TSTP Solution File: MGT054-1 by CSE---1.6
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- Process Solution
%------------------------------------------------------------------------------
% File : CSE---1.6
% Problem : MGT054-1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% Computer : n010.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 09:07:04 EDT 2023
% Result : Unsatisfiable 1.27s 1.39s
% Output : CNFRefutation 1.27s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : MGT054-1 : TPTP v8.1.2. Released v2.4.0.
% 0.13/0.13 % Command : java -jar /export/starexec/sandbox2/solver/bin/mcs_scs.jar %s %d
% 0.13/0.34 % Computer : n010.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 06:28:19 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.19/0.58 start to proof:theBenchmark
% 1.27/1.38 %-------------------------------------------
% 1.27/1.38 % File :CSE---1.6
% 1.27/1.38 % Problem :theBenchmark
% 1.27/1.38 % Transform :cnf
% 1.27/1.38 % Format :tptp:raw
% 1.27/1.38 % Command :java -jar mcs_scs.jar %d %s
% 1.27/1.38
% 1.27/1.38 % Result :Theorem 0.760000s
% 1.27/1.38 % Output :CNFRefutation 0.760000s
% 1.27/1.38 %-------------------------------------------
% 1.27/1.39 %--------------------------------------------------------------------------
% 1.27/1.39 % File : MGT054-1 : TPTP v8.1.2. Released v2.4.0.
% 1.27/1.39 % Domain : Management (Organisation Theory)
% 1.27/1.39 % Problem : Hazard of mortality increases in a drifting environment
% 1.27/1.39 % Version : [Han98] axioms.
% 1.27/1.39 % English : An unendowed organization's hazard of mortality increases with
% 1.27/1.39 % age in a drifting environment.
% 1.27/1.39
% 1.27/1.39 % Refs : [Kam00] Kamps (2000), Email to G. Sutcliffe
% 1.27/1.39 % : [CH00] Carroll & Hannan (2000), The Demography of Corporation
% 1.27/1.39 % : [Han98] Hannan (1998), Rethinking Age Dependence in Organizati
% 1.27/1.39 % Source : [TPTP]
% 1.27/1.39 % Names :
% 1.27/1.39
% 1.27/1.39 % Status : Unsatisfiable
% 1.27/1.39 % Rating : 0.10 v8.1.0, 0.00 v7.5.0, 0.05 v7.4.0, 0.06 v7.3.0, 0.08 v7.1.0, 0.00 v7.0.0, 0.13 v6.4.0, 0.07 v6.3.0, 0.09 v6.2.0, 0.00 v6.1.0, 0.07 v6.0.0, 0.00 v5.5.0, 0.05 v5.4.0, 0.10 v5.3.0, 0.06 v5.0.0, 0.00 v4.0.1, 0.09 v4.0.0, 0.00 v3.3.0, 0.07 v3.2.0, 0.15 v3.1.0, 0.09 v2.7.0, 0.08 v2.6.0, 0.00 v2.5.0, 0.11 v2.4.0
% 1.27/1.39 % Syntax : Number of clauses : 32 ( 7 unt; 11 nHn; 25 RR)
% 1.27/1.39 % Number of literals : 84 ( 9 equ; 43 neg)
% 1.27/1.39 % Maximal clause size : 5 ( 2 avg)
% 1.27/1.39 % Maximal term depth : 2 ( 1 avg)
% 1.27/1.39 % Number of predicates : 10 ( 9 usr; 0 prp; 1-3 aty)
% 1.27/1.39 % Number of functors : 9 ( 9 usr; 6 con; 0-2 aty)
% 1.27/1.39 % Number of variables : 63 ( 5 sgn)
% 1.27/1.39 % SPC : CNF_UNS_RFO_SEQ_NHN
% 1.27/1.39
% 1.27/1.39 % Comments : See MGT042+1.p for the mnemonic names.
% 1.27/1.39 % : Created with tptp2X -f tptp -t clausify:otter MGT054+1.p
% 1.27/1.39 %--------------------------------------------------------------------------
% 1.27/1.39 include('Axioms/MGT001-0.ax').
% 1.27/1.39 %--------------------------------------------------------------------------
% 1.27/1.39 cnf(assumption_1_38,axiom,
% 1.27/1.39 ( ~ organization(A)
% 1.27/1.39 | has_endowment(A)
% 1.27/1.39 | ~ has_immunity(A,B) ) ).
% 1.27/1.39
% 1.27/1.39 cnf(assumption_3_39,axiom,
% 1.27/1.39 ( ~ organization(A)
% 1.27/1.39 | ~ has_immunity(A,B)
% 1.27/1.39 | has_immunity(A,C)
% 1.27/1.39 | greater(hazard_of_mortality(A,C),hazard_of_mortality(A,B)) ) ).
% 1.27/1.39
% 1.27/1.39 cnf(definition_2_40,axiom,
% 1.27/1.39 ( ~ dissimilar(A,B,C)
% 1.27/1.39 | organization(A) ) ).
% 1.27/1.39
% 1.27/1.39 cnf(definition_2_41,axiom,
% 1.27/1.39 ( ~ dissimilar(A,B,C)
% 1.27/1.39 | is_aligned(A,B)
% 1.27/1.39 | is_aligned(A,C) ) ).
% 1.27/1.39
% 1.27/1.39 cnf(definition_2_42,axiom,
% 1.27/1.39 ( ~ dissimilar(A,B,C)
% 1.27/1.39 | ~ is_aligned(A,B)
% 1.27/1.39 | ~ is_aligned(A,C) ) ).
% 1.27/1.39
% 1.27/1.39 cnf(definition_2_43,axiom,
% 1.27/1.39 ( ~ organization(A)
% 1.27/1.39 | ~ is_aligned(A,B)
% 1.27/1.39 | is_aligned(A,B)
% 1.27/1.39 | dissimilar(A,B,C) ) ).
