TSTP Solution File: ANA020-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : ANA020-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n025.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 17:13:19 EDT 2023
% Result : Unsatisfiable 71.96s 72.01s
% Output : CNFRefutation 71.96s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ANA020-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.11/0.32 % Computer : n025.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Fri Aug 25 18:54:37 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.17/0.55 start to proof:theBenchmark
% 71.96/72.00 %-------------------------------------------
% 71.96/72.00 % File :CSE---1.6
% 71.96/72.00 % Problem :theBenchmark
% 71.96/72.00 % Transform :cnf
% 71.96/72.00 % Format :tptp:raw
% 71.96/72.00 % Command :java -jar mcs_scs.jar %d %s
% 71.96/72.00
% 71.96/72.00 % Result :Theorem 71.370000s
% 71.96/72.00 % Output :CNFRefutation 71.370000s
% 71.96/72.00 %-------------------------------------------
% 71.96/72.00 %------------------------------------------------------------------------------
% 71.96/72.00 % File : ANA020-2 : TPTP v8.1.2. Released v3.2.0.
% 71.96/72.00 % Domain : Analysis
% 71.96/72.00 % Problem : Problem about Big-O notation
% 71.96/72.00 % Version : [Pau06] axioms : Reduced > Especial.
% 71.96/72.00 % English :
% 71.96/72.00
% 71.96/72.00 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 71.96/72.00 % Source : [Pau06]
% 71.96/72.00 % Names :
% 71.96/72.00
% 71.96/72.00 % Status : Unsatisfiable
% 71.96/72.00 % Rating : 0.00 v5.3.0, 0.08 v5.2.0, 0.00 v5.0.0, 0.14 v4.1.0, 0.11 v4.0.1, 0.17 v3.3.0, 0.29 v3.2.0
% 71.96/72.00 % Syntax : Number of clauses : 12 ( 5 unt; 0 nHn; 11 RR)
% 71.96/72.00 % Number of literals : 22 ( 3 equ; 11 neg)
% 71.96/72.00 % Maximal clause size : 4 ( 1 avg)
% 71.96/72.00 % Maximal term depth : 4 ( 1 avg)
% 71.96/72.00 % Number of predicates : 7 ( 6 usr; 0 prp; 1-3 aty)
% 71.96/72.00 % Number of functors : 8 ( 8 usr; 4 con; 0-3 aty)
% 71.96/72.00 % Number of variables : 12 ( 1 sgn)
% 71.96/72.00 % SPC : CNF_UNS_RFO_SEQ_HRN
% 71.96/72.00
% 71.96/72.00 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 71.96/72.00 % of which only a small selection are required for the refutation.
% 71.96/72.00 % The mission is to find those few axioms, after which a refutation
% 71.96/72.00 % can be quite easily found. This version has only the necessary
% 71.96/72.00 % axioms.
% 71.96/72.00 %------------------------------------------------------------------------------
% 71.96/72.00 cnf(cls_conjecture_0,negated_conjecture,
% 71.96/72.00 v_f(c_0) = c_0 ).
% 71.96/72.00
% 71.96/72.00 cnf(cls_conjecture_1,negated_conjecture,
% 71.96/72.00 c_less(c_0,v_c,t_a) ).
% 71.96/72.00
% 71.96/72.00 cnf(cls_conjecture_3,negated_conjecture,
% 71.96/72.00 v_x = c_0 ).
% 71.96/72.00
% 71.96/72.00 cnf(cls_conjecture_4,negated_conjecture,
% 71.96/72.00 ~ c_lessequals(c_HOL_Oabs(v_f(v_x),t_a),c_times(v_c,c_HOL_Oabs(v_h(v_x),t_a),t_a),t_a) ).
% 71.96/72.00
% 71.96/72.00 cnf(tfree_tcs,negated_conjecture,
% 71.96/72.00 class_Ring__and__Field_Oordered__idom(t_a) ).
% 71.96/72.00
% 71.96/72.00 cnf(cls_OrderedGroup_Oabs__eq__0_1,axiom,
% 71.96/72.00 ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
% 71.96/72.00 | c_HOL_Oabs(c_0,T_a) = c_0 ) ).
% 71.96/72.00
% 71.96/72.00 cnf(cls_OrderedGroup_Oabs__ge__zero_0,axiom,
% 71.96/72.00 ( ~ class_OrderedGroup_Olordered__ab__group__abs(T_a)
% 71.96/72.00 | c_lessequals(c_0,c_HOL_Oabs(V_a,T_a),T_a) ) ).
% 71.96/72.00
% 71.96/72.00 cnf(cls_Orderings_Oorder__less__imp__le_0,axiom,
% 71.96/72.00 ( ~ class_Orderings_Oorder(T_a)
% 71.96/72.00 | ~ c_less(V_x,V_y,T_a)
% 71.96/72.00 | c_lessequals(V_x,V_y,T_a) ) ).
% 71.96/72.00
% 71.96/72.00 cnf(cls_Ring__and__Field_Omult__nonneg__nonneg_0,axiom,
% 71.96/72.00 ( ~ class_Ring__and__Field_Opordered__cancel__semiring(T_a)
% 71.96/72.01 | ~ c_lessequals(c_0,V_b,T_a)
% 71.96/72.01 | ~ c_lessequals(c_0,V_a,T_a)
% 71.96/72.01 | c_lessequals(c_0,c_times(V_a,V_b,T_a),T_a) ) ).
% 71.96/72.01
% 71.96/72.01 cnf(clsrel_Ring__and__Field_Oordered__idom_40,axiom,
% 71.96/72.01 ( ~ class_Ring__and__Field_Oordered__idom(T)
% 71.96/72.01 | class_Ring__and__Field_Opordered__cancel__semiring(T) ) ).
% 71.96/72.01
% 71.96/72.01 cnf(clsrel_Ring__and__Field_Oordered__idom_44,axiom,
% 71.96/72.01 ( ~ class_Ring__and__Field_Oordered__idom(T)
% 71.96/72.01 | class_Orderings_Oorder(T) ) ).
