TSTP Solution File: RNG082+1 by SNARK---20120808r022
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- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG082+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n019.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 20:40:44 EDT 2022
% Result : Theorem 3.52s 3.66s
% Output : Refutation 3.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 17
% Syntax : Number of clauses : 58 ( 45 unt; 0 nHn; 58 RR)
% Number of literals : 80 ( 45 equ; 23 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 22 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aElement0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
cnf(2,axiom,
aElement0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC_01) ).
cnf(3,axiom,
( ~ aElement0(X)
| aElement0(smndt0(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsU) ).
cnf(4,axiom,
( ~ aElement0(X)
| ~ aElement0(Y)
| aElement0(sdtpldt0(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
cnf(5,axiom,
( ~ aElement0(X)
| ~ aElement0(Y)
| aElement0(sdtasdt0(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB_02) ).
cnf(7,axiom,
( ~ aElement0(X)
| ~ aElement0(Y)
| ~ aElement0(Z)
| sdtpldt0(sdtpldt0(X,Y),Z) = sdtpldt0(X,sdtpldt0(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddAsso) ).
cnf(8,axiom,
( ~ aElement0(X)
| sdtpldt0(X,sz00) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
cnf(9,axiom,
( ~ aElement0(X)
| X = sdtpldt0(sz00,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddZero) ).
cnf(10,axiom,
( ~ aElement0(X)
| sdtpldt0(X,smndt0(X)) = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).
cnf(11,axiom,
( ~ aElement0(X)
| sz00 = sdtpldt0(smndt0(X),X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddInvr) ).
cnf(12,axiom,
( ~ aElement0(X)
| ~ aElement0(Y)
| sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulComm) ).
cnf(14,axiom,
( ~ aElement0(X)
| sdtasdt0(X,sz10) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulUnit) ).
cnf(15,axiom,
( ~ aElement0(X)
| X = sdtasdt0(sz10,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mMulUnit) ).
cnf(16,axiom,
( ~ aElement0(X)
| ~ aElement0(Y)
| ~ aElement0(Z)
| sdtasdt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
cnf(17,axiom,
( ~ aElement0(X)
| ~ aElement0(Y)
| ~ aElement0(Z)
| sdtasdt0(sdtpldt0(Y,Z),X) = sdtpldt0(sdtasdt0(Y,X),sdtasdt0(Z,X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
cnf(18,hypothesis,
aElement0(xx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__444) ).
cnf(19,negated_conjecture,
sdtasdt0(smndt0(sz10),xx) != smndt0(xx),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(20,plain,
aElement0(smndt0(xx)),
inference('HYPERRESOLVE',[status(thm)],[3,18]) ).
cnf(21,plain,
aElement0(smndt0(sz10)),
inference('HYPERRESOLVE',[status(thm)],[3,2]) ).
cnf(23,plain,
sdtpldt0(xx,sz00) = xx,
inference('HYPERRESOLVE',[status(thm)],[8,18]) ).
cnf(24,plain,
sdtpldt0(sz10,sz00) = sz10,
inference('HYPERRESOLVE',[status(thm)],[8,2]) ).
cnf(25,plain,
sdtpldt0(sz00,sz00) = sz00,
inference('HYPERRESOLVE',[status(thm)],[8,1]) ).
cnf(27,plain,
sz10 = sdtpldt0(sz00,sz10),
inference('HYPERRESOLVE',[status(thm)],[9,2]) ).
cnf(28,plain,
sdtasdt0(xx,sz10) = xx,
inference('HYPERRESOLVE',[status(thm)],[14,18]) ).
cnf(30,plain,
sdtasdt0(sz00,sz10) = sz00,
inference('HYPERRESOLVE',[status(thm)],[14,1]) ).
cnf(31,plain,
xx = sdtasdt0(sz10,xx),
inference('HYPERRESOLVE',[status(thm)],[15,18]) ).
cnf(32,plain,
sz00 = sdtasdt0(sz10,sz00),
inference('HYPERRESOLVE',[status(thm)],[15,1]) ).
