TSTP Solution File: GEO187+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO187+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 : n013.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 22:43:26 EDT 2023
% Result : Theorem 0.54s 0.65s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO187+1 : TPTP v8.1.2. Released v3.3.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n013.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 19:53:16 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.54/0.64 %-------------------------------------------
% 0.54/0.64 % File :CSE---1.6
% 0.54/0.64 % Problem :theBenchmark
% 0.54/0.64 % Transform :cnf
% 0.54/0.64 % Format :tptp:raw
% 0.54/0.64 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.64
% 0.54/0.64 % Result :Theorem 0.010000s
% 0.54/0.64 % Output :CNFRefutation 0.010000s
% 0.54/0.64 %-------------------------------------------
% 0.54/0.64 %------------------------------------------------------------------------------
% 0.54/0.64 % File : GEO187+1 : TPTP v8.1.2. Released v3.3.0.
% 0.54/0.64 % Domain : Geometry (Constructive)
% 0.54/0.65 % Problem : Symmetry of incidence
% 0.54/0.65 % Version : [vPl95] axioms : Especial.
% 0.54/0.65 % English : If X and Y are distinct points, U and V are distinct points,
% 0.54/0.65 % X and Y are incident with the line connecting U and V, then
% 0.54/0.65 % U and V are incident with the line connecting X and Y.
% 0.54/0.65
% 0.54/0.65 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.54/0.65 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.54/0.65 % Source : [ILTP]
% 0.54/0.65 % Names : Theorem 4.6 [vPl95]
% 0.54/0.65
% 0.54/0.65 % Status : Theorem
% 0.54/0.65 % 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, 0.21 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, 0.26 v4.0.0, 0.25 v3.7.0, 0.14 v3.5.0, 0.00 v3.3.0
% 0.54/0.65 % Syntax : Number of formulae : 15 ( 3 unt; 0 def)
% 0.54/0.65 % Number of atoms : 41 ( 0 equ)
% 0.54/0.65 % Maximal formula atoms : 6 ( 2 avg)
% 0.54/0.65 % Number of connectives : 37 ( 11 ~; 9 |; 5 &)
% 0.54/0.65 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.54/0.65 % Maximal formula depth : 10 ( 6 avg)
% 0.54/0.65 % Maximal term depth : 2 ( 1 avg)
% 0.54/0.65 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.54/0.65 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.54/0.65 % Number of variables : 37 ( 37 !; 0 ?)
% 0.54/0.65 % SPC : FOF_THM_RFO_NEQ
% 0.54/0.65
% 0.54/0.65 % Comments : Definitions unfolded, hence Especial.
% 0.54/0.65 %------------------------------------------------------------------------------
% 0.54/0.65 include('Axioms/GEO006+0.ax').
% 0.54/0.65 %------------------------------------------------------------------------------
% 0.54/0.65 fof(con,conjecture,
% 0.54/0.65 ! [X,Y,U,V] :
% 0.54/0.65 ( ( distinct_points(X,Y)
% 0.54/0.65 & distinct_points(U,V)
% 0.54/0.65 & ~ apart_point_and_line(X,line_connecting(U,V))
% 0.54/0.65 & ~ apart_point_and_line(Y,line_connecting(U,V)) )
% 0.54/0.65 => ( ~ apart_point_and_line(U,line_connecting(X,Y))
% 0.54/0.65 & ~ apart_point_and_line(V,line_connecting(X,Y)) ) ) ).
