TSTP Solution File: KLE005+1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : KLE005+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 : 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 : Thu Aug 31 05:24:55 EDT 2023
% Result : Theorem 0.54s 0.76s
% Output : CNFRefutation 0.55s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.10 % Problem : KLE005+1 : TPTP v8.1.2. Released v4.0.0.
% 0.01/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.10/0.32 % Computer : n009.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue Aug 29 11:04:50 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.16/0.55 start to proof:theBenchmark
% 0.54/0.75 %-------------------------------------------
% 0.54/0.75 % File :CSE---1.6
% 0.54/0.75 % Problem :theBenchmark
% 0.54/0.75 % Transform :cnf
% 0.54/0.75 % Format :tptp:raw
% 0.54/0.75 % Command :java -jar mcs_scs.jar %d %s
% 0.54/0.75
% 0.54/0.75 % Result :Theorem 0.150000s
% 0.54/0.75 % Output :CNFRefutation 0.150000s
% 0.54/0.75 %-------------------------------------------
% 0.54/0.76 %------------------------------------------------------------------------------
% 0.54/0.76 % File : KLE005+1 : TPTP v8.1.2. Released v4.0.0.
% 0.54/0.76 % Domain : Kleene Algebra (Idempotent Test Semirings)
% 0.54/0.76 % Problem : Complement - 0 is the complement of 1
% 0.54/0.76 % Version : [Hoe08] axioms.
% 0.54/0.76 % English :
% 0.54/0.76
% 0.54/0.76 % Refs : [Hoe08] Hoefner (2008), Email to G. Sutcliffe
% 0.54/0.76 % Source : [Hoe08]
% 0.54/0.76 % Names :
% 0.54/0.76
% 0.54/0.76 % Status : Theorem
% 0.54/0.76 % Rating : 0.06 v8.1.0, 0.03 v7.1.0, 0.04 v7.0.0, 0.03 v6.4.0, 0.08 v6.2.0, 0.12 v6.1.0, 0.17 v6.0.0, 0.13 v5.5.0, 0.07 v5.3.0, 0.15 v5.2.0, 0.10 v5.0.0, 0.08 v4.1.0, 0.04 v4.0.0
% 0.54/0.76 % Syntax : Number of formulae : 17 ( 12 unt; 0 def)
% 0.54/0.76 % Number of atoms : 25 ( 18 equ)
% 0.54/0.76 % Maximal formula atoms : 4 ( 1 avg)
% 0.54/0.76 % Number of connectives : 9 ( 1 ~; 0 |; 2 &)
% 0.54/0.76 % ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% 0.54/0.76 % Maximal formula depth : 6 ( 3 avg)
% 0.54/0.76 % Maximal term depth : 3 ( 1 avg)
% 0.54/0.76 % Number of predicates : 4 ( 3 usr; 0 prp; 1-2 aty)
% 0.54/0.76 % Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% 0.54/0.76 % Number of variables : 29 ( 28 !; 1 ?)
% 0.54/0.76 % SPC : FOF_THM_RFO_SEQ
% 0.54/0.76
% 0.54/0.76 % Comments : Equational encoding
% 0.54/0.76 %------------------------------------------------------------------------------
% 0.54/0.76 %---Include axioms for idempotent test semiring
% 0.54/0.76 include('Axioms/KLE001+0.ax').
% 0.54/0.76 %---Include test axioms
% 0.54/0.76 include('Axioms/KLE001+1.ax').
% 0.54/0.76 %------------------------------------------------------------------------------
% 0.54/0.76 fof(goals,conjecture,
% 0.54/0.76 c(one) = zero ).
