TSTP Solution File: GEO201+2 by CSE---1.6

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : CSE---1.6
% Problem  : GEO201+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 : n021.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 22:43:37 EDT 2023

% Result   : Theorem 0.56s 0.64s
% Output   : CNFRefutation 0.56s
% Verified : 
% SZS Type : -

% Comments : 
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12  % Problem    : GEO201+2 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13  % Command    : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34  % Computer : n021.cluster.edu
% 0.14/0.34  % Model    : x86_64 x86_64
% 0.14/0.34  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34  % Memory   : 8042.1875MB
% 0.14/0.34  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35  % CPULimit   : 300
% 0.14/0.35  % WCLimit    : 300
% 0.14/0.35  % DateTime   : Tue Aug 29 19:14:29 EDT 2023
% 0.14/0.35  % CPUTime    : 
% 0.21/0.58  start to proof:theBenchmark
% 0.56/0.64  %-------------------------------------------
% 0.56/0.64  % File        :CSE---1.6
% 0.56/0.64  % Problem     :theBenchmark
% 0.56/0.64  % Transform   :cnf
% 0.56/0.64  % Format      :tptp:raw
% 0.56/0.64  % Command     :java -jar mcs_scs.jar %d %s
% 0.56/0.64  
% 0.56/0.64  % Result      :Theorem 0.000000s
% 0.56/0.64  % Output      :CNFRefutation 0.000000s
% 0.56/0.64  %-------------------------------------------
% 0.56/0.64  %------------------------------------------------------------------------------
% 0.56/0.64  % File     : GEO201+2 : TPTP v8.1.2. Released v3.3.0.
% 0.56/0.64  % Domain   : Geometry (Constructive)
% 0.56/0.64  % Problem  : Distinct ends means distinct lines
% 0.56/0.64  % Version  : [vPl95] axioms : Reduced > Especial.
% 0.56/0.64  % English  : If the lines X and Y are convergent, then the intersection
% 0.56/0.64  %            point of X and Y is equal to the intersection point of X and Y.
% 0.56/0.64  
% 0.56/0.64  % Refs     : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.56/0.64  %          : [Li97]  Li (1997), Replacing the Axioms for Connecting Lines a
% 0.56/0.64  %          : [Li98]  Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.56/0.64  %          : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.56/0.64  % Source   : [ILTP]
% 0.56/0.64  % Names    :
% 0.56/0.64  
% 0.56/0.64  % Status   : Theorem
% 0.56/0.64  % Rating   : 0.00 v8.1.0, 0.07 v7.5.0, 0.05 v7.4.0, 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v4.0.0, 0.10 v3.7.0, 0.14 v3.5.0, 0.00 v3.3.0
% 0.56/0.64  % Syntax   : Number of formulae    :   13 (   3 unt;   0 def)
% 0.56/0.64  %            Number of atoms       :   36 (   0 equ)
% 0.56/0.64  %            Maximal formula atoms :    6 (   2 avg)
% 0.56/0.64  %            Number of connectives :   27 (   4   ~;   9   |;   2   &)
% 0.56/0.64  %                                         (   0 <=>;  12  =>;   0  <=;   0 <~>)
% 0.56/0.64  %            Maximal formula depth :    9 (   5 avg)
% 0.56/0.64  %            Maximal term depth    :    2 (   1 avg)
% 0.56/0.64  %            Number of predicates  :    4 (   4 usr;   0 prp; 2-2 aty)
% 0.56/0.64  %            Number of functors    :    2 (   2 usr;   0 con; 2-2 aty)
% 0.56/0.64  %            Number of variables   :   32 (  32   !;   0   ?)
% 0.56/0.64  % SPC      : FOF_THM_RFO_NEQ
% 0.56/0.64  
% 0.56/0.64  % Comments :  Definitions unfolded, hence Especial.
