%------------------------------------------------------------------------------
% File : CSE---1.7
% Problem : FLD043-3 : 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 : n026.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 05:55:24 EDT 2024
% Result : Unsatisfiable 58.73s 58.77s
% Output : CNFRefutation 58.73s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.14/0.14 % Problem : FLD043-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 0.14/0.14 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %d %s
% 0.15/0.36 % Computer : n026.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.23/0.36 % CPULimit : 300
% 0.23/0.36 % WCLimit : 300
% 0.23/0.36 % DateTime : Wed Jun 19 11:07:39 EDT 2024
% 0.23/0.36 % CPUTime :
% 0.51/0.62 start to proof:theBenchmark
% 58.73/58.76 %-------------------------------------------
% 58.73/58.76 % File :CSE---1.7
% 58.73/58.76 % Problem :theBenchmark
% 58.73/58.76 % Transform :cnf
% 58.73/58.76 % Format :tptp:raw
% 58.73/58.76 % Command :java -jar mcs_scs.jar %d %s
% 58.73/58.76
% 58.73/58.76 % Result :Theorem 58.100000s
% 58.73/58.76 % Output :CNFRefutation 58.100000s
% 58.73/58.76 %-------------------------------------------
% 58.73/58.77 %--------------------------------------------------------------------------
% 58.73/58.77 % File : FLD043-3 : TPTP v8.2.0. Bugfixed v2.1.0.
% 58.73/58.77 % Domain : Field Theory (Ordered fields)
% 58.73/58.77 % Problem : The multiplication with 0 yields 0
% 58.73/58.77 % Version : [Dra93] axioms : Especial.
% 58.73/58.77 % Theorem formulation : Functional with re axiom set.
% 58.73/58.77 % English :
% 58.73/58.77
% 58.73/58.77 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 58.73/58.77 % Source : [Dra93]
% 58.73/58.77 % Names :
% 58.73/58.77
% 58.73/58.77 % Status : Unsatisfiable
% 58.73/58.77 % Rating : 0.00 v6.3.0, 0.14 v6.2.0, 0.00 v5.5.0, 0.12 v5.4.0, 0.10 v5.2.0, 0.00 v5.0.0, 0.07 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 v2.2.1, 0.33 v2.1.0
% 58.73/58.77 % Syntax : Number of clauses : 30 ( 7 unt; 3 nHn; 30 RR)
% 58.73/58.77 % Number of literals : 81 ( 0 equ; 50 neg)
% 58.73/58.77 % Maximal clause size : 5 ( 2 avg)
% 58.73/58.77 % Maximal term depth : 2 ( 1 avg)
% 58.73/58.77 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 58.73/58.77 % Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% 58.73/58.77 % Number of variables : 73 ( 0 sgn)
% 58.73/58.77 % SPC : CNF_UNS_RFO_NEQ_NHN
% 58.73/58.77
% 58.73/58.77 % Comments :
% 58.73/58.77 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 58.73/58.77 %--------------------------------------------------------------------------
% 58.73/58.77 include('Axioms/FLD002-0.ax').
% 58.73/58.77 %--------------------------------------------------------------------------
% 58.73/58.77 cnf(a_is_defined,hypothesis,
% 58.73/58.77 defined(a) ).
% 58.73/58.77
% 58.73/58.77 cnf(b_is_defined,hypothesis,
% 58.73/58.77 defined(b) ).
% 58.73/58.77
% 58.73/58.77 cnf(product_3,negated_conjecture,
% 58.73/58.77 product(additive_identity,a,b) ).
% 58.73/58.77
% 58.73/58.77 cnf(not_sum_4,negated_conjecture,
% 58.73/58.77 ~ sum(additive_identity,b,additive_identity) ).
