TSTP Solution File: NUM604+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM604+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 14:12:06 EDT 2022
% Result : Theorem 177.27s 177.47s
% Output : Refutation 177.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 14
% Syntax : Number of clauses : 23 ( 15 unt; 1 nHn; 23 RR)
% Number of literals : 37 ( 8 equ; 17 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
( X != slcrc0
| aSet0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefEmp) ).
cnf(7,axiom,
( ~ aSet0(X)
| ~ isCountable0(X)
| X != slcrc0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mCountNFin_01) ).
cnf(8,axiom,
( ~ aSet0(X)
| ~ aSubsetOf0(Y,X)
| aSet0(Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
cnf(9,axiom,
( ~ aSet0(X)
| ~ aSubsetOf0(Y,X)
| ~ aElementOf0(Z,Y)
| aElementOf0(Z,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSub) ).
cnf(40,axiom,
aSet0(szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
cnf(69,axiom,
( ~ aSubsetOf0(X,szNzAzT0)
| X = slcrc0
| Y != szmzizndt0(X)
| aElementOf0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMin) ).
cnf(141,hypothesis,
aSubsetOf0(xS,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3435) ).
cnf(158,hypothesis,
( ~ aElementOf0(X,szNzAzT0)
| aSubsetOf0(sdtlpdtrp0(xN,X),szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
cnf(159,hypothesis,
( ~ aElementOf0(X,szNzAzT0)
| isCountable0(sdtlpdtrp0(xN,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3671) ).
cnf(179,hypothesis,
( ~ aElementOf0(X,szNzAzT0)
| sdtlpdtrp0(xe,X) = szmzizndt0(sdtlpdtrp0(xN,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4660) ).
cnf(194,hypothesis,
aElementOf0(xi,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5034) ).
cnf(195,hypothesis,
sdtlpdtrp0(xe,xi) = xx,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5034) ).
cnf(196,hypothesis,
aSubsetOf0(sdtlpdtrp0(xN,xi),xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__5045) ).
cnf(197,negated_conjecture,
~ aElementOf0(xx,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(198,plain,
aSet0(slcrc0),
inference('HYPERRESOLVE',[status(thm)],[2,theory(equality)]) ).
cnf(233,plain,
aSet0(xS),
inference('HYPERRESOLVE',[status(thm)],[8,40,141]) ).
cnf(259,plain,
isCountable0(sdtlpdtrp0(xN,xi)),
inference('HYPERRESOLVE',[status(thm)],[159,194]) ).
cnf(275,plain,
aSubsetOf0(sdtlpdtrp0(xN,xi),szNzAzT0),
inference('HYPERRESOLVE',[status(thm)],[158,194]) ).
cnf(301,plain,
xx = szmzizndt0(sdtlpdtrp0(xN,xi)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[179,194]),195,theory(equality)]) ).
cnf(604,plain,
~ isCountable0(slcrc0),
inference('UR-RESOLVE',[status(thm)],[7,198,theory(equality)]) ).
cnf(1516,plain,
~ aElementOf0(xx,sdtlpdtrp0(xN,xi)),
inference('UR-RESOLVE',[status(thm)],[9,233,196,197]) ).
cnf(82569,plain,
sdtlpdtrp0(xN,xi) = slcrc0,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[69,275,theory(equality)]),1516,301,theory(equality)]) ).
cnf(82570,plain,
$false,
inference('REWRITE',[status(thm)],[259,604,82569,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : NUM604+1 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n016.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jul 7 10:04:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.46 #<PACKAGE "SNARK-USER">
% 0.19/0.46 *
% 0.19/0.46 SNARK-TPTP-OPTIONS
% 0.19/0.46 *
% 0.19/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.46 (USE-FACTORING :POS)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.46 *
% 0.19/0.46 "."
% 0.19/0.46 *
% 0.19/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T10:04:36
% 0.19/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-07T10:04:36
% 177.27/177.47
% 177.27/177.47
% 177.27/177.47 #||
% 177.27/177.47 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 177.27/177.47 % SZS output start Refutation
% See solution above
% 177.27/177.47 ||#
% 177.27/177.47
% 177.27/177.47 ; Summary of computation:
% 177.27/177.47 ; 92793 formulas have been input or derived (from 345 formulas).
% 177.27/177.47 ; 82570 (89%) were retained. Of these,
% 177.27/177.47 ; 862 ( 1%) were simplified or subsumed later,
% 177.27/177.47 ; 81708 (99%) are still being kept.
