%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO187+2 : 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 : n029.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 4.36s 4.50s
% Output : CNFRefutation 4.36s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.12 % Problem : GEO187+2 : TPTP v8.2.0. Released v3.3.0.
% 0.12/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n029.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 10:24:39 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 4.36/4.49 %-------------------------------------------
% 4.36/4.49 % File :CSE---1.7
% 4.36/4.49 % Problem :theBenchmark
% 4.36/4.49 % Transform :cnf
% 4.36/4.49 % Format :tptp:raw
% 4.36/4.49 % Command :java -jar mcs_scs.jar %d %s
% 4.36/4.49
% 4.36/4.49 % Result :Theorem 3.820000s
% 4.36/4.49 % Output :CNFRefutation 3.820000s
% 4.36/4.49 %-------------------------------------------
% 4.36/4.50 %------------------------------------------------------------------------------
% 4.36/4.50 % File : GEO187+2 : TPTP v8.2.0. Released v3.3.0.
% 4.36/4.50 % Domain : Geometry (Constructive)
% 4.36/4.50 % Problem : Symmetry of incidence
% 4.36/4.50 % Version : [vPl95] axioms : Reduced > Especial.
% 4.36/4.50 % English : If X and Y are distinct points, U and V are distinct points,
% 4.36/4.50 % X and Y are incident with the line connecting U and V, then
% 4.36/4.50 % U and V are incident with the line connecting X and Y.
% 4.36/4.50
% 4.36/4.50 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 4.36/4.50 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 4.36/4.50 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 4.36/4.50 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 4.36/4.50 % Source : [ILTP]
% 4.36/4.50 % Names :
% 4.36/4.50
% 4.36/4.50 % Status : Theorem
% 4.36/4.50 % Rating : 0.00 v8.1.0, 0.07 v7.5.0, 0.05 v7.4.0, 0.00 v6.1.0, 0.08 v6.0.0, 0.50 v5.5.0, 0.25 v5.4.0, 0.22 v5.3.0, 0.30 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.21 v4.0.0, 0.25 v3.7.0, 0.14 v3.5.0, 0.00 v3.3.0
% 4.36/4.50 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 4.36/4.50 % Number of atoms : 40 ( 0 equ)
% 4.36/4.50 % Maximal formula atoms : 6 ( 3 avg)
% 4.36/4.50 % Number of connectives : 34 ( 7 ~; 9 |; 6 &)
% 4.36/4.50 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 4.36/4.50 % Maximal formula depth : 10 ( 6 avg)
% 4.36/4.50 % Maximal term depth : 2 ( 1 avg)
% 4.36/4.50 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 4.36/4.50 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 4.36/4.50 % Number of variables : 34 ( 34 !; 0 ?)
% 4.36/4.50 % SPC : FOF_THM_RFO_NEQ
% 4.36/4.50
% 4.36/4.50 % Comments : Definitions unfolded, hence Especial.
% 4.36/4.50 %------------------------------------------------------------------------------
% 4.36/4.50 include('Axioms/GEO008+0.ax').
% 4.36/4.50 %------------------------------------------------------------------------------
% 4.36/4.50 fof(con,conjecture,
% 4.36/4.50 ! [X,Y,U,V] :
% 4.36/4.50 ( ( distinct_points(X,Y)
% 4.36/4.50 & distinct_points(U,V)
% 4.36/4.50 & ~ apart_point_and_line(X,line_connecting(U,V))
% 4.36/4.50 & ~ apart_point_and_line(Y,line_connecting(U,V)) )
% 4.36/4.50 => ( ~ apart_point_and_line(U,line_connecting(X,Y))
% 4.36/4.50 & ~ apart_point_and_line(V,line_connecting(X,Y)) ) ) ).
