TSTP Solution File: GEO255+3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : GEO255+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/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 22:44:04 EDT 2023
% Result : Theorem 0.52s 1.36s
% Output : CNFRefutation 0.52s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GEO255+3 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.12/0.34 % Computer : n027.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 23:44:53 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 0.52/1.35 %-------------------------------------------
% 0.52/1.35 % File :CSE---1.6
% 0.52/1.35 % Problem :theBenchmark
% 0.52/1.35 % Transform :cnf
% 0.52/1.35 % Format :tptp:raw
% 0.52/1.35 % Command :java -jar mcs_scs.jar %d %s
% 0.52/1.35
% 0.52/1.35 % Result :Theorem 0.740000s
% 0.52/1.35 % Output :CNFRefutation 0.740000s
% 0.52/1.35 %-------------------------------------------
% 0.52/1.35 %------------------------------------------------------------------------------
% 0.52/1.35 % File : GEO255+3 : TPTP v8.1.2. Released v4.0.0.
% 0.52/1.35 % Domain : Geometry (Constructive)
% 0.52/1.35 % Problem : Property of order and betweeness
% 0.52/1.35 % Version : [vPl98] axioms.
% 0.52/1.35 % English :
% 0.52/1.35
% 0.52/1.35 % Refs : [vPl98] von Plato (1998), A Constructive Theory of Ordered Aff
% 0.52/1.35 % : [ROK06] Raths et al. (2006), The ILTP Problem Library for Intu
% 0.52/1.36 % : [Rat07] Raths (2007), Email to Geoff Sutcliffe
% 0.52/1.36 % Source : [Rat07]
% 0.52/1.36 % Names : Theorem 6.2.i [vPl98]
% 0.52/1.36
% 0.52/1.36 % Status : Theorem
% 0.52/1.36 % Rating : 0.00 v8.1.0, 0.07 v7.5.0, 0.10 v7.4.0, 0.00 v6.3.0, 0.08 v6.2.0, 0.00 v6.1.0, 0.12 v6.0.0, 0.00 v5.5.0, 0.21 v5.4.0, 0.22 v5.3.0, 0.30 v5.2.0, 0.29 v5.0.0, 0.20 v4.1.0, 0.22 v4.0.1, 0.37 v4.0.0
% 0.52/1.36 % Syntax : Number of formulae : 37 ( 6 unt; 0 def)
% 0.52/1.36 % Number of atoms : 111 ( 0 equ)
% 0.52/1.36 % Maximal formula atoms : 10 ( 3 avg)
% 0.52/1.36 % Number of connectives : 87 ( 13 ~; 22 |; 25 &)
% 0.52/1.36 % ( 10 <=>; 17 =>; 0 <=; 0 <~>)
% 0.52/1.36 % Maximal formula depth : 13 ( 5 avg)
% 0.52/1.36 % Maximal term depth : 3 ( 1 avg)
% 0.52/1.36 % Number of predicates : 18 ( 18 usr; 0 prp; 1-4 aty)
% 0.52/1.36 % Number of functors : 4 ( 4 usr; 0 con; 1-2 aty)
% 0.52/1.36 % Number of variables : 84 ( 84 !; 0 ?)
% 0.52/1.36 % SPC : FOF_THM_RFO_NEQ
% 0.52/1.36
% 0.52/1.36 % Comments :
% 0.52/1.36 %------------------------------------------------------------------------------
% 0.52/1.36 include('Axioms/GEO009+0.ax').
% 0.52/1.36 %------------------------------------------------------------------------------
% 0.52/1.36 fof(con,conjecture,
% 0.52/1.36 ! [L,A,B] :
% 0.52/1.36 ~ ( before_on_line(L,A,B)
% 0.52/1.36 & before_on_line(L,B,A) ) ).
