TSTP Solution File: SEU149+3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SEU149+3 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n001.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 16:17:53 EDT 2023
% Result : Theorem 9.43s 9.50s
% Output : CNFRefutation 9.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : SEU149+3 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.15 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.15/0.37 % Computer : n001.cluster.edu
% 0.15/0.37 % Model : x86_64 x86_64
% 0.15/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.37 % Memory : 8042.1875MB
% 0.15/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.37 % CPULimit : 300
% 0.15/0.37 % WCLimit : 300
% 0.15/0.37 % DateTime : Wed Aug 23 22:34:10 EDT 2023
% 0.15/0.37 % CPUTime :
% 0.22/0.58 start to proof:theBenchmark
% 9.43/9.49 %-------------------------------------------
% 9.43/9.49 % File :CSE---1.6
% 9.43/9.49 % Problem :theBenchmark
% 9.43/9.49 % Transform :cnf
% 9.43/9.49 % Format :tptp:raw
% 9.43/9.49 % Command :java -jar mcs_scs.jar %d %s
% 9.43/9.49
% 9.43/9.49 % Result :Theorem 8.850000s
% 9.43/9.49 % Output :CNFRefutation 8.850000s
% 9.43/9.49 %-------------------------------------------
% 9.43/9.50 %------------------------------------------------------------------------------
% 9.43/9.50 % File : SEU149+3 : TPTP v8.1.2. Released v3.2.0.
% 9.43/9.50 % Domain : Set theory
% 9.43/9.50 % Problem : Basic properties of sets, theorem 8
% 9.43/9.50 % Version : [Urb06] axioms : Especial.
% 9.43/9.50 % English :
% 9.43/9.50
% 9.43/9.50 % Refs : [Byl90] Bylinski (1990), Some Basic Properties of Sets
% 9.43/9.50 % : [Urb06] Urban (2006), Email to G. Sutcliffe
% 9.43/9.50 % Source : [Urb06]
% 9.43/9.50 % Names : zfmisc_1__t8_zfmisc_1 [Urb06]
% 9.43/9.50
% 9.43/9.50 % Status : Theorem
% 9.43/9.50 % Rating : 0.14 v7.5.0, 0.16 v7.4.0, 0.07 v7.1.0, 0.09 v7.0.0, 0.07 v6.4.0, 0.12 v6.3.0, 0.08 v6.2.0, 0.24 v6.1.0, 0.30 v5.5.0, 0.26 v5.4.0, 0.25 v5.3.0, 0.26 v5.2.0, 0.05 v5.0.0, 0.17 v4.1.0, 0.13 v4.0.1, 0.17 v3.7.0, 0.10 v3.5.0, 0.11 v3.4.0, 0.16 v3.3.0, 0.14 v3.2.0
% 9.43/9.50 % Syntax : Number of formulae : 7 ( 3 unt; 0 def)
% 9.43/9.50 % Number of atoms : 14 ( 8 equ)
% 9.43/9.50 % Maximal formula atoms : 4 ( 2 avg)
% 9.43/9.50 % Number of connectives : 9 ( 2 ~; 1 |; 0 &)
% 9.43/9.50 % ( 4 <=>; 2 =>; 0 <=; 0 <~>)
% 9.43/9.50 % Maximal formula depth : 8 ( 5 avg)
% 9.43/9.50 % Maximal term depth : 2 ( 1 avg)
% 9.43/9.50 % Number of predicates : 3 ( 2 usr; 0 prp; 1-2 aty)
% 9.43/9.50 % Number of functors : 2 ( 2 usr; 0 con; 1-2 aty)
% 9.43/9.50 % Number of variables : 16 ( 14 !; 2 ?)
% 9.43/9.50 % SPC : FOF_THM_RFO_SEQ
% 9.43/9.50
% 9.43/9.50 % Comments : Translated by MPTP 0.2 from the original problem in the Mizar
% 9.43/9.50 % library, www.mizar.org
% 9.43/9.50 %------------------------------------------------------------------------------
% 9.43/9.50 fof(antisymmetry_r2_hidden,axiom,
% 9.43/9.50 ! [A,B] :
% 9.43/9.50 ( in(A,B)
% 9.43/9.50 => ~ in(B,A) ) ).
% 9.43/9.50
% 9.43/9.50 fof(commutativity_k2_tarski,axiom,
% 9.43/9.50 ! [A,B] : unordered_pair(A,B) = unordered_pair(B,A) ).
% 9.43/9.50
% 9.43/9.50 fof(d1_tarski,axiom,
% 9.43/9.50 ! [A,B] :
% 9.43/9.50 ( B = singleton(A)
% 9.43/9.50 <=> ! [C] :
% 9.43/9.50 ( in(C,B)
% 9.43/9.50 <=> C = A ) ) ).
% 9.43/9.50
% 9.43/9.50 fof(d2_tarski,axiom,
% 9.43/9.50 ! [A,B,C] :
% 9.43/9.50 ( C = unordered_pair(A,B)
% 9.43/9.50 <=> ! [D] :
% 9.43/9.50 ( in(D,C)
% 9.43/9.50 <=> ( D = A
% 9.43/9.50 | D = B ) ) ) ).
% 9.43/9.50
% 9.43/9.50 fof(rc1_xboole_0,axiom,
% 9.43/9.50 ? [A] : empty(A) ).
% 9.43/9.50
% 9.43/9.50 fof(rc2_xboole_0,axiom,
% 9.43/9.50 ? [A] : ~ empty(A) ).
% 9.43/9.50
% 9.43/9.50 fof(t8_zfmisc_1,conjecture,
% 9.43/9.50 ! [A,B,C] :
% 9.43/9.50 ( singleton(A) = unordered_pair(B,C)
% 9.43/9.50 => A = B ) ).