% 0.54/0.76
% 0.54/0.76 %------------------------------------------------------------------------------
% 0.54/0.76 %-------------------------------------------
% 0.54/0.76 % Proof found
% 0.54/0.76 % SZS status Theorem for theBenchmark
% 0.54/0.76 % SZS output start Proof
% 0.54/0.76 %ClaNum:37(EqnAxiom:14)
% 0.54/0.76 %VarNum:89(SingletonVarNum:40)
% 0.54/0.76 %MaxLitNum:4
% 0.54/0.76 %MaxfuncDepth:2
% 0.54/0.76 %SharedTerms:4
% 0.54/0.76 %goalClause: 26
% 0.54/0.76 %singleGoalClaCount:1
% 0.54/0.76 [26]~E(f4(a6),a1)
% 0.54/0.76 [15]E(f2(x151,a1),a1)
% 0.54/0.76 [16]E(f2(a1,x161),a1)
% 0.54/0.76 [17]E(f3(x171,a1),x171)
% 0.54/0.76 [18]E(f2(x181,a6),x181)
% 0.54/0.76 [19]E(f2(a6,x191),x191)
% 0.54/0.76 [20]E(f3(x201,x201),x201)
% 0.54/0.76 [21]E(f3(x211,x212),f3(x212,x211))
% 0.54/0.76 [22]E(f3(f3(x221,x222),x223),f3(x221,f3(x222,x223)))
% 0.54/0.76 [23]E(f2(f2(x231,x232),x233),f2(x231,f2(x232,x233)))
% 0.54/0.76 [24]E(f3(f2(x241,x242),f2(x241,x243)),f2(x241,f3(x242,x243)))
% 0.54/0.76 [25]E(f3(f2(x251,x252),f2(x253,x252)),f2(f3(x251,x253),x252))
% 0.54/0.76 [27]P1(x271)+E(f4(x271),a1)
% 0.54/0.76 [29]~P1(x291)+P2(f5(x291),x291)
% 0.54/0.76 [28]P1(x281)+~P2(x282,x281)
% 0.54/0.76 [32]~P2(x322,x321)+E(f3(x321,x322),a6)
% 0.54/0.76 [33]~P2(x332,x331)+E(f2(x331,x332),a1)
% 0.54/0.76 [34]~P2(x341,x342)+E(f2(x341,x342),a1)
% 0.54/0.76 [35]~P3(x351,x352)+E(f3(x351,x352),x352)
% 0.54/0.76 [36]P3(x361,x362)+~E(f3(x361,x362),x362)
% 0.54/0.76 [30]~P1(x301)+P2(x301,x302)+~E(f4(x301),x302)
% 0.54/0.76 [31]~P1(x311)+~P2(x311,x312)+E(f4(x311),x312)
% 0.54/0.76 [37]P2(x371,x372)+~E(f3(x372,x371),a6)+~E(f2(x371,x372),a1)+~E(f2(x372,x371),a1)
% 0.54/0.76 %EqnAxiom
% 0.54/0.76 [1]E(x11,x11)
% 0.54/0.76 [2]E(x22,x21)+~E(x21,x22)
% 0.54/0.76 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.54/0.76 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 0.54/0.76 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 0.54/0.76 [6]~E(x61,x62)+E(f3(x61,x63),f3(x62,x63))
% 0.54/0.76 [7]~E(x71,x72)+E(f3(x73,x71),f3(x73,x72))
% 0.54/0.76 [8]~E(x81,x82)+E(f4(x81),f4(x82))
% 0.54/0.76 [9]~E(x91,x92)+E(f5(x91),f5(x92))
% 0.54/0.76 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 0.54/0.76 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 0.54/0.76 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 0.54/0.76 [13]P3(x132,x133)+~E(x131,x132)+~P3(x131,x133)
% 0.54/0.76 [14]P3(x143,x142)+~E(x141,x142)+~P3(x143,x141)
% 0.54/0.76
% 0.54/0.76 %-------------------------------------------
% 0.54/0.77 cnf(38,plain,
% 0.54/0.77 (E(x381,f3(x381,x381))),
% 0.54/0.77 inference(scs_inference,[],[20,2])).
% 0.54/0.77 cnf(39,plain,
% 0.54/0.77 (P1(a6)),
% 0.54/0.77 inference(scs_inference,[],[26,20,2,27])).
% 0.54/0.77 cnf(41,plain,
% 0.54/0.77 (P3(x411,x411)),
% 0.54/0.77 inference(scs_inference,[],[26,20,2,27,36])).
% 0.54/0.77 cnf(43,plain,
% 0.54/0.77 (P3(f3(x431,a1),x431)),
% 0.54/0.77 inference(scs_inference,[],[26,20,17,2,27,36,14])).
% 0.55/0.77 cnf(44,plain,
% 0.55/0.77 (P3(x441,f3(x441,a1))),
% 0.55/0.77 inference(scs_inference,[],[26,20,17,2,27,36,14,13])).
