TSTP Solution File: GEO178+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO178+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 : n001.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 22:43:21 EDT 2023
% Result : Theorem 0.16s 0.60s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : GEO178+2 : TPTP v8.1.2. Released v3.3.0.
% 0.00/0.12 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.32 % Computer : n001.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue Aug 29 23:07:53 EDT 2023
% 0.13/0.32 % CPUTime :
% 0.16/0.55 start to proof:theBenchmark
% 0.16/0.59 %-------------------------------------------
% 0.16/0.59 % File :CSE---1.6
% 0.16/0.59 % Problem :theBenchmark
% 0.16/0.59 % Transform :cnf
% 0.16/0.59 % Format :tptp:raw
% 0.16/0.59 % Command :java -jar mcs_scs.jar %d %s
% 0.16/0.59
% 0.16/0.59 % Result :Theorem 0.000000s
% 0.16/0.59 % Output :CNFRefutation 0.000000s
% 0.16/0.59 %-------------------------------------------
% 0.16/0.60 %------------------------------------------------------------------------------
% 0.16/0.60 % File : GEO178+2 : TPTP v8.1.2. Released v3.3.0.
% 0.16/0.60 % Domain : Geometry (Constructive)
% 0.16/0.60 % Problem : Lemma on symmetry and apartness
% 0.16/0.60 % Version : [vPl95] axioms : Reduced > Especial.
% 0.16/0.60 % English : If two points X and Y are distinct and a point Z is apart from
% 0.16/0.60 % the line connecting X and Y, then Z and X are distinct, and
% 0.16/0.60 % Z and Y are distinct.
% 0.16/0.60
% 0.16/0.60 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.16/0.60 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.16/0.60 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.16/0.60 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.16/0.60 % Source : [ILTP]
% 0.16/0.60 % Names :
% 0.16/0.60
% 0.16/0.60 % Status : Theorem
% 0.16/0.60 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.04 v5.3.0, 0.13 v5.2.0, 0.07 v5.0.0, 0.00 v3.3.0
% 0.16/0.60 % Syntax : Number of formulae : 13 ( 3 unt; 0 def)
% 0.16/0.60 % Number of atoms : 38 ( 0 equ)
% 0.16/0.60 % Maximal formula atoms : 6 ( 2 avg)
% 0.16/0.60 % Number of connectives : 28 ( 3 ~; 9 |; 4 &)
% 0.16/0.60 % ( 0 <=>; 12 =>; 0 <=; 0 <~>)
% 0.16/0.60 % Maximal formula depth : 9 ( 6 avg)
% 0.16/0.60 % Maximal term depth : 2 ( 1 avg)
% 0.16/0.60 % Number of predicates : 4 ( 4 usr; 0 prp; 2-2 aty)
% 0.16/0.60 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.16/0.60 % Number of variables : 33 ( 33 !; 0 ?)
% 0.16/0.60 % SPC : FOF_THM_RFO_NEQ
% 0.16/0.60
% 0.16/0.60 % Comments : Definitions unfolded, hence Especial.
% 0.16/0.60 %------------------------------------------------------------------------------
% 0.16/0.60 include('Axioms/GEO008+0.ax').
% 0.16/0.60 %------------------------------------------------------------------------------
% 0.16/0.60 fof(con,conjecture,
% 0.16/0.60 ! [X,Y,Z] :
% 0.16/0.60 ( ( distinct_points(X,Y)
% 0.16/0.60 & apart_point_and_line(Z,line_connecting(X,Y)) )
% 0.16/0.60 => ( distinct_points(Z,X)
% 0.16/0.60 & distinct_points(Z,Y) ) ) ).
% 0.16/0.60
% 0.16/0.60 %------------------------------------------------------------------------------
% 0.16/0.60 %-------------------------------------------
% 0.16/0.60 % Proof found
% 0.16/0.60 % SZS status Theorem for theBenchmark
% 0.16/0.60 % SZS output start Proof
% 0.16/0.61 %ClaNum:17(EqnAxiom:0)
% 0.16/0.61 %VarNum:80(SingletonVarNum:36)
% 0.16/0.61 %MaxLitNum:6
% 0.16/0.61 %MaxfuncDepth:1
% 0.16/0.61 %SharedTerms:8
% 0.16/0.61 %goalClause: 1 2 6
% 0.16/0.61 %singleGoalClaCount:2
% 0.16/0.61 [1]P1(a1,a2)
% 0.16/0.61 [2]P2(a3,f4(a1,a2))
% 0.16/0.61 [3]~P1(x31,x31)
% 0.16/0.61 [4]~P3(x41,x41)
% 0.16/0.61 [5]~P4(x51,x51)
% 0.16/0.61 [6]~P1(a3,a1)+~P1(a3,a2)
% 0.16/0.61 [7]~P4(x71,x72)+P3(x71,x72)
% 0.16/0.61 [8]~P1(x83,x81)+P1(x81,x82)+P1(x83,x82)
% 0.16/0.61 [9]~P2(x91,x93)+P1(x91,x92)+P2(x92,x93)
% 0.16/0.61 [10]~P3(x103,x101)+P3(x101,x102)+P3(x103,x102)
% 0.16/0.61 [11]~P2(x113,x111)+P3(x111,x112)+P2(x113,x112)
% 0.16/0.61 [12]~P4(x123,x121)+P4(x121,x122)+P4(x123,x122)
% 0.16/0.61 [13]~P4(x132,x133)+~P2(x131,x133)+P1(x131,f5(x132,x133))
% 0.16/0.61 [14]~P4(x142,x143)+~P2(x141,x142)+P1(x141,f5(x142,x143))
% 0.16/0.61 [15]P1(x151,x152)+~P1(x153,x152)+~P2(x151,f4(x153,x152))
% 0.16/0.61 [16]P1(x161,x162)+~P1(x162,x163)+~P2(x161,f4(x162,x163))
% 0.16/0.61 [17]P2(x174,x173)+~P1(x174,x171)+~P3(x173,x172)+P2(x171,x172)+P2(x171,x173)+P2(x174,x172)
% 0.16/0.61 %EqnAxiom
% 0.16/0.61
% 0.16/0.61 %-------------------------------------------
% 0.16/0.61 cnf(24,plain,
% 0.16/0.61 ($false),
% 0.16/0.61 inference(scs_inference,[],[1,3,2,8,16,15,6]),
% 0.16/0.61 ['proof']).
% 0.16/0.61 % SZS output end Proof
% 0.16/0.61 % Total time :0.000000s
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