%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO200+3 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n024.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 06:04:28 EDT 2024
% Result : Theorem 58.53s 58.66s
% Output : CNFRefutation 58.62s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GEO200+3 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.11/0.32 % Computer : n024.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Jun 21 07:25:09 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.46/0.56 start to proof:theBenchmark
% 58.53/58.64 %-------------------------------------------
% 58.53/58.64 % File :CSE---1.7
% 58.53/58.64 % Problem :theBenchmark
% 58.53/58.64 % Transform :cnf
% 58.53/58.64 % Format :tptp:raw
% 58.53/58.64 % Command :java -jar mcs_scs.jar %d %s
% 58.53/58.64
% 58.53/58.64 % Result :Theorem 58.030000s
% 58.53/58.64 % Output :CNFRefutation 58.030000s
% 58.53/58.64 %-------------------------------------------
% 58.53/58.66 %------------------------------------------------------------------------------
% 58.53/58.66 % File : GEO200+3 : TPTP v8.2.0. Released v4.0.0.
% 58.53/58.66 % Domain : Geometry (Constructive)
% 58.53/58.66 % Problem : Line equals its converse
% 58.53/58.66 % Version : [vPl95] axioms.
% 58.53/58.66 % English : If the points X and Y are distinct, then the line connecting
% 58.53/58.66 % X and Y is equal to the line connecting Y and X.
% 58.53/58.66
% 58.53/58.66 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 58.53/58.66 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 58.53/58.66 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 58.53/58.66 % Source : [Rat07]
% 58.53/58.66 % Names : Theorem 5.1 [vPl95]
% 58.53/58.66
% 58.53/58.66 % Status : Theorem
% 58.53/58.66 % Rating : 0.00 v6.1.0, 0.04 v6.0.0, 0.25 v5.5.0, 0.12 v5.4.0, 0.13 v5.3.0, 0.22 v5.2.0, 0.21 v5.0.0, 0.15 v4.1.0, 0.11 v4.0.0
% 58.53/58.66 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 58.53/58.66 % Number of atoms : 95 ( 0 equ)
% 58.53/58.66 % Maximal formula atoms : 6 ( 2 avg)
% 58.53/58.66 % Number of connectives : 87 ( 28 ~; 19 |; 13 &)
% 58.53/58.66 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 58.53/58.66 % Maximal formula depth : 9 ( 5 avg)
% 58.53/58.66 % Maximal term depth : 2 ( 1 avg)
% 58.53/58.66 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 58.53/58.66 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 58.53/58.66 % Number of variables : 83 ( 83 !; 0 ?)
% 58.53/58.66 % SPC : FOF_THM_RFO_NEQ
% 58.53/58.66
% 58.53/58.66 % Comments :
% 58.53/58.66 %------------------------------------------------------------------------------
% 58.53/58.66 include('Axioms/GEO006+0.ax').
% 58.53/58.66 include('Axioms/GEO006+1.ax').
% 58.53/58.66 include('Axioms/GEO006+2.ax').
% 58.53/58.66 include('Axioms/GEO006+3.ax').
% 58.53/58.66 include('Axioms/GEO006+4.ax').
% 58.53/58.66 include('Axioms/GEO006+5.ax').
% 58.53/58.66 include('Axioms/GEO006+6.ax').
% 58.53/58.66 %------------------------------------------------------------------------------
% 58.53/58.66 fof(con,conjecture,
% 58.53/58.66 ! [X,Y] :
% 58.53/58.66 ( distinct_points(X,Y)
% 58.53/58.66 => equal_lines(line_connecting(X,Y),line_connecting(Y,X)) ) ).