% 0.55/0.77 cnf(46,plain,
% 0.55/0.77 (E(f3(x461,x461),x461)),
% 0.55/0.77 inference(rename_variables,[],[20])).
% 0.55/0.77 cnf(47,plain,
% 0.55/0.77 (E(f2(x471,a6),x471)),
% 0.55/0.77 inference(rename_variables,[],[18])).
% 0.55/0.77 cnf(48,plain,
% 0.55/0.77 (~P2(a6,a1)),
% 0.55/0.77 inference(scs_inference,[],[26,20,17,18,2,27,36,14,13,3,31])).
% 0.55/0.77 cnf(51,plain,
% 0.55/0.77 (E(f3(x511,a1),x511)),
% 0.55/0.77 inference(rename_variables,[],[17])).
% 0.55/0.77 cnf(58,plain,
% 0.55/0.77 (E(f4(f3(x581,x581)),f4(x581))),
% 0.55/0.77 inference(scs_inference,[],[26,20,46,17,18,47,19,2,27,36,14,13,3,31,37,29,9,8])).
% 0.55/0.77 cnf(59,plain,
% 0.55/0.77 (E(f3(x591,f3(x592,x592)),f3(x591,x592))),
% 0.55/0.77 inference(scs_inference,[],[26,20,46,17,18,47,19,2,27,36,14,13,3,31,37,29,9,8,7])).
% 0.55/0.77 cnf(71,plain,
% 0.55/0.77 (~P2(a6,f3(a1,a1))),
% 0.55/0.77 inference(scs_inference,[],[26,20,46,17,18,47,19,2,27,36,14,13,3,31,37,29,9,8,7,6,5,4,35,34,33,32,12])).
% 0.55/0.77 cnf(72,plain,
% 0.55/0.77 (~P2(f3(a6,a1),a1)),
% 0.55/0.77 inference(scs_inference,[],[26,20,46,17,51,18,47,19,2,27,36,14,13,3,31,37,29,9,8,7,6,5,4,35,34,33,32,12,11])).
% 0.55/0.77 cnf(73,plain,
% 0.55/0.77 (~E(a6,x731)+P1(x731)),
% 0.55/0.77 inference(scs_inference,[],[26,20,46,17,51,18,47,19,2,27,36,14,13,3,31,37,29,9,8,7,6,5,4,35,34,33,32,12,11,10])).
% 0.55/0.77 cnf(77,plain,
% 0.55/0.77 (P1(f3(a6,a6))),
% 0.55/0.77 inference(scs_inference,[],[38,73])).
% 0.55/0.77 cnf(78,plain,
% 0.55/0.77 (E(x781,f3(x781,x781))),
% 0.55/0.77 inference(rename_variables,[],[38])).
% 0.55/0.77 cnf(79,plain,
% 0.55/0.77 (~E(f3(a1,a6),a6)),
% 0.55/0.77 inference(scs_inference,[],[16,19,38,48,73,37])).
% 0.55/0.77 cnf(83,plain,
% 0.55/0.77 (P2(a6,f3(f4(a6),f4(a6)))),
% 0.55/0.77 inference(scs_inference,[],[16,19,38,78,48,39,73,37,30])).
% 0.55/0.77 cnf(84,plain,
% 0.55/0.77 (E(x841,f3(x841,x841))),
% 0.55/0.77 inference(rename_variables,[],[38])).
% 0.55/0.77 cnf(87,plain,
% 0.55/0.77 (~P2(a6,f2(x871,a1))),
% 0.55/0.77 inference(scs_inference,[],[26,15,16,19,38,78,48,39,73,37,30,2,12])).
% 0.55/0.77 cnf(88,plain,
% 0.55/0.77 (~P2(f3(a1,a6),a1)),
% 0.55/0.77 inference(scs_inference,[],[26,15,16,21,19,38,78,48,72,39,73,37,30,2,12,11])).
% 0.55/0.77 cnf(92,plain,
% 0.55/0.77 (~P3(a1,a6)),
% 0.55/0.77 inference(scs_inference,[],[26,15,16,21,19,38,78,84,48,72,39,73,37,30,2,12,11,3,35])).
