%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO177+2 : 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 : n019.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 10.56s 10.70s
% Output : CNFRefutation 10.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.14 % Problem : GEO177+2 : TPTP v8.2.0. Released v3.3.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36 % Computer : n019.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Fri Jun 21 10:32:39 EDT 2024
% 0.15/0.37 % CPUTime :
% 0.59/0.64 start to proof:theBenchmark
% 10.56/10.69 %-------------------------------------------
% 10.56/10.69 % File :CSE---1.7
% 10.56/10.69 % Problem :theBenchmark
% 10.56/10.69 % Transform :cnf
% 10.56/10.69 % Format :tptp:raw
% 10.56/10.69 % Command :java -jar mcs_scs.jar %d %s
% 10.56/10.69
% 10.56/10.69 % Result :Theorem 10.010000s
% 10.56/10.69 % Output :CNFRefutation 10.010000s
% 10.56/10.69 %-------------------------------------------
% 10.56/10.70 %------------------------------------------------------------------------------
% 10.56/10.70 % File : GEO177+2 : TPTP v8.2.0. Released v3.3.0.
% 10.56/10.70 % Domain : Geometry (Constructive)
% 10.56/10.70 % Problem : Symmetry of apartness
% 10.56/10.70 % Version : [vPl95] axioms : Reduced > Especial.
% 10.56/10.70 % English : If the points X and Y are distinct and U and V are distinct,
% 10.56/10.70 % and X or Y is apart from the line connecting U and V, then
% 10.56/10.70 % U or V are apart from the line connecting X and Y.
% 10.56/10.70
% 10.56/10.70 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 10.56/10.70 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 10.56/10.70 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 10.56/10.70 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 10.56/10.70 % Source : [ILTP]
% 10.56/10.70 % Names :
% 10.56/10.70
% 10.56/10.70 % Status : Theorem
% 10.56/10.70 % Rating : 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, 0.20 v4.1.0, 0.22 v4.0.1, 0.26 v4.0.0, 0.30 v3.7.0, 0.14 v3.5.0, 0.00 v3.3.0
% 10.56/10.70 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 10.56/10.70 % Number of atoms : 40 ( 0 equ)
% 10.56/10.70 % Maximal formula atoms : 6 ( 3 avg)
% 10.56/10.70 % Number of connectives : 30 ( 3 ~; 11 |; 3 &)
% 10.56/10.70 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 10.56/10.70 % Maximal formula depth : 9 ( 6 avg)
% 10.56/10.70 % Maximal term depth : 2 ( 1 avg)
% 10.56/10.70 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 10.56/10.70 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 10.56/10.70 % Number of variables : 34 ( 34 !; 0 ?)
% 10.56/10.70 % SPC : FOF_THM_RFO_NEQ
% 10.56/10.70
% 10.56/10.70 % Comments : Definitions unfolded, hence Especial.
% 10.56/10.70 %------------------------------------------------------------------------------
% 10.56/10.70 include('Axioms/GEO008+0.ax').
% 10.56/10.70 %------------------------------------------------------------------------------
% 10.56/10.70 fof(con,conjecture,
% 10.56/10.70 ! [X,Y,U,V] :
% 10.56/10.70 ( ( distinct_points(X,Y)
% 10.56/10.70 & distinct_points(U,V) )
% 10.56/10.70 => ( ( apart_point_and_line(X,line_connecting(U,V))
% 10.56/10.70 | apart_point_and_line(Y,line_connecting(U,V)) )
% 10.56/10.70 => ( apart_point_and_line(U,line_connecting(X,Y))
% 10.56/10.70 | apart_point_and_line(V,line_connecting(X,Y)) ) ) ) ).
