TSTP Solution File: GEO225+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO225+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 : n020.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 22:43:51 EDT 2023
% Result : Theorem 0.51s 0.61s
% Output : CNFRefutation 0.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% 0.06/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.10/0.32 % Computer : n020.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 29 21:34:13 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.17/0.55 start to proof:theBenchmark
% 0.51/0.60 %-------------------------------------------
% 0.51/0.61 % File :CSE---1.6
% 0.51/0.61 % Problem :theBenchmark
% 0.51/0.61 % Transform :cnf
% 0.51/0.61 % Format :tptp:raw
% 0.51/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.51/0.61
% 0.51/0.61 % Result :Theorem 0.000000s
% 0.51/0.61 % Output :CNFRefutation 0.000000s
% 0.51/0.61 %-------------------------------------------
% 0.51/0.61 %------------------------------------------------------------------------------
% 0.51/0.61 % File : GEO225+1 : TPTP v8.1.2. Released v3.3.0.
% 0.51/0.61 % Domain : Geometry (Constructive)
% 0.51/0.61 % Problem : Existence of line joining distinct points
% 0.51/0.61 % Version : [vPl95] axioms : Especial.
% 0.51/0.61 % English : When there are two distinct points, then a line connecting
% 0.51/0.61 % them can be constructed.
% 0.51/0.61
% 0.51/0.61 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.51/0.61 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.51/0.61 % Source : [ILTP]
% 0.51/0.61 % Names :
% 0.51/0.61
% 0.51/0.61 % Status : Theorem
% 0.51/0.61 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.08 v5.4.0, 0.09 v5.3.0, 0.17 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
% 0.51/0.61 % Syntax : Number of formulae : 19 ( 3 unt; 0 def)
% 0.51/0.61 % Number of atoms : 55 ( 0 equ)
% 0.51/0.61 % Maximal formula atoms : 6 ( 2 avg)
% 0.51/0.61 % Number of connectives : 45 ( 9 ~; 9 |; 10 &)
% 0.51/0.61 % ( 0 <=>; 17 =>; 0 <=; 0 <~>)
% 0.51/0.61 % Maximal formula depth : 9 ( 5 avg)
% 0.51/0.61 % Maximal term depth : 2 ( 1 avg)
% 0.51/0.61 % Number of predicates : 6 ( 6 usr; 0 prp; 1-2 aty)
% 0.51/0.61 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.51/0.61 % Number of variables : 44 ( 43 !; 1 ?)
% 0.51/0.61 % SPC : FOF_THM_RFO_NEQ
% 0.51/0.61
% 0.51/0.61 % Comments : Definitions unfolded, hence Especial.
% 0.51/0.61 %------------------------------------------------------------------------------
% 0.51/0.61 include('Axioms/GEO006+0.ax').
% 0.51/0.61 include('Axioms/GEO006+5.ax').
% 0.51/0.61 %------------------------------------------------------------------------------
% 0.51/0.61 fof(con,conjecture,
% 0.51/0.61 ! [A,B] :
% 0.51/0.61 ( ( point(A)
% 0.51/0.61 & point(B)
% 0.51/0.61 & distinct_points(A,B) )
% 0.51/0.61 => ? [X] :
% 0.51/0.61 ( line(X)
% 0.51/0.61 => ( ~ apart_point_and_line(A,X)
% 0.51/0.61 & ~ apart_point_and_line(B,X) ) ) ) ).
% 0.51/0.61
% 0.51/0.61 %------------------------------------------------------------------------------
% 0.51/0.61 %-------------------------------------------
% 0.51/0.61 % Proof found
% 0.51/0.61 % SZS status Theorem for theBenchmark
% 0.51/0.61 % SZS output start Proof
% 0.51/0.61 %ClaNum:19(EqnAxiom:0)
% 0.51/0.61 %VarNum:80(SingletonVarNum:36)
% 0.51/0.61 %MaxLitNum:6
% 0.51/0.61 %MaxfuncDepth:1
% 0.51/0.61 %SharedTerms:5
% 0.51/0.61 %goalClause: 1 2 3 7 14
% 0.51/0.62 %singleGoalClaCount:3
% 0.51/0.62 [1]P1(a1)
% 0.51/0.62 [2]P1(a2)
% 0.51/0.62 [3]P2(a1,a2)
% 0.51/0.62 [4]~P2(x41,x41)
% 0.51/0.62 [5]~P3(x51,x51)
% 0.51/0.62 [6]~P4(x61,x61)
% 0.51/0.62 [7]P5(a2,x71)+P5(a1,x71)
% 0.51/0.62 [14]~P4(x141,x142)+P1(f3(x141,x142))
% 0.51/0.62 [15]~P2(x151,x152)+~P5(x152,f4(x151,x152))
% 0.51/0.62 [16]~P2(x161,x162)+~P5(x161,f4(x161,x162))
% 0.51/0.62 [17]~P4(x171,x172)+~P5(f3(x171,x172),x172)
% 0.51/0.62 [18]~P4(x181,x182)+~P5(f3(x181,x182),x181)
% 0.51/0.62 [8]~P2(x83,x81)+P2(x81,x82)+P2(x83,x82)
% 0.51/0.62 [9]~P5(x91,x93)+P2(x91,x92)+P5(x92,x93)
% 0.51/0.62 [10]~P3(x103,x101)+P3(x101,x102)+P3(x103,x102)
% 0.51/0.62 [11]~P4(x113,x111)+P3(x111,x112)+P4(x113,x112)
% 0.51/0.62 [12]~P5(x123,x121)+P3(x121,x122)+P5(x123,x122)
% 0.51/0.62 [13]~P4(x133,x131)+P4(x131,x132)+P4(x133,x132)
% 0.51/0.62 [19]P5(x194,x193)+~P2(x194,x191)+~P3(x193,x192)+P5(x191,x192)+P5(x191,x193)+P5(x194,x192)
% 0.51/0.62 %EqnAxiom
% 0.51/0.62
% 0.51/0.62 %-------------------------------------------
% 0.51/0.62 cnf(26,plain,
% 0.51/0.62 ($false),
% 0.51/0.62 inference(scs_inference,[],[3,4,8,16,15,7]),
% 0.51/0.62 ['proof']).
% 0.51/0.62 % SZS output end Proof
% 0.51/0.62 % Total time :0.000000s
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