TSTP Solution File: GEO173+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO173+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n027.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 22:43:18 EDT 2023
% Result : Theorem 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO173+1 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n027.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 21:21:38 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.58 start to proof:theBenchmark
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % File :CSE---1.6
% 0.20/0.64 % Problem :theBenchmark
% 0.20/0.64 % Transform :cnf
% 0.20/0.64 % Format :tptp:raw
% 0.20/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.64
% 0.20/0.64 % Result :Theorem 0.000000s
% 0.20/0.64 % Output :CNFRefutation 0.000000s
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 % File : GEO173+1 : TPTP v8.1.2. Released v3.3.0.
% 0.20/0.64 % Domain : Geometry (Constructive)
% 0.20/0.64 % Problem : Lemma on symmetry and apartness
% 0.20/0.64 % Version : [vPl95] axioms : Especial.
% 0.20/0.64 % English : If two points are distinct and a line U is distinct from the
% 0.20/0.64 % line connecting the points, then U is apart from at least one
% 0.20/0.64 % of these points.
% 0.20/0.64
% 0.20/0.64 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.20/0.64 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.20/0.64 % Source : [ILTP]
% 0.20/0.64 % Names : Lemma 4.1.i [vPl95]
% 0.20/0.64
% 0.20/0.64 % Status : Theorem
% 0.20/0.64 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 v5.2.0, 0.14 v5.0.0, 0.00 v3.3.0
% 0.20/0.64 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 0.20/0.64 % Number of atoms : 40 ( 0 equ)
% 0.20/0.64 % Maximal formula atoms : 6 ( 2 avg)
% 0.20/0.64 % Number of connectives : 32 ( 7 ~; 10 |; 3 &)
% 0.20/0.64 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.20/0.64 % Maximal formula depth : 9 ( 5 avg)
% 0.20/0.64 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.64 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.20/0.64 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.20/0.64 % Number of variables : 37 ( 37 !; 0 ?)
% 0.20/0.64 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.64
% 0.20/0.64 % Comments : Definitions unfolded, hence Especial.
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 include('Axioms/GEO006+0.ax').
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 fof(con,conjecture,
% 0.20/0.64 ! [X,Y,U,V] :
% 0.20/0.64 ( ( distinct_points(X,Y)
% 0.20/0.64 & convergent_lines(U,V)
% 0.20/0.64 & distinct_lines(U,line_connecting(X,Y)) )
% 0.20/0.64 => ( apart_point_and_line(X,U)
% 0.20/0.64 | apart_point_and_line(Y,U) ) ) ).
% 0.20/0.64
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % Proof found
% 0.20/0.64 % SZS status Theorem for theBenchmark
% 0.20/0.64 % SZS output start Proof
% 0.20/0.64 %ClaNum:19(EqnAxiom:0)
% 0.20/0.64 %VarNum:74(SingletonVarNum:33)
% 0.20/0.64 %MaxLitNum:6
% 0.20/0.64 %MaxfuncDepth:1
% 0.20/0.64 %SharedTerms:10
% 0.20/0.64 %goalClause: 1 2 3 4 5
% 0.20/0.64 %singleGoalClaCount:5
% 0.20/0.64 [1]P1(a1,a2)
% 0.20/0.64 [2]P2(a3,a4)
% 0.20/0.64 [4]~P3(a1,a3)
% 0.20/0.64 [5]~P3(a2,a3)
% 0.20/0.64 [3]P4(a3,f5(a1,a2))
% 0.20/0.64 [6]~P1(x61,x61)
% 0.20/0.64 [7]~P4(x71,x71)
% 0.20/0.64 [8]~P2(x81,x81)
% 0.20/0.64 [15]~P1(x151,x152)+~P3(x152,f5(x151,x152))
% 0.20/0.64 [16]~P1(x161,x162)+~P3(x161,f5(x161,x162))
% 0.20/0.64 [17]~P2(x171,x172)+~P3(f6(x171,x172),x172)
% 0.20/0.64 [18]~P2(x181,x182)+~P3(f6(x181,x182),x181)
% 0.20/0.64 [9]~P1(x93,x91)+P1(x91,x92)+P1(x93,x92)
% 0.20/0.64 [10]~P3(x101,x103)+P1(x101,x102)+P3(x102,x103)
% 0.20/0.64 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 0.20/0.64 [12]~P2(x123,x121)+P4(x121,x122)+P2(x123,x122)
% 0.20/0.64 [13]~P3(x133,x131)+P4(x131,x132)+P3(x133,x132)
% 0.20/0.64 [14]~P2(x143,x141)+P2(x141,x142)+P2(x143,x142)
% 0.20/0.64 [19]P3(x194,x193)+~P1(x194,x191)+~P4(x193,x192)+P3(x191,x192)+P3(x191,x193)+P3(x194,x192)
% 0.20/0.64 %EqnAxiom
% 0.20/0.64
% 0.20/0.64 %-------------------------------------------
% 0.20/0.65 cnf(21,plain,
% 0.20/0.65 (~P2(x211,x211)),
% 0.20/0.65 inference(rename_variables,[],[8])).
% 0.20/0.65 cnf(34,plain,
% 0.20/0.65 (~P3(a1,f5(a1,a2))),
% 0.20/0.65 inference(scs_inference,[],[1,6,7,8,21,2,3,14,12,11,9,18,17,16])).
% 0.20/0.65 cnf(36,plain,
% 0.20/0.65 (~P3(a2,f5(a1,a2))),
% 0.20/0.65 inference(scs_inference,[],[1,6,7,8,21,2,3,14,12,11,9,18,17,16,15])).
% 0.20/0.65 cnf(38,plain,
% 0.20/0.65 ($false),
% 0.20/0.65 inference(scs_inference,[],[1,4,5,3,36,34,19]),
% 0.20/0.65 ['proof']).
% 0.20/0.65 % SZS output end Proof
% 0.20/0.65 % Total time :0.000000s
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