TSTP Solution File: GEO219+3 by CSE---1.6
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO219+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 : n009.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 22:43:48 EDT 2023
% Result : Theorem 0.54s 0.95s
% Output : CNFRefutation 0.54s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GEO219+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue Aug 29 22:26:05 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.53/0.57 start to proof:theBenchmark
% 0.54/0.94 %-------------------------------------------
% 0.54/0.94 % File :CSE---1.6
% 0.54/0.94 % Problem :theBenchmark
% 0.54/0.94 % Transform :cnf
% 0.54/0.94 % Format :tptp:raw
% 0.54/0.94 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.94
% 0.54/0.94 % Result :Theorem 0.310000s
% 0.54/0.94 % Output :CNFRefutation 0.310000s
% 0.54/0.94 %-------------------------------------------
% 0.54/0.94 %------------------------------------------------------------------------------
% 0.54/0.94 % File : GEO219+3 : TPTP v8.1.2. Released v4.0.0.
% 0.54/0.94 % Domain : Geometry (Constructive)
% 0.54/0.94 % Problem : Transitivity of orthogonal and parallel
% 0.54/0.94 % Version : [vPl95] axioms.
% 0.54/0.94 % English : If line L is orthogonal to M and a line N is parallel to L,
% 0.54/0.94 % then M is orthogonal to N.
% 0.54/0.94
% 0.54/0.94 % Refs : [vPl95] von Plato (1995), The Axioms of Constructive Geometry
% 0.54/0.94 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.54/0.94 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.54/0.94 % Source : [Rat07]
% 0.54/0.94 % Names : Theorem 8.7.iii [vPl95]
% 0.54/0.94
% 0.54/0.95 % Status : Theorem
% 0.54/0.95 % 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
% 0.54/0.95 % Syntax : Number of formulae : 36 ( 7 unt; 0 def)
% 0.54/0.95 % Number of atoms : 96 ( 0 equ)
% 0.54/0.95 % Maximal formula atoms : 6 ( 2 avg)
% 0.54/0.95 % Number of connectives : 88 ( 28 ~; 19 |; 14 &)
% 0.54/0.95 % ( 5 <=>; 22 =>; 0 <=; 0 <~>)
% 0.54/0.95 % Maximal formula depth : 9 ( 5 avg)
% 0.54/0.95 % Maximal term depth : 2 ( 1 avg)
% 0.54/0.95 % Number of predicates : 12 ( 12 usr; 0 prp; 1-2 aty)
% 0.54/0.95 % Number of functors : 4 ( 4 usr; 0 con; 2-2 aty)
% 0.54/0.95 % Number of variables : 84 ( 84 !; 0 ?)
% 0.54/0.95 % SPC : FOF_THM_RFO_NEQ
% 0.54/0.95
% 0.54/0.95 % Comments :
% 0.54/0.95 %------------------------------------------------------------------------------
% 0.54/0.95 include('Axioms/GEO006+0.ax').
% 0.54/0.95 include('Axioms/GEO006+1.ax').
% 0.54/0.95 include('Axioms/GEO006+2.ax').
% 0.54/0.95 include('Axioms/GEO006+3.ax').
% 0.54/0.95 include('Axioms/GEO006+4.ax').
% 0.54/0.95 include('Axioms/GEO006+5.ax').
% 0.54/0.95 include('Axioms/GEO006+6.ax').
% 0.54/0.95 %------------------------------------------------------------------------------
% 0.54/0.95 fof(con,conjecture,
% 0.54/0.95 ! [L,M,N] :
% 0.54/0.95 ( ( orthogonal_lines(L,M)
% 0.54/0.95 & parallel_lines(L,N) )
% 0.54/0.95 => orthogonal_lines(M,N) ) ).
