TSTP Solution File: FLD023-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD023-1 : 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 : n010.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 22:26:34 EDT 2023
% Result : Unsatisfiable 13.13s 13.24s
% Output : CNFRefutation 13.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.14 % Problem : FLD023-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.00/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.39 % Computer : n010.cluster.edu
% 0.13/0.39 % Model : x86_64 x86_64
% 0.13/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.39 % Memory : 8042.1875MB
% 0.13/0.39 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.39 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Mon Aug 28 00:04:49 EDT 2023
% 0.13/0.40 % CPUTime :
% 0.24/0.65 start to proof:theBenchmark
% 13.13/13.23 %-------------------------------------------
% 13.13/13.23 % File :CSE---1.6
% 13.13/13.23 % Problem :theBenchmark
% 13.13/13.23 % Transform :cnf
% 13.13/13.23 % Format :tptp:raw
% 13.13/13.23 % Command :java -jar mcs_scs.jar %d %s
% 13.13/13.23
% 13.13/13.23 % Result :Theorem 12.510000s
% 13.13/13.23 % Output :CNFRefutation 12.510000s
% 13.13/13.23 %-------------------------------------------
% 13.13/13.24 %--------------------------------------------------------------------------
% 13.13/13.24 % File : FLD023-1 : TPTP v8.1.2. Bugfixed v2.1.0.
% 13.13/13.24 % Domain : Field Theory (Ordered fields)
% 13.13/13.24 % Problem : Side Change of a term in an equation, part 1
% 13.13/13.24 % Version : [Dra93] axioms : Especial.
% 13.13/13.24 % Theorem formulation : Functional with glxx axiom set.
% 13.13/13.24 % English :
% 13.13/13.24
% 13.13/13.24 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 13.13/13.24 % Source : [Dra93]
% 13.13/13.24 % Names :
% 13.13/13.24
% 13.13/13.24 % Status : Unsatisfiable
% 13.13/13.24 % Rating : 0.00 v7.5.0, 0.17 v7.1.0, 0.33 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.11 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.30 v5.2.0, 0.10 v5.1.0, 0.18 v5.0.0, 0.36 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.29 v3.4.0, 0.25 v3.3.0, 0.33 v2.7.0, 0.12 v2.6.0, 0.33 v2.5.0, 0.00 v2.4.0, 0.20 v2.3.0, 0.33 v2.2.1, 0.33 v2.1.0
% 13.13/13.24 % Syntax : Number of clauses : 31 ( 7 unt; 3 nHn; 31 RR)
% 13.13/13.24 % Number of literals : 77 ( 0 equ; 45 neg)
% 13.13/13.24 % Maximal clause size : 4 ( 2 avg)
% 13.13/13.24 % Maximal term depth : 3 ( 1 avg)
% 13.13/13.24 % Number of predicates : 3 ( 3 usr; 0 prp; 1-2 aty)
% 13.13/13.24 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 13.13/13.24 % Number of variables : 50 ( 0 sgn)
% 13.13/13.24 % SPC : CNF_UNS_RFO_NEQ_NHN
% 13.13/13.24
% 13.13/13.24 % Comments :
% 13.13/13.24 % Bugfixes : v2.1.0 - Bugfix in FLD001-0.ax
% 13.13/13.24 %--------------------------------------------------------------------------
% 13.13/13.24 include('Axioms/FLD001-0.ax').
% 13.13/13.24 %--------------------------------------------------------------------------
% 13.13/13.24 cnf(a_is_defined,hypothesis,
% 13.13/13.24 defined(a) ).
% 13.13/13.24
% 13.13/13.24 cnf(b_is_defined,hypothesis,
% 13.13/13.24 defined(b) ).
% 13.13/13.24
% 13.13/13.24 cnf(a_equals_b_3,negated_conjecture,
% 13.13/13.24 equalish(a,b) ).
% 13.13/13.24
% 13.13/13.24 cnf(additive_identity_not_equal_to_add_4,negated_conjecture,
% 13.13/13.24 ~ equalish(additive_identity,add(b,additive_inverse(a))) ).
% 13.13/13.24
% 13.13/13.24 %--------------------------------------------------------------------------
% 13.13/13.24 %-------------------------------------------
% 13.13/13.24 % Proof found
% 13.13/13.24 % SZS status Theorem for theBenchmark
% 13.13/13.24 % SZS output start Proof
% 13.13/13.25 %ClaNum:31(EqnAxiom:0)
% 13.13/13.25 %VarNum:128(SingletonVarNum:50)
% 13.13/13.25 %MaxLitNum:4
% 13.13/13.25 %MaxfuncDepth:2
% 13.13/13.25 %SharedTerms:13
% 13.13/13.25 %goalClause: 5 7
% 13.13/13.25 %singleGoalClaCount:2
% 13.13/13.25 [1]P1(a1)
% 13.13/13.25 [2]P1(a4)
% 13.13/13.25 [3]P1(a2)
% 13.13/13.25 [4]P1(a5)
% 13.13/13.25 [5]P2(a2,a5)
% 13.13/13.25 [6]~P2(a1,a4)
% 13.13/13.25 [7]~P2(a1,f3(a5,f6(a2)))
% 13.13/13.25 [9]~P1(x91)+P2(x91,x91)
% 13.13/13.25 [8]~P1(x81)+P1(f6(x81))
% 13.13/13.25 [13]~P1(x131)+P2(f3(a1,x131),x131)
% 13.13/13.25 [14]~P1(x141)+P2(f8(a4,x141),x141)
% 13.13/13.25 [17]~P1(x171)+P2(f3(x171,f6(x171)),a1)
% 13.13/13.25 [11]~P2(x112,x111)+P2(x111,x112)
% 13.13/13.25 [10]~P1(x101)+P2(x101,a1)+P1(f7(x101))
% 13.13/13.25 [22]~P1(x221)+P2(x221,a1)+P2(f8(x221,f7(x221)),a4)
% 13.13/13.25 [19]~P3(x192,x191)+~P3(x191,x192)+P2(x191,x192)
% 13.13/13.25 [15]~P1(x152)+~P1(x151)+P1(f3(x151,x152))
% 13.13/13.25 [16]~P1(x162)+~P1(x161)+P1(f8(x161,x162))
% 13.13/13.25 [23]~P3(a1,x232)+~P3(a1,x231)+P3(a1,f8(x231,x232))
% 13.13/13.25 [24]~P1(x242)+~P1(x241)+P2(f3(x241,x242),f3(x242,x241))
% 13.13/13.25 [25]~P1(x252)+~P1(x251)+P2(f8(x251,x252),f8(x252,x251))
% 13.13/13.25 [18]~P2(x181,x183)+P2(x181,x182)+~P2(x183,x182)
% 13.13/13.25 [20]~P3(x203,x202)+P3(x201,x202)+~P2(x203,x201)
% 13.13/13.25 [21]~P3(x211,x213)+P3(x211,x212)+~P3(x213,x212)
% 13.13/13.25 [26]~P1(x262)+~P2(x261,x263)+P2(f3(x261,x262),f3(x263,x262))
% 13.13/13.25 [27]~P1(x272)+~P2(x271,x273)+P2(f8(x271,x272),f8(x273,x272))
% 13.13/13.25 [28]~P1(x282)+~P3(x281,x283)+P3(f3(x281,x282),f3(x283,x282))
% 13.13/13.25 [12]P3(x122,x121)+~P1(x121)+~P1(x122)+P3(x121,x122)
% 13.13/13.25 [29]~P1(x293)+~P1(x292)+~P1(x291)+P2(f3(x291,f3(x292,x293)),f3(f3(x291,x292),x293))
% 13.13/13.25 [30]~P1(x303)+~P1(x302)+~P1(x301)+P2(f8(x301,f8(x302,x303)),f8(f8(x301,x302),x303))
% 13.13/13.25 [31]~P1(x313)+~P1(x312)+~P1(x311)+P2(f3(f8(x311,x312),f8(x313,x312)),f8(f3(x311,x313),x312))
% 13.13/13.25 %EqnAxiom
% 13.13/13.25
% 13.13/13.25 %-------------------------------------------
% 13.13/13.26 cnf(32,plain,
% 13.13/13.26 (~P2(a4,a1)),
% 13.13/13.26 inference(scs_inference,[],[6,11])).
