%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO199+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 06:04:27 EDT 2024
% Result : Theorem 32.44s 32.60s
% Output : CNFRefutation 32.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : GEO199+1 : TPTP v8.2.0. Released v3.3.0.
% 0.09/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.10/0.30 % Computer : n017.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Fri Jun 21 07:47:23 EDT 2024
% 0.10/0.30 % CPUTime :
% 0.15/0.53 start to proof:theBenchmark
% 32.44/32.59 %-------------------------------------------
% 32.44/32.59 % File :CSE---1.7
% 32.44/32.59 % Problem :theBenchmark
% 32.44/32.59 % Transform :cnf
% 32.44/32.59 % Format :tptp:raw
% 32.44/32.59 % Command :java -jar mcs_scs.jar %d %s
% 32.44/32.59
% 32.44/32.59 % Result :Theorem 31.980000s
% 32.44/32.59 % Output :CNFRefutation 31.980000s
% 32.44/32.59 %-------------------------------------------
% 32.44/32.59 %------------------------------------------------------------------------------
% 32.44/32.59 % File : GEO199+1 : TPTP v8.2.0. Released v3.3.0.
% 32.44/32.59 % Domain : Geometry (Constructive)
% 32.44/32.59 % Problem : Corollary to symmetry of incidence
% 32.44/32.59 % Version : [vPl95] axioms : Especial.
% 32.44/32.59 % English : If the lines X, Y, and Z are pairwise convergent, and the
% 32.44/32.59 % intersection point of X and Y is incident with Z, then the
% 32.44/32.59 % intersection point of Y and X is incident with Z.
% 32.44/32.59
% 32.44/32.59 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 32.44/32.59 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 32.44/32.59 % Source : [ILTP]
% 32.44/32.59 % Names : Corollary 4.12.iii [vPl95]
% 32.44/32.59
% 32.44/32.59 % Status : Theorem
% 32.44/32.59 % Rating : 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 v5.4.0, 0.26 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
% 32.44/32.59 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 32.44/32.59 % Number of atoms : 40 ( 0 equ)
% 32.44/32.59 % Maximal formula atoms : 6 ( 2 avg)
% 32.44/32.59 % Number of connectives : 34 ( 9 ~; 9 |; 4 &)
% 32.44/32.59 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 32.44/32.59 % Maximal formula depth : 9 ( 6 avg)
% 32.44/32.59 % Maximal term depth : 2 ( 1 avg)
% 32.44/32.59 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 32.44/32.59 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 32.44/32.59 % Number of variables : 36 ( 36 !; 0 ?)
% 32.44/32.59 % SPC : FOF_THM_RFO_NEQ
% 32.44/32.59
% 32.44/32.59 % Comments : Definitions unfolded, hence Especial.
% 32.44/32.59 %------------------------------------------------------------------------------
% 32.44/32.59 include('Axioms/GEO006+0.ax').
% 32.44/32.59 %------------------------------------------------------------------------------
% 32.44/32.59 fof(con,conjecture,
% 32.44/32.59 ! [X,Y,Z] :
% 32.44/32.59 ( ( convergent_lines(X,Y)
% 32.44/32.59 & convergent_lines(Z,Y)
% 32.44/32.59 & convergent_lines(X,Z)
% 32.44/32.60 & ~ apart_point_and_line(intersection_point(X,Y),Z) )
% 32.44/32.60 => ~ apart_point_and_line(intersection_point(Y,X),Z) ) ).
