TSTP Solution File: NUM505+3 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM505+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n006.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 14:11:10 EDT 2022
% Result : Theorem 0.49s 0.66s
% Output : Refutation 0.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 8
% Syntax : Number of clauses : 12 ( 8 unt; 1 nHn; 12 RR)
% Number of literals : 18 ( 5 equ; 9 neg)
% Maximal clause size : 4 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 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(8,axiom,
( ~ aNaturalNumber0(X)
| sdtpldt0(X,sz00) = X ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m_AddZero) ).
cnf(35,axiom,
( ~ aNaturalNumber0(X)
| ~ aNaturalNumber0(Y)
| sdtlseqdt0(X,Y)
| sdtlseqdt0(Y,X) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mLETotal) ).
cnf(66,hypothesis,
aNaturalNumber0(xp),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1837) ).
cnf(213,hypothesis,
aNaturalNumber0(xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2306) ).
cnf(232,negated_conjecture,
( ~ aNaturalNumber0(X)
| sdtpldt0(xp,X) != xk ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(233,negated_conjecture,
~ sdtlseqdt0(xp,xk),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(235,negated_conjecture,
( xk = xp
| ~ sdtlseqdt0(xk,xp) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
cnf(257,plain,
sdtpldt0(xp,sz00) = xp,
inference('HYPERRESOLVE',[status(thm)],[8,66]) ).
cnf(360,plain,
xk != xp,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[232,1]),257,theory(equality)]) ).
cnf(362,plain,
~ sdtlseqdt0(xk,xp),
inference('REWRITE',[status(thm)],[235,360]) ).
cnf(633,plain,
$false,
inference('UR-RESOLVE',[status(thm)],[35,213,66,362,233]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM505+3 : TPTP v8.1.0. Released v4.0.0.
% 0.13/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n006.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 : Thu Jul 7 13:49:21 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.45 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.46 *
% 0.20/0.46 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.47 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.47 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.47 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.47 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.47 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.47 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.47 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.47 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.47 *
% 0.20/0.47 "."
% 0.20/0.47 *
% 0.20/0.47 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T13:49:21
% 0.20/0.47 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n006.cluster.edu at 2022-07-07T13:49:21
% 0.49/0.66
% 0.49/0.66
% 0.49/0.66 #||
% 0.49/0.66 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.49/0.66 % SZS output start Refutation
% See solution above
% 0.49/0.66 ||#
% 0.49/0.66
% 0.49/0.66 ; Summary of computation:
% 0.49/0.66 ; 1393 formulas have been input or derived (from 60 formulas).
% 0.49/0.66 ; 633 (45%) were retained. Of these,
% 0.49/0.66 ; 2 ( 0%) were simplified or subsumed later,
% 0.49/0.66 ; 631 (100%) are still being kept.
% 0.49/0.66 ;
% 0.49/0.66 ; Run time in seconds excluding printing time:
% 0.49/0.66 ; 0.016 8% Read assertion file (1 call)
% 0.49/0.66 ; 0.011 6% Assert (50 calls)
% 0.49/0.66 ; 0.047 24% Process new row (1,198 calls)
% 0.49/0.66 ; 0.035 18% Resolution (118 calls)
% 0.49/0.66 ; 0.001 1% Paramodulation (59 calls)
% 0.49/0.66 ; 0.008 4% Condensing (200 calls)
% 0.49/0.66 ; 0.023 12% Forward subsumption (200 calls)
% 0.49/0.66 ; 0.005 3% Backward subsumption (196 calls)
% 0.49/0.66 ; 0.008 4% Clause clause subsumption (461 calls)
% 0.49/0.66 ; 0.012 6% Forward simplification (1,198 calls)
% 0.49/0.66 ; 0.002 1% Backward simplification (633 calls)
% 0.49/0.66 ; 0.000 0% Ordering (127 calls)
% 0.49/0.66 ; 0.001 1% Sortal reasoning (32 calls)
% 0.49/0.66 ; 0.001 1% Purity testing (1 call)
% 0.49/0.66 ; 0.023 12% Other
% 0.49/0.66 ; 0.193 Total
% 0.49/0.66 ; 0.194 Real time
% 0.49/0.66 ;
% 0.49/0.66 ; Term-hash-array has 914 terms in all.