% 58.53/58.66
% 58.53/58.66 %------------------------------------------------------------------------------
% 58.53/58.66 %-------------------------------------------
% 58.53/58.66 % Proof found
% 58.53/58.66 % SZS status Theorem for theBenchmark
% 58.53/58.66 % SZS output start Proof
% 58.62/58.67 %ClaNum:48(EqnAxiom:0)
% 58.62/58.67 %VarNum:218(SingletonVarNum:98)
% 58.62/58.67 %MaxLitNum:6
% 58.62/58.67 %MaxfuncDepth:1
% 58.62/58.67 %SharedTerms:6
% 58.62/58.67 %goalClause: 1 9
% 58.62/58.67 %singleGoalClaCount:2
% 58.62/58.67 [1]P1(a1,a2)
% 58.62/58.67 [9]~P6(f5(a1,a2),f5(a2,a1))
% 58.62/58.67 [2]~P1(x21,x21)
% 58.62/58.67 [3]~P2(x31,x31)
% 58.62/58.67 [4]~P3(x41,x41)
% 58.62/58.67 [5]~P4(x51,f3(x52,x51))
% 58.62/58.67 [6]~P4(x61,f4(x62,x61))
% 58.62/58.67 [7]~P3(f3(x71,x72),x71)
% 58.62/58.67 [8]~P5(f4(x81,x82),x81)
% 58.62/58.67 [10]P7(x101,x102)+P1(x101,x102)
% 58.62/58.67 [11]P6(x111,x112)+P2(x111,x112)
% 58.62/58.67 [13]P5(x131,x132)+P3(x131,x132)
% 58.62/58.67 [14]P8(x141,x142)+P3(x141,x142)
% 58.62/58.67 [15]P9(x151,x152)+P4(x151,x152)
% 58.62/58.67 [16]P10(x161,x162)+P5(x161,x162)
% 58.62/58.67 [17]~P2(x171,x172)+P3(x171,x172)
% 58.62/58.67 [20]~P7(x201,x202)+~P1(x201,x202)
% 58.62/58.67 [21]~P6(x211,x212)+~P2(x211,x212)
% 58.62/58.67 [22]~P8(x221,x222)+~P3(x221,x222)
% 58.62/58.67 [23]~P9(x231,x232)+~P4(x231,x232)
% 58.62/58.67 [24]~P10(x241,x242)+~P5(x241,x242)
% 58.62/58.67 [44]~P1(x441,x442)+~P4(x442,f5(x441,x442))
% 58.62/58.67 [45]~P1(x451,x452)+~P4(x451,f5(x451,x452))
% 58.62/58.67 [46]~P3(x461,x462)+~P4(f6(x461,x462),x462)
% 58.62/58.67 [47]~P3(x471,x472)+~P4(f6(x471,x472),x471)
% 58.62/58.67 [18]~P12(x182)+~P11(x181)+P11(f3(x181,x182))
% 58.62/58.67 [19]~P12(x192)+~P11(x191)+P11(f4(x191,x192))
% 58.62/58.67 [25]~P1(x253,x251)+P1(x251,x252)+P1(x253,x252)
% 58.62/58.67 [26]~P4(x261,x263)+P1(x261,x262)+P4(x262,x263)
% 58.62/58.67 [27]~P2(x273,x271)+P2(x271,x272)+P2(x273,x272)
% 58.62/58.67 [28]~P3(x283,x281)+P2(x281,x282)+P3(x283,x282)
% 58.62/58.67 [29]~P4(x293,x291)+P2(x291,x292)+P4(x293,x292)
% 58.62/58.67 [30]~P3(x303,x301)+P3(x301,x302)+P3(x303,x302)
% 58.62/58.67 [31]~P3(x313,x312)+P5(x311,x312)+P5(x311,x313)
% 58.62/58.67 [33]~P11(x332)+~P11(x331)+~P3(x331,x332)+P12(f6(x331,x332))
% 58.62/58.67 [34]~P12(x342)+~P12(x341)+~P1(x341,x342)+P11(f5(x341,x342))
% 58.62/58.67 [36]~P3(x361,x363)+~P5(x361,x363)+P3(x361,x362)+P5(x363,x362)
% 58.62/58.67 [37]~P3(x372,x373)+~P5(x372,x373)+P3(x371,x372)+P3(x371,x373)
% 58.62/58.67 [38]~P3(x382,x383)+~P5(x382,x383)+P3(x381,x382)+P5(x381,x383)
% 58.62/58.67 [39]~P3(x393,x391)+~P5(x393,x391)+P3(x391,x392)+P5(x393,x392)
% 58.62/58.67 [40]~P3(x403,x402)+~P5(x403,x402)+P3(x401,x402)+P5(x401,x403)
% 58.62/58.67 [41]~P3(x411,x413)+~P5(x411,x413)+P5(x411,x412)+P5(x413,x412)
% 58.62/58.67 [43]P5(x433,x434)+~P2(x433,x432)+P4(x431,x432)+P4(x431,x433)+P5(x432,x434)
% 58.62/58.67 [48]P4(x484,x483)+~P1(x484,x481)+~P2(x483,x482)+P4(x481,x482)+P4(x481,x483)+P4(x484,x482)
% 58.62/58.67 %EqnAxiom
% 58.62/58.67
% 58.62/58.67 %-------------------------------------------
% 58.62/58.69 cnf(57,plain,
% 58.62/58.69 (~P2(f3(x571,x572),x571)),
% 58.62/58.69 inference(scs_inference,[],[1,2,3,5,7,20,10,11,15,17])).