% 9.43/9.50
% 9.43/9.50 %------------------------------------------------------------------------------
% 9.43/9.50 %-------------------------------------------
% 9.43/9.50 % Proof found
% 9.43/9.50 % SZS status Theorem for theBenchmark
% 9.43/9.50 % SZS output start Proof
% 9.43/9.51 %ClaNum:30(EqnAxiom:14)
% 9.43/9.51 %VarNum:96(SingletonVarNum:35)
% 9.43/9.51 %MaxLitNum:4
% 9.43/9.51 %MaxfuncDepth:1
% 9.43/9.51 %SharedTerms:11
% 9.43/9.51 %goalClause: 16 18
% 9.43/9.51 %singleGoalClaCount:2
% 9.43/9.51 [15]P1(a1)
% 9.43/9.51 [18]~E(a4,a5)
% 9.43/9.51 [19]~P1(a6)
% 9.43/9.51 [16]E(f8(a4,a7),f9(a5))
% 9.43/9.51 [17]E(f8(x171,x172),f8(x172,x171))
% 9.43/9.51 [24]~P2(x242,x241)+~P2(x241,x242)
% 9.43/9.51 [26]E(f2(x262,x261),x262)+P2(f2(x262,x261),x261)+E(x261,f9(x262))
% 9.43/9.51 [27]~E(f2(x272,x271),x272)+~P2(f2(x272,x271),x271)+E(x271,f9(x272))
% 9.43/9.51 [20]P2(x201,x202)+~E(x201,x203)+~E(x202,f9(x203))
% 9.43/9.51 [21]~P2(x211,x213)+E(x211,x212)+~E(x213,f9(x212))
% 9.43/9.51 [29]~E(f3(x292,x293,x291),x293)+~P2(f3(x292,x293,x291),x291)+E(x291,f8(x292,x293))
% 9.43/9.51 [30]~E(f3(x302,x303,x301),x302)+~P2(f3(x302,x303,x301),x301)+E(x301,f8(x302,x303))
% 9.43/9.51 [22]P2(x221,x222)+~E(x221,x223)+~E(x222,f8(x224,x223))
% 9.43/9.51 [23]P2(x231,x232)+~E(x231,x233)+~E(x232,f8(x233,x234))
% 9.43/9.51 [28]E(f3(x282,x283,x281),x283)+E(f3(x282,x283,x281),x282)+P2(f3(x282,x283,x281),x281)+E(x281,f8(x282,x283))
% 9.43/9.51 [25]~P2(x251,x254)+E(x251,x252)+E(x251,x253)+~E(x254,f8(x253,x252))
% 9.43/9.51 %EqnAxiom
% 9.43/9.51 [1]E(x11,x11)
% 9.43/9.51 [2]E(x22,x21)+~E(x21,x22)
% 9.43/9.51 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 9.43/9.51 [4]~E(x41,x42)+E(f8(x41,x43),f8(x42,x43))
% 9.43/9.51 [5]~E(x51,x52)+E(f8(x53,x51),f8(x53,x52))
% 9.43/9.51 [6]~E(x61,x62)+E(f9(x61),f9(x62))
% 9.43/9.51 [7]~E(x71,x72)+E(f3(x71,x73,x74),f3(x72,x73,x74))
% 9.43/9.51 [8]~E(x81,x82)+E(f3(x83,x81,x84),f3(x83,x82,x84))
% 9.43/9.51 [9]~E(x91,x92)+E(f3(x93,x94,x91),f3(x93,x94,x92))
% 9.43/9.51 [10]~E(x101,x102)+E(f2(x101,x103),f2(x102,x103))
% 9.43/9.51 [11]~E(x111,x112)+E(f2(x113,x111),f2(x113,x112))
% 9.43/9.51 [12]~P1(x121)+P1(x122)+~E(x121,x122)
% 9.43/9.51 [13]P2(x132,x133)+~E(x131,x132)+~P2(x131,x133)
% 9.43/9.51 [14]P2(x143,x142)+~E(x141,x142)+~P2(x143,x141)
% 9.43/9.51
% 9.43/9.51 %-------------------------------------------
% 9.43/9.51 cnf(31,plain,
% 9.43/9.51 (E(f9(a5),f8(a4,a7))),
% 9.43/9.51 inference(scs_inference,[],[16,2])).
% 9.43/9.51 cnf(32,plain,
% 9.43/9.51 (E(f8(a7,a4),f9(a5))),
% 9.43/9.51 inference(scs_inference,[],[16,17,2,3])).
% 9.43/9.51 cnf(33,plain,
% 9.43/9.51 (E(f8(x331,x332),f8(x332,x331))),
% 9.43/9.51 inference(rename_variables,[],[17])).
% 9.43/9.51 cnf(34,plain,
% 9.43/9.51 (P2(f8(a4,a7),f8(x341,f9(a5)))),
% 9.43/9.51 inference(scs_inference,[],[16,17,33,2,3,23])).
% 9.43/9.51 cnf(35,plain,
% 9.43/9.51 (E(f8(x351,x352),f8(x352,x351))),
% 9.43/9.51 inference(rename_variables,[],[17])).
% 9.43/9.51 cnf(37,plain,
% 9.43/9.51 (P2(f8(a4,a7),f8(f9(a5),x371))),
% 9.43/9.51 inference(scs_inference,[],[16,17,33,35,2,3,23,22])).
% 9.43/9.51 cnf(38,plain,
% 9.43/9.51 (E(f8(x381,x382),f8(x382,x381))),
% 9.43/9.51 inference(rename_variables,[],[17])).
% 9.43/9.51 cnf(40,plain,
% 9.43/9.51 (~P2(a4,f8(a4,a7))),
% 9.43/9.51 inference(scs_inference,[],[16,18,17,33,35,2,3,23,22,21])).
