%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD022-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% Computer : n011.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 : Mon Jun 24 05:55:15 EDT 2024
% Result : Unsatisfiable 58.66s 58.78s
% Output : CNFRefutation 58.66s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : FLD022-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.00/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.12/0.33 % Computer : n011.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 11:40:39 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.18/0.52 start to proof:theBenchmark
% 58.66/58.77 %-------------------------------------------
% 58.66/58.77 % File :CSE---1.7
% 58.66/58.77 % Problem :theBenchmark
% 58.66/58.77 % Transform :cnf
% 58.66/58.77 % Format :tptp:raw
% 58.66/58.77 % Command :java -jar mcs_scs.jar %d %s
% 58.66/58.77
% 58.66/58.77 % Result :Theorem 58.160000s
% 58.66/58.77 % Output :CNFRefutation 58.160000s
% 58.66/58.77 %-------------------------------------------
% 58.66/58.78 %--------------------------------------------------------------------------
% 58.66/58.78 % File : FLD022-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 58.66/58.78 % Domain : Field Theory (Ordered fields)
% 58.66/58.78 % Problem : Elimination of a summation in an equation
% 58.66/58.78 % Version : [Dra93] axioms : Especial.
% 58.66/58.78 % Theorem formulation : Functional with re axiom set.
% 58.66/58.78 % English :
% 58.66/58.78
% 58.66/58.78 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 58.66/58.78 % Source : [Dra93]
% 58.66/58.78 % Names :
% 58.66/58.78
% 58.66/58.78 % Status : Unsatisfiable
% 58.66/58.78 % Rating : 0.00 v7.5.0, 0.17 v7.4.0, 0.00 v7.1.0, 0.17 v7.0.0, 0.12 v6.3.0, 0.14 v6.2.0, 0.11 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, 0.14 v4.1.0, 0.00 v4.0.1, 0.20 v4.0.0, 0.14 v3.4.0, 0.25 v3.3.0, 0.33 v3.1.0, 0.17 v2.7.0, 0.00 v2.6.0, 0.33 v2.5.0, 0.20 v2.3.0, 0.33 v2.2.1, 0.67 v2.1.0
% 58.66/58.78 % Syntax : Number of clauses : 33 ( 10 unt; 3 nHn; 33 RR)
% 58.66/58.78 % Number of literals : 84 ( 0 equ; 50 neg)
% 58.66/58.78 % Maximal clause size : 5 ( 2 avg)
% 58.66/58.78 % Maximal term depth : 2 ( 1 avg)
% 58.66/58.78 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 58.66/58.78 % Number of functors : 10 ( 10 usr; 6 con; 0-2 aty)
% 58.66/58.78 % Number of variables : 73 ( 0 sgn)
% 58.66/58.78 % SPC : CNF_UNS_RFO_NEQ_NHN
% 58.66/58.78
% 58.66/58.78 % Comments :
% 58.66/58.78 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 58.66/58.78 %--------------------------------------------------------------------------
% 58.66/58.78 include('Axioms/FLD002-0.ax').
% 58.66/58.78 %--------------------------------------------------------------------------
% 58.66/58.78 cnf(a_is_defined,hypothesis,
% 58.66/58.78 defined(a) ).
% 58.66/58.78
% 58.66/58.78 cnf(b_is_defined,hypothesis,
% 58.66/58.78 defined(b) ).
% 58.66/58.78
% 58.66/58.78 cnf(c_is_defined,hypothesis,
% 58.66/58.78 defined(c) ).
% 58.66/58.78
% 58.66/58.78 cnf(u_is_defined,hypothesis,
% 58.66/58.78 defined(u) ).
% 58.66/58.78
% 58.66/58.78 cnf(sum_5,negated_conjecture,
% 58.66/58.78 sum(a,c,u) ).
% 58.66/58.78
% 58.66/58.78 cnf(sum_6,negated_conjecture,
% 58.66/58.78 sum(b,c,u) ).
% 58.66/58.78
% 58.66/58.78 cnf(not_sum_7,negated_conjecture,
% 58.66/58.78 ~ sum(additive_identity,a,b) ).
