TSTP Solution File: NUM521+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM521+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 14:11:18 EDT 2022
% Result : Theorem 0.19s 0.55s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 8
% Syntax : Number of clauses : 15 ( 10 unt; 2 nHn; 15 RR)
% Number of literals : 27 ( 6 equ; 16 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 3 con; 0-0 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(34,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| sdtlseqdt0(X,Y)
| X != Y ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
cnf(35,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| sdtlseqdt0(X,Y)
| sdtlseqdt0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
cnf(64,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
cnf(65,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
cnf(66,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
cnf(70,hypothesis,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
cnf(71,hypothesis,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
cnf(72,hypothesis,
( xn = xp
| ~ sdtlseqdt0(xn,xp)
| xm = xp
| ~ sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
cnf(134,plain,
xm != xp,
inference('UR-RESOLVE',[status(thm)],[34,66,65,71]) ).
cnf(135,plain,
( xn = xp
| ~ sdtlseqdt0(xn,xp)
| ~ sdtlseqdt0(xm,xp) ),
inference('REWRITE',[status(thm)],[72,134]) ).
cnf(136,plain,
xn != xp,
inference('UR-RESOLVE',[status(thm)],[34,66,64,70]) ).
cnf(137,plain,
( ~ sdtlseqdt0(xn,xp)
| ~ sdtlseqdt0(xm,xp) ),
inference('REWRITE',[status(thm)],[135,136]) ).
cnf(138,plain,
sdtlseqdt0(xm,xp),
inference('UR-RESOLVE',[status(thm)],[35,66,65,71]) ).
cnf(139,plain,
~ sdtlseqdt0(xn,xp),
inference('REWRITE',[status(thm)],[137,138]) ).
cnf(140,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[35,66,64,70]),139]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : NUM521+1 : TPTP v8.1.0. Released v4.0.0.
% 0.12/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n020.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
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Thu Jul 7 15:43:29 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T15:43:29
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-07T15:43:29
% 0.19/0.55
% 0.19/0.55
% 0.19/0.55 #||
% 0.19/0.55 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.55 % SZS output start Refutation
% See solution above
% 0.19/0.55 ||#
% 0.19/0.55
% 0.19/0.55 ; Summary of computation:
% 0.19/0.55 ; 301 formulas have been input or derived (from 27 formulas).
% 0.19/0.55 ; 140 (47%) were retained. Of these,
% 0.19/0.55 ; 3 ( 2%) were simplified or subsumed later,
% 0.19/0.55 ; 137 (98%) are still being kept.
% 0.19/0.55 ;
% 0.19/0.55 ; Run time in seconds excluding printing time:
% 0.19/0.55 ; 0.013 19% Read assertion file (1 call)
% 0.19/0.55 ; 0.002 3% Assert (45 calls)
% 0.19/0.55 ; 0.011 16% Process new row (275 calls)
% 0.19/0.55 ; 0.007 10% Resolution (52 calls)
% 0.19/0.55 ; 0.001 1% Paramodulation (26 calls)
% 0.19/0.55 ; 0.002 3% Condensing (68 calls)
% 0.19/0.55 ; 0.001 1% Forward subsumption (68 calls)
% 0.19/0.55 ; 0.001 1% Backward subsumption (64 calls)
% 0.19/0.55 ; 0.001 1% Clause clause subsumption (52 calls)
% 0.19/0.55 ; 0.005 7% Forward simplification (275 calls)
% 0.19/0.55 ; 0.001 1% Backward simplification (140 calls)
% 0.19/0.55 ; 0.001 1% Ordering (31 calls)
% 0.19/0.55 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.55 ; 0.001 1% Purity testing (1 call)
% 0.19/0.55 ; 0.023 33% Other
% 0.19/0.55 ; 0.070 Total
% 0.19/0.55 ; 0.073 Real time
% 0.19/0.55 ;
% 0.19/0.55 ; Term-hash-array has 230 terms in all.
% 0.19/0.55 ; Feature-vector-row-index has 61 entries (62 at peak, 64 added, 3 deleted).
% 0.19/0.55 ; Feature-vector-row-index has 190 nodes (202 at peak, 218 added, 28 deleted).
% 0.19/0.55 ; Retrieved 40 possibly forward subsuming rows in 68 calls.
% 0.19/0.55 ; Retrieved 14 possibly backward subsumed rows in 64 calls.
% 0.19/0.55 ; Path-index has 235 entries (235 at peak, 241 added, 6 deleted).
% 0.19/0.55 ; Path-index has 365 nodes (365 at peak, 365 added, 0 deleted).
% 0.19/0.55 ; Trie-index has 235 entries (235 at peak, 241 added, 6 deleted).
% 0.19/0.55 ; Trie-index has 441 nodes (441 at peak, 447 added, 6 deleted).
% 0.19/0.55 ; Retrieved 182 generalization terms in 632 calls.
% 0.19/0.55 ; Retrieved 75 instance terms in 75 calls.
% 0.19/0.55 ; Retrieved 4,050 unifiable terms in 445 calls.
% 0.19/0.55 ;
% 0.19/0.55 ; The agenda of rows to process has 26 entries:
% 0.19/0.55 ; 6 with value 5 20 with value 9
% 0.19/0.55 ; The agenda of input rows to give has 49 entries:
% 0.19/0.55 ; 1 with value 4 8 with value 20 4 with value 26
% 0.19/0.55 ; 3 with value 15 4 with value 21 1 with value 27
% 0.19/0.55 ; 4 with value 16 2 with value 22 1 with value 28
% 0.19/0.55 ; 4 with value 17 2 with value 23 2 with value 30
% 0.19/0.55 ; 3 with value 18 4 with value 24 2 with value 31
% 0.19/0.55 ; 1 with value 19 2 with value 25 1 with value 41
% 0.19/0.55 ; The agenda of rows to give has 62 entries:
% 0.19/0.55 ; 2 with value (4 4) 25 with value (4 7) 25 with value (4 8)
% 0.19/0.55 ; 10 with value (4 5)
% 0.19/0.55 Evaluation took:
% 0.19/0.55 0.073 seconds of real time
% 0.19/0.55 0.064527 seconds of user run time
% 0.19/0.55 0.008162 seconds of system run time
% 0.19/0.55 0 calls to %EVAL
% 0.19/0.55 0 page faults and
% 0.19/0.55 3,873,368 bytes consed.
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T15:43:29
% 0.19/0.55 :PROOF-FOUND
% 0.19/0.55 *
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