%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO179+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n020.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 : Mon Jun 24 06:04:13 EDT 2024
% Result : Theorem 0.76s 0.86s
% Output : CNFRefutation 0.76s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GEO179+2 : TPTP v8.2.0. Released v3.3.0.
% 0.00/0.07 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.06/0.25 % Computer : n020.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Fri Jun 21 07:41:23 EDT 2024
% 0.06/0.25 % CPUTime :
% 0.10/0.41 start to proof:theBenchmark
% 0.76/0.85 %-------------------------------------------
% 0.76/0.85 % File :CSE---1.7
% 0.76/0.85 % Problem :theBenchmark
% 0.76/0.85 % Transform :cnf
% 0.76/0.85 % Format :tptp:raw
% 0.76/0.85 % Command :java -jar mcs_scs.jar %d %s
% 0.76/0.85
% 0.76/0.85 % Result :Theorem 0.400000s
% 0.76/0.85 % Output :CNFRefutation 0.400000s
% 0.76/0.85 %-------------------------------------------
% 0.76/0.85 %------------------------------------------------------------------------------
% 0.76/0.85 % File : GEO179+2 : TPTP v8.2.0. Released v3.3.0.
% 0.76/0.86 % Domain : Geometry (Constructive)
% 0.76/0.86 % Problem : Lemma on symmetry and apartness
% 0.76/0.86 % Version : [vPl95] axioms : Reduced > Especial.
% 0.76/0.86 % English : If two points X and Y are distinct and a point Z is apart from
% 0.76/0.86 % the line connecting X and Y, then the line connecting X and Y
% 0.76/0.86 % is distinct from the line connecting Z and X and distinct from
% 0.76/0.86 % the line connecting Z and Y.
% 0.76/0.86
% 0.76/0.86 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.76/0.86 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.76/0.86 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.76/0.86 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.76/0.86 % Source : [ILTP]
% 0.76/0.86 % Names :
% 0.76/0.86
% 0.76/0.86 % Status : Theorem
% 0.76/0.86 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.50 v5.5.0, 0.17 v5.3.0, 0.26 v5.2.0, 0.21 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.11 v4.0.0, 0.15 v3.7.0, 0.00 v3.3.0
% 0.76/0.86 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 0.76/0.86 % Number of atoms : 38 ( 0 equ)
% 0.76/0.86 % Maximal formula atoms : 6 ( 2 avg)
% 0.76/0.86 % Number of connectives : 28 ( 3 ~; 9 |; 4 &)
% 0.76/0.86 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.76/0.86 % Maximal formula depth : 9 ( 6 avg)
% 0.76/0.86 % Maximal term depth : 2 ( 1 avg)
% 0.76/0.86 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.76/0.86 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.76/0.86 % Number of variables : 33 ( 33 !; 0 ?)
% 0.76/0.86 % SPC : FOF_THM_RFO_NEQ
% 0.76/0.86
% 0.76/0.86 % Comments : Definitions unfolded, hence Especial.
% 0.76/0.86 %------------------------------------------------------------------------------
% 0.76/0.86 include('Axioms/GEO008+0.ax').
% 0.76/0.86 %------------------------------------------------------------------------------
% 0.76/0.86 fof(con,conjecture,
% 0.76/0.86 ! [X,Y,Z] :
% 0.76/0.86 ( ( distinct_points(X,Y)
% 0.76/0.86 & apart_point_and_line(Z,line_connecting(X,Y)) )
% 0.76/0.86 => ( distinct_lines(line_connecting(X,Y),line_connecting(Z,X))
% 0.76/0.86 & distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)) ) ) ).
% 0.76/0.86
% 0.76/0.86 %------------------------------------------------------------------------------
% 0.76/0.86 %-------------------------------------------
% 0.76/0.86 % Proof found
% 0.76/0.86 % SZS status Theorem for theBenchmark
% 0.76/0.86 % SZS output start Proof
% 0.76/0.86 %ClaNum:17(EqnAxiom:0)
% 0.76/0.86 %VarNum:80(SingletonVarNum:36)
% 0.76/0.86 %MaxLitNum:6
% 0.76/0.86 %MaxfuncDepth:1
% 0.76/0.86 %SharedTerms:10
% 0.76/0.86 %goalClause: 1 2 17
% 0.76/0.86 %singleGoalClaCount:2
% 0.76/0.86 [1]P1(a1,a2)
% 0.76/0.86 [2]P2(a3,f4(a1,a2))
% 0.76/0.86 [3]~P1(x31,x31)
% 0.76/0.86 [4]~P3(x41,x41)
% 0.76/0.86 [5]~P4(x51,x51)
% 0.76/0.86 [17]~P3(f4(a1,a2),f4(a3,a2))+~P3(f4(a1,a2),f4(a3,a1))
% 0.76/0.86 [6]~P4(x61,x62)+P3(x61,x62)
% 0.76/0.86 [7]~P1(x73,x71)+P1(x71,x72)+P1(x73,x72)
% 0.76/0.86 [8]~P2(x81,x83)+P1(x81,x82)+P2(x82,x83)
% 0.76/0.86 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 0.76/0.86 [10]~P2(x103,x101)+P3(x101,x102)+P2(x103,x102)
% 0.76/0.86 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 0.76/0.86 [12]~P4(x122,x123)+~P2(x121,x123)+P1(x121,f5(x122,x123))
% 0.76/0.86 [13]~P4(x132,x133)+~P2(x131,x132)+P1(x131,f5(x132,x133))
% 0.76/0.86 [14]P1(x141,x142)+~P1(x143,x142)+~P2(x141,f4(x143,x142))
% 0.76/0.86 [15]P1(x151,x152)+~P1(x152,x153)+~P2(x151,f4(x152,x153))
% 0.76/0.86 [16]P2(x164,x163)+~P1(x164,x161)+~P3(x163,x162)+P2(x161,x162)+P2(x161,x163)+P2(x164,x162)
% 0.76/0.86 %EqnAxiom
% 0.76/0.86
% 0.76/0.86 %-------------------------------------------
% 0.76/0.86 cnf(21,plain,
% 0.76/0.86 (P1(a3,a2)),
% 0.76/0.86 inference(scs_inference,[],[1,2,3,7,14])).
% 0.76/0.86 cnf(23,plain,
% 0.76/0.86 (P1(a3,a1)),
% 0.76/0.86 inference(scs_inference,[],[1,2,3,7,14,15])).
% 0.76/0.86 cnf(45,plain,
% 0.76/0.86 (P2(a3,f4(a3,a1))+~P3(f4(a1,a2),f4(a3,a2))),
% 0.76/0.86 inference(scs_inference,[],[2,17,10])).
% 0.76/0.86 cnf(46,plain,
% 0.76/0.86 (~P3(f4(a1,a2),f4(a3,a2))),
% 0.76/0.86 inference(scs_inference,[],[23,3,45,15])).
% 0.76/0.86 cnf(149,plain,
% 0.76/0.86 (P2(a3,f4(a3,a2))),
% 0.76/0.86 inference(scs_inference,[],[2,3,46,8,10])).
% 0.76/0.86 cnf(150,plain,
% 0.76/0.86 ($false),
% 0.76/0.86 inference(scs_inference,[],[3,149,21,15]),
% 0.76/0.86 ['proof']).
% 0.76/0.86 % SZS output end Proof
% 0.76/0.86 % Total time :0.400000s
%------------------------------------------------------------------------------