TSTP Solution File: SET857-2 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET857-2 : 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 : n032.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 14:31:27 EDT 2023
% Result : Unsatisfiable 0.92s 1.07s
% Output : CNFRefutation 0.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.10 % Problem : SET857-2 : 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
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 300
% 0.10/0.30 % DateTime : Sat Aug 26 13:38:13 EDT 2023
% 0.10/0.30 % CPUTime :
% 0.15/0.46 start to proof:theBenchmark
% 0.92/1.06 %-------------------------------------------
% 0.92/1.06 % File :CSE---1.6
% 0.92/1.06 % Problem :theBenchmark
% 0.92/1.06 % Transform :cnf
% 0.92/1.06 % Format :tptp:raw
% 0.92/1.06 % Command :java -jar mcs_scs.jar %d %s
% 0.92/1.06
% 0.92/1.06 % Result :Theorem 0.550000s
% 0.92/1.06 % Output :CNFRefutation 0.550000s
% 0.92/1.06 %-------------------------------------------
% 0.92/1.06 %------------------------------------------------------------------------------
% 0.92/1.06 % File : SET857-2 : TPTP v8.1.2. Released v3.2.0.
% 0.92/1.06 % Domain : Set Theory
% 0.92/1.07 % Problem : Problem about Zorn's lemma
% 0.92/1.07 % Version : [Pau06] axioms : Reduced > Especial.
% 0.92/1.07 % English :
% 0.92/1.07
% 0.92/1.07 % Refs : [Pau06] Paulson (2006), Email to G. Sutcliffe
% 0.92/1.07 % Source : [Pau06]
% 0.92/1.07 % Names :
% 0.92/1.07
% 0.92/1.07 % Status : Unsatisfiable
% 0.92/1.07 % 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 v6.3.0, 0.09 v6.2.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.10 v5.4.0, 0.15 v5.3.0, 0.22 v5.2.0, 0.06 v5.0.0, 0.07 v4.1.0, 0.15 v4.0.1, 0.09 v4.0.0, 0.00 v3.4.0, 0.08 v3.3.0, 0.29 v3.2.0
% 0.92/1.07 % Syntax : Number of clauses : 14 ( 6 unt; 6 nHn; 12 RR)
% 0.92/1.07 % Number of literals : 38 ( 2 equ; 18 neg)
% 0.92/1.07 % Maximal clause size : 5 ( 2 avg)
% 0.92/1.07 % Maximal term depth : 4 ( 2 avg)
% 0.92/1.07 % Number of predicates : 3 ( 2 usr; 0 prp; 2-3 aty)
% 0.92/1.07 % Number of functors : 10 ( 10 usr; 5 con; 0-3 aty)
% 0.92/1.07 % Number of variables : 31 ( 1 sgn)
% 0.92/1.07 % SPC : CNF_UNS_RFO_SEQ_NHN
% 0.92/1.07
% 0.92/1.07 % Comments : The problems in the [Pau06] collection each have very many axioms,
% 0.92/1.07 % of which only a small selection are required for the refutation.
% 0.92/1.07 % The mission is to find those few axioms, after which a refutation
% 0.92/1.07 % can be quite easily found. This version has only the necessary
% 0.92/1.07 % axioms.
% 0.92/1.07 %------------------------------------------------------------------------------
% 0.92/1.07 cnf(cls_Set_OsubsetD_0,axiom,
% 0.92/1.07 ( ~ c_in(V_c,V_A,T_a)
% 0.92/1.07 | ~ c_lessequals(V_A,V_B,tc_set(T_a))
% 0.92/1.07 | c_in(V_c,V_B,T_a) ) ).
% 0.92/1.07
% 0.92/1.07 cnf(cls_Set_OsubsetI_0,axiom,
% 0.92/1.07 ( c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_A,T_a)
% 0.92/1.07 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 0.92/1.07
% 0.92/1.07 cnf(cls_Set_OsubsetI_1,axiom,
% 0.92/1.07 ( ~ c_in(c_Main_OsubsetI__1(V_A,V_B,T_a),V_B,T_a)
% 0.92/1.07 | c_lessequals(V_A,V_B,tc_set(T_a)) ) ).
