TSTP Solution File: GEO218+3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO218+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 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 : Wed Aug 30 22:43:47 EDT 2023
% Result : Theorem 0.64s 0.98s
% Output : CNFRefutation 0.64s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.13/0.14 % Problem : GEO218+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.16/0.37 % Computer : n027.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Tue Aug 29 21:48:38 EDT 2023
% 0.16/0.37 % CPUTime :
% 0.23/0.61 start to proof:theBenchmark
% 0.64/0.97 %-------------------------------------------
% 0.64/0.97 % File :CSE---1.6
% 0.64/0.97 % Problem :theBenchmark
% 0.64/0.97 % Transform :cnf
% 0.64/0.97 % Format :tptp:raw
% 0.64/0.97 % Command :java -jar mcs_scs.jar %d %s
% 0.64/0.97
% 0.64/0.97 % Result :Theorem 0.280000s
% 0.64/0.97 % Output :CNFRefutation 0.280000s
% 0.64/0.97 %-------------------------------------------
% 0.64/0.97 %------------------------------------------------------------------------------
% 0.64/0.97 % File : GEO218+3 : TPTP v8.1.2. Released v4.0.0.
% 0.64/0.97 % Domain : Geometry (Constructive)
% 0.64/0.97 % Problem : Transitivity of parallel and orthogonal
% 0.64/0.97 % Version : [vPl95] axioms.
% 0.64/0.97 % English : If two lines L and M are parallel and a third line N is
% 0.64/0.97 % orthogonal to L, then M is orthogonal to N.
% 0.64/0.97
% 0.64/0.97 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.64/0.97 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.64/0.97 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.64/0.97 % Source : [Rat07]
% 0.64/0.98 % Names : Theorem 8.7.ii [vPl95]
% 0.64/0.98
% 0.64/0.98 % Status : Theorem
% 0.64/0.98 % 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, 0.10 v4.1.0, 0.06 v4.0.1, 0.05 v4.0.0
% 0.64/0.98 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.64/0.98 % Number of atoms : 96 ( 0 equ)
% 0.64/0.98 % Maximal formula atoms : 6 ( 2 avg)
% 0.64/0.98 % Number of connectives : 88 ( 28 ~; 19 |; 14 &)
% 0.64/0.98 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.64/0.98 % Maximal formula depth : 9 ( 5 avg)
% 0.64/0.98 % Maximal term depth : 2 ( 1 avg)
% 0.64/0.98 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.64/0.98 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.64/0.98 % Number of variables : 84 ( 84 !; 0 ?)
% 0.64/0.98 % SPC : FOF_THM_RFO_NEQ
% 0.64/0.98
% 0.64/0.98 % Comments :
% 0.64/0.98 %------------------------------------------------------------------------------
% 0.64/0.98 include('Axioms/GEO006+0.ax').
% 0.64/0.98 include('Axioms/GEO006+1.ax').
% 0.64/0.98 include('Axioms/GEO006+2.ax').
% 0.64/0.98 include('Axioms/GEO006+3.ax').
% 0.64/0.98 include('Axioms/GEO006+4.ax').
% 0.64/0.98 include('Axioms/GEO006+5.ax').
% 0.64/0.98 include('Axioms/GEO006+6.ax').
% 0.64/0.98 %------------------------------------------------------------------------------
% 0.64/0.98 fof(con,conjecture,
% 0.64/0.98 ! [L,M,N] :
% 0.64/0.98 ( ( parallel_lines(L,M)
% 0.64/0.98 & orthogonal_lines(L,N) )
% 0.64/0.98 => orthogonal_lines(M,N) ) ).
