TSTP Solution File: SWV308-2 by CSE---1.6
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%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SWV308-2 : 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 : n013.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 21:32:52 EDT 2023
% Result : Unsatisfiable 126.16s 126.43s
% Output : CNFRefutation 126.16s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : SWV308-2 : TPTP v8.1.2. Released v3.2.0.
% 0.09/0.10 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.10/0.31 % Computer : n013.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue Aug 29 04:35:16 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.16/0.54 start to proof:theBenchmark
% 126.16/126.41 %-------------------------------------------
% 126.16/126.41 % File :CSE---1.6
% 126.16/126.41 % Problem :theBenchmark
% 126.16/126.41 % Transform :cnf
% 126.16/126.41 % Format :tptp:raw
% 126.16/126.41 % Command :java -jar mcs_scs.jar %d %s
% 126.16/126.41
% 126.16/126.41 % Result :Theorem 125.590000s
% 126.16/126.41 % Output :CNFRefutation 125.590000s
% 126.16/126.41 %-------------------------------------------
% 126.16/126.42 %------------------------------------------------------------------------------
% 126.16/126.43 % File : SWV308-2 : TPTP v8.1.2. Released v3.2.0.
% 126.16/126.43 % Domain : Software Verification (Security)
% 126.16/126.43 % Problem : Cryptographic protocol problem for Otway Rees
% 126.16/126.43 % Version : [Pau06] axioms : Reduced > Especial.
% 126.16/126.43 % English :
% 126.16/126.43
% 126.16/126.43 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 126.16/126.43 % Source : [Pau06]
% 126.16/126.43 % Names :
% 126.16/126.43
% 126.16/126.43 % Status : Unsatisfiable
% 126.16/126.43 % Rating : 0.14 v8.1.0, 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.0.0, 0.25 v6.3.0, 0.14 v6.2.0, 0.22 v6.1.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.20 v5.2.0, 0.10 v5.1.0, 0.09 v5.0.0, 0.36 v4.1.0, 0.25 v4.0.1, 0.40 v4.0.0, 0.43 v3.4.0, 0.50 v3.3.0, 0.33 v3.2.0
% 126.16/126.43 % Syntax : Number of clauses : 16 ( 5 unt; 2 nHn; 16 RR)
% 126.16/126.43 % Number of literals : 32 ( 0 equ; 16 neg)
% 126.16/126.43 % Maximal clause size : 3 ( 2 avg)
% 126.16/126.43 % Maximal term depth : 7 ( 2 avg)
% 126.16/126.43 % Number of predicates : 1 ( 1 usr; 0 prp; 3-3 aty)
% 126.16/126.43 % Number of functors : 34 ( 34 usr; 17 con; 0-3 aty)
% 126.16/126.43 % Number of variables : 29 ( 4 sgn)
% 126.16/126.43 % SPC : CNF_UNS_RFO_NEQ_NHN
% 126.16/126.43
% 126.16/126.43 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 126.16/126.43 % of which only a small selection are required for the refutation.
% 126.16/126.43 % The mission is to find those few axioms, after which a refutation
% 126.16/126.43 % can be quite easily found. This version has only the necessary
% 126.16/126.43 % axioms.
% 126.16/126.43 %------------------------------------------------------------------------------
% 126.16/126.43 cnf(cls_Event_OSays__imp__analz__Spy__dest_0,axiom,
% 126.16/126.43 ( ~ c_in(c_Event_Oevent_OSays(V_A,V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 126.16/126.43 | c_in(V_X,c_Message_Oanalz(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg) ) ).
% 126.16/126.43
% 126.16/126.43 cnf(cls_Message_OCrypt__synth_0,axiom,
% 126.16/126.43 ( ~ c_in(c_Message_Omsg_OCrypt(V_K,V_X),c_Message_Osynth(V_H),tc_Message_Omsg)
% 126.16/126.43 | c_in(c_Message_Omsg_OCrypt(V_K,V_X),V_H,tc_Message_Omsg)
% 126.16/126.43 | c_in(c_Message_Omsg_OKey(V_K),V_H,tc_Message_Omsg) ) ).
