%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO195+1 : TPTP v8.2.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 06:04:24 EDT 2024
% Result : Theorem 31.68s 32.51s
% Output : CNFRefutation 31.79s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GEO195+1 : TPTP v8.2.0. Released v3.3.0.
% 0.10/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n017.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 08:28:54 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.17/0.56 start to proof:theBenchmark
% 31.68/32.51 %-------------------------------------------
% 31.68/32.51 % File :CSE---1.7
% 31.68/32.51 % Problem :theBenchmark
% 31.68/32.51 % Transform :cnf
% 31.68/32.51 % Format :tptp:raw
% 31.68/32.51 % Command :java -jar mcs_scs.jar %d %s
% 31.68/32.51
% 31.68/32.51 % Result :Theorem 31.230000s
% 31.68/32.51 % Output :CNFRefutation 31.230000s
% 31.68/32.51 %-------------------------------------------
% 31.68/32.51 %------------------------------------------------------------------------------
% 31.68/32.51 % File : GEO195+1 : TPTP v8.2.0. Released v3.3.0.
% 31.68/32.51 % Domain : Geometry (Constructive)
% 31.68/32.51 % Problem : Corollary to symmetry of apartness
% 31.68/32.51 % Version : [vPl95] axioms : Especial.
% 31.68/32.51 % English : If the lines X, Y, and Z are pairwise convergent, and the
% 31.68/32.51 % intersection point of X and Y is apart from a line Z, then
% 31.68/32.51 % the intersection point of Y and X is apart from Z.
% 31.68/32.51
% 31.68/32.51 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 31.68/32.51 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 31.68/32.51 % Source : [ILTP]
% 31.68/32.51 % Names : Corollary 4.10.iii [vPl95]
% 31.68/32.51
% 31.68/32.51 % Status : Theorem
% 31.68/32.51 % Rating : 0.00 v6.1.0, 0.12 v6.0.0, 0.50 v5.5.0, 0.29 v5.4.0, 0.30 v5.3.0, 0.35 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
% 31.68/32.51 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 31.68/32.51 % Number of atoms : 40 ( 0 equ)
% 31.68/32.51 % Maximal formula atoms : 6 ( 2 avg)
% 31.68/32.51 % Number of connectives : 32 ( 7 ~; 9 |; 3 &)
% 31.68/32.51 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 31.68/32.51 % Maximal formula depth : 9 ( 5 avg)
% 31.68/32.51 % Maximal term depth : 2 ( 1 avg)
% 31.68/32.51 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 31.68/32.51 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 31.68/32.51 % Number of variables : 36 ( 36 !; 0 ?)
% 31.68/32.51 % SPC : FOF_THM_RFO_NEQ
% 31.68/32.51
% 31.68/32.51 % Comments : Definitions unfolded, hence Especial.
% 31.68/32.51 %------------------------------------------------------------------------------
% 31.68/32.51 include('Axioms/GEO006+0.ax').
% 31.68/32.51 %------------------------------------------------------------------------------
% 31.68/32.51 fof(con,conjecture,
% 31.68/32.51 ! [X,Y,Z] :
% 31.68/32.51 ( ( convergent_lines(X,Y)
% 31.68/32.51 & convergent_lines(Z,Y)
% 31.68/32.51 & convergent_lines(X,Z) )
% 31.68/32.51 => ( apart_point_and_line(intersection_point(X,Y),Z)
% 31.68/32.51 => apart_point_and_line(intersection_point(Y,X),Z) ) ) ).
