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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN462-1 : TPTP v9.3.1. Released v2.1.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n015.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8046.5625MB
% OS       : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Fri Sep 25 03:40:21 PM UTC 2026

% Result   : Unsatisfiable 3.03s 6.16s
% Output   : CNFRefutation 3.03s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :    8
%            Number of leaves      :   84
% Syntax   : Number of formulae    :  298 (   2 unt;   0 def)
%            Number of atoms       : 1211 (   0 equ)
%            Maximal formula atoms :   10 (   4 avg)
%            Number of connectives : 1570 ( 657   ~; 913   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   13 (   5 avg)
%            Maximal term depth    :    1 (   1 avg)
%            Number of types       :    1 (   0 usr)
%            Number of type conns  :    0 (   0   >;   0   *;   0   +;   0  <<)
%            Number of predicates  :   45 (  44 usr;  41 prp; 0-1 aty)
%            Number of functors    :   19 (  19 usr;  19 con; 0-0 aty)
%            Number of variables   :  187 (   0 sgn 187   !;   0   ?; 144   :)

% Comments : 
%------------------------------------------------------------------------------
fof(f12,negated_conjecture,
    ( ndr1_0
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).

fof(f22,negated_conjecture,
    ( ndr1_0
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).

fof(f31,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

fof(f39,negated_conjecture,
    ( hskp9
    | hskp19
    | hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ( hskp12
    | hskp25
    | hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f45,negated_conjecture,
    ( c0_1(a304)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ( c1_1(a304)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ( c2_1(a304)
    | ~ hskp29 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ( c0_1(a278)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ( c1_1(a278)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f50,negated_conjecture,
    ( c3_1(a278)
    | ~ hskp28 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause50) ).

fof(f51,negated_conjecture,
    ( c1_1(a276)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ( c2_1(a276)
    | ~ hskp27 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

fof(f54,negated_conjecture,
    ( c1_1(a352)
    | ~ hskp25 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause54) ).

fof(f56,negated_conjecture,
    ( c0_1(a311)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause56) ).

fof(f57,negated_conjecture,
    ( c2_1(a311)
    | ~ hskp22 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause57) ).

fof(f61,negated_conjecture,
    ( c1_1(a303)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause61) ).

fof(f62,negated_conjecture,
    ( c2_1(a303)
    | ~ hskp19 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause62) ).

fof(f66,negated_conjecture,
    ( c0_1(a293)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause66) ).

fof(f67,negated_conjecture,
    ( c1_1(a293)
    | ~ hskp16 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause67) ).

fof(f70,negated_conjecture,
    ( c1_1(a287)
    | ~ hskp14 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause70) ).

fof(f73,negated_conjecture,
    ( c2_1(a284)
    | ~ hskp12 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause73) ).

fof(f74,negated_conjecture,
    ( c2_1(a282)
    | ~ hskp11 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause74) ).

fof(f76,negated_conjecture,
    ( c2_1(a280)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause76) ).

fof(f77,negated_conjecture,
    ( c3_1(a280)
    | ~ hskp9 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause77) ).

fof(f78,negated_conjecture,
    ( c0_1(a274)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause78) ).

fof(f79,negated_conjecture,
    ( c1_1(a274)
    | ~ hskp7 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause79) ).

fof(f80,negated_conjecture,
    ( c1_1(a273)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause80) ).

fof(f81,negated_conjecture,
    ( c2_1(a273)
    | ~ hskp6 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause81) ).

fof(f82,negated_conjecture,
    ( c0_1(a272)
    | ~ hskp5 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause82) ).

fof(f83,negated_conjecture,
    ( c0_1(a270)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause83) ).

fof(f84,negated_conjecture,
    ( c3_1(a270)
    | ~ hskp3 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause84) ).

fof(f85,negated_conjecture,
    ( c0_1(a269)
    | ~ hskp2 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause85) ).

fof(f87,negated_conjecture,
    ( c0_1(a267)
    | ~ hskp0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause87) ).

fof(f91,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a352) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause91) ).

fof(f92,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a352) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause92) ).

fof(f95,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a313) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause95) ).

fof(f96,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a313) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause96) ).

fof(f97,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a313) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause97) ).

fof(f98,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a311) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause98) ).

fof(f102,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a303) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause102) ).

fof(f106,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a293) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause106) ).

fof(f108,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a287) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause108) ).

fof(f109,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a287) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause109) ).

fof(f111,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a284) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause111) ).

fof(f112,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a284) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause112) ).

fof(f113,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a282) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause113) ).

fof(f114,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a282) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause114) ).

fof(f117,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a280) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause117) ).

fof(f121,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a274) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause121) ).

fof(f122,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a273) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause122) ).

fof(f123,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a272) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause123) ).

fof(f124,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a272) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause124) ).

fof(f125,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a271) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause125) ).

fof(f126,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a271) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause126) ).

fof(f127,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a271) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause127) ).

fof(f128,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a270) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause128) ).

fof(f129,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a269) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause129) ).

fof(f130,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a269) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause130) ).

fof(f133,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a267) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause133) ).

fof(f134,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a267) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause134) ).

fof(f136,negated_conjecture,
    ! [X0] :
      ( hskp9
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause136) ).

fof(f137,negated_conjecture,
    ! [X0] :
      ( hskp14
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause137) ).

fof(f138,negated_conjecture,
    ! [X0] :
      ( hskp8
      | c2_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause138) ).

fof(f145,negated_conjecture,
    ! [X0] :
      ( hskp19
      | hskp27
      | c3_1(X0)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause145) ).

fof(f149,negated_conjecture,
    ! [X0] :
      ( hskp5
      | hskp29
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause149) ).