% 58.66/58.78
% 58.66/58.78 %--------------------------------------------------------------------------
% 58.66/58.78 %-------------------------------------------
% 58.66/58.78 % Proof found
% 58.66/58.78 % SZS status Theorem for theBenchmark
% 58.66/58.78 % SZS output start Proof
% 58.66/58.79 %ClaNum:33(EqnAxiom:0)
% 58.66/58.79 %VarNum:162(SingletonVarNum:73)
% 58.66/58.79 %MaxLitNum:5
% 58.66/58.79 %MaxfuncDepth:1
% 58.66/58.79 %SharedTerms:16
% 58.66/58.79 %goalClause: 7 8 10
% 58.66/58.79 %singleGoalClaCount:3
% 58.66/58.79 [1]P1(a1)
% 58.66/58.79 [2]P1(a4)
% 58.66/58.79 [3]P1(a2)
% 58.66/58.79 [4]P1(a5)
% 58.66/58.79 [5]P1(a7)
% 58.66/58.79 [6]P1(a8)
% 58.66/58.79 [7]P2(a2,a7,a8)
% 58.66/58.79 [8]P2(a5,a7,a8)
% 58.66/58.79 [9]~P2(a1,a1,a4)
% 58.66/58.79 [10]~P2(a1,a2,a5)
% 58.66/58.79 [16]~P1(x161)+P2(a1,x161,x161)
% 58.66/58.79 [17]~P1(x171)+P4(a4,x171,x171)
% 58.66/58.79 [11]~P1(x111)+P1(f6(x111))
% 58.66/58.79 [18]~P1(x181)+P2(f6(x181),x181,a1)
% 58.66/58.79 [25]~P2(x252,x251,x253)+P2(x251,x252,x253)
% 58.66/58.79 [26]~P4(x262,x261,x263)+P4(x261,x262,x263)
% 58.66/58.79 [19]~P1(x191)+P2(a1,x191,a1)+P1(f10(x191))
% 58.66/58.79 [23]~P1(x231)+P4(f10(x231),x231,a4)+P2(a1,x231,a1)
% 58.66/58.79 [22]~P3(x222,x221)+~P3(x221,x222)+P2(a1,x221,x222)
% 58.66/58.79 [13]~P1(x132)+~P1(x131)+P1(f3(x131,x132))
% 58.66/58.79 [14]~P1(x142)+~P1(x141)+P1(f9(x141,x142))
% 58.66/58.79 [20]~P1(x202)+~P1(x201)+P2(x201,x202,f3(x201,x202))
% 58.66/58.79 [21]~P1(x212)+~P1(x211)+P4(x211,x212,f9(x211,x212))
% 58.66/58.79 [15]~P3(x151,x153)+P3(x151,x152)+~P3(x153,x152)
% 58.66/58.79 [12]P3(x122,x121)+~P1(x121)+~P1(x122)+P3(x121,x122)
% 58.66/58.79 [24]~P4(x243,x242,x241)+P3(a1,x241)+~P3(a1,x242)+~P3(a1,x243)
% 58.66/58.79 [27]~P2(x273,x275,x271)+P3(x271,x272)+~P2(x274,x275,x272)+~P3(x273,x274)
% 58.66/58.79 [28]~P2(x281,x286,x284)+P2(x281,x282,x283)+~P2(x284,x285,x283)+~P2(x286,x285,x282)
% 58.66/58.79 [29]~P2(x296,x294,x291)+P2(x291,x292,x293)+~P2(x294,x292,x295)+~P2(x296,x295,x293)
% 58.66/58.79 [30]~P4(x301,x306,x304)+P4(x301,x302,x303)+~P4(x304,x305,x303)+~P4(x306,x305,x302)
% 58.66/58.79 [31]~P4(x316,x314,x311)+P4(x311,x312,x313)+~P4(x314,x312,x315)+~P4(x316,x315,x313)
% 58.66/58.79 [32]~P4(x325,x327,x322)+~P4(x324,x327,x321)+P2(x321,x322,x323)+~P2(x324,x325,x326)+~P4(x326,x327,x323)
% 58.66/58.79 [33]~P4(x337,x332,x335)+~P4(x336,x332,x334)+P4(x331,x332,x333)+~P2(x334,x335,x333)+~P2(x336,x337,x331)
% 58.66/58.79 %EqnAxiom
% 58.66/58.79
% 58.66/58.79 %-------------------------------------------
% 58.66/58.80 cnf(34,plain,
% 58.66/58.80 (~P2(a2,a1,a5)),
% 58.66/58.80 inference(scs_inference,[],[10,25])).
% 58.66/58.80 cnf(36,plain,
% 58.66/58.80 (P3(a1,a1)),
% 58.66/58.80 inference(scs_inference,[],[10,1,25,12])).
% 58.66/58.80 cnf(41,plain,
% 58.66/58.80 (P3(a4,a4)),
% 58.66/58.80 inference(scs_inference,[],[2,12])).
% 58.66/58.80 cnf(48,plain,
% 58.66/58.80 (P3(a2,a2)),
% 58.66/58.80 inference(scs_inference,[],[3,12])).
% 58.66/58.80 cnf(50,plain,
% 58.66/58.80 (P3(a8,a8)),
% 58.66/58.80 inference(scs_inference,[],[7,3,12,27])).
% 58.66/58.80 cnf(52,plain,
% 58.66/58.80 (P2(a8,x521,a8)+~P2(a7,x521,a7)),
% 58.66/58.80 inference(scs_inference,[],[7,3,12,27,29])).
% 58.66/58.80 cnf(55,plain,
% 58.66/58.80 (P3(a5,a5)),
% 58.66/58.80 inference(scs_inference,[],[4,12])).
% 58.66/58.80 cnf(57,plain,
% 58.66/58.80 (~P2(x571,a2,a2)+P2(x571,a8,a8)),
% 58.66/58.80 inference(scs_inference,[],[7,4,12,28])).
