TSTP Solution File: GEO253+1 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO253+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n010.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 22:44:03 EDT 2023
% Result : Theorem 0.58s 0.68s
% Output : CNFRefutation 0.58s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.13 % Problem : GEO253+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.14/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n010.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Tue Aug 29 19:44:34 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.21/0.61 start to proof:theBenchmark
% 0.58/0.67 %-------------------------------------------
% 0.58/0.67 % File :CSE---1.6
% 0.58/0.67 % Problem :theBenchmark
% 0.58/0.67 % Transform :cnf
% 0.58/0.67 % Format :tptp:raw
% 0.58/0.67 % Command :java -jar mcs_scs.jar %d %s
% 0.58/0.67
% 0.58/0.67 % Result :Theorem 0.000000s
% 0.58/0.68 % Output :CNFRefutation 0.000000s
% 0.58/0.68 %-------------------------------------------
% 0.58/0.68 %------------------------------------------------------------------------------
% 0.58/0.68 % File : GEO253+1 : TPTP v8.1.2. Bugfixed v6.4.0.
% 0.58/0.68 % Domain : Geometry (Constructive)
% 0.58/0.68 % Problem : Characteristic property of parallel lines
% 0.58/0.68 % Version : [vPl98] axioms : Especial.
% 0.58/0.68 % English :
% 0.58/0.68
% 0.58/0.68 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.58/0.68 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.58/0.68 % Source : [ILTP]
% 0.58/0.68 % Names : Corollary 5.12 [vPl98]
% 0.58/0.68
% 0.58/0.68 % Status : Theorem
% 0.58/0.68 % Rating : 0.00 v6.4.0
% 0.58/0.68 % Syntax : Number of formulae : 32 ( 7 unt; 0 def)
% 0.58/0.68 % Number of atoms : 105 ( 0 equ)
% 0.58/0.68 % Maximal formula atoms : 10 ( 3 avg)
% 0.58/0.68 % Number of connectives : 90 ( 17 ~; 24 |; 26 &)
% 0.58/0.68 % ( 5 <=>; 18 =>; 0 <=; 0 <~>)
% 0.58/0.68 % Maximal formula depth : 13 ( 6 avg)
% 0.58/0.68 % Maximal term depth : 3 ( 1 avg)
% 0.58/0.68 % Number of predicates : 12 ( 12 usr; 0 prp; 1-4 aty)
% 0.58/0.68 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.58/0.68 % Number of variables : 74 ( 74 !; 0 ?)
% 0.58/0.68 % SPC : FOF_THM_RFO_NEQ
% 0.58/0.68
% 0.58/0.68 % Comments : Definitions unfolded, hence Especial.
% 0.58/0.68 % Bugfixes : v6.4.0 - Bugfix in GEO007+1.ax
% 0.58/0.68 %------------------------------------------------------------------------------
% 0.58/0.68 include('Axioms/GEO007+0.ax').
% 0.58/0.68 %------------------------------------------------------------------------------
% 0.58/0.68 fof(con,conjecture,
% 0.58/0.68 ! [A,B,L] :
% 0.58/0.68 ( ( apart_point_and_line(A,L)
% 0.58/0.68 & ~ apart_point_and_line(B,parallel_through_point(L,A)) )
% 0.58/0.68 => apart_point_and_line(B,L) ) ).
% 0.58/0.68
% 0.58/0.68 %------------------------------------------------------------------------------
% 0.58/0.68 %-------------------------------------------
% 0.58/0.68 % Proof found
% 0.58/0.68 % SZS status Theorem for theBenchmark
% 0.58/0.68 % SZS output start Proof
% 0.58/0.68 %ClaNum:61(EqnAxiom:0)
% 0.58/0.68 %VarNum:269(SingletonVarNum:105)
% 0.58/0.68 %MaxLitNum:10
% 0.58/0.68 %MaxfuncDepth:2
% 0.58/0.68 %SharedTerms:7
% 0.58/0.68 %goalClause: 1 2 11
% 0.58/0.68 %singleGoalClaCount:3