% 13.13/13.26 cnf(33,plain,
% 13.13/13.26 (P3(a1,a1)),
% 13.13/13.26 inference(scs_inference,[],[1,6,11,12])).
% 13.13/13.26 cnf(34,plain,
% 13.13/13.26 (P2(a1,a1)),
% 13.13/13.26 inference(scs_inference,[],[1,6,11,12,9])).
% 13.13/13.26 cnf(36,plain,
% 13.13/13.26 (P2(f8(a4,a1),a1)),
% 13.13/13.26 inference(scs_inference,[],[1,6,11,12,9,14])).
% 13.13/13.26 cnf(38,plain,
% 13.13/13.26 (P2(f3(a1,a1),a1)),
% 13.13/13.26 inference(scs_inference,[],[1,6,11,12,9,14,13])).
% 13.13/13.26 cnf(40,plain,
% 13.13/13.26 (P1(f6(a1))),
% 13.13/13.26 inference(scs_inference,[],[1,6,11,12,9,14,13,8])).
% 13.13/13.26 cnf(42,plain,
% 13.13/13.26 (P2(f3(a1,f6(a1)),a1)),
% 13.13/13.26 inference(scs_inference,[],[1,6,11,12,9,14,13,8,17])).
% 13.13/13.26 cnf(46,plain,
% 13.13/13.26 (P3(a1,f8(a1,a1))),
% 13.13/13.26 inference(scs_inference,[],[1,6,11,12,9,14,13,8,17,19,23])).
% 13.13/13.26 cnf(48,plain,
% 13.13/13.26 (P1(f8(a1,a1))),
% 13.13/13.26 inference(scs_inference,[],[1,6,11,12,9,14,13,8,17,19,23,16])).
% 13.13/13.26 cnf(50,plain,
% 13.13/13.26 (P1(f3(a1,a1))),
% 13.13/13.26 inference(scs_inference,[],[1,6,11,12,9,14,13,8,17,19,23,16,15])).
% 13.13/13.26 cnf(52,plain,
% 13.13/13.26 (P1(f7(a4))),
% 13.13/13.26 inference(scs_inference,[],[1,2,6,11,12,9,14,13,8,17,19,23,16,15,10])).
% 13.13/13.26 cnf(54,plain,
% 13.13/13.26 (P3(f3(a1,a1),f3(a1,a1))),
% 13.13/13.26 inference(scs_inference,[],[1,2,6,11,12,9,14,13,8,17,19,23,16,15,10,28])).
% 13.13/13.26 cnf(56,plain,
% 13.13/13.26 (P2(f8(a2,a1),f8(a5,a1))),
% 13.13/13.26 inference(scs_inference,[],[5,1,2,6,11,12,9,14,13,8,17,19,23,16,15,10,28,27])).
% 13.13/13.26 cnf(58,plain,
% 13.13/13.26 (P2(f3(a2,a1),f3(a5,a1))),
% 13.13/13.26 inference(scs_inference,[],[5,1,2,6,11,12,9,14,13,8,17,19,23,16,15,10,28,27,26])).
% 13.13/13.26 cnf(60,plain,
% 13.13/13.26 (P2(f8(a1,a1),f8(a1,a1))),
% 13.13/13.26 inference(scs_inference,[],[5,1,2,6,11,12,9,14,13,8,17,19,23,16,15,10,28,27,26,25])).
% 13.13/13.26 cnf(62,plain,
% 13.13/13.26 (P2(f3(a1,a1),f3(a1,a1))),
% 13.13/13.26 inference(scs_inference,[],[5,1,2,6,11,12,9,14,13,8,17,19,23,16,15,10,28,27,26,25,24])).
% 13.13/13.26 cnf(64,plain,
% 13.13/13.26 (P2(f8(a4,f7(a4)),a4)),
% 13.13/13.26 inference(scs_inference,[],[5,1,2,6,11,12,9,14,13,8,17,19,23,16,15,10,28,27,26,25,24,22])).
% 13.13/13.26 cnf(66,plain,
% 13.13/13.26 (P2(f8(a1,f8(a1,a1)),f8(f8(a1,a1),a1))),
% 13.13/13.26 inference(scs_inference,[],[5,1,2,6,11,12,9,14,13,8,17,19,23,16,15,10,28,27,26,25,24,22,30])).
% 13.13/13.26 cnf(68,plain,
% 13.13/13.26 (P2(f3(a1,f3(a1,a1)),f3(f3(a1,a1),a1))),
% 13.13/13.26 inference(scs_inference,[],[5,1,2,6,11,12,9,14,13,8,17,19,23,16,15,10,28,27,26,25,24,22,30,29])).
% 13.13/13.26 cnf(70,plain,
% 13.13/13.26 (P2(f3(f8(a1,a1),f8(a1,a1)),f8(f3(a1,a1),a1))),
% 13.13/13.26 inference(scs_inference,[],[5,1,2,6,11,12,9,14,13,8,17,19,23,16,15,10,28,27,26,25,24,22,30,29,31])).
% 13.13/13.26 cnf(76,plain,
% 13.13/13.26 (~P2(a4,f3(a1,f6(a1)))),
% 13.13/13.26 inference(scs_inference,[],[42,32,18])).
% 13.13/13.26 cnf(78,plain,
% 13.13/13.26 (P3(a1,f8(f8(a1,a1),f8(a1,a1)))),
% 13.13/13.26 inference(scs_inference,[],[42,46,32,18,23])).
% 13.13/13.26 cnf(86,plain,
% 13.13/13.26 (P2(f3(f8(a2,a2),f8(a2,a2)),f8(f3(a2,a2),a2))),
% 13.13/13.26 inference(scs_inference,[],[3,54,42,46,32,18,23,28,24,29,31])).
% 13.13/13.26 cnf(88,plain,
% 13.13/13.26 (P2(a5,a2)),
% 13.13/13.26 inference(scs_inference,[],[5,3,54,42,46,32,18,23,28,24,29,31,11])).
% 13.13/13.26 cnf(90,plain,
% 13.13/13.26 (P1(f8(a2,a2))),
% 13.13/13.26 inference(scs_inference,[],[5,3,54,42,46,32,18,23,28,24,29,31,11,16])).
% 13.13/13.26 cnf(92,plain,
% 13.13/13.26 (P1(f3(a2,a2))),
% 13.13/13.26 inference(scs_inference,[],[5,3,54,42,46,32,18,23,28,24,29,31,11,16,15])).
% 13.13/13.27 cnf(94,plain,
% 13.13/13.27 (P2(f8(a2,a2),f8(a5,a2))),
% 13.13/13.27 inference(scs_inference,[],[5,3,54,42,46,32,18,23,28,24,29,31,11,16,15,27])).