% 58.73/58.77
% 58.73/58.77 %--------------------------------------------------------------------------
% 58.73/58.77 %-------------------------------------------
% 58.73/58.77 % Proof found
% 58.73/58.77 % SZS status Theorem for theBenchmark
% 58.73/58.77 % SZS output start Proof
% 58.73/58.77 %ClaNum:30(EqnAxiom:0)
% 58.73/58.77 %VarNum:162(SingletonVarNum:73)
% 58.73/58.77 %MaxLitNum:5
% 58.73/58.77 %MaxfuncDepth:1
% 58.73/58.77 %SharedTerms:11
% 58.73/58.77 %goalClause: 5 7
% 58.73/58.77 %singleGoalClaCount:2
% 58.73/58.77 [1]P1(a1)
% 58.73/58.77 [2]P1(a4)
% 58.73/58.77 [3]P1(a2)
% 58.73/58.77 [4]P1(a5)
% 58.73/58.77 [5]P2(a1,a2,a5)
% 58.73/58.77 [6]~P4(a1,a1,a4)
% 58.73/58.77 [7]~P4(a1,a5,a1)
% 58.73/58.77 [13]~P1(x131)+P4(a1,x131,x131)
% 58.73/58.77 [14]~P1(x141)+P2(a4,x141,x141)
% 58.73/58.77 [8]~P1(x81)+P1(f6(x81))
% 58.73/58.77 [15]~P1(x151)+P4(f6(x151),x151,a1)
% 58.73/58.77 [22]~P4(x222,x221,x223)+P4(x221,x222,x223)
% 58.73/58.77 [23]~P2(x232,x231,x233)+P2(x231,x232,x233)
% 58.73/58.77 [16]~P1(x161)+P4(a1,x161,a1)+P1(f8(x161))
% 58.73/58.77 [20]~P1(x201)+P2(f8(x201),x201,a4)+P4(a1,x201,a1)
% 58.73/58.77 [19]~P3(x192,x191)+~P3(x191,x192)+P4(a1,x191,x192)
% 58.73/58.77 [10]~P1(x102)+~P1(x101)+P1(f3(x101,x102))
% 58.73/58.77 [11]~P1(x112)+~P1(x111)+P1(f7(x111,x112))
% 58.73/58.77 [17]~P1(x172)+~P1(x171)+P4(x171,x172,f3(x171,x172))
% 58.73/58.77 [18]~P1(x182)+~P1(x181)+P2(x181,x182,f7(x181,x182))
% 58.73/58.77 [12]~P3(x121,x123)+P3(x121,x122)+~P3(x123,x122)
% 58.73/58.77 [9]P3(x92,x91)+~P1(x91)+~P1(x92)+P3(x91,x92)
% 58.73/58.77 [21]~P2(x213,x212,x211)+P3(a1,x211)+~P3(a1,x212)+~P3(a1,x213)
% 58.73/58.77 [24]~P4(x243,x245,x241)+P3(x241,x242)+~P4(x244,x245,x242)+~P3(x243,x244)
% 58.73/58.77 [25]~P4(x251,x256,x254)+P4(x251,x252,x253)+~P4(x254,x255,x253)+~P4(x256,x255,x252)
% 58.73/58.77 [26]~P4(x266,x264,x261)+P4(x261,x262,x263)+~P4(x264,x262,x265)+~P4(x266,x265,x263)
% 58.73/58.77 [27]~P2(x271,x276,x274)+P2(x271,x272,x273)+~P2(x274,x275,x273)+~P2(x276,x275,x272)
% 58.73/58.77 [28]~P2(x286,x284,x281)+P2(x281,x282,x283)+~P2(x284,x282,x285)+~P2(x286,x285,x283)
% 58.73/58.77 [29]~P2(x295,x297,x292)+~P2(x294,x297,x291)+P4(x291,x292,x293)+~P4(x294,x295,x296)+~P2(x296,x297,x293)
% 58.73/58.77 [30]~P2(x307,x302,x305)+~P2(x306,x302,x304)+P2(x301,x302,x303)+~P4(x304,x305,x303)+~P4(x306,x307,x301)
% 58.73/58.77 %EqnAxiom
% 58.73/58.77
% 58.73/58.77 %-------------------------------------------
% 58.73/58.78 cnf(31,plain,
% 58.73/58.78 (~P4(a5,a1,a1)),
% 58.73/58.78 inference(scs_inference,[],[7,22])).
% 58.73/58.78 cnf(33,plain,
% 58.73/58.78 (P3(a1,a1)),
% 58.73/58.78 inference(scs_inference,[],[7,1,22,9])).
% 58.73/58.78 cnf(39,plain,
% 58.73/58.78 (P2(a5,x391,a5)+~P2(a2,x391,a2)),
% 58.73/58.78 inference(scs_inference,[],[5,7,1,22,9,19,27,28])).
% 58.73/58.78 cnf(42,plain,
% 58.73/58.78 (P3(a4,a4)),
% 58.73/58.78 inference(scs_inference,[],[2,9])).
% 58.73/58.78 cnf(46,plain,
% 58.73/58.78 (~P2(a1,a1,a4)+~P3(a4,a1)),
% 58.73/58.78 inference(scs_inference,[],[2,6,33,9,19,21])).
% 58.73/58.78 cnf(49,plain,
% 58.73/58.78 (P3(a2,a2)),
% 58.73/58.78 inference(scs_inference,[],[3,9])).
% 58.73/58.78 cnf(51,plain,
% 58.73/58.78 (P4(a5,a5,a5)+~P4(a1,a1,a1)),
% 58.73/58.78 inference(scs_inference,[],[5,3,9,29])).
% 58.73/58.78 cnf(54,plain,
% 58.73/58.78 (P3(a5,a5)),
% 58.73/58.78 inference(scs_inference,[],[4,9])).
% 58.73/58.78 cnf(57,plain,
% 58.73/58.78 (~P4(a5,a5,x571)+P3(a5,x571)+~P4(a1,a1,a1)),
% 58.73/58.78 inference(scs_inference,[],[5,54,24,29])).
% 58.73/58.78 cnf(64,plain,
% 58.73/58.78 (~P4(a1,x641,x642)+~P4(a1,x641,x643)+P3(x642,x643)),
% 58.73/58.78 inference(scs_inference,[],[33,24])).
% 58.73/58.78 cnf(149,plain,
% 58.73/58.78 (P4(f6(f6(a4)),f6(a4),a1)),
% 58.73/58.78 inference(scs_inference,[],[2,15,8])).