% 1.27/1.39
% 1.27/1.39 cnf(definition_2_44,axiom,
% 1.27/1.39 ( ~ organization(A)
% 1.27/1.39 | ~ is_aligned(A,B)
% 1.27/1.39 | is_aligned(A,C)
% 1.27/1.39 | dissimilar(A,B,C) ) ).
% 1.27/1.39
% 1.27/1.39 cnf(definition_2_45,axiom,
% 1.27/1.39 ( ~ organization(A)
% 1.27/1.39 | ~ is_aligned(A,B)
% 1.27/1.39 | is_aligned(A,C)
% 1.27/1.39 | dissimilar(A,C,B) ) ).
% 1.27/1.39
% 1.27/1.39 cnf(definition_2_46,axiom,
% 1.27/1.39 ( ~ organization(A)
% 1.27/1.39 | ~ is_aligned(A,B)
% 1.27/1.39 | is_aligned(A,B)
% 1.27/1.39 | dissimilar(A,C,B) ) ).
% 1.27/1.39
% 1.27/1.39 cnf(assumption_13_47,axiom,
% 1.27/1.39 ( ~ organization(A)
% 1.27/1.39 | age(A,B) != zero
% 1.27/1.39 | is_aligned(A,B) ) ).
% 1.27/1.39
% 1.27/1.39 cnf(assumption_14_48,axiom,
% 1.27/1.39 ( ~ organization(A)
% 1.27/1.39 | ~ is_aligned(A,B)
% 1.27/1.39 | is_aligned(A,C)
% 1.27/1.39 | greater(capability(A,B),capability(A,C)) ) ).
% 1.27/1.39
% 1.27/1.39 cnf(assumption_15_49,axiom,
% 1.27/1.39 ( ~ organization(A)
% 1.27/1.39 | age(A,B) != zero
% 1.27/1.39 | ~ greater(age(A,C),sigma)
% 1.27/1.39 | dissimilar(A,B,C) ) ).
% 1.27/1.39
% 1.27/1.39 cnf(assumption_15_50,axiom,
% 1.27/1.39 ( ~ organization(A)
% 1.27/1.39 | age(A,B) != zero
% 1.27/1.39 | ~ dissimilar(A,B,C)
% 1.27/1.39 | greater(age(A,C),sigma) ) ).
% 1.27/1.39
% 1.27/1.39 cnf(assumption_16_51,axiom,
% 1.27/1.39 ( ~ organization(A)
% 1.27/1.39 | has_immunity(A,B)
% 1.27/1.39 | has_immunity(A,C)
% 1.27/1.39 | ~ greater(capability(A,C),capability(A,B))
% 1.27/1.39 | greater(hazard_of_mortality(A,B),hazard_of_mortality(A,C)) ) ).
% 1.27/1.39
% 1.27/1.39 cnf(theorem_5_52,negated_conjecture,
% 1.27/1.39 organization(sk1) ).
% 1.27/1.39
% 1.27/1.39 cnf(theorem_5_53,negated_conjecture,
% 1.27/1.39 ~ has_endowment(sk1) ).
% 1.27/1.39
% 1.27/1.39 cnf(theorem_5_54,negated_conjecture,
% 1.27/1.39 age(sk1,sk2) = zero ).
% 1.27/1.39
% 1.27/1.39 cnf(theorem_5_55,negated_conjecture,
% 1.27/1.39 smaller_or_equal(age(sk1,sk3),sigma) ).
% 1.27/1.39
% 1.27/1.39 cnf(theorem_5_56,negated_conjecture,
% 1.27/1.39 greater(age(sk1,sk4),sigma) ).
% 1.27/1.39
% 1.27/1.39 cnf(theorem_5_57,negated_conjecture,
% 1.27/1.39 greater(sigma,zero) ).
% 1.27/1.39
% 1.27/1.39 cnf(theorem_5_58,negated_conjecture,
% 1.27/1.39 ~ greater(hazard_of_mortality(sk1,sk4),hazard_of_mortality(sk1,sk3)) ).
% 1.27/1.39
% 1.27/1.39 %--------------------------------------------------------------------------
% 1.27/1.39 %-------------------------------------------
% 1.27/1.39 % Proof found
% 1.27/1.39 % SZS status Theorem for theBenchmark
% 1.27/1.39 % SZS output start Proof
% 1.27/1.39 %ClaNum:56(EqnAxiom:26)
% 1.27/1.39 %VarNum:142(SingletonVarNum:57)
% 1.27/1.39 %MaxLitNum:5
% 1.27/1.39 %MaxfuncDepth:1
% 1.27/1.39 %SharedTerms:18
% 1.27/1.39 %goalClause: 27 28 29 30 31 32 33
% 1.27/1.39 %singleGoalClaCount:7
% 1.27/1.39 [27]P1(a1)
% 1.27/1.39 [29]P2(a3,a7)
% 1.27/1.39 [32]~P4(a1)
% 1.27/1.40 [28]E(f2(a1,a6),a7)
% 1.27/1.40 [30]P8(f2(a1,a8),a3)
% 1.27/1.40 [31]P2(f2(a1,a9),a3)
% 1.27/1.40 [33]~P2(f4(a1,a9),f4(a1,a8))
% 1.27/1.40 [34]~E(x341,x342)+P8(x341,x342)
% 1.27/1.40 [35]~E(x351,x352)+P5(x351,x352)
% 1.27/1.40 [38]~P9(x381,x382)+P8(x381,x382)
% 1.27/1.40 [39]~P2(x392,x391)+P9(x391,x392)
% 1.27/1.40 [40]~P2(x401,x402)+P5(x401,x402)