fof(f150,negated_conjecture,
    ! [X0] :
      ( hskp0
      | hskp22
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause150) ).

fof(f151,negated_conjecture,
    ! [X0] :
      ( hskp23
      | hskp28
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause151) ).

fof(f153,negated_conjecture,
    ! [X0] :
      ( hskp4
      | hskp3
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause153) ).

fof(f157,negated_conjecture,
    ! [X0,X1] :
      ( hskp2
      | c3_1(X1)
      | c1_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0 ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause157) ).

fof(f158,negated_conjecture,
    ! [X0,X1] :
      ( hskp28
      | c3_1(X1)
      | c2_1(X1)
      | c0_1(X1)
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause158) ).

fof(f163,negated_conjecture,
    ! [X0,X1] :
      ( hskp10
      | c2_1(X1)
      | c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause163) ).

fof(f164,negated_conjecture,
    ! [X0,X1] :
      ( hskp11
      | c2_1(X1)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause164) ).

fof(f165,negated_conjecture,
    ! [X0,X1] :
      ( hskp7
      | c2_1(X1)
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause165) ).

fof(f167,negated_conjecture,
    ! [X0,X1] :
      ( hskp6
      | c1_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause167) ).

fof(f169,negated_conjecture,
    ! [X0,X1] :
      ( hskp16
      | c0_1(X1)
      | c1_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause169) ).

fof(f172,negated_conjecture,
    ! [X0,X1] :
      ( hskp8
      | c1_1(X1)
      | c2_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause172) ).

fof(f174,negated_conjecture,
    ! [X0,X1] :
      ( hskp23
      | c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause174) ).

fof(f175,negated_conjecture,
    ! [X0,X1] :
      ( hskp0
      | c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause175) ).

fof(f178,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c1_1(X2)
      | c3_1(X1)
      | c2_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | ~ c0_1(X2)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause178) ).

fof(f179,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | c2_1(X0)
      | ~ c2_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause179) ).

fof(f181,negated_conjecture,
    ! [X2,X0,X1] :
      ( c0_1(X2)
      | c3_1(X1)
      | c1_1(X1)
      | c3_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X2)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause181) ).

fof(f183,negated_conjecture,
    ! [X2,X0,X1] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c1_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause183) ).

fof(f184,negated_conjecture,
    ! [X2,X0,X1] :
      ( c1_1(X2)
      | c1_1(X1)
      | ~ c2_1(X2)
      | ~ c0_1(X2)
      | ~ c3_1(X1)
      | ~ c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause184) ).

tcf(c_244,negated_conjecture,
    ( ndr1_0
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_254,negated_conjecture,
    ( ndr1_0
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_263,negated_conjecture,
    ( ndr1_0
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_271,negated_conjecture,
    ( hskp0
    | hskp9
    | hskp19 ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_272,negated_conjecture,
    ( hskp12
    | hskp14
    | hskp25 ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_277,negated_conjecture,
    ( c0_1(a304)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_278,negated_conjecture,
    ( c1_1(a304)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_279,negated_conjecture,
    ( c2_1(a304)
    | ~ hskp29 ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_280,negated_conjecture,
    ( c0_1(a278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_281,negated_conjecture,
    ( c1_1(a278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_282,negated_conjecture,
    ( c3_1(a278)
    | ~ hskp28 ),
    inference(cnf_transformation,[],[f50]) ).

tcf(c_283,negated_conjecture,
    ( c1_1(a276)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_284,negated_conjecture,
    ( c2_1(a276)
    | ~ hskp27 ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_286,negated_conjecture,
    ( c1_1(a352)
    | ~ hskp25 ),
    inference(cnf_transformation,[],[f54]) ).

tcf(c_288,negated_conjecture,
    ( c0_1(a311)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f56]) ).

tcf(c_289,negated_conjecture,
    ( c2_1(a311)
    | ~ hskp22 ),
    inference(cnf_transformation,[],[f57]) ).

tcf(c_293,negated_conjecture,
    ( c1_1(a303)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f61]) ).

tcf(c_294,negated_conjecture,
    ( c2_1(a303)
    | ~ hskp19 ),
    inference(cnf_transformation,[],[f62]) ).

tcf(c_298,negated_conjecture,
    ( c0_1(a293)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f66]) ).

tcf(c_299,negated_conjecture,
    ( c1_1(a293)
    | ~ hskp16 ),
    inference(cnf_transformation,[],[f67]) ).

tcf(c_302,negated_conjecture,
    ( c1_1(a287)
    | ~ hskp14 ),
    inference(cnf_transformation,[],[f70]) ).

tcf(c_305,negated_conjecture,
    ( c2_1(a284)
    | ~ hskp12 ),
    inference(cnf_transformation,[],[f73]) ).

tcf(c_306,negated_conjecture,
    ( c2_1(a282)
    | ~ hskp11 ),
    inference(cnf_transformation,[],[f74]) ).

tcf(c_308,negated_conjecture,
    ( c2_1(a280)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f76]) ).

tcf(c_309,negated_conjecture,
    ( c3_1(a280)
    | ~ hskp9 ),
    inference(cnf_transformation,[],[f77]) ).

tcf(c_310,negated_conjecture,
    ( c0_1(a274)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f78]) ).

tcf(c_311,negated_conjecture,
    ( c1_1(a274)
    | ~ hskp7 ),
    inference(cnf_transformation,[],[f79]) ).

tcf(c_312,negated_conjecture,
    ( c1_1(a273)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f80]) ).

tcf(c_313,negated_conjecture,
    ( c2_1(a273)
    | ~ hskp6 ),
    inference(cnf_transformation,[],[f81]) ).

