TSTP Solution File: SET928+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET928+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 05:13:30 EDT 2022
% Result : Theorem 0.61s 0.79s
% Output : Refutation 0.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 7
% Syntax : Number of clauses : 14 ( 4 unt; 5 nHn; 12 RR)
% Number of literals : 27 ( 8 equ; 7 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 : 11 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ disjoint(unordered_pair(X,Y),Z)
| ~ in(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t55_zfmisc_1) ).
cnf(5,axiom,
( in(X,Y)
| in(Z,Y)
| disjoint(unordered_pair(X,Z),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t57_zfmisc_1) ).
cnf(6,negated_conjecture,
( set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') != unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4')
| in('SKOLEMAAAV3','SKOLEMAAAV5')
| in('SKOLEMAAAV4','SKOLEMAAAV5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t72_zfmisc_1) ).
cnf(7,negated_conjecture,
( set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') = unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4')
| ~ in('SKOLEMAAAV3','SKOLEMAAAV5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t72_zfmisc_1) ).
cnf(8,negated_conjecture,
( set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') = unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4')
| ~ in('SKOLEMAAAV4','SKOLEMAAAV5') ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t72_zfmisc_1) ).
cnf(9,axiom,
( ~ disjoint(X,Y)
| set_difference(X,Y) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_xboole_1) ).
cnf(10,axiom,
( disjoint(X,Y)
| set_difference(X,Y) != X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t83_xboole_1) ).
cnf(16,plain,
( in(X,'SKOLEMAAAV5')
| disjoint(unordered_pair('SKOLEMAAAV3',X),'SKOLEMAAAV5')
| set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') = unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[7,5]) ).
cnf(253,plain,
( disjoint(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5')
| set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') = unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4') ),
inference('HYPERRESOLVE',[status(thm)],[8,16]) ).
cnf(263,plain,
set_difference(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5') = unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[9,253]) ).
cnf(264,plain,
( in('SKOLEMAAAV3','SKOLEMAAAV5')
| in('SKOLEMAAAV4','SKOLEMAAAV5') ),
inference('REWRITE',[status(thm)],[6,263,theory(equality)]) ).
cnf(295,plain,
disjoint(unordered_pair('SKOLEMAAAV3','SKOLEMAAAV4'),'SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[10,263]) ).
cnf(296,plain,
in('SKOLEMAAAV3','SKOLEMAAAV5'),
inference('HYPERRESOLVE',[status(thm)],[4,295,264]) ).
cnf(297,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[4,295]),296]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11 % Problem : SET928+1 : TPTP v8.1.0. Released v3.2.0.
% 0.11/0.12 % Command : run-snark %s %d
% 0.11/0.33 % Computer : n028.cluster.edu
% 0.11/0.33 % Model : x86_64 x86_64
% 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.33 % Memory : 8042.1875MB
% 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.33 % CPULimit : 300
% 0.11/0.33 % WCLimit : 600
% 0.11/0.33 % DateTime : Sun Jul 10 18:55:42 EDT 2022
% 0.11/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T18:55:43
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-10T18:55:43
% 0.18/0.47
% 0.18/0.47 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.18/0.47 ; Recognized commutativity assertion (OR (NOT (|disjoint| ?X ?Y)) (|disjoint| ?Y ?X)).
% 0.18/0.47 ; Declaring unordered_pair to be commutative.
% 0.61/0.79 ; Declaring disjoint to be commutative.
% 0.61/0.79
% 0.61/0.79 #||
% 0.61/0.79 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.61/0.79 % SZS output start Refutation
% See solution above
% 0.61/0.79 ||#
% 0.61/0.79
% 0.61/0.79 ; Summary of computation:
% 0.61/0.79 ; 1155 formulas have been input or derived (from 54 formulas).
% 0.61/0.79 ; 297 (26%) were retained. Of these,
% 0.61/0.79 ; 65 (22%) were simplified or subsumed later,
% 0.61/0.79 ; 232 (78%) are still being kept.