% 58.66/58.80 cnf(69,plain,
% 58.66/58.80 (~P4(a7,x691,a7)+~P4(a2,x691,a2)+P4(a8,x691,a8)),
% 58.66/58.80 inference(scs_inference,[],[7,50,33])).
% 58.66/58.80 cnf(235,plain,
% 58.66/58.80 (~P2(x2351,a7,a7)+P2(a8,x2351,a8)),
% 58.66/58.80 inference(scs_inference,[],[52,25])).
% 58.66/58.80 cnf(251,plain,
% 58.66/58.80 (P2(a8,x2511,a8)+~P2(x2511,a2,a2)),
% 58.66/58.80 inference(scs_inference,[],[57,25])).
% 58.66/58.80 cnf(315,plain,
% 58.66/58.80 (P2(x3151,a8,a8)+~P2(x3151,a7,a7)),
% 58.66/58.80 inference(scs_inference,[],[235,25])).
% 58.66/58.80 cnf(331,plain,
% 58.66/58.80 (P2(a8,a1,a8)),
% 58.66/58.80 inference(scs_inference,[],[3,251,16])).
% 58.66/58.80 cnf(389,plain,
% 58.66/58.80 (P2(a1,a8,a8)),
% 58.66/58.80 inference(scs_inference,[],[5,315,16])).
% 58.66/58.80 cnf(816,plain,
% 58.66/58.80 (~P4(x8161,a2,a2)+P4(a8,x8161,a8)+~P4(a7,x8161,a7)),
% 58.66/58.80 inference(scs_inference,[],[69,26])).
% 58.66/58.80 cnf(911,plain,
% 58.66/58.80 (P4(x9111,a8,a8)+~P4(a7,x9111,a7)+~P4(x9111,a2,a2)),
% 58.66/58.80 inference(scs_inference,[],[816,26])).
% 58.66/58.80 cnf(991,plain,
% 58.66/58.80 (~P4(x9911,a7,a7)+~P4(x9911,a2,a2)+P4(x9911,a8,a8)),
% 58.66/58.80 inference(scs_inference,[],[911,26])).
% 58.66/58.80 cnf(1071,plain,
% 58.66/58.80 (P4(a4,a8,a8)+~P4(a4,a7,a7)),
% 58.66/58.80 inference(scs_inference,[],[3,991,17])).
% 58.66/58.80 cnf(1087,plain,
% 58.66/58.80 (P4(a8,a4,a8)+~P4(a4,a7,a7)),
% 58.66/58.80 inference(scs_inference,[],[1071,26])).
% 58.66/58.80 cnf(1103,plain,
% 58.66/58.80 (P4(a8,x11031,a8)+~P4(a4,x11031,a4)+~P4(a4,a7,a7)),
% 58.66/58.80 inference(scs_inference,[],[1087,31])).
% 58.66/58.80 cnf(1282,plain,
% 58.66/58.80 (~P4(a4,x12821,a4)+P4(a8,x12821,a8)),
% 58.66/58.80 inference(scs_inference,[],[5,1103,17])).
% 58.66/58.80 cnf(1298,plain,
% 58.66/58.80 (P4(x12981,a8,a8)+~P4(a4,x12981,a4)),
% 58.66/58.80 inference(scs_inference,[],[1282,26])).
% 58.66/58.80 cnf(1314,plain,
% 58.66/58.80 (P4(a4,a8,a8)),
% 58.66/58.80 inference(scs_inference,[],[2,1298,17])).
% 58.66/58.80 cnf(1318,plain,
% 58.66/58.80 (~P4(x13181,a4,a4)+P4(x13181,a8,a8)),
% 58.66/58.80 inference(scs_inference,[],[1314,30])).
% 58.66/58.80 cnf(1351,plain,
% 58.66/58.80 (P4(a8,x13511,a8)+~P4(x13511,a4,a4)),
% 58.66/58.80 inference(scs_inference,[],[1318,26])).
% 58.66/58.80 cnf(1382,plain,
% 58.66/58.80 (P4(a8,a4,a8)),
% 58.66/58.80 inference(scs_inference,[],[2,1351,17])).
% 58.66/58.80 cnf(1695,plain,
% 58.66/58.80 (P2(a1,f6(a1),f6(a1))),
% 58.66/58.80 inference(scs_inference,[],[1,11,16])).
% 58.66/58.80 cnf(2018,plain,
% 58.66/58.80 (P2(a1,a1,a1)),
% 58.66/58.80 inference(scs_inference,[],[1,16,28])).
% 58.66/58.80 cnf(2021,plain,
% 58.66/58.80 (~P2(a8,a1,a2)+~P2(a8,a1,a5)),
% 58.66/58.80 inference(scs_inference,[],[34,331,2018,28,29])).
% 58.66/58.80 cnf(2056,plain,
% 58.66/58.80 (~P2(a1,a8,a5)+~P2(a8,a1,a2)),
% 58.66/58.80 inference(scs_inference,[],[2021,25])).