% 31.68/32.51
% 31.68/32.51 %------------------------------------------------------------------------------
% 31.68/32.51 %-------------------------------------------
% 31.68/32.51 % Proof found
% 31.68/32.51 % SZS status Theorem for theBenchmark
% 31.68/32.51 % SZS output start Proof
% 31.79/32.51 %ClaNum:19(EqnAxiom:0)
% 31.79/32.51 %VarNum:74(SingletonVarNum:33)
% 31.79/32.51 %MaxLitNum:6
% 31.79/32.51 %MaxfuncDepth:1
% 31.79/32.51 %SharedTerms:10
% 31.79/32.51 %goalClause: 1 2 3 4 8
% 31.79/32.51 %singleGoalClaCount:5
% 31.79/32.51 [1]P1(a1,a2)
% 31.79/32.51 [2]P1(a1,a3)
% 31.79/32.51 [3]P1(a3,a2)
% 31.79/32.51 [4]P2(f4(a1,a2),a3)
% 31.79/32.51 [8]~P2(f4(a2,a1),a3)
% 31.79/32.51 [5]~P3(x51,x51)
% 31.79/32.51 [6]~P4(x61,x61)
% 31.79/32.51 [7]~P1(x71,x71)
% 31.79/32.51 [15]~P3(x151,x152)+~P2(x152,f5(x151,x152))
% 31.79/32.51 [16]~P3(x161,x162)+~P2(x161,f5(x161,x162))
% 31.79/32.51 [17]~P1(x171,x172)+~P2(f4(x171,x172),x172)
% 31.79/32.51 [18]~P1(x181,x182)+~P2(f4(x181,x182),x181)
% 31.79/32.51 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 31.79/32.51 [10]~P2(x101,x103)+P3(x101,x102)+P2(x102,x103)
% 31.79/32.51 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 31.79/32.51 [12]~P1(x123,x121)+P4(x121,x122)+P1(x123,x122)
% 31.79/32.51 [13]~P2(x133,x131)+P4(x131,x132)+P2(x133,x132)
% 31.79/32.51 [14]~P1(x143,x141)+P1(x141,x142)+P1(x143,x142)
% 31.79/32.51 [19]P2(x194,x193)+~P3(x194,x191)+~P4(x193,x192)+P2(x191,x192)+P2(x191,x193)+P2(x194,x192)
% 31.79/32.51 %EqnAxiom
% 31.79/32.51
% 31.79/32.51 %-------------------------------------------
% 31.79/32.52 cnf(23,plain,
% 31.79/32.52 (~P1(x231,x231)),
% 31.79/32.52 inference(rename_variables,[],[7])).
% 31.79/32.52 cnf(28,plain,
% 31.79/32.52 (P3(f4(a2,a1),f4(a1,a2))),
% 31.79/32.52 inference(scs_inference,[],[1,4,8,5,7,23,10,12,14,9])).
% 31.79/32.52 cnf(31,plain,
% 31.79/32.52 (P4(a1,a2)),
% 31.79/32.52 inference(scs_inference,[],[1,4,8,5,6,7,23,10,12,14,9,11])).
% 31.79/32.52 cnf(56,plain,
% 31.79/32.52 (~P2(f4(a3,a2),a2)),
% 31.79/32.52 inference(scs_inference,[],[3,6,17,13])).
% 31.79/32.52 cnf(57,plain,
% 31.79/32.52 (~P2(f4(a1,a2),a2)),
% 31.79/32.52 inference(scs_inference,[],[1,6,17,12])).
% 31.79/32.52 cnf(60,plain,
% 31.79/32.52 (~P2(f4(a2,a1),a1)),
% 31.79/32.52 inference(scs_inference,[],[7,1,17,14])).
% 31.79/32.52 cnf(62,plain,
% 31.79/32.52 (~P2(f4(a3,a2),a3)),
% 31.79/32.52 inference(scs_inference,[],[3,6,18,12])).
% 31.79/32.52 cnf(63,plain,
% 31.79/32.52 (~P2(f4(a2,a1),a2)),
% 31.79/32.52 inference(scs_inference,[],[7,1,18,14])).
% 31.79/32.52 cnf(76,plain,
% 31.79/32.52 (P3(f4(a1,a2),f4(a3,a2))),
% 31.79/32.52 inference(scs_inference,[],[4,3,10,18])).
% 31.79/32.52 cnf(77,plain,
% 31.79/32.52 (~P2(f4(a3,a2),f5(f4(a1,a2),f4(a3,a2)))),
% 31.79/32.52 inference(scs_inference,[],[5,76,10,15])).
% 31.79/32.52 cnf(81,plain,
% 31.79/32.52 (~P2(f4(a1,a2),f5(f4(a1,a2),f4(a3,a2)))),
% 31.79/32.52 inference(scs_inference,[],[5,76,10,16])).
% 31.79/32.52 cnf(84,plain,
% 31.79/32.52 (~P2(f4(a1,a2),a1)),
% 31.79/32.52 inference(scs_inference,[],[1,6,12,18])).
% 31.79/32.52 cnf(326,plain,
% 31.79/32.52 (P3(f4(a3,a2),f4(a1,a2))),
% 31.79/32.52 inference(scs_inference,[],[62,4,5,10,9])).
% 31.79/32.52 cnf(412,plain,
% 31.79/32.52 (~P4(f5(f4(a1,a2),f4(a3,a2)),a2)),
% 31.79/32.52 inference(scs_inference,[],[77,81,57,56,326,19])).
% 31.79/32.52 cnf(422,plain,
% 31.79/32.52 ($false),
% 31.79/32.52 inference(scs_inference,[],[63,84,60,57,412,31,28,7,12,13,19]),
% 31.79/32.52 ['proof']).
% 31.79/32.52 % SZS output end Proof
% 31.79/32.52 % Total time :31.230000s
%------------------------------------------------------------------------------