TSTP Solution File: NUM568+1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM568+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n026.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 14:11:46 EDT 2022
% Result : Theorem 1.08s 1.30s
% Output : Refutation 1.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 2 nHn; 8 RR)
% Number of literals : 13 ( 6 equ; 5 neg)
% Maximal clause size : 3 ( 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; 3 con; 0-1 aty)
% Number of variables : 3 ( 0 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(46,axiom,
( ~ aElementOf0(X,szNzAzT0)
| X = sz00
| aElementOf0('SKOLEMAAAV5'(X),szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
cnf(47,axiom,
( ~ aElementOf0(X,szNzAzT0)
| X = sz00
| X = szszuzczcdt0('SKOLEMAAAV5'(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNatExtra) ).
cnf(140,hypothesis,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
cnf(150,hypothesis,
xK != sz00,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
cnf(151,negated_conjecture,
( ~ aElementOf0(X,szNzAzT0)
| szszuzczcdt0(X) != xK ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
cnf(189,plain,
aElementOf0('SKOLEMAAAV5'(xK),szNzAzT0),
inference('UR-RESOLVE',[status(thm)],[46,140,150]) ).
cnf(190,plain,
xK = szszuzczcdt0('SKOLEMAAAV5'(xK)),
inference('UR-RESOLVE',[status(thm)],[47,140,150]) ).
cnf(1878,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[151,189]),190,theory(equality)]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : NUM568+1 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.12 % Command : run-snark %s %d
% 0.12/0.33 % Computer : n026.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 : Wed Jul 6 08:34:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.44 /export/starexec/sandbox2/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/sandbox2/benchmark/theBenchmark.p 2022-07-06T08:34:38
% 0.18/0.46 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n026.cluster.edu at 2022-07-06T08:34:38
% 1.08/1.30
% 1.08/1.30
% 1.08/1.30 #||
% 1.08/1.30 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 1.08/1.30 % SZS output start Refutation
% See solution above
% 1.08/1.30 ||#
% 1.08/1.30
% 1.08/1.30 ; Summary of computation:
% 1.08/1.30 ; 2888 formulas have been input or derived (from 197 formulas).
% 1.08/1.30 ; 1878 (65%) were retained. Of these,
% 1.08/1.30 ; 91 ( 5%) were simplified or subsumed later,
% 1.08/1.30 ; 1787 (95%) are still being kept.
% 1.08/1.30 ;
% 1.08/1.30 ; Run time in seconds excluding printing time:
% 1.08/1.30 ; 0.020 2% Read assertion file (1 call)
% 1.08/1.30 ; 0.006 1% Assert (80 calls)
% 1.08/1.30 ; 0.147 18% Process new row (2,665 calls)
% 1.08/1.30 ; 0.389 46% Resolution (392 calls)
% 1.08/1.30 ; 0.003 0% Paramodulation (196 calls)
% 1.08/1.30 ; 0.002 0% Condensing (1,380 calls)
% 1.08/1.30 ; 0.138 16% Forward subsumption (1,380 calls)
% 1.08/1.30 ; 0.031 4% Backward subsumption (1,292 calls)
% 1.08/1.30 ; 0.003 0% Clause clause subsumption (541 calls)
% 1.08/1.30 ; 0.040 5% Forward simplification (2,665 calls)
% 1.08/1.30 ; 0.013 2% Backward simplification (1,878 calls)
% 1.08/1.30 ; 0.005 1% Ordering (3,102 calls)
% 1.08/1.30 ; 0.000 0% Sortal reasoning (32 calls)
% 1.08/1.30 ; 0.001 0% Purity testing (1 call)
% 1.08/1.30 ; 0.039 5% Other
% 1.08/1.30 ; 0.837 Total
% 1.08/1.30 ; 0.838 Real time
% 1.08/1.30 ;
% 1.08/1.30 ; Term-hash-array has 4,017 terms in all.
