%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : GEO220+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 : n027.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 06:04:41 EDT 2024
% Result : Theorem 58.70s 58.82s
% Output : CNFRefutation 58.70s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO220+3 : TPTP v8.2.0. Released v4.0.0.
% 0.03/0.12 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.13/0.33 % Computer : n027.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 06:49:54 EDT 2024
% 0.13/0.33 % CPUTime :
% 0.47/0.69 start to proof:theBenchmark
% 58.64/58.80 %-------------------------------------------
% 58.64/58.80 % File :CSE---1.7
% 58.64/58.80 % Problem :theBenchmark
% 58.64/58.80 % Transform :cnf
% 58.64/58.80 % Format :tptp:raw
% 58.64/58.80 % Command :java -jar mcs_scs.jar %d %s
% 58.64/58.80
% 58.64/58.80 % Result :Theorem 58.080000s
% 58.64/58.80 % Output :CNFRefutation 58.080000s
% 58.64/58.80 %-------------------------------------------
% 58.70/58.82 %------------------------------------------------------------------------------
% 58.70/58.82 % File : GEO220+3 : TPTP v8.2.0. Released v4.0.0.
% 58.70/58.82 % Domain : Geometry (Constructive)
% 58.70/58.82 % Problem : Transitivity of orthogonal
% 58.70/58.82 % Version : [vPl95] axioms.
% 58.70/58.82 % English : If a line L is orthogonal to line M and line N is orthogonal
% 58.70/58.82 % to L, then M and N are parallel.
% 58.70/58.82
% 58.70/58.82 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 58.70/58.82 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 58.70/58.82 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 58.70/58.82 % Source : [Rat07]
% 58.70/58.82 % Names : Theorem 8.7.iv [vPl95]
% 58.70/58.82
% 58.70/58.82 % Status : Theorem
% 58.70/58.82 % Rating : 0.00 v6.1.0, 0.12 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
% 58.70/58.82 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 58.70/58.82 % Number of atoms : 96 ( 0 equ)
% 58.70/58.82 % Maximal formula atoms : 6 ( 2 avg)
% 58.70/58.82 % Number of connectives : 88 ( 28 ~; 19 |; 14 &)
% 58.70/58.82 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 58.70/58.82 % Maximal formula depth : 9 ( 5 avg)
% 58.70/58.82 % Maximal term depth : 2 ( 1 avg)
% 58.70/58.82 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 58.70/58.82 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 58.70/58.82 % Number of variables : 84 ( 84 !; 0 ?)
% 58.70/58.82 % SPC : FOF_THM_RFO_NEQ
% 58.70/58.82
% 58.70/58.82 % Comments :
% 58.70/58.82 %------------------------------------------------------------------------------
% 58.70/58.82 include('Axioms/GEO006+0.ax').
% 58.70/58.82 include('Axioms/GEO006+1.ax').
% 58.70/58.82 include('Axioms/GEO006+2.ax').
% 58.70/58.82 include('Axioms/GEO006+3.ax').
% 58.70/58.82 include('Axioms/GEO006+4.ax').
% 58.70/58.82 include('Axioms/GEO006+5.ax').
% 58.70/58.82 include('Axioms/GEO006+6.ax').
% 58.70/58.82 %------------------------------------------------------------------------------
% 58.70/58.82 fof(con,conjecture,
% 58.70/58.82 ! [L,M,N] :
% 58.70/58.82 ( ( orthogonal_lines(L,M)
% 58.70/58.82 & orthogonal_lines(L,N) )
% 58.70/58.82 => parallel_lines(M,N) ) ).
