TSTP Solution File: SET958+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET958+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 05:13:41 EDT 2022
% Result : Theorem 0.19s 0.50s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of clauses : 9 ( 5 unt; 1 nHn; 8 RR)
% Number of literals : 13 ( 2 equ; 5 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( subset(X,Y)
| in('SKOLEMAAAW1'(X,Y),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(4,axiom,
( subset(X,Y)
| ~ in('SKOLEMAAAW1'(X,Y),Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(10,negated_conjecture,
( ~ in(X,'SKOLEMAAAW4')
| X = ordered_pair('SKOLEMAAAW6'(X),'SKOLEMAAAW7'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t111_zfmisc_1) ).
cnf(11,negated_conjecture,
( ~ in(ordered_pair(X,Y),'SKOLEMAAAW4')
| in(ordered_pair(X,Y),'SKOLEMAAAW5') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t111_zfmisc_1) ).
cnf(12,negated_conjecture,
~ subset('SKOLEMAAAW4','SKOLEMAAAW5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t111_zfmisc_1) ).
cnf(13,plain,
in('SKOLEMAAAW1'('SKOLEMAAAW4','SKOLEMAAAW5'),'SKOLEMAAAW4'),
inference('HYPERRESOLVE',[status(thm)],[12,3]) ).
cnf(14,plain,
~ in('SKOLEMAAAW1'('SKOLEMAAAW4','SKOLEMAAAW5'),'SKOLEMAAAW5'),
inference('UR-RESOLVE',[status(thm)],[4,12]) ).
cnf(19,plain,
'SKOLEMAAAW1'('SKOLEMAAAW4','SKOLEMAAAW5') = ordered_pair('SKOLEMAAAW6'('SKOLEMAAAW1'('SKOLEMAAAW4','SKOLEMAAAW5')),'SKOLEMAAAW7'('SKOLEMAAAW1'('SKOLEMAAAW4','SKOLEMAAAW5'))),
inference('HYPERRESOLVE',[status(thm)],[10,13]) ).
cnf(25,plain,
$false,
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[11,19,theory(equality)]),14,13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SET958+1 : TPTP v8.1.0. Released v3.2.0.
% 0.06/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n023.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 08:27:55 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T08:27:55
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-11T08:27:55
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.50 ; Declaring unordered_pair to be commutative.
% 0.19/0.50
% 0.19/0.50 #||
% 0.19/0.50 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.50 % SZS output start Refutation
% See solution above
% 0.19/0.50 ||#
% 0.19/0.50
% 0.19/0.50 ; Summary of computation:
% 0.19/0.50 ; 45 formulas have been input or derived (from 19 formulas).
% 0.19/0.50 ; 25 (56%) were retained. Of these,
% 0.19/0.50 ; 25 (100%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.003 9% Read assertion file (1 call)
% 0.19/0.50 ; 0.000 0% Assert (9 calls)
% 0.19/0.50 ; 0.003 9% Process new row (40 calls)
% 0.19/0.50 ; 0.000 0% Resolution (36 calls)
% 0.19/0.50 ; 0.002 6% Paramodulation (18 calls)
% 0.19/0.50 ; 0.000 0% Factoring (2 calls)
% 0.19/0.50 ; 0.000 0% Condensing (12 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (12 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (10 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (5 calls)
% 0.19/0.50 ; 0.001 3% Forward simplification (40 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (25 calls)
% 0.19/0.50 ; 0.000 0% Ordering (39 calls)
% 0.19/0.50 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.024 73% Other
% 0.19/0.50 ; 0.033 Total
% 0.19/0.50 ; 0.034 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 57 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 10 entries (10 at peak, 10 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 58 nodes (58 at peak, 58 added, 0 deleted).
% 0.19/0.50 ; Retrieved 4 possibly forward subsuming rows in 12 calls.
% 0.19/0.50 ; Retrieved 1 possibly backward subsumed row in 10 calls.
% 0.19/0.50 ; Path-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 0.19/0.50 ; Path-index has 211 nodes (211 at peak, 211 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 61 entries (61 at peak, 61 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 213 nodes (213 at peak, 213 added, 0 deleted).
% 0.19/0.50 ; Retrieved 14 generalization terms in 49 calls.
% 0.19/0.50 ; Retrieved 15 instance terms in 14 calls.
% 0.19/0.50 ; Retrieved 188 unifiable terms in 117 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 1 entry:
% 0.19/0.50 ; 1 with value 35
% 0.19/0.50 ; The agenda of rows to give has 6 entries:
% 0.19/0.50 ; 1 with value (4 9) 2 with value (4 24) 1 with value (4 27)
% 0.19/0.50 ; 1 with value (4 20) 1 with value (4 25)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.035 seconds of real time
% 0.19/0.50 0.027305 seconds of user run time
% 0.19/0.50 0.006976 seconds of system run time
% 0.19/0.50 0 calls to %EVAL
% 0.19/0.50 0 page faults and
% 0.19/0.50 2,128,720 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T08:27:55
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------