TSTP Solution File: SET010-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : SET010-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n009.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 14:27:47 EDT 2023
% Result : Unsatisfiable 8.92s 9.01s
% Output : CNFRefutation 8.92s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : SET010-1 : TPTP v8.1.2. Released v1.0.0.
% 0.08/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.14/0.36 % Computer : n009.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 300
% 0.14/0.36 % DateTime : Sat Aug 26 12:40:05 EDT 2023
% 0.14/0.36 % CPUTime :
% 0.60/0.65 start to proof:theBenchmark
% 8.92/9.00 %-------------------------------------------
% 8.92/9.00 % File :CSE---1.6
% 8.92/9.00 % Problem :theBenchmark
% 8.92/9.00 % Transform :cnf
% 8.92/9.00 % Format :tptp:raw
% 8.92/9.00 % Command :java -jar mcs_scs.jar %d %s
% 8.92/9.00
% 8.92/9.00 % Result :Theorem 8.280000s
% 8.92/9.00 % Output :CNFRefutation 8.280000s
% 8.92/9.00 %-------------------------------------------
% 8.92/9.00 %--------------------------------------------------------------------------
% 8.92/9.00 % File : SET010-1 : TPTP v8.1.2. Released v1.0.0.
% 8.92/9.00 % Domain : Set Theory
% 8.92/9.00 % Problem : X \ Y ^ Z = (X \ Y) U (X \ Z)
% 8.92/9.00 % Version : [LS74] axioms.
% 8.92/9.00 % English :
% 8.92/9.00
% 8.92/9.00 % Refs : [LS74] Lawrence & Starkey (1974), Experimental Tests of Resol
% 8.92/9.00 % : [WM76] Wilson & Minker (1976), Resolution, Refinements, and S
% 8.92/9.00 % Source : [SPRFN]
% 8.92/9.00 % Names : ls118 [LS74]
% 8.92/9.00 % : ls118 [WM76]
% 8.92/9.00
% 8.92/9.00 % Status : Unsatisfiable
% 8.92/9.00 % Rating : 0.14 v7.5.0, 0.00 v7.4.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.30 v5.2.0, 0.10 v5.1.0, 0.18 v5.0.0, 0.21 v4.1.0, 0.12 v4.0.1, 0.20 v4.0.0, 0.43 v3.4.0, 0.75 v3.3.0, 0.67 v3.2.0, 0.33 v2.7.0, 0.12 v2.6.0, 0.67 v2.5.0, 0.20 v2.4.0, 0.00 v2.2.1, 0.25 v2.1.0, 1.00 v2.0.0
% 8.92/9.00 % Syntax : Number of clauses : 29 ( 5 unt; 9 nHn; 24 RR)
% 8.92/9.00 % Number of literals : 79 ( 0 equ; 38 neg)
% 8.92/9.00 % Maximal clause size : 4 ( 2 avg)
% 8.92/9.00 % Maximal term depth : 2 ( 1 avg)
% 8.92/9.00 % Number of predicates : 6 ( 6 usr; 0 prp; 2-3 aty)
% 8.92/9.00 % Number of functors : 11 ( 11 usr; 7 con; 0-3 aty)
% 8.92/9.00 % Number of variables : 76 ( 6 sgn)
% 8.92/9.00 % SPC : CNF_UNS_RFO_NEQ_NHN
% 8.92/9.00
% 8.92/9.00 % Comments :
% 8.92/9.00 %--------------------------------------------------------------------------
% 8.92/9.00 %----Include the member and subset axioms
% 8.92/9.00 include('Axioms/SET001-0.ax').
% 8.92/9.00 %----Include the member and union axioms
% 8.92/9.00 include('Axioms/SET001-1.ax').
% 8.92/9.00 %----Include the member and intersection axioms
% 8.92/9.00 include('Axioms/SET001-2.ax').
% 8.92/9.00 %----Include the member and difference axioms
% 8.92/9.00 include('Axioms/SET001-3.ax').
% 8.92/9.00 %--------------------------------------------------------------------------
% 8.92/9.00 cnf(a_intersection_b,hypothesis,
% 8.92/9.00 intersection(a,b,aIb) ).
% 8.92/9.01
% 8.92/9.01 cnf(c_minus_a,hypothesis,
% 8.92/9.01 difference(c,a,cDa) ).
% 8.92/9.01
% 8.92/9.01 cnf(c_minus_b,hypothesis,
% 8.92/9.01 difference(c,b,cDb) ).
% 8.92/9.01
% 8.92/9.01 cnf(c_minus_aIb,hypothesis,
% 8.92/9.01 difference(c,aIb,cD_aIb) ).
