TSTP Solution File: GEO603+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO603+1 : TPTP v8.1.0. Released v7.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n004.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 : Sat Jul 16 06:16:55 EDT 2022

% Result   : Theorem 1.35s 1.53s
% Output   : Refutation 1.35s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    9
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   23 (  17 unt;   0 nHn;  23 RR)
%            Number of literals    :   31 (   0 equ;  12 neg)
%            Maximal clause size   :    3 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-4 aty)
%            Number of functors    :    8 (   8 usr;   7 con; 0-4 aty)
%            Number of variables   :   25 (   1 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ( ~ coll(X,Y,Z)
    | coll(X,Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD1) ).

cnf(2,axiom,
    ( ~ coll(X,Y,Z)
    | ~ coll(X,Y,U)
    | coll(Z,U,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD3) ).

cnf(7,axiom,
    ( ~ perp(X,Y,Z,U)
    | perp(Z,U,X,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD8) ).

cnf(8,axiom,
    ( ~ perp(X,Y,Z,U)
    | ~ perp(Z,U,V,W)
    | para(X,Y,V,W) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD9) ).

cnf(66,axiom,
    ( ~ para(X,Y,X,Z)
    | coll(X,Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleD66) ).

cnf(98,axiom,
    ( ~ circle(X,Y,Z,U)
    | perp('SKOLEMAAAV12'(X,Y,Z,U),Y,Y,X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO012+0.ax',ruleX11) ).

cnf(112,negated_conjecture,
    circle('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV23'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618065) ).

cnf(116,negated_conjecture,
    circle('SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV26'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618065) ).

cnf(117,negated_conjecture,
    ~ coll('SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV24'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',exemplo6GDDFULL618065) ).

cnf(123,plain,
    ~ coll('SKOLEMAAAV27','SKOLEMAAAV24','SKOLEMAAAV21'),
    inference('UR-RESOLVE',[status(thm)],[1,117]) ).

cnf(135,plain,
    perp('SKOLEMAAAV12'('SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV26'),'SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[98,116]) ).

cnf(136,plain,
    perp('SKOLEMAAAV12'('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV23'),'SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV24'),
    inference('HYPERRESOLVE',[status(thm)],[98,112]) ).

cnf(1546,plain,
    perp('SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV12'('SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV25','SKOLEMAAAV26'),'SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[7,135]) ).

cnf(1552,plain,
    perp('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV12'('SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV22','SKOLEMAAAV23'),'SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[7,136]) ).

cnf(1821,plain,
    para('SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV21','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[8,1546,135]) ).

cnf(1828,plain,
    coll('SKOLEMAAAV21','SKOLEMAAAV27','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[66,1821]) ).

cnf(1844,plain,
    coll('SKOLEMAAAV27','SKOLEMAAAV27','SKOLEMAAAV21'),
    inference('HYPERRESOLVE',[status(thm)],[2,1828,1828]) ).

cnf(1872,plain,
    coll('SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV27'),
    inference('HYPERRESOLVE',[status(thm)],[2,1844,1844]) ).

cnf(1911,plain,
    ~ coll('SKOLEMAAAV21','SKOLEMAAAV21','SKOLEMAAAV24'),
    inference('UR-RESOLVE',[status(thm)],[2,1872,123]) ).

cnf(2013,plain,
    ~ coll('SKOLEMAAAV24',X,'SKOLEMAAAV21'),
    inference('UR-RESOLVE',[status(thm)],[2,1911]) ).

cnf(2023,plain,
    para('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV21','SKOLEMAAAV24'),
    inference('HYPERRESOLVE',[status(thm)],[8,1552,136]) ).

cnf(2029,plain,
    coll('SKOLEMAAAV21','SKOLEMAAAV24','SKOLEMAAAV24'),
    inference('HYPERRESOLVE',[status(thm)],[66,2023]) ).

