%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO209+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% Computer : n018.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 : Mon Jun 24 06:04:34 EDT 2024
% Result : Theorem 0.49s 0.60s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : GEO209+3 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %d %s
% 0.10/0.31 % Computer : n018.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Fri Jun 21 10:10:08 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.49/0.55 start to proof:theBenchmark
% 0.49/0.60 %-------------------------------------------
% 0.49/0.60 % File :CSE---1.7
% 0.49/0.60 % Problem :theBenchmark
% 0.49/0.60 % Transform :cnf
% 0.49/0.60 % Format :tptp:raw
% 0.49/0.60 % Command :java -jar mcs_scs.jar %d %s
% 0.49/0.60
% 0.49/0.60 % Result :Theorem 0.000000s
% 0.49/0.60 % Output :CNFRefutation 0.000000s
% 0.49/0.60 %-------------------------------------------
% 0.49/0.60 %------------------------------------------------------------------------------
% 0.49/0.60 % File : GEO209+3 : TPTP v8.2.0. Released v4.0.0.
% 0.49/0.60 % Domain : Geometry (Constructive)
% 0.49/0.60 % Problem : Pont and three parallel lines
% 0.49/0.60 % Version : [vPl95] axioms.
% 0.49/0.60 % English : If the point A is apart from the line L, but incident with the
% 0.49/0.60 % lines M and N, and L is parallel to M and N, then M and N are
% 0.49/0.60 % equal.
% 0.49/0.60
% 0.49/0.60 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.49/0.60 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.49/0.60 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.49/0.60 % Source : [Rat07]
% 0.49/0.60 % Names : Theorem 7.4 [vPl95]
% 0.49/0.60
% 0.49/0.60 % Status : Theorem
% 0.49/0.60 % 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, 0.13 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v4.0.0
% 0.49/0.60 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.49/0.60 % Number of atoms : 99 ( 0 equ)
% 0.49/0.60 % Maximal formula atoms : 6 ( 2 avg)
% 0.49/0.60 % Number of connectives : 91 ( 28 ~; 19 |; 17 &)
% 0.49/0.60 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.49/0.60 % Maximal formula depth : 10 ( 6 avg)
% 0.49/0.60 % Maximal term depth : 2 ( 1 avg)
% 0.49/0.60 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.49/0.60 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.49/0.60 % Number of variables : 85 ( 85 !; 0 ?)
% 0.49/0.60 % SPC : FOF_THM_RFO_NEQ
% 0.49/0.60
% 0.49/0.60 % Comments :
% 0.49/0.60 %------------------------------------------------------------------------------
% 0.49/0.60 include('Axioms/GEO006+0.ax').
% 0.49/0.60 include('Axioms/GEO006+1.ax').
% 0.49/0.60 include('Axioms/GEO006+2.ax').
% 0.49/0.60 include('Axioms/GEO006+3.ax').
% 0.49/0.60 include('Axioms/GEO006+4.ax').
% 0.49/0.60 include('Axioms/GEO006+5.ax').
% 0.49/0.60 include('Axioms/GEO006+6.ax').
% 0.49/0.60 %------------------------------------------------------------------------------
% 0.49/0.60 fof(con,conjecture,
% 0.49/0.60 ! [A,L,M,N] :
% 0.49/0.60 ( ( apart_point_and_line(A,L)
% 0.49/0.60 & incident_point_and_line(A,M)
% 0.49/0.60 & incident_point_and_line(A,N)
% 0.49/0.60 & parallel_lines(M,L)
% 0.49/0.60 & parallel_lines(N,L) )
% 0.49/0.60 => equal_lines(M,N) ) ).