% 0.52/1.36
% 0.52/1.36 %------------------------------------------------------------------------------
% 0.52/1.36 %-------------------------------------------
% 0.52/1.36 % Proof found
% 0.52/1.36 % SZS status Theorem for theBenchmark
% 0.52/1.36 % SZS output start Proof
% 0.52/1.36 %ClaNum:68(EqnAxiom:0)
% 0.52/1.36 %VarNum:311(SingletonVarNum:129)
% 0.52/1.36 %MaxLitNum:10
% 0.52/1.36 %MaxfuncDepth:2
% 0.52/1.36 %SharedTerms:5
% 0.52/1.36 %goalClause: 3 4
% 0.52/1.36 %singleGoalClaCount:2
% 0.52/1.36 [3]P2(a2,a3,a4)
% 0.52/1.36 [4]P2(a2,a4,a3)
% 0.52/1.36 [1]P1(x11,x11)
% 0.52/1.36 [7]~P4(x71,x71)
% 0.52/1.36 [8]~P5(x81,x81)
% 0.52/1.36 [11]~P5(x111,f7(x111))
% 0.52/1.36 [5]~P9(x51,x52)
% 0.52/1.36 [6]~P12(x61,x62)
% 0.52/1.36 [2]P1(f1(x21,x22),x21)
% 0.52/1.36 [12]~P3(x121,f1(x122,x121))
% 0.52/1.36 [13]~P13(x131)+P13(f7(x131))
% 0.52/1.36 [14]P10(x141,x142)+P14(x141,x142)
% 0.52/1.36 [15]P1(x151,x152)+P15(x151,x152)
% 0.52/1.36 [17]~P6(x171,x172)+P14(x171,x172)
% 0.52/1.36 [18]~P6(x181,x182)+P15(x181,x182)
% 0.52/1.36 [19]~P16(x191,x192)+P3(x191,x192)
% 0.52/1.36 [25]~P10(x251,x252)+~P14(x251,x252)
% 0.52/1.36 [26]~P1(x261,x262)+~P15(x261,x262)
% 0.52/1.36 [16]P15(x161,x162)+P15(x161,f7(x162))
% 0.52/1.36 [21]~P14(x211,x212)+P15(x211,f7(x212))
% 0.52/1.36 [22]~P16(x221,x222)+P9(x221,f7(x222))
% 0.52/1.36 [23]~P18(x231,x232)+P12(x231,f7(x232))
% 0.52/1.36 [27]P14(x271,x272)+~P15(x271,f7(x272))
% 0.52/1.36 [40]~P4(x401,x402)+~P3(x402,f5(x401,x402))
% 0.52/1.36 [41]~P4(x411,x412)+~P3(x411,f5(x411,x412))
% 0.52/1.36 [59]~P4(x591,x592)+P1(f5(x591,x592),f7(f5(x592,x591)))
% 0.52/1.36 [50]P4(x501,x502)+~P2(x503,x501,x502)
% 0.52/1.36 [51]P11(x511,x512)+~P2(x512,x513,x511)
% 0.52/1.36 [52]P11(x521,x522)+~P2(x522,x521,x523)
% 0.52/1.36 [60]~P2(x601,x602,x603)+P1(x601,f5(x602,x603))
% 0.52/1.36 [32]P9(x321,x322)+~P3(x321,x322)+P16(x321,x322)
% 0.52/1.36 [36]~P14(x361,x362)+~P15(x361,x362)+P6(x361,x362)
% 0.52/1.36 [24]~P17(x242)+~P13(x241)+P13(f1(x241,x242))
% 0.52/1.36 [57]~P15(x571,x572)+~P15(x571,f7(x572))+~P3(f6(x571,x572),x572)
% 0.52/1.36 [58]~P15(x581,x582)+~P15(x581,f7(x582))+~P3(f6(x581,x582),x581)
% 0.52/1.36 [30]~P15(x303,x301)+P15(x301,x302)+P15(x303,x302)
% 0.52/1.36 [34]~P4(x343,x341)+P4(x341,x342)+P4(x343,x342)
% 0.52/1.36 [35]~P5(x353,x351)+P5(x351,x352)+P5(x353,x352)
% 0.52/1.36 [53]~P8(x532,x533,x531)+P16(x531,x532)+P16(x533,x532)
% 0.52/1.36 [54]P9(x541,x542)+P16(x541,x542)+~P8(x542,x543,x541)
% 0.52/1.36 [55]P9(x551,x552)+P16(x551,x552)+~P8(x552,x551,x553)
% 0.52/1.36 [56]~P8(x562,x561,x563)+P9(x561,x562)+P9(x563,x562)
% 0.52/1.36 [63]~P2(x631,x633,x632)+~P2(x631,x634,x633)+P7(x631,x632,x633,x634)
% 0.52/1.36 [64]~P2(x641,x643,x644)+~P2(x641,x642,x643)+P7(x641,x642,x643,x644)
% 0.52/1.36 [65]~P7(x651,x652,x653,x654)+P2(x651,x652,x653)+P2(x651,x654,x653)
