TSTP Solution File: GEO216+2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO216+2 : 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 : 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 22:43:46 EDT 2023
% Result : Theorem 0.19s 0.62s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GEO216+2 : TPTP v8.1.2. Released v3.3.0.
% 0.11/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n012.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % 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 21:09:38 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.56 start to proof:theBenchmark
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 % File :CSE---1.6
% 0.19/0.61 % Problem :theBenchmark
% 0.19/0.61 % Transform :cnf
% 0.19/0.61 % Format :tptp:raw
% 0.19/0.61 % Command :java -jar mcs_scs.jar %d %s
% 0.19/0.61
% 0.19/0.61 % Result :Theorem 0.000000s
% 0.19/0.61 % Output :CNFRefutation 0.000000s
% 0.19/0.61 %-------------------------------------------
% 0.19/0.61 %------------------------------------------------------------------------------
% 0.19/0.61 % File : GEO216+2 : TPTP v8.1.2. Released v3.3.0.
% 0.19/0.61 % Domain : Geometry (Constructive)
% 0.19/0.61 % Problem : A line is not orthogonal to itself
% 0.19/0.61 % Version : [vPl95] axioms : Reduced > Especial.
% 0.19/0.61 % English : A Line is not orthogonal to itself.
% 0.19/0.61
% 0.19/0.61 % Refs : [P95] J. von Plato. The Axioms of Constructive Geometry. Annals
% 0.19/0.61 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.19/0.61 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.19/0.61 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.19/0.61 % of Pure and Applied Logic 76 (2): 169-200, 1995.
% 0.19/0.61 % Source : [P95]
% 0.19/0.61 % Names :
% 0.19/0.61
% 0.19/0.61 % Status : Theorem
% 0.19/0.61 % 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
% 0.19/0.61 % Syntax : Number of formulae : 16 ( 4 unt; 0 def)
% 0.19/0.61 % Number of atoms : 46 ( 0 equ)
% 0.19/0.61 % Maximal formula atoms : 6 ( 2 avg)
% 0.19/0.61 % Number of connectives : 47 ( 17 ~; 12 |; 5 &)
% 0.19/0.61 % ( 0 <=>; 13 =>; 0 <=; 0 <~>)
% 0.19/0.61 % Maximal formula depth : 9 ( 6 avg)
% 0.19/0.61 % Maximal term depth : 2 ( 1 avg)
% 0.19/0.61 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 0.19/0.61 % Number of functors : 2 ( 2 usr; 0 con; 2-2 aty)
% 0.19/0.61 % Number of variables : 39 ( 39 !; 0 ?)
% 0.19/0.62 % SPC : FOF_THM_RFO_NEQ
% 0.19/0.62
% 0.19/0.62 % Comments : Definitions unfolded, hence Especial.
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 include('Axioms/GEO008+0.ax').
% 0.19/0.62 include('Axioms/GEO006+4.ax').
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 fof(con,conjecture,
% 0.19/0.62 ! [L] :
% 0.19/0.62 ~ ~ unorthogonal_lines(L,L) ).
% 0.19/0.62
% 0.19/0.62 %------------------------------------------------------------------------------
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 % Proof found
% 0.19/0.62 % SZS status Theorem for theBenchmark
% 0.19/0.62 % SZS output start Proof
% 0.19/0.62 %ClaNum:21(EqnAxiom:0)
% 0.19/0.62 %VarNum:114(SingletonVarNum:50)
% 0.19/0.62 %MaxLitNum:6
% 0.19/0.62 %MaxfuncDepth:1
% 0.19/0.62 %SharedTerms:2
% 0.19/0.62 %goalClause: 1
% 0.19/0.62 %singleGoalClaCount:1
% 0.19/0.62 [1]~P1(a1,a1)
% 0.19/0.62 [2]~P2(x21,x21)
% 0.19/0.62 [3]~P3(x31,x31)
% 0.19/0.62 [4]~P4(x41,x41)
% 0.19/0.62 [5]P1(x51,x52)+P4(x51,x52)
% 0.19/0.62 [6]~P4(x61,x62)+P3(x61,x62)
% 0.19/0.62 [7]~P2(x73,x71)+P2(x71,x72)+P2(x73,x72)
% 0.19/0.62 [8]~P5(x81,x83)+P2(x81,x82)+P5(x82,x83)
% 0.19/0.62 [9]~P3(x93,x91)+P3(x91,x92)+P3(x93,x92)
% 0.19/0.62 [10]~P5(x103,x101)+P3(x101,x102)+P5(x103,x102)
% 0.19/0.62 [11]~P4(x113,x111)+P4(x111,x112)+P4(x113,x112)
% 0.19/0.62 [12]~P4(x123,x122)+P1(x121,x122)+P1(x121,x123)
% 0.19/0.62 [17]~P4(x172,x173)+~P5(x171,x173)+P2(x171,f2(x172,x173))
% 0.19/0.62 [18]~P4(x182,x183)+~P5(x181,x182)+P2(x181,f2(x182,x183))
% 0.19/0.62 [19]P2(x191,x192)+~P2(x193,x192)+~P5(x191,f3(x193,x192))
% 0.19/0.62 [20]P2(x201,x202)+~P2(x202,x203)+~P5(x201,f3(x202,x203))
% 0.19/0.62 [13]~P4(x132,x133)+~P1(x132,x133)+P4(x131,x132)+P4(x131,x133)
% 0.19/0.62 [14]~P4(x142,x143)+~P1(x142,x143)+P4(x141,x142)+P1(x141,x143)
% 0.19/0.62 [15]~P4(x153,x152)+~P1(x153,x152)+P4(x151,x152)+P1(x151,x153)
% 0.19/0.62 [21]P5(x214,x213)+~P2(x214,x211)+~P3(x213,x212)+P5(x211,x212)+P5(x211,x213)+P5(x214,x212)
% 0.19/0.62 %EqnAxiom
% 0.19/0.62
% 0.19/0.62 %-------------------------------------------
% 0.19/0.62 cnf(22,plain,
% 0.19/0.62 ($false),
% 0.19/0.62 inference(scs_inference,[],[1,4,5]),
% 0.19/0.62 ['proof']).
% 0.19/0.62 % SZS output end Proof
% 0.19/0.62 % Total time :0.000000s
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