%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO193+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 : n017.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 06:04:23 EDT 2024
% Result : Theorem 41.08s 41.19s
% Output : CNFRefutation 41.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.13 % Problem : GEO193+1 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.14/0.34 % Computer : n017.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Jun 21 06:45:09 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.49/0.57 start to proof:theBenchmark
% 41.08/41.18 %-------------------------------------------
% 41.08/41.18 % File :CSE---1.7
% 41.08/41.18 % Problem :theBenchmark
% 41.08/41.18 % Transform :cnf
% 41.08/41.18 % Format :tptp:raw
% 41.08/41.18 % Command :java -jar mcs_scs.jar %d %s
% 41.08/41.18
% 41.08/41.18 % Result :Theorem 40.540000s
% 41.08/41.18 % Output :CNFRefutation 40.540000s
% 41.08/41.18 %-------------------------------------------
% 41.08/41.19 %------------------------------------------------------------------------------
% 41.08/41.19 % File : GEO193+1 : TPTP v8.2.0. Released v3.3.0.
% 41.08/41.19 % Domain : Geometry (Constructive)
% 41.08/41.19 % Problem : Corollary to symmetry of apartness
% 41.08/41.19 % Version : [vPl95] axioms : Especial.
% 41.08/41.19 % English : If the lines X, Y, and Z are pairwise convergent, and the
% 41.08/41.19 % intersection point of X and Y is apart from a line Z, then
% 41.08/41.19 % the intersection point of Y and Z is apart from X.
% 41.08/41.19
% 41.08/41.19 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 41.08/41.19 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 41.08/41.19 % Source : [ILTP]
% 41.08/41.19 % Names : Corollary 4.10.i [vPl95]
% 41.08/41.19
% 41.08/41.19 % Status : Theorem
% 41.08/41.19 % Rating : 0.06 v8.2.0, 0.00 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, 0.21 v5.4.0, 0.22 v5.3.0, 0.30 v5.2.0, 0.29 v5.0.0, 0.20 v4.1.0, 0.22 v4.0.1, 0.26 v4.0.0, 0.30 v3.7.0, 0.29 v3.5.0, 0.25 v3.4.0, 0.00 v3.3.0
% 41.08/41.19 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 41.08/41.19 % Number of atoms : 40 ( 0 equ)
% 41.08/41.19 % Maximal formula atoms : 6 ( 2 avg)
% 41.08/41.19 % Number of connectives : 32 ( 7 ~; 9 |; 3 &)
% 41.08/41.19 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 41.08/41.19 % Maximal formula depth : 9 ( 5 avg)
% 41.08/41.19 % Maximal term depth : 2 ( 1 avg)
% 41.08/41.19 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 41.08/41.19 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 41.08/41.19 % Number of variables : 36 ( 36 !; 0 ?)
% 41.08/41.19 % SPC : FOF_THM_RFO_NEQ
% 41.08/41.19
% 41.08/41.19 % Comments : Definitions unfolded, hence Especial.
% 41.08/41.19 %------------------------------------------------------------------------------
% 41.08/41.19 include('Axioms/GEO006+0.ax').
% 41.08/41.19 %------------------------------------------------------------------------------
% 41.08/41.19 fof(con,conjecture,
% 41.08/41.19 ! [X,Y,Z] :
% 41.08/41.19 ( ( convergent_lines(X,Y)
% 41.08/41.19 & convergent_lines(Z,Y)
% 41.08/41.19 & convergent_lines(X,Z) )
% 41.08/41.19 => ( apart_point_and_line(intersection_point(X,Y),Z)
% 41.08/41.19 => apart_point_and_line(intersection_point(Z,Y),X) ) ) ).
% 41.08/41.19
% 41.08/41.19 %------------------------------------------------------------------------------
% 41.08/41.19 %-------------------------------------------
% 41.08/41.19 % Proof found
% 41.08/41.19 % SZS status Theorem for theBenchmark
% 41.08/41.19 % SZS output start Proof
% 41.08/41.19 %ClaNum:19(EqnAxiom:0)
% 41.08/41.19 %VarNum:74(SingletonVarNum:33)
% 41.08/41.19 %MaxLitNum:6
% 41.08/41.19 %MaxfuncDepth:1
% 41.08/41.19 %SharedTerms:10
% 41.08/41.19 %goalClause: 1 2 3 4 8
% 41.08/41.19 %singleGoalClaCount:5
% 41.08/41.19 [1]P1(a1,a2)
% 41.08/41.19 [2]P1(a1,a3)
% 41.08/41.19 [3]P1(a3,a2)
% 41.08/41.19 [4]P2(f4(a1,a2),a3)
% 41.08/41.19 [8]~P2(f4(a3,a2),a1)
% 41.08/41.19 [5]~P3(x51,x51)
% 41.08/41.19 [6]~P4(x61,x61)
% 41.08/41.19 [7]~P1(x71,x71)
% 41.08/41.19 [15]~P3(x151,x152)+~P2(x152,f5(x151,x152))
% 41.08/41.19 [16]~P3(x161,x162)+~P2(x161,f5(x161,x162))
% 41.08/41.19 [17]~P1(x171,x172)+~P2(f4(x171,x172),x172)
% 41.08/41.19 [18]~P1(x181,x182)+~P2(f4(x181,x182),x181)
% 41.08/41.19 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 41.08/41.19 [10]~P2(x101,x103)+P3(x101,x102)+P2(x102,x103)
% 41.08/41.19 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 41.08/41.19 [12]~P1(x123,x121)+P4(x121,x122)+P1(x123,x122)
% 41.08/41.19 [13]~P2(x133,x131)+P4(x131,x132)+P2(x133,x132)
% 41.08/41.19 [14]~P1(x143,x141)+P1(x141,x142)+P1(x143,x142)
% 41.08/41.19 [19]P2(x194,x193)+~P3(x194,x191)+~P4(x193,x192)+P2(x191,x192)+P2(x191,x193)+P2(x194,x192)
% 41.08/41.19 %EqnAxiom
% 41.08/41.19
% 41.08/41.19 %-------------------------------------------
% 41.08/41.20 cnf(20,plain,
% 41.08/41.20 (P4(a2,a1)),
% 41.08/41.20 inference(scs_inference,[],[1,7,12])).
% 41.08/41.20 cnf(37,plain,
% 41.08/41.20 (~P2(f4(a3,a2),a2)),
% 41.08/41.20 inference(scs_inference,[],[3,6,17,12])).
% 41.08/41.20 cnf(65,plain,
% 41.08/41.20 (~P2(f4(a1,a2),a2)),
% 41.08/41.20 inference(scs_inference,[],[1,6,17,12])).
% 41.08/41.20 cnf(69,plain,
% 41.08/41.20 (~P2(f4(a1,a2),a1)),
% 41.08/41.20 inference(scs_inference,[],[1,6,18,12])).
% 41.08/41.20 cnf(126,plain,
% 41.08/41.20 (P3(f4(a1,a2),f4(a3,a2))),
% 41.08/41.20 inference(scs_inference,[],[4,3,10,18])).
% 41.08/41.20 cnf(164,plain,
% 41.08/41.20 (P3(f4(a3,a2),f4(a1,a2))),
% 41.08/41.20 inference(scs_inference,[],[126,5,9])).
% 41.08/41.20 cnf(1003,plain,
% 41.08/41.20 ($false),
% 41.08/41.20 inference(scs_inference,[],[8,37,65,20,69,164,19]),
% 41.08/41.20 ['proof']).
% 41.16/41.20 % SZS output end Proof
% 41.16/41.20 % Total time :40.540000s
%------------------------------------------------------------------------------