% 1.27/1.40 [41]~P9(x412,x411)+P2(x411,x412)
% 1.27/1.40 [45]~P2(x452,x451)+~P2(x451,x452)
% 1.27/1.40 [47]P1(x471)+~P3(x471,x472,x473)
% 1.27/1.40 [36]P9(x361,x362)+P2(x361,x362)+E(x361,x362)
% 1.27/1.40 [37]~P1(x371)+P4(x371)+~P6(x371,x372)
% 1.27/1.40 [42]P9(x421,x422)+~P8(x421,x422)+E(x421,x422)
% 1.27/1.40 [43]P2(x431,x432)+~P5(x431,x432)+E(x431,x432)
% 1.27/1.40 [44]~P1(x441)+P7(x441,x442)+~E(f2(x441,x442),a7)
% 1.27/1.40 [46]~P2(x461,x463)+P2(x461,x462)+~P2(x463,x462)
% 1.27/1.40 [52]~P3(x521,x523,x522)+P7(x521,x522)+P7(x521,x523)
% 1.27/1.40 [53]~P3(x531,x533,x532)+~P7(x531,x532)+~P7(x531,x533)
% 1.27/1.40 [48]~P1(x481)+~P7(x481,x483)+P7(x481,x482)+P3(x481,x482,x483)
% 1.27/1.40 [49]~P1(x491)+~P7(x491,x493)+P7(x491,x492)+P3(x491,x493,x492)
% 1.27/1.40 [50]~P1(x501)+~P6(x501,x503)+P6(x501,x502)+P2(f4(x501,x502),f4(x501,x503))
% 1.27/1.40 [51]~P1(x511)+~P7(x511,x513)+P7(x511,x512)+P2(f5(x511,x513),f5(x511,x512))
% 1.27/1.40 [54]~P1(x541)+P3(x541,x542,x543)+~E(f2(x541,x542),a7)+~P2(f2(x541,x543),a3)
% 1.27/1.40 [55]~P1(x551)+~P3(x551,x553,x552)+P2(f2(x551,x552),a3)+~E(f2(x551,x553),a7)
% 1.27/1.40 [56]~P1(x561)+P6(x561,x562)+P6(x561,x563)+P2(f4(x561,x563),f4(x561,x562))+~P2(f5(x561,x562),f5(x561,x563))
% 1.27/1.40 %EqnAxiom
% 1.27/1.40 [1]E(x11,x11)
% 1.27/1.40 [2]E(x22,x21)+~E(x21,x22)
% 1.27/1.40 [3]E(x31,x33)+~E(x31,x32)+~E(x32,x33)
% 1.27/1.40 [4]~E(x41,x42)+E(f2(x41,x43),f2(x42,x43))
% 1.27/1.40 [5]~E(x51,x52)+E(f2(x53,x51),f2(x53,x52))
% 1.27/1.40 [6]~E(x61,x62)+E(f5(x61,x63),f5(x62,x63))
% 1.27/1.40 [7]~E(x71,x72)+E(f5(x73,x71),f5(x73,x72))
% 1.27/1.40 [8]~E(x81,x82)+E(f4(x81,x83),f4(x82,x83))
% 1.27/1.40 [9]~E(x91,x92)+E(f4(x93,x91),f4(x93,x92))
% 1.27/1.40 [10]~P1(x101)+P1(x102)+~E(x101,x102)
% 1.27/1.40 [11]P2(x112,x113)+~E(x111,x112)+~P2(x111,x113)
% 1.27/1.40 [12]P2(x123,x122)+~E(x121,x122)+~P2(x123,x121)
% 1.27/1.40 [13]P8(x132,x133)+~E(x131,x132)+~P8(x131,x133)
% 1.27/1.40 [14]P8(x143,x142)+~E(x141,x142)+~P8(x143,x141)
% 1.27/1.40 [15]P3(x152,x153,x154)+~E(x151,x152)+~P3(x151,x153,x154)
% 1.27/1.40 [16]P3(x163,x162,x164)+~E(x161,x162)+~P3(x163,x161,x164)
% 1.27/1.40 [17]P3(x173,x174,x172)+~E(x171,x172)+~P3(x173,x174,x171)
% 1.27/1.40 [18]~P4(x181)+P4(x182)+~E(x181,x182)
% 1.27/1.40 [19]P7(x192,x193)+~E(x191,x192)+~P7(x191,x193)
% 1.27/1.40 [20]P7(x203,x202)+~E(x201,x202)+~P7(x203,x201)
% 1.27/1.40 [21]P6(x212,x213)+~E(x211,x212)+~P6(x211,x213)
% 1.27/1.40 [22]P6(x223,x222)+~E(x221,x222)+~P6(x223,x221)
% 1.27/1.40 [23]P5(x232,x233)+~E(x231,x232)+~P5(x231,x233)
% 1.27/1.40 [24]P5(x243,x242)+~E(x241,x242)+~P5(x243,x241)
% 1.27/1.40 [25]P9(x252,x253)+~E(x251,x252)+~P9(x251,x253)
% 1.27/1.40 [26]P9(x263,x262)+~E(x261,x262)+~P9(x263,x261)
% 1.27/1.40
% 1.27/1.40 %-------------------------------------------
% 1.27/1.40 cnf(57,plain,
% 1.27/1.40 (E(a7,f2(a1,a6))),
% 1.27/1.40 inference(scs_inference,[],[28,2])).
% 1.27/1.40 cnf(58,plain,
% 1.27/1.40 (~P2(a7,a3)),
% 1.27/1.40 inference(scs_inference,[],[29,28,2,45])).
% 1.27/1.40 cnf(62,plain,
% 1.27/1.40 (P2(a3,f2(a1,a6))),
% 1.27/1.40 inference(scs_inference,[],[29,28,33,2,45,41,12])).
% 1.27/1.40 cnf(64,plain,
% 1.27/1.40 (~E(f2(a1,a9),f2(a1,a6))),
% 1.27/1.40 inference(scs_inference,[],[29,28,31,33,2,45,41,12,11,3])).
