TSTP Solution File: SWV260-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV260-2 : TPTP v8.1.2. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:32:32 EDT 2023
% Result : Unsatisfiable 124.65s 124.68s
% Output : CNFRefutation 124.65s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV260-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.33 % Computer : n001.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Tue Aug 29 07:17:36 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.55 start to proof:theBenchmark
% 124.65/124.67 %-------------------------------------------
% 124.65/124.67 % File :CSE---1.6
% 124.65/124.67 % Problem :theBenchmark
% 124.65/124.67 % Transform :cnf
% 124.65/124.67 % Format :tptp:raw
% 124.65/124.67 % Command :java -jar mcs_scs.jar %d %s
% 124.65/124.67
% 124.65/124.67 % Result :Theorem 124.060000s
% 124.65/124.67 % Output :CNFRefutation 124.060000s
% 124.65/124.67 %-------------------------------------------
% 124.65/124.68 %------------------------------------------------------------------------------
% 124.65/124.68 % File : SWV260-2 : TPTP v8.1.2. Released v3.2.0.
% 124.65/124.68 % Domain : Software Verification (Security)
% 124.65/124.68 % Problem : Cryptographic protocol problem for messages
% 124.65/124.68 % Version : [Pau06] axioms : Reduced > Especial.
% 124.65/124.68 % English :
% 124.65/124.68
% 124.65/124.68 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 124.65/124.68 % Source : [Pau06]
% 124.65/124.68 % Names :
% 124.65/124.68
% 124.65/124.68 % Status : Unsatisfiable
% 124.65/124.68 % Rating : 0.14 v8.1.0, 0.11 v7.5.0, 0.16 v7.4.0, 0.12 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.09 v6.2.0, 0.20 v6.1.0, 0.29 v6.0.0, 0.30 v5.5.0, 0.55 v5.3.0, 0.56 v5.2.0, 0.44 v5.1.0, 0.47 v5.0.0, 0.43 v4.1.0, 0.38 v4.0.1, 0.36 v4.0.0, 0.27 v3.7.0, 0.30 v3.5.0, 0.36 v3.4.0, 0.42 v3.3.0, 0.50 v3.2.0
% 124.65/124.68 % Syntax : Number of clauses : 10 ( 3 unt; 2 nHn; 7 RR)
% 124.65/124.68 % Number of literals : 19 ( 1 equ; 8 neg)
% 124.65/124.68 % Maximal clause size : 3 ( 1 avg)
% 124.65/124.68 % Maximal term depth : 3 ( 1 avg)
% 124.65/124.68 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 124.65/124.68 % Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% 124.65/124.68 % Number of variables : 23 ( 2 sgn)
% 124.65/124.68 % SPC : CNF_UNS_RFO_SEQ_NHN
% 124.65/124.68
% 124.65/124.68 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 124.65/124.68 % of which only a small selection are required for the refutation.
% 124.65/124.68 % The mission is to find those few axioms, after which a refutation
% 124.65/124.68 % can be quite easily found. This version has only the necessary
% 124.65/124.68 % axioms.
% 124.65/124.68 %------------------------------------------------------------------------------
% 124.65/124.68 cnf(cls_conjecture_0,negated_conjecture,
% 124.65/124.68 c_in(v_Y,c_Message_Oparts(c_insert(v_X,v_G,tc_Message_Omsg)),tc_Message_Omsg) ).
% 124.65/124.68
% 124.65/124.68 cnf(cls_conjecture_1,negated_conjecture,
% 124.65/124.68 c_in(v_X,c_Message_Oparts(v_H),tc_Message_Omsg) ).
% 124.65/124.68
% 124.65/124.68 cnf(cls_conjecture_2,negated_conjecture,
% 124.65/124.68 ~ c_in(v_Y,c_Message_Oparts(c_union(v_G,v_H,tc_Message_Omsg)),tc_Message_Omsg) ).
% 124.65/124.68
% 124.65/124.68 cnf(cls_Message_Oparts_OInj_0,axiom,
% 124.65/124.68 ( ~ c_in(V_X,V_H,tc_Message_Omsg)
% 124.65/124.68 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 124.65/124.68
% 124.65/124.68 cnf(cls_Set_OUnCI_0,axiom,
% 124.65/124.68 ( ~ c_in(V_c,V_B,T_a)
% 124.65/124.68 | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ).
% 124.65/124.68
% 124.65/124.68 cnf(cls_Set_OUnCI_1,axiom,
% 124.65/124.68 ( ~ c_in(V_c,V_A,T_a)
% 124.65/124.68 | c_in(V_c,c_union(V_A,V_B,T_a),T_a) ) ).
% 124.65/124.68
% 124.65/124.68 cnf(cls_Set_OinsertE_0,axiom,
% 124.65/124.68 ( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
% 124.65/124.68 | c_in(V_a,V_A,T_a)
% 124.65/124.68 | V_a = V_b ) ).