% 58.70/58.82
% 58.70/58.82 %------------------------------------------------------------------------------
% 58.70/58.82 %-------------------------------------------
% 58.70/58.82 % Proof found
% 58.70/58.82 % SZS status Theorem for theBenchmark
% 58.70/58.82 % SZS output start Proof
% 58.70/58.83 %ClaNum:49(EqnAxiom:0)
% 58.70/58.83 %VarNum:218(SingletonVarNum:98)
% 58.70/58.83 %MaxLitNum:6
% 58.70/58.83 %MaxfuncDepth:1
% 58.70/58.83 %SharedTerms:6
% 58.70/58.83 %goalClause: 1 2 3
% 58.70/58.83 %singleGoalClaCount:3
% 58.70/58.83 [1]P1(a1,a2)
% 58.70/58.83 [2]P1(a1,a3)
% 58.70/58.83 [3]~P10(a2,a3)
% 58.70/58.83 [4]~P2(x41,x41)
% 58.70/58.83 [5]~P3(x51,x51)
% 58.70/58.83 [6]~P4(x61,x61)
% 58.70/58.83 [7]~P5(x71,f4(x72,x71))
% 58.70/58.83 [8]~P5(x81,f5(x82,x81))
% 58.70/58.83 [9]~P4(f4(x91,x92),x91)
% 58.70/58.83 [10]~P11(f5(x101,x102),x101)
% 58.70/58.83 [11]P6(x111,x112)+P2(x111,x112)
% 58.70/58.83 [12]P7(x121,x122)+P3(x121,x122)
% 58.70/58.83 [14]P11(x141,x142)+P4(x141,x142)
% 58.70/58.83 [15]P10(x151,x152)+P4(x151,x152)
% 58.70/58.83 [16]P8(x161,x162)+P5(x161,x162)
% 58.70/58.83 [17]P1(x171,x172)+P11(x171,x172)
% 58.70/58.83 [18]~P3(x181,x182)+P4(x181,x182)
% 58.70/58.83 [21]~P6(x211,x212)+~P2(x211,x212)
% 58.70/58.83 [22]~P7(x221,x222)+~P3(x221,x222)
% 58.70/58.83 [23]~P10(x231,x232)+~P4(x231,x232)
% 58.70/58.83 [24]~P8(x241,x242)+~P5(x241,x242)
% 58.70/58.83 [25]~P1(x251,x252)+~P11(x251,x252)
% 58.70/58.83 [45]~P2(x451,x452)+~P5(x452,f7(x451,x452))
% 58.70/58.83 [46]~P2(x461,x462)+~P5(x461,f7(x461,x462))
% 58.70/58.83 [47]~P4(x471,x472)+~P5(f6(x471,x472),x472)
% 58.70/58.83 [48]~P4(x481,x482)+~P5(f6(x481,x482),x481)
% 58.70/58.83 [19]~P12(x192)+~P9(x191)+P9(f4(x191,x192))
% 58.70/58.83 [20]~P12(x202)+~P9(x201)+P9(f5(x201,x202))
% 58.70/58.83 [26]~P2(x263,x261)+P2(x261,x262)+P2(x263,x262)
% 58.70/58.83 [27]~P5(x271,x273)+P2(x271,x272)+P5(x272,x273)
% 58.70/58.83 [28]~P3(x283,x281)+P3(x281,x282)+P3(x283,x282)
% 58.70/58.83 [29]~P4(x293,x291)+P3(x291,x292)+P4(x293,x292)
% 58.70/58.83 [30]~P5(x303,x301)+P3(x301,x302)+P5(x303,x302)
% 58.70/58.83 [31]~P4(x313,x311)+P4(x311,x312)+P4(x313,x312)
% 58.70/58.83 [32]~P4(x323,x322)+P11(x321,x322)+P11(x321,x323)
% 58.70/58.83 [34]~P9(x342)+~P9(x341)+~P4(x341,x342)+P12(f6(x341,x342))
% 58.70/58.83 [35]~P12(x352)+~P12(x351)+~P2(x351,x352)+P9(f7(x351,x352))
% 58.70/58.83 [37]~P4(x371,x373)+~P11(x371,x373)+P4(x371,x372)+P11(x373,x372)
% 58.70/58.83 [38]~P4(x382,x383)+~P11(x382,x383)+P4(x381,x382)+P4(x381,x383)
% 58.70/58.83 [39]~P4(x392,x393)+~P11(x392,x393)+P4(x391,x392)+P11(x391,x393)
% 58.70/58.83 [40]~P4(x403,x401)+~P11(x403,x401)+P4(x401,x402)+P11(x403,x402)
% 58.70/58.83 [41]~P4(x413,x412)+~P11(x413,x412)+P4(x411,x412)+P11(x411,x413)
% 58.70/58.83 [42]~P4(x421,x423)+~P11(x421,x423)+P11(x421,x422)+P11(x423,x422)
% 58.70/58.83 [44]P11(x443,x444)+~P3(x443,x442)+P5(x441,x442)+P5(x441,x443)+P11(x442,x444)
% 58.70/58.83 [49]P5(x494,x493)+~P2(x494,x491)+~P3(x493,x492)+P5(x491,x492)+P5(x491,x493)+P5(x494,x492)
% 58.70/58.83 %EqnAxiom
% 58.70/58.83
% 58.70/58.83 %-------------------------------------------
% 58.70/58.85 cnf(58,plain,
% 58.70/58.85 (~P3(f4(x581,x582),x581)),
% 58.70/58.85 inference(scs_inference,[],[6,9,10,5,15,17,14,12,18])).
