TSTP Solution File: FLD027-3 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD027-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n007.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 22:26:36 EDT 2023
% Result : Unsatisfiable 0.49s 0.96s
% Output : CNFRefutation 0.49s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.15 % Problem : FLD027-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.08/0.15 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.09/0.35 % Computer : n007.cluster.edu
% 0.09/0.35 % Model : x86_64 x86_64
% 0.09/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.35 % Memory : 8042.1875MB
% 0.09/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.35 % CPULimit : 300
% 0.09/0.35 % WCLimit : 300
% 0.09/0.35 % DateTime : Mon Aug 28 00:02:42 EDT 2023
% 0.09/0.35 % CPUTime :
% 0.14/0.57 start to proof:theBenchmark
% 0.49/0.96 %-------------------------------------------
% 0.49/0.96 % File :CSE---1.6
% 0.49/0.96 % Problem :theBenchmark
% 0.49/0.96 % Transform :cnf
% 0.49/0.96 % Format :tptp:raw
% 0.49/0.96 % Command :java -jar mcs_scs.jar %d %s
% 0.49/0.96
% 0.49/0.96 % Result :Theorem 0.320000s
% 0.49/0.96 % Output :CNFRefutation 0.320000s
% 0.49/0.96 %-------------------------------------------
% 0.49/0.96 %--------------------------------------------------------------------------
% 0.49/0.96 % File : FLD027-3 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.49/0.96 % Domain : Field Theory (Ordered fields)
% 0.49/0.96 % Problem : Elimination of multiplicative inverses in an equation
% 0.49/0.96 % Version : [Dra93] axioms : Especial.
% 0.49/0.96 % Theorem formulation : Functional with re axiom set.
% 0.49/0.96 % English :
% 0.49/0.96
% 0.49/0.96 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.49/0.96 % Source : [Dra93]
% 0.49/0.96 % Names :
% 0.49/0.96
% 0.49/0.96 % Status : Unsatisfiable
% 0.49/0.96 % Rating : 0.14 v8.1.0, 0.00 v7.0.0, 0.12 v6.3.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.07 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.00 v2.2.1, 0.33 v2.1.0
% 0.49/0.96 % Syntax : Number of clauses : 32 ( 9 unt; 3 nHn; 32 RR)
% 0.49/0.96 % Number of literals : 83 ( 0 equ; 52 neg)
% 0.49/0.96 % Maximal clause size : 5 ( 2 avg)
% 0.49/0.96 % Maximal term depth : 2 ( 1 avg)
% 0.49/0.96 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.49/0.96 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 0.49/0.96 % Number of variables : 73 ( 0 sgn)
% 0.49/0.96 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.49/0.96
% 0.49/0.96 % Comments :
% 0.49/0.96 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.49/0.96 %--------------------------------------------------------------------------
% 0.49/0.96 include('Axioms/FLD002-0.ax').
% 0.49/0.96 %--------------------------------------------------------------------------
% 0.49/0.96 cnf(a_is_defined,hypothesis,
% 0.49/0.96 defined(a) ).
% 0.49/0.96
% 0.49/0.96 cnf(b_is_defined,hypothesis,
% 0.49/0.96 defined(b) ).
% 0.49/0.96
% 0.49/0.96 cnf(not_sum_3,negated_conjecture,
% 0.49/0.96 ~ sum(additive_identity,a,additive_identity) ).
% 0.49/0.96
% 0.49/0.96 cnf(not_sum_4,negated_conjecture,
% 0.49/0.96 ~ sum(additive_identity,b,additive_identity) ).
% 0.49/0.96
% 0.49/0.96 cnf(product_5,negated_conjecture,
% 0.49/0.96 product(multiplicative_identity,multiplicative_inverse(a),multiplicative_inverse(b)) ).
% 0.49/0.96
% 0.49/0.96 cnf(not_product_6,negated_conjecture,
% 0.49/0.96 ~ product(multiplicative_identity,a,b) ).