tcf(c_314,negated_conjecture,
    ( c0_1(a272)
    | ~ hskp5 ),
    inference(cnf_transformation,[],[f82]) ).

tcf(c_315,negated_conjecture,
    ( c0_1(a270)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f83]) ).

tcf(c_316,negated_conjecture,
    ( c3_1(a270)
    | ~ hskp3 ),
    inference(cnf_transformation,[],[f84]) ).

tcf(c_317,negated_conjecture,
    ( c0_1(a269)
    | ~ hskp2 ),
    inference(cnf_transformation,[],[f85]) ).

tcf(c_319,negated_conjecture,
    ( c0_1(a267)
    | ~ hskp0 ),
    inference(cnf_transformation,[],[f87]) ).

tcf(c_323,negated_conjecture,
    ( ~ hskp25
    | ~ c2_1(a352) ),
    inference(cnf_transformation,[],[f91]) ).

tcf(c_324,negated_conjecture,
    ( ~ hskp25
    | ~ c3_1(a352) ),
    inference(cnf_transformation,[],[f92]) ).

tcf(c_327,negated_conjecture,
    ( ~ hskp23
    | ~ c1_1(a313) ),
    inference(cnf_transformation,[],[f95]) ).

tcf(c_328,negated_conjecture,
    ( ~ hskp23
    | ~ c2_1(a313) ),
    inference(cnf_transformation,[],[f96]) ).

tcf(c_329,negated_conjecture,
    ( ~ hskp23
    | ~ c3_1(a313) ),
    inference(cnf_transformation,[],[f97]) ).

tcf(c_330,negated_conjecture,
    ( ~ hskp22
    | ~ c3_1(a311) ),
    inference(cnf_transformation,[],[f98]) ).

tcf(c_334,negated_conjecture,
    ( ~ hskp19
    | ~ c3_1(a303) ),
    inference(cnf_transformation,[],[f102]) ).

tcf(c_338,negated_conjecture,
    ( ~ hskp16
    | ~ c2_1(a293) ),
    inference(cnf_transformation,[],[f106]) ).

tcf(c_340,negated_conjecture,
    ( ~ hskp14
    | ~ c0_1(a287) ),
    inference(cnf_transformation,[],[f108]) ).

tcf(c_341,negated_conjecture,
    ( ~ hskp14
    | ~ c2_1(a287) ),
    inference(cnf_transformation,[],[f109]) ).

tcf(c_343,negated_conjecture,
    ( ~ hskp12
    | ~ c0_1(a284) ),
    inference(cnf_transformation,[],[f111]) ).

tcf(c_344,negated_conjecture,
    ( ~ hskp12
    | ~ c3_1(a284) ),
    inference(cnf_transformation,[],[f112]) ).

tcf(c_345,negated_conjecture,
    ( ~ hskp11
    | ~ c0_1(a282) ),
    inference(cnf_transformation,[],[f113]) ).

tcf(c_346,negated_conjecture,
    ( ~ hskp11
    | ~ c1_1(a282) ),
    inference(cnf_transformation,[],[f114]) ).

tcf(c_349,negated_conjecture,
    ( ~ hskp9
    | ~ c1_1(a280) ),
    inference(cnf_transformation,[],[f117]) ).

tcf(c_353,negated_conjecture,
    ( ~ hskp7
    | ~ c3_1(a274) ),
    inference(cnf_transformation,[],[f121]) ).

tcf(c_354,negated_conjecture,
    ( ~ hskp6
    | ~ c0_1(a273) ),
    inference(cnf_transformation,[],[f122]) ).

tcf(c_355,negated_conjecture,
    ( ~ hskp5
    | ~ c1_1(a272) ),
    inference(cnf_transformation,[],[f123]) ).

tcf(c_356,negated_conjecture,
    ( ~ hskp5
    | ~ c3_1(a272) ),
    inference(cnf_transformation,[],[f124]) ).

tcf(c_357,negated_conjecture,
    ( ~ hskp4
    | ~ c0_1(a271) ),
    inference(cnf_transformation,[],[f125]) ).

tcf(c_358,negated_conjecture,
    ( ~ hskp4
    | ~ c1_1(a271) ),
    inference(cnf_transformation,[],[f126]) ).

tcf(c_359,negated_conjecture,
    ( ~ hskp4
    | ~ c3_1(a271) ),
    inference(cnf_transformation,[],[f127]) ).

tcf(c_360,negated_conjecture,
    ( ~ hskp3
    | ~ c2_1(a270) ),
    inference(cnf_transformation,[],[f128]) ).

tcf(c_361,negated_conjecture,
    ( ~ hskp2
    | ~ c1_1(a269) ),
    inference(cnf_transformation,[],[f129]) ).

tcf(c_362,negated_conjecture,
    ( ~ hskp2
    | ~ c2_1(a269) ),
    inference(cnf_transformation,[],[f130]) ).

tcf(c_365,negated_conjecture,
    ( ~ hskp0
    | ~ c2_1(a267) ),
    inference(cnf_transformation,[],[f133]) ).

tcf(c_366,negated_conjecture,
    ( ~ hskp0
    | ~ c3_1(a267) ),
    inference(cnf_transformation,[],[f134]) ).

tcf(c_368,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | c2_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0) ),
    inference(cnf_transformation,[],[f136]) ).

tcf(c_369,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | c3_1(X0)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f137]) ).

tcf(c_370,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | c1_1(X0)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f138]) ).

tcf(c_377,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp27
      | c1_1(X0)
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f145]) ).

tcf(c_381,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp29
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f149]) ).

tcf(c_382,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp22
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f150]) ).

tcf(c_383,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp28
      | c3_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f151]) ).

tcf(c_385,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp4
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f153]) ).

