TSTP Solution File: NUM474+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM474+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n007.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 14:10:52 EDT 2022
% Result : Theorem 2.49s 2.68s
% Output : Refutation 2.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 17
% Syntax : Number of clauses : 27 ( 21 unt; 2 nHn; 27 RR)
% Number of literals : 50 ( 19 equ; 25 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 17 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| aNaturalNumber0(sdtpldt0(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB) ).
cnf(16,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| sdtasdt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAMDistr) ).
cnf(28,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ sdtlseqdt0(X,Y)
| Z != sdtmndt0(Y,X)
| aNaturalNumber0(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
cnf(29,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ sdtlseqdt0(X,Y)
| Z != sdtmndt0(Y,X)
| sdtpldt0(X,Z) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefDiff) ).
cnf(45,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| X = sz00
| ~ doDivides0(X,Y)
| Z != sdtsldt0(Y,X)
| aNaturalNumber0(Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
cnf(46,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| X = sz00
| ~ doDivides0(X,Y)
| Z != sdtsldt0(Y,X)
| Y = sdtasdt0(X,Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefQuot) ).
cnf(50,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
cnf(51,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
cnf(52,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324) ).
cnf(53,hypothesis,
doDivides0(xl,xm),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324_04) ).
cnf(54,hypothesis,
doDivides0(xl,sdtpldt0(xm,xn)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1324_04) ).
cnf(55,hypothesis,
xl != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1347) ).
cnf(56,hypothesis,
xp = sdtsldt0(xm,xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1360) ).
cnf(57,hypothesis,
xq = sdtsldt0(sdtpldt0(xm,xn),xl),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1379) ).
cnf(58,hypothesis,
sdtlseqdt0(xp,xq),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1395) ).
cnf(59,hypothesis,
xr = sdtmndt0(xq,xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1422) ).
cnf(60,negated_conjecture,
sdtpldt0(sdtasdt0(xl,xp),sdtasdt0(xl,xr)) != sdtpldt0(sdtasdt0(xl,xp),xn),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(95,plain,
aNaturalNumber0(sdtpldt0(xm,xn)),
inference('HYPERRESOLVE',[status(thm)],[4,51,52]) ).
cnf(340,plain,
aNaturalNumber0(xp),
inference('UR-RESOLVE',[status(thm)],[45,50,51,55,53,56]) ).
cnf(566,plain,
xm = sdtasdt0(xl,xp),
inference('UR-RESOLVE',[status(thm)],[46,50,51,55,53,56]) ).
cnf(567,plain,
sdtpldt0(xm,sdtasdt0(xl,xr)) != sdtpldt0(xm,xn),
inference('REWRITE',[status(thm)],[60,566,theory(equality)]) ).
cnf(2967,plain,
aNaturalNumber0(xq),
inference('UR-RESOLVE',[status(thm)],[45,95,50,55,54,57]) ).
cnf(2987,plain,
sdtpldt0(xm,xn) = sdtasdt0(xl,xq),
inference('UR-RESOLVE',[status(thm)],[46,95,50,55,54,57]) ).
cnf(3846,plain,
sdtpldt0(xm,sdtasdt0(xl,xr)) != sdtasdt0(xl,xq),
inference('REWRITE',[status(thm)],[567,2987,theory(equality)]) ).
cnf(4027,plain,
aNaturalNumber0(xr),
inference('HYPERRESOLVE',[status(thm)],[28,2967,340,58,59]) ).
cnf(4061,plain,
sdtpldt0(xp,xr) = xq,
inference('HYPERRESOLVE',[status(thm)],[29,2967,340,58,59]) ).
cnf(6181,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,4027,50,340]),3846,566,4061,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM474+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n007.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Tue Jul 5 07:32:42 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.48 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.49 *
% 0.21/0.49 *
% 0.21/0.49 #<PACKAGE "SNARK-USER">
% 0.21/0.49 *
% 0.21/0.49 SNARK-TPTP-OPTIONS
% 0.21/0.49 *
% 0.21/0.49 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.49 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.49 (USE-FACTORING :POS)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.49 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.49 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.49 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.49 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.49 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.49 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.49 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.49 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.49 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.49 *
% 0.21/0.49 "."
% 0.21/0.49 *
% 0.21/0.49 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T07:32:42
% 0.21/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n007.cluster.edu at 2022-07-05T07:32:42
% 0.21/0.52 WARNING:
% 0.21/0.52 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 2.49/2.68
% 2.49/2.68
% 2.49/2.68 #||
% 2.49/2.68 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 2.49/2.68 % SZS output start Refutation
% See solution above
% 2.49/2.70 ||#
% 2.49/2.70
% 2.49/2.70 ; Summary of computation:
% 2.49/2.70 ; 19025 formulas have been input or derived (from 80 formulas).
