TSTP Solution File: NUM465+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM465+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n015.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 14:10:47 EDT 2022
% Result : Theorem 9.55s 9.73s
% Output : Refutation 9.55s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 11
% Syntax : Number of clauses : 18 ( 11 unt; 2 nHn; 18 RR)
% Number of literals : 29 ( 12 equ; 11 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 9 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
aNaturalNumber0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
cnf(5,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| aNaturalNumber0(sdtasdt0(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
cnf(10,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
cnf(13,axiom,
( ~ aNaturalNumber0(X)
| X = sdtasdt0(sz10,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulUnit) ).
cnf(17,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| sdtasdt0(sdtpldt0(Y,Z),X) = sdtpldt0(sdtasdt0(Y,X),sdtasdt0(Z,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
cnf(41,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).
cnf(42,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__987) ).
cnf(43,hypothesis,
( xm = sz00
| aNaturalNumber0('SKOLEMAAAV2') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1007) ).
cnf(44,hypothesis,
( xm = sz00
| sdtpldt0(sz10,'SKOLEMAAAV2') = xm ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1007) ).
cnf(46,negated_conjecture,
xm != sz00,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(47,negated_conjecture,
( ~ aNaturalNumber0(X)
| sdtpldt0(xn,X) != sdtasdt0(xn,xm) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(49,plain,
aNaturalNumber0('SKOLEMAAAV2'),
inference('REWRITE',[status(thm)],[43,46]) ).
cnf(50,plain,
sdtpldt0(sz10,'SKOLEMAAAV2') = xm,
inference('REWRITE',[status(thm)],[44,46]) ).
cnf(72,plain,
xn = sdtasdt0(sz10,xn),
inference('HYPERRESOLVE',[status(thm)],[13,42]) ).
cnf(98,plain,
aNaturalNumber0(sdtasdt0('SKOLEMAAAV2',xn)),
inference('HYPERRESOLVE',[status(thm)],[5,49,42]) ).
cnf(128,plain,
sdtasdt0(xn,xm) = sdtasdt0(xm,xn),
inference('HYPERRESOLVE',[status(thm)],[10,42,41]) ).
cnf(481,plain,
sdtasdt0(xm,xn) = sdtpldt0(xn,sdtasdt0('SKOLEMAAAV2',xn)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,42,2,49]),72,50,theory(equality)]) ).
cnf(18558,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[47,98]),128,481,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM465+2 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n015.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 : Wed Jul 6 00:42:18 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.45 #<PACKAGE "SNARK-USER">
% 0.18/0.45 *
% 0.18/0.45 SNARK-TPTP-OPTIONS
% 0.18/0.45 *
% 0.18/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.45 (USE-FACTORING :POS)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.45 *
% 0.18/0.45 "."
% 0.18/0.45 *
% 0.18/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T00:42:18
% 0.18/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-07-06T00:42:18
% 9.55/9.73
% 9.55/9.73
% 9.55/9.73 #||
% 9.55/9.73 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.55/9.73 % SZS output start Refutation
% See solution above
% 9.55/9.73 ||#
% 9.55/9.73
% 9.55/9.73 ; Summary of computation:
% 9.55/9.73 ; 59880 formulas have been input or derived (from 68 formulas).
% 9.55/9.73 ; 18558 (31%) were retained. Of these,
% 9.55/9.73 ; 2161 (12%) were simplified or subsumed later,
% 9.55/9.73 ; 16397 (88%) are still being kept.
% 9.55/9.73 ;
% 9.55/9.73 ; Run time in seconds excluding printing time:
% 9.55/9.73 ; 0.009 0% Read assertion file (1 call)
% 9.55/9.73 ; 0.002 0% Assert (29 calls)
% 9.55/9.73 ; 1.849 20% Process new row (50,340 calls)
% 9.55/9.73 ; 5.072 55% Resolution (134 calls)
% 9.55/9.73 ; 0.002 0% Paramodulation (67 calls)
% 9.55/9.73 ; 0.002 0% Condensing (376 calls)
% 9.55/9.73 ; 0.018 0% Forward subsumption (376 calls)
% 9.55/9.73 ; 0.002 0% Backward subsumption (238 calls)
% 9.55/9.73 ; 0.005 0% Clause clause subsumption (701 calls)
% 9.55/9.73 ; 1.537 17% Forward simplification (50,340 calls)
% 9.55/9.73 ; 0.442 5% Backward simplification (18,558 calls)
% 9.55/9.73 ; 0.125 1% Ordering (18,016 calls)
% 9.55/9.73 ; 0.000 0% Sortal reasoning (32 calls)
% 9.55/9.73 ; 0.000 0% Purity testing (1 call)
% 9.55/9.73 ; 0.210 2% Other
% 9.55/9.73 ; 9.275 Total
% 9.55/9.73 ; 9.277 Real time
% 9.55/9.73 ;
% 9.55/9.73 ; Term-hash-array has 40,658 terms in all.
