TSTP Solution File: GEO179+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO179+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 : n019.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 22:43:22 EDT 2023
% Result : Theorem 0.20s 0.61s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO179+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
% 0.13/0.34 % Computer : n019.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 : 300
% 0.13/0.34 % DateTime : Tue Aug 29 20:47:27 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 % File :CSE---1.6
% 0.20/0.61 % Problem :theBenchmark
% 0.20/0.61 % Transform :cnf
% 0.20/0.61 % Format :tptp:raw
% 0.20/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.61
% 0.20/0.61 % Result :Theorem 0.000000s
% 0.20/0.61 % Output :CNFRefutation 0.000000s
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 %------------------------------------------------------------------------------
% 0.20/0.61 % File : GEO179+2 : TPTP v8.1.2. Released v3.3.0.
% 0.20/0.61 % Domain : Geometry (Constructive)
% 0.20/0.61 % Problem : Lemma on symmetry and apartness
% 0.20/0.61 % Version : [vPl95] axioms : Reduced > Especial.
% 0.20/0.61 % English : If two points X and Y are distinct and a point Z is apart from
% 0.20/0.61 % the line connecting X and Y, then the line connecting X and Y
% 0.20/0.61 % is distinct from the line connecting Z and X and distinct from
% 0.20/0.61 % the line connecting Z and Y.
% 0.20/0.61
% 0.20/0.61 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.20/0.61 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.20/0.61 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.20/0.61 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.20/0.61 % Source : [ILTP]
% 0.20/0.61 % Names :
% 0.20/0.61
% 0.20/0.61 % Status : Theorem
% 0.20/0.61 % 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
% 0.20/0.61 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 0.20/0.61 % Number of atoms : 38 ( 0 equ)
% 0.20/0.61 % Maximal formula atoms : 6 ( 2 avg)
% 0.20/0.61 % Number of connectives : 28 ( 3 ~; 9 |; 4 &)
% 0.20/0.61 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.20/0.61 % Maximal formula depth : 9 ( 6 avg)
% 0.20/0.61 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.61 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.20/0.61 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.20/0.61 % Number of variables : 33 ( 33 !; 0 ?)
% 0.20/0.61 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.61
% 0.20/0.61 % Comments : Definitions unfolded, hence Especial.
% 0.20/0.61 %------------------------------------------------------------------------------
% 0.20/0.61 include('Axioms/GEO008+0.ax').
% 0.20/0.61 %------------------------------------------------------------------------------
% 0.20/0.61 fof(con,conjecture,
% 0.20/0.61 ! [X,Y,Z] :
% 0.20/0.61 ( ( distinct_points(X,Y)
% 0.20/0.61 & apart_point_and_line(Z,line_connecting(X,Y)) )
% 0.20/0.61 => ( distinct_lines(line_connecting(X,Y),line_connecting(Z,X))
% 0.20/0.61 & distinct_lines(line_connecting(X,Y),line_connecting(Z,Y)) ) ) ).
% 0.20/0.61
% 0.20/0.61 %------------------------------------------------------------------------------
% 0.20/0.61 %-------------------------------------------
% 0.20/0.61 % Proof found
% 0.20/0.61 % SZS status Theorem for theBenchmark
% 0.20/0.61 % SZS output start Proof
% 0.20/0.61 %ClaNum:17(EqnAxiom:0)
% 0.20/0.61 %VarNum:80(SingletonVarNum:36)
% 0.20/0.61 %MaxLitNum:6
% 0.20/0.61 %MaxfuncDepth:1
% 0.20/0.61 %SharedTerms:10
% 0.20/0.61 %goalClause: 1 2 17
% 0.20/0.61 %singleGoalClaCount:2
% 0.20/0.61 [1]P1(a1,a2)
% 0.20/0.61 [2]P2(a3,f4(a1,a2))
% 0.20/0.61 [3]~P1(x31,x31)
% 0.20/0.61 [4]~P3(x41,x41)
% 0.20/0.61 [5]~P4(x51,x51)
% 0.20/0.61 [17]~P3(f4(a1,a2),f4(a3,a2))+~P3(f4(a1,a2),f4(a3,a1))
% 0.20/0.61 [6]~P4(x61,x62)+P3(x61,x62)
% 0.20/0.61 [7]~P1(x73,x71)+P1(x71,x72)+P1(x73,x72)
% 0.20/0.61 [8]~P2(x81,x83)+P1(x81,x82)+P2(x82,x83)
% 0.20/0.61 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 0.20/0.61 [10]~P2(x103,x101)+P3(x101,x102)+P2(x103,x102)
% 0.20/0.61 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 0.20/0.61 [12]~P4(x122,x123)+~P2(x121,x123)+P1(x121,f5(x122,x123))
% 0.20/0.61 [13]~P4(x132,x133)+~P2(x131,x132)+P1(x131,f5(x132,x133))
% 0.20/0.61 [14]P1(x141,x142)+~P1(x143,x142)+~P2(x141,f4(x143,x142))
% 0.20/0.61 [15]P1(x151,x152)+~P1(x152,x153)+~P2(x151,f4(x152,x153))
% 0.20/0.61 [16]P2(x164,x163)+~P1(x164,x161)+~P3(x163,x162)+P2(x161,x162)+P2(x161,x163)+P2(x164,x162)
% 0.20/0.61 %EqnAxiom
% 0.20/0.61
% 0.20/0.61 %-------------------------------------------
% 0.20/0.62 cnf(18,plain,
% 0.20/0.62 (P1(a2,a1)),
% 0.20/0.62 inference(scs_inference,[],[1,3,7])).
