TSTP Solution File: SWV338-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV338-2 : 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 : n007.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 21:33:06 EDT 2023
% Result : Unsatisfiable 62.12s 62.32s
% Output : CNFRefutation 62.20s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SWV338-2 : TPTP v8.1.2. Released v3.2.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n007.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 05:51:13 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 62.12/62.31 %-------------------------------------------
% 62.12/62.31 % File :CSE---1.6
% 62.12/62.31 % Problem :theBenchmark
% 62.12/62.31 % Transform :cnf
% 62.12/62.31 % Format :tptp:raw
% 62.12/62.31 % Command :java -jar mcs_scs.jar %d %s
% 62.12/62.31
% 62.12/62.31 % Result :Theorem 61.530000s
% 62.12/62.31 % Output :CNFRefutation 61.530000s
% 62.12/62.31 %-------------------------------------------
% 62.12/62.32 %------------------------------------------------------------------------------
% 62.12/62.32 % File : SWV338-2 : TPTP v8.1.2. Released v3.2.0.
% 62.12/62.32 % Domain : Software Verification (Security)
% 62.12/62.32 % Problem : Cryptographic protocol problem for Yahalom
% 62.12/62.32 % Version : [Pau06] axioms : Reduced > Especial.
% 62.12/62.32 % English :
% 62.12/62.32
% 62.12/62.32 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 62.12/62.32 % Source : [Pau06]
% 62.12/62.32 % Names :
% 62.12/62.32
% 62.12/62.32 % Status : Unsatisfiable
% 62.12/62.32 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.20 v5.3.0, 0.22 v5.2.0, 0.12 v5.0.0, 0.07 v4.1.0, 0.15 v4.0.1, 0.09 v3.7.0, 0.00 v3.5.0, 0.09 v3.4.0, 0.25 v3.3.0, 0.29 v3.2.0
% 62.12/62.32 % Syntax : Number of clauses : 9 ( 5 unt; 1 nHn; 8 RR)
% 62.12/62.32 % Number of literals : 15 ( 2 equ; 6 neg)
% 62.12/62.32 % Maximal clause size : 4 ( 1 avg)
% 62.12/62.32 % Maximal term depth : 5 ( 2 avg)
% 62.12/62.32 % Number of predicates : 2 ( 1 usr; 0 prp; 2-3 aty)
% 62.12/62.32 % Number of functors : 17 ( 17 usr; 7 con; 0-3 aty)
% 62.12/62.32 % Number of variables : 9 ( 1 sgn)
% 62.12/62.32 % SPC : CNF_UNS_RFO_SEQ_NHN
% 62.12/62.32
% 62.12/62.32 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 62.12/62.32 % of which only a small selection are required for the refutation.
% 62.12/62.32 % The mission is to find those few axioms, after which a refutation
% 62.12/62.32 % can be quite easily found. This version has only the necessary
% 62.12/62.32 % axioms.
% 62.12/62.32 %------------------------------------------------------------------------------
% 62.12/62.32 cnf(cls_Event_Oc_A_58_Aparts_A_Iknows_ASpy_Aevs1_J_A_61_61_62_Ac_A_58_Aused_Aevs1_0,axiom,
% 62.12/62.32 ( ~ c_in(V_c,c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 62.12/62.32 | c_in(V_c,c_Event_Oused(V_evs),tc_Message_Omsg) ) ).
% 62.12/62.32
% 62.12/62.32 cnf(cls_Event_OkeysFor__parts__insert__dest_0,axiom,
% 62.12/62.32 ( ~ c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(V_X,V_G,tc_Message_Omsg))),tc_nat)
% 62.12/62.32 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 62.12/62.32 | c_in(V_K,c_Message_OkeysFor(c_Message_Oparts(c_union(V_G,V_H,tc_Message_Omsg))),tc_nat)
% 62.12/62.32 | c_in(c_Message_Omsg_OKey(c_Message_OinvKey(V_K)),c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 62.12/62.32
% 62.12/62.32 cnf(cls_Public_OinvKey__K_0,axiom,
% 62.12/62.32 ( ~ c_in(V_y,c_Message_OsymKeys,tc_nat)
% 62.12/62.32 | c_Message_OinvKey(V_y) = V_y ) ).
% 62.12/62.32
% 62.12/62.32 cnf(cls_Set_OUn__absorb_0,axiom,
% 62.12/62.32 c_union(V_y,V_y,T_a) = V_y ).
% 62.12/62.32
% 62.12/62.32 cnf(cls_conjecture_0,negated_conjecture,
% 62.12/62.32 c_in(v_K,c_Message_OsymKeys,tc_nat) ).
% 62.12/62.32
% 62.12/62.32 cnf(cls_conjecture_2,negated_conjecture,
% 62.12/62.32 c_in(v_X,c_Message_Osynth(c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_Message_Omsg) ).
% 62.12/62.32
% 62.12/62.32 cnf(cls_conjecture_4,negated_conjecture,
% 62.12/62.32 ~ c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ).
% 62.12/62.32
% 62.12/62.32 cnf(cls_conjecture_5,negated_conjecture,
% 62.12/62.32 c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf),tc_Message_Omsg))),tc_nat) ).
% 62.12/62.32
% 62.12/62.32 cnf(cls_conjecture_6,negated_conjecture,
% 62.12/62.32 ( ~ c_in(v_K,c_Message_OkeysFor(c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evsf))),tc_nat)
% 62.12/62.32 | c_in(c_Message_Omsg_OKey(v_K),c_Event_Oused(v_evsf),tc_Message_Omsg) ) ).
% 62.12/62.32
% 62.12/62.32 %------------------------------------------------------------------------------
% 62.12/62.32 %-------------------------------------------
% 62.12/62.32 % Proof found
% 62.12/62.32 % SZS status Theorem for theBenchmark
% 62.12/62.32 % SZS output start Proof
% 62.12/62.32 %ClaNum:30(EqnAxiom:21)
% 62.12/62.32 %VarNum:21(SingletonVarNum:9)
% 62.12/62.32 %MaxLitNum:4
% 62.12/62.32 %MaxfuncDepth:4
% 62.12/62.32 %SharedTerms:23
% 62.12/62.32 %goalClause: 22 24 25 26 29
% 62.12/62.32 %singleGoalClaCount:4
% 62.12/62.32 [22]P1(a1,a2,a11)
% 62.12/62.32 [26]~P1(f10(a1),f5(a17),a15)
% 62.12/62.32 [24]P1(a16,f13(f6(f4(a3,a17))),a15)
% 62.12/62.32 [25]P1(a1,f8(f7(f14(a16,f4(a3,a17),a15))),a11)
% 62.12/62.32 [23]E(f12(x231,x231,x232),x231)
% 62.12/62.32 [29]P1(f10(a1),f5(a17),a15)+~P1(a1,f8(f7(f4(a3,a17))),a11)
% 62.12/62.32 [27]E(f9(x271),x271)+~P1(x271,a2,a11)
% 62.12/62.32 [28]P1(x281,f5(x282),a15)+~P1(x281,f7(f4(a3,x282)),a15)
% 62.12/62.32 [30]P1(f10(f9(x301)),f7(x302),a15)+~P1(x304,f13(f6(x302)),a15)+~P1(x301,f8(f7(f14(x304,x303,a15))),a11)+P1(x301,f8(f7(f12(x303,x302,a15))),a11)
% 62.12/62.32 %EqnAxiom
% 62.12/62.32 [1]E(x11,x11)
% 62.12/62.32 [2]E(x22,x21)+~E(x21,x22)
% 62.12/62.32 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 62.12/62.32 [4]~E(x41,x42)+E(f12(x41,x43,x44),f12(x42,x43,x44))
% 62.12/62.32 [5]~E(x51,x52)+E(f12(x53,x51,x54),f12(x53,x52,x54))
% 62.12/62.32 [6]~E(x61,x62)+E(f12(x63,x64,x61),f12(x63,x64,x62))
% 62.12/62.32 [7]~E(x71,x72)+E(f4(x71,x73),f4(x72,x73))
% 62.12/62.32 [8]~E(x81,x82)+E(f4(x83,x81),f4(x83,x82))
% 62.12/62.32 [9]~E(x91,x92)+E(f6(x91),f6(x92))
% 62.12/62.32 [10]~E(x101,x102)+E(f13(x101),f13(x102))
% 62.12/62.32 [11]~E(x111,x112)+E(f7(x111),f7(x112))
% 62.12/62.32 [12]~E(x121,x122)+E(f14(x121,x123,x124),f14(x122,x123,x124))
% 62.12/62.32 [13]~E(x131,x132)+E(f14(x133,x131,x134),f14(x133,x132,x134))
% 62.12/62.32 [14]~E(x141,x142)+E(f14(x143,x144,x141),f14(x143,x144,x142))
% 62.12/62.32 [15]~E(x151,x152)+E(f8(x151),f8(x152))
% 62.12/62.32 [16]~E(x161,x162)+E(f9(x161),f9(x162))
% 62.12/62.32 [17]~E(x171,x172)+E(f10(x171),f10(x172))
% 62.12/62.32 [18]~E(x181,x182)+E(f5(x181),f5(x182))
% 62.12/62.32 [19]P1(x192,x193,x194)+~E(x191,x192)+~P1(x191,x193,x194)
% 62.12/62.32 [20]P1(x203,x202,x204)+~E(x201,x202)+~P1(x203,x201,x204)
% 62.12/62.32 [21]P1(x213,x214,x212)+~E(x211,x212)+~P1(x213,x214,x211)
% 62.12/62.32
% 62.12/62.32 %-------------------------------------------
% 62.12/62.33 cnf(31,plain,
% 62.12/62.33 (E(x311,f12(x311,x311,x312))),
% 62.12/62.33 inference(scs_inference,[],[23,2])).
% 62.12/62.33 cnf(32,plain,
% 62.12/62.33 (E(f9(a1),a1)),
% 62.12/62.33 inference(scs_inference,[],[22,23,2,27])).
% 62.12/62.33 cnf(34,plain,
% 62.12/62.33 (P1(a1,a2,f12(a11,a11,x341))),
% 62.12/62.33 inference(scs_inference,[],[22,23,2,27,21])).
% 62.12/62.33 cnf(35,plain,
% 62.12/62.33 (~P1(a1,f8(f7(f4(a3,a17))),a11)),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,2,27,21,29])).
% 62.12/62.34 cnf(37,plain,
% 62.12/62.34 (E(f12(x371,x371,x372),x371)),
% 62.12/62.34 inference(rename_variables,[],[23])).
% 62.12/62.34 cnf(38,plain,
% 62.12/62.34 (E(f10(f12(x381,x381,x382)),f10(x381))),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,37,2,27,21,29,18,17])).
% 62.12/62.34 cnf(39,plain,
% 62.12/62.34 (E(f9(f12(x391,x391,x392)),f9(x391))),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,37,2,27,21,29,18,17,16])).
% 62.12/62.34 cnf(40,plain,
% 62.12/62.34 (E(f8(f12(x401,x401,x402)),f8(x401))),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,37,2,27,21,29,18,17,16,15])).