% 126.16/126.43
% 126.16/126.43 cnf(cls_Message_OFake__parts__insert__in__Un__dest_0,axiom,
% 126.16/126.43 ( ~ c_in(V_Z,c_Message_Oparts(c_insert(V_X,V_H,tc_Message_Omsg)),tc_Message_Omsg)
% 126.16/126.43 | ~ c_in(V_X,c_Message_Osynth(c_Message_Oanalz(V_H)),tc_Message_Omsg)
% 126.16/126.43 | c_in(V_Z,c_union(c_Message_Osynth(c_Message_Oanalz(V_H)),c_Message_Oparts(V_H),tc_Message_Omsg),tc_Message_Omsg) ) ).
% 126.16/126.43
% 126.16/126.43 cnf(cls_Message_OMPair__analz_0,axiom,
% 126.16/126.43 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 126.16/126.43 | c_in(V_Y,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 126.16/126.43
% 126.16/126.43 cnf(cls_Message_OMPair__analz_1,axiom,
% 126.16/126.43 ( ~ c_in(c_Message_Omsg_OMPair(V_X,V_Y),c_Message_Oanalz(V_H),tc_Message_Omsg)
% 126.16/126.43 | c_in(V_X,c_Message_Oanalz(V_H),tc_Message_Omsg) ) ).
% 126.16/126.43
% 126.16/126.43 cnf(cls_Message_Oanalz__into__parts__dest_0,axiom,
% 126.16/126.43 ( ~ c_in(V_c,c_Message_Oanalz(V_H),tc_Message_Omsg)
% 126.16/126.43 | c_in(V_c,c_Message_Oparts(V_H),tc_Message_Omsg) ) ).
% 126.16/126.43
% 126.16/126.43 cnf(cls_Message_Osynth_OInj_0,axiom,
% 126.16/126.43 ( ~ c_in(V_X,V_H,tc_Message_Omsg)
% 126.16/126.43 | c_in(V_X,c_Message_Osynth(V_H),tc_Message_Omsg) ) ).
% 126.16/126.43
% 126.16/126.43 cnf(cls_OtwayRees_OGets__imp__Says__dest_0,axiom,
% 126.16/126.43 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 126.16/126.43 | ~ c_in(c_Event_Oevent_OGets(V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent)
% 126.16/126.43 | c_in(c_Event_Oevent_OSays(v_sko__usf(V_B,V_X,V_evs),V_B,V_X),c_List_Oset(V_evs,tc_Event_Oevent),tc_Event_Oevent) ) ).
% 126.16/126.43
% 126.16/126.43 cnf(cls_OtwayRees_OSpy__see__shrK__D__dest_0,axiom,
% 126.16/126.43 ( ~ c_in(V_evs,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent))
% 126.16/126.43 | ~ c_in(c_Message_Omsg_OKey(c_Public_OshrK(V_A)),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,V_evs)),tc_Message_Omsg)
% 126.16/126.43 | c_in(V_A,c_Event_Obad,tc_Message_Oagent) ) ).
% 126.16/126.43
% 126.16/126.43 cnf(cls_Set_OUnE_0,axiom,
% 126.16/126.43 ( ~ c_in(V_c,c_union(V_A,V_B,T_a),T_a)
% 126.16/126.43 | c_in(V_c,V_B,T_a)
% 126.16/126.43 | c_in(V_c,V_A,T_a) ) ).
% 126.16/126.43
% 126.16/126.43 cnf(cls_conjecture_0,negated_conjecture,
% 126.16/126.43 ~ c_in(v_A,c_Event_Obad,tc_Message_Oagent) ).
