TSTP Solution File: GEO216+3 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO216+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 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 : Wed Aug 30 22:43:46 EDT 2023
% Result : Theorem 0.14s 0.53s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GEO216+3 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.10 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Tue Aug 29 20:00:47 EDT 2023
% 0.09/0.29 % CPUTime :
% 0.14/0.49 start to proof:theBenchmark
% 0.14/0.52 %-------------------------------------------
% 0.14/0.52 % File :CSE---1.6
% 0.14/0.52 % Problem :theBenchmark
% 0.14/0.52 % Transform :cnf
% 0.14/0.52 % Format :tptp:raw
% 0.14/0.52 % Command :java -jar mcs_scs.jar %d %s
% 0.14/0.52
% 0.14/0.52 % Result :Theorem 0.000000s
% 0.14/0.52 % Output :CNFRefutation 0.000000s
% 0.14/0.52 %-------------------------------------------
% 0.14/0.53 %------------------------------------------------------------------------------
% 0.14/0.53 % File : GEO216+3 : TPTP v8.1.2. Released v4.0.0.
% 0.14/0.53 % Domain : Geometry (Constructive)
% 0.14/0.53 % Problem : A line is not orthogonal to itself
% 0.14/0.53 % Version : [vPl95] axioms.
% 0.14/0.53 % English :
% 0.14/0.53
% 0.14/0.53 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.14/0.53 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.14/0.53 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.14/0.53 % Source : [Rat07]
% 0.14/0.53 % Names : Theorem 8.7.o [vPl95]
% 0.14/0.53
% 0.14/0.53 % Status : Theorem
% 0.14/0.53 % 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 v4.0.0
% 0.14/0.53 % Syntax : Number of formulae : 36 ( 8 unt; 0 def)
% 0.14/0.53 % Number of atoms : 94 ( 0 equ)
% 0.14/0.53 % Maximal formula atoms : 6 ( 2 avg)
% 0.14/0.53 % Number of connectives : 87 ( 29 ~; 19 |; 13 &)
% 0.14/0.53 % ( 5 <=>; 21 =>; 0 <=; 0 <~>)
% 0.14/0.53 % Maximal formula depth : 9 ( 5 avg)
% 0.14/0.53 % Maximal term depth : 2 ( 1 avg)
% 0.14/0.53 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.14/0.53 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.14/0.53 % Number of variables : 82 ( 82 !; 0 ?)
% 0.14/0.53 % SPC : FOF_THM_RFO_NEQ
% 0.14/0.53
% 0.14/0.53 % Comments :
% 0.14/0.53 %------------------------------------------------------------------------------
% 0.14/0.53 include('Axioms/GEO006+0.ax').
% 0.14/0.53 include('Axioms/GEO006+1.ax').
% 0.14/0.53 include('Axioms/GEO006+2.ax').
% 0.14/0.53 include('Axioms/GEO006+3.ax').
% 0.14/0.53 include('Axioms/GEO006+4.ax').
% 0.14/0.53 include('Axioms/GEO006+5.ax').
% 0.14/0.53 include('Axioms/GEO006+6.ax').
% 0.14/0.53 %------------------------------------------------------------------------------
% 0.14/0.53 fof(con,conjecture,
% 0.14/0.53 ! [L] : ~ orthogonal_lines(L,L) ).
