TSTP Solution File: RNG079+1 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG079+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n018.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 8.52s 8.70s
% Output : Refutation 8.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 20
% Syntax : Number of clauses : 44 ( 39 unt; 0 nHn; 44 RR)
% Number of literals : 59 ( 25 equ; 16 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 4 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 13 ( 13 usr; 11 con; 0-2 aty)
% Number of variables : 15 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(23,axiom,
( ~ aScalar0(X)
| ~ aScalar0(Y)
| ~ aScalar0(Z)
| sdtasdt0(sdtasdt0(X,Y),Z) = sdtasdt0(X,sdtasdt0(Y,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
cnf(24,axiom,
( ~ aScalar0(X)
| ~ aScalar0(Y)
| ~ aScalar0(Z)
| sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mArith) ).
cnf(25,plain,
( ~ aScalar0(X)
| ~ aScalar0(Y)
| sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
inference('CONDENSE',[status(thm)],[24]) ).
cnf(26,axiom,
( ~ aScalar0(X)
| ~ aScalar0(Y)
| ~ aScalar0(Z)
| sdtasdt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr) ).
cnf(28,axiom,
( ~ aScalar0(X)
| ~ aScalar0(Y)
| ~ aScalar0(Z)
| ~ aScalar0(U)
| sdtasdt0(sdtpldt0(X,Y),sdtpldt0(Z,U)) = sdtpldt0(sdtpldt0(sdtasdt0(X,Z),sdtasdt0(X,U)),sdtpldt0(sdtasdt0(Y,Z),sdtasdt0(Y,U))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDistr2) ).
cnf(63,hypothesis,
aScalar0(xA),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
cnf(65,hypothesis,
aScalar0(xB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
cnf(68,hypothesis,
aScalar0(xC),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1783) ).
cnf(70,hypothesis,
aScalar0(xD),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1800) ).
cnf(72,hypothesis,
aScalar0(xE),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
cnf(74,hypothesis,
aScalar0(xF),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
cnf(75,hypothesis,
xF = sdtasdt0(xA,xA),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
cnf(76,hypothesis,
aScalar0(xG),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
cnf(77,hypothesis,
xG = sdtasdt0(xB,xB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1854) ).
cnf(78,hypothesis,
aScalar0(xH),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
cnf(79,hypothesis,
xH = sdtasdt0(xA,xB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
cnf(81,hypothesis,
xR = sdtasdt0(xC,xG),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
cnf(83,hypothesis,
xP = sdtasdt0(xE,xH),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
cnf(85,hypothesis,
xS = sdtasdt0(xF,xD),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
cnf(93,hypothesis,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),sdtasdt0(xE,xH)),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),sdtasdt0(xC,xG)),sdtpldt0(sdtasdt0(xF,xD),sdtasdt0(xF,xG)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2905) ).
cnf(94,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(sdtasdt0(xH,xE),sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
inference('REWRITE',[status(thm)],[93,85,81,83,theory(equality)]) ).
cnf(95,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(696,plain,
sdtasdt0(xH,xE) = xP,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[25,78,72]),83,theory(equality)]) ).
cnf(698,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xH,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
inference('REWRITE',[status(thm)],[94,696,theory(equality)]) ).
cnf(701,plain,
sdtasdt0(xH,xB) = sdtasdt0(xB,xH),
inference('HYPERRESOLVE',[status(thm)],[25,78,65]) ).
cnf(723,plain,
sdtasdt0(xB,xA) = xH,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[25,65,63]),79,theory(equality)]) ).
cnf(3965,plain,
sdtasdt0(sdtasdt0(xH,xB),xA) = sdtasdt0(xH,xH),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[23,78,65,63]),723,theory(equality)]) ).
cnf(4132,plain,
sdtasdt0(sdtasdt0(xG,xA),xA) = sdtasdt0(xG,xF),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[23,76,63,63]),75,theory(equality)]) ).
cnf(4890,plain,
sdtasdt0(xG,xA) = sdtasdt0(xB,xH),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[23,65,65,63]),723,77,theory(equality)]) ).
cnf(4891,plain,
sdtasdt0(xH,xB) = sdtasdt0(xG,xA),
inference('REWRITE',[status(thm)],[701,4890,theory(equality)]) ).
cnf(4909,plain,
sdtasdt0(xG,xF) = sdtasdt0(xH,xH),
inference('REWRITE',[status(thm)],[3965,4132,4891,theory(equality)]) ).
cnf(4913,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtpldt0(xP,sdtasdt0(xG,xF))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
inference('REWRITE',[status(thm)],[698,4909,theory(equality)]) ).
cnf(6087,plain,
sdtasdt0(xH,sdtpldt0(xE,xH)) = sdtpldt0(xP,sdtasdt0(xG,xF)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,78,72,78]),4909,696,theory(equality)]) ).