% 13.13/13.27 cnf(96,plain,
% 13.13/13.27 (P2(f3(a2,a2),f3(a5,a2))),
% 13.13/13.27 inference(scs_inference,[],[5,3,54,42,46,32,18,23,28,24,29,31,11,16,15,27,26])).
% 13.13/13.27 cnf(98,plain,
% 13.13/13.27 (P2(f8(a2,a2),f8(a2,a2))),
% 13.13/13.27 inference(scs_inference,[],[5,3,54,42,46,32,18,23,28,24,29,31,11,16,15,27,26,25])).
% 13.13/13.27 cnf(102,plain,
% 13.13/13.27 (P3(a1,f3(a1,a1))),
% 13.13/13.27 inference(scs_inference,[],[5,3,54,42,38,46,32,18,23,28,24,29,31,11,16,15,27,26,25,30,20])).
% 13.13/13.27 cnf(103,plain,
% 13.13/13.27 (~P2(x1031,x1032)+~P3(x1031,x1033)+P3(x1032,x1033)),
% 13.13/13.27 inference(rename_variables,[],[20])).
% 13.13/13.27 cnf(104,plain,
% 13.13/13.27 (~P3(f8(a1,a1),x1041)+P3(a1,x1041)),
% 13.13/13.27 inference(scs_inference,[],[5,3,54,42,38,46,32,18,23,28,24,29,31,11,16,15,27,26,25,30,20,21])).
% 13.13/13.27 cnf(112,plain,
% 13.13/13.27 (P3(a5,x1121)+~P3(a2,x1121)),
% 13.13/13.27 inference(scs_inference,[],[5,3,54,42,38,46,32,18,23,28,24,29,31,11,16,15,27,26,25,30,20,21,19,10,22,103])).
% 13.13/13.27 cnf(116,plain,
% 13.13/13.27 (~P2(f3(a5,f6(a2)),a1)),
% 13.13/13.27 inference(scs_inference,[],[7,4,29,11])).
% 13.13/13.27 cnf(120,plain,
% 13.13/13.27 (P2(f8(a5,f8(a5,a5)),f8(f8(a5,a5),a5))),
% 13.13/13.27 inference(scs_inference,[],[7,4,88,5,29,11,18,30])).
% 13.13/13.27 cnf(122,plain,
% 13.13/13.27 (P2(f3(f8(a5,a5),f8(a5,a5)),f8(f3(a5,a5),a5))),
% 13.13/13.27 inference(scs_inference,[],[7,4,88,5,29,11,18,30,31])).
% 13.13/13.27 cnf(128,plain,
% 13.13/13.27 (P2(f8(f3(a1,a1),a1),f3(f8(a1,a1),f8(a1,a1)))),
% 13.13/13.27 inference(scs_inference,[],[70,11])).
% 13.13/13.27 cnf(130,plain,
% 13.13/13.27 (~P2(a1,f8(a4,f7(a4)))),
% 13.13/13.27 inference(scs_inference,[],[6,70,64,11,18])).
% 13.13/13.27 cnf(137,plain,
% 13.13/13.27 (~P2(f8(a4,f7(a4)),a1)),
% 13.13/13.27 inference(scs_inference,[],[130,11])).
% 13.13/13.27 cnf(141,plain,
% 13.13/13.27 (P2(f8(a4,a4),a4)),
% 13.13/13.27 inference(scs_inference,[],[2,128,130,70,11,18,14])).
% 13.13/13.27 cnf(145,plain,
% 13.13/13.27 (P2(f3(a4,f6(a4)),a1)),
% 13.13/13.27 inference(scs_inference,[],[2,128,130,70,11,18,14,13,17])).
% 13.13/13.27 cnf(147,plain,
% 13.13/13.27 (P1(f6(a4))),
% 13.13/13.27 inference(scs_inference,[],[2,128,130,70,11,18,14,13,17,8])).
% 13.13/13.27 cnf(156,plain,
% 13.13/13.27 (P2(a1,f8(a4,a1))),
% 13.13/13.27 inference(scs_inference,[],[36,11])).
% 13.13/13.27 cnf(160,plain,
% 13.13/13.27 (P3(a1,f8(f3(a1,a1),f3(a1,a1)))),
% 13.13/13.27 inference(scs_inference,[],[4,36,102,11,24,23])).
% 13.13/13.27 cnf(162,plain,
% 13.13/13.27 (P1(f8(a5,a5))),
% 13.13/13.27 inference(scs_inference,[],[4,36,102,11,24,23,16])).
% 13.13/13.27 cnf(164,plain,
% 13.13/13.27 (P1(f3(a5,a5))),
% 13.13/13.27 inference(scs_inference,[],[4,36,102,11,24,23,16,15])).
% 13.13/13.27 cnf(166,plain,
% 13.13/13.27 (P3(f3(a1,a5),f3(a1,a5))),
% 13.13/13.27 inference(scs_inference,[],[33,4,36,102,11,24,23,16,15,28])).
% 13.13/13.27 cnf(185,plain,
% 13.13/13.27 (P1(f8(a4,a4))),
% 13.13/13.27 inference(scs_inference,[],[2,24,16])).
% 13.13/13.27 cnf(187,plain,
% 13.13/13.27 (P1(f3(a4,a4))),
% 13.13/13.27 inference(scs_inference,[],[2,24,16,15])).
% 13.13/13.27 cnf(197,plain,
% 13.13/13.27 (~P2(a1,f8(a4,a4))),
% 13.13/13.27 inference(scs_inference,[],[2,34,33,6,141,24,16,15,25,27,26,28,18])).
% 13.13/13.27 cnf(201,plain,
% 13.13/13.27 (P2(f8(a4,f8(a4,a4)),f8(f8(a4,a4),a4))),
% 13.13/13.27 inference(scs_inference,[],[2,34,33,6,76,141,24,16,15,25,27,26,28,18,11,30])).
% 13.13/13.27 cnf(203,plain,
% 13.13/13.27 (P2(f3(a4,f3(a4,a4)),f3(f3(a4,a4),a4))),
% 13.13/13.27 inference(scs_inference,[],[2,34,33,6,76,141,24,16,15,25,27,26,28,18,11,30,29])).
% 13.13/13.27 cnf(205,plain,
% 13.13/13.27 (P2(f3(f8(a4,a4),f8(a4,a4)),f8(f3(a4,a4),a4))),
% 13.13/13.27 inference(scs_inference,[],[2,34,33,6,76,141,24,16,15,25,27,26,28,18,11,30,29,31])).
% 13.13/13.27 cnf(215,plain,
% 13.13/13.27 (~P2(a4,f3(a4,f6(a4)))),
% 13.13/13.27 inference(scs_inference,[],[32,166,145,19,18])).
% 13.13/13.27 cnf(217,plain,
% 13.13/13.27 (P2(f8(f3(a4,a4),a4),f3(f8(a4,a4),f8(a4,a4)))),
% 13.13/13.27 inference(scs_inference,[],[32,166,205,145,19,18,11])).
% 13.13/13.27 cnf(219,plain,
% 13.13/13.27 (P3(a2,a2)),
% 13.13/13.27 inference(scs_inference,[],[32,3,166,205,145,19,18,11,12])).
% 13.13/13.27 cnf(227,plain,
% 13.13/13.27 (~P2(f8(a4,a4),a1)),
% 13.13/13.27 inference(scs_inference,[],[217,219,197,205,112,19,18,11])).
