TSTP Solution File: SET078-7 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET078-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 0.17s 0.52s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 1
% Number of leaves : 3
% Syntax : Number of clauses : 4 ( 3 unt; 0 nHn; 2 RR)
% Number of literals : 5 ( 0 equ; 2 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 3 ( 2 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(unordered_pair2,axiom,
( ~ member(X,universal_class)
| member(X,unordered_pair(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair2) ).
cnf(singletons_are_sets,axiom,
member(singleton(X),universal_class),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',singletons_are_sets) ).
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(146,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[unordered_pair2,singletons_are_sets,prove_corollary_1_to_singletons_are_sets_1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET078-7 : TPTP v8.1.0. Bugfixed v2.1.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n018.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 : Sat Jul 9 18:51:27 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.43 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.44 *
% 0.17/0.44 *
% 0.17/0.44 #<PACKAGE "SNARK-USER">
% 0.17/0.44 *
% 0.17/0.44 SNARK-TPTP-OPTIONS
% 0.17/0.44 *
% 0.17/0.44 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.44 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.44 (USE-FACTORING :POS)
% 0.17/0.44 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.44 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.44 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.44 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.44 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.44 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.44 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.44 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.44 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.44 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.44 *
% 0.17/0.44 "."
% 0.17/0.44 *
% 0.17/0.44 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T18:51:27
% 0.17/0.44 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-07-09T18:51:27
% 0.17/0.48
% 0.17/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.17/0.52 ; Declaring unordered_pair to be commutative.
% 0.17/0.52
% 0.17/0.52 #||
% 0.17/0.52 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.17/0.52 % SZS output start Refutation
% See solution above
% 0.17/0.52 ||#
% 0.17/0.52
% 0.17/0.52 ; Summary of computation:
% 0.17/0.52 ; 207 formulas have been input or derived (from 40 formulas).
% 0.17/0.52 ; 146 (71%) were retained. Of these,
% 0.17/0.52 ; 14 (10%) were simplified or subsumed later,
% 0.17/0.52 ; 132 (90%) are still being kept.
% 0.17/0.52 ;
% 0.17/0.52 ; Run time in seconds excluding printing time:
% 0.17/0.52 ; 0.022 30% Read assertion file (1 call)
% 0.17/0.52 ; 0.002 3% Assert (121 calls)
% 0.17/0.52 ; 0.017 23% Process new row (172 calls)
% 0.17/0.52 ; 0.003 4% Resolution (78 calls)
% 0.17/0.52 ; 0.000 0% Paramodulation (39 calls)
% 0.17/0.52 ; 0.000 0% Factoring (2 calls)
% 0.17/0.52 ; 0.000 0% Condensing (85 calls)
% 0.17/0.52 ; 0.001 1% Forward subsumption (85 calls)
% 0.17/0.52 ; 0.002 3% Backward subsumption (78 calls)
% 0.17/0.52 ; 0.000 0% Clause clause subsumption (36 calls)
% 0.17/0.52 ; 0.002 3% Forward simplification (171 calls)
% 0.17/0.52 ; 0.000 0% Backward simplification (134 calls)
% 0.17/0.52 ; 0.000 0% Ordering (57 calls)
% 0.17/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.17/0.52 ; 0.000 0% Purity testing (1 call)
% 0.17/0.52 ; 0.024 33% Other
% 0.17/0.52 ; 0.073 Total
% 0.17/0.52 ; 0.076 Real time
% 0.17/0.52 ;
% 0.17/0.52 ; Term-hash-array has 304 terms in all.
% 0.17/0.52 ; Feature-vector-row-index has 78 entries (78 at peak, 78 added, 0 deleted).
% 0.17/0.52 ; Feature-vector-row-index has 337 nodes (337 at peak, 337 added, 0 deleted).
% 0.17/0.52 ; Retrieved 35 possibly forward subsuming rows in 85 calls.
% 0.17/0.52 ; Retrieved 5 possibly backward subsumed rows in 78 calls.
% 0.17/0.52 ; Path-index has 311 entries (311 at peak, 314 added, 3 deleted).
% 0.17/0.52 ; Path-index has 1,027 nodes (1,027 at peak, 1,030 added, 3 deleted).
% 0.17/0.52 ; Trie-index has 311 entries (311 at peak, 314 added, 3 deleted).
% 0.17/0.52 ; Trie-index has 870 nodes (870 at peak, 877 added, 7 deleted).
% 0.17/0.52 ; Retrieved 86 generalization terms in 343 calls.
% 0.17/0.52 ; Retrieved 75 instance terms in 55 calls.
% 0.17/0.52 ; Retrieved 996 unifiable terms in 188 calls.
% 0.17/0.52 ;
% 0.17/0.52 ; The agenda of rows to process has 8 entries:
% 0.17/0.52 ; 1 with value 7 1 with value 11 1 with value 15
% 0.17/0.52 ; 4 with value 8 1 with value 13
% 0.17/0.52 ; The agenda of input rows to give has 74 entries:
% 0.17/0.52 ; 8 with value 11 3 with value 17 1 with value 27
% 0.17/0.52 ; 10 with value 12 4 with value 18 2 with value 30
% 0.17/0.52 ; 10 with value 13 1 with value 19 1 with value 31
% 0.17/0.52 ; 6 with value 14 4 with value 20 1 with value 34
% 0.17/0.52 ; 8 with value 15 3 with value 21 2 with value 35
% 0.17/0.52 ; 5 with value 16 4 with value 22 1 with value 50
% 0.17/0.52 ; The agenda of rows to give has 19 entries:
% 0.17/0.52 ; 1 with value (4 4) 3 with value (4 8) 3 with value (4 10)
% 0.17/0.52 ; 1 with value (4 5) 3 with value (4 9) 2 with value (4 13)
% 0.17/0.52 ; 6 with value (4 7)
% 0.17/0.52 Evaluation took:
% 0.17/0.52 0.076 seconds of real time
% 0.17/0.52 0.068163 seconds of user run time
% 0.17/0.52 0.007777 seconds of system run time
% 0.17/0.52 0 calls to %EVAL
% 0.17/0.52 0 page faults and
% 0.17/0.52 3,537,216 bytes consed.
% 0.17/0.52 :PROOF-FOUND
% 0.17/0.52 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T18:51:27
% 0.17/0.52 :PROOF-FOUND
% 0.17/0.52 *
%------------------------------------------------------------------------------