%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO219+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 : n026.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 06:04:40 EDT 2024
% Result : Theorem 48.67s 48.73s
% Output : CNFRefutation 48.78s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : GEO219+3 : TPTP v8.2.0. Released v4.0.0.
% 0.06/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n026.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Fri Jun 21 09:14:09 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.20/0.55 start to proof:theBenchmark
% 48.67/48.71 %-------------------------------------------
% 48.67/48.71 % File :CSE---1.7
% 48.67/48.71 % Problem :theBenchmark
% 48.67/48.71 % Transform :cnf
% 48.67/48.71 % Format :tptp:raw
% 48.67/48.71 % Command :java -jar mcs_scs.jar %d %s
% 48.67/48.71
% 48.67/48.71 % Result :Theorem 48.120000s
% 48.67/48.71 % Output :CNFRefutation 48.120000s
% 48.67/48.71 %-------------------------------------------
% 48.67/48.73 %------------------------------------------------------------------------------
% 48.67/48.73 % File : GEO219+3 : TPTP v8.2.0. Released v4.0.0.
% 48.67/48.73 % Domain : Geometry (Constructive)
% 48.67/48.73 % Problem : Transitivity of orthogonal and parallel
% 48.67/48.73 % Version : [vPl95] axioms.
% 48.67/48.73 % English : If line L is orthogonal to M and a line N is parallel to L,
% 48.67/48.73 % then M is orthogonal to N.
% 48.67/48.73
% 48.67/48.73 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 48.67/48.73 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 48.67/48.73 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 48.67/48.73 % Source : [Rat07]
% 48.67/48.73 % Names : Theorem 8.7.iii [vPl95]
% 48.67/48.73
% 48.67/48.73 % Status : Theorem
% 48.67/48.73 % 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, 0.17 v5.2.0, 0.14 v5.0.0, 0.05 v4.1.0, 0.06 v4.0.1, 0.05 v4.0.0
% 48.67/48.73 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 48.67/48.73 % Number of atoms : 96 ( 0 equ)
% 48.67/48.73 % Maximal formula atoms : 6 ( 2 avg)
% 48.67/48.73 % Number of connectives : 88 ( 28 ~; 19 |; 14 &)
% 48.67/48.73 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 48.67/48.73 % Maximal formula depth : 9 ( 5 avg)
% 48.67/48.73 % Maximal term depth : 2 ( 1 avg)
% 48.67/48.73 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 48.67/48.73 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 48.67/48.73 % Number of variables : 84 ( 84 !; 0 ?)
% 48.67/48.73 % SPC : FOF_THM_RFO_NEQ
% 48.67/48.73
% 48.67/48.73 % Comments :
% 48.67/48.73 %------------------------------------------------------------------------------
% 48.67/48.73 include('Axioms/GEO006+0.ax').
% 48.67/48.73 include('Axioms/GEO006+1.ax').
% 48.67/48.73 include('Axioms/GEO006+2.ax').
% 48.67/48.73 include('Axioms/GEO006+3.ax').
% 48.67/48.73 include('Axioms/GEO006+4.ax').
% 48.67/48.73 include('Axioms/GEO006+5.ax').
% 48.67/48.73 include('Axioms/GEO006+6.ax').
% 48.67/48.73 %------------------------------------------------------------------------------
% 48.67/48.73 fof(con,conjecture,
% 48.67/48.73 ! [L,M,N] :
% 48.67/48.73 ( ( orthogonal_lines(L,M)
% 48.67/48.73 & parallel_lines(L,N) )
% 48.67/48.73 => orthogonal_lines(M,N) ) ).
