TSTP Solution File: SET077-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET077-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 0.18s 0.52s
% Output : Refutation 0.18s
% 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(127,plain,
member(singleton(X),universal_class),
inference('PARAMODULATE',[status(thm)],[unordered_pairs_in_universal,singleton_set,theory(equality)]) ).
cnf(128,plain,
$false,
inference('REWRITE',[status(thm)],[prove_singletons_are_sets_1,127]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : SET077-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.10/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n015.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Sun Jul 10 04:31:22 EDT 2022
% 0.12/0.33 % 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 2022-07-10T04:31:23
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-10T04:31:23
% 0.18/0.49
% 0.18/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.52 ; Declaring unordered_pair to be commutative.
% 0.18/0.52
% 0.18/0.52 #||
% 0.18/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.52 % SZS output start Refutation
% See solution above
% 0.18/0.52 ||#
% 0.18/0.52
% 0.18/0.52 ; Summary of computation:
% 0.18/0.52 ; 146 formulas have been input or derived (from 19 formulas).
% 0.18/0.52 ; 128 (88%) were retained. Of these,
% 0.18/0.52 ; 13 (10%) were simplified or subsumed later,
% 0.18/0.52 ; 115 (90%) are still being kept.
% 0.18/0.52 ;
% 0.18/0.52 ; Run time in seconds:
% 0.18/0.52 ; 0.022 33% Read assertion file (1 call)
% 0.18/0.52 ; 0.003 4% Assert (120 calls)
% 0.18/0.52 ; 0.006 9% Process new row (126 calls)
% 0.18/0.52 ; 0.000 0% Resolution (36 calls)
% 0.18/0.52 ; 0.000 0% Paramodulation (18 calls)
% 0.18/0.52 ; 0.001 1% Condensing (82 calls)
% 0.18/0.52 ; 0.001 1% Forward subsumption (82 calls)
% 0.18/0.52 ; 0.002 3% Backward subsumption (76 calls)
% 0.18/0.52 ; 0.001 1% Clause clause subsumption (35 calls)
% 0.18/0.52 ; 0.005 7% Forward simplification (126 calls)
% 0.18/0.52 ; 0.003 4% Backward simplification (116 calls)
% 0.18/0.52 ; 0.000 0% Ordering (40 calls)
% 0.18/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.18/0.53 ; 0.000 0% Purity testing (1 call)
% 0.18/0.53 ; 0.023 34% Other
% 0.18/0.53 ; 0.067 Total
% 0.18/0.53 ; 0.069 Real time
% 0.18/0.53 ;
% 0.18/0.53 ; Term-hash-array has 270 terms in all.
% 0.18/0.53 ; Feature-vector-row-index has 76 entries (76 at peak, 76 added, 0 deleted).
% 0.18/0.53 ; Feature-vector-row-index has 326 nodes (326 at peak, 326 added, 0 deleted).
% 0.18/0.53 ; Retrieved 34 possibly forward subsuming rows in 82 calls.
% 0.18/0.53 ; Retrieved 5 possibly backward subsumed rows in 76 calls.
% 0.18/0.53 ; Path-index has 276 entries (279 at peak, 279 added, 3 deleted).
% 0.18/0.53 ; Path-index has 974 nodes (977 at peak, 977 added, 3 deleted).
% 0.18/0.53 ; Trie-index has 276 entries (279 at peak, 279 added, 3 deleted).
% 0.18/0.53 ; Trie-index has 794 nodes (798 at peak, 798 added, 4 deleted).
% 0.18/0.53 ; Retrieved 39 generalization terms in 255 calls.
% 0.18/0.53 ; Retrieved 56 instance terms in 39 calls.
% 0.18/0.53 ; Retrieved 354 unifiable terms in 80 calls.
% 0.18/0.53 ;
% 0.18/0.53 ; The agenda of rows to process has 5 entries:
% 0.18/0.53 ; 1 with value 8 4 with value 9
% 0.18/0.53 ; The agenda of input rows to give has 94 entries:
% 0.18/0.53 ; 6 with value 8 8 with value 15 4 with value 22
% 0.18/0.53 ; 4 with value 9 5 with value 16 1 with value 27
% 0.18/0.53 ; 7 with value 10 3 with value 17 2 with value 30
% 0.18/0.53 ; 11 with value 11 4 with value 18 1 with value 31
% 0.18/0.53 ; 10 with value 12 1 with value 19 1 with value 34
% 0.18/0.53 ; 10 with value 13 4 with value 20 2 with value 35
% 0.18/0.53 ; 6 with value 14 3 with value 21 1 with value 50
% 0.18/0.53 ; The agenda of rows to give has 3 entries:
% 0.18/0.53 ; 1 with value (4 4) 1 with value (4 5) 1 with value (4 7)
% 0.18/0.53 Evaluation took:
% 0.18/0.53 0.069 seconds of real time
% 0.18/0.53 0.061196 seconds of user run time
% 0.18/0.53 0.007879 seconds of system run time
% 0.18/0.53 0 calls to %EVAL
% 0.18/0.53 0 page faults and
% 0.18/0.53 3,365,272 bytes consed.
% 0.18/0.53 :PROOF-FOUND
% 0.18/0.53 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T04:31:23
% 0.18/0.53 :PROOF-FOUND
% 0.18/0.53 *
%------------------------------------------------------------------------------