TSTP Solution File: NUM518+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM518+3 : TPTP v8.1.0. Released v4.0.0.
% 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 : Mon Jul 18 14:11:17 EDT 2022
% Result : Theorem 2.33s 2.58s
% Output : Refutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 15
% Syntax : Number of clauses : 27 ( 20 unt; 4 nHn; 27 RR)
% Number of literals : 40 ( 12 equ; 14 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 6 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
cnf(14,axiom,
( ~ aNaturalNumber0(X)
| sdtasdt0(X,sz00) = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
cnf(33,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| ~ sdtlseqdt0(X,Y)
| ~ sdtlseqdt0(Y,Z)
| sdtlseqdt0(X,Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETran) ).
cnf(41,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| X = sz00
| sdtlseqdt0(Y,sdtasdt0(Y,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMonMul2) ).
cnf(64,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
cnf(66,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
cnf(202,hypothesis,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
cnf(218,hypothesis,
aNaturalNumber0(xr),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2342) ).
cnf(248,hypothesis,
aNaturalNumber0(sdtsldt0(xn,xr)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2504) ).
cnf(249,hypothesis,
xn = sdtasdt0(xr,sdtsldt0(xn,xr)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2504) ).
cnf(253,hypothesis,
sdtlseqdt0(sdtsldt0(xn,xr),xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2504) ).
cnf(260,hypothesis,
( aNaturalNumber0('SKOLEMAAAU21')
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2645) ).
cnf(263,hypothesis,
( sdtsldt0(xn,xr) = sdtasdt0(xp,'SKOLEMAAAU21')
| doDivides0(xp,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2645) ).
cnf(267,negated_conjecture,
( ~ aNaturalNumber0(X)
| xn != sdtasdt0(xp,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(270,negated_conjecture,
~ doDivides0(xp,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(271,plain,
aNaturalNumber0('SKOLEMAAAU21'),
inference('REWRITE',[status(thm)],[260,270]) ).
cnf(272,plain,
sdtsldt0(xn,xr) = sdtasdt0(xp,'SKOLEMAAAU21'),
inference('REWRITE',[status(thm)],[263,270]) ).
cnf(273,plain,
aNaturalNumber0(sdtasdt0(xp,'SKOLEMAAAU21')),
inference('REWRITE',[status(thm)],[248,272,theory(equality)]) ).
cnf(274,plain,
xn = sdtasdt0(xr,sdtasdt0(xp,'SKOLEMAAAU21')),
inference('REWRITE',[status(thm)],[249,272,theory(equality)]) ).
cnf(277,plain,
sdtlseqdt0(sdtasdt0(xp,'SKOLEMAAAU21'),xn),
inference('REWRITE',[status(thm)],[253,272,theory(equality)]) ).
cnf(388,plain,
sdtasdt0(xr,sz00) = sz00,
inference('HYPERRESOLVE',[status(thm)],[14,218]) ).
cnf(393,plain,
sdtasdt0(xp,sz00) = sz00,
inference('HYPERRESOLVE',[status(thm)],[14,66]) ).
cnf(483,plain,
xn != sz00,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[267,1]),393,theory(equality)]) ).
cnf(2220,plain,
( 'SKOLEMAAAU21' = sz00
| sdtlseqdt0(xp,sdtasdt0(xp,'SKOLEMAAAU21')) ),
inference('HYPERRESOLVE',[status(thm)],[41,271,66]) ).
cnf(2675,plain,
~ sdtlseqdt0(xp,sdtasdt0(xp,'SKOLEMAAAU21')),
inference('UR-RESOLVE',[status(thm)],[33,66,273,64,277,202]) ).
cnf(2676,plain,
'SKOLEMAAAU21' = sz00,
inference('REWRITE',[status(thm)],[2220,2675]) ).
cnf(2678,plain,
$false,
inference('REWRITE',[status(thm)],[274,483,388,393,2676,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : NUM518+3 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.11 % Command : run-snark %s %d
% 0.12/0.32 % Computer : n028.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Thu Jul 7 02:22:23 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.17/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.44 *
% 0.17/0.44 *
% 0.17/0.44 #<PACKAGE "SNARK-USER">
% 0.17/0.44 *
% 0.17/0.44 SNARK-TPTP-OPTIONS
% 0.17/0.44 *
% 0.17/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.17/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.17/0.45 (USE-FACTORING :POS)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.17/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.17/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.17/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.17/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.17/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.17/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.17/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.17/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.17/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.17/0.45 *
% 0.17/0.45 "."
% 0.17/0.45 *
% 0.17/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T02:22:23
% 0.17/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-07-07T02:22:23
% 2.33/2.58
% 2.33/2.58
% 2.33/2.58 #||
% 2.33/2.58 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 2.33/2.58 % SZS output start Refutation
% See solution above
% 2.33/2.58 ||#
% 2.33/2.58
% 2.33/2.58 ; Summary of computation:
% 2.33/2.58 ; 6107 formulas have been input or derived (from 111 formulas).
% 2.33/2.58 ; 2678 (44%) were retained. Of these,
% 2.33/2.58 ; 469 (18%) were simplified or subsumed later,
% 2.33/2.58 ; 2209 (82%) are still being kept.