% 0.52/1.36 [66]P2(x661,x663,x662)+P2(x661,x662,x663)+~P7(x661,x664,x662,x663)
% 0.52/1.36 [67]P2(x671,x673,x672)+P2(x671,x672,x673)+~P7(x671,x672,x673,x674)
% 0.52/1.36 [68]~P7(x681,x684,x682,x683)+P2(x681,x682,x683)+P2(x681,x682,x684)
% 0.52/1.36 [37]~P17(x372)+~P17(x371)+~P4(x371,x372)+P13(f5(x371,x372))
% 0.52/1.36 [44]~P15(x441,x442)+P12(x441,x442)+P12(x441,f7(x442))+~P15(x441,f7(x442))
% 0.52/1.36 [42]~P15(x421,x423)+P15(x421,x422)+~P15(x421,f7(x423))+P15(x423,f7(x422))
% 0.52/1.36 [43]~P15(x433,x431)+P15(x431,x432)+~P15(x433,f7(x431))+P15(x433,f7(x432))
% 0.52/1.36 [46]~P13(x462)+~P13(x461)+~P15(x461,x462)+~P15(x461,f7(x462))+P17(f6(x461,x462))
% 0.52/1.36 [62]~P4(x622,x623)+~P11(x623,x621)+~P11(x622,x621)+P2(x621,x622,x623)+~P1(x621,f5(x622,x623))
% 0.52/1.36 [61]P9(x614,x613)+~P4(x614,x611)+~P5(x613,x612)+P9(x611,x612)+P9(x611,x613)+P9(x614,x612)+P9(x611,f7(x612))+P9(x611,f7(x613))+P9(x614,f7(x612))+P9(x614,f7(x613))
% 0.52/1.36 %EqnAxiom
% 0.52/1.36
% 0.52/1.36 %-------------------------------------------
% 0.52/1.36 cnf(72,plain,
% 0.52/1.36 (~P9(x721,x722)),
% 0.52/1.36 inference(rename_variables,[],[5])).
% 0.52/1.36 cnf(84,plain,
% 0.52/1.36 (~P15(x841,x841)),
% 0.52/1.36 inference(scs_inference,[],[3,1,7,5,12,50,19,22,68,67,66,52,51,26])).
% 0.52/1.36 cnf(86,plain,
% 0.52/1.36 (P15(x861,f7(x861))),
% 0.52/1.36 inference(scs_inference,[],[3,1,7,5,12,50,19,22,68,67,66,52,51,26,16])).
% 0.52/1.36 cnf(88,plain,
% 0.52/1.36 (P1(a2,f5(a3,a4))),
% 0.52/1.36 inference(scs_inference,[],[3,1,7,5,12,50,19,22,68,67,66,52,51,26,16,60])).
% 0.52/1.36 cnf(96,plain,
% 0.52/1.36 (P15(f7(x961),x961)),
% 0.52/1.36 inference(scs_inference,[],[3,1,7,5,72,4,12,50,19,22,68,67,66,52,51,26,16,60,64,63,32,30])).
% 0.52/1.36 cnf(98,plain,
% 0.52/1.36 (~P15(f7(f7(x981)),x981)+P12(f7(f7(x981)),f7(x981))),
% 0.52/1.36 inference(scs_inference,[],[3,1,7,5,72,6,4,12,50,19,22,68,67,66,52,51,26,16,60,64,63,32,30,44])).
% 0.52/1.36 cnf(103,plain,
% 0.52/1.36 (P1(f7(f7(x1031)),x1031)+P12(f7(f7(x1031)),f7(x1031))),
% 0.52/1.36 inference(scs_inference,[],[3,1,7,5,72,6,4,12,50,19,22,68,67,66,52,51,26,16,60,64,63,32,30,44,18,15])).
% 0.52/1.36 cnf(105,plain,
% 0.52/1.36 (P14(f7(x1051),f7(x1051))+P12(f7(f7(x1051)),f7(x1051))),
% 0.52/1.36 inference(scs_inference,[],[3,1,7,5,72,6,4,12,50,19,22,68,67,66,52,51,26,16,60,64,63,32,30,44,18,15,27])).
% 0.52/1.36 cnf(107,plain,
% 0.52/1.36 (~P14(f7(x1071),x1071)+P12(f7(f7(x1071)),f7(x1071))),
% 0.52/1.36 inference(scs_inference,[],[3,1,7,5,72,6,4,12,50,19,22,68,67,66,52,51,26,16,60,64,63,32,30,44,18,15,27,21])).
% 0.52/1.36 cnf(109,plain,
% 0.52/1.36 (~P5(f7(x1091),x1091)+P12(f7(f7(x1092)),f7(x1092))),
% 0.52/1.36 inference(scs_inference,[],[3,1,7,8,5,72,6,4,11,12,50,19,22,68,67,66,52,51,26,16,60,64,63,32,30,44,18,15,27,21,35])).