% 124.65/124.68
% 124.65/124.68 cnf(cls_Set_OsubsetI_0,axiom,
% 124.65/124.68 ( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
% 124.65/124.68 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 124.65/124.68
% 124.65/124.68 cnf(cls_Set_OsubsetI_1,axiom,
% 124.65/124.68 ( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)
% 124.65/124.68 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 124.65/124.68
% 124.65/124.68 cnf(cls_Message_Oparts__trans_0,axiom,
% 124.65/124.68 ( ~ c_in(V_X,c_Message_Oparts(V_G),tc_Message_Omsg)
% 124.65/124.68 | ~ c_lessequals(V_G,c_Message_Oparts(V_H),tc_set(tc_Message_Omsg))
% 124.65/124.68 | c_in(V_X,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 124.65/124.68
% 124.65/124.68 %------------------------------------------------------------------------------
% 124.65/124.68 %-------------------------------------------
% 124.65/124.68 % Proof found
% 124.65/124.68 % SZS status Theorem for theBenchmark
% 124.65/124.68 % SZS output start Proof
% 124.65/124.68 %ClaNum:30(EqnAxiom:20)
% 124.65/124.68 %VarNum:52(SingletonVarNum:23)
% 124.65/124.68 %MaxLitNum:3
% 124.65/124.68 %MaxfuncDepth:2
% 124.65/124.68 %SharedTerms:14
% 124.65/124.68 %goalClause: 21 22 23
% 124.65/124.68 %singleGoalClaCount:3
% 124.65/124.68 [21]P1(a1,f3(a2),a5)
% 124.65/124.68 [22]P1(a10,f3(f6(a1,a8,a5)),a5)
% 124.65/124.68 [23]~P1(a10,f3(f7(a8,a2,a5)),a5)
% 124.65/124.68 [24]~P1(x241,x242,a5)+P1(x241,f3(x242),a5)
% 124.65/124.68 [25]P1(f4(x251,x252,x253),x251,x253)+P2(x251,x252,f9(x253))
% 124.65/124.68 [30]~P1(f4(x301,x302,x303),x302,x303)+P2(x301,x302,f9(x303))
% 124.65/124.68 [26]~P1(x261,x263,x264)+P1(x261,f7(x262,x263,x264),x264)
% 124.65/124.68 [27]~P1(x271,x272,x274)+P1(x271,f7(x272,x273,x274),x274)
% 124.65/124.68 [28]~P2(x283,f3(x282),f9(a5))+P1(x281,f3(x282),a5)+~P1(x281,f3(x283),a5)
% 124.65/124.68 [29]E(x291,x292)+P1(x291,x293,x294)+~P1(x291,f6(x292,x293,x294),x294)
% 124.65/124.68 %EqnAxiom
% 124.65/124.68 [1]E(x11,x11)
% 124.65/124.68 [2]E(x22,x21)+~E(x21,x22)
% 124.65/124.68 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 124.65/124.68 [4]~E(x41,x42)+E(f3(x41),f3(x42))
% 124.65/124.68 [5]~E(x51,x52)+E(f6(x51,x53,x54),f6(x52,x53,x54))
% 124.65/124.68 [6]~E(x61,x62)+E(f6(x63,x61,x64),f6(x63,x62,x64))
% 124.65/124.68 [7]~E(x71,x72)+E(f6(x73,x74,x71),f6(x73,x74,x72))
% 124.65/124.68 [8]~E(x81,x82)+E(f4(x81,x83,x84),f4(x82,x83,x84))
% 124.65/124.68 [9]~E(x91,x92)+E(f4(x93,x91,x94),f4(x93,x92,x94))
% 124.65/124.68 [10]~E(x101,x102)+E(f4(x103,x104,x101),f4(x103,x104,x102))
% 124.65/124.68 [11]~E(x111,x112)+E(f7(x111,x113,x114),f7(x112,x113,x114))
% 124.65/124.68 [12]~E(x121,x122)+E(f7(x123,x121,x124),f7(x123,x122,x124))
% 124.65/124.68 [13]~E(x131,x132)+E(f7(x133,x134,x131),f7(x133,x134,x132))
% 124.65/124.68 [14]~E(x141,x142)+E(f9(x141),f9(x142))
% 124.65/124.68 [15]P1(x152,x153,x154)+~E(x151,x152)+~P1(x151,x153,x154)
% 124.65/124.68 [16]P1(x163,x162,x164)+~E(x161,x162)+~P1(x163,x161,x164)
% 124.65/124.68 [17]P1(x173,x174,x172)+~E(x171,x172)+~P1(x173,x174,x171)
% 124.65/124.68 [18]P2(x182,x183,x184)+~E(x181,x182)+~P2(x181,x183,x184)
% 124.65/124.68 [19]P2(x193,x192,x194)+~E(x191,x192)+~P2(x193,x191,x194)
% 124.65/124.68 [20]P2(x203,x204,x202)+~E(x201,x202)+~P2(x203,x204,x201)
% 124.65/124.68
% 124.65/124.68 %-------------------------------------------
% 124.65/124.69 cnf(31,plain,
% 124.65/124.69 (~P1(a10,f7(a8,a2,a5),a5)),
% 124.65/124.69 inference(scs_inference,[],[23,24])).
% 124.65/124.69 cnf(32,plain,
% 124.65/124.69 (~P1(a10,a8,a5)),
% 124.65/124.69 inference(scs_inference,[],[23,24,27])).
% 124.65/124.69 cnf(33,plain,
% 124.65/124.69 (~P1(a10,a2,a5)),
% 124.65/124.69 inference(scs_inference,[],[23,24,27,26])).
% 124.65/124.69 cnf(35,plain,
% 124.65/124.69 (~E(f3(f6(a1,a8,a5)),f3(f7(a8,a2,a5)))),
% 124.65/124.69 inference(scs_inference,[],[22,23,24,27,26,16])).
% 124.65/124.69 cnf(36,plain,
% 124.65/124.69 (~P2(f6(a1,a8,a5),f3(f7(a8,a2,a5)),f9(a5))),
% 124.65/124.69 inference(scs_inference,[],[22,23,24,27,26,16,28])).
% 124.65/124.69 cnf(38,plain,
% 124.65/124.69 (~E(f3(f7(a8,a2,a5)),f3(f6(a1,a8,a5)))),
% 124.65/124.69 inference(scs_inference,[],[22,23,24,27,26,16,28,2])).
% 124.65/124.69 cnf(39,plain,
% 124.65/124.69 (~P2(f6(a1,a8,a5),f3(f7(a8,a2,a5)),x391)+~E(x391,f9(a5))),
% 124.65/124.69 inference(scs_inference,[],[22,23,24,27,26,16,28,2,20])).
% 124.65/124.69 cnf(40,plain,
% 124.65/124.69 (~E(f6(a1,a8,a5),f7(a8,a2,a5))),
% 124.65/124.69 inference(scs_inference,[],[22,23,24,27,26,16,28,2,20,4])).
% 124.65/124.69 cnf(44,plain,
% 124.65/124.69 (P1(a1,f7(f3(a2),x441,a5),a5)),
% 124.65/124.69 inference(scs_inference,[],[21,27])).
% 124.65/124.69 cnf(46,plain,
% 124.65/124.69 (P1(a1,f7(x461,f3(a2),a5),a5)),
% 124.65/124.69 inference(scs_inference,[],[21,27,26])).
% 124.65/124.69 cnf(48,plain,
% 124.65/124.69 (P1(a1,f3(f3(a2)),a5)),
% 124.65/124.69 inference(scs_inference,[],[21,27,26,24])).
% 124.65/124.69 cnf(50,plain,
% 124.65/124.69 (~E(f3(f6(a1,a8,a5)),f7(a8,a2,a5))),
% 124.65/124.69 inference(scs_inference,[],[21,22,31,27,26,24,16])).
% 124.65/124.69 cnf(51,plain,
% 124.65/124.69 (~P2(f6(a1,a8,a5),x511,f9(a5))+~E(x511,f3(f7(a8,a2,a5)))),
% 124.65/124.69 inference(scs_inference,[],[21,22,36,31,27,26,24,16,19])).
