%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO198+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 06:04:26 EDT 2024
% Result : Theorem 43.41s 43.46s
% Output : CNFRefutation 43.41s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO198+2 : TPTP v8.2.0. Released v3.3.0.
% 0.06/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n028.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 21 08:43:24 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.18/0.50 start to proof:theBenchmark
% 43.41/43.45 %-------------------------------------------
% 43.41/43.45 % File :CSE---1.7
% 43.41/43.45 % Problem :theBenchmark
% 43.41/43.45 % Transform :cnf
% 43.41/43.45 % Format :tptp:raw
% 43.41/43.45 % Command :java -jar mcs_scs.jar %d %s
% 43.41/43.45
% 43.41/43.45 % Result :Theorem 42.900000s
% 43.41/43.45 % Output :CNFRefutation 42.900000s
% 43.41/43.45 %-------------------------------------------
% 43.41/43.46 %------------------------------------------------------------------------------
% 43.41/43.46 % File : GEO198+2 : TPTP v8.2.0. Released v3.3.0.
% 43.41/43.46 % Domain : Geometry (Constructive)
% 43.41/43.46 % Problem : Corollary to symmetry of incidence
% 43.41/43.46 % Version : [vPl95] axioms : Reduced > Especial.
% 43.41/43.46 % English : If the lines X, Y, and Z are pairwise convergent, and the
% 43.41/43.46 % intersection point of X and Y is incident with Z, then the
% 43.41/43.46 % intersection point of X and Z is incident with Y.
% 43.41/43.46
% 43.41/43.46 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 43.41/43.46 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 43.41/43.46 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 43.41/43.46 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 43.41/43.46 % Source : [ILTP]
% 43.41/43.46 % Names :
% 43.41/43.46
% 43.41/43.46 % Status : Theorem
% 43.41/43.46 % 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
% 43.41/43.46 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 43.41/43.46 % Number of atoms : 39 ( 0 equ)
% 43.41/43.46 % Maximal formula atoms : 6 ( 3 avg)
% 43.41/43.46 % Number of connectives : 31 ( 5 ~; 9 |; 5 &)
% 43.41/43.46 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 43.41/43.46 % Maximal formula depth : 9 ( 6 avg)
% 43.41/43.46 % Maximal term depth : 2 ( 1 avg)
% 43.41/43.46 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 43.41/43.46 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 43.41/43.46 % Number of variables : 33 ( 33 !; 0 ?)
% 43.41/43.46 % SPC : FOF_THM_RFO_NEQ
% 43.41/43.46
% 43.41/43.46 % Comments : Definitions unfolded, hence Especial.
% 43.41/43.46 %------------------------------------------------------------------------------
% 43.41/43.46 include('Axioms/GEO008+0.ax').
% 43.41/43.46 %------------------------------------------------------------------------------
% 43.41/43.46 fof(con,conjecture,
% 43.41/43.46 ! [X,Y,Z] :
% 43.41/43.46 ( ( convergent_lines(X,Y)
% 43.41/43.46 & convergent_lines(Z,Y)
% 43.41/43.46 & convergent_lines(X,Z)
% 43.41/43.46 & ~ apart_point_and_line(intersection_point(X,Y),Z) )
% 43.41/43.46 => ~ apart_point_and_line(intersection_point(X,Z),Y) ) ).
% 43.41/43.46
% 43.41/43.46 %------------------------------------------------------------------------------
% 43.41/43.46 %-------------------------------------------
% 43.41/43.46 % Proof found
% 43.41/43.46 % SZS status Theorem for theBenchmark
% 43.41/43.46 % SZS output start Proof
% 43.41/43.46 %ClaNum:19(EqnAxiom:0)
% 43.41/43.46 %VarNum:80(SingletonVarNum:36)
% 43.41/43.46 %MaxLitNum:6
% 43.41/43.46 %MaxfuncDepth:1
% 43.41/43.46 %SharedTerms:10
% 43.41/43.46 %goalClause: 1 2 3 4 8
% 43.41/43.46 %singleGoalClaCount:5
% 43.41/43.46 [1]P1(a1,a2)
% 43.41/43.46 [2]P1(a1,a3)
% 43.41/43.46 [3]P1(a3,a2)
% 43.41/43.46 [4]P2(f4(a1,a3),a2)
% 43.41/43.46 [8]~P2(f4(a1,a2),a3)
% 43.41/43.46 [5]~P3(x51,x51)
% 43.41/43.46 [6]~P4(x61,x61)
% 43.41/43.46 [7]~P1(x71,x71)
% 43.41/43.46 [9]~P1(x91,x92)+P4(x91,x92)
% 43.41/43.46 [10]~P3(x103,x101)+P3(x101,x102)+P3(x103,x102)
% 43.41/43.46 [11]~P2(x111,x113)+P3(x111,x112)+P2(x112,x113)
% 43.41/43.46 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 43.41/43.46 [13]~P2(x133,x131)+P4(x131,x132)+P2(x133,x132)
% 43.41/43.46 [14]~P1(x143,x141)+P1(x141,x142)+P1(x143,x142)
% 43.41/43.46 [15]~P1(x152,x153)+~P2(x151,x153)+P3(x151,f4(x152,x153))
% 43.41/43.46 [16]~P1(x162,x163)+~P2(x161,x162)+P3(x161,f4(x162,x163))
% 43.41/43.46 [17]P3(x171,x172)+~P3(x173,x172)+~P2(x171,f5(x173,x172))
% 43.41/43.46 [18]P3(x181,x182)+~P3(x182,x183)+~P2(x181,f5(x182,x183))
% 43.41/43.46 [19]P2(x194,x193)+~P3(x194,x191)+~P4(x193,x192)+P2(x191,x192)+P2(x191,x193)+P2(x194,x192)
% 43.41/43.46 %EqnAxiom
% 43.41/43.46
% 43.41/43.46 %-------------------------------------------
% 43.41/43.47 cnf(20,plain,
% 43.41/43.47 (P1(a2,a1)),
% 43.41/43.47 inference(scs_inference,[],[1,7,14])).
