TSTP Solution File: SWV275-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV275-2 : 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 : n018.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 21:32:39 EDT 2023
% Result : Unsatisfiable 182.32s 182.47s
% Output : CNFRefutation 182.43s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SWV275-2 : TPTP v8.1.2. Released v3.2.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n018.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue Aug 29 04:57:32 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 182.32/182.46 %-------------------------------------------
% 182.32/182.46 % File :CSE---1.6
% 182.32/182.46 % Problem :theBenchmark
% 182.32/182.46 % Transform :cnf
% 182.32/182.46 % Format :tptp:raw
% 182.32/182.46 % Command :java -jar mcs_scs.jar %d %s
% 182.32/182.46
% 182.32/182.46 % Result :Theorem 181.700000s
% 182.32/182.46 % Output :CNFRefutation 181.700000s
% 182.32/182.46 %-------------------------------------------
% 182.32/182.46 %------------------------------------------------------------------------------
% 182.32/182.47 % File : SWV275-2 : TPTP v8.1.2. Released v3.2.0.
% 182.32/182.47 % Domain : Software Verification (Security)
% 182.32/182.47 % Problem : Cryptographic protocol problem for messages
% 182.32/182.47 % Version : [Pau06] axioms : Reduced > Especial.
% 182.32/182.47 % English :
% 182.32/182.47
% 182.32/182.47 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 182.32/182.47 % Source : [Pau06]
% 182.32/182.47 % Names :
% 182.32/182.47
% 182.32/182.47 % Status : Unsatisfiable
% 182.32/182.47 % Rating : 0.19 v8.1.0, 0.21 v7.5.0, 0.26 v7.4.0, 0.24 v7.3.0, 0.17 v7.1.0, 0.08 v7.0.0, 0.20 v6.4.0, 0.13 v6.3.0, 0.18 v6.2.0, 0.10 v6.1.0, 0.36 v6.0.0, 0.40 v5.3.0, 0.50 v5.2.0, 0.44 v5.1.0, 0.41 v5.0.0, 0.29 v4.1.0, 0.38 v4.0.1, 0.45 v4.0.0, 0.27 v3.7.0, 0.30 v3.5.0, 0.27 v3.4.0, 0.17 v3.3.0, 0.36 v3.2.0
% 182.32/182.47 % Syntax : Number of clauses : 9 ( 2 unt; 2 nHn; 6 RR)
% 182.32/182.47 % Number of literals : 18 ( 1 equ; 8 neg)
% 182.32/182.47 % Maximal clause size : 3 ( 2 avg)
% 182.32/182.47 % Maximal term depth : 3 ( 1 avg)
% 182.32/182.47 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 182.32/182.47 % Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% 182.32/182.47 % Number of variables : 25 ( 2 sgn)
% 182.32/182.47 % SPC : CNF_UNS_RFO_SEQ_NHN
% 182.32/182.47
% 182.32/182.47 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 182.32/182.47 % of which only a small selection are required for the refutation.
% 182.32/182.47 % The mission is to find those few axioms, after which a refutation
% 182.32/182.47 % can be quite easily found. This version has only the necessary
% 182.32/182.47 % axioms.
% 182.32/182.47 %------------------------------------------------------------------------------
% 182.32/182.47 cnf(cls_Message_Osynth_OInj_0,axiom,
% 182.32/182.47 ( ~ c_in(V_X,V_H,tc_Message_Omsg)
% 182.32/182.47 | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 182.32/182.47
% 182.32/182.47 cnf(cls_Message_Osynth__mono_0,axiom,
% 182.32/182.47 ( ~ c_lessequals(V_G,V_H,tc_set(tc_Message_Omsg))
% 182.32/182.47 | c_lessequals(c_Message_Osynth(V_G),c_Message_Osynth(V_H),tc_set(tc_Message_Omsg)) ) ).
% 182.32/182.47
% 182.32/182.47 cnf(cls_Set_OinsertCI_0,axiom,
% 182.32/182.47 ( ~ c_in(V_a,V_B,T_a)
% 182.32/182.47 | c_in(V_a,c_insert(V_b,V_B,T_a),T_a) ) ).
% 182.32/182.47
% 182.32/182.47 cnf(cls_Set_OinsertCI_1,axiom,
% 182.32/182.47 c_in(V_x,c_insert(V_x,V_B,T_a),T_a) ).
% 182.32/182.47
% 182.32/182.47 cnf(cls_Set_OinsertE_0,axiom,
% 182.32/182.47 ( ~ c_in(V_a,c_insert(V_b,V_A,T_a),T_a)
% 182.32/182.47 | c_in(V_a,V_A,T_a)
% 182.32/182.47 | V_a = V_b ) ).
% 182.32/182.47
% 182.32/182.47 cnf(cls_Set_OsubsetD_0,axiom,
% 182.32/182.47 ( ~ c_in(V_c,V_A,T_a)
% 182.32/182.47 | ~ c_lessequals(V_A,V_B,tc_set(T_a))
% 182.32/182.47 | c_in(V_c,V_B,T_a) ) ).
% 182.32/182.47
% 182.32/182.47 cnf(cls_Set_OsubsetI_0,axiom,
% 182.32/182.47 ( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
% 182.32/182.47 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 182.32/182.47
% 182.32/182.47 cnf(cls_Set_OsubsetI_1,axiom,
% 182.32/182.47 ( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)
% 182.32/182.47 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 182.32/182.47
% 182.32/182.47 cnf(cls_conjecture_0,negated_conjecture,
% 182.32/182.47 ~ c_lessequals(c_insert(v_X,c_Message_Osynth(v_H),tc_Message_Omsg),c_Message_Osynth(c_insert(v_X,v_H,tc_Message_Omsg)),tc_set(tc_Message_Omsg)) ).
% 182.32/182.47
% 182.32/182.47 %------------------------------------------------------------------------------
% 182.32/182.47 %-------------------------------------------
% 182.32/182.47 % Proof found
% 182.32/182.47 % SZS status Theorem for theBenchmark
% 182.32/182.47 % SZS output start Proof
% 182.32/182.47 %ClaNum:26(EqnAxiom:17)
% 182.32/182.47 %VarNum:56(SingletonVarNum:25)
% 182.32/182.47 %MaxLitNum:3
% 182.32/182.47 %MaxfuncDepth:2
% 182.32/182.47 %SharedTerms:9
% 182.32/182.47 %goalClause: 19
% 182.32/182.47 %singleGoalClaCount:1
% 182.32/182.47 [19]~P2(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),f7(a6))
% 182.32/182.47 [18]P1(x181,f1(x181,x182,x183),x183)
% 182.32/182.47 [20]~P1(x201,x202,a6)+P1(x201,f2(x202),a6)
% 182.32/182.47 [21]~P2(x211,x212,f7(a6))+P2(f2(x211),f2(x212),f7(a6))
% 182.32/182.47 [22]P1(f3(x221,x222,x223),x221,x223)+P2(x221,x222,f7(x223))
% 182.32/182.47 [26]~P1(f3(x261,x262,x263),x262,x263)+P2(x261,x262,f7(x263))
% 182.32/182.47 [24]~P1(x241,x243,x244)+P1(x241,f1(x242,x243,x244),x244)
% 182.32/182.47 [23]P1(x231,x232,x233)+~P1(x231,x234,x233)+~P2(x234,x232,f7(x233))
% 182.32/182.47 [25]E(x251,x252)+P1(x251,x253,x254)+~P1(x251,f1(x252,x253,x254),x254)
% 182.32/182.47 %EqnAxiom
% 182.32/182.47 [1]E(x11,x11)
% 182.32/182.47 [2]E(x22,x21)+~E(x21,x22)
% 182.32/182.47 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 182.32/182.47 [4]~E(x41,x42)+E(f1(x41,x43,x44),f1(x42,x43,x44))
% 182.32/182.47 [5]~E(x51,x52)+E(f1(x53,x51,x54),f1(x53,x52,x54))
% 182.32/182.47 [6]~E(x61,x62)+E(f1(x63,x64,x61),f1(x63,x64,x62))
% 182.32/182.47 [7]~E(x71,x72)+E(f2(x71),f2(x72))
% 182.32/182.47 [8]~E(x81,x82)+E(f3(x81,x83,x84),f3(x82,x83,x84))
% 182.32/182.47 [9]~E(x91,x92)+E(f3(x93,x91,x94),f3(x93,x92,x94))
% 182.32/182.47 [10]~E(x101,x102)+E(f3(x103,x104,x101),f3(x103,x104,x102))
% 182.32/182.47 [11]~E(x111,x112)+E(f7(x111),f7(x112))
% 182.32/182.47 [12]P1(x122,x123,x124)+~E(x121,x122)+~P1(x121,x123,x124)
% 182.32/182.47 [13]P1(x133,x132,x134)+~E(x131,x132)+~P1(x133,x131,x134)
% 182.32/182.47 [14]P1(x143,x144,x142)+~E(x141,x142)+~P1(x143,x144,x141)
% 182.32/182.47 [15]P2(x152,x153,x154)+~E(x151,x152)+~P2(x151,x153,x154)
% 182.32/182.47 [16]P2(x163,x162,x164)+~E(x161,x162)+~P2(x163,x161,x164)
% 182.32/182.47 [17]P2(x173,x174,x172)+~E(x171,x172)+~P2(x173,x174,x171)
% 182.32/182.47
% 182.32/182.47 %-------------------------------------------
% 182.32/182.48 cnf(27,plain,
% 182.32/182.48 (P1(x271,f2(f1(x271,x272,a6)),a6)),
% 182.32/182.48 inference(scs_inference,[],[18,20])).