% 58.70/58.85 cnf(66,plain,
% 58.70/58.85 (P11(f4(x661,x662),x663)+~P3(f4(x661,x662),f5(x663,x662))),
% 58.70/58.85 inference(scs_inference,[],[6,9,10,7,8,4,5,15,17,14,12,18,11,16,25,44])).
% 58.70/58.85 cnf(76,plain,
% 58.70/58.85 (P11(f4(x761,x762),x761)),
% 58.70/58.85 inference(scs_inference,[],[9,8,16,15,14])).
% 58.70/58.85 cnf(80,plain,
% 58.70/58.85 (~P4(f4(x801,x802),f4(x801,x803))),
% 58.70/58.85 inference(scs_inference,[],[9,8,58,16,15,14,12,29])).
% 58.70/58.85 cnf(81,plain,
% 58.70/58.85 (~P4(f4(x811,x812),x811)),
% 58.70/58.85 inference(rename_variables,[],[9])).
% 58.70/58.85 cnf(83,plain,
% 58.70/58.85 (~P4(x831,f4(x831,x832))),
% 58.70/58.85 inference(scs_inference,[],[9,81,6,8,58,16,15,14,12,29,31])).
% 58.70/58.85 cnf(86,plain,
% 58.70/58.85 (~P3(x861,f4(x861,x862))),
% 58.70/58.85 inference(scs_inference,[],[9,81,6,8,58,5,16,15,14,12,29,31,28])).
% 58.70/58.85 cnf(89,plain,
% 58.70/58.85 (~P5(x891,f4(f5(x892,x891),x893))),
% 58.70/58.85 inference(scs_inference,[],[9,81,6,8,58,5,16,15,14,12,29,31,28,30])).
% 58.70/58.85 cnf(100,plain,
% 58.70/58.85 (~P3(f4(x1001,x1002),f4(x1001,x1003))),
% 58.70/58.85 inference(scs_inference,[],[76,83,80,89,16,25,15,18])).
% 58.70/58.85 cnf(102,plain,
% 58.70/58.85 (P11(x1021,f4(x1021,x1022))),
% 58.70/58.85 inference(scs_inference,[],[76,83,80,89,16,25,15,18,14])).
% 58.70/58.85 cnf(106,plain,
% 58.70/58.85 (~P3(f4(f4(x1061,x1062),x1063),x1061)),
% 58.70/58.85 inference(scs_inference,[],[76,83,80,86,89,58,16,25,15,18,14,12,28])).
% 58.70/58.85 cnf(109,plain,
% 58.70/58.85 (~P5(x1091,x1092)),
% 58.70/58.85 inference(scs_inference,[],[76,83,80,7,86,89,58,16,25,15,18,14,12,28,30])).
% 58.70/58.85 cnf(112,plain,
% 58.70/58.85 (~P4(f4(f4(x1121,x1122),x1123),x1121)),
% 58.70/58.85 inference(scs_inference,[],[9,76,83,80,7,86,89,58,16,25,15,18,14,12,28,30,29])).
% 58.70/58.85 cnf(129,plain,
% 58.70/58.85 (P11(f4(x1291,x1292),f4(x1291,x1293))),
% 58.70/58.85 inference(scs_inference,[],[80,102,109,100,25,15,12,14])).
% 58.70/58.85 cnf(131,plain,
% 58.70/58.85 (~P3(f4(f4(x1311,x1312),x1313),f4(x1311,x1314))),
% 58.70/58.85 inference(scs_inference,[],[80,102,109,100,58,25,15,12,14,28])).