% 0.54/0.95
% 0.54/0.95 %------------------------------------------------------------------------------
% 0.54/0.95 %-------------------------------------------
% 0.54/0.95 % Proof found
% 0.54/0.95 % SZS status Theorem for theBenchmark
% 0.54/0.95 % SZS output start Proof
% 0.54/0.95 %ClaNum:49(EqnAxiom:0)
% 0.54/0.95 %VarNum:218(SingletonVarNum:98)
% 0.54/0.95 %MaxLitNum:6
% 0.54/0.95 %MaxfuncDepth:1
% 0.54/0.95 %SharedTerms:6
% 0.54/0.95 %goalClause: 1 2 3
% 0.54/0.95 %singleGoalClaCount:3
% 0.54/0.95 [1]P1(a1,a2)
% 0.54/0.95 [2]P2(a1,a3)
% 0.54/0.95 [3]~P2(a3,a2)
% 0.54/0.95 [4]~P3(x41,x41)
% 0.54/0.95 [5]~P4(x51,x51)
% 0.54/0.95 [6]~P5(x61,x61)
% 0.54/0.95 [7]~P6(x71,f4(x72,x71))
% 0.54/0.95 [8]~P6(x81,f5(x82,x81))
% 0.54/0.95 [9]~P5(f4(x91,x92),x91)
% 0.54/0.95 [10]~P11(f5(x101,x102),x101)
% 0.54/0.95 [11]P7(x111,x112)+P3(x111,x112)
% 0.54/0.95 [12]P8(x121,x122)+P4(x121,x122)
% 0.54/0.95 [14]P11(x141,x142)+P5(x141,x142)
% 0.54/0.95 [15]P1(x151,x152)+P5(x151,x152)
% 0.54/0.95 [16]P9(x161,x162)+P6(x161,x162)
% 0.54/0.95 [17]P2(x171,x172)+P11(x171,x172)
% 0.54/0.95 [18]~P4(x181,x182)+P5(x181,x182)
% 0.54/0.95 [21]~P7(x211,x212)+~P3(x211,x212)
% 0.54/0.95 [22]~P8(x221,x222)+~P4(x221,x222)
% 0.54/0.95 [23]~P1(x231,x232)+~P5(x231,x232)
% 0.54/0.95 [24]~P9(x241,x242)+~P6(x241,x242)
% 0.54/0.95 [25]~P2(x251,x252)+~P11(x251,x252)
% 0.54/0.95 [45]~P3(x451,x452)+~P6(x452,f7(x451,x452))
% 0.54/0.95 [46]~P3(x461,x462)+~P6(x461,f7(x461,x462))
% 0.54/0.95 [47]~P5(x471,x472)+~P6(f6(x471,x472),x472)
% 0.54/0.95 [48]~P5(x481,x482)+~P6(f6(x481,x482),x481)
% 0.54/0.95 [19]~P12(x192)+~P10(x191)+P10(f4(x191,x192))
% 0.54/0.95 [20]~P12(x202)+~P10(x201)+P10(f5(x201,x202))
% 0.54/0.95 [26]~P3(x263,x261)+P3(x261,x262)+P3(x263,x262)
% 0.54/0.95 [27]~P6(x271,x273)+P3(x271,x272)+P6(x272,x273)
% 0.54/0.95 [28]~P4(x283,x281)+P4(x281,x282)+P4(x283,x282)
% 0.54/0.95 [29]~P5(x293,x291)+P4(x291,x292)+P5(x293,x292)
% 0.54/0.95 [30]~P6(x303,x301)+P4(x301,x302)+P6(x303,x302)
% 0.54/0.95 [31]~P5(x313,x311)+P5(x311,x312)+P5(x313,x312)
% 0.54/0.95 [32]~P5(x323,x322)+P11(x321,x322)+P11(x321,x323)
% 0.54/0.95 [34]~P10(x342)+~P10(x341)+~P5(x341,x342)+P12(f6(x341,x342))
% 0.54/0.95 [35]~P12(x352)+~P12(x351)+~P3(x351,x352)+P10(f7(x351,x352))
% 0.54/0.95 [37]~P5(x371,x373)+~P11(x371,x373)+P5(x371,x372)+P11(x373,x372)
% 0.54/0.95 [38]~P5(x382,x383)+~P11(x382,x383)+P5(x381,x382)+P5(x381,x383)
% 0.54/0.95 [39]~P5(x392,x393)+~P11(x392,x393)+P5(x391,x392)+P11(x391,x393)
% 0.54/0.95 [40]~P5(x403,x401)+~P11(x403,x401)+P5(x401,x402)+P11(x403,x402)
% 0.54/0.95 [41]~P5(x413,x412)+~P11(x413,x412)+P5(x411,x412)+P11(x411,x413)
% 0.54/0.95 [42]~P5(x421,x423)+~P11(x421,x423)+P11(x421,x422)+P11(x423,x422)
% 0.54/0.95 [44]P11(x443,x444)+~P4(x443,x442)+P6(x441,x442)+P6(x441,x443)+P11(x442,x444)
% 0.54/0.95 [49]P6(x494,x493)+~P3(x494,x491)+~P4(x493,x492)+P6(x491,x492)+P6(x491,x493)+P6(x494,x492)
% 0.54/0.95 %EqnAxiom
% 0.54/0.95
% 0.54/0.95 %-------------------------------------------
% 0.54/0.95 cnf(50,plain,
% 0.54/0.95 (~P4(f4(x501,x502),x501)),
% 0.54/0.95 inference(scs_inference,[],[9,18])).