% 0.64/0.98
% 0.64/0.98 %------------------------------------------------------------------------------
% 0.64/0.98 %-------------------------------------------
% 0.64/0.98 % Proof found
% 0.64/0.98 % SZS status Theorem for theBenchmark
% 0.64/0.98 % SZS output start Proof
% 0.64/0.98 %ClaNum:49(EqnAxiom:0)
% 0.64/0.98 %VarNum:218(SingletonVarNum:98)
% 0.64/0.98 %MaxLitNum:6
% 0.64/0.98 %MaxfuncDepth:1
% 0.64/0.98 %SharedTerms:6
% 0.64/0.98 %goalClause: 1 2 3
% 0.64/0.98 %singleGoalClaCount:3
% 0.64/0.98 [1]P1(a1,a2)
% 0.64/0.98 [2]P2(a1,a3)
% 0.64/0.98 [3]~P2(a2,a3)
% 0.64/0.98 [4]~P3(x41,x41)
% 0.64/0.98 [5]~P4(x51,x51)
% 0.64/0.98 [6]~P5(x61,x61)
% 0.64/0.98 [7]~P6(x71,f4(x72,x71))
% 0.64/0.98 [8]~P6(x81,f5(x82,x81))
% 0.64/0.98 [9]~P5(f4(x91,x92),x91)
% 0.64/0.98 [10]~P11(f5(x101,x102),x101)
% 0.64/0.98 [11]P7(x111,x112)+P3(x111,x112)
% 0.64/0.98 [12]P8(x121,x122)+P4(x121,x122)
% 0.64/0.98 [14]P11(x141,x142)+P5(x141,x142)
% 0.64/0.98 [15]P1(x151,x152)+P5(x151,x152)
% 0.64/0.98 [16]P9(x161,x162)+P6(x161,x162)
% 0.64/0.98 [17]P2(x171,x172)+P11(x171,x172)
% 0.64/0.98 [18]~P4(x181,x182)+P5(x181,x182)
% 0.64/0.98 [21]~P7(x211,x212)+~P3(x211,x212)
% 0.64/0.98 [22]~P8(x221,x222)+~P4(x221,x222)
% 0.64/0.98 [23]~P1(x231,x232)+~P5(x231,x232)
% 0.64/0.98 [24]~P9(x241,x242)+~P6(x241,x242)
% 0.64/0.98 [25]~P2(x251,x252)+~P11(x251,x252)
% 0.64/0.98 [45]~P3(x451,x452)+~P6(x452,f7(x451,x452))
% 0.64/0.98 [46]~P3(x461,x462)+~P6(x461,f7(x461,x462))
% 0.64/0.98 [47]~P5(x471,x472)+~P6(f6(x471,x472),x472)
% 0.64/0.98 [48]~P5(x481,x482)+~P6(f6(x481,x482),x481)
% 0.64/0.98 [19]~P12(x192)+~P10(x191)+P10(f4(x191,x192))
% 0.64/0.98 [20]~P12(x202)+~P10(x201)+P10(f5(x201,x202))
% 0.64/0.98 [26]~P3(x263,x261)+P3(x261,x262)+P3(x263,x262)
% 0.64/0.98 [27]~P6(x271,x273)+P3(x271,x272)+P6(x272,x273)
% 0.64/0.98 [28]~P4(x283,x281)+P4(x281,x282)+P4(x283,x282)
% 0.64/0.98 [29]~P5(x293,x291)+P4(x291,x292)+P5(x293,x292)
% 0.64/0.98 [30]~P6(x303,x301)+P4(x301,x302)+P6(x303,x302)
% 0.64/0.98 [31]~P5(x313,x311)+P5(x311,x312)+P5(x313,x312)
% 0.64/0.98 [32]~P5(x323,x322)+P11(x321,x322)+P11(x321,x323)
% 0.64/0.98 [34]~P10(x342)+~P10(x341)+~P5(x341,x342)+P12(f6(x341,x342))
% 0.64/0.98 [35]~P12(x352)+~P12(x351)+~P3(x351,x352)+P10(f7(x351,x352))
% 0.64/0.98 [37]~P5(x371,x373)+~P11(x371,x373)+P5(x371,x372)+P11(x373,x372)
