TSTP Solution File: FLD050-4 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : FLD050-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox/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 : Wed Aug 30 22:26:48 EDT 2023
% Result : Unsatisfiable 0.56s 0.90s
% Output : CNFRefutation 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : FLD050-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.07/0.13 % Command : java -jar /export/starexec/sandbox/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n009.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Mon Aug 28 00:48:20 EDT 2023
% 0.13/0.35 % CPUTime :
% 0.20/0.57 start to proof:theBenchmark
% 0.56/0.90 %-------------------------------------------
% 0.56/0.90 % File :CSE---1.6
% 0.56/0.90 % Problem :theBenchmark
% 0.56/0.90 % Transform :cnf
% 0.56/0.90 % Format :tptp:raw
% 0.56/0.90 % Command :java -jar mcs_scs.jar %d %s
% 0.56/0.90
% 0.56/0.90 % Result :Theorem 0.270000s
% 0.56/0.90 % Output :CNFRefutation 0.270000s
% 0.56/0.90 %-------------------------------------------
% 0.56/0.90 %--------------------------------------------------------------------------
% 0.56/0.90 % File : FLD050-4 : TPTP v8.1.2. Bugfixed v2.1.0.
% 0.56/0.90 % Domain : Field Theory (Ordered fields)
% 0.56/0.90 % Problem : Fraction calculation, part 4
% 0.56/0.90 % Version : [Dra93] axioms : Especial.
% 0.56/0.90 % Theorem formulation : Relational with re axiom set.
% 0.56/0.90 % English :
% 0.56/0.90
% 0.56/0.90 % Refs : [Dra93] Draeger (1993), Anwendung des Theorembeweisers SETHEO
% 0.56/0.90 % Source : [Dra93]
% 0.56/0.90 % Names :
% 0.56/0.90
% 0.56/0.90 % Status : Unsatisfiable
% 0.56/0.90 % Rating : 0.14 v7.5.0, 0.17 v7.4.0, 0.00 v7.0.0, 0.25 v6.3.0, 0.00 v6.2.0, 0.11 v6.1.0, 0.00 v6.0.0, 0.14 v5.5.0, 0.25 v5.4.0, 0.20 v5.2.0, 0.10 v5.1.0, 0.18 v5.0.0, 0.29 v4.1.0, 0.12 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, 0.25 v2.6.0, 0.67 v2.5.0, 0.20 v2.4.0, 0.60 v2.3.0, 0.67 v2.2.1, 1.00 v2.1.0
% 0.56/0.90 % Syntax : Number of clauses : 38 ( 15 unt; 3 nHn; 38 RR)
% 0.56/0.90 % Number of literals : 89 ( 0 equ; 52 neg)
% 0.56/0.90 % Maximal clause size : 5 ( 2 avg)
% 0.56/0.90 % Maximal term depth : 2 ( 1 avg)
% 0.56/0.90 % Number of predicates : 4 ( 4 usr; 0 prp; 1-3 aty)
% 0.56/0.90 % Number of functors : 12 ( 12 usr; 8 con; 0-2 aty)
% 0.56/0.90 % Number of variables : 73 ( 0 sgn)
% 0.56/0.90 % SPC : CNF_UNS_RFO_NEQ_NHN
% 0.56/0.90
% 0.56/0.90 % Comments :
% 0.56/0.90 % Bugfixes : v2.1.0 - Bugfix in FLD002-0.ax
% 0.56/0.90 %--------------------------------------------------------------------------
% 0.56/0.90 include('Axioms/FLD002-0.ax').
% 0.56/0.90 %--------------------------------------------------------------------------
% 0.56/0.90 cnf(a_is_defined,hypothesis,
% 0.56/0.90 defined(a) ).
% 0.56/0.90
% 0.56/0.90 cnf(b_is_defined,hypothesis,
% 0.56/0.90 defined(b) ).
% 0.56/0.90
% 0.56/0.90 cnf(c_is_defined,hypothesis,
% 0.56/0.90 defined(c) ).
% 0.56/0.90
% 0.56/0.90 cnf(d_is_defined,hypothesis,
% 0.56/0.90 defined(d) ).
% 0.56/0.90
% 0.56/0.90 cnf(k_is_defined,hypothesis,
% 0.56/0.90 defined(k) ).
% 0.56/0.90
% 0.56/0.90 cnf(s_is_defined,hypothesis,
% 0.56/0.90 defined(s) ).
% 0.56/0.90
% 0.56/0.90 cnf(not_sum_7,negated_conjecture,
% 0.56/0.90 ~ sum(additive_identity,b,additive_identity) ).