cnf(6090,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtasdt0(xH,sdtpldt0(xE,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtpldt0(xS,sdtasdt0(xF,xG)))),
inference('REWRITE',[status(thm)],[4913,6087,theory(equality)]) ).
cnf(6535,plain,
sdtasdt0(xF,sdtpldt0(xD,xG)) = sdtpldt0(xS,sdtasdt0(xF,xG)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,74,70,76]),85,theory(equality)]) ).
cnf(6536,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xE,xE),xP),sdtasdt0(xH,sdtpldt0(xE,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtasdt0(xF,sdtpldt0(xD,xG)))),
inference('REWRITE',[status(thm)],[6090,6535,theory(equality)]) ).
cnf(6720,plain,
sdtasdt0(xE,sdtpldt0(xE,xH)) = sdtpldt0(sdtasdt0(xE,xE),xP),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,72,72,78]),83,theory(equality)]) ).
cnf(6721,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,sdtpldt0(xE,xH)),sdtasdt0(xH,sdtpldt0(xE,xH))),sdtpldt0(sdtpldt0(sdtasdt0(xC,xD),xR),sdtasdt0(xF,sdtpldt0(xD,xG)))),
inference('REWRITE',[status(thm)],[6536,6720,theory(equality)]) ).
cnf(7067,plain,
sdtasdt0(xC,sdtpldt0(xD,xG)) = sdtpldt0(sdtasdt0(xC,xD),xR),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,68,70,76]),81,theory(equality)]) ).
cnf(7068,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xE,sdtpldt0(xE,xH)),sdtasdt0(xH,sdtpldt0(xE,xH))),sdtpldt0(sdtasdt0(xC,sdtpldt0(xD,xG)),sdtasdt0(xF,sdtpldt0(xD,xG)))),
inference('REWRITE',[status(thm)],[6721,7067,theory(equality)]) ).
cnf(23584,plain,
sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)) = sdtpldt0(sdtasdt0(xE,sdtpldt0(xE,xH)),sdtasdt0(xH,sdtpldt0(xE,xH))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[28,72,78,72,78]),6087,4909,696,6720,83,theory(equality)]) ).
cnf(23585,plain,
sdtlseqdt0(sdtasdt0(sdtpldt0(xE,xH),sdtpldt0(xE,xH)),sdtpldt0(sdtasdt0(xC,sdtpldt0(xD,xG)),sdtasdt0(xF,sdtpldt0(xD,xG)))),
inference('REWRITE',[status(thm)],[7068,23584,theory(equality)]) ).
cnf(27574,plain,
sdtasdt0(sdtpldt0(xC,xF),sdtpldt0(xD,xG)) = sdtpldt0(sdtasdt0(xC,sdtpldt0(xD,xG)),sdtasdt0(xF,sdtpldt0(xD,xG))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[28,68,74,70,76]),6535,85,7067,81,theory(equality)]) ).
cnf(27575,plain,
$false,
inference('REWRITE',[status(thm)],[23585,95,27574,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12 % Problem : RNG079+1 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.13 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n018.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Mon May 30 11:55:42 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.47 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48 *
% 0.20/0.48 *
% 0.20/0.48 #<PACKAGE "SNARK-USER">
% 0.20/0.48 *
% 0.20/0.48 SNARK-TPTP-OPTIONS
% 0.20/0.48 *
% 0.20/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48 (USE-FACTORING :POS)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T11:55:42
% 0.20/0.49 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n018.cluster.edu at 2022-05-30T11:55:42
% 8.52/8.70
% 8.52/8.70
% 8.52/8.70 #||
% 8.52/8.70 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.52/8.70 % SZS output start Refutation
% See solution above
% 8.52/8.71 ||#
% 8.52/8.71
% 8.52/8.71 ; Summary of computation:
% 8.52/8.71 ; 78598 formulas have been input or derived (from 92 formulas).
% 8.52/8.71 ; 27575 (35%) were retained. Of these,
% 8.52/8.71 ; 862 ( 3%) were simplified or subsumed later,
% 8.52/8.71 ; 26713 (97%) are still being kept.