% 182.32/182.48 cnf(28,plain,
% 182.32/182.48 (P1(x281,f1(x281,x282,x283),x283)),
% 182.32/182.48 inference(rename_variables,[],[18])).
% 182.32/182.48 cnf(29,plain,
% 182.32/182.48 (P1(x291,f1(x292,f1(x291,x293,x294),x294),x294)),
% 182.32/182.48 inference(scs_inference,[],[18,28,20,24])).
% 182.32/182.48 cnf(32,plain,
% 182.32/182.48 (P1(x321,x322,x323)+~P2(f1(x321,x324,x323),x322,f7(x323))),
% 182.32/182.48 inference(scs_inference,[],[19,18,28,20,24,17,23])).
% 182.32/182.48 cnf(50,plain,
% 182.32/182.48 (P1(x501,f1(x502,f2(f1(x501,x503,a6)),a6),a6)),
% 182.32/182.48 inference(scs_inference,[],[27,24])).
% 182.32/182.48 cnf(52,plain,
% 182.32/182.48 (P1(x521,f2(f2(f1(x521,x522,a6))),a6)),
% 182.32/182.48 inference(scs_inference,[],[27,20])).
% 182.32/182.48 cnf(54,plain,
% 182.32/182.48 (P1(x541,x542,a6)+~P2(f2(f1(x541,x543,a6)),x542,f7(a6))),
% 182.32/182.48 inference(scs_inference,[],[27,23])).
% 182.32/182.48 cnf(57,plain,
% 182.32/182.48 (P1(x571,f1(x572,f1(x573,f1(x571,x574,x575),x575),x575),x575)),
% 182.32/182.48 inference(scs_inference,[],[29,24])).
% 182.32/182.48 cnf(59,plain,
% 182.32/182.48 (P1(x591,f2(f1(x592,f1(x591,x593,a6),a6)),a6)),
% 182.32/182.48 inference(scs_inference,[],[29,20])).
% 182.32/182.48 cnf(72,plain,
% 182.32/182.48 (P1(x721,x722,x723)+P1(f3(f1(x721,x724,x723),x722,x723),f1(x721,x724,x723),x723)),
% 182.32/182.48 inference(scs_inference,[],[32,22])).
% 182.32/182.48 cnf(73,plain,
% 182.32/182.48 (P1(x731,f2(x732),a6)+~P2(f1(x731,x733,a6),x732,f7(a6))),
% 182.32/182.48 inference(scs_inference,[],[54,21])).
% 182.32/182.48 cnf(74,plain,
% 182.32/182.48 (~P1(f3(f1(x741,x742,a6),x743,a6),x743,a6)+P1(x741,f2(x743),a6)),
% 182.32/182.48 inference(scs_inference,[],[73,26])).
% 182.32/182.48 cnf(75,plain,
% 182.32/182.48 (~P1(f3(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),x751,a6),f1(a4,a5,a6),a6),f1(a4,a5,a6),a6)),
% 182.32/182.48 inference(scs_inference,[],[19,74,26])).
% 182.32/182.48 cnf(78,plain,
% 182.32/182.48 (P1(x781,x782,a6)+P1(f3(f1(x781,x783,a6),x782,a6),f2(f1(x781,x783,a6)),a6)),
% 182.32/182.48 inference(scs_inference,[],[72,20])).
% 182.32/182.48 cnf(118,plain,
% 182.32/182.48 (P1(x1181,f2(f1(x1182,x1183,a6)),a6)+~E(x1182,x1181)),
% 182.32/182.48 inference(scs_inference,[],[18,12,20])).
% 182.32/182.48 cnf(120,plain,
% 182.32/182.48 (P1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),x1201,a6)+~E(f1(a4,f2(a5),a6),x1201)),
% 182.32/182.48 inference(scs_inference,[],[19,13,22])).
% 182.32/182.48 cnf(121,plain,
% 182.32/182.48 (P1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f1(a4,f2(a5),a6),a6)),
% 182.32/182.48 inference(equality_inference,[],[120])).
% 182.32/182.48 cnf(126,plain,
% 182.32/182.48 (P1(x1261,x1262,a6)+~E(f1(x1263,f2(f1(x1261,x1264,a6)),a6),x1262)),
% 182.32/182.48 inference(scs_inference,[],[50,13])).
% 182.32/182.48 cnf(130,plain,
% 182.32/182.48 (~E(x1301,x1302)+E(f1(x1303,x1302,x1304),f1(x1303,x1301,x1304))),
% 182.32/182.48 inference(scs_inference,[],[2,5])).
% 182.32/182.48 cnf(134,plain,
% 182.32/182.48 (~E(x1341,x1342)+E(f2(x1342),f2(x1341))),
% 182.32/182.48 inference(scs_inference,[],[2,7])).
% 182.32/182.48 cnf(142,plain,
% 182.32/182.49 (P1(x1421,x1422,x1423)+~E(f1(x1424,f1(x1425,f1(x1421,x1426,x1423),x1423),x1423),x1422)),
% 182.32/182.49 inference(scs_inference,[],[57,13])).
% 182.32/182.49 cnf(160,plain,
% 182.32/182.49 (P1(x1601,x1602,a6)+~E(f2(f2(f1(x1601,x1603,a6))),x1602)),
% 182.32/182.49 inference(scs_inference,[],[52,13])).
% 182.32/182.49 cnf(161,plain,
% 182.32/182.49 (~E(f2(f2(f1(x1611,x1612,a6))),x1613)+P1(x1611,f2(x1613),a6)),
% 182.32/182.49 inference(scs_inference,[],[52,13,20])).
% 182.32/182.49 cnf(165,plain,
% 182.32/182.49 (P1(x1651,f2(f2(f2(f1(x1651,x1652,a6)))),a6)),
% 182.32/182.49 inference(equality_inference,[],[161])).
% 182.32/182.49 cnf(174,plain,
% 182.32/182.49 (P1(x1741,x1742,a6)+~E(f2(f1(x1743,f1(x1741,x1744,a6),a6)),x1742)),
% 182.32/182.49 inference(scs_inference,[],[59,13])).
% 182.32/182.49 cnf(175,plain,
% 182.32/182.49 (~E(f2(f1(x1751,f1(x1752,x1753,a6),a6)),x1754)+P1(x1752,f1(x1755,x1754,a6),a6)),
% 182.32/182.49 inference(scs_inference,[],[59,13,24])).
% 182.32/182.49 cnf(179,plain,
% 182.32/182.49 (P1(x1792,f1(x1794,f2(f1(x1791,f1(x1792,x1793,a6),a6)),a6),a6)),
% 182.32/182.49 inference(equality_inference,[],[175])).
