%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM612+1 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 14:12:12 EDT 2022
% Result : Theorem 60.37s 60.59s
% Output : Refutation 60.37s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 16
% Syntax : Number of clauses : 25 ( 17 unt; 0 nHn; 25 RR)
% Number of literals : 43 ( 10 equ; 21 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(8,axiom,
( ~ aSet0(X)
| ~ aSubsetOf0(Y,X)
| aSet0(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
cnf(12,axiom,
( ~ aSet0(X)
| ~ isFinite0(X)
| ~ aSubsetOf0(Y,X)
| isFinite0(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSubFSet) ).
cnf(60,axiom,
( ~ aSet0(X)
| ~ aElementOf0(sbrdtbr0(X),szNzAzT0)
| isFinite0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
cnf(61,axiom,
( ~ aSet0(X)
| aElementOf0(sbrdtbr0(X),szNzAzT0)
| ~ isFinite0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardNum) ).
cnf(65,axiom,
( ~ aSet0(X)
| ~ isFinite0(X)
| ~ aElementOf0(Y,X)
| szszuzczcdt0(sbrdtbr0(sdtmndt0(X,Y))) = sbrdtbr0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCardDiff) ).
cnf(97,axiom,
( ~ aSet0(X)
| ~ aElementOf0(Y,szNzAzT0)
| Z != slbdtsldtrb0(X,Y)
| ~ aElementOf0(U,Z)
| sbrdtbr0(U) = Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSel) ).
cnf(140,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3418) ).
cnf(187,hypothesis,
aSet0(xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4891) ).
cnf(194,hypothesis,
aElementOf0(xQ,slbdtsldtrb0(xO,xK)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5078) ).
cnf(195,hypothesis,
aSubsetOf0(xQ,xO),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5093) ).
cnf(199,hypothesis,
xp = szmzizndt0(xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5147) ).
cnf(200,hypothesis,
aSet0(xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
cnf(201,hypothesis,
xP = sdtmndt0(xQ,szmzizndt0(xQ)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5164) ).
cnf(202,plain,
xP = sdtmndt0(xQ,xp),
inference('REWRITE',[status(thm)],[201,199,theory(equality)]) ).
cnf(203,hypothesis,
aElementOf0(xp,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5173) ).
cnf(205,hypothesis,
aSubsetOf0(xP,xQ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5195) ).
cnf(207,negated_conjecture,
( szszuzczcdt0(sbrdtbr0(xP)) != sbrdtbr0(xQ)
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(242,plain,
aSet0(xQ),
inference('HYPERRESOLVE',[status(thm)],[8,187,195]) ).
cnf(388,plain,
sbrdtbr0(xQ) = xK,
inference('HYPERRESOLVE',[status(thm)],[97,187,140,194,theory(equality)]) ).
cnf(389,plain,
( szszuzczcdt0(sbrdtbr0(xP)) != xK
| ~ aElementOf0(sbrdtbr0(xP),szNzAzT0) ),
inference('REWRITE',[status(thm)],[207,388,theory(equality)]) ).
cnf(43009,plain,
isFinite0(xQ),
inference('REWRITE',[status(thm)],[inference('PARAMODULATE',[status(thm)],[60,388,theory(equality)]),140,242]) ).
cnf(43013,plain,
isFinite0(xP),
inference('HYPERRESOLVE',[status(thm)],[12,43009,242,205]) ).
cnf(43057,plain,
szszuzczcdt0(sbrdtbr0(xP)) = xK,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[65,43009,242,203]),388,202,theory(equality)]) ).
cnf(43058,plain,
~ aElementOf0(sbrdtbr0(xP),szNzAzT0),
inference('REWRITE',[status(thm)],[389,43057,theory(equality)]) ).
cnf(43071,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[61,43058,200]),43013]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM612+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n009.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Tue Jul 5 03:06:37 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.47 #<PACKAGE "SNARK-USER">
% 0.18/0.47 *
% 0.18/0.47 SNARK-TPTP-OPTIONS
% 0.18/0.47 *
% 0.18/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.47 (USE-FACTORING :POS)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.47 *
% 0.18/0.47 "."
% 0.18/0.47 *
% 0.18/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T03:06:37
% 0.18/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-05T03:06:37
% 60.37/60.59
% 60.37/60.59
% 60.37/60.59 #||
% 60.37/60.59 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 60.37/60.59 % SZS output start Refutation
% See solution above
% 60.37/60.59 ||#
% 60.37/60.59
% 60.37/60.59 ; Summary of computation:
% 60.37/60.59 ; 48371 formulas have been input or derived (from 333 formulas).
% 60.37/60.59 ; 43071 (89%) were retained. Of these,
% 60.37/60.59 ; 699 ( 2%) were simplified or subsumed later,
% 60.37/60.59 ; 42372 (98%) are still being kept.
