TSTP Solution File: RNG104+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : RNG104+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n024.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 20:40:48 EDT 2022
% Result : Theorem 0.47s 0.64s
% Output : Refutation 0.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 9 unt; 0 nHn; 12 RR)
% Number of literals : 19 ( 6 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(5,axiom,
( ~ aElement0(X)
| ~ aElement0(Y)
| aElement0(sdtasdt0(X,Y)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSortsB_02) ).
cnf(12,axiom,
( ~ aElement0(X)
| ~ aElement0(Y)
| sdtasdt0(X,Y) = sdtasdt0(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
cnf(13,axiom,
( ~ aElement0(X)
| ~ aElement0(Y)
| ~ aElement0(Z)
| sdtasdt0(sdtasdt0(X,Y),Z) = sdtasdt0(X,sdtasdt0(Y,Z)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
cnf(87,hypothesis,
aElement0(xc),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1905) ).
cnf(90,hypothesis,
aElement0(xz),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1933) ).
cnf(91,hypothesis,
aElement0(xu),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1956) ).
cnf(92,hypothesis,
sdtasdt0(xc,xu) = xx,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1956) ).
cnf(96,negated_conjecture,
sdtasdt0(xz,xx) != sdtasdt0(xc,sdtasdt0(xu,xz)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(172,plain,
aElement0(xx),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[5,87,91]),92,theory(equality)]) ).
cnf(541,plain,
sdtasdt0(xx,xz) = sdtasdt0(xc,sdtasdt0(xu,xz)),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[13,87,91,90]),92,theory(equality)]) ).
cnf(542,plain,
sdtasdt0(xz,xx) != sdtasdt0(xx,xz),
inference('REWRITE',[status(thm)],[96,541,theory(equality)]) ).
cnf(584,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,542,90]),172]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : RNG104+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.14 % Command : run-snark %s %d
% 0.13/0.35 % Computer : n024.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 13:47:51 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.21/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.21/0.47 *
% 0.21/0.47 *
% 0.21/0.47 #<PACKAGE "SNARK-USER">
% 0.21/0.47 *
% 0.21/0.47 SNARK-TPTP-OPTIONS
% 0.21/0.47 *
% 0.21/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.21/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.21/0.47 (USE-FACTORING :POS)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.21/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.21/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.21/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.21/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.21/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.21/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.21/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.21/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.21/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.21/0.47 *
% 0.21/0.47 "."
% 0.21/0.47 *
% 0.21/0.47 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T13:47:51
% 0.21/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n024.cluster.edu at 2022-05-30T13:47:51
% 0.21/0.50 WARNING:
% 0.21/0.50 |aNaturalNumber0| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.21/0.50 WARNING:
% 0.21/0.50 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.47/0.64
% 0.47/0.64
% 0.47/0.64 #||
% 0.47/0.64 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.47/0.64 % SZS output start Refutation
% See solution above
% 0.47/0.65 ||#
% 0.47/0.65
% 0.47/0.65 ; Summary of computation:
% 0.47/0.65 ; 1496 formulas have been input or derived (from 61 formulas).
% 0.47/0.65 ; 584 (39%) were retained. Of these,
% 0.47/0.65 ; 4 ( 1%) were simplified or subsumed later,
% 0.47/0.65 ; 580 (99%) are still being kept.
% 0.47/0.65 ;
% 0.47/0.65 ; Run time in seconds:
% 0.47/0.65 ; 0.010 6% Read assertion file (1 call)
% 0.47/0.65 ; 0.004 2% Assert (43 calls)
% 0.47/0.65 ; 0.037 22% Process new row (1,495 calls)
% 0.47/0.65 ; 0.050 29% Resolution (120 calls)
% 0.47/0.65 ; 0.002 1% Paramodulation (60 calls)
% 0.47/0.65 ; 0.001 1% Condensing (135 calls)
% 0.47/0.65 ; 0.004 2% Forward subsumption (135 calls)
% 0.47/0.65 ; 0.001 1% Backward subsumption (135 calls)
% 0.47/0.65 ; 0.000 0% Clause clause subsumption (34 calls)
% 0.47/0.65 ; 0.027 16% Forward simplification (1,493 calls)
% 0.47/0.65 ; 0.005 3% Backward simplification (584 calls)
% 0.47/0.65 ; 0.002 1% Ordering (501 calls)
% 0.47/0.65 ; 0.001 1% Sortal reasoning (32 calls)
% 0.47/0.65 ; 0.000 0% Purity testing (1 call)
% 0.47/0.65 ; 0.028 16% Other
% 0.47/0.65 ; 0.172 Total
% 0.47/0.65 ; 0.173 Real time
% 0.47/0.65 ;
% 0.47/0.65 ; Term-hash-array has 1,314 terms in all.
% 0.47/0.65 ; Feature-vector-row-index has 135 entries (135 at peak, 135 added, 0 deleted).
% 0.47/0.65 ; Feature-vector-row-index has 452 nodes (452 at peak, 452 added, 0 deleted).
% 0.47/0.65 ; Retrieved 22 possibly forward subsuming rows in 135 calls.
% 0.47/0.65 ; Retrieved 12 possibly backward subsumed rows in 135 calls.
% 0.47/0.65 ; Path-index has 1,318 entries (1,318 at peak, 1,323 added, 5 deleted).
% 0.47/0.65 ; Path-index has 893 nodes (893 at peak, 893 added, 0 deleted).
% 0.47/0.65 ; Trie-index has 1,318 entries (1,318 at peak, 1,323 added, 5 deleted).
% 0.47/0.65 ; Trie-index has 3,221 nodes (3,221 at peak, 3,234 added, 13 deleted).
% 0.47/0.65 ; Retrieved 2,055 generalization terms in 5,856 calls.
% 0.47/0.65 ; Retrieved 448 instance terms in 448 calls.
% 0.47/0.65 ; Retrieved 74,353 unifiable terms in 3,385 calls.
% 0.47/0.65 ;
% 0.47/0.65 ; The agenda of input rows to give has 37 entries:
% 0.47/0.65 ; 5 with value 23 3 with value 27 5 with value 32
% 0.47/0.65 ; 4 with value 24 2 with value 28 1 with value 40
% 0.47/0.65 ; 7 with value 25 1 with value 29 1 with value 41
% 0.47/0.65 ; 2 with value 26 5 with value 31 1 with value 42
% 0.47/0.65 ; The agenda of rows to give has 483 entries:
% 0.47/0.65 ; 2 with value (4 4) 41 with value (4 8) 2 with value (4 12)
% 0.47/0.65 ; 12 with value (4 6) 32 with value (4 10) 96 with value (4 13)
% 0.47/0.65 ; 51 with value (4 7) 84 with value (4 11) 163 with value (4 15)
% 0.47/0.65 Evaluation took:
% 0.47/0.65 0.173 seconds of real time
% 0.47/0.65 0.157101 seconds of user run time
% 0.47/0.65 0.016042 seconds of system run time
% 0.47/0.65 0 calls to %EVAL
% 0.47/0.65 0 page faults and
% 0.47/0.65 10,609,792 bytes consed.
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-05-30T13:47:51
% 0.47/0.65 :PROOF-FOUND
% 0.47/0.65 *
%------------------------------------------------------------------------------