% 0.56/0.90
% 0.56/0.90 cnf(not_sum_8,negated_conjecture,
% 0.56/0.90 ~ sum(additive_identity,d,additive_identity) ).
% 0.56/0.90
% 0.56/0.90 cnf(product_9,negated_conjecture,
% 0.56/0.90 product(a,multiplicative_inverse(b),s) ).
% 0.56/0.90
% 0.56/0.90 cnf(product_10,negated_conjecture,
% 0.56/0.90 product(a,d,k) ).
% 0.56/0.90
% 0.56/0.90 cnf(product_11,negated_conjecture,
% 0.56/0.90 product(b,c,k) ).
% 0.56/0.90
% 0.56/0.90 cnf(not_product_12,negated_conjecture,
% 0.56/0.90 ~ product(c,multiplicative_inverse(d),s) ).
% 0.56/0.90
% 0.56/0.90 %--------------------------------------------------------------------------
% 0.56/0.90 %-------------------------------------------
% 0.56/0.90 % Proof found
% 0.56/0.90 % SZS status Theorem for theBenchmark
% 0.56/0.90 % SZS output start Proof
% 0.56/0.90 %ClaNum:38(EqnAxiom:0)
% 0.56/0.90 %VarNum:162(SingletonVarNum:73)
% 0.56/0.90 %MaxLitNum:5
% 0.56/0.90 %MaxfuncDepth:1
% 0.56/0.90 %SharedTerms:25
% 0.56/0.90 %goalClause: 9 10 11 13 14 15
% 0.56/0.90 %singleGoalClaCount:6
% 0.56/0.90 [1]P1(a1)
% 0.56/0.90 [2]P1(a4)
% 0.56/0.90 [3]P1(a2)
% 0.56/0.90 [4]P1(a5)
% 0.56/0.90 [5]P1(a7)
% 0.56/0.90 [6]P1(a8)
% 0.56/0.90 [7]P1(a9)
% 0.56/0.90 [8]P1(a10)
% 0.56/0.90 [9]P2(a2,a8,a9)
% 0.56/0.90 [10]P2(a5,a7,a9)
% 0.56/0.90 [12]~P4(a1,a1,a4)
% 0.56/0.90 [13]~P4(a1,a5,a1)
% 0.56/0.90 [14]~P4(a1,a8,a1)
% 0.56/0.90 [11]P2(a2,f11(a5),a10)
% 0.56/0.90 [15]~P2(a7,f11(a8),a10)
% 0.56/0.90 [21]~P1(x211)+P4(a1,x211,x211)
% 0.56/0.90 [22]~P1(x221)+P2(a4,x221,x221)
% 0.56/0.90 [16]~P1(x161)+P1(f6(x161))
% 0.56/0.90 [23]~P1(x231)+P4(f6(x231),x231,a1)
% 0.56/0.90 [30]~P4(x302,x301,x303)+P4(x301,x302,x303)
% 0.56/0.90 [31]~P2(x312,x311,x313)+P2(x311,x312,x313)
% 0.56/0.90 [24]~P1(x241)+P4(a1,x241,a1)+P1(f11(x241))
% 0.56/0.90 [28]~P1(x281)+P2(f11(x281),x281,a4)+P4(a1,x281,a1)
% 0.56/0.90 [27]~P3(x272,x271)+~P3(x271,x272)+P4(a1,x271,x272)
% 0.56/0.90 [18]~P1(x182)+~P1(x181)+P1(f3(x181,x182))
% 0.56/0.90 [19]~P1(x192)+~P1(x191)+P1(f12(x191,x192))
% 0.56/0.90 [25]~P1(x252)+~P1(x251)+P4(x251,x252,f3(x251,x252))
% 0.56/0.90 [26]~P1(x262)+~P1(x261)+P2(x261,x262,f12(x261,x262))
% 0.56/0.90 [20]~P3(x201,x203)+P3(x201,x202)+~P3(x203,x202)
% 0.56/0.90 [17]P3(x172,x171)+~P1(x171)+~P1(x172)+P3(x171,x172)
% 0.56/0.90 [29]~P2(x293,x292,x291)+P3(a1,x291)+~P3(a1,x292)+~P3(a1,x293)
% 0.56/0.90 [32]~P4(x323,x325,x321)+P3(x321,x322)+~P4(x324,x325,x322)+~P3(x323,x324)
% 0.56/0.90 [33]~P4(x331,x336,x334)+P4(x331,x332,x333)+~P4(x334,x335,x333)+~P4(x336,x335,x332)
% 0.56/0.90 [34]~P4(x346,x344,x341)+P4(x341,x342,x343)+~P4(x344,x342,x345)+~P4(x346,x345,x343)
% 0.56/0.90 [35]~P2(x351,x356,x354)+P2(x351,x352,x353)+~P2(x354,x355,x353)+~P2(x356,x355,x352)
% 0.56/0.90 [36]~P2(x366,x364,x361)+P2(x361,x362,x363)+~P2(x364,x362,x365)+~P2(x366,x365,x363)
% 0.56/0.90 [37]~P2(x375,x377,x372)+~P2(x374,x377,x371)+P4(x371,x372,x373)+~P4(x374,x375,x376)+~P2(x376,x377,x373)
% 0.56/0.90 [38]~P2(x387,x382,x385)+~P2(x386,x382,x384)+P2(x381,x382,x383)+~P4(x384,x385,x383)+~P4(x386,x387,x381)
% 0.56/0.91 %EqnAxiom
% 0.56/0.91
% 0.56/0.91 %-------------------------------------------
% 0.56/0.91 cnf(39,plain,
% 0.56/0.91 (~P2(f11(a8),a7,a10)),
% 0.56/0.91 inference(scs_inference,[],[15,31])).