% 62.12/62.34 cnf(41,plain,
% 62.12/62.34 (E(f14(x411,x412,f12(x413,x413,x414)),f14(x411,x412,x413))),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,37,2,27,21,29,18,17,16,15,14])).
% 62.12/62.34 cnf(42,plain,
% 62.12/62.34 (E(f14(x421,f12(x422,x422,x423),x424),f14(x421,x422,x424))),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,37,2,27,21,29,18,17,16,15,14,13])).
% 62.12/62.34 cnf(43,plain,
% 62.12/62.34 (E(f14(f12(x431,x431,x432),x433,x434),f14(x431,x433,x434))),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,37,2,27,21,29,18,17,16,15,14,13,12])).
% 62.12/62.34 cnf(44,plain,
% 62.12/62.34 (E(f7(f12(x441,x441,x442)),f7(x441))),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,37,2,27,21,29,18,17,16,15,14,13,12,11])).
% 62.12/62.34 cnf(47,plain,
% 62.12/62.34 (E(f4(x471,f12(x472,x472,x473)),f4(x471,x472))),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,37,2,27,21,29,18,17,16,15,14,13,12,11,10,9,8])).
% 62.12/62.34 cnf(48,plain,
% 62.12/62.34 (E(f4(f12(x481,x481,x482),x483),f4(x481,x483))),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,37,2,27,21,29,18,17,16,15,14,13,12,11,10,9,8,7])).
% 62.12/62.34 cnf(49,plain,
% 62.12/62.34 (E(f12(x491,x492,f12(x493,x493,x494)),f12(x491,x492,x493))),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,37,2,27,21,29,18,17,16,15,14,13,12,11,10,9,8,7,6])).
% 62.12/62.34 cnf(50,plain,
% 62.12/62.34 (E(f12(x501,f12(x502,x502,x503),x504),f12(x501,x502,x504))),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,37,2,27,21,29,18,17,16,15,14,13,12,11,10,9,8,7,6,5])).
% 62.12/62.34 cnf(51,plain,
% 62.12/62.34 (E(f12(f12(x511,x511,x512),x513,x514),f12(x511,x513,x514))),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,37,2,27,21,29,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4])).
% 62.12/62.34 cnf(52,plain,
% 62.12/62.34 (~P1(f10(a1),f7(f4(a3,a17)),a15)),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,37,2,27,21,29,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,28])).
% 62.12/62.34 cnf(54,plain,
% 62.12/62.34 (~P1(f10(a1),f12(f5(a17),f5(a17),x541),a15)),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,37,2,27,21,29,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,28,20])).
% 62.12/62.34 cnf(55,plain,
% 62.12/62.34 (E(f12(x551,x551,x552),x551)),
% 62.12/62.34 inference(rename_variables,[],[23])).
% 62.12/62.34 cnf(56,plain,
% 62.12/62.34 (~P1(f12(f10(a1),f10(a1),x561),f5(a17),a15)),
% 62.12/62.34 inference(scs_inference,[],[22,26,23,37,55,2,27,21,29,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,28,20,19])).
% 62.12/62.34 cnf(58,plain,
% 62.12/62.34 (P1(f10(f9(a1)),f7(f4(a3,a17)),a15)+P1(a1,f8(f7(f12(f4(a3,a17),f4(a3,a17),a15))),a11)),
% 62.12/62.34 inference(scs_inference,[],[22,26,24,25,23,37,55,2,27,21,29,18,17,16,15,14,13,12,11,10,9,8,7,6,5,4,28,20,19,30])).
% 62.12/62.34 cnf(62,plain,
% 62.12/62.34 (~P1(f10(a1),f5(a17),f12(a15,a15,x621))),
% 62.12/62.34 inference(scs_inference,[],[23,26,21])).
% 62.12/62.34 cnf(63,plain,
% 62.12/62.34 (E(f12(x631,x631,x632),x631)),
% 62.12/62.34 inference(rename_variables,[],[23])).
% 62.12/62.34 cnf(64,plain,
% 62.12/62.34 (E(f12(x641,x641,x642),f12(x641,x641,x643))),
% 62.12/62.34 inference(scs_inference,[],[23,63,26,31,21,3])).
% 62.12/62.34 cnf(65,plain,
% 62.12/62.34 (E(x651,f12(x651,x651,x652))),
% 62.12/62.34 inference(rename_variables,[],[31])).
% 62.12/62.34 cnf(67,plain,
% 62.12/62.34 (E(x671,f12(x671,x671,x672))),
% 62.12/62.34 inference(rename_variables,[],[31])).
% 62.12/62.34 cnf(68,plain,
% 62.12/62.34 (P1(f12(a1,a1,x681),a2,a11)),
% 62.12/62.34 inference(scs_inference,[],[22,23,63,26,31,65,67,21,3,20,19])).
% 62.12/62.34 cnf(70,plain,
% 62.12/62.34 (P1(a16,f13(f6(f4(a3,a17))),f12(a15,a15,x701))),
% 62.12/62.34 inference(scs_inference,[],[24,31,21])).
% 62.12/62.34 cnf(71,plain,
% 62.12/62.34 (E(x711,f12(x711,x711,x712))),
% 62.12/62.34 inference(rename_variables,[],[31])).
% 62.12/62.34 cnf(72,plain,
% 62.12/62.34 (P1(a1,f12(a2,a2,x721),f12(a11,a11,x722))),
% 62.12/62.34 inference(scs_inference,[],[24,31,71,34,21,20])).
% 62.12/62.34 cnf(73,plain,
% 62.12/62.34 (E(x731,f12(x731,x731,x732))),
% 62.12/62.34 inference(rename_variables,[],[31])).
% 62.12/62.34 cnf(74,plain,
% 62.12/62.34 (P1(f12(a16,a16,x741),f13(f6(f4(a3,a17))),a15)),
% 62.12/62.34 inference(scs_inference,[],[24,31,71,73,34,21,20,19])).
% 62.12/62.34 cnf(78,plain,
% 62.12/62.34 (~P1(f10(a1),f12(f5(a17),f5(a17),x781),f12(a15,a15,x782))),
% 62.12/62.34 inference(scs_inference,[],[25,31,23,62,21,20])).
% 62.12/62.34 cnf(79,plain,
% 62.12/62.34 (E(f12(x791,x791,x792),x791)),
% 62.12/62.34 inference(rename_variables,[],[23])).
% 62.12/62.34 cnf(80,plain,
% 62.12/62.34 (~P1(f12(f10(a1),f10(a1),x801),f5(a17),f12(a15,a15,x802))),
% 62.12/62.34 inference(scs_inference,[],[25,31,23,79,62,21,20,19])).
% 62.12/62.34 cnf(82,plain,
% 62.12/62.34 (~P1(f9(a1),f8(f7(f4(a3,a17))),a11)),
% 62.12/62.34 inference(scs_inference,[],[32,35,19])).
% 62.12/62.34 cnf(83,plain,
% 62.12/62.34 (~P1(f10(a1),f7(f4(a3,a17)),f12(a15,a15,x831))),
% 62.12/62.34 inference(scs_inference,[],[32,23,52,35,19,21])).
% 62.12/62.34 cnf(87,plain,
% 62.12/62.34 (E(f9(f12(a1,a1,x871)),f12(a1,a1,x871))),
% 62.12/62.34 inference(scs_inference,[],[32,23,40,52,68,35,19,21,20,27])).
% 62.12/62.34 cnf(89,plain,
% 62.12/62.34 (E(f10(f9(a1)),f10(a1))),
% 62.12/62.34 inference(scs_inference,[],[32,23,40,52,68,35,19,21,20,27,17])).
% 62.12/62.34 cnf(90,plain,
% 62.12/62.34 (E(f9(f9(a1)),f9(a1))),
% 62.12/62.34 inference(scs_inference,[],[32,23,40,52,68,35,19,21,20,27,17,16])).
% 62.12/62.34 cnf(94,plain,
% 62.12/62.34 (E(f6(f9(a1)),f6(a1))),
% 62.12/62.34 inference(scs_inference,[],[32,23,40,52,68,35,19,21,20,27,17,16,15,13,11,9])).
% 62.12/62.34 cnf(95,plain,
% 62.12/62.34 (~P1(f12(f10(a1),f10(a1),x951),f7(f4(a3,a17)),a15)),
% 62.12/62.34 inference(scs_inference,[],[32,23,40,52,56,68,35,19,21,20,27,17,16,15,13,11,9,28])).
% 62.12/62.34 cnf(97,plain,
% 62.12/62.34 (E(a1,f9(a1))),
% 62.12/62.34 inference(scs_inference,[],[32,23,40,52,56,68,35,19,21,20,27,17,16,15,13,11,9,28,2])).
% 62.12/62.34 cnf(100,plain,
% 62.12/62.34 (E(f14(f9(a1),x1001,x1002),f14(a1,x1001,x1002))),
% 62.12/62.34 inference(scs_inference,[],[32,23,40,52,56,68,35,19,21,20,27,17,16,15,13,11,9,28,2,18,14,12])).
% 62.12/62.34 cnf(104,plain,
% 62.12/62.34 (E(f12(x1041,x1042,f9(a1)),f12(x1041,x1042,a1))),
% 62.12/62.34 inference(scs_inference,[],[32,23,40,52,56,68,35,19,21,20,27,17,16,15,13,11,9,28,2,18,14,12,10,8,7,6])).
% 62.12/62.34 cnf(106,plain,
% 62.12/62.34 (E(f12(f9(a1),x1061,x1062),f12(a1,x1061,x1062))),
% 62.12/62.34 inference(scs_inference,[],[32,23,40,52,56,68,35,19,21,20,27,17,16,15,13,11,9,28,2,18,14,12,10,8,7,6,5,4])).
% 62.12/62.34 cnf(108,plain,
% 62.12/62.34 (E(x1081,f12(x1081,x1081,x1082))),
% 62.12/62.34 inference(rename_variables,[],[31])).
% 62.12/62.34 cnf(109,plain,
% 62.12/62.34 (P1(a1,f12(f12(a2,a2,x1091),f12(a2,a2,x1091),x1092),f12(a11,a11,x1093))),
% 62.12/62.34 inference(scs_inference,[],[25,31,108,72,19,20])).
% 62.12/62.34 cnf(110,plain,
% 62.12/62.34 (E(x1101,f12(x1101,x1101,x1102))),
% 62.12/62.34 inference(rename_variables,[],[31])).
% 62.12/62.34 cnf(111,plain,
% 62.12/62.34 (~P1(f10(a1),f7(f4(a3,a17)),f12(a15,f12(a15,a15,x1111),x1112))),
% 62.12/62.34 inference(scs_inference,[],[25,31,108,50,83,72,19,20,21])).
% 62.12/62.34 cnf(113,plain,
% 62.12/62.34 (E(f9(a1),f12(a1,a1,x1131))),
% 62.12/62.34 inference(scs_inference,[],[25,31,108,110,32,50,83,72,19,20,21,3])).