% 0.20/0.62 cnf(20,plain,
% 0.20/0.62 (P1(a3,a1)),
% 0.20/0.62 inference(scs_inference,[],[1,3,2,7,15])).
% 0.20/0.62 cnf(22,plain,
% 0.20/0.62 (P1(a3,a2)),
% 0.20/0.62 inference(scs_inference,[],[1,3,2,7,15,14])).
% 0.20/0.62 cnf(28,plain,
% 0.20/0.62 (~P2(a1,f4(a1,a2))),
% 0.20/0.62 inference(scs_inference,[],[1,3,15])).
% 0.20/0.62 cnf(29,plain,
% 0.20/0.62 (~P1(x291,x291)),
% 0.20/0.62 inference(rename_variables,[],[3])).
% 0.20/0.62 cnf(31,plain,
% 0.20/0.62 (~P2(a2,f4(a1,a2))),
% 0.20/0.62 inference(scs_inference,[],[1,3,29,15,14])).
% 0.20/0.62 cnf(40,plain,
% 0.20/0.62 (~P2(a2,f4(a2,a1))),
% 0.20/0.62 inference(scs_inference,[],[18,3,15])).
% 0.20/0.62 cnf(41,plain,
% 0.20/0.62 (~P1(x411,x411)),
% 0.20/0.62 inference(rename_variables,[],[3])).
% 0.20/0.62 cnf(43,plain,
% 0.20/0.62 (~P2(a1,f4(a2,a1))),
% 0.20/0.62 inference(scs_inference,[],[18,3,41,15,14])).
% 0.20/0.62 cnf(50,plain,
% 0.20/0.62 (~P2(a3,f4(a3,a1))),
% 0.20/0.62 inference(scs_inference,[],[3,28,31,43,20,40,1,16,6,15])).
% 0.20/0.62 cnf(51,plain,
% 0.20/0.62 (~P1(x511,x511)),
% 0.20/0.62 inference(rename_variables,[],[3])).
% 0.20/0.62 cnf(53,plain,
% 0.20/0.62 (~P2(a1,f4(a3,a1))),
% 0.20/0.62 inference(scs_inference,[],[3,51,28,31,43,20,40,1,16,6,15,14])).
% 0.20/0.62 cnf(56,plain,
% 0.20/0.62 (P3(f4(a1,a2),f4(a3,a1))),
% 0.20/0.62 inference(scs_inference,[],[50,2,10])).
% 0.20/0.62 cnf(62,plain,
% 0.20/0.62 (~P3(f4(a1,a2),f4(a3,a2))),
% 0.20/0.62 inference(scs_inference,[],[18,20,53,50,28,31,2,10,16,15,17])).
% 0.20/0.62 cnf(66,plain,
% 0.20/0.62 (P2(a3,f4(a3,a2))),
% 0.20/0.62 inference(scs_inference,[],[4,56,62,2,9,10])).
% 0.20/0.62 cnf(74,plain,
% 0.20/0.62 ($false),
% 0.20/0.62 inference(scs_inference,[],[22,66,50,3,10,15]),
% 0.20/0.62 ['proof']).
% 0.20/0.62 % SZS output end Proof
% 0.20/0.62 % Total time :0.000000s
%------------------------------------------------------------------------------