% 0.92/1.07
% 0.92/1.07 cnf(cls_Zorn_OAbrial__axiom1_0,axiom,
% 0.92/1.07 c_lessequals(V_x,c_Zorn_Osucc(V_S,V_x,T_a),tc_set(tc_set(T_a))) ).
% 0.92/1.07
% 0.92/1.07 cnf(cls_Zorn_OTFin__linear__lemma1_0,axiom,
% 0.92/1.07 ( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 0.92/1.07 | ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 0.92/1.07 | c_in(c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 0.92/1.07 | c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
% 0.92/1.07 | c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ).
% 0.92/1.07
% 0.92/1.07 cnf(cls_Zorn_OTFin__linear__lemma1_1,axiom,
% 0.92/1.07 ( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 0.92/1.07 | ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 0.92/1.07 | c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
% 0.92/1.07 | c_lessequals(c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),V_m,tc_set(tc_set(T_a)))
% 0.92/1.07 | c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ).
% 0.92/1.07
% 0.92/1.07 cnf(cls_Zorn_OTFin__linear__lemma1_2,axiom,
% 0.92/1.07 ( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 0.92/1.07 | ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 0.92/1.07 | c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a) != V_m
% 0.92/1.07 | c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
% 0.92/1.07 | c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ).
% 0.92/1.07
% 0.92/1.07 cnf(cls_Zorn_OTFin__linear__lemma1_3,axiom,
% 0.92/1.07 ( ~ c_in(V_m,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 0.92/1.07 | ~ c_in(V_n,c_Zorn_OTFin(V_S,T_a),tc_set(tc_set(T_a)))
% 0.92/1.07 | ~ c_lessequals(c_Zorn_Osucc(V_S,c_Zorn_OTFin__linear__lemma1__1(V_S,V_m,T_a),T_a),V_m,tc_set(tc_set(T_a)))
% 0.92/1.07 | c_lessequals(V_n,V_m,tc_set(tc_set(T_a)))
% 0.92/1.07 | c_lessequals(c_Zorn_Osucc(V_S,V_m,T_a),V_n,tc_set(tc_set(T_a))) ) ).
% 0.92/1.07
% 0.92/1.07 cnf(cls_conjecture_0,negated_conjecture,
% 0.92/1.07 c_lessequals(v_Y,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(tc_set(t_a)))) ).
% 0.92/1.07
% 0.92/1.07 cnf(cls_conjecture_1,negated_conjecture,
% 0.92/1.07 c_in(v_n,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a))) ).
% 0.92/1.07
% 0.92/1.07 cnf(cls_conjecture_3,negated_conjecture,
% 0.92/1.07 c_in(v_x,v_Y,tc_set(tc_set(t_a))) ).
% 0.92/1.07
% 0.92/1.07 cnf(cls_conjecture_4,negated_conjecture,
% 0.92/1.07 ~ c_lessequals(v_x,v_n,tc_set(tc_set(t_a))) ).
% 0.92/1.07
% 0.92/1.07 cnf(cls_conjecture_5,negated_conjecture,
% 0.92/1.07 ~ c_lessequals(c_Zorn_Osucc(v_S,v_n,t_a),v_x,tc_set(tc_set(t_a))) ).
% 0.92/1.07
% 0.92/1.07 cnf(cls_conjecture_6,negated_conjecture,
% 0.92/1.07 ( c_lessequals(c_Zorn_Osucc(v_S,V_V,t_a),V_U,tc_set(tc_set(t_a)))
% 0.92/1.07 | V_V = V_U
% 0.92/1.07 | ~ c_lessequals(V_V,V_U,tc_set(tc_set(t_a)))
% 0.92/1.07 | ~ c_in(V_V,c_Zorn_OTFin(v_S,t_a),tc_set(tc_set(t_a)))
% 0.92/1.07 | ~ c_in(V_U,v_Y,tc_set(tc_set(t_a))) ) ).
