TSTP Solution File: GEO195+3 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO195+3 : TPTP v8.1.0. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n022.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 06:14:47 EDT 2022

% Result   : Theorem 0.39s 0.57s
% Output   : Refutation 0.39s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    3
%            Number of leaves      :   10
% Syntax   : Number of clauses     :   18 (  12 unt;   4 nHn;  15 RR)
%            Number of literals    :   31 (   0 equ;  15 neg)
%            Maximal clause size   :    6 (   1 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    5 (   4 usr;   1 prp; 0-2 aty)
%            Number of functors    :    4 (   4 usr;   3 con; 0-2 aty)
%            Number of variables   :   18 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ~ convergent_lines(X,X),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',apart3) ).

cnf(6,axiom,
    ( ~ convergent_lines(X,Y)
    | convergent_lines(X,Z)
    | convergent_lines(Y,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ax6) ).

cnf(9,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(intersection_point(X,Y),X) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci3) ).

cnf(10,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(intersection_point(X,Y),Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ci4) ).

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/sandbox/benchmark/Axioms/GEO006+0.ax',cu1) ).

cnf(12,axiom,
    ( ~ apart_point_and_line(X,Y)
    | distinct_points(X,Z)
    | apart_point_and_line(Z,Y) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq1) ).

cnf(14,axiom,
    ( ~ convergent_lines(X,Y)
    | distinct_lines(Y,Z)
    | convergent_lines(X,Z) ),
    file('/export/starexec/sandbox/benchmark/Axioms/GEO006+0.ax',ceq3) ).

cnf(44,negated_conjecture,
    convergent_lines('SKOLEMAAAV1','SKOLEMAAAV2'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(47,negated_conjecture,
    apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(48,negated_conjecture,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV3'),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',con) ).

cnf(66,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[9,44]) ).

cnf(69,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),'SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[10,44]) ).

cnf(72,plain,
    convergent_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[6,44,3]) ).

cnf(79,plain,
    distinct_points(intersection_point('SKOLEMAAAV1','SKOLEMAAAV2'),intersection_point('SKOLEMAAAV2','SKOLEMAAAV1')),
    inference('UR-RESOLVE',[status(thm)],[12,47,48]) ).

cnf(85,plain,
    distinct_lines('SKOLEMAAAV2','SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[14,44,3]) ).

cnf(131,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV1'),
    inference('UR-RESOLVE',[status(thm)],[10,72]) ).

cnf(132,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAV2','SKOLEMAAAV1'),'SKOLEMAAAV2'),
    inference('UR-RESOLVE',[status(thm)],[9,72]) ).

