TSTP Solution File: SET843-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET843-2 : 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 : n004.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 14:31:19 EDT 2023
% Result : Unsatisfiable 0.80s 0.88s
% Output : CNFRefutation 0.80s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : SET843-2 : TPTP v8.1.2. Released v3.2.0.
% 0.00/0.11 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.10/0.32 % Computer : n004.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Sat Aug 26 15:17:22 EDT 2023
% 0.17/0.32 % CPUTime :
% 0.17/0.56 start to proof:theBenchmark
% 0.80/0.87 %-------------------------------------------
% 0.80/0.87 % File :CSE---1.6
% 0.80/0.87 % Problem :theBenchmark
% 0.80/0.87 % Transform :cnf
% 0.80/0.87 % Format :tptp:raw
% 0.80/0.87 % Command :java -jar mcs_scs.jar %d %s
% 0.80/0.87
% 0.80/0.87 % Result :Theorem 0.260000s
% 0.80/0.87 % Output :CNFRefutation 0.260000s
% 0.80/0.87 %-------------------------------------------
% 0.80/0.87 %------------------------------------------------------------------------------
% 0.80/0.87 % File : SET843-2 : TPTP v8.1.2. Released v3.2.0.
% 0.80/0.88 % Domain : Set Theory
% 0.80/0.88 % Problem : Problem about Zorn's lemma
% 0.80/0.88 % Version : [Pau06] axioms : Reduced > Especial.
% 0.80/0.88 % English :
% 0.80/0.88
% 0.80/0.88 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.80/0.88 % Source : [Pau06]
% 0.80/0.88 % Names :
% 0.80/0.88
% 0.80/0.88 % Status : Unsatisfiable
% 0.80/0.88 % 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, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.00 v6.1.0, 0.14 v6.0.0, 0.00 v5.5.0, 0.15 v5.3.0, 0.17 v5.2.0, 0.06 v5.0.0, 0.00 v4.1.0, 0.08 v4.0.1, 0.09 v4.0.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.14 v3.2.0
% 0.80/0.88 % Syntax : Number of clauses : 10 ( 3 unt; 1 nHn; 8 RR)
% 0.80/0.88 % Number of literals : 20 ( 6 equ; 10 neg)
% 0.80/0.88 % Maximal clause size : 4 ( 2 avg)
% 0.80/0.88 % Maximal term depth : 4 ( 1 avg)
% 0.80/0.88 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 0.80/0.88 % Number of functors : 7 ( 7 usr; 3 con; 0-3 aty)
% 0.80/0.88 % Number of variables : 21 ( 2 sgn)
% 0.80/0.88 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.80/0.88
% 0.80/0.88 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.80/0.88 % of which only a small selection are required for the refutation.
% 0.80/0.88 % The mission is to find those few axioms, after which a refutation
% 0.80/0.88 % can be quite easily found. This version has only the necessary
% 0.80/0.88 % axioms.
% 0.80/0.88 %------------------------------------------------------------------------------
% 0.80/0.88 cnf(cls_Set_OUnion__upper_0,axiom,
% 0.80/0.88 ( ~ c_in(V_B,V_A,tc_set(T_a))
% 0.80/0.88 | c_lessequals(V_B,c_Union(V_A,T_a),tc_set(T_a)) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Set_Osubset__antisym_0,axiom,
% 0.80/0.88 ( ~ c_lessequals(V_B,V_A,tc_set(T_a))
% 0.80/0.88 | ~ c_lessequals(V_A,V_B,tc_set(T_a))
% 0.80/0.88 | V_A = V_B ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Set_Osubset__refl_0,axiom,
% 0.80/0.88 c_lessequals(V_A,V_A,tc_set(T_a)) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
% 0.80/0.88 c_lessequals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a))) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Zorn_OTFin_OsuccI_0,axiom,
% 0.80/0.88 ( ~ c_in(V_x,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 0.80/0.88 | c_in(c_Zorn_Osucc(V_S,V_x,T_a),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Zorn_OTFin__UnionI_0,axiom,
% 0.80/0.88 ( ~ c_lessequals(V_Y,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(tc_set(T_a))))
% 0.80/0.88 | c_in(c_Union(V_Y,tc_set(T_a)),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a))) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_Zorn_Oeq__succ__upper_0,axiom,
% 0.80/0.88 ( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 0.80/0.88 | ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 0.80/0.88 | V_m != c_Zorn_Osucc(V_S,V_m,T_a)
% 0.80/0.88 | c_lessequals(V_n,V_m,tc_set(tc_set(T_a))) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_conjecture_0,negated_conjecture,
% 0.80/0.88 c_in(v_m,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_conjecture_1,negated_conjecture,
% 0.80/0.88 ( v_m != c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a))
% 0.80/0.88 | v_m != c_Zorn_Osucc(v_S,v_m,t_a) ) ).