% 58.62/58.69 cnf(65,plain,
% 58.62/58.69 (P1(a2,a1)),
% 58.62/58.69 inference(scs_inference,[],[1,2,3,5,8,4,7,20,10,11,15,17,13,14,16,25])).
% 58.62/58.69 cnf(86,plain,
% 58.62/58.69 (~P3(x861,f3(x861,x862))),
% 58.62/58.69 inference(scs_inference,[],[65,6,57,7,4,14,15,11,20,13,30])).
% 58.62/58.69 cnf(91,plain,
% 58.62/58.69 (~P2(x911,f3(x911,x912))),
% 58.62/58.69 inference(scs_inference,[],[65,6,57,7,4,14,15,11,20,13,30,24,17])).
% 58.62/58.69 cnf(1870,plain,
% 58.62/58.69 (~P3(f3(x18701,x18702),f3(x18701,x18703))),
% 58.62/58.69 inference(scs_inference,[],[57,7,28])).
% 58.62/58.69 cnf(1903,plain,
% 58.62/58.69 (~P2(f3(x19031,x19032),x19031)),
% 58.62/58.69 inference(rename_variables,[],[57])).
% 58.62/58.69 cnf(1905,plain,
% 58.62/58.69 (~P3(f3(x19051,x19052),f3(f3(x19051,x19053),x19054))),
% 58.62/58.69 inference(scs_inference,[],[57,1903,5,1870,14,17,11,13,24,29,28])).
% 58.62/58.69 cnf(1921,plain,
% 58.62/58.69 (~P2(f3(x19211,x19212),f3(f3(x19211,x19213),x19214))),
% 58.62/58.69 inference(scs_inference,[],[1905,17])).
% 58.62/58.69 cnf(5806,plain,
% 58.62/58.69 (~P4(x58061,x58062)),
% 58.62/58.69 inference(scs_inference,[],[91,5,29])).
% 58.62/58.69 cnf(7469,plain,
% 58.62/58.69 (P2(x74691,f3(f4(x74691,x74692),x74693))),
% 58.62/58.69 inference(scs_inference,[],[8,86,13,28])).
% 58.62/58.69 cnf(7472,plain,
% 58.62/58.69 (P2(f3(f4(x74721,x74722),x74723),x74721)),
% 58.62/58.69 inference(scs_inference,[],[3,7469,21,27])).
% 58.62/58.69 cnf(7486,plain,
% 58.62/58.69 (P2(x74861,f4(x74861,x74862))),
% 58.62/58.69 inference(scs_inference,[],[57,7472,21,27])).
% 58.62/58.69 cnf(7498,plain,
% 58.62/58.69 (P2(f4(x74981,x74982),x74981)),
% 58.62/58.69 inference(scs_inference,[],[3,7486,21,27])).
% 58.62/58.69 cnf(7511,plain,
% 58.62/58.69 (P2(f4(f3(x75111,x75112),x75113),x75111)),
% 58.62/58.69 inference(scs_inference,[],[57,7498,7486,21,27])).
% 58.62/58.69 cnf(7528,plain,
% 58.62/58.69 (P2(x75281,f4(f3(x75281,x75282),x75283))),
% 58.62/58.69 inference(scs_inference,[],[3,7511,21,27])).
% 58.62/58.69 cnf(7539,plain,
% 58.62/58.69 (P2(f4(f3(x75391,x75392),x75393),f3(x75391,x75394))),
% 58.62/58.69 inference(scs_inference,[],[91,7528,21,27])).