cnf(34,plain,
aElement0(sdtpldt0(xx,sz10)),
inference('HYPERRESOLVE',[status(thm)],[4,18,2]) ).
cnf(36,plain,
aElement0(sdtpldt0(sz10,sz10)),
inference('HYPERRESOLVE',[status(thm)],[4,2,2]) ).
cnf(38,plain,
aElement0(sdtasdt0(xx,sz00)),
inference('HYPERRESOLVE',[status(thm)],[5,18,1]) ).
cnf(41,plain,
sdtpldt0(xx,smndt0(xx)) = sz00,
inference('HYPERRESOLVE',[status(thm)],[10,18]) ).
cnf(42,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference('HYPERRESOLVE',[status(thm)],[10,2]) ).
cnf(45,plain,
sz00 = sdtpldt0(smndt0(sz10),sz10),
inference('HYPERRESOLVE',[status(thm)],[11,2]) ).
cnf(95,plain,
xx = sdtpldt0(sdtasdt0(xx,sz00),xx),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,18,1,2]),28,27,theory(equality)]) ).
cnf(102,plain,
sdtasdt0(sz00,sdtpldt0(xx,sz10)) = sdtpldt0(sdtasdt0(sz00,xx),sz00),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,1,18,2]),30,theory(equality)]) ).
cnf(103,plain,
sdtasdt0(sz00,xx) = sdtpldt0(sdtasdt0(sz00,xx),sdtasdt0(sz00,sz00)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,1,18,1]),23,theory(equality)]) ).
cnf(125,plain,
sdtasdt0(sdtpldt0(xx,sz10),sz00) = sdtpldt0(sdtasdt0(xx,sz00),sz00),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,1,18,2]),32,theory(equality)]) ).
cnf(128,plain,
sdtasdt0(sdtpldt0(sz10,sz10),sz00) = sz00,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,1,2,2]),25,32,theory(equality)]) ).
cnf(145,plain,
smndt0(xx) = sdtpldt0(sz00,smndt0(xx)),
inference('HYPERRESOLVE',[status(thm)],[9,20]) ).
cnf(278,plain,
aElement0(sdtasdt0(smndt0(sz10),xx)),
inference('HYPERRESOLVE',[status(thm)],[5,21,18]) ).
cnf(297,plain,
sdtpldt0(smndt0(sz10),sz00) = smndt0(sz10),
inference('HYPERRESOLVE',[status(thm)],[8,21]) ).
cnf(338,plain,
sdtpldt0(sdtpldt0(sz10,sz10),smndt0(sz10)) = sz10,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,21,2,2]),24,42,theory(equality)]) ).
cnf(360,plain,
sdtasdt0(sz00,xx) = sdtpldt0(sdtasdt0(smndt0(sz10),xx),xx),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,21,18,2]),31,45,theory(equality)]) ).
cnf(364,plain,
sdtasdt0(sz00,sz00) = sdtpldt0(sdtasdt0(smndt0(sz10),sz00),sz00),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,21,1,2]),32,45,theory(equality)]) ).
cnf(365,plain,
sdtasdt0(smndt0(sz10),sz00) = sdtpldt0(sdtasdt0(smndt0(sz10),sz00),sdtasdt0(sz00,sz00)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,21,1,1]),297,theory(equality)]) ).
cnf(396,plain,
sdtasdt0(sz00,sz00) = sdtpldt0(sz00,sdtasdt0(smndt0(sz10),sz00)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,21,1,2]),32,42,theory(equality)]) ).
cnf(433,plain,
sdtasdt0(smndt0(sz10),xx) = sdtpldt0(sdtasdt0(smndt0(sz10),xx),sdtasdt0(smndt0(sz10),sz00)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,21,18,1]),23,theory(equality)]) ).
cnf(563,plain,
sdtasdt0(sdtpldt0(xx,sz10),sz00) = sdtasdt0(sz00,sdtpldt0(xx,sz10)),
inference('HYPERRESOLVE',[status(thm)],[12,34,1]) ).
cnf(1521,plain,
sz00 = sdtasdt0(sz00,sz00),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[17,36,1,21]),396,128,32,338,theory(equality)]) ).