% 43.41/43.47 cnf(24,plain,
% 43.41/43.47 (~P3(x241,x241)),
% 43.41/43.47 inference(rename_variables,[],[5])).
% 43.41/43.47 cnf(26,plain,
% 43.41/43.47 (~P2(f4(a1,a2),a1)),
% 43.41/43.47 inference(scs_inference,[],[1,5,24,7,14,15,16])).
% 43.41/43.47 cnf(27,plain,
% 43.41/43.47 (~P3(x271,x271)),
% 43.41/43.47 inference(rename_variables,[],[5])).
% 43.41/43.47 cnf(31,plain,
% 43.41/43.47 (P3(f4(a1,a2),f4(a1,a3))),
% 43.41/43.47 inference(scs_inference,[],[1,4,5,24,27,7,14,15,16,11,10])).
% 43.41/43.47 cnf(34,plain,
% 43.41/43.47 (P4(a3,a1)),
% 43.41/43.47 inference(scs_inference,[],[2,6,9,12])).
% 43.41/43.47 cnf(38,plain,
% 43.41/43.47 (~P2(f4(a1,a3),a1)),
% 43.41/43.47 inference(scs_inference,[],[2,34,5,6,12,16])).
% 43.41/43.47 cnf(39,plain,
% 43.41/43.47 (~P3(x391,x391)),
% 43.41/43.47 inference(rename_variables,[],[5])).
% 43.41/43.47 cnf(44,plain,
% 43.41/43.47 (~P2(f4(a1,a3),a3)),
% 43.41/43.47 inference(scs_inference,[],[2,34,5,39,6,7,12,16,14,15])).
% 43.41/43.47 cnf(55,plain,
% 43.41/43.47 (~P2(f4(a1,a2),f5(f4(a1,a2),f4(a1,a3)))),
% 43.41/43.47 inference(scs_inference,[],[31,5,18,10])).
% 43.41/43.47 cnf(60,plain,
% 43.41/43.47 (P1(a2,a3)),
% 43.41/43.47 inference(scs_inference,[],[3,7,14])).
% 43.41/43.47 cnf(90,plain,
% 43.41/43.47 (~P2(f4(a1,a3),f5(f4(a1,a2),f4(a1,a3)))),
% 43.41/43.47 inference(scs_inference,[],[31,5,10,17])).
% 43.41/43.47 cnf(99,plain,
% 43.41/43.47 (P3(f4(a1,a3),f4(a2,a3))),
% 43.41/43.47 inference(scs_inference,[],[4,5,60,11,16])).
% 43.41/43.47 cnf(100,plain,
% 43.41/43.47 (P3(f4(a2,a3),f4(a1,a3))),
% 43.41/43.47 inference(scs_inference,[],[99,5,10])).
% 43.41/43.47 cnf(103,plain,
% 43.41/43.47 (~P2(f4(a1,a3),f5(f4(a2,a3),f4(a1,a3)))),
% 43.41/43.47 inference(scs_inference,[],[5,100,11,17])).
% 43.41/43.47 cnf(109,plain,
% 43.41/43.47 (P3(f4(a1,a3),f4(a2,a1))),
% 43.41/43.47 inference(scs_inference,[],[4,5,20,11,16])).
% 43.41/43.47 cnf(110,plain,
% 43.41/43.47 (P3(f4(a2,a1),f4(a1,a3))),
% 43.41/43.47 inference(scs_inference,[],[109,5,10])).
% 43.41/43.47 cnf(119,plain,
% 43.41/43.47 (~P2(f4(a2,a3),f5(f4(a2,a3),f4(a1,a3)))),
% 43.41/43.47 inference(scs_inference,[],[5,100,11,18])).
% 43.41/43.47 cnf(128,plain,
% 43.41/43.47 (~P2(f4(a2,a3),a3)),
% 43.41/43.47 inference(scs_inference,[],[7,3,5,14,15])).
% 43.41/43.47 cnf(130,plain,
% 43.41/43.47 (~P2(f4(a2,a1),a1)),
% 43.41/43.47 inference(scs_inference,[],[20,5,15])).
% 43.41/43.47 cnf(1030,plain,
% 43.41/43.47 (~P4(a3,f5(f4(a1,a2),f4(a1,a3)))),
% 43.41/43.47 inference(scs_inference,[],[55,8,44,90,31,19])).
% 43.41/43.47 cnf(1033,plain,
% 43.41/43.47 (P4(a1,f5(f4(a1,a2),f4(a1,a3)))),
% 43.41/43.47 inference(scs_inference,[],[1030,34,12])).
% 43.41/43.47 cnf(1035,plain,
% 43.41/43.47 (P2(f4(a2,a1),a3)),
% 43.41/43.47 inference(scs_inference,[],[130,44,1030,38,34,110,12,19])).
% 43.41/43.47 cnf(1062,plain,
% 43.41/43.47 (~P4(a3,f5(f4(a2,a3),f4(a1,a3)))),
% 43.41/43.47 inference(scs_inference,[],[128,44,100,1035,1033,1030,103,119,6,12,13,19])).
% 43.41/43.47 cnf(1079,plain,
% 43.41/43.47 ($false),
% 43.41/43.47 inference(scs_inference,[],[8,44,1035,31,1062,26,38,34,12,13,19]),
% 43.41/43.47 ['proof']).
% 43.41/43.47 % SZS output end Proof
% 43.41/43.47 % Total time :42.900000s
%------------------------------------------------------------------------------