% 0.54/0.65
% 0.54/0.65 %------------------------------------------------------------------------------
% 0.54/0.65 %-------------------------------------------
% 0.54/0.65 % Proof found
% 0.54/0.65 % SZS status Theorem for theBenchmark
% 0.54/0.65 % SZS output start Proof
% 0.54/0.65 %ClaNum:19(EqnAxiom:0)
% 0.54/0.65 %VarNum:74(SingletonVarNum:33)
% 0.54/0.65 %MaxLitNum:6
% 0.54/0.65 %MaxfuncDepth:1
% 0.54/0.65 %SharedTerms:12
% 0.54/0.65 %goalClause: 1 2 6 7 14
% 0.54/0.65 %singleGoalClaCount:4
% 0.54/0.65 [1]P1(a1,a2)
% 0.54/0.65 [2]P1(a3,a4)
% 0.54/0.65 [6]~P4(a1,f5(a3,a4))
% 0.54/0.65 [7]~P4(a2,f5(a3,a4))
% 0.54/0.65 [3]~P1(x31,x31)
% 0.54/0.65 [4]~P2(x41,x41)
% 0.54/0.65 [5]~P3(x51,x51)
% 0.54/0.65 [14]P4(a4,f5(a1,a2))+P4(a3,f5(a1,a2))
% 0.54/0.65 [15]~P1(x151,x152)+~P4(x152,f5(x151,x152))
% 0.54/0.65 [16]~P1(x161,x162)+~P4(x161,f5(x161,x162))
% 0.54/0.65 [17]~P3(x171,x172)+~P4(f6(x171,x172),x172)
% 0.54/0.65 [18]~P3(x181,x182)+~P4(f6(x181,x182),x181)
% 0.54/0.65 [8]~P1(x83,x81)+P1(x81,x82)+P1(x83,x82)
% 0.54/0.65 [9]~P4(x91,x93)+P1(x91,x92)+P4(x92,x93)
% 0.54/0.65 [10]~P2(x103,x101)+P2(x101,x102)+P2(x103,x102)
% 0.54/0.65 [11]~P3(x113,x111)+P2(x111,x112)+P3(x113,x112)
% 0.54/0.65 [12]~P4(x123,x121)+P2(x121,x122)+P4(x123,x122)
% 0.54/0.65 [13]~P3(x133,x131)+P3(x131,x132)+P3(x133,x132)
% 0.54/0.65 [19]P4(x194,x193)+~P1(x194,x191)+~P2(x193,x192)+P4(x191,x192)+P4(x191,x193)+P4(x194,x192)
% 0.54/0.65 %EqnAxiom
% 0.54/0.65
% 0.54/0.65 %-------------------------------------------
% 0.54/0.65 cnf(22,plain,
% 0.54/0.65 (~P4(a1,f5(a1,a2))),
% 0.54/0.65 inference(scs_inference,[],[1,3,8,16])).
% 0.54/0.65 cnf(24,plain,
% 0.54/0.65 (~P4(a2,f5(a1,a2))),
% 0.54/0.65 inference(scs_inference,[],[1,3,8,16,15])).
% 0.54/0.65 cnf(27,plain,
% 0.54/0.65 (~P2(f5(a1,a2),f5(a3,a4))),
% 0.54/0.65 inference(scs_inference,[],[6,22,7,24,1,19])).
% 0.54/0.65 cnf(28,plain,
% 0.54/0.65 (~P3(f5(a3,a4),f5(a1,a2))),
% 0.54/0.65 inference(scs_inference,[],[6,22,7,5,24,1,19,11])).
% 0.54/0.65 cnf(41,plain,
% 0.54/0.65 (~P4(a4,f5(a3,a4))),
% 0.54/0.65 inference(scs_inference,[],[28,5,2,13,15])).
% 0.54/0.65 cnf(43,plain,
% 0.54/0.65 (~P4(a3,f5(a3,a4))),
% 0.54/0.65 inference(scs_inference,[],[28,5,2,13,15,16])).
% 0.54/0.65 cnf(45,plain,
% 0.54/0.65 (~P4(a3,f5(a1,a2))),
% 0.54/0.65 inference(scs_inference,[],[27,43,12])).
% 0.54/0.65 cnf(47,plain,
% 0.54/0.65 (P4(a4,f5(a1,a2))),
% 0.54/0.65 inference(scs_inference,[],[45,14])).
% 0.54/0.65 cnf(51,plain,
% 0.54/0.65 ($false),
% 0.54/0.65 inference(scs_inference,[],[27,24,41,47,9,12]),
% 0.54/0.65 ['proof']).
% 0.54/0.65 % SZS output end Proof
% 0.54/0.65 % Total time :0.010000s
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