cnf(1524,plain,
sdtasdt0(sz00,xx) = sdtasdt0(sz00,sdtpldt0(xx,sz10)),
inference('REWRITE',[status(thm)],[103,102,1521,theory(equality)]) ).
cnf(1526,plain,
sdtasdt0(sdtpldt0(xx,sz10),sz00) = sdtasdt0(sz00,xx),
inference('REWRITE',[status(thm)],[563,1524,theory(equality)]) ).
cnf(1527,plain,
sdtasdt0(sz00,xx) = sdtpldt0(sdtasdt0(xx,sz00),sz00),
inference('REWRITE',[status(thm)],[125,1526,theory(equality)]) ).
cnf(1662,plain,
sz00 = sdtpldt0(sdtasdt0(smndt0(sz10),sz00),sz00),
inference('REWRITE',[status(thm)],[364,1521,theory(equality)]) ).
cnf(1663,plain,
sdtasdt0(smndt0(sz10),sz00) = sz00,
inference('REWRITE',[status(thm)],[365,1662,1521,theory(equality)]) ).
cnf(1703,plain,
sdtasdt0(smndt0(sz10),xx) = sdtpldt0(sdtasdt0(smndt0(sz10),xx),sz00),
inference('REWRITE',[status(thm)],[433,1663,theory(equality)]) ).
cnf(3094,plain,
sz00 = sdtasdt0(sz00,xx),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,38,18,20]),1527,41,95,theory(equality)]) ).
cnf(3207,plain,
sz00 = sdtpldt0(sdtasdt0(smndt0(sz10),xx),xx),
inference('REWRITE',[status(thm)],[360,3094,theory(equality)]) ).
cnf(11080,plain,
$false,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[7,278,18,20]),19,1703,41,145,3207,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG082+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.14/0.34 % Computer : n019.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 600
% 0.14/0.34 % DateTime : Mon May 30 05:22:40 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T05:22:41
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n019.cluster.edu at 2022-05-30T05:22:41
% 3.52/3.66
% 3.52/3.66
% 3.52/3.66 #||
% 3.52/3.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.52/3.66 % SZS output start Refutation
% See solution above
% 3.52/3.66 ||#
% 3.52/3.66
% 3.52/3.66 ; Summary of computation:
% 3.52/3.66 ; 42379 formulas have been input or derived (from 55 formulas).
% 3.52/3.66 ; 11080 (26%) were retained. Of these,
% 3.52/3.66 ; 1896 (17%) were simplified or subsumed later,
% 3.52/3.66 ; 9184 (83%) are still being kept.
% 3.52/3.66 ;
% 3.52/3.66 ; Run time in seconds excluding printing time:
% 3.52/3.66 ; 0.004 0% Read assertion file (1 call)
% 3.52/3.66 ; 0.001 0% Assert (16 calls)
% 3.52/3.66 ; 1.105 35% Process new row (37,071 calls)
% 3.52/3.66 ; 0.573 18% Resolution (108 calls)
% 3.52/3.66 ; 0.001 0% Paramodulation (54 calls)
% 3.52/3.66 ; 0.000 0% Condensing (15 calls)
% 3.52/3.66 ; 0.000 0% Forward subsumption (15 calls)
% 3.52/3.66 ; 0.000 0% Backward subsumption (15 calls)
% 3.52/3.66 ; 0.000 0% Clause clause subsumption (14 calls)
% 3.52/3.66 ; 1.000 31% Forward simplification (29,329 calls)
% 3.52/3.66 ; 0.278 9% Backward simplification (11,080 calls)
% 3.52/3.66 ; 0.073 2% Ordering (10,850 calls)
% 3.52/3.66 ; 0.000 0% Sortal reasoning (32 calls)
% 3.52/3.66 ; 0.000 0% Purity testing (1 call)
% 3.52/3.66 ; 0.151 5% Other
% 3.52/3.66 ; 3.186 Total
% 3.52/3.66 ; 3.190 Real time
% 3.52/3.67 ;
% 3.52/3.67 ; Term-hash-array has 24,661 terms in all.