% 0.56/0.91 cnf(40,plain,
% 0.56/0.91 (~P4(a5,a1,a1)),
% 0.56/0.91 inference(scs_inference,[],[13,15,31,30])).
% 0.56/0.91 cnf(41,plain,
% 0.56/0.91 (P3(a1,a1)),
% 0.56/0.91 inference(scs_inference,[],[13,1,15,31,30,17])).
% 0.56/0.91 cnf(42,plain,
% 0.56/0.91 (P2(a4,a1,a1)),
% 0.56/0.91 inference(scs_inference,[],[13,1,15,31,30,17,22])).
% 0.56/0.91 cnf(44,plain,
% 0.56/0.91 (P4(a1,a1,a1)),
% 0.56/0.91 inference(scs_inference,[],[13,1,15,31,30,17,22,21])).
% 0.56/0.91 cnf(46,plain,
% 0.56/0.91 (P4(f6(a1),a1,a1)),
% 0.56/0.91 inference(scs_inference,[],[13,1,15,31,30,17,22,21,23])).
% 0.56/0.91 cnf(48,plain,
% 0.56/0.91 (P1(f6(a1))),
% 0.56/0.91 inference(scs_inference,[],[13,1,15,31,30,17,22,21,23,16])).
% 0.56/0.91 cnf(50,plain,
% 0.56/0.91 (P2(f11(a5),a5,a4)),
% 0.56/0.91 inference(scs_inference,[],[13,1,4,15,31,30,17,22,21,23,16,28])).
% 0.56/0.91 cnf(52,plain,
% 0.56/0.91 (P2(a1,a1,f12(a1,a1))),
% 0.56/0.91 inference(scs_inference,[],[13,1,4,15,31,30,17,22,21,23,16,28,26])).
% 0.56/0.91 cnf(54,plain,
% 0.56/0.91 (P4(a1,a1,f3(a1,a1))),
% 0.56/0.91 inference(scs_inference,[],[13,1,4,15,31,30,17,22,21,23,16,28,26,25])).
% 0.56/0.91 cnf(64,plain,
% 0.56/0.91 (P2(a4,f12(a1,a1),f12(a1,a1))),
% 0.56/0.91 inference(scs_inference,[],[9,13,1,4,15,31,30,17,22,21,23,16,28,26,25,24,19,18,36,35])).
% 0.56/0.91 cnf(66,plain,
% 0.56/0.91 (~P4(a1,a1,a5)),
% 0.56/0.91 inference(scs_inference,[],[9,13,1,4,15,31,30,17,22,21,23,16,28,26,25,24,19,18,36,35,33])).
% 0.56/0.91 cnf(70,plain,
% 0.56/0.91 (P3(a1,f12(a1,a1))),
% 0.56/0.91 inference(scs_inference,[],[9,13,1,4,15,31,30,17,22,21,23,16,28,26,25,24,19,18,36,35,33,32,29])).
% 0.56/0.91 cnf(72,plain,
% 0.56/0.91 (P4(f12(a1,a1),f12(a1,a1),f12(a1,a1))),
% 0.56/0.91 inference(scs_inference,[],[9,13,1,4,15,31,30,17,22,21,23,16,28,26,25,24,19,18,36,35,33,32,29,37])).