% 1.27/1.40 cnf(65,plain,
% 1.27/1.40 (P2(f2(a1,a9),a7)),
% 1.27/1.40 inference(scs_inference,[],[29,28,31,33,2,45,41,12,11,3,46])).
% 1.27/1.40 cnf(67,plain,
% 1.27/1.40 (~P6(a1,x671)),
% 1.27/1.40 inference(scs_inference,[],[27,29,32,28,31,33,2,45,41,12,11,3,46,37])).
% 1.27/1.40 cnf(69,plain,
% 1.27/1.40 (P7(a1,a6)),
% 1.27/1.40 inference(scs_inference,[],[27,29,32,28,31,33,2,45,41,12,11,3,46,37,44])).
% 1.27/1.40 cnf(71,plain,
% 1.27/1.40 (P3(a1,a6,a9)),
% 1.27/1.40 inference(scs_inference,[],[27,29,32,28,31,33,2,45,41,12,11,3,46,37,44,54])).
% 1.27/1.40 cnf(75,plain,
% 1.27/1.40 (P9(a7,a3)),
% 1.27/1.40 inference(scs_inference,[],[27,29,32,28,31,33,2,45,41,12,11,3,46,37,44,54,40,39])).
% 1.27/1.40 cnf(77,plain,
% 1.27/1.40 (P8(a7,a3)),
% 1.27/1.40 inference(scs_inference,[],[27,29,32,28,31,33,2,45,41,12,11,3,46,37,44,54,40,39,38])).
% 1.27/1.40 cnf(79,plain,
% 1.27/1.40 (P5(f2(a1,a6),a7)),
% 1.27/1.40 inference(scs_inference,[],[27,29,32,28,31,33,2,45,41,12,11,3,46,37,44,54,40,39,38,35])).
% 1.27/1.40 cnf(81,plain,
% 1.27/1.40 (P8(f2(a1,a6),a7)),
% 1.27/1.40 inference(scs_inference,[],[27,29,32,28,31,33,2,45,41,12,11,3,46,37,44,54,40,39,38,35,34])).
% 1.27/1.40 cnf(83,plain,
% 1.27/1.40 (E(f4(x831,f2(a1,a6)),f4(x831,a7))),
% 1.27/1.40 inference(scs_inference,[],[27,29,32,28,31,33,2,45,41,12,11,3,46,37,44,54,40,39,38,35,34,9])).
% 1.27/1.40 cnf(84,plain,
% 1.27/1.40 (E(f4(f2(a1,a6),x841),f4(a7,x841))),
% 1.27/1.40 inference(scs_inference,[],[27,29,32,28,31,33,2,45,41,12,11,3,46,37,44,54,40,39,38,35,34,9,8])).
% 1.27/1.40 cnf(85,plain,
% 1.27/1.40 (E(f5(x851,f2(a1,a6)),f5(x851,a7))),
% 1.27/1.40 inference(scs_inference,[],[27,29,32,28,31,33,2,45,41,12,11,3,46,37,44,54,40,39,38,35,34,9,8,7])).
% 1.27/1.40 cnf(86,plain,
% 1.27/1.40 (E(f5(f2(a1,a6),x861),f5(a7,x861))),
% 1.27/1.40 inference(scs_inference,[],[27,29,32,28,31,33,2,45,41,12,11,3,46,37,44,54,40,39,38,35,34,9,8,7,6])).
% 1.27/1.40 cnf(87,plain,
% 1.27/1.40 (E(f2(x871,f2(a1,a6)),f2(x871,a7))),
% 1.27/1.40 inference(scs_inference,[],[27,29,32,28,31,33,2,45,41,12,11,3,46,37,44,54,40,39,38,35,34,9,8,7,6,5])).
% 1.27/1.40 cnf(118,plain,
% 1.27/1.40 (~P7(a1,a9)),
% 1.27/1.40 inference(scs_inference,[],[71,69,53])).
% 1.27/1.40 cnf(120,plain,
% 1.27/1.40 (P2(f5(a1,a6),f5(a1,a9))),
% 1.27/1.40 inference(scs_inference,[],[27,71,69,53,51])).
% 1.27/1.40 cnf(124,plain,
% 1.27/1.40 (~P2(a3,f2(a1,a9))),
% 1.27/1.40 inference(scs_inference,[],[27,31,71,69,53,51,48,45])).
% 1.27/1.40 cnf(128,plain,
% 1.27/1.40 (~E(a6,a9)),
% 1.27/1.40 inference(scs_inference,[],[27,31,28,71,57,79,69,75,53,51,48,45,25,23,20])).
% 1.27/1.40 cnf(130,plain,
% 1.27/1.40 (P8(a7,a7)),
% 1.27/1.40 inference(scs_inference,[],[27,31,28,71,57,79,81,69,75,53,51,48,45,25,23,20,14,13])).
% 1.27/1.40 cnf(131,plain,
% 1.27/1.40 (~E(a7,f2(a1,a9))),
% 1.27/1.40 inference(scs_inference,[],[27,31,29,28,71,57,79,81,69,75,53,51,48,45,25,23,20,14,13,12])).
% 1.27/1.40 cnf(133,plain,
% 1.27/1.40 (~E(a9,a6)),
% 1.27/1.40 inference(scs_inference,[],[27,31,29,28,71,57,79,81,69,75,53,51,48,45,25,23,20,14,13,12,3,2])).
% 1.27/1.40 cnf(134,plain,
% 1.27/1.40 (P5(f2(a1,a6),f2(a1,a6))),
% 1.27/1.40 inference(scs_inference,[],[27,31,29,28,71,57,79,81,69,75,53,51,48,45,25,23,20,14,13,12,3,2,24])).
% 1.27/1.40 cnf(135,plain,
% 1.27/1.40 (~P2(f2(a1,a6),a3)),
% 1.27/1.40 inference(scs_inference,[],[27,31,29,28,71,57,79,81,58,69,75,53,51,48,45,25,23,20,14,13,12,3,2,24,11])).