% 32.44/32.60
% 32.44/32.60 %------------------------------------------------------------------------------
% 32.44/32.60 %-------------------------------------------
% 32.44/32.60 % Proof found
% 32.44/32.60 % SZS status Theorem for theBenchmark
% 32.44/32.60 % SZS output start Proof
% 32.44/32.60 %ClaNum:19(EqnAxiom:0)
% 32.44/32.60 %VarNum:74(SingletonVarNum:33)
% 32.44/32.60 %MaxLitNum:6
% 32.44/32.60 %MaxfuncDepth:1
% 32.44/32.60 %SharedTerms:10
% 32.44/32.60 %goalClause: 1 2 3 4 8
% 32.44/32.60 %singleGoalClaCount:5
% 32.44/32.60 [1]P1(a1,a2)
% 32.44/32.60 [2]P1(a1,a3)
% 32.44/32.60 [3]P1(a3,a2)
% 32.44/32.60 [4]P2(f4(a2,a1),a3)
% 32.44/32.60 [8]~P2(f4(a1,a2),a3)
% 32.44/32.60 [5]~P3(x51,x51)
% 32.44/32.60 [6]~P4(x61,x61)
% 32.44/32.60 [7]~P1(x71,x71)
% 32.44/32.60 [15]~P3(x151,x152)+~P2(x152,f5(x151,x152))
% 32.44/32.60 [16]~P3(x161,x162)+~P2(x161,f5(x161,x162))
% 32.44/32.60 [17]~P1(x171,x172)+~P2(f4(x171,x172),x172)
% 32.44/32.60 [18]~P1(x181,x182)+~P2(f4(x181,x182),x181)
% 32.44/32.60 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 32.44/32.60 [10]~P2(x101,x103)+P3(x101,x102)+P2(x102,x103)
% 32.44/32.60 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 32.44/32.60 [12]~P1(x123,x121)+P4(x121,x122)+P1(x123,x122)
% 32.44/32.60 [13]~P2(x133,x131)+P4(x131,x132)+P2(x133,x132)
% 32.44/32.60 [14]~P1(x143,x141)+P1(x141,x142)+P1(x143,x142)
% 32.44/32.60 [19]P2(x194,x193)+~P3(x194,x191)+~P4(x193,x192)+P2(x191,x192)+P2(x191,x193)+P2(x194,x192)
% 32.44/32.60 %EqnAxiom
% 32.44/32.60
% 32.44/32.60 %-------------------------------------------
% 32.44/32.60 cnf(22,plain,
% 32.44/32.60 (P4(a2,a1)),
% 32.44/32.60 inference(scs_inference,[],[1,4,8,7,10,12])).
% 32.44/32.60 cnf(23,plain,
% 32.44/32.60 (~P1(x231,x231)),
% 32.44/32.60 inference(rename_variables,[],[7])).
% 32.44/32.60 cnf(25,plain,
% 32.44/32.60 (P1(a2,a1)),
% 32.44/32.60 inference(scs_inference,[],[1,4,8,7,23,10,12,14])).
% 32.44/32.60 cnf(28,plain,
% 32.44/32.60 (P3(f4(a1,a2),f4(a2,a1))),
% 32.44/32.60 inference(scs_inference,[],[1,4,8,5,7,23,10,12,14,9])).
% 32.44/32.60 cnf(46,plain,
% 32.44/32.60 (~P2(f4(a1,a3),a3)),
% 32.44/32.60 inference(scs_inference,[],[2,6,17,12])).
% 32.44/32.60 cnf(56,plain,
% 32.44/32.60 (~P2(f4(a3,a2),a2)),
% 32.44/32.60 inference(scs_inference,[],[3,6,17,13])).
% 32.44/32.60 cnf(57,plain,
% 32.44/32.60 (~P2(f4(a1,a2),a2)),
% 32.44/32.60 inference(scs_inference,[],[1,6,17,12])).
% 32.44/32.60 cnf(58,plain,
% 32.44/32.60 (~P2(f4(a3,a1),a1)),
% 32.44/32.60 inference(scs_inference,[],[7,2,17,14])).
% 32.44/32.60 cnf(60,plain,
% 32.44/32.60 (~P2(f4(a2,a1),a1)),
% 32.44/32.60 inference(scs_inference,[],[7,1,17,14])).
% 32.52/32.60 cnf(64,plain,
% 32.52/32.60 (~P2(f4(a2,a1),a2)),
% 32.52/32.60 inference(scs_inference,[],[25,6,18,12])).
% 32.52/32.60 cnf(65,plain,
% 32.52/32.60 (~P2(f4(a1,a3),a1)),
% 32.52/32.60 inference(scs_inference,[],[2,6,18,13])).
% 32.52/32.60 cnf(66,plain,
% 32.52/32.60 (~P2(f4(a3,a2),a3)),
% 32.52/32.60 inference(scs_inference,[],[3,6,18,13])).
