TSTP Solution File: SET935+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SET935+1 : TPTP v8.1.0. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 05:13:33 EDT 2022
% Result : Theorem 1.66s 1.88s
% Output : Refutation 1.66s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 10
% Syntax : Number of clauses : 22 ( 11 unt; 6 nHn; 18 RR)
% Number of literals : 39 ( 12 equ; 15 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 2 con; 0-2 aty)
% Number of variables : 25 ( 4 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(3,axiom,
( X = Y
| ~ subset(X,Y)
| ~ subset(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
cnf(4,axiom,
( X != powerset(Y)
| ~ in(Z,X)
| subset(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
cnf(5,axiom,
( X != powerset(Y)
| in(Z,X)
| ~ subset(Z,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_zfmisc_1) ).
cnf(8,axiom,
( X != set_union2(Y,Z)
| ~ in(U,X)
| in(U,Y)
| in(U,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(9,axiom,
( X != set_union2(Y,Z)
| in(U,X)
| ~ in(U,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d2_xboole_0) ).
cnf(14,axiom,
( inclusion_comparable(X,Y)
| ~ subset(X,Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d9_xboole_0) ).
cnf(19,axiom,
subset(X,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',reflexivity_r1_tarski) ).
cnf(21,axiom,
subset(X,set_union2(X,Y)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t7_xboole_1) ).
cnf(22,negated_conjecture,
set_union2(powerset('SKOLEMAAAV5'),powerset('SKOLEMAAAV6')) = powerset(set_union2('SKOLEMAAAV5','SKOLEMAAAV6')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t82_zfmisc_1) ).
cnf(23,negated_conjecture,
~ inclusion_comparable('SKOLEMAAAV5','SKOLEMAAAV6'),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t82_zfmisc_1) ).
cnf(25,plain,
~ subset('SKOLEMAAAV6','SKOLEMAAAV5'),
inference('UR-RESOLVE',[status(thm)],[14,23]) ).
cnf(26,plain,
inclusion_comparable(X,set_union2(X,Y)),
inference('HYPERRESOLVE',[status(thm)],[14,21]) ).
cnf(32,plain,
in(X,powerset(X)),
inference('HYPERRESOLVE',[status(thm)],[5,19,theory(equality)]) ).
cnf(63,plain,
~ in('SKOLEMAAAV6',powerset('SKOLEMAAAV5')),
inference('UR-RESOLVE',[status(thm)],[4,25,theory(equality)]) ).
cnf(68,plain,
( in(set_union2('SKOLEMAAAV5','SKOLEMAAAV6'),powerset('SKOLEMAAAV5'))
| in(set_union2('SKOLEMAAAV5','SKOLEMAAAV6'),powerset('SKOLEMAAAV6')) ),
inference('HYPERRESOLVE',[status(thm)],[8,32,22]) ).
cnf(74,plain,
powerset('SKOLEMAAAV5') != set_union2(powerset('SKOLEMAAAV6'),X),
inference('UR-RESOLVE',[status(thm)],[9,63,32]) ).
cnf(534,plain,
( in(set_union2('SKOLEMAAAV5','SKOLEMAAAV6'),powerset('SKOLEMAAAV5'))
| subset(set_union2('SKOLEMAAAV5','SKOLEMAAAV6'),'SKOLEMAAAV6') ),
inference('HYPERRESOLVE',[status(thm)],[4,68,theory(equality)]) ).
cnf(726,plain,
( in(set_union2('SKOLEMAAAV5','SKOLEMAAAV6'),powerset('SKOLEMAAAV5'))
| set_union2('SKOLEMAAAV5','SKOLEMAAAV6') = 'SKOLEMAAAV6' ),
inference('HYPERRESOLVE',[status(thm)],[3,534,21]) ).
cnf(1239,plain,
( set_union2('SKOLEMAAAV5','SKOLEMAAAV6') = 'SKOLEMAAAV6'
| subset(set_union2('SKOLEMAAAV5','SKOLEMAAAV6'),'SKOLEMAAAV5') ),
inference('HYPERRESOLVE',[status(thm)],[4,726,theory(equality)]) ).
cnf(1241,plain,
( set_union2('SKOLEMAAAV5','SKOLEMAAAV6') = 'SKOLEMAAAV6'
| set_union2('SKOLEMAAAV5','SKOLEMAAAV6') = 'SKOLEMAAAV5' ),
inference('HYPERRESOLVE',[status(thm)],[3,1239,21]) ).
cnf(2467,plain,
set_union2('SKOLEMAAAV5','SKOLEMAAAV6') = 'SKOLEMAAAV5',
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[26,1241,theory(equality)]),23]) ).
cnf(2468,plain,
$false,
inference('REWRITE',[status(thm)],[22,74,2467,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : SET935+1 : TPTP v8.1.0. Released v3.2.0.
% 0.13/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n009.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Sat Jul 9 23:22:07 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T23:22:07
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-09T23:22:07
% 0.21/0.50
% 0.21/0.51 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.21/0.51 ; Recognized commutativity assertion (OR (NOT (|inclusion_comparable| ?X ?Y)) (|inclusion_comparable| ?Y ?X)).
% 0.21/0.51 ; Declaring set_union2 to be commutative.
% 1.66/1.88 ; Declaring inclusion_comparable to be commutative.
% 1.66/1.88
% 1.66/1.88 #||
% 1.66/1.88 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.66/1.88 % SZS output start Refutation
% See solution above
% 1.66/1.89 ||#
% 1.66/1.89
% 1.66/1.89 ; Summary of computation:
% 1.66/1.89 ; 18971 formulas have been input or derived (from 218 formulas).