% 1.27/1.40 cnf(137,plain,
% 1.27/1.40 (~P2(a7,f2(a1,a9))),
% 1.27/1.40 inference(scs_inference,[],[27,31,29,28,71,57,79,81,58,69,75,53,51,48,45,25,23,20,14,13,12,3,2,24,11,10,46])).
% 1.27/1.40 cnf(139,plain,
% 1.27/1.40 (P9(a7,f2(a1,a9))),
% 1.27/1.40 inference(scs_inference,[],[27,31,29,28,71,57,79,81,58,69,75,53,51,48,45,25,23,20,14,13,12,3,2,24,11,10,46,36])).
% 1.27/1.40 cnf(141,plain,
% 1.27/1.40 (~P3(a1,a6,a6)),
% 1.27/1.40 inference(scs_inference,[],[27,31,29,28,71,57,79,81,58,69,75,53,51,48,45,25,23,20,14,13,12,3,2,24,11,10,46,36,55])).
% 1.27/1.40 cnf(143,plain,
% 1.27/1.40 (P6(a1,a6)+P2(f4(a1,a9),f4(a1,a6))),
% 1.27/1.40 inference(scs_inference,[],[27,31,29,28,71,67,57,79,81,58,69,75,53,51,48,45,25,23,20,14,13,12,3,2,24,11,10,46,36,55,56])).
% 1.27/1.40 cnf(145,plain,
% 1.27/1.40 (E(f2(a1,a8),a3)+P9(f2(a1,a8),a3)),
% 1.27/1.40 inference(scs_inference,[],[27,30,31,29,28,71,67,57,79,81,58,69,75,53,51,48,45,25,23,20,14,13,12,3,2,24,11,10,46,36,55,56,42])).
% 1.27/1.40 cnf(156,plain,
% 1.27/1.40 (P2(f4(a1,a9),f4(a1,a6))),
% 1.27/1.40 inference(scs_inference,[],[67,143])).
% 1.27/1.40 cnf(157,plain,
% 1.27/1.40 (~P6(a1,x1571)),
% 1.27/1.40 inference(rename_variables,[],[67])).
% 1.27/1.40 cnf(162,plain,
% 1.27/1.40 (~P2(f2(a1,a6),f2(a1,a9))),
% 1.27/1.40 inference(scs_inference,[],[62,120,131,137,124,67,143,43,45,46])).
% 1.27/1.40 cnf(167,plain,
% 1.27/1.40 (E(f4(x1671,a7),f4(x1671,f2(a1,a6)))),
% 1.27/1.40 inference(scs_inference,[],[28,62,120,131,118,137,124,83,67,143,43,45,46,23,52,2])).
% 1.27/1.40 cnf(168,plain,
% 1.27/1.40 (E(f4(f2(a1,a6),f2(a1,a6)),f4(a7,a7))),
% 1.27/1.40 inference(scs_inference,[],[28,62,120,131,118,137,124,83,84,67,143,43,45,46,23,52,2,3])).
% 1.27/1.40 cnf(169,plain,
% 1.27/1.40 (E(f4(x1691,f2(a1,a6)),f4(x1691,a7))),
% 1.27/1.40 inference(rename_variables,[],[83])).
% 1.27/1.40 cnf(171,plain,
% 1.27/1.40 (P9(f2(a1,a6),f2(a1,a9))),
% 1.27/1.40 inference(scs_inference,[],[28,57,62,120,131,118,137,139,124,83,84,67,143,43,45,46,23,52,2,3,25])).
% 1.27/1.40 cnf(176,plain,
% 1.27/1.40 (P6(a1,a9)+~P2(f5(a1,a8),f5(a1,a9))),
% 1.27/1.40 inference(scs_inference,[],[28,33,57,128,62,120,131,118,137,139,124,83,84,67,157,27,143,43,45,46,23,52,2,3,25,42,41,56])).
% 1.27/1.40 cnf(182,plain,
% 1.27/1.40 (~P7(a1,a8)+P6(a1,a9)),
% 1.27/1.40 inference(scs_inference,[],[28,33,57,128,62,120,131,118,137,139,124,141,83,84,67,157,27,143,43,45,46,23,52,2,3,25,42,41,56,36,21,15,51])).
% 1.27/1.40 cnf(184,plain,
% 1.27/1.40 (P3(a1,a8,a6)+P6(a1,a9)),
% 1.27/1.40 inference(scs_inference,[],[28,33,57,128,62,120,131,118,137,139,124,141,83,84,67,157,69,27,143,43,45,46,23,52,2,3,25,42,41,56,36,21,15,51,48])).
% 1.27/1.40 cnf(186,plain,
% 1.27/1.40 (P9(a7,x1861)+~E(f2(a1,a9),x1861)+P6(a1,a9)),
% 1.27/1.40 inference(scs_inference,[],[28,33,57,128,62,120,131,118,137,139,124,141,83,84,67,157,69,27,143,43,45,46,23,52,2,3,25,42,41,56,36,21,15,51,48,26])).
% 1.27/1.40 cnf(187,plain,
% 1.27/1.40 (~E(a6,a8)+P6(a1,a9)),
% 1.27/1.40 inference(scs_inference,[],[28,33,57,128,62,120,131,118,137,139,124,141,83,84,67,157,69,27,143,43,45,46,23,52,2,3,25,42,41,56,36,21,15,51,48,26,20])).
% 1.27/1.40 cnf(188,plain,
% 1.27/1.40 (~P7(x1881,a9)+~E(x1881,a1)+P6(a1,a9)),
% 1.27/1.40 inference(scs_inference,[],[28,33,57,128,62,120,131,118,137,139,124,141,83,84,67,157,69,27,143,43,45,46,23,52,2,3,25,42,41,56,36,21,15,51,48,26,20,19])).
