TSTP Solution File: SWV464+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV464+1 : 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 : n004.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 : Thu Aug 31 21:33:51 EDT 2023
% Result : Theorem 0.88s 0.96s
% Output : CNFRefutation 0.88s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWV464+1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.12/0.33 % Computer : n004.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue Aug 29 06:39:22 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.18/0.56 start to proof:theBenchmark
% 0.78/0.94 %-------------------------------------------
% 0.78/0.94 % File :CSE---1.6
% 0.78/0.94 % Problem :theBenchmark
% 0.78/0.94 % Transform :cnf
% 0.78/0.94 % Format :tptp:raw
% 0.78/0.94 % Command :java -jar mcs_scs.jar %d %s
% 0.78/0.94
% 0.78/0.94 % Result :Theorem 0.310000s
% 0.78/0.94 % Output :CNFRefutation 0.310000s
% 0.78/0.94 %-------------------------------------------
% 0.88/0.95 %------------------------------------------------------------------------------
% 0.88/0.95 % File : SWV464+1 : TPTP v8.1.2. Released v4.0.0.
% 0.88/0.95 % Domain : Software Verification
% 0.88/0.95 % Problem : Establishing that there cannot be two leaders, part i52_p46
% 0.88/0.95 % Version : [Sve07] axioms : Especial.
% 0.88/0.95 % English :
% 0.88/0.95
% 0.88/0.95 % Refs : [Sto97] Stoller (1997), Leader Election in Distributed Systems
% 0.88/0.95 % : [Sve07] Svensson (2007), Email to Koen Claessen
% 0.88/0.95 % : [Sve08] Svensson (2008), A Semi-Automatic Correctness Proof Pr
% 0.88/0.95 % Source : [Sve07]
% 0.88/0.95 % Names : stoller_i52_p46 [Sve07]
% 0.88/0.95
% 0.88/0.95 % Status : Theorem
% 0.88/0.95 % Rating : 0.33 v7.5.0, 0.31 v7.4.0, 0.27 v7.3.0, 0.28 v7.2.0, 0.24 v7.1.0, 0.26 v7.0.0, 0.30 v6.4.0, 0.35 v6.3.0, 0.38 v6.2.0, 0.44 v6.1.0, 0.47 v6.0.0, 0.43 v5.5.0, 0.56 v5.4.0, 0.57 v5.3.0, 0.63 v5.2.0, 0.45 v5.1.0, 0.52 v5.0.0, 0.58 v4.1.0, 0.57 v4.0.0
% 0.88/0.95 % Syntax : Number of formulae : 67 ( 40 unt; 0 def)
% 0.88/0.95 % Number of atoms : 202 ( 102 equ)
% 0.88/0.95 % Maximal formula atoms : 91 ( 3 avg)
% 0.88/0.95 % Number of connectives : 200 ( 65 ~; 10 |; 78 &)
% 0.88/0.95 % ( 13 <=>; 34 =>; 0 <=; 0 <~>)
% 0.88/0.95 % Maximal formula depth : 32 ( 4 avg)
% 0.88/0.95 % Maximal term depth : 4 ( 2 avg)
% 0.88/0.95 % Number of predicates : 6 ( 5 usr; 0 prp; 1-2 aty)
% 0.88/0.95 % Number of functors : 33 ( 33 usr; 16 con; 0-2 aty)
% 0.88/0.95 % Number of variables : 165 ( 164 !; 1 ?)
% 0.88/0.95 % SPC : FOF_THM_RFO_SEQ
% 0.88/0.95
% 0.88/0.95 % Comments :
% 0.88/0.95 %------------------------------------------------------------------------------
% 0.88/0.95 %----Include axioms for verification of Stoller's leader election algorithm
% 0.88/0.95 include('Axioms/SWV011+0.ax').
% 0.88/0.95 %------------------------------------------------------------------------------
% 0.88/0.95 fof(conj,conjecture,
% 0.88/0.95 ! [V,W,X,Y] :
% 0.88/0.95 ( ( ! [Z,Pid0] :
% 0.88/0.95 ( elem(m_Ldr(Pid0),queue(host(Z)))
% 0.88/0.95 => ~ leq(host(Z),host(Pid0)) )
% 0.88/0.95 & ! [Z,Pid0] :
% 0.88/0.95 ( elem(m_Down(Pid0),queue(host(Z)))
% 0.88/0.95 => host(Pid0) != host(Z) )
% 0.88/0.95 & ! [Z,Pid0] :
% 0.88/0.95 ( elem(m_Halt(Pid0),queue(host(Z)))
% 0.88/0.95 => ~ leq(host(Z),host(Pid0)) )
% 0.88/0.95 & ! [Z,Pid20,Pid0] :
% 0.88/0.95 ( elem(m_Ack(Pid0,Z),queue(host(Pid20)))
% 0.88/0.95 => ~ leq(host(Z),host(Pid0)) )
% 0.88/0.95 & ! [Z,Pid0] :
% 0.88/0.95 ( ( Pid0 != Z
% 0.88/0.95 & host(Pid0) = host(Z) )
% 0.88/0.95 => ( ~ setIn(Z,alive)
% 0.88/0.95 | ~ setIn(Pid0,alive) ) )
% 0.88/0.95 & ! [Z,Pid0] :
% 0.88/0.95 ( ( setIn(Pid0,alive)
% 0.88/0.95 & elem(m_Ack(Pid0,Z),queue(host(Pid0))) )
% 0.88/0.95 => leq(host(Z),index(pendack,host(Pid0))) )