% 0.49/0.96
% 0.49/0.96 %--------------------------------------------------------------------------
% 0.49/0.96 %-------------------------------------------
% 0.49/0.96 % Proof found
% 0.49/0.96 % SZS status Theorem for theBenchmark
% 0.49/0.96 % SZS output start Proof
% 0.49/0.96 %ClaNum:32(EqnAxiom:0)
% 0.49/0.96 %VarNum:162(SingletonVarNum:73)
% 0.49/0.97 %MaxLitNum:5
% 0.49/0.97 %MaxfuncDepth:1
% 0.49/0.97 %SharedTerms:15
% 0.49/0.97 %goalClause: 5 7 8 9
% 0.49/0.97 %singleGoalClaCount:4
% 0.49/0.97 [1]P1(a1)
% 0.49/0.97 [2]P1(a4)
% 0.49/0.97 [3]P1(a2)
% 0.49/0.97 [4]P1(a5)
% 0.49/0.97 [6]~P4(a1,a1,a4)
% 0.49/0.97 [7]~P4(a1,a2,a1)
% 0.49/0.97 [8]~P4(a1,a5,a1)
% 0.49/0.97 [9]~P2(a4,a2,a5)
% 0.49/0.97 [5]P2(a4,f7(a2),f7(a5))
% 0.49/0.97 [15]~P1(x151)+P4(a1,x151,x151)
% 0.49/0.97 [16]~P1(x161)+P2(a4,x161,x161)
% 0.49/0.97 [10]~P1(x101)+P1(f6(x101))
% 0.49/0.97 [17]~P1(x171)+P4(f6(x171),x171,a1)
% 0.49/0.97 [24]~P4(x242,x241,x243)+P4(x241,x242,x243)
% 0.49/0.97 [25]~P2(x252,x251,x253)+P2(x251,x252,x253)
% 0.49/0.97 [18]~P1(x181)+P4(a1,x181,a1)+P1(f7(x181))
% 0.49/0.97 [22]~P1(x221)+P2(f7(x221),x221,a4)+P4(a1,x221,a1)
% 0.49/0.97 [21]~P3(x212,x211)+~P3(x211,x212)+P4(a1,x211,x212)
% 0.49/0.97 [12]~P1(x122)+~P1(x121)+P1(f3(x121,x122))
% 0.49/0.97 [13]~P1(x132)+~P1(x131)+P1(f8(x131,x132))
% 0.49/0.97 [19]~P1(x192)+~P1(x191)+P4(x191,x192,f3(x191,x192))
% 0.49/0.97 [20]~P1(x202)+~P1(x201)+P2(x201,x202,f8(x201,x202))
% 0.49/0.97 [14]~P3(x141,x143)+P3(x141,x142)+~P3(x143,x142)
% 0.49/0.97 [11]P3(x112,x111)+~P1(x111)+~P1(x112)+P3(x111,x112)
% 0.49/0.97 [23]~P2(x233,x232,x231)+P3(a1,x231)+~P3(a1,x232)+~P3(a1,x233)
% 0.49/0.97 [26]~P4(x263,x265,x261)+P3(x261,x262)+~P4(x264,x265,x262)+~P3(x263,x264)
% 0.49/0.97 [27]~P4(x271,x276,x274)+P4(x271,x272,x273)+~P4(x274,x275,x273)+~P4(x276,x275,x272)
% 0.49/0.97 [28]~P4(x286,x284,x281)+P4(x281,x282,x283)+~P4(x284,x282,x285)+~P4(x286,x285,x283)
% 0.49/0.97 [29]~P2(x291,x296,x294)+P2(x291,x292,x293)+~P2(x294,x295,x293)+~P2(x296,x295,x292)
% 0.49/0.97 [30]~P2(x306,x304,x301)+P2(x301,x302,x303)+~P2(x304,x302,x305)+~P2(x306,x305,x303)
% 0.49/0.97 [31]~P2(x315,x317,x312)+~P2(x314,x317,x311)+P4(x311,x312,x313)+~P4(x314,x315,x316)+~P2(x316,x317,x313)
% 0.49/0.97 [32]~P2(x327,x322,x325)+~P2(x326,x322,x324)+P2(x321,x322,x323)+~P4(x324,x325,x323)+~P4(x326,x327,x321)
% 0.49/0.97 %EqnAxiom
% 0.49/0.97
% 0.49/0.97 %-------------------------------------------
% 0.49/0.97 cnf(33,plain,
% 0.49/0.97 (~P2(a2,a4,a5)),
% 0.49/0.97 inference(scs_inference,[],[9,25])).
% 0.49/0.97 cnf(34,plain,
% 0.49/0.97 (~P4(a2,a1,a1)),
% 0.49/0.97 inference(scs_inference,[],[7,9,25,24])).
% 0.49/0.97 cnf(35,plain,
% 0.49/0.97 (P3(a1,a1)),
% 0.49/0.97 inference(scs_inference,[],[7,9,1,25,24,11])).
% 0.49/0.97 cnf(36,plain,
% 0.49/0.97 (P2(a4,a1,a1)),
% 0.49/0.97 inference(scs_inference,[],[7,9,1,25,24,11,16])).
% 0.49/0.97 cnf(38,plain,
% 0.49/0.97 (P4(a1,a1,a1)),
% 0.49/0.97 inference(scs_inference,[],[7,9,1,25,24,11,16,15])).
% 0.49/0.97 cnf(40,plain,
% 0.49/0.97 (P4(f6(a1),a1,a1)),
% 0.49/0.97 inference(scs_inference,[],[7,9,1,25,24,11,16,15,17])).
