%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM476+2 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n009.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 14:10:53 EDT 2022
% Result : Theorem 0.19s 0.54s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 13
% Syntax : Number of clauses : 21 ( 15 unt; 2 nHn; 21 RR)
% Number of literals : 27 ( 16 equ; 6 neg)
% Maximal clause size : 2 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 7 con; 0-2 aty)
% Number of variables : 4 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(1,axiom,
aNaturalNumber0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSortsC) ).
cnf(9,axiom,
( ~ aNaturalNumber0(X)
| X = sdtpldt0(sz00,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
cnf(14,axiom,
( ~ aNaturalNumber0(X)
| sdtasdt0(X,sz00) = sz00 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
cnf(15,axiom,
( ~ aNaturalNumber0(X)
| sz00 = sdtasdt0(sz00,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_MulZero) ).
cnf(50,hypothesis,
aNaturalNumber0(xl),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
cnf(52,hypothesis,
aNaturalNumber0(xn),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324) ).
cnf(53,hypothesis,
aNaturalNumber0('SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
cnf(54,hypothesis,
xm = sdtasdt0(xl,'SKOLEMAAAV3'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
cnf(56,hypothesis,
aNaturalNumber0('SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
cnf(57,hypothesis,
sdtpldt0(xm,xn) = sdtasdt0(xl,'SKOLEMAAAV4'),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1324_04) ).
cnf(71,negated_conjecture,
( xl = sz00
| aNaturalNumber0('SKOLEMAAAV8') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(75,negated_conjecture,
( xl = sz00
| xn = sdtasdt0(xl,'SKOLEMAAAV8') ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(76,negated_conjecture,
( ~ aNaturalNumber0(X)
| xn != sdtasdt0(xl,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(102,plain,
xn = sdtpldt0(sz00,xn),
inference('HYPERRESOLVE',[status(thm)],[9,52]) ).
cnf(135,plain,
sdtasdt0(xl,sz00) = sz00,
inference('HYPERRESOLVE',[status(thm)],[14,50]) ).
cnf(141,plain,
sz00 = sdtasdt0(sz00,'SKOLEMAAAV4'),
inference('HYPERRESOLVE',[status(thm)],[15,56]) ).
cnf(142,plain,
sz00 = sdtasdt0(sz00,'SKOLEMAAAV3'),
inference('HYPERRESOLVE',[status(thm)],[15,53]) ).
cnf(156,plain,
xn != sz00,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[76,1]),135,theory(equality)]) ).
cnf(157,plain,
xl = sz00,
inference('HYPERRESOLVE',[status(thm)],[76,75,71]) ).
cnf(158,plain,
xm = sz00,
inference('REWRITE',[status(thm)],[54,142,157,theory(equality)]) ).
cnf(160,plain,
$false,
inference('REWRITE',[status(thm)],[57,156,141,102,158,157,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM476+2 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run-snark %s %d
% 0.12/0.34 % Computer : n009.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 : Thu Jul 7 08:50:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.46 *
% 0.19/0.46 *
% 0.19/0.47 #<PACKAGE "SNARK-USER">
% 0.19/0.47 *
% 0.19/0.47 SNARK-TPTP-OPTIONS
% 0.19/0.47 *
% 0.19/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47 (USE-FACTORING :POS)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47 *
% 0.19/0.47 "."
% 0.19/0.47 *
% 0.19/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T08:50:52
% 0.19/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n009.cluster.edu at 2022-07-07T08:50:52
% 0.19/0.49 WARNING:
% 0.19/0.49 |iLess0| is a 2-ary relation that occurs only positively; disabling rows that contain it.
% 0.19/0.54
% 0.19/0.54
% 0.19/0.54 #||
% 0.19/0.54 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.54 % SZS output start Refutation
% See solution above
% 0.19/0.54 ||#
% 0.19/0.54
% 0.19/0.54 ; Summary of computation:
% 0.19/0.54 ; 297 formulas have been input or derived (from 33 formulas).
% 0.19/0.54 ; 160 (54%) were retained. Of these,
% 0.19/0.54 ; 73 (46%) were simplified or subsumed later,
% 0.19/0.54 ; 87 (54%) are still being kept.
