%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO208+1 : 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 : 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 : Mon Jun 24 06:04:33 EDT 2024
% Result : Theorem 0.19s 0.58s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO208+1 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.32 % Computer : n027.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Fri Jun 21 09:28:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.54 start to proof:theBenchmark
% 0.19/0.58 %-------------------------------------------
% 0.19/0.58 % File :CSE---1.7
% 0.19/0.58 % Problem :theBenchmark
% 0.19/0.58 % Transform :cnf
% 0.19/0.58 % Format :tptp:raw
% 0.19/0.58 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.58
% 0.19/0.58 % Result :Theorem 0.000000s
% 0.19/0.58 % Output :CNFRefutation 0.000000s
% 0.19/0.58 %-------------------------------------------
% 0.19/0.58 %------------------------------------------------------------------------------
% 0.19/0.58 % File : GEO208+1 : TPTP v8.2.0. Released v3.3.0.
% 0.19/0.58 % Domain : Geometry (Constructive)
% 0.19/0.58 % Problem : Point on both parallel lines
% 0.19/0.58 % Version : [vPl95] axioms : Especial.
% 0.19/0.58 % English : If the point X is incident with both the lines Y and Z, and
% 0.19/0.58 % Y and Z are parallel, then Y and Z are equal.
% 0.19/0.58
% 0.19/0.58 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.19/0.58 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.19/0.58 % Source : [ILTP]
% 0.19/0.58 % Names : Lemma 7.3 [vPl95]
% 0.19/0.58
% 0.19/0.58 % Status : Theorem
% 0.19/0.58 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.00 v3.3.0
% 0.19/0.58 % Syntax : Number of formulae : 18 ( 5 unt; 0 def)
% 0.19/0.58 % Number of atoms : 45 ( 0 equ)
% 0.19/0.58 % Maximal formula atoms : 6 ( 2 avg)
% 0.19/0.58 % Number of connectives : 40 ( 13 ~; 11 |; 3 &)
% 0.19/0.58 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.19/0.58 % Maximal formula depth : 9 ( 5 avg)
% 0.19/0.58 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.58 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.19/0.58 % Number of functors : 3 ( 3 usr; 0 con; 2-2 aty)
% 0.19/0.58 % Number of variables : 43 ( 43 !; 0 ?)
% 0.19/0.58 % SPC : FOF_THM_RFO_NEQ
% 0.19/0.58
% 0.19/0.58 % Comments : Definitions unfolded, hence Especial.
% 0.19/0.58 %------------------------------------------------------------------------------
% 0.19/0.58 include('Axioms/GEO006+0.ax').
% 0.19/0.58 include('Axioms/GEO006+2.ax').
% 0.19/0.58 %------------------------------------------------------------------------------
% 0.19/0.58 fof(con,conjecture,
% 0.19/0.58 ! [X,Y,Z] :
% 0.19/0.58 ( ( ~ apart_point_and_line(X,Y)
% 0.19/0.58 & ~ apart_point_and_line(X,Z)
% 0.19/0.58 & ~ convergent_lines(Y,Z) )
% 0.19/0.58 => ~ distinct_lines(Y,Z) ) ).
% 0.19/0.58
% 0.19/0.58 %------------------------------------------------------------------------------
% 0.19/0.58 %-------------------------------------------
% 0.19/0.58 % Proof found
% 0.19/0.58 % SZS status Theorem for theBenchmark
% 0.19/0.58 % SZS output start Proof
% 0.19/0.58 %ClaNum:21(EqnAxiom:0)
% 0.19/0.58 %VarNum:88(SingletonVarNum:40)
% 0.19/0.58 %MaxLitNum:6
% 0.19/0.58 %MaxfuncDepth:1
% 0.19/0.58 %SharedTerms:7
% 0.19/0.58 %goalClause: 1 2 3 4
% 0.19/0.58 %singleGoalClaCount:4
% 0.19/0.58 [1]P1(a1,a3)
% 0.19/0.58 [2]~P2(a1,a3)
% 0.19/0.59 [3]~P3(a2,a1)
% 0.19/0.59 [4]~P3(a2,a3)
% 0.19/0.59 [5]~P4(x51,x51)
% 0.19/0.59 [6]~P1(x61,x61)
% 0.19/0.59 [7]~P2(x71,x71)
% 0.19/0.59 [8]~P3(x81,f4(x82,x81))
% 0.19/0.59 [9]~P2(f4(x91,x92),x91)
% 0.19/0.59 [17]~P4(x171,x172)+~P3(x172,f5(x171,x172))
% 0.19/0.59 [18]~P4(x181,x182)+~P3(x181,f5(x181,x182))
% 0.19/0.59 [19]~P2(x191,x192)+~P3(f6(x191,x192),x192)
% 0.19/0.59 [20]~P2(x201,x202)+~P3(f6(x201,x202),x201)
% 0.19/0.59 [10]~P4(x103,x101)+P4(x101,x102)+P4(x103,x102)
% 0.19/0.59 [11]~P3(x111,x113)+P4(x111,x112)+P3(x112,x113)
% 0.19/0.59 [12]~P1(x123,x121)+P1(x121,x122)+P1(x123,x122)
% 0.19/0.59 [13]~P2(x133,x131)+P1(x131,x132)+P2(x133,x132)
% 0.19/0.59 [14]~P3(x143,x141)+P1(x141,x142)+P3(x143,x142)
% 0.19/0.59 [15]~P2(x153,x151)+P2(x151,x152)+P2(x153,x152)
% 0.19/0.59 [16]P3(x163,x161)+~P1(x161,x162)+P2(x161,x162)+P3(x163,x162)
% 0.19/0.59 [21]P3(x214,x213)+~P4(x214,x211)+~P1(x213,x212)+P3(x211,x212)+P3(x211,x213)+P3(x214,x212)
% 0.19/0.59 %EqnAxiom
% 0.19/0.59
% 0.19/0.59 %-------------------------------------------
% 0.19/0.59 cnf(22,plain,
% 0.19/0.59 ($false),
% 0.19/0.59 inference(scs_inference,[],[3,1,2,4,16]),
% 0.19/0.59 ['proof']).
% 0.19/0.59 % SZS output end Proof
% 0.19/0.59 % Total time :0.000000s
%------------------------------------------------------------------------------