%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO193+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 : n028.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 34.74s 34.84s
% Output : CNFRefutation 34.74s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO193+2 : 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
% 0.12/0.33 % Computer : n028.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 06:28:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.55 start to proof:theBenchmark
% 34.74/34.83 %-------------------------------------------
% 34.74/34.83 % File :CSE---1.7
% 34.74/34.83 % Problem :theBenchmark
% 34.74/34.83 % Transform :cnf
% 34.74/34.83 % Format :tptp:raw
% 34.74/34.83 % Command :java -jar mcs_scs.jar %d %s
% 34.74/34.83
% 34.74/34.83 % Result :Theorem 34.230000s
% 34.74/34.83 % Output :CNFRefutation 34.230000s
% 34.74/34.83 %-------------------------------------------
% 34.74/34.84 %------------------------------------------------------------------------------
% 34.74/34.84 % File : GEO193+2 : TPTP v8.2.0. Released v3.3.0.
% 34.74/34.84 % Domain : Geometry (Constructive)
% 34.74/34.84 % Problem : Corollary to symmetry of apartness
% 34.74/34.84 % Version : [vPl95] axioms : Reduced > Especial.
% 34.74/34.84 % English : If the lines X, Y, and Z are pairwise convergent, and the
% 34.74/34.84 % intersection point of X and Y is apart from a line Z, then
% 34.74/34.84 % the intersection point of Y and Z is apart from X.
% 34.74/34.84
% 34.74/34.84 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 34.74/34.84 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 34.74/34.84 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 34.74/34.84 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 34.74/34.84 % Source : [ILTP]
% 34.74/34.84 % Names :
% 34.74/34.84
% 34.74/34.84 % Status : Theorem
% 34.74/34.84 % Rating : 0.06 v8.2.0, 0.00 v6.1.0, 0.08 v6.0.0, 0.25 v5.4.0, 0.22 v5.3.0, 0.30 v5.2.0, 0.21 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.16 v4.0.0, 0.20 v3.7.0, 0.29 v3.5.0, 0.25 v3.4.0, 0.00 v3.3.0
% 34.74/34.84 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 34.74/34.84 % Number of atoms : 39 ( 0 equ)
% 34.74/34.84 % Maximal formula atoms : 6 ( 3 avg)
% 34.74/34.84 % Number of connectives : 29 ( 3 ~; 9 |; 4 &)
% 34.74/34.84 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 34.74/34.84 % Maximal formula depth : 9 ( 6 avg)
% 34.74/34.84 % Maximal term depth : 2 ( 1 avg)
% 34.74/34.84 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 34.74/34.84 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 34.74/34.84 % Number of variables : 33 ( 33 !; 0 ?)
% 34.74/34.84 % SPC : FOF_THM_RFO_NEQ
% 34.74/34.84
% 34.74/34.84 % Comments : Definitions unfolded, hence Especial.
% 34.74/34.84 %------------------------------------------------------------------------------
% 34.74/34.84 include('Axioms/GEO008+0.ax').
% 34.74/34.84 %------------------------------------------------------------------------------
% 34.74/34.84 fof(con,conjecture,
% 34.74/34.84 ! [X,Y,Z] :
% 34.74/34.84 ( ( convergent_lines(X,Y)
% 34.74/34.84 & convergent_lines(Z,Y)
% 34.74/34.84 & convergent_lines(X,Z) )
% 34.74/34.84 => ( apart_point_and_line(intersection_point(X,Y),Z)
% 34.74/34.84 => apart_point_and_line(intersection_point(Z,Y),X) ) ) ).