% 8.92/9.01
% 8.92/9.01 cnf(prove_cDa_union_cDb_is_cD_aIb,negated_conjecture,
% 8.92/9.01 ~ union(cDa,cDb,cD_aIb) ).
% 8.92/9.01
% 8.92/9.01 %--------------------------------------------------------------------------
% 8.92/9.01 %-------------------------------------------
% 8.92/9.01 % Proof found
% 8.92/9.01 % SZS status Theorem for theBenchmark
% 8.92/9.01 % SZS output start Proof
% 8.92/9.01 %ClaNum:29(EqnAxiom:0)
% 8.92/9.01 %VarNum:210(SingletonVarNum:76)
% 8.92/9.01 %MaxLitNum:4
% 8.92/9.01 %MaxfuncDepth:1
% 8.92/9.01 %SharedTerms:12
% 8.92/9.01 %goalClause: 5
% 8.92/9.01 %singleGoalClaCount:1
% 8.92/9.01 [1]P1(a1,a2,a3)
% 8.92/9.01 [2]P2(a4,a1,a5)
% 8.92/9.01 [3]P2(a4,a2,a7)
% 8.92/9.01 [4]P2(a4,a3,a6)
% 8.92/9.01 [5]~P4(a5,a7,a6)
% 8.92/9.01 [6]~P3(x62,x61)+P5(x61,x62)
% 8.92/9.01 [7]~P3(x71,x72)+P5(x71,x72)
% 8.92/9.01 [8]P5(x81,x82)+P6(f8(x81,x82),x81)
% 8.92/9.01 [11]P5(x111,x112)+~P6(f8(x111,x112),x112)
% 8.92/9.01 [10]~P5(x101,x102)+~P5(x102,x101)+P3(x101,x102)
% 8.92/9.01 [9]~P5(x93,x92)+P6(x91,x92)+~P6(x91,x93)
% 8.92/9.01 [21]P1(x211,x212,x213)+P6(f9(x211,x212,x213),x213)+P6(f9(x211,x212,x213),x212)
% 8.92/9.01 [22]P1(x221,x222,x223)+P6(f9(x221,x222,x223),x223)+P6(f9(x221,x222,x223),x221)
% 8.92/9.01 [23]P2(x231,x232,x233)+P6(f11(x231,x232,x233),x233)+P6(f11(x231,x232,x233),x231)
% 8.92/9.01 [24]P2(x241,x242,x243)+P6(f11(x241,x242,x243),x243)+~P6(f11(x241,x242,x243),x242)
% 8.92/9.01 [26]P4(x261,x262,x263)+~P6(f10(x261,x262,x263),x263)+~P6(f10(x261,x262,x263),x262)
% 8.92/9.01 [27]P4(x271,x272,x273)+~P6(f10(x271,x272,x273),x273)+~P6(f10(x271,x272,x273),x271)
% 8.92/9.01 [12]P6(x121,x122)+~P4(x124,x123,x122)+~P6(x121,x123)
% 8.92/9.01 [13]P6(x131,x132)+~P4(x133,x134,x132)+~P6(x131,x133)
% 8.92/9.01 [14]P6(x141,x142)+~P1(x144,x142,x143)+~P6(x141,x143)
% 8.92/9.01 [15]P6(x151,x152)+~P1(x152,x154,x153)+~P6(x151,x153)
% 8.92/9.01 [16]P6(x161,x162)+~P2(x162,x164,x163)+~P6(x161,x163)
% 8.92/9.01 [17]~P6(x171,x172)+~P2(x174,x173,x172)+~P6(x171,x173)
% 8.92/9.01 [25]P4(x251,x252,x253)+P6(f10(x251,x252,x253),x253)+P6(f10(x251,x252,x253),x252)+P6(f10(x251,x252,x253),x251)
% 8.92/9.01 [28]P2(x281,x282,x283)+P6(f11(x281,x282,x283),x282)+~P6(f11(x281,x282,x283),x283)+~P6(f11(x281,x282,x283),x281)
% 8.92/9.01 [29]P1(x291,x292,x293)+~P6(f9(x291,x292,x293),x293)+~P6(f9(x291,x292,x293),x292)+~P6(f9(x291,x292,x293),x291)
% 8.92/9.01 [18]~P4(x183,x182,x184)+P6(x181,x182)+P6(x181,x183)+~P6(x181,x184)
% 8.92/9.01 [19]~P2(x194,x193,x192)+P6(x191,x192)+P6(x191,x193)+~P6(x191,x194)
% 8.92/9.01 [20]~P1(x204,x203,x202)+P6(x201,x202)+~P6(x201,x203)+~P6(x201,x204)
% 8.92/9.01 %EqnAxiom
% 8.92/9.01
% 8.92/9.01 %-------------------------------------------
% 8.92/9.02 cnf(30,plain,
% 8.92/9.02 (~P6(x301,a1)+~P6(x301,a5)),
% 8.92/9.02 inference(scs_inference,[],[2,17])).