% 182.32/182.49 cnf(185,plain,
% 182.32/182.49 (P1(x1851,x1852,x1853)+~E(f1(x1854,f1(x1851,x1855,x1853),x1853),x1852)),
% 182.32/182.49 inference(scs_inference,[],[29,13])).
% 182.32/182.49 cnf(186,plain,
% 182.32/182.49 (~E(f1(x1861,f1(x1862,x1863,x1864),x1864),x1865)+P1(x1862,f1(x1866,x1865,x1864),x1864)),
% 182.32/182.49 inference(scs_inference,[],[29,13,24])).
% 182.32/182.49 cnf(195,plain,
% 182.32/182.49 (~E(x1951,x1952)+P1(x1951,f2(f1(x1952,x1953,a6)),a6)),
% 182.32/182.49 inference(scs_inference,[],[2,118])).
% 182.32/182.49 cnf(197,plain,
% 182.32/182.49 (P1(x1971,x1972,a6)+~E(f2(f1(x1971,x1973,a6)),x1972)),
% 182.32/182.49 inference(scs_inference,[],[27,13])).
% 182.32/182.49 cnf(198,plain,
% 182.32/182.49 (~E(f2(f1(x1981,x1982,a6)),x1983)+P1(x1981,f1(x1984,x1983,a6),a6)),
% 182.32/182.49 inference(scs_inference,[],[27,13,24])).
% 182.32/182.49 cnf(204,plain,
% 182.32/182.49 (~E(x2041,f1(x2042,f2(f1(x2043,x2044,a6)),a6))+P1(x2043,x2041,a6)),
% 182.32/182.49 inference(scs_inference,[],[2,126])).
% 182.32/182.49 cnf(206,plain,
% 182.32/182.49 (~E(x2061,f1(x2062,f1(x2063,f1(x2064,x2065,x2066),x2066),x2066))+P1(x2064,x2061,x2066)),
% 182.32/182.49 inference(scs_inference,[],[2,142])).
% 182.32/182.49 cnf(210,plain,
% 182.32/182.49 (~E(x2101,f2(f2(f1(x2102,x2103,a6))))+P1(x2102,x2101,a6)),
% 182.32/182.49 inference(scs_inference,[],[2,160])).
% 182.32/182.49 cnf(214,plain,
% 182.32/182.49 (~E(x2141,f2(f1(x2142,f1(x2143,x2144,a6),a6)))+P1(x2143,x2141,a6)),
% 182.32/182.49 inference(scs_inference,[],[2,174])).
% 182.32/182.49 cnf(216,plain,
% 182.32/182.49 (P1(x2161,x2162,x2163)+~E(f1(x2161,x2164,x2163),x2162)),
% 182.32/182.49 inference(scs_inference,[],[18,13])).
% 182.32/182.49 cnf(217,plain,
% 182.32/182.49 (~E(f1(x2171,x2172,x2173),x2174)+P1(x2171,f1(x2175,x2174,x2173),x2173)),
% 182.32/182.49 inference(scs_inference,[],[18,13,24])).
% 182.32/182.49 cnf(223,plain,
% 182.32/182.49 (~E(x2231,f1(x2232,f1(x2233,x2234,x2235),x2235))+P1(x2233,x2231,x2235)),
% 182.32/182.49 inference(scs_inference,[],[2,185])).
% 182.32/182.49 cnf(225,plain,
% 182.32/182.49 (~E(x2251,f1(x2252,f1(x2253,x2254,x2255),x2255))+P1(x2253,f1(x2256,x2251,x2255),x2255)),
% 182.32/182.49 inference(scs_inference,[],[2,186])).
% 182.32/182.49 cnf(227,plain,
% 182.32/182.49 (~E(x2271,f2(f1(x2272,x2273,a6)))+P1(x2272,x2271,a6)),
% 182.32/182.49 inference(scs_inference,[],[2,197])).
% 182.32/182.49 cnf(229,plain,
% 182.32/182.49 (~E(x2291,f2(f1(x2292,x2293,a6)))+P1(x2292,f1(x2294,x2291,a6),a6)),
% 182.32/182.49 inference(scs_inference,[],[2,198])).
% 182.32/182.49 cnf(231,plain,
% 182.32/182.49 (~E(x2311,f1(x2312,x2313,x2314))+P1(x2312,x2311,x2314)),
% 182.32/182.49 inference(scs_inference,[],[2,216])).
% 182.32/182.49 cnf(233,plain,
% 182.32/182.49 (~E(x2331,f1(x2332,x2333,x2334))+P1(x2332,f1(x2335,x2331,x2334),x2334)),
% 182.32/182.49 inference(scs_inference,[],[2,217])).
% 182.32/182.49 cnf(243,plain,
% 182.32/182.49 (~E(x2431,a6)+P1(x2432,f2(f1(x2432,x2433,a6)),x2431)),
% 182.32/182.49 inference(scs_inference,[],[27,2,14])).
% 182.32/182.49 cnf(245,plain,
% 182.32/182.49 (P1(x2451,f2(f1(x2451,x2452,a6)),x2453)+~E(a6,x2453)),
% 182.32/182.49 inference(scs_inference,[],[27,14])).
% 182.32/182.49 cnf(252,plain,
% 182.32/182.49 (P1(x2521,x2522,a6)+~E(x2523,x2521)+~E(f1(x2524,f2(f1(x2523,x2525,a6)),a6),x2522)),
% 182.32/182.49 inference(scs_inference,[],[50,12,13])).
% 182.32/182.49 cnf(254,plain,
% 182.32/182.49 (~E(x2541,x2542)+~E(f1(x2543,f2(f1(x2542,x2544,a6)),a6),x2545)+P1(x2541,x2545,a6)),
% 182.32/182.49 inference(scs_inference,[],[252,2])).
% 182.32/182.49 cnf(256,plain,
% 182.32/182.49 (~E(x2561,x2562)+E(f1(x2563,f2(x2561),x2564),f1(x2563,f2(x2562),x2564))),
% 182.32/182.49 inference(scs_inference,[],[7,5])).
% 182.32/182.49 cnf(267,plain,
% 182.32/182.49 (P1(x2671,x2672,x2673)+~E(x2674,x2671)+~E(f1(x2675,f1(x2676,f1(x2674,x2677,x2673),x2673),x2673),x2672)),
% 182.32/182.49 inference(scs_inference,[],[57,12,13])).
% 182.32/182.49 cnf(273,plain,
% 182.32/182.49 (P1(x2731,f1(x2731,x2732,x2733),x2734)+~E(x2733,x2734)),
% 182.32/182.49 inference(scs_inference,[],[18,14])).
% 182.32/182.49 cnf(298,plain,
% 182.32/182.49 (P1(x2981,f1(x2982,x2983,x2984),x2984)+~E(x2982,x2981)),
% 182.32/182.49 inference(scs_inference,[],[18,12])).
% 182.32/182.49 cnf(299,plain,
% 182.32/182.49 (P1(x2991,x2992,x2993)+~E(x2994,x2991)+~E(f1(x2994,x2995,x2993),x2992)),
% 182.32/182.49 inference(scs_inference,[],[18,12,13])).
% 182.32/182.49 cnf(324,plain,
% 182.32/182.49 (P1(x3241,x3242,x3243)+~E(x3244,x3243)+~E(f1(x3245,f1(x3241,x3246,x3244),x3244),x3242)),
% 182.32/182.49 inference(scs_inference,[],[29,14,12,24,13])).
% 182.32/182.49 cnf(354,plain,
% 182.32/182.49 (E(f1(x3541,f2(x3542),x3543),f1(x3541,f2(x3544),x3543))+~E(x3544,x3542)),
% 182.32/182.49 inference(scs_inference,[],[7,130])).
% 182.32/182.49 cnf(362,plain,
% 182.32/182.49 (E(f2(f2(x3621)),f2(f2(x3622)))+~E(x3622,x3621)),
% 182.32/182.49 inference(scs_inference,[],[7,134])).