% 3.52/3.67 ; Feature-vector-row-index has 15 entries (15 at peak, 15 added, 0 deleted).
% 3.52/3.67 ; Feature-vector-row-index has 39 nodes (39 at peak, 39 added, 0 deleted).
% 3.52/3.67 ; Retrieved 10 possibly forward subsuming rows in 15 calls.
% 3.52/3.67 ; Retrieved 4 possibly backward subsumed rows in 15 calls.
% 3.52/3.67 ; Path-index has 21,698 entries (21,698 at peak, 25,607 added, 3,909 deleted).
% 3.52/3.67 ; Path-index has 1,865 nodes (1,865 at peak, 2,056 added, 191 deleted).
% 3.52/3.67 ; Trie-index has 21,698 entries (21,698 at peak, 25,607 added, 3,909 deleted).
% 3.52/3.67 ; Trie-index has 142,118 nodes (142,118 at peak, 161,898 added, 19,780 deleted).
% 3.52/3.67 ; Retrieved 55,838 generalization terms in 273,004 calls.
% 3.52/3.67 ; Retrieved 11,083 instance terms in 11,064 calls.
% 3.52/3.67 ; Retrieved 501,588 unifiable terms in 29,168 calls.
% 3.52/3.67 ;
% 3.52/3.67 ; The agenda of rows to process has 5287 entries:
% 3.52/3.67 ; 203 with value 27 176 with value 34 60 with value 41
% 3.52/3.67 ; 8 with value 28 616 with value 35 332 with value 42
% 3.52/3.67 ; 384 with value 29 384 with value 36 32 with value 43
% 3.52/3.67 ; 84 with value 30 524 with value 37 80 with value 44
% 3.52/3.67 ; 648 with value 31 264 with value 38 40 with value 45
% 3.52/3.67 ; 80 with value 32 304 with value 39 4 with value 46
% 3.52/3.67 ; 720 with value 33 336 with value 40 8 with value 47
% 3.52/3.67 ; The agenda of rows to give has 9133 entries:
% 3.52/3.67 ; 7 with value (4 10) 327 with value (4 23) 557 with value (4 35)
% 3.52/3.67 ; 29 with value (4 11) 275 with value (4 24) 283 with value (4 36)
% 3.52/3.67 ; 34 with value (4 12) 365 with value (4 25) 448 with value (4 37)
% 3.52/3.67 ; 57 with value (4 13) 321 with value (4 26) 336 with value (4 38)
% 3.52/3.67 ; 49 with value (4 14) 696 with value (4 27) 129 with value (4 39)
% 3.52/3.67 ; 77 with value (4 15) 282 with value (4 28) 246 with value (4 40)
% 3.52/3.67 ; 164 with value (4 16) 696 with value (4 29) 109 with value (4 41)
% 3.52/3.67 ; 137 with value (4 17) 328 with value (4 30) 91 with value (4 42)
% 3.52/3.67 ; 126 with value (4 18) 578 with value (4 31) 28 with value (4 43)
% 3.52/3.67 ; 155 with value (4 19) 377 with value (4 32) 25 with value (4 44)
% 3.52/3.67 ; 256 with value (4 20) 785 with value (4 33) 2 with value (4 45)
% 3.52/3.67 ; 259 with value (4 21) 374 with value (4 34) 1 with value (4 46)
% 3.52/3.67 ; 124 with value (4 22)
% 3.52/3.67 Evaluation took:
% 3.52/3.67 3.192 seconds of real time
% 3.52/3.67 2.949194 seconds of user run time
% 3.52/3.67 0.242101 seconds of system run time
% 3.52/3.67 [Run times include 0.613 seconds GC run time.]
% 3.52/3.67 0 calls to %EVAL
% 3.52/3.67 0 page faults and
% 3.52/3.67 256,892,568 bytes consed.
% 3.52/3.67 :PROOF-FOUND
% 3.52/3.67 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T05:22:44
% 3.52/3.67 :PROOF-FOUND
% 3.52/3.67 *
%------------------------------------------------------------------------------