tcf(c_389,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0 ),
    inference(cnf_transformation,[],[f157]) ).

tcf(c_390,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ ndr1_0
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f158]) ).

tcf(c_395,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(cnf_transformation,[],[f163]) ).

tcf(c_396,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(cnf_transformation,[],[f164]) ).

tcf(c_397,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f165]) ).

tcf(c_399,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c1_1(X1)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f167]) ).

tcf(c_401,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X0)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f169]) ).

tcf(c_404,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f172]) ).

tcf(c_406,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f174]) ).

tcf(c_407,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f175]) ).

tcf(c_410,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f178]) ).

tcf(c_411,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f179]) ).

tcf(c_413,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f181]) ).

tcf(c_415,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ ndr1_0
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f183]) ).

tcf(c_416,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | ~ ndr1_0
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(cnf_transformation,[],[f184]) ).

tcf(c_444,negated_conjecture,
    ndr1_0,
    inference(global_subsumption_just,[status(thm)],[c_263,c_271,c_263,c_254,c_244]) ).

tcf(c_506,negated_conjecture,
    ! [X0: $i] :
      ( hskp8
      | c1_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_370,c_271,c_263,c_254,c_244,c_370]) ).

tcf(c_509,negated_conjecture,
    ! [X0: $i] :
      ( hskp14
      | c3_1(X0)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_369,c_271,c_263,c_254,c_244,c_369]) ).

tcf(c_512,negated_conjecture,
    ! [X0: $i] :
      ( hskp9
      | c2_1(X0)
      | c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_368,c_271,c_263,c_254,c_244,c_368]) ).

tcf(c_518,negated_conjecture,
    ! [X0: $i] :
      ( hskp19
      | hskp27
      | c1_1(X0)
      | c3_1(X0)
      | ~ c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_377,c_271,c_263,c_254,c_244,c_377]) ).

tcf(c_542,plain,
    ! [X0: $i] :
      ( hskp23
      | hskp28
      | c3_1(X0)
      | ~ c0_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_383,c_271,c_263,c_254,c_244,c_383]) ).

tcf(c_543,negated_conjecture,
    ! [X0: $i] :
      ( hskp23
      | hskp28
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_542]) ).

tcf(c_545,plain,
    ! [X0: $i] :
      ( hskp0
      | hskp22
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_382,c_271,c_263,c_254,c_244,c_382]) ).

tcf(c_546,negated_conjecture,
    ! [X0: $i] :
      ( hskp0
      | hskp22
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_545]) ).

tcf(c_548,plain,
    ! [X0: $i] :
      ( hskp5
      | hskp29
      | c1_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_381,c_271,c_263,c_254,c_244,c_381]) ).

tcf(c_549,negated_conjecture,
    ! [X0: $i] :
      ( hskp5
      | hskp29
      | c1_1(X0)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_548]) ).

tcf(c_569,plain,
    ! [X0: $i] :
      ( hskp3
      | hskp4
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_385,c_271,c_263,c_254,c_244,c_385]) ).

tcf(c_570,negated_conjecture,
    ! [X0: $i] :
      ( hskp3
      | hskp4
      | ~ c1_1(X0)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_569]) ).

tcf(c_572,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp2
      | c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X0)
      | c0_1(X1)
      | c0_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_389,c_271,c_263,c_254,c_244,c_389]) ).

tcf(c_575,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp28
      | c3_1(X1)
      | c3_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | c0_1(X0)
      | ~ c2_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_390,c_271,c_263,c_254,c_244,c_390]) ).

tcf(c_588,plain,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_397,c_271,c_263,c_254,c_244,c_397]) ).

tcf(c_589,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp7
      | c1_1(X0)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_588]) ).

tcf(c_590,plain,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_396,c_271,c_263,c_254,c_244,c_396]) ).

tcf(c_591,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp11
      | c2_1(X1)
      | c2_1(X0)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0) ),
    inference(renaming,[status(thm)],[c_590]) ).

tcf(c_593,plain,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_395,c_271,c_263,c_254,c_244,c_395]) ).

tcf(c_594,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp10
      | c1_1(X0)
      | c2_1(X1)
      | c0_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c2_1(X0) ),
    inference(renaming,[status(thm)],[c_593]) ).

tcf(c_595,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_404,c_404,c_444]) ).

tcf(c_596,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_595]) ).

tcf(c_601,plain,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X0)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_401,c_271,c_263,c_254,c_244,c_401]) ).

tcf(c_602,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp16
      | c1_1(X0)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_601]) ).

tcf(c_605,plain,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c1_1(X1)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_399,c_271,c_263,c_254,c_244,c_399]) ).

tcf(c_606,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp6
      | c1_1(X1)
      | c0_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_605]) ).

tcf(c_607,plain,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X1)
      | ~ c1_1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_407,c_271,c_263,c_254,c_244,c_407]) ).

tcf(c_608,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp0
      | c3_1(X1)
      | ~ c1_1(X0)
      | ~ c2_1(X1)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_607]) ).

tcf(c_610,plain,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_406,c_271,c_263,c_254,c_244,c_406]) ).

tcf(c_611,negated_conjecture,
    ! [X0: $i,X1: $i] :
      ( hskp23
      | c2_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_610]) ).

tcf(c_619,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_410,c_271,c_263,c_254,c_244,c_410]) ).

tcf(c_620,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X2)
      | c3_1(X0)
      | c2_1(X2)
      | c2_1(X1)
      | c2_1(X0)
      | ~ c1_1(X2)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_619]) ).

tcf(c_623,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X0)
      | ~ c2_1(X2)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_413,c_271,c_263,c_254,c_244,c_413]) ).