% 48.67/48.73
% 48.67/48.73 %------------------------------------------------------------------------------
% 48.67/48.73 %-------------------------------------------
% 48.67/48.73 % Proof found
% 48.67/48.73 % SZS status Theorem for theBenchmark
% 48.67/48.73 % SZS output start Proof
% 48.67/48.74 %ClaNum:49(EqnAxiom:0)
% 48.67/48.74 %VarNum:218(SingletonVarNum:98)
% 48.67/48.74 %MaxLitNum:6
% 48.67/48.74 %MaxfuncDepth:1
% 48.67/48.74 %SharedTerms:6
% 48.67/48.74 %goalClause: 1 2 3
% 48.67/48.74 %singleGoalClaCount:3
% 48.67/48.74 [1]P1(a1,a2)
% 48.67/48.74 [2]P2(a1,a3)
% 48.67/48.74 [3]~P2(a3,a2)
% 48.67/48.74 [4]~P3(x41,x41)
% 48.67/48.74 [5]~P4(x51,x51)
% 48.67/48.74 [6]~P5(x61,x61)
% 48.67/48.74 [7]~P6(x71,f4(x72,x71))
% 48.67/48.74 [8]~P6(x81,f5(x82,x81))
% 48.67/48.74 [9]~P5(f4(x91,x92),x91)
% 48.67/48.74 [10]~P11(f5(x101,x102),x101)
% 48.67/48.74 [11]P7(x111,x112)+P3(x111,x112)
% 48.67/48.74 [12]P8(x121,x122)+P4(x121,x122)
% 48.67/48.74 [14]P11(x141,x142)+P5(x141,x142)
% 48.67/48.74 [15]P1(x151,x152)+P5(x151,x152)
% 48.67/48.74 [16]P9(x161,x162)+P6(x161,x162)
% 48.67/48.74 [17]P2(x171,x172)+P11(x171,x172)
% 48.67/48.74 [18]~P4(x181,x182)+P5(x181,x182)
% 48.67/48.74 [21]~P7(x211,x212)+~P3(x211,x212)
% 48.67/48.74 [22]~P8(x221,x222)+~P4(x221,x222)
% 48.67/48.74 [23]~P1(x231,x232)+~P5(x231,x232)
% 48.67/48.74 [24]~P9(x241,x242)+~P6(x241,x242)
% 48.67/48.74 [25]~P2(x251,x252)+~P11(x251,x252)
% 48.67/48.74 [45]~P3(x451,x452)+~P6(x452,f7(x451,x452))
% 48.67/48.74 [46]~P3(x461,x462)+~P6(x461,f7(x461,x462))
% 48.67/48.74 [47]~P5(x471,x472)+~P6(f6(x471,x472),x472)
% 48.67/48.74 [48]~P5(x481,x482)+~P6(f6(x481,x482),x481)
% 48.67/48.74 [19]~P12(x192)+~P10(x191)+P10(f4(x191,x192))
% 48.67/48.74 [20]~P12(x202)+~P10(x201)+P10(f5(x201,x202))
% 48.67/48.74 [26]~P3(x263,x261)+P3(x261,x262)+P3(x263,x262)
% 48.67/48.74 [27]~P6(x271,x273)+P3(x271,x272)+P6(x272,x273)
% 48.67/48.74 [28]~P4(x283,x281)+P4(x281,x282)+P4(x283,x282)
% 48.67/48.74 [29]~P5(x293,x291)+P4(x291,x292)+P5(x293,x292)
% 48.67/48.74 [30]~P6(x303,x301)+P4(x301,x302)+P6(x303,x302)
% 48.67/48.74 [31]~P5(x313,x311)+P5(x311,x312)+P5(x313,x312)
% 48.67/48.74 [32]~P5(x323,x322)+P11(x321,x322)+P11(x321,x323)
% 48.67/48.74 [34]~P10(x342)+~P10(x341)+~P5(x341,x342)+P12(f6(x341,x342))
% 48.67/48.74 [35]~P12(x352)+~P12(x351)+~P3(x351,x352)+P10(f7(x351,x352))
% 48.67/48.74 [37]~P5(x371,x373)+~P11(x371,x373)+P5(x371,x372)+P11(x373,x372)
% 48.67/48.74 [38]~P5(x382,x383)+~P11(x382,x383)+P5(x381,x382)+P5(x381,x383)
% 48.67/48.74 [39]~P5(x392,x393)+~P11(x392,x393)+P5(x391,x392)+P11(x391,x393)
% 48.67/48.74 [40]~P5(x403,x401)+~P11(x403,x401)+P5(x401,x402)+P11(x403,x402)
% 48.67/48.74 [41]~P5(x413,x412)+~P11(x413,x412)+P5(x411,x412)+P11(x411,x413)
% 48.67/48.74 [42]~P5(x421,x423)+~P11(x421,x423)+P11(x421,x422)+P11(x423,x422)
% 48.67/48.74 [44]P11(x443,x444)+~P4(x443,x442)+P6(x441,x442)+P6(x441,x443)+P11(x442,x444)
% 48.67/48.74 [49]P6(x494,x493)+~P3(x494,x491)+~P4(x493,x492)+P6(x491,x492)+P6(x491,x493)+P6(x494,x492)
% 48.67/48.74 %EqnAxiom
% 48.67/48.74
% 48.67/48.74 %-------------------------------------------
% 48.67/48.76 cnf(56,plain,
% 48.67/48.76 (~P4(f4(x561,x562),x561)),
% 48.67/48.76 inference(scs_inference,[],[6,10,9,15,17,14,18])).