% 58.66/58.80 cnf(2108,plain,
% 58.66/58.80 (~P2(a1,a2,x21081)+~P2(x21081,a7,a5)+~P2(a8,a1,a2)),
% 58.66/58.80 inference(scs_inference,[],[7,2056,28])).
% 58.66/58.80 cnf(2838,plain,
% 58.66/58.80 (P4(a1,a4,a1)),
% 58.66/58.80 inference(scs_inference,[],[1,17,26])).
% 58.66/58.80 cnf(3069,plain,
% 58.66/58.80 (~P2(a4,a4,x30691)+P4(x30691,a1,a1)),
% 58.66/58.80 inference(scs_inference,[],[1,2018,17,33])).
% 58.66/58.80 cnf(3085,plain,
% 58.66/58.80 (P4(a1,x30851,a1)+~P2(a4,a4,x30851)),
% 58.66/58.80 inference(scs_inference,[],[3069,26])).
% 58.66/58.80 cnf(3101,plain,
% 58.66/58.80 (P4(a1,f3(a4,a4),a1)),
% 58.66/58.80 inference(scs_inference,[],[2,3085,20])).
% 58.66/58.80 cnf(3102,plain,
% 58.66/58.80 (P4(a1,x31021,a1)+~P4(f3(a4,a4),x31021,f3(a4,a4))),
% 58.66/58.80 inference(scs_inference,[],[3101,31])).
% 58.66/58.80 cnf(3166,plain,
% 58.66/58.80 (P4(a4,f9(a1,a1),f9(a1,a1))),
% 58.66/58.80 inference(scs_inference,[],[1,17,14])).
% 58.66/58.80 cnf(3577,plain,
% 58.66/58.80 (~P2(a7,x35771,a1)+~P2(a8,x35771,a5)),
% 58.66/58.80 inference(scs_inference,[],[7,34,28])).
% 58.66/58.80 cnf(3596,plain,
% 58.66/58.80 (~P2(a8,x35961,a1)+~P2(a8,x35961,a4)),
% 58.66/58.80 inference(scs_inference,[],[389,9,28])).
% 58.66/58.80 cnf(3637,plain,
% 58.66/58.80 (P2(a7,a2,a8)),
% 58.66/58.80 inference(scs_inference,[],[7,25])).
% 58.66/58.80 cnf(3699,plain,
% 58.66/58.80 (P4(a4,a1,a1)),
% 58.66/58.80 inference(scs_inference,[],[2838,26])).
% 58.66/58.80 cnf(3704,plain,
% 58.66/58.80 (P4(f3(a4,a4),a1,a1)),
% 58.66/58.80 inference(scs_inference,[],[3101,26])).
% 58.66/58.80 cnf(3706,plain,
% 58.66/58.80 (~P4(x37061,f3(a4,a4),f3(a4,a4))+P4(x37061,a1,a1)),
% 58.66/58.80 inference(scs_inference,[],[3101,26,30])).
% 58.66/58.80 cnf(3870,plain,
% 58.66/58.80 (~P2(a1,x38701,a2)+~P2(a1,x38701,a5)),
% 58.66/58.80 inference(scs_inference,[],[10,2018,28])).
% 58.66/58.80 cnf(3888,plain,
% 58.66/58.80 (~P2(a1,a5,a2)),
% 58.66/58.80 inference(scs_inference,[],[4,3870,16])).
% 58.66/58.80 cnf(3889,plain,
% 58.66/58.80 (~P2(a1,x38891,a2)+~P2(a1,a5,x38891)),
% 58.66/58.80 inference(scs_inference,[],[2018,3888,29])).
% 58.66/58.80 cnf(3906,plain,
% 58.66/58.80 (~P2(a1,f3(a1,a5),a2)),
% 58.66/58.80 inference(scs_inference,[],[4,1,3889,20])).
% 58.66/58.80 cnf(4415,plain,
% 58.66/58.80 (~P4(f3(a4,a4),x44151,f3(a4,a4))+P4(x44151,a1,a1)),
% 58.66/58.80 inference(scs_inference,[],[3706,26])).
% 58.66/58.80 cnf(7330,plain,
% 58.66/58.80 (~P2(a5,a1,a2)),
% 58.66/58.80 inference(scs_inference,[],[3888,25])).
% 58.66/58.80 cnf(7334,plain,
% 58.66/58.80 (~P2(f3(a1,a5),a1,a2)),
% 58.66/58.80 inference(scs_inference,[],[3906,25])).
% 58.66/58.80 cnf(7378,plain,
% 58.66/58.80 (~P2(a7,x73781,a1)+~P2(a8,x73781,a2)),
% 58.66/58.80 inference(scs_inference,[],[8,7330,28])).
% 58.66/58.80 cnf(8652,plain,
% 58.66/58.80 (P1(f6(a8))),
% 58.66/58.80 inference(scs_inference,[],[6,11])).
% 58.66/58.80 cnf(8656,plain,
% 58.66/58.80 (P4(a4,a7,a7)),
% 58.66/58.80 inference(scs_inference,[],[6,5,11,18,17])).
