%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO226+2 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n022.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 06:04:44 EDT 2024
% Result : Theorem 0.52s 0.59s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO226+2 : TPTP v8.2.0. Released v3.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n022.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % 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 06:54:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.52/0.59 %-------------------------------------------
% 0.52/0.59 % File :CSE---1.7
% 0.52/0.59 % Problem :theBenchmark
% 0.52/0.59 % Transform :cnf
% 0.52/0.59 % Format :tptp:raw
% 0.52/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.52/0.59
% 0.52/0.59 % Result :Theorem 0.000000s
% 0.52/0.59 % Output :CNFRefutation 0.000000s
% 0.52/0.59 %-------------------------------------------
% 0.52/0.59 %------------------------------------------------------------------------------
% 0.52/0.59 % File : GEO226+2 : TPTP v8.2.0. Released v3.3.0.
% 0.52/0.59 % Domain : Geometry (Constructive)
% 0.52/0.59 % Problem : Existence of point incident to line
% 0.52/0.59 % Version : [vPl95] axioms : Reduced > Especial.
% 0.52/0.59 % English : Assume orthogonal geometry. Given a point and a line, to find
% 0.52/0.59 % a point incident with the line.
% 0.52/0.59
% 0.52/0.59 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.52/0.59 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.52/0.59 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.52/0.59 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.52/0.59 % Source : [ILTP]
% 0.52/0.59 % Names :
% 0.52/0.59
% 0.52/0.59 % Status : Theorem
% 0.52/0.59 % Rating : 0.00 v7.5.0, 0.14 v7.4.0, 0.00 v7.0.0, 0.21 v6.4.0, 0.07 v6.3.0, 0.08 v6.2.0, 0.09 v6.1.0, 0.12 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.13 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
% 0.52/0.59 % Syntax : Number of formulae : 17 ( 3 unt; 0 def)
% 0.52/0.59 % Number of atoms : 54 ( 0 equ)
% 0.52/0.59 % Maximal formula atoms : 6 ( 3 avg)
% 0.52/0.59 % Number of connectives : 42 ( 5 ~; 9 |; 11 &)
% 0.52/0.59 % ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% 0.52/0.59 % Maximal formula depth : 9 ( 6 avg)
% 0.52/0.59 % Maximal term depth : 2 ( 1 avg)
% 0.52/0.59 % Number of predicates : 6 ( 6 usr; 0 prp; 1-2 aty)
% 0.52/0.59 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.52/0.59 % Number of variables : 41 ( 40 !; 1 ?)
% 0.52/0.59 % SPC : FOF_THM_RFO_NEQ
% 0.52/0.59
% 0.52/0.59 % Comments : Definitions unfolded, hence Especial.
% 0.52/0.59 %------------------------------------------------------------------------------
% 0.52/0.59 include('Axioms/GEO008+0.ax').
% 0.52/0.59 include('Axioms/GEO006+5.ax').
% 0.52/0.59 %------------------------------------------------------------------------------
% 0.52/0.59 fof(con,conjecture,
% 0.52/0.59 ! [L,M] :
% 0.52/0.59 ( ( line(L)
% 0.52/0.59 & line(M)
% 0.52/0.59 & convergent_lines(L,M) )
% 0.52/0.59 => ? [X] :
% 0.52/0.59 ( point(X)
% 0.52/0.59 => ( ~ apart_point_and_line(X,L)
% 0.52/0.59 & ~ apart_point_and_line(X,M) ) ) ) ).
% 0.52/0.59
% 0.52/0.59 %------------------------------------------------------------------------------
% 0.52/0.59 %-------------------------------------------
% 0.52/0.59 % Proof found
% 0.52/0.59 % SZS status Theorem for theBenchmark
% 0.52/0.59 % SZS output start Proof
% 0.52/0.60 %ClaNum:21(EqnAxiom:0)
% 0.52/0.60 %VarNum:92(SingletonVarNum:43)
% 0.52/0.60 %MaxLitNum:6
% 0.52/0.60 %MaxfuncDepth:1
% 0.52/0.60 %SharedTerms:5
% 0.52/0.60 %goalClause: 1 2 3 7 9 10 16
% 0.52/0.60 %singleGoalClaCount:3
% 0.52/0.60 [1]P1(a1)
% 0.52/0.60 [2]P1(a2)
% 0.52/0.60 [3]P2(a1,a2)
% 0.52/0.60 [4]~P4(x41,x41)
% 0.52/0.60 [5]~P5(x51,x51)
% 0.52/0.60 [6]~P2(x61,x61)
% 0.52/0.60 [7]P3(x71,a2)+P3(x71,a1)
% 0.52/0.60 [8]~P2(x81,x82)+P5(x81,x82)
% 0.52/0.60 [9]~P1(x91)+P1(f3(x91,x92))
% 0.52/0.60 [10]~P1(x101)+P1(f4(x101,x102))
% 0.52/0.60 [16]~P4(x161,x162)+P1(f5(x161,x162))
% 0.52/0.60 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 0.52/0.60 [12]~P3(x121,x123)+P4(x121,x122)+P3(x122,x123)
% 0.52/0.60 [13]~P5(x133,x131)+P5(x131,x132)+P5(x133,x132)
% 0.52/0.60 [14]~P3(x143,x141)+P5(x141,x142)+P3(x143,x142)
% 0.52/0.60 [15]~P2(x153,x151)+P2(x151,x152)+P2(x153,x152)
% 0.52/0.60 [17]~P2(x172,x173)+~P3(x171,x173)+P4(x171,f6(x172,x173))
% 0.52/0.60 [18]~P2(x182,x183)+~P3(x181,x182)+P4(x181,f6(x182,x183))
% 0.52/0.60 [19]P4(x191,x192)+~P4(x193,x192)+~P3(x191,f5(x193,x192))
% 0.52/0.60 [20]P4(x201,x202)+~P4(x202,x203)+~P3(x201,f5(x202,x203))
% 0.52/0.60 [21]P3(x214,x213)+~P4(x214,x211)+~P5(x213,x212)+P3(x211,x212)+P3(x211,x213)+P3(x214,x212)
% 0.52/0.60 %EqnAxiom
% 0.52/0.60
% 0.52/0.60 %-------------------------------------------
% 0.52/0.60 cnf(26,plain,
% 0.52/0.60 (~P4(x261,x261)),
% 0.52/0.60 inference(rename_variables,[],[4])).
% 0.52/0.60 cnf(31,plain,
% 0.52/0.60 ($false),
% 0.52/0.60 inference(scs_inference,[],[3,4,26,6,15,17,18,7]),
% 0.52/0.60 ['proof']).
% 0.52/0.60 % SZS output end Proof
% 0.52/0.60 % Total time :0.000000s
%------------------------------------------------------------------------------