% 0.49/0.66 ; Feature-vector-row-index has 194 entries (195 at peak, 196 added, 2 deleted).
% 0.49/0.66 ; Feature-vector-row-index has 1,682 nodes (1,695 at peak, 1,699 added, 17 deleted).
% 0.49/0.66 ; Retrieved 482 possibly forward subsuming rows in 200 calls.
% 0.49/0.66 ; Retrieved 35 possibly backward subsumed rows in 196 calls.
% 0.49/0.66 ; Path-index has 927 entries (927 at peak, 930 added, 3 deleted).
% 0.49/0.66 ; Path-index has 570 nodes (570 at peak, 570 added, 0 deleted).
% 0.49/0.66 ; Trie-index has 927 entries (927 at peak, 930 added, 3 deleted).
% 0.49/0.66 ; Trie-index has 1,323 nodes (1,323 at peak, 1,327 added, 4 deleted).
% 0.49/0.66 ; Retrieved 717 generalization terms in 3,032 calls.
% 0.49/0.66 ; Retrieved 436 instance terms in 436 calls.
% 0.49/0.66 ; Retrieved 39,582 unifiable terms in 1,978 calls.
% 0.49/0.66 ;
% 0.49/0.66 ; The agenda of rows to process has 194 entries:
% 0.49/0.66 ; 4 with value 4 34 with value 5 156 with value 9
% 0.49/0.66 ; The agenda of input rows to give has 177 entries:
% 0.49/0.66 ; 5 with value 15 2 with value 31 6 with value 56
% 0.49/0.66 ; 4 with value 16 1 with value 41 7 with value 57
% 0.49/0.66 ; 4 with value 17 2 with value 43 13 with value 58
% 0.49/0.66 ; 3 with value 18 1 with value 45 10 with value 59
% 0.49/0.66 ; 1 with value 19 1 with value 46 9 with value 60
% 0.49/0.66 ; 8 with value 20 2 with value 47 4 with value 61
% 0.49/0.66 ; 6 with value 21 2 with value 48 6 with value 62
% 0.49/0.66 ; 2 with value 22 2 with value 49 10 with value 63
% 0.49/0.66 ; 2 with value 23 1 with value 50 9 with value 64
% 0.49/0.66 ; 4 with value 24 2 with value 51 7 with value 65
% 0.49/0.66 ; 2 with value 25 5 with value 52 2 with value 67
% 0.49/0.66 ; 4 with value 26 5 with value 53 3 with value 68
% 0.49/0.66 ; 1 with value 27 8 with value 54 5 with value 69
% 0.49/0.66 ; 1 with value 28 2 with value 55 1 with value 73
% 0.49/0.66 ; 2 with value 30
% 0.49/0.66 ; The agenda of rows to give has 395 entries:
% 0.49/0.66 ; 2 with value (4 4) 258 with value (4 7) 121 with value (4 8)
% 0.49/0.66 ; 14 with value (4 5)
% 0.49/0.66 Evaluation took:
% 0.49/0.66 0.195 seconds of real time
% 0.49/0.66 0.18466 seconds of user run time
% 0.49/0.66 0.010283 seconds of system run time
% 0.49/0.66 0 calls to %EVAL
% 0.49/0.66 0 page faults and
% 0.49/0.66 11,648,624 bytes consed.
% 0.49/0.66 :PROOF-FOUND
% 0.49/0.66 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T13:49:21
% 0.49/0.66 :PROOF-FOUND
% 0.49/0.66 *
%------------------------------------------------------------------------------