% 0.56/0.91 cnf(74,plain,
% 0.56/0.91 (P4(a1,f3(a1,a1),f3(a1,a1))),
% 0.56/0.91 inference(scs_inference,[],[9,13,1,4,15,31,30,17,22,21,23,16,28,26,25,24,19,18,36,35,33,32,29,37,27])).
% 0.56/0.91 cnf(81,plain,
% 0.56/0.91 (P2(a8,a2,a9)),
% 0.56/0.91 inference(scs_inference,[],[9,46,40,34,31])).
% 0.56/0.91 cnf(83,plain,
% 0.56/0.91 (P2(a4,a4,f12(a4,a4))),
% 0.56/0.91 inference(scs_inference,[],[9,2,46,40,34,31,26])).
% 0.56/0.91 cnf(85,plain,
% 0.56/0.91 (P4(a4,a4,f3(a4,a4))),
% 0.56/0.91 inference(scs_inference,[],[9,2,46,40,34,31,26,25])).
% 0.56/0.91 cnf(89,plain,
% 0.56/0.91 (P2(f11(a8),a8,a4)),
% 0.56/0.91 inference(scs_inference,[],[9,2,6,14,46,40,34,31,26,25,19,28])).
% 0.56/0.91 cnf(97,plain,
% 0.56/0.91 (P4(f3(a1,a1),a1,f3(a1,a1))),
% 0.56/0.91 inference(scs_inference,[],[9,2,6,14,72,74,64,46,40,34,31,26,25,19,28,24,18,38,30])).
% 0.56/0.91 cnf(109,plain,
% 0.56/0.91 (~P3(f12(a1,a1),a4)+~P2(x1091,a2,a2)+P2(x1091,a9,a9)),
% 0.56/0.91 inference(scs_inference,[],[9,2,6,14,12,72,44,74,64,70,46,40,34,31,26,25,19,28,24,18,38,30,33,20,27,36,29,35])).
% 0.56/0.91 cnf(115,plain,
% 0.56/0.91 (~P4(a8,a1,a1)),
% 0.56/0.91 inference(scs_inference,[],[14,30])).
% 0.56/0.91 cnf(117,plain,
% 0.56/0.91 (P4(f6(a1),f3(a1,a1),f3(a1,a1))),
% 0.56/0.91 inference(scs_inference,[],[14,54,46,30,33])).
% 0.56/0.91 cnf(121,plain,
% 0.56/0.91 (P2(a7,a5,a9)),
% 0.56/0.91 inference(scs_inference,[],[10,14,54,85,46,30,33,34,31])).
% 0.56/0.91 cnf(123,plain,
% 0.56/0.91 (~P2(f3(a4,a4),a1,a4)),
% 0.56/0.91 inference(scs_inference,[],[10,12,14,54,85,42,46,30,33,34,31,37])).
% 0.56/0.91 cnf(124,plain,
% 0.56/0.91 (~P2(x1241,x1242,x1243)+P4(x1243,x1244,x1245)+~P2(x1246,x1242,x1245)+~P2(x1247,x1242,x1244)+~P4(x1241,x1247,x1246)),
% 0.56/0.91 inference(rename_variables,[],[37])).
% 0.56/0.91 cnf(127,plain,
% 0.56/0.91 (~P3(a1,a4)+~P3(a4,a1)+~P2(a1,x1271,a1)+~P2(f3(a1,a1),x1271,f3(a1,a1))),
% 0.56/0.91 inference(scs_inference,[],[10,12,14,97,54,85,42,46,30,33,34,31,37,38,27])).
% 0.56/0.91 cnf(129,plain,
% 0.56/0.91 (~P2(a1,x1291,a1)+P2(a9,x1292,a9)+~P2(f3(a1,a1),x1291,f3(a1,a1))+~P2(a7,x1292,a7)),
% 0.56/0.91 inference(scs_inference,[],[10,12,14,97,54,85,42,46,30,33,34,31,37,38,27,36])).
% 0.56/0.91 cnf(131,plain,
% 0.56/0.91 (~P2(x1311,f11(a5),a7)+~P2(f11(a8),x1311,a2)+~P2(a1,x1312,a1)+~P2(f3(a1,a1),x1312,f3(a1,a1))),
% 0.56/0.91 inference(scs_inference,[],[10,39,11,12,14,97,54,85,42,46,30,33,34,31,37,38,27,36,35])).