% 0.64/0.98 [38]~P5(x382,x383)+~P11(x382,x383)+P5(x381,x382)+P5(x381,x383)
% 0.64/0.98 [39]~P5(x392,x393)+~P11(x392,x393)+P5(x391,x392)+P11(x391,x393)
% 0.64/0.98 [40]~P5(x403,x401)+~P11(x403,x401)+P5(x401,x402)+P11(x403,x402)
% 0.64/0.98 [41]~P5(x413,x412)+~P11(x413,x412)+P5(x411,x412)+P11(x411,x413)
% 0.64/0.98 [42]~P5(x421,x423)+~P11(x421,x423)+P11(x421,x422)+P11(x423,x422)
% 0.64/0.98 [44]P11(x443,x444)+~P4(x443,x442)+P6(x441,x442)+P6(x441,x443)+P11(x442,x444)
% 0.64/0.98 [49]P6(x494,x493)+~P3(x494,x491)+~P4(x493,x492)+P6(x491,x492)+P6(x491,x493)+P6(x494,x492)
% 0.64/0.98 %EqnAxiom
% 0.64/0.98
% 0.64/0.98 %-------------------------------------------
% 0.64/0.99 cnf(50,plain,
% 0.64/0.99 (~P4(f4(x501,x502),x501)),
% 0.64/0.99 inference(scs_inference,[],[9,18])).
% 0.64/0.99 cnf(56,plain,
% 0.64/0.99 (P11(x561,x561)),
% 0.64/0.99 inference(scs_inference,[],[6,7,9,10,18,17,16,15,14])).
% 0.64/0.99 cnf(62,plain,
% 0.64/0.99 (~P11(a1,a3)),
% 0.64/0.99 inference(scs_inference,[],[4,5,6,2,7,9,10,18,17,16,15,14,12,11,25])).
% 0.64/0.99 cnf(64,plain,
% 0.64/0.99 (~P5(a1,a2)),
% 0.64/0.99 inference(scs_inference,[],[1,4,5,6,2,7,9,10,18,17,16,15,14,12,11,25,23])).
% 0.64/0.99 cnf(66,plain,
% 0.64/0.99 (~P11(x661,f5(x661,x662))+~P5(x661,f5(x661,x662))),
% 0.64/0.99 inference(scs_inference,[],[1,4,5,6,2,7,9,10,18,17,16,15,14,12,11,25,23,41])).
% 0.64/0.99 cnf(67,plain,
% 0.64/0.99 (~P5(x671,x671)),
% 0.64/0.99 inference(rename_variables,[],[6])).
% 0.64/0.99 cnf(69,plain,
% 0.64/0.99 (~P5(x691,f4(x691,x692))),
% 0.64/0.99 inference(scs_inference,[],[1,4,5,6,67,2,7,9,10,18,17,16,15,14,12,11,25,23,41,31])).
% 0.64/0.99 cnf(80,plain,
% 0.64/0.99 (P11(a2,a3)),
% 0.64/0.99 inference(scs_inference,[],[3,56,25,17])).
% 0.64/0.99 cnf(82,plain,
% 0.64/0.99 (P5(f5(x821,x822),x821)),
% 0.64/0.99 inference(scs_inference,[],[3,10,56,25,17,14])).
% 0.64/0.99 cnf(86,plain,
% 0.64/0.99 (P5(x861,f5(x861,x862))),
% 0.64/0.99 inference(scs_inference,[],[3,6,10,56,25,17,14,23,31])).
% 0.64/0.99 cnf(87,plain,
% 0.64/0.99 (~P5(x871,x871)),
% 0.64/0.99 inference(rename_variables,[],[6])).
% 0.64/0.99 cnf(89,plain,
% 0.64/0.99 (~P11(x891,f5(x891,x892))),
% 0.64/0.99 inference(scs_inference,[],[3,6,10,56,25,17,14,23,31,66])).
% 0.64/0.99 cnf(95,plain,
% 0.64/0.99 (~P5(f4(x951,x952),x951)),
% 0.64/0.99 inference(rename_variables,[],[9])).