% 0.61/0.79 ;
% 0.61/0.79 ; Run time in seconds excluding printing time:
% 0.61/0.79 ; 0.002 1% Read assertion file (1 call)
% 0.61/0.79 ; 0.001 0% Assert (9 calls)
% 0.61/0.79 ; 0.033 10% Process new row (1,058 calls)
% 0.61/0.79 ; 0.027 8% Resolution (106 calls)
% 0.61/0.79 ; 0.002 1% Paramodulation (53 calls)
% 0.61/0.79 ; 0.001 0% Factoring (31 calls)
% 0.61/0.79 ; 0.039 12% Condensing (828 calls)
% 0.61/0.79 ; 0.035 11% Forward subsumption (828 calls)
% 0.61/0.79 ; 0.013 4% Backward subsumption (270 calls)
% 0.61/0.79 ; 0.102 31% Clause clause subsumption (7,440 calls)
% 0.61/0.79 ; 0.034 10% Forward simplification (1,039 calls)
% 0.61/0.79 ; 0.005 2% Backward simplification (297 calls)
% 0.61/0.79 ; 0.004 1% Ordering (1,728 calls)
% 0.61/0.79 ; 0.000 0% Sortal reasoning (32 calls)
% 0.61/0.79 ; 0.000 0% Purity testing (1 call)
% 0.61/0.79 ; 0.031 9% Other
% 0.61/0.79 ; 0.329 Total
% 0.61/0.79 ; 0.330 Real time
% 0.61/0.79 ;
% 0.61/0.79 ; Term-hash-array has 426 terms in all.
% 0.61/0.79 ; Feature-vector-row-index has 211 entries (224 at peak, 270 added, 59 deleted).
% 0.61/0.79 ; Feature-vector-row-index has 489 nodes (674 at peak, 964 added, 475 deleted).
% 0.61/0.79 ; Retrieved 13,363 possibly forward subsuming rows in 828 calls.
% 0.61/0.79 ; Retrieved 1,609 possibly backward subsumed rows in 270 calls.
% 0.61/0.79 ; Path-index has 342 entries (369 at peak, 448 added, 106 deleted).
% 0.61/0.79 ; Path-index has 114 nodes (123 at peak, 143 added, 29 deleted).
% 0.61/0.79 ; Trie-index has 342 entries (369 at peak, 448 added, 106 deleted).
% 0.61/0.79 ; Trie-index has 507 nodes (572 at peak, 715 added, 208 deleted).
% 0.61/0.79 ; Retrieved 2,810 generalization terms in 2,625 calls.
% 0.61/0.79 ; Retrieved 74 instance terms in 26 calls.
% 0.61/0.79 ; Retrieved 2,984 unifiable terms in 521 calls.
% 0.61/0.79 ;
% 0.61/0.79 ; The agenda of rows to process has 21 entries:
% 0.61/0.79 ; 1 with value 9 4 with value 16 4 with value 19
% 0.61/0.79 ; 6 with value 12 1 with value 17 4 with value 23
% 0.61/0.79 ; 1 with value 15
% 0.61/0.79 ; The agenda of rows to give has 192 entries:
% 0.61/0.79 ; 1 with value (4 9) 14 with value (4 29) 2 with value (4 42)
% 0.61/0.79 ; 1 with value (4 16) 9 with value (4 30) 8 with value (4 43)
% 0.61/0.79 ; 1 with value (4 17) 12 with value (4 31) 3 with value (4 44)
% 0.61/0.79 ; 2 with value (4 18) 5 with value (4 32) 6 with value (4 45)
% 0.61/0.79 ; 2 with value (4 20) 12 with value (4 33) 6 with value (4 47)
% 0.61/0.79 ; 1 with value (4 21) 8 with value (4 34) 3 with value (4 48)
% 0.61/0.79 ; 4 with value (4 22) 7 with value (4 35) 2 with value (4 49)
% 0.61/0.79 ; 2 with value (4 23) 6 with value (4 36) 2 with value (4 50)
% 0.61/0.79 ; 5 with value (4 24) 8 with value (4 37) 3 with value (4 51)
% 0.61/0.79 ; 7 with value (4 25) 9 with value (4 38) 2 with value (4 52)
% 0.61/0.79 ; 5 with value (4 26) 5 with value (4 39) 1 with value (4 54)
% 0.61/0.79 ; 11 with value (4 27) 5 with value (4 40) 2 with value (4 55)
% 0.61/0.79 ; 5 with value (4 28) 5 with value (4 41)
% 0.61/0.79 Evaluation took:
% 0.61/0.79 0.331 seconds of real time
% 0.61/0.79 0.295176 seconds of user run time
% 0.61/0.79 0.03615 seconds of system run time
% 0.61/0.79 [Run times include 0.006 seconds GC run time.]
% 0.61/0.79 0 calls to %EVAL
% 0.61/0.79 0 page faults and
% 0.61/0.79 24,894,256 bytes consed.
% 0.61/0.79 :PROOF-FOUND
% 0.61/0.79 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-10T18:55:43
% 0.61/0.79 :PROOF-FOUND
% 0.61/0.79 *
%------------------------------------------------------------------------------