TSTP Solution File: SET901+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET901+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 05:13:14 EDT 2022
% Result : Theorem 0.19s 0.52s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of clauses : 17 ( 4 unt; 7 nHn; 11 RR)
% Number of literals : 40 ( 27 equ; 11 neg)
% Maximal clause size : 5 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 14 ( 7 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
subset(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(5,negated_conjecture,
( ~ subset('SKOLEMAAAW3',unordered_pair('SKOLEMAAAW4','SKOLEMAAAW5'))
| 'SKOLEMAAAW3' != empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_zfmisc_1) ).
cnf(6,negated_conjecture,
( ~ subset('SKOLEMAAAW3',unordered_pair('SKOLEMAAAW4','SKOLEMAAAW5'))
| 'SKOLEMAAAW3' != singleton('SKOLEMAAAW4') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_zfmisc_1) ).
cnf(7,negated_conjecture,
( ~ subset('SKOLEMAAAW3',unordered_pair('SKOLEMAAAW4','SKOLEMAAAW5'))
| 'SKOLEMAAAW3' != singleton('SKOLEMAAAW5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_zfmisc_1) ).
cnf(8,negated_conjecture,
( ~ subset('SKOLEMAAAW3',unordered_pair('SKOLEMAAAW4','SKOLEMAAAW5'))
| 'SKOLEMAAAW3' != unordered_pair('SKOLEMAAAW4','SKOLEMAAAW5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_zfmisc_1) ).
cnf(9,negated_conjecture,
( subset('SKOLEMAAAW3',unordered_pair('SKOLEMAAAW4','SKOLEMAAAW5'))
| 'SKOLEMAAAW3' = empty_set
| 'SKOLEMAAAW3' = singleton('SKOLEMAAAW4')
| 'SKOLEMAAAW3' = singleton('SKOLEMAAAW5')
| 'SKOLEMAAAW3' = unordered_pair('SKOLEMAAAW4','SKOLEMAAAW5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t42_zfmisc_1) ).
cnf(10,axiom,
( ~ subset(X,unordered_pair(Y,Z))
| X = empty_set
| X = singleton(Y)
| X = singleton(Z)
| X = unordered_pair(Y,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l46_zfmisc_1) ).
cnf(11,axiom,
( subset(X,unordered_pair(Y,Z))
| X != empty_set ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l46_zfmisc_1) ).
cnf(12,axiom,
( subset(X,unordered_pair(Y,Z))
| X != singleton(Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',l46_zfmisc_1) ).
cnf(14,plain,
subset(empty_set,unordered_pair(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[11,theory(equality)]) ).
cnf(16,plain,
( 'SKOLEMAAAW3' = empty_set
| 'SKOLEMAAAW3' = singleton('SKOLEMAAAW4')
| 'SKOLEMAAAW3' = singleton('SKOLEMAAAW5')
| 'SKOLEMAAAW3' = unordered_pair('SKOLEMAAAW4','SKOLEMAAAW5') ),
inference('HYPERRESOLVE',[status(thm)],[10,9]) ).
cnf(21,plain,
( 'SKOLEMAAAW3' = empty_set
| 'SKOLEMAAAW3' = singleton('SKOLEMAAAW4')
| 'SKOLEMAAAW3' = singleton('SKOLEMAAAW5') ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[8,16,theory(equality)]),1,theory(equality)]) ).
cnf(22,plain,
( 'SKOLEMAAAW3' = empty_set
| 'SKOLEMAAAW3' = singleton('SKOLEMAAAW4')
| subset('SKOLEMAAAW3',unordered_pair('SKOLEMAAAW5',X)) ),
inference('HYPERRESOLVE',[status(thm)],[12,21]) ).
cnf(25,plain,
( 'SKOLEMAAAW3' = empty_set
| 'SKOLEMAAAW3' = singleton('SKOLEMAAAW4') ),
inference('HYPERRESOLVE',[status(thm)],[7,22,21]) ).
cnf(26,plain,
( 'SKOLEMAAAW3' = empty_set
| subset('SKOLEMAAAW3',unordered_pair('SKOLEMAAAW4',X)) ),
inference('HYPERRESOLVE',[status(thm)],[12,25]) ).
cnf(29,plain,
'SKOLEMAAAW3' = empty_set,
inference('HYPERRESOLVE',[status(thm)],[6,26,25]) ).
cnf(30,plain,
$false,
inference('REWRITE',[status(thm)],[5,14,29,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : SET901+1 : TPTP v8.1.0. Released v3.2.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n017.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Sun Jul 10 13:15:03 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.48 *
% 0.19/0.48 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.49 (USE-FACTORING :POS)
% 0.19/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.49 *
% 0.19/0.49 "."
