%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO208+2 : 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 : n001.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 0.51s 0.60s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GEO208+2 : TPTP v8.2.0. Released v3.3.0.
% 0.02/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.09/0.31 % Computer : n001.cluster.edu
% 0.09/0.31 % Model : x86_64 x86_64
% 0.09/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.31 % Memory : 8042.1875MB
% 0.09/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.31 % CPULimit : 300
% 0.09/0.31 % WCLimit : 300
% 0.09/0.31 % DateTime : Fri Jun 21 08:25:24 EDT 2024
% 0.09/0.31 % CPUTime :
% 0.51/0.56 start to proof:theBenchmark
% 0.51/0.59 %-------------------------------------------
% 0.51/0.59 % File :CSE---1.7
% 0.51/0.59 % Problem :theBenchmark
% 0.51/0.59 % Transform :cnf
% 0.51/0.59 % Format :tptp:raw
% 0.51/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.59
% 0.51/0.59 % Result :Theorem 0.000000s
% 0.51/0.59 % Output :CNFRefutation 0.000000s
% 0.51/0.59 %-------------------------------------------
% 0.51/0.60 %------------------------------------------------------------------------------
% 0.51/0.60 % File : GEO208+2 : TPTP v8.2.0. Released v3.3.0.
% 0.51/0.60 % Domain : Geometry (Constructive)
% 0.51/0.60 % Problem : Point on both parallel lines
% 0.51/0.60 % Version : [vPl95] axioms : Reduced > Especial.
% 0.51/0.60 % English : If the point X is incident with both the lines Y and Z, and
% 0.51/0.60 % Y and Z are parallel, then Y and Z are equal.
% 0.51/0.60
% 0.51/0.60 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.51/0.60 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.51/0.60 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.51/0.60 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.51/0.60 % Source : [ILTP]
% 0.51/0.60 % Names :
% 0.51/0.60
% 0.51/0.60 % Status : Theorem
% 0.51/0.60 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.00 v3.3.0
% 0.51/0.60 % Syntax : Number of formulae : 16 ( 5 unt; 0 def)
% 0.51/0.60 % Number of atoms : 44 ( 0 equ)
% 0.51/0.60 % Maximal formula atoms : 6 ( 2 avg)
% 0.51/0.60 % Number of connectives : 37 ( 9 ~; 11 |; 4 &)
% 0.51/0.60 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.51/0.60 % Maximal formula depth : 9 ( 6 avg)
% 0.51/0.60 % Maximal term depth : 2 ( 1 avg)
% 0.51/0.60 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.51/0.60 % Number of functors : 3 ( 3 usr; 0 con; 2-2 aty)
% 0.51/0.60 % Number of variables : 40 ( 40 !; 0 ?)
% 0.51/0.60 % SPC : FOF_THM_RFO_NEQ
% 0.51/0.60
% 0.51/0.60 % Comments : Definitions unfolded, hence Especial.
% 0.51/0.60 %------------------------------------------------------------------------------
% 0.51/0.60 include('Axioms/GEO008+0.ax').
% 0.51/0.60 include('Axioms/GEO006+2.ax').
% 0.51/0.60 %------------------------------------------------------------------------------
% 0.51/0.60 fof(con,conjecture,
% 0.51/0.60 ! [X,Y,Z] :
% 0.51/0.60 ( ( ~ apart_point_and_line(X,Y)
% 0.51/0.60 & ~ apart_point_and_line(X,Z)
% 0.51/0.60 & ~ convergent_lines(Y,Z) )
% 0.51/0.60 => ~ distinct_lines(Y,Z) ) ).
% 0.51/0.60
% 0.51/0.60 %------------------------------------------------------------------------------
% 0.51/0.60 %-------------------------------------------
% 0.51/0.60 % Proof found
% 0.51/0.60 % SZS status Theorem for theBenchmark
% 0.51/0.60 % SZS output start Proof
% 0.51/0.60 %ClaNum:21(EqnAxiom:0)
% 0.51/0.60 %VarNum:94(SingletonVarNum:43)
% 0.51/0.60 %MaxLitNum:6
% 0.51/0.60 %MaxfuncDepth:1
% 0.51/0.60 %SharedTerms:7
% 0.51/0.60 %goalClause: 1 2 3 4
% 0.51/0.60 %singleGoalClaCount:4
% 0.51/0.60 [1]P1(a1,a3)
% 0.51/0.60 [2]~P2(a1,a3)
% 0.51/0.60 [3]~P3(a2,a1)
% 0.51/0.60 [4]~P3(a2,a3)
% 0.51/0.60 [5]~P4(x51,x51)
% 0.51/0.60 [6]~P1(x61,x61)
% 0.51/0.60 [7]~P2(x71,x71)
% 0.51/0.60 [8]~P3(x81,f4(x82,x81))
% 0.51/0.60 [9]~P2(f4(x91,x92),x91)
% 0.51/0.60 [10]~P2(x101,x102)+P1(x101,x102)
% 0.51/0.60 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 0.51/0.60 [12]~P3(x121,x123)+P4(x121,x122)+P3(x122,x123)
% 0.51/0.60 [13]~P1(x133,x131)+P1(x131,x132)+P1(x133,x132)
% 0.51/0.60 [14]~P3(x143,x141)+P1(x141,x142)+P3(x143,x142)
% 0.51/0.60 [15]~P2(x153,x151)+P2(x151,x152)+P2(x153,x152)
% 0.51/0.60 [17]~P2(x172,x173)+~P3(x171,x173)+P4(x171,f5(x172,x173))
% 0.51/0.60 [18]~P2(x182,x183)+~P3(x181,x182)+P4(x181,f5(x182,x183))
% 0.51/0.60 [19]P4(x191,x192)+~P4(x193,x192)+~P3(x191,f6(x193,x192))
% 0.51/0.60 [20]P4(x201,x202)+~P4(x202,x203)+~P3(x201,f6(x202,x203))
% 0.51/0.60 [16]P3(x163,x161)+~P1(x161,x162)+P2(x161,x162)+P3(x163,x162)
% 0.51/0.60 [21]P3(x214,x213)+~P4(x214,x211)+~P1(x213,x212)+P3(x211,x212)+P3(x211,x213)+P3(x214,x212)
% 0.51/0.60 %EqnAxiom
% 0.51/0.60
% 0.51/0.60 %-------------------------------------------
% 0.51/0.60 cnf(22,plain,
% 0.51/0.60 ($false),
% 0.51/0.60 inference(scs_inference,[],[3,1,2,4,16]),
% 0.51/0.60 ['proof']).
% 0.51/0.60 % SZS output end Proof
% 0.51/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------