TSTP Solution File: GEO222+2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO222+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 : n003.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 22:43:50 EDT 2023
% Result : Theorem 0.53s 0.72s
% Output : CNFRefutation 0.71s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO222+2 : TPTP v8.1.2. Released v3.3.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Aug 29 22:00:11 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.57 start to proof:theBenchmark
% 0.53/0.72 %-------------------------------------------
% 0.53/0.72 % File :CSE---1.6
% 0.53/0.72 % Problem :theBenchmark
% 0.53/0.72 % Transform :cnf
% 0.53/0.72 % Format :tptp:raw
% 0.53/0.72 % Command :java -jar mcs_scs.jar %d %s
% 0.53/0.72
% 0.53/0.72 % Result :Theorem 0.110000s
% 0.53/0.72 % Output :CNFRefutation 0.110000s
% 0.53/0.72 %-------------------------------------------
% 0.53/0.72 %------------------------------------------------------------------------------
% 0.53/0.72 % File : GEO222+2 : TPTP v8.1.2. Released v3.3.0.
% 0.53/0.72 % Domain : Geometry (Constructive)
% 0.53/0.72 % Problem : Parallel to orthogonal to orthogonal
% 0.53/0.72 % Version : [vPl95] axioms : Reduced > Especial.
% 0.53/0.72 % English : A line L is parallel to the line, that is orthogonal to the
% 0.53/0.72 % orthogonal to L through A, and goes through A as well.
% 0.53/0.72
% 0.53/0.72 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.53/0.72 % : [Li97] Li (1997), Replacing the Axioms for Connecting Lines a
% 0.53/0.72 % : [Li98] Li (1998), A Shorter and Intuitive Axiom to Replace th
% 0.53/0.72 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.53/0.72 % Source : [ILTP]
% 0.53/0.72 % Names :
% 0.53/0.72
% 0.53/0.72 % Status : Theorem
% 0.53/0.72 % Rating : 0.00 v7.3.0, 0.14 v7.2.0, 0.17 v7.1.0, 0.25 v7.0.0, 0.00 v6.1.0, 0.08 v6.0.0, 0.00 v5.5.0, 0.25 v5.4.0, 0.17 v5.3.0, 0.30 v5.2.0, 0.29 v5.0.0, 0.15 v4.1.0, 0.17 v4.0.1, 0.21 v4.0.0, 0.25 v3.7.0, 0.14 v3.5.0, 0.00 v3.3.0
% 0.53/0.72 % Syntax : Number of formulae : 21 ( 8 unt; 0 def)
% 0.53/0.72 % Number of atoms : 56 ( 0 equ)
% 0.53/0.72 % Maximal formula atoms : 6 ( 2 avg)
% 0.53/0.72 % Number of connectives : 43 ( 8 ~; 16 |; 5 &)
% 0.53/0.72 % ( 0 <=>; 14 =>; 0 <=; 0 <~>)
% 0.53/0.72 % Maximal formula depth : 9 ( 5 avg)
% 0.53/0.72 % Maximal term depth : 3 ( 1 avg)
% 0.53/0.72 % Number of predicates : 5 ( 5 usr; 0 prp; 2-2 aty)
% 0.53/0.72 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.53/0.72 % Number of variables : 52 ( 52 !; 0 ?)
% 0.53/0.72 % SPC : FOF_THM_RFO_NEQ
% 0.53/0.72
% 0.53/0.72 % Comments : Definitions unfolded, hence Especial.
% 0.53/0.72 %------------------------------------------------------------------------------
% 0.53/0.72 include('Axioms/GEO008+0.ax').
% 0.53/0.72 include('Axioms/GEO006+2.ax').
% 0.53/0.72 include('Axioms/GEO006+3.ax').
% 0.53/0.72 %------------------------------------------------------------------------------
% 0.53/0.72 fof(con,conjecture,
% 0.53/0.72 ! [A,L] : ~ convergent_lines(L,orthogonal_through_point(orthogonal_through_point(L,A),A)) ).