% 0.14/0.53
% 0.14/0.53 %------------------------------------------------------------------------------
% 0.14/0.53 %-------------------------------------------
% 0.14/0.53 % Proof found
% 0.14/0.53 % SZS status Theorem for theBenchmark
% 0.14/0.53 % SZS output start Proof
% 0.14/0.53 %ClaNum:47(EqnAxiom:0)
% 0.14/0.53 %VarNum:218(SingletonVarNum:98)
% 0.14/0.53 %MaxLitNum:6
% 0.14/0.53 %MaxfuncDepth:1
% 0.14/0.53 %SharedTerms:2
% 0.14/0.53 %goalClause: 1
% 0.14/0.53 %singleGoalClaCount:1
% 0.14/0.53 [1]P1(a1,a1)
% 0.14/0.53 [2]~P2(x21,x21)
% 0.14/0.53 [3]~P3(x31,x31)
% 0.14/0.53 [4]~P4(x41,x41)
% 0.14/0.53 [5]~P5(x51,f2(x52,x51))
% 0.14/0.53 [6]~P5(x61,f3(x62,x61))
% 0.14/0.53 [7]~P4(f2(x71,x72),x71)
% 0.14/0.53 [8]~P10(f3(x81,x82),x81)
% 0.14/0.53 [9]P6(x91,x92)+P2(x91,x92)
% 0.14/0.53 [10]P7(x101,x102)+P3(x101,x102)
% 0.14/0.53 [12]P10(x121,x122)+P4(x121,x122)
% 0.14/0.53 [13]P11(x131,x132)+P4(x131,x132)
% 0.14/0.53 [14]P8(x141,x142)+P5(x141,x142)
% 0.14/0.53 [15]P1(x151,x152)+P10(x151,x152)
% 0.14/0.53 [16]~P3(x161,x162)+P4(x161,x162)
% 0.14/0.53 [19]~P6(x191,x192)+~P2(x191,x192)
% 0.14/0.53 [20]~P7(x201,x202)+~P3(x201,x202)
% 0.14/0.53 [21]~P11(x211,x212)+~P4(x211,x212)
% 0.14/0.53 [22]~P8(x221,x222)+~P5(x221,x222)
% 0.14/0.53 [23]~P1(x231,x232)+~P10(x231,x232)
% 0.14/0.53 [43]~P2(x431,x432)+~P5(x432,f5(x431,x432))
% 0.14/0.53 [44]~P2(x441,x442)+~P5(x441,f5(x441,x442))
% 0.14/0.53 [45]~P4(x451,x452)+~P5(f4(x451,x452),x452)
% 0.14/0.53 [46]~P4(x461,x462)+~P5(f4(x461,x462),x461)
% 0.14/0.53 [17]~P12(x172)+~P9(x171)+P9(f2(x171,x172))
% 0.14/0.53 [18]~P12(x182)+~P9(x181)+P9(f3(x181,x182))
% 0.14/0.53 [24]~P2(x243,x241)+P2(x241,x242)+P2(x243,x242)
% 0.14/0.53 [25]~P5(x251,x253)+P2(x251,x252)+P5(x252,x253)
% 0.14/0.53 [26]~P3(x263,x261)+P3(x261,x262)+P3(x263,x262)
% 0.14/0.53 [27]~P4(x273,x271)+P3(x271,x272)+P4(x273,x272)
% 0.14/0.53 [28]~P5(x283,x281)+P3(x281,x282)+P5(x283,x282)
% 0.14/0.53 [29]~P4(x293,x291)+P4(x291,x292)+P4(x293,x292)
% 0.14/0.53 [30]~P4(x303,x302)+P10(x301,x302)+P10(x301,x303)
% 0.14/0.53 [32]~P9(x322)+~P9(x321)+~P4(x321,x322)+P12(f4(x321,x322))
% 0.14/0.53 [33]~P12(x332)+~P12(x331)+~P2(x331,x332)+P9(f5(x331,x332))
% 0.14/0.53 [35]~P4(x351,x353)+~P10(x351,x353)+P4(x351,x352)+P10(x353,x352)
% 0.14/0.53 [36]~P4(x362,x363)+~P10(x362,x363)+P4(x361,x362)+P4(x361,x363)
% 0.14/0.53 [37]~P4(x372,x373)+~P10(x372,x373)+P4(x371,x372)+P10(x371,x373)
% 0.14/0.53 [38]~P4(x383,x381)+~P10(x383,x381)+P4(x381,x382)+P10(x383,x382)
% 0.14/0.53 [39]~P4(x393,x392)+~P10(x393,x392)+P4(x391,x392)+P10(x391,x393)
% 0.14/0.53 [40]~P4(x401,x403)+~P10(x401,x403)+P10(x401,x402)+P10(x403,x402)
% 0.14/0.53 [42]P10(x423,x424)+~P3(x423,x422)+P5(x421,x422)+P5(x421,x423)+P10(x422,x424)
% 0.14/0.53 [47]P5(x474,x473)+~P2(x474,x471)+~P3(x473,x472)+P5(x471,x472)+P5(x471,x473)+P5(x474,x472)
% 0.14/0.53 %EqnAxiom
% 0.14/0.53
% 0.14/0.53 %-------------------------------------------
% 0.14/0.53 cnf(60,plain,
% 0.14/0.53 ($false),
% 0.14/0.53 inference(scs_inference,[],[1,2,3,4,5,7,8,16,15,14,13,12,10,9,23]),
% 0.14/0.53 ['proof']).
% 0.14/0.53 % SZS output end Proof
% 0.14/0.53 % Total time :0.000000s
%------------------------------------------------------------------------------