% 9.43/9.51 cnf(42,plain,
% 9.43/9.51 (~P2(f8(x421,f9(a5)),f8(a4,a7))),
% 9.43/9.51 inference(scs_inference,[],[16,18,17,33,35,2,3,23,22,21,24])).
% 9.43/9.51 cnf(44,plain,
% 9.43/9.51 (~P2(a4,f8(a7,a4))),
% 9.43/9.51 inference(scs_inference,[],[16,18,17,33,35,38,2,3,23,22,21,24,14])).
% 9.43/9.51 cnf(47,plain,
% 9.43/9.51 (~E(a1,a6)),
% 9.43/9.51 inference(scs_inference,[],[16,18,15,19,17,33,35,38,2,3,23,22,21,24,14,13,12])).
% 9.43/9.51 cnf(54,plain,
% 9.43/9.51 (~P2(f8(f9(a5),x541),f8(a4,a7))),
% 9.43/9.51 inference(scs_inference,[],[37,24])).
% 9.43/9.51 cnf(56,plain,
% 9.43/9.51 (~E(a4,a7)),
% 9.43/9.51 inference(scs_inference,[],[17,37,40,24,23])).
% 9.43/9.51 cnf(57,plain,
% 9.43/9.51 (E(f8(x571,x572),f8(x572,x571))),
% 9.43/9.51 inference(rename_variables,[],[17])).
% 9.43/9.51 cnf(60,plain,
% 9.43/9.51 (E(f8(x601,x602),f8(x602,x601))),
% 9.43/9.51 inference(rename_variables,[],[17])).
% 9.43/9.51 cnf(61,plain,
% 9.43/9.51 (~P2(a4,f8(a5,a5))),
% 9.43/9.51 inference(scs_inference,[],[17,57,60,18,37,40,24,23,22,25])).
% 9.43/9.51 cnf(64,plain,
% 9.43/9.51 (P2(f9(a5),f8(x641,f9(a5)))),
% 9.43/9.51 inference(scs_inference,[],[16,17,57,60,18,34,37,40,24,23,22,25,13])).
% 9.43/9.51 cnf(65,plain,
% 9.43/9.51 (~P2(f8(x651,f9(a5)),f9(a5))),
% 9.43/9.51 inference(scs_inference,[],[16,17,57,60,18,34,37,42,40,31,24,23,22,25,13,14])).
% 9.43/9.51 cnf(66,plain,
% 9.43/9.51 (~E(a5,a4)),
% 9.43/9.51 inference(scs_inference,[],[16,17,57,60,18,34,37,42,40,31,24,23,22,25,13,14,2])).
% 9.43/9.51 cnf(73,plain,
% 9.43/9.51 (P2(f9(a5),f8(x731,f8(a4,a7)))),
% 9.43/9.51 inference(scs_inference,[],[31,17,23])).
% 9.43/9.51 cnf(74,plain,
% 9.43/9.51 (E(f8(x741,x742),f8(x742,x741))),
% 9.43/9.51 inference(rename_variables,[],[17])).
% 9.43/9.51 cnf(76,plain,
% 9.43/9.51 (P2(f9(a5),f8(f8(a4,a7),x761))),
% 9.43/9.51 inference(scs_inference,[],[31,17,74,23,22])).
% 9.43/9.51 cnf(77,plain,
% 9.43/9.51 (E(f8(x771,x772),f8(x772,x771))),
% 9.43/9.51 inference(rename_variables,[],[17])).
% 9.43/9.51 cnf(79,plain,
% 9.43/9.51 (~P2(f8(x791,f8(a4,a7)),f9(a5))),
% 9.43/9.51 inference(scs_inference,[],[31,17,74,23,22,24])).
% 9.43/9.51 cnf(81,plain,
% 9.43/9.51 (P2(f8(a7,a4),f8(x811,f9(a5)))),
% 9.43/9.51 inference(scs_inference,[],[31,17,74,77,34,23,22,24,13])).
% 9.43/9.51 cnf(82,plain,
% 9.43/9.51 (E(f8(x821,x822),f8(x822,x821))),
% 9.43/9.51 inference(rename_variables,[],[17])).
% 9.43/9.51 cnf(83,plain,
% 9.43/9.51 (P2(f9(a5),f8(f9(a5),x831))),
% 9.43/9.51 inference(scs_inference,[],[31,17,74,77,82,64,34,23,22,24,13,14])).
% 9.43/9.51 cnf(86,plain,
% 9.43/9.51 (E(f9(a5),f8(a7,a4))),
% 9.43/9.51 inference(scs_inference,[],[31,17,74,77,82,64,32,34,23,22,24,13,14,2])).
% 9.43/9.51 cnf(95,plain,
% 9.43/9.51 (~E(f8(x951,f9(a5)),a7)),
% 9.43/9.51 inference(scs_inference,[],[31,65,22])).
% 9.43/9.51 cnf(97,plain,
% 9.43/9.51 (~E(f8(x971,f9(a5)),a4)),
% 9.43/9.51 inference(scs_inference,[],[31,65,22,23])).
% 9.43/9.51 cnf(99,plain,
% 9.43/9.51 (~E(f8(f9(a5),x991),a5)),
% 9.43/9.51 inference(scs_inference,[],[31,54,65,16,22,23,20])).
% 9.43/9.51 cnf(103,plain,
% 9.43/9.51 (~P2(f8(f9(a5),x1031),f8(a7,a4))),
% 9.43/9.52 inference(scs_inference,[],[17,31,81,54,65,16,22,23,20,24,14])).
% 9.43/9.52 cnf(115,plain,
% 9.43/9.52 (E(f8(x1151,x1152),f8(x1152,x1151))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(117,plain,
% 9.43/9.52 (E(f8(x1171,x1172),f8(x1172,x1171))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(118,plain,
% 9.43/9.52 (~P2(f8(f8(a4,a7),x1181),f9(a5))),
% 9.43/9.52 inference(scs_inference,[],[17,115,44,76,40,23,22,24])).
