TSTP Solution File: NUM521+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM521+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 14:11:19 EDT 2022
% Result : Theorem 0.47s 0.65s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 19 ( 12 unt; 2 nHn; 19 RR)
% Number of literals : 31 ( 9 equ; 18 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 5 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
cnf(8,axiom,
( ~ aNaturalNumber0(X)
| sdtpldt0(X,sz00) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
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(201,hypothesis,
( ~ aNaturalNumber0(X)
| sdtpldt0(xp,X) != xn ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
cnf(202,hypothesis,
~ sdtlseqdt0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1870) ).
cnf(203,hypothesis,
( ~ aNaturalNumber0(X)
| sdtpldt0(xp,X) != xm ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
cnf(204,hypothesis,
~ sdtlseqdt0(xp,xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2075) ).
cnf(208,hypothesis,
( xn = xp
| ~ sdtlseqdt0(xn,xp)
| xm = xp
| ~ sdtlseqdt0(xm,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2287) ).
cnf(220,plain,
sdtpldt0(xp,sz00) = xp,
inference('HYPERRESOLVE',[status(thm)],[8,66]) ).
cnf(257,plain,
xn != xp,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[201,1]),220,theory(equality)]) ).
cnf(261,plain,
( ~ sdtlseqdt0(xn,xp)
| xm = xp
| ~ sdtlseqdt0(xm,xp) ),
inference('REWRITE',[status(thm)],[208,257]) ).
cnf(267,plain,
xm != xp,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[203,1]),220,theory(equality)]) ).
cnf(271,plain,
( ~ sdtlseqdt0(xn,xp)
| ~ sdtlseqdt0(xm,xp) ),
inference('REWRITE',[status(thm)],[261,267]) ).
cnf(322,plain,
sdtlseqdt0(xm,xp),
inference('UR-RESOLVE',[status(thm)],[35,66,65,204]) ).
cnf(324,plain,
~ sdtlseqdt0(xn,xp),
inference('REWRITE',[status(thm)],[271,322]) ).
cnf(325,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[35,66,64,202]),324]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : NUM521+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.14 % Command : run-snark %s %d
% 0.15/0.35 % Computer : n019.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 600
% 0.15/0.35 % DateTime : Thu Jul 7 19:52:38 EDT 2022
% 0.15/0.36 % CPUTime :
% 0.21/0.49 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.21/0.50 *
% 0.21/0.50 *
% 0.21/0.50 #<PACKAGE "SNARK-USER">
% 0.21/0.50 *
% 0.21/0.50 SNARK-TPTP-OPTIONS
% 0.21/0.50 *
% 0.21/0.50 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.50 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.50 (USE-FACTORING :POS)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.50 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.50 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.50 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.50 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.50 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.50 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.50 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.50 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.50 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.50 *
% 0.21/0.50 "."
% 0.21/0.50 *
% 0.21/0.50 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T19:52:38
% 0.21/0.50 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-07-07T19:52:38
% 0.47/0.65
% 0.47/0.65
% 0.47/0.65 #||
% 0.47/0.65 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.47/0.65 % SZS output start Refutation
% See solution above
% 0.47/0.65 ||#
% 0.47/0.65
% 0.47/0.65 ; Summary of computation:
% 0.47/0.65 ; 545 formulas have been input or derived (from 35 formulas).
% 0.47/0.65 ; 325 (60%) were retained. Of these,
% 0.47/0.65 ; 12 ( 4%) were simplified or subsumed later,
% 0.47/0.65 ; 313 (96%) are still being kept.