tcf(c_624,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c3_1(X1)
      | c3_1(X0)
      | c0_1(X2)
      | ~ c1_1(X2)
      | ~ c2_1(X2)
      | ~ c2_1(X0)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_623]) ).

tcf(c_627,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c2_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_411,c_271,c_263,c_254,c_244,c_411]) ).

tcf(c_628,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c2_1(X0)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X2)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_627]) ).

tcf(c_629,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c3_1(X1)
      | ~ c3_1(X2)
      | ~ c1_1(X0)
      | ~ c1_1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_415,c_271,c_263,c_254,c_244,c_415]) ).

tcf(c_630,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c2_1(X2)
      | c0_1(X2)
      | c0_1(X1)
      | ~ c1_1(X1)
      | ~ c1_1(X0)
      | ~ c3_1(X2)
      | ~ c3_1(X1)
      | ~ c3_1(X0)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_629]) ).

tcf(c_631,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | ~ c0_1(X0)
      | ~ c0_1(X1)
      | ~ c2_1(X1)
      | ~ c2_1(X2)
      | ~ c3_1(X0)
      | ~ c3_1(X2)
      | ~ c1_1(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_416,c_271,c_263,c_254,c_244,c_416]) ).

tcf(c_632,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( c1_1(X1)
      | c1_1(X0)
      | ~ c1_1(X2)
      | ~ c3_1(X2)
      | ~ c3_1(X0)
      | ~ c2_1(X2)
      | ~ c2_1(X1)
      | ~ c0_1(X1)
      | ~ c0_1(X0) ),
    inference(renaming,[status(thm)],[c_631]) ).

tcf(c_1073,plain,
    ! [X0: $i,X1: $i] :
      ( hskp8
      | c1_1(X1)
      | c2_1(X0)
      | ~ c1_1(X0)
      | ~ c3_1(X1)
      | ~ c0_1(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_596,c_506]) ).

tcf(c_1747,plain,
    ( hskp12
    | hskp14
    | ~ c3_1(a352) ),
    inference(resolution,[status(thm)],[c_272,c_324]) ).

tcf(c_1757,plain,
    ( hskp12
    | hskp14
    | ~ c2_1(a352) ),
    inference(resolution,[status(thm)],[c_272,c_323]) ).

tcf(c_1767,plain,
    ( hskp12
    | hskp14
    | c1_1(a352) ),
    inference(resolution,[status(thm)],[c_272,c_286]) ).

tcf(c_2725,plain,
    ! [X0: $i] :
      ( hskp23
      | c3_1(a278)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_543,c_282]) ).

tcf(c_2726,plain,
    ( hskp23
    | c3_1(a267)
    | c3_1(a278)
    | ~ c1_1(a267)
    | ~ c0_1(a267) ),
    inference(instantiation,[status(thm)],[c_2725]) ).

tcf(c_2742,plain,
    ! [X0: $i] :
      ( hskp23
      | c1_1(a278)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_543,c_281]) ).

tcf(c_2743,plain,
    ( hskp23
    | c1_1(a278)
    | c3_1(a267)
    | ~ c1_1(a267)
    | ~ c0_1(a267) ),
    inference(instantiation,[status(thm)],[c_2742]) ).

tcf(c_2759,plain,
    ! [X0: $i] :
      ( hskp23
      | c0_1(a278)
      | c3_1(X0)
      | ~ c1_1(X0)
      | ~ c0_1(X0) ),
    inference(resolution,[status(thm)],[c_543,c_280]) ).

tcf(c_2760,plain,
    ( hskp23
    | c3_1(a267)
    | c0_1(a278)
    | ~ c1_1(a267)
    | ~ c0_1(a267) ),
    inference(instantiation,[status(thm)],[c_2759]) ).

tcf(c_3343,plain,
    ( hskp0
    | hskp19
    | ~ c1_1(a280) ),
    inference(resolution,[status(thm)],[c_271,c_349]) ).

tcf(c_3353,plain,
    ( hskp0
    | hskp19
    | c3_1(a280) ),
    inference(resolution,[status(thm)],[c_271,c_309]) ).

tcf(c_3363,plain,
    ( hskp0
    | hskp19
    | c2_1(a280) ),
    inference(resolution,[status(thm)],[c_271,c_308]) ).

tcf(c_5254,plain,
    ( hskp0
    | hskp9
    | ~ c3_1(a303) ),
    inference(resolution,[status(thm)],[c_271,c_334]) ).

tcf(c_5264,plain,
    ( hskp0
    | hskp9
    | c2_1(a303) ),
    inference(resolution,[status(thm)],[c_271,c_294]) ).

tcf(c_14175,plain,
    ! [X0: $i] :
      ( ~ iPr_def_11
      | ~ c0_1(X0)
      | c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_11])],[c_1073]) ).

tcf(c_14179,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_14
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_14])],[c_632]) ).

tcf(c_14181,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_15
      | c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_15])],[c_630]) ).

tcf(c_14182,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_16
      | c0_1(X0)
      | c2_1(X0)
      | ~ c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_16])],[c_630]) ).

tcf(c_14183,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_17
      | ~ c0_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_17])],[c_630]) ).

tcf(c_14185,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_18
      | c0_1(X0)
      | ~ c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_18])],[c_628]) ).

tcf(c_14186,negated_conjecture,
    ( iPr_def_18
    | iPr_def_15
    | iPr_def_11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_628]) ).

tcf(c_14190,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_21
      | c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_21])],[c_624]) ).

tcf(c_14191,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_22
      | ~ c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_22])],[c_624]) ).

tcf(c_14192,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_23
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_23])],[c_624]) ).

tcf(c_14193,negated_conjecture,
    ( iPr_def_23
    | iPr_def_22
    | iPr_def_21 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_624]) ).

