TSTP Solution File: NUM009-1 by SNARK---20120808r022
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%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : NUM009-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n023.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 14:06:04 EDT 2022
% Result : Unsatisfiable 1.97s 2.18s
% Output : Refutation 1.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 2
% Number of leaves : 5
% Syntax : Number of clauses : 8 ( 5 unt; 1 nHn; 8 RR)
% Number of literals : 12 ( 0 equ; 5 neg)
% Maximal clause size : 3 ( 1 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-1 aty)
% Number of variables : 4 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(a2,axiom,
( ~ member(X,Y)
| little_set(X) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',a2) ).
cnf(infinity2,axiom,
member(empty_set,infinity),
file('/export/starexec/sandbox/benchmark/Axioms/SET003-0.ax',infinity2) ).
cnf(natural_numbers4,axiom,
( member(X,natural_numbers)
| ~ little_set(X)
| member(empty_set,f44(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM003-0.ax',natural_numbers4) ).
cnf(natural_numbers6,axiom,
( member(X,natural_numbers)
| ~ member(X,f44(X)) ),
file('/export/starexec/sandbox/benchmark/Axioms/NUM003-0.ax',natural_numbers6) ).
cnf(prove_zero_is_a_natural,negated_conjecture,
~ member(empty_set,natural_numbers),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_zero_is_a_natural) ).
cnf(281,plain,
little_set(empty_set),
inference('HYPERRESOLVE',[status(thm)],[a2,infinity2]) ).
cnf(320,plain,
~ member(empty_set,f44(empty_set)),
inference('UR-RESOLVE',[status(thm)],[natural_numbers6,prove_zero_is_a_natural]) ).
cnf(2143,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[natural_numbers4,281,prove_zero_is_a_natural]),320]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : NUM009-1 : TPTP v8.1.0. Bugfixed v1.2.1.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Thu Jul 7 12:28:26 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.44 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.45 *
% 0.19/0.45 *
% 0.19/0.45 #<PACKAGE "SNARK-USER">
% 0.19/0.45 *
% 0.19/0.45 SNARK-TPTP-OPTIONS
% 0.19/0.45 *
% 0.19/0.45 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.45 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.45 (USE-FACTORING :POS)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.45 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.45 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.45 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.45 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.45 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.45 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.45 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.45 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.45 (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.45 *
% 0.19/0.45 "."
% 0.19/0.45 *
% 0.19/0.45 ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T12:28:26
% 0.19/0.45 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n023.cluster.edu at 2022-07-07T12:28:26
% 1.97/2.18
% 1.97/2.18
% 1.97/2.18 #||
% 1.97/2.18 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.97/2.18 % SZS output start Refutation
% See solution above
% 1.97/2.18 ||#
% 1.97/2.18
% 1.97/2.18 ; Summary of computation:
% 1.97/2.18 ; 3128 formulas have been input or derived (from 224 formulas).
% 1.97/2.18 ; 2143 (69%) were retained. Of these,
% 1.97/2.18 ; 58 ( 3%) were simplified or subsumed later,
% 1.97/2.18 ; 2085 (97%) are still being kept.
% 1.97/2.18 ;
% 1.97/2.18 ; Run time in seconds:
% 1.97/2.18 ; 0.032 2% Read assertion file (1 call)
% 1.97/2.18 ; 0.005 0% Assert (220 calls)
% 1.97/2.18 ; 0.232 13% Process new row (2,425 calls)
% 1.97/2.18 ; 1.120 65% Resolution (446 calls)
% 1.97/2.18 ; 0.010 1% Paramodulation (223 calls)
% 1.97/2.18 ; 0.000 0% Factoring (18 calls)
% 1.97/2.18 ; 0.027 2% Condensing (2,256 calls)
% 1.97/2.18 ; 0.134 8% Forward subsumption (2,256 calls)
% 1.97/2.18 ; 0.063 4% Backward subsumption (1,996 calls)
% 1.97/2.18 ; 0.011 1% Clause clause subsumption (2,908 calls)
% 1.97/2.18 ; 0.046 3% Forward simplification (2,425 calls)
% 1.97/2.18 ; 0.004 0% Backward simplification (2,085 calls)
% 1.97/2.18 ; 0.012 1% Ordering (6,443 calls)
% 1.97/2.18 ; 0.000 0% Sortal reasoning (32 calls)
% 1.97/2.18 ; 0.001 0% Purity testing (1 call)
% 1.97/2.18 ; 0.029 2% Other
% 1.97/2.18 ; 1.726 Total
% 1.97/2.18 ; 1.726 Real time
% 1.97/2.18 ;
% 1.97/2.18 ; Term-hash-array has 6,317 terms in all.
% 1.97/2.18 ; Feature-vector-row-index has 1,996 entries (1,996 at peak, 1,996 added, 0 deleted).
% 1.97/2.18 ; Feature-vector-row-index has 12,429 nodes (12,429 at peak, 12,429 added, 0 deleted).
% 1.97/2.18 ; Retrieved 4,235 possibly forward subsuming rows in 2,256 calls.
% 1.97/2.18 ; Retrieved 442 possibly backward subsumed rows in 1,996 calls.
% 1.97/2.18 ; Path-index has 6,329 entries (6,329 at peak, 6,329 added, 0 deleted).
% 1.97/2.18 ; Path-index has 33,390 nodes (33,390 at peak, 33,390 added, 0 deleted).
% 1.97/2.18 ; Trie-index has 6,329 entries (6,329 at peak, 6,329 added, 0 deleted).