% 0.52/1.36 cnf(111,plain,
% 0.52/1.36 (P4(a3,a4)),
% 0.52/1.36 inference(scs_inference,[],[3,50])).
% 0.52/1.36 cnf(115,plain,
% 0.52/1.36 (~P5(f7(x1151),x1151)),
% 0.52/1.36 inference(scs_inference,[],[3,6,86,50,26,109])).
% 0.52/1.36 cnf(116,plain,
% 0.52/1.36 (~P12(x1161,x1162)),
% 0.52/1.36 inference(rename_variables,[],[6])).
% 0.52/1.36 cnf(118,plain,
% 0.52/1.36 (~P12(x1181,x1182)),
% 0.52/1.36 inference(rename_variables,[],[6])).
% 0.52/1.36 cnf(120,plain,
% 0.52/1.36 (~P12(x1201,x1202)),
% 0.52/1.36 inference(rename_variables,[],[6])).
% 0.52/1.36 cnf(122,plain,
% 0.52/1.36 (~P12(x1221,x1222)),
% 0.52/1.36 inference(rename_variables,[],[6])).
% 0.52/1.36 cnf(123,plain,
% 0.52/1.36 (~P15(f7(f7(x1231)),x1231)),
% 0.52/1.36 inference(scs_inference,[],[3,6,116,118,120,122,86,50,26,109,107,105,103,98])).
% 0.52/1.37 cnf(134,plain,
% 0.52/1.37 (P6(x1341,f7(x1341))+P1(f5(a3,a4),f7(f5(a4,a3)))),
% 0.52/1.37 inference(scs_inference,[],[3,6,116,118,120,122,86,50,26,109,107,105,103,98,25,17,14,36,27,59])).
% 0.52/1.37 cnf(140,plain,
% 0.52/1.37 (P4(a4,a3)),
% 0.52/1.37 inference(scs_inference,[],[7,111,34])).
% 0.52/1.37 cnf(143,plain,
% 0.52/1.37 (P14(f7(f7(x1431)),x1431)),
% 0.52/1.37 inference(scs_inference,[],[7,96,111,34,27])).
% 0.52/1.37 cnf(146,plain,
% 0.52/1.37 (~P15(f1(x1461,x1462),x1461)),
% 0.52/1.37 inference(scs_inference,[],[2,7,96,111,34,27,26])).
% 0.52/1.37 cnf(148,plain,
% 0.52/1.37 (P15(f7(f1(x1481,x1482)),x1481)),
% 0.52/1.37 inference(scs_inference,[],[2,7,96,111,86,34,27,26,30])).
% 0.52/1.37 cnf(149,plain,
% 0.52/1.37 (P15(x1491,f7(x1491))),
% 0.52/1.37 inference(rename_variables,[],[86])).
% 0.52/1.37 cnf(151,plain,
% 0.52/1.37 (P12(x1511,f7(x1511))+~P15(x1511,f7(f7(x1511)))),
% 0.52/1.37 inference(scs_inference,[],[2,7,6,96,111,86,149,34,27,26,30,44])).
% 0.52/1.37 cnf(155,plain,
% 0.52/1.37 (P15(f1(f7(x1551),x1552),x1551)),
% 0.52/1.37 inference(scs_inference,[],[2,7,6,96,111,86,149,34,27,26,30,44,16])).
% 0.52/1.37 cnf(157,plain,
% 0.52/1.37 (P15(f1(x1571,x1572),f7(x1571))),
% 0.52/1.37 inference(scs_inference,[],[146,16])).
% 0.52/1.37 cnf(161,plain,
% 0.52/1.37 (~P15(x1611,f7(f7(x1611)))),
% 0.52/1.37 inference(scs_inference,[],[6,146,148,16,26,151])).
% 0.52/1.37 cnf(163,plain,
% 0.52/1.37 (~P15(f1(x1631,x1632),f7(f7(x1631)))),
% 0.52/1.37 inference(scs_inference,[],[6,146,148,84,16,26,151,42])).
% 0.52/1.37 cnf(166,plain,
% 0.52/1.37 (~P15(f7(f7(x1661)),f1(x1661,x1662))),
% 0.52/1.37 inference(scs_inference,[],[6,123,146,148,84,16,26,151,42,30])).
% 0.52/1.37 cnf(169,plain,
% 0.52/1.37 (~P15(a2,f5(a3,a4))),
% 0.52/1.37 inference(scs_inference,[],[88,26])).
% 0.52/1.37 cnf(171,plain,
% 0.52/1.37 (P15(f7(x1711),f1(x1711,x1712))),
% 0.52/1.37 inference(scs_inference,[],[166,88,96,26,30])).