% 9.55/9.73 ; Feature-vector-row-index has 228 entries (228 at peak, 238 added, 10 deleted).
% 9.55/9.73 ; Feature-vector-row-index has 722 nodes (722 at peak, 767 added, 45 deleted).
% 9.55/9.73 ; Retrieved 617 possibly forward subsuming rows in 376 calls.
% 9.55/9.73 ; Retrieved 220 possibly backward subsumed rows in 238 calls.
% 9.55/9.73 ; Path-index has 37,918 entries (37,918 at peak, 42,307 added, 4,389 deleted).
% 9.55/9.73 ; Path-index has 1,450 nodes (1,450 at peak, 1,583 added, 133 deleted).
% 9.55/9.73 ; Trie-index has 37,918 entries (37,918 at peak, 42,307 added, 4,389 deleted).
% 9.55/9.73 ; Trie-index has 196,539 nodes (196,539 at peak, 220,863 added, 24,324 deleted).
% 9.55/9.73 ; Retrieved 94,147 generalization terms in 470,390 calls.
% 9.55/9.73 ; Retrieved 18,442 instance terms in 18,319 calls.
% 9.55/9.73 ; Retrieved 4,740,912 unifiable terms in 239,013 calls.
% 9.55/9.73 ;
% 9.55/9.73 ; The agenda of rows to process has 8091 entries:
% 9.55/9.73 ; 4 with value 14 140 with value 20 532 with value 27
% 9.55/9.73 ; 20 with value 15 300 with value 21 3068 with value 29
% 9.55/9.73 ; 60 with value 16 201 with value 23 2028 with value 33
% 9.55/9.73 ; 78 with value 18 1660 with value 25
% 9.55/9.73 ; The agenda of rows to give has 16329 entries:
% 9.55/9.73 ; 8 with value (4 7) 403 with value (4 17) 1292 with value (4 27)
% 9.55/9.73 ; 59 with value (4 8) 108 with value (4 18) 597 with value (4 28)
% 9.55/9.73 ; 22 with value (4 9) 413 with value (4 19) 2862 with value (4 29)
% 9.55/9.73 ; 14 with value (4 10) 263 with value (4 20) 430 with value (4 30)
% 9.55/9.73 ; 155 with value (4 11) 703 with value (4 21) 192 with value (4 31)
% 9.55/9.73 ; 30 with value (4 12) 1122 with value (4 23) 908 with value (4 32)
% 9.55/9.73 ; 325 with value (4 13) 132 with value (4 24) 1296 with value (4 33)
% 9.55/9.73 ; 59 with value (4 14) 2200 with value (4 25) 1158 with value (4 34)
% 9.55/9.73 ; 253 with value (4 15) 341 with value (4 26) 864 with value (4 36)
% 9.55/9.73 ; 120 with value (4 16)
% 9.55/9.73 Evaluation took:
% 9.55/9.73 9.279 seconds of real time
% 9.55/9.73 8.850931 seconds of user run time
% 9.55/9.73 0.427277 seconds of system run time
% 9.55/9.73 [Run times include 1.324 seconds GC run time.]
% 9.55/9.73 0 calls to %EVAL
% 9.55/9.73 0 page faults and
% 9.55/9.73 574,429,552 bytes consed.
% 9.55/9.73 :PROOF-FOUND
% 9.55/9.73 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-06T00:42:27
% 9.55/9.73 :PROOF-FOUND
% 9.55/9.73 *
%------------------------------------------------------------------------------