% 62.12/62.34 cnf(115,plain,
% 62.12/62.34 (E(f12(f9(a1),f9(a1),x1151),a1)),
% 62.12/62.34 inference(scs_inference,[],[23,32,3])).
% 62.12/62.34 cnf(116,plain,
% 62.12/62.34 (E(f12(x1161,x1161,x1162),x1161)),
% 62.12/62.34 inference(rename_variables,[],[23])).
% 62.12/62.34 cnf(117,plain,
% 62.12/62.34 (~P1(f12(f10(a1),f10(a1),x1171),f7(f4(a3,a17)),f12(a15,f12(a15,a15,x1172),x1173))),
% 62.12/62.34 inference(scs_inference,[],[23,116,32,111,3,19])).
% 62.12/62.34 cnf(118,plain,
% 62.12/62.34 (E(f12(x1181,x1181,x1182),x1181)),
% 62.12/62.34 inference(rename_variables,[],[23])).
% 62.12/62.34 cnf(119,plain,
% 62.12/62.34 (~P1(f10(a1),f12(f7(f4(a3,a17)),f7(f4(a3,a17)),x1191),f12(a15,f12(a15,a15,x1192),x1193))),
% 62.12/62.34 inference(scs_inference,[],[23,116,118,32,111,3,19,20])).
% 62.12/62.34 cnf(121,plain,
% 62.12/62.34 (P1(a1,a2,f12(f12(a11,a11,x1211),f12(a11,a11,x1211),x1212))),
% 62.12/62.34 inference(scs_inference,[],[34,31,23,116,118,32,111,3,19,20,21])).
% 62.12/62.34 cnf(125,plain,
% 62.12/62.34 (~P1(f12(f10(a1),f10(a1),x1251),f7(f12(f4(a3,a17),f4(a3,a17),x1252)),f12(a15,f12(a15,a15,x1253),x1254))),
% 62.12/62.34 inference(scs_inference,[],[44,117,20])).
% 62.12/62.34 cnf(127,plain,
% 62.12/62.34 (P1(f12(a1,a1,x1271),a2,f12(a11,a11,x1272))),
% 62.12/62.34 inference(scs_inference,[],[34,31,44,117,20,19])).
% 62.12/62.34 cnf(129,plain,
% 62.12/62.34 (~P1(f12(f10(a1),f10(a1),x1291),f7(f4(a3,a17)),f12(f12(a15,f12(a15,a15,x1292),x1293),f12(a15,f12(a15,a15,x1292),x1293),x1294))),
% 62.12/62.34 inference(scs_inference,[],[34,31,23,44,117,20,19,21])).
% 62.12/62.34 cnf(131,plain,
% 62.12/62.34 (P1(f12(a1,a1,x1311),f12(a2,a2,x1312),f12(a11,a11,x1313))),
% 62.12/62.34 inference(scs_inference,[],[31,127,20])).
% 62.12/62.34 cnf(132,plain,
% 62.12/62.34 (E(x1321,f12(x1321,x1321,x1322))),
% 62.12/62.34 inference(rename_variables,[],[31])).
% 62.12/62.34 cnf(133,plain,
% 62.12/62.34 (P1(a1,a2,f12(a11,f12(a11,a11,x1331),x1332))),
% 62.12/62.34 inference(scs_inference,[],[31,51,127,121,20,21])).
% 62.12/62.34 cnf(135,plain,
% 62.12/62.34 (P1(f12(a1,a1,x1351),f12(f12(a2,a2,x1352),f12(a2,a2,x1352),x1353),f12(a11,a11,x1354))),
% 62.12/62.34 inference(scs_inference,[],[31,132,51,109,127,121,20,21,19])).
% 62.12/62.34 cnf(136,plain,
% 62.12/62.34 (E(x1361,f12(x1361,x1361,x1362))),
% 62.12/62.34 inference(rename_variables,[],[31])).
% 62.12/62.34 cnf(137,plain,
% 62.12/62.34 (E(f9(x1371),f9(f12(x1371,x1371,x1372)))),
% 62.12/62.34 inference(scs_inference,[],[31,132,136,51,109,127,121,20,21,19,16])).
% 62.12/62.34 cnf(138,plain,
% 62.12/62.34 (E(f8(x1381),f8(f12(x1381,x1381,x1382)))),
% 62.12/62.34 inference(scs_inference,[],[31,132,136,51,109,127,121,20,21,19,16,15])).
% 62.12/62.34 cnf(140,plain,
% 62.12/62.34 (E(f6(x1401),f6(f12(x1401,x1401,x1402)))),
% 62.12/62.34 inference(scs_inference,[],[31,132,136,51,109,127,121,20,21,19,16,15,13,9])).
% 62.12/62.34 cnf(141,plain,
% 62.12/62.34 (E(f10(x1411),f10(f12(x1411,x1411,x1412)))),
% 62.12/62.34 inference(scs_inference,[],[31,132,136,38,51,109,127,121,20,21,19,16,15,13,9,2])).
% 62.12/62.34 cnf(142,plain,
% 62.12/62.34 (E(f10(f10(f12(x1421,x1421,x1422))),f10(f10(x1421)))),
% 62.12/62.34 inference(scs_inference,[],[31,132,136,38,51,109,127,121,20,21,19,16,15,13,9,2,17])).
% 62.12/62.34 cnf(143,plain,
% 62.12/62.34 (E(f14(x1431,x1432,x1433),f14(x1431,x1432,f12(x1433,x1433,x1434)))),
% 62.12/62.34 inference(scs_inference,[],[31,132,136,38,51,109,127,121,20,21,19,16,15,13,9,2,17,14])).
% 62.12/62.34 cnf(144,plain,
% 62.12/62.34 (E(f7(x1441),f7(f12(x1441,x1441,x1442)))),
% 62.12/62.34 inference(scs_inference,[],[31,132,136,38,51,109,127,121,20,21,19,16,15,13,9,2,17,14,11])).
% 62.12/62.34 cnf(145,plain,
% 62.12/62.34 (E(f5(f12(x1451,x1451,x1452)),f5(x1451))),
% 62.12/62.34 inference(scs_inference,[],[23,31,132,136,38,51,109,127,121,20,21,19,16,15,13,9,2,17,14,11,18])).
% 62.12/62.34 cnf(146,plain,
% 62.12/62.34 (E(f14(x1461,x1462,x1463),f14(f12(x1461,x1461,x1464),x1462,x1463))),
% 62.12/62.34 inference(scs_inference,[],[23,31,132,136,38,51,109,127,121,20,21,19,16,15,13,9,2,17,14,11,18,12])).
% 62.12/62.34 cnf(147,plain,
% 62.12/62.34 (E(f13(x1471),f13(f12(x1471,x1471,x1472)))),
% 62.12/62.34 inference(scs_inference,[],[23,31,132,136,38,51,109,127,121,20,21,19,16,15,13,9,2,17,14,11,18,12,10])).
% 62.12/62.34 cnf(148,plain,
% 62.12/62.34 (E(f4(x1481,x1482),f4(x1481,f12(x1482,x1482,x1483)))),
% 62.12/62.34 inference(scs_inference,[],[23,31,132,136,38,51,109,127,121,20,21,19,16,15,13,9,2,17,14,11,18,12,10,8])).
% 62.12/62.34 cnf(149,plain,
% 62.12/62.34 (E(f4(x1491,x1492),f4(f12(x1491,x1491,x1493),x1492))),
% 62.12/62.34 inference(scs_inference,[],[23,31,132,136,38,51,109,127,121,20,21,19,16,15,13,9,2,17,14,11,18,12,10,8,7])).
% 62.12/62.34 cnf(150,plain,
% 62.12/62.34 (E(f12(x1501,x1502,x1503),f12(x1501,x1502,f12(x1503,x1503,x1504)))),
% 62.12/62.34 inference(scs_inference,[],[23,31,132,136,38,51,109,127,121,20,21,19,16,15,13,9,2,17,14,11,18,12,10,8,7,6])).
% 62.12/62.34 cnf(151,plain,
% 62.12/62.34 (E(f12(x1511,x1512,x1513),f12(x1511,f12(x1512,x1512,x1514),x1513))),
% 62.12/62.34 inference(scs_inference,[],[23,31,132,136,38,51,109,127,121,20,21,19,16,15,13,9,2,17,14,11,18,12,10,8,7,6,5])).
% 62.12/62.34 cnf(152,plain,
% 62.12/62.34 (E(f12(x1521,x1522,x1523),f12(f12(x1521,x1521,x1524),x1522,x1523))),
% 62.12/62.34 inference(scs_inference,[],[23,31,132,136,38,51,109,127,121,20,21,19,16,15,13,9,2,17,14,11,18,12,10,8,7,6,5,4])).
% 62.12/62.34 cnf(153,plain,
% 62.12/62.34 (~P1(f12(a1,a1,x1531),f8(f7(f4(a3,a17))),a11)),
% 62.12/62.34 inference(scs_inference,[],[23,35,19])).
% 62.12/62.34 cnf(154,plain,
% 62.12/62.34 (E(f12(x1541,x1541,x1542),x1541)),
% 62.12/62.34 inference(rename_variables,[],[23])).
% 62.12/62.34 cnf(155,plain,
% 62.12/62.34 (~P1(f10(a1),f12(f12(f5(a17),f5(a17),x1551),f12(f5(a17),f5(a17),x1551),x1552),f12(a15,a15,x1553))),
% 62.12/62.34 inference(scs_inference,[],[23,154,35,78,19,20])).
% 62.12/62.34 cnf(156,plain,
% 62.12/62.34 (E(f12(x1561,x1561,x1562),x1561)),
% 62.12/62.34 inference(rename_variables,[],[23])).
% 62.12/62.34 cnf(157,plain,
% 62.12/62.34 (P1(f12(a1,a1,x1571),f12(f12(a2,a2,x1572),f12(a2,a2,x1572),x1573),a11)),
% 62.12/62.34 inference(scs_inference,[],[23,154,156,35,135,78,19,20,21])).
% 62.12/62.34 cnf(160,plain,
% 62.12/62.34 (~P1(a1,f8(f7(f4(a3,a17))),f12(a11,a11,x1601))),
% 62.12/62.34 inference(scs_inference,[],[35,23,21])).
% 62.12/62.34 cnf(162,plain,
% 62.12/62.34 (~P1(f10(f12(a1,a1,x1621)),f12(f7(f4(a3,a17)),f7(f4(a3,a17)),x1622),f12(a15,f12(a15,a15,x1623),x1624))),
% 62.12/62.34 inference(scs_inference,[],[38,35,119,23,21,19])).
% 62.12/62.34 cnf(163,plain,
% 62.12/62.34 (E(f10(f12(x1631,x1631,x1632)),f10(x1631))),
% 62.12/62.34 inference(rename_variables,[],[38])).
% 62.12/62.34 cnf(164,plain,
% 62.12/62.34 (~P1(f12(f10(a1),f10(a1),x1641),f5(f12(a17,a17,x1642)),f12(a15,a15,x1643))),
% 62.12/62.34 inference(scs_inference,[],[38,35,145,119,80,23,21,19,20])).
