TSTP Solution File: NUM500+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM500+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n021.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 14:11:07 EDT 2022
% Result : Theorem 99.84s 100.08s
% Output : Refutation 99.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 7
% Syntax : Number of clauses : 11 ( 7 unt; 3 nHn; 11 RR)
% Number of literals : 22 ( 8 equ; 8 neg)
% Maximal clause size : 4 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(61,axiom,
( ~ aNaturalNumber0(X)
| X = sz00
| X = sz10
| aNaturalNumber0('SKOLEMAAAV4'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimDiv) ).
cnf(62,axiom,
( ~ aNaturalNumber0(X)
| X = sz00
| X = sz10
| doDivides0('SKOLEMAAAV4'(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimDiv) ).
cnf(63,axiom,
( ~ aNaturalNumber0(X)
| X = sz00
| X = sz10
| isPrime0('SKOLEMAAAV4'(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mPrimDiv) ).
cnf(213,hypothesis,
aNaturalNumber0(xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
cnf(216,hypothesis,
xk != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2315) ).
cnf(217,hypothesis,
xk != sz10,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2315) ).
cnf(231,negated_conjecture,
( ~ aNaturalNumber0(X)
| ~ doDivides0(X,xk)
| ~ isPrime0(X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(511,plain,
aNaturalNumber0('SKOLEMAAAV4'(xk)),
inference('UR-RESOLVE',[status(thm)],[61,213,216,217]) ).
cnf(518,plain,
isPrime0('SKOLEMAAAV4'(xk)),
inference('UR-RESOLVE',[status(thm)],[63,213,216,217]) ).
cnf(624,plain,
doDivides0('SKOLEMAAAV4'(xk),xk),
inference('UR-RESOLVE',[status(thm)],[62,213,216,217]) ).
cnf(6559,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[231,518,511]),624]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM500+3 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n021.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jul 7 01:53:34 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.18/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.46 *
% 0.18/0.46 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T01:53:34
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n021.cluster.edu at 2022-07-07T01:53:34
% 99.84/100.08
% 99.84/100.08
% 99.84/100.08 #||
% 99.84/100.08 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 99.84/100.08 % SZS output start Refutation
% See solution above
% 99.84/100.08 ||#
% 99.84/100.08
% 99.84/100.08 ; Summary of computation:
% 99.84/100.08 ; 16369 formulas have been input or derived (from 253 formulas).
% 99.84/100.08 ; 6559 (40%) were retained. Of these,
% 99.84/100.08 ; 280 ( 4%) were simplified or subsumed later,
% 99.84/100.08 ; 6279 (96%) are still being kept.
% 99.84/100.08 ;
% 99.84/100.08 ; Run time in seconds excluding printing time:
% 99.84/100.08 ; 0.015 0% Read assertion file (1 call)
% 99.84/100.08 ; 0.011 0% Assert (48 calls)
% 99.84/100.08 ; 0.488 0% Process new row (16,117 calls)
% 99.84/100.08 ; 98.372 99% Resolution (504 calls)
% 99.84/100.08 ; 0.068 0% Paramodulation (252 calls)
% 99.84/100.08 ; 0.027 0% Condensing (1,124 calls)
% 99.84/100.08 ; 0.140 0% Forward subsumption (1,124 calls)
% 99.84/100.08 ; 0.028 0% Backward subsumption (937 calls)
% 99.84/100.08 ; 0.010 0% Clause clause subsumption (1,326 calls)
% 99.84/100.08 ; 0.313 0% Forward simplification (16,117 calls)
% 99.84/100.08 ; 0.034 0% Backward simplification (6,559 calls)
% 99.84/100.08 ; 0.019 0% Ordering (6,289 calls)
% 99.84/100.08 ; 0.000 0% Sortal reasoning (32 calls)
% 99.84/100.08 ; 0.001 0% Purity testing (1 call)
% 99.84/100.08 ; 0.062 0% Other
% 99.84/100.08 ; 99.588 Total
% 99.84/100.08 ; 99.615 Real time
% 99.84/100.08 ;
% 99.84/100.08 ; Term-hash-array has 14,304 terms in all.