% 13.13/13.27 cnf(231,plain,
% 13.13/13.27 (P2(f3(a2,f6(a2)),a1)),
% 13.13/13.27 inference(scs_inference,[],[3,217,219,197,205,112,19,18,11,13,17])).
% 13.13/13.27 cnf(237,plain,
% 13.13/13.27 (P1(f6(a2))),
% 13.13/13.27 inference(scs_inference,[],[3,217,219,40,197,205,112,19,18,11,13,17,9,14,8])).
% 13.13/13.27 cnf(239,plain,
% 13.13/13.27 (P2(f8(f8(a4,a4),f7(f8(a4,a4))),a4)),
% 13.13/13.27 inference(scs_inference,[],[3,217,185,219,40,197,205,112,19,18,11,13,17,9,14,8,22])).
% 13.13/13.27 cnf(243,plain,
% 13.13/13.27 (~P3(f8(f3(a1,a1),f3(a1,a1)),x2431)+P3(a1,f8(x2431,a1))),
% 13.13/13.27 inference(scs_inference,[],[3,33,217,185,219,40,197,160,205,112,19,18,11,13,17,9,14,8,22,21,23])).
% 13.13/13.27 cnf(245,plain,
% 13.13/13.27 (~P2(a4,f8(a4,a1))),
% 13.13/13.27 inference(scs_inference,[],[36,32,18])).
% 13.13/13.27 cnf(247,plain,
% 13.13/13.27 (P2(f8(f3(a5,a5),a5),f3(f8(a5,a5),f8(a5,a5)))),
% 13.13/13.27 inference(scs_inference,[],[36,32,122,18,11])).
% 13.13/13.27 cnf(257,plain,
% 13.13/13.27 (P3(f8(a4,a1),a1)),
% 13.13/13.27 inference(scs_inference,[],[33,156,227,185,10,20])).
% 13.13/13.27 cnf(263,plain,
% 13.13/13.27 (P1(f8(f3(a2,a2),f3(a2,a2)))),
% 13.13/13.27 inference(scs_inference,[],[33,247,92,156,245,122,227,185,10,20,11,18,16])).
% 13.13/13.27 cnf(273,plain,
% 13.13/13.27 (P3(f3(a1,f3(a2,a2)),f3(a1,f3(a2,a2)))),
% 13.13/13.27 inference(scs_inference,[],[4,38,33,247,92,156,245,122,227,185,10,20,11,18,16,25,24,27,15,28])).
% 13.13/13.27 cnf(296,plain,
% 13.13/13.27 (P2(f3(f8(a4,a1),a5),f3(a1,a5))),
% 13.13/13.27 inference(scs_inference,[],[4,34,36,164,257,16,24,27,15,25,28,26])).
% 13.13/13.27 cnf(302,plain,
% 13.13/13.27 (P2(a1,f3(a1,a1))),
% 13.13/13.27 inference(scs_inference,[],[4,34,36,38,263,164,273,257,16,24,27,15,25,28,26,12,19,11])).
% 13.13/13.27 cnf(306,plain,
% 13.13/13.27 (~P2(f3(a1,a1),a4)),
% 13.13/13.27 inference(scs_inference,[],[4,34,36,38,6,263,164,273,257,16,24,27,15,25,28,26,12,19,11,10,18])).
% 13.13/13.27 cnf(308,plain,
% 13.13/13.27 (~P2(a1,f8(f8(a4,a4),f7(f8(a4,a4))))),
% 13.13/13.27 inference(scs_inference,[],[6,239,18])).
% 13.13/13.27 cnf(312,plain,
% 13.13/13.27 (P2(f3(a1,f6(a1)),f6(a1))),
% 13.13/13.27 inference(scs_inference,[],[6,40,306,239,18,11,13])).
% 13.13/13.27 cnf(314,plain,
% 13.13/13.27 (P2(f8(a4,f6(a1)),f6(a1))),
% 13.13/13.27 inference(scs_inference,[],[6,40,306,239,18,11,13,14])).
% 13.13/13.27 cnf(316,plain,
% 13.13/13.27 (P2(f3(f6(a1),f6(f6(a1))),a1)),
% 13.13/13.27 inference(scs_inference,[],[6,40,306,239,18,11,13,14,17])).
% 13.13/13.27 cnf(326,plain,
% 13.13/13.27 (~P2(a4,f3(f6(a1),f6(f6(a1))))),
% 13.13/13.27 inference(scs_inference,[],[32,316,18])).
% 13.13/13.27 cnf(339,plain,
% 13.13/13.27 (~P2(f8(f8(a4,a4),f7(f8(a4,a4))),a1)),
% 13.13/13.27 inference(scs_inference,[],[308,11])).
% 13.13/13.27 cnf(346,plain,
% 13.13/13.27 (~P2(f3(a5,f6(a2)),f3(a1,f6(a1)))),
% 13.13/13.27 inference(scs_inference,[],[42,116,18])).
% 13.13/13.27 cnf(348,plain,
% 13.13/13.27 (P2(a1,f3(a1,f6(a1)))),
% 13.13/13.27 inference(scs_inference,[],[42,116,18,11])).
% 13.13/13.27 cnf(358,plain,
% 13.13/13.27 (P2(f8(f3(a1,f6(a1)),f6(a1)),f8(a1,f6(a1)))),
% 13.13/13.27 inference(scs_inference,[],[42,40,116,18,11,24,16,15,25,27])).
% 13.13/13.27 cnf(360,plain,
% 13.13/13.27 (P2(f3(f3(a1,f6(a1)),f6(a1)),f3(a1,f6(a1)))),
% 13.13/13.27 inference(scs_inference,[],[42,40,116,18,11,24,16,15,25,27,26])).
% 13.13/13.27 cnf(362,plain,
% 13.13/13.27 (P3(f3(a1,f6(a1)),f3(a1,f6(a1)))),
% 13.13/13.27 inference(scs_inference,[],[42,40,33,116,18,11,24,16,15,25,27,26,28])).
% 13.13/13.27 cnf(383,plain,
% 13.13/13.27 (P3(a1,f3(a1,f6(a1)))),
% 13.13/13.27 inference(scs_inference,[],[34,42,40,362,162,90,16,15,24,27,25,20])).
% 13.13/13.27 cnf(387,plain,
% 13.13/13.27 (P3(f3(a1,f6(a1)),f3(f8(a1,a1),f6(a1)))),
% 13.13/13.27 inference(scs_inference,[],[46,34,42,40,362,162,90,16,15,24,27,25,20,26,28])).
% 13.13/13.27 cnf(389,plain,
% 13.13/13.27 (~P2(f3(a1,f6(a1)),f3(a5,f6(a2)))),
% 13.13/13.27 inference(scs_inference,[],[46,34,42,40,362,162,90,346,16,15,24,27,25,20,26,28,11])).
% 13.13/13.27 cnf(393,plain,
% 13.13/13.27 (P2(f8(a4,f8(a5,a5)),f8(a5,a5))),
% 13.13/13.27 inference(scs_inference,[],[46,34,42,40,362,162,360,90,346,16,15,24,27,25,20,26,28,11,18,14])).
% 13.13/13.27 cnf(423,plain,
% 13.13/13.27 (~P2(f8(f8(a4,a4),f7(f8(a4,a4))),f8(a4,a1))),
% 13.13/13.27 inference(scs_inference,[],[36,387,389,326,339,383,21,11,19,18])).
