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iProver---3.9.4.UNS-CRf.s

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%------------------------------------------------------------------------------
% File     : iProver---3.9.4
% Problem  : SYN802-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM

% Computer : n006.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 03:41:47 PM UTC 2026

% Result   : Unsatisfiable 52.38s 12.36s
% Output   : CNFRefutation 84.12s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats ran out of CPU time)

% Comments : 
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
    ! [X0] : ssRr(skf3(X0),X0),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause1) ).

fof(f2,negated_conjecture,
    ! [X0] : ssRr(X0,skf2(X0)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause2) ).

fof(f3,negated_conjecture,
    ! [X2,X0,X1] :
      ( ssPv3(X2)
      | ssPv1(X0)
      | ~ ssPv4(X2)
      | ~ ssPv1(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause3) ).

fof(f4,negated_conjecture,
    ! [X2,X0,X1] :
      ( ~ ssPv4(X2)
      | ~ ssPv3(X2)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X0)
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause4) ).

fof(f5,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ssPv3(X2)
      | ssPv1(X3)
      | ssPv4(X0)
      | ~ ssPv4(X2)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause5) ).

fof(f6,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ssPv3(X2)
      | ssPv1(X3)
      | ssPv1(X0)
      | ~ ssPv4(X2)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause6) ).

fof(f7,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ssPv2(X1)
      | ssPv1(X3)
      | ssPv2(X0)
      | ~ ssPv3(X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause7) ).

fof(f8,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ssPv3(X2)
      | ssPv2(X2)
      | ssPv3(X0)
      | ~ ssPv4(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause8) ).

fof(f9,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ssPv1(X2)
      | ssPv2(X3)
      | ssPv4(X1)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause9) ).

fof(f10,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ssPv4(X3)
      | ssPv2(X0)
      | ~ ssPv4(X2)
      | ~ ssPv2(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause10) ).

fof(f11,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ssPv2(X1)
      | ssPv4(X0)
      | ~ ssPv1(X1)
      | ~ ssRr(X1,X2)
      | ~ ssPv3(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause11) ).

fof(f12,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ssPv3(X2)
      | ssPv2(X2)
      | ~ ssPv2(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssPv2(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause12) ).

fof(f13,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ssPv4(X2)
      | ssPv3(X3)
      | ~ ssPv1(X2)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssPv3(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause13) ).

fof(f14,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ssPv3(X2)
      | ssPv3(X0)
      | ~ ssPv4(X2)
      | ~ ssPv2(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause14) ).

fof(f15,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ssPv2(X1)
      | ssPv1(X1)
      | ~ ssRr(X1,X2)
      | ~ ssPv2(X3)
      | ~ ssRr(X2,X3)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause15) ).

fof(f16,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ssPv1(X3)
      | ~ ssPv3(X2)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause16) ).

fof(f17,negated_conjecture,
    ! [X2,X3,X0,X1] :
      ( ssPv1(X3)
      | ~ ssPv3(X1)
      | ~ ssPv1(X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause17) ).

fof(f18,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv4(X1)
      | ssPv3(X4)
      | ssPv1(X2)
      | ssPv3(X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause18) ).

fof(f19,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv4(X2)
      | ssPv2(X2)
      | ssPv3(X4)
      | ssPv2(X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause19) ).

fof(f20,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv3(X2)
      | ssPv2(X2)
      | ssPv1(X0)
      | ~ ssRr(X2,X3)
      | ~ ssPv1(X4)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause20) ).

fof(f21,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv4(X2)
      | ssPv1(X2)
      | ssPv3(X3)
      | ~ ssRr(X4,X2)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause21) ).

fof(f22,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv4(X2)
      | ssPv1(X2)
      | ssPv4(X4)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv2(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause22) ).

fof(f23,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv2(X1)
      | ssPv4(X3)
      | ssPv1(X0)
      | ~ ssPv1(X4)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause23) ).

fof(f24,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv3(X2)
      | ssPv4(X0)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X3)
      | ~ ssPv4(X4)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause24) ).

fof(f25,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv4(X2)
      | ssPv1(X0)
      | ~ ssPv4(X4)
      | ~ ssRr(X2,X4)
      | ~ ssPv3(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause25) ).

fof(f26,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv4(X2)
      | ssPv3(X3)
      | ~ ssPv3(X4)
      | ~ ssRr(X2,X4)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssPv3(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause26) ).

fof(f27,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv1(X2)
      | ssPv3(X4)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause27) ).

fof(f28,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv1(X4)
      | ssPv1(X0)
      | ~ ssPv2(X2)
      | ~ ssRr(X2,X4)
      | ~ ssPv1(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause28) ).

fof(f29,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv1(X2)
      | ssPv3(X4)
      | ~ ssPv3(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause29) ).

fof(f30,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv1(X2)
      | ssPv1(X4)
      | ~ ssPv2(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause30) ).

fof(f31,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv2(X2)
      | ssPv1(X3)
      | ~ ssPv1(X2)
      | ~ ssRr(X4,X2)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause31) ).

fof(f32,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv3(X4)
      | ssPv2(X0)
      | ~ ssPv4(X1)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause32) ).