% 0.80/0.88
% 0.80/0.88 cnf(cls_conjecture_2,negated_conjecture,
% 0.80/0.88 ( v_m = c_Zorn_Osucc(v_S,v_m,t_a)
% 0.80/0.88 | v_m = c_Union(c_Zorn_OTFin(v_S,t_a),tc_set(t_a)) ) ).
% 0.80/0.88
% 0.80/0.88 %------------------------------------------------------------------------------
% 0.80/0.88 %-------------------------------------------
% 0.80/0.88 % Proof found
% 0.80/0.88 % SZS status Theorem for theBenchmark
% 0.80/0.88 % SZS output start Proof
% 0.80/0.88 %ClaNum:27(EqnAxiom:17)
% 0.80/0.88 %VarNum:57(SingletonVarNum:21)
% 0.80/0.88 %MaxLitNum:4
% 0.80/0.88 %MaxfuncDepth:3
% 0.80/0.88 %SharedTerms:13
% 0.80/0.88 %goalClause: 19 21 22
% 0.80/0.88 %singleGoalClaCount:1
% 0.80/0.88 [19]P2(a6,f3(a7,a2),f1(f1(a2)))
% 0.80/0.88 [18]P1(x181,x181,f1(x182))
% 0.80/0.88 [20]P1(x201,f5(x202,x201,x203),f1(f1(x203)))
% 0.80/0.88 [21]E(f5(a7,a6,a2),a6)+E(f4(f3(a7,a2),f1(a2)),a6)
% 0.80/0.88 [22]~E(f5(a7,a6,a2),a6)+~E(f4(f3(a7,a2),f1(a2)),a6)
% 0.80/0.88 [23]~P2(x231,x232,f1(x233))+P1(x231,f4(x232,x233),f1(x233))
% 0.80/0.88 [26]~P2(x262,f3(x261,x263),f1(f1(x263)))+P2(f5(x261,x262,x263),f3(x261,x263),f1(f1(x263)))
% 0.80/0.88 [25]P2(f4(x251,f1(x252)),f3(x253,x252),f1(f1(x252)))+~P1(x251,f3(x253,x252),f1(f1(f1(x252))))
% 0.80/0.88 [24]E(x241,x242)+~P1(x242,x241,f1(x243))+~P1(x241,x242,f1(x243))
% 0.80/0.88 [27]~E(f5(x274,x272,x273),x272)+~P2(x271,f3(x274,x273),f1(f1(x273)))+~P2(x272,f3(x274,x273),f1(f1(x273)))+P1(x271,x272,f1(f1(x273)))
% 0.80/0.88 %EqnAxiom
% 0.80/0.88 [1]E(x11,x11)
% 0.80/0.88 [2]E(x22,x21)+~E(x21,x22)
% 0.80/0.88 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.80/0.88 [4]~E(x41,x42)+E(f1(x41),f1(x42))
% 0.80/0.88 [5]~E(x51,x52)+E(f3(x51,x53),f3(x52,x53))
% 0.80/0.88 [6]~E(x61,x62)+E(f3(x63,x61),f3(x63,x62))
% 0.80/0.88 [7]~E(x71,x72)+E(f4(x71,x73),f4(x72,x73))
% 0.80/0.88 [8]~E(x81,x82)+E(f4(x83,x81),f4(x83,x82))
% 0.80/0.88 [9]~E(x91,x92)+E(f5(x91,x93,x94),f5(x92,x93,x94))
% 0.80/0.88 [10]~E(x101,x102)+E(f5(x103,x101,x104),f5(x103,x102,x104))
% 0.80/0.88 [11]~E(x111,x112)+E(f5(x113,x114,x111),f5(x113,x114,x112))
% 0.80/0.88 [12]P1(x122,x123,x124)+~E(x121,x122)+~P1(x121,x123,x124)
% 0.80/0.88 [13]P1(x133,x132,x134)+~E(x131,x132)+~P1(x133,x131,x134)
% 0.80/0.88 [14]P1(x143,x144,x142)+~E(x141,x142)+~P1(x143,x144,x141)
% 0.80/0.88 [15]P2(x152,x153,x154)+~E(x151,x152)+~P2(x151,x153,x154)
% 0.80/0.88 [16]P2(x163,x162,x164)+~E(x161,x162)+~P2(x163,x161,x164)
% 0.80/0.88 [17]P2(x173,x174,x172)+~E(x171,x172)+~P2(x173,x174,x171)
% 0.80/0.88
% 0.80/0.88 %-------------------------------------------
% 0.80/0.88 cnf(28,plain,
% 0.80/0.88 (P2(f4(f3(x281,x282),f1(x282)),f3(x281,x282),f1(f1(x282)))),
% 0.80/0.88 inference(scs_inference,[],[18,25])).