% 9.43/9.52 cnf(120,plain,
% 9.43/9.52 (~P2(f8(x1201,f8(a4,a7)),f8(a7,a4))),
% 9.43/9.52 inference(scs_inference,[],[32,17,115,44,79,76,40,23,22,24,14])).
% 9.43/9.52 cnf(123,plain,
% 9.43/9.52 (~E(f8(x1231,f9(a5)),a7)),
% 9.43/9.52 inference(rename_variables,[],[95])).
% 9.43/9.52 cnf(125,plain,
% 9.43/9.52 (~E(a7,f8(x1251,f9(a5)))),
% 9.43/9.52 inference(scs_inference,[],[32,17,115,117,86,44,79,83,95,123,76,40,23,22,24,14,13,3,2])).
% 9.43/9.52 cnf(130,plain,
% 9.43/9.52 (P2(f9(a5),f8(f8(a7,a4),x1301))),
% 9.43/9.52 inference(scs_inference,[],[17,86,22])).
% 9.43/9.52 cnf(131,plain,
% 9.43/9.52 (E(f8(x1311,x1312),f8(x1312,x1311))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(133,plain,
% 9.43/9.52 (~E(f8(x1331,f8(a4,a7)),a5)),
% 9.43/9.52 inference(scs_inference,[],[32,17,120,86,22,20])).
% 9.43/9.52 cnf(135,plain,
% 9.43/9.52 (~P2(f8(f8(a7,a4),x1351),f9(a5))),
% 9.43/9.52 inference(scs_inference,[],[32,17,120,86,22,20,24])).
% 9.43/9.52 cnf(137,plain,
% 9.43/9.52 (P2(f9(a5),f8(x1371,f8(a7,a4)))),
% 9.43/9.52 inference(scs_inference,[],[32,17,131,120,86,22,20,24,23])).
% 9.43/9.52 cnf(138,plain,
% 9.43/9.52 (E(f8(x1381,x1382),f8(x1382,x1381))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(140,plain,
% 9.43/9.52 (P2(f8(a4,a7),f8(x1401,f8(a4,a7)))),
% 9.43/9.52 inference(scs_inference,[],[32,17,131,31,120,73,86,22,20,24,23,13])).
% 9.43/9.52 cnf(141,plain,
% 9.43/9.52 (P2(f8(a4,a7),f8(f8(a4,a7),x1411))),
% 9.43/9.52 inference(scs_inference,[],[32,17,131,138,31,120,73,86,22,20,24,23,13,14])).
% 9.43/9.52 cnf(143,plain,
% 9.43/9.52 (~P2(f8(x1431,f8(a4,a7)),f8(a5,a5))),
% 9.43/9.52 inference(scs_inference,[],[17,133,25])).
% 9.43/9.52 cnf(144,plain,
% 9.43/9.52 (E(f8(x1441,x1442),f8(x1442,x1441))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(148,plain,
% 9.43/9.52 (~P2(f8(f8(a4,a7),x1481),f8(a4,a7))),
% 9.43/9.52 inference(scs_inference,[],[17,141,133,16,25,21,24])).
% 9.43/9.52 cnf(151,plain,
% 9.43/9.52 (E(f8(x1511,x1512),f8(x1512,x1511))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(153,plain,
% 9.43/9.52 (~E(f8(f8(a7,a4),x1531),a7)),
% 9.43/9.52 inference(scs_inference,[],[17,144,31,141,103,135,133,16,25,21,24,23,22])).
% 9.43/9.52 cnf(155,plain,
% 9.43/9.52 (~P2(f8(x1551,f8(a7,a4)),f9(a5))),
% 9.43/9.52 inference(scs_inference,[],[17,144,151,31,141,103,135,133,16,25,21,24,23,22,13])).
% 9.43/9.52 cnf(156,plain,
% 9.43/9.52 (~P2(f8(f8(a7,a4),x1561),f9(a5))),
% 9.43/9.52 inference(rename_variables,[],[135])).
% 9.43/9.52 cnf(158,plain,
% 9.43/9.52 (~P2(f8(f8(a7,a4),x1581),f8(a7,a4))),
% 9.43/9.52 inference(scs_inference,[],[17,144,151,32,31,141,103,135,156,133,16,25,21,24,23,22,13,14])).
% 9.43/9.52 cnf(159,plain,
% 9.43/9.52 (~E(a4,x1591)+~E(f8(a5,a5),f9(x1591))),
% 9.43/9.52 inference(scs_inference,[],[17,144,151,32,31,141,103,61,135,156,133,16,25,21,24,23,22,13,14,20])).
% 9.43/9.52 cnf(164,plain,
% 9.43/9.52 (~P2(f8(f8(a7,a4),x1641),f8(a7,a7))),
% 9.43/9.52 inference(scs_inference,[],[17,153,25])).
% 9.43/9.52 cnf(165,plain,
% 9.43/9.52 (E(f8(x1651,x1652),f8(x1652,x1651))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(168,plain,
% 9.43/9.52 (E(f8(x1681,x1682),f8(x1682,x1681))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(170,plain,
% 9.43/9.52 (E(f8(x1701,x1702),f8(x1702,x1701))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(171,plain,
% 9.43/9.52 (P2(f8(a4,a7),f8(f8(a7,a4),x1711))),
% 9.43/9.52 inference(scs_inference,[],[17,165,168,31,130,153,44,40,25,23,22,13])).
% 9.43/9.52 cnf(174,plain,
% 9.43/9.52 (~E(f8(f8(a7,a4),x1741),a5)),
% 9.43/9.52 inference(scs_inference,[],[17,165,168,170,32,31,158,155,130,153,44,40,25,23,22,13,14,12,20])).