% 0.49/0.97 cnf(42,plain,
% 0.49/0.97 (P1(f6(a1))),
% 0.49/0.97 inference(scs_inference,[],[7,9,1,25,24,11,16,15,17,10])).
% 0.49/0.97 cnf(44,plain,
% 0.49/0.97 (P2(f7(a2),a2,a4)),
% 0.49/0.97 inference(scs_inference,[],[7,9,1,3,25,24,11,16,15,17,10,22])).
% 0.49/0.97 cnf(46,plain,
% 0.49/0.97 (P2(a1,a1,f8(a1,a1))),
% 0.49/0.97 inference(scs_inference,[],[7,9,1,3,25,24,11,16,15,17,10,22,20])).
% 0.49/0.97 cnf(48,plain,
% 0.49/0.97 (P4(a1,a1,f3(a1,a1))),
% 0.49/0.97 inference(scs_inference,[],[7,9,1,3,25,24,11,16,15,17,10,22,20,19])).
% 0.49/0.97 cnf(54,plain,
% 0.49/0.97 (P1(f3(a1,a1))),
% 0.49/0.97 inference(scs_inference,[],[7,9,1,3,25,24,11,16,15,17,10,22,20,19,18,13,12])).
% 0.49/0.97 cnf(56,plain,
% 0.49/0.97 (~P2(a4,a4,x561)+P2(f7(a5),a2,x561)),
% 0.49/0.97 inference(scs_inference,[],[5,7,9,1,3,25,24,11,16,15,17,10,22,20,19,18,13,12,30])).
% 0.49/0.97 cnf(72,plain,
% 0.49/0.97 (~P4(f6(a1),f6(a1),a2)),
% 0.49/0.97 inference(scs_inference,[],[40,34,28])).
% 0.49/0.97 cnf(74,plain,
% 0.49/0.97 (P2(f7(a2),a4,f7(a5))),
% 0.49/0.97 inference(scs_inference,[],[5,40,34,28,25])).
% 0.49/0.97 cnf(76,plain,
% 0.49/0.97 (P2(a4,a4,f8(a4,a4))),
% 0.49/0.97 inference(scs_inference,[],[5,2,40,34,28,25,20])).
% 0.49/0.97 cnf(78,plain,
% 0.49/0.97 (P4(a4,a4,f3(a4,a4))),
% 0.49/0.97 inference(scs_inference,[],[5,2,40,34,28,25,20,19])).
% 0.49/0.97 cnf(82,plain,
% 0.49/0.97 (P2(f7(a5),a5,a4)),
% 0.49/0.97 inference(scs_inference,[],[5,2,4,8,38,40,34,28,25,20,19,27,22])).
% 0.49/0.97 cnf(86,plain,
% 0.49/0.97 (P1(f8(a4,a4))),
% 0.49/0.97 inference(scs_inference,[],[5,2,4,8,38,40,34,28,25,20,19,27,22,18,13])).
% 0.49/0.97 cnf(88,plain,
% 0.49/0.97 (P1(f3(a4,a4))),
% 0.49/0.97 inference(scs_inference,[],[5,2,4,8,38,40,34,28,25,20,19,27,22,18,13,12])).
% 0.49/0.97 cnf(94,plain,
% 0.49/0.97 (P2(f3(a4,a4),a1,a1)),
% 0.49/0.97 inference(scs_inference,[],[5,2,4,8,38,35,40,46,48,34,36,28,25,20,19,27,22,18,13,12,26,23,32])).
% 0.49/0.97 cnf(96,plain,
% 0.49/0.97 (P4(f8(a1,a1),f8(a1,a1),f8(a1,a1))),
% 0.49/0.97 inference(scs_inference,[],[5,2,4,8,38,35,40,46,48,34,36,28,25,20,19,27,22,18,13,12,26,23,32,31])).
% 0.49/0.97 cnf(98,plain,
% 0.49/0.97 (P4(a1,f6(a1),a1)),
% 0.49/0.97 inference(scs_inference,[],[5,2,4,8,38,35,40,46,48,34,36,28,25,20,19,27,22,18,13,12,26,23,32,31,24])).
% 0.49/0.97 cnf(102,plain,
% 0.49/0.97 (P2(f8(a4,a4),a1,a1)),
% 0.49/0.97 inference(scs_inference,[],[5,2,4,8,38,35,40,46,48,34,36,28,25,20,19,27,22,18,13,12,26,23,32,31,24,14,30])).
% 0.49/0.97 cnf(104,plain,
% 0.49/0.97 (P2(a4,f8(a1,a1),f8(a1,a1))),
% 0.49/0.97 inference(scs_inference,[],[5,2,4,8,38,35,40,46,48,34,36,28,25,20,19,27,22,18,13,12,26,23,32,31,24,14,30,29])).