% 0.47/0.65 ;
% 0.47/0.65 ; Run time in seconds excluding printing time:
% 0.47/0.65 ; 0.015 11% Read assertion file (1 call)
% 0.47/0.65 ; 0.010 7% Assert (45 calls)
% 0.47/0.65 ; 0.027 19% Process new row (509 calls)
% 0.47/0.65 ; 0.014 10% Resolution (68 calls)
% 0.47/0.65 ; 0.000 0% Paramodulation (34 calls)
% 0.47/0.65 ; 0.008 6% Condensing (209 calls)
% 0.47/0.65 ; 0.028 20% Forward subsumption (209 calls)
% 0.47/0.65 ; 0.003 2% Backward subsumption (205 calls)
% 0.47/0.65 ; 0.005 4% Clause clause subsumption (462 calls)
% 0.47/0.65 ; 0.011 8% Forward simplification (509 calls)
% 0.47/0.65 ; 0.002 1% Backward simplification (325 calls)
% 0.47/0.65 ; 0.000 0% Ordering (44 calls)
% 0.47/0.65 ; 0.000 0% Sortal reasoning (32 calls)
% 0.47/0.65 ; 0.001 1% Purity testing (1 call)
% 0.47/0.65 ; 0.018 13% Other
% 0.47/0.65 ; 0.142 Total
% 0.47/0.65 ; 0.144 Real time
% 0.47/0.65 ;
% 0.47/0.65 ; Term-hash-array has 333 terms in all.
% 0.47/0.65 ; Feature-vector-row-index has 193 entries (196 at peak, 205 added, 12 deleted).
% 0.47/0.65 ; Feature-vector-row-index has 1,684 nodes (1,732 at peak, 1,811 added, 127 deleted).
% 0.47/0.65 ; Retrieved 479 possibly forward subsuming rows in 209 calls.
% 0.47/0.65 ; Retrieved 33 possibly backward subsumed rows in 205 calls.
% 0.47/0.65 ; Path-index has 335 entries (339 at peak, 358 added, 23 deleted).
% 0.47/0.65 ; Path-index has 443 nodes (443 at peak, 443 added, 0 deleted).
% 0.47/0.65 ; Trie-index has 335 entries (339 at peak, 358 added, 23 deleted).
% 0.47/0.65 ; Trie-index has 596 nodes (599 at peak, 619 added, 23 deleted).
% 0.47/0.65 ; Retrieved 254 generalization terms in 1,855 calls.
% 0.47/0.65 ; Retrieved 119 instance terms in 119 calls.
% 0.47/0.65 ; Retrieved 8,142 unifiable terms in 643 calls.
% 0.47/0.65 ;
% 0.47/0.65 ; The agenda of rows to process has 36 entries:
% 0.47/0.65 ; 6 with value 5 30 with value 9
% 0.47/0.65 ; The agenda of input rows to give has 177 entries:
% 0.47/0.65 ; 1 with value 4 1 with value 28 2 with value 55
% 0.47/0.65 ; 1 with value 10 2 with value 30 6 with value 56
% 0.47/0.65 ; 4 with value 15 2 with value 31 7 with value 57
% 0.47/0.65 ; 4 with value 16 1 with value 41 13 with value 58
% 0.47/0.65 ; 4 with value 17 2 with value 43 10 with value 59
% 0.47/0.65 ; 3 with value 18 1 with value 45 9 with value 60
% 0.47/0.65 ; 1 with value 19 1 with value 46 4 with value 61
% 0.47/0.65 ; 8 with value 20 2 with value 47 6 with value 62
% 0.47/0.65 ; 5 with value 21 2 with value 48 10 with value 63
% 0.47/0.65 ; 2 with value 22 2 with value 49 9 with value 64
% 0.47/0.65 ; 2 with value 23 1 with value 50 7 with value 65
% 0.47/0.65 ; 4 with value 24 2 with value 51 2 with value 67
% 0.47/0.65 ; 2 with value 25 5 with value 52 3 with value 68
% 0.47/0.65 ; 4 with value 26 5 with value 53 5 with value 69
% 0.47/0.65 ; 1 with value 27 8 with value 54 1 with value 73
% 0.47/0.65 ; The agenda of rows to give has 102 entries:
% 0.47/0.65 ; 2 with value (4 4) 40 with value (4 7) 49 with value (4 8)
% 0.47/0.65 ; 11 with value (4 5)
% 0.47/0.65 Evaluation took:
% 0.47/0.65 0.145 seconds of real time
% 0.47/0.65 0.138383 seconds of user run time
% 0.47/0.65 0.00603 seconds of system run time
% 0.47/0.65 0 calls to %EVAL
% 0.47/0.65 0 page faults and
% 0.47/0.65 9,668,528 bytes consed.
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T19:52:38
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 *
%------------------------------------------------------------------------------