fof(f33,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv4(X4)
      | ssPv4(X0)
      | ~ ssPv2(X2)
      | ~ ssRr(X2,X4)
      | ~ ssPv3(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause33) ).

fof(f34,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv4(X4)
      | ~ ssPv4(X2)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause34) ).

fof(f35,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv4(X2)
      | ~ ssPv4(X4)
      | ~ ssRr(X2,X4)
      | ~ ssPv2(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause35) ).

fof(f36,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ssPv3(X2)
      | ~ ssPv2(X2)
      | ~ ssRr(X4,X2)
      | ~ ssPv3(X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause36) ).

fof(f37,negated_conjecture,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ssPv1(X2)
      | ssPv3(X5)
      | ssPv1(X4)
      | ssPv4(X1)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause37) ).

fof(f38,negated_conjecture,
    ! [X2,X3,X0,X1,X4] :
      ( ~ ssPv4(X1)
      | ~ ssPv4(X4)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv3(X3)
      | ~ ssRr(X2,X3)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause38) ).

fof(f39,negated_conjecture,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ssPv4(X2)
      | ssPv1(X4)
      | ssPv4(X1)
      | ~ ssPv2(X5)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause39) ).

fof(f40,negated_conjecture,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ssPv4(X2)
      | ssPv3(X5)
      | ssPv4(X4)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv2(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause40) ).

fof(f41,negated_conjecture,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ssPv4(X2)
      | ssPv1(X4)
      | ~ ssPv4(X5)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv3(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause41) ).

fof(f42,negated_conjecture,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ssPv1(X5)
      | ssPv3(X3)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X4)
      | ~ ssRr(X4,X5)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssPv2(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause42) ).

fof(f43,negated_conjecture,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ssPv4(X2)
      | ssPv1(X5)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X2,X3)
      | ~ ssPv1(X4)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv2(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause43) ).

fof(f44,negated_conjecture,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ssPv1(X2)
      | ssPv4(X5)
      | ~ ssRr(X2,X4)
      | ~ ssRr(X4,X5)
      | ~ ssPv2(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause44) ).

fof(f45,negated_conjecture,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ssPv2(X2)
      | ssPv2(X0)
      | ~ ssRr(X2,X4)
      | ~ ssPv3(X5)
      | ~ ssRr(X4,X5)
      | ~ ssPv1(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause45) ).

fof(f46,negated_conjecture,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ssPv2(X1)
      | ssPv4(X0)
      | ~ ssRr(X1,X4)
      | ~ ssPv1(X5)
      | ~ ssRr(X4,X5)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause46) ).

fof(f47,negated_conjecture,
    ! [X2,X3,X0,X1,X4,X5] :
      ( ssPv1(X2)
      | ~ ssPv3(X5)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X4,X2)
      | ~ ssPv2(X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv3(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause47) ).

fof(f48,negated_conjecture,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ssPv4(X2)
      | ssPv2(X3)
      | ssPv3(X0)
      | ~ ssRr(X2,X5)
      | ~ ssPv3(X6)
      | ~ ssRr(X5,X6)
      | ~ ssRr(X4,X2)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause48) ).

fof(f49,negated_conjecture,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ssPv1(X6)
      | ssPv1(X3)
      | ~ ssPv2(X2)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X5,X6)
      | ~ ssRr(X4,X2)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause49) ).

fof(f51,negated_conjecture,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ssPv2(X6)
      | ssPv4(X4)
      | ~ ssPv3(X2)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X5,X6)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause51) ).

fof(f52,negated_conjecture,
    ! [X2,X3,X0,X1,X6,X4,X5] :
      ( ssPv3(X5)
      | ~ ssPv1(X2)
      | ~ ssRr(X6,X2)
      | ~ ssRr(X5,X6)
      | ~ ssRr(X4,X2)
      | ~ ssPv1(X3)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',clause52) ).

tcf(c_101,negated_conjecture,
    ! [X0: $i] : ssRr(skf3(X0),X0),
    inference(cnf_transformation,[],[f1]) ).

tcf(c_102,negated_conjecture,
    ! [X0: $i] : ssRr(X0,skf2(X0)),
    inference(cnf_transformation,[],[f2]) ).

tcf(c_103,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv1(X2)
      | ~ ssPv4(X1)
      | ~ ssPv1(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f3]) ).

tcf(c_104,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ssPv2(X1)
      | ~ ssPv3(X2)
      | ~ ssPv4(X2)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f4]) ).

tcf(c_105,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X1)
      | ssPv4(X2)
      | ssPv1(X3)
      | ~ ssPv4(X1)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f5]) ).

tcf(c_106,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X1)
      | ssPv1(X3)
      | ssPv1(X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f6]) ).

tcf(c_107,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X2)
      | ssPv2(X0)
      | ssPv1(X3)
      | ~ ssPv3(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f7]) ).

tcf(c_108,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X1)
      | ssPv3(X2)
      | ssPv3(X1)
      | ~ ssPv4(X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f8]) ).

tcf(c_109,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X3)
      | ssPv4(X1)
      | ssPv1(X2)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f9]) ).

tcf(c_110,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X2)
      | ssPv4(X3)
      | ~ ssPv2(X1)
      | ~ ssPv4(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f10]) ).

