%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO188+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 06:04:19 EDT 2024
% Result : Theorem 11.43s 11.67s
% Output : CNFRefutation 11.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO188+2 : TPTP v8.2.0. Released v3.3.0.
% 0.07/0.13 % 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 09:54:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 11.43/11.66 %-------------------------------------------
% 11.43/11.66 % File :CSE---1.7
% 11.43/11.66 % Problem :theBenchmark
% 11.43/11.66 % Transform :cnf
% 11.43/11.66 % Format :tptp:raw
% 11.43/11.66 % Command :java -jar mcs_scs.jar %d %s
% 11.43/11.66
% 11.43/11.66 % Result :Theorem 10.940000s
% 11.43/11.66 % Output :CNFRefutation 10.940000s
% 11.43/11.66 %-------------------------------------------
% 11.43/11.67 %------------------------------------------------------------------------------
% 11.43/11.67 % File : GEO188+2 : TPTP v8.2.0. Released v3.3.0.
% 11.43/11.67 % Domain : Geometry (Constructive)
% 11.43/11.67 % Problem : Collary to symmetry of incidence
% 11.43/11.67 % Version : [vPl95] axioms : Reduced > Especial.
% 11.43/11.67 % English : If X, Y, and Z are pairwise distinct, and Z is incident with
% 11.43/11.67 % the line connecting X and Y, then X is incident with the line
% 11.43/11.67 % connecting Z and Y.
% 11.43/11.67
% 11.43/11.67 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 11.43/11.67 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 11.43/11.67 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 11.43/11.67 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 11.43/11.67 % Source : [ILTP]
% 11.43/11.67 % Names :
% 11.43/11.67
% 11.43/11.67 % Status : Theorem
% 11.43/11.67 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.21 v4.0.0, 0.25 v3.7.0, 0.14 v3.5.0, 0.00 v3.3.0
% 11.43/11.67 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 11.43/11.67 % Number of atoms : 39 ( 0 equ)
% 11.43/11.67 % Maximal formula atoms : 6 ( 3 avg)
% 11.43/11.67 % Number of connectives : 31 ( 5 ~; 9 |; 5 &)
% 11.43/11.67 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 11.43/11.67 % Maximal formula depth : 9 ( 6 avg)
% 11.43/11.67 % Maximal term depth : 2 ( 1 avg)
% 11.43/11.67 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 11.43/11.67 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 11.43/11.67 % Number of variables : 33 ( 33 !; 0 ?)
% 11.43/11.67 % SPC : FOF_THM_RFO_NEQ
% 11.43/11.67
% 11.43/11.67 % Comments : Definitions unfolded, hence Especial.
% 11.43/11.67 %------------------------------------------------------------------------------
% 11.43/11.67 include('Axioms/GEO008+0.ax').
% 11.43/11.67 %------------------------------------------------------------------------------
% 11.43/11.67 fof(con,conjecture,
% 11.43/11.67 ! [X,Y,Z] :
% 11.43/11.67 ( ( distinct_points(X,Y)
% 11.43/11.67 & distinct_points(X,Z)
% 11.43/11.67 & distinct_points(Y,Z)
% 11.43/11.67 & ~ apart_point_and_line(Z,line_connecting(X,Y)) )
% 11.43/11.67 => ~ apart_point_and_line(X,line_connecting(Z,Y)) ) ).
