TSTP Solution File: NUM449+6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM449+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 : Mon Jul 18 14:10:37 EDT 2022
% Result : Theorem 3.76s 3.97s
% Output : Refutation 3.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 12
% Syntax : Number of clauses : 25 ( 15 unt; 3 nHn; 25 RR)
% Number of literals : 44 ( 9 equ; 21 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
cnf(104,axiom,
( ~ aSet0(X)
| ~ isFinite0(X)
| aElementOf0('SKOLEMAAAV15'(X),X)
| isClosed0(sbsmnsldt0(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnionSClosed) ).
cnf(105,axiom,
( ~ aSet0(X)
| ~ isFinite0(X)
| ~ aSubsetOf0('SKOLEMAAAV15'(X),cS1395)
| ~ isClosed0('SKOLEMAAAV15'(X))
| isClosed0(sbsmnsldt0(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mUnionSClosed) ).
cnf(106,axiom,
( ~ aInteger0(X)
| ~ aInteger0(Y)
| Y = sz00
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X,Y),cS1395) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArSeqClosed) ).
cnf(107,axiom,
( ~ aInteger0(X)
| ~ aInteger0(Y)
| Y = sz00
| isClosed0(szAzrzSzezqlpdtcmdtrp0(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mArSeqClosed) ).
cnf(108,hypothesis,
aSet0(xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2046) ).
cnf(109,hypothesis,
( ~ aElementOf0(X,xS)
| aInteger0('SKOLEMAAAV16'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2046) ).
cnf(110,hypothesis,
( ~ aElementOf0(X,xS)
| 'SKOLEMAAAV16'(X) != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2046) ).
cnf(121,hypothesis,
( ~ aElementOf0(X,xS)
| szAzrzSzezqlpdtcmdtrp0(sz00,'SKOLEMAAAV16'(X)) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2046) ).
cnf(132,hypothesis,
xS = cS2043,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2046) ).
cnf(159,hypothesis,
isFinite0(xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2117) ).
cnf(160,plain,
isFinite0(cS2043),
inference('REWRITE',[status(thm)],[159,132,theory(equality)]) ).
cnf(191,negated_conjecture,
~ isClosed0(sbsmnsldt0(xS)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(192,plain,
~ isClosed0(sbsmnsldt0(cS2043)),
inference('REWRITE',[status(thm)],[191,132,theory(equality)]) ).
cnf(197,plain,
aSet0(cS2043),
inference('REWRITE',[status(thm)],[108,132,theory(equality)]) ).
cnf(198,plain,
( ~ aElementOf0(X,cS2043)
| aInteger0('SKOLEMAAAV16'(X)) ),
inference('REWRITE',[status(thm)],[109,132,theory(equality)]) ).
cnf(199,plain,
( ~ aElementOf0(X,cS2043)
| 'SKOLEMAAAV16'(X) != sz00 ),
inference('REWRITE',[status(thm)],[110,132,theory(equality)]) ).
cnf(210,plain,
( ~ aElementOf0(X,cS2043)
| szAzrzSzezqlpdtcmdtrp0(sz00,'SKOLEMAAAV16'(X)) = X ),
inference('REWRITE',[status(thm)],[121,132,theory(equality)]) ).
cnf(267,plain,
aElementOf0('SKOLEMAAAV15'(cS2043),cS2043),
inference('UR-RESOLVE',[status(thm)],[104,197,160,192]) ).
cnf(869,plain,
aInteger0('SKOLEMAAAV16'('SKOLEMAAAV15'(cS2043))),
inference('HYPERRESOLVE',[status(thm)],[198,267]) ).
cnf(870,plain,
'SKOLEMAAAV16'('SKOLEMAAAV15'(cS2043)) != sz00,
inference('UR-RESOLVE',[status(thm)],[199,267]) ).
cnf(872,plain,
szAzrzSzezqlpdtcmdtrp0(sz00,'SKOLEMAAAV16'('SKOLEMAAAV15'(cS2043))) = 'SKOLEMAAAV15'(cS2043),
inference('HYPERRESOLVE',[status(thm)],[210,267]) ).
cnf(4097,plain,
isClosed0('SKOLEMAAAV15'(cS2043)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[107,869,1]),872,870,theory(equality)]) ).
cnf(4119,plain,
aSubsetOf0('SKOLEMAAAV15'(cS2043),cS1395),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[106,869,1]),872,870,theory(equality)]) ).
cnf(5271,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[105,4097,197,160,192]),4119]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM449+6 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n007.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
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Fri Jul 8 01:05:45 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T01:05:45
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-08T01:05:45
% 3.76/3.97
% 3.76/3.97
% 3.76/3.97 #||
% 3.76/3.97 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.76/3.97 % SZS output start Refutation
% See solution above
% 3.76/3.97 ||#
% 3.76/3.97
% 3.76/3.97 ; Summary of computation:
% 3.76/3.97 ; 15746 formulas have been input or derived (from 212 formulas).
% 3.76/3.97 ; 5271 (33%) were retained. Of these,
% 3.76/3.97 ; 826 (16%) were simplified or subsumed later,
% 3.76/3.97 ; 4445 (84%) are still being kept.
