/0.71 ; 1 with value 13 24 with value 17 1 with value 29
% 0.52/0.71 ; 8 with value 14 32 with value 18
% 0.52/0.71 ; The agenda of rows to give has 803 entries:
% 0.52/0.71 ; 31 with value (4 10) 4 with value (4 22) 2 with value (4 34)
% 0.52/0.71 ; 34 with value (4 11) 8 with value (4 23) 2 with value (4 37)
% 0.52/0.71 ; 54 with value (4 12) 5 with value (4 24) 1 with value (4 43)
% 0.52/0.71 ; 66 with value (4 13) 4 with value (4 25) 1 with value (4 44)
% 0.52/0.71 ; 95 with value (4 14) 6 with value (4 26) 1 with value (4 45)
% 0.52/0.71 ; 97 with value (4 15) 1 with value (4 28) 3 with value (4 46)
% 0.52/0.71 ; 108 with value (4 16) 5 with value (4 29) 1 with value (4 49)
% 0.52/0.71 ; 89 with value (4 17) 3 with value (4 30) 1 with value (4 51)
% 0.52/0.71 ; 79 with value (4 18) 1 with value (4 31) 1 with value (4 53)
% 0.52/0.71 ; 54 with value (4 19) 1 with value (4 32) 1 with value (4 59)
% 0.52/0.71 ; 23 with value (4 20) 2 with value (4 33) 1 with value (4 63)
% 0.52/0.71 ; 18 with value (4 21)
% 0.52/0.71 Evaluation took:
% 0.52/0.71 0.221 seconds of real time
% 0.52/0.71 0.200859 seconds of user run time
% 0.52/0.71 0.020046 seconds of system run time
% 0.52/0.71 [Run times include 0.016 seconds GC run time.]
% 0.52/0.71 0 calls to %EVAL
% 0.52/0.71 0 page faults and
% 0.52/0.71 13,369,472 bytes consed.
% 0.52/0.71 :PROOF-FOUND
% 0.52/0.71 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T11:35:12
% 0.52/0.71 :PROOF-FOUND
% 0.52/0.71 *
%------------------------------------------------------------------------------