% 71.96/72.01
% 71.96/72.01 cnf(clsrel_Ring__and__Field_Oordered__idom_50,axiom,
% 71.96/72.01 ( ~ class_Ring__and__Field_Oordered__idom(T)
% 71.96/72.01 | class_OrderedGroup_Olordered__ab__group__abs(T) ) ).
% 71.96/72.01
% 71.96/72.01 %------------------------------------------------------------------------------
% 71.96/72.01 %-------------------------------------------
% 71.96/72.01 % Proof found
% 71.96/72.01 % SZS status Theorem for theBenchmark
% 71.96/72.01 % SZS output start Proof
% 71.96/72.01 %ClaNum:32(EqnAxiom:20)
% 71.96/72.01 %VarNum:28(SingletonVarNum:12)
% 71.96/72.01 %MaxLitNum:4
% 71.96/72.01 %MaxfuncDepth:3
% 71.96/72.01 %SharedTerms:15
% 71.96/72.01 %goalClause: 21 22 23 24 25
% 71.96/72.01 %singleGoalClaCount:5
% 71.96/72.01 [21]E(a1,a2)
% 71.96/72.01 [23]P1(a4)
% 71.96/72.01 [24]P2(a2,a7,a4)
% 71.96/72.01 [22]E(f3(a2),a2)
% 71.96/72.01 [25]~P3(f5(f3(a1),a4),f6(a7,f5(f8(a1),a4),a4),a4)
% 71.96/72.01 [26]~P1(x261)+P4(x261)
% 71.96/72.01 [27]~P1(x271)+P5(x271)
% 71.96/72.01 [28]~P1(x281)+P6(x281)
% 71.96/72.01 [29]~P4(x291)+E(f5(a2,x291),a2)
% 71.96/72.01 [30]~P4(x302)+P3(a2,f5(x301,x302),x302)
% 71.96/72.01 [31]~P5(x313)+~P2(x311,x312,x313)+P3(x311,x312,x313)
% 71.96/72.01 [32]~P6(x323)+~P3(a2,x321,x323)+~P3(a2,x322,x323)+P3(a2,f6(x321,x322,x323),x323)
% 71.96/72.01 %EqnAxiom
% 71.96/72.01 [1]E(x11,x11)
% 71.96/72.01 [2]E(x22,x21)+~E(x21,x22)
% 71.96/72.01 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 71.96/72.01 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 71.96/72.01 [5]~E(x51,x52)+E(f6(x51,x53,x54),f6(x52,x53,x54))
% 71.96/72.01 [6]~E(x61,x62)+E(f6(x63,x61,x64),f6(x63,x62,x64))
% 71.96/72.01 [7]~E(x71,x72)+E(f6(x73,x74,x71),f6(x73,x74,x72))
% 71.96/72.01 [8]~E(x81,x82)+E(f5(x81,x83),f5(x82,x83))
% 71.96/72.01 [9]~E(x91,x92)+E(f5(x93,x91),f5(x93,x92))
% 71.96/72.01 [10]~E(x101,x102)+E(f8(x101),f8(x102))
% 71.96/72.01 [11]~P1(x111)+P1(x112)+~E(x111,x112)
% 71.96/72.01 [12]P2(x122,x123,x124)+~E(x121,x122)+~P2(x121,x123,x124)
% 71.96/72.01 [13]P2(x133,x132,x134)+~E(x131,x132)+~P2(x133,x131,x134)
% 71.96/72.01 [14]P2(x143,x144,x142)+~E(x141,x142)+~P2(x143,x144,x141)
% 71.96/72.01 [15]P3(x152,x153,x154)+~E(x151,x152)+~P3(x151,x153,x154)
% 71.96/72.01 [16]P3(x163,x162,x164)+~E(x161,x162)+~P3(x163,x161,x164)
% 71.96/72.01 [17]P3(x173,x174,x172)+~E(x171,x172)+~P3(x173,x174,x171)
% 71.96/72.01 [18]~P4(x181)+P4(x182)+~E(x181,x182)
% 71.96/72.01 [19]~P5(x191)+P5(x192)+~E(x191,x192)
% 71.96/72.01 [20]~P6(x201)+P6(x202)+~E(x201,x202)
% 71.96/72.01
% 71.96/72.01 %-------------------------------------------
% 71.96/72.01 cnf(33,plain,
% 71.96/72.01 (E(a2,a1)),
% 71.96/72.01 inference(scs_inference,[],[21,2])).
% 71.96/72.01 cnf(34,plain,
% 71.96/72.01 (P2(a1,a7,a4)),
% 71.96/72.01 inference(scs_inference,[],[21,24,2,12])).
% 71.96/72.01 cnf(35,plain,
% 71.96/72.01 (P6(a4)),
% 71.96/72.01 inference(scs_inference,[],[21,23,24,2,12,28])).
% 71.96/72.01 cnf(37,plain,
% 71.96/72.01 (P5(a4)),
% 71.96/72.01 inference(scs_inference,[],[21,23,24,2,12,28,27])).
% 71.96/72.01 cnf(39,plain,
% 71.96/72.01 (P4(a4)),
% 71.96/72.01 inference(scs_inference,[],[21,23,24,2,12,28,27,26])).
% 71.96/72.01 cnf(41,plain,
% 71.96/72.01 (P3(a2,f5(x411,a4),a4)),
% 71.96/72.01 inference(scs_inference,[],[21,23,24,2,12,28,27,26,30])).
% 71.96/72.01 cnf(43,plain,
% 71.96/72.01 (E(f5(a2,a4),a2)),
% 71.96/72.01 inference(scs_inference,[],[21,23,24,2,12,28,27,26,30,29])).
% 71.96/72.01 cnf(45,plain,
% 71.96/72.01 (E(f8(a1),f8(a2))),
% 71.96/72.01 inference(scs_inference,[],[21,23,24,2,12,28,27,26,30,29,10])).
% 71.96/72.01 cnf(46,plain,
% 71.96/72.01 (E(f5(x461,a1),f5(x461,a2))),
% 71.96/72.01 inference(scs_inference,[],[21,23,24,2,12,28,27,26,30,29,10,9])).
% 71.96/72.01 cnf(47,plain,
% 71.96/72.01 (E(f5(a1,x471),f5(a2,x471))),
% 71.96/72.01 inference(scs_inference,[],[21,23,24,2,12,28,27,26,30,29,10,9,8])).