% 0.58/0.68 [1]P1(a1,a2)
% 0.58/0.68 [2]~P1(a3,a2)
% 0.58/0.68 [11]~P1(a3,f5(a2,a1))
% 0.58/0.68 [4]~P9(x41,x41)
% 0.58/0.68 [5]~P3(x51,x51)
% 0.58/0.68 [6]~P4(x61,x61)
% 0.58/0.68 [9]~P4(x91,f4(x91))
% 0.58/0.68 [3]~P2(x31,x32)
% 0.58/0.68 [7]~P10(x71,x72)
% 0.58/0.68 [12]~P1(x121,f5(x122,x121))
% 0.58/0.68 [13]~P9(f5(x131,x132),x131)
% 0.58/0.68 [14]~P9(f6(x141,x142),f4(f6(x142,x141)))
% 0.58/0.68 [15]~P11(x151)+P11(f4(x151))
% 0.58/0.68 [17]~P5(x171,x172)+P9(x171,x172)
% 0.58/0.68 [18]~P5(x181,x182)+P9(x181,f4(x182))
% 0.58/0.68 [32]~P3(x321,x322)+~P1(x322,f6(x321,x322))
% 0.58/0.68 [33]~P3(x331,x332)+~P1(x331,f6(x331,x332))
% 0.58/0.68 [40]P3(x401,x402)+~P6(x403,x401,x402)
% 0.58/0.68 [53]~P6(x531,x532,x533)+~P9(x531,f6(x532,x533))
% 0.58/0.68 [19]~P11(x191)+~P12(x192)+P11(f5(x191,x192))
% 0.58/0.68 [27]~P1(x271,x272)+P2(x271,x272)+P2(x271,f4(x272))
% 0.58/0.68 [29]~P9(x291,x292)+P5(x291,x292)+~P9(x291,f4(x292))
% 0.58/0.68 [48]~P9(x481,x482)+~P9(x481,f4(x482))+~P1(f7(x481,x482),x482)
% 0.58/0.68 [49]~P9(x491,x492)+~P9(x491,f4(x492))+~P1(f7(x491,x492),x491)
% 0.58/0.68 [23]~P9(x233,x231)+P9(x231,x232)+P9(x233,x232)
% 0.58/0.68 [25]~P3(x253,x251)+P3(x251,x252)+P3(x253,x252)
% 0.58/0.68 [26]~P4(x263,x261)+P4(x261,x262)+P4(x263,x262)
% 0.58/0.68 [45]~P8(x452,x451,x453)+P2(x451,x452)+P2(x453,x452)
% 0.58/0.68 [50]P2(x501,x502)+~P8(x502,x503,x501)+P2(x501,f4(x502))
% 0.58/0.68 [51]P2(x511,x512)+~P8(x512,x511,x513)+P2(x511,f4(x512))
% 0.58/0.68 [52]~P8(x522,x523,x521)+P2(x521,f4(x522))+P2(x523,f4(x522))
% 0.58/0.68 [56]~P6(x561,x563,x562)+~P6(x561,x564,x563)+P7(x561,x562,x563,x564)
% 0.58/0.68 [57]~P6(x571,x573,x574)+~P6(x571,x572,x573)+P7(x571,x572,x573,x574)
% 0.58/0.68 [58]~P7(x581,x582,x583,x584)+P6(x581,x582,x583)+P6(x581,x584,x583)
% 0.58/0.68 [59]P6(x591,x593,x592)+P6(x591,x592,x593)+~P7(x591,x594,x592,x593)
% 0.58/0.68 [60]P6(x601,x603,x602)+P6(x601,x602,x603)+~P7(x601,x602,x603,x604)
% 0.58/0.68 [61]~P7(x611,x614,x612,x613)+P6(x611,x612,x613)+P6(x611,x612,x614)
% 0.58/0.68 [21]~P11(x212)+~P11(x211)+P9(x211,x212)+P9(x211,f4(x212))
% 0.58/0.68 [28]~P12(x282)+~P12(x281)+~P3(x281,x282)+P11(f6(x281,x282))
% 0.58/0.68 [36]~P9(x361,x362)+P10(x361,x362)+P10(x361,f4(x362))+~P9(x361,f4(x362))
% 0.58/0.68 [34]~P9(x341,x343)+P9(x341,x342)+~P9(x341,f4(x343))+P9(x343,f4(x342))
% 0.58/0.68 [35]~P9(x353,x351)+P9(x351,x352)+~P9(x353,f4(x351))+P9(x353,f4(x352))
% 0.58/0.68 [38]~P11(x382)+~P11(x381)+~P9(x381,x382)+~P9(x381,f4(x382))+P12(f7(x381,x382))
% 0.58/0.68 [55]P6(x552,x553,x551)+~P3(x553,x551)+P2(x551,x552)+P2(x553,x552)+P2(x551,f4(x552))+P2(x553,f4(x552))+P9(x552,f6(x553,x551))
% 0.58/0.68 [54]P2(x544,x543)+~P3(x544,x541)+~P4(x543,x542)+P2(x541,x542)+P2(x541,x543)+P2(x544,x542)+P2(x541,f4(x542))+P2(x541,f4(x543))+P2(x544,f4(x542))+P2(x544,f4(x543))
% 0.58/0.68 %EqnAxiom
% 0.58/0.68
% 0.58/0.68 %-------------------------------------------
% 0.58/0.68 cnf(73,plain,
% 0.58/0.68 (P2(a1,a2)),
% 0.58/0.68 inference(scs_inference,[],[1,4,5,3,40,17,18,61,60,59,27])).
% 0.58/0.68 cnf(91,plain,
% 0.58/0.68 ($false),
% 0.58/0.68 inference(scs_inference,[],[73,3]),
% 0.58/0.68 ['proof']).
% 0.58/0.68 % SZS output end Proof
% 0.58/0.68 % Total time :0.000000s
%------------------------------------------------------------------------------