% 62.12/62.34 cnf(166,plain,
% 62.12/62.34 (E(f10(f12(x1661,x1661,x1662)),f12(f10(x1661),f10(x1661),x1663))),
% 62.12/62.34 inference(scs_inference,[],[31,38,163,35,145,119,80,23,21,19,20,3])).
% 62.12/62.34 cnf(170,plain,
% 62.12/62.34 (P1(a1,a2,f12(f12(a11,a11,x1701),a11,x1702))),
% 62.12/62.34 inference(scs_inference,[],[34,32,39,152,3,21])).
% 62.12/62.34 cnf(172,plain,
% 62.12/62.34 (~E(a2,f8(f7(f4(a3,a17))))),
% 62.12/62.34 inference(scs_inference,[],[34,32,39,152,160,3,21,20])).
% 62.12/62.34 cnf(174,plain,
% 62.12/62.34 (P1(f12(f12(a1,a1,x1741),f12(a1,a1,x1741),x1742),f12(a2,a2,x1743),f12(a11,a11,x1744))),
% 62.12/62.34 inference(scs_inference,[],[31,34,32,39,152,131,160,3,21,20,19])).
% 62.12/62.34 cnf(176,plain,
% 62.12/62.34 (~E(f8(f7(f4(a3,a17))),a2)),
% 62.12/62.34 inference(scs_inference,[],[31,34,32,39,152,131,160,3,21,20,19,2])).
% 62.12/62.34 cnf(177,plain,
% 62.12/62.34 (E(f10(f10(x1771)),f10(f10(f12(x1771,x1771,x1772))))),
% 62.12/62.34 inference(scs_inference,[],[142,2])).
% 62.12/62.34 cnf(178,plain,
% 62.12/62.34 (~E(f8(f12(f7(f4(a3,a17)),f7(f4(a3,a17)),x1781)),a2)),
% 62.12/62.34 inference(scs_inference,[],[138,142,176,2,3])).
% 62.12/62.34 cnf(182,plain,
% 62.12/62.34 (P1(f12(a16,a16,x1821),f13(f6(f4(a3,a17))),f12(a15,a15,x1822))),
% 62.12/62.34 inference(scs_inference,[],[138,142,164,176,74,145,31,2,3,20,21])).
% 62.12/62.34 cnf(184,plain,
% 62.12/62.34 (~P1(f10(f12(a1,a1,x1841)),f12(f12(f5(a17),f5(a17),x1842),f12(f5(a17),f5(a17),x1842),x1843),f12(a15,a15,x1844))),
% 62.12/62.34 inference(scs_inference,[],[38,138,142,164,176,155,74,145,31,2,3,20,21,19])).
% 62.12/62.34 cnf(186,plain,
% 62.12/62.34 (E(f14(x1861,f9(f12(x1862,x1862,x1863)),x1864),f14(x1861,f9(x1862),x1864))),
% 62.12/62.34 inference(scs_inference,[],[39,38,138,142,164,176,155,74,145,31,2,3,20,21,19,13])).
% 62.12/62.34 cnf(187,plain,
% 62.12/62.34 (E(f6(f9(f12(x1871,x1871,x1872))),f6(f9(x1871)))),
% 62.12/62.34 inference(scs_inference,[],[39,38,138,142,164,176,155,74,145,31,2,3,20,21,19,13,9])).
% 62.12/62.34 cnf(188,plain,
% 62.12/62.34 (E(f9(f9(f12(x1881,x1881,x1882))),f9(f9(x1881)))),
% 62.12/62.34 inference(scs_inference,[],[39,38,138,142,164,176,155,74,145,31,2,3,20,21,19,13,9,16])).
% 62.12/62.34 cnf(192,plain,
% 62.12/62.34 (E(f7(f9(f12(x1921,x1921,x1922))),f7(f9(x1921)))),
% 62.12/62.34 inference(scs_inference,[],[39,38,138,142,164,176,155,74,145,31,2,3,20,21,19,13,9,16,15,14,18,11])).
% 62.12/62.34 cnf(193,plain,
% 62.12/62.34 (E(f13(f9(f12(x1931,x1931,x1932))),f13(f9(x1931)))),
% 62.12/62.34 inference(scs_inference,[],[39,38,138,142,164,176,155,74,145,31,2,3,20,21,19,13,9,16,15,14,18,11,10])).
% 62.12/62.34 cnf(194,plain,
% 62.12/62.34 (E(f10(f9(f12(x1941,x1941,x1942))),f10(f9(x1941)))),
% 62.12/62.34 inference(scs_inference,[],[39,38,138,142,164,176,155,74,145,31,2,3,20,21,19,13,9,16,15,14,18,11,10,17])).
% 62.12/62.34 cnf(195,plain,
% 62.12/62.34 (E(f14(f9(f12(x1951,x1951,x1952)),x1953,x1954),f14(f9(x1951),x1953,x1954))),
% 62.12/62.34 inference(scs_inference,[],[39,38,138,142,164,176,155,74,145,31,2,3,20,21,19,13,9,16,15,14,18,11,10,17,12])).
% 62.12/62.34 cnf(196,plain,
% 62.12/62.34 (E(f4(x1961,f9(f12(x1962,x1962,x1963))),f4(x1961,f9(x1962)))),
% 62.12/62.34 inference(scs_inference,[],[39,38,138,142,164,176,155,74,145,31,2,3,20,21,19,13,9,16,15,14,18,11,10,17,12,8])).
% 62.12/62.34 cnf(197,plain,
% 62.12/62.34 (E(f4(f9(f12(x1971,x1971,x1972)),x1973),f4(f9(x1971),x1973))),
% 62.12/62.34 inference(scs_inference,[],[39,38,138,142,164,176,155,74,145,31,2,3,20,21,19,13,9,16,15,14,18,11,10,17,12,8,7])).
% 62.12/62.34 cnf(198,plain,
% 62.12/62.34 (E(f12(x1981,x1982,f9(f12(x1983,x1983,x1984))),f12(x1981,x1982,f9(x1983)))),
% 62.12/62.34 inference(scs_inference,[],[39,38,138,142,164,176,155,74,145,31,2,3,20,21,19,13,9,16,15,14,18,11,10,17,12,8,7,6])).
% 62.12/62.34 cnf(208,plain,
% 62.12/62.34 (~P1(f9(f12(a1,a1,x2081)),f8(f7(f4(a3,a17))),a11)),
% 62.12/62.34 inference(scs_inference,[],[38,39,141,147,82,182,178,23,2,3,20,21,19])).
% 62.12/62.34 cnf(210,plain,
% 62.12/62.34 (E(f12(f10(x2101),f10(x2101),x2102),f10(f12(x2101,x2101,x2103)))),
% 62.12/62.34 inference(scs_inference,[],[166,2])).
% 62.12/62.34 cnf(211,plain,
% 62.12/62.34 (E(f14(x2111,f12(x2112,x2112,x2113),f12(x2114,x2114,x2115)),f14(x2111,x2112,x2114))),
% 62.12/62.34 inference(scs_inference,[],[41,42,166,2,3])).
% 62.12/62.34 cnf(214,plain,
% 62.12/62.34 (~E(f12(f12(a2,a2,x2141),f12(a2,a2,x2141),x2142),f8(f7(f4(a3,a17))))),
% 62.12/62.34 inference(scs_inference,[],[41,42,166,153,157,2,3,20])).
% 62.12/62.34 cnf(216,plain,
% 62.12/62.34 (P1(f9(a1),a2,f12(a11,a11,x2161))),
% 62.12/62.34 inference(scs_inference,[],[34,41,42,166,97,153,157,2,3,20,19])).
% 62.12/62.34 cnf(219,plain,
% 62.12/62.34 (~E(f12(a2,a2,x2191),f8(f7(f4(a3,a17))))),
% 62.12/62.34 inference(scs_inference,[],[214,172,31,2,3])).
% 62.12/62.34 cnf(229,plain,
% 62.12/62.34 (E(f14(x2291,f9(x2292),x2293),f14(x2291,f9(f12(x2292,x2292,x2294)),x2293))),
% 62.12/62.34 inference(scs_inference,[],[186,2])).
% 62.12/62.34 cnf(231,plain,
% 62.12/62.34 (E(f14(x2311,x2312,f12(x2313,x2313,x2314)),f14(x2311,x2312,x2313))),
% 62.12/62.34 inference(rename_variables,[],[41])).
% 62.12/62.34 cnf(232,plain,
% 62.12/62.34 (P1(f12(f12(a1,a1,x2321),f12(a1,a1,x2321),x2322),f12(a2,f12(a2,a2,x2323),x2324),f12(a11,a11,x2325))),
% 62.12/62.34 inference(scs_inference,[],[41,43,151,186,174,2,3,20])).
% 62.12/62.34 cnf(234,plain,
% 62.12/62.34 (~P1(f9(f12(a1,a1,x2341)),f8(f7(f4(a3,a17))),f12(a11,a11,x2342))),
% 62.12/62.34 inference(scs_inference,[],[41,43,151,186,174,208,23,2,3,20,21])).
% 62.12/62.34 cnf(241,plain,
% 62.12/62.34 (E(f14(x2411,x2412,f14(x2413,x2414,f12(x2415,x2415,x2416))),f14(x2411,x2412,f14(x2413,x2414,x2415)))),
% 62.12/62.34 inference(scs_inference,[],[41,231,43,137,151,186,174,208,216,23,2,3,20,21,19,13,9,16,14])).
% 62.12/62.34 cnf(245,plain,
% 62.12/62.34 (E(f5(f14(x2451,x2452,f12(x2453,x2453,x2454))),f5(f14(x2451,x2452,x2453)))),
% 62.12/62.34 inference(scs_inference,[],[41,231,43,137,151,186,174,208,216,23,2,3,20,21,19,13,9,16,14,15,11,17,18])).
% 62.12/62.34 cnf(253,plain,
% 62.12/62.34 (~E(f8(f7(f4(a3,a17))),f12(a2,a2,x2531))),
% 62.12/62.34 inference(scs_inference,[],[219,2])).
% 62.12/62.34 cnf(258,plain,
% 62.12/62.34 (P1(f12(f12(a1,a1,x2581),f12(a1,a1,x2581),x2582),f12(a2,f12(a2,a2,x2583),x2584),f12(a11,f12(a11,a11,x2585),x2586))),
% 62.12/62.34 inference(scs_inference,[],[40,219,232,70,147,151,2,3,20,21])).
% 62.12/62.34 cnf(261,plain,
% 62.12/62.34 (E(f6(f9(x2611)),f6(f9(f12(x2611,x2611,x2612))))),
% 62.12/62.34 inference(scs_inference,[],[187,2])).
% 62.12/62.34 cnf(266,plain,
% 62.12/62.34 (~P1(f9(f12(f12(a1,a1,x2661),f12(a1,a1,x2661),x2662)),f8(f7(f4(a3,a17))),f12(a11,a11,x2663))),
% 62.12/62.34 inference(scs_inference,[],[39,187,234,253,95,44,138,2,3,20,19])).