% 8.92/9.02 cnf(31,plain,
% 8.92/9.02 (~P6(x311,a5)+P6(x311,a4)),
% 8.92/9.02 inference(scs_inference,[],[2,17,16])).
% 8.92/9.02 cnf(32,plain,
% 8.92/9.02 (~P6(x321,a3)+~P6(x321,a5)),
% 8.92/9.02 inference(scs_inference,[],[1,2,17,16,15])).
% 8.92/9.02 cnf(38,plain,
% 8.92/9.02 (~P6(x381,a5)+~P6(f10(a5,a7,a6),a5)+~P6(f10(a5,a7,a6),a6)),
% 8.92/9.02 inference(scs_inference,[],[5,1,2,17,16,15,14,9,27])).
% 8.92/9.02 cnf(47,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),a6)+~P6(f10(a5,a7,a6),a5)),
% 8.92/9.02 inference(factoring_inference,[],[38])).
% 8.92/9.02 cnf(48,plain,
% 8.92/9.02 (~P6(x481,x482)+~P3(x483,x482)+P6(x481,x483)),
% 8.92/9.02 inference(scs_inference,[],[6,9])).
% 8.92/9.02 cnf(52,plain,
% 8.92/9.02 (~P6(f9(a3,a3,a3),a2)+~P6(f9(a3,a3,a3),a1)+P6(f9(a3,a3,a3),x521)+~P2(a3,x521,x522)+P6(f9(a3,a3,a3),x522)),
% 8.92/9.02 inference(scs_inference,[],[1,20,29,19])).
% 8.92/9.02 cnf(59,plain,
% 8.92/9.02 (~P6(x591,a3)+~P6(x591,a6)),
% 8.92/9.02 inference(scs_inference,[],[4,17])).
% 8.92/9.02 cnf(70,plain,
% 8.92/9.02 (~P6(x701,a6)+P6(x701,a4)),
% 8.92/9.02 inference(scs_inference,[],[4,16])).
% 8.92/9.02 cnf(77,plain,
% 8.92/9.02 (P6(f9(a3,a3,a3),a4)+~P1(a7,x771,a6)+P6(f10(a5,a7,a6),a5)+~P6(f10(a5,a7,a6),a6)),
% 8.92/9.02 inference(scs_inference,[],[4,5,16,18,52,26,25,15])).
% 8.92/9.02 cnf(79,plain,
% 8.92/9.02 (P6(f9(a3,a3,a3),a4)+~P1(x791,a7,a6)+P6(f10(a5,a7,a6),a5)+~P6(f10(a5,a7,a6),a6)),
% 8.92/9.02 inference(scs_inference,[],[4,5,16,18,52,26,25,15,14])).
% 8.92/9.02 cnf(85,plain,
% 8.92/9.02 (P5(a6,x851)+~P6(f8(a6,x851),a3)),
% 8.92/9.02 inference(scs_inference,[],[59,8])).
% 8.92/9.02 cnf(101,plain,
% 8.92/9.02 (~P6(x1011,a4)+P6(x1011,a2)+P6(x1011,a7)),
% 8.92/9.02 inference(scs_inference,[],[3,19])).
% 8.92/9.02 cnf(105,plain,
% 8.92/9.02 (~P6(x1051,a2)+~P6(x1051,a7)),
% 8.92/9.02 inference(scs_inference,[],[3,17])).
% 8.92/9.02 cnf(108,plain,
% 8.92/9.02 (~P6(x1081,x1082)+P6(x1081,a1)+~P2(a3,x1083,x1082)),
% 8.92/9.02 inference(scs_inference,[],[1,15,14,16])).
% 8.92/9.02 cnf(110,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),a7)+~P6(f10(a5,a7,a6),a6)),
% 8.92/9.02 inference(scs_inference,[],[5,26])).
% 8.92/9.02 cnf(111,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),x1111)+~P2(x1111,a7,a7)+~P6(f10(a5,a7,a6),a6)),
% 8.92/9.02 inference(scs_inference,[],[5,26,19])).
% 8.92/9.02 cnf(112,plain,
% 8.92/9.02 (P6(f10(a5,a7,a6),a6)+P6(f10(a5,a7,a6),a5)+P6(f10(a5,a7,a6),a7)),
% 8.92/9.02 inference(scs_inference,[],[5,25])).
% 8.92/9.02 cnf(114,plain,
% 8.92/9.02 (~P1(a7,x1141,a6)+P6(f10(a5,a7,a6),a5)+P6(f10(a5,a7,a6),a7)),
% 8.92/9.02 inference(scs_inference,[],[5,25,26,15])).