% 126.16/126.43
% 126.16/126.43 cnf(cls_conjecture_1,negated_conjecture,
% 126.16/126.43 c_in(v_evs4,c_OtwayRees_Ootway,tc_List_Olist(tc_Event_Oevent)) ).
% 126.16/126.43
% 126.16/126.43 cnf(cls_conjecture_4,negated_conjecture,
% 126.16/126.43 c_in(c_Event_Oevent_OGets(v_Ba,c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NAa),c_Message_Omsg_OMPair(v_X,c_Message_Omsg_OCrypt(c_Public_OshrK(v_Ba),c_Message_Omsg_OMPair(c_Message_Omsg_ONonce(v_NB),c_Message_Omsg_OKey(v_K)))))),c_List_Oset(v_evs4,tc_Event_Oevent),tc_Event_Oevent) ).
% 126.16/126.43
% 126.16/126.43 cnf(cls_conjecture_5,negated_conjecture,
% 126.16/126.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ).
% 126.16/126.43
% 126.16/126.43 cnf(cls_conjecture_6,negated_conjecture,
% 126.16/126.43 c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_insert(v_X,c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4),tc_Message_Omsg)),tc_Message_Omsg) ).
% 126.16/126.43
% 126.16/126.43 cnf(cls_conjecture_7,negated_conjecture,
% 126.16/126.43 ( ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA_H,c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A_H),c_Message_Omsg_OAgent(v_A))))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg)
% 126.16/126.43 | ~ c_in(c_Message_Omsg_OCrypt(c_Public_OshrK(v_A),c_Message_Omsg_OMPair(v_NA,c_Message_Omsg_OMPair(c_Message_Omsg_OAgent(v_A),c_Message_Omsg_OAgent(v_B)))),c_Message_Oparts(c_Event_Oknows(c_Message_Oagent_OSpy,v_evs4)),tc_Message_Omsg) ) ).
% 126.16/126.43
% 126.16/126.43 %------------------------------------------------------------------------------
% 126.16/126.43 %-------------------------------------------
% 126.16/126.43 % Proof found
% 126.16/126.43 % SZS status Theorem for theBenchmark
% 126.16/126.43 % SZS output start Proof
% 126.16/126.43 %ClaNum:16(EqnAxiom:0)
% 126.16/126.43 %VarNum:65(SingletonVarNum:29)
% 126.16/126.43 %MaxLitNum:3
% 126.16/126.43 %MaxfuncDepth:6
% 126.16/126.43 %SharedTerms:50
% 126.16/126.43 %goalClause: 1 2 3 4 5 16
% 126.16/126.43 %singleGoalClaCount:5
% 126.16/126.43 [5]~P1(a22,a7,a24)
% 126.16/126.43 [1]P1(a1,a2,f21(a17))
% 126.16/126.43 [2]P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f14(f19(a30,f5(a4,a1),a23)),a23)
% 126.16/126.43 [3]P1(f12(f18(a22),f11(a31,f11(a25,f11(f3(a27),f3(a22))))),f14(f19(a30,f5(a4,a1),a23)),a23)
% 126.16/126.43 [4]P1(f6(a28,f11(f15(a32),f11(a30,f12(f18(a28),f11(f15(a33),f13(a29)))))),f9(a1,a17),a17)
% 126.16/126.43 [16]~P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f14(f5(a4,a1)),a23)+~P1(f12(f18(a22),f11(a31,f11(a25,f11(f3(a27),f3(a22))))),f14(f5(a4,a1)),a23)
% 126.16/126.43 [6]~P1(x61,x62,a23)+P1(x61,f16(x62),a23)
% 126.16/126.43 [7]~P1(x71,f10(x72),a23)+P1(x71,f14(x72),a23)