% 71.96/72.01 cnf(48,plain,
% 71.96/72.01 (E(f6(x481,x482,a1),f6(x481,x482,a2))),
% 71.96/72.01 inference(scs_inference,[],[21,23,24,2,12,28,27,26,30,29,10,9,8,7])).
% 71.96/72.01 cnf(49,plain,
% 71.96/72.01 (E(f6(x491,a1,x492),f6(x491,a2,x492))),
% 71.96/72.01 inference(scs_inference,[],[21,23,24,2,12,28,27,26,30,29,10,9,8,7,6])).
% 71.96/72.01 cnf(50,plain,
% 71.96/72.01 (E(f6(a1,x501,x502),f6(a2,x501,x502))),
% 71.96/72.01 inference(scs_inference,[],[21,23,24,2,12,28,27,26,30,29,10,9,8,7,6,5])).
% 71.96/72.01 cnf(51,plain,
% 71.96/72.01 (E(f3(a1),f3(a2))),
% 71.96/72.01 inference(scs_inference,[],[21,23,24,2,12,28,27,26,30,29,10,9,8,7,6,5,4])).
% 71.96/72.01 cnf(53,plain,
% 71.96/72.01 (P3(a2,a7,a4)),
% 71.96/72.01 inference(scs_inference,[],[21,23,24,2,12,28,27,26,30,29,10,9,8,7,6,5,4,20,31])).
% 71.96/72.01 cnf(55,plain,
% 71.96/72.01 (P3(a2,f6(f5(x551,a4),f5(x551,a4),a4),a4)),
% 71.96/72.01 inference(scs_inference,[],[21,23,24,2,12,28,27,26,30,29,10,9,8,7,6,5,4,20,31,32])).
% 71.96/72.01 cnf(65,plain,
% 71.96/72.01 (P3(a1,f6(f5(x651,a4),f5(x651,a4),a4),a4)),
% 71.96/72.01 inference(scs_inference,[],[55,33,15])).
% 71.96/72.01 cnf(66,plain,
% 71.96/72.01 (E(f3(a1),a2)),
% 71.96/72.01 inference(scs_inference,[],[22,51,55,33,15,3])).
% 71.96/72.01 cnf(69,plain,
% 71.96/72.01 (P3(a2,f6(f6(f5(x691,a4),f5(x691,a4),a4),f6(f5(x691,a4),f5(x691,a4),a4),a4),a4)),
% 71.96/72.01 inference(scs_inference,[],[22,51,55,33,34,35,37,15,3,31,32])).
% 71.96/72.01 cnf(72,plain,
% 71.96/72.01 (P3(a2,x721,a4)+~E(f6(f5(x722,a4),f5(x722,a4),a4),x721)),
% 71.96/72.01 inference(scs_inference,[],[22,51,55,33,34,35,37,15,3,31,32,19,16])).
% 71.96/72.01 cnf(81,plain,
% 71.96/72.01 (P3(a2,f6(a7,a7,a4),a4)),
% 71.96/72.01 inference(scs_inference,[],[53,35,32])).
% 71.96/72.01 cnf(83,plain,
% 71.96/72.01 (~P2(f5(f3(a1),a4),f6(a7,f5(f8(a1),a4),a4),a4)),
% 71.96/72.01 inference(scs_inference,[],[25,53,35,37,32,31])).
% 71.96/72.01 cnf(91,plain,
% 71.96/72.01 (~P3(x911,f6(a7,f5(f8(a1),a4),a4),a4)+~E(x911,f5(f3(a1),a4))),
% 71.96/72.01 inference(scs_inference,[],[22,25,53,39,35,37,32,31,18,20,12,14,16,17,15])).
% 71.96/72.01 cnf(99,plain,
% 71.96/72.01 (P3(a2,a2,a4)),
% 71.96/72.01 inference(scs_inference,[],[41,43,16])).
% 71.96/72.01 cnf(105,plain,
% 71.96/72.01 (~P2(x1051,f6(a7,f5(f8(a1),a4),a4),a4)+~E(x1051,f5(f3(a1),a4))),
% 71.96/72.01 inference(scs_inference,[],[22,33,23,83,69,41,43,34,16,15,11,19,14,12])).
% 71.96/72.01 cnf(112,plain,
% 71.96/72.01 (P3(a2,a1,a4)),
% 71.96/72.01 inference(scs_inference,[],[33,99,16])).
% 71.96/72.01 cnf(115,plain,
% 71.96/72.02 (E(f5(x1151,a2),f5(x1151,a1))),
% 71.96/72.02 inference(scs_inference,[],[33,81,99,16,15,10,9])).
% 71.96/72.02 cnf(116,plain,
% 71.96/72.02 (E(f6(x1161,x1162,a2),f6(x1161,x1162,a1))),
% 71.96/72.02 inference(scs_inference,[],[33,48,81,99,16,15,10,9,2])).
% 71.96/72.02 cnf(117,plain,
% 71.96/72.02 (E(f5(a2,x1171),f5(a1,x1171))),
% 71.96/72.02 inference(scs_inference,[],[33,48,81,99,16,15,10,9,2,8])).
% 71.96/72.02 cnf(118,plain,
% 71.96/72.02 (E(f6(x1181,x1182,f6(x1183,x1184,a1)),f6(x1181,x1182,f6(x1183,x1184,a2)))),
% 71.96/72.02 inference(scs_inference,[],[33,48,81,99,16,15,10,9,2,8,7])).
% 71.96/72.02 cnf(119,plain,
% 71.96/72.02 (E(f6(x1191,a2,x1192),f6(x1191,a1,x1192))),
% 71.96/72.02 inference(scs_inference,[],[33,48,81,99,16,15,10,9,2,8,7,6])).
% 71.96/72.02 cnf(121,plain,
% 71.96/72.02 (E(f3(a2),f3(a1))),
% 71.96/72.02 inference(scs_inference,[],[33,48,81,99,16,15,10,9,2,8,7,6,5,4])).
% 71.96/72.02 cnf(124,plain,
% 71.96/72.02 (E(f6(x1241,a1,f6(x1242,x1243,a1)),f6(x1241,a2,f6(x1242,x1243,a2)))),
% 71.96/72.02 inference(scs_inference,[],[118,49,3])).