% 0.49/0.97 cnf(106,plain,
% 0.49/0.97 (P4(a1,f3(a1,a1),f3(a1,a1))),
% 0.49/0.97 inference(scs_inference,[],[5,2,4,8,38,35,40,46,48,34,36,28,25,20,19,27,22,18,13,12,26,23,32,31,24,14,30,29,21])).
% 0.49/0.97 cnf(108,plain,
% 0.49/0.97 (P2(f7(a5),a2,f8(a4,a4))),
% 0.49/0.97 inference(scs_inference,[],[5,2,4,8,38,35,40,46,48,34,36,28,25,20,19,27,22,18,13,12,26,23,32,31,24,14,30,29,21,56])).
% 0.49/0.97 cnf(112,plain,
% 0.49/0.97 (P4(f6(a1),f3(a1,a1),f3(a1,a1))),
% 0.49/0.97 inference(scs_inference,[],[7,106,98,40,28,27])).
% 0.49/0.97 cnf(118,plain,
% 0.49/0.97 (P2(a2,f7(a5),f8(a4,a4))),
% 0.49/0.97 inference(scs_inference,[],[7,33,8,106,108,74,98,40,28,27,24,30,25])).
% 0.49/0.97 cnf(131,plain,
% 0.49/0.97 (P4(f3(a1,a1),a1,f3(a1,a1))),
% 0.49/0.97 inference(scs_inference,[],[106,48,28])).
% 0.49/0.97 cnf(133,plain,
% 0.49/0.97 (~P4(f3(a1,a1),f6(a1),a4)),
% 0.49/0.97 inference(scs_inference,[],[6,106,48,98,28,27])).
% 0.49/0.97 cnf(135,plain,
% 0.49/0.97 (~P2(f8(a4,a4),a5,a5)),
% 0.49/0.97 inference(scs_inference,[],[6,33,118,82,106,48,98,28,27,29])).
% 0.49/0.97 cnf(137,plain,
% 0.49/0.97 (P4(f3(a1,a1),f6(a1),f3(a1,a1))),
% 0.49/0.97 inference(scs_inference,[],[6,33,112,118,82,106,48,98,28,27,29,24])).
% 0.49/0.97 cnf(153,plain,
% 0.49/0.97 (~P4(f6(a1),a5,f6(a1))),
% 0.49/0.97 inference(scs_inference,[],[8,98,28])).
% 0.49/0.97 cnf(155,plain,
% 0.49/0.97 (P4(a2,a2,f3(a2,a2))),
% 0.49/0.97 inference(scs_inference,[],[8,3,98,28,19])).
% 0.49/0.97 cnf(157,plain,
% 0.49/0.97 (P2(a1,f8(a4,a4),a1)),
% 0.49/0.97 inference(scs_inference,[],[8,3,102,98,28,19,25])).
% 0.49/0.97 cnf(163,plain,
% 0.49/0.97 (~P4(f6(a1),f3(a1,a1),a4)),
% 0.49/0.97 inference(scs_inference,[],[8,3,133,102,98,46,28,19,25,27,29,24])).
% 0.49/0.97 cnf(167,plain,
% 0.49/0.97 (P4(a1,a2,a2)),
% 0.49/0.97 inference(scs_inference,[],[8,3,133,102,98,46,28,19,25,27,29,24,10,15])).
% 0.49/0.97 cnf(169,plain,
% 0.49/0.97 (P2(a4,a2,a2)),
% 0.49/0.97 inference(scs_inference,[],[8,3,133,102,98,46,28,19,25,27,29,24,10,15,16])).
% 0.49/0.97 cnf(171,plain,
% 0.49/0.97 (P4(f6(a2),a2,a1)),
% 0.49/0.97 inference(scs_inference,[],[8,3,133,102,98,46,28,19,25,27,29,24,10,15,16,17])).
% 0.49/0.97 cnf(173,plain,
% 0.49/0.97 (P3(a2,a2)),
% 0.49/0.97 inference(scs_inference,[],[8,3,133,102,98,46,28,19,25,27,29,24,10,15,16,17,11])).
% 0.49/0.97 cnf(175,plain,
% 0.49/0.97 (P2(f8(a4,a4),a2,a2)),
% 0.49/0.97 inference(scs_inference,[],[8,3,76,133,102,98,46,28,19,25,27,29,24,10,15,16,17,11,30])).
% 0.49/0.97 cnf(183,plain,
% 0.49/0.97 (P4(a5,a5,f3(a5,a5))),
% 0.49/0.97 inference(scs_inference,[],[4,19])).
% 0.49/0.97 cnf(187,plain,
% 0.49/0.97 (P2(f3(a4,a4),a2,f3(a2,a2))),
% 0.49/0.97 inference(scs_inference,[],[4,157,155,169,78,46,19,30,32])).