% 58.73/58.78 cnf(152,plain,
% 58.73/58.78 (~P4(a5,f6(a4),f6(a4))),
% 58.73/58.78 inference(scs_inference,[],[7,149,26,22])).
% 58.73/58.78 cnf(169,plain,
% 58.73/58.78 (~P4(a1,x1691,a4)+~P4(a1,x1691,a1)+~P2(a1,a1,a4)),
% 58.73/58.78 inference(scs_inference,[],[46,64])).
% 58.73/58.78 cnf(201,plain,
% 58.73/58.78 (~P2(x2011,a2,a2)+P2(a5,x2011,a5)),
% 58.73/58.78 inference(scs_inference,[],[39,23])).
% 58.73/58.78 cnf(249,plain,
% 58.73/58.78 (P2(x2491,a5,a5)+~P2(x2491,a2,a2)),
% 58.73/58.78 inference(scs_inference,[],[201,23])).
% 58.73/58.78 cnf(281,plain,
% 58.73/58.78 (P2(a4,a5,a5)),
% 58.73/58.78 inference(scs_inference,[],[3,249,14])).
% 58.73/58.78 cnf(282,plain,
% 58.73/58.78 (~P2(x2821,a4,a4)+P2(x2821,a5,a5)),
% 58.73/58.78 inference(scs_inference,[],[281,27])).
% 58.73/58.78 cnf(319,plain,
% 58.73/58.78 (P2(a5,x3191,a5)+~P2(x3191,a4,a4)),
% 58.73/58.78 inference(scs_inference,[],[282,23])).
% 58.73/58.78 cnf(365,plain,
% 58.73/58.78 (P2(a5,a4,a5)),
% 58.73/58.78 inference(scs_inference,[],[2,319,14])).
% 58.73/58.78 cnf(573,plain,
% 58.73/58.78 (P3(a5,x5731)+~P4(a5,a5,x5731)),
% 58.73/58.78 inference(scs_inference,[],[1,57,13])).
% 58.73/58.78 cnf(589,plain,
% 58.73/58.78 (P4(a1,a5,a5)+~P4(a5,a5,a5)),
% 58.73/58.78 inference(scs_inference,[],[54,573,19])).
% 58.73/58.78 cnf(605,plain,
% 58.73/58.78 (~P4(a1,a1,a1)+P4(a1,a5,a5)),
% 58.73/58.78 inference(scs_inference,[],[5,589,29])).
% 58.73/58.78 cnf(621,plain,
% 58.73/58.78 (P4(a1,a5,a5)),
% 58.73/58.78 inference(scs_inference,[],[1,605,13])).
% 58.73/58.78 cnf(622,plain,
% 58.73/58.78 (~P4(a1,a1,x6221)+~P4(x6221,a5,a1)),
% 58.73/58.78 inference(scs_inference,[],[7,621,25])).
% 58.73/58.78 cnf(641,plain,
% 58.73/58.78 (~P4(a1,a1,f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[4,622,15])).
% 58.73/58.78 cnf(1456,plain,
% 58.73/58.78 (P4(a1,f6(a5),f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[4,8,13])).
% 58.73/58.78 cnf(1457,plain,
% 58.73/58.78 (P3(f6(a5),f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[1456,64])).
% 58.73/58.78 cnf(1466,plain,
% 58.73/58.78 (~P4(a1,x14661,a1)+~P4(x14661,a1,f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[641,1456,26])).
% 58.73/58.78 cnf(1485,plain,
% 58.73/58.78 (~P4(a1,f6(a5),a1)),
% 58.73/58.78 inference(scs_inference,[],[1456,1466,22])).
% 58.73/58.78 cnf(1486,plain,
% 58.73/58.78 (~P4(f6(a5),a1,a1)),
% 58.73/58.78 inference(scs_inference,[],[1485,22])).
% 58.73/58.78 cnf(2366,plain,
% 58.73/58.78 (P2(a4,f6(a5),f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[4,8,14])).
% 58.73/58.78 cnf(2608,plain,
% 58.73/58.78 (P4(f6(f6(a5)),f6(a5),a1)),
% 58.73/58.78 inference(scs_inference,[],[4,8,15])).
% 58.73/58.78 cnf(3027,plain,
% 58.73/58.78 (~P4(a5,x30271,f6(a4))+~P4(a1,a1,a1)),
% 58.73/58.78 inference(scs_inference,[],[1457,5,152,25,24,29])).
% 58.73/58.78 cnf(3030,plain,
% 58.73/58.78 (~P4(a5,x30301,a5)+~P4(a5,x30301,a1)),
% 58.73/58.78 inference(scs_inference,[],[7,621,25])).
% 58.73/58.78 cnf(3032,plain,
% 58.73/58.78 (~P4(a5,x30321,a5)+~P4(x30321,a5,a1)),
% 58.73/58.78 inference(scs_inference,[],[7,621,25,22])).
% 58.73/58.78 cnf(3077,plain,
% 58.73/58.78 (~P4(a5,f6(a5),a5)),
% 58.73/58.78 inference(scs_inference,[],[4,3032,15])).