% 0.80/0.88 cnf(30,plain,
% 0.80/0.88 (P1(a6,f4(f3(a7,a2),f1(a2)),f1(f1(a2)))),
% 0.80/0.88 inference(scs_inference,[],[19,18,25,23])).
% 0.80/0.88 cnf(32,plain,
% 0.80/0.88 (P2(f5(a7,a6,a2),f3(a7,a2),f1(f1(a2)))),
% 0.80/0.88 inference(scs_inference,[],[19,18,25,23,26])).
% 0.80/0.88 cnf(34,plain,
% 0.80/0.88 (E(x341,f5(x342,x341,x343))+~P1(f5(x342,x341,x343),x341,f1(f1(x343)))),
% 0.80/0.88 inference(scs_inference,[],[19,18,20,25,23,26,24])).
% 0.80/0.88 cnf(36,plain,
% 0.80/0.88 (E(f5(x361,x362,x363),x362)+~P1(f5(x361,x362,x363),x362,f1(f1(x363)))),
% 0.80/0.88 inference(scs_inference,[],[19,18,20,25,23,26,24,2])).
% 0.80/0.88 cnf(37,plain,
% 0.80/0.88 (~P2(x371,x372,f5(x373,x374,x375))+P2(x371,x372,x374)+~P1(f5(x373,x374,x375),x374,f1(f1(x375)))),
% 0.80/0.88 inference(scs_inference,[],[19,18,20,25,23,26,24,2,17])).
% 0.80/0.89 cnf(47,plain,
% 0.80/0.89 (E(f4(f3(a7,a2),f1(a2)),a6)+~P1(f4(f3(a7,a2),f1(a2)),a6,f1(f1(a2)))),
% 0.80/0.89 inference(scs_inference,[],[30,24])).
% 0.80/0.89 cnf(72,plain,
% 0.80/0.89 (P1(f5(a7,a6,a2),f4(f3(a7,a2),f1(a2)),f1(f1(a2)))),
% 0.80/0.89 inference(scs_inference,[],[32,23])).
% 0.80/0.89 cnf(74,plain,
% 0.80/0.89 (P2(f5(x741,f4(f3(x741,x742),f1(x742)),x742),f3(x741,x742),f1(f1(x742)))),
% 0.80/0.89 inference(scs_inference,[],[28,32,23,26])).
% 0.80/0.89 cnf(76,plain,
% 0.80/0.89 (~P1(f5(a7,a6,a2),a6,f1(f1(a2)))+~E(f4(f3(a7,a2),f1(a2)),a6)),
% 0.80/0.89 inference(scs_inference,[],[22,36])).
% 0.80/0.89 cnf(80,plain,
% 0.80/0.89 (P1(a6,x801,f1(f1(a2)))+~E(f4(f3(a7,a2),f1(a2)),x801)),
% 0.80/0.89 inference(scs_inference,[],[30,13])).
% 0.80/0.89 cnf(89,plain,
% 0.80/0.89 (E(f4(f3(x891,x892),f1(x892)),f5(x891,f4(f3(x891,x892),f1(x892)),x892))),
% 0.80/0.89 inference(scs_inference,[],[74,34,23])).
% 0.80/0.89 cnf(90,plain,
% 0.80/0.89 (P1(f5(x901,f4(f3(x901,x902),f1(x902)),x902),f4(f3(x901,x902),f1(x902)),f1(x903))),
% 0.80/0.89 inference(scs_inference,[],[89,18,12])).
% 0.80/0.89 cnf(92,plain,
% 0.80/0.89 (P1(a6,f5(a7,f4(f3(a7,a2),f1(a2)),a2),f1(f1(a2)))),
% 0.80/0.89 inference(scs_inference,[],[89,18,12,80])).
% 0.80/0.89 cnf(93,plain,
% 0.80/0.89 (E(f4(f3(x931,x932),f1(x932)),f5(x931,f4(f3(x931,x932),f1(x932)),x932))),
% 0.80/0.89 inference(rename_variables,[],[89])).