% 0.53/0.72
% 0.53/0.72 %------------------------------------------------------------------------------
% 0.53/0.72 %-------------------------------------------
% 0.53/0.72 % Proof found
% 0.53/0.72 % SZS status Theorem for theBenchmark
% 0.53/0.72 % SZS output start Proof
% 0.53/0.72 %ClaNum:26(EqnAxiom:0)
% 0.53/0.72 %VarNum:138(SingletonVarNum:62)
% 0.53/0.72 %MaxLitNum:6
% 0.53/0.72 %MaxfuncDepth:2
% 0.53/0.72 %SharedTerms:5
% 0.53/0.72 %goalClause: 1
% 0.53/0.72 %singleGoalClaCount:1
% 0.53/0.72 [1]P1(a1,f3(f3(a1,a2),a2))
% 0.53/0.72 [2]~P3(x21,x21)
% 0.53/0.72 [3]~P4(x31,x31)
% 0.53/0.72 [4]~P1(x41,x41)
% 0.53/0.73 [5]~P2(x51,f6(x52,x51))
% 0.53/0.73 [6]~P2(x61,f3(x62,x61))
% 0.53/0.73 [7]~P1(f6(x71,x72),x71)
% 0.53/0.73 [8]~P5(f3(x81,x82),x81)
% 0.53/0.73 [9]P5(x91,x92)+P1(x91,x92)
% 0.53/0.73 [10]~P1(x101,x102)+P4(x101,x102)
% 0.53/0.73 [11]~P3(x113,x111)+P3(x111,x112)+P3(x113,x112)
% 0.53/0.73 [12]~P2(x121,x123)+P3(x121,x122)+P2(x122,x123)
% 0.53/0.73 [13]~P4(x133,x131)+P4(x131,x132)+P4(x133,x132)
% 0.53/0.73 [14]~P2(x143,x141)+P4(x141,x142)+P2(x143,x142)
% 0.53/0.73 [15]~P1(x153,x151)+P1(x151,x152)+P1(x153,x152)
% 0.53/0.73 [22]~P1(x222,x223)+~P2(x221,x223)+P3(x221,f4(x222,x223))
% 0.53/0.73 [23]~P1(x232,x233)+~P2(x231,x232)+P3(x231,f4(x232,x233))
% 0.53/0.73 [24]P3(x241,x242)+~P3(x243,x242)+~P2(x241,f5(x243,x242))
% 0.53/0.73 [25]P3(x251,x252)+~P3(x252,x253)+~P2(x251,f5(x252,x253))
% 0.53/0.73 [16]P2(x163,x161)+~P4(x161,x162)+P1(x161,x162)+P2(x163,x162)
% 0.53/0.73 [18]~P1(x181,x183)+~P5(x181,x183)+P1(x181,x182)+P5(x183,x182)
% 0.53/0.73 [19]~P1(x193,x191)+~P5(x193,x191)+P1(x191,x192)+P5(x193,x192)
% 0.53/0.73 [20]~P1(x201,x203)+~P5(x201,x203)+P5(x201,x202)+P5(x203,x202)
% 0.53/0.73 [21]P5(x213,x214)+~P4(x213,x212)+P2(x211,x212)+P2(x211,x213)+P5(x212,x214)
% 0.53/0.73 [26]P2(x264,x263)+~P3(x264,x261)+~P4(x263,x262)+P2(x261,x262)+P2(x261,x263)+P2(x264,x262)
% 0.53/0.73 %EqnAxiom
% 0.53/0.73
% 0.53/0.73 %-------------------------------------------
% 0.53/0.73 cnf(28,plain,
% 0.53/0.73 (P1(f3(f3(a1,a2),a2),a1)),
% 0.53/0.73 inference(scs_inference,[],[1,4,9,15])).
% 0.53/0.73 cnf(29,plain,
% 0.53/0.73 (~P1(x291,x291)),
% 0.53/0.73 inference(rename_variables,[],[4])).
% 0.53/0.73 cnf(31,plain,
% 0.53/0.73 (P4(a1,f3(f3(a1,a2),a2))),
% 0.53/0.73 inference(scs_inference,[],[1,4,9,15,10])).
% 0.53/0.73 cnf(35,plain,
% 0.53/0.73 (~P4(f6(f3(x351,x352),x352),f3(x351,x352))),
% 0.53/0.73 inference(scs_inference,[],[1,2,4,5,6,7,9,15,10,25,16])).
% 0.53/0.73 cnf(37,plain,
% 0.53/0.73 (~P2(x371,f6(x372,x371))),
% 0.53/0.73 inference(rename_variables,[],[5])).