% 0.55/0.77 cnf(94,plain,
% 0.55/0.77 (~P3(f2(x941,a1),a6)),
% 0.55/0.77 inference(scs_inference,[],[26,15,16,21,19,38,78,84,48,72,39,73,37,30,2,12,11,3,35,13])).
% 0.55/0.77 cnf(108,plain,
% 0.55/0.77 (E(f2(x1081,a1),a1)),
% 0.55/0.77 inference(rename_variables,[],[15])).
% 0.55/0.77 cnf(112,plain,
% 0.55/0.77 (P3(x1121,f3(x1121,x1121))),
% 0.55/0.77 inference(scs_inference,[],[15,16,59,43,87,88,39,35,37,30,36])).
% 0.55/0.77 cnf(115,plain,
% 0.55/0.77 (~E(f3(a6,a1),f2(x1151,a1))),
% 0.55/0.77 inference(scs_inference,[],[15,16,59,43,87,88,94,39,35,37,30,36,13])).
% 0.55/0.77 cnf(121,plain,
% 0.55/0.77 (P2(f3(a6,a6),f3(f4(a6),f4(a6)))),
% 0.55/0.77 inference(scs_inference,[],[15,108,38,16,59,43,44,83,87,88,94,39,35,37,30,36,13,12,2,14,11])).
% 0.55/0.77 cnf(122,plain,
% 0.55/0.77 (E(x1221,f3(x1221,x1221))),
% 0.55/0.77 inference(rename_variables,[],[38])).
% 0.55/0.77 cnf(125,plain,
% 0.55/0.77 (~P2(a1,f2(x1251,a1))),
% 0.55/0.77 inference(scs_inference,[],[15,108,38,122,16,59,43,44,83,87,88,94,39,35,37,30,36,13,12,2,14,11,3,32])).
% 0.55/0.77 cnf(133,plain,
% 0.55/0.77 (E(f2(x1331,a1),a1)),
% 0.55/0.77 inference(rename_variables,[],[15])).
% 0.55/0.77 cnf(137,plain,
% 0.55/0.77 (P3(a1,f3(f2(x1371,a1),f2(x1371,a1)))),
% 0.55/0.77 inference(scs_inference,[],[15,133,16,112,121,72,94,32,37,36,13])).
% 0.55/0.77 cnf(138,plain,
% 0.55/0.77 (P3(x1381,f3(x1381,x1381))),
% 0.55/0.77 inference(rename_variables,[],[112])).
% 0.55/0.77 cnf(139,plain,
% 0.55/0.77 (P3(f3(x1391,x1392),f3(x1391,f3(x1392,f3(x1391,x1392))))),
% 0.55/0.77 inference(scs_inference,[],[15,133,22,16,112,138,121,72,94,32,37,36,13,14])).
% 0.55/0.77 cnf(140,plain,
% 0.55/0.77 (~P2(a6,f2(f3(a1,a1),a6))),
% 0.55/0.77 inference(scs_inference,[],[15,133,22,18,16,112,138,121,71,72,94,32,37,36,13,14,12])).
% 0.55/0.77 cnf(141,plain,
% 0.55/0.77 (E(f2(x1411,a6),x1411)),
% 0.55/0.77 inference(rename_variables,[],[18])).
% 0.55/0.77 cnf(142,plain,
% 0.55/0.77 (~E(f3(a6,a1),f3(f2(x1421,a1),f2(x1422,a1)))),
% 0.55/0.77 inference(scs_inference,[],[15,133,22,25,18,16,112,138,115,121,71,72,94,32,37,36,13,14,12,3])).
% 0.55/0.77 cnf(148,plain,
% 0.55/0.77 (P2(f3(a6,a6),f4(a6))),
% 0.55/0.77 inference(scs_inference,[],[15,133,22,25,18,141,16,58,112,138,79,115,121,71,77,72,94,32,37,36,13,14,12,3,2,11,30])).
% 0.55/0.77 cnf(155,plain,
% 0.55/0.77 (P3(f2(a1,x1551),a1)),
% 0.55/0.77 inference(scs_inference,[],[16,39,140,41,30,14])).
% 0.55/0.77 cnf(157,plain,
% 0.55/0.77 (~P3(f2(a1,x1571),a6)),
% 0.55/0.77 inference(scs_inference,[],[16,39,92,140,41,30,14,13])).