% 8.92/9.02 cnf(116,plain,
% 8.92/9.02 (~P2(a6,a7,a7)+P6(f10(a5,a7,a6),a5)+P6(f10(a5,a7,a6),a7)),
% 8.92/9.02 inference(scs_inference,[],[5,25,26,15,19])).
% 8.92/9.02 cnf(122,plain,
% 8.92/9.02 (P5(a7,x1221)+~P6(f8(a7,x1221),a2)),
% 8.92/9.02 inference(scs_inference,[],[105,8])).
% 8.92/9.02 cnf(123,plain,
% 8.92/9.02 (P6(x1231,a1)+~P6(x1231,a4)+P6(x1231,a5)),
% 8.92/9.02 inference(scs_inference,[],[2,19])).
% 8.92/9.02 cnf(130,plain,
% 8.92/9.02 (~P6(x1301,a7)+P6(x1301,a4)),
% 8.92/9.02 inference(scs_inference,[],[3,16])).
% 8.92/9.02 cnf(135,plain,
% 8.92/9.02 (~P5(x1351,a6)+P3(a6,x1351)+~P6(f8(a6,x1351),a3)),
% 8.92/9.02 inference(scs_inference,[],[85,10])).
% 8.92/9.02 cnf(137,plain,
% 8.92/9.02 (~P6(x1371,a4)+P6(x1371,a3)+P6(x1371,a6)),
% 8.92/9.02 inference(scs_inference,[],[4,19])).
% 8.92/9.02 cnf(138,plain,
% 8.92/9.02 (~P6(x1381,a4)+P6(x1381,a3)+~P2(x1382,a6,a6)),
% 8.92/9.02 inference(scs_inference,[],[4,19,17])).
% 8.92/9.02 cnf(148,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),x1481)+~P4(x1481,x1482,a6)+~P6(f10(a5,a7,a6),a5)),
% 8.92/9.02 inference(scs_inference,[],[47,13])).
% 8.92/9.02 cnf(149,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),x1491)+~P5(x1491,a6)+~P6(f10(a5,a7,a6),a7)),
% 8.92/9.02 inference(scs_inference,[],[110,9])).
% 8.92/9.02 cnf(152,plain,
% 8.92/9.02 (P5(a4,x1521)+P6(f8(a4,x1521),a5)+P6(f8(a4,x1521),a1)),
% 8.92/9.02 inference(scs_inference,[],[123,8])).
% 8.92/9.02 cnf(153,plain,
% 8.92/9.02 (P5(x1531,a6)+P6(f8(x1531,a6),a3)+~P6(f8(x1531,a6),a4)),
% 8.92/9.02 inference(scs_inference,[],[137,11])).
% 8.92/9.02 cnf(156,plain,
% 8.92/9.02 (~P2(a3,x1561,a4)+P6(x1562,a1)+~P6(x1562,a7)),
% 8.92/9.02 inference(scs_inference,[],[108,130])).
% 8.92/9.02 cnf(193,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),x1931)+~P3(a6,x1931)+~P2(a6,a7,a7)),
% 8.92/9.02 inference(scs_inference,[],[111,48])).
% 8.92/9.02 cnf(195,plain,
% 8.92/9.02 (P6(f10(a5,a7,a6),a7)+~P4(a5,x1951,a6)+~P1(a7,x1952,a6)),
% 8.92/9.02 inference(scs_inference,[],[114,148])).
% 8.92/9.02 cnf(196,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),a6)+~P4(a5,x1961,a6)+~P1(a7,x1962,a6)),
% 8.92/9.02 inference(scs_inference,[],[195,110])).
% 8.92/9.02 cnf(207,plain,
% 8.92/9.02 (~P5(x2071,x2072)+P3(x2072,x2071)+~P3(x2071,x2072)),
% 8.92/9.02 inference(scs_inference,[],[6,10])).
% 8.92/9.02 cnf(217,plain,
% 8.92/9.02 (P3(x2171,x2172)+~P3(x2172,x2171)),
% 8.92/9.02 inference(scs_inference,[],[7,207])).
% 8.92/9.02 cnf(226,plain,
% 8.92/9.02 (P5(a1,x2261)+~P6(f8(a1,x2261),a5)),
% 8.92/9.02 inference(scs_inference,[],[30,8])).
% 8.92/9.02 cnf(237,plain,
% 8.92/9.02 (P1(x2371,x2372,a1)+~P6(f9(x2371,x2372,a1),a5)+P6(f9(x2371,x2372,a1),x2372)),
% 8.92/9.02 inference(scs_inference,[],[30,21])).