% 0.92/1.07
% 0.92/1.07 %------------------------------------------------------------------------------
% 0.92/1.07 %-------------------------------------------
% 0.92/1.07 % Proof found
% 0.92/1.07 % SZS status Theorem for theBenchmark
% 0.92/1.07 % SZS output start Proof
% 0.92/1.07 %ClaNum:35(EqnAxiom:21)
% 0.92/1.07 %VarNum:124(SingletonVarNum:31)
% 0.92/1.07 %MaxLitNum:5
% 0.92/1.07 %MaxfuncDepth:3
% 0.92/1.07 %SharedTerms:15
% 0.92/1.07 %goalClause: 22 23 24 26 27 31
% 0.92/1.07 %singleGoalClaCount:5
% 0.92/1.07 [22]P1(a1,a2,f8(f8(a3)))
% 0.92/1.07 [23]P1(a10,f4(a9,a3),f8(f8(a3)))
% 0.92/1.07 [26]~P2(a1,a10,f8(f8(a3)))
% 0.92/1.07 [27]~P2(f6(a9,a10,a3),a1,f8(f8(a3)))
% 0.92/1.07 [24]P2(a2,f4(a9,a3),f8(f8(f8(a3))))
% 0.92/1.07 [25]P2(x251,f6(x252,x251,x253),f8(f8(x253)))
% 0.92/1.07 [28]P1(f5(x281,x282,x283),x281,x283)+P2(x281,x282,f8(x283))
% 0.92/1.07 [30]~P1(f5(x301,x302,x303),x302,x303)+P2(x301,x302,f8(x303))
% 0.92/1.07 [29]P1(x291,x292,x293)+~P1(x291,x294,x293)+~P2(x294,x292,f8(x293))
% 0.92/1.07 [31]E(x311,x312)+~P2(x311,x312,f8(f8(a3)))+~P1(x311,f4(a9,a3),f8(f8(a3)))+P2(f6(a9,x311,a3),x312,f8(f8(a3)))+~P1(x312,a2,f8(f8(a3)))
% 0.92/1.07 [32]~E(f7(x324,x322,x323),x322)+~P1(x321,f4(x324,x323),f8(f8(x323)))+~P1(x322,f4(x324,x323),f8(f8(x323)))+P2(f6(x324,x322,x323),x321,f8(f8(x323)))+P2(x321,x322,f8(f8(x323)))
% 0.92/1.07 [33]P2(f7(x334,x332,x333),x332,f8(f8(x333)))+~P1(x331,f4(x334,x333),f8(f8(x333)))+~P1(x332,f4(x334,x333),f8(f8(x333)))+P2(f6(x334,x332,x333),x331,f8(f8(x333)))+P2(x331,x332,f8(f8(x333)))
% 0.92/1.07 [34]P1(f7(x344,x342,x343),f4(x344,x343),f8(f8(x343)))+~P1(x341,f4(x344,x343),f8(f8(x343)))+~P1(x342,f4(x344,x343),f8(f8(x343)))+P2(f6(x344,x342,x343),x341,f8(f8(x343)))+P2(x341,x342,f8(f8(x343)))
% 0.92/1.07 [35]~P2(f6(x354,f7(x354,x352,x353),x353),x352,f8(f8(x353)))+~P1(x351,f4(x354,x353),f8(f8(x353)))+~P1(x352,f4(x354,x353),f8(f8(x353)))+P2(f6(x354,x352,x353),x351,f8(f8(x353)))+P2(x351,x352,f8(f8(x353)))
% 0.92/1.07 %EqnAxiom
% 0.92/1.07 [1]E(x11,x11)
% 0.92/1.07 [2]E(x22,x21)+~E(x21,x22)
% 0.92/1.07 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 0.92/1.07 [4]~E(x41,x42)+E(f8(x41),f8(x42))
% 0.92/1.07 [5]~E(x51,x52)+E(f6(x51,x53,x54),f6(x52,x53,x54))
% 0.92/1.07 [6]~E(x61,x62)+E(f6(x63,x61,x64),f6(x63,x62,x64))
% 0.92/1.07 [7]~E(x71,x72)+E(f6(x73,x74,x71),f6(x73,x74,x72))
% 0.92/1.07 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 0.92/1.07 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 0.92/1.07 [10]~E(x101,x102)+E(f7(x101,x103,x104),f7(x102,x103,x104))
% 0.92/1.07 [11]~E(x111,x112)+E(f7(x113,x111,x114),f7(x113,x112,x114))
