TSTP Solution File: GEO180+2 by SNARK---20120808r022

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%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO180+2 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n015.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 06:14:34 EDT 2022

% Result   : Theorem 0.22s 0.54s
% Output   : Refutation 0.22s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    4
%            Number of leaves      :    9
% Syntax   : Number of clauses     :   17 (  12 unt;   3 nHn;  15 RR)
%            Number of literals    :   30 (   0 equ;  15 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    4 (   3 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   17 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(1,axiom,
    ~ distinct_points(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart1) ).

cnf(4,axiom,
    ( ~ distinct_points(X,Y)
    | distinct_points(X,Z)
    | distinct_points(Y,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',apart4) ).

cnf(7,axiom,
    ( ~ distinct_points(X,Y)
    | ~ apart_point_and_line(Z,line_connecting(X,Y))
    | distinct_points(Z,X) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).

cnf(8,axiom,
    ( ~ distinct_points(X,Y)
    | ~ apart_point_and_line(Z,line_connecting(X,Y))
    | distinct_points(Z,Y) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',con1) ).

cnf(11,axiom,
    ( ~ distinct_points(X,Y)
    | ~ distinct_lines(Z,U)
    | apart_point_and_line(X,Z)
    | apart_point_and_line(X,U)
    | apart_point_and_line(Y,Z)
    | apart_point_and_line(Y,U) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',cu1) ).

cnf(13,axiom,
    ( ~ apart_point_and_line(X,Y)
    | distinct_lines(Y,Z)
    | apart_point_and_line(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO008+0.ax',ceq2) ).

cnf(15,negated_conjecture,
    distinct_points('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(16,negated_conjecture,
    apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(17,negated_conjecture,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV3','SKOLEMAAAV2')),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(18,plain,
    distinct_points('SKOLEMAAAV2','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[4,15,1]) ).

cnf(23,plain,
    ~ apart_point_and_line('SKOLEMAAAV1',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[7,15,1]) ).

cnf(24,plain,
    distinct_points('SKOLEMAAAV3','SKOLEMAAAV2'),
    inference('HYPERRESOLVE',[status(thm)],[8,15,16]) ).

cnf(25,plain,
    ~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV1','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[8,15,1]) ).

cnf(33,plain,
    ~ apart_point_and_line('SKOLEMAAAV2',line_connecting('SKOLEMAAAV3','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[8,24,1]) ).

cnf(34,plain,
    ~ apart_point_and_line('SKOLEMAAAV3',line_connecting('SKOLEMAAAV3','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[7,24,1]) ).

cnf(46,plain,
    ~ distinct_lines(line_connecting('SKOLEMAAAV1','SKOLEMAAAV2'),line_connecting('SKOLEMAAAV3','SKOLEMAAAV2')),
    inference('UR-RESOLVE',[status(thm)],[11,33,18,25,23,17]) ).

