TSTP Solution File: NUM452+6 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM452+6 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n020.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 14:10:39 EDT 2022
% Result : Theorem 5.54s 5.72s
% Output : Refutation 5.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 16
% Syntax : Number of clauses : 41 ( 26 unt; 1 nHn; 41 RR)
% Number of literals : 66 ( 29 equ; 29 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 20 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(2,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntOne) ).
cnf(3,axiom,
( ~ aInteger0(X)
| aInteger0(smndt0(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
cnf(4,axiom,
( ~ aInteger0(X)
| ~ aInteger0(Y)
| aInteger0(sdtpldt0(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
cnf(6,axiom,
( ~ aInteger0(X)
| ~ aInteger0(Y)
| ~ aInteger0(Z)
| sdtpldt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtpldt0(X,Y),Z) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
cnf(7,axiom,
( ~ aInteger0(X)
| ~ aInteger0(Y)
| sdtpldt0(X,Y) = sdtpldt0(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
cnf(9,axiom,
( ~ aInteger0(X)
| X = sdtpldt0(sz00,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
cnf(10,axiom,
( ~ aInteger0(X)
| sdtpldt0(X,smndt0(X)) = sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
cnf(11,axiom,
( ~ aInteger0(X)
| sz00 = sdtpldt0(smndt0(X),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
cnf(14,axiom,
( ~ aInteger0(X)
| sdtasdt0(X,sz10) = X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulOne) ).
cnf(16,axiom,
( ~ aInteger0(X)
| ~ aInteger0(Y)
| ~ aInteger0(Z)
| sdtasdt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
cnf(20,axiom,
( ~ aInteger0(X)
| sdtasdt0(smndt0(sz10),X) = smndt0(X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).
cnf(21,axiom,
( ~ aInteger0(X)
| smndt0(X) = sdtasdt0(X,smndt0(sz10)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulMinOne) ).
cnf(27,axiom,
( ~ aInteger0(X)
| aDivisorOf0(Y,X)
| ~ aInteger0(Y)
| Y = sz00
| ~ aInteger0(Z)
| sdtasdt0(Y,Z) != X ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
cnf(238,hypothesis,
aInteger0(xp),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2171) ).
cnf(239,hypothesis,
xp != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__2171) ).
cnf(267,negated_conjecture,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(306,plain,
aInteger0(smndt0(xp)),
inference('HYPERRESOLVE',[status(thm)],[3,238]) ).
cnf(307,plain,
aInteger0(smndt0(sz10)),
inference('HYPERRESOLVE',[status(thm)],[3,2]) ).
cnf(313,plain,
xp = sdtpldt0(sz00,xp),
inference('HYPERRESOLVE',[status(thm)],[9,238]) ).
cnf(315,plain,
sdtasdt0(xp,sz10) = xp,
inference('HYPERRESOLVE',[status(thm)],[14,238]) ).
cnf(329,plain,
aInteger0(sdtpldt0(sz10,xp)),
inference('HYPERRESOLVE',[status(thm)],[4,2,238]) ).
cnf(333,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference('HYPERRESOLVE',[status(thm)],[10,2]) ).
cnf(336,plain,
sz00 = sdtpldt0(smndt0(sz10),sz10),
inference('HYPERRESOLVE',[status(thm)],[11,2]) ).
cnf(338,plain,
sdtasdt0(smndt0(sz10),xp) = smndt0(xp),
inference('HYPERRESOLVE',[status(thm)],[20,238]) ).
cnf(339,plain,
sdtasdt0(smndt0(sz10),sz10) = smndt0(sz10),
inference('HYPERRESOLVE',[status(thm)],[20,2]) ).
cnf(341,plain,
smndt0(xp) = sdtasdt0(xp,smndt0(sz10)),
inference('HYPERRESOLVE',[status(thm)],[21,238]) ).
cnf(577,plain,
smndt0(xp) = sdtpldt0(sz00,smndt0(xp)),
inference('HYPERRESOLVE',[status(thm)],[9,306]) ).
cnf(789,plain,
sdtpldt0(smndt0(sz10),smndt0(xp)) = sdtpldt0(smndt0(xp),smndt0(sz10)),
inference('HYPERRESOLVE',[status(thm)],[7,307,306]) ).
cnf(815,plain,
sdtpldt0(smndt0(sz10),sdtpldt0(sz10,xp)) = xp,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,307,2,238]),313,336,theory(equality)]) ).
cnf(863,plain,
sdtpldt0(sz10,sdtpldt0(smndt0(sz10),smndt0(xp))) = smndt0(xp),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[6,307,2,306]),577,333,theory(equality)]) ).
