TSTP Solution File: RNG069+2 by SNARK---20120808r022
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG069+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.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 20:40:42 EDT 2022
% Result : Theorem 6.73s 6.90s
% Output : Refutation 6.73s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 15
% Syntax : Number of clauses : 42 ( 38 unt; 0 nHn; 42 RR)
% Number of literals : 54 ( 22 equ; 15 neg)
% Maximal clause size : 5 ( 1 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 8 con; 0-2 aty)
% Number of variables : 12 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
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(68,hypothesis,
aScalar0(xA),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1746) ).
cnf(70,hypothesis,
aScalar0(xB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1766) ).
cnf(77,hypothesis,
aScalar0(xE),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1820) ).
cnf(83,hypothesis,
aScalar0(xH),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
cnf(84,hypothesis,
xH = sdtasdt0(xA,xB),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1873) ).
cnf(85,hypothesis,
aScalar0(xR),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1892) ).
cnf(87,hypothesis,
aScalar0(xP),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
cnf(88,hypothesis,
xP = sdtasdt0(xE,xH),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1911) ).
cnf(89,hypothesis,
aScalar0(xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1930) ).
cnf(92,hypothesis,
xN = sdtasdt0(xR,xS),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1949) ).
cnf(98,hypothesis,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),sdtasdt0(xR,xS)),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2580) ).
cnf(99,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(sdtasdt0(xS,xR),sdtasdt0(xS,xS)))),
inference('REWRITE',[status(thm)],[98,92,theory(equality)]) ).
cnf(100,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(675,plain,
sdtasdt0(xS,xR) = xN,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[25,89,85]),92,theory(equality)]) ).
cnf(676,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtpldt0(xN,sdtasdt0(xS,xS)))),
inference('REWRITE',[status(thm)],[99,675,theory(equality)]) ).
cnf(704,plain,
sdtasdt0(xH,xE) = xP,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[25,83,77]),88,theory(equality)]) ).
cnf(729,plain,
sdtasdt0(xB,xA) = xH,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[25,70,68]),84,theory(equality)]) ).
cnf(5536,plain,
sdtasdt0(xS,sdtpldt0(xR,xS)) = sdtpldt0(xN,sdtasdt0(xS,xS)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,89,85,89]),675,theory(equality)]) ).
cnf(5537,plain,
sdtlseqdt0(sdtpldt0(sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtasdt0(xS,sdtpldt0(xR,xS)))),
inference('REWRITE',[status(thm)],[676,5536,theory(equality)]) ).
cnf(5691,plain,
sdtasdt0(xP,sdtpldt0(xP,xP)) = sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),
inference('HYPERRESOLVE',[status(thm)],[26,87,87,87]) ).
cnf(5694,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,sdtpldt0(xP,xP)),sdtasdt0(xP,sdtpldt0(xP,xP))),sdtpldt0(sdtpldt0(sdtasdt0(xR,xR),xN),sdtasdt0(xS,sdtpldt0(xR,xS)))),
inference('REWRITE',[status(thm)],[5537,5691,theory(equality)]) ).
cnf(5873,plain,
sdtasdt0(xR,sdtpldt0(xR,xS)) = sdtpldt0(sdtasdt0(xR,xR),xN),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,85,85,89]),92,theory(equality)]) ).
cnf(5875,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,sdtpldt0(xP,xP)),sdtasdt0(xP,sdtpldt0(xP,xP))),sdtpldt0(sdtasdt0(xR,sdtpldt0(xR,xS)),sdtasdt0(xS,sdtpldt0(xR,xS)))),
inference('REWRITE',[status(thm)],[5694,5873,theory(equality)]) ).
cnf(6100,plain,
sdtasdt0(xH,sdtpldt0(xE,xE)) = sdtpldt0(xP,xP),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,83,77,77]),704,theory(equality)]) ).
cnf(6101,plain,
~ sdtlseqdt0(sdtasdt0(sdtasdt0(xH,sdtpldt0(xE,xE)),sdtasdt0(xH,sdtpldt0(xE,xE))),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference('REWRITE',[status(thm)],[100,6100,theory(equality)]) ).
cnf(6130,plain,
sdtasdt0(xP,sdtasdt0(xH,sdtpldt0(xE,xE))) = sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),
inference('REWRITE',[status(thm)],[5691,6100,theory(equality)]) ).
cnf(6134,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,sdtasdt0(xH,sdtpldt0(xE,xE))),sdtasdt0(xP,sdtasdt0(xH,sdtpldt0(xE,xE)))),sdtpldt0(sdtasdt0(xR,sdtpldt0(xR,xS)),sdtasdt0(xS,sdtpldt0(xR,xS)))),
inference('REWRITE',[status(thm)],[5875,6100,theory(equality)]) ).