% 0.52/1.37 cnf(176,plain,
% 0.52/1.37 (P1(a2,f5(a4,a3))),
% 0.52/1.37 inference(scs_inference,[],[161,166,88,96,4,26,30,18,60])).
% 0.52/1.37 cnf(180,plain,
% 0.52/1.37 (~P14(x1801,f7(x1801))),
% 0.52/1.37 inference(scs_inference,[],[161,166,88,96,4,26,30,18,60,15,21])).
% 0.52/1.37 cnf(184,plain,
% 0.52/1.37 (P15(f7(f1(x1841,x1842)),f7(f7(x1841)))),
% 0.52/1.37 inference(scs_inference,[],[155,163,96,26,30])).
% 0.52/1.37 cnf(193,plain,
% 0.52/1.37 (P1(f5(a4,a3),f7(f5(a3,a4)))),
% 0.52/1.37 inference(scs_inference,[],[180,155,163,140,143,96,26,30,17,25,14,59])).
% 0.52/1.37 cnf(195,plain,
% 0.52/1.37 (P1(f5(a3,a4),f7(f5(a4,a3)))),
% 0.52/1.37 inference(scs_inference,[],[180,155,163,140,143,96,26,30,17,25,14,59,134])).
% 0.52/1.37 cnf(199,plain,
% 0.52/1.37 (~P15(f7(x1991),f7(f1(x1991,x1992)))),
% 0.52/1.37 inference(scs_inference,[],[180,155,163,171,140,143,96,84,146,26,30,17,25,14,59,134,46,43])).
% 0.52/1.37 cnf(203,plain,
% 0.52/1.37 (P15(a2,f7(f5(a3,a4)))),
% 0.52/1.37 inference(scs_inference,[],[169,16])).
% 0.52/1.37 cnf(207,plain,
% 0.52/1.37 (~P15(f5(a4,a3),f7(f5(a3,a4)))),
% 0.52/1.37 inference(scs_inference,[],[184,193,169,16,27,26])).
% 0.52/1.37 cnf(212,plain,
% 0.52/1.37 (P15(f7(a2),f5(a3,a4))),
% 0.52/1.37 inference(scs_inference,[],[184,199,193,169,86,16,27,26,42,30])).
% 0.52/1.37 cnf(215,plain,
% 0.52/1.37 (~P15(f7(f1(x2151,x2152)),f7(x2151))+P12(f7(f1(x2151,x2152)),f7(f7(x2151)))),
% 0.52/1.37 inference(scs_inference,[],[6,184,199,193,169,86,16,27,26,42,30,44])).
% 0.52/1.37 cnf(219,plain,
% 0.52/1.37 (P15(f5(a4,a3),f5(a3,a4))),
% 0.52/1.37 inference(scs_inference,[],[207,16])).
% 0.52/1.37 cnf(223,plain,
% 0.52/1.37 (P15(f7(f5(a4,a3)),f7(f5(a3,a4)))),
% 0.52/1.37 inference(scs_inference,[],[207,212,96,16,26,30])).
% 0.52/1.37 cnf(226,plain,
% 0.52/1.37 (~P15(f7(f1(x2261,x2262)),f7(x2261))),
% 0.52/1.37 inference(scs_inference,[],[6,207,212,96,16,26,30,215])).
% 0.52/1.37 cnf(227,plain,
% 0.52/1.37 (~P2(f7(a2),a3,a4)),
% 0.52/1.37 inference(scs_inference,[],[6,207,212,96,16,26,30,215,60])).
% 0.52/1.37 cnf(237,plain,
% 0.52/1.37 (P15(f7(f7(x2371)),f7(f1(x2371,x2372)))),
% 0.52/1.37 inference(scs_inference,[],[227,166,65,16])).
% 0.52/1.37 cnf(239,plain,
% 0.52/1.37 (~P15(f5(a3,a4),f7(f5(a4,a3)))),
% 0.52/1.37 inference(scs_inference,[],[195,227,166,65,16,26])).
% 0.52/1.37 cnf(241,plain,
% 0.52/1.37 (~P15(f7(f1(x2411,x2412)),f1(f7(x2411),x2413))),
% 0.52/1.37 inference(scs_inference,[],[226,195,227,166,146,65,16,26,30])).
% 0.52/1.37 cnf(246,plain,
% 0.52/1.37 (P12(f7(f5(a4,a3)),f5(a3,a4))+~P15(f7(f5(a4,a3)),f5(a3,a4))),
% 0.52/1.37 inference(scs_inference,[],[6,226,223,195,227,166,146,65,16,26,30,18,44])).
