TSTP Solution File: GEO196+1 by SNARK---20120808r022

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : SNARK---20120808r022
% Problem  : GEO196+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run-snark %s %d

% Computer : n032.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 0.14s 0.42s
% Output   : Refutation 0.14s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    5
%            Number of leaves      :   11
% Syntax   : Number of clauses     :   20 (  14 unt;   4 nHn;  18 RR)
%            Number of literals    :   32 (   0 equ;  17 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    :    5 (   5 usr;   4 con; 0-2 aty)
%            Number of variables   :   15 (   0 sgn)

% Comments : 
%------------------------------------------------------------------------------
cnf(3,axiom,
    ~ convergent_lines(X,X),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',apart3) ).

cnf(9,axiom,
    ( ~ convergent_lines(X,Y)
    | ~ apart_point_and_line(intersection_point(X,Y),X) ),
    file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq1) ).

cnf(14,axiom,
    ( ~ convergent_lines(X,Y)
    | distinct_lines(Y,Z)
    | convergent_lines(X,Z) ),
    file('/export/starexec/sandbox2/benchmark/Axioms/GEO006+0.ax',ceq3) ).

cnf(15,negated_conjecture,
    convergent_lines('SKOLEMAAAP1','SKOLEMAAAP2'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(16,negated_conjecture,
    convergent_lines('SKOLEMAAAP3','SKOLEMAAAP4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(17,negated_conjecture,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAP1','SKOLEMAAAP2'),'SKOLEMAAAP3'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(18,negated_conjecture,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAP1','SKOLEMAAAP2'),'SKOLEMAAAP4'),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(19,negated_conjecture,
    ( apart_point_and_line(intersection_point('SKOLEMAAAP3','SKOLEMAAAP4'),'SKOLEMAAAP1')
    | apart_point_and_line(intersection_point('SKOLEMAAAP3','SKOLEMAAAP4'),'SKOLEMAAAP2') ),
    file('/export/starexec/sandbox2/benchmark/theBenchmark.p',con) ).

cnf(20,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAP3','SKOLEMAAAP4'),'SKOLEMAAAP3'),
    inference('UR-RESOLVE',[status(thm)],[9,16]) ).

cnf(21,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAP1','SKOLEMAAAP2'),'SKOLEMAAAP1'),
    inference('UR-RESOLVE',[status(thm)],[9,15]) ).

cnf(22,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAP3','SKOLEMAAAP4'),'SKOLEMAAAP4'),
    inference('UR-RESOLVE',[status(thm)],[10,16]) ).

cnf(23,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAP1','SKOLEMAAAP2'),'SKOLEMAAAP2'),
    inference('UR-RESOLVE',[status(thm)],[10,15]) ).

cnf(28,plain,
    distinct_lines('SKOLEMAAAP4','SKOLEMAAAP3'),
    inference('UR-RESOLVE',[status(thm)],[14,16,3]) ).

cnf(44,plain,
    ~ distinct_points(intersection_point('SKOLEMAAAP3','SKOLEMAAAP4'),intersection_point('SKOLEMAAAP1','SKOLEMAAAP2')),
    inference('UR-RESOLVE',[status(thm)],[11,22,28,20,18,17]) ).

cnf(62,plain,
    ~ apart_point_and_line(intersection_point('SKOLEMAAAP3','SKOLEMAAAP4'),'SKOLEMAAAP1'),
    inference('UR-RESOLVE',[status(thm)],[12,44,21]) ).

cnf(63,plain,
    apart_point_and_line(intersection_point('SKOLEMAAAP3','SKOLEMAAAP4'),'SKOLEMAAAP2'),
    inference('REWRITE',[status(thm)],[19,62]) ).