% 0.88/0.95 & ! [Z,Pid0] :
% 0.88/0.95 ( ( setIn(Pid0,alive)
% 0.88/0.95 & index(status,host(Pid0)) = elec_1 )
% 0.88/0.95 => ~ elem(m_Ack(Pid0,Z),queue(host(Pid0))) )
% 0.88/0.95 & ! [Z] :
% 0.88/0.95 ( ( ( index(status,host(Z)) = elec_1
% 0.88/0.95 | index(status,host(Z)) = elec_2 )
% 0.88/0.95 & setIn(Z,alive) )
% 0.88/0.95 => index(elid,host(Z)) = Z )
% 0.88/0.95 & ! [Z,Pid20,Pid0] :
% 0.88/0.95 ( ( setIn(Pid0,alive)
% 0.88/0.95 & elem(m_Down(Pid20),queue(host(Pid0)))
% 0.88/0.95 & host(Pid20) = host(Z) )
% 0.88/0.95 => ~ ( setIn(Z,alive)
% 0.88/0.95 & index(ldr,host(Z)) = host(Z)
% 0.88/0.95 & index(status,host(Z)) = norm ) )
% 0.88/0.95 & ! [Z,Pid0] :
% 0.88/0.95 ( ( ~ leq(host(Z),host(Pid0))
% 0.88/0.95 & setIn(Z,alive)
% 0.88/0.95 & setIn(Pid0,alive)
% 0.88/0.95 & index(status,host(Z)) = elec_2
% 0.88/0.95 & index(status,host(Pid0)) = elec_2 )
% 0.88/0.95 => leq(index(pendack,host(Pid0)),host(Z)) )
% 0.88/0.95 & ! [Z,Pid20,Pid0] :
% 0.88/0.95 ( ( setIn(Z,alive)
% 0.88/0.95 & setIn(Pid0,alive)
% 0.88/0.95 & host(Pid0) = host(Pid20)
% 0.88/0.95 & index(status,host(Z)) = elec_2
% 0.88/0.95 & index(status,host(Pid0)) = elec_2 )
% 0.88/0.95 => ~ elem(m_Ack(Z,Pid20),queue(host(Z))) )
% 0.88/0.95 & ! [Z,Pid0] :
% 0.88/0.95 ( ( ~ leq(host(Z),host(Pid0))
% 0.88/0.95 & setIn(Z,alive)
% 0.88/0.95 & setIn(Pid0,alive)
% 0.88/0.95 & index(status,host(Z)) = elec_2
% 0.88/0.95 & index(status,host(Pid0)) = elec_2 )
% 0.88/0.95 => ~ leq(index(pendack,host(Z)),index(pendack,host(Pid0))) )
% 0.88/0.95 & ! [Z,Pid20,Pid0] :
% 0.88/0.95 ( ( ~ leq(index(pendack,host(Pid0)),host(Z))
% 0.88/0.95 & setIn(Pid0,alive)
% 0.88/0.95 & elem(m_Halt(Pid0),queue(host(Pid20)))
% 0.88/0.95 & index(status,host(Pid0)) = elec_2 )
% 0.88/0.95 => ~ ( setIn(Z,alive)
% 0.88/0.95 & index(ldr,host(Z)) = host(Z)
% 0.88/0.95 & index(status,host(Z)) = norm ) )
% 0.88/0.95 & ! [Z,Pid30,Pid20,Pid0] :
% 0.88/0.95 ( ( ! [V0] :
% 0.88/0.95 ( ( ~ leq(host(Pid0),V0)
% 0.88/0.95 & leq(s(zero),V0) )
% 0.88/0.95 => ( setIn(V0,index(down,host(Pid0)))
% 0.88/0.95 | V0 = host(Pid20) ) )
% 0.88/0.95 & elem(m_Down(Pid20),queue(host(Pid0)))
% 0.88/0.95 & host(Pid0) = nbr_proc
% 0.88/0.95 & host(Pid0) = host(Pid30)
% 0.88/0.95 & index(status,host(Pid0)) = elec_1 )
% 0.88/0.95 => ~ ( setIn(Z,alive)
% 0.88/0.95 & elem(m_Down(Pid30),queue(host(Z))) ) )
% 0.88/0.95 & ! [Z,Pid30,Pid20,Pid0] :
% 0.88/0.95 ( ( setIn(Pid0,alive)
% 0.88/0.95 & elem(m_Down(Pid20),queue(host(Pid0)))
% 0.88/0.95 & elem(m_Ack(Pid0,Pid30),queue(host(Pid0)))
% 0.88/0.95 & leq(nbr_proc,s(index(pendack,host(Pid0))))
% 0.88/0.95 & index(status,host(Pid0)) = elec_2
% 0.88/0.95 & host(Pid30) = index(pendack,host(Pid0))
% 0.88/0.95 & host(Pid20) = s(index(pendack,host(Pid0))) )
% 0.88/0.95 => ~ ( setIn(Z,alive)
% 0.88/0.95 & index(ldr,host(Z)) = host(Z)
% 0.88/0.95 & index(status,host(Z)) = norm ) )
% 0.88/0.95 & queue(host(X)) = cons(m_Ack(W,Y),V) )
% 0.88/0.95 => ( setIn(X,alive)
% 0.88/0.95 => ( ( index(elid,host(X)) = W
% 0.88/0.95 & index(status,host(X)) = elec_2
% 0.88/0.95 & host(Y) = index(pendack,host(X)) )
% 0.88/0.95 => ( ~ leq(nbr_proc,index(pendack,host(X)))
% 0.88/0.95 => ! [Z,W0,X0,Y0] :
% 0.88/0.95 ( s(index(pendack,host(X))) = host(Y0)
% 0.88/0.95 => ( host(X) != host(Y0)
% 0.88/0.95 => ( ( setIn(Y0,alive)
% 0.88/0.96 & leq(nbr_proc,s(index(pendack,host(Y0))))
% 0.88/0.96 & elem(m_Down(X0),snoc(queue(host(Y0)),m_Halt(X)))
% 0.88/0.96 & elem(m_Ack(Y0,W0),snoc(queue(host(Y0)),m_Halt(X)))
% 0.88/0.96 & index(status,host(Y0)) = elec_2
% 0.88/0.96 & host(W0) = index(pendack,host(Y0))
% 0.88/0.96 & host(X0) = s(index(pendack,host(Y0))) )
% 0.88/0.96 => ~ ( setIn(Z,alive)
% 0.88/0.96 & index(ldr,host(Z)) = host(Z)
% 0.88/0.96 & index(status,host(Z)) = norm ) ) ) ) ) ) ) ) ).