% 1.97/2.18 ; Trie-index has 48,451 nodes (48,451 at peak, 48,451 added, 0 deleted).
% 1.97/2.18 ; Retrieved 4,944 generalization terms in 10,121 calls.
% 1.97/2.18 ; Retrieved 91 instance terms in 88 calls.
% 1.97/2.18 ; Retrieved 2,372,293 unifiable terms in 27,490 calls.
% 1.97/2.18 ;
% 1.97/2.18 ; The agenda of rows to process has 606 entries:
% 1.97/2.18 ; 7 with value 8 24 with value 26 9 with value 41
% 1.97/2.18 ; 4 with value 9 8 with value 27 2 with value 42
% 1.97/2.18 ; 11 with value 11 27 with value 28 2 with value 43
% 1.97/2.18 ; 11 with value 12 35 with value 29 2 with value 44
% 1.97/2.18 ; 17 with value 15 14 with value 30 2 with value 45
% 1.97/2.18 ; 8 with value 16 16 with value 31 2 with value 46
% 1.97/2.18 ; 58 with value 17 1 with value 32 2 with value 48
% 1.97/2.18 ; 2 with value 18 58 with value 33 2 with value 52
% 1.97/2.18 ; 12 with value 19 1 with value 34 12 with value 56
% 1.97/2.18 ; 22 with value 20 19 with value 35 2 with value 60
% 1.97/2.18 ; 57 with value 21 1 with value 36 2 with value 66
% 1.97/2.18 ; 4 with value 22 4 with value 37 2 with value 67
% 1.97/2.18 ; 22 with value 23 3 with value 38 14 with value 76
% 1.97/2.18 ; 47 with value 24 17 with value 39 4 with value 83
% 1.97/2.18 ; 19 with value 25 14 with value 40 4 with value 135
% 1.97/2.18 ; The agenda of rows to give has 1861 entries:
% 1.97/2.18 ; 2 with value (4 4) 34 with value (4 33) 23 with value (4 61)
% 1.97/2.18 ; 12 with value (4 5) 46 with value (4 34) 4 with value (4 62)
% 1.97/2.18 ; 6 with value (4 6) 15 with value (4 35) 3 with value (4 64)
% 1.97/2.18 ; 17 with value (4 7) 65 with value (4 36) 18 with value (4 65)
% 1.97/2.18 ; 17 with value (4 8) 8 with value (4 37) 2 with value (4 66)
% 1.97/2.18 ; 7 with value (4 9) 86 with value (4 38) 4 with value (4 67)
% 1.97/2.18 ; 10 with value (4 10) 32 with value (4 39) 2 with value (4 68)
% 1.97/2.18 ; 33 with value (4 11) 30 with value (4 40) 1 with value (4 70)
% 1.97/2.18 ; 37 with value (4 12) 16 with value (4 41) 4 with value (4 74)
% 1.97/2.18 ; 8 with value (4 13) 52 with value (4 42) 14 with value (4 75)
% 1.97/2.18 ; 32 with value (4 14) 28 with value (4 43) 1 with value (4 78)
% 1.97/2.18 ; 15 with value (4 15) 3 with value (4 44) 4 with value (4 82)
% 1.97/2.18 ; 37 with value (4 16) 35 with value (4 45) 2 with value (4 85)
% 1.97/2.18 ; 57 with value (4 17) 13 with value (4 46) 2 with value (4 86)
% 1.97/2.18 ; 117 with value (4 18) 24 with value (4 47) 2 with value (4 88)
% 1.97/2.18 ; 58 with value (4 19) 2 with value (4 48) 2 with value (4 89)
% 1.97/2.18 ; 39 with value (4 20) 31 with value (4 49) 2 with value (4 90)
% 1.97/2.18 ; 72 with value (4 21) 10 with value (4 50) 1 with value (4 91)
% 1.97/2.18 ; 64 with value (4 22) 6 with value (4 51) 4 with value (4 94)
% 1.97/2.18 ; 79 with value (4 23) 2 with value (4 52) 14 with value (4 95)
% 1.97/2.18 ; 48 with value (4 24) 18 with value (4 53) 14 with value (4 99)
% 1.97/2.18 ; 16 with value (4 25) 9 with value (4 54) 4 with value (4 102)
% 1.97/2.18 ; 10 with value (4 26) 12 with value (4 55) 2 with value (4 103)
% 1.97/2.18 ; 59 with value (4 27) 23 with value (4 56) 4 with value (4 105)
% 1.97/2.18 ; 59 with value (4 28) 2 with value (4 57) 4 with value (4 106)
% 1.97/2.18 ; 29 with value (4 29) 2 with value (4 58) 4 with value (4 134)
% 1.97/2.18 ; 43 with value (4 30) 4 with value (4 59) 4 with value (4 154)
% 1.97/2.18 ; 27 with value (4 31) 2 with value (4 60) 4 with value (4 158)
% 1.97/2.18 ; 92 with value (4 32)
% 1.97/2.18 Evaluation took:
% 1.97/2.18 1.728 seconds of real time
% 1.97/2.18 1.666642 seconds of user run time
% 1.97/2.18 0.061151 seconds of system run time
% 1.97/2.18 [Run times include 0.149 seconds GC run time.]
% 1.97/2.18 0 calls to %EVAL
% 1.97/2.18 0 page faults and
% 1.97/2.18 125,603,576 bytes consed.
% 1.97/2.18 :PROOF-FOUND
% 1.97/2.18 ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-07-07T12:28:28
% 1.97/2.18 :PROOF-FOUND
% 1.97/2.18 *
%------------------------------------------------------------------------------