% 58.66/58.80 cnf(8658,plain,
% 58.66/58.80 (P2(a1,a7,a7)),
% 58.66/58.80 inference(scs_inference,[],[6,5,11,18,17,16])).
% 58.66/58.80 cnf(8660,plain,
% 58.66/58.80 (P2(a8,f6(a8),a1)),
% 58.66/58.80 inference(scs_inference,[],[6,5,11,18,17,16,25])).
% 58.66/58.80 cnf(8662,plain,
% 58.66/58.80 (P4(a7,a4,a7)),
% 58.66/58.80 inference(scs_inference,[],[6,5,11,18,17,16,25,26])).
% 58.66/58.80 cnf(8664,plain,
% 58.66/58.80 (P1(f3(a8,a8))),
% 58.66/58.80 inference(scs_inference,[],[6,5,11,18,17,16,25,26,13])).
% 58.66/58.80 cnf(8666,plain,
% 58.66/58.80 (P1(f9(a8,a8))),
% 58.66/58.80 inference(scs_inference,[],[6,5,11,18,17,16,25,26,13,14])).
% 58.66/58.80 cnf(8672,plain,
% 58.66/58.80 (P2(a1,a5,a5)),
% 58.66/58.80 inference(scs_inference,[],[55,6,5,11,18,17,16,25,26,13,14,21,20,22])).
% 58.66/58.80 cnf(8674,plain,
% 58.66/58.80 (P4(f9(a8,a8),a4,f9(a8,a8))),
% 58.66/58.80 inference(scs_inference,[],[55,6,5,1382,11,18,17,16,25,26,13,14,21,20,22,31])).
% 58.66/58.80 cnf(8676,plain,
% 58.66/58.80 (P2(a1,f3(a8,a8),f3(a8,a8))),
% 58.66/58.80 inference(scs_inference,[],[55,6,5,389,1382,11,18,17,16,25,26,13,14,21,20,22,31,28])).
% 58.66/58.80 cnf(8682,plain,
% 58.66/58.80 (~P4(a1,f3(a4,a4),a4)),
% 58.66/58.80 inference(scs_inference,[],[55,6,9,5,3101,2018,331,389,50,1382,11,18,17,16,25,26,13,14,21,20,22,31,28,29,27,32])).
% 58.66/58.80 cnf(8684,plain,
% 58.66/58.80 (~P2(a8,f6(a8),a4)),
% 58.66/58.80 inference(scs_inference,[],[55,6,9,5,3101,2018,331,389,50,1382,11,18,17,16,25,26,13,14,21,20,22,31,28,29,27,32,3596])).
% 58.66/58.80 cnf(8688,plain,
% 58.66/58.80 (P4(f3(a8,a8),a4,f3(a8,a8))),
% 58.66/58.80 inference(scs_inference,[],[55,6,9,5,3101,2018,331,389,50,1382,11,18,17,16,25,26,13,14,21,20,22,31,28,29,27,32,3596,19,33])).
% 58.66/58.80 cnf(8693,plain,
% 58.66/58.80 (P1(f6(a7))),
% 58.66/58.80 inference(scs_inference,[],[8664,5,17,11])).
% 58.66/58.80 cnf(8695,plain,
% 58.66/58.80 (P2(f6(a7),a7,a1)),
% 58.66/58.80 inference(scs_inference,[],[8664,5,17,11,18])).
% 58.66/58.80 cnf(8697,plain,
% 58.66/58.80 (P2(a1,f9(a8,a8),f9(a8,a8))),
% 58.66/58.80 inference(scs_inference,[],[8664,8666,5,17,11,18,16])).
% 58.66/58.80 cnf(8699,plain,
% 58.66/58.80 (P4(a4,f9(a8,a8),f9(a8,a8))),
% 58.66/58.80 inference(scs_inference,[],[8664,8666,8674,5,17,11,18,16,26])).
% 58.66/58.80 cnf(8703,plain,
% 58.66/58.80 (P1(f3(a7,a7))),
% 58.66/58.80 inference(scs_inference,[],[8658,8664,8666,8674,5,17,11,18,16,26,25,13])).
% 58.66/58.80 cnf(8705,plain,
% 58.66/58.80 (P1(f9(a7,a7))),
% 58.66/58.80 inference(scs_inference,[],[8658,8664,8666,8674,5,17,11,18,16,26,25,13,14])).
% 58.66/58.80 cnf(8711,plain,
% 58.66/58.80 (P2(a1,a2,a2)),
% 58.66/58.80 inference(scs_inference,[],[8658,8664,8666,8674,48,5,17,11,18,16,26,25,13,14,21,20,22])).
% 58.66/58.80 cnf(8713,plain,
% 58.66/58.80 (~P4(f3(a4,a4),a1,a4)),
% 58.66/58.80 inference(scs_inference,[],[8658,8664,8666,8674,8682,48,3704,5,3101,17,11,18,16,26,25,13,14,21,20,22,31])).