% 0.49/0.97 cnf(189,plain,
% 0.49/0.97 (P2(f8(a4,a4),f8(a4,a4),f8(a4,a4))),
% 0.49/0.97 inference(scs_inference,[],[4,157,175,155,169,118,78,46,19,30,32,29])).
% 0.49/0.97 cnf(191,plain,
% 0.49/0.97 (~P2(a5,f8(a4,a4),a5)),
% 0.49/0.97 inference(scs_inference,[],[4,157,135,175,155,169,118,78,46,19,30,32,29,25])).
% 0.49/0.97 cnf(193,plain,
% 0.49/0.97 (~P4(a2,f6(a2),f6(a2))),
% 0.49/0.97 inference(scs_inference,[],[34,4,157,135,175,155,171,169,118,78,46,19,30,32,29,25,27])).
% 0.49/0.97 cnf(195,plain,
% 0.49/0.97 (P4(a2,a1,a2)),
% 0.49/0.97 inference(scs_inference,[],[34,4,157,167,135,175,155,171,169,118,78,46,19,30,32,29,25,27,24])).
% 0.49/0.97 cnf(199,plain,
% 0.49/0.97 (P1(f3(a5,a5))),
% 0.49/0.97 inference(scs_inference,[],[34,4,157,167,135,175,155,171,169,118,78,46,19,30,32,29,25,27,24,20,12])).
% 0.49/0.97 cnf(201,plain,
% 0.49/0.97 (P1(f8(a5,a5))),
% 0.49/0.97 inference(scs_inference,[],[34,4,157,167,135,175,155,171,169,118,78,46,19,30,32,29,25,27,24,20,12,13])).
% 0.49/0.97 cnf(207,plain,
% 0.49/0.97 (P4(a1,a4,a1)+P2(f7(a4),a4,a4)),
% 0.49/0.97 inference(scs_inference,[],[34,4,2,137,157,167,135,175,155,171,169,118,78,46,19,30,32,29,25,27,24,20,12,13,28,18,22])).
% 0.49/0.97 cnf(214,plain,
% 0.49/0.97 (P1(f3(a2,a2))),
% 0.49/0.97 inference(scs_inference,[],[3,12])).
% 0.49/0.97 cnf(216,plain,
% 0.49/0.97 (P2(a2,a2,f8(a2,a2))),
% 0.49/0.97 inference(scs_inference,[],[3,12,20])).
% 0.49/0.97 cnf(218,plain,
% 0.49/0.97 (P1(f8(a2,a2))),
% 0.49/0.97 inference(scs_inference,[],[3,12,20,13])).
% 0.49/0.97 cnf(220,plain,
% 0.49/0.97 (~P4(f3(a1,a1),a1,a4)),
% 0.49/0.97 inference(scs_inference,[],[3,131,133,98,12,20,13,28])).
% 0.49/0.97 cnf(222,plain,
% 0.49/0.97 (P2(a2,f3(a4,a4),f3(a2,a2))),
% 0.49/0.97 inference(scs_inference,[],[3,131,187,133,98,12,20,13,28,25])).
% 0.49/0.97 cnf(224,plain,
% 0.49/0.97 (P2(f3(a4,a4),f8(a1,a1),f8(a1,a1))),
% 0.49/0.97 inference(scs_inference,[],[3,131,187,133,104,96,78,98,12,20,13,28,25,32])).
% 0.49/0.97 cnf(228,plain,
% 0.49/0.97 (P4(f6(a1),a2,a2)),
% 0.49/0.97 inference(scs_inference,[],[3,153,131,187,167,133,104,96,40,78,98,12,20,13,28,25,32,24,27])).
% 0.49/0.97 cnf(242,plain,
% 0.49/0.97 (P3(f3(a2,a2),f3(a2,a2))),
% 0.49/0.97 inference(scs_inference,[],[173,155,26])).
% 0.49/0.97 cnf(244,plain,
% 0.49/0.97 (~P4(f6(a2),a2,a4)),
% 0.49/0.97 inference(scs_inference,[],[6,195,173,155,171,26,28])).
% 0.49/0.97 cnf(250,plain,
% 0.49/0.97 (P4(a2,f6(a1),a2)),
% 0.49/0.97 inference(scs_inference,[],[9,6,216,228,195,173,155,171,44,26,28,30,25,24])).
% 0.49/0.97 cnf(252,plain,
% 0.49/0.97 (~P2(a1,f8(a4,a4),a4)),
% 0.49/0.97 inference(scs_inference,[],[9,6,216,228,195,173,155,157,171,44,38,26,28,30,25,24,31])).
% 0.49/0.97 cnf(254,plain,
% 0.49/0.97 (P2(f3(a1,a1),f8(a4,a4),f3(a1,a1))),
% 0.49/0.97 inference(scs_inference,[],[9,6,216,228,195,173,155,157,171,44,38,48,26,28,30,25,24,31,32])).