% 58.70/58.85 cnf(134,plain,
% 58.70/58.85 (~P4(f4(f4(x1341,x1342),x1343),f4(x1341,x1344))),
% 58.70/58.85 inference(scs_inference,[],[9,80,102,109,100,58,25,15,12,14,28,29])).
% 58.70/58.85 cnf(144,plain,
% 58.70/58.85 (P11(f4(f4(x1441,x1442),x1443),f4(x1441,x1444))),
% 58.70/58.85 inference(scs_inference,[],[129,134,109,131,25,15,12,14])).
% 58.70/58.85 cnf(163,plain,
% 58.70/58.85 (~P4(x1631,f4(f4(x1631,x1632),x1633))),
% 58.70/58.85 inference(scs_inference,[],[6,144,112,109,106,25,15,12,14,29])).
% 58.70/58.85 cnf(240,plain,
% 58.70/58.85 (P11(f4(x2401,x2402),x2403)+P7(f4(x2401,x2402),f5(x2403,x2402))),
% 58.70/58.85 inference(scs_inference,[],[66,12])).
% 58.70/58.85 cnf(256,plain,
% 58.70/58.85 (P7(f4(x2561,x2562),f5(x2563,x2562))+~P1(f4(x2561,x2562),x2563)),
% 58.70/58.85 inference(scs_inference,[],[240,25])).
% 58.70/58.85 cnf(272,plain,
% 58.70/58.85 (~P3(f4(x2721,x2722),f5(x2723,x2722))+~P1(f4(x2721,x2722),x2723)),
% 58.70/58.85 inference(scs_inference,[],[256,22])).
% 58.70/58.85 cnf(288,plain,
% 58.70/58.85 (~P1(f4(x2881,x2882),x2883)+~P4(f5(x2883,x2882),f4(x2881,x2882))),
% 58.70/58.85 inference(scs_inference,[],[6,272,29])).
% 58.70/58.85 cnf(304,plain,
% 58.70/58.85 (~P1(f4(x3041,x3042),x3043)+P10(f5(x3043,x3042),f4(x3041,x3042))),
% 58.70/58.85 inference(scs_inference,[],[288,15])).
% 58.70/58.85 cnf(320,plain,
% 58.70/58.85 (P11(f4(x3201,x3202),x3203)+P10(f5(x3203,x3202),f4(x3201,x3202))),
% 58.70/58.85 inference(scs_inference,[],[304,17])).
% 58.70/58.85 cnf(336,plain,
% 58.70/58.85 (~P4(f5(x3361,x3362),f4(x3363,x3362))+P11(f4(x3363,x3362),x3361)),
% 58.70/58.85 inference(scs_inference,[],[320,23])).
% 58.70/58.85 cnf(352,plain,
% 58.70/58.85 (P11(f4(x3521,x3522),x3523)+~P3(f5(x3523,x3522),f4(x3521,x3522))),
% 58.70/58.85 inference(scs_inference,[],[336,18])).
% 58.70/58.85 cnf(368,plain,
% 58.70/58.85 (P11(f4(x3681,x3682),x3683)+P7(f5(x3683,x3682),f4(x3681,x3682))),
% 58.70/58.85 inference(scs_inference,[],[352,12])).
% 58.70/58.85 cnf(384,plain,
% 58.70/58.85 (P7(f5(x3841,x3842),f4(x3843,x3842))+~P1(f4(x3843,x3842),x3841)),
% 58.70/58.85 inference(scs_inference,[],[368,25])).
% 58.70/58.85 cnf(400,plain,
% 58.70/58.85 (~P3(f5(x4001,x4002),f4(x4003,x4002))+~P1(f4(x4003,x4002),x4001)),
% 58.70/58.85 inference(scs_inference,[],[384,22])).
% 58.70/58.85 cnf(416,plain,
% 58.70/58.85 (~P1(f4(x4161,x4162),x4163)+~P4(f4(x4161,x4162),f5(x4163,x4162))),
% 58.70/58.85 inference(scs_inference,[],[6,400,29])).
% 58.70/58.85 cnf(432,plain,
% 58.70/58.85 (~P1(f4(x4321,x4322),x4323)+P11(f4(x4321,x4322),f5(x4323,x4322))),
% 58.70/58.85 inference(scs_inference,[],[416,14])).