cnf(6689,plain,
sdtasdt0(xE,sdtpldt0(xH,xH)) = sdtasdt0(xH,sdtpldt0(xE,xE)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,77,83,83]),6100,88,theory(equality)]) ).
cnf(7467,plain,
sdtasdt0(xB,sdtpldt0(xA,xA)) = sdtpldt0(xH,xH),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,70,68,68]),729,theory(equality)]) ).
cnf(7500,plain,
sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA))) = sdtasdt0(xH,sdtpldt0(xE,xE)),
inference('REWRITE',[status(thm)],[6689,7467,theory(equality)]) ).
cnf(7501,plain,
sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA))) = sdtpldt0(xP,xP),
inference('REWRITE',[status(thm)],[6100,7500,theory(equality)]) ).
cnf(7502,plain,
~ sdtlseqdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA))),sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA)))),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference('REWRITE',[status(thm)],[6101,7500,theory(equality)]) ).
cnf(7531,plain,
sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA)))) = sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),
inference('REWRITE',[status(thm)],[6130,7500,theory(equality)]) ).
cnf(7535,plain,
sdtlseqdt0(sdtpldt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA)))),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA))))),sdtpldt0(sdtasdt0(xR,sdtpldt0(xR,xS)),sdtasdt0(xS,sdtpldt0(xR,xS)))),
inference('REWRITE',[status(thm)],[6134,7500,theory(equality)]) ).
cnf(14012,plain,
sdtasdt0(sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA))),sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA)))) = sdtpldt0(sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA)))),sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA))))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[28,87,87,87,87]),7531,7501,theory(equality)]) ).
cnf(14013,plain,
sdtlseqdt0(sdtasdt0(sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA))),sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA)))),sdtpldt0(sdtasdt0(xR,sdtpldt0(xR,xS)),sdtasdt0(xS,sdtpldt0(xR,xS)))),
inference('REWRITE',[status(thm)],[7535,14012,theory(equality)]) ).
cnf(15729,plain,
sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS)) = sdtpldt0(sdtasdt0(xR,sdtpldt0(xR,xS)),sdtasdt0(xS,sdtpldt0(xR,xS))),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[28,85,89,85,89]),5536,675,5873,92,theory(equality)]) ).
cnf(15730,plain,
$false,
inference('REWRITE',[status(thm)],[14013,7502,15729,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : RNG069+2 : TPTP v8.1.0. Released v4.0.0.
% 0.10/0.11 % Command : run-snark %s %d
% 0.11/0.30 % Computer : n028.cluster.edu
% 0.11/0.30 % Model : x86_64 x86_64
% 0.11/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.30 % Memory : 8042.1875MB
% 0.11/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.30 % CPULimit : 300
% 0.11/0.30 % WCLimit : 600
% 0.11/0.30 % DateTime : Mon May 30 19:29:35 EDT 2022
% 0.11/0.30 % CPUTime :
% 0.16/0.43 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/0.44 *
% 0.16/0.44 *
% 0.16/0.45 #<PACKAGE "SNARK-USER">
% 0.16/0.45 *
% 0.16/0.45 SNARK-TPTP-OPTIONS
% 0.16/0.45 *
% 0.16/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.16/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.16/0.45 (USE-FACTORING :POS)
% 0.16/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.16/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.16/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.16/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.16/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.16/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.16/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.16/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.16/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.16/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.16/0.45 *
% 0.16/0.45 "."
% 0.16/0.45 *
% 0.16/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T19:29:35
% 0.16/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-05-30T19:29:35
% 6.73/6.90
% 6.73/6.90
% 6.73/6.90 #||
% 6.73/6.90 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.73/6.90 % SZS output start Refutation
% See solution above
% 6.73/6.90 ||#
% 6.73/6.90
% 6.73/6.90 ; Summary of computation:
% 6.73/6.90 ; 78609 formulas have been input or derived (from 96 formulas).
% 6.73/6.90 ; 15730 (20%) were retained. Of these,
% 6.73/6.90 ; 856 ( 5%) were simplified or subsumed later,
% 6.73/6.90 ; 14874 (95%) are still being kept.
