%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO177+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 06:04:12 EDT 2024
% Result : Theorem 11.37s 11.44s
% Output : CNFRefutation 11.37s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO177+1 : TPTP v8.2.0. Released v3.3.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n001.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 07:25:54 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 11.37/11.43 %-------------------------------------------
% 11.37/11.43 % File :CSE---1.7
% 11.37/11.43 % Problem :theBenchmark
% 11.37/11.43 % Transform :cnf
% 11.37/11.43 % Format :tptp:raw
% 11.37/11.43 % Command :java -jar mcs_scs.jar %d %s
% 11.37/11.43
% 11.37/11.43 % Result :Theorem 10.830000s
% 11.37/11.43 % Output :CNFRefutation 10.830000s
% 11.37/11.43 %-------------------------------------------
% 11.37/11.44 %------------------------------------------------------------------------------
% 11.37/11.44 % File : GEO177+1 : TPTP v8.2.0. Released v3.3.0.
% 11.37/11.44 % Domain : Geometry (Constructive)
% 11.37/11.44 % Problem : Symmetry of apartness
% 11.37/11.44 % Version : [vPl95] axioms : Especial.
% 11.37/11.44 % English : If the points X and Y are distinct and U and V are distinct,
% 11.37/11.44 % and X or Y is apart from the line connecting U and V, then
% 11.37/11.44 % U or V are apart from the line connecting X and Y.
% 11.37/11.44
% 11.37/11.44 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 11.37/11.44 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 11.37/11.44 % Source : [ILTP]
% 11.37/11.44 % Names : Theorem 4.2 [vPl95]
% 11.37/11.44
% 11.37/11.44 % Status : Theorem
% 11.37/11.44 % Rating : 0.00 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.25 v7.0.0, 0.00 v6.1.0, 0.08 v6.0.0, 0.50 v5.5.0, 0.25 v5.4.0, 0.26 v5.3.0, 0.35 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, 0.14 v3.5.0, 0.00 v3.3.0
% 11.37/11.44 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 11.37/11.44 % Number of atoms : 41 ( 0 equ)
% 11.37/11.44 % Maximal formula atoms : 6 ( 2 avg)
% 11.37/11.44 % Number of connectives : 33 ( 7 ~; 11 |; 2 &)
% 11.37/11.44 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 11.37/11.44 % Maximal formula depth : 9 ( 5 avg)
% 11.37/11.44 % Maximal term depth : 2 ( 1 avg)
% 11.37/11.44 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 11.37/11.44 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 11.37/11.44 % Number of variables : 37 ( 37 !; 0 ?)
% 11.37/11.44 % SPC : FOF_THM_RFO_NEQ
% 11.37/11.44
% 11.37/11.44 % Comments : Definitions unfolded, hence Especial.
% 11.37/11.44 %------------------------------------------------------------------------------
% 11.37/11.44 include('Axioms/GEO006+0.ax').
% 11.37/11.44 %------------------------------------------------------------------------------
% 11.37/11.44 fof(con,conjecture,
% 11.37/11.44 ! [X,Y,U,V] :
% 11.37/11.44 ( ( distinct_points(X,Y)
% 11.37/11.44 & distinct_points(U,V) )
% 11.37/11.44 => ( ( apart_point_and_line(X,line_connecting(U,V))
% 11.37/11.44 | apart_point_and_line(Y,line_connecting(U,V)) )
% 11.37/11.44 => ( apart_point_and_line(U,line_connecting(X,Y))
% 11.37/11.44 | apart_point_and_line(V,line_connecting(X,Y)) ) ) ) ).
% 11.37/11.44
% 11.37/11.44 %------------------------------------------------------------------------------
% 11.37/11.44 %-------------------------------------------
% 11.37/11.44 % Proof found
% 11.37/11.44 % SZS status Theorem for theBenchmark
% 11.37/11.44 % SZS output start Proof
% 11.37/11.44 %ClaNum:19(EqnAxiom:0)
% 11.37/11.44 %VarNum:74(SingletonVarNum:33)
% 11.37/11.44 %MaxLitNum:6
% 11.37/11.44 %MaxfuncDepth:1
% 11.37/11.44 %SharedTerms:12
% 11.37/11.44 %goalClause: 1 2 6 7 14
% 11.37/11.44 %singleGoalClaCount:4
% 11.37/11.44 [1]P1(a1,a2)
% 11.37/11.44 [2]P1(a3,a4)
% 11.37/11.44 [6]~P4(a3,f5(a1,a2))
% 11.37/11.44 [7]~P4(a4,f5(a1,a2))
% 11.37/11.44 [3]~P1(x31,x31)
% 11.37/11.44 [4]~P2(x41,x41)
% 11.37/11.44 [5]~P3(x51,x51)
% 11.37/11.44 [14]P4(a2,f5(a3,a4))+P4(a1,f5(a3,a4))
% 11.37/11.44 [15]~P1(x151,x152)+~P4(x152,f5(x151,x152))
% 11.37/11.44 [16]~P1(x161,x162)+~P4(x161,f5(x161,x162))
% 11.37/11.44 [17]~P3(x171,x172)+~P4(f6(x171,x172),x172)
% 11.37/11.44 [18]~P3(x181,x182)+~P4(f6(x181,x182),x181)
% 11.37/11.44 [8]~P1(x83,x81)+P1(x81,x82)+P1(x83,x82)
% 11.37/11.44 [9]~P4(x91,x93)+P1(x91,x92)+P4(x92,x93)
% 11.37/11.44 [10]~P2(x103,x101)+P2(x101,x102)+P2(x103,x102)
% 11.37/11.44 [11]~P3(x113,x111)+P2(x111,x112)+P3(x113,x112)
% 11.37/11.44 [12]~P4(x123,x121)+P2(x121,x122)+P4(x123,x122)
% 11.37/11.44 [13]~P3(x133,x131)+P3(x131,x132)+P3(x133,x132)
% 11.37/11.44 [19]P4(x194,x193)+~P1(x194,x191)+~P2(x193,x192)+P4(x191,x192)+P4(x191,x193)+P4(x194,x192)
% 11.37/11.44 %EqnAxiom
% 11.37/11.44
% 11.37/11.44 %-------------------------------------------
% 11.37/11.45 cnf(20,plain,
% 11.37/11.45 (P1(a2,a1)),
% 11.37/11.45 inference(scs_inference,[],[1,3,8])).