% 58.62/58.69 cnf(7553,plain,
% 58.62/58.69 (P2(f3(x75531,x75532),f4(f3(x75531,x75533),x75534))),
% 58.62/58.69 inference(scs_inference,[],[3,7539,21,27])).
% 58.62/58.69 cnf(7605,plain,
% 58.62/58.69 (P2(f3(f4(x76051,x76052),x76053),f3(x76051,x76054))),
% 58.62/58.69 inference(scs_inference,[],[91,7469,27])).
% 58.62/58.69 cnf(7635,plain,
% 58.62/58.69 (P2(f3(x76351,x76352),f4(x76351,x76353))),
% 58.62/58.69 inference(scs_inference,[],[57,7605,27])).
% 58.62/58.69 cnf(7645,plain,
% 58.62/58.69 (P2(f4(x76451,x76452),f3(x76451,x76453))),
% 58.62/58.69 inference(scs_inference,[],[3,7635,27])).
% 58.62/58.69 cnf(7658,plain,
% 58.62/58.69 (P2(f4(x76581,x76582),f3(f3(x76581,x76583),x76584))),
% 58.62/58.69 inference(scs_inference,[],[1921,7635,27])).
% 58.62/58.69 cnf(7669,plain,
% 58.62/58.69 (P2(f3(f3(x76691,x76692),x76693),f4(x76691,x76694))),
% 58.62/58.69 inference(scs_inference,[],[3,7658,27])).
% 58.62/58.69 cnf(11100,plain,
% 58.62/58.69 (P3(f3(x111001,x111002),f4(x111001,x111003))),
% 58.62/58.69 inference(scs_inference,[],[7635,17])).
% 58.62/58.69 cnf(11109,plain,
% 58.62/58.69 (P3(f4(x111091,x111092),f3(x111091,x111093))),
% 58.62/58.69 inference(scs_inference,[],[1870,7669,11100,17,22,30])).
% 58.62/58.69 cnf(11115,plain,
% 58.62/58.69 (~P8(f4(x111151,x111152),f3(x111151,x111153))),
% 58.62/58.69 inference(scs_inference,[],[7511,11109,17,22])).
% 58.62/58.69 cnf(11121,plain,
% 58.62/58.69 (P3(f3(x111211,x111212),f4(f3(x111211,x111213),x111214))),
% 58.62/58.69 inference(scs_inference,[],[7553,17])).
% 58.62/58.69 cnf(11128,plain,
% 58.62/58.69 (P3(x111281,f4(x111281,x111282))),
% 58.62/58.69 inference(scs_inference,[],[7486,11121,22,17])).
% 58.62/58.69 cnf(12662,plain,
% 58.62/58.69 (~P5(f4(x126621,x126622),f3(x126621,x126623))),
% 58.62/58.69 inference(scs_inference,[],[11115,8,7,14,39])).
% 58.62/58.69 cnf(13613,plain,
% 58.62/58.69 (~P5(x136131,f4(x136131,x136132))),
% 58.62/58.69 inference(scs_inference,[],[12662,11128,86,16,36])).
% 58.62/58.69 cnf(13618,plain,
% 58.62/58.69 (P4(a1,f4(x136181,x136182))+P4(a1,f3(x136181,x136183))+P4(a2,f3(x136181,x136183))),
% 58.62/58.69 inference(scs_inference,[],[65,12662,7645,11128,86,5806,16,36,48])).
% 58.62/58.69 cnf(13621,plain,
% 58.62/58.69 (P4(a1,f4(x136211,x136212))+P4(a2,f3(x136211,x136213))),
% 58.62/58.69 inference(scs_inference,[],[13613,5806,16,13618])).
% 58.62/58.69 cnf(13623,plain,
% 58.62/58.69 (P4(a2,f3(x136231,x136232))),
% 58.62/58.69 inference(scs_inference,[],[5806,13621])).
% 58.62/58.69 cnf(13629,plain,
% 58.62/58.69 ($false),
% 58.62/58.69 inference(scs_inference,[],[13623,5806]),
% 58.62/58.69 ['proof']).
% 58.62/58.69 % SZS output end Proof
% 58.62/58.69 % Total time :58.030000s
%------------------------------------------------------------------------------