% 62.12/62.34 cnf(272,plain,
% 62.12/62.34 (P1(f12(f12(a1,a1,x2721),f12(a1,a1,x2721),x2722),f12(a2,a2,x2723),f12(a11,f12(a11,a11,x2724),x2725))),
% 62.12/62.34 inference(scs_inference,[],[38,177,258,50,3,20])).
% 62.12/62.34 cnf(277,plain,
% 62.12/62.34 (E(f9(f9(x2771)),f9(f9(f12(x2771,x2771,x2772))))),
% 62.12/62.34 inference(scs_inference,[],[188,2])).
% 62.12/62.34 cnf(279,plain,
% 62.12/62.34 (E(f14(x2791,f12(x2792,x2792,x2793),x2794),f14(x2791,x2792,x2794))),
% 62.12/62.34 inference(rename_variables,[],[42])).
% 62.12/62.34 cnf(283,plain,
% 62.12/62.34 (P1(f9(a1),a2,f12(a11,f12(a11,a11,x2831),x2832))),
% 62.12/62.34 inference(scs_inference,[],[42,43,188,133,97,31,2,3,20,19])).
% 62.12/62.34 cnf(288,plain,
% 62.12/62.34 (E(f14(x2881,x2882,f14(x2883,f12(x2884,x2884,x2885),x2886)),f14(x2881,x2882,f14(x2883,x2884,x2886)))),
% 62.20/62.34 inference(scs_inference,[],[42,279,43,188,133,97,31,2,3,20,19,13,9,16,15,14])).
% 62.20/62.34 cnf(292,plain,
% 62.20/62.34 (E(f5(f14(x2921,f12(x2922,x2922,x2923),x2924)),f5(f14(x2921,x2922,x2924)))),
% 62.20/62.34 inference(scs_inference,[],[42,279,43,188,133,97,31,2,3,20,19,13,9,16,15,14,17,11,10,18])).
% 62.20/62.34 cnf(299,plain,
% 62.20/62.34 (~P1(f10(a1),f7(f12(f4(a3,a17),f4(a3,a17),x2991)),a15)),
% 62.20/62.34 inference(scs_inference,[],[52,44,20])).
% 62.20/62.34 cnf(301,plain,
% 62.20/62.34 (~P1(f10(f9(a1)),f12(f5(a17),f5(a17),x3011),a15)),
% 62.20/62.34 inference(scs_inference,[],[89,54,52,44,20,19])).
% 62.20/62.34 cnf(304,plain,
% 62.20/62.34 (~P1(f10(f9(f12(a1,a1,x3041))),f12(f5(a17),f5(a17),x3042),a15)),
% 62.20/62.34 inference(scs_inference,[],[194,301,51,135,20,19])).
% 62.20/62.34 cnf(306,plain,
% 62.20/62.34 (P1(f9(a1),f12(a2,a2,x3061),f12(a11,f12(a11,a11,x3062),x3063))),
% 62.20/62.34 inference(scs_inference,[],[283,31,20])).
% 62.20/62.34 cnf(313,plain,
% 62.20/62.34 (~P1(f10(f9(f12(f12(a1,a1,x3131),f12(a1,a1,x3131),x3132))),f12(f5(a17),f5(a17),x3133),a15)),
% 62.20/62.34 inference(scs_inference,[],[44,304,299,194,20,19])).
% 62.20/62.34 cnf(334,plain,
% 62.20/62.34 (E(f4(f12(x3341,x3341,x3342),f12(x3343,x3343,x3344)),f4(x3341,x3343))),
% 62.20/62.34 inference(scs_inference,[],[47,48,3])).
% 62.20/62.34 cnf(337,plain,
% 62.20/62.34 (P1(f12(f12(a1,a1,x3371),f12(a1,a1,x3371),x3372),f12(f12(a2,a2,x3373),a2,x3374),f12(a11,f12(a11,a11,x3375),x3376))),
% 62.20/62.34 inference(scs_inference,[],[47,48,272,152,3,20])).
% 62.20/62.34 cnf(350,plain,
% 62.20/62.34 (P1(f12(f12(a1,a1,x3501),f12(a1,a1,x3501),x3502),f12(f12(a2,a2,x3503),f12(a2,a2,x3504),x3505),f12(a11,f12(a11,a11,x3506),x3507))),
% 62.20/62.34 inference(scs_inference,[],[337,313,151,23,21,20])).
% 62.20/62.34 cnf(354,plain,
% 62.20/62.34 (E(f9(f14(f12(x3541,x3541,x3542),x3543,x3544)),f9(f14(x3541,x3543,x3544)))),
% 62.20/62.34 inference(scs_inference,[],[43,210,162,337,313,151,23,21,20,19,16])).
% 62.20/62.34 cnf(372,plain,
% 62.20/62.34 (P1(f9(a1),a2,f12(f12(a11,a11,x3721),a11,x3722))),
% 62.20/62.34 inference(scs_inference,[],[170,97,31,20,19])).
% 62.20/62.34 cnf(383,plain,
% 62.20/62.34 (P1(f12(f12(a1,a1,x3831),f12(a1,a1,x3831),x3832),f12(f12(f12(a2,a2,x3833),f12(a2,a2,x3833),x3834),f12(a2,a2,x3835),x3836),f12(a11,f12(a11,a11,x3837),x3838))),
% 62.20/62.34 inference(scs_inference,[],[350,152,20])).
% 62.20/62.35 cnf(402,plain,
% 62.20/62.35 (E(f12(x4021,f12(x4022,x4023,f12(x4024,x4024,x4025)),x4026),f12(x4021,f12(x4022,x4023,x4024),x4026))),
% 62.20/62.35 inference(scs_inference,[],[49,372,113,31,20,19,16,9,17,13,15,14,10,12,11,8,7,6,5])).
% 62.20/62.35 cnf(404,plain,
% 62.20/62.35 (E(f12(f12(x4041,x4042,f12(x4043,x4043,x4044)),x4045,x4046),f12(f12(x4041,x4042,x4043),x4045,x4046))),
% 62.20/62.35 inference(scs_inference,[],[49,372,113,31,20,19,16,9,17,13,15,14,10,12,11,8,7,6,5,18,4])).
% 62.20/62.35 cnf(414,plain,
% 62.20/62.35 (E(f12(x4141,f12(x4142,x4142,x4143),x4144),f12(x4141,x4142,x4144))),
% 62.20/62.35 inference(rename_variables,[],[50])).
% 62.20/62.35 cnf(415,plain,
% 62.20/62.35 (P1(f12(f12(a1,a1,x4151),f12(a1,a1,x4151),x4152),f12(f12(f12(a2,a2,x4153),f12(a2,a2,x4153),x4154),f12(a2,a2,x4155),x4156),f12(a11,a11,x4157))),
% 62.20/62.35 inference(scs_inference,[],[50,414,383,214,3,21])).
% 62.20/62.35 cnf(416,plain,
% 62.20/62.35 (P1(f12(f12(a1,a1,x4161),f12(a1,a1,x4161),x4162),f12(f12(f12(a2,a2,x4163),f12(a2,a2,x4163),x4164),f12(a2,a2,x4165),x4166),f12(a11,f12(a11,a11,x4167),x4168))),
% 62.20/62.35 inference(rename_variables,[],[383])).
% 62.20/62.35 cnf(417,plain,
% 62.20/62.35 (E(f12(x4171,f12(x4172,x4172,x4173),x4174),f12(x4171,x4172,x4174))),
% 62.20/62.35 inference(rename_variables,[],[50])).
% 62.20/62.35 cnf(418,plain,
% 62.20/62.35 (P1(f12(f12(a1,a1,x4181),f12(a1,a1,x4181),x4182),f12(f12(f12(a2,a2,x4183),f12(a2,a2,x4183),x4184),a2,x4185),f12(a11,f12(a11,a11,x4186),x4187))),
% 62.20/62.35 inference(scs_inference,[],[50,414,417,383,416,214,3,21,20])).
% 62.20/62.35 cnf(419,plain,
% 62.20/62.35 (E(f12(x4191,f12(x4192,x4192,x4193),x4194),f12(x4191,x4192,x4194))),
% 62.20/62.35 inference(rename_variables,[],[50])).
% 62.20/62.35 cnf(420,plain,
% 62.20/62.35 (P1(f12(f12(a1,a1,x4201),a1,x4202),f12(f12(f12(a2,a2,x4203),f12(a2,a2,x4203),x4204),f12(a2,a2,x4205),x4206),f12(a11,f12(a11,a11,x4207),x4208))),
% 62.20/62.35 inference(scs_inference,[],[50,414,417,419,383,416,214,3,21,20,19])).
% 62.20/62.35 cnf(422,plain,
% 62.20/62.35 (~E(f8(f7(f4(a3,a17))),f12(f12(a2,a2,x4221),a2,x4222))),
% 62.20/62.35 inference(scs_inference,[],[50,414,417,419,383,416,214,3,21,20,19,2])).
% 62.20/62.35 cnf(424,plain,
% 62.20/62.35 (E(f12(x4241,f12(x4242,x4242,x4243),f12(x4244,x4244,x4245)),f12(x4241,x4242,x4244))),
% 62.20/62.35 inference(scs_inference,[],[50,49,192,2,3])).
% 62.20/62.35 cnf(425,plain,
% 62.20/62.35 (E(f12(x4251,f12(x4252,x4252,x4253),x4254),f12(x4251,x4252,x4254))),
% 62.20/62.35 inference(rename_variables,[],[50])).
% 62.20/62.35 cnf(426,plain,
% 62.20/62.35 (~P1(f12(f10(a1),f10(a1),x4261),f7(f4(a3,a17)),f12(f12(a15,f12(a15,a15,x4262),x4263),f12(a15,f12(a15,a15,x4262),f12(x4263,x4263,x4264)),x4265))),
% 62.20/62.35 inference(scs_inference,[],[50,49,192,402,129,2,3,21])).
% 62.20/62.35 cnf(428,plain,
% 62.20/62.35 (P1(f12(f12(a1,a1,x4281),f12(a1,a1,x4281),x4282),f12(f12(f12(a2,a2,x4283),f12(a2,a2,x4283),x4284),a2,x4285),f12(a11,a11,x4286))),
% 62.20/62.35 inference(scs_inference,[],[50,425,49,192,402,129,415,2,3,21,20])).
% 62.20/62.35 cnf(429,plain,
% 62.20/62.35 (P1(f12(f12(a1,a1,x4291),f12(a1,a1,x4291),x4292),f12(f12(f12(a2,a2,x4293),f12(a2,a2,x4293),x4294),f12(a2,a2,x4295),x4296),f12(a11,a11,x4297))),
% 62.20/62.35 inference(rename_variables,[],[415])).