% 0.54/0.95 cnf(56,plain,
% 0.54/0.95 (P11(x561,x561)),
% 0.54/0.95 inference(scs_inference,[],[6,7,9,10,18,17,16,15,14])).
% 0.54/0.95 cnf(62,plain,
% 0.54/0.95 (~P11(a1,a3)),
% 0.54/0.95 inference(scs_inference,[],[4,5,6,2,7,9,10,18,17,16,15,14,12,11,25])).
% 0.54/0.95 cnf(64,plain,
% 0.54/0.95 (~P5(a1,a2)),
% 0.54/0.95 inference(scs_inference,[],[1,4,5,6,2,7,9,10,18,17,16,15,14,12,11,25,23])).
% 0.54/0.95 cnf(66,plain,
% 0.54/0.95 (~P11(x661,f5(x661,x662))+~P5(x661,f5(x661,x662))),
% 0.54/0.95 inference(scs_inference,[],[1,4,5,6,2,7,9,10,18,17,16,15,14,12,11,25,23,41])).
% 0.54/0.95 cnf(67,plain,
% 0.54/0.95 (~P5(x671,x671)),
% 0.54/0.95 inference(rename_variables,[],[6])).
% 0.54/0.95 cnf(69,plain,
% 0.54/0.95 (~P5(x691,f4(x691,x692))),
% 0.54/0.95 inference(scs_inference,[],[1,4,5,6,67,2,7,9,10,18,17,16,15,14,12,11,25,23,41,31])).
% 0.54/0.95 cnf(74,plain,
% 0.54/0.95 (P11(f4(x741,x742),x743)+~P4(f5(x743,x742),f4(x741,x742))),
% 0.54/0.95 inference(scs_inference,[],[1,4,5,6,67,2,7,8,9,10,18,17,16,15,14,12,11,25,23,41,31,30,44])).
% 0.54/0.95 cnf(80,plain,
% 0.54/0.95 (P11(a3,a2)),
% 0.54/0.95 inference(scs_inference,[],[3,56,25,17])).
% 0.54/0.95 cnf(82,plain,
% 0.54/0.95 (P5(f5(x821,x822),x821)),
% 0.54/0.95 inference(scs_inference,[],[3,10,56,25,17,14])).
% 0.54/0.95 cnf(84,plain,
% 0.54/0.95 (P5(x841,f5(x841,x842))),
% 0.54/0.95 inference(scs_inference,[],[3,6,10,56,25,17,14,31])).
% 0.54/0.95 cnf(85,plain,
% 0.54/0.95 (~P5(x851,x851)),
% 0.54/0.95 inference(rename_variables,[],[6])).
% 0.54/0.95 cnf(89,plain,
% 0.54/0.95 (~P11(x891,f5(x891,x892))),
% 0.54/0.95 inference(scs_inference,[],[3,6,10,56,25,17,14,31,23,66])).
% 0.54/0.95 cnf(95,plain,
% 0.54/0.95 (~P5(f4(x951,x952),x951)),
% 0.54/0.95 inference(rename_variables,[],[9])).
% 0.54/0.95 cnf(101,plain,
% 0.54/0.95 (~P5(f4(x1011,x1012),x1011)),
% 0.54/0.95 inference(rename_variables,[],[9])).
% 0.54/0.95 cnf(103,plain,
% 0.54/0.95 (~P5(f4(x1031,x1032),f4(x1031,x1033))),
% 0.54/0.95 inference(scs_inference,[],[3,8,9,95,101,6,85,7,10,56,50,25,17,14,31,23,66,44,39,37,38,29])).
% 0.54/0.95 cnf(105,plain,
% 0.54/0.95 (~P4(x1051,f4(x1051,x1052))),
% 0.54/0.95 inference(scs_inference,[],[3,8,5,9,95,101,6,85,7,10,56,50,25,17,14,31,23,66,44,39,37,38,29,28])).
% 0.54/0.95 cnf(113,plain,
% 0.54/0.95 (P11(f5(f5(x1131,x1132),x1133),x1131)),
% 0.54/0.95 inference(scs_inference,[],[10,82,32])).
% 0.54/0.95 cnf(116,plain,
% 0.54/0.95 (~P4(x1161,f4(f4(x1161,x1162),x1163))),
% 0.54/0.95 inference(scs_inference,[],[50,10,82,105,32,28])).
% 0.54/0.95 cnf(119,plain,
% 0.54/0.95 (P4(f5(f4(x1191,x1192),x1193),x1191)),
% 0.54/0.95 inference(scs_inference,[],[50,9,10,82,84,105,32,28,29])).