% 182.32/182.49 cnf(390,plain,
% 182.32/182.49 (~E(f1(x3901,x3902,a6),x3903)+P1(x3901,f2(x3903),a6)),
% 182.32/182.49 inference(scs_inference,[],[7,197])).
% 182.32/182.49 cnf(567,plain,
% 182.32/182.49 (~E(x5671,f1(x5672,x5673,a6))+P1(x5672,f2(x5671),a6)),
% 182.32/182.49 inference(scs_inference,[],[27,134,13])).
% 182.32/182.49 cnf(734,plain,
% 182.32/182.49 (P1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f2(f1(a4,f2(a5),a6)),a6)),
% 182.32/182.49 inference(scs_inference,[],[19,20,22])).
% 182.32/182.49 cnf(735,plain,
% 182.32/182.49 (~P1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f1(a4,a5,a6),a6)),
% 182.32/182.49 inference(scs_inference,[],[19,20,26])).
% 182.32/182.49 cnf(737,plain,
% 182.32/182.49 (P1(x7371,x7372,a6)+~P2(f2(f1(x7373,f1(x7371,x7374,a6),a6)),x7372,f7(a6))),
% 182.32/182.49 inference(scs_inference,[],[29,20,23])).
% 182.32/182.49 cnf(738,plain,
% 182.32/182.49 (P1(x7381,x7382,x7383)+~P2(f1(x7384,f1(x7381,x7385,x7383),x7383),x7382,f7(x7383))),
% 182.32/182.49 inference(scs_inference,[],[29,23])).
% 182.32/182.49 cnf(742,plain,
% 182.32/182.49 (P1(x7421,f2(x7422),a6)+~P2(f1(x7423,f1(x7421,x7424,a6),a6),x7422,f7(a6))),
% 182.32/182.49 inference(scs_inference,[],[737,21])).
% 182.32/182.49 cnf(743,plain,
% 182.32/182.49 (~P1(f3(f1(x7431,f1(x7432,x7433,a6),a6),x7434,a6),x7434,a6)+P1(x7432,f2(x7434),a6)),
% 182.32/182.49 inference(scs_inference,[],[742,26])).
% 182.32/182.49 cnf(744,plain,
% 182.32/182.49 (~P1(f3(f1(x7441,f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),x7442,a6),a6),f1(a4,a5,a6),a6),f1(a4,a5,a6),a6)),
% 182.32/182.49 inference(scs_inference,[],[19,743,26])).
% 182.32/182.49 cnf(746,plain,
% 182.32/182.49 (P1(x7461,x7462,a6)+~P2(f1(x7463,f2(f1(x7461,x7464,a6)),a6),x7462,f7(a6))),
% 182.32/182.49 inference(scs_inference,[],[50,23])).
% 182.32/182.49 cnf(749,plain,
% 182.32/182.49 (~P1(f3(f1(x7491,f2(f1(x7492,x7493,a6)),a6),x7494,a6),x7494,a6)+P1(x7492,x7494,a6)),
% 182.32/182.49 inference(scs_inference,[],[746,26])).
% 182.32/182.49 cnf(753,plain,
% 182.32/182.49 (P1(x7531,x7532,a6)+~P2(f2(f2(f1(x7531,x7533,a6))),x7532,f7(a6))),
% 182.32/182.49 inference(scs_inference,[],[52,23])).
% 182.32/182.49 cnf(758,plain,
% 182.32/182.49 (P1(x7581,f2(x7582),a6)+~P2(f2(f1(x7581,x7583,a6)),x7582,f7(a6))),
% 182.32/182.49 inference(scs_inference,[],[753,21])).
% 182.32/182.49 cnf(762,plain,
% 182.32/182.49 (P1(x7621,x7622,x7623)+~P2(f1(x7624,f1(x7625,f1(x7621,x7626,x7623),x7623),x7623),x7622,f7(x7623))),
% 182.32/182.49 inference(scs_inference,[],[57,23])).
% 182.32/182.49 cnf(765,plain,
% 182.32/182.49 (P1(x7651,x7652,x7653)+~P1(f3(f1(x7654,f1(x7655,f1(x7651,x7656,x7653),x7653),x7653),x7652,x7653),x7652,x7653)),
% 182.32/182.49 inference(scs_inference,[],[762,26])).
% 182.32/182.49 cnf(785,plain,
% 182.32/182.49 (~E(x7851,a6)+P1(x7852,f2(f1(x7852,x7853,x7851)),a6)),
% 182.32/182.49 inference(scs_inference,[],[18,20,14])).
% 182.32/182.49 cnf(788,plain,
% 182.32/182.49 (P1(x7881,f1(x7882,f2(f2(f1(x7881,x7883,a6))),a6),a6)),
% 182.32/182.49 inference(scs_inference,[],[27,20,24])).
% 182.32/182.49 cnf(825,plain,
% 182.32/182.49 (P1(x8251,f1(x8252,x8253,x8254),x8254)+~E(x8251,x8252)),
% 182.32/182.49 inference(scs_inference,[],[216,4])).
% 182.32/182.49 cnf(828,plain,
% 182.32/182.49 (P1(x8281,f1(x8281,x8282,x8283),x8284)+~E(x8284,x8283)),
% 182.32/182.49 inference(scs_inference,[],[216,6])).
% 182.32/182.49 cnf(844,plain,
% 182.32/182.49 (~E(f1(f3(f1(x8441,x8442,a6),x8443,a6),x8444,a6),x8443)+P1(x8441,f2(x8443),a6)),
% 182.32/182.49 inference(scs_inference,[],[216,74])).
% 182.32/182.49 cnf(845,plain,
% 182.32/182.49 (~E(x8451,f1(f3(f1(x8452,x8453,a6),x8451,a6),x8454,a6))+P1(x8452,f2(x8451),a6)),
% 182.32/182.49 inference(scs_inference,[],[844,2])).
% 182.32/182.49 cnf(886,plain,
% 182.32/182.49 (~E(x8861,x8862)+P1(x8863,x8864,x8862)+~P2(f1(x8863,x8865,x8861),x8864,f7(x8862))),
% 182.32/182.49 inference(scs_inference,[],[273,23])).
% 182.32/182.49 cnf(1195,plain,
% 182.32/182.49 (~E(x11951,f3(x11952,f1(x11951,x11953,x11954),x11954))+P2(x11952,f1(x11951,x11953,x11954),f7(x11954))),
% 182.32/182.49 inference(scs_inference,[],[298,26])).
% 182.32/182.49 cnf(1196,plain,
% 182.32/182.49 (~E(f3(x11961,f1(x11962,x11963,x11964),x11964),x11962)+P2(x11961,f1(x11962,x11963,x11964),f7(x11964))),
% 182.32/182.49 inference(scs_inference,[],[1195,2])).
% 182.32/182.49 cnf(1202,plain,
% 182.32/182.49 (~E(x12021,f3(f1(x12022,f1(x12023,x12024,a6),a6),f1(x12021,x12025,a6),a6))+P1(x12023,f2(f1(x12021,x12025,a6)),a6)),
% 182.32/182.49 inference(scs_inference,[],[298,743])).
% 182.32/182.49 cnf(1203,plain,
% 182.32/182.49 (~E(f3(f1(x12031,f1(x12032,x12033,a6),a6),f1(x12034,x12035,a6),a6),x12034)+P1(x12032,f2(f1(x12034,x12035,a6)),a6)),
% 182.43/182.49 inference(scs_inference,[],[1202,2])).
% 182.43/182.49 cnf(1204,plain,
% 182.43/182.49 (~E(f3(f1(x12041,f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),x12042,a6),a6),f1(a4,a5,a6),a6),a4)),
% 182.43/182.49 inference(scs_inference,[],[19,1203,26])).
% 182.43/182.49 cnf(1366,plain,
% 182.43/182.49 (~E(x13661,x13662)+E(f2(f2(x13661)),f2(f2(x13662)))),
% 182.43/182.49 inference(scs_inference,[],[362,2])).
% 182.43/182.49 cnf(1412,plain,
% 182.43/182.49 (~P1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),a5,a6)),
% 182.43/182.49 inference(scs_inference,[],[735,24])).
