TSTP Solution File: SET884+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET884+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n022.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 05:13:08 EDT 2022
% Result : Theorem 0.19s 0.51s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 6
% Syntax : Number of clauses : 9 ( 6 unt; 1 nHn; 8 RR)
% Number of literals : 16 ( 7 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 11 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( X != singleton(Y)
| in(Z,X)
| Z != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d1_tarski) ).
cnf(6,axiom,
( X != unordered_pair(Y,Z)
| ~ in(U,X)
| U = Y
| U = Z ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d2_tarski) ).
cnf(11,axiom,
( ~ subset(X,Y)
| ~ in(Z,X)
| in(Z,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',d3_tarski) ).
cnf(17,negated_conjecture,
subset(singleton('SKOLEMAAAU6'),unordered_pair('SKOLEMAAAU7','SKOLEMAAAU8')),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_zfmisc_1) ).
cnf(18,negated_conjecture,
'SKOLEMAAAU6' != 'SKOLEMAAAU7',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_zfmisc_1) ).
cnf(19,negated_conjecture,
'SKOLEMAAAU6' != 'SKOLEMAAAU8',
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t25_zfmisc_1) ).
cnf(24,plain,
in(X,singleton(X)),
inference('HYPERRESOLVE',[status(thm)],[3,theory(equality),theory(equality)]) ).
cnf(26,plain,
~ in('SKOLEMAAAU6',unordered_pair('SKOLEMAAAU7','SKOLEMAAAU8')),
inference('UR-RESOLVE',[status(thm)],[6,19,18,theory(equality)]) ).
cnf(51,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[11,24,17]),26]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SET884+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n022.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 : Mon Jul 11 06:44:10 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 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 2022-07-11T06:44:10
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-07-11T06:44:10
% 0.19/0.49
% 0.19/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.51 ; Declaring unordered_pair to be commutative.
% 0.19/0.51
% 0.19/0.51 #||
% 0.19/0.51 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.51 % SZS output start Refutation
% See solution above
% 0.19/0.51 ||#
% 0.19/0.51
% 0.19/0.51 ; Summary of computation:
% 0.19/0.51 ; 96 formulas have been input or derived (from 26 formulas).
% 0.19/0.51 ; 51 (53%) were retained. Of these,
% 0.19/0.51 ; 51 (100%) are still being kept.
% 0.19/0.51 ;
% 0.19/0.51 ; Run time in seconds:
% 0.19/0.52 ; 0.002 5% Read assertion file (1 call)
% 0.19/0.52 ; 0.001 2% Assert (9 calls)
% 0.19/0.52 ; 0.007 17% Process new row (73 calls)
% 0.19/0.52 ; 0.002 5% Resolution (50 calls)
% 0.19/0.52 ; 0.000 0% Paramodulation (25 calls)
% 0.19/0.52 ; 0.000 0% Factoring (4 calls)
% 0.19/0.52 ; 0.002 5% Condensing (30 calls)
% 0.19/0.52 ; 0.001 2% Forward subsumption (30 calls)
% 0.19/0.52 ; 0.002 5% Backward subsumption (26 calls)
% 0.19/0.52 ; 0.000 0% Clause clause subsumption (20 calls)
% 0.19/0.52 ; 0.000 0% Forward simplification (73 calls)
% 0.19/0.52 ; 0.000 0% Backward simplification (51 calls)
% 0.19/0.52 ; 0.001 2% Ordering (135 calls)
% 0.19/0.52 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.52 ; 0.000 0% Purity testing (1 call)
% 0.19/0.52 ; 0.023 56% Other
% 0.19/0.52 ; 0.041 Total
% 0.19/0.52 ; 0.042 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 117 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 26 entries (26 at peak, 26 added, 0 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 123 nodes (123 at peak, 123 added, 0 deleted).
% 0.19/0.52 ; Retrieved 14 possibly forward subsuming rows in 30 calls.
% 0.19/0.52 ; Retrieved 7 possibly backward subsumed rows in 26 calls.
% 0.19/0.52 ; Path-index has 122 entries (122 at peak, 122 added, 0 deleted).
% 0.19/0.52 ; Path-index has 134 nodes (134 at peak, 134 added, 0 deleted).
% 0.19/0.52 ; Trie-index has 122 entries (122 at peak, 122 added, 0 deleted).
% 0.19/0.52 ; Trie-index has 209 nodes (209 at peak, 209 added, 0 deleted).
% 0.19/0.52 ; Retrieved 26 generalization terms in 96 calls.
% 0.19/0.52 ; Retrieved 31 instance terms in 24 calls.
% 0.19/0.52 ; Retrieved 1,847 unifiable terms in 209 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of rows to process has 17 entries:
% 0.19/0.52 ; 7 with value 9 9 with value 10 1 with value 16
% 0.19/0.52 ; The agenda of rows to give has 25 entries:
% 0.19/0.52 ; 7 with value (4 8) 2 with value (4 28) 1 with value (4 41)
% 0.19/0.52 ; 2 with value (4 9) 1 with value (4 29) 1 with value (4 43)
% 0.19/0.52 ; 4 with value (4 10) 2 with value (4 31) 1 with value (4 54)
% 0.19/0.52 ; 1 with value (4 26) 3 with value (4 39)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.042 seconds of real time
% 0.19/0.52 0.034602 seconds of user run time
% 0.19/0.52 0.007371 seconds of system run time
% 0.19/0.52 0 calls to %EVAL
% 0.19/0.52 0 page faults and
% 0.19/0.52 2,354,064 bytes consed.
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-11T06:44:10
% 0.19/0.52 :PROOF-FOUND
% 0.19/0.52 *
%------------------------------------------------------------------------------