tcf(c_111,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X0)
      | ssPv4(X2)
      | ~ ssPv3(X3)
      | ~ ssPv1(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f11]) ).

tcf(c_112,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ~ ssPv2(X3)
      | ~ ssPv2(X2)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f12]) ).

tcf(c_113,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X3)
      | ssPv4(X1)
      | ~ ssPv3(X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f13]) ).

tcf(c_114,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv3(X1)
      | ~ ssPv2(X3)
      | ~ ssPv4(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f14]) ).

tcf(c_115,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ~ ssPv2(X3)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f15]) ).

tcf(c_116,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ~ ssPv3(X2)
      | ~ ssPv1(X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f16]) ).

tcf(c_117,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ~ ssPv3(X0)
      | ~ ssPv1(X2)
      | ~ ssPv1(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f17]) ).

tcf(c_118,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X4)
      | ssPv3(X2)
      | ssPv4(X0)
      | ssPv1(X3)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f18]) ).

tcf(c_119,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv2(X2)
      | ssPv2(X1)
      | ssPv3(X4)
      | ssPv4(X1)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f19]) ).

tcf(c_120,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ssPv1(X2)
      | ~ ssPv1(X4)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f20]) ).

tcf(c_121,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X3)
      | ssPv4(X1)
      | ssPv1(X1)
      | ~ ssPv1(X2)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f21]) ).

tcf(c_122,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X4)
      | ssPv4(X1)
      | ssPv1(X1)
      | ~ ssPv2(X2)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f22]) ).

tcf(c_123,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv2(X0)
      | ssPv4(X4)
      | ssPv1(X3)
      | ~ ssPv1(X2)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f23]) ).

tcf(c_124,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X1)
      | ssPv4(X2)
      | ~ ssPv4(X4)
      | ~ ssPv4(X1)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f24]) ).

tcf(c_125,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X1)
      | ssPv1(X2)
      | ~ ssPv3(X4)
      | ~ ssPv4(X3)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f25]) ).

tcf(c_126,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X4)
      | ssPv4(X1)
      | ~ ssPv3(X3)
      | ~ ssPv3(X2)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f26]) ).

tcf(c_127,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X4)
      | ssPv1(X2)
      | ~ ssPv4(X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f27]) ).

tcf(c_128,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv1(X3)
      | ssPv1(X2)
      | ~ ssPv2(X1)
      | ~ ssPv1(X4)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f28]) ).

tcf(c_129,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X4)
      | ssPv1(X1)
      | ~ ssPv3(X1)
      | ~ ssPv4(X2)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f29]) ).

tcf(c_130,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv1(X4)
      | ssPv1(X2)
      | ~ ssPv2(X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f30]) ).

tcf(c_131,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv2(X1)
      | ssPv1(X3)
      | ~ ssPv1(X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f31]) ).

tcf(c_132,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv2(X3)
      | ssPv3(X2)
      | ~ ssPv4(X4)
      | ~ ssPv4(X0)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f32]) ).

tcf(c_133,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X3)
      | ssPv4(X2)
      | ~ ssPv2(X1)
      | ~ ssPv3(X4)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f33]) ).

tcf(c_134,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X4)
      | ~ ssPv4(X2)
      | ~ ssPv1(X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f34]) ).

tcf(c_135,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X1)
      | ~ ssPv2(X4)
      | ~ ssPv4(X3)
      | ~ ssPv4(X2)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f35]) ).

tcf(c_136,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X1)
      | ~ ssPv2(X1)
      | ~ ssPv3(X3)
      | ~ ssPv4(X2)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f36]) ).

tcf(c_137,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv3(X4)
      | ssPv4(X1)
      | ssPv1(X5)
      | ssPv1(X2)
      | ~ ssRr(X3,X5)
      | ~ ssRr(X2,X4)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f37]) ).

tcf(c_138,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ~ ssPv3(X4)
      | ~ ssPv4(X2)
      | ~ ssPv4(X0)
      | ~ ssPv1(X3)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f38]) ).

tcf(c_139,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv4(X2)
      | ssPv4(X1)
      | ssPv1(X5)
      | ~ ssPv2(X4)
      | ~ ssRr(X3,X5)
      | ~ ssRr(X2,X4)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f39]) ).

tcf(c_140,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv3(X4)
      | ssPv4(X5)
      | ssPv4(X1)
      | ~ ssPv2(X2)
      | ~ ssRr(X3,X5)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f40]) ).

tcf(c_141,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv4(X1)
      | ssPv1(X5)
      | ~ ssPv3(X2)
      | ~ ssPv4(X4)
      | ~ ssRr(X3,X5)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f41]) ).

tcf(c_142,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv3(X4)
      | ssPv1(X5)
      | ~ ssPv2(X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X3,X5)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f42]) ).

tcf(c_143,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv4(X1)
      | ssPv1(X4)
      | ~ ssPv2(X2)
      | ~ ssPv1(X5)
      | ~ ssRr(X3,X5)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f43]) ).

tcf(c_144,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv4(X5)
      | ssPv1(X1)
      | ~ ssPv2(X4)
      | ~ ssPv4(X2)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X3,X5)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f44]) ).

tcf(c_145,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv2(X2)
      | ssPv2(X1)
      | ~ ssPv3(X5)
      | ~ ssPv1(X4)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X3,X5)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f45]) ).