% 182.43/182.49 cnf(1414,plain,
% 182.43/182.49 (~P1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f2(f1(a4,a5,a6)),a6)),
% 182.43/182.49 inference(scs_inference,[],[19,735,24,26])).
% 182.43/182.49 cnf(1416,plain,
% 182.43/182.49 (P1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f2(f2(f1(a4,f2(a5),a6))),a6)),
% 182.43/182.49 inference(scs_inference,[],[19,735,734,24,26,20])).
% 182.43/182.49 cnf(1424,plain,
% 182.43/182.49 (~E(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),a4)),
% 182.43/182.49 inference(scs_inference,[],[19,735,734,1204,24,26,20,2,73,118,120,130,195])).
% 182.43/182.49 cnf(1438,plain,
% 182.43/182.49 (~P2(f2(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),x14381,a6)),f1(a4,a5,a6),f7(a6))),
% 182.43/182.49 inference(scs_inference,[],[19,735,75,734,1204,24,26,20,2,73,118,120,130,195,197,217,223,225,227,231,233,298,742,758])).
% 182.43/182.49 cnf(1442,plain,
% 182.43/182.49 (~E(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6))),
% 182.43/182.49 inference(scs_inference,[],[19,735,75,734,1204,24,26,20,2,73,118,120,130,195,197,217,223,225,227,231,233,298,742,758,844,13])).
% 182.43/182.49 cnf(1443,plain,
% 182.43/182.49 (~P1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f1(a4,f1(a4,a5,a6),a6),a6)),
% 182.43/182.49 inference(scs_inference,[],[19,735,75,734,1204,24,26,20,2,73,118,120,130,195,197,217,223,225,227,231,233,298,742,758,844,13,25])).
% 182.43/182.49 cnf(1445,plain,
% 182.43/182.49 (~E(f3(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),x14451,a6),f1(a4,a5,a6),a6),a4)),
% 182.43/182.49 inference(scs_inference,[],[19,735,75,734,1204,24,26,20,2,73,118,120,130,195,197,217,223,225,227,231,233,298,742,758,844,13,25,4])).
% 182.43/182.49 cnf(1470,plain,
% 182.43/182.49 (~E(x14701,f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),x14702,a6))+~P2(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),f7(a6))),
% 182.43/182.49 inference(scs_inference,[],[19,735,75,52,734,1204,24,26,20,2,73,118,120,130,195,197,217,223,225,227,231,233,298,742,758,844,13,25,4,1195,32,54,185,186,198,216,229,738,845,5,15,22,1196,14,12,23])).
% 182.43/182.49 cnf(1475,plain,
% 182.43/182.49 (~P2(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),f7(a6))),
% 182.43/182.49 inference(equality_inference,[],[1470])).
% 182.43/182.49 cnf(1543,plain,
% 182.43/182.49 (~E(x15431,x15432)+P1(x15433,x15434,x15431)+~P2(f1(x15433,x15435,x15432),x15434,f7(x15431))),
% 182.43/182.49 inference(scs_inference,[],[828,23])).
% 182.43/182.49 cnf(1561,plain,
% 182.43/182.49 (~P1(x15611,f2(f2(x15612)),x15613)+~E(x15612,x15614)+P1(x15611,f2(f2(x15614)),x15613)),
% 182.43/182.49 inference(scs_inference,[],[1366,13])).
% 182.43/182.49 cnf(1587,plain,
% 182.43/182.49 (P1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f1(x15871,f1(a4,f2(a5),a6),a6),a6)),
% 182.43/182.49 inference(scs_inference,[],[19,24,22])).
% 182.43/182.49 cnf(1590,plain,
% 182.43/182.49 (~E(f1(x15901,x15902,x15903),x15904)+~E(x15901,x15905)+P1(x15905,f1(x15906,x15904,x15903),x15903)),
% 182.43/182.49 inference(scs_inference,[],[24,299])).
% 182.43/182.49 cnf(1592,plain,
% 182.43/182.49 (~E(f1(x15921,f1(x15922,x15923,x15924),x15924),x15925)+~E(x15924,x15926)+P1(x15922,f1(x15927,x15925,x15926),x15926)),
% 182.43/182.49 inference(scs_inference,[],[24,324])).
% 182.43/182.49 cnf(1604,plain,
% 182.43/182.49 (~P2(f1(x16041,x16042,x16043),x16044,f7(x16045))+~E(x16043,x16045)+P1(x16041,f1(x16046,x16044,x16045),x16045)),
% 182.43/182.49 inference(scs_inference,[],[24,886])).
% 182.43/182.49 cnf(1605,plain,
% 182.43/182.49 (~P2(f1(x16052,x16053,x16051),x16054,f7(x16051))+P1(x16052,f1(x16055,x16054,x16051),x16051)),
% 182.43/182.49 inference(equality_inference,[],[1604])).
% 182.43/182.49 cnf(1606,plain,
% 182.43/182.49 (P1(x16061,f1(x16062,x16063,x16064),x16064)+P1(f3(f1(x16061,x16065,x16064),x16063,x16064),f1(x16061,x16065,x16064),x16064)),
% 182.43/182.49 inference(scs_inference,[],[1605,22])).
% 182.43/182.49 cnf(1615,plain,
% 182.43/182.49 (~P2(f2(f1(x16151,x16152,a6)),x16153,f7(a6))+P1(x16151,f1(x16154,x16153,a6),a6)),
% 182.43/182.49 inference(scs_inference,[],[24,54])).
% 182.43/182.49 cnf(1629,plain,
% 182.43/182.49 (~E(x16291,x16292)+~P2(f1(x16293,x16294,x16292),x16295,f7(x16291))+P1(x16293,f1(x16296,x16295,x16291),x16291)),
% 182.43/182.49 inference(scs_inference,[],[24,1543])).
% 182.43/182.49 cnf(1631,plain,
% 182.43/182.49 (~P1(x16311,f2(f2(x16312)),x16313)+~E(x16312,x16314)+P1(x16311,f1(x16315,f2(f2(x16314)),x16313),x16313)),
% 182.43/182.49 inference(scs_inference,[],[24,1561])).
% 182.43/182.49 cnf(1749,plain,
% 182.43/182.49 (P1(x17491,x17492,x17493)+~E(f2(f1(x17491,x17494,a6)),x17492)+~E(x17493,a6)),
% 182.43/182.49 inference(scs_inference,[],[243,13])).
% 182.43/182.49 cnf(1755,plain,
% 182.43/182.49 (P1(x17551,x17552,x17553)+~E(f2(f1(x17551,x17554,a6)),x17552)+~E(a6,x17553)),
% 182.43/182.49 inference(scs_inference,[],[245,13])).
% 182.43/182.49 cnf(1757,plain,
% 182.43/182.49 (P1(x17571,x17572,x17573)+~P2(f2(f1(x17571,x17574,a6)),x17572,f7(x17573))+~E(a6,x17573)),
% 182.43/182.49 inference(scs_inference,[],[245,23])).
% 182.43/182.49 cnf(1761,plain,
% 182.43/182.49 (P1(x17611,x17612,a6)+~E(f2(x17613),x17612)+~E(f1(x17611,x17614,a6),x17613)),
% 182.43/182.49 inference(scs_inference,[],[390,13])).
% 182.43/182.49 cnf(1774,plain,
% 182.43/182.49 (P1(x17741,x17742,a6)+~E(x17743,f1(x17741,x17744,a6))+~P2(f2(x17743),x17742,f7(a6))),
% 182.43/182.49 inference(scs_inference,[],[567,23])).
% 182.43/182.49 cnf(1783,plain,
% 182.43/182.49 (P1(x17831,x17832,a6)+~E(f2(f1(x17831,x17833,x17834)),x17832)+~E(x17834,a6)),
% 182.43/182.49 inference(scs_inference,[],[785,13])).
% 182.43/182.49 cnf(1995,plain,
% 182.43/182.49 (~E(f3(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),a6),a4)),
% 182.43/182.49 inference(scs_inference,[],[1475,1196])).