% 58.70/58.85 cnf(448,plain,
% 58.70/58.85 (~P1(f4(x4481,x4482),x4483)+~P1(f4(x4481,x4482),f5(x4483,x4482))),
% 58.70/58.85 inference(scs_inference,[],[432,25])).
% 58.70/58.85 cnf(464,plain,
% 58.70/58.85 (P11(f4(x4641,x4642),x4643)+~P1(f4(x4641,x4642),f5(x4643,x4642))),
% 58.70/58.85 inference(scs_inference,[],[448,17])).
% 58.70/58.85 cnf(480,plain,
% 58.70/58.85 (P11(f4(x4801,x4802),f5(x4803,x4802))+P11(f4(x4801,x4802),x4803)),
% 58.70/58.85 inference(scs_inference,[],[464,17])).
% 58.70/58.85 cnf(859,plain,
% 58.70/58.85 (P11(x8591,f5(x8592,x8593))+~P4(x8591,x8592)+~P4(f5(x8592,x8593),x8591)),
% 58.70/58.85 inference(scs_inference,[],[10,6,32,41])).
% 58.70/58.85 cnf(2377,plain,
% 58.70/58.85 (P4(x23771,f5(x23771,x23772))),
% 58.70/58.85 inference(scs_inference,[],[10,6,14,31])).
% 58.70/58.85 cnf(2383,plain,
% 58.70/58.85 (P4(f5(x23831,x23832),x23831)),
% 58.70/58.85 inference(scs_inference,[],[6,10,2377,109,23,32,31])).
% 58.70/58.85 cnf(2422,plain,
% 58.70/58.85 (P4(x24221,f4(f5(x24221,x24222),x24223))),
% 58.70/58.85 inference(scs_inference,[],[83,2383,109,31])).
% 58.70/58.85 cnf(2442,plain,
% 58.70/58.85 (P4(f5(f4(x24421,x24422),x24423),x24421)),
% 58.70/58.85 inference(scs_inference,[],[9,2377,109,31])).
% 58.70/58.85 cnf(5183,plain,
% 58.70/58.85 (P4(a3,f4(a2,x51831))),
% 58.70/58.85 inference(scs_inference,[],[3,83,15,31])).
% 58.70/58.85 cnf(5450,plain,
% 58.70/58.85 (P4(f5(x54501,x54502),f4(x54501,x54503))),
% 58.70/58.85 inference(scs_inference,[],[2377,83,109,31])).
% 58.70/58.85 cnf(5561,plain,
% 58.70/58.85 (~P4(x55611,f4(x55611,x55612))),
% 58.70/58.85 inference(rename_variables,[],[83])).
% 58.70/58.85 cnf(5563,plain,
% 58.70/58.85 (P4(f4(f5(x55631,x55632),x55633),f4(x55631,x55634))),
% 58.70/58.85 inference(scs_inference,[],[2422,83,5561,10,109,32,29,31])).
% 58.70/58.85 cnf(5588,plain,
% 58.70/58.85 (~P4(x55881,x55881)),
% 58.70/58.85 inference(rename_variables,[],[6])).
% 58.70/58.85 cnf(5590,plain,
% 58.70/58.85 (P4(f4(f5(x55901,x55902),x55903),x55901)),
% 58.70/58.85 inference(scs_inference,[],[2422,6,5588,109,29,31])).
% 58.70/58.85 cnf(5612,plain,
% 58.70/58.85 (P3(x56121,f5(f4(x56121,x56122),x56123))),
% 58.70/58.85 inference(scs_inference,[],[2442,6,109,29])).
% 58.70/58.85 cnf(5613,plain,
% 58.70/58.85 (~P4(x56131,x56131)),
% 58.70/58.85 inference(rename_variables,[],[6])).
% 58.70/58.85 cnf(5615,plain,
% 58.70/58.85 (P4(x56151,f5(f4(x56151,x56152),x56153))),
% 58.70/58.85 inference(scs_inference,[],[2442,6,5613,109,29,31])).