% 0.54/0.95 cnf(126,plain,
% 0.54/0.95 (P5(f5(f4(x1261,x1262),x1263),x1261)),
% 0.54/0.95 inference(scs_inference,[],[50,9,10,82,84,89,105,32,28,29,17,14,18])).
% 0.54/0.95 cnf(128,plain,
% 0.54/0.95 (~P11(f5(f4(x1281,x1282),x1283),x1281)),
% 0.54/0.95 inference(scs_inference,[],[50,9,10,82,84,89,105,32,28,29,17,14,18,41])).
% 0.54/0.95 cnf(149,plain,
% 0.54/0.95 (P11(f5(x1491,x1492),f5(f4(x1491,x1493),x1494))),
% 0.54/0.95 inference(scs_inference,[],[10,126,32])).
% 0.54/0.95 cnf(152,plain,
% 0.54/0.95 (P5(a1,a3)),
% 0.54/0.95 inference(scs_inference,[],[10,126,62,32,14])).
% 0.54/0.95 cnf(154,plain,
% 0.54/0.95 (~P4(a1,a2)),
% 0.54/0.95 inference(scs_inference,[],[10,126,64,62,32,14,18])).
% 0.54/0.95 cnf(156,plain,
% 0.54/0.95 (~P5(a3,a2)),
% 0.54/0.95 inference(scs_inference,[],[10,126,64,62,80,32,14,18,41])).
% 0.54/0.95 cnf(160,plain,
% 0.54/0.95 (~P11(x1601,f5(f4(x1601,x1602),x1603))+~P5(x1601,f5(f4(x1601,x1602),x1603))),
% 0.54/0.95 inference(scs_inference,[],[10,9,119,126,64,62,80,89,32,14,18,41,22,39])).
% 0.54/0.95 cnf(168,plain,
% 0.54/0.95 (~P5(x1681,f5(f5(x1681,x1682),x1683))),
% 0.54/0.95 inference(scs_inference,[],[10,69,89,14,32])).
% 0.54/0.95 cnf(175,plain,
% 0.54/0.95 (~P5(f5(f5(x1751,x1752),x1753),x1751)),
% 0.54/0.95 inference(scs_inference,[],[8,6,10,9,113,69,89,14,32,16,15,38])).
% 0.54/0.95 cnf(187,plain,
% 0.54/0.95 (~P6(x1871,x1872)),
% 0.54/0.96 inference(scs_inference,[],[7,116,30])).
% 0.54/0.96 cnf(191,plain,
% 0.54/0.96 (P11(f5(a1,x1911),a3)),
% 0.54/0.96 inference(scs_inference,[],[7,10,116,152,30,32])).
% 0.54/0.96 cnf(192,plain,
% 0.54/0.96 (~P11(f5(x1921,x1922),x1921)),
% 0.54/0.96 inference(rename_variables,[],[10])).
% 0.54/0.96 cnf(199,plain,
% 0.54/0.96 (P5(a3,a1)),
% 0.54/0.96 inference(scs_inference,[],[7,6,10,192,116,128,152,30,32,42,34,31])).
% 0.54/0.96 cnf(208,plain,
% 0.54/0.96 (~P11(a3,a1)),
% 0.54/0.96 inference(scs_inference,[],[6,199,62,37])).
% 0.54/0.96 cnf(209,plain,
% 0.54/0.96 (~P5(x2091,x2091)),
% 0.54/0.96 inference(rename_variables,[],[6])).
% 0.54/0.96 cnf(211,plain,
% 0.54/0.96 (P11(f5(a3,x2111),a1)),
% 0.54/0.96 inference(scs_inference,[],[6,10,199,62,152,37,32])).
% 0.54/0.96 cnf(214,plain,
% 0.54/0.96 (~P4(f4(f4(x2141,x2142),x2143),x2141)),
% 0.54/0.96 inference(scs_inference,[],[5,6,10,199,116,62,152,37,32,28])).
% 0.54/0.96 cnf(217,plain,
% 0.54/0.96 (~P5(a2,a1)),
% 0.54/0.96 inference(scs_inference,[],[5,6,209,10,199,154,116,62,152,37,32,28,29])).
% 0.54/0.96 cnf(220,plain,
% 0.54/0.96 (P5(a3,f5(f5(a1,x2201),x2202))),
% 0.54/0.96 inference(scs_inference,[],[5,6,209,10,168,199,154,116,62,152,37,32,28,29,31])).
