TSTP Solution File: GEO187+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO187+2 : TPTP v8.1.2. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n012.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 22:43:27 EDT 2023
% Result : Theorem 0.20s 0.64s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : GEO187+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n012.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 23:42:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 % File :CSE---1.6
% 0.20/0.63 % Problem :theBenchmark
% 0.20/0.63 % Transform :cnf
% 0.20/0.63 % Format :tptp:raw
% 0.20/0.63 % Command :java -jar mcs_scs.jar %d %s
% 0.20/0.63
% 0.20/0.63 % Result :Theorem 0.010000s
% 0.20/0.63 % Output :CNFRefutation 0.010000s
% 0.20/0.63 %-------------------------------------------
% 0.20/0.63 %------------------------------------------------------------------------------
% 0.20/0.63 % File : GEO187+2 : TPTP v8.1.2. Released v3.3.0.
% 0.20/0.63 % Domain : Geometry (Constructive)
% 0.20/0.63 % Problem : Symmetry of incidence
% 0.20/0.63 % Version : [vPl95] axioms : Reduced > Especial.
% 0.20/0.63 % English : If X and Y are distinct points, U and V are distinct points,
% 0.20/0.63 % X and Y are incident with the line connecting U and V, then
% 0.20/0.63 % U and V are incident with the line connecting X and Y.
% 0.20/0.63
% 0.20/0.63 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.20/0.63 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.20/0.63 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.20/0.63 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.20/0.63 % Source : [ILTP]
% 0.20/0.63 % Names :
% 0.20/0.63
% 0.20/0.63 % Status : Theorem
% 0.20/0.63 % 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
% 0.20/0.63 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 0.20/0.63 % Number of atoms : 40 ( 0 equ)
% 0.20/0.63 % Maximal formula atoms : 6 ( 3 avg)
% 0.20/0.63 % Number of connectives : 34 ( 7 ~; 9 |; 6 &)
% 0.20/0.64 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.20/0.64 % Maximal formula depth : 10 ( 6 avg)
% 0.20/0.64 % Maximal term depth : 2 ( 1 avg)
% 0.20/0.64 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.20/0.64 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.20/0.64 % Number of variables : 34 ( 34 !; 0 ?)
% 0.20/0.64 % SPC : FOF_THM_RFO_NEQ
% 0.20/0.64
% 0.20/0.64 % Comments : Definitions unfolded, hence Especial.
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 include('Axioms/GEO008+0.ax').
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 fof(con,conjecture,
% 0.20/0.64 ! [X,Y,U,V] :
% 0.20/0.64 ( ( distinct_points(X,Y)
% 0.20/0.64 & distinct_points(U,V)
% 0.20/0.64 & ~ apart_point_and_line(X,line_connecting(U,V))
% 0.20/0.64 & ~ apart_point_and_line(Y,line_connecting(U,V)) )
% 0.20/0.64 => ( ~ apart_point_and_line(U,line_connecting(X,Y))
% 0.20/0.64 & ~ apart_point_and_line(V,line_connecting(X,Y)) ) ) ).