% 9.43/9.52 cnf(184,plain,
% 9.43/9.52 (~E(f8(f8(a7,a4),x1841),a5)),
% 9.43/9.52 inference(rename_variables,[],[174])).
% 9.43/9.52 cnf(185,plain,
% 9.43/9.52 (E(f8(x1851,x1852),f8(x1852,x1851))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(187,plain,
% 9.43/9.52 (P2(f8(a7,a4),f8(f8(a7,a4),x1871))),
% 9.43/9.52 inference(scs_inference,[],[171,174,184,17,185,3,2,13])).
% 9.43/9.52 cnf(188,plain,
% 9.43/9.52 (E(f8(x1881,x1882),f8(x1882,x1881))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(192,plain,
% 9.43/9.52 (~P2(f8(x1921,f9(a5)),x1922)+~E(x1922,f9(a4))),
% 9.43/9.52 inference(scs_inference,[],[171,174,184,97,17,185,188,3,2,13,14,21])).
% 9.43/9.52 cnf(196,plain,
% 9.43/9.52 (P2(f8(a7,a4),x1961)+~E(x1961,f9(f9(a5)))),
% 9.43/9.52 inference(scs_inference,[],[32,171,174,184,97,17,185,188,3,2,13,14,21,24,20])).
% 9.43/9.52 cnf(198,plain,
% 9.43/9.52 (~P2(f8(x1981,f9(a5)),f9(a4))),
% 9.43/9.52 inference(equality_inference,[],[192])).
% 9.43/9.52 cnf(199,plain,
% 9.43/9.52 (P2(f8(a7,a4),f9(f9(a5)))),
% 9.43/9.52 inference(equality_inference,[],[196])).
% 9.43/9.52 cnf(200,plain,
% 9.43/9.52 (~E(f8(f8(a4,a7),x2001),a5)),
% 9.43/9.52 inference(scs_inference,[],[148,16,20])).
% 9.43/9.52 cnf(202,plain,
% 9.43/9.52 (~P2(f9(f9(a5)),f8(a7,a4))),
% 9.43/9.52 inference(scs_inference,[],[148,199,16,20,24])).
% 9.43/9.52 cnf(207,plain,
% 9.43/9.52 (~P2(f8(f8(a4,a7),x2071),f8(a7,a4))),
% 9.43/9.52 inference(scs_inference,[],[32,148,143,199,118,17,16,20,24,13,14])).
% 9.43/9.52 cnf(209,plain,
% 9.43/9.52 (P2(f8(a7,a4),f8(x2091,f8(a7,a4)))),
% 9.43/9.52 inference(scs_inference,[],[137,86,13])).
% 9.43/9.52 cnf(210,plain,
% 9.43/9.52 (~P2(a4,f9(a5))),
% 9.43/9.52 inference(scs_inference,[],[31,40,137,86,13,14])).
% 9.43/9.52 cnf(217,plain,
% 9.43/9.52 (E(f8(x2171,x2172),f8(x2172,x2171))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(218,plain,
% 9.43/9.52 (P2(f8(a7,a4),f8(x2181,f8(a4,a7)))),
% 9.43/9.52 inference(scs_inference,[],[40,140,17,217,22,13])).
% 9.43/9.52 cnf(219,plain,
% 9.43/9.52 (E(f8(x2191,x2192),f8(x2192,x2191))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(222,plain,
% 9.43/9.52 (~E(f8(f8(a4,a7),x2221),a4)),
% 9.43/9.52 inference(scs_inference,[],[37,40,207,140,17,217,219,22,13,21,23])).
% 9.43/9.52 cnf(247,plain,
% 9.43/9.52 (E(f8(x2471,x2472),f8(x2472,x2471))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(250,plain,
% 9.43/9.52 (E(f8(x2501,x2502),f8(x2502,x2501))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(252,plain,
% 9.43/9.52 (~P2(f9(f9(a5)),f9(a5))),
% 9.43/9.52 inference(scs_inference,[],[40,202,200,222,86,17,247,25,22,2,14])).
% 9.43/9.52 cnf(255,plain,
% 9.43/9.52 (E(f8(x2551,x2552),f8(x2552,x2551))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(256,plain,
% 9.43/9.52 (~P2(f8(f8(a4,a7),x2561),x2562)+~E(x2562,f9(a4))),
% 9.43/9.52 inference(scs_inference,[],[40,202,164,200,222,86,17,247,250,25,22,2,14,13,21])).
% 9.43/9.52 cnf(258,plain,
% 9.43/9.52 (~E(f8(x2581,f8(a4,a7)),a4)),
% 9.43/9.52 inference(scs_inference,[],[40,202,164,200,222,86,17,247,250,255,25,22,2,14,13,21,3])).
% 9.43/9.52 cnf(261,plain,
% 9.43/9.52 (P2(f9(a5),x2611)+~E(x2611,f9(f8(a7,a4)))),
% 9.43/9.52 inference(scs_inference,[],[40,202,164,200,222,86,17,247,250,255,25,22,2,14,13,21,3,20])).
% 9.43/9.52 cnf(263,plain,
% 9.43/9.52 (~P2(f8(f8(a4,a7),x2631),f9(a4))),
% 9.43/9.52 inference(equality_inference,[],[256])).
% 9.43/9.52 cnf(264,plain,
% 9.43/9.52 (P2(f9(a5),f9(f8(a7,a4)))),
% 9.43/9.52 inference(equality_inference,[],[261])).
% 9.43/9.52 cnf(265,plain,
% 9.43/9.52 (~P2(f8(f9(a5),x2651),f8(a5,a5))),
% 9.43/9.52 inference(scs_inference,[],[99,17,25])).
