TSTP Solution File: NUM469+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM469+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n005.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 14:10:49 EDT 2022
% Result : Theorem 1.61s 1.81s
% Output : Refutation 1.61s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 11
% Syntax : Number of clauses : 15 ( 11 unt; 0 nHn; 15 RR)
% Number of literals : 23 ( 7 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 : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 8 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(4,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| aNaturalNumber0(sdtpldt0(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsB) ).
cnf(6,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| sdtpldt0(X,Y) = sdtpldt0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAddComm) ).
cnf(16,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| ~ aNaturalNumber0(Z)
| sdtasdt0(X,sdtpldt0(Y,Z)) = sdtpldt0(sdtasdt0(X,Y),sdtasdt0(X,Z)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mAMDistr) ).
cnf(49,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240) ).
cnf(50,hypothesis,
aNaturalNumber0(xm),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240) ).
cnf(51,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240) ).
cnf(52,hypothesis,
aNaturalNumber0('SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240_04) ).
cnf(53,hypothesis,
xm = sdtasdt0(xl,'SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240_04) ).
cnf(55,hypothesis,
aNaturalNumber0('SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240_04) ).
cnf(56,hypothesis,
xn = sdtasdt0(xl,'SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240_04) ).
cnf(63,negated_conjecture,
( ~ aNaturalNumber0(X)
| sdtpldt0(xm,xn) != sdtasdt0(xl,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(124,plain,
aNaturalNumber0(sdtpldt0('SKOLEMAAAV4','SKOLEMAAAV3')),
inference('HYPERRESOLVE',[status(thm)],[4,55,52]) ).
cnf(298,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference('HYPERRESOLVE',[status(thm)],[6,51,50]) ).
cnf(2098,plain,
sdtasdt0(xl,sdtpldt0('SKOLEMAAAV4','SKOLEMAAAV3')) = sdtpldt0(xn,xm),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,49,55,52]),53,56,theory(equality)]) ).
cnf(3336,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[63,124]),298,2098,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM469+2 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jul 5 04:21:07 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.19/0.46 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47 *
% 0.19/0.47 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 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/sandbox/benchmark/theBenchmark.p 2022-07-05T04:21:07
% 0.19/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n005.cluster.edu at 2022-07-05T04:21:07
% 0.19/0.50 WARNING:
% 0.19/0.50 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 1.61/1.81
% 1.61/1.81
% 1.61/1.81 #||
% 1.61/1.81 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.61/1.81 % SZS output start Refutation
% See solution above
% 1.61/1.81 ||#
% 1.61/1.81
% 1.61/1.81 ; Summary of computation:
% 1.61/1.81 ; 8771 formulas have been input or derived (from 73 formulas).
% 1.61/1.81 ; 3336 (38%) were retained. Of these,
% 1.61/1.81 ; 280 ( 8%) were simplified or subsumed later,
% 1.61/1.81 ; 3056 (92%) are still being kept.
% 1.61/1.81 ;
% 1.61/1.82 ; Run time in seconds excluding printing time:
% 1.61/1.82 ; 0.011 1% Read assertion file (1 call)
% 1.61/1.82 ; 0.003 0% Assert (36 calls)
% 1.61/1.82 ; 0.324 24% Process new row (6,473 calls)
% 1.61/1.82 ; 0.479 36% Resolution (144 calls)
% 1.61/1.82 ; 0.002 0% Paramodulation (72 calls)
% 1.61/1.82 ; 0.000 0% Factoring (5 calls)
% 1.61/1.82 ; 0.007 1% Condensing (1,964 calls)
% 1.61/1.82 ; 0.199 15% Forward subsumption (1,964 calls)
% 1.61/1.82 ; 0.069 5% Backward subsumption (1,873 calls)
% 1.61/1.82 ; 0.026 2% Clause clause subsumption (10,689 calls)
% 1.61/1.82 ; 0.123 9% Forward simplification (6,472 calls)
% 1.61/1.82 ; 0.029 2% Backward simplification (3,336 calls)
% 1.61/1.82 ; 0.011 1% Ordering (2,830 calls)
% 1.61/1.82 ; 0.000 0% Sortal reasoning (32 calls)
% 1.61/1.82 ; 0.000 0% Purity testing (1 call)
% 1.61/1.82 ; 0.055 4% Other
% 1.61/1.82 ; 1.338 Total
% 1.61/1.82 ; 1.339 Real time
% 1.61/1.82 ;
% 1.61/1.82 ; Term-hash-array has 8,106 terms in all.