% 8.52/8.71 ;
% 8.52/8.71 ; Run time in seconds excluding printing time:
% 8.52/8.71 ; 0.014 0% Read assertion file (1 call)
% 8.52/8.71 ; 0.003 0% Assert (61 calls)
% 8.52/8.71 ; 3.401 41% Process new row (42,340 calls)
% 8.52/8.71 ; 2.712 33% Resolution (182 calls)
% 8.52/8.71 ; 0.006 0% Paramodulation (91 calls)
% 8.52/8.71 ; 0.002 0% Condensing (226 calls)
% 8.52/8.71 ; 0.001 0% Forward subsumption (226 calls)
% 8.52/8.71 ; 0.002 0% Backward subsumption (150 calls)
% 8.52/8.71 ; 0.000 0% Clause clause subsumption (122 calls)
% 8.52/8.71 ; 1.575 19% Forward simplification (42,340 calls)
% 8.52/8.71 ; 0.219 3% Backward simplification (27,570 calls)
% 8.52/8.71 ; 0.105 1% Ordering (27,344 calls)
% 8.52/8.71 ; 0.000 0% Sortal reasoning (32 calls)
% 8.52/8.71 ; 0.000 0% Purity testing (1 call)
% 8.52/8.71 ; 0.178 2% Other
% 8.52/8.71 ; 8.218 Total
% 8.52/8.71 ; 8.222 Real time
% 8.52/8.71 ;
% 8.52/8.71 ; Term-hash-array has 77,184 terms in all.
% 8.52/8.71 ; Feature-vector-row-index has 145 entries (145 at peak, 150 added, 5 deleted).
% 8.52/8.71 ; Feature-vector-row-index has 515 nodes (515 at peak, 554 added, 39 deleted).
% 8.52/8.71 ; Retrieved 191 possibly forward subsuming rows in 226 calls.
% 8.52/8.71 ; Retrieved 48 possibly backward subsumed rows in 150 calls.
% 8.52/8.71 ; Path-index has 75,638 entries (75,639 at peak, 77,942 added, 2,304 deleted).
% 8.52/8.71 ; Path-index has 2,076 nodes (2,081 at peak, 2,408 added, 332 deleted).
% 8.52/8.71 ; Trie-index has 75,638 entries (75,639 at peak, 77,942 added, 2,304 deleted).
% 8.52/8.71 ; Trie-index has 379,849 nodes (379,860 at peak, 388,121 added, 8,272 deleted).
% 8.52/8.71 ; Retrieved 91,165 generalization terms in 440,179 calls.
% 8.52/8.71 ; Retrieved 27,422 instance terms in 27,419 calls.
% 8.52/8.71 ; Retrieved 7,019,469 unifiable terms in 272,642 calls.
% 8.52/8.71 ;
% 8.52/8.71 ; The agenda of rows to process has 36225 entries:
% 8.52/8.71 ; 36225 with value 28
% 8.52/8.71 ; The agenda of input rows to give has 2 entries:
% 8.52/8.71 ; 1 with value 41 1 with value 43
% 8.52/8.71 ; The agenda of rows to give has 26624 entries:
% 8.52/8.71 ; 17 with value (4 5) 142 with value (4 20) 50 with value (4 35)
% 8.52/8.71 ; 15 with value (4 6) 96 with value (4 21) 106 with value (4 36)
% 8.52/8.71 ; 269 with value (4 7) 119 with value (4 23) 39 with value (4 37)
% 8.52/8.71 ; 70 with value (4 8) 13481 with value (4 24) 187 with value (4 38)
% 8.52/8.71 ; 86 with value (4 9) 13 with value (4 25) 15 with value (4 39)
% 8.52/8.71 ; 184 with value (4 10) 923 with value (4 26) 6 with value (4 40)
% 8.52/8.71 ; 572 with value (4 11) 81 with value (4 27) 36 with value (4 41)
% 8.52/8.71 ; 2 with value (4 12) 41 with value (4 28) 8 with value (4 42)
% 8.52/8.71 ; 1182 with value (4 13) 470 with value (4 29) 28 with value (4 43)
% 8.52/8.71 ; 12 with value (4 14) 102 with value (4 30) 4 with value (4 44)
% 8.52/8.71 ; 3466 with value (4 15) 431 with value (4 31) 39 with value (4 45)
% 8.52/8.71 ; 4 with value (4 16) 191 with value (4 32) 2 with value (4 47)
% 8.52/8.71 ; 2602 with value (4 17) 85 with value (4 33) 2 with value (4 49)
% 8.52/8.71 ; 1367 with value (4 18) 74 with value (4 34) 1 with value (4 51)
% 8.52/8.71 ; 4 with value (4 19)
% 8.52/8.71 Evaluation took:
% 8.52/8.71 8.225 seconds of real time
% 8.52/8.71 7.759915 seconds of user run time
% 8.52/8.71 0.465038 seconds of system run time
% 8.52/8.71 [Run times include 1.877 seconds GC run time.]
% 8.52/8.71 0 calls to %EVAL
% 8.52/8.71 0 page faults and
% 8.52/8.71 666,758,784 bytes consed.
% 8.52/8.71 :PROOF-FOUND
% 8.52/8.71 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T11:55:50
% 8.52/8.71 :PROOF-FOUND
% 8.52/8.71 *
%------------------------------------------------------------------------------