% 0.80/0.89 cnf(96,plain,
% 0.80/0.89 (E(f5(x961,f4(f3(x961,x962),f1(x962)),x962),f4(f3(x961,x962),f1(x962)))),
% 0.80/0.89 inference(scs_inference,[],[89,93,18,12,80,36,2])).
% 0.80/0.89 cnf(100,plain,
% 0.80/0.89 (P2(f4(f3(x1001,x1002),f1(x1002)),x1003,f1(f1(x1002)))+~E(f3(x1001,x1002),x1003)),
% 0.80/0.89 inference(scs_inference,[],[28,89,93,18,12,80,36,2,37,17,16])).
% 0.80/0.89 cnf(107,plain,
% 0.80/0.89 (P2(f5(a7,f5(a7,a6,a2),a2),f3(a7,a2),f1(f1(a2)))),
% 0.80/0.89 inference(scs_inference,[],[32,26])).
% 0.80/0.89 cnf(111,plain,
% 0.80/0.89 (~E(a6,f5(a7,a6,a2))+~E(f4(f3(a7,a2),f1(a2)),a6)),
% 0.80/0.89 inference(scs_inference,[],[18,76,12])).
% 0.80/0.89 cnf(112,plain,
% 0.80/0.89 (~P1(f4(f3(a7,a2),f1(a2)),a6,f1(f1(a2)))+~E(a6,f5(a7,a6,a2))),
% 0.80/0.89 inference(scs_inference,[],[111,47])).
% 0.80/0.89 cnf(113,plain,
% 0.80/0.89 (P1(f5(a7,a6,a2),f5(a7,f4(f3(a7,a2),f1(a2)),a2),f1(f1(a2)))),
% 0.80/0.89 inference(scs_inference,[],[72,89,13])).
% 0.80/0.89 cnf(115,plain,
% 0.80/0.89 (E(f5(a7,a6,a2),f4(f3(a7,a2),f1(a2)))+~P1(f4(f3(a7,a2),f1(a2)),f5(a7,a6,a2),f1(f1(a2)))),
% 0.80/0.89 inference(scs_inference,[],[72,89,13,24])).
% 0.80/0.89 cnf(121,plain,
% 0.80/0.89 (~E(f5(x1211,f4(f3(a7,a2),f1(a2)),a2),a6)+~E(a6,f5(a7,a6,a2))),
% 0.80/0.89 inference(scs_inference,[],[20,112,13])).
% 0.80/0.89 cnf(137,plain,
% 0.80/0.89 (~E(f5(a7,a6,a2),a6)+~E(f5(x1371,f4(f3(a7,a2),f1(a2)),a2),a6)),
% 0.80/0.89 inference(scs_inference,[],[121,2])).
% 0.80/0.89 cnf(138,plain,
% 0.80/0.89 (P1(f4(f3(x1381,x1382),f1(x1382)),f5(x1381,f4(f3(x1381,x1382),f1(x1382)),x1382),f1(x1383))),
% 0.80/0.89 inference(scs_inference,[],[89,18,13])).
% 0.80/0.89 cnf(140,plain,
% 0.80/0.89 (P2(f5(a7,f5(a7,f5(a7,a6,a2),a2),a2),f3(a7,a2),f1(f1(a2)))),
% 0.80/0.89 inference(scs_inference,[],[89,107,18,13,26])).
% 0.80/0.89 cnf(147,plain,
% 0.80/0.89 (E(f4(f3(a7,a2),f1(a2)),a6)+~E(f5(x1471,f4(f3(a7,a2),f1(a2)),a2),a6)),
% 0.80/0.89 inference(scs_inference,[],[137,21])).
% 0.80/0.89 cnf(155,plain,
% 0.80/0.89 (~P1(f5(a7,a6,a2),a6,f1(f1(a2)))+~E(f5(x1551,f4(f3(a7,a2),f1(a2)),a2),a6)),
% 0.80/0.89 inference(scs_inference,[],[147,76])).
% 0.80/0.89 cnf(164,plain,
% 0.80/0.89 (~E(f5(a7,f4(f3(a7,a2),f1(a2)),a2),a6)+~E(f5(x1641,f4(f3(a7,a2),f1(a2)),a2),a6)),
% 0.80/0.89 inference(scs_inference,[],[113,155,13])).
% 0.80/0.89 cnf(165,plain,
% 0.80/0.89 (~E(f5(a7,f4(f3(a7,a2),f1(a2)),a2),a6)),
% 0.80/0.89 inference(factoring_inference,[],[164])).
% 0.80/0.89 cnf(169,plain,
% 0.80/0.89 (~P1(f4(f3(a7,a2),f1(a2)),a6,f1(f1(a2)))),
% 0.80/0.89 inference(scs_inference,[],[89,92,165,24,12])).