tcf(c_146,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv2(X0)
      | ssPv4(X3)
      | ~ ssPv4(X4)
      | ~ ssPv1(X5)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f46]) ).

tcf(c_147,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv1(X1)
      | ~ ssPv2(X4)
      | ~ ssPv3(X3)
      | ~ ssPv3(X2)
      | ~ ssRr(X5,X1)
      | ~ ssRr(X4,X5)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f47]) ).

tcf(c_148,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ssPv2(X4)
      | ssPv3(X2)
      | ssPv4(X1)
      | ~ ssPv3(X6)
      | ~ ssRr(X5,X1)
      | ~ ssRr(X4,X5)
      | ~ ssRr(X3,X6)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f48]) ).

tcf(c_149,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ssPv1(X6)
      | ssPv1(X4)
      | ~ ssPv2(X1)
      | ~ ssPv4(X2)
      | ~ ssRr(X5,X1)
      | ~ ssRr(X4,X5)
      | ~ ssRr(X3,X6)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f49]) ).

tcf(c_151,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ssPv2(X6)
      | ssPv4(X5)
      | ~ ssPv3(X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X4,X6)
      | ~ ssRr(X3,X5)
      | ~ ssRr(X2,X4)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f51]) ).

tcf(c_152,negated_conjecture,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ssPv3(X5)
      | ~ ssPv4(X2)
      | ~ ssPv1(X3)
      | ~ ssPv1(X1)
      | ~ ssRr(X6,X1)
      | ~ ssRr(X5,X6)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(cnf_transformation,[],[f52]) ).

tcf(c_986,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X3)
      | ssPv2(X1)
      | ssPv3(X0)
      | ssPv4(X1)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X1,skf3(X0))
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_119]) ).

tcf(c_987,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X3)
      | ssPv2(X2)
      | ssPv4(X2)
      | ssPv3(skf2(X0))
      | ~ ssRr(X3,X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf2(X0)) ),
    inference(instantiation,[status(thm)],[c_119]) ).

tcf(c_989,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X4)
      | ssPv4(X3)
      | ssPv1(X1)
      | ssPv1(X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X1,skf3(X0))
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_137]) ).

tcf(c_990,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X4)
      | ssPv4(X2)
      | ssPv1(X3)
      | ssPv1(skf2(X0))
      | ~ ssRr(X3,X4)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf2(X0)) ),
    inference(instantiation,[status(thm)],[c_137]) ).

tcf(c_994,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X0)
      | ssPv4(X2)
      | ssPv2(skf3(X1))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,skf3(X0))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_986]) ).

tcf(c_1003,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X1)
      | ssPv2(X0)
      | ssPv4(X1)
      | ssPv3(skf2(X2))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,skf2(X2))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(instantiation,[status(thm)],[c_987]) ).

tcf(c_1005,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X3)
      | ssPv4(X1)
      | ssPv1(X2)
      | ssPv1(X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,skf3(X1))
      | ~ ssRr(X2,skf3(X0))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_989]) ).

tcf(c_1006,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X3)
      | ssPv1(X1)
      | ssPv1(X0)
      | ssPv4(skf2(X2))
      | ~ ssRr(X1,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,skf2(X2))
      | ~ ssRr(X1,skf3(X0))
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_989]) ).

tcf(c_1008,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X0)
      | ssPv4(X3)
      | ssPv1(skf2(X1))
      | ssPv1(skf3(X0))
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(X0),X2)
      | ~ ssRr(skf3(X0),X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_990]) ).

tcf(c_1009,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X3)
      | ssPv1(X1)
      | ssPv3(skf2(X1))
      | ssPv1(skf2(X0))
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X1,X0)
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(X0,skf2(X0)) ),
    inference(instantiation,[status(thm)],[c_990]) ).

tcf(c_1019,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(X1)
      | ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssRr(X0,skf3(X1))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_994]) ).

tcf(c_1024,plain,
    ! [X0: $i] : ssRr(skf3(skf3(X0)),skf3(X0)),
    inference(instantiation,[status(thm)],[c_101]) ).

tcf(c_1028,plain,
    ! [X0: $i] : ssRr(skf2(X0),skf2(skf2(X0))),
    inference(instantiation,[status(thm)],[c_102]) ).

tcf(c_1041,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ssPv4(X1)
      | ssPv1(skf2(X2))
      | ssPv1(skf3(X0))
      | ~ ssRr(X2,skf2(X2))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X2)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(X0),skf3(X1)) ),
    inference(instantiation,[status(thm)],[c_1008]) ).

tcf(c_1043,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X2))
      | ssPv1(skf2(X1))
      | ssPv1(skf3(X0))
      | ~ ssRr(X2,skf2(X2))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(X0),X2)
      | ~ ssRr(skf3(X0),X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_1008]) ).

tcf(c_1047,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X1)
      | ssPv3(skf2(X1))
      | ssPv4(skf2(X2))
      | ssPv1(skf2(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X1,X0)
      | ~ ssRr(X2,skf2(X2))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(X0,skf2(X0)) ),
    inference(instantiation,[status(thm)],[c_1009]) ).

tcf(c_1049,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(X0)
      | ~ ssPv4(X1)
      | ~ ssPv1(X1)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_103]) ).