% 0.56/0.91 cnf(133,plain,
% 0.56/0.91 (~P4(a5,a5,a5)+~P2(a1,x1331,a1)+P4(a9,a9,a9)+~P2(f3(a1,a1),x1331,f3(a1,a1))),
% 0.56/0.91 inference(scs_inference,[],[10,39,11,12,14,97,54,85,42,46,30,33,34,31,37,38,27,36,35,124])).
% 0.56/0.91 cnf(135,plain,
% 0.56/0.91 (~P3(a4,a4)+~P2(a1,x1351,a1)+~P2(f3(a1,a1),x1351,f3(a1,a1))+P3(f3(a4,a4),f3(a4,a4))),
% 0.56/0.91 inference(scs_inference,[],[10,39,11,12,14,97,54,85,42,46,30,33,34,31,37,38,27,36,35,124,32])).
% 0.56/0.91 cnf(141,plain,
% 0.56/0.91 (~P2(f3(a4,a4),a1,a5)),
% 0.56/0.91 inference(scs_inference,[],[66,117,123,42,85,30,31,37])).
% 0.56/0.91 cnf(143,plain,
% 0.56/0.91 (~P4(f6(a1),f6(a1),x1431)+P4(x1431,f3(a1,a1),f3(a1,a1))),
% 0.56/0.91 inference(scs_inference,[],[66,117,123,42,85,30,31,37,34])).
% 0.56/0.91 cnf(147,plain,
% 0.56/0.91 (~P2(x1471,a5,a5)+P2(x1471,a9,a9)),
% 0.56/0.91 inference(scs_inference,[],[10,66,117,123,52,54,42,72,85,30,31,37,34,38,35])).
% 0.56/0.91 cnf(157,plain,
% 0.56/0.91 (P2(a4,a2,a2)),
% 0.56/0.91 inference(scs_inference,[],[11,3,31,22])).
% 0.56/0.91 cnf(159,plain,
% 0.56/0.91 (P4(f6(a2),a2,a1)),
% 0.56/0.91 inference(scs_inference,[],[11,3,31,22,23])).
% 0.56/0.91 cnf(165,plain,
% 0.56/0.91 (P4(a1,a2,a2)),
% 0.56/0.91 inference(scs_inference,[],[11,3,31,22,23,16,17,21])).
% 0.56/0.91 cnf(167,plain,
% 0.56/0.91 (P4(a1,f6(a1),a1)),
% 0.56/0.91 inference(scs_inference,[],[11,3,46,31,22,23,16,17,21,30])).
% 0.56/0.91 cnf(169,plain,
% 0.56/0.91 (P2(f11(a8),a9,a2)),
% 0.56/0.91 inference(scs_inference,[],[11,3,89,81,46,31,22,23,16,17,21,30,35])).
% 0.56/0.91 cnf(171,plain,
% 0.56/0.91 (~P4(a5,f6(a2),f6(a2))),
% 0.56/0.91 inference(scs_inference,[],[11,3,40,89,81,46,31,22,23,16,17,21,30,35,33])).
% 0.56/0.91 cnf(173,plain,
% 0.56/0.91 (P2(f12(a4,a4),f12(a1,a1),f12(a1,a1))),
% 0.56/0.91 inference(scs_inference,[],[11,3,40,83,89,81,64,46,31,22,23,16,17,21,30,35,33,36])).
% 0.56/0.91 cnf(175,plain,
% 0.56/0.91 (~P2(f3(a1,a1),x1751,f3(a1,a1))+~P2(a9,f11(a5),a7)+~P2(a1,x1751,a1)),
% 0.56/0.91 inference(scs_inference,[],[11,3,40,83,89,81,64,46,31,22,23,16,17,21,30,35,33,36,131])).
% 0.56/0.91 cnf(181,plain,
% 0.56/0.91 (~P4(x1811,x1812,a7)+~P4(x1813,x1814,a10)+~P2(x1812,f11(a8),x1814)+~P2(x1811,f11(a8),x1813)),
% 0.56/0.91 inference(scs_inference,[],[11,3,40,15,83,89,81,97,64,46,70,31,22,23,16,17,21,30,35,33,36,131,29,34,38])).
% 0.56/0.91 cnf(193,plain,
% 0.56/0.91 (~P4(f3(a1,a1),f6(a1),a4)),
% 0.56/0.91 inference(scs_inference,[],[12,171,141,167,54,31,30,33])).
% 0.56/0.91 cnf(195,plain,
% 0.56/0.91 (P2(f3(a4,a4),a1,a1)),
% 0.56/0.91 inference(scs_inference,[],[12,171,141,167,44,54,42,85,31,30,33,38])).