% 13.13/13.27 cnf(428,plain,
% 13.13/13.27 (P2(f3(f3(a4,a4),a4),f3(a4,f3(a4,a4)))),
% 13.13/13.27 inference(scs_inference,[],[203,11])).
% 13.13/13.27 cnf(442,plain,
% 13.13/13.27 (~P2(f3(a4,f6(a4)),a4)),
% 13.13/13.27 inference(scs_inference,[],[46,215,257,21,11])).
% 13.13/13.27 cnf(444,plain,
% 13.13/13.27 (~P2(f3(a1,a1),f8(a4,f7(a4)))),
% 13.13/13.27 inference(scs_inference,[],[46,302,215,130,257,21,11,18])).
% 13.13/13.27 cnf(446,plain,
% 13.13/13.27 (P2(f3(a1,f3(a1,a1)),f3(a1,a1))),
% 13.13/13.27 inference(scs_inference,[],[50,46,302,215,130,257,21,11,18,13])).
% 13.13/13.27 cnf(448,plain,
% 13.13/13.27 (P2(f3(f3(a1,a1),f6(f3(a1,a1))),a1)),
% 13.13/13.27 inference(scs_inference,[],[50,46,302,215,130,257,21,11,18,13,17])).
% 13.13/13.27 cnf(450,plain,
% 13.13/13.27 (P2(f8(a4,f3(a1,a1)),f3(a1,a1))),
% 13.13/13.27 inference(scs_inference,[],[50,46,302,215,130,257,21,11,18,13,17,14])).
% 13.13/13.27 cnf(452,plain,
% 13.13/13.27 (P1(f6(f3(a1,a1)))),
% 13.13/13.27 inference(scs_inference,[],[50,46,302,215,130,257,21,11,18,13,17,14,8])).
% 13.13/13.27 cnf(460,plain,
% 13.13/13.27 (P1(f8(f3(a1,a1),f3(a1,a1)))),
% 13.13/13.27 inference(scs_inference,[],[36,50,46,302,215,52,130,257,21,11,18,13,17,14,8,9,15,27,16])).
% 13.13/13.27 cnf(466,plain,
% 13.13/13.27 (P2(f3(f8(a4,a1),f3(a1,a1)),f3(a1,f3(a1,a1)))),
% 13.13/13.27 inference(scs_inference,[],[36,50,46,302,215,52,130,257,21,11,18,13,17,14,8,9,15,27,16,25,24,26])).
% 13.13/13.27 cnf(477,plain,
% 13.13/13.27 (P1(f3(f8(a1,a1),f8(a1,a1)))),
% 13.13/13.27 inference(scs_inference,[],[48,15])).
% 13.13/13.27 cnf(483,plain,
% 13.13/13.27 (P2(f8(f8(a4,a1),f8(a1,a1)),f8(a1,f8(a1,a1)))),
% 13.13/13.27 inference(scs_inference,[],[36,48,187,15,25,24,27])).
% 13.13/13.27 cnf(487,plain,
% 13.13/13.27 (P2(f3(f8(a4,a1),f8(a1,a1)),f3(a1,f8(a1,a1)))),
% 13.13/13.27 inference(scs_inference,[],[36,48,187,15,25,24,27,16,26])).
% 13.13/13.27 cnf(489,plain,
% 13.13/13.27 (P3(f3(a1,f8(a1,a1)),f3(f8(a1,a1),f8(a1,a1)))),
% 13.13/13.27 inference(scs_inference,[],[36,48,46,187,15,25,24,27,16,26,28])).
% 13.13/13.27 cnf(491,plain,
% 13.13/13.27 (P2(f3(a1,a1),f3(a1,f3(a1,a1)))),
% 13.13/13.27 inference(scs_inference,[],[36,48,46,446,187,15,25,24,27,16,26,28,11])).
% 13.13/13.27 cnf(503,plain,
% 13.13/13.27 (~P2(f8(a4,f7(a4)),f3(a1,a1))),
% 13.13/13.27 inference(scs_inference,[],[444,11])).
% 13.13/13.27 cnf(505,plain,
% 13.13/13.27 (~P2(f3(a1,f3(a1,a1)),f8(a4,f7(a4)))),
% 13.13/13.27 inference(scs_inference,[],[491,444,11,18])).
% 13.13/13.27 cnf(516,plain,
% 13.13/13.27 (P3(f3(a1,f6(a1)),f8(a1,a1))),
% 13.13/13.27 inference(scs_inference,[],[46,348,20])).
% 13.13/13.27 cnf(518,plain,
% 13.13/13.27 (P2(f8(f8(a1,a1),a1),f8(a1,f8(a1,a1)))),
% 13.13/13.27 inference(scs_inference,[],[46,66,348,20,11])).
% 13.13/13.27 cnf(520,plain,
% 13.13/13.27 (~P2(f8(f8(a4,a4),f7(f8(a4,a4))),f3(a1,a1))),
% 13.13/13.27 inference(scs_inference,[],[38,46,66,348,339,20,11,18])).
% 13.13/13.27 cnf(526,plain,
% 13.13/13.27 (~P2(f3(a1,a1),f8(f8(a4,a4),f7(f8(a4,a4))))),
% 13.13/13.27 inference(scs_inference,[],[520,516,312,20,11])).
% 13.13/13.27 cnf(530,plain,
% 13.13/13.27 (P2(f3(a1,f7(a4)),f7(a4))),
% 13.13/13.27 inference(scs_inference,[],[52,520,518,516,312,66,20,11,18,13])).
% 13.13/13.27 cnf(534,plain,
% 13.13/13.27 (P1(f6(f7(a4)))),
% 13.13/13.27 inference(scs_inference,[],[52,520,518,516,312,66,20,11,18,13,17,8])).
% 13.13/13.27 cnf(536,plain,
% 13.13/13.27 (P2(f8(a4,f7(a4)),f7(a4))),
% 13.13/13.27 inference(scs_inference,[],[52,520,518,516,312,66,20,11,18,13,17,8,14])).
% 13.13/13.27 cnf(542,plain,
% 13.13/13.27 (P3(f7(a4),f7(a4))),
% 13.13/13.27 inference(scs_inference,[],[52,452,520,518,516,312,66,20,11,18,13,17,8,14,9,19,12])).
% 13.13/13.27 cnf(558,plain,
% 13.13/13.27 (P3(f3(f3(a1,a1),f6(a1)),f3(f3(a1,a1),f6(a1)))),
% 13.13/13.27 inference(scs_inference,[],[40,54,52,42,201,11,18,15,25,27,16,24,28])).
% 13.13/13.27 cnf(560,plain,
% 13.13/13.27 (P2(f3(f3(a1,f6(a1)),f7(a4)),f3(a1,f7(a4)))),
% 13.13/13.27 inference(scs_inference,[],[40,54,52,42,201,11,18,15,25,27,16,24,28,26])).
% 13.13/13.27 cnf(573,plain,
% 13.13/13.27 (P2(f8(f3(a1,f6(a1)),f8(a1,a1)),f8(a1,f8(a1,a1)))),
% 13.13/13.27 inference(scs_inference,[],[42,48,147,25,27])).
% 13.13/13.27 cnf(581,plain,
% 13.13/13.27 (P3(f3(f3(a1,a1),f8(a1,a1)),f3(f3(a1,a1),f8(a1,a1)))),
% 13.13/13.27 inference(scs_inference,[],[42,54,48,147,25,27,15,24,16,28])).