tcf(c_1050,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_103]) ).

tcf(c_1058,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssPv2(X1)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_104]) ).

tcf(c_1059,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_104]) ).

tcf(c_1076,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv1(X0)
      | ssPv4(skf2(X1))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_1006]) ).

tcf(c_1079,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv4(X0)
      | ssPv1(X1)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssRr(skf3(skf3(X0)),skf3(X1))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_1005]) ).

tcf(c_1096,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(skf2(X1))
      | ssPv2(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf2(skf2(X0)),X1)
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_1003]) ).

tcf(c_1106,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv4(X0)
      | ssPv1(X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_105]) ).

tcf(c_1107,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv1(X0)
      | ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_105]) ).

tcf(c_1126,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv1(X2)
      | ssPv1(X0)
      | ~ ssPv4(X1)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_106]) ).

tcf(c_1127,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(X0)
      | ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_106]) ).

tcf(c_1129,plain,
    ! [X0: $i] : ssRr(skf3(skf2(X0)),skf2(X0)),
    inference(instantiation,[status(thm)],[c_101]) ).

tcf(c_1133,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_1019]) ).

tcf(c_1146,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv1(X2)
      | ssPv2(skf3(X1))
      | ~ ssPv3(skf3(X1))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_107]) ).

tcf(c_1147,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv2(X0)
      | ssPv1(X1)
      | ~ ssPv3(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_107]) ).

tcf(c_1162,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ssPv3(X0)
      | ~ ssPv4(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_108]) ).

tcf(c_1163,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ~ ssPv4(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_108]) ).

tcf(c_1166,plain,
    ! [X0: $i] : ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0)))),
    inference(instantiation,[status(thm)],[c_1028]) ).

tcf(c_1170,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf2(X1))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_1041]) ).

tcf(c_1172,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv1(X2)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_107]) ).

tcf(c_1184,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv4(X1)
      | ssPv1(X0)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_109]) ).

tcf(c_1185,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv1(X0)
      | ssPv4(skf2(X1))
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_109]) ).

tcf(c_1193,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf2(X1))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssRr(X0,X1)
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_1047]) ).

tcf(c_1204,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv4(X2)
      | ~ ssPv2(X1)
      | ~ ssPv4(X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_110]) ).

tcf(c_1205,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv4(X1)
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_110]) ).

tcf(c_1226,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv1(X1)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssRr(X0,skf3(X1))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_1172]) ).

tcf(c_1228,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssRr(X0,X1)
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_1172]) ).

tcf(c_1240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X1))
      | ~ ssPv3(X2)
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_111]) ).

tcf(c_1241,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv4(X2)
      | ~ ssPv3(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_111]) ).

tcf(c_1272,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_1226]) ).

tcf(c_1274,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_1228]) ).

tcf(c_1289,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ~ ssPv2(X2)
      | ~ ssPv2(X0)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_112]) ).

tcf(c_1290,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(skf2(X1))
      | ssPv3(skf2(X1))
      | ~ ssPv2(X2)
      | ~ ssPv2(X0)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_112]) ).

tcf(c_1303,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_101,c_1049]) ).

tcf(c_1305,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X0)
      | ssPv1(X1)
      | ssPv3(skf3(X2))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X2))
      | ~ ssRr(skf3(skf3(X0)),skf3(X1))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_1079]) ).

tcf(c_1306,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X0)
      | ssPv3(skf3(X1))
      | ssPv4(skf2(X2))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(X2,skf2(X2))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssRr(skf3(skf3(X0)),skf3(X1))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_1076]) ).

tcf(c_1307,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv2(X4)
      | ssPv3(skf3(X1))
      | ~ ssPv4(X3)
      | ~ ssPv4(X0)
      | ~ ssRr(X4,X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(instantiation,[status(thm)],[c_132]) ).

tcf(c_1309,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ssPv2(X5)
      | ssPv4(X2)
      | ssPv3(skf3(X0))
      | ~ ssPv3(X4)
      | ~ ssRr(X6,X2)
      | ~ ssRr(X5,X6)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(instantiation,[status(thm)],[c_148]) ).

tcf(c_1316,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv1(X2)
      | ssPv3(skf3(X1))
      | ~ ssPv4(skf3(X1))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,skf3(X1))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(instantiation,[status(thm)],[c_106]) ).

tcf(c_1323,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ssPv2(skf3(skf3(skf3(skf3(skf3(X0))))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0))))) ),
    inference(instantiation,[status(thm)],[c_1133]) ).

tcf(c_1331,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X1)
      | ssPv3(skf3(X0))
      | ~ ssPv3(X3)
      | ~ ssPv1(X1)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X2,X1)
      | ~ ssRr(skf3(X0),X1) ),
    inference(instantiation,[status(thm)],[c_113]) ).

tcf(c_1335,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X1)
      | ssPv3(skf3(X0))
      | ~ ssPv3(X4)
      | ~ ssPv3(X3)
      | ~ ssRr(X4,X2)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf3(X0),X1) ),
    inference(instantiation,[status(thm)],[c_126]) ).