% 0.19/0.49 *
% 0.19/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T13:15:03
% 0.19/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-07-10T13:15:03
% 0.19/0.50
% 0.19/0.50 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.52 ; Declaring unordered_pair to be commutative.
% 0.19/0.52
% 0.19/0.52 #||
% 0.19/0.52 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.52 % SZS output start Refutation
% See solution above
% 0.19/0.52 ||#
% 0.19/0.52
% 0.19/0.52 ; Summary of computation:
% 0.19/0.52 ; 64 formulas have been input or derived (from 21 formulas).
% 0.19/0.52 ; 30 (47%) were retained. Of these,
% 0.19/0.52 ; 18 (60%) were simplified or subsumed later,
% 0.19/0.52 ; 12 (40%) are still being kept.
% 0.19/0.52 ;
% 0.19/0.52 ; Run time in seconds excluding printing time:
% 0.19/0.52 ; 0.002 5% Read assertion file (1 call)
% 0.19/0.52 ; 0.001 3% Assert (7 calls)
% 0.19/0.52 ; 0.005 14% Process new row (44 calls)
% 0.19/0.52 ; 0.001 3% Resolution (40 calls)
% 0.19/0.52 ; 0.001 3% Paramodulation (20 calls)
% 0.19/0.52 ; 0.000 0% Factoring (6 calls)
% 0.19/0.52 ; 0.001 3% Condensing (25 calls)
% 0.19/0.52 ; 0.000 0% Forward subsumption (25 calls)
% 0.19/0.52 ; 0.002 5% Backward subsumption (22 calls)
% 0.19/0.52 ; 0.000 0% Clause clause subsumption (13 calls)
% 0.19/0.52 ; 0.000 0% Forward simplification (41 calls)
% 0.19/0.52 ; 0.001 3% Backward simplification (30 calls)
% 0.19/0.52 ; 0.000 0% Ordering (115 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 62% Other
% 0.19/0.52 ; 0.037 Total
% 0.19/0.52 ; 0.038 Real time
% 0.19/0.52 ;
% 0.19/0.52 ; Term-hash-array has 36 terms in all.
% 0.19/0.52 ; Feature-vector-row-index has 4 entries (13 at peak, 22 added, 18 deleted).
% 0.19/0.52 ; Feature-vector-row-index has 16 nodes (93 at peak, 191 added, 175 deleted).
% 0.19/0.52 ; Retrieved 3 possibly forward subsuming rows in 25 calls.
% 0.19/0.52 ; Retrieved 10 possibly backward subsumed rows in 22 calls.
% 0.19/0.52 ; Path-index has 23 entries (35 at peak, 45 added, 22 deleted).
% 0.19/0.52 ; Path-index has 33 nodes (47 at peak, 49 added, 16 deleted).
% 0.19/0.52 ; Trie-index has 23 entries (35 at peak, 45 added, 22 deleted).
% 0.19/0.52 ; Trie-index has 41 nodes (62 at peak, 74 added, 33 deleted).
% 0.19/0.52 ; Retrieved 27 generalization terms in 29 calls.
% 0.19/0.52 ; Retrieved 7 instance terms in 7 calls.
% 0.19/0.52 ; Retrieved 302 unifiable terms in 132 calls.
% 0.19/0.52 ;
% 0.19/0.52 ; The agenda of backward simplifiable rows to process has 7 entries:
% 0.19/0.52 ; 7 with value 0
% 0.19/0.52 ; The agenda of rows to process has 1 entry:
% 0.19/0.52 ; 1 with value 29
% 0.19/0.52 ; The agenda of rows to give has 1 entry:
% 0.19/0.52 ; 1 with value (4 10)
% 0.19/0.52 Evaluation took:
% 0.19/0.52 0.038 seconds of real time
% 0.19/0.52 0.031506 seconds of user run time
% 0.19/0.53 0.007289 seconds of system run time
% 0.19/0.53 0 calls to %EVAL
% 0.19/0.53 0 page faults and
% 0.19/0.53 2,943,736 bytes consed.
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T13:15:03
% 0.19/0.53 :PROOF-FOUND
% 0.19/0.53 *
%------------------------------------------------------------------------------