% 9.43/9.52 cnf(268,plain,
% 9.43/9.52 (~P2(f9(f8(a7,a4)),f9(a5))),
% 9.43/9.52 inference(scs_inference,[],[264,99,17,25,24])).
% 9.43/9.52 cnf(270,plain,
% 9.43/9.52 (~E(f9(f9(a5)),a5)),
% 9.43/9.52 inference(scs_inference,[],[32,264,99,202,17,25,24,20])).
% 9.43/9.52 cnf(272,plain,
% 9.43/9.52 (P2(f8(a7,a4),f9(f8(a7,a4)))),
% 9.43/9.52 inference(scs_inference,[],[32,264,99,202,86,17,25,24,20,13])).
% 9.43/9.52 cnf(277,plain,
% 9.43/9.52 (~P2(f9(f8(a7,a4)),f8(a7,a4))),
% 9.43/9.52 inference(scs_inference,[],[272,268,270,86,16,21,23,24])).
% 9.43/9.52 cnf(280,plain,
% 9.43/9.52 (E(f8(x2801,x2802),f8(x2802,x2801))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(281,plain,
% 9.43/9.52 (P2(f8(a7,a4),f8(f8(a4,a7),x2811))),
% 9.43/9.52 inference(scs_inference,[],[40,272,268,270,218,86,16,17,280,21,23,24,22,14])).
% 9.43/9.52 cnf(284,plain,
% 9.43/9.52 (P2(f9(a5),f9(f9(a5)))),
% 9.43/9.52 inference(scs_inference,[],[40,272,268,270,218,199,86,16,32,17,280,21,23,24,22,14,13])).
% 9.43/9.52 cnf(288,plain,
% 9.43/9.52 (P2(f8(a7,a4),f8(a4,a7))+E(f8(a7,a4),x2881)+~E(f9(f8(a7,a4)),f8(x2881,a5))),
% 9.43/9.52 inference(scs_inference,[],[40,272,268,270,218,199,86,16,32,17,280,21,23,24,22,14,13,12,25,20])).
% 9.43/9.52 cnf(290,plain,
% 9.43/9.52 (E(f9(a5),a5)+E(f8(a7,a4),x2901)+~E(f9(f8(a7,a4)),f8(x2901,a5))),
% 9.43/9.52 inference(scs_inference,[],[40,272,268,270,218,199,86,16,32,17,280,21,23,24,22,14,13,12,25,20,3])).
% 9.43/9.52 cnf(291,plain,
% 9.43/9.52 (E(a5,f8(a7,a4))+E(f8(a7,a4),x2911)+~E(f9(f8(a7,a4)),f8(x2911,a5))),
% 9.43/9.52 inference(scs_inference,[],[40,272,268,270,218,199,86,16,32,17,280,21,23,24,22,14,13,12,25,20,3,2])).
% 9.43/9.52 cnf(292,plain,
% 9.43/9.52 (~E(a4,f8(x2921,f8(a4,a7)))),
% 9.43/9.52 inference(scs_inference,[],[258,2])).
% 9.43/9.52 cnf(295,plain,
% 9.43/9.52 (E(f8(x2951,x2952),f8(x2952,x2951))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(300,plain,
% 9.43/9.52 (~E(f8(x3001,f9(a5)),f9(a4))),
% 9.43/9.52 inference(scs_inference,[],[34,44,265,258,86,17,295,2,13,21,22,23])).
% 9.43/9.52 cnf(305,plain,
% 9.43/9.52 (E(f8(x3051,x3052),f8(x3052,x3051))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(307,plain,
% 9.43/9.52 (~E(f9(f8(a7,a4)),a5)),
% 9.43/9.52 inference(scs_inference,[],[47,277,32,17,25,20])).
% 9.43/9.52 cnf(309,plain,
% 9.43/9.52 (~E(f8(f9(a5),x3091),f9(a4))),
% 9.43/9.52 inference(scs_inference,[],[47,277,300,32,17,305,25,20,3])).
% 9.43/9.52 cnf(314,plain,
% 9.43/9.52 (~E(a6,a1)),
% 9.43/9.52 inference(scs_inference,[],[47,277,300,284,31,32,17,305,25,20,3,13,21,2])).
% 9.43/9.52 cnf(316,plain,
% 9.43/9.52 (~P2(f9(f8(a7,a4)),f8(a4,a7))),
% 9.43/9.52 inference(scs_inference,[],[307,16,21])).
% 9.43/9.52 cnf(319,plain,
% 9.43/9.52 (E(f8(x3191,x3192),f8(x3192,x3191))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(324,plain,
% 9.43/9.52 (P2(f9(a5),x3241)+~E(x3241,f9(f8(a4,a7)))),
% 9.43/9.52 inference(scs_inference,[],[314,292,307,31,16,17,319,21,25,3,20])).
% 9.43/9.52 cnf(329,plain,
% 9.43/9.52 (P2(f9(a5),f9(f8(a4,a7)))),
% 9.43/9.52 inference(equality_inference,[],[324])).
% 9.43/9.52 cnf(330,plain,
% 9.43/9.52 (~P2(f9(f8(a4,a7)),f9(a5))),
% 9.43/9.52 inference(scs_inference,[],[329,24])).
% 9.43/9.52 cnf(332,plain,
% 9.43/9.52 (~P2(f9(f8(a4,a7)),f8(a7,a4))),
% 9.43/9.52 inference(scs_inference,[],[329,32,24,14])).
% 9.43/9.52 cnf(338,plain,
% 9.43/9.52 (E(f9(a5),x3381)+~E(f9(f8(a4,a7)),f9(x3381))),
% 9.43/9.52 inference(scs_inference,[],[263,329,252,86,32,17,24,14,13,23,21])).