% 58.70/58.86 cnf(5623,plain,
% 58.70/58.86 (~P11(x56231,f5(f4(x56231,x56232),x56233))),
% 58.70/58.86 inference(scs_inference,[],[83,10,5612,5615,109,22,23,37])).
% 58.70/58.86 cnf(5658,plain,
% 58.70/58.86 (~P4(x56581,f4(x56581,x56582))),
% 58.70/58.86 inference(rename_variables,[],[83])).
% 58.70/58.86 cnf(5660,plain,
% 58.70/58.86 (P4(f4(a2,x56601),f4(a3,x56602))),
% 58.70/58.86 inference(scs_inference,[],[5183,83,5658,10,109,32,29,31])).
% 58.70/58.86 cnf(5687,plain,
% 58.70/58.86 (~P4(x56871,x56871)),
% 58.70/58.86 inference(rename_variables,[],[6])).
% 58.70/58.86 cnf(5689,plain,
% 58.70/58.86 (P4(f4(a2,x56891),a3)),
% 58.70/58.86 inference(scs_inference,[],[5183,6,5687,109,29,31])).
% 58.70/58.86 cnf(5711,plain,
% 58.70/58.86 (~P4(x57111,f4(f4(x57111,x57112),x57113))),
% 58.70/58.86 inference(rename_variables,[],[163])).
% 58.70/58.86 cnf(5713,plain,
% 58.70/58.86 (P4(f4(a2,x57131),f4(f4(a3,x57132),x57133))),
% 58.70/58.86 inference(scs_inference,[],[5183,163,5711,109,29,31])).
% 58.70/58.86 cnf(5843,plain,
% 58.70/58.86 (P11(f5(f5(x58431,x58432),x58433),f4(x58431,x58434))),
% 58.70/58.86 inference(scs_inference,[],[5450,10,109,32])).
% 58.70/58.86 cnf(5873,plain,
% 58.70/58.86 (~P4(x58731,x58731)),
% 58.70/58.86 inference(rename_variables,[],[6])).
% 58.70/58.86 cnf(5878,plain,
% 58.70/58.86 (~P11(f4(x58781,x58782),f5(x58781,x58783))),
% 58.70/58.86 inference(scs_inference,[],[5450,9,6,5873,10,109,29,31,37])).
% 58.70/58.86 cnf(5879,plain,
% 58.70/58.86 (~P11(f5(x58791,x58792),x58791)),
% 58.70/58.86 inference(rename_variables,[],[10])).
% 58.70/58.86 cnf(5893,plain,
% 58.70/58.86 (~P4(f4(x58931,x58932),f5(f5(x58931,x58933),x58932))),
% 58.70/58.86 inference(scs_inference,[],[5450,9,6,5873,10,5879,109,29,31,37,480,25,22,17,23,859,42])).
% 58.70/58.86 cnf(5914,plain,
% 58.70/58.86 (~P3(f5(f5(x59141,x59142),x59143),f4(x59141,x59144))),
% 58.70/58.86 inference(scs_inference,[],[80,5843,5893,109,38,18])).
% 58.70/58.86 cnf(5978,plain,
% 58.70/58.86 (~P11(f5(x59781,x59782),x59781)),
% 58.70/58.86 inference(rename_variables,[],[10])).
% 58.70/58.86 cnf(5982,plain,
% 58.70/58.86 (~P4(f5(x59821,x59822),f5(f4(x59821,x59823),x59824))+P11(f5(x59821,x59822),f4(x59821,x59823))),
% 58.70/58.86 inference(scs_inference,[],[5615,10,5978,109,32,25,42])).
% 58.70/58.86 cnf(5985,plain,
% 58.70/58.86 (P10(f5(x59851,x59852),f5(f4(x59851,x59853),x59854))+P11(f5(x59851,x59852),f4(x59851,x59853))),
% 58.70/58.86 inference(scs_inference,[],[5615,10,5978,109,32,25,42,15])).
% 58.70/58.86 cnf(5987,plain,
% 58.70/58.86 (~P3(f5(x59871,x59872),f5(f4(x59871,x59873),x59874))+P11(f5(x59871,x59872),f4(x59871,x59873))),
% 58.70/58.86 inference(scs_inference,[],[5615,10,5978,109,32,25,42,15,18])).