% 0.56/0.91 cnf(197,plain,
% 0.56/0.91 (P2(a4,a10,a10)),
% 0.56/0.91 inference(scs_inference,[],[11,12,157,171,141,167,44,54,42,85,31,30,33,38,35])).
% 0.56/0.91 cnf(201,plain,
% 0.56/0.91 (P4(a7,a7,f3(a7,a7))),
% 0.56/0.91 inference(scs_inference,[],[11,5,12,157,171,141,167,44,54,42,85,31,30,33,38,35,109,25])).
% 0.56/0.91 cnf(203,plain,
% 0.56/0.91 (P2(a7,a7,f12(a7,a7))),
% 0.56/0.91 inference(scs_inference,[],[11,5,12,157,171,141,167,44,54,42,85,31,30,33,38,35,109,25,26])).
% 0.56/0.91 cnf(227,plain,
% 0.56/0.91 (P4(a9,a9,f3(a9,a9))),
% 0.56/0.91 inference(scs_inference,[],[7,25])).
% 0.56/0.91 cnf(239,plain,
% 0.56/0.91 (P4(a2,a1,a2)),
% 0.56/0.91 inference(scs_inference,[],[7,173,121,201,165,25,19,26,18,31,38,30])).
% 0.56/0.91 cnf(241,plain,
% 0.56/0.91 (~P4(a8,f6(a2),f6(a2))),
% 0.56/0.91 inference(scs_inference,[],[7,173,115,121,201,165,159,25,19,26,18,31,38,30,33])).
% 0.56/0.91 cnf(243,plain,
% 0.56/0.91 (P2(f12(a4,a4),a2,a2)),
% 0.56/0.91 inference(scs_inference,[],[7,173,115,121,201,165,83,159,157,25,19,26,18,31,38,30,33,36])).
% 0.56/0.91 cnf(245,plain,
% 0.56/0.91 (~P2(a4,a1,a5)),
% 0.56/0.91 inference(scs_inference,[],[13,7,173,115,121,195,201,165,83,159,157,42,85,25,19,26,18,31,38,30,33,36,37])).
% 0.56/0.91 cnf(251,plain,
% 0.56/0.91 (~P4(f6(a2),a2,a5)),
% 0.56/0.91 inference(scs_inference,[],[40,239,159,34])).
% 0.56/0.91 cnf(253,plain,
% 0.56/0.91 (~P2(a1,a4,a5)),
% 0.56/0.91 inference(scs_inference,[],[40,239,245,159,34,31])).
% 0.56/0.91 cnf(255,plain,
% 0.56/0.91 (P2(f12(a4,a4),a9,a9)),
% 0.56/0.91 inference(scs_inference,[],[40,243,239,245,159,9,34,31,35])).
% 0.56/0.91 cnf(259,plain,
% 0.56/0.91 (P4(f6(a1),a2,a2)),
% 0.56/0.91 inference(scs_inference,[],[40,193,243,239,245,165,159,46,9,34,31,35,30,33])).
% 0.56/0.91 cnf(274,plain,
% 0.56/0.91 (~P4(f6(a1),a8,f6(a1))),
% 0.56/0.91 inference(scs_inference,[],[14,167,34])).
% 0.56/0.91 cnf(276,plain,
% 0.56/0.91 (P2(f3(a4,a4),a1,f3(a1,a1))),
% 0.56/0.91 inference(scs_inference,[],[14,42,167,54,85,34,38])).
% 0.56/0.91 cnf(278,plain,
% 0.56/0.91 (P2(a1,a4,a1)),
% 0.56/0.91 inference(scs_inference,[],[14,42,167,54,85,34,38,31])).
% 0.56/0.91 cnf(280,plain,
% 0.56/0.91 (P4(a2,f6(a1),a2)),
% 0.56/0.91 inference(scs_inference,[],[14,42,259,167,54,85,34,38,31,30])).
% 0.56/0.91 cnf(284,plain,
% 0.56/0.91 (~P2(f12(a4,a4),a1,a5)),
% 0.56/0.91 inference(scs_inference,[],[14,42,259,245,167,83,54,85,34,38,31,30,36,35])).
% 0.56/0.91 cnf(286,plain,
% 0.56/0.91 (~P2(f3(a1,a1),a4,f3(a1,a1))+~P2(a9,f11(a5),a7)),
% 0.56/0.91 inference(scs_inference,[],[14,42,259,245,167,83,54,85,34,38,31,30,36,35,175])).