% 48.67/48.76 cnf(82,plain,
% 48.67/48.76 (~P5(x821,f4(x821,x822))),
% 48.67/48.76 inference(scs_inference,[],[6,56,8,9,14,25,16,15,12,29])).
% 48.67/48.76 cnf(85,plain,
% 48.67/48.76 (~P4(x851,f4(x851,x852))),
% 48.67/48.76 inference(scs_inference,[],[6,56,8,9,5,14,25,16,15,12,29,28])).
% 48.67/48.76 cnf(88,plain,
% 48.67/48.76 (~P6(x881,f4(f5(x882,x881),x883))),
% 48.67/48.76 inference(scs_inference,[],[6,56,8,9,5,14,25,16,15,12,29,28,30])).
% 48.67/48.76 cnf(100,plain,
% 48.67/48.76 (~P4(f4(x1001,x1002),x1001)),
% 48.67/48.76 inference(rename_variables,[],[56])).
% 48.67/48.76 cnf(102,plain,
% 48.67/48.76 (~P4(x1021,f4(f4(x1021,x1022),x1023))),
% 48.67/48.76 inference(scs_inference,[],[82,56,100,7,85,88,16,14,15,12,30,28])).
% 48.67/48.76 cnf(201,plain,
% 48.67/48.76 (P11(a1,a2)),
% 48.67/48.76 inference(scs_inference,[],[1,23,14])).
% 48.67/48.76 cnf(3814,plain,
% 48.67/48.76 (P5(x38141,f4(f5(x38141,x38142),x38143))),
% 48.67/48.76 inference(scs_inference,[],[10,82,14,31])).
% 48.67/48.76 cnf(3820,plain,
% 48.67/48.76 (P5(f4(f5(x38201,x38202),x38203),x38201)),
% 48.67/48.76 inference(scs_inference,[],[6,10,3814,23,32,31])).
% 48.67/48.76 cnf(3842,plain,
% 48.67/48.76 (P5(x38421,f5(x38421,x38422))),
% 48.67/48.76 inference(scs_inference,[],[3820,9,23,31])).
% 48.67/48.76 cnf(7380,plain,
% 48.67/48.76 (~P11(f4(f5(x73801,x73802),x73803),x73801)),
% 48.67/48.76 inference(scs_inference,[],[82,10,3820,39])).
% 48.67/48.76 cnf(7415,plain,
% 48.67/48.76 (~P11(f4(f5(x74151,x74152),x74153),x74151)),
% 48.67/48.76 inference(rename_variables,[],[7380])).
% 48.67/48.76 cnf(7420,plain,
% 48.67/48.76 (~P5(f4(f5(x74201,x74202),x74203),f5(x74201,x74204))),
% 48.67/48.76 inference(scs_inference,[],[82,10,3842,7380,7415,32,31,42])).
% 48.67/48.76 cnf(11217,plain,
% 48.67/48.76 (~P11(a1,a3)),
% 48.67/48.76 inference(scs_inference,[],[2,25])).
% 48.67/48.76 cnf(11224,plain,
% 48.67/48.76 (~P5(a1,f5(a3,x112241))),
% 48.67/48.76 inference(scs_inference,[],[2,201,3842,10,25,32,40,42])).