tcf(c_1338,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ssPv3(skf3(X0))
      | ~ ssPv4(X4)
      | ~ ssPv1(X5)
      | ~ ssPv1(X3)
      | ~ ssRr(X6,X3)
      | ~ ssRr(X5,X6)
      | ~ ssRr(X4,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf3(X0),X1) ),
    inference(instantiation,[status(thm)],[c_152]) ).

tcf(c_1349,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_1050]) ).

tcf(c_1350,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_1050]) ).

tcf(c_1364,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv4(X1)
      | ~ ssPv3(X0)
      | ~ ssPv1(X1)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_113]) ).

tcf(c_1365,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X1))
      | ~ ssPv3(X2)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_113]) ).

tcf(c_1373,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv3(X0)
      | ~ ssPv2(X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_114]) ).

tcf(c_1374,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv3(skf2(X0))
      | ~ ssPv2(X1)
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_114]) ).

tcf(c_1383,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(skf3(X1))
      | ssPv1(skf3(X1))
      | ~ ssPv2(X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_115]) ).

tcf(c_1384,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ~ ssPv2(X1)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_115]) ).

tcf(c_1393,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ~ ssPv3(X0)
      | ~ ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_116]) ).

tcf(c_1394,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_116]) ).

tcf(c_1402,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(X1))
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_117]) ).

tcf(c_1403,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(X0)
      | ~ ssPv1(X2)
      | ~ ssPv1(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_117]) ).

tcf(c_1412,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X3)
      | ssPv3(X0)
      | ssPv1(X2)
      | ssPv4(skf3(X1))
      | ~ ssRr(X1,X3)
      | ~ ssRr(X2,skf3(X1))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_118]) ).

tcf(c_1413,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv3(X1)
      | ssPv4(X0)
      | ssPv1(X3)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_118]) ).

tcf(c_1440,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X1)
      | ssPv2(X0)
      | ssPv3(X3)
      | ssPv4(X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_119]) ).

tcf(c_1441,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X3)
      | ssPv3(X2)
      | ssPv2(skf2(X0))
      | ssPv4(skf2(X0))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_119]) ).

tcf(c_1451,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ssPv1(X0)
      | ~ ssPv1(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_120]) ).

tcf(c_1461,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv4(X1)
      | ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_121]) ).

tcf(c_1462,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X3)
      | ssPv4(skf2(X1))
      | ssPv1(skf2(X1))
      | ~ ssPv1(X2)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_121]) ).

tcf(c_1473,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X2)
      | ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ~ ssPv2(X3)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_122]) ).

tcf(c_1476,plain,
    ! [X0: $i] : ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))),
    inference(instantiation,[status(thm)],[c_1024]) ).

tcf(c_1493,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X1,skf3(X0))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_1316]) ).

tcf(c_1503,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X3)
      | ssPv1(X2)
      | ssPv2(skf3(X0))
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X3)
      | ~ ssRr(X2,skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_123]) ).

tcf(c_1504,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X0)
      | ssPv4(X1)
      | ssPv1(X3)
      | ~ ssPv1(X2)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_123]) ).

tcf(c_1525,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X1)
      | ssPv4(X0)
      | ~ ssPv4(X3)
      | ~ ssPv4(X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_124]) ).

tcf(c_1526,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X3)
      | ssPv3(skf2(X0))
      | ~ ssPv4(X2)
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_124]) ).

tcf(c_1529,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X2)
      | ssPv3(skf3(X0))
      | ~ ssPv4(X3)
      | ~ ssRr(X1,X3)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(X2,skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_1307]) ).

tcf(c_1547,plain,
    ! [X0: $i] :
      ( ~ ssPv2(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_1058]) ).

tcf(c_1561,plain,
    ! [X0: $i] :
      ( ~ ssPv2(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_1059]) ).

tcf(c_1562,plain,
    ! [X0: $i] :
      ( ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_1059]) ).

tcf(c_1589,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X1)
      | ssPv1(X0)
      | ~ ssPv3(X3)
      | ~ ssPv4(X2)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_125]) ).

tcf(c_1590,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv4(skf2(X0))
      | ~ ssPv3(X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_125]) ).

tcf(c_1594,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv3(skf3(X0))
      | ~ ssPv4(X4)
      | ~ ssPv1(X5)
      | ~ ssPv1(skf2(X2))
      | ~ ssRr(X5,X2)
      | ~ ssRr(X4,X3)
      | ~ ssRr(X3,skf2(X2))
      | ~ ssRr(X2,skf2(X2))
      | ~ ssRr(X1,skf2(X2))
      | ~ ssRr(skf3(X0),X1) ),
    inference(instantiation,[status(thm)],[c_1338]) ).

tcf(c_1610,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X3)
      | ssPv4(X1)
      | ~ ssPv3(X2)
      | ~ ssPv3(X0)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_126]) ).

tcf(c_1611,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv4(skf2(X0))
      | ~ ssPv3(X3)
      | ~ ssPv3(X1)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_126]) ).

tcf(c_1673,plain,
    ! [X0: $i] : ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))),
    inference(instantiation,[status(thm)],[c_1476]) ).

tcf(c_1794,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(skf3(X3))
      | ~ ssPv4(X4)
      | ~ ssPv1(X0)
      | ~ ssRr(X4,X2)
      | ~ ssPv1(skf2(skf2(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X3),X1)
      | ~ ssRr(X2,skf2(skf2(X0)))
      | ~ ssRr(X1,skf2(skf2(X0)))
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_1594]) ).