% 0.49/0.97 cnf(256,plain,
% 0.49/0.97 (~P2(f8(a4,a4),a2,a5)),
% 0.49/0.97 inference(scs_inference,[],[9,6,216,228,195,173,155,157,171,44,76,169,38,48,26,28,30,25,24,31,32,29])).
% 0.49/0.97 cnf(269,plain,
% 0.49/0.97 (P4(f3(a1,a1),f3(a1,a1),f3(f3(a1,a1),f3(a1,a1)))),
% 0.49/0.97 inference(scs_inference,[],[54,19])).
% 0.49/0.97 cnf(271,plain,
% 0.49/0.97 (P4(a1,f3(a2,a2),f3(a2,a2))),
% 0.49/0.97 inference(scs_inference,[],[242,54,19,21])).
% 0.49/0.97 cnf(275,plain,
% 0.49/0.97 (~P2(a2,f8(a4,a4),a5)),
% 0.49/0.97 inference(scs_inference,[],[242,256,54,193,108,118,19,21,24,30])).
% 0.49/0.97 cnf(277,plain,
% 0.49/0.97 (P2(a1,a4,a1)),
% 0.49/0.97 inference(scs_inference,[],[36,242,256,54,193,108,118,19,21,24,30,25])).
% 0.49/0.97 cnf(281,plain,
% 0.49/0.97 (~P2(f3(a4,a4),a1,a4)),
% 0.49/0.97 inference(scs_inference,[],[6,36,242,72,256,54,193,250,108,228,118,78,19,21,24,30,25,27,31])).
% 0.49/0.97 cnf(283,plain,
% 0.49/0.97 (P2(f8(a4,a4),f3(a2,a2),f3(a2,a2))),
% 0.49/0.97 inference(scs_inference,[],[6,36,242,72,256,54,222,193,250,108,175,228,118,78,19,21,24,30,25,27,31,29])).
% 0.49/0.97 cnf(287,plain,
% 0.49/0.97 (P2(a4,a5,a5)),
% 0.49/0.97 inference(scs_inference,[],[6,36,4,242,72,256,54,222,193,250,108,175,228,118,78,19,21,24,30,25,27,31,29,10,16])).
% 0.49/0.97 cnf(289,plain,
% 0.49/0.97 (P4(f6(a5),a5,a1)),
% 0.49/0.97 inference(scs_inference,[],[6,36,4,242,72,256,54,222,193,250,108,175,228,118,78,19,21,24,30,25,27,31,29,10,16,17])).
% 0.49/0.97 cnf(291,plain,
% 0.49/0.97 (P4(a1,a5,a5)),
% 0.49/0.97 inference(scs_inference,[],[6,36,4,242,72,256,54,222,193,250,108,175,228,118,78,19,21,24,30,25,27,31,29,10,16,17,15])).
% 0.49/0.97 cnf(305,plain,
% 0.49/0.97 (~P2(f8(a4,a4),a1,a4)),
% 0.49/0.97 inference(scs_inference,[],[252,289,7,28,25])).
% 0.49/0.97 cnf(307,plain,
% 0.49/0.97 (P2(f8(a1,a1),a4,f8(a1,a1))),
% 0.49/0.97 inference(scs_inference,[],[252,289,277,7,46,28,25,30])).
% 0.49/0.97 cnf(311,plain,
% 0.49/0.97 (~P4(f3(a1,a1),f3(a1,a1),a5)),
% 0.49/0.97 inference(scs_inference,[],[254,191,271,252,289,277,7,46,28,25,30,24,32])).
% 0.49/0.97 cnf(315,plain,
% 0.49/0.97 (~P2(f8(a4,a4),a4,a4)),
% 0.49/0.97 inference(scs_inference,[],[34,254,191,271,252,289,277,287,135,7,46,28,25,30,24,32,27,29])).
% 0.49/0.97 cnf(317,plain,
% 0.49/0.97 (P3(a4,a4)),
% 0.49/0.97 inference(scs_inference,[],[34,2,254,191,271,252,289,277,287,135,7,46,28,25,30,24,32,27,29,11])).
% 0.49/0.97 cnf(319,plain,
% 0.49/0.97 (~P2(f3(f3(a1,a1),f3(a1,a1)),f8(a4,a4),a5)),
% 0.49/0.98 inference(scs_inference,[],[34,2,254,269,191,271,252,289,277,287,135,7,46,28,25,30,24,32,27,29,11,31])).
% 0.49/0.98 cnf(329,plain,
% 0.49/0.98 (P2(f3(a2,a2),f8(a4,a4),f3(a2,a2))),
% 0.49/0.98 inference(scs_inference,[],[34,283,277,195,228,40,28,31,25])).