% 6.73/6.90 ;
% 6.73/6.90 ; Run time in seconds excluding printing time:
% 6.73/6.90 ; 0.010 0% Read assertion file (1 call)
% 6.73/6.90 ; 0.002 0% Assert (62 calls)
% 6.73/6.90 ; 1.596 25% Process new row (28,253 calls)
% 6.73/6.90 ; 3.231 50% Resolution (190 calls)
% 6.73/6.90 ; 0.010 0% Paramodulation (95 calls)
% 6.73/6.90 ; 0.001 0% Condensing (234 calls)
% 6.73/6.90 ; 0.001 0% Forward subsumption (234 calls)
% 6.73/6.90 ; 0.001 0% Backward subsumption (155 calls)
% 6.73/6.90 ; 0.000 0% Clause clause subsumption (126 calls)
% 6.73/6.90 ; 1.243 19% Forward simplification (28,253 calls)
% 6.73/6.90 ; 0.164 3% Backward simplification (15,725 calls)
% 6.73/6.90 ; 0.062 1% Ordering (15,493 calls)
% 6.73/6.90 ; 0.000 0% Sortal reasoning (32 calls)
% 6.73/6.90 ; 0.000 0% Purity testing (1 call)
% 6.73/6.90 ; 0.127 2% Other
% 6.73/6.90 ; 6.448 Total
% 6.73/6.90 ; 6.454 Real time
% 6.73/6.90 ;
% 6.73/6.90 ; Term-hash-array has 42,803 terms in all.
% 6.73/6.90 ; Feature-vector-row-index has 149 entries (149 at peak, 155 added, 6 deleted).
% 6.73/6.90 ; Feature-vector-row-index has 545 nodes (545 at peak, 589 added, 44 deleted).
% 6.73/6.90 ; Retrieved 195 possibly forward subsuming rows in 234 calls.
% 6.73/6.90 ; Retrieved 48 possibly backward subsumed rows in 155 calls.
% 6.73/6.90 ; Path-index has 41,264 entries (41,265 at peak, 43,549 added, 2,285 deleted).
% 6.73/6.90 ; Path-index has 2,139 nodes (2,143 at peak, 2,495 added, 356 deleted).
% 6.73/6.90 ; Trie-index has 41,264 entries (41,265 at peak, 43,549 added, 2,285 deleted).
% 6.73/6.90 ; Trie-index has 174,652 nodes (174,663 at peak, 182,858 added, 8,206 deleted).
% 6.73/6.90 ; Retrieved 44,712 generalization terms in 229,925 calls.
% 6.73/6.90 ; Retrieved 15,572 instance terms in 15,569 calls.
% 6.73/6.90 ; Retrieved 7,037,612 unifiable terms in 274,291 calls.
% 6.73/6.90 ;
% 6.73/6.90 ; The agenda of rows to process has 50321 entries:
% 6.73/6.90 ; 50321 with value 28
% 6.73/6.90 ; The agenda of input rows to give has 2 entries:
% 6.73/6.90 ; 1 with value 41 1 with value 43
% 6.73/6.90 ; The agenda of rows to give has 14781 entries:
% 6.73/6.90 ; 17 with value (4 5) 1 with value (4 19) 20 with value (4 35)
% 6.73/6.90 ; 15 with value (4 6) 142 with value (4 20) 24 with value (4 36)
% 6.73/6.90 ; 269 with value (4 7) 96 with value (4 21) 32 with value (4 37)
% 6.73/6.90 ; 70 with value (4 8) 76 with value (4 23) 78 with value (4 38)
% 6.73/6.90 ; 86 with value (4 9) 4454 with value (4 24) 8 with value (4 39)
% 6.73/6.90 ; 183 with value (4 10) 13 with value (4 25) 4 with value (4 40)
% 6.73/6.90 ; 572 with value (4 11) 19 with value (4 26) 11 with value (4 41)
% 6.73/6.90 ; 2 with value (4 12) 27 with value (4 28) 6 with value (4 42)
% 6.73/6.90 ; 1182 with value (4 13) 280 with value (4 29) 17 with value (4 43)
% 6.73/6.90 ; 12 with value (4 14) 48 with value (4 30) 4 with value (4 44)
% 6.73/6.90 ; 3466 with value (4 15) 119 with value (4 31) 11 with value (4 45)
% 6.73/6.90 ; 4 with value (4 16) 153 with value (4 32) 1 with value (4 47)
% 6.73/6.90 ; 2603 with value (4 17) 31 with value (4 33) 1 with value (4 49)
% 6.73/6.90 ; 585 with value (4 18) 38 with value (4 34) 1 with value (4 51)
% 6.73/6.90 Evaluation took:
% 6.73/6.90 6.457 seconds of real time
% 6.73/6.90 6.127363 seconds of user run time
% 6.73/6.90 0.327156 seconds of system run time
% 6.73/6.90 [Run times include 1.145 seconds GC run time.]
% 6.73/6.90 0 calls to %EVAL
% 6.73/6.90 0 page faults and
% 6.73/6.90 462,910,032 bytes consed.
% 6.73/6.90 :PROOF-FOUND
% 6.73/6.90 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-05-30T19:29:41
% 6.73/6.90 :PROOF-FOUND
% 6.73/6.90 *
%------------------------------------------------------------------------------