% 0.20/0.64
% 0.20/0.64 %------------------------------------------------------------------------------
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 % Proof found
% 0.20/0.64 % SZS status Theorem for theBenchmark
% 0.20/0.64 % SZS output start Proof
% 0.20/0.64 %ClaNum:19(EqnAxiom:0)
% 0.20/0.64 %VarNum:80(SingletonVarNum:36)
% 0.20/0.64 %MaxLitNum:6
% 0.20/0.64 %MaxfuncDepth:1
% 0.20/0.64 %SharedTerms:12
% 0.20/0.64 %goalClause: 1 2 6 7 14
% 0.20/0.64 %singleGoalClaCount:4
% 0.20/0.64 [1]P1(a1,a2)
% 0.20/0.64 [2]P1(a3,a4)
% 0.20/0.64 [6]~P4(a1,f5(a3,a4))
% 0.20/0.64 [7]~P4(a2,f5(a3,a4))
% 0.20/0.64 [3]~P1(x31,x31)
% 0.20/0.64 [4]~P2(x41,x41)
% 0.20/0.64 [5]~P3(x51,x51)
% 0.20/0.64 [14]P4(a4,f5(a1,a2))+P4(a3,f5(a1,a2))
% 0.20/0.64 [8]~P3(x81,x82)+P2(x81,x82)
% 0.20/0.64 [9]~P1(x93,x91)+P1(x91,x92)+P1(x93,x92)
% 0.20/0.64 [10]~P4(x101,x103)+P1(x101,x102)+P4(x102,x103)
% 0.20/0.64 [11]~P2(x113,x111)+P2(x111,x112)+P2(x113,x112)
% 0.20/0.64 [12]~P4(x123,x121)+P2(x121,x122)+P4(x123,x122)
% 0.20/0.64 [13]~P3(x133,x131)+P3(x131,x132)+P3(x133,x132)
% 0.20/0.64 [15]~P3(x152,x153)+~P4(x151,x153)+P1(x151,f6(x152,x153))
% 0.20/0.64 [16]~P3(x162,x163)+~P4(x161,x162)+P1(x161,f6(x162,x163))
% 0.20/0.64 [17]P1(x171,x172)+~P1(x173,x172)+~P4(x171,f5(x173,x172))
% 0.20/0.64 [18]P1(x181,x182)+~P1(x182,x183)+~P4(x181,f5(x182,x183))
% 0.20/0.64 [19]P4(x194,x193)+~P1(x194,x191)+~P2(x193,x192)+P4(x191,x192)+P4(x191,x193)+P4(x194,x192)
% 0.20/0.64 %EqnAxiom
% 0.20/0.64
% 0.20/0.64 %-------------------------------------------
% 0.20/0.64 cnf(20,plain,
% 0.20/0.64 (P1(a2,a1)),
% 0.20/0.64 inference(scs_inference,[],[1,3,9])).
% 0.20/0.64 cnf(21,plain,
% 0.20/0.64 (~P1(x211,x211)),
% 0.20/0.64 inference(rename_variables,[],[3])).
% 0.20/0.64 cnf(22,plain,
% 0.20/0.64 (~P4(a1,f5(a1,a2))),
% 0.20/0.64 inference(scs_inference,[],[1,3,21,9,18])).
% 0.20/0.64 cnf(23,plain,
% 0.20/0.64 (~P1(x231,x231)),
% 0.20/0.64 inference(rename_variables,[],[3])).
% 0.20/0.64 cnf(25,plain,
% 0.20/0.64 (~P4(a2,f5(a1,a2))),
% 0.20/0.64 inference(scs_inference,[],[1,3,21,23,9,18,17])).
% 0.20/0.64 cnf(28,plain,
% 0.20/0.64 (~P4(a4,f5(a3,a4))),
% 0.20/0.64 inference(scs_inference,[],[2,3,17])).
% 0.20/0.64 cnf(29,plain,
% 0.20/0.64 (~P1(x291,x291)),
% 0.20/0.64 inference(rename_variables,[],[3])).
% 0.20/0.64 cnf(31,plain,
% 0.20/0.64 (~P4(a3,f5(a3,a4))),
% 0.20/0.64 inference(scs_inference,[],[2,3,29,17,18])).
% 0.20/0.64 cnf(34,plain,
% 0.20/0.64 (~P2(f5(a1,a2),f5(a3,a4))),
% 0.20/0.64 inference(scs_inference,[],[20,7,6,25,22,19])).
% 0.20/0.64 cnf(44,plain,
% 0.20/0.64 (~P2(f5(a3,a4),f5(a1,a2))),
% 0.20/0.64 inference(scs_inference,[],[6,22,7,25,1,19])).
% 0.20/0.64 cnf(55,plain,
% 0.20/0.64 (~P4(a4,f5(a1,a2))),
% 0.20/0.64 inference(scs_inference,[],[28,44,34,8,12])).
% 0.20/0.64 cnf(57,plain,
% 0.20/0.64 (P4(a3,f5(a1,a2))),
% 0.20/0.64 inference(scs_inference,[],[55,14])).
% 0.20/0.64 cnf(62,plain,
% 0.20/0.64 ($false),
% 0.20/0.64 inference(scs_inference,[],[22,31,57,34,10,12]),
% 0.20/0.64 ['proof']).
% 0.20/0.64 % SZS output end Proof
% 0.20/0.64 % Total time :0.010000s
%------------------------------------------------------------------------------