% 0.80/0.89 cnf(174,plain,
% 0.80/0.89 (~E(f5(x1741,f4(f3(a7,a2),f1(a2)),a2),a6)),
% 0.80/0.89 inference(scs_inference,[],[89,92,165,96,24,12,3,2,147])).
% 0.80/0.89 cnf(176,plain,
% 0.80/0.89 (E(f5(x1761,x1762,f5(a7,a6,a2)),f5(x1761,x1762,a6))),
% 0.80/0.89 inference(scs_inference,[],[89,92,165,96,24,12,3,2,147,21,11])).
% 0.80/0.89 cnf(177,plain,
% 0.80/0.89 (E(f3(f5(a7,a6,a2),x1771),f3(a6,x1771))),
% 0.80/0.89 inference(scs_inference,[],[89,92,165,96,24,12,3,2,147,21,11,5])).
% 0.80/0.89 cnf(178,plain,
% 0.80/0.89 (E(f5(x1781,f5(a7,a6,a2),x1782),f5(x1781,a6,x1782))),
% 0.80/0.89 inference(scs_inference,[],[89,92,165,96,24,12,3,2,147,21,11,5,10])).
% 0.80/0.89 cnf(179,plain,
% 0.80/0.89 (E(f5(f5(a7,a6,a2),x1791,x1792),f5(a6,x1791,x1792))),
% 0.80/0.89 inference(scs_inference,[],[89,92,165,96,24,12,3,2,147,21,11,5,10,9])).
% 0.80/0.89 cnf(180,plain,
% 0.80/0.89 (E(f4(x1801,f5(a7,a6,a2)),f4(x1801,a6))),
% 0.80/0.89 inference(scs_inference,[],[89,92,165,96,24,12,3,2,147,21,11,5,10,9,8])).
% 0.80/0.89 cnf(181,plain,
% 0.80/0.89 (E(f4(f5(a7,a6,a2),x1811),f4(a6,x1811))),
% 0.80/0.89 inference(scs_inference,[],[89,92,165,96,24,12,3,2,147,21,11,5,10,9,8,7])).
% 0.80/0.89 cnf(184,plain,
% 0.80/0.89 (P1(f5(a7,f5(a7,f5(a7,a6,a2),a2),a2),a6,f1(f1(a2)))),
% 0.80/0.89 inference(scs_inference,[],[89,92,140,165,96,19,24,12,3,2,147,21,11,5,10,9,8,7,6,4,27])).
% 0.80/0.89 cnf(187,plain,
% 0.80/0.89 (~P1(f5(a7,f4(f3(a7,a2),f1(a2)),a2),f5(a7,a6,a2),f1(f1(a2)))),
% 0.80/0.89 inference(scs_inference,[],[89,92,140,165,96,19,24,12,3,2,147,21,11,5,10,9,8,7,6,4,27,15,13])).
% 0.80/0.89 cnf(199,plain,
% 0.80/0.89 (E(f5(x1991,x1992,f5(a7,a6,a2)),f5(x1991,x1992,a6))),
% 0.80/0.89 inference(rename_variables,[],[176])).
% 0.80/0.89 cnf(202,plain,
% 0.80/0.89 (~E(f4(f3(a7,a2),f1(a2)),f5(a7,a6,a2))),
% 0.80/0.89 inference(scs_inference,[],[90,187,176,199,178,177,100,23,3,2,13])).
% 0.80/0.89 cnf(218,plain,
% 0.80/0.89 (~E(f5(a7,a6,a2),f4(f3(a7,a2),f1(a2)))),
% 0.80/0.89 inference(scs_inference,[],[96,202,179,3,2])).
% 0.80/0.89 cnf(234,plain,
% 0.80/0.89 (~P1(f4(f3(a7,a2),f1(a2)),f5(a7,a6,a2),f1(f1(a2)))),
% 0.80/0.89 inference(scs_inference,[],[218,115])).
% 0.80/0.89 cnf(259,plain,
% 0.80/0.89 (E(f4(x2591,f5(a7,a6,a2)),f4(x2591,a6))),
% 0.80/0.89 inference(rename_variables,[],[180])).
% 0.80/0.89 cnf(266,plain,
% 0.80/0.89 ($false),
% 0.80/0.89 inference(scs_inference,[],[234,180,259,181,174,138,184,169,178,32,28,3,2,13,12,5,27]),
% 0.80/0.89 ['proof']).
% 0.80/0.89 % SZS output end Proof
% 0.80/0.89 % Total time :0.260000s
%------------------------------------------------------------------------------