% 13.13/13.27 cnf(583,plain,
% 13.13/13.27 (P2(f3(f3(a1,f6(a1)),f8(a1,a1)),f3(a1,f8(a1,a1)))),
% 13.13/13.27 inference(scs_inference,[],[42,54,48,147,25,27,15,24,16,28,26])).
% 13.13/13.27 cnf(585,plain,
% 13.13/13.27 (P3(f3(a1,f3(a1,a1)),f3(a1,a1))),
% 13.13/13.27 inference(scs_inference,[],[42,54,48,147,491,25,27,15,24,16,28,26,20])).
% 13.13/13.27 cnf(591,plain,
% 13.13/13.27 (~P2(f8(a4,f7(a4)),f3(a1,f6(a1)))),
% 13.13/13.27 inference(scs_inference,[],[42,54,48,558,147,423,491,137,25,27,15,24,16,28,26,20,19,11,18])).
% 13.13/13.27 cnf(593,plain,
% 13.13/13.27 (P3(f8(f3(a1,a1),f3(a1,a1)),f8(f3(a1,a1),f3(a1,a1)))),
% 13.13/13.27 inference(scs_inference,[],[42,54,48,460,558,147,423,491,137,25,27,15,24,16,28,26,20,19,11,18,12])).
% 13.13/13.27 cnf(597,plain,
% 13.13/13.27 (P3(f3(f3(a1,a1),a1),f3(a1,a1))),
% 13.13/13.27 inference(scs_inference,[],[585,68,383,257,21,20])).
% 13.13/13.27 cnf(601,plain,
% 13.13/13.27 (P2(f8(a5,a1),f8(a2,a1))),
% 13.20/13.27 inference(scs_inference,[],[56,581,585,68,383,257,21,20,19,11])).
% 13.20/13.27 cnf(605,plain,
% 13.20/13.27 (P3(a1,f8(f8(f3(a1,a1),f3(a1,a1)),a1))),
% 13.20/13.27 inference(scs_inference,[],[56,581,593,585,68,383,257,21,20,19,11,18,243])).
% 13.20/13.27 cnf(611,plain,
% 13.20/13.27 (P2(f3(a1,f8(a1,a1)),f8(a1,a1))),
% 13.20/13.27 inference(scs_inference,[],[56,48,591,601,11,18,13])).
% 13.20/13.27 cnf(615,plain,
% 13.20/13.27 (P2(f8(a4,f8(a1,a1)),f8(a1,a1))),
% 13.20/13.27 inference(scs_inference,[],[56,48,591,601,11,18,13,17,14])).
% 13.20/13.27 cnf(623,plain,
% 13.20/13.27 (P3(f3(a1,a1),f8(a1,a1))),
% 13.20/13.27 inference(scs_inference,[],[46,56,48,526,591,534,601,302,11,18,13,17,14,9,8,19,20])).
% 13.20/13.27 cnf(628,plain,
% 13.20/13.27 (P2(f3(a5,a1),f3(a2,a1))),
% 13.20/13.27 inference(scs_inference,[],[58,11])).
% 13.20/13.27 cnf(630,plain,
% 13.20/13.27 (~P2(f8(a4,f7(a4)),f8(a4,f3(a1,a1)))),
% 13.20/13.27 inference(scs_inference,[],[58,503,450,11,18])).
% 13.20/13.27 cnf(639,plain,
% 13.20/13.27 (~P2(f8(a4,f3(a1,a1)),f8(a4,f7(a4)))),
% 13.20/13.27 inference(scs_inference,[],[58,630,628,18,11])).
% 13.20/13.27 cnf(653,plain,
% 13.20/13.27 (P3(f3(f3(a1,a1),f7(a4)),f3(f3(a1,a1),f7(a4)))),
% 13.20/13.27 inference(scs_inference,[],[60,58,54,52,630,237,628,18,11,27,25,24,16,15,26,28])).
% 13.20/13.27 cnf(671,plain,
% 13.20/13.27 (P1(f3(f8(a2,a2),f8(a2,a2)))),
% 13.20/13.27 inference(scs_inference,[],[48,56,90,185,27,25,24,16,15])).
% 13.20/13.27 cnf(690,plain,
% 13.20/13.27 (~P2(f8(a4,f7(a4)),f3(a1,f3(a1,a1)))),
% 13.20/13.27 inference(scs_inference,[],[605,653,505,257,21,19,11])).
% 13.20/13.27 cnf(692,plain,
% 13.20/13.27 (~P2(f7(a4),f8(a4,f3(a1,a1)))),
% 13.20/13.27 inference(scs_inference,[],[605,653,536,505,630,257,21,19,11,18])).
% 13.20/13.27 cnf(694,plain,
% 13.20/13.27 (P2(f3(f3(a4,a4),f6(f3(a4,a4))),a1)),
% 13.20/13.27 inference(scs_inference,[],[605,653,536,505,187,630,257,21,19,11,18,17])).
% 13.20/13.27 cnf(696,plain,
% 13.20/13.27 (P2(f3(a1,f3(a4,a4)),f3(a4,a4))),
% 13.20/13.27 inference(scs_inference,[],[605,653,536,505,187,630,257,21,19,11,18,17,13])).
% 13.20/13.27 cnf(698,plain,
% 13.20/13.27 (P2(f8(a4,f3(a4,a4)),f3(a4,a4))),
% 13.20/13.27 inference(scs_inference,[],[605,653,536,505,187,630,257,21,19,11,18,17,13,14])).
% 13.20/13.27 cnf(718,plain,
% 13.20/13.27 (~P2(a4,f3(a1,f3(a1,a1)))),
% 13.20/13.27 inference(scs_inference,[],[64,690,692,11,18])).
% 13.20/13.27 cnf(728,plain,
% 13.20/13.27 (~P2(a4,f3(f8(a4,a1),f3(a1,a1)))),
% 13.20/13.27 inference(scs_inference,[],[466,718,18])).
% 13.20/13.27 cnf(730,plain,
% 13.20/13.28 (P2(a4,f8(a4,f7(a4)))),
% 13.20/13.28 inference(scs_inference,[],[64,466,718,18,11])).
% 13.20/13.28 cnf(738,plain,
% 13.20/13.28 (P1(f3(f3(a4,a4),f3(a4,a4)))),
% 13.20/13.28 inference(scs_inference,[],[52,62,64,466,718,187,18,11,27,25,16,15])).
% 13.20/13.28 cnf(757,plain,
% 13.20/13.28 (~P2(f3(f8(a4,a1),f3(a1,a1)),a4)),
% 13.20/13.28 inference(scs_inference,[],[728,160,185,257,25,16,15,21,11])).
% 13.20/13.28 cnf(761,plain,
% 13.20/13.28 (P2(f3(f8(a2,a2),f6(f8(a2,a2))),a1)),
% 13.20/13.28 inference(scs_inference,[],[428,728,203,160,90,185,257,25,16,15,21,11,18,17])).
% 13.20/13.28 cnf(763,plain,
% 13.20/13.29 (P2(f3(a1,f8(a2,a2)),f8(a2,a2))),
% 13.20/13.29 inference(scs_inference,[],[428,728,203,160,90,185,257,25,16,15,21,11,18,17,13])).
% 13.20/13.29 cnf(765,plain,
% 13.20/13.29 (P2(f8(a4,f8(a2,a2)),f8(a2,a2))),
% 13.20/13.29 inference(scs_inference,[],[428,728,203,160,90,185,257,25,16,15,21,11,18,17,13,14])).