% 0.56/0.91 cnf(288,plain,
% 0.56/0.91 (P2(a4,a5,a5)),
% 0.56/0.91 inference(scs_inference,[],[14,4,42,259,245,167,83,54,85,34,38,31,30,36,35,175,22])).
% 0.56/0.91 cnf(292,plain,
% 0.56/0.91 (P4(f6(a10),a10,a1)),
% 0.56/0.91 inference(scs_inference,[],[14,8,4,42,259,245,167,83,54,85,34,38,31,30,36,35,175,22,16,23])).
% 0.56/0.91 cnf(294,plain,
% 0.56/0.91 (P4(a1,a10,a10)),
% 0.56/0.91 inference(scs_inference,[],[14,8,4,42,259,245,167,83,54,85,34,38,31,30,36,35,175,22,16,23,21])).
% 0.56/0.91 cnf(296,plain,
% 0.56/0.91 (~P4(a5,f6(a10),f6(a10))),
% 0.56/0.92 inference(scs_inference,[],[14,8,4,40,42,259,245,167,83,54,85,34,38,31,30,36,35,175,22,16,23,21,33])).
% 0.56/0.92 cnf(304,plain,
% 0.56/0.92 (P3(a10,a10)),
% 0.56/0.92 inference(scs_inference,[],[14,8,4,40,42,259,245,167,83,54,85,34,38,31,30,36,35,175,22,16,23,21,33,133,129,127,17])).
% 0.56/0.92 cnf(308,plain,
% 0.56/0.92 (P2(a4,a9,a9)),
% 0.56/0.92 inference(scs_inference,[],[288,147])).
% 0.56/0.92 cnf(312,plain,
% 0.56/0.92 (~P4(a8,f6(a1),f6(a1))),
% 0.56/0.92 inference(scs_inference,[],[14,274,292,288,147,34,30])).
% 0.56/0.92 cnf(314,plain,
% 0.56/0.92 (~P2(f3(a1,a1),a4,a4)),
% 0.56/0.92 inference(scs_inference,[],[14,274,276,292,278,288,123,147,34,30,35])).
% 0.56/0.92 cnf(324,plain,
% 0.56/0.92 (~P2(a9,f11(a5),a7)),
% 0.56/0.92 inference(scs_inference,[],[14,274,276,284,292,278,288,123,167,147,34,30,35,31,33,36,37,286])).
% 0.56/0.92 cnf(325,plain,
% 0.56/0.92 (P3(f3(a4,a4),f3(a4,a4))+~P3(a4,a4)),
% 0.56/0.92 inference(scs_inference,[],[14,274,276,284,292,278,288,123,167,147,34,30,35,31,33,36,37,286,135])).
% 0.56/0.92 cnf(346,plain,
% 0.56/0.92 (~P2(a8,a10,a7)),
% 0.56/0.92 inference(scs_inference,[],[39,197,89,35])).
% 0.56/0.92 cnf(348,plain,
% 0.56/0.92 (P4(a10,a1,a10)),
% 0.56/0.92 inference(scs_inference,[],[39,197,294,89,35,30])).
% 0.56/0.92 cnf(352,plain,
% 0.56/0.92 (P2(f3(a4,a4),a9,f3(a9,a9))),
% 0.56/0.92 inference(scs_inference,[],[39,308,197,251,294,280,89,227,159,85,35,30,33,38])).
% 0.56/0.92 cnf(354,plain,
% 0.56/0.92 (P2(a9,a4,a9)),
% 0.56/0.92 inference(scs_inference,[],[39,308,197,251,294,280,89,227,159,85,35,30,33,38,31])).
% 0.56/0.92 cnf(356,plain,
% 0.56/0.92 (~P2(a1,a4,a4)),
% 0.56/0.92 inference(scs_inference,[],[44,39,12,308,197,251,294,280,89,227,159,278,85,35,30,33,38,31,37])).
% 0.56/0.92 cnf(358,plain,
% 0.56/0.92 (P4(a8,a8,f3(a8,a8))),
% 0.56/0.92 inference(scs_inference,[],[6,44,39,12,308,197,251,294,280,89,227,159,278,85,35,30,33,38,31,37,25])).
% 0.56/0.92 cnf(366,plain,
% 0.56/0.92 (P3(a8,a8)),
% 0.56/0.92 inference(scs_inference,[],[6,44,39,12,308,197,251,294,280,89,227,159,278,85,35,30,33,38,31,37,25,19,18,26,17])).