% 0.64/0.99 cnf(101,plain,
% 0.64/0.99 (~P5(f4(x1011,x1012),x1011)),
% 0.64/0.99 inference(rename_variables,[],[9])).
% 0.64/0.99 cnf(103,plain,
% 0.64/0.99 (~P5(f4(x1031,x1032),f4(x1031,x1033))),
% 0.64/0.99 inference(scs_inference,[],[3,8,9,95,101,6,87,7,10,56,50,25,17,14,23,31,66,44,39,37,38,29])).
% 0.64/0.99 cnf(105,plain,
% 0.64/0.99 (~P4(x1051,f4(x1051,x1052))),
% 0.64/0.99 inference(scs_inference,[],[3,8,5,9,95,101,6,87,7,10,56,50,25,17,14,23,31,66,44,39,37,38,29,28])).
% 0.64/0.99 cnf(107,plain,
% 0.64/0.99 (P11(a3,x1071)+~P5(a2,a3)+P11(a2,x1071)),
% 0.64/0.99 inference(scs_inference,[],[3,8,5,9,95,101,6,87,7,10,56,50,25,17,14,23,31,66,44,39,37,38,29,28,42])).
% 0.64/0.99 cnf(113,plain,
% 0.64/0.99 (P11(f5(f5(x1131,x1132),x1133),x1131)),
% 0.64/0.99 inference(scs_inference,[],[10,82,32])).
% 0.64/0.99 cnf(118,plain,
% 0.64/0.99 (~P4(x1181,f4(f4(x1181,x1182),x1183))),
% 0.64/0.99 inference(scs_inference,[],[50,10,82,89,105,32,17,28])).
% 0.64/0.99 cnf(121,plain,
% 0.64/0.99 (P4(f5(f4(x1211,x1212),x1213),x1211)),
% 0.64/0.99 inference(scs_inference,[],[50,9,10,82,86,89,105,32,17,28,29])).
% 0.64/0.99 cnf(126,plain,
% 0.64/0.99 (P5(f5(f4(x1261,x1262),x1263),x1261)),
% 0.64/0.99 inference(scs_inference,[],[50,9,10,82,86,89,105,32,17,28,29,14,31])).
% 0.64/0.99 cnf(147,plain,
% 0.64/0.99 (~P11(f5(f4(x1471,x1472),x1473),x1471)),
% 0.64/0.99 inference(scs_inference,[],[10,126,69,40])).
% 0.64/0.99 cnf(148,plain,
% 0.64/0.99 (~P11(f5(x1481,x1482),x1481)),
% 0.64/0.99 inference(rename_variables,[],[10])).
% 0.64/0.99 cnf(149,plain,
% 0.64/0.99 (P5(f5(f4(x1491,x1492),x1493),x1491)),
% 0.64/0.99 inference(rename_variables,[],[126])).
% 0.64/0.99 cnf(154,plain,
% 0.64/0.99 (P5(a1,a3)),
% 0.64/0.99 inference(scs_inference,[],[10,148,126,149,69,62,40,32,14])).
% 0.64/0.99 cnf(158,plain,
% 0.64/0.99 (~P11(x1581,f5(f4(x1581,x1582),x1583))+~P5(x1581,f5(f4(x1581,x1582),x1583))),
% 0.64/0.99 inference(scs_inference,[],[10,148,9,121,126,149,69,62,89,40,32,14,22,39])).
% 0.64/0.99 cnf(163,plain,
% 0.64/0.99 (~P5(x1631,f5(f5(x1631,x1632),x1633))),
% 0.64/0.99 inference(scs_inference,[],[10,89,32])).
% 0.64/0.99 cnf(170,plain,
% 0.64/0.99 (~P5(f5(f5(x1701,x1702),x1703),x1701)),
% 0.64/0.99 inference(scs_inference,[],[6,10,9,113,64,89,32,14,15,38])).