% 1.27/1.40 cnf(189,plain,
% 1.27/1.40 (~P2(x1891,f4(x1892,f2(a1,a6)))+P2(x1891,f4(x1892,a7))+P6(a1,a9)),
% 1.27/1.40 inference(scs_inference,[],[28,33,57,128,62,120,131,118,137,139,124,141,83,169,84,67,157,69,27,143,43,45,46,23,52,2,3,25,42,41,56,36,21,15,51,48,26,20,19,12])).
% 1.27/1.40 cnf(198,plain,
% 1.27/1.40 (~P2(f4(a1,a6),f4(a1,a9))),
% 1.27/1.40 inference(scs_inference,[],[162,156,64,41,42,45])).
% 1.27/1.40 cnf(200,plain,
% 1.27/1.40 (E(f5(f2(a1,a6),f2(a1,a6)),f5(a7,a7))),
% 1.27/1.40 inference(scs_inference,[],[162,156,85,86,64,41,42,45,3])).
% 1.27/1.40 cnf(204,plain,
% 1.27/1.40 (~E(f4(a1,a6),f4(a1,a8))),
% 1.27/1.40 inference(scs_inference,[],[33,57,162,156,85,86,64,41,42,45,3,26,12])).
% 1.27/1.40 cnf(207,plain,
% 1.27/1.40 (~P6(a1,x2071)),
% 1.27/1.40 inference(rename_variables,[],[67])).
% 1.27/1.40 cnf(209,plain,
% 1.27/1.40 (~P6(a1,x2091)),
% 1.27/1.40 inference(rename_variables,[],[67])).
% 1.27/1.40 cnf(210,plain,
% 1.27/1.40 (~P7(a1,a8)),
% 1.27/1.40 inference(scs_inference,[],[28,33,57,162,156,134,85,86,64,67,207,209,41,42,45,3,26,12,23,187,184,182])).
% 1.27/1.40 cnf(211,plain,
% 1.27/1.40 (~P6(a1,x2111)),
% 1.27/1.40 inference(rename_variables,[],[67])).
% 1.27/1.40 cnf(212,plain,
% 1.27/1.40 (~P2(f5(a1,a8),f5(a1,a9))),
% 1.27/1.40 inference(scs_inference,[],[28,33,57,162,156,134,85,86,64,67,207,209,211,41,42,45,3,26,12,23,187,184,182,176])).
% 1.27/1.40 cnf(213,plain,
% 1.27/1.40 (~P6(a1,x2131)),
% 1.27/1.40 inference(rename_variables,[],[67])).
% 1.27/1.40 cnf(217,plain,
% 1.27/1.40 (~P2(f4(a1,a6),f4(a1,a8))),
% 1.27/1.40 inference(scs_inference,[],[28,33,57,162,156,134,85,86,64,67,207,209,211,41,42,45,3,26,12,23,187,184,182,176,36,14,46])).
% 1.27/1.40 cnf(221,plain,
% 1.27/1.40 (~P6(a1,x2211)),
% 1.27/1.40 inference(rename_variables,[],[67])).
% 1.27/1.40 cnf(223,plain,
% 1.27/1.40 (~P6(a1,x2231)),
% 1.27/1.40 inference(rename_variables,[],[67])).
% 1.27/1.40 cnf(227,plain,
% 1.27/1.40 (~E(f2(a1,a8),a7)),
% 1.27/1.40 inference(scs_inference,[],[28,33,57,162,135,156,134,85,86,64,67,207,209,211,213,221,223,27,41,42,45,3,26,12,23,187,184,182,176,36,14,46,2,189,188,186,22,10,55])).
% 1.27/1.40 cnf(229,plain,
% 1.27/1.40 (~E(a8,a6)),
% 1.27/1.40 inference(scs_inference,[],[28,33,57,162,135,156,134,85,86,64,67,207,209,211,213,221,223,27,41,42,45,3,26,12,23,187,184,182,176,36,14,46,2,189,188,186,22,10,55,9])).
% 1.27/1.40 cnf(239,plain,
% 1.27/1.40 (P3(a1,a6,a8)),
% 1.27/1.40 inference(scs_inference,[],[210,69,27,49])).
% 1.27/1.40 cnf(241,plain,
% 1.27/1.40 (~P2(f5(a1,a8),f5(a1,a6))),
% 1.27/1.40 inference(scs_inference,[],[212,210,120,69,27,49,46])).
% 1.27/1.40 cnf(246,plain,
% 1.27/1.40 (~E(f5(a1,a6),f5(a1,a8))),
% 1.27/1.40 inference(scs_inference,[],[57,212,210,130,120,69,27,49,46,14,52,11])).
% 1.27/1.40 cnf(247,plain,
% 1.27/1.40 (~E(f2(a1,a8),f2(a1,a6))),
% 1.27/1.40 inference(scs_inference,[],[57,212,210,130,227,120,69,27,28,49,46,14,52,11,3])).
% 1.27/1.40 cnf(248,plain,
% 1.27/1.40 (E(f5(a7,a7),f5(f2(a1,a6),f2(a1,a6)))),
% 1.27/1.40 inference(scs_inference,[],[57,212,210,200,130,227,120,69,27,28,49,46,14,52,11,3,2])).
% 1.27/1.40 cnf(251,plain,
% 1.27/1.40 (P8(f5(f2(a1,a6),f2(a1,a6)),f5(a7,a7))),
% 1.27/1.40 inference(scs_inference,[],[57,212,210,200,130,227,171,120,69,27,28,49,46,14,52,11,3,2,38,34])).
% 1.27/1.40 cnf(255,plain,
% 1.27/1.40 (P5(f5(f2(a1,a6),f2(a1,a6)),f5(a7,a7))),
% 1.27/1.40 inference(scs_inference,[],[31,57,212,210,200,130,227,171,120,69,27,28,49,46,14,52,11,3,2,38,34,40,35])).