% 0.88/0.96
% 0.88/0.96 %------------------------------------------------------------------------------
% 0.88/0.96 %-------------------------------------------
% 0.88/0.96 % Proof found
% 0.88/0.96 % SZS status Theorem for theBenchmark
% 0.88/0.96 % SZS output start Proof
% 0.88/0.96 %ClaNum:178(EqnAxiom:50)
% 0.88/0.96 %VarNum:560(SingletonVarNum:295)
% 0.88/0.96 %MaxLitNum:11
% 0.88/0.96 %MaxfuncDepth:3
% 0.88/0.96 %SharedTerms:72
% 0.88/0.96 %goalClause: 54 55 56 58 59 60 61 63 64 65 75 76 77 78 80 81 88 110
% 0.88/0.96 %singleGoalClaCount:18
% 0.88/0.96 [51]P1(a1)
% 0.88/0.96 [54]P5(a4,a5)
% 0.88/0.96 [55]P5(a21,a5)
% 0.88/0.96 [56]P5(a6,a5)
% 0.88/0.96 [81]P4(a4,a22,a15,a14)
% 0.88/0.96 [82]~E(a9,a7)
% 0.88/0.96 [83]~E(a46,a9)
% 0.88/0.96 [84]~E(a46,a7)
% 0.88/0.96 [85]~E(a9,a31)
% 0.88/0.96 [86]~E(a31,a7)
% 0.88/0.96 [87]~E(a46,a31)
% 0.88/0.96 [99]~P5(a36,a5)
% 0.88/0.96 [62]P2(f40(a44),a32)
% 0.88/0.96 [88]~E(f23(a6),f23(a4))
% 0.88/0.96 [58]E(f25(a39,f23(a4)),a7)
% 0.88/0.96 [59]E(f25(a39,f23(a21)),a31)
% 0.88/0.96 [60]E(f25(a39,f23(a6)),a7)
% 0.88/0.96 [61]E(f25(a11,f23(a4)),a14)
% 0.88/0.96 [63]E(f25(a37,f23(a4)),f23(a22))
% 0.88/0.96 [64]E(f25(a37,f23(a6)),f23(a12))
% 0.88/0.96 [65]E(f25(a26,f23(a21)),f23(a21))
% 0.88/0.96 [77]P3(f3(a13),f42(f41(f23(a6)),f2(a4)))
% 0.88/0.96 [80]P3(f29(a6,a12),f42(f41(f23(a6)),f2(a4)))
% 0.88/0.96 [110]~P2(a32,f25(a37,f23(a4)))
% 0.88/0.96 [75]E(f40(f25(a37,f23(a6))),f23(a13))
% 0.88/0.96 [76]E(f40(f25(a37,f23(a4))),f23(a6))
% 0.88/0.96 [78]P2(a32,f40(f25(a37,f23(a6))))
% 0.88/0.96 [57]P2(x571,x571)
% 0.88/0.96 [100]~P3(x1001,a1)
% 0.88/0.96 [101]~P5(x1011,a43)
% 0.88/0.96 [66]P2(f23(x661),a32)
% 0.88/0.96 [67]P2(f40(a44),f23(x671))
% 0.88/0.96 [68]E(f42(a1,x681),f8(x681,a1))
% 0.88/0.96 [69]P1(f8(x691,a1))
% 0.88/0.96 [70]P1(f42(a1,x701))
% 0.88/0.96 [109]~P2(f40(x1091),x1091)
% 0.88/0.96 [52]E(f30(f2(x521)),x521)
% 0.88/0.96 [53]E(f30(f3(x531)),x531)
% 0.88/0.96 [89]~E(f3(x891),f2(x892))
% 0.88/0.96 [90]~E(f33(x901),f3(x902))
% 0.88/0.96 [91]~E(f33(x911),f2(x912))
% 0.88/0.96 [92]~E(f34(x921),f3(x922))
% 0.88/0.96 [93]~E(f34(x931),f2(x932))
% 0.88/0.96 [94]~E(f34(x941),f33(x942))
% 0.88/0.96 [95]~E(f35(x951),f3(x952))
% 0.88/0.96 [96]~E(f35(x961),f34(x962))
% 0.88/0.96 [97]~E(f35(x971),f2(x972))
% 0.88/0.96 [98]~E(f35(x981),f33(x982))
% 0.88/0.96 [102]~E(f8(x1021,x1022),a1)
% 0.88/0.96 [103]~E(f42(x1031,x1032),a1)
% 0.88/0.96 [71]E(f24(f8(x711,x712)),x711)
% 0.88/0.96 [72]E(f45(f8(x721,x722)),x722)
% 0.88/0.96 [73]E(f27(f42(x731,x732)),x732)
% 0.88/0.96 [74]E(f28(f42(x741,x742)),x741)
% 0.88/0.96 [104]~E(f29(x1041,x1042),f2(x1043))
% 0.88/0.96 [105]~E(f29(x1051,x1052),f3(x1053))
% 0.88/0.96 [106]~E(f29(x1061,x1062),f33(x1063))
% 0.88/0.96 [107]~E(f29(x1071,x1072),f34(x1073))
% 0.88/0.96 [108]~E(f29(x1081,x1082),f35(x1083))
% 0.88/0.96 [79]E(f42(f8(x791,x792),x793),f8(x791,f42(x792,x793)))
% 0.88/0.96 [120]E(x1201,a1)+E(f8(f24(x1201),f45(x1201)),x1201)
% 0.88/0.96 [121]E(x1211,a1)+E(f42(f28(x1211),f27(x1211)),x1211)
% 0.88/0.96 [119]~E(x1191,x1192)+P2(x1191,x1192)
% 0.88/0.96 [122]P2(x1222,x1221)+P2(x1221,x1222)
% 0.88/0.96 [111]P6(x1111)+~E(x1111,f2(x1112))
% 0.88/0.96 [112]P6(x1121)+~E(x1121,f3(x1122))
% 0.88/0.96 [113]E(x1131,x1132)+~E(f2(x1131),f2(x1132))
% 0.88/0.96 [114]E(x1141,x1142)+~E(f3(x1141),f3(x1142))
% 0.88/0.96 [115]E(x1151,x1152)+~E(f33(x1151),f33(x1152))
% 0.88/0.96 [116]E(x1161,x1162)+~E(f34(x1161),f34(x1162))
% 0.88/0.96 [117]E(x1171,x1172)+~E(f35(x1171),f35(x1172))
% 0.88/0.96 [128]~P2(x1281,x1282)+P2(x1281,f40(x1282))
% 0.88/0.96 [134]~P2(x1341,x1342)+P2(f40(x1341),f40(x1342))
% 0.88/0.96 [137]P1(x1371)+~P1(f8(x1372,x1371))
% 0.88/0.96 [138]P1(x1381)+~P1(f42(x1381,x1382))
% 0.88/0.96 [139]P2(x1391,x1392)+~P2(f40(x1391),f40(x1392))
% 0.88/0.96 [125]~E(f23(x1251),f23(x1252))+~E(f40(f23(x1251)),f23(x1252))
% 0.88/0.96 [135]~P1(x1351)+P1(f42(x1351,f34(x1352)))
% 0.88/0.96 [150]P5(x1501,a38)+~P3(f29(x1502,x1501),f41(f23(x1502)))
% 0.88/0.96 [151]P5(x1511,a38)+~P3(f29(x1511,x1512),f41(f23(x1511)))
% 0.88/0.96 [129]~E(x1291,x1292)+P3(x1291,f8(x1292,x1293))
% 0.88/0.96 [130]~E(x1301,x1303)+P3(x1301,f42(x1302,x1303))
% 0.88/0.96 [141]~P3(x1411,x1413)+P3(x1411,f8(x1412,x1413))
% 0.88/0.96 [142]~P3(x1421,x1422)+P3(x1421,f42(x1422,x1423))
% 0.88/0.96 [149]~P1(x1491)+P1(f42(x1491,f29(x1492,x1493)))
% 0.88/0.96 [131]E(x1311,x1312)+~E(f29(x1313,x1311),f29(x1314,x1312))