% 0.54/0.96 cnf(221,plain,
% 0.54/0.96 (~P5(x2211,f5(f5(x2211,x2212),x2213))),
% 0.54/0.96 inference(rename_variables,[],[168])).
% 0.54/0.96 cnf(225,plain,
% 0.54/0.96 (~P4(x2251,f5(f5(x2251,x2252),x2253))),
% 0.54/0.96 inference(scs_inference,[],[5,6,209,10,168,221,199,154,116,128,62,152,37,32,28,29,31,17,18])).
% 0.54/0.96 cnf(237,plain,
% 0.54/0.96 (P4(x2371,f5(f4(x2371,x2372),x2373))),
% 0.54/0.96 inference(scs_inference,[],[5,119,28])).
% 0.54/0.96 cnf(240,plain,
% 0.54/0.96 (P4(f5(f5(a1,x2401),x2402),a3)),
% 0.54/0.96 inference(scs_inference,[],[5,6,220,119,28,29])).
% 0.54/0.96 cnf(241,plain,
% 0.54/0.96 (~P5(x2411,x2411)),
% 0.54/0.96 inference(rename_variables,[],[6])).
% 0.54/0.96 cnf(243,plain,
% 0.54/0.96 (P5(f5(f5(a1,x2431),x2432),a3)),
% 0.54/0.96 inference(scs_inference,[],[5,6,241,220,119,28,29,31])).
% 0.54/0.96 cnf(246,plain,
% 0.54/0.96 (~P11(a3,f5(f5(a1,x2461),x2462))),
% 0.54/0.96 inference(scs_inference,[],[5,6,241,220,168,119,62,28,29,31,41])).
% 0.54/0.96 cnf(252,plain,
% 0.54/0.96 (P11(f5(f4(a3,x2521),x2522),a1)+P6(x2523,a3)),
% 0.54/0.96 inference(scs_inference,[],[5,6,241,208,220,187,168,119,62,28,29,31,41,22,44])).
% 0.54/0.96 cnf(256,plain,
% 0.54/0.96 (P5(x2561,f5(f4(x2561,x2562),x2563))),
% 0.54/0.96 inference(scs_inference,[],[237,18])).
% 0.54/0.96 cnf(258,plain,
% 0.54/0.96 (~P11(f5(f5(a1,x2581),x2582),a3)),
% 0.54/0.96 inference(scs_inference,[],[6,237,243,246,18,41])).
% 0.54/0.96 cnf(260,plain,
% 0.54/0.96 (~P5(x2601,x2601)),
% 0.54/0.96 inference(rename_variables,[],[6])).
% 0.54/0.96 cnf(262,plain,
% 0.54/0.96 (P11(f5(f4(a3,x2621),x2622),a1)),
% 0.54/0.96 inference(scs_inference,[],[6,237,243,246,187,18,41,252])).
% 0.54/0.96 cnf(263,plain,
% 0.54/0.96 (~P6(x2631,x2632)),
% 0.54/0.96 inference(rename_variables,[],[187])).
% 0.54/0.96 cnf(265,plain,
% 0.54/0.96 (~P11(x2651,f5(f4(x2651,x2652),x2653))),
% 0.54/0.96 inference(scs_inference,[],[6,237,243,246,187,18,41,252,160])).
% 0.54/0.96 cnf(272,plain,
% 0.54/0.96 (~P11(f5(x2721,x2722),x2721)),
% 0.54/0.96 inference(rename_variables,[],[10])).
% 0.54/0.96 cnf(279,plain,
% 0.54/0.96 (P5(f5(a2,x2791),a1)),
% 0.54/0.96 inference(scs_inference,[],[6,260,10,214,237,243,246,191,217,187,263,84,18,41,252,160,15,12,39,14,38,31])).
% 0.54/0.96 cnf(282,plain,
% 0.54/0.96 (P11(a3,f5(a1,x2821))+P6(x2822,a3)),
% 0.54/0.96 inference(scs_inference,[],[6,260,10,272,214,237,240,243,246,191,217,187,263,84,18,41,252,160,15,12,39,14,38,31,44])).
% 0.54/0.96 cnf(287,plain,
% 0.54/0.96 (~P4(f5(f5(x2871,x2872),x2873),x2871)),
% 0.54/0.96 inference(scs_inference,[],[175,18])).
% 0.54/0.96 cnf(294,plain,
% 0.54/0.96 (P5(f5(f5(a1,x2941),x2942),a2)),
% 0.54/0.96 inference(scs_inference,[],[279,175,243,156,187,62,18,282,42,31])).
% 0.54/0.96 cnf(301,plain,
% 0.54/0.96 (P5(f5(a2,x3011),f5(f5(a1,x3012),x3013))),
% 0.54/0.96 inference(scs_inference,[],[225,279,29])).