% 0.53/0.73 cnf(46,plain,
% 0.53/0.73 (~P1(x461,x461)),
% 0.53/0.73 inference(rename_variables,[],[4])).
% 0.53/0.73 cnf(48,plain,
% 0.53/0.73 (P5(f3(f3(a1,a2),a2),a1)+~P5(a1,f3(f3(a1,a2),a2))+~P2(x481,f5(x481,x482))),
% 0.53/0.73 inference(scs_inference,[],[1,2,4,29,46,5,37,6,7,8,9,15,10,25,16,12,20,19,18])).
% 0.53/0.73 cnf(56,plain,
% 0.53/0.73 (P4(f3(f3(a1,a2),a2),a1)),
% 0.53/0.73 inference(scs_inference,[],[3,31,13])).
% 0.53/0.73 cnf(59,plain,
% 0.53/0.73 (P1(f3(x591,x592),x591)),
% 0.53/0.73 inference(scs_inference,[],[3,8,31,13,9])).
% 0.53/0.73 cnf(61,plain,
% 0.53/0.73 (P1(f3(f6(x611,x612),x613),x611)),
% 0.53/0.73 inference(scs_inference,[],[3,7,8,31,13,9,15])).
% 0.53/0.73 cnf(68,plain,
% 0.53/0.73 (~P2(f4(f3(x681,x682),x681),f3(x681,x682))),
% 0.53/0.73 inference(scs_inference,[],[2,59,23])).
% 0.53/0.73 cnf(69,plain,
% 0.53/0.73 (~P3(x691,x691)),
% 0.53/0.73 inference(rename_variables,[],[2])).
% 0.53/0.73 cnf(71,plain,
% 0.53/0.73 (~P1(x711,f6(x711,x712))),
% 0.53/0.73 inference(scs_inference,[],[2,4,7,59,23,15])).
% 0.53/0.73 cnf(72,plain,
% 0.53/0.73 (~P1(f6(x721,x722),x721)),
% 0.53/0.73 inference(rename_variables,[],[7])).
% 0.53/0.73 cnf(76,plain,
% 0.53/0.73 (P5(a1,f3(a1,a2))+P2(a2,a1)),
% 0.53/0.73 inference(scs_inference,[],[2,6,4,7,72,8,59,56,23,15,9,21])).
% 0.53/0.73 cnf(78,plain,
% 0.53/0.73 (~P5(f3(x781,x782),x781)),
% 0.53/0.73 inference(rename_variables,[],[8])).
% 0.53/0.73 cnf(80,plain,
% 0.53/0.73 (~P2(f4(f3(x801,x802),x801),x801)),
% 0.53/0.73 inference(scs_inference,[],[2,69,6,4,7,72,8,59,56,23,15,9,21,22])).
% 0.53/0.73 cnf(83,plain,
% 0.53/0.73 (~P5(x831,f3(x831,x832))+~P1(x831,f3(x831,x832))),
% 0.53/0.73 inference(scs_inference,[],[2,69,6,4,7,72,8,78,59,56,23,15,9,21,22,18])).
% 0.53/0.73 cnf(84,plain,
% 0.53/0.73 (~P5(f3(x841,x842),x841)),
% 0.53/0.73 inference(rename_variables,[],[8])).
% 0.53/0.73 cnf(86,plain,
% 0.53/0.73 (~P5(f3(f3(a1,a2),a2),a1)+~P1(a1,f3(a1,a2))),
% 0.53/0.73 inference(scs_inference,[],[2,69,6,4,7,72,8,78,84,59,28,56,23,15,9,21,22,18,20])).
% 0.53/0.73 cnf(89,plain,
% 0.53/0.73 (P5(a1,f3(a1,a2))+~P1(a1,f3(a1,a2))+P3(a2,f4(f3(a1,x891),a1))),
% 0.53/0.73 inference(scs_inference,[],[2,69,6,4,7,72,8,78,84,59,28,56,23,15,9,21,22,18,20,12])).
% 0.53/0.73 cnf(91,plain,
% 0.53/0.73 (~P5(f3(f6(x911,x912),x913),x911)),
% 0.53/0.73 inference(scs_inference,[],[8,71,61,19])).
% 0.53/0.73 cnf(92,plain,
% 0.53/0.73 (~P1(x921,f6(x921,x922))),
% 0.53/0.73 inference(rename_variables,[],[71])).
