%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG069+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n017.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 5.64s 5.85s
% Output : Refutation 5.64s
% 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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p',mDistr2) ).
cnf(63,hypothesis,
aScalar0(xA),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1746) ).
cnf(65,hypothesis,
aScalar0(xB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1766) ).
cnf(72,hypothesis,
aScalar0(xE),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1820) ).
cnf(78,hypothesis,
aScalar0(xH),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
cnf(79,hypothesis,
xH = sdtasdt0(xA,xB),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1873) ).
cnf(80,hypothesis,
aScalar0(xR),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1892) ).
cnf(82,hypothesis,
aScalar0(xP),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
cnf(83,hypothesis,
xP = sdtasdt0(xE,xH),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1911) ).
cnf(84,hypothesis,
aScalar0(xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1930) ).
cnf(87,hypothesis,
xN = sdtasdt0(xR,xS),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1949) ).
cnf(93,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/sandbox2/benchmark/theBenchmark.p',m__2580) ).
cnf(94,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)],[93,87,theory(equality)]) ).
cnf(95,negated_conjecture,
~ sdtlseqdt0(sdtasdt0(sdtpldt0(xP,xP),sdtpldt0(xP,xP)),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(668,plain,
sdtasdt0(xS,xR) = xN,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[25,84,80]),87,theory(equality)]) ).
cnf(669,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)],[94,668,theory(equality)]) ).
cnf(697,plain,
sdtasdt0(xH,xE) = xP,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[25,78,72]),83,theory(equality)]) ).
cnf(722,plain,
sdtasdt0(xB,xA) = xH,
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[25,65,63]),79,theory(equality)]) ).
cnf(5529,plain,
sdtasdt0(xS,sdtpldt0(xR,xS)) = sdtpldt0(xN,sdtasdt0(xS,xS)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,84,80,84]),668,theory(equality)]) ).
cnf(5530,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)],[669,5529,theory(equality)]) ).
cnf(5684,plain,
sdtasdt0(xP,sdtpldt0(xP,xP)) = sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),
inference('HYPERRESOLVE',[status(thm)],[26,82,82,82]) ).
cnf(5687,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)],[5530,5684,theory(equality)]) ).
cnf(5866,plain,
sdtasdt0(xR,sdtpldt0(xR,xS)) = sdtpldt0(sdtasdt0(xR,xR),xN),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,80,80,84]),87,theory(equality)]) ).
cnf(5868,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)],[5687,5866,theory(equality)]) ).
cnf(6093,plain,
sdtasdt0(xH,sdtpldt0(xE,xE)) = sdtpldt0(xP,xP),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,78,72,72]),697,theory(equality)]) ).
cnf(6094,plain,
~ sdtlseqdt0(sdtasdt0(sdtasdt0(xH,sdtpldt0(xE,xE)),sdtasdt0(xH,sdtpldt0(xE,xE))),sdtasdt0(sdtpldt0(xR,xS),sdtpldt0(xR,xS))),
inference('REWRITE',[status(thm)],[95,6093,theory(equality)]) ).
cnf(6123,plain,
sdtasdt0(xP,sdtasdt0(xH,sdtpldt0(xE,xE))) = sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),
inference('REWRITE',[status(thm)],[5684,6093,theory(equality)]) ).
cnf(6127,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)],[5868,6093,theory(equality)]) ).
cnf(6682,plain,
sdtasdt0(xE,sdtpldt0(xH,xH)) = sdtasdt0(xH,sdtpldt0(xE,xE)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,72,78,78]),6093,83,theory(equality)]) ).
cnf(7460,plain,
sdtasdt0(xB,sdtpldt0(xA,xA)) = sdtpldt0(xH,xH),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[26,65,63,63]),722,theory(equality)]) ).
cnf(7493,plain,
sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA))) = sdtasdt0(xH,sdtpldt0(xE,xE)),
inference('REWRITE',[status(thm)],[6682,7460,theory(equality)]) ).
cnf(7494,plain,
sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA))) = sdtpldt0(xP,xP),
inference('REWRITE',[status(thm)],[6093,7493,theory(equality)]) ).
cnf(7495,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)],[6094,7493,theory(equality)]) ).
cnf(7524,plain,
sdtasdt0(xP,sdtasdt0(xE,sdtasdt0(xB,sdtpldt0(xA,xA)))) = sdtpldt0(sdtasdt0(xP,xP),sdtasdt0(xP,xP)),
inference('REWRITE',[status(thm)],[6123,7493,theory(equality)]) ).
cnf(7528,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)],[6127,7493,theory(equality)]) ).
cnf(14006,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)],[28,82,82,82,82]),7524,7494,theory(equality)]) ).
cnf(14007,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)],[7528,14006,theory(equality)]) ).
cnf(15723,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)],[28,80,84,80,84]),5529,668,5866,87,theory(equality)]) ).
cnf(15724,plain,
$false,
inference('REWRITE',[status(thm)],[14007,7495,15723,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : RNG069+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n017.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon May 30 07:40:25 EDT 2022
% 0.12/0.35 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.48 #<PACKAGE "SNARK-USER">
% 0.19/0.48 *
% 0.19/0.48 SNARK-TPTP-OPTIONS
% 0.19/0.48 *
% 0.19/0.48 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.48 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.48 (USE-FACTORING :POS)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.48 *
% 0.19/0.48 "."
% 0.19/0.48 *
% 0.19/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T07:40:25
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n017.cluster.edu at 2022-05-30T07:40:25
% 5.64/5.85
% 5.64/5.85
% 5.64/5.85 #||
% 5.64/5.85 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.64/5.85 % SZS output start Refutation
% See solution above
% 5.64/5.85 ||#
% 5.64/5.85
% 5.64/5.85 ; Summary of computation:
% 5.64/5.85 ; 78589 formulas have been input or derived (from 92 formulas).