% 1.66/1.89 ; 2468 (13%) were retained. Of these,
% 1.66/1.89 ; 976 (40%) were simplified or subsumed later,
% 1.66/1.89 ; 1492 (60%) are still being kept.
% 1.66/1.89 ;
% 1.66/1.89 ; Run time in seconds excluding printing time:
% 1.66/1.89 ; 0.004 0% Read assertion file (1 call)
% 1.66/1.89 ; 0.001 0% Assert (16 calls)
% 1.66/1.89 ; 0.206 15% Process new row (16,323 calls)
% 1.66/1.89 ; 0.328 24% Resolution (434 calls)
% 1.66/1.89 ; 0.032 2% Paramodulation (217 calls)
% 1.66/1.89 ; 0.000 0% Factoring (11 calls)
% 1.66/1.89 ; 0.010 1% Condensing (430 calls)
% 1.66/1.89 ; 0.020 1% Forward subsumption (430 calls)
% 1.66/1.89 ; 0.002 0% Backward subsumption (69 calls)
% 1.66/1.89 ; 0.010 1% Clause clause subsumption (1,552 calls)
% 1.66/1.89 ; 0.582 42% Forward simplification (16,323 calls)
% 1.66/1.89 ; 0.121 9% Backward simplification (2,468 calls)
% 1.66/1.89 ; 0.007 1% Ordering (4,597 calls)
% 1.66/1.89 ; 0.000 0% Sortal reasoning (32 calls)
% 1.66/1.89 ; 0.000 0% Purity testing (1 call)
% 1.66/1.89 ; 0.071 5% Other
% 1.66/1.89 ; 1.394 Total
% 1.66/1.89 ; 1.396 Real time
% 1.66/1.89 ;
% 1.66/1.89 ; Term-hash-array has 3,881 terms in all.
% 1.66/1.89 ; Feature-vector-row-index has 38 entries (69 at peak, 69 added, 31 deleted).
% 1.66/1.89 ; Feature-vector-row-index has 103 nodes (354 at peak, 354 added, 251 deleted).
% 1.66/1.89 ; Retrieved 3,091 possibly forward subsuming rows in 430 calls.
% 1.66/1.89 ; Retrieved 140 possibly backward subsumed rows in 69 calls.
% 1.66/1.89 ; Path-index has 2,579 entries (3,675 at peak, 3,885 added, 1,306 deleted).
% 1.66/1.89 ; Path-index has 2,272 nodes (2,584 at peak, 2,594 added, 322 deleted).
% 1.66/1.89 ; Trie-index has 2,579 entries (3,675 at peak, 3,885 added, 1,306 deleted).
% 1.66/1.89 ; Trie-index has 14,684 nodes (19,987 at peak, 21,134 added, 6,450 deleted).
% 1.66/1.89 ; Retrieved 95,685 generalization terms in 66,921 calls.
% 1.66/1.89 ; Retrieved 6,408 instance terms in 2,398 calls.
% 1.66/1.89 ; Retrieved 245,371 unifiable terms in 12,062 calls.
% 1.66/1.89 ;
% 1.66/1.89 ; The agenda of backward simplifiable rows to process has 789 entries:
% 1.66/1.89 ; 789 with value 0
% 1.66/1.89 ; The agenda of rows to process has 156 entries:
% 1.66/1.89 ; 3 with value 18 33 with value 26 4 with value 37
% 1.66/1.89 ; 5 with value 20 15 with value 27 6 with value 45
% 1.66/1.89 ; 12 with value 21 1 with value 28 3 with value 47
% 1.66/1.89 ; 6 with value 22 12 with value 29 6 with value 53
% 1.66/1.89 ; 12 with value 23 3 with value 30 1 with value 56
% 1.66/1.89 ; 8 with value 24 2 with value 31 2 with value 57
% 1.66/1.89 ; 20 with value 25 2 with value 35
% 1.66/1.89 ; The agenda of rows to give has 1326 entries:
% 1.66/1.89 ; 1 with value (4 14) 109 with value (4 28) 64 with value (4 37)
% 1.66/1.89 ; 8 with value (4 20) 94 with value (4 29) 34 with value (4 38)
% 1.66/1.89 ; 26 with value (4 21) 51 with value (4 30) 23 with value (4 39)
% 1.66/1.89 ; 38 with value (4 22) 124 with value (4 31) 16 with value (4 40)
% 1.66/1.89 ; 66 with value (4 23) 101 with value (4 32) 4 with value (4 41)
% 1.66/1.89 ; 61 with value (4 24) 54 with value (4 33) 4 with value (4 42)
% 1.66/1.89 ; 70 with value (4 25) 103 with value (4 34) 4 with value (4 43)
% 1.66/1.89 ; 79 with value (4 26) 98 with value (4 35) 1 with value (4 54)
% 1.66/1.89 ; 50 with value (4 27) 41 with value (4 36) 2 with value (4 55)
% 1.66/1.89 Evaluation took:
% 1.66/1.89 1.396 seconds of real time
% 1.66/1.89 1.301075 seconds of user run time
% 1.66/1.89 0.094802 seconds of system run time
% 1.66/1.89 [Run times include 0.103 seconds GC run time.]
% 1.66/1.89 0 calls to %EVAL
% 1.66/1.89 0 page faults and
% 1.66/1.89 119,154,256 bytes consed.
% 1.66/1.89 :PROOF-FOUND
% 1.66/1.89 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-09T23:22:08
% 1.66/1.89 :PROOF-FOUND
% 1.66/1.89 *
%------------------------------------------------------------------------------