cnf(288,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[11,132,85,69,66,131]),79]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12  % Problem  : GEO195+3 : TPTP v8.1.0. Released v4.0.0.
% 0.03/0.13  % Command  : run-snark %s %d
% 0.13/0.34  % Computer : n022.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 04:50:32 EDT 2022
% 0.13/0.34  % CPUTime  : 
% 0.19/0.45  /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.47  * 
% 0.19/0.47  * 
% 0.19/0.47  #<PACKAGE "SNARK-USER">
% 0.19/0.47  * 
% 0.19/0.47  SNARK-TPTP-OPTIONS
% 0.19/0.47  * 
% 0.19/0.47  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.19/0.47   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.19/0.47   (USE-FACTORING :POS)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.19/0.47   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.19/0.47   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.19/0.47   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.19/0.47   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.19/0.47   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.19/0.47   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.19/0.47   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.19/0.47   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.19/0.47   (DECLARE-TPTP-SYMBOLS2))
% 0.19/0.47  * 
% 0.19/0.47  "."
% 0.19/0.47  * 
% 0.19/0.47  ; Begin refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:50:32
% 0.19/0.47  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n022.cluster.edu at 2022-06-18T04:50:32
% 0.39/0.57  
% 0.39/0.57  
% 0.39/0.57  #||
% 0.39/0.57  % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.39/0.57  % SZS output start Refutation
% See solution above
% 0.39/0.58  ||#
% 0.39/0.58  
% 0.39/0.58  ; Summary of computation:
% 0.39/0.58  ;       739 formulas have been input or derived (from 109 formulas).
% 0.39/0.58  ;       288 (39%) were retained.  Of these,
% 0.39/0.58  ;            1 ( 0%) were simplified or subsumed later,
% 0.39/0.58  ;          287 (100%) are still being kept.
% 0.39/0.58  ; 
% 0.39/0.58  ; Run time in seconds excluding printing time:
% 0.39/0.58  ;     0.011  11%   Read assertion file          (1 call)
% 0.39/0.58  ;     0.002   2%   Assert                       (36 calls)
% 0.39/0.58  ;     0.013  13%   Process new row              (690 calls)
% 0.39/0.58  ;     0.021  21%   Resolution                   (216 calls)
% 0.39/0.58  ;     0.000   0%   Paramodulation               (108 calls)
% 0.39/0.58  ;     0.000   0%   Factoring                    (15 calls)
% 0.39/0.58  ;     0.002   2%   Condensing                   (194 calls)
% 0.39/0.58  ;     0.006   6%   Forward subsumption          (194 calls)
% 0.39/0.58  ;     0.004   4%   Backward subsumption         (146 calls)
% 0.39/0.58  ;     0.003   3%   Clause clause subsumption    (640 calls)
% 0.39/0.58  ;     0.009   9%   Forward simplification       (690 calls)
% 0.39/0.58  ;     0.004   4%   Backward simplification      (288 calls)
% 0.39/0.58  ;     0.000   0%   Ordering                     (339 calls)
% 0.39/0.58  ;     0.000   0%   Sortal reasoning             (32 calls)
% 0.39/0.58  ;     0.000   0%   Purity testing               (1 call)
% 0.39/0.58  ;     0.026  26%   Other
% 0.39/0.58  ;     0.101        Total
% 0.39/0.58  ;     0.103        Real time
% 0.39/0.58  ; 
% 0.39/0.58  ; Term-hash-array has 262 terms in all.
% 0.39/0.58  ; Feature-vector-row-index has 145 entries (145 at peak, 146 added, 1 deleted).
% 0.39/0.58  ; Feature-vector-row-index has 245 nodes (245 at peak, 245 added, 0 deleted).
% 0.39/0.58  ;  Retrieved 563 possibly forward subsuming rows in 194 calls.
% 0.39/0.58  ;  Retrieved 144 possibly backward subsumed rows in 146 calls.
% 0.39/0.58  ; Path-index has 265 entries (265 at peak, 265 added, 0 deleted).
% 0.39/0.58  ; Path-index has 405 nodes (405 at peak, 405 added, 0 deleted).
% 0.39/0.58  ; Trie-index has 265 entries (265 at peak, 265 added, 0 deleted).
% 0.39/0.58  ; Trie-index has 484 nodes (484 at peak, 484 added, 0 deleted).
% 0.39/0.58  ; Retrieved 1,333 generalization terms in 1,360 calls.
% 0.39/0.58  ; Retrieved 160 instance terms in 141 calls.
% 0.39/0.58  ; Retrieved 10,533 unifiable terms in 2,057 calls.
% 0.39/0.58  ; 
% 0.39/0.58  ; The agenda of rows to process has 6 entries:
% 0.39/0.58  ;     6 with value 12
% 0.39/0.58  ; The agenda of rows to give has 178 entries:
% 0.39/0.58  ;    34 with value (4 9)          24 with value (4 12)          21 with value (4 18)
% 0.39/0.58  ;    12 with value (4 10)         21 with value (4 13)           3 with value (4 22)
% 0.39/0.58  ;    14 with value (4 11)         49 with value (4 14)
% 0.39/0.58  Evaluation took:
% 0.39/0.58    0.103 seconds of real time
% 0.39/0.58    0.091131 seconds of user run time
% 0.39/0.58    0.011991 seconds of system run time
% 0.39/0.58    0 calls to %EVAL
% 0.39/0.58    0 page faults and
% 0.39/0.58    5,973,952 bytes consed.
% 0.39/0.58  :PROOF-FOUND
% 0.39/0.58  ; End refute-file /export/starexec/sandbox/benchmark/theBenchmark.p 2022-06-18T04:50:32
% 0.39/0.58  :PROOF-FOUND
% 0.39/0.58  * 
%------------------------------------------------------------------------------