% 0.19/0.54 ;
% 0.19/0.54 ; Run time in seconds excluding printing time:
% 0.19/0.54 ; 0.012 17% Read assertion file (1 call)
% 0.19/0.54 ; 0.003 4% Assert (36 calls)
% 0.19/0.54 ; 0.010 14% Process new row (233 calls)
% 0.19/0.54 ; 0.003 4% Resolution (64 calls)
% 0.19/0.54 ; 0.002 3% Paramodulation (32 calls)
% 0.19/0.54 ; 0.000 0% Factoring (11 calls)
% 0.19/0.54 ; 0.001 1% Condensing (93 calls)
% 0.19/0.54 ; 0.005 7% Forward subsumption (93 calls)
% 0.19/0.54 ; 0.000 0% Backward subsumption (89 calls)
% 0.19/0.54 ; 0.001 1% Clause clause subsumption (72 calls)
% 0.19/0.54 ; 0.003 4% Forward simplification (232 calls)
% 0.19/0.54 ; 0.003 4% Backward simplification (157 calls)
% 0.19/0.54 ; 0.002 3% Ordering (195 calls)
% 0.19/0.54 ; 0.000 0% Sortal reasoning (32 calls)
% 0.19/0.54 ; 0.000 0% Purity testing (1 call)
% 0.19/0.54 ; 0.026 37% Other
% 0.19/0.54 ; 0.071 Total
% 0.19/0.54 ; 0.074 Real time
% 0.19/0.54 ;
% 0.19/0.54 ; Term-hash-array has 270 terms in all.
% 0.19/0.54 ; Feature-vector-row-index has 46 entries (89 at peak, 89 added, 43 deleted).
% 0.19/0.54 ; Feature-vector-row-index has 124 nodes (313 at peak, 313 added, 189 deleted).
% 0.19/0.54 ; Retrieved 49 possibly forward subsuming rows in 93 calls.
% 0.19/0.54 ; Retrieved 25 possibly backward subsumed rows in 89 calls.
% 0.19/0.54 ; Path-index has 154 entries (279 at peak, 281 added, 127 deleted).
% 0.19/0.54 ; Path-index has 290 nodes (387 at peak, 389 added, 99 deleted).
% 0.19/0.54 ; Trie-index has 154 entries (279 at peak, 281 added, 127 deleted).
% 0.19/0.54 ; Trie-index has 320 nodes (560 at peak, 563 added, 243 deleted).
% 0.19/0.54 ; Retrieved 75 generalization terms in 553 calls.
% 0.19/0.54 ; Retrieved 67 instance terms in 67 calls.
% 0.19/0.54 ; Retrieved 1,204 unifiable terms in 213 calls.
% 0.19/0.54 ;
% 0.19/0.54 ; The agenda of backward simplifiable rows to process has 57 entries:
% 0.19/0.54 ; 57 with value 0
% 0.19/0.54 ; The agenda of rows to process has 2 entries:
% 0.19/0.54 ; 1 with value 9 1 with value 12
% 0.19/0.54 ; The agenda of input rows to give has 41 entries:
% 0.19/0.54 ; 2 with value 4 1 with value 18 2 with value 25
% 0.19/0.54 ; 2 with value 12 5 with value 20 4 with value 26
% 0.19/0.54 ; 2 with value 14 3 with value 21 1 with value 27
% 0.19/0.54 ; 3 with value 15 2 with value 22 1 with value 28
% 0.19/0.54 ; 2 with value 16 2 with value 23 2 with value 30
% 0.19/0.54 ; 3 with value 17 3 with value 24 1 with value 31
% 0.19/0.54 ; The agenda of rows to give has 32 entries:
% 0.19/0.54 ; 7 with value (4 5) 25 with value (4 8)
% 0.19/0.54 Evaluation took:
% 0.19/0.54 0.075 seconds of real time
% 0.19/0.54 0.065807 seconds of user run time
% 0.19/0.54 0.008997 seconds of system run time
% 0.19/0.54 0 calls to %EVAL
% 0.19/0.54 0 page faults and
% 0.19/0.54 4,332,056 bytes consed.
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T08:50:52
% 0.19/0.54 :PROOF-FOUND
% 0.19/0.54 *
%------------------------------------------------------------------------------