TSTP Solution File: SET077-6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET077-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n008.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 05:06:58 EDT 2022
% Result : Unsatisfiable 0.21s 0.54s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 3
% Syntax : Number of clauses : 5 ( 5 unt; 0 nHn; 2 RR)
% Number of literals : 5 ( 1 equ; 1 neg)
% Maximal clause size : 1 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 4 ( 3 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unordered_pairs_in_universal,axiom,
member(unordered_pair(X,Y),universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',unordered_pairs_in_universal) ).
cnf(singleton_set,axiom,
unordered_pair(X,X) = singleton(X),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',singleton_set) ).
cnf(prove_singletons_are_sets_1,negated_conjecture,
~ member(singleton(x),universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_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(108,plain,
$false,
inference('REWRITE',[status(thm)],[prove_singletons_are_sets_1,107]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : SET077-6 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 07:09:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T07:09:08
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n008.cluster.edu at 2022-07-11T07:09:08
% 0.21/0.54
% 0.21/0.54
% 0.21/0.54 #||
% 0.21/0.54 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.54 % SZS output start Refutation
% See solution above
% 0.21/0.54 ||#
% 0.21/0.54
% 0.21/0.54 ; Summary of computation:
% 0.21/0.54 ; 117 formulas have been input or derived (from 15 formulas).
% 0.21/0.54 ; 108 (92%) were retained. Of these,
% 0.21/0.54 ; 14 (13%) were simplified or subsumed later,
% 0.21/0.54 ; 94 (87%) are still being kept.
% 0.21/0.54 ;
% 0.21/0.54 ; Run time in seconds excluding printing time:
% 0.21/0.54 ; 0.016 28% Read assertion file (1 call)
% 0.21/0.54 ; 0.004 7% Assert (92 calls)
% 0.21/0.54 ; 0.007 12% Process new row (97 calls)
% 0.21/0.54 ; 0.000 0% Resolution (28 calls)
% 0.21/0.54 ; 0.001 2% Paramodulation (14 calls)
% 0.21/0.54 ; 0.001 2% Condensing (62 calls)
% 0.21/0.54 ; 0.001 2% Forward subsumption (62 calls)
% 0.21/0.54 ; 0.001 2% Backward subsumption (61 calls)
% 0.21/0.54 ; 0.000 0% Clause clause subsumption (20 calls)
% 0.21/0.54 ; 0.001 2% Forward simplification (97 calls)
% 0.21/0.54 ; 0.000 0% Backward simplification (96 calls)
% 0.21/0.54 ; 0.002 3% Ordering (27 calls)
% 0.21/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.21/0.54 ; 0.000 0% Purity testing (1 call)
% 0.21/0.54 ; 0.024 41% Other
% 0.21/0.54 ; 0.058 Total
% 0.21/0.54 ; 0.059 Real time
% 0.21/0.54 ;
% 0.21/0.54 ; Term-hash-array has 250 terms in all.
% 0.21/0.54 ; Feature-vector-row-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 0.21/0.54 ; Feature-vector-row-index has 285 nodes (285 at peak, 285 added, 0 deleted).
% 0.21/0.54 ; Retrieved 21 possibly forward subsuming rows in 62 calls.
% 0.21/0.54 ; Retrieved 4 possibly backward subsumed rows in 61 calls.
% 0.21/0.54 ; Path-index has 255 entries (258 at peak, 259 added, 4 deleted).
% 0.21/0.54 ; Path-index has 979 nodes (982 at peak, 983 added, 4 deleted).
% 0.21/0.54 ; Trie-index has 255 entries (258 at peak, 259 added, 4 deleted).
% 0.21/0.54 ; Trie-index has 768 nodes (772 at peak, 773 added, 5 deleted).
% 0.21/0.54 ; Retrieved 15 generalization terms in 182 calls.
% 0.21/0.54 ; Retrieved 53 instance terms in 34 calls.
% 0.21/0.54 ; Retrieved 212 unifiable terms in 64 calls.
% 0.21/0.54 ;
% 0.21/0.54 ; The agenda of rows to process has 5 entries:
% 0.21/0.54 ; 1 with value 8 4 with value 9
% 0.21/0.54 ; The agenda of input rows to give has 77 entries:
% 0.21/0.54 ; 4 with value 8 6 with value 15 3 with value 22
% 0.21/0.54 ; 3 with value 9 2 with value 16 1 with value 27
% 0.21/0.54 ; 7 with value 10 3 with value 17 2 with value 30
% 0.21/0.54 ; 10 with value 11 1 with value 18 1 with value 31
% 0.21/0.54 ; 8 with value 12 1 with value 19 1 with value 34
% 0.21/0.54 ; 8 with value 13 4 with value 20 2 with value 35
% 0.21/0.54 ; 6 with value 14 3 with value 21 1 with value 50
% 0.21/0.54 ; The agenda of rows to give has 3 entries:
% 0.21/0.54 ; 2 with value (4 5) 1 with value (4 7)
% 0.21/0.54 Evaluation took:
% 0.21/0.54 0.06 seconds of real time
% 0.21/0.54 0.049145 seconds of user run time
% 0.21/0.54 0.011193 seconds of system run time
% 0.21/0.54 0 calls to %EVAL
% 0.21/0.54 0 page faults and
% 0.21/0.54 2,984,424 bytes consed.
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T07:09:08
% 0.21/0.54 :PROOF-FOUND
% 0.21/0.54 *
%------------------------------------------------------------------------------