TSTP Solution File: SET078-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET078-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 05:06:59 EDT 2022
% Result : Unsatisfiable 0.20s 0.53s
% Output : Refutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 4
% Syntax : Number of clauses : 6 ( 5 unt; 0 nHn; 2 RR)
% Number of literals : 7 ( 1 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 6 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
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(unordered_pairs_in_universal,axiom,
member(unordered_pair(X,Y),universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(prove_corollary_1_to_singletons_are_sets_1,negated_conjecture,
~ member(singleton(y),unordered_pair(x,singleton(y))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_corollary_1_to_singletons_are_sets_1) ).
cnf(107,plain,
member(singleton(X),universal_class),
inference('PARAMODULATE',[status(thm)],[unordered_pairs_in_universal,singleton_set,theory(equality)]) ).
cnf(121,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[unordered_pair3,prove_corollary_1_to_singletons_are_sets_1]),107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET078-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n024.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 22:34:43 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-10T22:34:43
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-07-10T22:34:43
% 0.20/0.53
% 0.20/0.53
% 0.20/0.53 #||
% 0.20/0.53 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.53 % SZS output start Refutation
% See solution above
% 0.20/0.54 ||#
% 0.20/0.54
% 0.20/0.54 ; Summary of computation:
% 0.20/0.54 ; 153 formulas have been input or derived (from 33 formulas).
% 0.20/0.54 ; 121 (79%) were retained. Of these,
% 0.20/0.54 ; 13 (11%) were simplified or subsumed later,
% 0.20/0.54 ; 108 (89%) are still being kept.
% 0.20/0.54 ;
% 0.20/0.54 ; Run time in seconds excluding printing time:
% 0.20/0.54 ; 0.017 27% Read assertion file (1 call)
% 0.20/0.54 ; 0.001 2% Assert (92 calls)
% 0.20/0.54 ; 0.008 13% Process new row (125 calls)
% 0.20/0.54 ; 0.002 3% Resolution (64 calls)
% 0.20/0.54 ; 0.000 0% Paramodulation (32 calls)
% 0.20/0.54 ; 0.000 0% Factoring (2 calls)
% 0.20/0.54 ; 0.001 2% Condensing (65 calls)
% 0.20/0.54 ; 0.002 3% Forward subsumption (65 calls)
% 0.20/0.54 ; 0.002 3% Backward subsumption (64 calls)
% 0.20/0.54 ; 0.001 2% Clause clause subsumption (21 calls)
% 0.20/0.54 ; 0.002 3% Forward simplification (125 calls)
% 0.20/0.54 ; 0.001 2% Backward simplification (109 calls)
% 0.20/0.54 ; 0.000 0% Ordering (43 calls)
% 0.20/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.20/0.54 ; 0.000 0% Purity testing (1 call)
% 0.20/0.54 ; 0.025 40% Other
% 0.20/0.54 ; 0.062 Total
% 0.20/0.54 ; 0.064 Real time
% 0.20/0.54 ;
% 0.20/0.54 ; Term-hash-array has 277 terms in all.
% 0.20/0.54 ; Feature-vector-row-index has 64 entries (64 at peak, 64 added, 0 deleted).
% 0.20/0.54 ; Feature-vector-row-index has 307 nodes (307 at peak, 307 added, 0 deleted).
% 0.20/0.54 ; Retrieved 22 possibly forward subsuming rows in 65 calls.
% 0.20/0.54 ; Retrieved 4 possibly backward subsumed rows in 64 calls.
% 0.20/0.54 ; Path-index has 286 entries (286 at peak, 287 added, 1 deleted).
% 0.20/0.54 ; Path-index has 1,045 nodes (1,045 at peak, 1,046 added, 1 deleted).
% 0.20/0.54 ; Trie-index has 286 entries (286 at peak, 287 added, 1 deleted).
% 0.20/0.54 ; Trie-index has 846 nodes (846 at peak, 847 added, 1 deleted).
% 0.20/0.54 ; Retrieved 62 generalization terms in 256 calls.
% 0.20/0.54 ; Retrieved 62 instance terms in 44 calls.
% 0.20/0.54 ; Retrieved 679 unifiable terms in 149 calls.
% 0.20/0.54 ;
% 0.20/0.54 ; The agenda of rows to process has 3 entries:
% 0.20/0.54 ; 1 with value 8 1 with value 13 1 with value 15
% 0.20/0.54 ; The agenda of input rows to give has 59 entries:
% 0.20/0.54 ; 6 with value 11 3 with value 17 1 with value 27
% 0.20/0.54 ; 8 with value 12 1 with value 18 2 with value 30
% 0.20/0.54 ; 8 with value 13 1 with value 19 1 with value 31
% 0.20/0.54 ; 6 with value 14 4 with value 20 1 with value 34
% 0.20/0.54 ; 6 with value 15 3 with value 21 2 with value 35
% 0.20/0.54 ; 2 with value 16 3 with value 22 1 with value 50
% 0.20/0.54 ; The agenda of rows to give has 16 entries:
% 0.20/0.54 ; 2 with value (4 5) 1 with value (4 9) 3 with value (4 13)
% 0.20/0.54 ; 4 with value (4 7) 2 with value (4 10) 1 with value (4 15)
% 0.20/0.54 ; 3 with value (4 8)
% 0.20/0.54 Evaluation took:
% 0.20/0.54 0.064 seconds of real time
% 0.20/0.54 0.058925 seconds of user run time
% 0.20/0.54 0.005045 seconds of system run time
% 0.20/0.54 0 calls to %EVAL
% 0.20/0.54 0 page faults and
% 0.20/0.54 3,233,864 bytes consed.
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T22:34:43
% 0.20/0.54 :PROOF-FOUND
% 0.20/0.54 *
%------------------------------------------------------------------------------