% 124.65/124.69 cnf(71,plain,
% 124.65/124.69 (~E(f3(f6(a1,a8,a5)),a8)),
% 124.65/124.69 inference(scs_inference,[],[32,44,35,38,22,4,3,17,16])).
% 124.65/124.69 cnf(73,plain,
% 124.65/124.69 (P1(a1,x731,a5)+~E(f7(x732,f3(a2),a5),x731)),
% 124.65/124.69 inference(scs_inference,[],[46,16])).
% 124.65/124.69 cnf(90,plain,
% 124.65/124.69 (~P1(x901,a8,a5)+~E(x901,a10)),
% 124.65/124.69 inference(scs_inference,[],[32,15])).
% 124.65/124.69 cnf(94,plain,
% 124.65/124.69 (~E(f3(f6(a1,a8,a5)),a2)),
% 124.65/124.69 inference(scs_inference,[],[33,22,16])).
% 124.65/124.69 cnf(97,plain,
% 124.65/124.69 (P1(a1,x971,a5)+~E(f7(f3(a2),x972,a5),x971)),
% 124.65/124.69 inference(scs_inference,[],[44,16])).
% 124.65/124.69 cnf(110,plain,
% 124.65/124.69 (~E(f7(a8,a2,a5),f3(f6(a1,a8,a5)))),
% 124.65/124.69 inference(scs_inference,[],[50,2])).
% 124.65/124.69 cnf(111,plain,
% 124.65/124.69 (~E(x1111,f3(f6(a1,a8,a5)))+~E(f3(f7(a8,a2,a5)),x1111)),
% 124.65/124.69 inference(scs_inference,[],[38,50,2,3])).
% 124.65/124.69 cnf(114,plain,
% 124.65/124.69 (~E(f3(x1141),f3(f6(a1,a8,a5)))+~E(f7(a8,a2,a5),x1141)),
% 124.65/124.69 inference(scs_inference,[],[38,50,33,2,3,29,4])).
% 124.65/124.69 cnf(120,plain,
% 124.65/124.69 (P1(a1,x1201,a5)+~E(f3(f3(a2)),x1201)),
% 124.65/124.69 inference(scs_inference,[],[46,48,17,16])).
% 124.65/124.69 cnf(123,plain,
% 124.65/124.69 (~E(x1231,x1232)+E(f9(x1232),f9(x1231))),
% 124.65/124.69 inference(scs_inference,[],[14,2])).
% 124.65/124.69 cnf(138,plain,
% 124.65/124.69 (~E(x1381,f7(a8,a2,a5))+~E(f6(a1,a8,a5),x1381)),
% 124.65/124.69 inference(scs_inference,[],[40,3])).
% 124.65/124.69 cnf(139,plain,
% 124.65/124.69 (~P1(x1391,a2,a5)+~E(x1391,a10)),
% 124.65/124.69 inference(scs_inference,[],[40,33,3,15])).
% 124.65/124.69 cnf(141,plain,
% 124.65/124.69 (~E(a2,f3(f6(a1,a8,a5)))),
% 124.65/124.69 inference(scs_inference,[],[94,2])).
% 124.65/124.69 cnf(154,plain,
% 124.65/124.69 (~E(x1541,f7(a8,a2,a5))+~E(f3(f6(a1,a8,a5)),x1541)),
% 124.65/124.69 inference(scs_inference,[],[50,3])).
% 124.65/124.69 cnf(157,plain,
% 124.65/124.69 (~E(x1571,x1572)+E(f6(x1573,f6(x1574,x1575,x1571),x1576),f6(x1573,f6(x1574,x1575,x1572),x1576))),
% 124.65/124.69 inference(scs_inference,[],[6,7])).
% 124.65/124.69 cnf(165,plain,
% 124.65/124.69 (~E(x1651,x1652)+E(f4(x1653,x1654,f7(x1651,x1655,x1656)),f4(x1653,x1654,f7(x1652,x1655,x1656)))),
% 124.65/124.69 inference(scs_inference,[],[10,11])).
% 124.65/124.69 cnf(169,plain,
% 124.65/124.69 (~E(f9(x1691),f9(a5))+P1(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),x1691),f6(a1,a8,a5),x1691)),
% 124.65/124.69 inference(scs_inference,[],[25,39])).
% 124.65/124.69 cnf(170,plain,
% 124.65/124.69 (P1(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),f6(a1,a8,a5),a5)),
% 124.65/124.69 inference(equality_inference,[],[169])).
% 124.65/124.69 cnf(171,plain,
% 124.65/124.69 (~E(x1711,f3(f7(a8,a2,a5)))+~P1(f4(f6(a1,a8,a5),x1711,a5),x1711,a5)),
% 124.65/124.69 inference(scs_inference,[],[30,51])).
% 124.65/124.69 cnf(172,plain,
% 124.65/124.69 (~P1(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),f3(f7(a8,a2,a5)),a5)),
% 124.65/124.69 inference(equality_inference,[],[171])).
% 124.65/124.69 cnf(173,plain,
% 124.65/124.69 (~E(x1731,f6(a1,a8,a5))+~E(x1731,f7(a8,a2,a5))),
% 124.65/124.69 inference(scs_inference,[],[138,2])).
% 124.65/124.69 cnf(176,plain,
% 124.65/124.69 (P1(x1761,f3(a2),x1762)+~E(a5,x1762)+~E(a1,x1761)),
% 124.65/124.69 inference(scs_inference,[],[141,21,3,15,17])).
% 124.65/124.69 cnf(185,plain,
% 124.65/124.69 (P1(x1851,f3(f3(a2)),a5)+~E(a1,x1851)),
% 124.65/124.69 inference(scs_inference,[],[48,15])).
% 124.65/124.69 cnf(186,plain,
% 124.65/124.69 (P1(x1861,f3(f3(a2)),x1862)+~E(a1,x1861)+~E(a5,x1862)),
% 124.65/124.69 inference(scs_inference,[],[48,15,17])).
% 124.65/124.69 cnf(199,plain,
% 124.65/124.69 (~E(x1991,f3(f6(a1,a8,a5)))+~E(x1991,f7(a8,a2,a5))),
% 124.65/124.69 inference(scs_inference,[],[154,2])).
% 124.65/124.69 cnf(200,plain,
% 124.65/124.69 (P1(x2001,f7(x2002,f3(a2),a5),a5)+~E(a1,x2001)),
% 124.65/124.69 inference(scs_inference,[],[46,15])).