% 8.92/9.02 cnf(243,plain,
% 8.92/9.02 (P1(x2431,a1,a1)+~P6(f9(x2431,a1,a1),a5)),
% 8.92/9.02 inference(scs_inference,[],[30,237])).
% 8.92/9.02 cnf(257,plain,
% 8.92/9.02 (~P6(x2571,x2572)+~P5(x2572,a5)+~P6(x2571,a1)),
% 8.92/9.02 inference(scs_inference,[],[30,9])).
% 8.92/9.02 cnf(260,plain,
% 8.92/9.02 (~P6(x2601,x2602)+~P1(a5,x2603,x2602)+~P6(x2601,a1)),
% 8.92/9.02 inference(scs_inference,[],[30,15])).
% 8.92/9.02 cnf(263,plain,
% 8.92/9.02 (~P6(x2631,x2632)+~P2(a5,x2633,x2632)+~P6(x2631,a1)),
% 8.92/9.02 inference(scs_inference,[],[30,16])).
% 8.92/9.02 cnf(269,plain,
% 8.92/9.02 (~P6(x2691,a4)+P6(x2691,a1)+~P6(x2691,a1)),
% 8.92/9.02 inference(scs_inference,[],[2,30,19])).
% 8.92/9.02 cnf(271,plain,
% 8.92/9.02 (P6(f10(a5,a7,a6),a6)+P6(f10(a5,a7,a6),a7)+~P6(f10(a5,a7,a6),a1)),
% 8.92/9.02 inference(scs_inference,[],[5,30,25])).
% 8.92/9.02 cnf(272,plain,
% 8.92/9.02 (P6(f10(a5,a7,a6),a6)+~P6(f10(a5,a7,a6),a1)+~P6(f10(a5,a7,a6),a2)),
% 8.92/9.02 inference(scs_inference,[],[271,105])).
% 8.92/9.02 cnf(276,plain,
% 8.92/9.02 (P6(x2761,x2762)+~P6(x2761,x2763)+~P4(x2762,a5,x2763)+~P6(x2761,a1)),
% 8.92/9.02 inference(scs_inference,[],[30,18])).
% 8.92/9.02 cnf(285,plain,
% 8.92/9.02 (~P6(x2851,x2852)+~P6(x2851,x2853)+~P1(x2852,x2853,a5)+~P6(x2851,a1)),
% 8.92/9.02 inference(scs_inference,[],[30,20])).
% 8.92/9.02 cnf(288,plain,
% 8.92/9.02 (P4(x2881,x2882,a5)+P6(f10(x2881,x2882,a5),x2882)+P6(f10(x2881,x2882,a5),x2881)+~P6(f10(x2881,x2882,a5),a1)),
% 8.92/9.02 inference(scs_inference,[],[30,25])).
% 8.92/9.02 cnf(291,plain,
% 8.92/9.02 (P6(f10(x2911,a5,a5),x2911)+P4(x2911,a5,a5)+~P6(f10(x2911,a5,a5),a1)),
% 8.92/9.02 inference(scs_inference,[],[30,288])).
% 8.92/9.02 cnf(304,plain,
% 8.92/9.02 (~P6(x3041,x3042)+~P4(x3043,x3042,a5)+~P6(x3041,a1)),
% 8.92/9.02 inference(scs_inference,[],[30,12])).
% 8.92/9.02 cnf(305,plain,
% 8.92/9.02 (P6(f10(a5,a7,a6),a7)+~P6(f10(a5,a7,a6),a1)+~P4(x3051,a6,a5)),
% 8.92/9.02 inference(scs_inference,[],[304,271])).
% 8.92/9.02 cnf(306,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),a1)+~P6(f10(a5,a7,a6),a2)+~P4(x3061,a6,a5)),
% 8.92/9.02 inference(scs_inference,[],[305,105])).
% 8.92/9.02 cnf(358,plain,
% 8.92/9.02 (P6(x3581,a6)+P6(x3581,a3)+~P6(x3581,a5)),
% 8.92/9.02 inference(scs_inference,[],[31,137])).
% 8.92/9.02 cnf(362,plain,
% 8.92/9.02 (~P5(a4,x3621)+P6(x3622,x3621)+~P6(x3622,a5)),
% 8.92/9.02 inference(scs_inference,[],[31,9])).
% 8.92/9.02 cnf(363,plain,
% 8.92/9.02 (~P2(a3,x3631,x3632)+~P6(x3633,a5)+P6(x3633,a1)+~P5(a4,x3632)),
% 8.92/9.02 inference(scs_inference,[],[362,108])).
% 8.92/9.02 cnf(384,plain,
% 8.92/9.02 (~P6(f8(x3841,a6),a5)+P5(x3841,a6)+P6(f8(x3841,a6),a3)),
% 8.92/9.02 inference(scs_inference,[],[31,153])).