% 0.55/0.77 cnf(159,plain,
% 0.55/0.77 (~P2(f3(a1,a6),f2(a1,x1591))),
% 0.55/0.77 inference(scs_inference,[],[16,39,92,140,41,88,30,14,13,2,12])).
% 0.55/0.77 cnf(160,plain,
% 0.55/0.77 (~E(f3(a1,a6),f3(f2(x1601,a1),f2(x1602,a1)))),
% 0.55/0.77 inference(scs_inference,[],[16,21,39,142,92,140,41,88,30,14,13,2,12,3])).
% 0.55/0.77 cnf(162,plain,
% 0.55/0.77 (~P2(f2(a1,x1621),f2(x1622,a1))),
% 0.55/0.77 inference(scs_inference,[],[16,21,39,142,92,125,140,41,88,30,14,13,2,12,3,11])).
% 0.55/0.77 cnf(170,plain,
% 0.55/0.77 (P2(f5(f3(a6,a6)),f3(a6,a6))),
% 0.55/0.77 inference(scs_inference,[],[16,21,39,142,92,148,125,140,41,88,77,30,14,13,2,12,3,11,34,33,9,6,4,29])).
% 0.55/0.77 cnf(183,plain,
% 0.55/0.77 (E(x1831,f3(x1831,x1831))),
% 0.55/0.77 inference(rename_variables,[],[38])).
% 0.55/0.77 cnf(186,plain,
% 0.55/0.77 (~E(f3(f2(a1,x1861),a6),a6)),
% 0.55/0.77 inference(scs_inference,[],[38,155,157,77,10,35,36])).
% 0.55/0.77 cnf(191,plain,
% 0.55/0.77 (~P3(f2(a1,x1911),a6)),
% 0.55/0.77 inference(rename_variables,[],[157])).
% 0.55/0.77 cnf(196,plain,
% 0.55/0.77 (~E(f3(f2(x1961,a1),f2(x1962,a1)),f3(a1,a6))),
% 0.55/0.77 inference(scs_inference,[],[38,183,160,170,155,157,191,41,77,10,35,36,32,14,13,12,2])).
% 0.55/0.77 cnf(208,plain,
% 0.55/0.77 (~P2(a6,f2(a1,x2081))),
% 0.55/0.77 inference(scs_inference,[],[186,32])).
% 0.55/0.77 cnf(213,plain,
% 0.55/0.77 (E(x2131,f3(x2131,a1))),
% 0.55/0.77 inference(scs_inference,[],[17,24,137,186,32,14,2])).
% 0.55/0.77 cnf(216,plain,
% 0.55/0.77 (~P2(f3(a1,a6),f3(f2(a1,x2161),a1))),
% 0.55/0.77 inference(scs_inference,[],[17,24,139,159,137,186,32,14,2,13,12])).
% 0.55/0.77 cnf(217,plain,
% 0.55/0.77 (E(f3(x2171,a1),x2171)),
% 0.55/0.77 inference(rename_variables,[],[17])).
% 0.55/0.77 cnf(218,plain,
% 0.55/0.77 (~P2(f3(f3(a1,a6),a1),f2(a1,x2181))),
% 0.55/0.77 inference(scs_inference,[],[17,217,24,139,159,137,186,32,14,2,13,12,11])).
% 0.55/0.77 cnf(219,plain,
% 0.55/0.77 (E(f3(x2191,a1),x2191)),
% 0.55/0.77 inference(rename_variables,[],[17])).
% 0.55/0.77 cnf(220,plain,
% 0.55/0.77 (~E(f3(f2(x2201,a1),f2(x2202,a1)),f3(f3(a1,a6),a1))),
% 0.55/0.77 inference(scs_inference,[],[17,217,219,24,139,196,159,137,186,32,14,2,13,12,11,3])).
% 0.55/0.77 cnf(230,plain,
% 0.55/0.77 (P2(a6,f3(f4(a6),a1))),
% 0.55/0.77 inference(scs_inference,[],[39,213,30])).
% 0.55/0.77 cnf(231,plain,
% 0.55/0.77 (E(x2311,f3(x2311,a1))),
% 0.55/0.77 inference(rename_variables,[],[213])).