% 58.66/58.80 cnf(8725,plain,
% 58.66/58.80 (P4(a4,f9(a7,a7),f9(a7,a7))),
% 58.66/58.80 inference(scs_inference,[],[8656,8658,8662,8664,8666,8674,8682,48,3704,5,10,3101,36,3637,17,11,18,16,26,25,13,14,21,20,22,31,28,29,27,33,2108,30])).
% 58.66/58.80 cnf(8729,plain,
% 58.66/58.80 (P2(f6(a4),a4,a1)),
% 58.66/58.80 inference(scs_inference,[],[2,18])).
% 58.66/58.80 cnf(8731,plain,
% 58.66/58.80 (P4(a4,f3(a7,a7),f3(a7,a7))),
% 58.66/58.80 inference(scs_inference,[],[8703,2,18,17])).
% 58.66/58.80 cnf(8733,plain,
% 58.66/58.80 (P1(f6(a4))),
% 58.66/58.80 inference(scs_inference,[],[8703,2,18,17,11])).
% 58.66/58.80 cnf(8737,plain,
% 58.66/58.80 (P2(a2,a1,a2)),
% 58.66/58.80 inference(scs_inference,[],[8711,8703,8652,2,18,17,11,16,25])).
% 58.66/58.80 cnf(8739,plain,
% 58.66/58.80 (P4(f9(a7,a7),a4,f9(a7,a7))),
% 58.66/58.80 inference(scs_inference,[],[8711,8703,8725,8652,2,18,17,11,16,25,26])).
% 58.66/58.80 cnf(8741,plain,
% 58.66/58.80 (P1(f3(a4,a4))),
% 58.66/58.80 inference(scs_inference,[],[8711,8703,8725,8652,2,18,17,11,16,25,26,13])).
% 58.66/58.80 cnf(8743,plain,
% 58.66/58.80 (P1(f9(a4,a4))),
% 58.66/58.80 inference(scs_inference,[],[8711,8703,8725,8652,2,18,17,11,16,25,26,13,14])).
% 58.66/58.80 cnf(8745,plain,
% 58.66/58.80 (P4(a4,a4,f9(a4,a4))),
% 58.66/58.80 inference(scs_inference,[],[8711,8703,8725,8652,2,18,17,11,16,25,26,13,14,21])).
% 58.66/58.80 cnf(8747,plain,
% 58.66/58.80 (P2(a4,a4,f3(a4,a4))),
% 58.66/58.80 inference(scs_inference,[],[8711,8703,8725,8652,2,18,17,11,16,25,26,13,14,21,20])).
% 58.66/58.80 cnf(8749,plain,
% 58.66/58.80 (P2(a1,a4,a4)),
% 58.66/58.80 inference(scs_inference,[],[8711,8703,8725,8652,2,41,18,17,11,16,25,26,13,14,21,20,22])).
% 58.66/58.80 cnf(8751,plain,
% 58.66/58.80 (P2(a1,f3(a4,a4),f3(a4,a4))),
% 58.66/58.80 inference(scs_inference,[],[8711,8703,8725,8652,2,41,18,17,11,16,25,26,13,14,21,20,22,28])).
% 58.66/58.80 cnf(8753,plain,
% 58.66/58.80 (P4(f3(a8,a8),f9(a4,a4),f3(a8,a8))),
% 58.66/58.80 inference(scs_inference,[],[8711,8688,8703,8725,8652,2,41,18,17,11,16,25,26,13,14,21,20,22,28,30])).
% 58.66/58.80 cnf(8759,plain,
% 58.66/58.80 (P1(f6(a2))),
% 58.66/58.80 inference(scs_inference,[],[3,11])).
% 58.66/58.80 cnf(8761,plain,
% 58.66/58.80 (P2(f6(a2),a2,a1)),
% 58.66/58.80 inference(scs_inference,[],[3,11,18])).
% 58.66/58.80 cnf(8763,plain,
% 58.66/58.80 (P4(a4,f3(a4,a4),f3(a4,a4))),
% 58.66/58.80 inference(scs_inference,[],[8741,3,11,18,17])).
% 58.66/58.80 cnf(8769,plain,
% 58.66/58.80 (P2(a4,a1,a4)),
% 58.66/58.80 inference(scs_inference,[],[8749,8741,8753,8693,3,11,18,17,16,26,25])).
% 58.66/58.80 cnf(8771,plain,
% 58.66/58.80 (P1(f3(a2,a2))),
% 58.66/58.80 inference(scs_inference,[],[8749,8741,8753,8693,3,11,18,17,16,26,25,13])).
% 58.66/58.80 cnf(8773,plain,
% 58.66/58.80 (P1(f9(a2,a2))),
% 58.66/58.80 inference(scs_inference,[],[8749,8741,8753,8693,3,11,18,17,16,26,25,13,14])).
% 58.66/58.80 cnf(8775,plain,
% 58.66/58.80 (P2(a2,a2,f3(a2,a2))),
% 58.66/58.80 inference(scs_inference,[],[8749,8741,8753,8693,3,11,18,17,16,26,25,13,14,20])).