% 58.73/58.78 cnf(3078,plain,
% 58.73/58.78 (~P4(f6(a5),a5,a5)),
% 58.73/58.78 inference(scs_inference,[],[3077,22])).
% 58.73/58.78 cnf(3085,plain,
% 58.73/58.78 (~P2(a4,a1,f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[365,3078,621,29,23])).
% 58.73/58.78 cnf(3087,plain,
% 58.73/58.78 (~P2(a4,x30871,a1)+~P2(x30871,a4,f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[365,3078,2366,621,29,23,28])).
% 58.73/58.78 cnf(3102,plain,
% 58.73/58.78 (~P2(x31021,a5,f6(a5))+~P4(x31021,a4,a4)),
% 58.73/58.78 inference(scs_inference,[],[281,3078,29])).
% 58.73/58.78 cnf(3104,plain,
% 58.73/58.78 (~P2(a5,x31041,f6(a5))+~P4(x31041,a4,a4)),
% 58.73/58.78 inference(scs_inference,[],[281,3078,29,23])).
% 58.73/58.78 cnf(3161,plain,
% 58.73/58.78 (~P4(f6(a5),f6(a4),f6(a4))),
% 58.73/58.78 inference(scs_inference,[],[1485,149,26,22])).
% 58.73/58.78 cnf(3166,plain,
% 58.73/58.78 (~P4(f6(a5),f6(a5),f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[1485,2608,26])).
% 58.73/58.78 cnf(3197,plain,
% 58.73/58.78 (~P4(a5,x31971,f6(a4))),
% 58.73/58.78 inference(scs_inference,[],[1,3027,13])).
% 58.73/58.78 cnf(3211,plain,
% 58.73/58.78 (~P4(a5,a1,x32111)+~P4(x32111,f6(a5),f6(a4))),
% 58.73/58.78 inference(scs_inference,[],[1456,3197,25])).
% 58.73/58.78 cnf(3291,plain,
% 58.73/58.78 (~P2(a4,f6(a5),a1)),
% 58.73/58.78 inference(scs_inference,[],[2366,3087,23])).
% 58.73/58.78 cnf(3292,plain,
% 58.73/58.78 (~P2(f6(a5),a4,a1)),
% 58.73/58.78 inference(scs_inference,[],[3291,23])).
% 58.73/58.78 cnf(3367,plain,
% 58.73/58.78 (~P2(x33671,a1,x33672)+~P2(x33672,a2,f6(a5))+~P4(x33671,a4,a4)),
% 58.73/58.78 inference(scs_inference,[],[5,3102,27])).
% 58.73/58.78 cnf(3387,plain,
% 58.73/58.78 (~P2(a5,a1,f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[2,3104,13])).
% 58.73/58.78 cnf(3388,plain,
% 58.73/58.78 (~P2(a1,a5,f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[3387,23])).
% 58.73/58.78 cnf(3393,plain,
% 58.73/58.78 (~P2(a1,a5,x33931)+~P2(x33931,a4,f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[3388,365,27])).
% 58.73/58.78 cnf(3629,plain,
% 58.73/58.78 (~P4(a5,x36291,x36292)+~P4(a5,x36291,x36293)+P3(x36292,x36293)),
% 58.73/58.78 inference(scs_inference,[],[3292,3161,54,24])).
% 58.73/58.78 cnf(3705,plain,
% 58.73/58.78 (~P2(f7(a1,a5),a4,f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[4,1,3393,18])).
% 58.73/58.78 cnf(3706,plain,
% 58.73/58.78 (~P2(a4,f7(a1,a5),f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[3705,23])).
% 58.73/58.78 cnf(3711,plain,
% 58.73/58.78 (~P2(a5,x37111,f7(a1,a5))+~P2(a5,x37111,f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[3706,281,27])).
% 58.73/58.78 cnf(3789,plain,
% 58.73/58.78 (P4(a5,a1,a5)),
% 58.73/58.78 inference(scs_inference,[],[621,22])).
% 58.73/58.78 cnf(3800,plain,
% 58.73/58.78 (P4(f6(a5),f6(f6(a5)),a1)),
% 58.73/58.78 inference(scs_inference,[],[2608,22])).
% 58.73/58.78 cnf(3813,plain,
% 58.73/58.78 (P4(f6(a5),a1,f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[1456,22])).
% 58.73/58.78 cnf(3909,plain,
% 58.73/58.78 (~P2(f6(a5),x39091,a1)+~P2(f6(a5),x39091,f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[2366,3085,3800,6,1456,25,27])).
% 58.73/58.78 cnf(3911,plain,
% 58.73/58.78 (~P2(x39111,f6(a5),a1)+~P2(f6(a5),x39111,f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[2366,3085,3800,6,1456,25,27,23])).
% 58.73/58.78 cnf(3932,plain,
% 58.73/58.78 (P2(f6(a5),a4,f6(a5))),
% 58.73/58.78 inference(scs_inference,[],[2366,23])).
% 58.73/58.78 cnf(3934,plain,
% 58.73/58.78 (~P2(f6(a5),a4,f7(a1,a5))),
% 58.73/58.78 inference(scs_inference,[],[2366,3706,23,27])).