% 11.43/11.67
% 11.43/11.67 %------------------------------------------------------------------------------
% 11.43/11.67 %-------------------------------------------
% 11.43/11.67 % Proof found
% 11.43/11.67 % SZS status Theorem for theBenchmark
% 11.43/11.67 % SZS output start Proof
% 11.43/11.67 %ClaNum:19(EqnAxiom:0)
% 11.43/11.67 %VarNum:80(SingletonVarNum:36)
% 11.43/11.67 %MaxLitNum:6
% 11.43/11.67 %MaxfuncDepth:1
% 11.43/11.67 %SharedTerms:10
% 11.43/11.67 %goalClause: 1 2 3 4 8
% 11.43/11.67 %singleGoalClaCount:5
% 11.43/11.67 [1]P1(a1,a2)
% 11.43/11.67 [2]P1(a1,a3)
% 11.43/11.67 [3]P1(a2,a3)
% 11.43/11.67 [4]P2(a1,f4(a3,a2))
% 11.43/11.67 [8]~P2(a3,f4(a1,a2))
% 11.43/11.67 [5]~P1(x51,x51)
% 11.43/11.67 [6]~P3(x61,x61)
% 11.43/11.67 [7]~P4(x71,x71)
% 11.43/11.67 [9]~P4(x91,x92)+P3(x91,x92)
% 11.43/11.67 [10]~P1(x103,x101)+P1(x101,x102)+P1(x103,x102)
% 11.43/11.67 [11]~P2(x111,x113)+P1(x111,x112)+P2(x112,x113)
% 11.43/11.67 [12]~P3(x123,x121)+P3(x121,x122)+P3(x123,x122)
% 11.43/11.67 [13]~P2(x133,x131)+P3(x131,x132)+P2(x133,x132)
% 11.43/11.67 [14]~P4(x143,x141)+P4(x141,x142)+P4(x143,x142)
% 11.43/11.67 [15]~P4(x152,x153)+~P2(x151,x153)+P1(x151,f5(x152,x153))
% 11.43/11.67 [16]~P4(x162,x163)+~P2(x161,x162)+P1(x161,f5(x162,x163))
% 11.43/11.67 [17]P1(x171,x172)+~P1(x173,x172)+~P2(x171,f4(x173,x172))
% 11.43/11.67 [18]P1(x181,x182)+~P1(x182,x183)+~P2(x181,f4(x182,x183))
% 11.43/11.67 [19]P2(x194,x193)+~P1(x194,x191)+~P3(x193,x192)+P2(x191,x192)+P2(x191,x193)+P2(x194,x192)
% 11.43/11.67 %EqnAxiom
% 11.43/11.67
% 11.43/11.67 %-------------------------------------------
% 11.43/11.68 cnf(34,plain,
% 11.43/11.68 (P1(a3,a2)),
% 11.43/11.68 inference(scs_inference,[],[3,5,10])).
% 11.43/11.68 cnf(62,plain,
% 11.43/11.68 (~P2(a3,f4(a2,a3))),
% 11.43/11.68 inference(scs_inference,[],[3,5,10,17])).
% 11.43/11.68 cnf(69,plain,
% 11.43/11.68 (~P2(a1,f4(a3,a1))),
% 11.43/11.68 inference(scs_inference,[],[2,5,10,17])).
% 11.43/11.68 cnf(70,plain,
% 11.43/11.68 (P3(f4(a3,a2),f4(a3,a1))),
% 11.43/11.68 inference(scs_inference,[],[4,69,13])).
% 11.43/11.68 cnf(72,plain,
% 11.43/11.68 (~P2(a1,f4(a1,a2))),
% 11.43/11.68 inference(scs_inference,[],[5,1,10,18])).
% 11.43/11.68 cnf(76,plain,
% 11.43/11.68 (P3(f4(a3,a2),f4(a1,a2))),
% 11.43/11.68 inference(scs_inference,[],[4,70,72,6,12,13])).
% 11.43/11.68 cnf(79,plain,
% 11.43/11.68 (P3(f4(a1,a2),f4(a3,a2))),
% 11.43/11.68 inference(scs_inference,[],[76,6,12])).
% 11.43/11.68 cnf(85,plain,
% 11.43/11.68 (~P2(a2,f4(a1,a2))),
% 11.43/11.68 inference(scs_inference,[],[5,1,10,17])).
% 11.43/11.68 cnf(126,plain,
% 11.43/11.68 (P1(a3,x1261)+~P2(a2,f4(a2,x1261))),
% 11.43/11.68 inference(scs_inference,[],[5,3,18,10])).
% 11.43/11.68 cnf(127,plain,
% 11.43/11.68 (~P2(x1271,f4(a2,a3))+P1(x1271,a2)),
% 11.43/11.68 inference(scs_inference,[],[5,126,11])).
% 11.43/11.68 cnf(158,plain,
% 11.43/11.68 (~P2(a2,f4(a3,a2))),
% 11.43/11.68 inference(scs_inference,[],[5,34,10,17])).
% 11.43/11.68 cnf(188,plain,
% 11.43/11.68 (~P2(a3,f4(a3,a2))),
% 11.43/11.68 inference(scs_inference,[],[5,34,10,18])).
% 11.43/11.68 cnf(248,plain,
% 11.43/11.68 (~P3(f4(a1,a2),f4(a2,a3))),
% 11.43/11.68 inference(scs_inference,[],[5,3,62,8,85,127,19])).
% 11.43/11.68 cnf(253,plain,
% 11.43/11.68 ($false),
% 11.43/11.68 inference(scs_inference,[],[8,248,76,188,158,34,85,79,9,12,19]),
% 11.43/11.68 ['proof']).
% 11.43/11.68 % SZS output end Proof
% 11.43/11.68 % Total time :10.940000s
%------------------------------------------------------------------------------