% 126.16/126.43 [8]P1(x81,f10(x82),a23)+~P1(f11(x83,x81),f10(x82),a23)
% 126.16/126.43 [9]P1(x91,f10(x92),a23)+~P1(f11(x91,x93),f10(x92),a23)
% 126.16/126.43 [13]~P1(f8(x133,x134,x131),f9(x132,a17),a17)+P1(x131,f10(f5(a4,x132)),a23)
% 126.16/126.43 [11]P1(x111,a7,a24)+~P1(x112,a2,f21(a17))+~P1(f13(f18(x111)),f14(f5(a4,x112)),a23)
% 126.16/126.43 [10]P1(f13(x101),x102,a23)+P1(f12(x101,x103),x102,a23)+~P1(f12(x101,x103),f16(x102),a23)
% 126.16/126.43 [14]~P1(f6(x141,x142),f9(x143,a17),a17)+~P1(x143,a2,f21(a17))+P1(f8(f34(x141,x142,x143),x141,x142),f9(x143,a17),a17)
% 126.16/126.43 [15]~P1(x153,f16(f10(x152)),a23)+~P1(x151,f14(f19(x153,x152,a23)),a23)+P1(x151,f20(f16(f10(x152)),f14(x152),a23),a23)
% 126.16/126.43 [12]P1(x121,x122,x123)+P1(x121,x124,x123)+~P1(x121,f20(x124,x122,x123),x123)
% 126.16/126.43 %EqnAxiom
% 126.16/126.43
% 126.16/126.43 %-------------------------------------------
% 126.16/126.45 cnf(18,plain,
% 126.16/126.45 (~P1(f13(f18(a22)),f14(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[1,5,2,6,11])).
% 126.16/126.45 cnf(21,plain,
% 126.16/126.45 (~P1(a30,f16(f10(f5(a4,a1))),a23)+P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f20(f16(f10(f5(a4,a1))),f14(f5(a4,a1)),a23),a23)),
% 126.16/126.45 inference(scs_inference,[],[1,5,2,6,11,12,15])).
% 126.16/126.45 cnf(23,plain,
% 126.16/126.45 (~P1(f13(f18(a22)),f10(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[1,5,2,6,11,12,15,7])).
% 126.16/126.45 cnf(25,plain,
% 126.16/126.45 (~P1(f8(x251,x252,f13(f18(a22))),f9(a1,a17),a17)),
% 126.16/126.45 inference(scs_inference,[],[1,5,2,6,11,12,15,7,13])).
% 126.16/126.45 cnf(27,plain,
% 126.16/126.45 (~P1(f11(f13(f18(a22)),x271),f10(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[23,9])).
% 126.16/126.45 cnf(29,plain,
% 126.16/126.45 (~P1(f11(x291,f13(f18(a22))),f10(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[23,9,8])).
% 126.16/126.45 cnf(32,plain,
% 126.16/126.45 (~P1(f8(x321,x322,f13(f18(a22))),f9(a1,a17),a17)),
% 126.16/126.45 inference(rename_variables,[],[25])).
% 126.16/126.45 cnf(36,plain,
% 126.16/126.45 (P1(f12(f18(a22),x361),f10(f5(a4,a1)),a23)+~P1(f12(f18(a22),x361),f16(f10(f5(a4,a1))),a23)),
% 126.16/126.45 inference(scs_inference,[],[1,25,32,23,9,8,14,12,10])).
% 126.16/126.45 cnf(38,plain,
% 126.16/126.45 (P1(f12(f18(a22),x381),f14(f5(a4,a1)),a23)+~P1(f12(f18(a22),x381),f16(f10(f5(a4,a1))),a23)),
% 126.16/126.45 inference(scs_inference,[],[1,25,32,23,9,8,14,12,10,7])).
% 126.16/126.45 cnf(45,plain,
% 126.16/126.45 (~P1(f11(f11(x451,f13(f18(a22))),x452),f10(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[29,9])).
% 126.16/126.45 cnf(47,plain,
% 126.16/126.45 (~P1(f11(x471,f11(x472,f13(f18(a22)))),f10(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[29,9,8])).