% 58.73/58.78 cnf(3938,plain,
% 58.73/58.78 (~P2(f6(a5),x39381,a4)+~P2(x39381,a1,a4)),
% 58.73/58.78 inference(scs_inference,[],[2366,3085,3706,3292,3813,3800,23,27,30,28])).
% 58.73/58.78 cnf(3941,plain,
% 58.73/58.78 (P2(a2,a1,a5)),
% 58.73/58.78 inference(scs_inference,[],[5,23])).
% 58.73/58.78 cnf(4511,plain,
% 58.73/58.78 (~P2(x45111,f6(a5),a4)+~P2(x45111,a1,a4)),
% 58.73/58.79 inference(scs_inference,[],[3938,23])).
% 58.73/58.79 cnf(4877,plain,
% 58.73/58.79 (~P1(f6(a5))+~P2(f8(f6(a5)),a1,a4)),
% 58.73/58.79 inference(scs_inference,[],[1485,4511,20])).
% 58.73/58.79 cnf(5092,plain,
% 58.73/58.79 (~P2(f8(f6(a5)),a1,a4)),
% 58.73/58.79 inference(scs_inference,[],[4,4877,8])).
% 58.73/58.79 cnf(5416,plain,
% 58.73/58.79 (~P2(x54161,a4,f6(a4))+~P4(a5,f6(a5),x54161)),
% 58.73/58.79 inference(scs_inference,[],[3789,3932,365,3211,29])).
% 58.73/58.79 cnf(5656,plain,
% 58.73/58.79 (~P4(a4,a4,a4)),
% 58.73/58.79 inference(scs_inference,[],[3166,2366,29])).
% 58.73/58.79 cnf(5776,plain,
% 58.73/58.79 (~P4(x57761,x57762,a4)+~P4(a4,x57761,x57763)+~P4(x57763,x57762,a4)),
% 58.73/58.79 inference(scs_inference,[],[5656,5092,42,25])).
% 58.73/58.79 cnf(5943,plain,
% 58.73/58.79 (~P4(f6(a5),a5,x59431)+~P2(x59431,a4,f6(a4))),
% 58.73/58.79 inference(scs_inference,[],[5416,22])).
% 58.73/58.79 cnf(6219,plain,
% 58.73/58.79 (~P2(a4,x62191,f6(a4))+~P4(f6(a5),a5,x62191)),
% 58.73/58.79 inference(scs_inference,[],[5943,23])).
% 58.73/58.79 cnf(6283,plain,
% 58.73/58.79 (~P2(a4,a1,f6(a4))),
% 58.73/58.79 inference(scs_inference,[],[4,6219,15])).
% 58.73/58.79 cnf(6610,plain,
% 58.73/58.79 (~P2(f6(a5),x66101,a5)+~P2(x66101,x66102,a4)+~P2(a5,x66102,f7(a1,a5))),
% 58.73/58.79 inference(scs_inference,[],[3932,3711,28])).
% 58.73/58.79 cnf(6694,plain,
% 58.73/58.79 (~P4(a5,x66941,a1)+~P4(a1,a1,x66941)),
% 58.73/58.79 inference(scs_inference,[],[3789,31,26])).
% 58.73/58.79 cnf(6718,plain,
% 58.73/58.79 (~P4(a5,f3(a1,a1),a1)),
% 58.73/58.79 inference(scs_inference,[],[1,6694,17])).
% 58.73/58.79 cnf(6722,plain,
% 58.73/58.79 (P1(f6(a2))),
% 58.73/58.79 inference(scs_inference,[],[3,8])).
% 58.73/58.79 cnf(6726,plain,
% 58.73/58.79 (P2(a4,a2,a2)),
% 58.73/58.79 inference(scs_inference,[],[6718,3,8,22,14])).
% 58.73/58.79 cnf(6730,plain,
% 58.73/58.79 (P4(a1,a2,a2)),
% 58.73/58.79 inference(scs_inference,[],[6718,6283,3,8,22,14,23,13])).
% 58.73/58.79 cnf(6732,plain,
% 58.73/58.79 (P4(f6(a2),a2,a1)),
% 58.73/58.79 inference(scs_inference,[],[6718,6283,3,8,22,14,23,13,15])).
% 58.73/58.79 cnf(6734,plain,
% 58.73/58.79 (P1(f3(a2,a2))),
% 58.73/58.79 inference(scs_inference,[],[6718,6283,3,8,22,14,23,13,15,10])).
% 58.73/58.79 cnf(6736,plain,
% 58.73/58.79 (P1(f7(a2,a2))),
% 58.73/58.79 inference(scs_inference,[],[6718,6283,3,8,22,14,23,13,15,10,11])).
% 58.73/58.79 cnf(6738,plain,
% 58.73/58.79 (P1(f8(a5))),
% 58.73/58.79 inference(scs_inference,[],[6718,6283,3,4,7,8,22,14,23,13,15,10,11,16])).
% 58.73/58.79 cnf(6740,plain,
% 58.73/58.79 (P2(f8(a5),a5,a4)),
% 58.73/58.79 inference(scs_inference,[],[6718,6283,3,4,7,8,22,14,23,13,15,10,11,16,20])).
