TSTP Solution File: SET912+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET912+1 : TPTP v8.1.0. Released v3.2.0.
% 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 05:13:20 EDT 2022
% Result : Theorem 0.19s 0.49s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 7 ( 5 unt; 0 nHn; 7 RR)
% Number of literals : 10 ( 2 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 3 ( 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 : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(6,axiom,
( ~ subset(X,Y)
| set_intersection2(X,Y) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t28_xboole_1) ).
cnf(8,axiom,
( subset(unordered_pair(X,Y),Z)
| ~ in(X,Z)
| ~ in(Y,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t38_zfmisc_1) ).
cnf(9,negated_conjecture,
in('SKOLEMAAAV3','SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_zfmisc_1) ).
cnf(10,negated_conjecture,
in('SKOLEMAAAV5','SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_zfmisc_1) ).
cnf(11,negated_conjecture,
set_intersection2(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV5'),'SKOLEMAAAV4') != unordered_pair('SKOLEMAAAV3','SKOLEMAAAV5'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',t53_zfmisc_1) ).
cnf(15,plain,
~ subset(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV5'),'SKOLEMAAAV4'),
inference('UR-RESOLVE',[status(thm)],[6,11]) ).
cnf(17,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[8,9,10]),15]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SET912+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n015.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 : Sun Jul 10 05:12:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 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 2022-07-10T05:12:23
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-10T05:12:23
% 0.19/0.48
% 0.19/0.48 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.19/0.48 ; Recognized commutativity assertion (= (|set_intersection2| ?X ?Y) (|set_intersection2| ?Y ?X)).
% 0.19/0.48 ; Declaring unordered_pair to be commutative.
% 0.19/0.49 ; Declaring set_intersection2 to be commutative.
% 0.19/0.49
% 0.19/0.49 #||
% 0.19/0.49 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.49 % 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 ; 32 formulas have been input or derived (from 12 formulas).
% 0.19/0.50 ; 17 (53%) were retained. Of these,
% 0.19/0.50 ; 17 (100%) are still being kept.
% 0.19/0.50 ;
% 0.19/0.50 ; Run time in seconds excluding printing time:
% 0.19/0.50 ; 0.002 7% Read assertion file (1 call)
% 0.19/0.50 ; 0.001 4% Assert (10 calls)
% 0.19/0.50 ; 0.000 0% Process new row (24 calls)
% 0.19/0.50 ; 0.001 4% Resolution (22 calls)
% 0.19/0.50 ; 0.001 4% Paramodulation (11 calls)
% 0.19/0.50 ; 0.000 0% Condensing (5 calls)
% 0.19/0.50 ; 0.000 0% Forward subsumption (5 calls)
% 0.19/0.50 ; 0.000 0% Backward subsumption (4 calls)
% 0.19/0.50 ; 0.000 0% Clause clause subsumption (2 calls)
% 0.19/0.50 ; 0.001 4% Forward simplification (24 calls)
% 0.19/0.50 ; 0.000 0% Backward simplification (17 calls)
% 0.19/0.50 ; 0.000 0% Ordering (7 calls)
% 0.19/0.50 ; 0.001 4% Sortal reasoning (32 calls)
% 0.19/0.50 ; 0.000 0% Purity testing (1 call)
% 0.19/0.50 ; 0.021 75% Other
% 0.19/0.50 ; 0.028 Total
% 0.19/0.50 ; 0.030 Real time
% 0.19/0.50 ;
% 0.19/0.50 ; Term-hash-array has 25 terms in all.
% 0.19/0.50 ; Feature-vector-row-index has 4 entries (4 at peak, 4 added, 0 deleted).
% 0.19/0.50 ; Feature-vector-row-index has 10 nodes (10 at peak, 10 added, 0 deleted).
% 0.19/0.50 ; Retrieved 2 possibly forward subsuming rows in 5 calls.
% 0.19/0.50 ; Retrieved 0 possibly backward subsumed rows in 4 calls.
% 0.19/0.50 ; Path-index has 30 entries (30 at peak, 30 added, 0 deleted).
% 0.19/0.50 ; Path-index has 53 nodes (53 at peak, 53 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 30 entries (30 at peak, 30 added, 0 deleted).
% 0.19/0.50 ; Trie-index has 59 nodes (59 at peak, 59 added, 0 deleted).
% 0.19/0.50 ; Retrieved 12 generalization terms in 18 calls.
% 0.19/0.50 ; Retrieved 13 instance terms in 12 calls.
% 0.19/0.50 ; Retrieved 102 unifiable terms in 57 calls.
% 0.19/0.50 ;
% 0.19/0.50 ; The agenda of rows to process has 4 entries:
% 0.19/0.50 ; 4 with value 8
% 0.19/0.50 ; The agenda of rows to give has 5 entries:
% 0.19/0.50 ; 2 with value (4 5) 3 with value (4 8)
% 0.19/0.50 Evaluation took:
% 0.19/0.50 0.03 seconds of real time
% 0.19/0.50 0.019085 seconds of user run time
% 0.19/0.50 0.011039 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 1,731,768 bytes consed.
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-10T05:12:23
% 0.19/0.50 :PROOF-FOUND
% 0.19/0.50 *
%------------------------------------------------------------------------------