% 4.36/4.50
% 4.36/4.50 %------------------------------------------------------------------------------
% 4.36/4.50 %-------------------------------------------
% 4.36/4.50 % Proof found
% 4.36/4.50 % SZS status Theorem for theBenchmark
% 4.36/4.50 % SZS output start Proof
% 4.36/4.50 %ClaNum:19(EqnAxiom:0)
% 4.36/4.50 %VarNum:80(SingletonVarNum:36)
% 4.36/4.50 %MaxLitNum:6
% 4.36/4.50 %MaxfuncDepth:1
% 4.36/4.50 %SharedTerms:12
% 4.36/4.50 %goalClause: 1 2 6 7 14
% 4.36/4.50 %singleGoalClaCount:4
% 4.36/4.50 [1]P1(a1,a2)
% 4.36/4.50 [2]P1(a3,a4)
% 4.36/4.50 [6]~P4(a1,f5(a3,a4))
% 4.36/4.50 [7]~P4(a2,f5(a3,a4))
% 4.36/4.50 [3]~P1(x31,x31)
% 4.36/4.50 [4]~P2(x41,x41)
% 4.36/4.50 [5]~P3(x51,x51)
% 4.36/4.50 [14]P4(a4,f5(a1,a2))+P4(a3,f5(a1,a2))
% 4.36/4.50 [8]~P3(x81,x82)+P2(x81,x82)
% 4.36/4.50 [9]~P1(x93,x91)+P1(x91,x92)+P1(x93,x92)
% 4.36/4.50 [10]~P4(x101,x103)+P1(x101,x102)+P4(x102,x103)
% 4.36/4.50 [11]~P2(x113,x111)+P2(x111,x112)+P2(x113,x112)
% 4.36/4.50 [12]~P4(x123,x121)+P2(x121,x122)+P4(x123,x122)
% 4.36/4.50 [13]~P3(x133,x131)+P3(x131,x132)+P3(x133,x132)
% 4.36/4.50 [15]~P3(x152,x153)+~P4(x151,x153)+P1(x151,f6(x152,x153))
% 4.36/4.50 [16]~P3(x162,x163)+~P4(x161,x162)+P1(x161,f6(x162,x163))
% 4.36/4.50 [17]P1(x171,x172)+~P1(x173,x172)+~P4(x171,f5(x173,x172))
% 4.36/4.50 [18]P1(x181,x182)+~P1(x182,x183)+~P4(x181,f5(x182,x183))
% 4.36/4.50 [19]P4(x194,x193)+~P1(x194,x191)+~P2(x193,x192)+P4(x191,x192)+P4(x191,x193)+P4(x194,x192)
% 4.36/4.50 %EqnAxiom
% 4.36/4.50
% 4.36/4.50 %-------------------------------------------
% 4.36/4.51 cnf(20,plain,
% 4.36/4.51 (P1(a2,a1)),
% 4.36/4.51 inference(scs_inference,[],[1,3,9])).
% 4.36/4.51 cnf(29,plain,
% 4.36/4.51 (P1(a4,a3)),
% 4.36/4.51 inference(scs_inference,[],[2,3,9])).
% 4.36/4.51 cnf(40,plain,
% 4.36/4.51 (~P4(a4,f5(a3,a4))),
% 4.36/4.51 inference(scs_inference,[],[3,2,10,17])).
% 4.36/4.51 cnf(41,plain,
% 4.36/4.51 (~P4(a3,f5(a3,a4))),
% 4.36/4.51 inference(scs_inference,[],[4,2,3,12,18])).
% 4.36/4.51 cnf(121,plain,
% 4.36/4.51 (P2(f5(a1,a2),f5(a3,a4))+P4(a3,f5(a1,a2))),
% 4.36/4.51 inference(scs_inference,[],[40,14,12])).
% 4.36/4.51 cnf(252,plain,
% 4.36/4.51 (P2(f5(a1,a2),f5(a3,a4))),
% 4.36/4.51 inference(scs_inference,[],[41,121,12])).
% 4.36/4.51 cnf(257,plain,
% 4.36/4.51 (~P4(a3,f5(a4,a3))),
% 4.36/4.51 inference(scs_inference,[],[2,3,9,17])).
% 4.36/4.51 cnf(262,plain,
% 4.36/4.51 (~P4(a4,f5(a4,a3))),
% 4.36/4.51 inference(scs_inference,[],[3,29,10,18])).
% 4.36/4.51 cnf(286,plain,
% 4.36/4.51 (~P2(f5(a4,a3),f5(a3,a4))),
% 4.36/4.51 inference(scs_inference,[],[2,257,262,40,41,19])).
% 4.36/4.51 cnf(288,plain,
% 4.36/4.51 (~P3(f5(a4,a3),f5(a3,a4))),
% 4.36/4.51 inference(scs_inference,[],[2,257,262,40,41,19,8])).
% 4.36/4.51 cnf(294,plain,
% 4.36/4.51 (~P4(a1,f5(a4,a3))),
% 4.36/4.51 inference(scs_inference,[],[6,286,288,5,13,12])).
% 4.36/4.51 cnf(306,plain,
% 4.36/4.51 (~P4(a2,f5(a4,a3))),
% 4.36/4.51 inference(scs_inference,[],[7,286,12])).
% 4.36/4.51 cnf(308,plain,
% 4.36/4.51 (~P2(f5(a3,a4),f5(a4,a3))),
% 4.36/4.51 inference(scs_inference,[],[6,7,286,294,20,12,19])).
% 4.36/4.51 cnf(564,plain,
% 4.36/4.51 (P4(a2,f5(a1,a2))+P4(a1,f5(a1,a2))),
% 4.36/4.51 inference(scs_inference,[],[252,308,306,1,294,11,19])).
% 4.36/4.51 cnf(565,plain,
% 4.36/4.51 (P4(a1,f5(a1,a2))),
% 4.36/4.51 inference(scs_inference,[],[1,3,564,17])).
% 4.36/4.51 cnf(566,plain,
% 4.36/4.51 ($false),
% 4.36/4.51 inference(scs_inference,[],[1,3,565,18]),
% 4.36/4.51 ['proof']).
% 4.36/4.51 % SZS output end Proof
% 4.36/4.51 % Total time :3.820000s
%------------------------------------------------------------------------------