% 124.65/124.69 cnf(205,plain,
% 124.65/124.69 (~E(x2051,f3(f6(a1,a8,a5)))+~E(f7(a8,a2,a5),x2051)),
% 124.65/124.69 inference(scs_inference,[],[110,3])).
% 124.65/124.69 cnf(210,plain,
% 124.65/124.69 (~E(x2101,f3(f6(a1,a8,a5)))+~E(f7(a8,a2,a5),a10)+~P1(f7(a8,a2,a5),f6(x2101,f7(a8,a2,a5),a5),a5)),
% 124.65/124.69 inference(scs_inference,[],[110,31,3,29,16,17,15])).
% 124.65/124.69 cnf(222,plain,
% 124.65/124.69 (~E(x2221,a2)+~E(f3(f6(a1,a8,a5)),x2221)),
% 124.65/124.69 inference(scs_inference,[],[94,3])).
% 124.65/124.69 cnf(226,plain,
% 124.65/124.69 (~E(x2261,f3(f6(a1,a8,a5)))+~E(x2261,a2)),
% 124.65/124.69 inference(scs_inference,[],[222,2])).
% 124.65/124.69 cnf(235,plain,
% 124.65/124.69 (~E(x2351,f3(f7(a8,a2,a5)))+~E(x2351,f3(f6(a1,a8,a5)))),
% 124.65/124.69 inference(scs_inference,[],[111,2])).
% 124.65/124.69 cnf(240,plain,
% 124.65/124.69 (~E(x2401,a8)+~E(f3(f6(a1,a8,a5)),x2401)),
% 124.65/124.69 inference(scs_inference,[],[71,3])).
% 124.65/124.69 cnf(241,plain,
% 124.65/124.69 (~E(f6(a1,a8,a5),x2411)+~E(f3(x2411),a8)),
% 124.65/124.69 inference(scs_inference,[],[240,4])).
% 124.65/124.69 cnf(242,plain,
% 124.65/124.69 (~E(a1,x2421)+~E(f3(f6(x2421,a8,a5)),a8)),
% 124.65/124.69 inference(scs_inference,[],[241,5])).
% 124.65/124.69 cnf(243,plain,
% 124.65/124.69 (~E(x2431,a1)+~E(f3(f6(x2431,a8,a5)),a8)),
% 124.65/124.69 inference(scs_inference,[],[242,2])).
% 124.65/124.69 cnf(307,plain,
% 124.65/124.69 (P1(x3071,f7(x3072,f3(a2),x3073),x3073)+~E(a5,x3073)+~E(a1,x3071)),
% 124.65/124.69 inference(scs_inference,[],[176,26])).
% 124.65/124.69 cnf(308,plain,
% 124.65/124.69 (~E(a1,x3081)+P1(x3081,f3(f3(f3(a2))),a5)),
% 124.65/124.69 inference(scs_inference,[],[186,24])).
% 124.65/124.69 cnf(309,plain,
% 124.65/124.69 (P1(a1,f3(f3(f3(a2))),a5)),
% 124.65/124.69 inference(equality_inference,[],[308])).
% 124.65/124.69 cnf(310,plain,
% 124.65/124.69 (P1(x3101,f7(f7(x3102,f3(a2),x3103),x3104,x3103),x3103)+~E(a5,x3103)+~E(a1,x3101)),
% 124.65/124.69 inference(scs_inference,[],[307,27])).
% 124.65/124.69 cnf(378,plain,
% 124.65/124.69 (E(f6(x3781,x3782,x3783),f6(x3781,x3784,x3783))+~E(x3784,x3782)),
% 124.65/124.69 inference(scs_inference,[],[2,6])).
% 124.65/124.69 cnf(382,plain,
% 124.65/124.69 (E(f6(x3821,x3822,x3823),f6(x3821,x3822,x3824))+~E(x3824,x3823)),
% 124.65/124.69 inference(scs_inference,[],[2,7])).
% 124.65/124.69 cnf(386,plain,
% 124.65/124.69 (E(f4(x3861,x3862,x3863),f4(x3864,x3862,x3863))+~E(x3864,x3861)),
% 124.65/124.69 inference(scs_inference,[],[2,8])).
% 124.65/124.69 cnf(390,plain,
% 124.65/124.69 (E(f4(x3901,x3902,x3903),f4(x3901,x3904,x3903))+~E(x3904,x3902)),
% 124.65/124.69 inference(scs_inference,[],[2,9])).
% 124.65/124.69 cnf(394,plain,
% 124.65/124.69 (E(f4(x3941,x3942,x3943),f4(x3941,x3942,x3944))+~E(x3944,x3943)),
% 124.65/124.69 inference(scs_inference,[],[2,10])).
% 124.65/124.69 cnf(398,plain,
% 124.65/124.69 (E(f7(x3981,x3982,x3983),f7(x3984,x3982,x3983))+~E(x3984,x3981)),
% 124.65/124.69 inference(scs_inference,[],[2,11])).
% 124.65/124.69 cnf(402,plain,
% 124.65/124.69 (E(f7(x4021,x4022,x4023),f7(x4021,x4024,x4023))+~E(x4024,x4022)),
% 124.65/124.69 inference(scs_inference,[],[2,12])).
% 124.65/124.69 cnf(406,plain,
% 124.65/124.69 (E(f7(x4061,x4062,x4063),f7(x4061,x4062,x4064))+~E(x4064,x4063)),
% 124.65/124.69 inference(scs_inference,[],[2,13])).
% 124.65/124.69 cnf(414,plain,
% 124.65/124.69 (~E(x4141,a5)+P1(x4142,f3(a2),x4141)+~E(a1,x4142)),
% 124.65/124.69 inference(scs_inference,[],[2,176])).
% 124.65/124.69 cnf(415,plain,
% 124.65/124.69 (P1(x4151,f7(x4152,f3(a2),x4153),x4153)+~E(a1,x4151)+~E(x4153,a5)),
% 124.65/124.69 inference(scs_inference,[],[414,26])).
% 124.65/124.69 cnf(416,plain,
% 124.65/124.69 (~E(a1,x4161)+P1(x4161,f3(f7(x4162,f3(a2),a5)),a5)),
% 124.65/124.69 inference(scs_inference,[],[415,24])).