% 11.37/11.45 cnf(23,plain,
% 11.37/11.45 (~P4(a3,f5(a4,a3))),
% 11.37/11.45 inference(scs_inference,[],[3,2,15,8])).
% 11.37/11.45 cnf(24,plain,
% 11.37/11.45 (~P4(a4,f5(a4,a3))),
% 11.37/11.45 inference(scs_inference,[],[3,2,16,8])).
% 11.37/11.45 cnf(27,plain,
% 11.37/11.45 (~P4(a2,f5(a1,a2))),
% 11.37/11.45 inference(scs_inference,[],[3,1,9,15])).
% 11.37/11.45 cnf(28,plain,
% 11.37/11.45 (~P4(a1,f5(a1,a2))),
% 11.37/11.45 inference(scs_inference,[],[4,1,12,16])).
% 11.37/11.45 cnf(29,plain,
% 11.37/11.45 (~P4(a4,f5(a3,a4))),
% 11.37/11.45 inference(scs_inference,[],[2,3,15,9])).
% 11.37/11.45 cnf(32,plain,
% 11.37/11.45 (~P4(a2,f5(a2,a1))),
% 11.37/11.45 inference(scs_inference,[],[20,4,16,12])).
% 11.37/11.45 cnf(34,plain,
% 11.37/11.45 (~P4(a3,f5(a3,a4))),
% 11.37/11.45 inference(scs_inference,[],[2,4,16,12])).
% 11.37/11.45 cnf(39,plain,
% 11.37/11.45 (~P4(a1,f5(a2,a1))),
% 11.37/11.45 inference(scs_inference,[],[20,3,8,15])).
% 11.37/11.45 cnf(72,plain,
% 11.37/11.45 (P1(a4,a3)),
% 11.37/11.45 inference(scs_inference,[],[2,3,8])).
% 11.37/11.45 cnf(334,plain,
% 11.37/11.45 (P2(f5(a3,a4),f5(a1,a2))+P4(a1,f5(a3,a4))),
% 11.37/11.45 inference(scs_inference,[],[27,14,12])).
% 11.37/11.45 cnf(375,plain,
% 11.37/11.45 (P2(f5(a3,a4),f5(a1,a2))),
% 11.37/11.45 inference(scs_inference,[],[28,334,12])).
% 11.37/11.45 cnf(376,plain,
% 11.37/11.45 (P2(f5(a1,a2),f5(a3,a4))),
% 11.37/11.45 inference(scs_inference,[],[375,4,10])).
% 11.37/11.45 cnf(453,plain,
% 11.37/11.45 (~P2(f5(a1,a2),f5(a4,a3))),
% 11.37/11.45 inference(scs_inference,[],[6,7,2,23,24,19])).
% 11.37/11.45 cnf(455,plain,
% 11.37/11.45 (~P3(f5(a4,a3),f5(a1,a2))),
% 11.37/11.45 inference(scs_inference,[],[453,5,11])).
% 11.37/11.45 cnf(458,plain,
% 11.37/11.45 (P2(f5(a3,a4),f5(a4,a3))),
% 11.37/11.45 inference(scs_inference,[],[453,376,5,11,10])).
% 11.37/11.45 cnf(460,plain,
% 11.37/11.45 (~P2(f5(a2,a1),f5(a1,a2))),
% 11.37/11.45 inference(scs_inference,[],[453,20,27,32,39,28,376,5,11,10,19])).
% 11.37/11.45 cnf(475,plain,
% 11.37/11.45 ($false),
% 11.37/11.45 inference(scs_inference,[],[6,7,460,72,29,34,458,455,376,4,5,13,12,11,10,19]),
% 11.37/11.45 ['proof']).
% 11.37/11.45 % SZS output end Proof
% 11.37/11.45 % Total time :10.830000s
%------------------------------------------------------------------------------