% 62.20/62.35 cnf(430,plain,
% 62.20/62.35 (E(f12(x4301,f12(x4302,x4302,x4303),x4304),f12(x4301,x4302,x4304))),
% 62.20/62.35 inference(rename_variables,[],[50])).
% 62.20/62.35 cnf(431,plain,
% 62.20/62.35 (P1(f12(f12(a1,a1,x4311),a1,x4312),f12(f12(f12(a2,a2,x4313),f12(a2,a2,x4313),x4314),f12(a2,a2,x4315),x4316),f12(a11,a11,x4317))),
% 62.20/62.35 inference(scs_inference,[],[50,425,430,49,192,402,129,415,429,2,3,21,20,19])).
% 62.20/62.35 cnf(434,plain,
% 62.20/62.35 (~E(f8(f7(f4(a3,a17))),f12(f12(f12(a2,a2,x4341),f12(a2,a2,x4341),x4342),a2,x4343))),
% 62.20/62.35 inference(scs_inference,[],[51,422,3])).
% 62.20/62.35 cnf(435,plain,
% 62.20/62.35 (E(f12(f12(x4351,x4351,x4352),x4353,x4354),f12(x4351,x4353,x4354))),
% 62.20/62.35 inference(rename_variables,[],[51])).
% 62.20/62.35 cnf(436,plain,
% 62.20/62.35 (~P1(f12(f10(a1),f10(a1),x4361),f7(f12(f4(a3,a17),f4(a3,a17),x4362)),f12(f12(a15,a15,x4363),f12(a15,a15,x4364),x4365))),
% 62.20/62.35 inference(scs_inference,[],[51,435,422,125,3,21])).
% 62.20/62.35 cnf(438,plain,
% 62.20/62.35 (E(f12(f12(x4381,x4381,x4382),x4383,x4384),f12(x4381,x4383,x4384))),
% 62.20/62.35 inference(rename_variables,[],[51])).
% 62.20/62.35 cnf(441,plain,
% 62.20/62.35 (E(f12(f12(x4411,x4411,x4412),x4413,x4414),f12(x4411,x4413,x4414))),
% 62.20/62.35 inference(rename_variables,[],[51])).
% 62.20/62.35 cnf(442,plain,
% 62.20/62.35 (~P1(f12(f12(f10(a1),f10(a1),x4421),f10(a1),x4422),f7(f4(a3,a17)),f12(f12(a15,f12(a15,a15,x4423),x4424),f12(a15,f12(a15,a15,x4423),f12(x4424,x4424,x4425)),x4426))),
% 62.20/62.35 inference(scs_inference,[],[51,435,438,441,426,422,125,155,3,21,20,19])).
% 62.20/62.35 cnf(457,plain,
% 62.20/62.35 (E(f7(f4(x4571,f12(x4572,x4572,x4573))),f7(f4(x4571,x4572)))),
% 62.20/62.35 inference(scs_inference,[],[47,51,435,438,441,426,422,125,155,3,21,20,19,16,9,17,15,13,14,10,7,6,5,18,12,11])).
% 62.20/62.35 cnf(462,plain,
% 62.20/62.35 (~E(f12(a2,f12(a2,a2,x4621),x4622),f8(f7(f4(a3,a17))))),
% 62.20/62.35 inference(scs_inference,[],[51,193,214,2,3])).
% 62.20/62.35 cnf(464,plain,
% 62.20/62.35 (E(f12(f12(x4641,x4641,x4642),x4643,x4644),f12(x4641,x4643,x4644))),
% 62.20/62.35 inference(rename_variables,[],[51])).
% 62.20/62.35 cnf(467,plain,
% 62.20/62.35 (E(f12(x4671,f12(x4672,x4672,x4673),x4674),f12(x4671,x4672,x4674))),
% 62.20/62.35 inference(rename_variables,[],[50])).
% 62.20/62.35 cnf(468,plain,
% 62.20/62.35 (P1(f12(f12(a1,a1,x4681),a1,x4682),f12(f12(f12(a2,a2,x4683),f12(a2,a2,x4683),x4684),a2,x4685),f12(a11,f12(a11,a11,x4686),x4687))),
% 62.20/62.35 inference(scs_inference,[],[51,50,467,193,420,306,214,2,3,21,20])).
% 62.20/62.35 cnf(470,plain,
% 62.20/62.35 (P1(f12(a1,f12(a1,a1,x4701),x4702),f12(f12(f12(a2,a2,x4703),f12(a2,a2,x4703),x4704),a2,x4705),f12(a11,f12(a11,a11,x4706),x4707))),
% 62.20/62.35 inference(scs_inference,[],[51,464,50,467,193,418,420,306,214,2,3,21,20,19])).
% 62.20/62.35 cnf(472,plain,
% 62.20/62.35 (~E(f8(f7(f4(a3,a17))),f12(a2,f12(a2,a2,x4721),x4722))),
% 62.20/62.35 inference(scs_inference,[],[462,2])).
% 62.20/62.35 cnf(477,plain,
% 62.20/62.35 (P1(f12(f12(a1,a1,x4771),f12(a1,a1,x4771),x4772),f12(f12(a2,a2,x4773),a2,x4774),f12(a11,a11,x4775))),
% 62.20/62.35 inference(scs_inference,[],[48,51,148,404,442,462,428,2,3,21,20])).
% 62.20/62.35 cnf(478,plain,
% 62.20/62.35 (P1(f12(f12(a1,a1,x4781),f12(a1,a1,x4781),x4782),f12(f12(f12(a2,a2,x4783),f12(a2,a2,x4783),x4784),a2,x4785),f12(a11,a11,x4786))),
% 62.20/62.35 inference(rename_variables,[],[428])).
% 62.20/62.35 cnf(479,plain,
% 62.20/62.35 (E(f12(f12(x4791,x4791,x4792),x4793,x4794),f12(x4791,x4793,x4794))),
% 62.20/62.35 inference(rename_variables,[],[51])).
% 62.20/62.35 cnf(480,plain,
% 62.20/62.35 (P1(f12(a1,f12(a1,a1,x4801),x4802),f12(f12(f12(a2,a2,x4803),f12(a2,a2,x4803),x4804),a2,x4805),f12(a11,a11,x4806))),
% 62.20/62.35 inference(scs_inference,[],[48,51,479,148,404,442,462,428,478,2,3,21,20,19])).
% 62.20/62.35 cnf(484,plain,
% 62.20/62.35 (~E(f8(f7(f4(a3,a17))),f12(f12(f12(a2,a2,x4841),f12(a2,a2,x4841),x4842),f12(a2,a2,x4843),x4844))),
% 62.20/62.35 inference(scs_inference,[],[50,195,434,2,3])).
% 62.20/62.35 cnf(485,plain,
% 62.20/62.35 (E(f12(x4851,f12(x4852,x4852,x4853),x4854),f12(x4851,x4852,x4854))),
% 62.20/62.35 inference(rename_variables,[],[50])).
% 62.20/62.35 cnf(486,plain,
% 62.20/62.35 (~P1(f12(f10(a1),f10(a1),x4861),f7(f12(f4(a3,a17),f4(a3,a17),x4862)),f12(f12(a15,a15,x4863),f12(f12(a15,a15,x4864),f12(a15,a15,x4864),x4865),x4866))),
% 62.20/62.35 inference(scs_inference,[],[50,485,195,436,434,2,3,21])).
% 62.20/62.35 cnf(489,plain,
% 62.20/62.35 (~P1(f10(a1),f7(f4(a3,f12(a17,a17,x4891))),a15)),
% 62.20/62.35 inference(scs_inference,[],[52,50,485,195,457,436,434,2,3,21,20])).
% 62.20/62.35 cnf(491,plain,
% 62.20/62.35 (~P1(f10(f9(a1)),f7(f4(a3,a17)),a15)),
% 62.20/62.35 inference(scs_inference,[],[52,50,485,195,457,436,434,89,2,3,21,20,19])).
% 62.20/62.35 cnf(492,plain,
% 62.20/62.35 (P1(a1,f8(f7(f12(f4(a3,a17),f4(a3,a17),a15))),a11)),
% 62.20/62.35 inference(scs_inference,[],[52,50,485,195,457,436,434,89,2,3,21,20,19,58])).
% 62.20/62.35 cnf(495,plain,
% 62.20/62.35 (~E(f12(f12(f12(a2,a2,x4951),f12(a2,a2,x4951),x4952),f12(a2,a2,x4953),x4954),f8(f7(f4(a3,a17))))),
% 62.20/62.35 inference(scs_inference,[],[484,2])).
% 62.20/62.35 cnf(498,plain,
% 62.20/62.35 (P1(f12(f12(a1,a1,x4981),a1,x4982),f12(f12(a2,a2,x4983),a2,x4984),f12(a11,f12(a11,a11,x4985),x4986))),
% 62.20/62.35 inference(scs_inference,[],[51,492,484,468,31,2,21,20])).
% 62.20/62.35 cnf(499,plain,
% 62.20/62.35 (E(f12(f12(x4991,x4991,x4992),x4993,x4994),f12(x4991,x4993,x4994))),
% 62.20/62.35 inference(rename_variables,[],[51])).
% 62.20/62.35 cnf(501,plain,
% 62.20/62.35 (E(f12(f12(x5011,x5011,x5012),x5013,x5014),f12(x5011,x5013,x5014))),
% 62.20/62.35 inference(rename_variables,[],[51])).
% 62.20/62.35 cnf(504,plain,
% 62.20/62.35 (E(f10(f12(f12(x5041,x5041,x5042),x5043,x5044)),f10(f12(x5041,x5043,x5044)))),
% 62.20/62.35 inference(scs_inference,[],[51,499,501,492,484,468,31,2,21,20,19,16,9,17])).
% 62.20/62.35 cnf(508,plain,
% 62.20/62.35 (E(f12(x5081,f12(f12(x5082,x5082,x5083),x5084,x5085),x5086),f12(x5081,f12(x5082,x5084,x5085),x5086))),
% 62.20/62.35 inference(scs_inference,[],[51,499,501,492,484,468,31,2,21,20,19,16,9,17,15,13,6,5])).
% 62.20/62.35 cnf(516,plain,
% 62.20/62.35 (E(f12(f12(f12(x5161,x5161,x5162),x5163,x5164),x5165,x5166),f12(f12(x5161,x5163,x5164),x5165,x5166))),
% 62.20/62.35 inference(scs_inference,[],[51,499,501,492,484,468,31,2,21,20,19,16,9,17,15,13,6,5,18,14,12,11,10,7,8,4])).
% 62.20/62.35 cnf(517,plain,
% 62.20/62.35 (E(f12(f12(x5171,x5171,x5172),x5173,f12(x5174,x5174,x5175)),f12(x5171,x5173,x5174))),
% 62.20/62.35 inference(scs_inference,[],[49,51,499,501,492,484,468,31,2,21,20,19,16,9,17,15,13,6,5,18,14,12,11,10,7,8,4,3])).