% 32.52/32.60 cnf(67,plain,
% 32.52/32.60 (~P2(f4(a1,a2),a1)),
% 32.52/32.60 inference(scs_inference,[],[1,6,18,12])).
% 32.52/32.60 cnf(68,plain,
% 32.52/32.60 (~P2(f4(a3,a1),a3)),
% 32.52/32.60 inference(scs_inference,[],[7,2,18,14])).
% 32.52/32.60 cnf(72,plain,
% 32.52/32.60 (P3(f4(a2,a1),f4(a1,a3))),
% 32.52/32.60 inference(scs_inference,[],[4,2,10,17])).
% 32.52/32.60 cnf(73,plain,
% 32.52/32.60 (~P2(f4(a1,a3),f5(f4(a2,a1),f4(a1,a3)))),
% 32.52/32.60 inference(scs_inference,[],[5,72,10,15])).
% 32.52/32.60 cnf(74,plain,
% 32.52/32.60 (~P2(f4(a2,a1),f5(f4(a2,a1),f4(a1,a3)))),
% 32.52/32.60 inference(scs_inference,[],[5,72,10,16])).
% 32.52/32.60 cnf(80,plain,
% 32.52/32.60 (P3(f4(a2,a1),f4(a3,a2))),
% 32.52/32.60 inference(scs_inference,[],[4,3,10,18])).
% 32.52/32.60 cnf(81,plain,
% 32.52/32.60 (P3(f4(a1,a3),f4(a2,a1))),
% 32.52/32.60 inference(scs_inference,[],[4,46,5,10,9])).
% 32.52/32.60 cnf(82,plain,
% 32.52/32.60 (~P2(f4(a3,a2),f5(f4(a2,a1),f4(a3,a2)))),
% 32.52/32.60 inference(scs_inference,[],[5,80,10,15])).
% 32.52/32.60 cnf(83,plain,
% 32.52/32.60 (~P2(f4(a2,a1),f5(f4(a2,a1),f4(a3,a2)))),
% 32.52/32.60 inference(scs_inference,[],[5,80,10,16])).
% 32.52/32.60 cnf(125,plain,
% 32.52/32.60 (~P2(x1251,a2)+~P2(x1251,f5(x1251,f4(a1,a2)))),
% 32.52/32.60 inference(scs_inference,[],[57,16,10])).
% 32.52/32.60 cnf(173,plain,
% 32.52/32.60 (P3(f4(a2,a1),f4(a3,a1))),
% 32.52/32.60 inference(scs_inference,[],[4,6,68,13,10])).
% 32.52/32.60 cnf(278,plain,
% 32.52/32.60 (~P2(x2781,a2)+~P2(f4(a2,a1),f5(x2781,f4(a2,a1)))),
% 32.52/32.60 inference(scs_inference,[],[64,15,10])).
% 32.52/32.60 cnf(330,plain,
% 32.52/32.60 (~P4(f5(f4(a2,a1),f4(a1,a3)),a2)+~P2(f4(a1,a3),f5(f4(a1,a3),f4(a1,a2)))),
% 32.52/32.60 inference(scs_inference,[],[64,74,73,81,125,19])).
% 32.52/32.60 cnf(331,plain,
% 32.52/32.60 (~P1(a2,f5(f4(a2,a1),f4(a1,a3)))+~P2(f4(a1,a3),f5(f4(a1,a3),f4(a1,a2)))),
% 32.52/32.60 inference(scs_inference,[],[7,330,12])).
% 32.52/32.60 cnf(334,plain,
% 32.52/32.60 (P2(f4(a1,a2),f5(f4(a2,a1),f4(a1,a3)))+~P4(f5(f4(a2,a1),f4(a1,a3)),a2)+~P2(f4(a2,a1),f5(f4(a2,a1),f4(a2,a1)))),
% 32.52/32.60 inference(scs_inference,[],[57,74,28,278,19])).
% 32.52/32.60 cnf(380,plain,
% 32.52/32.60 (P3(f4(a3,a2),f4(a2,a1))),
% 32.52/32.60 inference(scs_inference,[],[4,66,5,10,9])).
% 32.52/32.60 cnf(382,plain,
% 32.52/32.60 (P3(f4(a3,a1),f4(a2,a1))),
% 32.52/32.60 inference(scs_inference,[],[173,5,9])).
