%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO188+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 : n001.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 1.02s 1.10s
% Output : CNFRefutation 1.02s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO188+1 : 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
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jun 21 09:22:09 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.52/0.57 start to proof:theBenchmark
% 1.02/1.10 %-------------------------------------------
% 1.02/1.10 % File :CSE---1.7
% 1.02/1.10 % Problem :theBenchmark
% 1.02/1.10 % Transform :cnf
% 1.02/1.10 % Format :tptp:raw
% 1.02/1.10 % Command :java -jar mcs_scs.jar %d %s
% 1.02/1.10
% 1.02/1.10 % Result :Theorem 0.490000s
% 1.02/1.10 % Output :CNFRefutation 0.490000s
% 1.02/1.10 %-------------------------------------------
% 1.02/1.10 %------------------------------------------------------------------------------
% 1.02/1.10 % File : GEO188+1 : TPTP v8.2.0. Released v3.3.0.
% 1.02/1.10 % Domain : Geometry (Constructive)
% 1.02/1.10 % Problem : Collary to symmetry of incidence
% 1.02/1.10 % Version : [vPl95] axioms : Especial.
% 1.02/1.10 % English : If X, Y, and Z are pairwise distinct, and Z is incident with
% 1.02/1.10 % the line connecting X and Y, then X is incident with the line
% 1.02/1.10 % connecting Z and Y.
% 1.02/1.10
% 1.02/1.10 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 1.02/1.10 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 1.02/1.10 % Source : [ILTP]
% 1.02/1.10 % Names : Corollary 4.7.i [vPl95]
% 1.02/1.10
% 1.02/1.10 % Status : Theorem
% 1.02/1.10 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.17 v5.3.0, 0.22 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.26 v4.0.0, 0.25 v3.7.0, 0.29 v3.5.0, 0.00 v3.3.0
% 1.02/1.10 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 1.02/1.10 % Number of atoms : 40 ( 0 equ)
% 1.02/1.10 % Maximal formula atoms : 6 ( 2 avg)
% 1.02/1.10 % Number of connectives : 34 ( 9 ~; 9 |; 4 &)
% 1.02/1.10 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 1.02/1.10 % Maximal formula depth : 9 ( 6 avg)
% 1.02/1.10 % Maximal term depth : 2 ( 1 avg)
% 1.02/1.10 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 1.02/1.10 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 1.02/1.10 % Number of variables : 36 ( 36 !; 0 ?)
% 1.02/1.10 % SPC : FOF_THM_RFO_NEQ
% 1.02/1.10
% 1.02/1.10 % Comments : Definitions unfolded, hence Especial.
% 1.02/1.10 %------------------------------------------------------------------------------
% 1.02/1.10 include('Axioms/GEO006+0.ax').
% 1.02/1.10 %------------------------------------------------------------------------------
% 1.02/1.10 fof(con,conjecture,
% 1.02/1.10 ! [X,Y,Z] :
% 1.02/1.10 ( ( distinct_points(X,Y)
% 1.02/1.10 & distinct_points(X,Z)
% 1.02/1.10 & distinct_points(Y,Z)
% 1.02/1.10 & ~ apart_point_and_line(Z,line_connecting(X,Y)) )
% 1.02/1.10 => ~ apart_point_and_line(X,line_connecting(Z,Y)) ) ).
% 1.02/1.10
% 1.02/1.10 %------------------------------------------------------------------------------
% 1.02/1.10 %-------------------------------------------
% 1.02/1.10 % Proof found
% 1.02/1.10 % SZS status Theorem for theBenchmark
% 1.02/1.10 % SZS output start Proof
% 1.02/1.10 %ClaNum:19(EqnAxiom:0)
% 1.02/1.10 %VarNum:74(SingletonVarNum:33)
% 1.02/1.10 %MaxLitNum:6
% 1.02/1.10 %MaxfuncDepth:1
% 1.02/1.10 %SharedTerms:10
% 1.02/1.10 %goalClause: 1 2 3 4 8
% 1.02/1.10 %singleGoalClaCount:5
% 1.02/1.10 [1]P1(a1,a2)
% 1.02/1.10 [2]P1(a1,a3)
% 1.02/1.10 [3]P1(a2,a3)
% 1.02/1.10 [4]P2(a1,f4(a3,a2))
% 1.02/1.10 [8]~P2(a3,f4(a1,a2))
% 1.02/1.10 [5]~P1(x51,x51)
% 1.02/1.10 [6]~P3(x61,x61)
% 1.02/1.10 [7]~P4(x71,x71)
% 1.02/1.10 [15]~P1(x151,x152)+~P2(x152,f4(x151,x152))
% 1.02/1.10 [16]~P1(x161,x162)+~P2(x161,f4(x161,x162))
% 1.02/1.10 [17]~P4(x171,x172)+~P2(f5(x171,x172),x172)
% 1.02/1.10 [18]~P4(x181,x182)+~P2(f5(x181,x182),x181)
% 1.02/1.10 [9]~P1(x93,x91)+P1(x91,x92)+P1(x93,x92)
% 1.02/1.10 [10]~P2(x101,x103)+P1(x101,x102)+P2(x102,x103)
% 1.02/1.10 [11]~P3(x113,x111)+P3(x111,x112)+P3(x113,x112)
% 1.02/1.10 [12]~P4(x123,x121)+P3(x121,x122)+P4(x123,x122)
% 1.02/1.10 [13]~P2(x133,x131)+P3(x131,x132)+P2(x133,x132)
% 1.02/1.10 [14]~P4(x143,x141)+P4(x141,x142)+P4(x143,x142)
% 1.02/1.10 [19]P2(x194,x193)+~P1(x194,x191)+~P3(x193,x192)+P2(x191,x192)+P2(x191,x193)+P2(x194,x192)
% 1.02/1.10 %EqnAxiom
% 1.02/1.10
% 1.02/1.10 %-------------------------------------------
% 1.02/1.11 cnf(38,plain,
% 1.02/1.11 (~P2(a2,f4(a1,a2))),
% 1.02/1.11 inference(scs_inference,[],[1,5,15,10])).
% 1.02/1.11 cnf(43,plain,
% 1.02/1.11 (~P2(a2,f4(a3,a2))),
% 1.02/1.11 inference(scs_inference,[],[5,3,15,9])).
% 1.02/1.11 cnf(49,plain,
% 1.02/1.11 (~P2(a3,f4(a3,a2))),
% 1.02/1.11 inference(scs_inference,[],[5,3,16,9])).
% 1.02/1.11 cnf(50,plain,
% 1.02/1.11 (P3(f4(a3,a2),f4(a1,a2))),
% 1.02/1.11 inference(scs_inference,[],[1,4,16,13])).
% 1.02/1.11 cnf(87,plain,
% 1.02/1.11 ($false),
% 1.02/1.11 inference(scs_inference,[],[3,8,49,43,50,38,19]),
% 1.02/1.11 ['proof']).
% 1.02/1.11 % SZS output end Proof
% 1.02/1.11 % Total time :0.490000s
%------------------------------------------------------------------------------