% 13.20/13.29 cnf(779,plain,
% 13.20/13.29 (P3(f3(f8(a2,a2),f8(a2,a2)),f3(f8(a2,a2),f8(a2,a2)))),
% 13.20/13.29 inference(scs_inference,[],[671,120,11,18,12])).
% 13.20/13.29 cnf(785,plain,
% 13.20/13.29 (~P2(f8(a4,f3(a1,a1)),a4)),
% 13.20/13.29 inference(scs_inference,[],[639,597,730,623,21,18])).
% 13.20/13.29 cnf(787,plain,
% 13.20/13.29 (~P2(f3(a1,f3(a1,a1)),a4)),
% 13.20/13.29 inference(scs_inference,[],[639,597,730,718,623,21,18,11])).
% 13.20/13.29 cnf(795,plain,
% 13.20/13.29 (P2(f3(f8(a4,a1),f3(a1,a1)),f3(f3(a1,a1),a1))),
% 13.20/13.29 inference(scs_inference,[],[68,466,18])).
% 13.20/13.29 cnf(805,plain,
% 13.20/13.29 (~P2(f3(f3(a1,a1),a1),a4)),
% 13.20/13.29 inference(scs_inference,[],[68,787,785,11,18])).
% 13.20/13.29 cnf(819,plain,
% 13.20/13.29 (P3(f8(a1,a1),f3(f8(a1,a1),f8(a1,a1)))),
% 13.20/13.29 inference(scs_inference,[],[68,738,611,787,785,605,489,237,11,18,17,13,8,14,9,19,20])).
% 13.20/13.29 cnf(825,plain,
% 13.20/13.29 (~P2(f3(a4,f6(a4)),f8(a4,f7(a4)))),
% 13.20/13.29 inference(scs_inference,[],[64,819,573,442,104,11,18])).
% 13.20/13.29 cnf(832,plain,
% 13.20/13.29 (~P2(f8(a4,f7(a4)),f3(a4,f6(a4)))),
% 13.20/13.29 inference(scs_inference,[],[825,11])).
% 13.20/13.29 cnf(850,plain,
% 13.20/13.29 (P2(f8(f8(a4,a1),f8(a1,a1)),f8(f8(a1,a1),a1))),
% 13.20/13.29 inference(scs_inference,[],[66,483,11,18])).
% 13.20/13.29 cnf(860,plain,
% 13.20/13.29 (~P2(f3(f3(a1,a1),a1),f8(a4,f7(a4)))),
% 13.20/13.29 inference(scs_inference,[],[64,805,11,18])).
% 13.20/13.29 cnf(864,plain,
% 13.20/13.29 (P2(f3(a1,f6(a4)),f6(a4))),
% 13.20/13.29 inference(scs_inference,[],[64,805,147,11,18,17,13])).
% 13.20/13.29 cnf(877,plain,
% 13.20/13.29 (P2(f8(f8(a1,a1),a1),f8(f8(a4,a1),f8(a1,a1)))),
% 13.20/13.29 inference(scs_inference,[],[850,11])).
% 13.20/13.29 cnf(879,plain,
% 13.20/13.29 (P2(f3(f3(a1,f6(a1)),f7(a4)),f7(a4))),
% 13.20/13.29 inference(scs_inference,[],[850,560,530,11,18])).
% 13.20/13.29 cnf(890,plain,
% 13.20/13.29 (~P3(f3(f8(a1,a1),f8(a1,a1)),x8901)+P3(f8(f3(a1,a1),a1),x8901)),
% 13.20/13.29 inference(scs_inference,[],[70,78,860,877,850,11,18,19,20])).
% 13.20/13.29 cnf(894,plain,
% 13.20/13.29 (P2(f3(f3(a1,a1),a1),f3(f8(a4,a1),f3(a1,a1)))),
% 13.20/13.29 inference(scs_inference,[],[795,11])).
% 13.20/13.29 cnf(896,plain,
% 13.20/13.29 (~P2(f3(f8(a4,a1),f3(a1,a1)),f8(a4,f7(a4)))),
% 13.20/13.29 inference(scs_inference,[],[64,795,757,11,18])).
% 13.20/13.29 cnf(908,plain,
% 13.20/13.29 (~P2(f8(a4,f7(a4)),f3(f8(a4,a1),f3(a1,a1)))),
% 13.20/13.29 inference(scs_inference,[],[78,896,156,20,11])).
% 13.20/13.29 cnf(910,plain,
% 13.20/13.29 (P2(f3(a1,f3(a1,a1)),f3(f8(a4,a1),f3(a1,a1)))),
% 13.20/13.29 inference(scs_inference,[],[78,68,894,896,156,20,11,18])).
% 13.20/13.29 cnf(929,plain,
% 13.20/13.29 (P3(f3(f8(a4,a1),f3(a1,a1)),f3(a1,a1))),
% 13.20/13.29 inference(scs_inference,[],[910,585,20])).
% 13.20/13.29 cnf(931,plain,
% 13.20/13.29 (P3(f3(a1,f3(a1,a1)),f8(a1,a1))),
% 13.20/13.29 inference(scs_inference,[],[910,585,623,20,21])).
% 13.20/13.29 cnf(935,plain,
% 13.20/13.29 (P2(f3(f3(a1,f6(a1)),f8(a1,a1)),f8(a1,a1))),
% 13.20/13.29 inference(scs_inference,[],[910,296,583,611,585,623,20,21,11,18])).
% 13.20/13.29 cnf(943,plain,
% 13.20/13.29 (~P2(f7(a4),f3(a4,f6(a4)))),
% 13.20/13.29 inference(scs_inference,[],[931,832,536,819,21,18])).
% 13.20/13.29 cnf(947,plain,
% 13.20/13.29 (P2(f8(a1,a1),f3(f3(a1,f6(a1)),f8(a1,a1)))),
% 13.20/13.29 inference(scs_inference,[],[931,935,908,832,536,819,21,18,19,11])).
% 13.20/13.29 cnf(954,plain,
% 13.20/13.29 (P3(f3(a1,a1),f8(f8(a1,a1),f8(a1,a1)))),
% 13.20/13.29 inference(scs_inference,[],[78,302,20])).
% 13.20/13.29 cnf(956,plain,
% 13.20/13.29 (~P2(f3(a4,f6(a4)),f7(a4))),
% 13.20/13.29 inference(scs_inference,[],[78,943,302,20,11])).
% 13.20/13.29 cnf(958,plain,
% 13.20/13.29 (P2(f8(a4,f8(a1,a1)),f3(f3(a1,f6(a1)),f8(a1,a1)))),
% 13.20/13.29 inference(scs_inference,[],[78,947,615,943,302,20,11,18])).
% 13.20/13.29 cnf(970,plain,
% 13.20/13.29 (P2(f3(a1,f8(a2,a2)),f8(a5,a2))),
% 13.20/13.29 inference(scs_inference,[],[86,954,929,358,763,94,779,20,21,11,18])).
% 13.20/13.29 cnf(974,plain,
% 13.20/13.29 (P2(f3(a1,f8(a4,a4)),f8(a4,a4))),
% 13.20/13.29 inference(scs_inference,[],[86,954,929,358,763,94,779,185,20,21,11,18,17,13])).
% 13.20/13.29 cnf(1000,plain,
% 13.20/13.29 (~P2(a1,f3(a1,f8(a4,a4)))),
% 13.20/13.29 inference(scs_inference,[],[314,974,197,11,18])).
