TSTP Solution File: GEO211+2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : GEO211+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %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  : 300s
% DateTime : Wed Aug 30 22:43:43 EDT 2023

% Result   : Theorem 0.13s 0.51s
% Output   : CNFRefutation 0.13s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10  % Problem    : GEO211+2 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.10  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.09/0.29  % Computer : n032.cluster.edu
% 0.09/0.29  % Model    : x86_64 x86_64
% 0.09/0.29  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29  % Memory   : 8042.1875MB
% 0.09/0.29  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29  % CPULimit   : 300
% 0.09/0.29  % WCLimit    : 300
% 0.09/0.29  % DateTime   : Tue Aug 29 22:36:02 EDT 2023
% 0.09/0.29  % CPUTime    : 
% 0.13/0.46  start to proof:theBenchmark
% 0.13/0.51  %-------------------------------------------
% 0.13/0.51  % File        :CSE---1.6
% 0.13/0.51  % Problem     :theBenchmark
% 0.13/0.51  % Transform   :cnf
% 0.13/0.51  % Format      :tptp:raw
% 0.13/0.51  % Command     :java -jar mcs_scs.jar %d %s
% 0.13/0.51  
% 0.13/0.51  % Result      :Theorem 0.000000s
% 0.13/0.51  % Output      :CNFRefutation 0.000000s
% 0.13/0.51  %-------------------------------------------
% 0.13/0.51  %------------------------------------------------------------------------------
% 0.13/0.51  % File     : GEO211+2 : TPTP v8.1.2. Released v3.3.0.
% 0.13/0.51  % Domain   : Geometry (Constructive)
% 0.13/0.51  % Problem  : A line is not orthogonal to itself
% 0.13/0.51  % Version  : [vPl95] axioms : Reduced > Especial.
% 0.13/0.51  % English  : A Line is not orthogonal to itself.
% 0.13/0.51  
% 0.13/0.51  % Refs     : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.13/0.51  %          : [Li97]  Li (1997), Replacing the Axioms for Connecting Lines a
% 0.13/0.51  %          : [Li98]  Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.13/0.51  %          : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.13/0.51  % Source   : [ILTP]
% 0.13/0.51  % Names    :
% 0.13/0.51  
% 0.13/0.51  % Status   : Theorem
% 0.13/0.51  % Rating   : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.04 v5.3.0, 0.09 v5.2.0, 0.07 v5.0.0, 0.00 v3.3.0
% 0.13/0.51  % Syntax   : Number of formulae    :   21 (   8 unt;   0 def)
% 0.13/0.51  %            Number of atoms       :   56 (   0 equ)
% 0.13/0.51  %            Maximal formula atoms :    6 (   2 avg)
% 0.13/0.51  %            Number of connectives :   42 (   7   ~;  16   |;   5   &)
% 0.13/0.51  %                                         (   0 <=>;  14  =>;   0  <=;   0 <~>)
% 0.13/0.51  %            Maximal formula depth :    9 (   5 avg)
% 0.13/0.51  %            Maximal term depth    :    2 (   1 avg)
% 0.13/0.51  %            Number of predicates  :    5 (   5 usr;   0 prp; 2-2 aty)
% 0.13/0.51  %            Number of functors    :    4 (   4 usr;   0 con; 2-2 aty)
% 0.13/0.51  %            Number of variables   :   51 (  51   !;   0   ?)
% 0.13/0.51  % SPC      : FOF_THM_RFO_NEQ
% 0.13/0.51  
% 0.13/0.51  % Comments :  Definitions unfolded, hence Especial.
% 0.13/0.51  %------------------------------------------------------------------------------
% 0.13/0.51  include('Axioms/GEO008+0.ax').
% 0.13/0.51  include('Axioms/GEO006+2.ax').
% 0.13/0.51  include('Axioms/GEO006+3.ax').
% 0.13/0.51  %------------------------------------------------------------------------------
% 0.13/0.51  fof(con,conjecture,
% 0.13/0.51      ! [L] : unorthogonal_lines(L,L) ).