% 0.88/0.96 [132]E(x1321,x1322)+~E(f29(x1321,x1323),f29(x1322,x1324))
% 0.88/0.96 [159]~P4(x1591,x1593,x1594,x1592)+E(f41(f23(x1591)),f8(f29(x1592,x1593),x1594))
% 0.88/0.96 [124]~P6(x1241)+E(f3(f18(x1241)),x1241)+E(f2(f16(x1241)),x1241)
% 0.88/0.96 [133]~P2(x1332,x1331)+~P2(x1331,x1332)+E(x1331,x1332)
% 0.88/0.96 [126]~P1(x1262)+P6(x1261)+P1(f8(x1261,x1262))
% 0.88/0.96 [127]~P1(x1272)+P6(x1271)+P1(f42(x1272,x1271))
% 0.88/0.96 [136]P2(x1361,x1362)+E(x1361,f40(x1362))+~P2(x1361,f40(x1362))
% 0.88/0.96 [143]~P1(x1432)+P1(f8(x1431,x1432))+P6(f19(x1431,x1432))
% 0.88/0.96 [144]~P1(x1442)+P1(f42(x1442,x1441))+P6(f20(x1441,x1442))
% 0.88/0.96 [145]~P1(x1452)+P3(f19(x1451,x1452),x1452)+P1(f8(x1451,x1452))
% 0.88/0.96 [146]~P1(x1461)+P3(f20(x1462,x1461),x1461)+P1(f42(x1461,x1462))
% 0.88/0.96 [157]~P1(x1572)+~P2(f30(x1571),f30(f19(x1571,x1572)))+P1(f8(x1571,x1572))
% 0.88/0.96 [158]~P1(x1581)+~P2(f30(f20(x1582,x1581)),f30(x1582))+P1(f42(x1581,x1582))
% 0.88/0.96 [152]~P1(x1522)+P1(f8(x1521,x1522))+E(f23(f30(f19(x1521,x1522))),f23(f30(x1521)))
% 0.88/0.96 [153]~P1(x1532)+P1(f42(x1532,x1531))+E(f23(f30(f20(x1531,x1532))),f23(f30(x1531)))
% 0.88/0.96 [140]~P2(x1401,x1403)+P2(x1401,x1402)+~P2(x1403,x1402)
% 0.88/0.96 [147]E(x1471,x1472)+P3(x1471,x1473)+~P3(x1471,f42(x1473,x1472))
% 0.88/0.96 [148]E(x1481,x1482)+P3(x1481,x1483)+~P3(x1481,f8(x1482,x1483))
% 0.88/0.96 [163]~P4(x1633,x1634,x1635,x1636)+~E(f23(x1631),f23(x1632))+~P3(f3(x1631),f41(f23(x1632)))
% 0.88/0.96 [164]~P4(x1641,x1642,x1643,x1644)+~P2(f23(x1645),f23(x1646))+~P3(f2(x1646),f41(f23(x1645)))
% 0.88/0.96 [165]~P4(x1651,x1652,x1653,x1654)+~P2(f23(x1655),f23(x1656))+~P3(f34(x1656),f41(f23(x1655)))
% 0.88/0.96 [166]~P4(x1661,x1662,x1663,x1664)+~P2(f23(x1665),f23(x1666))+~P3(f29(x1666,x1665),f41(f23(x1667)))
% 0.88/0.96 [154]P2(x1541,x1542)+~E(f23(x1541),f23(x1542))+~P3(f3(x1542),x1543)+~P1(f8(f2(x1541),x1543))
% 0.88/0.96 [161]~P4(x1612,x1613,x1614,x1615)+~P5(x1611,a5)+E(f25(a11,f23(x1611)),x1611)+~E(f25(a39,f23(x1611)),a9)
% 0.88/0.96 [162]~P4(x1622,x1623,x1624,x1625)+~P5(x1621,a5)+E(f25(a11,f23(x1621)),x1621)+~E(f25(a39,f23(x1621)),a7)
% 0.88/0.96 [167]~P4(x1672,x1673,x1674,x1675)+~P5(x1671,a5)+~P3(f29(x1671,x1676),f41(f23(x1671)))+~E(f25(a39,f23(x1671)),a9)
% 0.88/0.96 [168]~P4(x1683,x1684,x1685,x1686)+~P5(x1682,a5)+~P3(f29(x1682,x1681),f41(f23(x1682)))+P2(f23(x1681),f25(a37,f23(x1682)))
% 0.88/0.96 [160]E(x1601,x1602)+~P4(x1603,x1604,x1605,x1606)+~E(f23(x1601),f23(x1602))+~P5(x1602,a5)+~P5(x1601,a5)
% 0.88/0.96 [155]~P6(x1551)+~P6(x1552)+~P3(x1552,x1553)+P2(f30(x1551),f30(x1552))+~P1(f8(x1551,x1553))+~E(f23(f30(x1552)),f23(f30(x1551)))
% 0.88/0.96 [156]~P6(x1562)+~P6(x1561)+~P3(x1561,x1563)+P2(f30(x1561),f30(x1562))+~P1(f42(x1563,x1562))+~E(f23(f30(x1561)),f23(f30(x1562)))
% 0.88/0.96 [170]~P4(x1703,x1704,x1705,x1706)+~P5(x1702,a5)+~P5(x1701,a5)+P2(f23(x1701),f23(x1702))+P2(f25(a37,f23(x1702)),f23(x1701))+~E(f25(a39,f23(x1701)),a7)+~E(f25(a39,f23(x1702)),a7)
% 0.88/0.96 [173]~P4(x1733,x1734,x1735,x1736)+~P5(x1732,a5)+~P5(x1731,a5)+P2(f23(x1731),f23(x1732))+~P2(f25(a37,f23(x1731)),f25(a37,f23(x1732)))+~E(f25(a39,f23(x1731)),a7)+~E(f25(a39,f23(x1732)),a7)
% 0.88/0.96 [169]~P4(x1694,x1695,x1696,x1697)+~P5(x1692,a5)+~E(f23(x1691),f23(x1692))+~P5(x1693,a5)+~P3(f3(x1691),f41(f23(x1693)))+~E(f25(a26,f23(x1692)),f23(x1692))+~E(f25(a39,f23(x1692)),a31)
% 0.88/0.96 [171]~P4(x1714,x1715,x1716,x1717)+~P5(x1711,a5)+~P5(x1713,a5)+~E(f23(x1711),f23(x1712))+~P3(f29(x1713,x1712),f41(f23(x1713)))+~E(f25(a39,f23(x1711)),a7)+~E(f25(a39,f23(x1713)),a7)
% 0.88/0.96 [172]~P4(x1723,x1724,x1725,x1726)+~P5(x1722,a5)+~P5(x1721,a5)+~P3(f2(x1721),f41(f23(x1727)))+P2(f25(a37,f23(x1721)),f23(x1722))+~E(f25(a26,f23(x1722)),f23(x1722))+~E(f25(a39,f23(x1721)),a7)+~E(f25(a39,f23(x1722)),a31)
% 0.88/0.96 [175]~P4(x1756,x1755,x1754,x1753)+~P5(x1757,a5)+~E(f17(x1753,x1754,x1755,x1756,x1757,x1752,x1758,x1751),f23(x1758))+~E(f23(x1752),f23(x1751))+~P3(f3(x1752),f41(f23(x1757)))+~P3(f3(x1758),f41(f23(x1751)))+~E(f23(x1751),a32)+~E(f25(a39,f23(x1751)),a9)
% 0.88/0.96 [176]~P4(x1764,x1763,x1762,x1761)+~E(f23(x1766),f23(x1768))+~P5(x1765,a5)+P2(f40(a44),f17(x1761,x1762,x1763,x1764,x1765,x1766,x1767,x1768))+~E(f23(x1768),a32)+~P3(f3(x1767),f41(f23(x1768)))+~P3(f3(x1766),f41(f23(x1765)))+~E(f25(a39,f23(x1768)),a9)