% 58.73/58.79 cnf(6742,plain,
% 58.73/58.79 (P4(a2,a2,f3(a2,a2))),
% 58.73/58.79 inference(scs_inference,[],[6718,6283,3,4,7,8,22,14,23,13,15,10,11,16,20,17])).
% 58.73/58.79 cnf(6744,plain,
% 58.73/58.79 (P2(a2,a2,f7(a2,a2))),
% 58.73/58.79 inference(scs_inference,[],[6718,6283,3,4,7,8,22,14,23,13,15,10,11,16,20,17,18])).
% 58.73/58.79 cnf(6746,plain,
% 58.73/58.79 (P4(a1,a4,a4)),
% 58.73/58.79 inference(scs_inference,[],[6718,6283,3,4,7,42,8,22,14,23,13,15,10,11,16,20,17,18,19])).
% 58.73/58.79 cnf(6748,plain,
% 58.73/58.79 (P3(f6(a2),f6(a2))),
% 58.73/58.79 inference(scs_inference,[],[6718,6283,3,4,7,42,8,22,14,23,13,15,10,11,16,20,17,18,19,9])).
% 58.73/58.79 cnf(6750,plain,
% 58.73/58.79 (P2(a4,f7(a2,a2),f7(a2,a2))),
% 58.73/58.79 inference(scs_inference,[],[6718,6283,3,4,7,42,8,22,14,23,13,15,10,11,16,20,17,18,19,9,27])).
% 58.73/58.79 cnf(6756,plain,
% 58.73/58.79 (~P4(a2,f6(a5),a2)),
% 58.73/58.79 inference(scs_inference,[],[6718,6283,3934,1485,3,4,3932,2366,7,49,42,8,22,14,23,13,15,10,11,16,20,17,18,19,9,27,28,24,26])).
% 58.73/58.79 cnf(6758,plain,
% 58.73/58.79 (~P4(f6(a5),f6(a2),f6(a2))),
% 58.73/58.79 inference(scs_inference,[],[6718,6283,3934,1486,1485,3,4,3932,2366,7,49,42,8,22,14,23,13,15,10,11,16,20,17,18,19,9,27,28,24,26,25])).
% 58.73/58.79 cnf(6760,plain,
% 58.73/58.79 (~P2(f3(a2,a2),a1,f6(a4))),
% 58.73/58.79 inference(scs_inference,[],[6718,6283,3934,1486,3197,1485,3941,3,4,3932,2366,7,49,42,8,22,14,23,13,15,10,11,16,20,17,18,19,9,27,28,24,26,25,29])).
% 58.73/58.79 cnf(6765,plain,
% 58.73/58.79 (~P4(a4,a1,a1)),
% 58.73/58.79 inference(scs_inference,[],[6718,6283,3934,1486,3197,1485,3941,3,4,3932,2366,7,49,42,8,22,14,23,13,15,10,11,16,20,17,18,19,9,27,28,24,26,25,29,169,5776])).
% 58.73/58.79 cnf(6769,plain,
% 58.73/58.79 (P1(f6(a4))),
% 58.73/58.79 inference(scs_inference,[],[2,8])).
% 58.73/58.79 cnf(6771,plain,
% 58.73/58.79 (~P4(a1,a4,a1)),
% 58.73/58.79 inference(scs_inference,[],[6765,2,8,22])).
% 58.73/58.79 cnf(6775,plain,
% 58.73/58.79 (P4(a1,f3(a2,a2),f3(a2,a2))),
% 58.73/58.79 inference(scs_inference,[],[6765,6734,6760,2,8,22,23,13])).
% 58.73/58.79 cnf(6777,plain,
% 58.73/58.79 (P2(a4,f3(a2,a2),f3(a2,a2))),
% 58.73/58.79 inference(scs_inference,[],[6765,6734,6760,2,8,22,23,13,14])).
% 58.73/58.79 cnf(6779,plain,
% 58.73/58.79 (P4(f6(a4),a4,a1)),
% 58.73/58.79 inference(scs_inference,[],[6765,6734,6760,2,8,22,23,13,14,15])).
% 58.73/58.79 cnf(6783,plain,
% 58.73/58.79 (P2(f8(a4),a4,a4)),
% 58.73/58.79 inference(scs_inference,[],[6765,6734,6760,2,8,22,23,13,14,15,11,20])).
% 58.73/58.79 cnf(6787,plain,
% 58.73/58.79 (P1(f3(a4,a4))),
% 58.73/58.79 inference(scs_inference,[],[6765,6734,6760,2,8,22,23,13,14,15,11,20,16,10])).
% 58.73/58.79 cnf(6789,plain,
% 58.73/58.79 (P4(a4,a4,f3(a4,a4))),
% 58.73/58.79 inference(scs_inference,[],[6765,6734,6760,2,8,22,23,13,14,15,11,20,16,10,17])).
% 58.73/58.79 cnf(6791,plain,
% 58.73/58.79 (P2(a4,a4,f7(a4,a4))),
% 58.73/58.79 inference(scs_inference,[],[6765,6734,6760,2,8,22,23,13,14,15,11,20,16,10,17,18])).