% 34.74/34.84
% 34.74/34.84 %------------------------------------------------------------------------------
% 34.74/34.84 %-------------------------------------------
% 34.74/34.84 % Proof found
% 34.74/34.84 % SZS status Theorem for theBenchmark
% 34.74/34.84 % SZS output start Proof
% 34.74/34.84 %ClaNum:19(EqnAxiom:0)
% 34.74/34.84 %VarNum:80(SingletonVarNum:36)
% 34.74/34.84 %MaxLitNum:6
% 34.74/34.84 %MaxfuncDepth:1
% 34.74/34.84 %SharedTerms:10
% 34.74/34.84 %goalClause: 1 2 3 4 8
% 34.74/34.84 %singleGoalClaCount:5
% 34.74/34.84 [1]P1(a1,a2)
% 34.74/34.84 [2]P1(a1,a3)
% 34.74/34.84 [3]P1(a3,a2)
% 34.74/34.84 [4]P2(f4(a1,a2),a3)
% 34.74/34.84 [8]~P2(f4(a3,a2),a1)
% 34.74/34.84 [5]~P3(x51,x51)
% 34.74/34.84 [6]~P4(x61,x61)
% 34.74/34.84 [7]~P1(x71,x71)
% 34.74/34.84 [9]~P1(x91,x92)+P4(x91,x92)
% 34.74/34.84 [10]~P3(x103,x101)+P3(x101,x102)+P3(x103,x102)
% 34.74/34.84 [11]~P2(x111,x113)+P3(x111,x112)+P2(x112,x113)
% 34.74/34.84 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 34.74/34.84 [13]~P2(x133,x131)+P4(x131,x132)+P2(x133,x132)
% 34.74/34.84 [14]~P1(x143,x141)+P1(x141,x142)+P1(x143,x142)
% 34.74/34.84 [15]~P1(x152,x153)+~P2(x151,x153)+P3(x151,f4(x152,x153))
% 34.74/34.84 [16]~P1(x162,x163)+~P2(x161,x162)+P3(x161,f4(x162,x163))
% 34.74/34.84 [17]P3(x171,x172)+~P3(x173,x172)+~P2(x171,f5(x173,x172))
% 34.74/34.84 [18]P3(x181,x182)+~P3(x182,x183)+~P2(x181,f5(x182,x183))
% 34.74/34.84 [19]P2(x194,x193)+~P3(x194,x191)+~P4(x193,x192)+P2(x191,x192)+P2(x191,x193)+P2(x194,x192)
% 34.74/34.84 %EqnAxiom
% 34.74/34.84
% 34.74/34.84 %-------------------------------------------
% 34.74/34.85 cnf(23,plain,
% 34.74/34.85 (~P2(f4(a1,a2),a2)),
% 34.74/34.85 inference(scs_inference,[],[1,5,7,14,15])).
% 34.74/34.85 cnf(24,plain,
% 34.74/34.85 (~P3(x241,x241)),
% 34.74/34.85 inference(rename_variables,[],[5])).
% 34.74/34.85 cnf(26,plain,
% 34.74/34.85 (~P2(f4(a1,a2),a1)),
% 34.74/34.85 inference(scs_inference,[],[1,5,24,7,14,15,16])).
% 34.74/34.85 cnf(56,plain,
% 34.74/34.85 (~P3(x561,x561)),
% 34.74/34.85 inference(rename_variables,[],[5])).
% 34.74/34.85 cnf(61,plain,
% 34.74/34.85 (~P2(f4(a3,a2),a2)),
% 34.74/34.85 inference(scs_inference,[],[3,7,5,56,16,14,15])).
% 34.74/34.85 cnf(64,plain,
% 34.74/34.85 (P3(f4(a1,a2),f4(a3,a2))),
% 34.74/34.85 inference(scs_inference,[],[3,4,7,5,56,16,14,15,11])).
% 34.74/34.85 cnf(70,plain,
% 34.74/34.85 (P3(f4(a3,a2),f4(a1,a2))),
% 34.74/34.85 inference(scs_inference,[],[64,5,10])).
% 34.74/34.85 cnf(84,plain,
% 34.74/34.85 (P4(a1,a2)),
% 34.74/34.85 inference(scs_inference,[],[1,7,14,9])).
% 34.74/34.85 cnf(87,plain,
% 34.74/34.85 (P4(a2,a1)),
% 34.74/34.85 inference(scs_inference,[],[84,6,12])).
% 34.74/34.85 cnf(576,plain,
% 34.74/34.85 ($false),
% 34.74/34.85 inference(scs_inference,[],[8,61,23,26,87,70,19]),
% 34.74/34.85 ['proof']).
% 34.74/34.85 % SZS output end Proof
% 34.74/34.85 % Total time :34.230000s
%------------------------------------------------------------------------------