% 0.52/1.37 cnf(253,plain,
% 0.52/1.37 (~P15(f7(f5(a4,a3)),f5(a3,a4))),
% 0.52/1.37 inference(scs_inference,[],[6,246])).
% 0.52/1.37 cnf(259,plain,
% 0.52/1.37 (P15(x2591,f1(f7(x2591),x2592))),
% 0.52/1.37 inference(scs_inference,[],[6,237,241,239,148,246,16,26,30])).
% 0.52/1.37 cnf(272,plain,
% 0.52/1.37 (~P15(a2,f5(a4,a3))),
% 0.52/1.37 inference(scs_inference,[],[176,26])).
% 0.52/1.37 cnf(278,plain,
% 0.52/1.37 (P15(f1(f5(a4,a3),x2781),f5(a3,a4))),
% 0.52/1.37 inference(scs_inference,[],[253,176,157,227,26,66,27,30])).
% 0.52/1.37 cnf(281,plain,
% 0.52/1.37 (P12(f7(a2),f5(a3,a4))+~P15(f7(a2),f7(f5(a3,a4)))),
% 0.52/1.37 inference(scs_inference,[],[6,253,176,157,212,227,26,66,27,30,44])).
% 0.52/1.37 cnf(284,plain,
% 0.52/1.37 (P15(a2,f7(f5(a4,a3)))),
% 0.52/1.37 inference(scs_inference,[],[6,253,176,157,212,227,26,66,27,30,44,16])).
% 0.52/1.37 cnf(288,plain,
% 0.52/1.37 (P15(f5(a3,a4),f1(f5(a4,a3),x2881))),
% 0.52/1.37 inference(scs_inference,[],[84,259,278,26,30])).
% 0.52/1.37 cnf(291,plain,
% 0.52/1.37 (~P15(f7(a2),f7(f5(a3,a4)))),
% 0.52/1.37 inference(scs_inference,[],[6,84,259,278,26,30,281])).
% 0.52/1.37 cnf(300,plain,
% 0.52/1.37 (~P15(x3001,f1(x3001,x3002))),
% 0.52/1.37 inference(scs_inference,[],[84,288,291,146,18,21,15,26,30])).
% 0.52/1.37 cnf(303,plain,
% 0.52/1.37 (P15(f7(a2),f5(a4,a3))),
% 0.52/1.37 inference(scs_inference,[],[86,272,30])).
% 0.52/1.37 cnf(312,plain,
% 0.52/1.37 (P14(x3121,x3121)),
% 0.52/1.37 inference(scs_inference,[],[86,27])).
% 0.52/1.37 cnf(349,plain,
% 0.52/1.37 (P12(f7(a2),f5(a4,a3))+~P15(f7(a2),f7(f5(a4,a3)))),
% 0.52/1.37 inference(scs_inference,[],[11,312,303,115,6,35,25,44])).
% 0.52/1.37 cnf(352,plain,
% 0.52/1.37 (~P15(f5(a3,a4),f7(a2))+~P15(f5(a3,a4),f7(f7(a2)))),
% 0.52/1.37 inference(scs_inference,[],[11,84,312,303,115,291,6,35,25,44,42])).
% 0.52/1.37 cnf(360,plain,
% 0.52/1.37 (~P15(f7(a2),f7(f5(a4,a3)))),
% 0.52/1.37 inference(scs_inference,[],[6,349])).
% 0.52/1.37 cnf(362,plain,
% 0.52/1.37 (P14(a2,f5(a4,a3))),
% 0.52/1.37 inference(scs_inference,[],[284,6,349,27])).
% 0.52/1.37 cnf(364,plain,
% 0.52/1.37 (P15(f1(f7(a2),x3641),f5(a4,a3))),
% 0.52/1.37 inference(scs_inference,[],[284,155,272,6,349,27,30])).
% 0.52/1.37 cnf(372,plain,
% 0.52/1.37 (P15(f5(a4,a3),f1(f7(a2),x3721))),
% 0.52/1.37 inference(scs_inference,[],[84,364,30])).
% 0.52/1.37 cnf(381,plain,
% 0.52/1.37 (~P1(f7(x3811),x3811)),
% 0.52/1.37 inference(scs_inference,[],[96,360,18,15,21,26])).
% 0.52/1.37 cnf(387,plain,
% 0.52/1.37 (P15(f7(f5(a3,a4)),f7(f5(a4,a3)))),
% 0.52/1.37 inference(scs_inference,[],[96,86,360,239,18,15,21,26,17,14,30])).
% 0.52/1.37 cnf(390,plain,
% 0.52/1.37 (~P2(f7(f5(x3901,x3902)),x3901,x3902)),
% 0.52/1.37 inference(scs_inference,[],[381,60])).