% 32.52/32.60 cnf(385,plain,
% 32.52/32.61 (P4(a3,f5(f4(a2,a1),f4(a2,a1)))+P2(f4(a1,a2),f5(f4(a2,a1),f4(a1,a3)))+~P4(f5(f4(a2,a1),f4(a1,a3)),a2)),
% 32.52/32.61 inference(scs_inference,[],[4,13,334])).
% 32.52/32.61 cnf(390,plain,
% 32.52/32.61 (~P1(a2,f5(f4(a2,a1),f4(a1,a3)))+P4(a3,f5(f4(a2,a1),f4(a2,a1)))+P2(f4(a1,a2),f5(f4(a2,a1),f4(a1,a3)))),
% 32.52/32.61 inference(scs_inference,[],[7,385,12])).
% 32.52/32.61 cnf(391,plain,
% 32.52/32.61 (P4(f5(f4(a2,a1),f4(a2,a1)),a3)+P2(f4(a1,a2),f5(f4(a2,a1),f4(a1,a3)))+~P1(a2,f5(f4(a2,a1),f4(a1,a3)))),
% 32.52/32.61 inference(scs_inference,[],[6,390,11])).
% 32.52/32.61 cnf(450,plain,
% 32.52/32.61 (P4(a1,f5(f4(a2,a1),f4(a1,a3)))+P4(f5(f4(a2,a1),f4(a2,a1)),a3)+P2(f4(a1,a2),f5(f4(a2,a1),f4(a1,a3)))),
% 32.52/32.61 inference(scs_inference,[],[25,12,391])).
% 32.52/32.61 cnf(475,plain,
% 32.52/32.61 (P4(f5(f4(a2,a1),f4(a2,a1)),a3)+P3(f4(a1,a2),f4(a1,a3))+P4(a1,f5(f4(a2,a1),f4(a1,a3)))),
% 32.52/32.61 inference(scs_inference,[],[73,450,10])).
% 32.52/32.61 cnf(479,plain,
% 32.52/32.61 (P4(f5(f4(a2,a1),f4(a2,a1)),a3)+P4(f5(f4(a2,a1),f4(a1,a3)),a1)+P3(f4(a1,a2),f4(a1,a3))),
% 32.52/32.61 inference(scs_inference,[],[6,475,11])).
% 32.52/32.61 cnf(682,plain,
% 32.52/32.61 (~P4(f5(f4(a2,a1),f4(a1,a3)),a1)),
% 32.52/32.61 inference(scs_inference,[],[74,73,60,65,81,19])).
% 32.52/32.61 cnf(685,plain,
% 32.52/32.61 (~P1(a1,f5(f4(a2,a1),f4(a1,a3)))),
% 32.52/32.61 inference(scs_inference,[],[74,73,60,65,81,7,19,479,12])).
% 32.52/32.61 cnf(706,plain,
% 32.52/32.61 (~P4(f5(f4(a2,a1),f4(a3,a2)),a2)),
% 32.52/32.61 inference(scs_inference,[],[685,25,83,64,82,58,380,682,56,14,13,19])).
% 32.52/32.61 cnf(709,plain,
% 32.52/32.61 (~P1(a2,f5(f4(a2,a1),f4(a3,a2)))),
% 32.52/32.61 inference(scs_inference,[],[685,25,83,64,82,58,7,380,682,56,14,13,19,331,12])).
% 32.52/32.61 cnf(725,plain,
% 32.52/32.61 (~P4(a2,f5(f4(a2,a1),f4(a3,a2)))),
% 32.52/32.61 inference(scs_inference,[],[1,64,83,709,82,380,56,14,19])).
% 32.52/32.61 cnf(729,plain,
% 32.52/32.61 (P2(f4(a3,a1),a2)),
% 32.52/32.61 inference(scs_inference,[],[22,57,64,58,60,706,382,13,19])).
% 32.52/32.61 cnf(740,plain,
% 32.52/32.61 ($false),
% 32.52/32.61 inference(scs_inference,[],[22,57,64,67,60,729,725,28,13,19]),
% 32.52/32.61 ['proof']).
% 32.52/32.61 % SZS output end Proof
% 32.52/32.61 % Total time :31.980000s
%------------------------------------------------------------------------------