% 126.16/126.45 cnf(49,plain,
% 126.16/126.45 (~P1(f13(f18(a22)),f20(f14(f5(a4,a1)),f14(f5(a4,a1)),a23),a23)),
% 126.16/126.45 inference(scs_inference,[],[18,29,9,8,12])).
% 126.16/126.45 cnf(51,plain,
% 126.16/126.45 (~P1(f12(f18(a22),x511),f20(f16(f10(f5(a4,a1))),f16(f10(f5(a4,a1))),a23),a23)+P1(f12(f18(a22),x511),f14(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[38,12])).
% 126.16/126.45 cnf(55,plain,
% 126.16/126.45 (~P1(a30,f16(f10(f5(a4,a1))),a23)+P1(f12(f18(a22),f11(a31,f11(a25,f11(f3(a27),f3(a22))))),f20(f16(f10(f5(a4,a1))),f14(f5(a4,a1)),a23),a23)),
% 126.16/126.45 inference(scs_inference,[],[3,15])).
% 126.16/126.45 cnf(70,plain,
% 126.16/126.45 (~P1(f11(f11(x701,f11(x702,f13(f18(a22)))),x703),f10(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[47,9])).
% 126.16/126.45 cnf(85,plain,
% 126.16/126.45 (~P1(f11(x851,f11(f13(f18(a22)),x852)),f10(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[27,9,8])).
% 126.16/126.45 cnf(115,plain,
% 126.16/126.45 (~P1(f11(x1151,f11(x1152,f11(f13(f18(a22)),x1153))),f10(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[85,9,8])).
% 126.16/126.45 cnf(143,plain,
% 126.16/126.45 (~P1(f8(x1431,x1432,f11(x1433,f11(x1434,f13(f18(a22))))),f9(a1,a17),a17)),
% 126.16/126.45 inference(scs_inference,[],[45,47,12,13])).
% 126.16/126.45 cnf(146,plain,
% 126.16/126.45 (~P1(f11(f11(x1461,f11(x1462,f11(f13(f18(a22)),x1463))),x1464),f10(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[115,9])).
% 126.16/126.45 cnf(148,plain,
% 126.16/126.45 (~P1(f11(x1481,f11(x1482,f11(x1483,f11(f13(f18(a22)),x1484)))),f10(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[115,9,8])).
% 126.16/126.45 cnf(155,plain,
% 126.16/126.45 (P1(f12(f18(a22),x1551),f14(f5(a4,a1)),a23)+~P1(f12(f18(a22),x1551),f16(f20(f14(f5(a4,a1)),f14(f5(a4,a1)),a23)),a23)),
% 126.16/126.45 inference(scs_inference,[],[49,143,115,1,9,8,10,14,12])).
% 126.16/126.45 cnf(157,plain,
% 126.16/126.45 (~P1(f12(f18(a22),x1571),f20(f14(f5(a4,a1)),f14(f5(a4,a1)),a23),a23)+P1(f12(f18(a22),x1571),f14(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[155,6])).
% 126.16/126.45 cnf(182,plain,
% 126.16/126.45 (~P1(f11(f11(f11(x1821,f11(x1822,f13(f18(a22)))),x1823),x1824),f10(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[70,9])).
% 126.16/126.45 cnf(197,plain,
% 126.16/126.45 (P1(x1971,f16(f14(x1972)),a23)+~P1(x1971,f10(x1972),a23)),
% 126.16/126.45 inference(scs_inference,[],[6,7])).
% 126.16/126.45 cnf(202,plain,
% 126.16/126.45 (P1(x2021,f16(f14(x2022)),a23)+~P1(f11(x2023,x2021),f10(x2022),a23)),
% 126.16/126.45 inference(scs_inference,[],[197,8])).