tcf(c_14197,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_26
      | c2_1(X0)
      | c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_26])],[c_620]) ).

tcf(c_14198,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_27
      | ~ c0_1(X0)
      | c2_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_27])],[c_620]) ).

tcf(c_14199,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_28
      | ~ c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_28])],[c_620]) ).

tcf(c_14200,negated_conjecture,
    ( iPr_def_28
    | iPr_def_27
    | iPr_def_26 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_620]) ).

tcf(c_14208,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_33
      | c2_1(X0)
      | ~ c3_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_33])],[c_611]) ).

tcf(c_14209,negated_conjecture,
    ( iPr_def_33
    | iPr_def_17
    | hskp23 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_611]) ).

tcf(c_14210,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_34
      | ~ c0_1(X0)
      | ~ c2_1(X0)
      | ~ c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_34])],[c_608]) ).

tcf(c_14211,negated_conjecture,
    ( iPr_def_34
    | iPr_def_23
    | hskp0 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_608]) ).

tcf(c_14212,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_35
      | c0_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_35])],[c_606]) ).

tcf(c_14213,negated_conjecture,
    ( iPr_def_35
    | iPr_def_34
    | hskp6 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_606]) ).

tcf(c_14216,negated_conjecture,
    ( iPr_def_15
    | iPr_def_14
    | hskp16 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_602]) ).

tcf(c_14219,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_37
      | ~ c2_1(X0)
      | ~ c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_37])],[c_594]) ).

tcf(c_14221,negated_conjecture,
    ( iPr_def_33
    | iPr_def_16
    | hskp11 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_591]) ).

tcf(c_14222,negated_conjecture,
    ( iPr_def_33
    | iPr_def_27
    | hskp7 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_589]) ).

tcf(c_14228,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_38
      | c0_1(X0)
      | c2_1(X0)
      | c3_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_38])],[c_575]) ).

tcf(c_14231,negated_conjecture,
    ! [X0: $i] :
      ( ~ iPr_def_40
      | c0_1(X0)
      | c3_1(X0)
      | c1_1(X0) ),
    inference(splitting,[splitting(split),new_symbols(definition,[iPr_def_40])],[c_572]) ).

tcf(c_14232,negated_conjecture,
    ( iPr_def_40
    | iPr_def_38
    | hskp2 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_572]) ).

tcf(c_14233,negated_conjecture,
    ( iPr_def_34
    | hskp3
    | hskp4 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_570]) ).

tcf(c_14240,negated_conjecture,
    ( iPr_def_37
    | hskp5
    | hskp29 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_549]) ).

tcf(c_14241,negated_conjecture,
    ( iPr_def_37
    | hskp0
    | hskp22 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_546]) ).

tcf(c_14250,negated_conjecture,
    ( iPr_def_22
    | hskp19
    | hskp27 ),
    inference(splitting,[splitting(split),new_symbols(definition,[])],[c_518]) ).

tcf(c_14260,plain,
    ( c1_1(a267)
    | c3_1(a267)
    | ~ iPr_def_22
    | ~ c0_1(a267) ),
    inference(instantiation,[status(thm)],[c_14191]) ).

tcf(c_14262,plain,
    ( c3_1(a267)
    | c2_1(a267)
    | ~ iPr_def_26
    | ~ c1_1(a267) ),
    inference(instantiation,[status(thm)],[c_14197]) ).

tcf(c_14263,plain,
    ( c1_1(a267)
    | c2_1(a267)
    | ~ iPr_def_27
    | ~ c0_1(a267) ),
    inference(instantiation,[status(thm)],[c_14198]) ).

tcf(c_14264,plain,
    ( c3_1(a267)
    | c2_1(a267)
    | ~ iPr_def_28
    | ~ c0_1(a267) ),
    inference(instantiation,[status(thm)],[c_14199]) ).

tcf(c_14300,plain,
    ( c1_1(a280)
    | ~ iPr_def_14
    | ~ c3_1(a280)
    | ~ c0_1(a280) ),
    inference(instantiation,[status(thm)],[c_14179]) ).

tcf(c_14303,plain,
    ( c0_1(a287)
    | ~ iPr_def_15
    | ~ c1_1(a287)
    | ~ c3_1(a287) ),
    inference(instantiation,[status(thm)],[c_14181]) ).

tcf(c_14308,plain,
    ( c0_1(a276)
    | ~ iPr_def_21
    | ~ c1_1(a276)
    | ~ c2_1(a276) ),
    inference(instantiation,[status(thm)],[c_14190]) ).

tcf(c_14310,plain,
    ( c0_1(a303)
    | ~ iPr_def_21
    | ~ c1_1(a303)
    | ~ c2_1(a303) ),
    inference(instantiation,[status(thm)],[c_14190]) ).

tcf(c_14313,plain,
    ( c0_1(a273)
    | ~ iPr_def_21
    | ~ c1_1(a273)
    | ~ c2_1(a273) ),
    inference(instantiation,[status(thm)],[c_14190]) ).

tcf(c_14325,plain,
    ( c3_1(a287)
    | c2_1(a287)
    | ~ iPr_def_26
    | ~ c1_1(a287) ),
    inference(instantiation,[status(thm)],[c_14197]) ).

tcf(c_14326,plain,
    ( c3_1(a274)
    | c2_1(a274)
    | ~ iPr_def_26
    | ~ c1_1(a274) ),
    inference(instantiation,[status(thm)],[c_14197]) ).

tcf(c_14342,plain,
    ( c1_1(a313)
    | c2_1(a313)
    | ~ iPr_def_27
    | ~ c0_1(a313) ),
    inference(instantiation,[status(thm)],[c_14198]) ).