% 71.96/72.02 cnf(131,plain,
% 71.96/72.02 (E(f3(a1),a1)),
% 71.96/72.02 inference(scs_inference,[],[33,66,3])).
% 71.96/72.02 cnf(132,plain,
% 71.96/72.02 (P3(a2,f6(a1,a1,a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[35,33,66,112,3,32])).
% 71.96/72.02 cnf(134,plain,
% 71.96/72.02 (P3(a2,f6(f6(a1,a1,a4),f6(a1,a1,a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[35,132,32])).
% 71.96/72.02 cnf(137,plain,
% 71.96/72.02 (P3(a2,f6(a2,a1,a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[35,33,50,132,32,20,16])).
% 71.96/72.02 cnf(143,plain,
% 71.96/72.02 (P3(a1,f6(f6(a1,a1,a4),f6(a1,a1,a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[35,33,134,32,15])).
% 71.96/72.02 cnf(145,plain,
% 71.96/72.02 (E(f5(x1451,f6(x1452,x1453,a2)),f5(x1451,f6(x1452,x1453,a1)))),
% 71.96/72.02 inference(scs_inference,[],[35,33,116,134,32,15,10,9])).
% 71.96/72.02 cnf(148,plain,
% 71.96/72.02 (E(f6(f6(x1481,x1482,a2),x1483,x1484),f6(f6(x1481,x1482,a1),x1483,x1484))),
% 71.96/72.02 inference(scs_inference,[],[35,33,116,134,32,15,10,9,8,6,5])).
% 71.96/72.02 cnf(149,plain,
% 71.96/72.02 (E(f6(x1491,x1492,f6(x1493,x1494,a2)),f6(x1491,x1492,f6(x1493,x1494,a1)))),
% 71.96/72.02 inference(scs_inference,[],[35,33,116,134,32,15,10,9,8,6,5,7])).
% 71.96/72.02 cnf(150,plain,
% 71.96/72.02 (E(f3(f6(x1501,x1502,a2)),f3(f6(x1501,x1502,a1)))),
% 71.96/72.02 inference(scs_inference,[],[35,33,116,134,32,15,10,9,8,6,5,7,4])).
% 71.96/72.02 cnf(153,plain,
% 71.96/72.02 (P3(a2,f6(a1,a2,a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[35,33,116,124,134,49,132,32,15,10,9,8,6,5,7,4,19,2,16])).
% 71.96/72.02 cnf(164,plain,
% 71.96/72.02 (E(f6(f6(x1641,x1642,a2),x1643,f6(x1644,x1645,a2)),f6(f6(x1641,x1642,a1),x1643,f6(x1644,x1645,a1)))),
% 71.96/72.02 inference(scs_inference,[],[148,149,3])).
% 71.96/72.02 cnf(170,plain,
% 71.96/72.02 (E(f5(a2,a4),a1)),
% 71.96/72.02 inference(scs_inference,[],[33,43,3])).
% 71.96/72.02 cnf(171,plain,
% 71.96/72.02 (P3(a2,f6(a2,a2,a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[153,50,16])).
% 71.96/72.02 cnf(174,plain,
% 71.96/72.02 (E(f6(f5(x1741,a1),x1742,x1743),f6(f5(x1741,a2),x1742,x1743))),
% 71.96/72.02 inference(scs_inference,[],[46,153,50,16,6,5])).
% 71.96/72.02 cnf(175,plain,
% 71.96/72.02 (E(f6(x1751,x1752,f5(x1753,a1)),f6(x1751,x1752,f5(x1753,a2)))),
% 71.96/72.02 inference(scs_inference,[],[46,153,50,16,6,5,7])).
% 71.96/72.02 cnf(177,plain,
% 71.96/72.02 (E(f5(x1771,f5(x1772,a1)),f5(x1771,f5(x1772,a2)))),
% 71.96/72.02 inference(scs_inference,[],[46,153,50,16,6,5,7,10,9])).
% 71.96/72.02 cnf(178,plain,
% 71.96/72.02 (E(f5(f5(x1781,a1),x1782),f5(f5(x1781,a2),x1782))),
% 71.96/72.02 inference(scs_inference,[],[46,153,50,16,6,5,7,10,9,8])).
% 71.96/72.02 cnf(180,plain,
% 71.96/72.02 (E(f5(x1801,f6(x1802,x1803,a1)),f5(x1801,f6(x1802,x1803,a2)))),
% 71.96/72.02 inference(scs_inference,[],[145,46,153,50,16,6,5,7,10,9,8,4,2])).
% 71.96/72.02 cnf(182,plain,
% 71.96/72.02 (P3(a2,f6(f6(a1,a2,a4),f6(a1,a2,a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[35,145,46,153,50,16,6,5,7,10,9,8,4,2,12,32])).
% 71.96/72.02 cnf(189,plain,
% 71.96/72.02 (P3(a1,f5(x1891,a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[41,35,182,33,32,15])).
% 71.96/72.02 cnf(214,plain,
% 71.96/72.02 (E(f5(a1,a4),a2)),
% 71.96/72.02 inference(scs_inference,[],[43,47,3])).
% 71.96/72.02 cnf(218,plain,
% 71.96/72.02 (E(f6(x2181,f8(a1),x2182),f6(x2181,f8(a2),x2182))),
% 71.96/72.02 inference(scs_inference,[],[45,43,47,3,9,8,6])).
% 71.96/72.02 cnf(222,plain,
% 71.96/72.02 (E(a2,f5(a2,a4))),
% 71.96/72.02 inference(scs_inference,[],[45,43,47,3,9,8,6,5,4,7,2])).
% 71.96/72.02 cnf(236,plain,
% 71.96/72.02 (E(f6(f5(x2361,a2),x2362,x2363),f6(f5(x2361,a1),x2362,x2363))),
% 71.96/72.02 inference(scs_inference,[],[174,2])).
% 71.96/72.02 cnf(237,plain,
% 71.96/72.02 (P2(f5(a2,a4),a7,a4)),
% 71.96/72.02 inference(scs_inference,[],[174,222,24,2,12])).