% 8.92/9.02 cnf(433,plain,
% 8.92/9.02 (~P6(x4331,x4332)+~P4(x4332,x4333,a5)+~P6(x4331,a3)),
% 8.92/9.02 inference(scs_inference,[],[32,13])).
% 8.92/9.02 cnf(435,plain,
% 8.92/9.02 (~P6(x4351,x4352)+~P1(x4353,a5,x4352)+~P6(x4351,a3)),
% 8.92/9.02 inference(scs_inference,[],[32,14])).
% 8.92/9.02 cnf(437,plain,
% 8.92/9.02 (~P6(x4371,x4372)+~P1(a5,x4373,x4372)+~P6(x4371,a3)),
% 8.92/9.02 inference(scs_inference,[],[32,15])).
% 8.92/9.02 cnf(445,plain,
% 8.92/9.02 (P5(x4451,a6)+~P6(f8(x4451,a6),a5)),
% 8.92/9.02 inference(scs_inference,[],[32,384])).
% 8.92/9.02 cnf(446,plain,
% 8.92/9.02 (P3(a6,x4461)+~P6(f8(x4461,a6),a5)+~P6(f8(a6,x4461),a3)),
% 8.92/9.02 inference(scs_inference,[],[445,135])).
% 8.92/9.02 cnf(447,plain,
% 8.92/9.02 (P3(x4471,a6)+~P6(f8(a6,x4471),a3)+~P6(f8(x4471,a6),a5)),
% 8.92/9.02 inference(scs_inference,[],[446,217])).
% 8.92/9.02 cnf(448,plain,
% 8.92/9.02 (P6(x4481,x4482)+~P6(x4481,a6)+~P6(f8(x4482,a6),a5)+~P6(f8(a6,x4482),a3)),
% 8.92/9.02 inference(scs_inference,[],[447,48])).
% 8.92/9.02 cnf(449,plain,
% 8.92/9.02 (~P6(x4491,x4492)+~P5(x4492,a3)+~P6(x4491,a5)),
% 8.92/9.02 inference(scs_inference,[],[32,9])).
% 8.92/9.02 cnf(450,plain,
% 8.92/9.02 (P6(f10(a5,a7,a6),a7)+~P2(a6,a7,a7)+~P5(a5,a3)),
% 8.92/9.02 inference(scs_inference,[],[449,116])).
% 8.92/9.02 cnf(472,plain,
% 8.92/9.02 (~P6(x4721,a5)+P6(x4721,a6)),
% 8.92/9.02 inference(scs_inference,[],[32,358])).
% 8.92/9.02 cnf(473,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),a5)),
% 8.92/9.02 inference(scs_inference,[],[472,47])).
% 8.92/9.02 cnf(475,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),a6)+P6(f9(a3,a3,a3),a4)+~P1(a7,x4751,a6)),
% 8.92/9.02 inference(scs_inference,[],[473,77])).
% 8.92/9.02 cnf(476,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),a6)+P6(f9(a3,a3,a3),a4)+~P1(x4761,a7,a6)),
% 8.92/9.02 inference(scs_inference,[],[473,79])).
% 8.92/9.02 cnf(479,plain,
% 8.92/9.02 (P6(f10(a5,a7,a6),a7)+P6(f10(a5,a7,a6),a6)),
% 8.92/9.02 inference(scs_inference,[],[473,112])).
% 8.92/9.02 cnf(487,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),x4871)+~P4(x4871,x4872,a5)),
% 8.92/9.02 inference(scs_inference,[],[473,13])).
% 8.92/9.02 cnf(499,plain,
% 8.92/9.02 (~P4(a7,x4991,a5)+P6(f10(a5,a7,a6),a4)),
% 8.92/9.02 inference(scs_inference,[],[473,4,5,13,25,14,15,19,17,16,70])).
% 8.92/9.02 cnf(504,plain,
% 8.92/9.02 (~P4(a7,x5041,a5)+~P6(f10(a5,a7,a6),a1)+~P4(x5042,a6,a5)),
% 8.92/9.02 inference(scs_inference,[],[473,4,5,13,25,14,15,19,17,16,70,476,475,450,305])).
% 8.92/9.02 cnf(509,plain,
% 8.92/9.02 (~P4(a7,x5091,a5)+~P1(a5,x5092,a4)+~P6(f10(a5,a7,a6),a1)),
% 8.92/9.02 inference(scs_inference,[],[473,4,5,13,25,14,15,19,17,16,70,476,475,450,305,269,263,260])).