% 0.92/1.07 [12]~E(x121,x122)+E(f7(x123,x124,x121),f7(x123,x124,x122))
% 0.92/1.07 [13]~E(x131,x132)+E(f5(x131,x133,x134),f5(x132,x133,x134))
% 0.92/1.07 [14]~E(x141,x142)+E(f5(x143,x141,x144),f5(x143,x142,x144))
% 0.92/1.07 [15]~E(x151,x152)+E(f5(x153,x154,x151),f5(x153,x154,x152))
% 0.92/1.07 [16]P1(x162,x163,x164)+~E(x161,x162)+~P1(x161,x163,x164)
% 0.92/1.07 [17]P1(x173,x172,x174)+~E(x171,x172)+~P1(x173,x171,x174)
% 0.92/1.07 [18]P1(x183,x184,x182)+~E(x181,x182)+~P1(x183,x184,x181)
% 0.92/1.07 [19]P2(x192,x193,x194)+~E(x191,x192)+~P2(x191,x193,x194)
% 0.92/1.07 [20]P2(x203,x202,x204)+~E(x201,x202)+~P2(x203,x201,x204)
% 0.92/1.07 [21]P2(x213,x214,x212)+~E(x211,x212)+~P2(x213,x214,x211)
% 0.92/1.07
% 0.92/1.07 %-------------------------------------------
% 0.92/1.07 cnf(36,plain,
% 0.92/1.07 (~P1(f5(a1,a10,f8(a3)),a10,f8(a3))),
% 0.92/1.07 inference(scs_inference,[],[26,30])).
% 0.92/1.07 cnf(37,plain,
% 0.92/1.07 (P1(f5(a1,a10,f8(a3)),a1,f8(a3))),
% 0.92/1.07 inference(scs_inference,[],[26,30,28])).
% 0.92/1.07 cnf(40,plain,
% 0.92/1.07 (~E(a1,a10)),
% 0.92/1.07 inference(scs_inference,[],[26,25,30,28,20,17])).
% 0.92/1.07 cnf(41,plain,
% 0.92/1.07 (P1(a1,f4(a9,a3),f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[22,26,24,25,30,28,20,17,29])).
% 0.92/1.07 cnf(43,plain,
% 0.92/1.07 (~E(f7(a9,a10,a3),a10)),
% 0.92/1.07 inference(scs_inference,[],[22,26,23,27,24,25,30,28,20,17,29,32])).
% 0.92/1.07 cnf(45,plain,
% 0.92/1.07 (P2(f7(a9,a10,a3),a10,f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[22,26,23,27,24,25,30,28,20,17,29,32,33])).
% 0.92/1.07 cnf(47,plain,
% 0.92/1.07 (~P2(f6(a9,f7(a9,a10,a3),a3),a10,f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[22,26,23,27,24,25,30,28,20,17,29,32,33,35])).
% 0.92/1.07 cnf(49,plain,
% 0.92/1.07 (P1(f7(a9,a10,a3),f4(a9,a3),f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[22,26,23,27,24,25,30,28,20,17,29,32,33,35,34])).
% 0.92/1.07 cnf(54,plain,
% 0.92/1.07 (~P1(a10,a2,f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[22,26,23,27,24,25,30,28,20,17,29,32,33,35,34,2,21,19,31])).
% 0.92/1.07 cnf(57,plain,
% 0.92/1.07 (~P2(f4(a9,a3),a2,f8(f8(f8(a3))))),
% 0.92/1.07 inference(scs_inference,[],[23,54,29])).
% 0.92/1.07 cnf(68,plain,
% 0.92/1.07 (P1(a10,f6(x681,f4(a9,a3),f8(a3)),f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[23,25,29])).
% 0.92/1.07 cnf(85,plain,
% 0.92/1.07 (~P1(f5(a1,a10,f8(a3)),f7(a9,a10,a3),f8(a3))),
% 0.92/1.07 inference(scs_inference,[],[36,45,29])).
% 0.92/1.07 cnf(120,plain,
% 0.92/1.07 (~P2(a1,f7(a9,a10,a3),f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[37,27,85,28,29])).