tcf(c_14348,plain,
    ( c1_1(a269)
    | c2_1(a269)
    | ~ iPr_def_27
    | ~ c0_1(a269) ),
    inference(instantiation,[status(thm)],[c_14198]) ).

tcf(c_14361,plain,
    ( hskp9
    | c2_1(a287)
    | c0_1(a287)
    | ~ c1_1(a287) ),
    inference(instantiation,[status(thm)],[c_512]) ).

tcf(c_14370,plain,
    ( c1_1(a282)
    | c0_1(a282)
    | ~ iPr_def_18
    | ~ c2_1(a282) ),
    inference(instantiation,[status(thm)],[c_14185]) ).

tcf(c_14389,plain,
    ( c1_1(a272)
    | c3_1(a272)
    | ~ iPr_def_22
    | ~ c0_1(a272) ),
    inference(instantiation,[status(thm)],[c_14191]) ).

tcf(c_14404,plain,
    ( hskp14
    | c3_1(a303)
    | c0_1(a303)
    | ~ c2_1(a303) ),
    inference(instantiation,[status(thm)],[c_509]) ).

tcf(c_14412,plain,
    ( c3_1(a303)
    | ~ iPr_def_23
    | ~ c2_1(a303)
    | ~ c0_1(a303) ),
    inference(instantiation,[status(thm)],[c_14192]) ).

tcf(c_14427,plain,
    ( hskp14
    | c3_1(a284)
    | c0_1(a284)
    | ~ c2_1(a284) ),
    inference(instantiation,[status(thm)],[c_509]) ).

tcf(c_14458,plain,
    ( c3_1(a274)
    | ~ iPr_def_23
    | ~ c2_1(a274)
    | ~ c0_1(a274) ),
    inference(instantiation,[status(thm)],[c_14192]) ).

tcf(c_14499,plain,
    ( c2_1(a278)
    | ~ iPr_def_33
    | ~ c1_1(a278)
    | ~ c3_1(a278) ),
    inference(instantiation,[status(thm)],[c_14208]) ).

tcf(c_14551,plain,
    ( ~ iPr_def_17
    | ~ c1_1(a278)
    | ~ c3_1(a278)
    | ~ c0_1(a278) ),
    inference(instantiation,[status(thm)],[c_14183]) ).

tcf(c_14596,plain,
    ( c1_1(a280)
    | ~ iPr_def_37
    | ~ c3_1(a280)
    | ~ c2_1(a280) ),
    inference(instantiation,[status(thm)],[c_14219]) ).

tcf(c_14623,plain,
    ( c3_1(a352)
    | c2_1(a352)
    | ~ iPr_def_26
    | ~ c1_1(a352) ),
    inference(instantiation,[status(thm)],[c_14197]) ).

tcf(c_14626,plain,
    ( c2_1(a287)
    | ~ iPr_def_33
    | ~ c1_1(a287)
    | ~ c3_1(a287) ),
    inference(instantiation,[status(thm)],[c_14208]) ).

tcf(c_14628,plain,
    ( c2_1(a287)
    | c0_1(a287)
    | ~ iPr_def_16
    | ~ c3_1(a287) ),
    inference(instantiation,[status(thm)],[c_14182]) ).

tcf(c_14661,plain,
    ( c1_1(a280)
    | c0_1(a280)
    | ~ iPr_def_35
    | ~ c3_1(a280) ),
    inference(instantiation,[status(thm)],[c_14212]) ).

tcf(c_14724,plain,
    ( ~ iPr_def_34
    | ~ c1_1(a304)
    | ~ c2_1(a304)
    | ~ c0_1(a304) ),
    inference(instantiation,[status(thm)],[c_14210]) ).

tcf(c_14725,plain,
    ( ~ iPr_def_34
    | ~ c1_1(a276)
    | ~ c2_1(a276)
    | ~ c0_1(a276) ),
    inference(instantiation,[status(thm)],[c_14210]) ).

tcf(c_14727,plain,
    ( ~ iPr_def_34
    | ~ c1_1(a303)
    | ~ c2_1(a303)
    | ~ c0_1(a303) ),
    inference(instantiation,[status(thm)],[c_14210]) ).

tcf(c_14734,plain,
    ( ~ iPr_def_34
    | ~ c1_1(a278)
    | ~ c2_1(a278)
    | ~ c0_1(a278) ),
    inference(instantiation,[status(thm)],[c_14210]) ).

tcf(c_14826,plain,
    ( c1_1(a270)
    | c2_1(a270)
    | ~ iPr_def_27
    | ~ c0_1(a270) ),
    inference(instantiation,[status(thm)],[c_14198]) ).

tcf(c_14864,plain,
    ( c3_1(a287)
    | c2_1(a287)
    | c0_1(a287)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_14228]) ).

tcf(c_14869,plain,
    ( c3_1(a271)
    | c2_1(a271)
    | c0_1(a271)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_14228]) ).

tcf(c_14872,plain,
    ( c3_1(a313)
    | c2_1(a313)
    | c0_1(a313)
    | ~ iPr_def_38 ),
    inference(instantiation,[status(thm)],[c_14228]) ).

tcf(c_15071,plain,
    ( c1_1(a313)
    | c3_1(a313)
    | c0_1(a313)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_14231]) ).

tcf(c_15073,plain,
    ( c1_1(a271)
    | c3_1(a271)
    | c0_1(a271)
    | ~ iPr_def_40 ),
    inference(instantiation,[status(thm)],[c_14231]) ).

tcf(c_15117,plain,
    ( c2_1(a270)
    | ~ iPr_def_33
    | ~ c1_1(a270)
    | ~ c3_1(a270) ),
    inference(instantiation,[status(thm)],[c_14208]) ).