% 10.56/10.70
% 10.56/10.70 %------------------------------------------------------------------------------
% 10.56/10.70 %-------------------------------------------
% 10.56/10.70 % Proof found
% 10.56/10.70 % SZS status Theorem for theBenchmark
% 10.56/10.70 % SZS output start Proof
% 10.56/10.70 %ClaNum:19(EqnAxiom:0)
% 10.56/10.70 %VarNum:80(SingletonVarNum:36)
% 10.56/10.70 %MaxLitNum:6
% 10.56/10.71 %MaxfuncDepth:1
% 10.56/10.71 %SharedTerms:12
% 10.56/10.71 %goalClause: 1 2 6 7 14
% 10.56/10.71 %singleGoalClaCount:4
% 10.56/10.71 [1]P1(a1,a2)
% 10.56/10.71 [2]P1(a3,a4)
% 10.56/10.71 [6]~P4(a3,f5(a1,a2))
% 10.56/10.71 [7]~P4(a4,f5(a1,a2))
% 10.56/10.71 [3]~P1(x31,x31)
% 10.56/10.71 [4]~P2(x41,x41)
% 10.56/10.71 [5]~P3(x51,x51)
% 10.56/10.71 [14]P4(a2,f5(a3,a4))+P4(a1,f5(a3,a4))
% 10.56/10.71 [8]~P3(x81,x82)+P2(x81,x82)
% 10.56/10.71 [9]~P1(x93,x91)+P1(x91,x92)+P1(x93,x92)
% 10.56/10.71 [10]~P4(x101,x103)+P1(x101,x102)+P4(x102,x103)
% 10.56/10.71 [11]~P2(x113,x111)+P2(x111,x112)+P2(x113,x112)
% 10.56/10.71 [12]~P4(x123,x121)+P2(x121,x122)+P4(x123,x122)
% 10.56/10.71 [13]~P3(x133,x131)+P3(x131,x132)+P3(x133,x132)
% 10.56/10.71 [15]~P3(x152,x153)+~P4(x151,x153)+P1(x151,f6(x152,x153))
% 10.56/10.71 [16]~P3(x162,x163)+~P4(x161,x162)+P1(x161,f6(x162,x163))
% 10.56/10.71 [17]P1(x171,x172)+~P1(x173,x172)+~P4(x171,f5(x173,x172))
% 10.56/10.71 [18]P1(x181,x182)+~P1(x182,x183)+~P4(x181,f5(x182,x183))
% 10.56/10.71 [19]P4(x194,x193)+~P1(x194,x191)+~P2(x193,x192)+P4(x191,x192)+P4(x191,x193)+P4(x194,x192)
% 10.56/10.71 %EqnAxiom
% 10.56/10.71
% 10.56/10.71 %-------------------------------------------
% 10.56/10.71 cnf(29,plain,
% 10.56/10.71 (P1(a4,a3)),
% 10.56/10.71 inference(scs_inference,[],[2,3,9])).
% 10.56/10.71 cnf(40,plain,
% 10.56/10.71 (~P4(a2,f5(a1,a2))),
% 10.56/10.71 inference(scs_inference,[],[3,1,10,17])).
% 10.56/10.71 cnf(41,plain,
% 10.56/10.71 (~P4(a1,f5(a1,a2))),
% 10.56/10.71 inference(scs_inference,[],[4,1,3,12,18])).
% 10.56/10.71 cnf(121,plain,
% 10.56/10.71 (P2(f5(a3,a4),f5(a1,a2))+P4(a1,f5(a3,a4))),
% 10.56/10.71 inference(scs_inference,[],[40,14,12])).
% 10.56/10.71 cnf(252,plain,
% 10.56/10.71 (P2(f5(a3,a4),f5(a1,a2))),
% 10.56/10.71 inference(scs_inference,[],[41,121,12])).
% 10.56/10.71 cnf(262,plain,
% 10.56/10.71 (~P4(a3,f5(a4,a3))),
% 10.56/10.71 inference(scs_inference,[],[3,29,10,17])).
% 10.56/10.71 cnf(404,plain,
% 10.56/10.71 (P4(a4,f5(a4,a3))+~P2(f5(a1,a2),f5(a4,a3))),
% 10.56/10.71 inference(scs_inference,[],[6,7,262,29,19])).
% 10.56/10.71 cnf(414,plain,
% 10.56/10.71 (P4(a4,f5(a4,a3))+~P2(f5(a4,a3),f5(a1,a2))),
% 10.56/10.71 inference(scs_inference,[],[262,7,6,2,19])).
% 10.56/10.71 cnf(432,plain,
% 10.56/10.71 (~P2(f5(a1,a2),f5(a4,a3))),
% 10.56/10.71 inference(scs_inference,[],[29,3,404,18])).
% 10.56/10.71 cnf(437,plain,
% 10.56/10.71 (~P2(f5(a4,a3),f5(a1,a2))),
% 10.56/10.71 inference(scs_inference,[],[29,3,414,18])).
% 10.56/10.71 cnf(463,plain,
% 10.56/10.71 (~P4(a4,f5(a4,a3))),
% 10.56/10.71 inference(scs_inference,[],[437,7,12])).
% 10.56/10.71 cnf(747,plain,
% 10.56/10.71 (P4(a3,f5(a3,a4))+P4(a4,f5(a3,a4))),
% 10.56/10.71 inference(scs_inference,[],[252,432,262,29,463,11,19])).
% 10.56/10.71 cnf(748,plain,
% 10.56/10.71 (P4(a4,f5(a3,a4))),
% 10.56/10.71 inference(scs_inference,[],[2,3,747,18])).
% 10.56/10.71 cnf(749,plain,
% 10.56/10.71 ($false),
% 10.56/10.71 inference(scs_inference,[],[2,3,748,17]),
% 10.56/10.71 ['proof']).
% 10.56/10.71 % SZS output end Proof
% 10.56/10.71 % Total time :10.010000s
%------------------------------------------------------------------------------