% 58.66/58.80 cnf(8779,plain,
% 58.66/58.80 (~P4(a4,a1,a4)),
% 58.66/58.80 inference(scs_inference,[],[8749,8741,8713,8753,8693,3704,3,11,18,17,16,26,25,13,14,20,21,31])).
% 58.66/58.80 cnf(8783,plain,
% 58.66/58.80 (~P2(a1,a2,f3(a1,a5))),
% 58.66/58.80 inference(scs_inference,[],[8737,8749,8741,8684,8713,8753,8693,8660,7334,8711,3704,3,11,18,17,16,26,25,13,14,20,21,31,28,29])).
% 58.66/58.80 cnf(8785,plain,
% 58.66/58.80 (P2(a1,f9(a4,a4),f9(a4,a4))),
% 58.66/58.80 inference(scs_inference,[],[8737,8749,8741,8684,8713,8753,8693,8745,8660,7334,8711,3704,3,2838,11,18,17,16,26,25,13,14,20,21,31,28,29,32])).
% 58.66/58.80 cnf(8787,plain,
% 58.66/58.80 (~P4(a1,a1,a4)),
% 58.66/58.80 inference(scs_inference,[],[8737,8749,8741,8684,8713,8753,8751,8693,8745,8660,7334,8711,3704,3,2838,11,18,17,16,26,25,13,14,20,21,31,28,29,32,33])).
% 58.66/58.80 cnf(8793,plain,
% 58.66/58.80 (P4(a4,f6(a4),f6(a4))),
% 58.66/58.80 inference(scs_inference,[],[8733,17])).
% 58.66/58.80 cnf(8795,plain,
% 58.66/58.80 (P1(f6(a5))),
% 58.66/58.80 inference(scs_inference,[],[8733,4,17,11])).
% 58.66/58.80 cnf(8797,plain,
% 58.66/58.80 (P2(f6(a5),a5,a1)),
% 58.66/58.80 inference(scs_inference,[],[8733,4,17,11,18])).
% 58.66/58.80 cnf(8801,plain,
% 58.66/58.80 (P4(f3(a4,a4),a4,f3(a4,a4))),
% 58.66/58.80 inference(scs_inference,[],[8676,8763,8733,4,17,11,18,25,26])).
% 58.66/58.80 cnf(8805,plain,
% 58.66/58.80 (P1(f3(a5,a5))),
% 58.66/58.80 inference(scs_inference,[],[8676,8763,8705,8733,4,17,11,18,25,26,16,13])).
% 58.66/58.80 cnf(8807,plain,
% 58.66/58.80 (P1(f9(a5,a5))),
% 58.66/58.80 inference(scs_inference,[],[8676,8763,8705,8733,4,17,11,18,25,26,16,13,14])).
% 58.66/58.80 cnf(8811,plain,
% 58.66/58.80 (P2(a5,a5,f3(a5,a5))),
% 58.66/58.80 inference(scs_inference,[],[8676,8763,8705,8733,4,17,11,18,25,26,16,13,14,21,20])).
% 58.66/58.80 cnf(8813,plain,
% 58.66/58.80 (P4(f9(a4,a4),f9(a8,a8),f9(a8,a8))),
% 58.66/58.80 inference(scs_inference,[],[8676,8699,8763,8705,8733,8745,4,17,11,18,25,26,16,13,14,21,20,31])).
% 58.66/58.80 cnf(8815,plain,
% 58.66/58.80 (P2(a1,f3(a2,a2),f3(a2,a2))),
% 58.66/58.80 inference(scs_inference,[],[8676,8699,8763,8705,8733,8775,8745,8711,4,17,11,18,25,26,16,13,14,21,20,31,28])).
% 58.66/58.80 cnf(8827,plain,
% 58.66/58.80 (P4(a4,f9(a4,a4),f9(a4,a4))),
% 58.66/58.80 inference(scs_inference,[],[8743,17])).
% 58.66/58.80 cnf(8829,plain,
% 58.66/58.80 (P2(f6(a1),a1,a1)),
% 58.66/58.80 inference(scs_inference,[],[8743,1,17,18])).
% 58.66/58.80 cnf(8843,plain,
% 58.66/58.81 (P2(a1,a1,f3(a1,a1))),
% 58.66/58.81 inference(scs_inference,[],[8697,8813,8743,8759,1,17,18,11,16,26,25,13,14,20])).
% 58.66/58.81 cnf(8845,plain,
% 58.66/58.81 (P4(a1,a1,f9(a1,a1))),
% 58.66/58.81 inference(scs_inference,[],[8697,8813,8743,8759,1,17,18,11,16,26,25,13,14,20,21])).
% 58.66/58.81 cnf(8847,plain,
% 58.66/58.81 (P4(f9(a4,a4),f3(a7,a7),f3(a7,a7))),
% 58.66/58.81 inference(scs_inference,[],[8697,8813,8731,8743,8759,8745,1,17,18,11,16,26,25,13,14,20,21,31])).