% 126.16/126.45 cnf(232,plain,
% 126.16/126.45 (P1(x2321,f16(f10(x2322)),a23)+~P1(f11(x2323,x2321),f10(x2322),a23)),
% 126.16/126.45 inference(scs_inference,[],[6,8])).
% 126.16/126.45 cnf(235,plain,
% 126.16/126.45 (P1(x2351,f16(f10(x2352)),a23)+~P1(f11(f11(x2353,x2351),x2354),f10(x2352),a23)),
% 126.16/126.45 inference(scs_inference,[],[232,9])).
% 126.16/126.45 cnf(257,plain,
% 126.16/126.45 (P1(x2571,f16(f10(x2572)),a23)+~P1(f11(x2571,x2573),f10(x2572),a23)),
% 126.16/126.45 inference(scs_inference,[],[6,9])).
% 126.16/126.45 cnf(258,plain,
% 126.16/126.45 (P1(x2581,f16(f10(x2582)),a23)+~P1(f11(x2583,f11(x2581,x2584)),f10(x2582),a23)),
% 126.16/126.45 inference(scs_inference,[],[257,8])).
% 126.16/126.45 cnf(261,plain,
% 126.16/126.45 (P1(x2611,f16(f10(f5(a4,x2612))),a23)+~P1(f8(x2613,x2614,f11(x2615,f11(x2611,x2616))),f9(x2612,a17),a17)),
% 126.16/126.45 inference(scs_inference,[],[258,13])).
% 126.16/126.45 cnf(262,plain,
% 126.16/126.45 (P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f20(f16(f10(f5(a4,a1))),f14(f5(a4,a1)),a23),a23)+~P1(f8(x2621,x2622,f11(x2623,f11(a30,x2624))),f9(a1,a17),a17)),
% 126.16/126.45 inference(scs_inference,[],[261,21])).
% 126.16/126.45 cnf(263,plain,
% 126.16/126.45 (~P1(f8(x2631,x2632,f11(x2633,f11(a30,x2634))),f9(a1,a17),a17)+P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f16(f20(f16(f10(f5(a4,a1))),f14(f5(a4,a1)),a23)),a23)),
% 126.16/126.45 inference(scs_inference,[],[262,6])).
% 126.16/126.45 cnf(266,plain,
% 126.16/126.45 (P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f16(f20(f16(f10(f5(a4,a1))),f14(f5(a4,a1)),a23)),a23)),
% 126.16/126.45 inference(scs_inference,[],[1,4,263,14])).
% 126.16/126.45 cnf(288,plain,
% 126.16/126.45 (P1(x2881,f16(f10(f5(a4,x2882))),a23)+~P1(f8(x2883,x2884,x2881),f9(x2882,a17),a17)),
% 126.16/126.45 inference(scs_inference,[],[6,13])).
% 126.16/126.45 cnf(319,plain,
% 126.16/126.45 (~P1(f12(f18(a22),x3191),f16(f10(f5(a4,a1))),a23)+P1(f12(f18(a22),x3191),f16(f14(f5(a4,a1))),a23)),
% 126.16/126.45 inference(scs_inference,[],[6,38])).
% 126.16/126.45 cnf(362,plain,
% 126.16/126.45 (~P1(f11(x3621,x3622),f10(x3623),a23)+P1(x3622,f16(f16(f14(x3623))),a23)),
% 126.16/126.45 inference(scs_inference,[],[6,202])).
% 126.16/126.45 cnf(365,plain,
% 126.16/126.45 (P1(x3651,f16(f16(f14(x3652))),a23)+~P1(f11(x3653,f11(x3654,x3651)),f10(x3652),a23)),
% 126.16/126.45 inference(scs_inference,[],[362,8])).
% 126.16/126.45 cnf(401,plain,
% 126.16/126.45 (~P1(f11(x4011,f11(x4012,f11(f13(f18(a22)),x4013))),f20(f10(f5(a4,a1)),f10(f5(a4,a1)),a23),a23)),
% 126.16/126.45 inference(scs_inference,[],[115,12])).