% 0.13/0.51  
% 0.13/0.51  %------------------------------------------------------------------------------
% 0.13/0.51  %-------------------------------------------
% 0.13/0.51  % Proof found
% 0.13/0.51  % SZS status Theorem for theBenchmark
% 0.13/0.51  % SZS output start Proof
% 0.13/0.51  %ClaNum:26(EqnAxiom:0)
% 0.13/0.51  %VarNum:138(SingletonVarNum:62)
% 0.13/0.51  %MaxLitNum:6
% 0.13/0.51  %MaxfuncDepth:1
% 0.13/0.51  %SharedTerms:2
% 0.13/0.51  %goalClause: 1
% 0.13/0.51  %singleGoalClaCount:1
% 0.13/0.51  [1]~P1(a1,a1)
% 0.13/0.51  [2]~P2(x21,x21)
% 0.13/0.51  [3]~P3(x31,x31)
% 0.13/0.51  [4]~P4(x41,x41)
% 0.13/0.51  [5]~P5(x51,f2(x52,x51))
% 0.13/0.51  [6]~P5(x61,f3(x62,x61))
% 0.13/0.51  [7]~P4(f2(x71,x72),x71)
% 0.13/0.51  [8]~P1(f3(x81,x82),x81)
% 0.13/0.51  [9]P1(x91,x92)+P4(x91,x92)
% 0.13/0.51  [10]~P4(x101,x102)+P3(x101,x102)
% 0.13/0.51  [11]~P2(x113,x111)+P2(x111,x112)+P2(x113,x112)
% 0.13/0.51  [12]~P5(x121,x123)+P2(x121,x122)+P5(x122,x123)
% 0.13/0.51  [13]~P3(x133,x131)+P3(x131,x132)+P3(x133,x132)
% 0.13/0.51  [14]~P5(x143,x141)+P3(x141,x142)+P5(x143,x142)
% 0.13/0.51  [15]~P4(x153,x151)+P4(x151,x152)+P4(x153,x152)
% 0.13/0.51  [22]~P4(x222,x223)+~P5(x221,x223)+P2(x221,f4(x222,x223))
% 0.13/0.52  [23]~P4(x232,x233)+~P5(x231,x232)+P2(x231,f4(x232,x233))
% 0.13/0.52  [24]P2(x241,x242)+~P2(x243,x242)+~P5(x241,f5(x243,x242))
% 0.13/0.52  [25]P2(x251,x252)+~P2(x252,x253)+~P5(x251,f5(x252,x253))
% 0.13/0.52  [16]P5(x163,x161)+~P3(x161,x162)+P4(x161,x162)+P5(x163,x162)
% 0.13/0.52  [18]~P4(x181,x183)+~P1(x181,x183)+P4(x181,x182)+P1(x183,x182)
% 0.13/0.52  [19]~P4(x193,x191)+~P1(x193,x191)+P4(x191,x192)+P1(x193,x192)
% 0.13/0.52  [20]~P4(x201,x203)+~P1(x201,x203)+P1(x201,x202)+P1(x203,x202)
% 0.13/0.52  [21]P1(x213,x214)+~P3(x213,x212)+P5(x211,x212)+P5(x211,x213)+P1(x212,x214)
% 0.13/0.52  [26]P5(x264,x263)+~P2(x264,x261)+~P3(x263,x262)+P5(x261,x262)+P5(x261,x263)+P5(x264,x262)
% 0.13/0.52  %EqnAxiom
% 0.13/0.52  
% 0.13/0.52  %-------------------------------------------
% 0.13/0.52  cnf(27,plain,
% 0.13/0.52     ($false),
% 0.13/0.52     inference(scs_inference,[],[1,4,9]),
% 0.13/0.52     ['proof']).
% 0.13/0.52  % SZS output end Proof
% 0.13/0.52  % Total time :0.000000s
%------------------------------------------------------------------------------