% 62.20/62.35 cnf(520,plain,
% 62.20/62.35 (~E(f8(f7(f4(a3,a17))),f12(a2,f12(f12(a2,a2,x5201),f12(a2,a2,x5201),x5202),x5203))),
% 62.20/62.35 inference(scs_inference,[],[50,196,472,2,3])).
% 62.20/62.35 cnf(522,plain,
% 62.20/62.35 (~P1(f12(f10(a1),f10(a1),x5221),f7(f12(f4(a3,a17),f4(a3,a17),x5222)),f12(f12(f12(a15,a15,x5223),f12(a15,a15,x5223),x5224),f12(f12(a15,a15,x5225),f12(a15,a15,x5225),x5226),f12(x5227,x5227,x5228)))),
% 62.20/62.35 inference(scs_inference,[],[50,196,517,486,472,2,3,21])).
% 62.20/62.35 cnf(529,plain,
% 62.20/62.35 (~P1(f9(f12(f12(a1,a1,x5291),f12(a1,a1,x5291),x5292)),f8(f7(f4(a3,a17))),f12(a11,f12(a11,a11,x5293),x5294))),
% 62.20/62.35 inference(scs_inference,[],[50,520,266,2,21])).
% 62.20/62.35 cnf(543,plain,
% 62.20/62.35 (E(f12(x5431,f12(x5432,x5432,x5433),x5434),f12(x5431,x5432,x5434))),
% 62.20/62.35 inference(rename_variables,[],[50])).
% 62.20/62.35 cnf(546,plain,
% 62.20/62.35 (P1(f12(a1,a1,x5461),f12(f12(f12(a2,a2,x5462),f12(a2,a2,x5462),x5463),f12(a2,a2,x5464),x5465),f12(a11,a11,x5466))),
% 62.20/62.35 inference(scs_inference,[],[50,543,51,197,431,498,2,21,20,19])).
% 62.20/62.35 cnf(550,plain,
% 62.20/62.35 (E(f12(f12(x5501,x5501,x5502),x5503,x5504),f12(x5501,x5503,x5504))),
% 62.20/62.35 inference(rename_variables,[],[51])).
% 62.20/62.35 cnf(552,plain,
% 62.20/62.35 (E(f12(f12(x5521,x5521,x5522),x5523,x5524),f12(x5521,x5523,x5524))),
% 62.20/62.35 inference(rename_variables,[],[51])).
% 62.20/62.35 cnf(553,plain,
% 62.20/62.35 (P1(f12(a1,f12(a1,a1,x5531),x5532),f12(f12(a2,a2,x5533),a2,x5534),f12(a11,f12(a11,a11,x5535),x5536))),
% 62.20/62.35 inference(scs_inference,[],[51,550,552,62,495,470,3,21,20])).
% 62.20/62.35 cnf(555,plain,
% 62.20/62.35 (E(f12(f12(x5551,x5551,x5552),x5553,x5554),f12(x5551,x5553,x5554))),
% 62.20/62.35 inference(rename_variables,[],[51])).
% 62.20/62.35 cnf(565,plain,
% 62.20/62.35 (E(f14(f12(x5651,x5651,x5652),x5653,x5654),f14(f12(x5651,x5651,x5655),x5653,x5654))),
% 62.20/62.35 inference(scs_inference,[],[51,550,552,555,62,64,143,495,470,477,3,21,20,19,17,16,9,15,13,14,12])).
% 62.20/62.35 cnf(570,plain,
% 62.20/62.35 (E(f12(x5701,f12(x5702,x5702,x5703),x5704),f12(x5701,f12(x5702,x5702,x5705),x5704))),
% 62.20/62.35 inference(scs_inference,[],[51,550,552,555,62,64,143,495,470,477,3,21,20,19,17,16,9,15,13,14,12,11,10,7,6,5])).
% 62.20/62.35 cnf(576,plain,
% 62.20/62.35 (E(f12(f12(x5761,x5761,x5762),x5763,x5764),f12(x5761,x5763,f12(x5764,x5764,x5765)))),
% 62.20/62.35 inference(scs_inference,[],[51,150,198,2,3])).
% 62.20/62.35 cnf(577,plain,
% 62.20/62.35 (E(f12(f12(x5771,x5771,x5772),x5773,x5774),f12(x5771,x5773,x5774))),
% 62.20/62.35 inference(rename_variables,[],[51])).
% 62.20/62.35 cnf(578,plain,
% 62.20/62.35 (~P1(f9(f12(f12(a1,a1,x5781),f12(a1,a1,x5781),x5782)),f8(f7(f4(a3,a17))),f12(f12(a11,a11,x5783),f12(a11,a11,x5784),x5785))),
% 62.20/62.35 inference(scs_inference,[],[51,577,150,198,529,2,3,21])).
% 62.20/62.35 cnf(580,plain,
% 62.20/62.35 (E(f12(f12(x5801,x5801,x5802),x5803,x5804),f12(x5801,x5803,x5804))),
% 62.20/62.35 inference(rename_variables,[],[51])).
% 62.20/62.35 cnf(581,plain,
% 62.20/62.35 (~P1(f10(a1),f12(f12(f5(a17),f5(a17),x5811),f5(a17),x5812),a15)),
% 62.20/62.35 inference(scs_inference,[],[51,577,580,54,150,198,529,2,3,21,20])).
% 62.20/62.35 cnf(583,plain,
% 62.20/62.35 (E(f12(f12(x5831,x5831,x5832),x5833,x5834),f12(x5831,x5833,x5834))),
% 62.20/62.35 inference(rename_variables,[],[51])).
% 62.20/62.35 cnf(584,plain,
% 62.20/62.35 (~P1(f12(f12(f10(a1),f10(a1),x5841),f10(a1),x5842),f5(a17),a15)),
% 62.20/62.35 inference(scs_inference,[],[51,577,580,583,54,56,150,198,529,2,3,21,20,19])).
% 62.20/62.35 cnf(591,plain,
% 62.20/62.35 (E(f12(x5911,f12(x5912,x5912,x5913),f12(x5914,x5914,x5915)),f12(x5911,x5912,x5914))),
% 62.20/62.35 inference(rename_variables,[],[424])).
% 62.20/62.35 cnf(596,plain,
% 62.20/62.35 (~P1(f12(f12(f10(a1),f10(a1),x5961),f10(a1),x5962),f7(f4(a3,a17)),a15)),
% 62.20/62.35 inference(scs_inference,[],[146,211,424,591,553,546,584,3,20,19,28])).
% 62.20/62.35 cnf(605,plain,
% 62.20/62.35 (~P1(f10(a1),f5(f12(a17,a17,x6051)),f12(a15,a15,x6052))),
% 62.20/62.35 inference(scs_inference,[],[62,145,20])).
% 62.20/62.35 cnf(620,plain,
% 62.20/62.35 (E(f7(f4(x6201,x6202)),f7(f4(f12(x6201,x6201,x6203),x6202)))),
% 62.20/62.35 inference(scs_inference,[],[62,149,145,89,20,19,9,17,16,15,13,10,7,6,5,18,14,12,11])).
% 62.20/62.35 cnf(631,plain,
% 62.20/62.35 (~P1(f10(f12(f12(a1,a1,x6311),a1,x6312)),f12(f12(f5(a17),f5(a17),x6313),f12(f5(a17),f5(a17),x6313),x6314),f12(a15,a15,x6315))),
% 62.20/62.35 inference(scs_inference,[],[229,241,504,508,184,3,20,19])).
% 62.20/62.35 cnf(638,plain,
% 62.20/62.35 (~P1(f12(f10(a1),f10(a1),x6381),f5(f12(a17,a17,x6382)),a15)),
% 62.20/62.35 inference(scs_inference,[],[56,145,20])).
% 62.20/62.35 cnf(681,plain,
% 62.20/62.35 (~P1(f10(f12(a1,a1,x6811)),f7(f12(f4(a3,a17),f4(a3,a17),x6812)),f12(f12(f12(a15,a15,x6813),f12(a15,a15,x6813),x6814),f12(f12(a15,a15,x6815),f12(a15,a15,x6815),x6816),f12(x6817,x6817,x6818)))),
% 62.20/62.35 inference(scs_inference,[],[516,522,480,596,166,23,21,20,19])).
% 62.20/62.35 cnf(683,plain,
% 62.20/62.35 (~P1(f12(f10(a1),f10(a1),x6831),f7(f4(a3,f12(a17,a17,x6832))),a15)),
% 62.20/62.35 inference(scs_inference,[],[516,522,480,596,638,166,23,21,20,19,28])).
% 62.20/62.35 cnf(718,plain,
% 62.20/62.35 (~P1(f10(f12(a1,a1,x7181)),f7(f4(a3,a17)),f12(f12(f12(a15,a15,x7182),f12(a15,a15,x7182),x7183),f12(f12(a15,a15,x7184),f12(a15,a15,x7184),x7185),f12(x7186,x7186,x7187)))),
% 62.20/62.35 inference(scs_inference,[],[245,292,681,144,3,20])).
% 62.20/62.35 cnf(734,plain,
% 62.20/62.35 (E(f7(f4(f12(x7341,x7341,x7342),f12(x7343,x7343,x7344))),f7(f4(x7341,x7343)))),
% 62.20/62.35 inference(scs_inference,[],[78,334,683,38,23,21,19,9,17,16,5,15,13,7,6,11])).
% 62.20/62.35 cnf(742,plain,
% 62.20/62.35 (~P1(f12(f10(a1),f10(a1),x7421),f7(f4(a3,a17)),f12(f12(f12(a15,a15,x7422),f12(a15,a15,x7422),x7423),f12(f12(a15,a15,x7424),f12(a15,a15,x7424),x7425),f12(x7426,x7426,x7427)))),
% 62.20/62.35 inference(scs_inference,[],[718,210,19])).
% 62.20/62.35 cnf(745,plain,
% 62.20/62.35 (~P1(f12(f10(a1),f10(a1),x7451),f7(f4(f12(a3,a3,x7452),f12(a17,a17,x7453))),f12(f12(f12(a15,a15,x7454),f12(a15,a15,x7454),x7455),f12(f12(a15,a15,x7456),f12(a15,a15,x7456),x7457),f12(x7458,x7458,x7459)))),
% 62.20/62.35 inference(scs_inference,[],[734,742,20])).
% 62.20/62.35 cnf(788,plain,
% 62.20/62.35 (P1(f9(a1),f8(f7(f12(f4(a3,a17),f4(a3,a17),a15))),a11)),
% 62.20/62.35 inference(scs_inference,[],[620,745,492,97,20,19])).
% 62.20/62.35 cnf(809,plain,
% 62.20/62.35 (~P1(f10(f9(a1)),f7(f4(a3,a17)),f12(a15,a15,x8091))),
% 62.20/62.35 inference(scs_inference,[],[83,261,187,89,3,19])).
% 62.20/62.35 cnf(817,plain,
% 62.20/62.35 (~P1(f10(f9(f12(a1,a1,x8171))),f7(f4(a3,a17)),f12(a15,a15,x8172))),
% 62.20/62.35 inference(scs_inference,[],[809,194,19])).