% 182.43/182.49 cnf(2000,plain,
% 182.43/182.49 (~P1(f3(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),a6),f1(a4,a5,a6),a6)),
% 182.43/182.49 inference(scs_inference,[],[1475,1412,1196,1195,120,26])).
% 182.43/182.49 cnf(2004,plain,
% 182.43/182.49 (~P1(f3(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),a6),a5,a6)),
% 182.43/182.49 inference(scs_inference,[],[735,1442,1475,1412,1196,1195,120,26,2,254,24])).
% 182.43/182.49 cnf(2011,plain,
% 182.43/182.49 (P1(f3(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),a6),f2(f1(a4,f2(a5),a6)),a6)),
% 182.43/182.49 inference(scs_inference,[],[1414,1475,54,22])).
% 182.43/182.49 cnf(2013,plain,
% 182.43/182.49 (P1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f1(x20131,f2(f1(a4,f2(a5),a6)),a6),a6)),
% 182.43/182.49 inference(scs_inference,[],[1414,734,1475,54,22,24])).
% 182.43/182.49 cnf(2017,plain,
% 182.43/182.49 (~P1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f1(a4,f2(f1(a4,a5,a6)),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[1414,1416,734,1424,1475,54,22,24,23,25])).
% 182.43/182.50 cnf(2057,plain,
% 182.43/182.50 (~P2(f2(f1(a4,f2(a5),a6)),a5,f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2011,744,1414,1416,2004,24,13,252,23])).
% 182.43/182.50 cnf(2059,plain,
% 182.43/182.50 (P1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f2(a5),a6)),
% 182.43/182.50 inference(scs_inference,[],[2011,744,1414,1416,121,2004,1424,24,13,252,23,25])).
% 182.43/182.50 cnf(2069,plain,
% 182.43/182.50 (~P1(f3(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),x20691,a6),f1(a4,a5,a6),a6),f1(a4,f1(a4,a5,a6),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2011,75,1445,2004,24,13,25])).
% 182.43/182.50 cnf(2077,plain,
% 182.43/182.50 (~E(f1(a4,f2(a5),a6),f1(a4,f1(a4,a5,a6),a6))),
% 182.43/182.50 inference(scs_inference,[],[75,1443,24,120])).
% 182.43/182.50 cnf(2078,plain,
% 182.43/182.50 (~P1(f3(f2(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),x20781,a6)),f1(a4,a5,a6),a6),f1(a4,a5,a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[75,1438,1443,24,120,26])).
% 182.43/182.50 cnf(2091,plain,
% 182.43/182.50 (P1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f1(x20911,f2(a5),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2059,24])).
% 182.43/182.50 cnf(2093,plain,
% 182.43/182.50 (~P1(f3(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),a6),f1(a4,f1(a4,a5,a6),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2000,2059,1995,24,25])).
% 182.43/182.50 cnf(2105,plain,
% 182.43/182.50 (~P2(f1(f3(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),a6),x21051,a6),f1(a4,a5,a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[75,2000,2059,1995,24,25,233,186,217,738,1605,32])).
% 182.43/182.50 cnf(2107,plain,
% 182.43/182.50 (~P2(f2(f1(f3(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),a6),x21071,a6)),f1(a4,a5,a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[75,2000,2059,1995,24,25,233,186,217,738,1605,32,54])).
% 182.43/182.50 cnf(2116,plain,
% 182.43/182.50 (P1(f3(f2(f1(a4,f2(a5),a6)),a5,a6),f2(f1(a4,f2(a5),a6)),a6)),
% 182.43/182.50 inference(scs_inference,[],[75,2000,2059,2057,1995,2069,1443,24,25,233,186,217,738,1605,32,54,225,227,216,197,185,223,22])).
% 182.43/182.50 cnf(2118,plain,
% 182.43/182.50 (P1(f3(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),a6),f2(f2(f1(a4,f2(a5),a6))),a6)),
% 182.43/182.50 inference(scs_inference,[],[2011,75,2000,2059,2057,1995,2069,1443,24,25,233,186,217,738,1605,32,54,225,227,216,197,185,223,22,20])).
% 182.43/182.50 cnf(2135,plain,
% 182.43/182.50 (~E(f2(f1(f3(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),a6),x21351,a6)),f1(a4,f1(a4,a5,a6),a6))),
% 182.43/182.50 inference(scs_inference,[],[2078,75,165,2077,2093,24,130,5,1604,1631,1749])).
% 182.43/182.50 cnf(2142,plain,
% 182.43/182.50 (~P2(f2(f2(f1(a4,f2(a5),a6))),f1(a4,a5,a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2116,75,2000,2118,24,1629,23])).
% 182.43/182.50 cnf(2150,plain,
% 182.43/182.50 (~E(f1(a4,f2(a5),a6),f1(a4,f2(f1(a4,a5,a6)),a6))),
% 182.43/182.50 inference(scs_inference,[],[2017,120])).
% 182.43/182.50 cnf(2153,plain,
% 182.43/182.50 (~P1(f3(f2(f1(f3(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),a6),x21531,a6)),f1(a4,a5,a6),a6),f1(a4,a5,a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2107,2017,120,1196,26])).
% 182.43/182.50 cnf(2161,plain,
% 182.43/182.50 (~P2(f2(f1(a4,f2(a5),a6)),f1(a4,f1(a4,a5,a6),a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2011,75,2135,2107,788,2017,2093,120,1196,26,1195,24,2,1761,23])).
% 182.43/182.50 cnf(2174,plain,
% 182.43/182.50 (~E(f2(f2(f1(a4,f2(a5),a6))),f1(a4,a5,a6))),
% 182.43/182.50 inference(scs_inference,[],[2153,2000,2118,2150,256,354,24,13])).
% 182.43/182.50 cnf(2181,plain,
% 182.43/182.50 (~P2(f2(f1(f3(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),a6),x21811,a6)),f1(a4,f1(a4,a5,a6),a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2153,2000,2118,2150,2004,2093,256,354,24,13,1605,738,32,54])).
% 182.43/182.50 cnf(2189,plain,
% 182.43/182.50 (P1(f3(f2(f1(a4,f2(a5),a6)),f1(a4,f1(a4,a5,a6),a6),a6),f2(f1(a4,f2(a5),a6)),a6)),
% 182.43/182.50 inference(scs_inference,[],[2116,2153,2000,2118,2150,2161,2004,2093,256,354,24,13,1605,738,32,54,233,217,20,22])).
% 182.43/182.50 cnf(2224,plain,
% 182.43/182.50 (~P1(f3(f2(f2(f1(a4,f2(a5),a6))),f1(a4,a5,a6),a6),f1(a4,a5,a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2142,26])).
% 182.43/182.50 cnf(2231,plain,
% 182.43/182.50 (~P1(f3(f2(f2(f1(a4,f2(a5),a6))),f1(a4,a5,a6),a6),a5,a6)),
% 182.43/182.50 inference(scs_inference,[],[2174,2181,2142,26,1196,1195,2,24])).
% 182.43/182.50 cnf(2253,plain,
% 182.43/182.50 (~E(f3(f2(f2(f1(a4,f2(a5),a6))),f1(a4,a5,a6),a6),a4)),
% 182.43/182.50 inference(scs_inference,[],[2224,825])).
% 182.43/182.50 cnf(2258,plain,
% 182.43/182.50 (~P2(f1(f3(f2(f2(f1(a4,f2(a5),a6))),f1(a4,a5,a6),a6),x22581,a6),f1(a4,a5,a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2224,179,825,24,1605,32])).
% 182.43/182.50 cnf(2276,plain,
% 182.43/182.50 (~P2(f2(f1(a4,f2(a5),a6)),f2(f1(a4,a5,a6)),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2189,2224,1414,734,179,825,24,1605,32,738,217,233,54,20,231,216,223,185,1592,23])).
% 182.43/182.50 cnf(2281,plain,
% 182.43/182.50 (~P2(f1(a4,f2(a5),a6),f1(a4,a5,a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2276,21])).