% 1.27/1.40 cnf(259,plain,
% 1.27/1.40 (E(f4(a7,x2591),f4(f2(a1,a6),x2591))),
% 1.27/1.40 inference(scs_inference,[],[31,57,212,210,200,130,227,171,120,69,27,28,49,46,14,52,11,3,2,38,34,40,35,39,8])).
% 1.27/1.40 cnf(260,plain,
% 1.27/1.40 (E(f2(a7,x2601),f2(f2(a1,a6),x2601))),
% 1.27/1.40 inference(scs_inference,[],[31,57,212,210,200,130,227,171,120,69,27,28,49,46,14,52,11,3,2,38,34,40,35,39,8,4])).
% 1.27/1.40 cnf(261,plain,
% 1.27/1.40 (E(f2(x2611,a7),f2(x2611,f2(a1,a6)))),
% 1.27/1.40 inference(scs_inference,[],[31,57,212,210,200,130,227,171,120,69,27,28,49,46,14,52,11,3,2,38,34,40,35,39,8,4,5])).
% 1.27/1.40 cnf(262,plain,
% 1.27/1.40 (E(f5(x2621,a7),f5(x2621,f2(a1,a6)))),
% 1.27/1.40 inference(scs_inference,[],[31,57,212,210,200,130,227,171,120,69,27,28,49,46,14,52,11,3,2,38,34,40,35,39,8,4,5,7])).
% 1.27/1.40 cnf(263,plain,
% 1.27/1.40 (E(f5(a7,x2631),f5(f2(a1,a6),x2631))),
% 1.27/1.40 inference(scs_inference,[],[31,57,212,210,200,130,227,171,120,69,27,28,49,46,14,52,11,3,2,38,34,40,35,39,8,4,5,7,6])).
% 1.27/1.40 cnf(278,plain,
% 1.27/1.40 (P9(f4(a1,a6),f4(a1,a8))),
% 1.27/1.40 inference(scs_inference,[],[204,217,36])).
% 1.27/1.40 cnf(283,plain,
% 1.27/1.40 (~E(f2(a1,a6),f2(a1,a8))),
% 1.27/1.40 inference(scs_inference,[],[247,204,261,260,217,36,3,2])).
% 1.27/1.40 cnf(292,plain,
% 1.27/1.40 (P8(f5(x2921,a7),f5(x2921,f2(a1,a6)))),
% 1.27/1.40 inference(scs_inference,[],[262,278,38,34])).
% 1.27/1.40 cnf(298,plain,
% 1.27/1.40 (~P9(a3,a7)),
% 1.27/1.40 inference(scs_inference,[],[58,262,251,278,85,210,69,27,38,34,51,13,41])).
% 1.27/1.40 cnf(302,plain,
% 1.27/1.40 (E(f4(a7,a7),f4(f2(a1,a6),f2(a1,a6)))),
% 1.27/1.40 inference(scs_inference,[],[58,262,263,259,251,278,167,85,210,69,27,38,34,51,13,41,14,3])).
% 1.27/1.40 cnf(325,plain,
% 1.27/1.40 (P5(f4(a7,a7),f4(f2(a1,a6),f2(a1,a6)))),
% 1.27/1.40 inference(scs_inference,[],[302,35])).
% 1.27/1.40 cnf(327,plain,
% 1.27/1.40 (P5(f5(a7,f2(a1,a6)),f5(a7,a7))),
% 1.27/1.40 inference(scs_inference,[],[302,255,86,35,23])).
% 1.27/1.40 cnf(329,plain,
% 1.27/1.40 (~E(a7,f2(a1,a8))),
% 1.27/1.40 inference(scs_inference,[],[302,255,283,86,28,35,23,3])).
% 1.27/1.40 cnf(330,plain,
% 1.27/1.40 (~E(f5(a1,a8),f5(a1,a6))),
% 1.27/1.40 inference(scs_inference,[],[302,255,283,246,86,28,35,23,3,2])).
% 1.27/1.40 cnf(333,plain,
% 1.27/1.40 (P5(f4(a7,a7),f4(a7,a7))),
% 1.27/1.40 inference(scs_inference,[],[229,302,255,283,246,168,86,28,35,23,3,2,43,24])).
% 1.27/1.40 cnf(355,plain,
% 1.27/1.40 (P9(f5(a1,a8),f5(a1,a6))),
% 1.27/1.40 inference(scs_inference,[],[62,330,241,40,36])).
% 1.27/1.40 cnf(358,plain,
% 1.27/1.40 (P5(f4(f2(a1,a6),a7),f4(a7,a7))),
% 1.27/1.40 inference(scs_inference,[],[62,330,333,298,259,241,28,40,36,26,23])).
% 1.27/1.40 cnf(381,plain,
% 1.27/1.40 (P8(f5(x3811,a7),f5(x3811,a7))),
% 1.27/1.40 inference(scs_inference,[],[57,292,77,85,13,14])).
% 1.27/1.40 cnf(387,plain,
% 1.27/1.40 (P5(f5(a7,a7),f5(f2(a1,a6),f2(a1,a6)))),
% 1.27/1.40 inference(scs_inference,[],[57,355,329,292,77,248,85,13,14,42,38,35])).
% 1.27/1.40 cnf(391,plain,
% 1.27/1.40 (P5(f2(a1,a9),a7)),
% 1.27/1.40 inference(scs_inference,[],[57,355,329,292,77,248,87,65,85,13,14,42,38,35,34,40])).
% 1.27/1.40 cnf(428,plain,
% 1.27/1.40 (P2(f2(a1,a8),a3)),
% 1.27/1.40 inference(scs_inference,[],[57,391,358,204,167,217,239,27,28,43,24,23,55])).