% 0.88/0.96 [177]~P4(x1774,x1775,x1776,x1777)+~P2(f23(x1771),f17(x1777,x1776,x1775,x1774,x1773,x1772,x1778,x1771))+~E(f23(x1771),f23(x1772))+~P5(x1773,a5)+~P3(f3(x1772),f41(f23(x1773)))+~E(f23(x1771),a32)+~P3(f3(x1778),f41(f23(x1771)))+~E(f25(a39,f23(x1771)),a9)
% 0.88/0.96 [178]~P4(x1784,x1785,x1786,x1787)+~E(f23(x1782),f23(x1781))+~P5(x1783,a5)+~P3(f3(x1782),f41(f23(x1783)))+~E(f23(x1781),a32)+~P3(f3(x1788),f41(f23(x1781)))+~P5(f17(x1787,x1786,x1785,x1784,x1783,x1782,x1788,x1781),f25(a10,f23(x1781)))+~E(f25(a39,f23(x1781)),a9)
% 0.88/0.96 [174]~P4(x1745,x1746,x1747,x1748)+~P5(x1741,a5)+~P5(x1742,a5)+~P3(f29(x1742,x1743),f41(f23(x1742)))+~P3(f3(x1744),f41(f23(x1742)))+~E(f25(a26,f23(x1741)),f23(x1741))+~E(f23(x1743),f25(a37,f23(x1742)))+~E(f23(x1744),f40(f25(a37,f23(x1742))))+~E(f25(a39,f23(x1741)),a31)+~E(f25(a39,f23(x1742)),a7)+~P2(a32,f40(f25(a37,f23(x1742))))
% 0.88/0.96 %EqnAxiom
% 0.88/0.96 [1]E(x11,x11)
% 0.88/0.96 [2]E(x22,x21)+~E(x21,x22)
% 0.88/0.96 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.88/0.96 [4]~E(x41,x42)+E(f2(x41),f2(x42))
% 0.88/0.96 [5]~E(x51,x52)+E(f30(x51),f30(x52))
% 0.88/0.96 [6]~E(x61,x62)+E(f3(x61),f3(x62))
% 0.88/0.96 [7]~E(x71,x72)+E(f17(x71,x73,x74,x75,x76,x77,x78,x79),f17(x72,x73,x74,x75,x76,x77,x78,x79))
% 0.88/0.96 [8]~E(x81,x82)+E(f17(x83,x81,x84,x85,x86,x87,x88,x89),f17(x83,x82,x84,x85,x86,x87,x88,x89))
% 0.88/0.96 [9]~E(x91,x92)+E(f17(x93,x94,x91,x95,x96,x97,x98,x99),f17(x93,x94,x92,x95,x96,x97,x98,x99))
% 0.88/0.96 [10]~E(x101,x102)+E(f17(x103,x104,x105,x101,x106,x107,x108,x109),f17(x103,x104,x105,x102,x106,x107,x108,x109))
% 0.88/0.96 [11]~E(x111,x112)+E(f17(x113,x114,x115,x116,x111,x117,x118,x119),f17(x113,x114,x115,x116,x112,x117,x118,x119))
% 0.88/0.96 [12]~E(x121,x122)+E(f17(x123,x124,x125,x126,x127,x121,x128,x129),f17(x123,x124,x125,x126,x127,x122,x128,x129))
% 0.88/0.96 [13]~E(x131,x132)+E(f17(x133,x134,x135,x136,x137,x138,x131,x139),f17(x133,x134,x135,x136,x137,x138,x132,x139))
% 0.88/0.96 [14]~E(x141,x142)+E(f17(x143,x144,x145,x146,x147,x148,x149,x141),f17(x143,x144,x145,x146,x147,x148,x149,x142))
% 0.88/0.96 [15]~E(x151,x152)+E(f23(x151),f23(x152))
% 0.88/0.96 [16]~E(x161,x162)+E(f25(x161,x163),f25(x162,x163))
% 0.88/0.96 [17]~E(x171,x172)+E(f25(x173,x171),f25(x173,x172))
% 0.88/0.96 [18]~E(x181,x182)+E(f41(x181),f41(x182))
% 0.88/0.96 [19]~E(x191,x192)+E(f42(x191,x193),f42(x192,x193))
% 0.88/0.96 [20]~E(x201,x202)+E(f42(x203,x201),f42(x203,x202))
% 0.88/0.96 [21]~E(x211,x212)+E(f29(x211,x213),f29(x212,x213))
% 0.88/0.96 [22]~E(x221,x222)+E(f29(x223,x221),f29(x223,x222))
% 0.88/0.96 [23]~E(x231,x232)+E(f8(x231,x233),f8(x232,x233))
% 0.88/0.96 [24]~E(x241,x242)+E(f8(x243,x241),f8(x243,x242))
% 0.88/0.96 [25]~E(x251,x252)+E(f20(x251,x253),f20(x252,x253))
% 0.88/0.96 [26]~E(x261,x262)+E(f20(x263,x261),f20(x263,x262))
% 0.88/0.96 [27]~E(x271,x272)+E(f33(x271),f33(x272))
% 0.88/0.96 [28]~E(x281,x282)+E(f40(x281),f40(x282))
% 0.88/0.96 [29]~E(x291,x292)+E(f34(x291),f34(x292))
% 0.88/0.96 [30]~E(x301,x302)+E(f19(x301,x303),f19(x302,x303))
% 0.88/0.96 [31]~E(x311,x312)+E(f19(x313,x311),f19(x313,x312))
% 0.88/0.96 [32]~E(x321,x322)+E(f27(x321),f27(x322))
% 0.88/0.96 [33]~E(x331,x332)+E(f35(x331),f35(x332))
% 0.88/0.96 [34]~E(x341,x342)+E(f18(x341),f18(x342))
% 0.88/0.96 [35]~E(x351,x352)+E(f24(x351),f24(x352))
% 0.88/0.96 [36]~E(x361,x362)+E(f16(x361),f16(x362))
% 0.88/0.96 [37]~E(x371,x372)+E(f28(x371),f28(x372))
% 0.88/0.96 [38]~E(x381,x382)+E(f45(x381),f45(x382))
% 0.88/0.96 [39]~P1(x391)+P1(x392)+~E(x391,x392)
% 0.88/0.96 [40]P5(x402,x403)+~E(x401,x402)+~P5(x401,x403)
% 0.88/0.96 [41]P5(x413,x412)+~E(x411,x412)+~P5(x413,x411)
% 0.88/0.96 [42]P2(x422,x423)+~E(x421,x422)+~P2(x421,x423)
% 0.88/0.96 [43]P2(x433,x432)+~E(x431,x432)+~P2(x433,x431)
% 0.88/0.96 [44]P3(x442,x443)+~E(x441,x442)+~P3(x441,x443)
% 0.88/0.96 [45]P3(x453,x452)+~E(x451,x452)+~P3(x453,x451)
% 0.88/0.96 [46]P4(x462,x463,x464,x465)+~E(x461,x462)+~P4(x461,x463,x464,x465)
% 0.88/0.96 [47]P4(x473,x472,x474,x475)+~E(x471,x472)+~P4(x473,x471,x474,x475)
% 0.88/0.96 [48]P4(x483,x484,x482,x485)+~E(x481,x482)+~P4(x483,x484,x481,x485)
% 0.88/0.96 [49]P4(x493,x494,x495,x492)+~E(x491,x492)+~P4(x493,x494,x495,x491)
% 0.88/0.96 [50]~P6(x501)+P6(x502)+~E(x501,x502)
% 0.88/0.96
% 0.88/0.96 %-------------------------------------------
% 0.88/0.96 cnf(179,plain,
% 0.88/0.96 (E(a7,f25(a39,f23(a4)))),
% 0.88/0.96 inference(scs_inference,[],[58,2])).