% 124.65/124.69 cnf(441,plain,
% 124.65/124.69 (E(f4(x4411,x4412,f7(x4413,x4414,x4415)),f4(x4411,x4412,f7(x4416,x4414,x4415)))+~E(x4416,x4413)),
% 124.65/124.69 inference(scs_inference,[],[2,165])).
% 124.65/124.69 cnf(471,plain,
% 124.65/124.69 (~E(x4711,a1)+P1(x4711,f3(a2),a5)),
% 124.65/124.69 inference(scs_inference,[],[21,2,15])).
% 124.65/124.69 cnf(473,plain,
% 124.65/124.69 (~E(x4731,f3(a2))+P1(a1,x4731,a5)),
% 124.65/124.69 inference(scs_inference,[],[21,2,16])).
% 124.65/124.69 cnf(542,plain,
% 124.65/124.69 (~E(x5421,f7(x5422,f3(a2),a5))+P1(a1,x5421,a5)),
% 124.65/124.69 inference(scs_inference,[],[2,73])).
% 124.65/124.69 cnf(554,plain,
% 124.65/124.69 (~E(x5541,f7(f3(a2),x5542,a5))+P1(a1,x5541,a5)),
% 124.65/124.69 inference(scs_inference,[],[2,97])).
% 124.65/124.69 cnf(777,plain,
% 124.65/124.69 (~E(x7771,a10)+~E(x7772,x7771)+~P1(x7772,a8,a5)),
% 124.65/124.69 inference(scs_inference,[],[90,3])).
% 124.65/124.69 cnf(842,plain,
% 124.65/124.69 (P2(a2,x8421,f9(a5))+~E(f4(a2,x8421,a5),a10)),
% 124.65/124.69 inference(scs_inference,[],[139,25])).
% 124.65/124.69 cnf(1355,plain,
% 124.65/124.69 (~E(x13551,x13552)+E(f3(f6(x13551,x13553,x13554)),f3(f6(x13552,x13553,x13554)))),
% 124.65/124.69 inference(scs_inference,[],[4,5])).
% 124.65/124.69 cnf(1359,plain,
% 124.65/124.69 (~E(x13591,x13592)+E(f3(f6(x13593,x13591,x13594)),f3(f6(x13593,x13592,x13594)))),
% 124.65/124.69 inference(scs_inference,[],[4,6])).
% 124.65/124.70 cnf(1363,plain,
% 124.65/124.70 (~E(x13631,x13632)+E(f3(f6(x13633,x13634,x13631)),f3(f6(x13633,x13634,x13632)))),
% 124.65/124.70 inference(scs_inference,[],[4,7])).
% 124.65/124.70 cnf(1367,plain,
% 124.65/124.70 (~E(x13671,x13672)+E(f3(f4(x13671,x13673,x13674)),f3(f4(x13672,x13673,x13674)))),
% 124.65/124.70 inference(scs_inference,[],[4,8])).
% 124.65/124.70 cnf(1371,plain,
% 124.65/124.70 (~E(x13711,x13712)+E(f3(f4(x13713,x13711,x13714)),f3(f4(x13713,x13712,x13714)))),
% 124.65/124.70 inference(scs_inference,[],[4,9])).
% 124.65/124.70 cnf(1375,plain,
% 124.65/124.70 (~E(x13751,x13752)+E(f3(f7(x13751,x13753,x13754)),f3(f7(x13752,x13753,x13754)))),
% 124.65/124.70 inference(scs_inference,[],[4,11])).
% 124.65/124.70 cnf(1379,plain,
% 124.65/124.70 (~E(x13791,x13792)+E(f3(f7(x13793,x13794,x13791)),f3(f7(x13793,x13794,x13792)))),
% 124.65/124.70 inference(scs_inference,[],[4,13])).
% 124.65/124.70 cnf(1381,plain,
% 124.65/124.70 (~E(x13811,x13812)+E(f3(f9(x13811)),f3(f9(x13812)))),
% 124.65/124.70 inference(scs_inference,[],[4,14])).
% 124.65/124.70 cnf(1383,plain,
% 124.65/124.70 (~E(x13831,x13832)+E(f3(f9(x13832)),f3(f9(x13831)))),
% 124.65/124.70 inference(scs_inference,[],[4,123])).
% 124.65/124.70 cnf(1395,plain,
% 124.65/124.70 (~E(x13951,x13952)+E(f3(f6(x13953,x13952,x13954)),f3(f6(x13953,x13951,x13954)))),
% 124.65/124.70 inference(scs_inference,[],[4,378])).
% 124.65/124.70 cnf(1399,plain,
% 124.65/124.70 (~E(x13991,x13992)+E(f3(f4(x13992,x13993,x13994)),f3(f4(x13991,x13993,x13994)))),
% 124.65/124.70 inference(scs_inference,[],[4,386])).
% 124.65/124.70 cnf(1403,plain,
% 124.65/124.70 (~E(x14031,x14032)+E(f3(f4(x14033,x14034,x14032)),f3(f4(x14033,x14034,x14031)))),
% 124.65/124.70 inference(scs_inference,[],[4,394])).
% 124.65/124.70 cnf(1407,plain,
% 124.65/124.70 (~E(x14071,x14072)+E(f3(f7(x14073,x14072,x14074)),f3(f7(x14073,x14071,x14074)))),
% 124.65/124.70 inference(scs_inference,[],[4,402])).
% 124.65/124.70 cnf(1429,plain,
% 124.65/124.70 (~E(x14291,f6(a1,a8,a5))+~E(a2,f3(x14291))),
% 124.65/124.70 inference(scs_inference,[],[141,4,3])).
% 124.65/124.70 cnf(1430,plain,
% 124.65/124.70 (~E(x14301,a1)+~E(a2,f3(f6(x14301,a8,a5)))),
% 124.65/124.70 inference(scs_inference,[],[1429,5])).
% 124.65/124.70 cnf(1435,plain,
% 124.65/124.70 (~E(x14351,x14352)+E(f6(f3(x14351),x14353,x14354),f6(f3(x14352),x14353,x14354))),
% 124.65/124.70 inference(scs_inference,[],[4,5])).
% 124.65/124.70 cnf(1439,plain,
% 124.65/124.70 (~E(x14391,x14392)+E(f6(x14393,x14394,f3(x14391)),f6(x14393,x14394,f3(x14392)))),
% 124.65/124.70 inference(scs_inference,[],[4,7])).
% 124.65/124.70 cnf(1443,plain,
% 124.65/124.70 (~E(x14431,x14432)+E(f4(x14433,f3(x14431),x14434),f4(x14433,f3(x14432),x14434))),
% 124.65/124.70 inference(scs_inference,[],[4,9])).
