TSTP Solution File: NUM529+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM529+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n003.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 0.78s 1.01s
% Output : Refutation 0.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 17
% Syntax : Number of clauses : 24 ( 19 unt; 4 nHn; 24 RR)
% Number of literals : 46 ( 20 equ; 21 neg)
% Maximal clause size : 9 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 11 ( 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(24,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| sdtasdt0(X,Y) != sz00
| X = sz00
| Y = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroMul) ).
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(46,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| X = sz00
| ~ doDivides0(X,Y)
| Z != sdtsldt0(Y,X)
| aNaturalNumber0(Z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefQuot) ).
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(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(71,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(73,hypothesis,
isPrime0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3025) ).
cnf(75,hypothesis,
doDivides0(xp,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3046) ).
cnf(76,hypothesis,
xq = sdtsldt0(xn,xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3059) ).
cnf(77,hypothesis,
sdtasdt0(xm,xm) = sdtasdt0(xp,sdtasdt0(xq,xq)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3082) ).
cnf(78,hypothesis,
xm != xn,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3124) ).
cnf(79,hypothesis,
sdtlseqdt0(xm,xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__3124) ).
cnf(103,plain,
sdtasdt0(xp,sz00) = sz00,
inference('HYPERRESOLVE',[status(thm)],[14,67]) ).
cnf(106,plain,
sdtasdt0(sz00,sz00) = sz00,
inference('HYPERRESOLVE',[status(thm)],[14,1]) ).
cnf(198,plain,
iLess0(xm,xn),
inference('UR-RESOLVE',[status(thm)],[42,66,65,78,79]) ).
cnf(213,plain,
sdtasdt0(xm,xm) != sz00,
inference('UR-RESOLVE',[status(thm)],[24,66,66,69,69]) ).
cnf(415,plain,
aNaturalNumber0(xq),
inference('UR-RESOLVE',[status(thm)],[46,67,65,70,75,76]) ).
cnf(1182,plain,
xq = sz00,
inference('UR-RESOLVE',[status(thm)],[71,198,66,415,67,69,70,77,73]) ).
cnf(1184,plain,
$false,
inference('REWRITE',[status(thm)],[77,213,103,106,1182,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM529+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n003.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 05:09:12 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T05:09:12
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n003.cluster.edu at 2022-07-07T05:09:12
% 0.78/1.01
% 0.78/1.01
% 0.78/1.01 #||
% 0.78/1.01 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.78/1.01 % SZS output start Refutation
% See solution above
% 0.78/1.01 ||#
% 0.78/1.01
% 0.78/1.01 ; Summary of computation:
% 0.78/1.01 ; 4057 formulas have been input or derived (from 94 formulas).
% 0.78/1.01 ; 1184 (29%) were retained. Of these,
% 0.78/1.01 ; 479 (40%) were simplified or subsumed later,
% 0.78/1.01 ; 705 (60%) are still being kept.
% 0.78/1.01 ;
% 0.78/1.01 ; Run time in seconds excluding printing time:
% 0.78/1.01 ; 0.013 2% Read assertion file (1 call)
% 0.78/1.01 ; 0.003 1% Assert (48 calls)
% 0.78/1.01 ; 0.077 14% Process new row (3,609 calls)
% 0.78/1.01 ; 0.282 53% Resolution (186 calls)
% 0.78/1.01 ; 0.003 1% Paramodulation (93 calls)
% 0.78/1.01 ; 0.002 0% Condensing (170 calls)
% 0.78/1.01 ; 0.006 1% Forward subsumption (170 calls)
% 0.78/1.01 ; 0.002 0% Backward subsumption (146 calls)
% 0.78/1.01 ; 0.001 0% Clause clause subsumption (108 calls)
% 0.78/1.01 ; 0.075 14% Forward simplification (3,609 calls)
% 0.78/1.01 ; 0.025 5% Backward simplification (1,184 calls)
% 0.78/1.01 ; 0.008 1% Ordering (916 calls)
% 0.78/1.01 ; 0.000 0% Sortal reasoning (32 calls)
% 0.78/1.01 ; 0.000 0% Purity testing (1 call)
% 0.78/1.01 ; 0.038 7% Other
% 0.78/1.01 ; 0.535 Total
% 0.78/1.01 ; 0.539 Real time
% 0.78/1.01 ;
% 0.78/1.01 ; Term-hash-array has 2,322 terms in all.
% 0.78/1.01 ; Feature-vector-row-index has 106 entries (133 at peak, 146 added, 40 deleted).
% 0.78/1.01 ; Feature-vector-row-index has 427 nodes (607 at peak, 718 added, 291 deleted).
% 0.78/1.01 ; Retrieved 78 possibly forward subsuming rows in 170 calls.
% 0.78/1.01 ; Retrieved 32 possibly backward subsumed rows in 146 calls.
% 0.78/1.01 ; Path-index has 1,373 entries (2,118 at peak, 2,401 added, 1,028 deleted).
% 0.78/1.01 ; Path-index has 717 nodes (816 at peak, 836 added, 119 deleted).
% 0.78/1.01 ; Trie-index has 1,373 entries (2,118 at peak, 2,401 added, 1,028 deleted).
% 0.78/1.01 ; Trie-index has 3,741 nodes (6,030 at peak, 6,816 added, 3,075 deleted).
% 0.78/1.01 ; Retrieved 6,060 generalization terms in 16,174 calls.
% 0.78/1.01 ; Retrieved 1,048 instance terms in 1,037 calls.
% 0.78/1.01 ; Retrieved 476,528 unifiable terms in 31,124 calls.
% 0.78/1.01 ;
% 0.78/1.01 ; The agenda of backward simplifiable rows to process has 339 entries:
% 0.78/1.01 ; 339 with value 0
% 0.78/1.01 ; The agenda of rows to process has 5 entries:
% 0.78/1.01 ; 5 with value 14
% 0.78/1.01 ; The agenda of input rows to give has 1 entry:
% 0.78/1.01 ; 1 with value 7
% 0.78/1.01 ; The agenda of rows to give has 613 entries:
% 0.78/1.01 ; 3 with value (4 5) 69 with value (4 11) 36 with value (4 17)
% 0.78/1.01 ; 7 with value (4 6) 17 with value (4 12) 34 with value (4 18)
% 0.78/1.01 ; 26 with value (4 7) 108 with value (4 13) 23 with value (4 20)
% 0.78/1.01 ; 98 with value (4 8) 13 with value (4 14) 1 with value (4 21)
% 0.78/1.01 ; 14 with value (4 9) 121 with value (4 15) 1 with value (4 24)
% 0.78/1.01 ; 38 with value (4 10) 3 with value (4 16) 1 with value (4 25)
% 0.78/1.01 Evaluation took:
% 0.78/1.01 0.54 seconds of real time
% 0.78/1.02 0.500115 seconds of user run time
% 0.78/1.02 0.036298 seconds of system run time
% 0.78/1.02 [Run times include 0.016 seconds GC run time.]
% 0.78/1.02 0 calls to %EVAL
% 0.78/1.02 0 page faults and
% 0.78/1.02 33,716,024 bytes consed.
% 0.78/1.02 :PROOF-FOUND
% 0.78/1.02 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T05:09:12
% 0.78/1.02 :PROOF-FOUND
% 0.78/1.02 *
%------------------------------------------------------------------------------