cnf(66,plain,
    $false,
    inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[12,44,23]),63]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09  % Problem  : GEO196+1 : TPTP v8.1.0. Released v3.3.0.
% 0.00/0.10  % Command  : run-snark %s %d
% 0.10/0.29  % Computer : n032.cluster.edu
% 0.10/0.29  % Model    : x86_64 x86_64
% 0.10/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.29  % Memory   : 8042.1875MB
% 0.10/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.29  % CPULimit : 300
% 0.10/0.29  % WCLimit  : 600
% 0.10/0.29  % DateTime : Fri Jun 17 18:01:16 EDT 2022
% 0.10/0.29  % CPUTime  : 
% 0.14/0.37  /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.38  * 
% 0.14/0.38  * 
% 0.14/0.39  #<PACKAGE "SNARK-USER">
% 0.14/0.39  * 
% 0.14/0.39  SNARK-TPTP-OPTIONS
% 0.14/0.39  * 
% 0.14/0.39  ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.14/0.39   (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.14/0.39   (USE-FACTORING :POS)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.14/0.39   (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.14/0.39   (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.14/0.39   (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.14/0.39   (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.14/0.39   (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.14/0.39   (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.14/0.39   (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.14/0.39   (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.14/0.39   (DECLARE-TPTP-SYMBOLS2))
% 0.14/0.39  * 
% 0.14/0.39  "."
% 0.14/0.39  * 
% 0.14/0.39  ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T18:01:16
% 0.14/0.39  ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n032.cluster.edu at 2022-06-17T18:01:16
% 0.14/0.42  
% 0.14/0.42  
% 0.14/0.42  #||
% 0.14/0.42  % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.14/0.42  % SZS output start Refutation
% See solution above
% 0.14/0.42  ||#
% 0.14/0.42  
% 0.14/0.42  ; Summary of computation:
% 0.14/0.42  ;       168 formulas have been input or derived (from 43 formulas).
% 0.14/0.42  ;        66 (39%) were retained.  Of these,
% 0.14/0.42  ;            3 ( 5%) were simplified or subsumed later,
% 0.14/0.42  ;           63 (95%) are still being kept.
% 0.14/0.42  ; 
% 0.14/0.42  ; Run time in seconds excluding printing time:
% 0.14/0.42  ;     0.003  10%   Read assertion file          (1 call)
% 0.14/0.42  ;     0.001   3%   Assert                       (15 calls)
% 0.14/0.42  ;     0.003  10%   Process new row              (150 calls)
% 0.14/0.42  ;     0.002   7%   Resolution                   (84 calls)
% 0.14/0.42  ;     0.001   3%   Paramodulation               (42 calls)
% 0.14/0.42  ;     0.000   0%   Factoring                    (9 calls)
% 0.14/0.42  ;     0.000   0%   Condensing                   (38 calls)
% 0.14/0.42  ;     0.001   3%   Forward subsumption          (38 calls)
% 0.14/0.42  ;     0.000   0%   Backward subsumption         (34 calls)
% 0.14/0.42  ;     0.000   0%   Clause clause subsumption    (38 calls)
% 0.14/0.42  ;     0.001   3%   Forward simplification       (150 calls)
% 0.14/0.42  ;     0.000   0%   Backward simplification      (66 calls)
% 0.14/0.42  ;     0.000   0%   Ordering                     (18 calls)
% 0.14/0.42  ;     0.001   3%   Sortal reasoning             (32 calls)
% 0.14/0.42  ;     0.000   0%   Purity testing               (1 call)
% 0.14/0.42  ;     0.016  55%   Other
% 0.14/0.42  ;     0.029        Total
% 0.14/0.42  ;     0.030        Real time
% 0.14/0.42  ; 
% 0.14/0.42  ; Term-hash-array has 74 terms in all.
% 0.14/0.42  ; Feature-vector-row-index has 31 entries (32 at peak, 34 added, 3 deleted).
% 0.14/0.42  ; Feature-vector-row-index has 67 nodes (92 at peak, 104 added, 37 deleted).
% 0.14/0.42  ;  Retrieved 32 possibly forward subsuming rows in 38 calls.
% 0.14/0.42  ;  Retrieved 6 possibly backward subsumed rows in 34 calls.
% 0.14/0.42  ; Path-index has 78 entries (78 at peak, 82 added, 4 deleted).
% 0.14/0.42  ; Path-index has 103 nodes (103 at peak, 103 added, 0 deleted).
% 0.14/0.42  ; Trie-index has 78 entries (78 at peak, 82 added, 4 deleted).
% 0.14/0.42  ; Trie-index has 114 nodes (114 at peak, 118 added, 4 deleted).
% 0.14/0.42  ; Retrieved 175 generalization terms in 194 calls.
% 0.14/0.42  ; Retrieved 31 instance terms in 31 calls.
% 0.14/0.42  ; Retrieved 1,746 unifiable terms in 500 calls.
% 0.14/0.42  ; 
% 0.14/0.42  ; The agenda of rows to process has 4 entries:
% 0.14/0.42  ;     4 with value 12
% 0.14/0.42  ; The agenda of input rows to give has 1 entry:
% 0.14/0.42  ;     1 with value 7
% 0.14/0.42  ; The agenda of rows to give has 20 entries:
% 0.14/0.42  ;     1 with value (4 10)          8 with value (4 12)           4 with value (4 15)
% 0.14/0.42  ;     1 with value (4 11)          6 with value (4 14)
% 0.14/0.42  Evaluation took:
% 0.14/0.42    0.031 seconds of real time
% 0.14/0.42    0.025606 seconds of user run time
% 0.14/0.42    0.004913 seconds of system run time
% 0.14/0.42    0 calls to %EVAL
% 0.14/0.42    0 page faults and
% 0.14/0.42    3,213,824 bytes consed.
% 0.14/0.42  :PROOF-FOUND
% 0.14/0.42  ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-17T18:01:16
% 0.14/0.42  :PROOF-FOUND
% 0.14/0.42  * 
%------------------------------------------------------------------------------