% 0.56/0.64  %------------------------------------------------------------------------------
% 0.56/0.64  include('Axioms/GEO008+0.ax').
% 0.56/0.64  %------------------------------------------------------------------------------
% 0.56/0.64  fof(con,conjecture,
% 0.56/0.64      ! [X,Y] :
% 0.56/0.64        ( convergent_lines(X,Y)
% 0.56/0.64       => ~ distinct_points(intersection_point(X,Y),intersection_point(Y,X)) ) ).
% 0.56/0.64  
% 0.56/0.64  %------------------------------------------------------------------------------
% 0.56/0.64  %-------------------------------------------
% 0.56/0.64  % Proof found
% 0.56/0.64  % SZS status Theorem for theBenchmark
% 0.56/0.64  % SZS output start Proof
% 0.56/0.65  %ClaNum:16(EqnAxiom:0)
% 0.56/0.65  %VarNum:80(SingletonVarNum:36)
% 0.56/0.65  %MaxLitNum:6
% 0.56/0.65  %MaxfuncDepth:1
% 0.56/0.65  %SharedTerms:6
% 0.56/0.65  %goalClause: 1 2
% 0.56/0.65  %singleGoalClaCount:2
% 0.56/0.65  [1]P1(a1,a2)
% 0.56/0.65  [2]P3(f3(a1,a2),f3(a2,a1))
% 0.56/0.65  [3]~P3(x31,x31)
% 0.56/0.65  [4]~P4(x41,x41)
% 0.56/0.65  [5]~P1(x51,x51)
% 0.56/0.65  [6]~P1(x61,x62)+P4(x61,x62)
% 0.56/0.65  [7]~P3(x73,x71)+P3(x71,x72)+P3(x73,x72)
% 0.56/0.65  [8]~P2(x81,x83)+P3(x81,x82)+P2(x82,x83)
% 0.56/0.65  [9]~P4(x93,x91)+P4(x91,x92)+P4(x93,x92)
% 0.56/0.65  [10]~P2(x103,x101)+P4(x101,x102)+P2(x103,x102)
% 0.56/0.65  [11]~P1(x113,x111)+P1(x111,x112)+P1(x113,x112)
% 0.56/0.65  [12]~P1(x122,x123)+~P2(x121,x123)+P3(x121,f3(x122,x123))
% 0.56/0.65  [13]~P1(x132,x133)+~P2(x131,x132)+P3(x131,f3(x132,x133))
% 0.56/0.65  [14]P3(x141,x142)+~P3(x143,x142)+~P2(x141,f4(x143,x142))
% 0.56/0.65  [15]P3(x151,x152)+~P3(x152,x153)+~P2(x151,f4(x152,x153))
% 0.56/0.65  [16]P2(x164,x163)+~P3(x164,x161)+~P4(x163,x162)+P2(x161,x162)+P2(x161,x163)+P2(x164,x162)
% 0.56/0.65  %EqnAxiom
% 0.56/0.65  
% 0.56/0.65  %-------------------------------------------
% 0.56/0.65  cnf(17,plain,
% 0.56/0.65     (P1(a2,a1)),
% 0.56/0.65     inference(scs_inference,[],[1,5,11])).
% 0.56/0.65  cnf(19,plain,
% 0.56/0.65     (P3(f3(a2,a1),f3(a1,a2))),
% 0.56/0.65     inference(scs_inference,[],[1,3,5,2,11,7])).
% 0.56/0.65  cnf(20,plain,
% 0.56/0.65     (~P3(x201,x201)),
% 0.56/0.65     inference(rename_variables,[],[3])).
% 0.56/0.65  cnf(22,plain,
% 0.56/0.65     (~P2(f3(a1,a2),a1)),
% 0.56/0.65     inference(scs_inference,[],[1,3,20,5,2,11,7,13])).
% 0.56/0.65  cnf(23,plain,
% 0.56/0.65     (~P3(x231,x231)),
% 0.56/0.65     inference(rename_variables,[],[3])).
% 0.56/0.65  cnf(25,plain,
% 0.56/0.65     (~P2(f3(a1,a2),a2)),
% 0.56/0.65     inference(scs_inference,[],[1,3,20,23,5,2,11,7,13,12])).
% 0.56/0.65  cnf(28,plain,
% 0.56/0.65     (P4(a1,a2)),
% 0.56/0.65     inference(scs_inference,[],[1,3,20,23,5,2,11,7,13,12,6])).
% 0.56/0.65  cnf(40,plain,
% 0.56/0.65     (~P3(x401,x401)),
% 0.56/0.65     inference(rename_variables,[],[3])).
% 0.56/0.65  cnf(43,plain,
% 0.56/0.65     (~P3(x431,x431)),
% 0.56/0.65     inference(rename_variables,[],[3])).
% 0.56/0.65  cnf(46,plain,
% 0.56/0.65     (~P3(x461,x461)),
% 0.56/0.65     inference(rename_variables,[],[3])).
% 0.56/0.65  cnf(51,plain,
% 0.56/0.65     ($false),
% 0.56/0.65     inference(scs_inference,[],[4,3,40,43,46,2,22,19,28,25,17,9,13,12,15,14,16]),
% 0.56/0.65     ['proof']).
% 0.56/0.65  % SZS output end Proof
% 0.56/0.65  % Total time :0.000000s
%------------------------------------------------------------------------------