% 71.96/72.02 cnf(241,plain,
% 71.96/72.02 (P3(a1,a2,a4)),
% 71.96/72.02 inference(scs_inference,[],[46,43,174,178,222,189,24,2,12,3,16])).
% 71.96/72.02 cnf(243,plain,
% 71.96/72.02 (P3(f5(a2,a4),f5(x2431,a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[41,46,43,174,178,222,189,24,2,12,3,16,15])).
% 71.96/72.02 cnf(258,plain,
% 71.96/72.02 (E(f6(x2581,x2582,f5(a1,x2583)),f6(x2581,x2582,f5(a2,x2583)))),
% 71.96/72.02 inference(scs_inference,[],[47,4,7])).
% 71.96/72.02 cnf(259,plain,
% 71.96/72.02 (E(f8(f5(a1,x2591)),f8(f5(a2,x2591)))),
% 71.96/72.02 inference(scs_inference,[],[47,4,7,10])).
% 71.96/72.02 cnf(261,plain,
% 71.96/72.02 (E(f5(f5(a1,x2611),x2612),f5(f5(a2,x2611),x2612))),
% 71.96/72.02 inference(scs_inference,[],[47,4,7,10,9,8])).
% 71.96/72.02 cnf(262,plain,
% 71.96/72.02 (E(f6(x2621,f5(a1,x2622),x2623),f6(x2621,f5(a2,x2622),x2623))),
% 71.96/72.02 inference(scs_inference,[],[47,4,7,10,9,8,6])).
% 71.96/72.02 cnf(265,plain,
% 71.96/72.02 (P3(a2,f6(f6(a2,a1,a4),f6(a2,a1,a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[47,137,35,4,7,10,9,8,6,5,19,32])).
% 71.96/72.02 cnf(270,plain,
% 71.96/72.02 (P3(a2,f6(f5(a1,a4),f5(a2,a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[262,72])).
% 71.96/72.02 cnf(272,plain,
% 71.96/72.02 (P3(a2,f6(f6(f6(a2,a1,a4),f6(a2,a1,a4),a4),f6(f6(a2,a1,a4),f6(a2,a1,a4),a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[262,265,35,72,32])).
% 71.96/72.02 cnf(275,plain,
% 71.96/72.02 (E(f6(x2751,x2752,f5(a2,x2753)),f6(x2751,x2752,f5(a1,x2753)))),
% 71.96/72.02 inference(scs_inference,[],[46,258,262,265,35,72,32,20,2])).
% 71.96/72.02 cnf(276,plain,
% 71.96/72.02 (P3(a2,f6(f6(f5(a1,a4),f5(a2,a4),a4),f6(f5(a1,a4),f5(a2,a4),a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[270,35,32])).
% 71.96/72.02 cnf(278,plain,
% 71.96/72.02 (P3(f5(a2,a4),a2,a4)),
% 71.96/72.02 inference(scs_inference,[],[43,270,243,35,32,16])).
% 71.96/72.02 cnf(296,plain,
% 71.96/72.02 (P3(f5(a2,a4),f6(f6(f5(a1,a4),f5(a2,a4),a4),f6(f5(a1,a4),f5(a2,a4),a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[48,218,276,65,262,222,16,3,15])).
% 71.96/72.02 cnf(306,plain,
% 71.96/72.02 (E(f5(x3061,f6(x3062,a1,x3063)),f5(x3061,f6(x3062,a2,x3063)))),
% 71.96/72.02 inference(scs_inference,[],[49,164,2,4,7,9])).
% 71.96/72.02 cnf(307,plain,
% 71.96/72.02 (E(f6(f6(x3071,a1,x3072),x3073,x3074),f6(f6(x3071,a2,x3072),x3073,x3074))),
% 71.96/72.02 inference(scs_inference,[],[49,164,2,4,7,9,5])).
% 71.96/72.02 cnf(310,plain,
% 71.96/72.02 (E(f6(x3101,f6(x3102,a1,x3103),x3104),f6(x3101,f6(x3102,a2,x3103),x3104))),
% 71.96/72.02 inference(scs_inference,[],[49,164,2,4,7,9,5,10,8,6])).
% 71.96/72.02 cnf(336,plain,
% 71.96/72.02 (P3(a2,f6(f6(a2,a2,a4),f6(a2,a2,a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[171,35,32])).
% 71.96/72.02 cnf(352,plain,
% 71.96/72.02 (P3(a1,f6(f6(a1,a2,a4),f6(a1,a1,a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[307,336,143,35,32,16])).
% 71.96/72.02 cnf(357,plain,
% 71.96/72.02 (P3(f5(a1,a4),a2,a4)),
% 71.96/72.02 inference(scs_inference,[],[47,307,306,278,336,143,117,35,32,16,3,15])).
% 71.96/72.02 cnf(363,plain,
% 71.96/72.02 (E(f6(f3(a1),x3631,x3632),f6(f3(a2),x3631,x3632))),
% 71.96/72.02 inference(scs_inference,[],[47,51,307,306,278,336,143,117,35,32,16,3,15,4,9,7,8,5])).
% 71.96/72.02 cnf(373,plain,
% 71.96/72.02 (P3(a2,f6(f6(a1,a2,a4),f6(a1,a1,a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[352,21,15])).
% 71.96/72.02 cnf(386,plain,
% 71.96/72.02 (E(f6(x3861,f6(x3862,a2,x3863),x3864),f6(x3861,f6(x3862,a1,x3863),x3864))),
% 71.96/72.02 inference(scs_inference,[],[310,2])).
% 71.96/72.02 cnf(399,plain,
% 71.96/72.02 (E(f6(x3991,f6(a1,x3992,x3993),x3994),f6(x3991,f6(a2,x3992,x3993),x3994))),
% 71.96/72.02 inference(scs_inference,[],[50,4,7,9,8,6])).
% 71.96/72.02 cnf(400,plain,
% 71.96/72.02 (E(f6(f6(a1,x4001,x4002),x4003,x4004),f6(f6(a2,x4001,x4002),x4003,x4004))),
% 71.96/72.02 inference(scs_inference,[],[50,4,7,9,8,6,5])).
