TSTP Solution File: GEO194+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO194+1 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n021.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 : Wed Aug 30 22:43:32 EDT 2023
% Result : Theorem 0.67s 0.74s
% Output : CNFRefutation 0.67s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : GEO194+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Tue Aug 29 22:46:15 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.59 start to proof:theBenchmark
% 0.67/0.74 %-------------------------------------------
% 0.67/0.74 % File :CSE---1.6
% 0.67/0.74 % Problem :theBenchmark
% 0.67/0.74 % Transform :cnf
% 0.67/0.74 % Format :tptp:raw
% 0.67/0.74 % Command :java -jar mcs_scs.jar %d %s
% 0.67/0.74
% 0.67/0.74 % Result :Theorem 0.080000s
% 0.67/0.74 % Output :CNFRefutation 0.080000s
% 0.67/0.74 %-------------------------------------------
% 0.67/0.74 %------------------------------------------------------------------------------
% 0.67/0.74 % File : GEO194+1 : TPTP v8.1.2. Released v3.3.0.
% 0.67/0.74 % Domain : Geometry (Constructive)
% 0.67/0.74 % Problem : Corollary to symmetry of apartness
% 0.67/0.74 % Version : [vPl95] axioms : Especial.
% 0.67/0.74 % English : If the lines X, Y, and Z are pairwise convergent, and the
% 0.67/0.74 % intersection point of X and Y is apart from a line Z, then
% 0.67/0.74 % the intersection point of X and Z is apart from Y.
% 0.67/0.74
% 0.67/0.74 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.67/0.74 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.67/0.74 % Source : [ILTP]
% 0.67/0.74 % Names : Corollary 4.10.ii [vPl95]
% 0.67/0.74
% 0.67/0.74 % Status : Theorem
% 0.67/0.74 % Rating : 0.00 v6.4.0, 0.07 v6.3.0, 0.08 v6.2.0, 0.09 v6.1.0, 0.16 v6.0.0, 0.50 v5.5.0, 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
% 0.67/0.74 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 0.67/0.74 % Number of atoms : 40 ( 0 equ)
% 0.67/0.74 % Maximal formula atoms : 6 ( 2 avg)
% 0.67/0.74 % Number of connectives : 32 ( 7 ~; 9 |; 3 &)
% 0.67/0.74 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.67/0.74 % Maximal formula depth : 9 ( 5 avg)
% 0.67/0.74 % Maximal term depth : 2 ( 1 avg)
% 0.67/0.74 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.67/0.74 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.67/0.74 % Number of variables : 36 ( 36 !; 0 ?)
% 0.67/0.74 % SPC : FOF_THM_RFO_NEQ
% 0.67/0.74
% 0.67/0.74 % Comments : Definitions unfolded, hence Especial.
% 0.67/0.74 %------------------------------------------------------------------------------
% 0.67/0.74 include('Axioms/GEO006+0.ax').
% 0.67/0.74 %------------------------------------------------------------------------------
% 0.67/0.74 fof(con,conjecture,
% 0.67/0.74 ! [X,Y,Z] :
% 0.67/0.74 ( ( convergent_lines(X,Y)
% 0.67/0.74 & convergent_lines(Z,Y)
% 0.67/0.74 & convergent_lines(X,Z) )
% 0.67/0.74 => ( apart_point_and_line(intersection_point(X,Y),Z)
% 0.67/0.74 => apart_point_and_line(intersection_point(X,Z),Y) ) ) ).
% 0.67/0.74
% 0.67/0.74 %------------------------------------------------------------------------------
% 0.67/0.74 %-------------------------------------------
% 0.67/0.74 % Proof found
% 0.67/0.74 % SZS status Theorem for theBenchmark
% 0.67/0.74 % SZS output start Proof
% 0.67/0.75 %ClaNum:19(EqnAxiom:0)
% 0.67/0.75 %VarNum:74(SingletonVarNum:33)
% 0.67/0.75 %MaxLitNum:6
% 0.67/0.75 %MaxfuncDepth:1
% 0.67/0.75 %SharedTerms:10
% 0.67/0.75 %goalClause: 1 2 3 4 8
% 0.67/0.75 %singleGoalClaCount:5
% 0.67/0.75 [1]P1(a1,a2)
% 0.67/0.75 [2]P1(a1,a3)
% 0.67/0.75 [3]P1(a3,a2)
% 0.67/0.75 [4]P2(f4(a1,a2),a3)
% 0.67/0.75 [8]~P2(f4(a1,a3),a2)
% 0.67/0.75 [5]~P3(x51,x51)
% 0.67/0.75 [6]~P4(x61,x61)
% 0.67/0.75 [7]~P1(x71,x71)
% 0.67/0.75 [15]~P3(x151,x152)+~P2(x152,f5(x151,x152))
% 0.67/0.75 [16]~P3(x161,x162)+~P2(x161,f5(x161,x162))
% 0.67/0.75 [17]~P1(x171,x172)+~P2(f4(x171,x172),x172)
% 0.67/0.75 [18]~P1(x181,x182)+~P2(f4(x181,x182),x181)
% 0.67/0.75 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 0.67/0.75 [10]~P2(x101,x103)+P3(x101,x102)+P2(x102,x103)
% 0.67/0.75 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 0.67/0.75 [12]~P1(x123,x121)+P4(x121,x122)+P1(x123,x122)
% 0.67/0.75 [13]~P2(x133,x131)+P4(x131,x132)+P2(x133,x132)
% 0.67/0.75 [14]~P1(x143,x141)+P1(x141,x142)+P1(x143,x142)
% 0.67/0.75 [19]P2(x194,x193)+~P3(x194,x191)+~P4(x193,x192)+P2(x191,x192)+P2(x191,x193)+P2(x194,x192)
% 0.67/0.75 %EqnAxiom
% 0.67/0.75
% 0.67/0.75 %-------------------------------------------
% 0.67/0.75 cnf(21,plain,
% 0.67/0.75 (~P1(x211,x211)),
% 0.67/0.75 inference(rename_variables,[],[7])).
% 0.67/0.75 cnf(22,plain,
% 0.67/0.75 (P4(a2,a1)),
% 0.67/0.75 inference(scs_inference,[],[1,7,21,14,12])).
% 0.67/0.75 cnf(28,plain,
% 0.67/0.75 (~P2(f4(a1,a2),a1)),
% 0.67/0.75 inference(scs_inference,[],[1,6,7,21,14,12,11,18])).
% 0.67/0.75 cnf(30,plain,
% 0.67/0.75 (~P2(f4(a1,a2),a2)),
% 0.67/0.75 inference(scs_inference,[],[1,6,7,21,14,12,11,18,17])).
% 0.67/0.75 cnf(32,plain,
% 0.67/0.75 (P4(a3,a2)),
% 0.67/0.75 inference(scs_inference,[],[4,30,13])).
% 0.67/0.75 cnf(36,plain,
% 0.67/0.75 (~P3(f4(a1,a2),f4(a1,a3))),
% 0.67/0.75 inference(scs_inference,[],[2,8,4,30,28,22,13,19,18])).
% 0.67/0.75 cnf(94,plain,
% 0.67/0.75 (~P2(f4(a1,a3),a3)),
% 0.67/0.76 inference(scs_inference,[],[6,32,2,11,17])).
% 0.67/0.76 cnf(99,plain,
% 0.67/0.76 ($false),
% 0.67/0.76 inference(scs_inference,[],[94,36,4,10]),
% 0.67/0.76 ['proof']).
% 0.67/0.76 % SZS output end Proof
% 0.67/0.76 % Total time :0.080000s
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