% 99.84/100.08 ; Feature-vector-row-index has 930 entries (930 at peak, 937 added, 7 deleted).
% 99.84/100.08 ; Feature-vector-row-index has 11,728 nodes (11,728 at peak, 11,749 added, 21 deleted).
% 99.84/100.08 ; Retrieved 1,586 possibly forward subsuming rows in 1,124 calls.
% 99.84/100.08 ; Retrieved 226 possibly backward subsumed rows in 937 calls.
% 99.84/100.08 ; Path-index has 13,848 entries (13,848 at peak, 14,506 added, 658 deleted).
% 99.84/100.08 ; Path-index has 1,361 nodes (1,361 at peak, 1,382 added, 21 deleted).
% 99.84/100.08 ; Trie-index has 13,848 entries (13,848 at peak, 14,506 added, 658 deleted).
% 99.84/100.08 ; Trie-index has 45,088 nodes (45,088 at peak, 47,144 added, 2,056 deleted).
% 99.84/100.08 ; Retrieved 21,548 generalization terms in 92,640 calls.
% 99.84/100.08 ; Retrieved 5,644 instance terms in 5,621 calls.
% 99.84/100.08 ; Retrieved 87,860,029 unifiable terms in 2,650,223 calls.
% 99.84/100.08 ;
% 99.84/100.08 ; The agenda of rows to process has 13 entries:
% 99.84/100.08 ; 2 with value 8 9 with value 11 2 with value 12
% 99.84/100.08 ; The agenda of rows to give has 6026 entries:
% 99.84/100.08 ; 6 with value (4 6) 144 with value (4 24) 19 with value (4 50)
% 99.84/100.08 ; 102 with value (4 7) 6 with value (4 25) 38 with value (4 51)
% 99.84/100.08 ; 202 with value (4 8) 8 with value (4 26) 34 with value (4 52)
% 99.84/100.08 ; 46 with value (4 9) 4 with value (4 27) 44 with value (4 53)
% 99.84/100.08 ; 199 with value (4 10) 2 with value (4 34) 28 with value (4 54)
% 99.84/100.08 ; 276 with value (4 11) 6 with value (4 36) 30 with value (4 55)
% 99.84/100.08 ; 84 with value (4 12) 7 with value (4 38) 28 with value (4 56)
% 99.84/100.08 ; 468 with value (4 13) 2 with value (4 39) 30 with value (4 57)
% 99.84/100.08 ; 259 with value (4 14) 8 with value (4 40) 34 with value (4 58)
% 99.84/100.08 ; 1027 with value (4 15) 6 with value (4 41) 18 with value (4 59)
% 99.84/100.08 ; 27 with value (4 16) 9 with value (4 42) 18 with value (4 60)
% 99.84/100.08 ; 766 with value (4 17) 6 with value (4 43) 6 with value (4 61)
% 99.84/100.08 ; 133 with value (4 18) 10 with value (4 44) 14 with value (4 62)
% 99.84/100.08 ; 728 with value (4 19) 12 with value (4 45) 6 with value (4 63)
% 99.84/100.08 ; 185 with value (4 20) 16 with value (4 46) 10 with value (4 64)
% 99.84/100.08 ; 577 with value (4 21) 26 with value (4 47) 2 with value (4 66)
% 99.84/100.08 ; 198 with value (4 22) 14 with value (4 48) 2 with value (4 68)
% 99.84/100.08 ; 68 with value (4 23) 28 with value (4 49)
% 99.84/100.08 Evaluation took:
% 99.84/100.08 99.617 seconds of real time
% 99.84/100.08 99.369354 seconds of user run time
% 99.84/100.08 0.222 seconds of system run time
% 99.84/100.08 [Run times include 0.903 seconds GC run time.]
% 99.84/100.08 0 calls to %EVAL
% 99.84/100.08 0 page faults and
% 99.84/100.08 1,883,276,984 bytes consed.
% 99.84/100.08 :PROOF-FOUND
% 99.84/100.08 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T01:55:14
% 99.84/100.08 :PROOF-FOUND
% 99.84/100.08 *
%------------------------------------------------------------------------------