%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM529+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 14:11:23 EDT 2022
% Result : Theorem 1.99s 2.16s
% Output : Refutation 1.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 15
% Syntax : Number of clauses : 19 ( 16 unt; 2 nHn; 19 RR)
% Number of literals : 32 ( 14 equ; 14 neg)
% Maximal clause size : 9 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 5 con; 0-2 aty)
% Number of variables : 6 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(14,axiom,
( ~ aNaturalNumber0(X)
| sdtasdt0(X,sz00) = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
cnf(42,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| X = Y
| ~ sdtlseqdt0(X,Y)
| iLess0(X,Y) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mIH_03) ).
cnf(65,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
cnf(66,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
cnf(67,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
cnf(68,hypothesis,
xn != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
cnf(69,hypothesis,
xm != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
cnf(70,hypothesis,
xp != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2987) ).
cnf(77,hypothesis,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| X = sz00
| Y = sz00
| Z = sz00
| sdtasdt0(Z,sdtasdt0(Y,Y)) != sdtasdt0(X,X)
| ~ iLess0(X,xn)
| ~ isPrime0(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2963) ).
cnf(82,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3025) ).
cnf(89,hypothesis,
aNaturalNumber0(xq),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
cnf(90,hypothesis,
xn = sdtasdt0(xp,xq),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
cnf(92,hypothesis,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3082) ).
cnf(93,hypothesis,
xm != xn,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3124) ).
cnf(96,hypothesis,
sdtlseqdt0(xm,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3124) ).
cnf(144,plain,
sdtasdt0(xp,sz00) = sz00,
inference('HYPERRESOLVE',[status(thm)],[14,67]) ).
cnf(483,plain,
iLess0(xm,xn),
inference('UR-RESOLVE',[status(thm)],[42,66,65,93,96]) ).
cnf(3596,plain,
xq = sz00,
inference('UR-RESOLVE',[status(thm)],[77,483,66,89,67,69,70,92,82]) ).
cnf(3597,plain,
$false,
inference('REWRITE',[status(thm)],[90,68,144,3596,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM529+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n026.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Wed Jul 6 14:23:53 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T14:23:53
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-06T14:23:53
% 1.99/2.16
% 1.99/2.16
% 1.99/2.16 #||
% 1.99/2.16 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.99/2.16 % SZS output start Refutation
% See solution above
% 1.99/2.16 ||#
% 1.99/2.16
% 1.99/2.16 ; Summary of computation:
% 1.99/2.16 ; 10780 formulas have been input or derived (from 114 formulas).
% 1.99/2.16 ; 3597 (33%) were retained. Of these,
% 1.99/2.16 ; 1994 (55%) were simplified or subsumed later,
% 1.99/2.16 ; 1603 (45%) are still being kept.
% 1.99/2.16 ;
% 1.99/2.16 ; Run time in seconds excluding printing time:
% 1.99/2.16 ; 0.014 1% Read assertion file (1 call)
% 1.99/2.16 ; 0.005 0% Assert (48 calls)
% 1.99/2.16 ; 0.227 13% Process new row (10,003 calls)
% 1.99/2.16 ; 1.084 64% Resolution (226 calls)
% 1.99/2.17 ; 0.004 0% Paramodulation (113 calls)
% 1.99/2.17 ; 0.001 0% Condensing (370 calls)
% 1.99/2.17 ; 0.013 1% Forward subsumption (370 calls)
% 1.99/2.17 ; 0.003 0% Backward subsumption (276 calls)
% 1.99/2.17 ; 0.002 0% Clause clause subsumption (264 calls)
% 1.99/2.17 ; 0.164 10% Forward simplification (10,001 calls)
% 1.99/2.17 ; 0.118 7% Backward simplification (3,597 calls)
% 1.99/2.17 ; 0.007 0% Ordering (3,276 calls)
% 1.99/2.17 ; 0.001 0% Sortal reasoning (32 calls)
% 1.99/2.17 ; 0.000 0% Purity testing (1 call)
% 1.99/2.17 ; 0.046 3% Other
% 1.99/2.17 ; 1.689 Total
% 1.99/2.17 ; 1.700 Real time
% 1.99/2.17 ;
% 1.99/2.17 ; Term-hash-array has 7,842 terms in all.
% 1.99/2.17 ; Feature-vector-row-index has 174 entries (232 at peak, 276 added, 102 deleted).
% 1.99/2.17 ; Feature-vector-row-index has 783 nodes (1,047 at peak, 1,172 added, 389 deleted).
% 1.99/2.17 ; Retrieved 235 possibly forward subsuming rows in 370 calls.
% 1.99/2.17 ; Retrieved 65 possibly backward subsumed rows in 276 calls.
% 1.99/2.17 ; Path-index has 3,471 entries (6,869 at peak, 8,184 added, 4,713 deleted).
% 1.99/2.17 ; Path-index has 919 nodes (1,025 at peak, 1,145 added, 226 deleted).
% 1.99/2.17 ; Trie-index has 3,471 entries (6,869 at peak, 8,184 added, 4,713 deleted).
% 1.99/2.17 ; Trie-index has 9,823 nodes (20,106 at peak, 24,349 added, 14,526 deleted).
% 1.99/2.17 ; Retrieved 14,635 generalization terms in 51,167 calls.
% 1.99/2.17 ; Retrieved 3,338 instance terms in 3,320 calls.
% 1.99/2.17 ; Retrieved 2,297,068 unifiable terms in 96,822 calls.
% 1.99/2.17 ;
% 1.99/2.17 ; The agenda of backward simplifiable rows to process has 683 entries:
% 1.99/2.17 ; 683 with value 0
% 1.99/2.17 ; The agenda of rows to process has 9 entries:
% 1.99/2.17 ; 5 with value 14 1 with value 24 1 with value 28
% 1.99/2.17 ; 2 with value 23
% 1.99/2.17 ; The agenda of rows to give has 1497 entries:
% 1.99/2.17 ; 3 with value (4 5) 33 with value (4 12) 1 with value (4 19)
% 1.99/2.17 ; 7 with value (4 6) 252 with value (4 13) 57 with value (4 20)
% 1.99/2.17 ; 55 with value (4 7) 22 with value (4 14) 2 with value (4 21)
% 1.99/2.17 ; 159 with value (4 8) 431 with value (4 15) 2 with value (4 22)
% 1.99/2.17 ; 24 with value (4 9) 5 with value (4 16) 1 with value (4 24)
% 1.99/2.17 ; 69 with value (4 10) 175 with value (4 17) 1 with value (4 25)
% 1.99/2.17 ; 126 with value (4 11) 72 with value (4 18)
% 1.99/2.17 Evaluation took:
% 1.99/2.17 1.701 seconds of real time
% 1.99/2.17 1.620558 seconds of user run time
% 1.99/2.17 0.080008 seconds of system run time
% 1.99/2.17 [Run times include 0.124 seconds GC run time.]
% 1.99/2.17 0 calls to %EVAL
% 1.99/2.17 0 page faults and
% 1.99/2.17 113,308,568 bytes consed.
% 1.99/2.17 :PROOF-FOUND
% 1.99/2.17 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T14:23:55
% 1.99/2.17 :PROOF-FOUND
% 1.99/2.17 *
%------------------------------------------------------------------------------