% 182.43/182.50 cnf(2283,plain,
% 182.43/182.50 (P1(f3(f2(f1(a4,f2(a5),a6)),f2(f1(a4,a5,a6)),a6),f2(f1(a4,f2(a5),a6)),a6)),
% 182.43/182.50 inference(scs_inference,[],[2276,21,22])).
% 182.43/182.50 cnf(2294,plain,
% 182.43/182.50 (~P1(f3(f2(f2(f1(a4,f2(a5),a6))),f1(a4,a5,a6),a6),f1(a4,f1(a4,a5,a6),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2283,2224,2253,24,25])).
% 182.43/182.50 cnf(2297,plain,
% 182.43/182.50 (~P1(f3(f1(a4,f2(a5),a6),f1(a4,a5,a6),a6),f1(a4,a5,a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2283,2224,1414,734,2253,2281,24,25,13,26])).
% 182.43/182.50 cnf(2299,plain,
% 182.43/182.50 (~E(f3(f1(a4,f2(a5),a6),f1(a4,a5,a6),a6),a4)),
% 182.43/182.50 inference(scs_inference,[],[2283,2224,1414,734,2253,2281,24,25,13,26,1196])).
% 182.43/182.50 cnf(2322,plain,
% 182.43/182.50 (P1(f3(f1(f3(f1(a4,f2(a5),a6),f1(a4,a5,a6),a6),x23221,a6),f1(a4,a5,a6),a6),f1(f3(f1(a4,f2(a5),a6),f1(a4,a5,a6),a6),x23221,a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2297,72])).
% 182.43/182.50 cnf(2328,plain,
% 182.43/182.50 (~P1(f3(f1(x23281,f1(x23282,f1(f3(f1(a4,f2(a5),a6),f1(a4,a5,a6),a6),x23283,a6),a6),a6),f1(a4,a5,a6),a6),f1(a4,a5,a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2297,72,1606,749,765])).
% 182.43/182.50 cnf(2337,plain,
% 182.43/182.50 (~P2(f2(f2(f1(f3(f1(a4,f2(a5),a6),f1(a4,a5,a6),a6),x23371,a6))),f1(a4,a5,a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2297,72,1606,749,765,78,126,142,174,206,214,753])).
% 182.43/182.50 cnf(2351,plain,
% 182.43/182.50 (~P1(f3(f1(a4,f2(a5),a6),f1(a4,a5,a6),a6),a5,a6)),
% 182.43/182.50 inference(scs_inference,[],[2297,72,1606,749,765,78,126,142,174,206,214,753,762,229,198,1615,186,225,24])).
% 182.43/182.50 cnf(2367,plain,
% 182.43/182.50 (~P2(f2(f1(f3(f1(a4,f2(a5),a6),f1(a4,a5,a6),a6),x23671,a6)),f1(a4,a5,a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2283,2297,72,1606,749,765,78,126,142,174,206,214,753,762,229,198,1615,186,225,24,298,825,217,233,32,1605,738,20,54])).
% 182.43/182.50 cnf(2381,plain,
% 182.43/182.50 (P1(f3(f1(a4,f2(a5),a6),f1(a4,a5,a6),a6),f1(a4,f2(a5),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2322,2281,24,22])).
% 182.43/182.50 cnf(2385,plain,
% 182.43/182.50 (P1(f3(f1(a4,f2(a5),a6),f1(a4,a5,a6),a6),f2(a5),a6)),
% 182.43/182.50 inference(scs_inference,[],[2322,75,2299,2281,24,22,1774,25])).
% 182.43/182.50 cnf(2416,plain,
% 182.43/182.50 (~P1(f3(f2(f2(f1(f3(f1(a4,f2(a5),a6),f1(a4,a5,a6),a6),x24161,a6))),f1(a4,a5,a6),a6),f1(a4,a5,a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2381,2337,2351,24,746,737,204,160,210,26])).
% 182.43/182.50 cnf(2431,plain,
% 182.43/182.50 (~P1(f3(f1(a4,f2(a5),a6),f1(a4,a5,a6),a6),f1(a4,f1(a4,a5,a6),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2416,2297,2299,24,25])).
% 182.43/182.50 cnf(2445,plain,
% 182.43/182.50 (~P2(f1(f3(f2(f2(f1(a4,f2(a5),a6))),f1(a4,a5,a6),a6),x24451,a6),f1(a4,f1(a4,a5,a6),a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2416,2328,2297,2294,2299,2351,24,25,753,72,762,214,142,206,174,126,825,32])).
% 182.43/182.50 cnf(2451,plain,
% 182.43/182.50 (P1(f3(f1(a4,f2(a5),a6),f1(a4,a5,a6),a6),f2(f1(a4,f2(a5),a6)),a6)),
% 182.43/182.50 inference(scs_inference,[],[2381,2416,2328,735,2297,2231,2294,2299,2351,24,25,753,72,762,214,142,206,174,126,825,32,1605,738,20])).
% 182.43/182.50 cnf(2460,plain,
% 182.43/182.50 (~P2(f2(a5),f1(a4,a5,a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2381,2416,2328,735,2297,2385,2231,2294,2299,2351,24,25,753,72,762,214,142,206,174,126,825,32,1605,738,20,54,231,216,223,185,1755,23])).
% 182.43/182.50 cnf(2471,plain,
% 182.43/182.50 (P1(f3(f2(a5),f1(a4,a5,a6),a6),f2(a5),a6)),
% 182.43/182.50 inference(scs_inference,[],[2451,2460,24,22])).
% 182.43/182.50 cnf(2498,plain,
% 182.43/182.50 (~P1(f3(f2(f1(f3(f1(a4,f2(a5),a6),f1(a4,a5,a6),a6),x24981,a6)),f1(a4,a5,a6),a6),f1(a4,a5,a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2471,2367,2431,24,746,737,204,160,210,26])).
% 182.43/182.50 cnf(2530,plain,
% 182.43/182.50 (P1(f3(f2(a5),f1(a4,a5,a6),a6),f2(f2(a5)),a6)),
% 182.43/182.50 inference(scs_inference,[],[2471,2381,2498,2431,24,23,753,762,206,233,126,217,142,32,1605,20])).
% 182.43/182.50 cnf(2544,plain,
% 182.43/182.50 (P1(f3(f2(a5),f1(a4,a5,a6),a6),f1(x25441,f2(f2(a5)),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2530,24])).
% 182.43/182.50 cnf(2673,plain,
% 182.43/182.50 (~P1(f3(f1(f3(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),a6),x26731,a6),f1(a4,a5,a6),a6),f1(a4,a5,a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2105,1195,26])).
% 182.43/182.50 cnf(2683,plain,
% 182.43/182.50 (~P2(f1(x26831,f1(a4,f2(a5),a6),a6),f1(a4,a5,a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[735,2105,1587,2077,1195,26,197,1196,2,24,1757,23])).
% 182.43/182.50 cnf(2729,plain,
% 182.43/182.50 (P1(f3(f1(x27291,f1(a4,f2(a5),a6),a6),f1(a4,a5,a6),a6),f1(x27291,f1(a4,f2(a5),a6),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2683,22])).
% 182.43/182.50 cnf(2739,plain,
% 182.43/182.50 (~E(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f1(a4,f2(a5),a6),a6),f1(a4,f1(a4,a5,a6),a6))),
% 182.43/182.50 inference(scs_inference,[],[2729,2069,13])).
% 182.43/182.50 cnf(2740,plain,
% 182.43/182.50 (~P1(f3(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),x27401,a6),f1(a4,a5,a6),a6),f1(a4,f1(a4,a5,a6),a6),a6)),
% 182.43/182.50 inference(rename_variables,[],[2069])).
% 182.43/182.50 cnf(2741,plain,
% 182.43/182.50 (P1(f3(f1(x27411,f1(a4,f2(a5),a6),a6),f1(a4,a5,a6),a6),f1(x27411,f1(a4,f2(a5),a6),a6),a6)),
% 182.43/182.50 inference(rename_variables,[],[2729])).
% 182.43/182.50 cnf(2742,plain,
% 182.43/182.50 (~P1(f3(f1(f3(f2(f2(f1(a4,f2(a5),a6))),f1(a4,a5,a6),a6),x27421,a6),f1(a4,a5,a6),a6),f1(a4,a5,a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2729,2258,2069,13,26])).