% 58.70/58.86 cnf(6045,plain,
% 58.70/58.86 (P4(f4(a3,x60451),a2)),
% 58.70/58.86 inference(scs_inference,[],[5660,9,109,31])).
% 58.70/58.86 cnf(6177,plain,
% 58.70/58.86 (P4(a3,a2)),
% 58.70/58.86 inference(scs_inference,[],[5689,9,10,109,32,31])).
% 58.70/58.86 cnf(6266,plain,
% 58.70/58.86 (~P4(f5(x62661,x62662),f5(f4(x62661,x62663),x62664))),
% 58.70/58.86 inference(scs_inference,[],[5450,6,5878,109,37,5982])).
% 58.70/58.86 cnf(6270,plain,
% 58.70/58.86 (~P3(f5(x62701,x62702),f5(f4(x62701,x62703),x62704))),
% 58.70/58.86 inference(scs_inference,[],[5450,6,5878,109,37,5982,5985,5987])).
% 58.70/58.86 cnf(6374,plain,
% 58.70/58.86 (~P4(f4(x63741,x63742),x63741)),
% 58.70/58.86 inference(rename_variables,[],[9])).
% 58.70/58.86 cnf(6376,plain,
% 58.70/58.86 (~P11(f4(f5(x63761,x63762),x63763),f4(x63761,x63764))),
% 58.70/58.86 inference(scs_inference,[],[5713,9,6374,5878,5563,109,31,37])).
% 58.70/58.86 cnf(6669,plain,
% 58.70/58.86 (~P4(x66691,f5(f5(x66691,x66692),x66693))),
% 58.70/58.86 inference(scs_inference,[],[5914,83,109,86,28,29])).
% 58.70/58.86 cnf(6826,plain,
% 58.70/58.86 (~P11(f4(x68261,x68262),f5(x68261,x68263))),
% 58.70/58.86 inference(rename_variables,[],[5878])).
% 58.70/58.86 cnf(6828,plain,
% 58.70/58.86 (~P11(f4(f5(x68281,x68282),x68283),x68281)),
% 58.70/58.86 inference(scs_inference,[],[5590,5878,6826,2422,6669,109,37,40])).
% 58.70/58.86 cnf(6930,plain,
% 58.70/58.86 (~P11(x69301,f5(x69301,x69302))),
% 58.70/58.86 inference(scs_inference,[],[2377,5623,6266,109,40])).
% 58.70/58.86 cnf(7276,plain,
% 58.70/58.86 (P4(a2,a3)),
% 58.70/58.86 inference(scs_inference,[],[6045,9,6376,109,32,31])).
% 58.70/58.86 cnf(9796,plain,
% 58.70/58.86 (P3(a3,a2)),
% 58.70/58.86 inference(scs_inference,[],[7276,6,6828,109,32,29])).
% 58.70/58.86 cnf(10391,plain,
% 58.70/58.86 (~P4(f5(x103911,x103912),f5(x103911,x103913))),
% 58.70/58.86 inference(scs_inference,[],[6266,109,6270,29])).
% 58.70/58.86 cnf(10681,plain,
% 58.70/58.86 (P11(a2,f5(a3,x106811))+P5(x106812,a3)),
% 58.70/58.86 inference(scs_inference,[],[9796,10391,6930,109,15,44])).
% 58.70/58.86 cnf(10685,plain,
% 58.70/58.86 (P5(x106851,a3)+~P1(a2,f5(a3,x106852))),
% 58.70/58.86 inference(scs_inference,[],[9796,10391,6930,109,15,44,25])).
% 58.70/58.86 cnf(10690,plain,
% 58.70/58.86 (~P5(x106901,x106902)),
% 58.70/58.86 inference(rename_variables,[],[109])).
% 58.70/58.86 cnf(10697,plain,
% 58.70/58.86 (P11(a1,a3)),
% 58.70/58.86 inference(scs_inference,[],[1,6177,109,10690,10681,10685,25,32])).
% 58.70/58.86 cnf(10714,plain,
% 58.70/58.86 ($false),
% 58.70/58.86 inference(scs_inference,[],[10697,2,25]),
% 58.70/58.86 ['proof']).
% 58.70/58.86 % SZS output end Proof
% 58.70/58.86 % Total time :58.080000s
%------------------------------------------------------------------------------