cnf(2045,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('HYPERRESOLVE',[status(thm)],[2,2029,2029]),2013]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem  : GEO603+1 : TPTP v8.1.0. Released v7.5.0.
% 0.07/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n004.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 : Sat Jun 18 05:02:23 EDT 2022
% 0.13/0.35  % CPUTime  : 
% 0.20/0.47  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.48  * 
% 0.20/0.48  * 
% 0.20/0.48  #<PACKAGE "SNARK-USER">
% 0.20/0.48  * 
% 0.20/0.48  SNARK-TPTP-OPTIONS
% 0.20/0.48  * 
% 0.20/0.48  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.48   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.48   (USE-FACTORING :POS)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48   (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48  * 
% 0.20/0.48  "."
% 0.20/0.48  * 
% 0.20/0.48  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T05:02:23
% 0.20/0.48  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n004.cluster.edu at 2022-06-18T05:02:23
% 0.20/0.52  
% 0.20/0.53  WARNING: In quantification, variable ?M is being rebound.
% 0.20/0.53  ; Recognized commutativity assertion (OR (NOT (|coll| ?X ?Y ?Z)) (|coll| ?Y ?X ?Z)).
% 1.35/1.53  ; Declaring coll to be commutative.
% 1.35/1.53  
% 1.35/1.53  #||
% 1.35/1.53  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 1.35/1.53  % SZS output start Refutation
% See solution above
% 1.35/1.53  ||#
% 1.35/1.53  
% 1.35/1.53  ; Summary of computation:
% 1.35/1.53  ;      6308 formulas have been input or derived (from 375 formulas).
% 1.35/1.53  ;      2045 (32%) were retained.  Of these,
% 1.35/1.53  ;           44 ( 2%) were simplified or subsumed later,
% 1.35/1.53  ;         2001 (98%) are still being kept.
% 1.35/1.53  ; 
% 1.35/1.53  ; Run time in seconds excluding printing time:
% 1.35/1.53  ;     0.031   3%   Read assertion file          (1 call)
% 1.35/1.53  ;     0.004   0%   Assert                       (95 calls)
% 1.35/1.53  ;     0.095   9%   Process new row              (6,032 calls)
% 1.35/1.53  ;     0.807  77%   Resolution                   (748 calls)
% 1.35/1.53  ;     0.001   0%   Paramodulation               (374 calls)
% 1.35/1.53  ;     0.002   0%   Condensing                   (116 calls)
% 1.35/1.53  ;     0.000   0%   Forward subsumption          (116 calls)
% 1.35/1.53  ;     0.002   0%   Backward subsumption         (115 calls)
% 1.35/1.53  ;     0.001   0%   Clause clause subsumption    (151 calls)
% 1.35/1.53  ;     0.051   5%   Forward simplification       (6,032 calls)
% 1.35/1.53  ;     0.011   1%   Backward simplification      (2,045 calls)
% 1.35/1.53  ;     0.000   0%   Ordering                     (12 calls)
% 1.35/1.53  ;     0.000   0%   Sortal reasoning             (32 calls)
% 1.35/1.53  ;     0.000   0%   Purity testing               (1 call)
% 1.35/1.53  ;     0.043   4%   Other
% 1.35/1.53  ;     1.048        Total
% 1.35/1.53  ;     1.051        Real time
% 1.35/1.53  ; 
% 1.35/1.53  ; Term-hash-array has 2,560 terms in all.
% 1.35/1.53  ; Feature-vector-row-index has 115 entries (115 at peak, 115 added, 0 deleted).
% 1.35/1.53  ; Feature-vector-row-index has 194 nodes (194 at peak, 194 added, 0 deleted).
% 1.35/1.53  ;  Retrieved 140 possibly forward subsuming rows in 116 calls.
% 1.35/1.53  ;  Retrieved 45 possibly backward subsumed rows in 115 calls.
% 1.35/1.53  ; Path-index has 2,523 entries (2,523 at peak, 2,567 added, 44 deleted).
% 1.35/1.53  ; Path-index has 1,169 nodes (1,169 at peak, 1,169 added, 0 deleted).
% 1.35/1.53  ; Trie-index has 2,523 entries (2,523 at peak, 2,567 added, 44 deleted).
% 1.35/1.53  ; Trie-index has 6,932 nodes (6,932 at peak, 7,016 added, 84 deleted).
% 1.35/1.53  ; Retrieved 4,285 generalization terms in 5,919 calls.
% 1.35/1.53  ; Retrieved 2,176 instance terms in 1,929 calls.
% 1.35/1.53  ; Retrieved 1,201,791 unifiable terms in 75,812 calls.
% 1.35/1.53  ; 
% 1.35/1.53  ; The agenda of rows to process has 20 entries:
% 1.35/1.53  ;     9 with value 10              8 with value 17               1 with value 26
% 1.35/1.53  ;     1 with value 15              1 with value 21
% 1.35/1.53  ; The agenda of rows to give has 1634 entries:
% 1.35/1.53  ;     1 with value (4 10)        692 with value (4 18)           5 with value (4 24)
% 1.35/1.53  ;    87 with value (4 13)          6 with value (4 19)           1 with value (4 26)
% 1.35/1.53  ;   263 with value (4 14)         52 with value (4 20)           2 with value (4 27)
% 1.35/1.53  ;   188 with value (4 15)          3 with value (4 21)           5 with value (4 29)
% 1.35/1.53  ;   178 with value (4 16)          2 with value (4 22)           2 with value (4 30)
% 1.35/1.53  ;   147 with value (4 17)
% 1.35/1.53  Evaluation took:
% 1.35/1.53    1.051 seconds of real time
% 1.35/1.53    1.00037 seconds of user run time
% 1.35/1.53    0.050762 seconds of system run time
% 1.35/1.53    [Run times include 0.04 seconds GC run time.]
% 1.35/1.53    0 calls to %EVAL
% 1.35/1.53    0 page faults and
% 1.35/1.53    73,443,256 bytes consed.
% 1.35/1.53  :PROOF-FOUND
% 1.35/1.53  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T05:02:25
% 1.35/1.53  :PROOF-FOUND
% 1.35/1.53  * 
%------------------------------------------------------------------------------