% 5.64/5.85 ; 15724 (20%) were retained. Of these,
% 5.64/5.85 ; 854 ( 5%) were simplified or subsumed later,
% 5.64/5.85 ; 14870 (95%) are still being kept.
% 5.64/5.85 ;
% 5.64/5.85 ; Run time in seconds excluding printing time:
% 5.64/5.85 ; 0.014 0% Read assertion file (1 call)
% 5.64/5.85 ; 0.002 0% Assert (62 calls)
% 5.64/5.85 ; 1.343 25% Process new row (28,236 calls)
% 5.64/5.85 ; 2.682 50% Resolution (182 calls)
% 5.64/5.85 ; 0.010 0% Paramodulation (91 calls)
% 5.64/5.85 ; 0.003 0% Condensing (226 calls)
% 5.64/5.85 ; 0.001 0% Forward subsumption (226 calls)
% 5.64/5.85 ; 0.002 0% Backward subsumption (150 calls)
% 5.64/5.85 ; 0.000 0% Clause clause subsumption (122 calls)
% 5.64/5.85 ; 1.027 19% Forward simplification (28,236 calls)
% 5.64/5.85 ; 0.122 2% Backward simplification (15,720 calls)
% 5.64/5.85 ; 0.064 1% Ordering (15,478 calls)
% 5.64/5.85 ; 0.000 0% Sortal reasoning (32 calls)
% 5.64/5.85 ; 0.001 0% Purity testing (1 call)
% 5.64/5.85 ; 0.098 2% Other
% 5.64/5.85 ; 5.369 Total
% 5.64/5.85 ; 5.373 Real time
% 5.64/5.86 ;
% 5.64/5.86 ; Term-hash-array has 42,791 terms in all.
% 5.64/5.86 ; Feature-vector-row-index has 145 entries (145 at peak, 150 added, 5 deleted).
% 5.64/5.86 ; Feature-vector-row-index has 515 nodes (515 at peak, 554 added, 39 deleted).
% 5.64/5.86 ; Retrieved 191 possibly forward subsuming rows in 226 calls.
% 5.64/5.86 ; Retrieved 48 possibly backward subsumed rows in 150 calls.
% 5.64/5.86 ; Path-index has 41,253 entries (41,254 at peak, 43,537 added, 2,284 deleted).
% 5.64/5.86 ; Path-index has 2,137 nodes (2,141 at peak, 2,493 added, 356 deleted).
% 5.64/5.86 ; Trie-index has 41,253 entries (41,254 at peak, 43,537 added, 2,284 deleted).
% 5.64/5.86 ; Trie-index has 174,634 nodes (174,645 at peak, 182,839 added, 8,205 deleted).
% 5.64/5.86 ; Retrieved 44,696 generalization terms in 229,844 calls.
% 5.64/5.86 ; Retrieved 15,572 instance terms in 15,569 calls.
% 5.64/5.86 ; Retrieved 7,041,570 unifiable terms in 274,270 calls.
% 5.64/5.86 ;
% 5.64/5.86 ; The agenda of rows to process has 50321 entries:
% 5.64/5.86 ; 50321 with value 28
% 5.64/5.86 ; The agenda of input rows to give has 2 entries:
% 5.64/5.86 ; 1 with value 41 1 with value 43
% 5.64/5.86 ; The agenda of rows to give has 14780 entries:
% 5.64/5.86 ; 17 with value (4 5) 1 with value (4 19) 20 with value (4 35)
% 5.64/5.86 ; 15 with value (4 6) 142 with value (4 20) 24 with value (4 36)
% 5.64/5.86 ; 269 with value (4 7) 96 with value (4 21) 32 with value (4 37)
% 5.64/5.86 ; 70 with value (4 8) 76 with value (4 23) 78 with value (4 38)
% 5.64/5.86 ; 86 with value (4 9) 4454 with value (4 24) 8 with value (4 39)
% 5.64/5.86 ; 184 with value (4 10) 13 with value (4 25) 4 with value (4 40)
% 5.64/5.86 ; 572 with value (4 11) 19 with value (4 26) 11 with value (4 41)
% 5.64/5.86 ; 2 with value (4 12) 27 with value (4 28) 6 with value (4 42)
% 5.64/5.86 ; 1182 with value (4 13) 279 with value (4 29) 17 with value (4 43)
% 5.64/5.86 ; 12 with value (4 14) 48 with value (4 30) 4 with value (4 44)
% 5.64/5.86 ; 3466 with value (4 15) 119 with value (4 31) 11 with value (4 45)
% 5.64/5.86 ; 4 with value (4 16) 153 with value (4 32) 1 with value (4 47)
% 5.64/5.86 ; 2602 with value (4 17) 31 with value (4 33) 1 with value (4 49)
% 5.64/5.86 ; 585 with value (4 18) 38 with value (4 34) 1 with value (4 51)
% 5.64/5.86 Evaluation took:
% 5.64/5.86 5.375 seconds of real time
% 5.64/5.86 5.095896 seconds of user run time
% 5.64/5.86 0.279159 seconds of system run time
% 5.64/5.86 [Run times include 0.928 seconds GC run time.]
% 5.64/5.86 0 calls to %EVAL
% 5.64/5.86 0 page faults and
% 5.64/5.86 462,796,032 bytes consed.
% 5.64/5.86 :PROOF-FOUND
% 5.64/5.86 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T07:40:30
% 5.64/5.86 :PROOF-FOUND
% 5.64/5.86 *
%------------------------------------------------------------------------------