% 0.52/1.37 cnf(395,plain,
% 0.52/1.37 (P15(f7(f7(a2)),f7(f5(a4,a3)))),
% 0.52/1.37 inference(scs_inference,[],[96,381,362,360,60,25,30])).
% 0.52/1.37 cnf(402,plain,
% 0.52/1.37 (P15(f7(f5(a4,a3)),f7(f7(a2)))),
% 0.52/1.37 inference(scs_inference,[],[84,390,395,65,68,30])).
% 0.52/1.37 cnf(405,plain,
% 0.52/1.37 (P14(f7(f5(a3,a4)),f5(a4,a3))),
% 0.52/1.37 inference(scs_inference,[],[84,390,387,395,65,68,30,27])).
% 0.52/1.37 cnf(413,plain,
% 0.52/1.37 (~P15(f7(f5(a4,a3)),f7(a2))+P12(f7(f5(a4,a3)),f7(f7(a2)))),
% 0.52/1.37 inference(scs_inference,[],[402,6,44])).
% 0.52/1.37 cnf(418,plain,
% 0.52/1.37 (P15(f1(x4181,x4182),f1(f7(x4181),x4183))),
% 0.52/1.37 inference(scs_inference,[],[96,405,402,241,6,44,36,30])).
% 0.52/1.37 cnf(421,plain,
% 0.52/1.37 (~P15(f7(f5(a4,a3)),f7(a2))),
% 0.52/1.37 inference(scs_inference,[],[6,413])).
% 0.52/1.37 cnf(423,plain,
% 0.52/1.37 (P15(f7(f5(a4,a3)),a2)),
% 0.52/1.37 inference(scs_inference,[],[6,413,16])).
% 0.52/1.37 cnf(439,plain,
% 0.52/1.37 (P15(f7(f5(a3,a4)),a2)),
% 0.52/1.37 inference(scs_inference,[],[84,203,30])).
% 0.52/1.37 cnf(448,plain,
% 0.52/1.37 (~P15(f7(f5(a3,a4)),f7(a2))),
% 0.52/1.37 inference(scs_inference,[],[84,439,402,395,169,27,46,43])).
% 0.52/1.37 cnf(451,plain,
% 0.52/1.37 (P15(f7(f5(a3,a4)),f7(f7(a2)))),
% 0.52/1.37 inference(scs_inference,[],[84,439,402,395,169,27,46,43,16])).
% 0.52/1.37 cnf(453,plain,
% 0.52/1.37 (P15(f5(a4,a3),f7(a2))),
% 0.52/1.37 inference(scs_inference,[],[96,84,421,439,402,395,169,27,46,43,16,30])).
% 0.52/1.37 cnf(456,plain,
% 0.52/1.37 (~P15(f5(a4,a3),f7(f7(a2)))),
% 0.52/1.37 inference(scs_inference,[],[84,453,360,42])).
% 0.52/1.37 cnf(459,plain,
% 0.52/1.37 (~P15(f5(a4,a3),a2)),
% 0.52/1.37 inference(scs_inference,[],[84,453,207,169,360,42,43])).
% 0.52/1.37 cnf(466,plain,
% 0.52/1.37 (~P15(f5(a3,a4),f7(f7(a2)))),
% 0.52/1.37 inference(scs_inference,[],[86,84,453,448,207,169,360,42,43,36,30,352])).
% 0.52/1.37 cnf(467,plain,
% 0.52/1.37 (P15(f7(f7(a2)),f7(f5(a3,a4)))),
% 0.52/1.37 inference(scs_inference,[],[84,451,30])).
% 0.52/1.37 cnf(470,plain,
% 0.52/1.37 (~P15(f7(f5(a3,a4)),f5(a4,a3))),
% 0.52/1.37 inference(scs_inference,[],[84,456,451,448,387,30,42])).
% 0.52/1.37 cnf(487,plain,
% 0.52/1.37 (P15(f7(f5(a4,a3)),f1(a2,x4871))),
% 0.52/1.37 inference(scs_inference,[],[423,300,30])).
% 0.52/1.37 cnf(490,plain,
% 0.52/1.37 (~P15(f1(f5(a4,a3),x4901),f7(f5(a3,a4)))),
% 0.52/1.37 inference(scs_inference,[],[423,300,278,163,239,30,43])).
% 0.52/1.37 cnf(494,plain,
% 0.52/1.37 (P14(f7(f7(a2)),f5(a3,a4))),
% 0.52/1.37 inference(scs_inference,[],[423,467,300,278,163,239,30,43,27])).