tcf(c_1914,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X3)
      | ssPv3(X2)
      | ssPv4(X0)
      | ssPv1(skf3(X0))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_118,c_101]) ).

tcf(c_1916,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X3)
      | ssPv3(X2)
      | ssPv1(X0)
      | ssPv4(skf2(X0))
      | ~ ssRr(X1,X3)
      | ~ ssRr(X2,skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_118,c_102]) ).

tcf(c_2139,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(skf3(X0)))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_1303,c_1561]) ).

tcf(c_2147,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(X0)
      | ssPv4(skf3(skf3(X1)))
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1106]) ).

tcf(c_2150,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X1,skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_1493]) ).

tcf(c_2159,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(X0)
      | ssPv1(skf3(skf3(X1)))
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1126]) ).

tcf(c_2176,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X3)
      | ssPv2(X0)
      | ssPv3(X1)
      | ssPv4(X0)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_119,c_101]) ).

tcf(c_2177,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X3)
      | ssPv2(X1)
      | ssPv4(X1)
      | ssPv3(skf2(X2))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_119,c_102]) ).

tcf(c_2184,plain,
    ! [X0: $i] : ssRr(skf2(skf2(skf2(X0))),skf2(skf2(skf2(skf2(X0))))),
    inference(instantiation,[status(thm)],[c_1166]) ).

tcf(c_2193,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv2(X0)
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1147]) ).

tcf(c_2215,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv4(X2)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_1529]) ).

tcf(c_2241,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X3)
      | ssPv1(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_127]) ).

tcf(c_2242,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X3)
      | ssPv1(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_127]) ).

tcf(c_2257,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X2)
      | ssPv1(X0)
      | ~ ssPv2(X1)
      | ~ ssPv1(X3)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_128]) ).

tcf(c_2258,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv1(X1)
      | ~ ssPv1(X2)
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_128]) ).

tcf(c_2623,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X4)
      | ssPv4(X3)
      | ssPv1(X1)
      | ssPv1(X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X4)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_137,c_101]) ).

tcf(c_2624,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X4)
      | ssPv4(X1)
      | ssPv1(X2)
      | ssPv1(skf2(X3))
      | ~ ssRr(X2,X4)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_137,c_102]) ).

tcf(c_2634,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv1(skf2(X0))
      | ~ ssPv4(X3)
      | ~ ssPv3(skf2(X0))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_129]) ).

tcf(c_2661,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv1(X0)
      | ~ ssPv2(X0)
      | ~ ssPv4(X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_130]) ).

tcf(c_2662,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv1(X0)
      | ~ ssPv2(X0)
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_130]) ).

tcf(c_2672,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X1)
      | ssPv1(X2)
      | ~ ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_131]) ).

tcf(c_2673,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv2(skf2(X1))
      | ~ ssPv1(X2)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_131]) ).

tcf(c_2966,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv4(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_1914,c_101]) ).

tcf(c_2977,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ~ ssPv4(X3)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X3)
      | ~ ssRr(X2,skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_132]) ).

tcf(c_2978,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X3)
      | ssPv3(X2)
      | ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_132]) ).

tcf(c_2993,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(X1))
      | ssPv3(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_2966,c_102]) ).

tcf(c_2998,plain,
    ! [X0: $i] : ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0))))),
    inference(instantiation,[status(thm)],[c_1673]) ).

tcf(c_3008,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X2)
      | ssPv4(X0)
      | ~ ssPv2(X1)
      | ~ ssPv3(X3)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_133]) ).

tcf(c_3009,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X3)
      | ssPv4(X1)
      | ~ ssPv3(X2)
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_133]) ).

tcf(c_3033,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X3)
      | ~ ssPv4(X0)
      | ~ ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_134]) ).

tcf(c_3034,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X3)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_134]) ).

tcf(c_3068,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(skf2(X0))
      | ~ ssPv2(X2)
      | ~ ssPv4(X3)
      | ~ ssPv4(X1)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_135]) ).

tcf(c_3084,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ssPv2(skf3(skf3(X1)))
      | ssPv4(skf3(skf3(X1)))
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf3(skf3(X1))) ),
    inference(resolution,[status(thm)],[c_2176,c_101]) ).

tcf(c_3091,plain,
    ! [X0: $i] : ssRr(skf3(skf2(skf2(X0))),skf2(skf2(X0))),
    inference(instantiation,[status(thm)],[c_1129]) ).

tcf(c_3094,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(skf3(X2))
      | ~ ssPv4(X3)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(skf2(X0)))
      | ~ ssRr(X3,skf2(X0))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X2),X1)
      | ~ ssRr(X1,skf2(skf2(X0)))
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_1794]) ).

tcf(c_3105,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X1)
      | ~ ssPv2(X1)
      | ~ ssPv3(X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_136]) ).

tcf(c_3106,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(skf2(X1))
      | ~ ssPv3(X3)
      | ~ ssPv4(X2)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_136]) ).

tcf(c_3122,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X1)
      | ssPv4(X1)
      | ssPv2(skf3(X0))
      | ssPv3(skf2(X2))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_2177,c_101]) ).