% 3.76/3.97 ;
% 3.76/3.97 ; Run time in seconds excluding printing time:
% 3.76/3.97 ; 0.018 1% Read assertion file (1 call)
% 3.76/3.97 ; 0.008 0% Assert (45 calls)
% 3.76/3.97 ; 0.466 13% Process new row (15,679 calls)
% 3.76/3.97 ; 2.284 65% Resolution (422 calls)
% 3.76/3.97 ; 0.004 0% Paramodulation (211 calls)
% 3.76/3.97 ; 0.006 0% Condensing (1,616 calls)
% 3.76/3.97 ; 0.211 6% Forward subsumption (1,616 calls)
% 3.76/3.97 ; 0.066 2% Backward subsumption (1,438 calls)
% 3.76/3.97 ; 0.011 0% Clause clause subsumption (4,839 calls)
% 3.76/3.97 ; 0.260 7% Forward simplification (13,257 calls)
% 3.76/3.97 ; 0.061 2% Backward simplification (5,245 calls)
% 3.76/3.97 ; 0.025 1% Ordering (7,774 calls)
% 3.76/3.97 ; 0.000 0% Sortal reasoning (32 calls)
% 3.76/3.97 ; 0.000 0% Purity testing (1 call)
% 3.76/3.97 ; 0.069 2% Other
% 3.76/3.97 ; 3.489 Total
% 3.76/3.97 ; 3.492 Real time
% 3.76/3.97 ;
% 3.76/3.98 ; Term-hash-array has 11,185 terms in all.
% 3.76/3.98 ; Feature-vector-row-index has 1,325 entries (1,325 at peak, 1,438 added, 113 deleted).
% 3.76/3.98 ; Feature-vector-row-index has 10,211 nodes (10,211 at peak, 10,971 added, 760 deleted).
% 3.76/3.98 ; Retrieved 3,726 possibly forward subsuming rows in 1,616 calls.
% 3.76/3.98 ; Retrieved 1,490 possibly backward subsumed rows in 1,438 calls.
% 3.76/3.98 ; Path-index has 9,990 entries (9,990 at peak, 11,557 added, 1,567 deleted).
% 3.76/3.98 ; Path-index has 2,497 nodes (2,497 at peak, 2,664 added, 167 deleted).
% 3.76/3.98 ; Trie-index has 9,990 entries (9,990 at peak, 11,557 added, 1,567 deleted).
% 3.76/3.98 ; Trie-index has 48,924 nodes (48,924 at peak, 56,025 added, 7,101 deleted).
% 3.76/3.98 ; Retrieved 24,157 generalization terms in 96,122 calls.
% 3.76/3.98 ; Retrieved 3,811 instance terms in 3,806 calls.
% 3.76/3.98 ; Retrieved 6,746,428 unifiable terms in 187,271 calls.
% 3.76/3.98 ;
% 3.76/3.98 ; The agenda of rows to give has 4242 entries:
% 3.76/3.98 ; 4 with value (4 9) 225 with value (4 26) 35 with value (4 43)
% 3.76/3.98 ; 18 with value (4 10) 185 with value (4 27) 50 with value (4 44)
% 3.76/3.98 ; 35 with value (4 11) 231 with value (4 28) 57 with value (4 45)
% 3.76/3.98 ; 46 with value (4 12) 185 with value (4 29) 24 with value (4 46)
% 3.76/3.98 ; 38 with value (4 13) 198 with value (4 30) 59 with value (4 47)
% 3.76/3.98 ; 84 with value (4 14) 209 with value (4 31) 41 with value (4 48)
% 3.76/3.98 ; 73 with value (4 15) 38 with value (4 32) 53 with value (4 49)
% 3.76/3.98 ; 88 with value (4 16) 90 with value (4 33) 13 with value (4 50)
% 3.76/3.98 ; 112 with value (4 17) 122 with value (4 34) 36 with value (4 51)
% 3.76/3.98 ; 143 with value (4 18) 129 with value (4 35) 18 with value (4 52)
% 3.76/3.98 ; 171 with value (4 19) 14 with value (4 36) 55 with value (4 53)
% 3.76/3.98 ; 134 with value (4 20) 28 with value (4 37) 8 with value (4 54)
% 3.76/3.98 ; 153 with value (4 21) 20 with value (4 38) 4 with value (4 55)
% 3.76/3.98 ; 182 with value (4 22) 19 with value (4 39) 9 with value (4 56)
% 3.76/3.98 ; 153 with value (4 23) 26 with value (4 40) 31 with value (4 57)
% 3.76/3.98 ; 240 with value (4 24) 53 with value (4 41) 8 with value (4 60)
% 3.76/3.98 ; 261 with value (4 25) 34 with value (4 42)
% 3.76/3.98 Evaluation took:
% 3.76/3.98 3.493 seconds of real time
% 3.76/3.98 3.354052 seconds of user run time
% 3.76/3.98 0.139169 seconds of system run time
% 3.76/3.98 [Run times include 0.293 seconds GC run time.]
% 3.76/3.98 0 calls to %EVAL
% 3.76/3.98 0 page faults and
% 3.76/3.98 279,243,608 bytes consed.
% 3.76/3.98 :PROOF-FOUND
% 3.76/3.98 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-08T01:05:48
% 3.76/3.98 :PROOF-FOUND
% 3.76/3.98 *
%------------------------------------------------------------------------------