% 0.64/0.99 cnf(177,plain,
% 0.64/0.99 (~P4(a1,a2)),
% 0.64/0.99 inference(scs_inference,[],[50,8,6,10,9,113,64,89,32,14,15,38,16,12,18])).
% 0.64/0.99 cnf(183,plain,
% 0.64/0.99 (P5(f5(f4(a1,x1831),x1832),a2)),
% 0.64/0.99 inference(scs_inference,[],[50,8,6,10,9,113,64,126,89,32,14,15,38,16,12,18,37,31])).
% 0.64/0.99 cnf(195,plain,
% 0.64/0.99 (~P6(x1951,x1952)),
% 0.64/0.99 inference(scs_inference,[],[7,118,30])).
% 0.64/0.99 cnf(199,plain,
% 0.64/0.99 (P11(a1,f5(a3,x1991))),
% 0.64/0.99 inference(scs_inference,[],[7,118,86,62,30,32])).
% 0.64/0.99 cnf(202,plain,
% 0.64/0.99 (P5(a2,f5(f4(a1,x2021),x2022))),
% 0.64/0.99 inference(scs_inference,[],[7,6,118,183,86,62,30,32,31])).
% 0.64/0.99 cnf(227,plain,
% 0.64/0.99 (P11(f5(a3,x2271),a1)),
% 0.64/0.99 inference(scs_inference,[],[10,154,32])).
% 0.64/0.99 cnf(232,plain,
% 0.64/0.99 (~P5(a2,a1)),
% 0.64/0.99 inference(scs_inference,[],[6,10,163,177,154,32,14,29])).
% 0.64/0.99 cnf(257,plain,
% 0.64/0.99 (P4(x2571,f5(f4(x2571,x2572),x2573))),
% 0.64/0.99 inference(scs_inference,[],[6,126,29])).
% 0.64/0.99 cnf(260,plain,
% 0.64/0.99 (P4(f5(f4(a1,x2601),x2602),a2)),
% 0.64/0.99 inference(scs_inference,[],[6,177,126,29,28])).
% 0.64/0.99 cnf(264,plain,
% 0.64/0.99 (P11(f5(f4(a1,x2641),x2642),a3)+P6(x2643,a1)),
% 0.64/0.99 inference(scs_inference,[],[6,195,177,121,126,62,29,28,22,44])).
% 0.64/0.99 cnf(268,plain,
% 0.64/0.99 (P5(f5(a2,x2681),a1)),
% 0.64/0.99 inference(scs_inference,[],[6,232,195,177,121,126,82,62,29,28,22,44,31])).
% 0.64/0.99 cnf(274,plain,
% 0.64/0.99 (P5(x2741,f5(f4(x2741,x2742),x2743))),
% 0.64/0.99 inference(scs_inference,[],[257,18])).
% 0.64/0.99 cnf(276,plain,
% 0.64/0.99 (~P11(f5(a2,x2761),a1)),
% 0.64/0.99 inference(scs_inference,[],[257,268,232,89,18,41])).
% 0.64/0.99 cnf(279,plain,
% 0.64/0.99 (P5(a1,f5(a2,x2791))),
% 0.64/0.99 inference(scs_inference,[],[6,257,268,232,89,18,41,31])).
% 0.64/0.99 cnf(282,plain,
% 0.64/0.99 (P11(f5(f4(a1,x2821),x2822),a3)),
% 0.64/0.99 inference(scs_inference,[],[6,257,268,232,195,89,18,41,31,264])).
% 0.64/0.99 cnf(285,plain,
% 0.64/0.99 (~P11(x2851,f5(f4(x2851,x2852),x2853))),
% 0.64/0.99 inference(scs_inference,[],[6,257,268,232,195,89,18,41,31,264,158])).
% 0.64/0.99 cnf(310,plain,
% 0.64/0.99 (~P4(x3101,f5(f5(x3101,x3102),x3103))),
% 0.64/0.99 inference(scs_inference,[],[163,18])).