cnf(876,plain,
sdtpldt0(sz10,sdtpldt0(smndt0(xp),smndt0(sz10))) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),
inference('HYPERRESOLVE',[status(thm)],[6,307,2,306]) ).
cnf(881,plain,
sdtasdt0(smndt0(sz10),sdtpldt0(xp,sz10)) = sdtpldt0(smndt0(xp),smndt0(sz10)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,307,238,2]),339,338,theory(equality)]) ).
cnf(883,plain,
sdtpldt0(smndt0(sz10),smndt0(xp)) = sdtasdt0(smndt0(sz10),sdtpldt0(xp,sz10)),
inference('REWRITE',[status(thm)],[789,881,theory(equality)]) ).
cnf(888,plain,
sdtpldt0(sz10,sdtasdt0(smndt0(sz10),sdtpldt0(xp,sz10))) = smndt0(xp),
inference('REWRITE',[status(thm)],[863,883,theory(equality)]) ).
cnf(895,plain,
smndt0(xp) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),smndt0(sz10)),
inference('REWRITE',[status(thm)],[876,888,881,theory(equality)]) ).
cnf(899,plain,
( ~ aDivisorOf0(xp,sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)))
| ~ aDivisorOf0(xp,smndt0(xp)) ),
inference('REWRITE',[status(thm)],[267,895,theory(equality)]) ).
cnf(1505,plain,
sdtpldt0(sdtpldt0(sz10,xp),smndt0(sz10)) = xp,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,329,307]),815,theory(equality)]) ).
cnf(1514,plain,
( ~ aDivisorOf0(xp,xp)
| ~ aDivisorOf0(xp,smndt0(xp)) ),
inference('REWRITE',[status(thm)],[899,1505,theory(equality)]) ).
cnf(7098,plain,
aDivisorOf0(xp,xp),
inference('UR-RESOLVE',[status(thm)],[27,315,238,238,239,2]) ).
cnf(7102,plain,
~ aDivisorOf0(xp,smndt0(xp)),
inference('REWRITE',[status(thm)],[1514,7098]) ).
cnf(7287,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[27,7102,306,238,239,307]),341,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM452+6 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.14/0.35 % Computer : n020.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 : Wed Jul 6 03:22:44 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.21/0.47 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.48 *
% 0.21/0.48 *
% 0.21/0.48 #<PACKAGE "SNARK-USER">
% 0.21/0.48 *
% 0.21/0.48 SNARK-TPTP-OPTIONS
% 0.21/0.48 *
% 0.21/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.48 (USE-FACTORING :POS)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.48 *
% 0.21/0.48 "."
% 0.21/0.48 *
% 0.21/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T03:22:44
% 0.21/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n020.cluster.edu at 2022-07-06T03:22:44
% 5.54/5.72
% 5.54/5.72
% 5.54/5.72 #||
% 5.54/5.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.54/5.72 % SZS output start Refutation
% See solution above
% 5.54/5.72 ||#
% 5.54/5.72
% 5.54/5.72 ; Summary of computation:
% 5.54/5.72 ; 16697 formulas have been input or derived (from 263 formulas).
% 5.54/5.72 ; 7287 (44%) were retained. Of these,
% 5.54/5.72 ; 727 (10%) were simplified or subsumed later,
% 5.54/5.72 ; 6560 (90%) are still being kept.
% 5.54/5.72 ;
% 5.54/5.72 ; Run time in seconds excluding printing time:
% 5.54/5.72 ; 0.021 0% Read assertion file (1 call)
% 5.54/5.72 ; 0.008 0% Assert (47 calls)
% 5.54/5.72 ; 0.748 14% Process new row (16,585 calls)
% 5.54/5.72 ; 3.248 62% Resolution (524 calls)
% 5.54/5.72 ; 0.008 0% Paramodulation (262 calls)
% 5.54/5.72 ; 0.005 0% Condensing (2,267 calls)
% 5.54/5.72 ; 0.388 7% Forward subsumption (2,267 calls)
% 5.54/5.72 ; 0.094 2% Backward subsumption (2,157 calls)
% 5.54/5.72 ; 0.021 0% Clause clause subsumption (9,555 calls)
% 5.54/5.72 ; 0.434 8% Forward simplification (16,563 calls)
% 5.54/5.72 ; 0.148 3% Backward simplification (7,222 calls)
% 5.54/5.72 ; 0.039 1% Ordering (11,338 calls)
% 5.54/5.72 ; 0.000 0% Sortal reasoning (32 calls)
% 5.54/5.72 ; 0.001 0% Purity testing (1 call)
% 5.54/5.72 ; 0.073 1% Other
% 5.54/5.72 ; 5.236 Total
% 5.54/5.72 ; 5.239 Real time
% 5.54/5.72 ;
% 5.54/5.72 ; Term-hash-array has 15,897 terms in all.