% 2.33/2.58 ;
% 2.33/2.58 ; Run time in seconds excluding printing time:
% 2.33/2.58 ; 0.018 1% Read assertion file (1 call)
% 2.33/2.58 ; 0.011 1% Assert (56 calls)
% 2.33/2.59 ; 0.144 7% Process new row (5,665 calls)
% 2.33/2.59 ; 1.724 81% Resolution (220 calls)
% 2.33/2.59 ; 0.000 0% Paramodulation (110 calls)
% 2.33/2.59 ; 0.000 0% Factoring (6 calls)
% 2.33/2.59 ; 0.009 0% Condensing (1,633 calls)
% 2.33/2.59 ; 0.066 3% Forward subsumption (1,633 calls)
% 2.33/2.59 ; 0.036 2% Backward subsumption (1,259 calls)
% 2.33/2.59 ; 0.005 0% Clause clause subsumption (1,669 calls)
% 2.33/2.59 ; 0.053 2% Forward simplification (5,665 calls)
% 2.33/2.59 ; 0.026 1% Backward simplification (2,677 calls)
% 2.33/2.59 ; 0.004 0% Ordering (2,456 calls)
% 2.33/2.59 ; 0.001 0% Sortal reasoning (32 calls)
% 2.33/2.59 ; 0.001 0% Purity testing (1 call)
% 2.33/2.59 ; 0.039 2% Other
% 2.33/2.59 ; 2.137 Total
% 2.33/2.59 ; 2.139 Real time
% 2.33/2.59 ;
% 2.33/2.59 ; Term-hash-array has 3,568 terms in all.
% 2.33/2.59 ; Feature-vector-row-index has 1,062 entries (1,219 at peak, 1,259 added, 197 deleted).
% 2.33/2.59 ; Feature-vector-row-index has 4,055 nodes (4,451 at peak, 4,602 added, 547 deleted).
% 2.33/2.59 ; Retrieved 3,987 possibly forward subsuming rows in 1,633 calls.
% 2.33/2.59 ; Retrieved 1,267 possibly backward subsumed rows in 1,259 calls.
% 2.33/2.59 ; Path-index has 2,955 entries (3,553 at peak, 3,594 added, 639 deleted).
% 2.33/2.59 ; Path-index has 1,013 nodes (1,121 at peak, 1,154 added, 141 deleted).
% 2.33/2.59 ; Trie-index has 2,955 entries (3,553 at peak, 3,594 added, 639 deleted).
% 2.33/2.59 ; Trie-index has 4,475 nodes (5,780 at peak, 5,856 added, 1,381 deleted).
% 2.33/2.59 ; Retrieved 3,436 generalization terms in 13,804 calls.
% 2.33/2.59 ; Retrieved 1,417 instance terms in 1,417 calls.
% 2.33/2.59 ; Retrieved 4,047,471 unifiable terms in 86,028 calls.
% 2.33/2.59 ;
% 2.33/2.59 ; The agenda of backward simplifiable rows to process has 404 entries:
% 2.33/2.59 ; 404 with value 0
% 2.33/2.59 ; The agenda of rows to process has 1 entry:
% 2.33/2.59 ; 1 with value 8
% 2.33/2.59 ; The agenda of input rows to give has 151 entries:
% 2.33/2.59 ; 1 with value 7 1 with value 45 13 with value 58
% 2.33/2.59 ; 4 with value 21 1 with value 46 10 with value 59
% 2.33/2.59 ; 2 with value 22 2 with value 47 9 with value 60
% 2.33/2.59 ; 2 with value 23 2 with value 48 4 with value 61
% 2.33/2.59 ; 4 with value 24 2 with value 49 6 with value 62
% 2.33/2.59 ; 2 with value 25 1 with value 50 10 with value 63
% 2.33/2.59 ; 4 with value 26 2 with value 51 9 with value 64
% 2.33/2.59 ; 1 with value 27 5 with value 52 7 with value 65
% 2.33/2.59 ; 1 with value 28 5 with value 53 2 with value 67
% 2.33/2.59 ; 2 with value 30 8 with value 54 3 with value 68
% 2.33/2.59 ; 2 with value 31 2 with value 55 5 with value 69
% 2.33/2.59 ; 1 with value 41 6 with value 56 1 with value 73
% 2.33/2.59 ; 2 with value 43 7 with value 57
% 2.33/2.59 ; The agenda of rows to give has 1956 entries:
% 2.33/2.59 ; 2 with value (4 4) 19 with value (4 11) 12 with value (4 18)
% 2.33/2.59 ; 36 with value (4 5) 173 with value (4 12) 56 with value (4 19)
% 2.33/2.59 ; 6 with value (4 6) 36 with value (4 13) 3 with value (4 20)
% 2.33/2.59 ; 474 with value (4 7) 164 with value (4 14) 5 with value (4 21)
% 2.33/2.59 ; 354 with value (4 8) 64 with value (4 15) 3 with value (4 22)
% 2.33/2.59 ; 135 with value (4 9) 35 with value (4 16) 2 with value (4 24)
% 2.33/2.59 ; 295 with value (4 10) 80 with value (4 17) 2 with value (4 25)
% 2.33/2.59 Evaluation took:
% 2.33/2.59 2.14 seconds of real time
% 2.33/2.59 2.091646 seconds of user run time
% 2.33/2.59 0.047821 seconds of system run time
% 2.33/2.59 [Run times include 0.063 seconds GC run time.]
% 2.33/2.59 0 calls to %EVAL
% 2.33/2.59 0 page faults and
% 2.33/2.59 98,668,816 bytes consed.
% 2.33/2.59 :PROOF-FOUND
% 2.33/2.59 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T02:22:25
% 2.33/2.59 :PROOF-FOUND
% 2.33/2.59 *
%------------------------------------------------------------------------------