% 0.53/0.73 cnf(93,plain,
% 0.53/0.73 (~P5(f3(x931,x932),x931)),
% 0.53/0.73 inference(rename_variables,[],[8])).
% 0.53/0.73 cnf(95,plain,
% 0.53/0.73 (P1(x951,f3(f6(x951,x952),x953))),
% 0.53/0.73 inference(scs_inference,[],[8,4,71,61,19,15])).
% 0.53/0.73 cnf(98,plain,
% 0.53/0.73 (P5(f6(x981,x982),x983)+~P4(f6(x981,x982),f3(x983,x982))),
% 0.53/0.73 inference(scs_inference,[],[5,6,8,93,4,71,61,19,15,21])).
% 0.53/0.73 cnf(99,plain,
% 0.53/0.73 (~P2(x991,f6(x992,x991))),
% 0.53/0.73 inference(rename_variables,[],[5])).
% 0.53/0.73 cnf(102,plain,
% 0.53/0.73 (P2(x1021,f6(f6(x1022,x1021),x1023))+~P4(f6(x1022,x1021),f6(f6(x1022,x1021),x1023))),
% 0.53/0.73 inference(scs_inference,[],[5,99,6,8,93,4,71,92,61,19,15,21,16])).
% 0.53/0.73 cnf(105,plain,
% 0.53/0.73 (~P4(f6(x1051,x1052),f6(f6(x1051,x1052),x1052))),
% 0.53/0.73 inference(scs_inference,[],[5,102])).
% 0.53/0.73 cnf(106,plain,
% 0.53/0.73 (~P2(x1061,f6(x1062,x1061))),
% 0.53/0.73 inference(rename_variables,[],[5])).
% 0.53/0.73 cnf(114,plain,
% 0.53/0.73 (P1(f3(f3(a1,a2),a2),f6(a1,x1141))),
% 0.53/0.73 inference(scs_inference,[],[28,5,106,6,8,95,71,102,10,21,15])).
% 0.53/0.73 cnf(119,plain,
% 0.53/0.73 (P1(f6(a1,x1191),f3(f3(a1,a2),a2))),
% 0.53/0.73 inference(scs_inference,[],[4,114,15])).
% 0.53/0.73 cnf(126,plain,
% 0.53/0.73 (~P2(f4(f3(x1261,x1262),x1261),f6(f3(x1261,x1262),x1262))),
% 0.53/0.73 inference(scs_inference,[],[68,35,14])).
% 0.53/0.73 cnf(135,plain,
% 0.53/0.73 (P1(f6(a1,x1351),f3(f3(a1,a2),a2))),
% 0.53/0.73 inference(rename_variables,[],[119])).
% 0.53/0.73 cnf(136,plain,
% 0.53/0.73 (~P1(f6(x1361,x1362),x1361)),
% 0.53/0.73 inference(rename_variables,[],[7])).
% 0.53/0.73 cnf(138,plain,
% 0.53/0.73 (P4(f6(a1,x1381),f3(f3(a1,a2),a2))),
% 0.71/0.73 inference(scs_inference,[],[7,119,135,18,10])).
% 0.71/0.73 cnf(140,plain,
% 0.71/0.73 (~P1(f6(f6(x1401,x1402),x1403),x1401)),
% 0.71/0.73 inference(scs_inference,[],[7,136,119,135,71,18,10,15])).
% 0.71/0.73 cnf(149,plain,
% 0.71/0.73 (P4(f6(a1,x1491),f3(f3(a1,a2),a2))),
% 0.71/0.73 inference(rename_variables,[],[138])).
% 0.71/0.73 cnf(152,plain,
% 0.71/0.73 (~P5(f3(x1521,x1522),x1521)),
% 0.71/0.73 inference(rename_variables,[],[8])).
% 0.71/0.73 cnf(156,plain,
% 0.71/0.73 (~P5(f3(x1561,x1562),x1561)),
% 0.71/0.73 inference(rename_variables,[],[8])).
% 0.71/0.73 cnf(158,plain,
% 0.71/0.73 (P1(x1581,f6(f3(x1581,x1582),x1583))),
% 0.71/0.73 inference(scs_inference,[],[28,7,8,152,138,59,71,98,20,18,15])).