% 0.92/1.07 cnf(126,plain,
% 0.92/1.07 (~E(f5(a1,a10,f8(a3)),f5(f6(a9,a10,a3),a1,f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[37,27,43,85,45,47,28,29,2,19,30,16])).
% 0.92/1.07 cnf(127,plain,
% 0.92/1.07 (E(a10,a1)+~P2(a10,a1,f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[37,27,43,85,45,22,47,23,28,29,2,19,30,16,31])).
% 0.92/1.07 cnf(135,plain,
% 0.92/1.07 (P1(f5(a1,a10,f8(a3)),f6(x1351,a1,a3),f8(a3))),
% 0.92/1.07 inference(scs_inference,[],[37,25,29])).
% 0.92/1.07 cnf(156,plain,
% 0.92/1.07 (~P2(f6(x1561,f4(a9,a3),f8(a3)),a2,f8(f8(f8(a3))))),
% 0.92/1.07 inference(scs_inference,[],[37,120,68,85,54,28,17,29])).
% 0.92/1.07 cnf(167,plain,
% 0.92/1.07 (P1(f5(a1,a10,f8(a3)),f6(x1671,f6(x1672,a1,a3),a3),f8(a3))),
% 0.92/1.07 inference(scs_inference,[],[25,135,29])).
% 0.92/1.07 cnf(184,plain,
% 0.92/1.07 (~P2(x1841,a1,f8(f8(a3)))+~E(x1841,f6(a9,a10,a3))),
% 0.92/1.07 inference(scs_inference,[],[27,36,25,167,156,120,17,20,30,19])).
% 0.92/1.07 cnf(192,plain,
% 0.92/1.07 (~P2(a10,a1,f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[40,120,49,41,35,2,127])).
% 0.92/1.07 cnf(200,plain,
% 0.92/1.07 (~E(f7(a9,a1,a3),a1)+P2(f6(a9,a1,a3),a10,f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[25,41,192,23,20,32])).
% 0.92/1.07 cnf(217,plain,
% 0.92/1.07 (P2(f6(a9,a1,a3),a10,f8(f8(a3)))+P2(f7(a9,a1,a3),a1,f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[41,57,192,23,30,33])).
% 0.92/1.07 cnf(263,plain,
% 0.92/1.07 (~P1(f5(f6(a9,f7(a9,a10,a3),a3),a10,f8(a3)),a10,f8(a3))),
% 0.92/1.07 inference(scs_inference,[],[47,30])).
% 0.92/1.07 cnf(272,plain,
% 0.92/1.07 (P2(f6(a9,a1,a3),a10,f8(f8(a3)))+~P2(f6(a9,f7(a9,a1,a3),a3),a1,f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[45,41,263,192,23,29,35])).
% 0.92/1.07 cnf(278,plain,
% 0.92/1.07 (~E(f5(f6(a9,a10,a3),a1,f8(a3)),f5(a1,a10,f8(a3)))+P2(f6(a9,a1,a3),a10,f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[45,41,126,263,192,23,29,35,32,34,2])).
% 0.92/1.07 cnf(507,plain,
% 0.92/1.07 (~P2(f6(a9,f7(a9,a1,a3),a3),a1,f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[135,36,29,278,272])).
% 0.92/1.07 cnf(508,plain,
% 0.92/1.07 (P1(f7(a9,a1,a3),f4(a9,a3),f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[135,36,192,23,41,29,278,272,34])).
% 0.92/1.07 cnf(511,plain,
% 0.92/1.07 (P2(f7(a9,a1,a3),a1,f8(f8(a3)))),
% 0.92/1.07 inference(scs_inference,[],[120,135,36,192,23,41,29,278,272,34,19,217])).
% 0.92/1.07 cnf(512,plain,
% 0.92/1.07 (~E(f7(a9,a1,a3),a1)),
% 0.92/1.07 inference(scs_inference,[],[120,135,36,192,23,41,29,278,272,34,19,217,200])).
% 0.92/1.07 cnf(534,plain,
% 0.92/1.07 ($false),
% 0.92/1.07 inference(scs_inference,[],[512,507,508,511,22,184,31]),
% 0.92/1.07 ['proof']).
% 0.92/1.07 % SZS output end Proof
% 0.92/1.07 % Total time :0.550000s
%------------------------------------------------------------------------------