% 0.64/0.99 cnf(312,plain,
% 0.64/0.99 (~P11(a1,f5(a2,x3121))),
% 0.64/0.99 inference(scs_inference,[],[10,279,163,64,18,37])).
% 0.64/0.99 cnf(313,plain,
% 0.64/0.99 (~P11(f5(x3131,x3132),x3131)),
% 0.64/0.99 inference(rename_variables,[],[10])).
% 0.64/0.99 cnf(324,plain,
% 0.64/0.99 (P11(f4(x3241,x3242),f4(x3241,x3243))),
% 0.64/0.99 inference(scs_inference,[],[10,313,285,279,163,103,232,147,64,18,37,107,42,40,14])).
% 0.64/0.99 cnf(326,plain,
% 0.64/0.99 (P5(f5(f4(a2,x3261),x3262),a1)),
% 0.64/0.99 inference(scs_inference,[],[10,313,274,285,279,163,103,232,147,64,18,37,107,42,40,14,31])).
% 0.64/0.99 cnf(329,plain,
% 0.64/0.99 (P5(f5(a2,x3291),f5(f5(a1,x3292),x3293))),
% 0.64/0.99 inference(scs_inference,[],[310,268,29])).
% 0.64/0.99 cnf(332,plain,
% 0.64/0.99 (~P11(f5(f4(a2,x3321),x3322),a1)),
% 0.64/0.99 inference(scs_inference,[],[310,326,285,268,232,29,41])).
% 0.64/0.99 cnf(333,plain,
% 0.64/0.99 (P5(f5(f4(a2,x3331),x3332),a1)),
% 0.64/0.99 inference(rename_variables,[],[326])).
% 0.64/0.99 cnf(351,plain,
% 0.64/0.99 (P5(f5(f4(a2,x3511),x3512),f4(a1,x3513))),
% 0.64/0.99 inference(scs_inference,[],[10,310,324,282,326,333,312,276,285,274,170,268,69,232,29,41,17,25,18,23,32,40,31])).
% 0.64/0.99 cnf(358,plain,
% 0.64/0.99 (~P5(f4(f4(x3581,x3582),x3583),x3581)),
% 0.64/0.99 inference(scs_inference,[],[6,118,29])).
% 0.64/0.99 cnf(359,plain,
% 0.64/0.99 (~P5(x3591,x3591)),
% 0.64/0.99 inference(rename_variables,[],[6])).
% 0.64/0.99 cnf(361,plain,
% 0.64/0.99 (~P11(f5(f4(a2,x3611),x3612),f4(a1,x3613))),
% 0.64/0.99 inference(scs_inference,[],[6,9,351,332,118,29,40])).
% 0.64/0.99 cnf(369,plain,
% 0.64/0.99 (P5(f5(f5(a1,x3691),x3692),f5(a2,x3693))),
% 0.64/0.99 inference(scs_inference,[],[6,359,9,10,329,351,332,326,118,29,40,32,31])).
% 0.64/0.99 cnf(386,plain,
% 0.64/0.99 (~P11(f5(f5(a1,x3861),x3862),f5(a2,x3863))),
% 0.64/0.99 inference(scs_inference,[],[369,312,163,39])).
% 0.64/0.99 cnf(388,plain,
% 0.64/0.99 (P5(f5(f5(a1,x3881),x3882),f5(a2,x3883))),
% 0.64/0.99 inference(rename_variables,[],[369])).
% 0.64/0.99 cnf(394,plain,
% 0.64/0.99 (P4(f5(a2,x3941),a1)),
% 0.64/0.99 inference(scs_inference,[],[369,388,260,312,163,170,5,39,28,29])).
% 0.64/0.99 cnf(397,plain,
% 0.64/0.99 (~P5(a3,f5(f4(a1,x3971),x3972))),
% 0.64/0.99 inference(scs_inference,[],[62,369,388,260,312,163,285,170,5,39,28,29,32])).