% 9.43/9.52 cnf(363,plain,
% 9.43/9.52 (~E(f9(f8(a4,a7)),a5)),
% 9.43/9.52 inference(scs_inference,[],[40,332,32,17,22,20])).
% 9.43/9.52 cnf(366,plain,
% 9.43/9.52 (~E(f9(a4),f8(f9(a5),x3661))),
% 9.43/9.52 inference(scs_inference,[],[40,332,309,330,16,32,17,22,20,14,2])).
% 9.43/9.52 cnf(400,plain,
% 9.43/9.52 (E(f8(x4001,x4002),f8(x4002,x4001))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(403,plain,
% 9.43/9.52 (E(f8(x4031,x4032),f8(x4032,x4031))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(404,plain,
% 9.43/9.52 (~E(a7,a4)),
% 9.43/9.52 inference(scs_inference,[],[56,366,363,17,400,25,3,2])).
% 9.43/9.52 cnf(407,plain,
% 9.43/9.52 (E(f8(x4071,x4072),f8(x4072,x4071))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(410,plain,
% 9.43/9.52 (~E(f9(f8(a7,a4)),a4)),
% 9.43/9.52 inference(scs_inference,[],[56,316,198,366,363,281,17,400,403,407,25,3,2,13,21,22])).
% 9.43/9.52 cnf(423,plain,
% 9.43/9.52 (E(f8(x4231,x4232),f8(x4232,x4231))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(428,plain,
% 9.43/9.52 (~P2(f9(f8(a7,a4)),x4281)+~E(x4281,f9(a4))),
% 9.43/9.52 inference(scs_inference,[],[44,410,125,264,31,17,423,23,3,13,21])).
% 9.43/9.52 cnf(432,plain,
% 9.43/9.52 (~P2(f9(f8(a7,a4)),f9(a4))),
% 9.43/9.52 inference(equality_inference,[],[428])).
% 9.43/9.52 cnf(448,plain,
% 9.43/9.52 (~P2(a7,x4481)+~E(x4481,f9(a4))),
% 9.43/9.52 inference(scs_inference,[],[404,21])).
% 9.43/9.52 cnf(462,plain,
% 9.43/9.52 (~P2(a7,f9(a4))),
% 9.43/9.52 inference(equality_inference,[],[448])).
% 9.43/9.52 cnf(464,plain,
% 9.43/9.52 (E(f8(x4641,x4642),f8(x4642,x4641))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(468,plain,
% 9.43/9.52 (~E(f8(x4681,f8(a7,a4)),a7)),
% 9.43/9.52 inference(scs_inference,[],[432,307,153,17,464,25,23,3])).
% 9.43/9.52 cnf(493,plain,
% 9.43/9.52 (E(f9(a5),x4931)+E(f9(a5),x4932)+~E(f9(f9(a5)),f8(x4932,x4931))),
% 9.43/9.52 inference(scs_inference,[],[468,209,284,329,31,2,13,21,25])).
% 9.43/9.52 cnf(571,plain,
% 9.43/9.52 (E(x5711,f8(a7,a4))+~E(f8(x5712,f9(a5)),f9(x5711))),
% 9.43/9.52 inference(scs_inference,[],[81,21,2])).
% 9.43/9.52 cnf(729,plain,
% 9.43/9.52 (E(x7291,f8(a7,a4))+~E(f8(x7292,f8(a4,a7)),f9(x7291))),
% 9.43/9.52 inference(scs_inference,[],[218,86,21,3,2])).
% 9.43/9.52 cnf(878,plain,
% 9.43/9.52 (~P2(a5,x8781)+~E(x8781,f9(a4))),
% 9.43/9.52 inference(scs_inference,[],[66,21])).
% 9.43/9.52 cnf(894,plain,
% 9.43/9.52 (~P2(a5,f9(a4))),
% 9.43/9.52 inference(equality_inference,[],[878])).
% 9.43/9.52 cnf(930,plain,
% 9.43/9.52 (~E(f9(x9301),f8(a5,a5))+~E(a4,x9301)),
% 9.43/9.52 inference(scs_inference,[],[159,2])).
% 9.43/9.52 cnf(940,plain,
% 9.43/9.52 (E(f9(a5),x9401)+~E(f9(f8(a7,a4)),f9(x9401))),
% 9.43/9.52 inference(scs_inference,[],[462,264,22,21])).
% 9.43/9.52 cnf(976,plain,
% 9.43/9.52 (E(x9761,f8(a7,a4))+~E(f9(f8(a7,a4)),f9(x9761))+~E(f9(a4),f8(x9762,a7))),
% 9.43/9.52 inference(scs_inference,[],[894,272,66,31,22,25,21,2])).
% 9.43/9.52 cnf(996,plain,
% 9.43/9.52 (E(x9961,f8(a7,a4))+~E(f9(f9(a5)),f9(x9961))),
% 9.43/9.52 inference(scs_inference,[],[187,199,210,86,22,21,13,2])).
% 9.43/9.52 cnf(1000,plain,
% 9.43/9.52 (~P2(f9(x10001),f8(f8(a5,a5),f8(a5,a5)))+~E(a4,x10001)),
% 9.43/9.52 inference(scs_inference,[],[17,930,25])).
% 9.43/9.52 cnf(1001,plain,
% 9.43/9.52 (~P2(f9(a4),f8(f8(a5,a5),f8(a5,a5)))),
% 9.43/9.52 inference(equality_inference,[],[1000])).
% 9.43/9.52 cnf(1018,plain,
% 9.43/9.52 (~E(f9(a4),f8(a5,a5))),
% 9.43/9.52 inference(scs_inference,[],[1001,17,23])).
% 9.43/9.52 cnf(1021,plain,
% 9.43/9.52 (E(f9(a5),x10211)+E(f9(a5),x10212)+~E(f9(f8(a7,a4)),f8(x10212,x10211))),
% 9.43/9.52 inference(scs_inference,[],[1001,264,17,23,25])).
