TSTP Solution File: NUM467+2 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM467+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n016.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 14:10:48 EDT 2022
% Result : Theorem 0.84s 1.05s
% Output : Refutation 0.84s
% 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('SKOLEMAAAU3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240_04) ).
cnf(53,hypothesis,
xm = sdtasdt0(xl,'SKOLEMAAAU3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240_04) ).
cnf(55,hypothesis,
aNaturalNumber0('SKOLEMAAAU4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240_04) ).
cnf(56,hypothesis,
xn = sdtasdt0(xl,'SKOLEMAAAU4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1240_04) ).
cnf(58,negated_conjecture,
( ~ aNaturalNumber0(X)
| sdtpldt0(xm,xn) != sdtasdt0(xl,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(105,plain,
aNaturalNumber0(sdtpldt0('SKOLEMAAAU4','SKOLEMAAAU3')),
inference('HYPERRESOLVE',[status(thm)],[4,55,52]) ).
cnf(200,plain,
sdtpldt0(xn,xm) = sdtpldt0(xm,xn),
inference('HYPERRESOLVE',[status(thm)],[6,51,50]) ).
cnf(1125,plain,
sdtasdt0(xl,sdtpldt0('SKOLEMAAAU4','SKOLEMAAAU3')) = sdtpldt0(xn,xm),
inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[16,49,55,52]),53,56,theory(equality)]) ).
cnf(1583,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[58,105]),200,1125,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : NUM467+2 : TPTP v8.1.0. Released v4.0.0.
% 0.09/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n016.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jul 7 09:29:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.45 *
% 0.18/0.45 *
% 0.18/0.46 #<PACKAGE "SNARK-USER">
% 0.18/0.46 *
% 0.18/0.46 SNARK-TPTP-OPTIONS
% 0.18/0.46 *
% 0.18/0.46 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.18/0.46 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.18/0.46 (USE-FACTORING :POS)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.18/0.46 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.18/0.46 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.18/0.46 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.18/0.46 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.18/0.46 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.18/0.46 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.18/0.46 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.18/0.46 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.18/0.46 (DECLARE-TPTP-SYMBOLS2))
% 0.18/0.46 *
% 0.18/0.46 "."
% 0.18/0.46 *
% 0.18/0.46 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T09:29:51
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n016.cluster.edu at 2022-07-07T09:29:51
% 0.18/0.48 WARNING:
% 0.18/0.48 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.84/1.05
% 0.84/1.05
% 0.84/1.05 #||
% 0.84/1.05 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.84/1.05 % SZS output start Refutation
% See solution above
% 0.84/1.05 ||#
% 0.84/1.05
% 0.84/1.05 ; Summary of computation:
% 0.84/1.05 ; 6273 formulas have been input or derived (from 68 formulas).
% 0.84/1.05 ; 1583 (25%) were retained. Of these,
% 0.84/1.05 ; 236 (15%) were simplified or subsumed later,
% 0.84/1.05 ; 1347 (85%) are still being kept.
% 0.84/1.05 ;
% 0.84/1.05 ; Run time in seconds excluding printing time:
% 0.84/1.05 ; 0.010 2% Read assertion file (1 call)
% 0.84/1.05 ; 0.003 1% Assert (35 calls)
% 0.84/1.05 ; 0.115 19% Process new row (4,458 calls)
% 0.84/1.05 ; 0.313 53% Resolution (134 calls)
% 0.84/1.05 ; 0.001 0% Paramodulation (67 calls)
% 0.84/1.05 ; 0.004 1% Condensing (149 calls)
% 0.84/1.05 ; 0.003 1% Forward subsumption (149 calls)
% 0.84/1.05 ; 0.002 0% Backward subsumption (120 calls)
% 0.84/1.05 ; 0.002 0% Clause clause subsumption (99 calls)
% 0.84/1.05 ; 0.081 14% Forward simplification (4,457 calls)
% 0.84/1.05 ; 0.015 3% Backward simplification (1,583 calls)
% 0.84/1.05 ; 0.005 1% Ordering (1,454 calls)
% 0.84/1.05 ; 0.000 0% Sortal reasoning (32 calls)
% 0.84/1.05 ; 0.000 0% Purity testing (1 call)
% 0.84/1.05 ; 0.038 6% Other
% 0.84/1.05 ; 0.592 Total
% 0.84/1.05 ; 0.593 Real time
% 0.84/1.05 ;
% 0.84/1.05 ; Term-hash-array has 3,463 terms in all.
% 0.84/1.05 ; Feature-vector-row-index has 113 entries (113 at peak, 120 added, 7 deleted).
% 0.84/1.05 ; Feature-vector-row-index has 389 nodes (389 at peak, 415 added, 26 deleted).
% 0.84/1.05 ; Retrieved 89 possibly forward subsuming rows in 149 calls.
% 0.84/1.05 ; Retrieved 37 possibly backward subsumed rows in 120 calls.
% 0.84/1.05 ; Path-index has 3,047 entries (3,047 at peak, 3,634 added, 587 deleted).
% 0.84/1.05 ; Path-index has 774 nodes (774 at peak, 785 added, 11 deleted).
% 0.84/1.05 ; Trie-index has 3,047 entries (3,047 at peak, 3,634 added, 587 deleted).
% 0.84/1.05 ; Trie-index has 8,993 nodes (8,993 at peak, 10,766 added, 1,773 deleted).
% 0.84/1.05 ; Retrieved 6,974 generalization terms in 21,645 calls.
% 0.84/1.05 ; Retrieved 1,462 instance terms in 1,462 calls.
% 0.84/1.05 ; Retrieved 527,116 unifiable terms in 32,690 calls.
% 0.84/1.05 ;
% 0.84/1.05 ; The agenda of rows to process has 1696 entries:
% 0.84/1.05 ; 5 with value 14 7 with value 19 364 with value 25
% 0.84/1.05 ; 28 with value 15 22 with value 20 70 with value 27
% 0.84/1.05 ; 72 with value 16 588 with value 21 124 with value 29
% 0.84/1.05 ; 9 with value 18 395 with value 23 12 with value 33
% 0.84/1.05 ; The agenda of rows to give has 1279 entries:
% 0.84/1.05 ; 47 with value (4 7) 41 with value (4 12) 114 with value (4 18)
% 0.84/1.05 ; 79 with value (4 8) 239 with value (4 13) 4 with value (4 19)
% 0.84/1.05 ; 31 with value (4 9) 18 with value (4 14) 89 with value (4 20)
% 0.84/1.05 ; 32 with value (4 10) 370 with value (4 15) 2 with value (4 23)
% 0.84/1.05 ; 113 with value (4 11) 100 with value (4 17)
% 0.84/1.05 Evaluation took:
% 0.84/1.05 0.593 seconds of real time
% 0.84/1.05 0.562063 seconds of user run time
% 0.84/1.05 0.031299 seconds of system run time
% 0.84/1.05 [Run times include 0.03 seconds GC run time.]
% 0.84/1.05 0 calls to %EVAL
% 0.84/1.05 0 page faults and
% 0.84/1.05 40,461,448 bytes consed.
% 0.84/1.05 :PROOF-FOUND
% 0.84/1.05 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T09:29:52
% 0.84/1.05 :PROOF-FOUND
% 0.84/1.05 *
%------------------------------------------------------------------------------