% 13.20/13.29 cnf(1012,plain,
% 13.20/13.29 (P2(f3(f8(a4,a1),f8(a1,a1)),f8(a1,a1))),
% 13.20/13.29 inference(scs_inference,[],[487,1000,611,11,18])).
% 13.20/13.29 cnf(1020,plain,
% 13.20/13.29 (P3(f3(a1,f8(a2,a2)),f3(f8(f8(a1,a1),f8(a1,a1)),f8(a2,a2)))),
% 13.20/13.29 inference(scs_inference,[],[78,90,28])).
% 13.20/13.29 cnf(1022,plain,
% 13.20/13.29 (P2(f8(a1,a1),f3(f8(a4,a1),f8(a1,a1)))),
% 13.20/13.29 inference(scs_inference,[],[78,90,1012,28,11])).
% 13.20/13.29 cnf(1024,plain,
% 13.20/13.29 (~P2(f3(a1,f6(a1)),f3(a1,f8(a4,a4)))),
% 13.20/13.29 inference(scs_inference,[],[78,90,1012,1000,348,28,11,18])).
% 13.20/13.29 cnf(1030,plain,
% 13.20/13.29 (P1(f6(f8(a2,a2)))),
% 13.20/13.29 inference(scs_inference,[],[78,90,1012,1000,348,92,28,11,18,13,17,8])).
% 13.20/13.29 cnf(1051,plain,
% 13.20/13.29 (~P2(f3(a1,f8(a4,a4)),f3(a1,f6(a1)))),
% 13.20/13.29 inference(scs_inference,[],[1030,1020,1024,970,9,20,11])).
% 13.20/13.29 cnf(1053,plain,
% 13.20/13.29 (P2(f3(f3(a1,f6(a1)),f8(a1,a1)),f3(f8(a4,a1),f8(a1,a1)))),
% 13.20/13.29 inference(scs_inference,[],[1030,1022,1020,1024,970,935,9,20,11,18])).
% 13.20/13.29 cnf(1055,plain,
% 13.20/13.29 (P3(f3(a1,f3(a4,a4)),f3(f8(f8(a1,a1),f8(a1,a1)),f3(a4,a4)))),
% 13.20/13.29 inference(scs_inference,[],[78,1030,1022,1020,1024,970,935,187,9,20,11,18,28])).
% 13.20/13.29 cnf(1060,plain,
% 13.20/13.29 (P3(f3(a4,a4),f3(f8(f8(a1,a1),f8(a1,a1)),f3(a4,a4)))),
% 13.20/13.29 inference(scs_inference,[],[696,1055,20])).
% 13.20/13.29 cnf(1064,plain,
% 13.20/13.29 (P2(f3(f3(a1,a1),f6(f3(a1,a1))),f8(a4,a1))),
% 13.20/13.29 inference(scs_inference,[],[1053,696,1055,448,156,20,11,18])).
% 13.20/13.29 cnf(1074,plain,
% 13.20/13.29 (P3(f8(a2,a2),f8(a2,a2))),
% 13.20/13.29 inference(scs_inference,[],[90,1064,245,18,12])).
% 13.20/13.29 cnf(1088,plain,
% 13.20/13.29 (P3(f8(a5,a2),f8(a2,a2))),
% 13.20/13.29 inference(scs_inference,[],[94,1074,20])).
% 13.20/13.29 cnf(1098,plain,
% 13.20/13.29 (P2(f8(a4,a5),a5)),
% 13.20/13.29 inference(scs_inference,[],[94,92,1074,765,4,20,11,18,13,8,14])).
% 13.20/13.29 cnf(1100,plain,
% 13.20/13.29 (P2(f3(a5,f6(a5)),a1)),
% 13.20/13.29 inference(scs_inference,[],[94,92,1074,765,4,20,11,18,13,8,14,17])).
% 13.20/13.29 cnf(1110,plain,
% 13.20/13.29 (P3(f3(f8(a5,a2),f3(a2,a2)),f3(f8(a2,a2),f3(a2,a2)))),
% 13.20/13.29 inference(scs_inference,[],[92,1088,28])).
% 13.20/13.29 cnf(1125,plain,
% 13.20/13.29 (~P2(f3(a1,f8(a4,a4)),f3(a1,a1))),
% 13.20/13.29 inference(scs_inference,[],[1110,1000,302,18,19,11])).
% 13.20/13.29 cnf(1177,plain,
% 13.20/13.29 (P2(f3(a4,a4),f8(a4,f3(a4,a4)))),
% 13.20/13.29 inference(scs_inference,[],[96,90,698,1125,542,446,28,19,18,27,26,11])).
% 13.20/13.29 cnf(1195,plain,
% 13.20/13.29 (P2(f3(a5,f6(a5)),f3(a1,f6(a1)))),
% 13.20/13.29 inference(scs_inference,[],[393,1100,348,11,18])).
% 13.20/13.29 cnf(1226,plain,
% 13.20/13.29 (P2(f3(f3(a4,a4),f6(f3(a4,a4))),f3(a1,a1))),
% 13.20/13.29 inference(scs_inference,[],[92,98,694,302,27,26,18])).
% 13.20/13.29 cnf(1261,plain,
% 13.20/13.29 (~P2(f3(a1,f8(a4,a4)),f3(a5,f6(a5)))),
% 13.20/13.29 inference(scs_inference,[],[94,102,1226,1195,1051,348,162,27,26,28,20,11,18])).
% 13.20/13.29 cnf(1272,plain,
% 13.20/13.29 (P2(f3(f8(a2,a2),f6(f8(a2,a2))),f8(a4,a1))),
% 13.20/13.29 inference(scs_inference,[],[761,1261,1177,1060,156,20,11,18])).
% 13.20/13.29 cnf(1354,plain,
% 13.20/13.29 (~P2(a4,f3(f8(a2,a2),f6(f8(a2,a2))))),
% 13.20/13.29 inference(scs_inference,[],[1272,245,18])).
% 13.20/13.29 cnf(1366,plain,
% 13.20/13.29 (~P2(f3(a4,f6(a4)),f3(f3(a1,f6(a1)),f7(a4)))),
% 13.20/13.29 inference(scs_inference,[],[879,1354,956,11,18])).
% 13.20/13.29 cnf(1378,plain,
% 13.20/13.29 (P3(f3(f8(a1,a1),f8(a1,a1)),f3(f8(a1,a1),f8(a1,a1)))),
% 13.20/13.29 inference(scs_inference,[],[864,958,583,477,11,18,12])).
% 13.20/13.29 cnf(1388,plain,
% 13.20/13.29 (~P2(a1,f3(f3(a1,f6(a1)),f7(a4)))),
% 13.20/13.29 inference(scs_inference,[],[1378,1366,145,890,11,18])).
% 13.20/13.29 cnf(1419,plain,
% 13.20/13.29 (~P2(f3(a1,f6(a1)),f3(f3(a1,f6(a1)),f7(a4)))),
% 13.20/13.29 inference(scs_inference,[],[1098,1388,348,11,18])).
% 13.20/13.29 cnf(1435,plain,
% 13.20/13.29 ($false),
% 13.20/13.29 inference(scs_inference,[],[116,1419,231,88,237,11,18,26]),
% 13.20/13.29 ['proof']).
% 13.20/13.29 % SZS output end Proof
% 13.20/13.29 % Total time :12.510000s
%------------------------------------------------------------------------------