% 124.65/124.70 cnf(1447,plain,
% 124.65/124.70 (~E(x14471,x14472)+E(f7(f3(x14471),x14473,x14474),f7(f3(x14472),x14473,x14474))),
% 124.65/124.70 inference(scs_inference,[],[4,11])).
% 124.65/124.70 cnf(1451,plain,
% 124.65/124.70 (~E(x14511,x14512)+E(f7(x14513,x14514,f3(x14511)),f7(x14513,x14514,f3(x14512)))),
% 124.65/124.70 inference(scs_inference,[],[4,13])).
% 124.65/124.70 cnf(1475,plain,
% 124.65/124.70 (~E(x14751,x14752)+E(f9(f6(x14753,x14751,x14754)),f9(f6(x14753,x14752,x14754)))),
% 124.65/124.70 inference(scs_inference,[],[14,6])).
% 124.65/124.70 cnf(1479,plain,
% 124.65/124.70 (~E(x14791,x14792)+E(f9(f4(x14791,x14793,x14794)),f9(f4(x14792,x14793,x14794)))),
% 124.65/124.70 inference(scs_inference,[],[14,8])).
% 124.65/124.70 cnf(1483,plain,
% 124.65/124.70 (~E(x14831,x14832)+E(f9(f4(x14833,x14834,x14831)),f9(f4(x14833,x14834,x14832)))),
% 124.65/124.70 inference(scs_inference,[],[14,10])).
% 124.65/124.70 cnf(1487,plain,
% 124.65/124.70 (~E(x14871,x14872)+E(f9(f7(x14873,x14871,x14874)),f9(f7(x14873,x14872,x14874)))),
% 124.65/124.70 inference(scs_inference,[],[14,12])).
% 124.65/124.70 cnf(1495,plain,
% 124.65/124.70 (~E(x14951,x14952)+E(f6(x14953,f9(x14951),x14954),f6(x14953,f9(x14952),x14954))),
% 124.65/124.70 inference(scs_inference,[],[14,6])).
% 124.65/124.70 cnf(1499,plain,
% 124.65/124.70 (~E(x14991,x14992)+E(f4(f9(x14991),x14993,x14994),f4(f9(x14992),x14993,x14994))),
% 124.65/124.70 inference(scs_inference,[],[14,8])).
% 124.65/124.70 cnf(1503,plain,
% 124.65/124.70 (~E(x15031,x15032)+E(f4(x15033,x15034,f9(x15031)),f4(x15033,x15034,f9(x15032)))),
% 124.65/124.70 inference(scs_inference,[],[14,10])).
% 124.65/124.70 cnf(1507,plain,
% 124.65/124.70 (~E(x15071,x15072)+E(f7(x15073,f9(x15071),x15074),f7(x15073,f9(x15072),x15074))),
% 124.65/124.70 inference(scs_inference,[],[14,12])).
% 124.65/124.70 cnf(1515,plain,
% 124.65/124.70 (E(f9(f9(x15151)),f9(f9(x15152)))+~E(x15152,x15151)),
% 124.65/124.70 inference(scs_inference,[],[14,123])).
% 124.65/124.70 cnf(1551,plain,
% 124.65/124.70 (~E(x15511,x15512)+E(f9(f4(x15512,x15513,x15514)),f9(f4(x15511,x15513,x15514)))),
% 124.65/124.70 inference(scs_inference,[],[14,386])).
% 124.65/124.70 cnf(1555,plain,
% 124.65/124.70 (~E(x15551,x15552)+E(f9(f4(x15553,x15552,x15554)),f9(f4(x15553,x15551,x15554)))),
% 124.65/124.70 inference(scs_inference,[],[14,390])).
% 124.65/124.70 cnf(1559,plain,
% 124.65/124.70 (~E(x15591,x15592)+E(f9(f7(x15592,x15593,x15594)),f9(f7(x15591,x15593,x15594)))),
% 124.65/124.70 inference(scs_inference,[],[14,398])).
% 124.65/124.70 cnf(1563,plain,
% 124.65/124.70 (~E(x15631,x15632)+E(f9(f7(x15633,x15634,x15632)),f9(f7(x15633,x15634,x15631)))),
% 124.65/124.70 inference(scs_inference,[],[14,406])).
% 124.65/124.70 cnf(1568,plain,
% 124.65/124.70 (E(f4(f9(x15681),x15682,x15683),f4(f9(x15684),x15682,x15683))+~E(x15684,x15681)),
% 124.65/124.70 inference(scs_inference,[],[14,386])).
% 124.65/124.70 cnf(1572,plain,
% 124.65/124.70 (E(f4(x15721,f9(x15722),x15723),f4(x15721,f9(x15724),x15723))+~E(x15724,x15722)),
% 124.65/124.70 inference(scs_inference,[],[14,390])).
% 124.65/124.70 cnf(1576,plain,
% 124.65/124.70 (E(f7(f9(x15761),x15762,x15763),f7(f9(x15764),x15762,x15763))+~E(x15764,x15761)),
% 124.65/124.70 inference(scs_inference,[],[14,398])).
% 124.65/124.70 cnf(1580,plain,
% 124.65/124.70 (E(f7(x15801,x15802,f9(x15803)),f7(x15801,x15802,f9(x15804)))+~E(x15804,x15803)),
% 124.65/124.70 inference(scs_inference,[],[14,406])).
% 124.65/124.70 cnf(1860,plain,
% 124.65/124.70 (E(f9(f3(x18601)),f9(f3(x18602)))+~E(x18602,x18601)),
% 124.65/124.70 inference(scs_inference,[],[123,4])).
% 124.65/124.70 cnf(2102,plain,
% 124.65/124.70 (P1(x21021,f7(f3(a2),x21022,a5),a5)+~E(x21021,a1)),
% 124.65/124.70 inference(scs_inference,[],[471,27])).
% 124.65/124.70 cnf(2134,plain,
% 124.65/124.70 (~E(x21341,f3(a2))+P1(a1,f7(x21342,x21341,a5),a5)),
% 124.65/124.70 inference(scs_inference,[],[473,26])).
% 124.65/124.70 cnf(2138,plain,
% 124.65/124.70 (~E(x21381,f3(a2))+P1(a1,f7(x21381,x21382,a5),a5)),
% 124.65/124.70 inference(scs_inference,[],[473,27])).