% 182.43/182.50 cnf(2752,plain,
% 182.43/182.50 (~P2(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f1(a4,f2(a5),a6),a6),f1(a4,f1(a4,a5,a6),a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2729,2741,2673,2258,2069,2740,13,26,1195,1196,24,1774,23])).
% 182.43/182.50 cnf(2791,plain,
% 182.43/182.50 (P1(f3(f2(a5),f1(a4,a5,a6),a6),f1(x27911,f1(x27912,f2(f2(a5)),a6),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2328,2544,1590,24])).
% 182.43/182.50 cnf(2802,plain,
% 182.43/182.50 (~P2(f1(x28021,f2(a5),a6),f1(a4,a5,a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[735,2091,23])).
% 182.43/182.50 cnf(2815,plain,
% 182.43/182.50 (P1(f3(f1(x28151,f2(a5),a6),f1(a4,a5,a6),a6),f1(x28151,f2(a5),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2673,735,2739,2752,2091,23,1195,26,1196,2,24,1783,22])).
% 182.43/182.50 cnf(2819,plain,
% 182.43/182.50 (P1(f3(f1(x28191,f2(a5),a6),f1(a4,a5,a6),a6),f1(x28192,f1(x28191,f2(a5),a6),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2815,24])).
% 182.43/182.50 cnf(2821,plain,
% 182.43/182.50 (~E(f1(x28211,f2(f1(a4,f2(a5),a6)),a6),f1(a4,a5,a6))),
% 182.43/182.50 inference(scs_inference,[],[2815,735,2013,24,13])).
% 182.43/182.50 cnf(2822,plain,
% 182.43/182.50 (P1(f3(f1(x28221,f2(a5),a6),f1(a4,a5,a6),a6),f2(f1(x28221,f2(a5),a6)),a6)),
% 182.43/182.50 inference(scs_inference,[],[2815,735,2013,24,13,20])).
% 182.43/182.50 cnf(2846,plain,
% 182.43/182.50 (P1(f3(f1(x28461,f2(a5),a6),f1(a4,a5,a6),a6),f1(x28462,f2(f1(x28461,f2(a5),a6)),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2822,24])).
% 182.43/182.50 cnf(2848,plain,
% 182.43/182.50 (~P2(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f2(a5),a6),f1(a4,f1(a4,a5,a6),a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2815,2822,2069,24,23])).
% 182.43/182.50 cnf(2867,plain,
% 182.43/182.50 (~P1(f3(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f2(a5),a6),f1(a4,f1(a4,a5,a6),a6),a6),f1(a4,f1(a4,a5,a6),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2848,1196,1195,26])).
% 182.43/182.50 cnf(2870,plain,
% 182.43/182.50 (~P1(f3(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f2(a5),a6),f1(a4,f1(a4,a5,a6),a6),a6),f1(a4,a5,a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2848,2821,1196,1195,26,2,24])).
% 182.43/182.50 cnf(2874,plain,
% 182.43/182.50 (~P2(f1(f3(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f2(a5),a6),f1(a4,f1(a4,a5,a6),a6),a6),x28741,a6),f1(a4,a5,a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2742,2848,2821,1196,1195,26,2,24,1604,1605])).
% 182.43/182.50 cnf(2889,plain,
% 182.43/182.50 (P1(f3(f1(x28891,f2(a5),a6),f1(a4,a5,a6),a6),f2(f2(f1(x28891,f2(a5),a6))),a6)),
% 182.43/182.50 inference(scs_inference,[],[2867,2822,2791,24,217,233,20])).
% 182.43/182.50 cnf(2920,plain,
% 182.43/182.50 (~P1(f3(f1(f3(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f2(a5),a6),f1(a4,f1(a4,a5,a6),a6),a6),x29201,a6),f1(a4,a5,a6),a6),f1(a4,a5,a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2445,2874,2870,1605,1196,26])).
% 182.43/182.50 cnf(2947,plain,
% 182.43/182.50 (~P2(f1(f3(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),a6),x29471,a6),f1(a4,f1(a4,a5,a6),a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2920,2889,2822,2846,2870,2093,24,23,233,217,20,32])).
% 182.43/182.50 cnf(2958,plain,
% 182.43/182.50 (~E(f2(f1(f3(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),f2(a5),a6),f1(a4,f1(a4,a5,a6),a6),a6),f2(a5),a6)),f1(a4,a5,a6))),
% 182.43/182.50 inference(scs_inference,[],[2920,2867,2822,886,13])).
% 182.43/182.50 cnf(2968,plain,
% 182.43/182.50 (P1(f3(f1(x29681,f2(a5),a6),f1(a4,a5,a6),a6),f1(x29682,f1(x29683,f1(x29681,f2(a5),a6),a6),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2819,24])).
% 182.43/182.50 cnf(2981,plain,
% 182.43/182.50 (~P1(f3(f1(f3(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),a6),x29811,a6),f1(a4,f1(a4,a5,a6),a6),a6),f1(a4,f1(a4,a5,a6),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2920,2947,825,1196,26])).
% 182.43/182.50 cnf(2986,plain,
% 182.43/182.50 (~P1(f3(f1(f3(f2(f1(a4,f2(a5),a6)),f1(a4,a5,a6),a6),x29861,a6),f1(a4,f1(a4,a5,a6),a6),a6),f1(a4,a5,a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[2920,2958,2947,825,1196,26,1195,2,24])).
% 182.43/182.50 cnf(3003,plain,
% 182.43/182.50 (P1(f3(f2(a5),f1(a4,a5,a6),a6),f2(f2(f2(a5))),a6)),
% 182.43/182.50 inference(scs_inference,[],[2981,2530,2968,1605,24,233,217,20])).
% 182.43/182.50 cnf(3005,plain,
% 182.43/182.50 (~P2(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),x30051,a6),f1(a4,f1(a4,a5,a6),a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[2981,2530,2968,1443,1605,24,233,217,20,32])).
% 182.43/182.50 cnf(3021,plain,
% 182.43/182.50 (P1(f3(f2(a5),f1(a4,a5,a6),a6),f1(x30211,f2(f2(f2(a5))),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[3003,24])).
% 182.43/182.50 cnf(3031,plain,
% 182.43/182.50 (~P1(f3(f1(f3(f1(a4,f2(a5),a6),f2(f1(a4,a5,a6)),a6),x30311,a6),f1(a4,f1(a4,a5,a6),a6),a6),f1(a4,f1(a4,a5,a6),a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[3005,1196,26])).
% 182.43/182.50 cnf(3049,plain,
% 182.43/182.50 (P1(f3(f2(a5),f1(a4,a5,a6),a6),f2(f2(f2(f2(a5)))),a6)),
% 182.43/182.50 inference(scs_inference,[],[1414,3003,3021,1587,2986,24,13,233,217,1605,20])).
% 182.43/182.50 cnf(3080,plain,
% 182.43/182.50 (~P2(a5,f1(a4,a5,a6),f7(a6))),
% 182.43/182.50 inference(scs_inference,[],[3031,1414,3049,2059,24,23,22,267,21])).
% 182.43/182.50 cnf(3130,plain,
% 182.43/182.50 (P1(f3(a5,f1(a4,a5,a6),a6),a5,a6)),
% 182.43/182.50 inference(scs_inference,[],[3080,22])).
% 182.43/182.50 cnf(3148,plain,
% 182.43/182.50 (P1(f3(a5,f1(a4,a5,a6),a6),f1(x31481,a5,a6),a6)),
% 182.43/182.50 inference(scs_inference,[],[3130,2802,2150,2351,12,1196,26,1195,231,2,24])).
% 182.43/182.50 cnf(3157,plain,
% 182.43/182.50 ($false),
% 182.43/182.50 inference(scs_inference,[],[3148,3080,26]),
% 182.43/182.50 ['proof']).
% 182.43/182.51 % SZS output end Proof
% 182.43/182.51 % Total time :181.700000s
%------------------------------------------------------------------------------