% 0.56/0.92 cnf(378,plain,
% 0.56/0.92 (P4(a5,a5,f3(a5,a5))),
% 0.56/0.92 inference(scs_inference,[],[4,25])).
% 0.56/0.92 cnf(386,plain,
% 0.56/0.92 (P4(a1,a8,a8)),
% 0.56/0.92 inference(scs_inference,[],[4,366,25,18,26,19,27])).
% 0.56/0.92 cnf(396,plain,
% 0.56/0.92 (P4(a1,f3(a8,a8),f3(a8,a8))),
% 0.56/0.92 inference(scs_inference,[],[4,40,366,348,241,314,358,50,81,292,227,25,18,26,19,27,34,35,38,30,33])).
% 0.56/0.92 cnf(398,plain,
% 0.56/0.92 (~P2(f11(a5),a9,a7)),
% 0.56/0.92 inference(scs_inference,[],[4,40,324,366,348,241,314,358,50,81,292,227,25,18,26,19,27,34,35,38,30,33,31])).
% 0.56/0.92 cnf(412,plain,
% 0.56/0.92 (P4(a8,a1,a8)),
% 0.56/0.92 inference(scs_inference,[],[41,46,44,12,386,356,396,89,32,34,35,30])).
% 0.56/0.92 cnf(416,plain,
% 0.56/0.92 (P2(a9,f12(a4,a4),a9)),
% 0.56/0.92 inference(scs_inference,[],[41,46,44,12,255,386,356,396,274,89,32,34,35,30,33,31])).
% 0.56/0.92 cnf(420,plain,
% 0.56/0.92 (P4(f6(a9),a9,a1)),
% 0.56/0.92 inference(scs_inference,[],[41,7,46,44,12,255,386,356,396,274,89,32,34,35,30,33,31,16,23])).
% 0.56/0.92 cnf(422,plain,
% 0.56/0.92 (P2(a4,a4,a4)),
% 0.56/0.92 inference(scs_inference,[],[41,7,46,44,2,12,255,386,356,396,274,89,32,34,35,30,33,31,16,23,22])).
% 0.56/0.92 cnf(424,plain,
% 0.56/0.92 (P4(a1,a9,a9)),
% 0.56/0.92 inference(scs_inference,[],[41,7,46,44,2,12,255,386,356,396,274,89,32,34,35,30,33,31,16,23,22,21])).
% 0.56/0.92 cnf(447,plain,
% 0.56/0.92 (P4(a10,a10,f3(a10,a10))),
% 0.56/0.92 inference(scs_inference,[],[8,25])).
% 0.56/0.92 cnf(449,plain,
% 0.56/0.92 (~P4(a9,a5,a9)),
% 0.56/0.92 inference(scs_inference,[],[8,420,13,25,34])).
% 0.56/0.92 cnf(461,plain,
% 0.56/0.92 (P2(f3(a9,a9),f12(a4,a4),f3(a9,a9))),
% 0.56/0.92 inference(scs_inference,[],[8,44,12,346,352,296,416,378,420,422,288,245,54,13,85,25,34,30,35,38,33,31,36])).
% 0.56/0.92 cnf(465,plain,
% 0.56/0.92 (P3(a7,a7)),
% 0.56/0.92 inference(scs_inference,[],[8,44,5,12,346,352,296,416,378,420,422,115,288,245,54,278,13,85,25,34,30,35,38,33,31,36,37,17])).
% 0.56/0.92 cnf(499,plain,
% 0.56/0.92 (P3(a4,a4)),
% 0.56/0.92 inference(scs_inference,[],[2,48,39,46,40,461,354,465,169,447,424,449,253,304,348,50,203,280,288,9,25,32,27,34,35,30,33,31,36,37,38,143,181,17])).
% 0.56/0.92 cnf(501,plain,
% 0.56/0.92 (P3(f3(a4,a4),f3(a4,a4))),
% 0.56/0.92 inference(scs_inference,[],[499,325])).
% 0.56/0.92 cnf(542,plain,
% 0.56/0.92 (~P2(a4,a7,a7)),
% 0.56/0.92 inference(scs_inference,[],[3,50,41,501,312,398,412,424,10,167,19,18,26,32,27,34,35])).
% 0.56/0.92 cnf(570,plain,
% 0.56/0.92 ($false),
% 0.56/0.92 inference(scs_inference,[],[5,542,22]),
% 0.56/0.92 ['proof']).
% 0.56/0.92 % SZS output end Proof
% 0.56/0.92 % Total time :0.270000s
%------------------------------------------------------------------------------