% 0.52/1.37 cnf(499,plain,
% 0.52/1.37 (~P15(f5(a3,a4),a2)),
% 0.52/1.37 inference(scs_inference,[],[466,161,30])).
% 0.52/1.37 cnf(508,plain,
% 0.52/1.37 (P15(f1(f7(a2),x5081),f7(f5(a3,a4)))),
% 0.52/1.37 inference(scs_inference,[],[372,207,30])).
% 0.52/1.37 cnf(512,plain,
% 0.52/1.37 (~P14(f1(f5(a4,a3),x5121),f5(a3,a4))),
% 0.52/1.37 inference(scs_inference,[],[123,372,490,207,30,18,21])).
% 0.52/1.37 cnf(528,plain,
% 0.52/1.37 (~P15(f7(f5(a4,a3)),f7(f1(a2,x5281)))),
% 0.52/1.37 inference(scs_inference,[],[512,487,421,300,163,30,17,42])).
% 0.52/1.37 cnf(536,plain,
% 0.52/1.37 (~P15(f1(f7(a2),x5361),f5(a3,a4))+P12(f1(f7(a2),x5361),f7(f5(a3,a4)))),
% 0.52/1.37 inference(scs_inference,[],[512,508,487,494,421,300,163,6,30,17,42,14,25,44])).
% 0.52/1.37 cnf(542,plain,
% 0.52/1.37 (~P12(x5421,x5422)),
% 0.52/1.37 inference(rename_variables,[],[6])).
% 0.52/1.37 cnf(543,plain,
% 0.52/1.37 (P12(f1(f7(a2),x5431),f5(a4,a3))+~P15(f1(f7(a2),x5431),f7(f5(a4,a3)))),
% 0.52/1.37 inference(scs_inference,[],[364,6,542,536,44])).
% 0.52/1.37 cnf(548,plain,
% 0.52/1.37 (~P15(f1(f7(a2),x5481),f7(f5(a4,a3)))),
% 0.52/1.37 inference(scs_inference,[],[6,543])).
% 0.52/1.37 cnf(586,plain,
% 0.52/1.37 (~P14(f7(f5(a4,a3)),f1(a2,x5861))),
% 0.52/1.37 inference(scs_inference,[],[470,528,18,15,21])).
% 0.52/1.37 cnf(590,plain,
% 0.52/1.37 (P15(f1(f7(x5901),x5902),f1(x5901,x5903))),
% 0.52/1.37 inference(scs_inference,[],[470,528,259,423,300,18,15,21,26,30])).
% 0.52/1.37 cnf(593,plain,
% 0.52/1.37 (P15(f1(a2,x5931),f7(f5(a4,a3)))),
% 0.52/1.37 inference(scs_inference,[],[418,548,30])).
% 0.52/1.37 cnf(598,plain,
% 0.52/1.37 (~P15(f7(f7(a2)),f5(a4,a3))+P12(f7(f7(a2)),f7(f5(a4,a3)))),
% 0.52/1.37 inference(scs_inference,[],[586,418,548,395,6,30,17,44])).
% 0.52/1.37 cnf(609,plain,
% 0.52/1.37 (~P15(f7(f7(a2)),f5(a4,a3))),
% 0.52/1.37 inference(scs_inference,[],[6,598])).
% 0.52/1.37 cnf(610,plain,
% 0.52/1.37 (~P12(x6101,x6102)),
% 0.52/1.37 inference(rename_variables,[],[6])).
% 0.52/1.37 cnf(614,plain,
% 0.52/1.37 (P14(f1(a2,x6141),f5(a4,a3))),
% 0.52/1.37 inference(scs_inference,[],[593,590,6,610,598,44,27])).
% 0.52/1.37 cnf(626,plain,
% 0.52/1.37 (P12(f1(a2,x6261),f5(a4,a3))+~P15(f1(a2,x6261),f5(a4,a3))),
% 0.52/1.37 inference(scs_inference,[],[593,84,6,42,44])).
% 0.52/1.37 cnf(636,plain,
% 0.52/1.37 (~P14(f1(f7(x6361),x6362),x6361)),
% 0.52/1.37 inference(scs_inference,[],[146,609,6,626,18,15,21])).
% 0.52/1.37 cnf(647,plain,
% 0.52/1.37 ($false),
% 0.52/1.37 inference(scs_inference,[],[636,459,614,499,219,17,14,25,30]),
% 0.52/1.37 ['proof']).
% 0.52/1.37 % SZS output end Proof
% 0.52/1.37 % Total time :0.740000s
%------------------------------------------------------------------------------