% 177.27/177.47 ;
% 177.27/177.47 ; Run time in seconds excluding printing time:
% 177.27/177.47 ; 0.026 0% Read assertion file (1 call)
% 177.27/177.47 ; 0.008 0% Assert (101 calls)
% 177.27/177.47 ; 13.513 8% Process new row (91,892 calls)
% 177.27/177.47 ; 91.031 51% Resolution (688 calls)
% 177.27/177.47 ; 0.004 0% Paramodulation (344 calls)
% 177.27/177.47 ; 0.149 0% Condensing (76,223 calls)
% 177.27/177.47 ; 49.627 28% Forward subsumption (76,223 calls)
% 177.27/177.47 ; 18.556 10% Backward subsumption (74,579 calls)
% 177.27/177.47 ; 0.322 0% Clause clause subsumption (101,014 calls)
% 177.27/177.47 ; 2.945 2% Forward simplification (91,892 calls)
% 177.27/177.47 ; 0.168 0% Backward simplification (82,568 calls)
% 177.27/177.47 ; 0.203 0% Ordering (215,533 calls)
% 177.27/177.47 ; 0.000 0% Sortal reasoning (32 calls)
% 177.27/177.47 ; 0.001 0% Purity testing (1 call)
% 177.27/177.47 ; 0.455 0% Other
% 177.27/177.47 ; 177.008 Total
% 177.27/177.47 ; 177.011 Real time
% 177.27/177.47 ;
% 177.34/177.51 ; Term-hash-array has 216,035 terms in all.
% 177.34/177.51 ; Feature-vector-row-index has 73,821 entries (73,821 at peak, 74,579 added, 758 deleted).
% 177.34/177.51 ; Feature-vector-row-index has 408,307 nodes (408,307 at peak, 416,004 added, 7,697 deleted).
% 177.34/177.51 ; Retrieved 196,699 possibly forward subsuming rows in 76,223 calls.
% 177.34/177.51 ; Retrieved 147,718 possibly backward subsumed rows in 74,579 calls.
% 177.34/177.51 ; Path-index has 215,373 entries (215,387 at peak, 216,755 added, 1,382 deleted).
% 177.34/177.51 ; Path-index has 5,450 nodes (5,463 at peak, 5,641 added, 191 deleted).
% 177.34/177.51 ; Trie-index has 215,373 entries (215,387 at peak, 216,755 added, 1,382 deleted).
% 177.34/177.51 ; Trie-index has 479,402 nodes (479,442 at peak, 482,644 added, 3,242 deleted).
% 177.34/177.51 ; Retrieved 20,226 generalization terms in 556,175 calls.
% 177.34/177.51 ; Retrieved 7,988 instance terms in 7,988 calls.
% 177.34/177.51 ; Retrieved 294,430,063 unifiable terms in 878,790 calls.
% 177.34/177.51 ;
% 177.34/177.51 ; The agenda of backward simplifiable rows to process has 9 entries:
% 177.34/177.51 ; 9 with value 0
% 177.34/177.51 ; The agenda of rows to give has 81366 entries:
% 177.34/177.51 ; 178 with value (4 8) 982 with value (4 25) 5153 with value (4 41)
% 177.34/177.51 ; 302 with value (4 9) 696 with value (4 26) 2512 with value (4 42)
% 177.34/177.51 ; 446 with value (4 10) 409 with value (4 27) 1746 with value (4 43)
% 177.34/177.51 ; 1247 with value (4 11) 822 with value (4 28) 7191 with value (4 44)
% 177.34/177.51 ; 1669 with value (4 12) 434 with value (4 29) 6763 with value (4 45)
% 177.34/177.51 ; 1948 with value (4 13) 672 with value (4 30) 312 with value (4 46)
% 177.34/177.51 ; 987 with value (4 14) 1064 with value (4 31) 2800 with value (4 47)
% 177.34/177.51 ; 691 with value (4 15) 930 with value (4 32) 5063 with value (4 48)
% 177.34/177.51 ; 159 with value (4 16) 980 with value (4 33) 936 with value (4 49)
% 177.34/177.51 ; 459 with value (4 17) 1679 with value (4 34) 211 with value (4 51)
% 177.34/177.51 ; 208 with value (4 18) 2018 with value (4 35) 1920 with value (4 52)
% 177.34/177.51 ; 112 with value (4 19) 2403 with value (4 36) 2088 with value (4 53)
% 177.34/177.51 ; 491 with value (4 20) 2919 with value (4 37) 1196 with value (4 57)
% 177.34/177.51 ; 348 with value (4 21) 1963 with value (4 38) 1872 with value (4 58)
% 177.34/177.51 ; 662 with value (4 22) 3946 with value (4 39) 624 with value (4 62)
% 177.34/177.51 ; 434 with value (4 23) 5296 with value (4 40) 2808 with value (4 63)
% 177.34/177.51 ; 617 with value (4 24)
% 177.34/177.51 Evaluation took:
% 177.34/177.51 177.049 seconds of real time
% 177.34/177.51 172.75696 seconds of user run time
% 177.34/177.51 4.290993 seconds of system run time
% 177.34/177.51 [Run times include 35.212 seconds GC run time.]
% 177.34/177.51 0 calls to %EVAL
% 177.34/177.51 0 page faults and
% 177.34/177.51 10,584,056,784 bytes consed.
% 177.34/177.51 :PROOF-FOUND
% 177.34/177.51 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T10:07:33
% 177.34/177.51 :PROOF-FOUND
% 177.34/177.51 *
%------------------------------------------------------------------------------