% 0.88/0.96 cnf(180,plain,
% 0.88/0.96 (P2(f25(a37,f23(a4)),a32)),
% 0.88/0.96 inference(scs_inference,[],[110,58,2,122])).
% 0.88/0.96 cnf(185,plain,
% 0.88/0.96 (E(f30(f2(x1851)),x1851)),
% 0.88/0.96 inference(rename_variables,[],[52])).
% 0.88/0.96 cnf(187,plain,
% 0.88/0.96 (P6(f30(f2(f2(x1871))))),
% 0.88/0.96 inference(scs_inference,[],[110,58,52,185,2,122,119,112,111])).
% 0.88/0.96 cnf(188,plain,
% 0.88/0.96 (E(f30(f2(x1881)),x1881)),
% 0.88/0.96 inference(rename_variables,[],[52])).
% 0.88/0.96 cnf(191,plain,
% 0.88/0.96 (~P2(f40(x1911),x1911)),
% 0.88/0.96 inference(rename_variables,[],[109])).
% 0.88/0.96 cnf(195,plain,
% 0.88/0.96 (E(f30(f2(x1951)),x1951)),
% 0.88/0.96 inference(rename_variables,[],[52])).
% 0.88/0.96 cnf(197,plain,
% 0.88/0.96 (~P2(f40(x1971),x1971)),
% 0.88/0.96 inference(rename_variables,[],[109])).
% 0.88/0.96 cnf(198,plain,
% 0.88/0.96 (~E(f25(a37,f23(a4)),a32)),
% 0.88/0.96 inference(scs_inference,[],[57,62,88,110,58,109,191,52,185,188,2,122,119,112,111,128,15,50,43,42])).
% 0.88/0.96 cnf(199,plain,
% 0.88/0.96 (P2(x1991,x1991)),
% 0.88/0.96 inference(rename_variables,[],[57])).
% 0.88/0.96 cnf(204,plain,
% 0.88/0.96 (P3(f29(a6,a12),f41(f23(a6)))),
% 0.88/0.96 inference(scs_inference,[],[54,57,101,82,99,62,88,110,58,80,109,191,104,52,185,188,2,122,119,112,111,128,15,50,43,42,41,40,3,147])).
% 0.88/0.96 cnf(207,plain,
% 0.88/0.96 (~P2(f23(a12),f23(a6))),
% 0.88/0.96 inference(scs_inference,[],[54,57,101,81,82,99,62,88,110,58,80,109,191,104,52,185,188,2,122,119,112,111,128,15,50,43,42,41,40,3,147,166])).
% 0.88/0.96 cnf(211,plain,
% 0.88/0.96 (~E(f23(a6),f23(a12))),
% 0.88/0.96 inference(scs_inference,[],[54,57,101,56,81,82,99,62,88,110,58,60,80,109,191,104,52,185,188,2,122,119,112,111,128,15,50,43,42,41,40,3,147,166,162,171])).
% 0.88/0.96 cnf(213,plain,
% 0.88/0.96 (P1(f42(f8(x2131,a1),f29(x2132,x2133)))),
% 0.88/0.96 inference(scs_inference,[],[54,57,101,56,81,82,99,62,88,110,58,60,80,109,191,69,104,52,185,188,2,122,119,112,111,128,15,50,43,42,41,40,3,147,166,162,171,149])).
% 0.88/0.96 cnf(221,plain,
% 0.88/0.96 (P3(f25(a39,f23(a4)),f42(x2211,a7))),
% 0.88/0.96 inference(scs_inference,[],[54,57,101,56,81,82,99,62,88,110,58,60,80,109,191,69,104,52,185,188,2,122,119,112,111,128,15,50,43,42,41,40,3,147,166,162,171,149,142,141,135,130])).
% 0.88/0.96 cnf(223,plain,
% 0.88/0.96 (P3(f25(a39,f23(a4)),f8(a7,x2231))),
% 0.88/0.96 inference(scs_inference,[],[54,57,101,56,81,82,99,62,88,110,58,60,80,109,191,69,104,52,185,188,2,122,119,112,111,128,15,50,43,42,41,40,3,147,166,162,171,149,142,141,135,130,129])).
% 0.88/0.96 cnf(279,plain,
% 0.88/0.96 (~E(f2(a9),f2(a7))),
% 0.88/0.96 inference(scs_inference,[],[54,57,101,56,81,82,99,62,88,110,58,60,80,109,191,102,69,104,52,185,188,2,122,119,112,111,128,15,50,43,42,41,40,3,147,166,162,171,149,142,141,135,130,129,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,14,13,12,11,10,9,8,7,6,5,4,139,134,132,131,121,120,117,116,115,114,113])).
% 0.88/0.96 cnf(290,plain,
% 0.88/0.96 (~P3(f34(x2901),f41(f23(x2901)))),
% 0.88/0.96 inference(scs_inference,[],[54,57,199,100,101,56,81,51,82,99,62,88,110,58,60,80,109,191,197,102,69,104,52,185,188,195,2,122,119,112,111,128,15,50,43,42,41,40,3,147,166,162,171,149,142,141,135,130,129,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,14,13,12,11,10,9,8,7,6,5,4,139,134,132,131,121,120,117,116,115,114,113,159,45,39,140,148,165])).