% 124.65/124.70 cnf(2325,plain,
% 124.65/124.70 (P1(a10,f7(x23251,f3(f3(f6(a1,a8,a5))),a5),a5)),
% 124.65/124.70 inference(scs_inference,[],[22,24,26])).
% 124.65/124.70 cnf(2338,plain,
% 124.65/124.70 (~P1(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),f7(a8,a2,a5),a5)),
% 124.65/124.70 inference(scs_inference,[],[36,24,30])).
% 124.65/124.70 cnf(2341,plain,
% 124.65/124.70 (~E(f3(f3(f6(a1,a8,a5))),f7(a8,a2,a5))),
% 124.65/124.70 inference(scs_inference,[],[22,31,24,16])).
% 124.65/124.70 cnf(2342,plain,
% 124.65/124.70 (~P2(f3(f6(a1,a8,a5)),f3(f7(a8,a2,a5)),f9(a5))),
% 124.65/124.70 inference(scs_inference,[],[22,23,24,28])).
% 124.65/124.70 cnf(2369,plain,
% 124.65/124.70 (~E(x23691,f3(f3(a2)))+P1(a1,x23691,a5)),
% 124.65/124.70 inference(scs_inference,[],[120,2])).
% 124.65/124.70 cnf(2376,plain,
% 124.65/124.70 (~E(f3(f3(a2)),x23761)+P1(a1,f7(x23762,x23761,a5),a5)),
% 124.65/124.70 inference(scs_inference,[],[120,26])).
% 124.65/124.70 cnf(2379,plain,
% 124.65/124.70 (~E(f3(f3(a2)),x23791)+P1(a1,f7(x23791,x23792,a5),a5)),
% 124.65/124.70 inference(scs_inference,[],[120,27])).
% 124.65/124.70 cnf(2417,plain,
% 124.65/124.70 (P1(x24171,f7(f3(f3(a2)),x24172,a5),a5)+~E(a1,x24171)),
% 124.65/124.70 inference(scs_inference,[],[185,27])).
% 124.65/124.70 cnf(2465,plain,
% 124.65/124.70 (~P1(f4(f3(f6(a1,a8,a5)),f3(f7(a8,a2,a5)),a5),f3(f7(a8,a2,a5)),a5)),
% 124.65/124.70 inference(scs_inference,[],[22,2338,2342,25,26,24,27,30])).
% 124.65/124.70 cnf(2468,plain,
% 124.65/124.70 (~P2(x24681,f3(f7(a8,a2,a5)),f9(a5))+~E(x24681,f3(f6(a1,a8,a5)))),
% 124.65/124.70 inference(scs_inference,[],[22,2338,2342,2341,25,26,24,27,30,2,18])).
% 124.65/124.70 cnf(2476,plain,
% 124.65/124.70 (~P1(f4(f3(f6(a1,a8,a5)),f3(f7(a8,a2,a5)),a5),f7(a8,a2,a5),a5)),
% 124.65/124.70 inference(scs_inference,[],[22,2465,26,24])).
% 124.65/124.70 cnf(2480,plain,
% 124.65/124.70 (E(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),a1)),
% 124.65/124.70 inference(scs_inference,[],[22,2338,2465,170,26,24,27,29])).
% 124.65/124.70 cnf(2482,plain,
% 124.65/124.70 (~E(f7(x24821,f3(f3(f6(a1,a8,a5))),a5),f7(a8,a2,a5))),
% 124.65/124.70 inference(scs_inference,[],[22,2338,31,2325,2465,170,26,24,27,29,16])).
% 124.65/124.70 cnf(2483,plain,
% 124.65/124.70 (P1(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),f3(a2),a5)),
% 124.65/124.70 inference(scs_inference,[],[22,2338,31,2325,2465,170,26,24,27,29,16,471])).
% 124.65/124.70 cnf(2486,plain,
% 124.65/124.70 (E(f6(x24861,f6(x24862,x24863,f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5)),x24864),f6(x24861,f6(x24862,x24863,a1),x24864))),
% 124.65/124.70 inference(scs_inference,[],[22,2338,31,2325,2465,170,26,24,27,29,16,471,2102,157])).
% 124.65/124.70 cnf(2487,plain,
% 124.65/124.70 (E(f4(x24871,x24872,f7(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),x24873,x24874)),f4(x24871,x24872,f7(a1,x24873,x24874)))),
% 124.65/124.70 inference(scs_inference,[],[22,2338,31,2325,2465,170,26,24,27,29,16,471,2102,157,165])).
% 124.65/124.70 cnf(2496,plain,
% 124.65/124.70 (E(f3(f6(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),x24961,x24962)),f3(f6(a1,x24961,x24962)))),
% 124.65/124.70 inference(scs_inference,[],[22,2338,31,2325,2465,170,26,24,27,29,16,471,2102,157,165,243,382,386,390,394,402,406,441,1355])).
% 124.65/124.70 cnf(2534,plain,
% 124.65/124.70 (E(f6(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),x25341,x25342),f6(a1,x25341,x25342))),
% 124.65/124.70 inference(scs_inference,[],[22,2338,31,2325,2465,170,26,24,27,29,16,471,2102,157,165,243,382,386,390,394,402,406,441,1355,1359,1363,1367,1371,1375,1379,1381,1383,1395,1399,1403,1407,1430,1435,1439,1443,1447,1451,1475,1479,1483,1487,1495,1499,1503,1507,1515,1551,1555,1559,1563,1568,1572,1576,1580,1860,2468,5])).
% 124.65/124.70 cnf(2535,plain,
% 124.65/124.70 (E(f6(x25351,f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),x25352),f6(x25351,a1,x25352))),
% 124.65/124.70 inference(scs_inference,[],[22,2338,31,2325,2465,170,26,24,27,29,16,471,2102,157,165,243,382,386,390,394,402,406,441,1355,1359,1363,1367,1371,1375,1379,1381,1383,1395,1399,1403,1407,1430,1435,1439,1443,1447,1451,1475,1479,1483,1487,1495,1499,1503,1507,1515,1551,1555,1559,1563,1568,1572,1576,1580,1860,2468,5,6])).
% 124.65/124.70 cnf(2536,plain,
% 124.65/124.70 (E(f4(x25361,x25362,f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5)),f4(x25361,x25362,a1))),
% 124.65/124.70 inference(scs_inference,[],[22,2338,31,2325,2465,170,26,24,27,29,16,471,2102,157,165,243,382,386,390,394,402,406,441,1355,1359,1363,1367,1371,1375,1379,1381,1383,1395,1399,1403,1407,1430,1435,1439,1443,1447,1451,1475,1479,1483,1487,1495,1499,1503,1507,1515,1551,1555,1559,1563,1568,1572,1576,1580,1860,2468,5,6,10])).