% 0.55/0.77 cnf(236,plain,
% 0.55/0.77 (E(f3(x2361,a1),x2361)),
% 0.55/0.77 inference(rename_variables,[],[17])).
% 0.55/0.77 cnf(237,plain,
% 0.55/0.77 (~P3(a1,f3(a6,a1))),
% 0.55/0.77 inference(scs_inference,[],[17,236,39,213,92,83,30,32,12,14])).
% 0.55/0.77 cnf(238,plain,
% 0.55/0.77 (E(f3(x2381,a1),x2381)),
% 0.55/0.77 inference(rename_variables,[],[17])).
% 0.55/0.77 cnf(241,plain,
% 0.55/0.77 (E(f3(x2411,a1),x2411)),
% 0.55/0.77 inference(rename_variables,[],[17])).
% 0.55/0.77 cnf(247,plain,
% 0.55/0.77 (P1(f3(a6,a1))),
% 0.55/0.77 inference(scs_inference,[],[17,236,238,241,24,39,213,231,220,216,92,83,30,32,12,14,2,13,11,3,73])).
% 0.55/0.77 cnf(256,plain,
% 0.55/0.77 (~E(f3(a1,f3(a6,a1)),f3(a6,a1))),
% 0.55/0.77 inference(scs_inference,[],[237,36])).
% 0.55/0.77 cnf(269,plain,
% 0.55/0.77 (P2(f3(a6,a6),f3(f4(a6),a1))),
% 0.55/0.77 inference(scs_inference,[],[18,23,43,19,41,38,39,237,208,230,36,30,2,12,14,13,3,11])).
% 0.55/0.77 cnf(283,plain,
% 0.55/0.77 (~P3(f3(a6,a1),a1)),
% 0.55/0.77 inference(scs_inference,[],[18,23,43,19,41,38,39,247,237,208,230,36,30,2,12,14,13,3,11,34,33,29,9,7,6,5,4,8,35])).
% 0.55/0.77 cnf(291,plain,
% 0.55/0.77 (P3(f3(x2911,a1),x2911)),
% 0.55/0.77 inference(rename_variables,[],[43])).
% 0.55/0.77 cnf(292,plain,
% 0.55/0.77 (~E(f3(a6,a1),f3(a1,f3(a6,a1)))),
% 0.55/0.77 inference(scs_inference,[],[18,43,256,14,2])).
% 0.55/0.77 cnf(293,plain,
% 0.55/0.77 (~P2(f2(a1,x2931),f2(f2(x2932,a1),a6))),
% 0.55/0.77 inference(scs_inference,[],[18,43,256,162,14,2,12])).
% 0.55/0.77 cnf(294,plain,
% 0.55/0.77 (E(f2(x2941,a6),x2941)),
% 0.55/0.77 inference(rename_variables,[],[18])).
% 0.55/0.77 cnf(296,plain,
% 0.55/0.77 (E(f2(x2961,a6),x2961)),
% 0.55/0.77 inference(rename_variables,[],[18])).
% 0.55/0.77 cnf(302,plain,
% 0.55/0.77 (P1(f3(f4(a6),a1))),
% 0.55/0.77 inference(scs_inference,[],[18,294,296,22,43,291,256,269,162,14,2,12,11,13,3,28])).
% 0.55/0.77 cnf(312,plain,
% 0.55/0.77 (E(f3(x3121,x3122),f3(x3122,x3121))),
% 0.55/0.77 inference(rename_variables,[],[21])).
% 0.55/0.77 cnf(316,plain,
% 0.55/0.77 (E(f2(a6,x3161),x3161)),
% 0.55/0.77 inference(rename_variables,[],[19])).
% 0.55/0.77 cnf(321,plain,
% 0.55/0.77 (E(f2(f2(x3211,x3212),x3213),f2(x3211,f2(x3212,x3213)))),
% 0.55/0.77 inference(rename_variables,[],[23])).
% 0.55/0.77 cnf(328,plain,
% 0.55/0.77 ($false),
% 0.55/0.77 inference(scs_inference,[],[19,316,23,321,21,312,292,218,293,302,283,213,269,77,10,31,14,2,13,12,11,3,7]),
% 0.55/0.77 ['proof']).
% 0.55/0.77 % SZS output end Proof
% 0.55/0.77 % Total time :0.150000s
%------------------------------------------------------------------------------