%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO174+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 : n032.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 06:04:10 EDT 2024
% Result : Theorem 0.70s 0.80s
% Output : CNFRefutation 0.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GEO174+2 : TPTP v8.2.0. Released v3.3.0.
% 0.00/0.09 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Fri Jun 21 09:48:23 EDT 2024
% 0.08/0.28 % CPUTime :
% 0.13/0.46 start to proof:theBenchmark
% 0.70/0.80 %-------------------------------------------
% 0.70/0.80 % File :CSE---1.7
% 0.70/0.80 % Problem :theBenchmark
% 0.70/0.80 % Transform :cnf
% 0.70/0.80 % Format :tptp:raw
% 0.70/0.80 % Command :java -jar mcs_scs.jar %d %s
% 0.70/0.80
% 0.70/0.80 % Result :Theorem 0.300000s
% 0.70/0.80 % Output :CNFRefutation 0.300000s
% 0.70/0.80 %-------------------------------------------
% 0.70/0.80 %------------------------------------------------------------------------------
% 0.70/0.80 % File : GEO174+2 : TPTP v8.2.0. Released v3.3.0.
% 0.70/0.80 % Domain : Geometry (Constructive)
% 0.70/0.80 % Problem : Lemma on symmetry and apartness
% 0.70/0.80 % Version : [vPl95] axioms : Reduced > Especial.
% 0.70/0.80 % English : If two points are distinct and a line U is apart from at least
% 0.70/0.80 % one of these points, then this line is distinct from the line
% 0.70/0.80 % connecting these points
% 0.70/0.80
% 0.70/0.80 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.70/0.80 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.70/0.80 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.70/0.80 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.70/0.80 % Source : [ILTP]
% 0.70/0.80 % Names :
% 0.70/0.80
% 0.70/0.80 % Status : Theorem
% 0.70/0.80 % Rating : 0.00 v6.0.0, 0.25 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.11 v4.0.0, 0.10 v3.7.0, 0.00 v3.3.0
% 0.70/0.80 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 0.70/0.80 % Number of atoms : 39 ( 0 equ)
% 0.70/0.80 % Maximal formula atoms : 6 ( 3 avg)
% 0.70/0.80 % Number of connectives : 29 ( 3 ~; 10 |; 4 &)
% 0.70/0.80 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.70/0.80 % Maximal formula depth : 9 ( 6 avg)
% 0.70/0.80 % Maximal term depth : 2 ( 1 avg)
% 0.70/0.80 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.70/0.80 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.70/0.80 % Number of variables : 34 ( 34 !; 0 ?)
% 0.70/0.80 % SPC : FOF_THM_RFO_NEQ
% 0.70/0.80
% 0.70/0.80 % Comments : Definitions unfolded, hence Especial.
% 0.70/0.80 %------------------------------------------------------------------------------
% 0.70/0.80 include('Axioms/GEO008+0.ax').
% 0.70/0.80 %------------------------------------------------------------------------------
% 0.70/0.80 fof(con,conjecture,
% 0.70/0.80 ! [X,Y,U,V] :
% 0.70/0.80 ( ( distinct_points(X,Y)
% 0.70/0.80 & convergent_lines(U,V)
% 0.70/0.80 & ( apart_point_and_line(X,U)
% 0.70/0.80 | apart_point_and_line(Y,U) ) )
% 0.70/0.80 => distinct_lines(U,line_connecting(X,Y)) ) ).
% 0.70/0.80
% 0.70/0.80 %------------------------------------------------------------------------------
% 0.70/0.80 %-------------------------------------------
% 0.70/0.80 % Proof found
% 0.70/0.80 % SZS status Theorem for theBenchmark
% 0.70/0.80 % SZS output start Proof
% 0.70/0.80 %ClaNum:18(EqnAxiom:0)
% 0.70/0.80 %VarNum:80(SingletonVarNum:36)
% 0.70/0.80 %MaxLitNum:6
% 0.70/0.80 %MaxfuncDepth:1
% 0.70/0.80 %SharedTerms:10
% 0.70/0.80 %goalClause: 1 2 6 7
% 0.70/0.80 %singleGoalClaCount:3
% 0.70/0.80 [1]P1(a1,a2)
% 0.70/0.80 [2]P2(a3,a4)
% 0.70/0.80 [6]~P4(a3,f5(a1,a2))
% 0.70/0.80 [3]~P1(x31,x31)
% 0.70/0.80 [4]~P4(x41,x41)
% 0.70/0.80 [5]~P2(x51,x51)
% 0.70/0.80 [7]P3(a1,a3)+P3(a2,a3)
% 0.70/0.80 [8]~P2(x81,x82)+P4(x81,x82)
% 0.70/0.80 [9]~P1(x93,x91)+P1(x91,x92)+P1(x93,x92)
% 0.70/0.80 [10]~P3(x101,x103)+P1(x101,x102)+P3(x102,x103)
% 0.70/0.80 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 0.70/0.80 [12]~P3(x123,x121)+P4(x121,x122)+P3(x123,x122)
% 0.70/0.80 [13]~P2(x133,x131)+P2(x131,x132)+P2(x133,x132)
% 0.70/0.80 [14]~P2(x142,x143)+~P3(x141,x143)+P1(x141,f6(x142,x143))
% 0.70/0.80 [15]~P2(x152,x153)+~P3(x151,x152)+P1(x151,f6(x152,x153))
% 0.70/0.80 [16]P1(x161,x162)+~P1(x163,x162)+~P3(x161,f5(x163,x162))
% 0.70/0.80 [17]P1(x171,x172)+~P1(x172,x173)+~P3(x171,f5(x172,x173))
% 0.70/0.80 [18]P3(x184,x183)+~P1(x184,x181)+~P4(x183,x182)+P3(x181,x182)+P3(x181,x183)+P3(x184,x182)
% 0.70/0.80 %EqnAxiom
% 0.70/0.80
% 0.70/0.80 %-------------------------------------------
% 0.70/0.80 cnf(105,plain,
% 0.70/0.80 (P3(a1,f5(a1,a2))+P3(a2,a3)),
% 0.70/0.80 inference(scs_inference,[],[6,7,12])).
% 0.70/0.80 cnf(106,plain,
% 0.70/0.80 (P3(a2,a3)),
% 0.70/0.80 inference(scs_inference,[],[1,3,105,17])).
% 0.70/0.80 cnf(195,plain,
% 0.70/0.80 (~P3(a2,f5(a1,a2))),
% 0.70/0.80 inference(scs_inference,[],[1,3,9,16])).
% 0.70/0.80 cnf(196,plain,
% 0.70/0.80 ($false),
% 0.70/0.80 inference(scs_inference,[],[106,6,195,12]),
% 0.70/0.80 ['proof']).
% 0.70/0.80 % SZS output end Proof
% 0.70/0.80 % Total time :0.300000s
%------------------------------------------------------------------------------