% 2.49/2.70 ; 6181 (32%) were retained. Of these,
% 2.49/2.70 ; 1943 (31%) were simplified or subsumed later,
% 2.49/2.70 ; 4238 (69%) are still being kept.
% 2.49/2.70 ;
% 2.49/2.70 ; Run time in seconds excluding printing time:
% 2.49/2.70 ; 0.011 1% Read assertion file (1 call)
% 2.49/2.70 ; 0.002 0% Assert (41 calls)
% 2.49/2.70 ; 0.462 21% Process new row (17,148 calls)
% 2.49/2.70 ; 1.071 49% Resolution (158 calls)
% 2.49/2.70 ; 0.002 0% Paramodulation (79 calls)
% 2.49/2.70 ; 0.001 0% Condensing (372 calls)
% 2.49/2.70 ; 0.012 1% Forward subsumption (372 calls)
% 2.49/2.70 ; 0.003 0% Backward subsumption (298 calls)
% 2.49/2.70 ; 0.000 0% Clause clause subsumption (411 calls)
% 2.49/2.70 ; 0.304 14% Forward simplification (14,448 calls)
% 2.49/2.70 ; 0.190 9% Backward simplification (6,181 calls)
% 2.49/2.70 ; 0.047 2% Ordering (5,658 calls)
% 2.49/2.70 ; 0.000 0% Sortal reasoning (32 calls)
% 2.49/2.70 ; 0.001 0% Purity testing (1 call)
% 2.49/2.70 ; 0.079 4% Other
% 2.49/2.70 ; 2.185 Total
% 2.49/2.70 ; 2.209 Real time
% 2.49/2.70 ;
% 2.49/2.70 ; Term-hash-array has 13,738 terms in all.
% 2.49/2.70 ; Feature-vector-row-index has 236 entries (236 at peak, 298 added, 62 deleted).
% 2.49/2.70 ; Feature-vector-row-index has 850 nodes (850 at peak, 1,199 added, 349 deleted).
% 2.49/2.70 ; Retrieved 444 possibly forward subsuming rows in 372 calls.
% 2.49/2.70 ; Retrieved 145 possibly backward subsumed rows in 298 calls.
% 2.49/2.70 ; Path-index has 9,961 entries (9,961 at peak, 14,420 added, 4,459 deleted).
% 2.49/2.70 ; Path-index has 1,483 nodes (1,483 at peak, 1,654 added, 171 deleted).
% 2.49/2.70 ; Trie-index has 9,961 entries (9,961 at peak, 14,420 added, 4,459 deleted).
% 2.49/2.70 ; Trie-index has 39,411 nodes (39,411 at peak, 60,025 added, 20,614 deleted).
% 2.49/2.70 ; Retrieved 21,032 generalization terms in 93,786 calls.
% 2.49/2.70 ; Retrieved 5,935 instance terms in 5,882 calls.
% 2.49/2.70 ; Retrieved 1,688,051 unifiable terms in 99,461 calls.
% 2.49/2.70 ;
% 2.49/2.70 ; The agenda of rows to process has 1289 entries:
% 2.49/2.70 ; 405 with value 20 256 with value 25 16 with value 29
% 2.49/2.70 ; 20 with value 21 176 with value 27 32 with value 31
% 2.49/2.70 ; 384 with value 23
% 2.49/2.70 ; The agenda of rows to give has 4164 entries:
% 2.49/2.70 ; 21 with value (4 7) 293 with value (4 16) 312 with value (4 25)
% 2.49/2.70 ; 81 with value (4 8) 250 with value (4 17) 113 with value (4 26)
% 2.49/2.70 ; 55 with value (4 9) 329 with value (4 18) 119 with value (4 27)
% 2.49/2.70 ; 55 with value (4 10) 287 with value (4 19) 30 with value (4 28)
% 2.49/2.70 ; 114 with value (4 11) 302 with value (4 20) 153 with value (4 29)
% 2.49/2.70 ; 82 with value (4 12) 336 with value (4 21) 18 with value (4 30)
% 2.49/2.70 ; 171 with value (4 13) 140 with value (4 22) 36 with value (4 32)
% 2.49/2.70 ; 132 with value (4 14) 310 with value (4 23) 45 with value (4 33)
% 2.49/2.70 ; 269 with value (4 15) 111 with value (4 24)
% 2.49/2.70 Evaluation took:
% 2.49/2.70 2.21 seconds of real time
% 2.49/2.70 2.07058 seconds of user run time
% 2.49/2.70 0.139055 seconds of system run time
% 2.49/2.70 [Run times include 0.269 seconds GC run time.]
% 2.49/2.70 0 calls to %EVAL
% 2.49/2.70 0 page faults and
% 2.49/2.70 163,981,264 bytes consed.
% 2.49/2.70 :PROOF-FOUND
% 2.49/2.70 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-05T07:32:45
% 2.49/2.70 :PROOF-FOUND
% 2.49/2.70 *
%------------------------------------------------------------------------------