% 0.49/0.98 cnf(337,plain,
% 0.49/0.98 (~P2(a1,a4,a4)),
% 0.49/0.98 inference(scs_inference,[],[34,283,220,305,277,183,287,82,195,108,228,40,102,78,28,31,25,32,24,30,29])).
% 0.49/0.98 cnf(339,plain,
% 0.49/0.98 (P4(a1,f3(a5,a5),f3(a5,a5))),
% 0.49/0.98 inference(scs_inference,[],[34,283,220,305,291,277,183,287,82,195,108,228,40,102,78,28,31,25,32,24,30,29,27])).
% 0.49/0.98 cnf(343,plain,
% 0.49/0.98 (P2(f8(a4,a4),f8(a4,a4),f8(f8(a4,a4),f8(a4,a4)))),
% 0.49/0.98 inference(scs_inference,[],[34,283,220,86,305,291,277,183,287,82,195,108,228,40,102,78,28,31,25,32,24,30,29,27,12,20])).
% 0.49/0.98 cnf(354,plain,
% 0.49/0.98 (P2(f3(a4,a4),f3(a4,a4),f8(f3(a4,a4),f3(a4,a4)))),
% 0.49/0.98 inference(scs_inference,[],[88,12,20])).
% 0.49/0.98 cnf(362,plain,
% 0.49/0.98 (P4(a1,a4,a4)),
% 0.49/0.98 inference(scs_inference,[],[34,38,339,88,317,12,20,13,28,24,21])).
% 0.49/0.98 cnf(368,plain,
% 0.49/0.98 (~P2(f7(a5),f8(a2,a2),a5)),
% 0.49/0.98 inference(scs_inference,[],[34,38,319,339,88,275,317,256,216,108,118,12,20,13,28,24,21,25,29,30])).
% 0.49/0.98 cnf(374,plain,
% 0.49/0.98 (P2(f3(a4,a4),a1,f3(a1,a1))),
% 0.49/0.98 inference(scs_inference,[],[34,38,36,4,319,339,88,311,275,317,269,256,216,131,108,118,48,78,12,20,13,28,24,21,25,29,30,27,11,32])).
% 0.49/0.98 cnf(383,plain,
% 0.49/0.98 (P4(f3(a2,a2),f6(a1),f3(a2,a2))),
% 0.49/0.98 inference(scs_inference,[],[317,155,250,78,26,28])).
% 0.49/0.98 cnf(387,plain,
% 0.49/0.98 (P2(a1,f3(a4,a4),f3(a1,a1))),
% 0.49/0.98 inference(scs_inference,[],[244,374,317,155,250,78,26,28,24,25])).
% 0.49/0.98 cnf(391,plain,
% 0.49/0.98 (P4(a1,f3(a4,a4),f3(a4,a4))),
% 0.49/0.98 inference(scs_inference,[],[34,36,244,362,374,317,155,250,78,26,28,24,25,31,21])).
% 0.49/0.98 cnf(395,plain,
% 0.49/0.98 (P2(f3(a2,a2),f8(f8(a4,a4),f8(a4,a4)),f3(a2,a2))),
% 0.49/0.98 inference(scs_inference,[],[34,36,354,343,244,362,374,224,329,317,155,250,78,26,28,24,25,31,21,30,29])).
% 0.49/0.98 cnf(397,plain,
% 0.49/0.98 (~P4(f8(a1,a1),f8(a1,a1),a2)),
% 0.49/0.98 inference(scs_inference,[],[34,38,36,354,343,244,362,374,224,329,317,155,250,78,46,26,28,24,25,31,21,30,29,32])).
% 0.49/0.98 cnf(399,plain,
% 0.49/0.98 (~P4(a1,a4,f3(a1,a1))),
% 0.49/0.98 inference(scs_inference,[],[40,34,38,36,354,343,163,244,362,374,224,329,317,155,250,78,46,26,28,24,25,31,21,30,29,32,27])).
% 0.49/0.98 cnf(403,plain,
% 0.49/0.98 (P2(a4,f3(a5,a5),f3(a5,a5))),
% 0.49/0.98 inference(scs_inference,[],[40,34,38,36,354,343,163,199,244,362,374,224,329,317,155,250,78,46,26,28,24,25,31,21,30,29,32,27,10,16])).
% 0.49/0.98 cnf(405,plain,
% 0.49/0.98 (P4(f6(f3(a5,a5)),f3(a5,a5),a1)),
% 0.49/0.98 inference(scs_inference,[],[40,34,38,36,354,343,163,199,244,362,374,224,329,317,155,250,78,46,26,28,24,25,31,21,30,29,32,27,10,16,17])).
% 0.49/0.98 cnf(407,plain,
% 0.49/0.98 (P4(a1,f8(a5,a5),f8(a5,a5))),
% 0.49/0.98 inference(scs_inference,[],[40,34,38,36,354,343,163,199,201,244,362,374,224,329,317,155,250,78,46,26,28,24,25,31,21,30,29,32,27,10,16,17,15])).