% 1.27/1.40 cnf(430,plain,
% 1.27/1.40 (~P2(a3,f2(a1,a8))),
% 1.27/1.40 inference(scs_inference,[],[57,391,358,204,167,217,239,27,28,43,24,23,55,45])).
% 1.27/1.40 cnf(435,plain,
% 1.27/1.40 (~P2(a7,f2(a1,a8))),
% 1.27/1.40 inference(scs_inference,[],[58,57,391,358,198,204,167,217,239,27,28,43,24,23,55,45,21,41,46])).
% 1.27/1.40 cnf(450,plain,
% 1.27/1.40 (~P2(f2(a1,a6),f2(a1,a8))),
% 1.27/1.40 inference(scs_inference,[],[62,430,46])).
% 1.27/1.40 cnf(458,plain,
% 1.27/1.40 (P2(f2(a1,a8),a7)),
% 1.27/1.40 inference(scs_inference,[],[62,428,430,435,133,329,46,39,43,36,41])).
% 1.27/1.40 cnf(462,plain,
% 1.27/1.40 (P9(f2(a1,a6),f2(a1,a8))),
% 1.27/1.40 inference(scs_inference,[],[62,57,428,430,435,133,325,329,84,46,39,43,36,41,24,25])).
% 1.27/1.40 cnf(478,plain,
% 1.27/1.40 (P5(f2(a1,a8),a7)),
% 1.27/1.40 inference(scs_inference,[],[458,40])).
% 1.27/1.40 cnf(480,plain,
% 1.27/1.40 (~P9(f2(a1,a8),f2(a1,a6))),
% 1.27/1.40 inference(scs_inference,[],[450,458,40,41])).
% 1.27/1.40 cnf(488,plain,
% 1.27/1.40 (P8(f2(x4881,a7),f2(x4881,f2(a1,a6)))),
% 1.27/1.40 inference(scs_inference,[],[57,450,462,458,381,261,262,40,41,13,12,26,38,34])).
% 1.27/1.40 cnf(490,plain,
% 1.27/1.40 (P5(f2(x4901,a7),f2(x4901,f2(a1,a6)))),
% 1.27/1.40 inference(scs_inference,[],[57,450,462,458,381,261,262,40,41,13,12,26,38,34,35])).
% 1.27/1.40 cnf(515,plain,
% 1.27/1.40 (P5(f5(a7,a7),f5(a7,a7))),
% 1.27/1.40 inference(scs_inference,[],[57,480,490,327,247,260,85,42,24,14,23])).
% 1.27/1.40 cnf(532,plain,
% 1.27/1.40 (P8(f2(x5321,a7),f2(x5321,a7))),
% 1.27/1.40 inference(scs_inference,[],[57,488,478,87,24,14])).
% 1.27/1.40 cnf(554,plain,
% 1.27/1.40 (P9(f5(a1,a9),f5(a1,a6))),
% 1.27/1.40 inference(scs_inference,[],[532,435,329,260,120,43,14,39])).
% 1.27/1.40 cnf(572,plain,
% 1.27/1.40 (E(f2(a1,a8),a3)),
% 1.27/1.40 inference(scs_inference,[],[515,430,263,41,23,145])).
% 1.27/1.40 cnf(573,plain,
% 1.27/1.40 (E(f4(x5731,f2(a1,a8)),f4(x5731,a3))),
% 1.27/1.40 inference(scs_inference,[],[515,430,263,41,23,145,9])).
% 1.27/1.40 cnf(578,plain,
% 1.27/1.40 (P5(f4(f2(a1,a6),x5781),f4(a7,x5781))),
% 1.27/1.40 inference(scs_inference,[],[554,515,430,84,263,41,23,145,9,38,34,35])).
% 1.27/1.40 cnf(583,plain,
% 1.27/1.40 (P8(f4(a7,x5831),f4(a7,x5831))),
% 1.27/1.40 inference(scs_inference,[],[554,515,430,330,84,263,241,41,23,145,9,38,34,35,43,20,13])).
% 1.27/1.40 cnf(584,plain,
% 1.27/1.40 (E(f4(f2(a1,a6),f2(a1,a8)),f4(a7,a3))),
% 1.27/1.40 inference(scs_inference,[],[554,515,430,330,84,263,241,41,23,145,9,38,34,35,43,20,13,3])).
% 1.27/1.40 cnf(586,plain,
% 1.27/1.40 (~P2(f2(a1,a8),f2(a1,a8))),
% 1.27/1.40 inference(scs_inference,[],[554,515,430,330,84,263,241,41,23,145,9,38,34,35,43,20,13,3,11])).
% 1.27/1.40 cnf(611,plain,
% 1.27/1.40 (E(f4(x6111,f2(a1,a8)),f4(x6111,a3))),
% 1.27/1.40 inference(rename_variables,[],[573])).
% 1.27/1.40 cnf(612,plain,
% 1.27/1.40 (~E(a3,a7)),
% 1.27/1.40 inference(scs_inference,[],[572,573,583,227,13,3])).
% 1.27/1.40 cnf(613,plain,
% 1.27/1.40 (P5(f4(f2(a1,a6),f2(a1,a8)),f4(a7,a3))),
% 1.27/1.40 inference(scs_inference,[],[572,573,611,578,583,227,13,3,24])).
% 1.27/1.40 cnf(618,plain,
% 1.27/1.40 (~P2(f2(a1,a8),f2(a1,a9))),
% 1.27/1.40 inference(scs_inference,[],[586,572,573,611,578,583,227,124,428,13,3,24,2,12,11])).
% 1.27/1.40 cnf(670,plain,
% 1.27/1.40 ($false),
% 1.27/1.40 inference(scs_inference,[],[618,613,612,584,387,573,298,86,428,572,28,35,42,41,3,2,24,14,11,23,45]),
% 1.27/1.40 ['proof']).
% 1.27/1.40 % SZS output end Proof
% 1.27/1.40 % Total time :0.760000s
%------------------------------------------------------------------------------