% 0.49/0.60
% 0.49/0.60 %------------------------------------------------------------------------------
% 0.49/0.60 %-------------------------------------------
% 0.49/0.60 % Proof found
% 0.49/0.60 % SZS status Theorem for theBenchmark
% 0.49/0.60 % SZS output start Proof
% 0.49/0.61 %ClaNum:52(EqnAxiom:0)
% 0.49/0.61 %VarNum:218(SingletonVarNum:98)
% 0.49/0.61 %MaxLitNum:6
% 0.49/0.61 %MaxfuncDepth:1
% 0.49/0.61 %SharedTerms:10
% 0.49/0.61 %goalClause: 1 2 3 4 5 6
% 0.49/0.61 %singleGoalClaCount:6
% 0.49/0.61 [1]P1(a1,a2)
% 0.49/0.61 [2]P2(a3,a2)
% 0.49/0.61 [3]P2(a4,a2)
% 0.49/0.61 [4]P3(a1,a3)
% 0.49/0.61 [5]P3(a1,a4)
% 0.49/0.61 [6]~P4(a3,a4)
% 0.49/0.61 [7]~P5(x71,x71)
% 0.49/0.61 [8]~P6(x81,x81)
% 0.49/0.61 [9]~P7(x91,x91)
% 0.49/0.61 [10]~P1(x101,f5(x102,x101))
% 0.49/0.61 [11]~P1(x111,f6(x112,x111))
% 0.49/0.61 [12]~P7(f5(x121,x122),x121)
% 0.49/0.61 [13]~P11(f6(x131,x132),x131)
% 0.49/0.61 [14]P8(x141,x142)+P5(x141,x142)
% 0.49/0.61 [15]P4(x151,x152)+P6(x151,x152)
% 0.49/0.61 [17]P11(x171,x172)+P7(x171,x172)
% 0.49/0.61 [18]P2(x181,x182)+P7(x181,x182)
% 0.49/0.61 [19]P3(x191,x192)+P1(x191,x192)
% 0.49/0.61 [20]P9(x201,x202)+P11(x201,x202)
% 0.49/0.61 [21]~P6(x211,x212)+P7(x211,x212)
% 0.49/0.61 [24]~P8(x241,x242)+~P5(x241,x242)
% 0.49/0.61 [25]~P4(x251,x252)+~P6(x251,x252)
% 0.49/0.61 [26]~P2(x261,x262)+~P7(x261,x262)
% 0.49/0.61 [27]~P3(x271,x272)+~P1(x271,x272)
% 0.49/0.61 [28]~P9(x281,x282)+~P11(x281,x282)
% 0.49/0.61 [48]~P5(x481,x482)+~P1(x482,f8(x481,x482))
% 0.49/0.61 [49]~P5(x491,x492)+~P1(x491,f8(x491,x492))
% 0.49/0.61 [50]~P7(x501,x502)+~P1(f7(x501,x502),x502)
% 0.49/0.61 [51]~P7(x511,x512)+~P1(f7(x511,x512),x511)
% 0.49/0.61 [22]~P12(x222)+~P10(x221)+P10(f5(x221,x222))
% 0.49/0.61 [23]~P12(x232)+~P10(x231)+P10(f6(x231,x232))
% 0.49/0.61 [29]~P5(x293,x291)+P5(x291,x292)+P5(x293,x292)
% 0.49/0.61 [30]~P1(x301,x303)+P5(x301,x302)+P1(x302,x303)
% 0.49/0.61 [31]~P6(x313,x311)+P6(x311,x312)+P6(x313,x312)
% 0.49/0.61 [32]~P7(x323,x321)+P6(x321,x322)+P7(x323,x322)
% 0.49/0.61 [33]~P1(x333,x331)+P6(x331,x332)+P1(x333,x332)
% 0.49/0.61 [34]~P7(x343,x341)+P7(x341,x342)+P7(x343,x342)
% 0.49/0.61 [35]~P7(x353,x352)+P11(x351,x352)+P11(x351,x353)
% 0.49/0.61 [37]~P10(x372)+~P10(x371)+~P7(x371,x372)+P12(f7(x371,x372))
% 0.49/0.61 [38]~P12(x382)+~P12(x381)+~P5(x381,x382)+P10(f8(x381,x382))
% 0.49/0.61 [40]~P7(x401,x403)+~P11(x401,x403)+P7(x401,x402)+P11(x403,x402)
% 0.49/0.61 [41]~P7(x412,x413)+~P11(x412,x413)+P7(x411,x412)+P7(x411,x413)
% 0.49/0.61 [42]~P7(x422,x423)+~P11(x422,x423)+P7(x421,x422)+P11(x421,x423)
% 0.49/0.61 [43]~P7(x433,x431)+~P11(x433,x431)+P7(x431,x432)+P11(x433,x432)
% 0.49/0.61 [44]~P7(x443,x442)+~P11(x443,x442)+P7(x441,x442)+P11(x441,x443)
% 0.49/0.61 [45]~P7(x451,x453)+~P11(x451,x453)+P11(x451,x452)+P11(x453,x452)
% 0.49/0.61 [47]P11(x473,x474)+~P6(x473,x472)+P1(x471,x472)+P1(x471,x473)+P11(x472,x474)
% 0.49/0.61 [52]P1(x524,x523)+~P5(x524,x521)+~P6(x523,x522)+P1(x521,x522)+P1(x521,x523)+P1(x524,x522)
% 0.49/0.61 %EqnAxiom
% 0.49/0.61
% 0.49/0.61 %-------------------------------------------
% 0.49/0.61 cnf(74,plain,
% 0.49/0.61 ($false),
% 0.49/0.61 inference(scs_inference,[],[1,7,8,10,9,12,13,27,15,19,17,18,21,14,20,28,33,31]),
% 0.49/0.61 ['proof']).
% 0.49/0.61 % SZS output end Proof
% 0.49/0.61 % Total time :0.000000s
%------------------------------------------------------------------------------