% 5.54/5.72 ; Feature-vector-row-index has 1,912 entries (1,967 at peak, 2,157 added, 245 deleted).
% 5.54/5.72 ; Feature-vector-row-index has 13,095 nodes (13,928 at peak, 15,086 added, 1,991 deleted).
% 5.54/5.72 ; Retrieved 9,871 possibly forward subsuming rows in 2,267 calls.
% 5.54/5.72 ; Retrieved 2,331 possibly backward subsumed rows in 2,157 calls.
% 5.54/5.72 ; Path-index has 15,291 entries (15,291 at peak, 16,560 added, 1,269 deleted).
% 5.54/5.72 ; Path-index has 2,733 nodes (2,733 at peak, 2,858 added, 125 deleted).
% 5.54/5.72 ; Trie-index has 15,291 entries (15,291 at peak, 16,560 added, 1,269 deleted).
% 5.54/5.72 ; Trie-index has 70,526 nodes (70,526 at peak, 75,554 added, 5,028 deleted).
% 5.54/5.72 ; Retrieved 28,054 generalization terms in 117,714 calls.
% 5.54/5.72 ; Retrieved 5,068 instance terms in 5,064 calls.
% 5.54/5.72 ; Retrieved 9,438,260 unifiable terms in 221,992 calls.
% 5.54/5.72 ;
% 5.54/5.72 ; The agenda of rows to process has 6 entries:
% 5.54/5.72 ; 6 with value 13
% 5.54/5.72 ; The agenda of input rows to give has 3 entries:
% 5.54/5.72 ; 1 with value 10 2 with value 11
% 5.54/5.72 ; The agenda of rows to give has 6334 entries:
% 5.54/5.72 ; 1 with value (4 6) 359 with value (4 25) 104 with value (4 42)
% 5.54/5.72 ; 19 with value (4 8) 323 with value (4 26) 34 with value (4 43)
% 5.54/5.72 ; 19 with value (4 9) 308 with value (4 27) 80 with value (4 44)
% 5.54/5.72 ; 47 with value (4 10) 314 with value (4 28) 98 with value (4 45)
% 5.54/5.72 ; 91 with value (4 11) 295 with value (4 29) 80 with value (4 46)
% 5.54/5.72 ; 116 with value (4 12) 114 with value (4 30) 44 with value (4 47)
% 5.54/5.72 ; 153 with value (4 13) 99 with value (4 31) 65 with value (4 48)
% 5.54/5.72 ; 77 with value (4 14) 177 with value (4 32) 55 with value (4 49)
% 5.54/5.72 ; 115 with value (4 15) 149 with value (4 33) 57 with value (4 50)
% 5.54/5.72 ; 126 with value (4 16) 49 with value (4 34) 31 with value (4 51)
% 5.54/5.72 ; 211 with value (4 17) 19 with value (4 35) 89 with value (4 52)
% 5.54/5.72 ; 159 with value (4 18) 25 with value (4 36) 18 with value (4 53)
% 5.54/5.72 ; 166 with value (4 19) 75 with value (4 37) 36 with value (4 54)
% 5.54/5.72 ; 241 with value (4 20) 69 with value (4 38) 13 with value (4 55)
% 5.54/5.72 ; 282 with value (4 21) 50 with value (4 39) 38 with value (4 56)
% 5.54/5.72 ; 379 with value (4 22) 39 with value (4 40) 18 with value (4 57)
% 5.54/5.72 ; 310 with value (4 23) 94 with value (4 41) 36 with value (4 60)
% 5.54/5.72 ; 368 with value (4 24)
% 5.54/5.72 Evaluation took:
% 5.54/5.72 5.24 seconds of real time
% 5.54/5.72 5.047304 seconds of user run time
% 5.54/5.72 0.193425 seconds of system run time
% 5.54/5.72 [Run times include 0.472 seconds GC run time.]
% 5.54/5.72 0 calls to %EVAL
% 5.54/5.72 0 page faults and
% 5.54/5.72 381,577,928 bytes consed.
% 5.54/5.72 :PROOF-FOUND
% 5.54/5.72 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T03:22:49
% 5.54/5.72 :PROOF-FOUND
% 5.54/5.72 *
%------------------------------------------------------------------------------