% 0.71/0.73 cnf(161,plain,
% 0.71/0.73 (P4(f3(f3(a1,a2),a2),f6(f6(a1,x1611),x1611))),
% 0.71/0.73 inference(scs_inference,[],[28,7,8,152,138,149,105,59,71,98,20,18,15,13])).
% 0.71/0.73 cnf(164,plain,
% 0.71/0.73 (P5(f6(f6(a1,a2),a2),f3(a1,a2))),
% 0.71/0.73 inference(scs_inference,[],[5,28,7,6,8,152,156,138,149,105,59,71,98,20,18,15,13,21])).
% 0.71/0.73 cnf(171,plain,
% 0.71/0.73 (~P1(f6(f6(x1711,x1712),x1713),x1711)),
% 0.71/0.73 inference(rename_variables,[],[140])).
% 0.71/0.73 cnf(172,plain,
% 0.71/0.73 (~P5(f3(x1721,x1722),x1721)),
% 0.71/0.73 inference(rename_variables,[],[8])).
% 0.71/0.73 cnf(180,plain,
% 0.71/0.73 (P1(f3(f3(a1,a2),a2),f6(f6(a1,a2),a2))),
% 0.71/0.73 inference(scs_inference,[],[6,28,7,8,172,140,171,161,164,5,18,15,19,16])).
% 0.71/0.73 cnf(200,plain,
% 0.71/0.73 (P1(x2001,f3(x2001,x2002))),
% 0.71/0.73 inference(scs_inference,[],[7,8,158,95,71,18,15])).
% 0.71/0.73 cnf(201,plain,
% 0.71/0.73 (~P1(f6(x2011,x2012),x2011)),
% 0.71/0.73 inference(rename_variables,[],[7])).
% 0.71/0.73 cnf(203,plain,
% 0.71/0.73 (~P5(f3(f3(a1,a2),a2),a1)),
% 0.71/0.73 inference(scs_inference,[],[7,8,158,95,71,18,15,86])).
% 0.71/0.73 cnf(206,plain,
% 0.71/0.73 (P3(a2,f4(f3(a1,x2061),a1))),
% 0.71/0.73 inference(scs_inference,[],[7,8,158,95,71,18,15,86,83,89])).
% 0.71/0.73 cnf(208,plain,
% 0.71/0.73 (~P4(f3(a1,a2),f6(f3(a1,a2),a2))),
% 0.71/0.73 inference(scs_inference,[],[6,7,8,158,126,95,68,71,5,18,15,86,83,89,48,26])).
% 0.71/0.73 cnf(217,plain,
% 0.71/0.73 (P2(a2,a1)),
% 0.71/0.73 inference(scs_inference,[],[6,7,201,8,158,126,95,68,114,71,5,18,15,86,83,89,48,26,19,76])).
% 0.71/0.73 cnf(229,plain,
% 0.71/0.73 (P1(x2291,f3(x2291,x2292))),
% 0.71/0.73 inference(rename_variables,[],[200])).
% 0.71/0.73 cnf(238,plain,
% 0.71/0.73 (P4(f3(x2381,x2382),x2381)),
% 0.71/0.73 inference(scs_inference,[],[7,59,200,229,180,206,217,91,2,4,11,18,15,23,10])).
% 0.71/0.73 cnf(245,plain,
% 0.71/0.73 (P4(f3(f3(a1,a2),x2451),f6(f3(a1,a2),a2))),
% 0.71/0.73 inference(scs_inference,[],[238,208,13])).
% 0.71/0.73 cnf(248,plain,
% 0.71/0.73 (~P1(x2481,f6(f6(x2481,x2482),x2483))),
% 0.71/0.74 inference(scs_inference,[],[7,238,208,71,13,15])).
% 0.71/0.74 cnf(255,plain,
% 0.71/0.74 (P4(f6(f3(a1,a2),a2),f3(f3(a1,a2),x2551))),
% 0.71/0.74 inference(scs_inference,[],[245,3,13])).
% 0.71/0.74 cnf(288,plain,
% 0.71/0.74 ($false),
% 0.71/0.74 inference(scs_inference,[],[8,35,255,248,203,200,68,3,1,80,5,6,16,13,15,83,21,10]),
% 0.71/0.74 ['proof']).
% 0.71/0.74 % SZS output end Proof
% 0.71/0.74 % Total time :0.110000s
%------------------------------------------------------------------------------