% 0.88/0.96 cnf(292,plain,
% 0.88/0.97 (~P3(f2(x2921),f41(f23(x2921)))),
% 0.88/0.97 inference(scs_inference,[],[54,57,199,100,101,56,81,51,82,99,62,88,110,58,60,80,109,191,197,102,69,104,52,185,188,195,2,122,119,112,111,128,15,50,43,42,41,40,3,147,166,162,171,149,142,141,135,130,129,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,14,13,12,11,10,9,8,7,6,5,4,139,134,132,131,121,120,117,116,115,114,113,159,45,39,140,148,165,164])).
% 0.88/0.97 cnf(296,plain,
% 0.88/0.97 (P2(f23(a12),f25(a37,f23(a6)))),
% 0.88/0.97 inference(scs_inference,[],[54,57,199,100,101,56,81,51,82,99,62,88,110,58,60,80,109,191,197,102,69,104,52,185,188,195,2,122,119,112,111,128,15,50,43,42,41,40,3,147,166,162,171,149,142,141,135,130,129,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,14,13,12,11,10,9,8,7,6,5,4,139,134,132,131,121,120,117,116,115,114,113,159,45,39,140,148,165,164,167,168])).
% 0.88/0.97 cnf(298,plain,
% 0.88/0.97 (P5(a12,a38)),
% 0.88/0.97 inference(scs_inference,[],[54,57,199,100,101,56,81,51,82,99,62,88,110,58,60,80,109,191,197,102,69,104,52,185,188,195,2,122,119,112,111,128,15,50,43,42,41,40,3,147,166,162,171,149,142,141,135,130,129,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,14,13,12,11,10,9,8,7,6,5,4,139,134,132,131,121,120,117,116,115,114,113,159,45,39,140,148,165,164,167,168,150])).
% 0.88/0.97 cnf(311,plain,
% 0.88/0.97 (~E(a1,f42(f8(x3111,x3112),x3113))+P4(a7,a7,a7,a7)+~E(f23(x3114),f23(x3115))+~P3(f3(x3114),f41(f23(x3115)))),
% 0.88/0.97 inference(scs_inference,[],[54,57,199,100,101,56,81,51,82,99,62,88,110,58,60,80,109,191,197,102,69,104,52,185,188,195,2,122,119,112,111,128,15,50,43,42,41,40,3,147,166,162,171,149,142,141,135,130,129,38,37,36,35,34,33,32,31,30,29,28,27,26,25,24,23,22,21,20,19,18,17,16,14,13,12,11,10,9,8,7,6,5,4,139,134,132,131,121,120,117,116,115,114,113,159,45,39,140,148,165,164,167,168,150,138,137,151,49,48,47,46,44,133,163])).
% 0.88/0.97 cnf(326,plain,
% 0.88/0.97 (E(x3261,x3262)+~P5(x3262,a5)+~P5(x3261,a5)+~E(f23(x3261),f23(x3262))),
% 0.88/0.97 inference(scs_inference,[],[81,160])).
% 0.88/0.97 cnf(327,plain,
% 0.88/0.97 (~P5(x3271,a5)+E(f25(a11,f23(x3271)),x3271)+~E(f25(a39,f23(x3271)),a9)),
% 0.88/0.97 inference(scs_inference,[],[81,161])).
% 0.88/0.97 cnf(328,plain,
% 0.88/0.97 (~P5(x3281,a5)+E(f25(a11,f23(x3281)),x3281)+~E(f25(a39,f23(x3281)),a7)),
% 0.88/0.97 inference(scs_inference,[],[81,162])).
% 0.88/0.97 cnf(329,plain,
% 0.88/0.97 (~E(f23(x3291),f23(x3292))+~P3(f3(x3291),f41(f23(x3292)))),
% 0.88/0.97 inference(scs_inference,[],[81,163])).
% 0.88/0.97 cnf(332,plain,
% 0.88/0.97 (~P2(f23(x3321),f23(x3322))+~P3(f29(x3322,x3321),f41(f23(x3323)))),
% 0.88/0.97 inference(scs_inference,[],[81,166])).
% 0.88/0.97 cnf(333,plain,
% 0.88/0.97 (~P5(x3331,a5)+~P3(f29(x3331,x3332),f41(f23(x3331)))+~E(f25(a39,f23(x3331)),a9)),
% 0.88/0.97 inference(scs_inference,[],[81,167])).
% 0.88/0.97 cnf(335,plain,
% 0.88/0.97 (~E(f23(x3351),f23(x3352))+~P5(x3352,a5)+~P5(x3353,a5)+~P3(f3(x3351),f41(f23(x3353)))+~E(f25(a26,f23(x3352)),f23(x3352))+~E(f25(a39,f23(x3352)),a31)),
% 0.88/0.97 inference(scs_inference,[],[81,169])).
% 0.88/0.97 cnf(336,plain,
% 0.88/0.97 (P2(f23(x3361),f23(x3362))+~P5(x3362,a5)+~P5(x3361,a5)+P2(f25(a37,f23(x3362)),f23(x3361))+~E(f25(a39,f23(x3362)),a7)+~E(f25(a39,f23(x3361)),a7)),
% 0.88/0.97 inference(scs_inference,[],[81,170])).
% 0.88/0.97 cnf(337,plain,
% 0.88/0.97 (~E(f23(x3371),f23(x3372))+~P5(x3371,a5)+~P5(x3373,a5)+~P3(f29(x3373,x3372),f41(f23(x3373)))+~E(f25(a39,f23(x3373)),a7)+~E(f25(a39,f23(x3371)),a7)),
% 0.88/0.97 inference(scs_inference,[],[81,171])).
% 0.88/0.97 cnf(338,plain,
% 0.88/0.97 (~P5(x3381,a5)+~P5(x3382,a5)+~P3(f2(x3382),f41(f23(x3383)))+P2(f25(a37,f23(x3382)),f23(x3381))+~E(f25(a26,f23(x3381)),f23(x3381))+~E(f25(a39,f23(x3381)),a31)+~E(f25(a39,f23(x3382)),a7)),
% 0.88/0.97 inference(scs_inference,[],[81,172])).
% 0.88/0.97 cnf(340,plain,
% 0.88/0.97 (~P5(x3401,a5)+~P5(x3402,a5)+~P3(f29(x3402,x3403),f41(f23(x3402)))+~P3(f3(x3404),f41(f23(x3402)))+~E(f25(a26,f23(x3401)),f23(x3401))+~E(f23(x3403),f25(a37,f23(x3402)))+~E(f23(x3404),f40(f25(a37,f23(x3402))))+~E(f25(a39,f23(x3401)),a31)+~E(f25(a39,f23(x3402)),a7)+~P2(a32,f40(f25(a37,f23(x3402))))),
% 0.88/0.97 inference(scs_inference,[],[81,174])).