% 58.73/58.79 cnf(6793,plain,
% 58.73/58.79 (P4(a1,f6(a2),f6(a2))),
% 58.73/58.79 inference(scs_inference,[],[6765,6734,6748,6760,2,8,22,23,13,14,15,11,20,16,10,17,18,19])).
% 58.73/58.79 cnf(6797,plain,
% 58.73/58.79 (P2(a4,a4,a4)),
% 58.73/58.79 inference(scs_inference,[],[6765,6734,6748,6760,6740,2,3932,365,8,22,23,13,14,15,11,20,16,10,17,18,19,27,28])).
% 58.73/58.79 cnf(6801,plain,
% 58.73/58.79 (~P4(a1,f3(a4,a4),a4)),
% 58.73/58.79 inference(scs_inference,[],[6746,6765,6734,6748,6760,6740,2,3932,5656,42,365,8,22,23,13,14,15,11,20,16,10,17,18,19,27,28,24,26])).
% 58.73/58.79 cnf(6803,plain,
% 58.73/58.79 (P4(a1,f3(a4,a4),f3(a4,a4))),
% 58.73/58.79 inference(scs_inference,[],[6746,6765,6734,6748,6760,6740,2,3932,5656,42,365,8,22,23,13,14,15,11,20,16,10,17,18,19,27,28,24,26,25])).
% 58.73/58.79 cnf(6805,plain,
% 58.73/58.79 (~P2(a2,a2,f6(a4))),
% 58.73/58.79 inference(scs_inference,[],[5,6730,6746,6765,6734,6748,6760,6744,6740,3197,2,3932,5656,42,365,8,22,23,13,14,15,11,20,16,10,17,18,19,27,28,24,26,25,29])).
% 58.73/58.79 cnf(6808,plain,
% 58.73/58.79 (P2(f3(a4,a4),a2,f3(a2,a2))),
% 58.73/58.79 inference(scs_inference,[],[5,6730,6726,6746,6765,6734,6748,6760,6742,6744,6740,3197,2,3932,5656,42,365,8,22,23,13,14,15,11,20,16,10,17,18,19,27,28,24,26,25,29,30])).
% 58.73/58.79 cnf(6814,plain,
% 58.73/58.79 (P2(f8(a4),a5,a5)),
% 58.73/58.79 inference(scs_inference,[],[5,6730,6726,6746,6765,6734,6748,6760,6742,6744,6740,3197,2,3932,5656,42,365,8,22,23,13,14,15,11,20,16,10,17,18,19,27,28,24,26,25,29,30,3909,3911,282])).
% 58.73/58.79 cnf(6830,plain,
% 58.73/58.79 (P4(a1,f7(a2,a2),f7(a2,a2))),
% 58.73/58.79 inference(scs_inference,[],[6736,6758,1,8,22,13])).
% 58.73/58.79 cnf(6832,plain,
% 58.73/58.79 (P2(a4,f3(a4,a4),f3(a4,a4))),
% 58.73/58.79 inference(scs_inference,[],[6736,6787,6758,1,8,22,13,14])).
% 58.73/58.79 cnf(6834,plain,
% 58.73/58.79 (P4(f6(a1),a1,a1)),
% 58.73/58.79 inference(scs_inference,[],[6736,6787,6758,1,8,22,13,14,15])).
% 58.73/58.79 cnf(6836,plain,
% 58.73/58.79 (P1(f3(a1,a1))),
% 58.73/58.79 inference(scs_inference,[],[6736,6787,6758,1,8,22,13,14,15,10])).
% 58.73/58.79 cnf(6838,plain,
% 58.73/58.79 (P1(f7(a1,a1))),
% 58.73/58.79 inference(scs_inference,[],[6736,6787,6758,1,8,22,13,14,15,10,11])).
% 58.73/58.79 cnf(6842,plain,
% 58.73/58.79 (P4(a1,a1,f3(a1,a1))),
% 58.73/58.79 inference(scs_inference,[],[6736,6787,6758,1,8,22,13,14,15,10,11,64,17])).
% 58.73/58.79 cnf(6846,plain,
% 58.73/58.79 (P4(a1,a1,a1)),
% 58.73/58.79 inference(scs_inference,[],[6736,6787,6758,1,33,8,22,13,14,15,10,11,64,17,18,19])).
% 58.73/58.79 cnf(6854,plain,
% 58.73/58.79 (~P2(f3(a4,a4),a2,f6(a4))),
% 58.73/58.79 inference(scs_inference,[],[5,6775,6736,6787,6805,6808,6803,6758,6744,6726,3197,1,33,8,22,13,14,15,10,11,64,17,18,19,28,26,25,29])).
% 58.73/58.79 cnf(6857,plain,
% 58.73/58.79 (P2(f3(a4,a4),a4,f3(a4,a4))),
% 58.73/58.79 inference(scs_inference,[],[5,6797,6775,6736,6787,6805,6808,6803,6758,6789,6744,6726,3197,1,33,8,22,13,14,15,10,11,64,17,18,19,28,26,25,29,30])).