% 71.96/72.02 cnf(402,plain,
% 71.96/72.02 (P3(a2,f6(f6(f6(a1,a2,a4),f6(a1,a1,a4),a4),f6(f6(a1,a2,a4),f6(a1,a1,a4),a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[50,373,35,4,7,9,8,6,5,10,32])).
% 71.96/72.02 cnf(404,plain,
% 71.96/72.02 (~P3(x4041,f3(a1),x4042)+P3(x4041,f3(a2),x4042)),
% 71.96/72.02 inference(scs_inference,[],[50,51,373,35,4,7,9,8,6,5,10,32,16])).
% 71.96/72.02 cnf(405,plain,
% 71.96/72.02 (E(f6(a1,a1,x4051),f6(a2,a2,x4051))),
% 71.96/72.02 inference(scs_inference,[],[49,50,51,373,35,4,7,9,8,6,5,10,32,16,3])).
% 71.96/72.02 cnf(420,plain,
% 71.96/72.02 (P3(f5(a2,a4),f6(f5(x4201,a4),f5(x4201,a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[55,50,386,357,81,117,222,237,35,32,12,16,3,15])).
% 71.96/72.02 cnf(437,plain,
% 71.96/72.02 (E(f6(f3(a1),x4371,x4372),f6(a2,x4371,x4372))),
% 71.96/72.02 inference(scs_inference,[],[66,4,7,9,8,10,6,5])).
% 71.96/72.02 cnf(442,plain,
% 71.96/72.02 (E(a2,f3(a1))),
% 71.96/72.02 inference(scs_inference,[],[66,2])).
% 71.96/72.02 cnf(444,plain,
% 71.96/72.02 (~P3(x4441,f3(a1),x4442)+P3(x4441,a2,x4442)),
% 71.96/72.02 inference(scs_inference,[],[66,222,2,3,16])).
% 71.96/72.02 cnf(455,plain,
% 71.96/72.02 (P2(f3(a1),a7,a4)),
% 71.96/72.02 inference(scs_inference,[],[53,399,400,241,442,24,16,3,15,12])).
% 71.96/72.02 cnf(509,plain,
% 71.96/72.02 (E(f5(f6(f3(a1),x5091,x5092),x5093),f5(f6(a2,x5091,x5092),x5093))),
% 71.96/72.02 inference(scs_inference,[],[437,4,8])).
% 71.96/72.02 cnf(510,plain,
% 71.96/72.02 (E(f6(f6(f3(a1),x5101,x5102),x5103,x5104),f6(f6(a2,x5101,x5102),x5103,x5104))),
% 71.96/72.02 inference(scs_inference,[],[437,4,8,5])).
% 71.96/72.02 cnf(513,plain,
% 71.96/72.02 (E(f6(x5131,f6(f3(a1),x5132,x5133),x5134),f6(x5131,f6(a2,x5132,x5133),x5134))),
% 71.96/72.02 inference(scs_inference,[],[437,4,8,5,9,10,6])).
% 71.96/72.02 cnf(530,plain,
% 71.96/72.02 (E(f5(f6(a2,x5301,x5302),x5303),f5(f6(f3(a1),x5301,x5302),x5303))),
% 71.96/72.02 inference(scs_inference,[],[509,2])).
% 71.96/72.02 cnf(541,plain,
% 71.96/72.02 (P3(a2,f3(a1),a4)),
% 71.96/72.02 inference(scs_inference,[],[99,442,16])).
% 71.96/72.02 cnf(546,plain,
% 71.96/72.02 (P3(a2,f3(a2),a4)),
% 71.96/72.02 inference(scs_inference,[],[69,99,530,177,442,16,3,15,404])).
% 71.96/72.02 cnf(569,plain,
% 71.96/72.02 (P3(a2,f6(f3(a2),f3(a2),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[546,35,32])).
% 71.96/72.02 cnf(606,plain,
% 71.96/72.02 (P3(f5(a2,a4),f6(f5(a1,a4),f5(a2,a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[420,262,16])).
% 71.96/72.02 cnf(646,plain,
% 71.96/72.02 (P3(f5(a1,a4),f3(a1),a4)),
% 71.96/72.02 inference(scs_inference,[],[357,442,16])).
% 71.96/72.02 cnf(652,plain,
% 71.96/72.02 (P3(a2,f6(f3(a1),f3(a1),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[112,115,261,541,357,442,35,16,3,15,404,32])).
% 71.96/72.02 cnf(665,plain,
% 71.96/72.02 (E(f5(f5(a2,x6651),x6652),f5(f5(a1,x6651),x6652))),
% 71.96/72.02 inference(scs_inference,[],[117,4,8])).
% 71.96/72.02 cnf(683,plain,
% 71.96/72.02 (P3(a2,f6(f3(a2),f3(a1),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[363,652,16])).
% 71.96/72.02 cnf(699,plain,
% 71.96/72.02 (E(f6(x6991,f6(a1,a1,x6992),x6993),f6(x6991,f6(a2,a2,x6992),x6993))),
% 71.96/72.02 inference(scs_inference,[],[119,405,683,35,32,4,8,6])).
% 71.96/72.02 cnf(700,plain,
% 71.96/72.02 (E(f6(f6(x7001,a2,x7002),x7003,x7004),f6(f6(x7001,a1,x7002),x7003,x7004))),
% 71.96/72.02 inference(scs_inference,[],[119,405,683,35,32,4,8,6,5])).
% 71.96/72.02 cnf(701,plain,
% 71.96/72.02 (E(f5(x7011,f6(x7012,a2,x7013)),f5(x7011,f6(x7012,a1,x7013)))),
% 71.96/72.02 inference(scs_inference,[],[119,405,683,35,32,4,8,6,5,9])).
% 71.96/72.02 cnf(711,plain,
% 71.96/72.02 (P3(a2,f6(f6(f3(a1),f3(a1),a4),f6(f3(a1),f3(a1),a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[652,35,32])).
% 71.96/72.02 cnf(713,plain,
% 71.96/72.02 (E(f6(x7131,f6(a2,a2,x7132),x7133),f6(x7131,f6(a1,a1,x7132),x7133))),
% 71.96/72.02 inference(scs_inference,[],[699,2])).