cnf(48,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,34,16]),46]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13  % Problem  : GEO180+2 : TPTP v8.1.0. Released v3.3.0.
% 0.11/0.14  % Command  : run-snark %s %d
% 0.14/0.36  % Computer : n015.cluster.edu
% 0.14/0.36  % Model    : x86_64 x86_64
% 0.14/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36  % Memory   : 8042.1875MB
% 0.14/0.36  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36  % CPULimit : 300
% 0.14/0.36  % WCLimit  : 600
% 0.14/0.36  % DateTime : Sat Jun 18 06:10:13 EDT 2022
% 0.14/0.36  % CPUTime  : 
% 0.22/0.49  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.50  * 
% 0.22/0.50  * 
% 0.22/0.50  #<PACKAGE "SNARK-USER">
% 0.22/0.50  * 
% 0.22/0.50  SNARK-TPTP-OPTIONS
% 0.22/0.50  * 
% 0.22/0.50  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.22/0.50   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.22/0.50   (USE-FACTORING :POS)
% 0.22/0.50   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.22/0.50   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.22/0.50   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.22/0.50   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.22/0.50   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.22/0.50   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.22/0.51   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.22/0.51   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.22/0.51   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.22/0.51   (DECLARE-TPTP-SYMBOLS2))
% 0.22/0.51  * 
% 0.22/0.51  "."
% 0.22/0.51  * 
% 0.22/0.51  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T06:10:13
% 0.22/0.51  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n015.cluster.edu at 2022-06-18T06:10:13
% 0.22/0.54  
% 0.22/0.54  
% 0.22/0.54  #||
% 0.22/0.54  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.22/0.54  % SZS output start Refutation
% See solution above
% 0.22/0.55  ||#
% 0.22/0.55  
% 0.22/0.55  ; Summary of computation:
% 0.22/0.55  ;       125 formulas have been input or derived (from 32 formulas).
% 0.22/0.55  ;        48 (38%) were retained.  Of these,
% 0.22/0.55  ;           48 (100%) are still being kept.
% 0.22/0.55  ; 
% 0.22/0.55  ; Run time in seconds excluding printing time:
% 0.22/0.55  ;     0.004  10%   Read assertion file          (1 call)
% 0.22/0.55  ;     0.000   0%   Assert                       (13 calls)
% 0.22/0.55  ;     0.001   2%   Process new row              (95 calls)
% 0.22/0.55  ;     0.009  22%   Resolution                   (62 calls)
% 0.22/0.55  ;     0.001   2%   Paramodulation               (31 calls)
% 0.22/0.55  ;     0.000   0%   Factoring                    (1 call)
% 0.22/0.55  ;     0.000   0%   Condensing                   (20 calls)
% 0.22/0.55  ;     0.000   0%   Forward subsumption          (20 calls)
% 0.22/0.55  ;     0.000   0%   Backward subsumption         (17 calls)
% 0.22/0.55  ;     0.000   0%   Clause clause subsumption    (8 calls)
% 0.22/0.55  ;     0.000   0%   Forward simplification       (95 calls)
% 0.22/0.55  ;     0.000   0%   Backward simplification      (48 calls)
% 0.22/0.55  ;     0.000   0%   Ordering                     (4 calls)
% 0.22/0.55  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.22/0.55  ;     0.000   0%   Purity testing               (1 call)
% 0.22/0.55  ;     0.025  62%   Other
% 0.22/0.55  ;     0.040        Total
% 0.22/0.55  ;     0.041        Real time
% 0.22/0.55  ; 
% 0.22/0.55  ; Term-hash-array has 66 terms in all.
% 0.22/0.55  ; Feature-vector-row-index has 17 entries (17 at peak, 17 added, 0 deleted).
% 0.22/0.55  ; Feature-vector-row-index has 43 nodes (43 at peak, 43 added, 0 deleted).
% 0.22/0.55  ;  Retrieved 6 possibly forward subsuming rows in 20 calls.
% 0.22/0.55  ;  Retrieved 2 possibly backward subsumed rows in 17 calls.
% 0.22/0.55  ; Path-index has 69 entries (69 at peak, 69 added, 0 deleted).
% 0.22/0.55  ; Path-index has 81 nodes (81 at peak, 81 added, 0 deleted).
% 0.22/0.55  ; Trie-index has 69 entries (69 at peak, 69 added, 0 deleted).
% 0.22/0.55  ; Trie-index has 105 nodes (105 at peak, 105 added, 0 deleted).
% 0.22/0.55  ; Retrieved 98 generalization terms in 113 calls.
% 0.22/0.55  ; Retrieved 30 instance terms in 30 calls.
% 0.22/0.55  ; Retrieved 2,905 unifiable terms in 633 calls.
% 0.22/0.55  ; 
% 0.22/0.55  ; The agenda of rows to process has 8 entries:
% 0.22/0.55  ;     8 with value 12
% 0.22/0.55  ; The agenda of rows to give has 16 entries:
% 0.22/0.55  ;     6 with value (4 10)          9 with value (4 12)           1 with value (4 14)
% 0.22/0.55  Evaluation took:
% 0.22/0.55    0.042 seconds of real time
% 0.22/0.55    0.030434 seconds of user run time
% 0.22/0.55    0.011379 seconds of system run time
% 0.22/0.55    0 calls to %EVAL
% 0.22/0.55    0 page faults and
% 0.22/0.55    2,882,256 bytes consed.
% 0.22/0.55  :PROOF-FOUND
% 0.22/0.55  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-18T06:10:13
% 0.22/0.55  :PROOF-FOUND
% 0.22/0.55  * 
%------------------------------------------------------------------------------