% 1.08/1.30 ; Feature-vector-row-index has 1,217 entries (1,217 at peak, 1,292 added, 75 deleted).
% 1.08/1.30 ; Feature-vector-row-index has 10,357 nodes (10,357 at peak, 10,867 added, 510 deleted).
% 1.08/1.30 ; Retrieved 509 possibly forward subsuming rows in 1,380 calls.
% 1.08/1.30 ; Retrieved 288 possibly backward subsumed rows in 1,292 calls.
% 1.08/1.30 ; Path-index has 3,988 entries (3,988 at peak, 4,143 added, 155 deleted).
% 1.08/1.30 ; Path-index has 1,887 nodes (1,887 at peak, 1,918 added, 31 deleted).
% 1.08/1.30 ; Trie-index has 3,988 entries (3,988 at peak, 4,143 added, 155 deleted).
% 1.08/1.30 ; Trie-index has 8,948 nodes (8,948 at peak, 9,215 added, 267 deleted).
% 1.08/1.30 ; Retrieved 1,239 generalization terms in 9,532 calls.
% 1.08/1.30 ; Retrieved 585 instance terms in 585 calls.
% 1.08/1.30 ; Retrieved 947,015 unifiable terms in 34,491 calls.
% 1.08/1.30 ;
% 1.08/1.30 ; The agenda of rows to process has 137 entries:
% 1.08/1.30 ; 10 with value 10 10 with value 18 16 with value 34
% 1.08/1.30 ; 14 with value 11 2 with value 19 18 with value 35
% 1.08/1.30 ; 3 with value 12 1 with value 22 8 with value 37
% 1.08/1.30 ; 5 with value 13 3 with value 28 8 with value 38
% 1.08/1.30 ; 4 with value 15 20 with value 31 4 with value 39
% 1.08/1.30 ; 5 with value 16 2 with value 32 4 with value 41
% 1.08/1.30 ; The agenda of rows to give has 1590 entries:
% 1.08/1.30 ; 19 with value (4 7) 18 with value (4 20) 60 with value (4 33)
% 1.08/1.30 ; 51 with value (4 8) 41 with value (4 21) 90 with value (4 34)
% 1.08/1.30 ; 93 with value (4 9) 23 with value (4 22) 96 with value (4 35)
% 1.08/1.30 ; 141 with value (4 10) 23 with value (4 23) 18 with value (4 36)
% 1.08/1.30 ; 101 with value (4 11) 71 with value (4 24) 44 with value (4 37)
% 1.08/1.30 ; 65 with value (4 12) 35 with value (4 25) 32 with value (4 38)
% 1.08/1.30 ; 26 with value (4 13) 33 with value (4 26) 26 with value (4 39)
% 1.08/1.30 ; 7 with value (4 14) 14 with value (4 27) 28 with value (4 41)
% 1.08/1.30 ; 24 with value (4 15) 16 with value (4 28) 24 with value (4 42)
% 1.08/1.30 ; 23 with value (4 16) 1 with value (4 29) 1 with value (4 45)
% 1.08/1.30 ; 30 with value (4 17) 84 with value (4 30) 28 with value (4 47)
% 1.08/1.30 ; 35 with value (4 18) 97 with value (4 31) 4 with value (4 52)
% 1.08/1.30 ; 17 with value (4 19) 51 with value (4 32)
% 1.08/1.30 Evaluation took:
% 1.08/1.30 0.838 seconds of real time
% 1.08/1.30 0.79029 seconds of user run time
% 1.08/1.30 0.048685 seconds of system run time
% 1.08/1.30 [Run times include 0.064 seconds GC run time.]
% 1.08/1.30 0 calls to %EVAL
% 1.08/1.30 0 page faults and
% 1.08/1.30 63,638,888 bytes consed.
% 1.08/1.30 :PROOF-FOUND
% 1.08/1.30 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-07-06T08:34:39
% 1.08/1.30 :PROOF-FOUND
% 1.08/1.30 *
%------------------------------------------------------------------------------