% 60.37/60.59 ;
% 60.37/60.59 ; Run time in seconds excluding printing time:
% 60.37/60.59 ; 0.027 0% Read assertion file (1 call)
% 60.37/60.59 ; 0.006 0% Assert (109 calls)
% 60.37/60.59 ; 5.929 10% Process new row (48,006 calls)
% 60.37/60.59 ; 26.616 44% Resolution (664 calls)
% 60.37/60.59 ; 0.006 0% Paramodulation (332 calls)
% 60.37/60.59 ; 0.059 0% Condensing (40,471 calls)
% 60.37/60.59 ; 20.330 34% Forward subsumption (40,471 calls)
% 60.37/60.59 ; 4.917 8% Backward subsumption (39,170 calls)
% 60.37/60.59 ; 0.102 0% Clause clause subsumption (42,255 calls)
% 60.37/60.59 ; 1.638 3% Forward simplification (48,006 calls)
% 60.37/60.59 ; 0.150 0% Backward simplification (43,068 calls)
% 60.37/60.59 ; 0.089 0% Ordering (99,923 calls)
% 60.37/60.59 ; 0.001 0% Sortal reasoning (32 calls)
% 60.37/60.59 ; 0.001 0% Purity testing (1 call)
% 60.37/60.59 ; 0.237 0% Other
% 60.37/60.59 ; 60.108 Total
% 60.37/60.59 ; 60.123 Real time
% 60.37/60.59 ;
% 60.37/60.61 ; Term-hash-array has 113,479 terms in all.
% 60.37/60.61 ; Feature-vector-row-index has 38,519 entries (38,519 at peak, 39,170 added, 651 deleted).
% 60.37/60.61 ; Feature-vector-row-index has 259,873 nodes (259,873 at peak, 263,570 added, 3,697 deleted).
% 60.37/60.61 ; Retrieved 90,550 possibly forward subsuming rows in 40,471 calls.
% 60.37/60.61 ; Retrieved 31,875 possibly backward subsumed rows in 39,170 calls.
% 60.37/60.61 ; Path-index has 113,190 entries (113,190 at peak, 114,517 added, 1,327 deleted).
% 60.37/60.61 ; Path-index has 4,928 nodes (4,928 at peak, 5,050 added, 122 deleted).
% 60.37/60.61 ; Trie-index has 113,190 entries (113,190 at peak, 114,517 added, 1,327 deleted).
% 60.37/60.61 ; Trie-index has 263,842 nodes (263,842 at peak, 266,248 added, 2,406 deleted).
% 60.37/60.61 ; Retrieved 9,778 generalization terms in 286,667 calls.
% 60.37/60.61 ; Retrieved 3,898 instance terms in 3,897 calls.
% 60.37/60.61 ; Retrieved 91,771,235 unifiable terms in 466,398 calls.
% 60.37/60.61 ;
% 60.37/60.61 ; The agenda of rows to process has 53 entries:
% 60.37/60.61 ; 3 with value 7 4 with value 10 14 with value 13
% 60.37/60.61 ; 4 with value 8 14 with value 11 1 with value 15
% 60.37/60.61 ; 5 with value 9 8 with value 12
% 60.37/60.61 ; The agenda of rows to give has 42041 entries:
% 60.37/60.61 ; 2 with value (4 6) 525 with value (4 24) 2240 with value (4 41)
% 60.37/60.61 ; 31 with value (4 7) 794 with value (4 25) 1345 with value (4 42)
% 60.37/60.61 ; 187 with value (4 8) 443 with value (4 26) 1466 with value (4 43)
% 60.37/60.61 ; 343 with value (4 9) 401 with value (4 27) 3994 with value (4 44)
% 60.37/60.61 ; 539 with value (4 10) 306 with value (4 28) 535 with value (4 45)
% 60.37/60.61 ; 686 with value (4 11) 192 with value (4 29) 481 with value (4 46)
% 60.37/60.61 ; 1033 with value (4 12) 644 with value (4 30) 3019 with value (4 47)
% 60.37/60.61 ; 434 with value (4 13) 869 with value (4 31) 1332 with value (4 48)
% 60.37/60.61 ; 249 with value (4 14) 349 with value (4 32) 169 with value (4 50)
% 60.37/60.61 ; 165 with value (4 15) 1091 with value (4 33) 246 with value (4 51)
% 60.37/60.61 ; 194 with value (4 16) 1494 with value (4 34) 1158 with value (4 52)
% 60.37/60.61 ; 235 with value (4 17) 1713 with value (4 35) 78 with value (4 53)
% 60.37/60.61 ; 177 with value (4 18) 2013 with value (4 36) 39 with value (4 55)
% 60.37/60.61 ; 143 with value (4 19) 1095 with value (4 37) 1176 with value (4 57)
% 60.37/60.61 ; 95 with value (4 20) 1674 with value (4 38) 156 with value (4 58)
% 60.37/60.61 ; 378 with value (4 21) 2668 with value (4 39) 858 with value (4 62)
% 60.37/60.61 ; 222 with value (4 22) 1881 with value (4 40) 156 with value (4 67)
% 60.37/60.61 ; 328 with value (4 23)
% 60.37/60.61 Evaluation took:
% 60.37/60.61 60.148 seconds of real time
% 60.37/60.61 58.130016 seconds of user run time
% 60.37/60.61 2.004321 seconds of system run time
% 60.37/60.61 [Run times include 10.506 seconds GC run time.]
% 60.37/60.61 0 calls to %EVAL
% 60.37/60.61 0 page faults and
% 60.37/60.61 4,378,494,112 bytes consed.
% 60.37/60.61 :PROOF-FOUND
% 60.37/60.61 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T03:07:37
% 60.37/60.61 :PROOF-FOUND
% 60.37/60.61 *
%------------------------------------------------------------------------------