% 1.61/1.82 ; Feature-vector-row-index has 1,822 entries (1,822 at peak, 1,873 added, 51 deleted).
% 1.61/1.82 ; Feature-vector-row-index has 5,993 nodes (5,993 at peak, 6,122 added, 129 deleted).
% 1.61/1.82 ; Retrieved 16,179 possibly forward subsuming rows in 1,964 calls.
% 1.61/1.82 ; Retrieved 4,551 possibly backward subsumed rows in 1,873 calls.
% 1.61/1.82 ; Path-index has 7,602 entries (7,602 at peak, 8,321 added, 719 deleted).
% 1.61/1.82 ; Path-index has 1,107 nodes (1,107 at peak, 1,118 added, 11 deleted).
% 1.61/1.82 ; Trie-index has 7,602 entries (7,602 at peak, 8,321 added, 719 deleted).
% 1.61/1.82 ; Trie-index has 30,780 nodes (30,780 at peak, 33,100 added, 2,320 deleted).
% 1.61/1.82 ; Retrieved 7,506 generalization terms in 33,293 calls.
% 1.61/1.82 ; Retrieved 1,462 instance terms in 1,462 calls.
% 1.61/1.82 ; Retrieved 900,994 unifiable terms in 39,185 calls.
% 1.61/1.82 ;
% 1.61/1.82 ; The agenda of rows to process has 2170 entries:
% 1.61/1.82 ; 5 with value 14 22 with value 20 74 with value 27
% 1.61/1.82 ; 34 with value 15 588 with value 21 292 with value 29
% 1.61/1.82 ; 72 with value 16 12 with value 22 56 with value 31
% 1.61/1.82 ; 8 with value 17 395 with value 23 172 with value 33
% 1.61/1.82 ; 9 with value 18 12 with value 24 48 with value 37
% 1.61/1.82 ; 7 with value 19 364 with value 25
% 1.61/1.82 ; The agenda of rows to give has 2983 entries:
% 1.61/1.82 ; 47 with value (4 7) 9 with value (4 16) 612 with value (4 24)
% 1.61/1.82 ; 79 with value (4 8) 112 with value (4 17) 262 with value (4 26)
% 1.61/1.82 ; 31 with value (4 9) 114 with value (4 18) 278 with value (4 28)
% 1.61/1.82 ; 32 with value (4 10) 46 with value (4 19) 92 with value (4 30)
% 1.61/1.82 ; 111 with value (4 11) 89 with value (4 20) 2 with value (4 31)
% 1.61/1.82 ; 41 with value (4 12) 8 with value (4 21) 128 with value (4 32)
% 1.61/1.82 ; 239 with value (4 13) 180 with value (4 22) 2 with value (4 35)
% 1.61/1.82 ; 76 with value (4 14) 5 with value (4 23) 16 with value (4 36)
% 1.61/1.82 ; 372 with value (4 15)
% 1.61/1.82 Evaluation took:
% 1.61/1.82 1.339 seconds of real time
% 1.61/1.82 1.262362 seconds of user run time
% 1.61/1.82 0.077323 seconds of system run time
% 1.61/1.82 [Run times include 0.133 seconds GC run time.]
% 1.61/1.82 0 calls to %EVAL
% 1.61/1.82 0 page faults and
% 1.61/1.82 116,714,544 bytes consed.
% 1.61/1.82 :PROOF-FOUND
% 1.61/1.82 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-05T04:21:09
% 1.61/1.82 :PROOF-FOUND
% 1.61/1.82 *
%------------------------------------------------------------------------------