% 124.65/124.70 cnf(2538,plain,
% 124.65/124.70 (E(a1,f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5))),
% 124.65/124.70 inference(scs_inference,[],[22,2338,31,2325,2465,170,26,24,27,29,16,471,2102,157,165,243,382,386,390,394,402,406,441,1355,1359,1363,1367,1371,1375,1379,1381,1383,1395,1399,1403,1407,1430,1435,1439,1443,1447,1451,1475,1479,1483,1487,1495,1499,1503,1507,1515,1551,1555,1559,1563,1568,1572,1576,1580,1860,2468,5,6,10,14,2])).
% 124.65/124.70 cnf(2611,plain,
% 124.65/124.70 (P1(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),f3(f7(x26111,f3(a2),a5)),a5)),
% 124.65/124.70 inference(scs_inference,[],[2538,185,200,416])).
% 124.65/124.70 cnf(2616,plain,
% 124.65/124.70 (E(f3(f6(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),x26161,x26162)),f3(f6(a1,x26161,x26162)))),
% 124.65/124.70 inference(rename_variables,[],[2496])).
% 124.65/124.70 cnf(2618,plain,
% 124.65/124.70 (E(f3(f6(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),x26181,x26182)),f3(f6(a1,x26181,x26182)))),
% 124.65/124.70 inference(rename_variables,[],[2496])).
% 124.65/124.70 cnf(2620,plain,
% 124.65/124.70 (E(f6(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),x26201,x26202),f6(a1,x26201,x26202))),
% 124.65/124.70 inference(rename_variables,[],[2534])).
% 124.65/124.70 cnf(2622,plain,
% 124.65/124.70 (E(f3(f6(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),x26221,x26222)),f3(f6(a1,x26221,x26222)))),
% 124.65/124.70 inference(rename_variables,[],[2496])).
% 124.65/124.70 cnf(2624,plain,
% 124.65/124.70 (E(f3(f6(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),x26241,x26242)),f3(f6(a1,x26241,x26242)))),
% 124.65/124.70 inference(rename_variables,[],[2496])).
% 124.65/124.70 cnf(2626,plain,
% 124.65/124.70 (E(f3(f6(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),x26261,x26262)),f3(f6(a1,x26261,x26262)))),
% 124.65/124.70 inference(rename_variables,[],[2496])).
% 124.65/124.70 cnf(2630,plain,
% 124.65/124.70 (~E(f7(x26301,f3(f3(f6(a1,a8,a5))),a5),f7(a8,a2,a5))),
% 124.65/124.70 inference(rename_variables,[],[2482])).
% 124.65/124.70 cnf(2640,plain,
% 124.65/124.70 (~P2(a2,f3(f7(a8,a2,a5)),f9(a5))),
% 124.65/124.70 inference(scs_inference,[],[2476,309,2483,36,172,2496,2616,2618,2622,2624,2626,2534,2620,2482,2630,2538,185,200,416,2417,111,114,173,199,205,226,235,402,26,27,24,2,18,28])).
% 124.65/124.70 cnf(2643,plain,
% 124.65/124.70 (P1(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),f3(f3(f3(a2))),a5)),
% 124.65/124.70 inference(scs_inference,[],[2476,2338,309,2483,36,172,2496,2616,2618,2622,2624,2626,2534,2620,2482,2630,2538,185,200,416,2417,111,114,173,199,205,226,235,402,26,27,24,2,18,28,16,15])).
% 124.65/124.70 cnf(2644,plain,
% 124.65/124.70 (~E(f4(a2,f3(f7(a8,a2,a5)),a5),a10)),
% 124.65/124.70 inference(scs_inference,[],[2476,2338,309,2483,36,172,2496,2616,2618,2622,2624,2626,2534,2620,2482,2630,2538,185,200,416,2417,111,114,173,199,205,226,235,402,26,27,24,2,18,28,16,15,842])).
% 124.65/124.70 cnf(2668,plain,
% 124.65/124.70 (~P1(a1,f7(a8,a2,a5),a5)),
% 124.65/124.70 inference(scs_inference,[],[2476,2338,2643,2486,2535,2538,402,26,27,2,15])).
% 124.65/124.70 cnf(2673,plain,
% 124.65/124.70 (~E(f3(f3(a2)),a8)),
% 124.65/124.70 inference(scs_inference,[],[2476,2338,2643,2486,2535,2538,402,26,27,2,15,2134,2138,2379])).
% 124.65/124.70 cnf(2691,plain,
% 124.65/124.70 (P1(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),f7(f7(x26911,f3(a2),x26912),x26913,x26912),x26912)+~E(a5,x26912)),
% 124.65/124.70 inference(scs_inference,[],[2476,2338,2643,2486,2535,2496,2538,402,26,27,2,15,2134,2138,2379,73,97,120,473,11,12,210,2376,2369,542,554,307,310])).
% 124.65/124.70 cnf(2694,plain,
% 124.65/124.70 (P1(f4(f6(a1,a8,a5),f3(f7(a8,a2,a5)),a5),f7(f7(x26941,f3(a2),a5),x26942,a5),a5)),
% 124.65/124.70 inference(equality_inference,[],[2691])).
% 124.65/124.70 cnf(2704,plain,
% 124.65/124.70 (~P1(f4(a2,f3(f7(a8,a2,a5)),a5),f7(a8,a2,a5),a5)),
% 124.65/124.70 inference(scs_inference,[],[2668,2611,2640,2673,2536,12,11,26,27,2,30,24])).
% 124.65/124.70 cnf(2710,plain,
% 124.65/124.70 (P1(f4(a2,f3(f7(a8,a2,a5)),a5),a2,a5)),
% 124.65/124.70 inference(scs_inference,[],[2644,2668,2611,2694,2640,2673,2487,2536,2480,12,11,26,27,2,30,24,777,29,15,25])).
% 124.65/124.70 cnf(2796,plain,
% 124.65/124.70 ($false),
% 124.65/124.70 inference(scs_inference,[],[2704,2710,26]),
% 124.65/124.70 ['proof']).
% 124.65/124.70 % SZS output end Proof
% 124.65/124.70 % Total time :124.060000s
%------------------------------------------------------------------------------