% 0.54/0.96 cnf(304,plain,
% 0.54/0.96 (P5(a2,f5(f5(a1,x3041),x3042))),
% 0.54/0.96 inference(scs_inference,[],[6,225,294,279,29,31])).
% 0.54/0.96 cnf(305,plain,
% 0.54/0.96 (~P5(x3051,x3051)),
% 0.54/0.96 inference(rename_variables,[],[6])).
% 0.54/0.96 cnf(310,plain,
% 0.54/0.96 (P11(f5(f4(a3,x3101),x3102),a1)),
% 0.54/0.96 inference(rename_variables,[],[262])).
% 0.54/0.96 cnf(311,plain,
% 0.54/0.96 (~P11(f5(x3111,x3112),x3111)),
% 0.54/0.96 inference(rename_variables,[],[10])).
% 0.54/0.96 cnf(329,plain,
% 0.54/0.96 (P11(a2,f5(f5(a1,x3291),x3292))+~P11(f5(f5(a1,x3291),x3292),a2)),
% 0.54/0.96 inference(scs_inference,[],[6,305,10,311,225,256,262,310,294,258,103,279,208,69,29,31,14,42,17,23,32,25,39,40,41])).
% 0.54/0.96 cnf(335,plain,
% 0.54/0.96 (~P5(x3351,f4(f4(x3351,x3352),x3353))),
% 0.54/0.96 inference(scs_inference,[],[6,105,214,240,28,29])).
% 0.54/0.96 cnf(339,plain,
% 0.54/0.96 (~P11(f5(x3391,x3392),x3391)),
% 0.54/0.96 inference(rename_variables,[],[10])).
% 0.54/0.96 cnf(341,plain,
% 0.54/0.96 (P5(f5(f5(a1,x3411),x3412),f4(a3,x3413))),
% 0.54/0.96 inference(scs_inference,[],[6,10,105,214,240,243,28,29,32,18])).
% 0.54/0.96 cnf(346,plain,
% 0.54/0.96 (~P5(x3461,x3461)),
% 0.54/0.96 inference(rename_variables,[],[6])).
% 0.54/0.96 cnf(348,plain,
% 0.54/0.96 (~P11(f5(a2,x3481),a1)),
% 0.54/0.96 inference(scs_inference,[],[6,10,339,301,105,214,237,240,243,279,64,28,29,32,18,22,38,40])).
% 0.54/0.96 cnf(350,plain,
% 0.54/0.96 (~P11(f5(x3501,x3502),x3501)),
% 0.54/0.96 inference(rename_variables,[],[10])).
% 0.54/0.96 cnf(352,plain,
% 0.54/0.96 (P11(f4(a3,x3521),f5(a1,x3522))),
% 0.54/0.96 inference(scs_inference,[],[6,10,339,301,105,214,237,240,243,279,64,28,29,32,18,22,38,40,74])).
% 0.54/0.96 cnf(354,plain,
% 0.54/0.96 (P11(f5(f5(a1,x3541),x3542),a2)+~P11(f5(a2,x3543),f5(f5(a1,x3541),x3542))),
% 0.54/0.96 inference(scs_inference,[],[6,10,339,350,301,105,214,237,240,243,279,64,28,29,32,18,22,38,40,74,42])).
% 0.54/0.96 cnf(355,plain,
% 0.54/0.96 (P5(f5(a2,x3551),f5(f5(a1,x3552),x3553))),
% 0.54/0.96 inference(rename_variables,[],[301])).
% 0.54/0.96 cnf(356,plain,
% 0.54/0.96 (~P11(f5(x3561,x3562),x3561)),
% 0.54/0.96 inference(rename_variables,[],[10])).
% 0.54/0.96 cnf(364,plain,
% 0.54/0.96 (P5(f5(f5(a1,x3641),x3642),f5(a2,x3643))),
% 0.54/0.96 inference(scs_inference,[],[6,346,10,339,350,356,301,355,105,214,246,237,240,243,279,64,28,29,32,18,22,38,40,74,42,37,39,31])).
% 0.54/0.96 cnf(372,plain,
% 0.54/0.96 (~P4(f4(x3721,x3722),f5(f5(x3721,x3723),x3724))),
% 0.54/0.96 inference(scs_inference,[],[50,287,28])).
% 0.54/0.96 cnf(373,plain,
% 0.54/0.96 (~P4(f5(f5(x3731,x3732),x3733),x3731)),
% 0.54/0.96 inference(rename_variables,[],[287])).