% 0.49/0.98 cnf(409,plain,
% 0.49/0.98 (P4(f3(a5,a5),f3(a5,a5),f3(f3(a5,a5),f3(a5,a5)))),
% 0.49/0.98 inference(scs_inference,[],[40,34,38,36,354,343,163,199,201,244,362,374,224,329,317,155,250,78,46,26,28,24,25,31,21,30,29,32,27,10,16,17,15,19])).
% 0.49/0.98 cnf(421,plain,
% 0.49/0.98 (~P4(f3(a5,a5),a2,f3(a5,a5))),
% 0.49/0.98 inference(scs_inference,[],[35,214,407,405,7,26,19,28])).
% 0.49/0.98 cnf(427,plain,
% 0.49/0.98 (~P2(a4,f8(a4,a4),a4)),
% 0.49/0.98 inference(scs_inference,[],[35,383,214,407,405,397,315,307,96,7,26,19,28,24,31,25])).
% 0.49/0.98 cnf(429,plain,
% 0.49/0.98 (~P2(a2,f8(a4,a4),a2)),
% 0.49/0.98 inference(scs_inference,[],[35,383,214,407,405,397,315,307,44,96,7,26,19,28,24,31,25,30])).
% 0.49/0.98 cnf(431,plain,
% 0.49/0.98 (~P4(a1,a4,a1)),
% 0.49/0.98 inference(scs_inference,[],[35,6,38,383,214,407,405,397,315,307,362,44,96,7,26,19,28,24,31,25,30,27])).
% 0.49/0.98 cnf(435,plain,
% 0.49/0.98 (P2(a4,f3(a1,a1),f3(a1,a1))),
% 0.49/0.98 inference(scs_inference,[],[35,6,38,36,383,214,391,387,407,405,397,315,281,307,94,362,44,96,7,46,26,19,28,24,31,25,30,27,32,29])).
% 0.49/0.98 cnf(437,plain,
% 0.49/0.98 (P1(f7(a4))),
% 0.49/0.98 inference(scs_inference,[],[35,6,38,36,383,214,391,387,407,405,397,315,281,307,94,362,44,96,2,7,46,26,19,28,24,31,25,30,27,32,29,18])).
% 0.49/0.98 cnf(439,plain,
% 0.49/0.98 (P3(f8(a2,a2),f8(a2,a2))),
% 0.49/0.98 inference(scs_inference,[],[35,6,38,36,383,214,218,391,387,407,405,397,315,281,307,94,362,44,96,2,7,46,26,19,28,24,31,25,30,27,32,29,18,11])).
% 0.49/0.98 cnf(441,plain,
% 0.49/0.98 (P2(f7(a4),a4,a4)),
% 0.49/0.98 inference(scs_inference,[],[35,6,38,36,383,214,218,391,387,407,405,397,315,281,307,94,362,44,96,2,7,46,26,19,28,24,31,25,30,27,32,29,18,11,207])).
% 0.49/0.98 cnf(446,plain,
% 0.49/0.98 (~P2(f6(a1),f8(a4,a4),a2)),
% 0.49/0.98 inference(scs_inference,[],[40,6,34,38,157,28,31])).
% 0.49/0.98 cnf(452,plain,
% 0.49/0.98 (P4(a1,f8(a2,a2),f8(a2,a2))),
% 0.49/0.98 inference(scs_inference,[],[40,6,34,38,439,435,421,157,76,28,31,30,24,21])).
% 0.49/0.98 cnf(454,plain,
% 0.49/0.98 (~P4(a1,f7(a4),a1)),
% 0.49/0.98 inference(scs_inference,[],[40,6,34,38,439,435,421,441,337,362,157,76,277,28,31,30,24,21,32])).
% 0.49/0.98 cnf(460,plain,
% 0.49/0.98 (P4(f6(a1),f3(a5,a5),f3(a5,a5))),
% 0.49/0.98 inference(scs_inference,[],[40,6,34,38,395,439,435,421,441,337,339,362,157,76,277,28,31,30,24,21,32,25,29,27])).
% 0.49/0.98 cnf(484,plain,
% 0.49/0.98 (P4(a1,f8(a4,a4),a1)),
% 0.49/0.98 inference(scs_inference,[],[42,40,38,409,452,368,403,446,427,399,189,387,287,82,86,362,78,28,31,25,30,24,27,32,29,12,22])).
% 0.49/0.98 cnf(541,plain,
% 0.49/0.98 ($false),
% 0.49/0.98 inference(scs_inference,[],[460,484,429,431,437,454,175,18,28,24,25]),
% 0.49/0.98 ['proof']).
% 0.49/0.98 % SZS output end Proof
% 0.49/0.98 % Total time :0.320000s
%------------------------------------------------------------------------------