% 58.66/58.81 cnf(8853,plain,
% 58.66/58.81 (P4(f3(a4,a4),f9(a4,a4),f3(a4,a4))),
% 58.66/58.81 inference(scs_inference,[],[8697,8813,8731,8801,8743,8759,8811,8797,8672,8745,3888,1,17,18,11,16,26,25,13,14,20,21,31,28,29,30])).
% 58.66/58.81 cnf(8857,plain,
% 58.66/58.81 (~P2(a1,f9(a1,a1),a4)),
% 58.66/58.81 inference(scs_inference,[],[8697,8813,8731,8801,8743,8759,8811,8797,8779,8747,8672,8769,8745,3888,1,3699,17,18,11,16,26,25,13,14,20,21,31,28,29,30,32,33])).
% 58.66/58.81 cnf(8861,plain,
% 58.66/58.81 (P4(f9(a4,a4),a1,a1)),
% 58.66/58.81 inference(scs_inference,[],[8697,8813,8731,8801,8743,8759,8811,8797,8779,8747,8672,8769,8745,3888,1,3699,17,18,11,16,26,25,13,14,20,21,31,28,29,30,32,33,3102,4415])).
% 58.66/58.81 cnf(8874,plain,
% 58.66/58.81 (P4(a4,f3(a2,a2),f3(a2,a2))),
% 58.66/58.81 inference(scs_inference,[],[8771,17])).
% 58.66/58.81 cnf(8876,plain,
% 58.66/58.81 (P2(a7,f6(a7),a1)),
% 58.66/58.81 inference(scs_inference,[],[8695,8771,17,25])).
% 58.66/58.81 cnf(8884,plain,
% 58.66/58.81 (~P4(f9(a4,a4),f9(a1,a1),a4)),
% 58.66/58.81 inference(scs_inference,[],[8787,8695,8853,8857,8771,8773,8845,8861,8749,2018,17,25,26,16,28,31])).
% 58.66/58.81 cnf(8894,plain,
% 58.66/58.81 (P2(f9(a1,a1),a1,a1)),
% 58.66/58.81 inference(scs_inference,[],[8787,8695,8853,8785,8857,8827,8771,8773,8845,8861,8783,8779,8749,2018,36,3637,17,25,26,16,28,31,24,29,30,27,32])).
% 58.66/58.81 cnf(8896,plain,
% 58.66/58.81 (~P2(f9(a1,a1),a1,a4)),
% 58.66/58.81 inference(scs_inference,[],[8787,8695,8853,8785,8857,8827,8771,8773,8845,8861,8783,8779,8749,2018,36,3637,17,25,26,16,28,31,24,29,30,27,32,33])).
% 58.66/58.81 cnf(8900,plain,
% 58.66/58.81 (~P2(a8,f6(a7),a2)),
% 58.66/58.81 inference(scs_inference,[],[8787,8695,8853,8785,8857,8827,8771,8773,8845,8861,8783,8779,8749,2018,36,3637,17,25,26,16,28,31,24,29,30,27,32,33,3577,7378])).
% 58.66/58.81 cnf(8916,plain,
% 58.66/58.81 (P4(f9(a4,a4),f3(a2,a2),f3(a2,a2))),
% 58.66/58.81 inference(scs_inference,[],[8847,8761,8874,8795,8745,17,26,25,16,31])).
% 58.66/58.81 cnf(8918,plain,
% 58.66/58.81 (P2(f6(a1),f3(a1,a1),f3(a1,a1))),
% 58.66/58.81 inference(scs_inference,[],[8847,8761,8829,8843,8874,8795,8745,17,26,25,16,31,28])).
% 58.66/58.81 cnf(8920,plain,
% 58.66/58.81 (~P2(f6(a1),f3(a1,a1),a4)),
% 58.66/58.81 inference(scs_inference,[],[8847,8761,8829,8843,8874,8795,8745,9,17,26,25,16,31,28,29])).
% 58.66/58.81 cnf(8938,plain,
% 58.66/58.81 (P2(f9(a1,a1),f3(a2,a2),f3(a2,a2))),
% 58.66/58.81 inference(scs_inference,[],[8916,8815,8805,8807,8894,17,25,26,16,28])).
% 58.66/58.81 cnf(8944,plain,
% 58.66/58.81 (P4(f9(a7,a7),f9(a4,a4),f9(a7,a7))),
% 58.66/58.81 inference(scs_inference,[],[8916,8815,8918,8805,8807,8920,8793,8894,8739,8745,1695,17,25,26,16,28,31,29,30])).
% 58.66/58.81 cnf(8967,plain,
% 58.66/58.81 ($false),
% 58.66/58.81 inference(scs_inference,[],[7,8944,8938,8896,8900,8884,8876,8652,8733,8737,8729,8749,8745,3166,17,26,25,16,31,28,29]),
% 58.66/58.81 ['proof']).
% 58.66/58.81 % SZS output end Proof
% 58.66/58.81 % Total time :58.160000s
%------------------------------------------------------------------------------