% 58.73/58.79 cnf(6859,plain,
% 58.73/58.79 (P4(a5,a5,a5)),
% 58.73/58.79 inference(scs_inference,[],[5,6797,6775,6736,6787,6805,6808,6803,6758,6789,6744,6726,3197,1,33,8,22,13,14,15,10,11,64,17,18,19,28,26,25,29,30,51])).
% 58.73/58.79 cnf(6860,plain,
% 58.73/58.79 (~P4(a5,a5,a1)),
% 58.73/58.79 inference(scs_inference,[],[5,6797,6775,6736,6787,6805,6808,6803,6758,6789,6744,6726,3197,1,33,8,22,13,14,15,10,11,64,17,18,19,28,26,25,29,30,51,3030])).
% 58.73/58.79 cnf(6866,plain,
% 58.73/58.79 (P3(a1,f7(a1,a1))),
% 58.73/58.79 inference(scs_inference,[],[5,6797,6775,6736,6787,6805,6808,6803,6758,6789,6744,6726,3197,1,33,8,22,13,14,15,10,11,64,17,18,19,28,26,25,29,30,51,3030,23,6610,21])).
% 58.73/58.79 cnf(6868,plain,
% 58.73/58.79 (~P2(f7(a1,a1),a2,f6(a5))),
% 58.73/58.79 inference(scs_inference,[],[5,6797,6775,6736,6787,6805,6808,6803,6758,6789,6744,6726,6746,3197,1,33,8,22,13,14,15,10,11,64,17,18,19,28,26,25,29,30,51,3030,23,6610,21,3367])).
% 58.73/58.79 cnf(6883,plain,
% 58.73/58.79 (P4(f6(a5),a5,a1)),
% 58.73/58.79 inference(scs_inference,[],[6868,6836,6801,4,8,22,14,13,23,15])).
% 58.73/58.79 cnf(6889,plain,
% 58.73/58.79 (P2(a5,a5,f7(a5,a5))),
% 58.73/58.79 inference(scs_inference,[],[6868,6836,6801,4,8,22,14,13,23,15,10,11,18])).
% 58.73/58.79 cnf(6891,plain,
% 58.73/58.79 (P4(a5,a5,f3(a5,a5))),
% 58.73/58.79 inference(scs_inference,[],[6868,6836,6801,4,8,22,14,13,23,15,10,11,18,17])).
% 58.73/58.79 cnf(6897,plain,
% 58.73/58.79 (~P4(a2,a4,a2)),
% 58.73/58.79 inference(scs_inference,[],[6771,6750,6868,6836,6732,6791,6801,6783,4,8,22,14,13,23,15,10,11,18,17,27,28,26])).
% 58.73/58.79 cnf(6899,plain,
% 58.73/58.79 (~P4(a4,f6(a4),f6(a4))),
% 58.73/58.79 inference(scs_inference,[],[6771,6750,6868,6836,6732,6791,6779,6801,6783,6765,4,8,22,14,13,23,15,10,11,18,17,27,28,26,25])).
% 58.73/58.79 cnf(6901,plain,
% 58.73/58.79 (~P2(a1,a2,a1)),
% 58.73/58.79 inference(scs_inference,[],[5,6860,6771,6846,6750,6868,6836,6732,6791,6779,6801,6783,6765,4,8,22,14,13,23,15,10,11,18,17,27,28,26,25,29])).
% 58.73/58.79 cnf(6913,plain,
% 58.73/58.79 (~P4(a4,a2,a2)),
% 58.73/58.79 inference(scs_inference,[],[6897,22])).
% 58.73/58.79 cnf(6931,plain,
% 58.73/58.79 (~P2(f3(a2,a2),a1,a1)),
% 58.73/58.79 inference(scs_inference,[],[6901,6897,6793,6777,6838,6834,6891,6842,6860,6732,6742,6783,3941,22,13,14,23,3629,19,27,26,25,29])).
% 58.73/58.79 cnf(6935,plain,
% 58.73/58.79 (~P2(a4,f3(a2,a2),f6(a4))),
% 58.73/58.79 inference(scs_inference,[],[6901,6897,6793,6777,6838,6866,6834,6832,6854,6891,6842,6860,6732,6808,6742,6783,3941,22,13,14,23,3629,19,27,26,25,29,12,28])).
% 58.73/58.79 cnf(6956,plain,
% 58.73/58.79 (~P2(a1,a2,a4)),
% 58.73/58.79 inference(scs_inference,[],[6913,6830,6722,6738,6935,6899,6931,6857,6791,6834,6842,6808,6726,6746,3941,22,13,23,14,27,28,26,25,29])).
% 58.73/58.79 cnf(6976,plain,
% 58.73/58.79 ($false),
% 58.73/58.79 inference(scs_inference,[],[5,6956,6814,6889,6769,6756,6859,6883,6740,7,22,13,14,23,27,28,26]),
% 58.73/58.79 ['proof']).
% 58.73/58.79 % SZS output end Proof
% 58.73/58.79 % Total time :58.100000s
%------------------------------------------------------------------------------