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