% 9.43/9.52 cnf(1030,plain,
% 9.43/9.52 (~P2(f9(a4),x10301)+~E(x10301,f9(f8(a5,a5)))),
% 9.43/9.52 inference(scs_inference,[],[1018,410,17,25,2,21])).
% 9.43/9.52 cnf(1033,plain,
% 9.43/9.52 (~P2(f9(a4),f9(f8(a5,a5)))),
% 9.43/9.52 inference(equality_inference,[],[1030])).
% 9.43/9.52 cnf(1061,plain,
% 9.43/9.52 (E(f9(a5),x10611)+E(f9(a5),x10612)+~E(f9(f8(a4,a7)),f8(x10612,x10611))),
% 9.43/9.52 inference(scs_inference,[],[1033,329,23,25])).
% 9.43/9.52 cnf(1081,plain,
% 9.43/9.52 (P2(f3(a5,a5,f9(a4)),f9(a4))),
% 9.43/9.52 inference(scs_inference,[],[210,1018,32,86,28,20,24,22])).
% 9.43/9.52 cnf(1084,plain,
% 9.43/9.52 (~E(f3(a5,a5,f9(a4)),a5)),
% 9.43/9.52 inference(scs_inference,[],[1081,1018,30])).
% 9.43/9.52 cnf(1093,plain,
% 9.43/9.52 (~E(f9(a4),f8(a4,a7))),
% 9.43/9.52 inference(scs_inference,[],[210,1081,1018,40,16,31,17,30,24,22,23,21,14])).
% 9.43/9.52 cnf(1094,plain,
% 9.43/9.52 (~E(a5,f3(a5,a5,f9(a4)))),
% 9.43/9.52 inference(scs_inference,[],[210,1081,1018,40,16,31,17,30,24,22,23,21,14,2])).
% 9.43/9.52 cnf(1095,plain,
% 9.43/9.52 (~E(f3(a5,a5,f9(a4)),a7)),
% 9.43/9.52 inference(scs_inference,[],[210,1081,462,1018,40,16,31,17,30,24,22,23,21,14,2,13])).
% 9.43/9.52 cnf(1117,plain,
% 9.43/9.52 (~P2(f3(a5,a5,f9(a4)),f8(a7,a4))),
% 9.43/9.52 inference(scs_inference,[],[1084,32,21])).
% 9.43/9.52 cnf(1125,plain,
% 9.43/9.52 (E(f8(x11251,x11252),f8(x11252,x11251))),
% 9.43/9.52 inference(rename_variables,[],[17])).
% 9.43/9.52 cnf(1127,plain,
% 9.43/9.52 (~E(f3(a5,a5,f9(a4)),a4)),
% 9.43/9.52 inference(scs_inference,[],[1117,1093,1095,1081,17,1125,21,14,25,23])).
% 9.43/9.52 cnf(1133,plain,
% 9.43/9.52 (~E(f9(a4),f8(a4,a4))),
% 9.43/9.52 inference(scs_inference,[],[1127,1081,21,25])).
% 9.43/9.52 cnf(1202,plain,
% 9.43/9.52 (~E(f8(a7,a4),f3(a5,a5,f9(a4)))),
% 9.43/9.52 inference(scs_inference,[],[210,1094,1095,1127,1081,31,21,25,3,996,571,976,6,23])).
% 9.43/9.52 cnf(1214,plain,
% 9.43/9.52 (~E(f3(a5,a5,f9(a4)),f8(a7,a4))),
% 9.43/9.52 inference(scs_inference,[],[1202,2])).
% 9.43/9.52 cnf(1222,plain,
% 9.43/9.52 (~E(f9(a4),f9(f8(a7,a4)))),
% 9.43/9.52 inference(scs_inference,[],[1214,1081,21])).
% 9.43/9.52 cnf(1227,plain,
% 9.43/9.52 (~E(a4,f8(a7,a4))),
% 9.43/9.52 inference(scs_inference,[],[1222,6])).
% 9.43/9.52 cnf(1228,plain,
% 9.43/9.52 (~E(f9(f9(a5)),f9(a4))),
% 9.43/9.52 inference(scs_inference,[],[1222,6,996])).
% 9.43/9.52 cnf(1242,plain,
% 9.43/9.52 (~E(f9(a5),a4)),
% 9.43/9.52 inference(scs_inference,[],[1228,1227,1214,1081,729,25,6])).
% 9.43/9.52 cnf(1246,plain,
% 9.43/9.52 (~E(f9(f8(a7,a4)),f9(a4))),
% 9.43/9.52 inference(scs_inference,[],[1242,940])).
% 9.43/9.52 cnf(1254,plain,
% 9.43/9.52 (~E(f9(f9(a5)),f8(a4,a4))),
% 9.43/9.52 inference(scs_inference,[],[1242,940,338,1061,1021,493])).
% 9.43/9.52 cnf(1329,plain,
% 9.43/9.52 (~E(f3(a4,a4,f9(a4)),a4)),
% 9.43/9.52 inference(scs_inference,[],[1254,1246,1133,1214,86,3,2,6,291,290,288,30,28,20])).
% 9.43/9.52 cnf(1331,plain,
% 9.43/9.52 (P2(f3(a4,a4,f9(a4)),f9(a4))),
% 9.43/9.52 inference(scs_inference,[],[1329,1133,28])).
% 9.43/9.52 cnf(1381,plain,
% 9.43/9.52 ($false),
% 9.43/9.52 inference(scs_inference,[],[1331,1329,21]),
% 9.43/9.52 ['proof']).
% 9.43/9.52 % SZS output end Proof
% 9.43/9.52 % Total time :8.850000s
%------------------------------------------------------------------------------