% 0.54/0.96 cnf(375,plain,
% 0.54/0.96 (~P5(f5(a3,x3751),a1)),
% 0.54/0.96 inference(scs_inference,[],[50,62,10,287,211,28,42])).
% 0.54/0.96 cnf(378,plain,
% 0.54/0.96 (P4(f4(a3,x3781),a1)),
% 0.54/0.96 inference(scs_inference,[],[50,62,10,287,341,211,175,28,42,29])).
% 0.54/0.96 cnf(381,plain,
% 0.54/0.96 (P5(f5(a2,x3811),f4(f4(a1,x3812),x3813))),
% 0.54/0.96 inference(scs_inference,[],[50,62,10,287,335,341,211,175,279,28,42,29,31])).
% 0.54/0.96 cnf(382,plain,
% 0.54/0.96 (~P5(x3821,f4(f4(x3821,x3822),x3823))),
% 0.54/0.96 inference(rename_variables,[],[335])).
% 0.54/0.96 cnf(384,plain,
% 0.54/0.96 (~P11(f5(f5(a1,x3841),x3842),f4(a3,x3843))),
% 0.54/0.96 inference(scs_inference,[],[9,50,62,10,287,335,341,211,258,175,279,28,42,29,31,40])).
% 0.54/0.96 cnf(388,plain,
% 0.54/0.96 (~P5(a3,f5(f4(a1,x3881),x3882))),
% 0.54/0.96 inference(scs_inference,[],[9,50,62,10,287,335,341,211,265,258,175,279,28,42,29,31,40,32])).
% 0.54/0.96 cnf(391,plain,
% 0.54/0.96 (~P4(f4(x3911,x3912),f4(x3911,x3913))),
% 0.54/0.96 inference(scs_inference,[],[9,50,62,10,287,335,341,211,265,258,175,103,279,28,42,29,31,40,32,18])).
% 0.54/0.96 cnf(399,plain,
% 0.54/0.96 (~P11(a2,f5(f5(a1,x3991),x3992))),
% 0.54/0.96 inference(scs_inference,[],[9,50,62,10,287,373,335,382,341,304,211,265,258,175,103,168,279,187,64,28,42,29,31,40,32,18,14,15,12,38])).
% 0.54/0.96 cnf(410,plain,
% 0.54/0.96 (~P11(f5(f5(a1,x4101),x4102),a2)),
% 0.54/0.96 inference(scs_inference,[],[399,329])).
% 0.54/0.96 cnf(412,plain,
% 0.54/0.96 (P5(f5(a2,x4121),f4(a1,x4122))),
% 0.54/0.96 inference(scs_inference,[],[50,381,399,329,29])).
% 0.54/0.96 cnf(414,plain,
% 0.54/0.96 (~P4(f4(x4141,x4142),x4141)),
% 0.54/0.96 inference(rename_variables,[],[50])).
% 0.54/0.96 cnf(416,plain,
% 0.54/0.96 (P4(a1,a3)),
% 0.54/0.96 inference(scs_inference,[],[50,414,381,399,378,329,29,28])).
% 0.54/0.96 cnf(419,plain,
% 0.54/0.96 (~P5(f4(f4(x4191,x4192),x4193),x4191)),
% 0.54/0.96 inference(scs_inference,[],[9,50,414,381,399,378,69,329,29,28,31])).
% 0.54/0.96 cnf(420,plain,
% 0.54/0.96 (~P5(f4(x4201,x4202),x4201)),
% 0.54/0.96 inference(rename_variables,[],[9])).
% 0.54/0.96 cnf(422,plain,
% 0.54/0.96 (P11(a1,f5(f4(a3,x4221),x4222))),
% 0.54/0.96 inference(scs_inference,[],[9,50,414,62,381,399,378,256,69,329,29,28,31,32])).
% 0.54/0.96 cnf(425,plain,
% 0.54/0.96 (P5(f4(a3,x4251),a1)),
% 0.54/0.96 inference(scs_inference,[],[9,50,414,62,381,399,378,256,69,329,29,28,31,32,18])).
% 0.54/0.96 cnf(427,plain,
% 0.54/0.96 (~P11(f5(a2,x4271),f5(f5(a1,x4272),x4273))),
% 0.54/0.96 inference(scs_inference,[],[9,50,414,62,381,399,378,256,69,329,29,28,31,32,18,354])).
% 0.54/0.96 cnf(437,plain,
% 0.54/0.96 (~P5(f4(a3,x4371),f5(a1,x4372))+P11(f4(a3,x4371),a1)),
% 0.54/0.96 inference(scs_inference,[],[9,420,50,414,62,10,364,381,352,399,348,378,256,69,175,329,29,28,31,32,18,354,38,37,42])).