% 71.96/72.02 cnf(722,plain,
% 71.96/72.02 (P3(a2,f6(f6(a2,f3(a1),a4),f6(f3(a1),f3(a1),a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[711,510,16])).
% 71.96/72.02 cnf(729,plain,
% 71.96/72.02 (E(f6(x7291,f3(a2),x7292),f6(x7291,f3(a1),x7292))),
% 71.96/72.02 inference(scs_inference,[],[117,121,402,701,711,510,222,16,3,15,4,6])).
% 71.96/72.02 cnf(731,plain,
% 71.96/72.02 (E(f6(f3(a2),x7311,x7312),f6(f3(a1),x7311,x7312))),
% 71.96/72.02 inference(scs_inference,[],[117,121,402,701,711,510,222,16,3,15,4,6,8,5])).
% 71.96/72.02 cnf(756,plain,
% 71.96/72.02 (P3(a2,f6(f6(a2,a2,a4),f6(a1,a1,a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[713,336,16])).
% 71.96/72.02 cnf(771,plain,
% 71.96/72.02 (P3(a2,f6(f6(a2,a1,a4),f6(a1,a1,a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[700,756,16])).
% 71.96/72.02 cnf(792,plain,
% 71.96/72.02 (E(f6(x7921,f3(a1),x7922),f6(x7921,a1,x7922))),
% 71.96/72.02 inference(scs_inference,[],[131,771,35,32,4,6])).
% 71.96/72.02 cnf(794,plain,
% 71.96/72.02 (E(f6(f3(a1),x7941,x7942),f6(a1,x7941,x7942))),
% 71.96/72.02 inference(scs_inference,[],[131,771,35,32,4,6,8,5])).
% 71.96/72.02 cnf(810,plain,
% 71.96/72.02 (P3(a2,f6(f3(a1),f3(a2),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[731,569,16])).
% 71.96/72.02 cnf(812,plain,
% 71.96/72.02 (P3(f3(a1),f6(f6(f6(a2,a1,a4),f6(a2,a1,a4),a4),f6(f6(a2,a1,a4),f6(a2,a1,a4),a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[272,731,569,442,16,15])).
% 71.96/72.02 cnf(823,plain,
% 71.96/72.02 (E(a1,f3(a1))),
% 71.96/72.02 inference(scs_inference,[],[131,2])).
% 71.96/72.02 cnf(826,plain,
% 71.96/72.02 (E(f3(a2),a1)),
% 71.96/72.02 inference(scs_inference,[],[131,121,722,513,2,16,3])).
% 71.96/72.02 cnf(846,plain,
% 71.96/72.02 (E(f3(f6(x8461,f3(a1),x8462)),f3(f6(x8461,a1,x8462)))),
% 71.96/72.02 inference(scs_inference,[],[792,4])).
% 71.96/72.02 cnf(897,plain,
% 71.96/72.02 (E(f6(f3(a2),x8971,x8972),f6(a1,x8971,x8972))),
% 71.96/72.02 inference(scs_inference,[],[826,756,35,32,4,6,8,5])).
% 71.96/72.02 cnf(910,plain,
% 71.96/72.02 (P3(a2,f6(a1,f3(a2),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[131,794,812,810,15,16])).
% 71.96/72.02 cnf(1115,plain,
% 71.96/72.02 (E(f6(x11151,f5(a2,a4),x11152),f6(x11151,a1,x11152))),
% 71.96/72.02 inference(scs_inference,[],[150,170,11,4,6])).
% 71.96/72.02 cnf(1117,plain,
% 71.96/72.02 (E(f6(f5(a2,a4),x11171,x11172),f6(a1,x11171,x11172))),
% 71.96/72.02 inference(scs_inference,[],[150,170,11,4,6,8,5])).
% 71.96/72.02 cnf(1130,plain,
% 71.96/72.02 (E(a1,f5(a2,a4))),
% 71.96/72.02 inference(scs_inference,[],[170,2])).
% 71.96/72.02 cnf(1137,plain,
% 71.96/72.02 (E(f6(x11371,x11372,f5(a2,a4)),f6(x11371,x11372,a1))),
% 71.96/72.02 inference(scs_inference,[],[150,153,170,846,1115,606,442,2,16,15,3,7])).
% 71.96/72.02 cnf(1146,plain,
% 71.96/72.02 (E(f6(f5(a2,a4),x11461,x11462),f6(a1,x11461,x11462))),
% 71.96/72.02 inference(rename_variables,[],[1117])).
% 71.96/72.02 cnf(1148,plain,
% 71.96/72.02 (E(f6(x11481,f6(f5(a2,a4),x11482,x11483),x11484),f6(x11481,f6(a1,x11482,x11483),x11484))),
% 71.96/72.02 inference(scs_inference,[],[1117,1146,72,4,6])).
% 71.96/72.02 cnf(1151,plain,
% 71.96/72.02 (E(f5(x11511,f6(f5(a2,a4),x11512,x11513)),f5(x11511,f6(a1,x11512,x11513)))),
% 71.96/72.02 inference(scs_inference,[],[1117,1146,72,4,6,8,5,9])).
% 71.96/72.02 cnf(1192,plain,
% 71.96/72.02 (P3(a2,f6(f5(a2,a4),a1,a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[175,174,1115,3,72])).
% 71.96/72.02 cnf(1204,plain,
% 71.96/72.02 (P3(a2,f6(f6(f5(a2,a4),a1,a4),f6(f5(a2,a4),a1,a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[1192,35,32])).
% 71.96/72.02 cnf(1249,plain,
% 71.96/72.02 (E(f5(x12491,f6(a1,x12492,x12493)),f5(x12491,f6(f5(a2,a4),x12492,x12493)))),
% 71.96/72.02 inference(scs_inference,[],[1151,2])).
% 71.96/72.02 cnf(1266,plain,
% 71.96/72.02 (E(f3(a1),f3(f5(a2,a4)))),
% 71.96/72.02 inference(scs_inference,[],[1204,1130,1148,442,16,15,4])).
% 71.96/72.02 cnf(1267,plain,
% 71.96/72.02 (E(f6(x12671,a1,x12672),f6(x12671,f5(a2,a4),x12672))),
% 71.96/72.02 inference(scs_inference,[],[1204,1130,1148,442,16,15,4,6])).