% 126.16/126.45 cnf(453,plain,
% 126.16/126.45 (~P1(f11(x4531,f11(x4532,x4533)),f10(x4534),a23)+P1(x4533,f16(f16(f16(f14(x4534)))),a23)),
% 126.16/126.45 inference(scs_inference,[],[6,365])).
% 126.16/126.45 cnf(681,plain,
% 126.16/126.45 (P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f16(f16(f20(f16(f10(f5(a4,a1))),f14(f5(a4,a1)),a23))),a23)),
% 126.16/126.45 inference(scs_inference,[],[266,401,146,12,8,9,13,6])).
% 126.16/126.45 cnf(728,plain,
% 126.16/126.45 (P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f16(f16(f16(f20(f16(f10(f5(a4,a1))),f14(f5(a4,a1)),a23)))),a23)),
% 126.16/126.45 inference(scs_inference,[],[681,148,8,9,6])).
% 126.16/126.45 cnf(771,plain,
% 126.16/126.45 (~P1(f11(x7711,f11(f11(f11(x7712,f11(x7713,f13(f18(a22)))),x7714),x7715)),f10(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[182,8])).
% 126.16/126.45 cnf(1015,plain,
% 126.16/126.45 (P1(f11(f15(a32),f11(a30,f12(f18(a28),f11(f15(a33),f13(a29))))),f10(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[1,4,728,771,9,14,6,13])).
% 126.16/126.45 cnf(1029,plain,
% 126.16/126.45 (P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f20(f16(f10(f5(a4,a1))),f14(f5(a4,a1)),a23),a23)),
% 126.16/126.45 inference(scs_inference,[],[1,4,728,771,9,14,6,13,202,232,257,261,288,365,21])).
% 126.16/126.45 cnf(1030,plain,
% 126.16/126.45 (P1(f12(f18(a22),f11(a31,f11(a25,f11(f3(a27),f3(a22))))),f20(f16(f10(f5(a4,a1))),f14(f5(a4,a1)),a23),a23)),
% 126.16/126.45 inference(scs_inference,[],[1,4,728,771,9,14,6,13,202,232,257,261,288,365,21,55])).
% 126.16/126.45 cnf(1053,plain,
% 126.16/126.45 (P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f16(f10(f5(a4,a1))),a23)+~P1(f12(f18(a22),f11(a31,f11(a25,f11(f3(a27),f3(a22))))),f14(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[1029,1015,197,362,453,7,8,9,12,16])).
% 126.16/126.45 cnf(1104,plain,
% 126.16/126.45 (P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f10(f5(a4,a1)),a23)+~P1(f12(f18(a22),f11(a31,f11(a25,f11(f3(a27),f3(a22))))),f14(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[1053,36])).
% 126.16/126.45 cnf(1109,plain,
% 126.16/126.45 (P1(f12(f18(a22),f11(a25,f11(f3(a22),f3(a26)))),f14(f5(a4,a1)),a23)+~P1(f12(f18(a22),f11(a31,f11(a25,f11(f3(a27),f3(a22))))),f14(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[1104,7])).
% 126.16/126.45 cnf(1114,plain,
% 126.16/126.45 (~P1(f12(f18(a22),f11(a31,f11(a25,f11(f3(a27),f3(a22))))),f14(f5(a4,a1)),a23)),
% 126.16/126.45 inference(scs_inference,[],[1109,16])).
% 126.16/126.45 cnf(1140,plain,
% 126.16/126.45 ($false),
% 126.16/126.45 inference(scs_inference,[],[1114,1,18,1030,7,8,9,10,51,155,157,319,258,235,13,14,12]),
% 126.16/126.45 ['proof']).
% 126.16/126.45 % SZS output end Proof
% 126.16/126.45 % Total time :125.590000s
%------------------------------------------------------------------------------