% 48.67/48.76 cnf(11244,plain,
% 48.67/48.76 (P5(f5(a1,x112441),f5(a3,x112442))),
% 48.67/48.76 inference(scs_inference,[],[3842,11224,18,12,31])).
% 48.67/48.76 cnf(11299,plain,
% 48.67/48.76 (~P5(a1,a2)),
% 48.67/48.76 inference(scs_inference,[],[1,23])).
% 48.67/48.76 cnf(11305,plain,
% 48.67/48.76 (P5(f5(a1,x113051),a2)),
% 48.67/48.76 inference(scs_inference,[],[1,3842,23,18,12,31])).
% 48.67/48.76 cnf(11342,plain,
% 48.67/48.76 (P5(f5(a3,x113421),a2)),
% 48.67/48.76 inference(scs_inference,[],[3,11217,11299,3842,17,41,18,31])).
% 48.67/48.76 cnf(12476,plain,
% 48.67/48.76 (P5(a2,f5(a3,x124761))),
% 48.67/48.76 inference(scs_inference,[],[11342,6,102,29,31])).
% 48.67/48.76 cnf(13241,plain,
% 48.67/48.76 (~P11(x132411,f5(x132411,x132412))),
% 48.67/48.76 inference(scs_inference,[],[7380,3842,7420,41])).
% 48.67/48.76 cnf(13405,plain,
% 48.67/48.76 (P11(f5(f5(a1,x134051),x134052),f5(a3,x134053))),
% 48.67/48.76 inference(scs_inference,[],[11244,10,32])).
% 48.67/48.76 cnf(13422,plain,
% 48.67/48.76 (P5(f5(a3,x134221),f5(a1,x134222))),
% 48.67/48.76 inference(scs_inference,[],[11244,6,31])).
% 48.67/48.76 cnf(14345,plain,
% 48.67/48.76 (~P11(x143451,f5(x143451,x143452))),
% 48.67/48.76 inference(rename_variables,[],[13241])).
% 48.67/48.76 cnf(14349,plain,
% 48.67/48.76 (P5(a2,a3)),
% 48.67/48.76 inference(scs_inference,[],[11305,11342,11224,10,13241,13422,39,32,40])).
% 48.67/48.76 cnf(14350,plain,
% 48.67/48.76 (P5(f5(a3,x143501),a2)),
% 48.67/48.76 inference(rename_variables,[],[11342])).
% 48.67/48.76 cnf(14357,plain,
% 48.67/48.76 (P11(f5(a3,x143571),f5(a2,x143572))),
% 48.67/48.76 inference(scs_inference,[],[11305,13405,11342,14350,11224,10,13241,14345,13422,39,32,40,38,42])).
% 48.67/48.76 cnf(14358,plain,
% 48.67/48.76 (~P11(x143581,f5(x143581,x143582))),
% 48.67/48.76 inference(rename_variables,[],[13241])).
% 48.67/48.76 cnf(14360,plain,
% 48.67/48.76 (P5(f5(a3,x143601),f5(a2,x143602))),
% 48.67/48.76 inference(scs_inference,[],[11305,13405,11342,14350,11224,10,13241,14345,14358,13422,39,32,40,38,42,37])).
% 48.67/48.76 cnf(14374,plain,
% 48.67/48.76 (P11(f5(a3,x143741),f5(a2,x143742))),
% 48.67/48.76 inference(rename_variables,[],[14357])).
% 48.67/48.76 cnf(14380,plain,
% 48.67/48.76 (~P11(f5(x143801,x143802),x143801)),
% 48.67/48.76 inference(rename_variables,[],[10])).
% 48.67/48.76 cnf(14385,plain,
% 48.67/48.76 ($false),
% 48.67/48.76 inference(scs_inference,[],[11299,11217,3842,12476,6,10,14380,14349,14357,14374,14360,39,38,40,32,42]),
% 48.67/48.76 ['proof']).
% 48.78/48.77 % SZS output end Proof
% 48.78/48.77 % Total time :48.120000s
%------------------------------------------------------------------------------