% 0.88/0.97 cnf(341,plain,
% 0.88/0.97 (~P3(f29(x3411,x3411),f41(f23(x3412)))),
% 0.88/0.97 inference(scs_inference,[],[57,332])).
% 0.88/0.97 cnf(346,plain,
% 0.88/0.97 (~P2(f23(a12),f40(a44))),
% 0.88/0.97 inference(scs_inference,[],[67,57,60,56,207,332,328,140])).
% 0.88/0.97 cnf(350,plain,
% 0.88/0.97 (~P3(x3501,a1)),
% 0.88/0.97 inference(rename_variables,[],[100])).
% 0.88/0.97 cnf(360,plain,
% 0.88/0.97 (E(f30(f3(x3601)),x3601)),
% 0.88/0.97 inference(rename_variables,[],[53])).
% 0.88/0.97 cnf(364,plain,
% 0.88/0.97 (E(f23(f25(a39,f23(a21))),f23(a31))),
% 0.88/0.97 inference(scs_inference,[],[83,59,66,92,67,53,57,101,60,109,100,56,290,207,332,328,140,147,119,2,122,128,41,148,15])).
% 0.88/0.97 cnf(367,plain,
% 0.88/0.97 (E(f30(f3(x3671)),x3671)),
% 0.88/0.97 inference(rename_variables,[],[53])).
% 0.88/0.97 cnf(370,plain,
% 0.88/0.97 (E(f24(f8(x3701,x3702)),x3701)),
% 0.88/0.97 inference(rename_variables,[],[71])).
% 0.88/0.97 cnf(371,plain,
% 0.88/0.97 (~P2(f40(a31),f25(a39,f23(a21)))),
% 0.88/0.97 inference(scs_inference,[],[83,59,66,92,67,53,360,367,71,57,101,99,60,109,52,100,350,56,290,187,207,332,328,140,147,119,2,122,128,41,148,15,50,45,40,3,43])).
% 0.88/0.97 cnf(372,plain,
% 0.88/0.97 (~P2(f40(x3721),x3721)),
% 0.88/0.97 inference(rename_variables,[],[109])).
% 0.88/0.97 cnf(373,plain,
% 0.88/0.97 (~P2(f24(f8(f40(x3731),x3732)),x3731)),
% 0.88/0.97 inference(scs_inference,[],[83,59,66,92,67,53,360,367,71,370,57,101,99,60,109,372,52,100,350,56,290,187,207,332,328,140,147,119,2,122,128,41,148,15,50,45,40,3,43,42])).
% 0.88/0.97 cnf(395,plain,
% 0.88/0.97 (P4(a4,a22,a15,x3951)+~E(a14,x3951)),
% 0.88/0.97 inference(scs_inference,[],[54,55,83,59,65,78,66,89,92,67,53,360,367,71,370,79,57,101,99,60,109,372,52,100,350,56,81,58,290,187,213,221,207,332,328,140,147,119,2,122,128,41,148,15,50,45,40,3,43,42,44,333,124,39,311,337,335,338,113,133,49])).
% 0.88/0.97 cnf(403,plain,
% 0.88/0.97 (P2(f23(x4031),f40(f25(a37,f23(a6))))),
% 0.88/0.97 inference(scs_inference,[],[78,66,364,329,140])).
% 0.88/0.97 cnf(408,plain,
% 0.88/0.97 (~P3(f2(x4081),f41(f23(x4081)))),
% 0.88/0.97 inference(rename_variables,[],[292])).
% 0.88/0.97 cnf(410,plain,
% 0.88/0.97 (~E(f40(x4101),x4101)),
% 0.88/0.97 inference(scs_inference,[],[84,78,66,109,292,364,279,329,140,113,147,119])).
% 0.88/0.97 cnf(418,plain,
% 0.88/0.97 (E(f45(f8(x4181,x4182)),x4182)),
% 0.88/0.97 inference(rename_variables,[],[72])).
% 0.88/0.97 cnf(422,plain,
% 0.88/0.97 (P2(x4221,x4221)),
% 0.88/0.97 inference(rename_variables,[],[57])).
% 0.88/0.97 cnf(432,plain,
% 0.88/0.97 (~P2(a32,f23(a22))),
% 0.88/0.97 inference(scs_inference,[],[55,179,84,61,63,72,418,78,66,57,422,101,100,109,292,408,373,211,364,346,198,204,279,329,140,113,147,119,122,128,2,41,3,15,42,45,43,44,395,327,133])).
% 0.88/0.97 cnf(441,plain,
% 0.88/0.97 (~P3(f3(x4411),f41(f23(a6)))+~E(f23(x4411),f40(f25(a37,f23(a6))))+~E(f23(a12),f25(a37,f23(a6)))),
% 0.88/0.97 inference(scs_inference,[],[55,179,84,61,63,72,418,65,78,66,57,422,101,60,100,109,59,56,81,292,408,373,211,364,346,198,204,279,207,329,140,113,147,119,122,128,2,41,3,15,42,45,43,44,395,327,133,326,336,176,340])).
% 0.88/0.97 cnf(446,plain,
% 0.88/0.97 (~P2(f23(x4461),a44)),
% 0.88/0.97 inference(scs_inference,[],[77,89,67,109,147,140])).
% 0.88/0.97 cnf(447,plain,
% 0.88/0.97 (~P2(f40(x4471),x4471)),
% 0.88/0.97 inference(rename_variables,[],[109])).
% 0.88/0.97 cnf(454,plain,
% 0.88/0.97 (E(f27(f42(x4541,x4542)),x4542)),
% 0.88/0.97 inference(rename_variables,[],[73])).
% 0.88/0.97 cnf(465,plain,
% 0.88/0.97 (~P2(f40(x4651),x4651)),
% 0.88/0.97 inference(rename_variables,[],[109])).
% 0.88/0.97 cnf(472,plain,
% 0.88/0.97 (~E(f23(a13),f40(f25(a37,f23(a6))))),
% 0.88/0.97 inference(scs_inference,[],[85,77,64,73,454,89,67,99,101,100,109,447,465,58,410,296,371,298,223,147,140,119,133,40,128,122,15,41,3,43,42,2,44,45,441])).
% 0.88/0.97 cnf(517,plain,
% 0.88/0.97 (~P2(f40(f25(a37,f23(a6))),f23(a13))),
% 0.88/0.97 inference(scs_inference,[],[86,180,74,109,100,472,446,432,403,139,28,147,140,119,133])).
% 0.88/0.97 cnf(602,plain,
% 0.88/0.97 ($false),
% 0.88/0.97 inference(scs_inference,[],[105,75,180,78,77,341,517,141,134,147,140,119]),
% 0.88/0.97 ['proof']).
% 0.88/0.97 % SZS output end Proof
% 0.88/0.97 % Total time :0.310000s
%------------------------------------------------------------------------------