% 62.20/62.35 cnf(821,plain,
% 62.20/62.35 (E(f9(f9(f12(a1,a1,x8211))),f9(f12(a1,a1,x8211)))),
% 62.20/62.35 inference(scs_inference,[],[87,809,194,19,9,17,16])).
% 62.20/62.35 cnf(823,plain,
% 62.20/62.35 (E(f12(x8231,f9(f12(a1,a1,x8232)),x8233),f12(x8231,f12(a1,a1,x8232),x8233))),
% 62.20/62.35 inference(scs_inference,[],[87,809,194,19,9,17,16,15,5])).
% 62.20/62.35 cnf(846,plain,
% 62.20/62.35 (~P1(f10(a1),f12(f12(f5(a17),f5(a17),x8461),f5(a17),x8462),f12(a15,a15,x8463))),
% 62.20/62.35 inference(scs_inference,[],[581,23,21])).
% 62.20/62.35 cnf(850,plain,
% 62.20/62.35 (E(f9(a1),f9(f9(a1)))),
% 62.20/62.35 inference(scs_inference,[],[90,817,581,194,23,21,19,2])).
% 62.20/62.35 cnf(888,plain,
% 62.20/62.35 (P1(f9(a1),f12(f12(a2,a2,x8881),f12(a2,a2,x8881),x8882),f12(a11,a11,x8883))),
% 62.20/62.35 inference(scs_inference,[],[489,109,97,23,21,19])).
% 62.20/62.35 cnf(902,plain,
% 62.20/62.35 (E(f12(f10(f9(a1)),x9021,x9022),f12(f10(a1),x9021,x9022))),
% 62.20/62.35 inference(scs_inference,[],[89,489,109,97,23,21,19,9,17,16,6,18,15,10,7,5,11,13,12,8,4])).
% 62.20/62.35 cnf(911,plain,
% 62.20/62.35 (P1(f9(a1),f12(f12(a2,a2,x9111),f12(a2,a2,x9112),x9113),f12(a11,a11,x9114))),
% 62.20/62.35 inference(scs_inference,[],[570,888,20])).
% 62.20/62.35 cnf(948,plain,
% 62.20/62.35 (~P1(f12(f10(a1),f10(a1),x9481),f7(f4(f12(a3,a3,x9482),f12(a17,a17,x9483))),a15)),
% 62.20/62.35 inference(scs_inference,[],[95,94,846,734,38,19,2,20])).
% 62.20/62.35 cnf(980,plain,
% 62.20/62.35 (~P1(f12(f10(f9(a1)),f10(a1),x9801),f7(f4(a3,a17)),a15)),
% 62.20/62.35 inference(scs_inference,[],[95,902,19])).
% 62.20/62.35 cnf(984,plain,
% 62.20/62.35 (P1(f9(f9(a1)),f12(f12(a2,a2,x9841),f12(a2,a2,x9842),x9843),f12(a11,a11,x9844))),
% 62.20/62.35 inference(scs_inference,[],[911,850,19])).
% 62.20/62.35 cnf(1002,plain,
% 62.20/62.35 (P1(f9(f9(a1)),f12(a2,f12(a2,a2,x10021),f12(x10022,x10022,x10023)),f12(a11,a11,x10024))),
% 62.20/62.35 inference(scs_inference,[],[576,984,20])).
% 62.20/62.35 cnf(1015,plain,
% 62.20/62.35 (P1(f9(f9(f12(a1,a1,x10151))),f12(a2,f12(a2,a2,x10152),f12(x10153,x10153,x10154)),f12(a11,a11,x10155))),
% 62.20/62.35 inference(scs_inference,[],[1002,980,277,23,21,19])).
% 62.20/62.35 cnf(1050,plain,
% 62.20/62.35 (~P1(f10(f9(f12(a1,a1,x10501))),f7(f4(a3,a17)),a15)),
% 62.20/62.35 inference(scs_inference,[],[100,288,491,194,3,19])).
% 62.20/62.35 cnf(1065,plain,
% 62.20/62.35 (E(f12(x10651,f12(x10652,x10653,f9(a1)),x10654),f12(x10651,f12(x10652,x10653,a1),x10654))),
% 62.20/62.35 inference(scs_inference,[],[104,1050,948,821,1015,74,23,21,19,30,17,9,16,6,13,10,5])).
% 62.20/62.35 cnf(1136,plain,
% 62.20/62.35 (P1(a1,f12(f12(a2,a2,f9(a1)),f12(a2,a2,a1),x11361),f12(a11,a11,x11362))),
% 62.20/62.35 inference(scs_inference,[],[109,1065,584,23,21,20])).
% 62.20/62.35 cnf(1156,plain,
% 62.20/62.35 (E(f12(f9(a1),x11561,f9(a1)),f12(a1,x11561,a1))),
% 62.20/62.35 inference(scs_inference,[],[104,106,109,1065,605,584,38,23,21,20,19,9,17,6,16,13,10,4,5,11,15,8,14,12,18,7,3])).
% 62.20/62.35 cnf(1170,plain,
% 62.20/62.35 (E(f12(a1,x11701,x11702),f12(f9(a1),x11701,x11702))),
% 62.20/62.35 inference(scs_inference,[],[111,106,38,19,2])).
% 62.20/62.35 cnf(1205,plain,
% 62.20/62.35 (E(a1,f12(f9(a1),f9(a1),x12051))),
% 62.20/62.35 inference(scs_inference,[],[115,2])).
% 62.20/62.35 cnf(1212,plain,
% 62.20/62.35 (P1(a1,f12(f12(a2,a2,x12121),f12(a2,a2,x12121),x12122),f12(a11,a11,x12123))),
% 62.20/62.35 inference(rename_variables,[],[109])).
% 62.20/62.35 cnf(1214,plain,
% 62.20/62.35 (E(f10(f12(f9(a1),f9(a1),x12141)),f10(a1))),
% 62.20/62.35 inference(scs_inference,[],[109,1212,115,1205,402,20,19,17])).
% 62.20/62.35 cnf(1230,plain,
% 62.20/62.35 (~P1(f10(f12(f9(a1),f9(a1),x12301)),f7(f4(a3,a17)),f12(a15,f12(a15,a15,x12302),x12303))),
% 62.20/62.35 inference(scs_inference,[],[111,113,1214,2,19])).
% 62.20/62.35 cnf(1298,plain,
% 62.20/62.35 (P1(f12(f9(a1),f9(a1),x12981),f12(f12(a2,a2,f9(a1)),f12(a2,a2,a1),x12982),f12(a11,a11,x12983))),
% 62.20/62.35 inference(scs_inference,[],[117,1136,1205,457,20,19])).
% 62.20/62.35 cnf(1300,plain,
% 62.20/62.35 (P1(f12(f9(a1),f9(a1),x13001),f12(a2,f12(a2,a2,a1),x13002),f12(a11,a11,x13003))),
% 62.20/62.35 inference(scs_inference,[],[1298,517,20])).
% 62.20/62.35 cnf(1310,plain,
% 62.20/62.35 (~P1(f10(f12(f9(a1),f9(a1),x13101)),f7(f4(f12(a3,a3,x13102),f12(a17,a17,x13103))),f12(a15,f12(a15,a15,x13104),x13105))),
% 62.20/62.35 inference(scs_inference,[],[1230,734,20])).
% 62.20/62.35 cnf(1338,plain,
% 62.20/62.35 (P1(f12(a1,f9(a1),a1),f12(a2,f12(a2,a2,a1),x13381),f12(a11,a11,x13382))),
% 62.20/62.35 inference(scs_inference,[],[1300,1156,19])).
% 62.20/62.35 cnf(1351,plain,
% 62.20/62.35 (E(f9(x13511),f9(f12(x13511,x13511,x13512)))),
% 62.20/62.35 inference(rename_variables,[],[137])).
% 62.20/62.35 cnf(1359,plain,
% 62.20/62.35 (E(f12(f9(x13591),x13592,x13593),f12(f9(f12(x13591,x13591,x13594)),x13592,x13593))),
% 62.20/62.35 inference(scs_inference,[],[137,1351,565,578,631,1065,20,19,9,17,16,6,13,11,10,4])).
% 62.20/62.35 cnf(1360,plain,
% 62.20/62.35 (E(f12(x13601,f9(x13602),x13603),f12(x13601,f9(f12(x13602,x13602,x13604)),x13603))),
% 62.20/62.35 inference(scs_inference,[],[137,1351,565,578,631,1065,20,19,9,17,16,6,13,11,10,4,5])).
% 62.20/62.35 cnf(1378,plain,
% 62.20/62.35 (P1(f12(a1,f9(f12(a1,a1,x13781)),a1),f12(a2,f12(a2,a2,a1),x13782),f12(a11,a11,x13783))),
% 62.20/62.35 inference(scs_inference,[],[137,354,1360,1338,3,19])).
% 62.20/62.35 cnf(1384,plain,
% 62.20/62.35 (P1(f12(a1,f12(a1,a1,x13841),a1),f12(a2,f12(a2,a2,a1),x13842),f12(a11,a11,x13843))),
% 62.20/62.35 inference(scs_inference,[],[823,1378,19])).
% 62.20/62.35 cnf(1402,plain,
% 62.20/62.35 (P1(f12(f9(a1),f12(a1,a1,x14021),a1),f12(a2,f12(a2,a2,a1),x14022),f12(a11,a11,x14023))),
% 62.20/62.35 inference(scs_inference,[],[1384,1170,19])).
% 62.20/62.35 cnf(1427,plain,
% 62.20/62.35 (E(f13(f6(x14271)),f13(f6(f12(x14271,x14271,x14272))))),
% 62.20/62.35 inference(scs_inference,[],[140,1402,1359,19,9,17,4,16,6,11,5,13,10])).
% 62.20/62.35 cnf(1437,plain,
% 62.20/62.35 (~P1(f10(f9(a1)),f7(f4(f12(a3,a3,x14371),f12(a17,a17,x14372))),f12(a15,f12(a15,a15,x14373),x14374))),
% 62.20/62.35 inference(scs_inference,[],[141,1427,1310,182,20,19])).
% 62.20/62.35 cnf(1506,plain,
% 62.20/62.35 (E(f8(f7(x15061)),f8(f7(f12(x15061,x15061,x15062))))),
% 62.20/62.35 inference(scs_inference,[],[141,144,1437,1427,24,194,20,19,9,17,11,5,4,16,6,13,10,14,18,8,7,15])).
% 62.20/62.35 cnf(2422,plain,
% 62.20/62.35 (E(f12(x24221,x24221,x24222),x24221)),
% 62.20/62.35 inference(rename_variables,[],[23])).
% 62.20/62.35 cnf(2426,plain,
% 62.20/62.35 ($false),
% 62.20/62.35 inference(scs_inference,[],[87,26,82,184,788,23,2422,89,1506,20,3,21,19,2]),
% 62.20/62.35 ['proof']).
% 62.20/62.35 % SZS output end Proof
% 62.20/62.35 % Total time :61.530000s
%------------------------------------------------------------------------------