% 0.54/0.96 cnf(447,plain,
% 0.54/0.96 (P4(a1,f5(f5(a3,x4471),x4472))),
% 0.54/0.96 inference(scs_inference,[],[64,50,416,225,29,28])).
% 0.54/0.96 cnf(452,plain,
% 0.54/0.96 (~P5(f4(f4(x4521,x4522),x4523),x4521)),
% 0.54/0.96 inference(rename_variables,[],[419])).
% 0.54/0.96 cnf(454,plain,
% 0.54/0.96 (P5(f5(a1,x4541),a2)),
% 0.54/0.96 inference(scs_inference,[],[64,50,419,416,225,381,348,84,29,28,40,31])).
% 0.54/0.96 cnf(477,plain,
% 0.54/0.96 (~P5(f4(a3,x4771),f5(a1,x4772))),
% 0.54/0.96 inference(scs_inference,[],[10,64,50,419,452,427,412,388,422,425,416,384,225,381,348,191,84,175,29,28,40,31,32,41,18,74,17,38,23,25,437])).
% 0.54/0.96 cnf(479,plain,
% 0.54/0.96 (~P11(f5(a1,x4791),a2)),
% 0.54/0.96 inference(scs_inference,[],[10,64,50,419,452,427,412,388,422,425,416,384,225,381,348,399,191,84,175,89,29,28,40,31,32,41,18,74,17,38,23,25,437,42])).
% 0.54/0.96 cnf(493,plain,
% 0.54/0.96 (P4(f5(f4(a1,x4931),x4932),a2)),
% 0.54/0.96 inference(scs_inference,[],[50,64,477,214,191,256,9,38,28,29])).
% 0.54/0.96 cnf(496,plain,
% 0.54/0.96 (~P5(f5(x4961,x4962),f5(f4(x4961,x4963),x4964))),
% 0.54/0.96 inference(scs_inference,[],[10,50,64,477,149,214,128,191,256,9,38,28,29,42])).
% 0.54/0.96 cnf(500,plain,
% 0.54/0.96 (P5(f5(a1,x5001),f4(f4(a2,x5002),x5003))),
% 0.54/0.96 inference(scs_inference,[],[10,50,64,477,454,335,149,214,128,191,256,9,38,28,29,42,31])).
% 0.54/0.96 cnf(505,plain,
% 0.54/0.96 (P5(a1,f5(f5(a3,x5051),x5052))),
% 0.54/0.96 inference(scs_inference,[],[10,50,64,477,447,454,335,149,214,128,191,256,9,38,28,29,42,31,14,18])).
% 0.54/0.96 cnf(519,plain,
% 0.54/0.96 (P5(f5(a1,x5191),f4(a2,x5192))),
% 0.54/0.96 inference(scs_inference,[],[50,500,29])).
% 0.54/0.96 cnf(526,plain,
% 0.54/0.96 (~P11(a1,f5(f5(a3,x5261),x5262))),
% 0.54/0.96 inference(scs_inference,[],[50,391,500,505,375,378,89,29,28,39])).
% 0.54/0.96 cnf(528,plain,
% 0.54/0.96 (~P11(x5281,f5(x5281,x5282))),
% 0.54/0.96 inference(rename_variables,[],[89])).
% 0.54/0.96 cnf(537,plain,
% 0.54/0.96 (P6(x5371,f5(f4(a3,x5372),x5373))+~P4(f5(f4(a3,x5372),x5373),a1)),
% 0.54/0.96 inference(scs_inference,[],[50,69,62,391,496,500,505,375,378,128,187,89,528,29,28,39,32,18,15,44])).
% 0.54/0.96 cnf(554,plain,
% 0.54/0.96 (~P6(x5541,x5542)),
% 0.54/0.96 inference(rename_variables,[],[187])).
% 0.54/0.96 cnf(558,plain,
% 0.54/0.96 (P11(f4(a3,x5581),f5(f5(a3,x5582),x5583))+P6(x5584,a1)),
% 0.54/0.96 inference(scs_inference,[],[62,493,526,105,378,220,187,554,28,32,18,537,74,44])).
% 0.54/0.96 cnf(582,plain,
% 0.54/0.96 ($false),
% 0.54/0.96 inference(scs_inference,[],[372,519,410,479,500,454,419,187,10,558,40,29,32]),
% 0.54/0.96 ['proof']).
% 0.54/0.96 % SZS output end Proof
% 0.54/0.96 % Total time :0.310000s
%------------------------------------------------------------------------------