% 8.92/9.02 cnf(514,plain,
% 8.92/9.02 (~P4(a7,x5141,a5)+~P6(f10(a5,a7,a6),a1)+~P2(x5142,a6,a6)),
% 8.92/9.02 inference(scs_inference,[],[473,4,5,13,25,14,15,19,17,16,70,476,475,450,305,269,263,260,196,193,138])).
% 8.92/9.02 cnf(518,plain,
% 8.92/9.02 (~P4(a7,x5181,a5)+~P6(f10(a5,a7,a6),a1)+~P2(a6,a7,a7)),
% 8.92/9.02 inference(scs_inference,[],[473,4,5,13,25,14,15,19,17,16,70,476,475,450,305,269,263,260,196,193,138,135,111])).
% 8.92/9.02 cnf(522,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),x5221)+~P4(x5222,x5221,a5)),
% 8.92/9.02 inference(scs_inference,[],[473,12])).
% 8.92/9.02 cnf(580,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),x5801)+~P2(a5,x5802,x5801)),
% 8.92/9.02 inference(scs_inference,[],[473,16])).
% 8.92/9.02 cnf(592,plain,
% 8.92/9.02 (~P2(a5,x5921,a4)+P6(f10(a7,a5,a5),a7)+~P6(f10(a5,a7,a6),a7)),
% 8.92/9.02 inference(scs_inference,[],[473,16,499,291,156,108,448,363,130])).
% 8.92/9.02 cnf(601,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),x6011)+~P4(a5,a5,x6011)),
% 8.92/9.02 inference(scs_inference,[],[473,18])).
% 8.92/9.02 cnf(622,plain,
% 8.92/9.02 (~P4(a5,a5,a6)+~P6(f10(a5,a7,a6),a1)+~P6(f10(a5,a7,a6),a2)),
% 8.92/9.02 inference(scs_inference,[],[5,473,3,18,25,14,15,17,19,16,522,592,437,435,433,272])).
% 8.92/9.02 cnf(627,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),x6271)+~P1(x6272,a5,x6271)),
% 8.92/9.02 inference(scs_inference,[],[473,14])).
% 8.92/9.02 cnf(652,plain,
% 8.92/9.02 (P6(f10(a5,a7,a6),a1)+~P6(f10(a5,a7,a6),a4)),
% 8.92/9.02 inference(scs_inference,[],[473,2,19])).
% 8.92/9.02 cnf(665,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),a4)+~P5(a1,a5)),
% 8.92/9.02 inference(scs_inference,[],[473,2,19,16,601,622,518,514,509,504,306,304,257])).
% 8.92/9.02 cnf(676,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),x6761)+~P2(x6761,a5,a5)),
% 8.92/9.02 inference(scs_inference,[],[473,19])).
% 8.92/9.02 cnf(717,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),x7171)+~P3(a5,x7171)),
% 8.92/9.02 inference(scs_inference,[],[473,48])).
% 8.92/9.02 cnf(723,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),x7231)+~P5(x7231,a5)),
% 8.92/9.02 inference(scs_inference,[],[473,9])).
% 8.92/9.02 cnf(724,plain,
% 8.92/9.02 (~P5(a7,a5)+P6(f10(a5,a7,a6),a6)),
% 8.92/9.02 inference(scs_inference,[],[473,5,9,25])).
% 8.92/9.02 cnf(742,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),x7421)+~P1(a5,x7422,x7421)),
% 8.92/9.02 inference(scs_inference,[],[473,15])).
% 8.92/9.02 cnf(774,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),x7741)+~P6(f10(a5,a7,a6),x7742)+~P1(x7741,x7742,a5)),
% 8.92/9.02 inference(scs_inference,[],[473,20])).
% 8.92/9.02 cnf(775,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),x7751)+~P1(a7,x7751,a5)+P6(f10(a5,a7,a6),a6)),
% 8.92/9.02 inference(scs_inference,[],[473,5,20,25])).
% 8.92/9.02 cnf(1071,plain,
% 8.92/9.02 (P5(a3,x10711)+~P6(f8(a3,x10711),a6)),
% 8.92/9.02 inference(scs_inference,[],[59,8])).
% 8.92/9.02 cnf(1072,plain,
% 8.92/9.02 (~P6(f10(a5,a7,a6),a3)+~P6(f8(a3,a5),a6)),
% 8.92/9.02 inference(scs_inference,[],[1071,723])).
% 8.92/9.02 cnf(1073,plain,
% 8.92/9.02 (P6(f10(a5,a7,a6),a6)+~P6(f10(a5,a7,a6),a4)+~P6(f8(a3,a5),a6)),
% 8.92/9.02 inference(scs_inference,[],[1072,137])).