tcf(c_15137,plain,
    ( hskp14
    | c3_1(a271)
    | c0_1(a271)
    | ~ c2_1(a271) ),
    inference(instantiation,[status(thm)],[c_509]) ).

tcf(c_15146,plain,
    ( c3_1(a311)
    | ~ iPr_def_23
    | ~ c2_1(a311)
    | ~ c0_1(a311) ),
    inference(instantiation,[status(thm)],[c_14192]) ).

tcf(c_15211,plain,
    ( c2_1(a293)
    | ~ iPr_def_11
    | ~ c1_1(a293)
    | ~ c0_1(a293) ),
    inference(instantiation,[status(thm)],[c_14175]) ).

tcf(c_15233,plain,
    $false,
    inference(prop_impl_just,[status(thm)],[c_15211,c_15146,c_15137,c_15117,c_15073,c_15071,c_14872,c_14869,c_14864,c_14826,c_14734,c_14727,c_14725,c_14724,c_14661,c_14626,c_14628,c_14623,c_14596,c_14551,c_14499,c_14458,c_14427,c_14412,c_14404,c_14389,c_14370,c_14361,c_14348,c_14342,c_14326,c_14325,c_14313,c_14310,c_14308,c_14303,c_14300,c_14264,c_14263,c_14262,c_14260,c_14250,c_14241,c_14240,c_14233,c_14232,c_14222,c_14221,c_14216,c_14213,c_14211,c_14209,c_14200,c_14193,c_14186,c_5264,c_5254,c_3363,c_3353,c_3343,c_2760,c_2743,c_2726,c_1767,c_1757,c_1747,c_327,c_328,c_329,c_330,c_334,c_338,c_340,c_341,c_343,c_344,c_345,c_346,c_349,c_353,c_354,c_355,c_356,c_357,c_358,c_359,c_360,c_361,c_362,c_365,c_366,c_277,c_278,c_279,c_283,c_284,c_288,c_289,c_293,c_294,c_298,c_299,c_302,c_305,c_306,c_308,c_309,c_310,c_311,c_312,c_313,c_314,c_315,c_316,c_317,c_319]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN462-1 : TPTP v9.3.1. Released v2.1.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.11/5.38  % Computer : n015.cluster.edu
% 0.11/5.38  % Model    : x86_64 x86_64
% 0.11/5.38  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/5.38  % Memory   : 8046.5625MB
% 0.11/5.38  % OS       : Linux 6.8.0-71-generic
% 0.11/5.38  % CPULimit : 300
% 0.11/5.38  % WCLimit  : 300
% 0.11/5.38  % DateTime : Fri Sep 25 01:23:02 UTC 2026
% 0.11/5.39  % CPUTime  : 
% 0.11/5.39  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.16/5.42  Running EPR theorem proving
% 0.16/5.42  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s epr_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.16/5.44  
% 0.16/5.44  % ======== iProver multi-core TPTP/SMT =========
% 0.16/5.44  
% 0.16/5.44  % Detected problem language: tptp
% 0.16/5.45  % Proving...
% 3.03/6.16  % SZS status Started for theBenchmark.p
% 3.03/6.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.03/6.16  
% 3.03/6.16  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 3.03/6.16  
% 3.03/6.16  % ------  iProver source info
% 3.03/6.16  
% 3.03/6.16  % git: date: 2026-07-19 20:42:38 +0200
% 3.03/6.16  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 3.03/6.16  % git: non_committed_changes: false
% 3.03/6.16  
% 3.03/6.16  % ------ Parsing...% successful
% 3.03/6.16  
% 3.03/6.16  
% 3.03/6.16  % ------ Clausification by vclausify_rel  & Parsing by iProver...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.03/6.16  % 
% 3.03/6.16  
% 3.03/6.16  % ------ Preprocessing... sf_s  rm: 1 0s  sf_e  pe_s  pe:1:0s pe:2:0s pe_e  sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 3.03/6.16  
% 3.03/6.16  % ------ Preprocessing...% ------  preprocesses with Option_epr_non_horn_non_eq
% 3.03/6.16   gs_s  sp: 84 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 3.03/6.16  % ------ Proving...
% 3.03/6.16  % ------ Problem Properties 
% 3.03/6.16  
% 3.03/6.16  % 
% 3.03/6.16  % clauses                               182
% 3.03/6.16  % conjectures                           173
% 3.03/6.16  % EPR                                   182
% 3.03/6.16  % Horn                                  102
% 3.03/6.16  % unary                                 0
% 3.03/6.16  % binary                                87
% 3.03/6.16  % lits                                  492
% 3.03/6.16  % lits eq                               0
% 3.03/6.16  % fd_pure                               0
% 3.03/6.16  % fd_pseudo                             0
% 3.03/6.16  % fd_cond                               0
% 3.03/6.16  % fd_pseudo_cond                        0
% 3.03/6.16  % AC symbols                            0
% 3.03/6.16  
% 3.03/6.16  % ------ Schedule EPR non Horn non eq is on
% 3.03/6.16  
% 3.03/6.16  % ------ no equalities: superposition off 
% 3.03/6.16  
% 3.03/6.16  % ------ Input Options "--resolution_flag false" Time Limit: 70.
% 3.03/6.16  
% 3.03/6.16  
% 3.03/6.16  % ------ 
% 3.03/6.16  % Current options:
% 3.03/6.16  % ------ 
% 3.03/6.16  
% 3.03/6.16  
% 3.03/6.16  % 
% 3.03/6.16  
% 3.03/6.16  % ------ Proving...
% 3.03/6.16  % 
% 3.03/6.16  
% 3.03/6.16  % SZS status Unsatisfiable for theBenchmark.p
% 3.03/6.16  
% 3.03/6.16  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 3.03/6.16  
% 3.03/6.16  
%------------------------------------------------------------------------------