% 0.64/0.99 cnf(400,plain,
% 0.64/0.99 (~P5(f4(f4(x4001,x4002),x4003),f4(x4001,x4004))),
% 0.64/0.99 inference(scs_inference,[],[9,62,358,369,388,260,312,163,285,170,5,39,28,29,32,31])).
% 0.64/0.99 cnf(416,plain,
% 0.64/0.99 (~P5(a1,f5(a3,x4161))),
% 0.64/0.99 inference(scs_inference,[],[62,10,199,42])).
% 0.64/0.99 cnf(419,plain,
% 0.64/0.99 (P5(a1,f5(f5(a3,x4191),x4192))),
% 0.64/0.99 inference(scs_inference,[],[62,10,310,199,154,42,29])).
% 0.64/0.99 cnf(420,plain,
% 0.64/0.99 (~P4(x4201,f5(f5(x4201,x4202),x4203))),
% 0.64/0.99 inference(rename_variables,[],[310])).
% 0.64/0.99 cnf(422,plain,
% 0.64/0.99 (P4(f5(a2,x4221),f5(f5(a1,x4222),x4223))),
% 0.64/0.99 inference(scs_inference,[],[62,10,394,310,420,199,154,42,29,28])).
% 0.64/0.99 cnf(432,plain,
% 0.64/0.99 (P5(f5(f4(a2,x4321),x4322),f5(a3,x4323))),
% 0.64/0.99 inference(scs_inference,[],[62,10,394,310,420,329,326,199,274,312,154,163,42,29,28,32,41,31])).
% 0.64/0.99 cnf(434,plain,
% 0.64/0.99 (P11(f4(f4(x4341,x4342),x4343),f4(x4341,x4344))),
% 0.64/0.99 inference(scs_inference,[],[62,10,400,394,310,420,329,326,199,274,312,154,163,42,29,28,32,41,31,14])).
% 0.64/0.99 cnf(440,plain,
% 0.64/0.99 (~P5(a2,a3)),
% 0.64/0.99 inference(scs_inference,[],[64,62,80,39])).
% 0.64/0.99 cnf(443,plain,
% 0.64/0.99 (~P4(f4(x4431,x4432),x4431)),
% 0.64/0.99 inference(rename_variables,[],[50])).
% 0.64/0.99 cnf(451,plain,
% 0.64/0.99 (P5(f5(f5(a3,x4511),x4512),a2)),
% 0.64/0.99 inference(scs_inference,[],[10,64,50,443,62,419,80,279,105,39,29,28,32,31])).
% 0.64/0.99 cnf(460,plain,
% 0.64/0.99 (~P4(a1,f5(a3,x4601))),
% 0.64/0.99 inference(scs_inference,[],[10,64,50,443,62,434,386,419,416,80,279,105,69,39,29,28,32,31,38,17,25,18])).
% 0.64/0.99 cnf(464,plain,
% 0.64/0.99 (~P11(a1,f5(f5(a3,x4641),x4642))),
% 0.64/0.99 inference(scs_inference,[],[10,64,50,443,62,434,386,432,419,416,80,279,105,170,69,39,29,28,32,31,38,17,25,18,23,40])).
% 0.64/1.00 cnf(487,plain,
% 0.64/1.00 (P5(f5(f4(a1,x4871),x4872),f5(a3,x4873))),
% 0.64/1.00 inference(scs_inference,[],[64,422,460,397,358,419,257,202,28,29,31,22,38,18])).
% 0.64/1.00 cnf(529,plain,
% 0.64/1.00 (P5(f5(f5(a3,x5291),x5292),a2)),
% 0.64/1.00 inference(rename_variables,[],[451])).
% 0.64/1.00 cnf(531,plain,
% 0.64/1.00 ($false),
% 0.64/1.00 inference(scs_inference,[],[62,64,440,487,451,529,464,361,460,397,394,227,268,147,170,89,10,39,18,32,28,42,29,41,31]),
% 0.64/1.00 ['proof']).
% 0.64/1.00 % SZS output end Proof
% 0.64/1.00 % Total time :0.280000s
%------------------------------------------------------------------------------