% 8.92/9.02 cnf(1111,plain,
% 8.92/9.02 (~P6(x11111,a2)+~P6(x11111,a1)+~P6(x11111,a6)),
% 8.92/9.02 inference(scs_inference,[],[1,59,20])).
% 8.92/9.02 cnf(1181,plain,
% 8.92/9.02 (P6(f10(a5,a7,a6),a7)+P6(f10(a5,a7,a6),a4)),
% 8.92/9.02 inference(scs_inference,[],[70,479])).
% 8.92/9.02 cnf(1182,plain,
% 8.92/9.02 (P6(f10(a5,a7,a6),a4)),
% 8.92/9.02 inference(scs_inference,[],[1181,130])).
% 8.92/9.02 cnf(1188,plain,
% 8.92/9.02 (P6(f10(a5,a7,a6),a1)),
% 8.92/9.02 inference(scs_inference,[],[1182,652])).
% 8.92/9.03 cnf(1197,plain,
% 8.92/9.03 (~P5(a1,a5)),
% 8.92/9.03 inference(scs_inference,[],[1182,665])).
% 8.92/9.03 cnf(1215,plain,
% 8.92/9.03 (P6(f10(a5,a7,a6),a6)+~P6(f8(a3,a5),a6)),
% 8.92/9.03 inference(scs_inference,[],[1182,1073])).
% 8.92/9.03 cnf(1233,plain,
% 8.92/9.03 (~P5(a4,a5)),
% 8.92/9.03 inference(scs_inference,[],[1182,473,742,717,487,601,20,9])).
% 8.92/9.03 cnf(1245,plain,
% 8.92/9.03 (~P6(f8(a4,a5),a5)),
% 8.92/9.03 inference(scs_inference,[],[1182,473,742,717,487,601,20,9,14,17,16,676,217,11])).
% 8.92/9.03 cnf(1345,plain,
% 8.92/9.03 (P6(f10(a5,a7,a6),a6)+~P6(f10(a5,a7,a6),a2)),
% 8.92/9.03 inference(scs_inference,[],[1188,272])).
% 8.92/9.03 cnf(1369,plain,
% 8.92/9.03 (P6(f8(a4,a5),a1)),
% 8.92/9.03 inference(scs_inference,[],[1188,1233,1245,1197,226,627,152])).
% 8.92/9.03 cnf(1373,plain,
% 8.92/9.03 (~P1(a5,x13731,a1)),
% 8.92/9.03 inference(scs_inference,[],[1188,1233,1245,1197,1182,226,627,152,304,260])).
% 8.92/9.03 cnf(1397,plain,
% 8.92/9.03 (~P6(f10(a5,a7,a6),a6)),
% 8.92/9.03 inference(scs_inference,[],[5,1188,1233,1245,1197,1182,473,226,627,152,304,260,13,48,17,1111,101,7,774,263,149,285,18,26])).
% 8.92/9.03 cnf(1400,plain,
% 8.92/9.03 (P6(f10(a5,a7,a6),a7)),
% 8.92/9.03 inference(scs_inference,[],[1397,479])).
% 8.92/9.03 cnf(1402,plain,
% 8.92/9.03 (~P5(a7,a5)),
% 8.92/9.03 inference(scs_inference,[],[1397,724])).
% 8.92/9.03 cnf(1403,plain,
% 8.92/9.03 (~P6(f10(a5,a7,a6),x14031)+~P1(a7,x14031,a5)),
% 8.92/9.03 inference(scs_inference,[],[1397,775])).
% 8.92/9.03 cnf(1410,plain,
% 8.92/9.03 (~P6(f8(a3,a5),a6)),
% 8.92/9.03 inference(scs_inference,[],[1397,1215])).
% 8.92/9.03 cnf(1416,plain,
% 8.92/9.03 (~P6(f10(a5,a7,a6),a2)),
% 8.92/9.03 inference(scs_inference,[],[1397,1345])).
% 8.92/9.03 cnf(1425,plain,
% 8.92/9.03 (~P6(f9(a5,a1,a1),a5)),
% 8.92/9.03 inference(scs_inference,[],[1397,1369,1373,1188,276,285,19,1403,243])).
% 8.92/9.03 cnf(1495,plain,
% 8.92/9.03 (~P6(f10(a5,a7,a6),a3)),
% 8.92/9.03 inference(scs_inference,[],[1,473,1400,1402,1416,1425,1410,1373,1188,122,22,472,580,276,20,48,15,14])).
% 8.92/9.03 cnf(1570,plain,
% 8.92/9.03 ($false),
% 8.92/9.03 inference(scs_inference,[],[1182,1495,1397,138,137]),
% 8.92/9.03 ['proof']).
% 8.92/9.03 % SZS output end Proof
% 8.92/9.03 % Total time :8.280000s
%------------------------------------------------------------------------------