% 71.96/72.02 cnf(1268,plain,
% 71.96/72.02 (E(f5(a1,x12681),f5(f5(a2,a4),x12681))),
% 71.96/72.02 inference(scs_inference,[],[1204,1130,1148,442,16,15,4,6,8])).
% 71.96/72.02 cnf(1368,plain,
% 71.96/72.02 (P2(f3(f5(a2,a4)),a7,a4)),
% 71.96/72.02 inference(scs_inference,[],[1266,455,12])).
% 71.96/72.02 cnf(1400,plain,
% 71.96/72.02 (P3(f5(f5(a2,a4),a4),f3(a1),a4)),
% 71.96/72.02 inference(scs_inference,[],[180,1249,729,1368,646,794,1268,910,3,7,13,16,15])).
% 71.96/72.02 cnf(1458,plain,
% 71.96/72.02 (E(a2,f5(a1,a4))),
% 71.96/72.02 inference(scs_inference,[],[214,2])).
% 71.96/72.02 cnf(1459,plain,
% 71.96/72.02 (P3(f5(f5(a2,a4),a4),a2,a4)),
% 71.96/72.02 inference(scs_inference,[],[214,1400,2,444])).
% 71.96/72.02 cnf(1528,plain,
% 71.96/72.02 (P3(f5(f5(a2,a4),a4),f5(a1,a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[218,1459,1458,2,16])).
% 71.96/72.02 cnf(1609,plain,
% 71.96/72.02 (E(f5(a2,x16091),f5(f5(a2,a4),x16091))),
% 71.96/72.02 inference(scs_inference,[],[222,8])).
% 71.96/72.02 cnf(1612,plain,
% 71.96/72.02 (E(f5(x16121,a2),f5(x16121,f5(a2,a4)))),
% 71.96/72.02 inference(scs_inference,[],[222,8,4,6,9])).
% 71.96/72.02 cnf(1614,plain,
% 71.96/72.02 (E(f6(a2,x16141,x16142),f6(f5(a2,a4),x16141,x16142))),
% 71.96/72.02 inference(scs_inference,[],[222,8,4,6,9,10,5])).
% 71.96/72.02 cnf(1677,plain,
% 71.96/72.02 (P3(f5(f5(a2,a4),a4),f5(f5(a2,a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[1528,1268,16])).
% 71.96/72.02 cnf(1727,plain,
% 71.96/72.02 (E(f8(f5(x17271,a2)),f8(f5(x17271,f5(a2,a4))))),
% 71.96/72.02 inference(scs_inference,[],[243,1612,1677,1609,665,16,15,4,8,6,9,10])).
% 71.96/72.02 cnf(1883,plain,
% 71.96/72.02 (E(f6(x18831,f6(x18832,x18833,f5(a2,a4)),x18834),f6(x18831,f6(x18832,x18833,a1),x18834))),
% 71.96/72.02 inference(scs_inference,[],[259,1727,1137,3,4,6])).
% 71.96/72.02 cnf(1900,plain,
% 71.96/72.02 (E(f6(x19001,f6(x19002,x19003,a1),x19004),f6(x19001,f6(x19002,x19003,f5(a2,a4)),x19004))),
% 71.96/72.02 inference(scs_inference,[],[1883,2])).
% 71.96/72.02 cnf(1916,plain,
% 71.96/72.02 (E(f6(f6(x19161,a1,x19162),x19163,x19164),f6(f6(x19161,f5(a2,a4),x19162),x19163,x19164))),
% 71.96/72.02 inference(scs_inference,[],[265,307,1267,1458,35,16,15,32,6,4,8,9,5])).
% 71.96/72.02 cnf(2039,plain,
% 71.96/72.02 (E(f6(f6(x20391,f5(a2,a4),x20392),x20393,x20394),f6(f6(x20391,a1,x20392),x20393,x20394))),
% 71.96/72.02 inference(scs_inference,[],[275,1900,1916,3,2])).
% 71.96/72.02 cnf(2166,plain,
% 71.96/72.02 (E(f5(a2,x21661),f5(f3(a1),x21661))),
% 71.96/72.02 inference(scs_inference,[],[442,1458,4,6,10,8])).
% 71.96/72.02 cnf(2231,plain,
% 71.96/72.02 (E(f5(a2,x22311),f5(f3(a1),x22311))),
% 71.96/72.02 inference(rename_variables,[],[2166])).
% 71.96/72.02 cnf(2236,plain,
% 71.96/72.02 (~P3(a2,f6(a7,f5(f8(a1),a4),a4),a4)),
% 71.96/72.02 inference(scs_inference,[],[22,222,116,1458,236,823,2039,296,2166,2231,16,3,6,8,4,9,10,5,105,91,17,12,15])).
% 71.96/72.02 cnf(2239,plain,
% 71.96/72.02 (~E(f6(f5(x22391,a4),f5(x22391,a4),a4),f6(a7,f5(f8(a1),a4),a4))),
% 71.96/72.02 inference(scs_inference,[],[22,222,116,1458,236,823,2039,296,2166,2231,35,41,53,16,3,6,8,4,9,10,5,105,91,17,12,15,32,72])).
% 71.96/72.02 cnf(2245,plain,
% 71.96/72.02 (~E(f6(f5(x22451,a4),f5(x22451,a4),a4),f6(a7,f5(f8(a1),a4),a4))),
% 71.96/72.02 inference(rename_variables,[],[2239])).
% 71.96/72.02 cnf(2246,plain,
% 71.96/72.02 (~E(f6(a7,f5(f8(a1),a4),a4),f6(f5(x22461,a4),f5(x22461,a4),a4))),
% 71.96/72.02 inference(scs_inference,[],[2239,2245,5,2])).
% 71.96/72.02 cnf(2363,plain,
% 71.96/72.02 ($false),
% 71.96/72.03 inference(scs_inference,[],[222,1614,897,237,2236,2246,810,2166,35,41,53,2,3,12,15,32]),
% 71.96/72.03 ['proof']).
% 71.96/72.03 % SZS output end Proof
% 71.96/72.03 % Total time :71.370000s
%------------------------------------------------------------------------------