TSTP Solution File: GEO183+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO183+1 : 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 : n023.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 22:43:24 EDT 2023
% Result : Theorem 0.56s 0.62s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO183+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 22:55:54 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % File :CSE---1.6
% 0.19/0.61 % Problem :theBenchmark
% 0.19/0.61 % Transform :cnf
% 0.19/0.61 % Format :tptp:raw
% 0.19/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.61
% 0.19/0.61 % Result :Theorem 0.000000s
% 0.19/0.61 % Output :CNFRefutation 0.000000s
% 0.19/0.61 %-------------------------------------------
% 0.56/0.61 %------------------------------------------------------------------------------
% 0.56/0.61 % File : GEO183+1 : TPTP v8.1.2. Released v3.3.0.
% 0.56/0.61 % Domain : Geometry (Constructive)
% 0.56/0.61 % Problem : Lemma on symmetry and apartness
% 0.56/0.61 % Version : [vPl95] axioms : Especial.
% 0.56/0.61 % English : If X and Y are distinct points, then they are incident with
% 0.56/0.61 % the line that is equal to the line connecting the points.
% 0.56/0.61
% 0.56/0.61 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.56/0.61 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.56/0.61 % Source : [ILTP]
% 0.56/0.61 % Names : Lemma 4.5.i [vPl95]
% 0.56/0.61
% 0.56/0.61 % Status : Theorem
% 0.56/0.61 % Rating : 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.22 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.11 v4.0.0, 0.10 v3.7.0, 0.00 v3.3.0
% 0.56/0.62 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 0.56/0.62 % Number of atoms : 40 ( 0 equ)
% 0.56/0.62 % Maximal formula atoms : 6 ( 2 avg)
% 0.56/0.62 % Number of connectives : 35 ( 10 ~; 9 |; 4 &)
% 0.56/0.62 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.56/0.62 % Maximal formula depth : 9 ( 6 avg)
% 0.56/0.62 % Maximal term depth : 2 ( 1 avg)
% 0.56/0.62 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.56/0.62 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.56/0.62 % Number of variables : 37 ( 37 !; 0 ?)
% 0.56/0.62 % SPC : FOF_THM_RFO_NEQ
% 0.56/0.62
% 0.56/0.62 % Comments : Definitions unfolded, hence Especial.
% 0.56/0.62 %------------------------------------------------------------------------------
% 0.56/0.62 include('Axioms/GEO006+0.ax').
% 0.56/0.62 %------------------------------------------------------------------------------
% 0.56/0.62 fof(con,conjecture,
% 0.56/0.62 ! [X,Y,U,V] :
% 0.56/0.62 ( ( distinct_points(X,Y)
% 0.56/0.62 & convergent_lines(U,V)
% 0.56/0.62 & ~ distinct_lines(U,line_connecting(X,Y)) )
% 0.56/0.62 => ( ~ apart_point_and_line(X,U)
% 0.56/0.62 & ~ apart_point_and_line(Y,U) ) ) ).
% 0.56/0.62
% 0.56/0.62 %------------------------------------------------------------------------------
% 0.56/0.62 %-------------------------------------------
% 0.56/0.62 % Proof found
% 0.56/0.62 % SZS status Theorem for theBenchmark
% 0.56/0.62 % SZS output start Proof
% 0.56/0.62 %ClaNum:18(EqnAxiom:0)
% 0.56/0.62 %VarNum:74(SingletonVarNum:33)
% 0.56/0.62 %MaxLitNum:6
% 0.56/0.62 %MaxfuncDepth:1
% 0.56/0.62 %SharedTerms:10
% 0.56/0.62 %goalClause: 1 2 6 7
% 0.56/0.62 %singleGoalClaCount:3
% 0.56/0.62 [1]P1(a1,a2)
% 0.56/0.62 [2]P2(a3,a4)
% 0.56/0.62 [6]~P4(a3,f5(a1,a2))
% 0.56/0.62 [3]~P1(x31,x31)
% 0.56/0.62 [4]~P4(x41,x41)
% 0.56/0.62 [5]~P2(x51,x51)
% 0.56/0.62 [7]P3(a1,a3)+P3(a2,a3)
% 0.56/0.62 [14]~P1(x141,x142)+~P3(x142,f5(x141,x142))
% 0.56/0.62 [15]~P1(x151,x152)+~P3(x151,f5(x151,x152))
% 0.56/0.62 [16]~P2(x161,x162)+~P3(f6(x161,x162),x162)
% 0.56/0.62 [17]~P2(x171,x172)+~P3(f6(x171,x172),x171)
% 0.56/0.62 [8]~P1(x83,x81)+P1(x81,x82)+P1(x83,x82)
% 0.56/0.62 [9]~P3(x91,x93)+P1(x91,x92)+P3(x92,x93)
% 0.56/0.62 [10]~P4(x103,x101)+P4(x101,x102)+P4(x103,x102)
% 0.56/0.62 [11]~P2(x113,x111)+P4(x111,x112)+P2(x113,x112)
% 0.56/0.62 [12]~P3(x123,x121)+P4(x121,x122)+P3(x123,x122)
% 0.56/0.62 [13]~P2(x133,x131)+P2(x131,x132)+P2(x133,x132)
% 0.56/0.62 [18]P3(x184,x183)+~P1(x184,x181)+~P4(x183,x182)+P3(x181,x182)+P3(x181,x183)+P3(x184,x182)
% 0.56/0.62 %EqnAxiom
% 0.56/0.62
% 0.56/0.62 %-------------------------------------------
% 0.56/0.62 cnf(20,plain,
% 0.56/0.62 (~P2(x201,x201)),
% 0.56/0.62 inference(rename_variables,[],[5])).
% 0.56/0.62 cnf(35,plain,
% 0.56/0.62 (~P3(a2,f5(a1,a2))),
% 0.56/0.62 inference(scs_inference,[],[1,3,4,5,20,2,13,11,10,8,17,16,15,14])).
% 0.56/0.62 cnf(37,plain,
% 0.56/0.62 (~P3(a1,a3)),
% 0.56/0.62 inference(scs_inference,[],[1,3,4,5,20,2,6,13,11,10,8,17,16,15,14,12])).
% 0.56/0.62 cnf(39,plain,
% 0.56/0.62 (P3(a2,a3)),
% 0.56/0.62 inference(scs_inference,[],[37,7])).
% 0.56/0.62 cnf(57,plain,
% 0.56/0.62 ($false),
% 0.56/0.62 inference(scs_inference,[],[6,35,39,12]),
% 0.56/0.62 ['proof']).
% 0.56/0.62 % SZS output end Proof
% 0.56/0.62 % Total time :0.000000s
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