tcf(c_3123,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X1)
      | ssPv2(X0)
      | ssPv4(X1)
      | ssPv3(skf2(X2))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_2177,c_102]) ).

tcf(c_3131,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_2150]) ).

tcf(c_3147,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1162]) ).

tcf(c_3161,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv4(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(superposition,[status(thm)],[c_101,c_1184]) ).

tcf(c_3222,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv4(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_1185]) ).

tcf(c_3223,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1185]) ).

tcf(c_3242,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv3(X0)
      | ssPv1(X0)
      | ssPv4(skf2(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_1916,c_102]) ).

tcf(c_3310,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X3)
      | ssPv4(X1)
      | ssPv1(X4)
      | ssPv1(X0)
      | ~ ssRr(X2,X4)
      | ~ ssRr(X0,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_137]) ).

tcf(c_3311,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X3)
      | ssPv1(X4)
      | ssPv1(X0)
      | ssPv4(skf2(X1))
      | ~ ssRr(X2,X4)
      | ~ ssRr(X0,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_137]) ).

tcf(c_3314,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv3(X0)
      | ~ ssPv1(X2)
      | ~ ssPv1(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1)
      | ~ ssRr(X0,skf2(X0)) ),
    inference(instantiation,[status(thm)],[c_116]) ).

tcf(c_3332,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ssPv3(X3)
      | ~ ssPv4(X1)
      | ~ ssPv1(X2)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X3)
      | ~ ssRr(X2,skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_138]) ).

tcf(c_3333,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ssPv3(X1)
      | ~ ssPv4(X2)
      | ~ ssPv4(X0)
      | ~ ssPv1(X3)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_138]) ).

tcf(c_3350,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv4(X3)
      | ssPv1(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(resolution,[status(thm)],[c_2623,c_101]) ).

tcf(c_3351,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_117]) ).

tcf(c_3380,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X1)
      | ssPv4(X0)
      | ssPv1(X4)
      | ~ ssPv2(X3)
      | ~ ssRr(X2,X4)
      | ~ ssRr(X0,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_139]) ).

tcf(c_3381,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X0)
      | ssPv1(X4)
      | ssPv4(skf2(X1))
      | ~ ssPv2(X3)
      | ~ ssRr(X2,X4)
      | ~ ssRr(X0,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_139]) ).

tcf(c_3398,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X0)
      | ssPv4(X3)
      | ssPv1(skf2(X2))
      | ssPv1(skf3(X0))
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf3(X0),X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(resolution,[status(thm)],[c_2624,c_101]) ).

tcf(c_3401,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ssPv3(X3)
      | ~ ssPv4(X2)
      | ~ ssPv4(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_138]) ).

tcf(c_3403,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ssPv3(X3)
      | ~ ssPv4(X2)
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf2(X0),X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(instantiation,[status(thm)],[c_138]) ).

tcf(c_3421,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X3)
      | ssPv4(X4)
      | ssPv4(X1)
      | ~ ssPv2(X0)
      | ~ ssRr(X2,X4)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_140]) ).

tcf(c_3423,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv2(X4)
      | ssPv2(X0)
      | ~ ssPv3(X3)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X4,X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_145]) ).

tcf(c_3452,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv1(X3)
      | ssPv4(skf2(X0))
      | ~ ssPv3(X4)
      | ~ ssPv4(X2)
      | ~ ssRr(X4,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf2(X0),X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_141]) ).

tcf(c_3464,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_2993,c_101]) ).

tcf(c_3466,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(X0))
      | ssPv3(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_2993,c_102]) ).

tcf(c_3537,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ssPv3(X2)
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X1,X2)
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf2(X0),X1)
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_3403]) ).

tcf(c_3555,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv1(X2)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_107,c_101]) ).

tcf(c_3611,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X3)
      | ssPv1(skf2(X0))
      | ~ ssPv2(X2)
      | ~ ssPv4(X4)
      | ~ ssRr(X4,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X2,skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_144]) ).

tcf(c_3643,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X3)
      | ssPv1(X3)
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv1(X4)
      | ~ ssRr(X4,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf3(skf3(skf3(X0))),X1) ),
    inference(instantiation,[status(thm)],[c_121]) ).

tcf(c_3673,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv2(X1)
      | ssPv2(X0)
      | ~ ssPv3(X3)
      | ~ ssPv1(X4)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_145]) ).

tcf(c_3684,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X2)
      | ssPv2(skf3(X0))
      | ~ ssPv4(X3)
      | ~ ssPv1(X4)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X0,X3)
      | ~ ssRr(X2,skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_146]) ).

tcf(c_3685,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv2(X0)
      | ssPv4(X4)
      | ~ ssPv4(X1)
      | ~ ssPv1(X3)
      | ~ ssRr(X4,X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_146]) ).

tcf(c_3702,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X1)
      | ssPv3(skf3(X1))
      | ~ ssPv3(X3)
      | ~ ssPv3(X2)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_126,c_101]) ).

tcf(c_3714,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv1(X1)
      | ~ ssPv2(X3)
      | ~ ssPv3(X2)
      | ~ ssPv3(X0)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_147]) ).

tcf(c_3798,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv2(X4)
      | ssPv3(X0)
      | ssPv4(X1)
      | ~ ssPv3(X3)
      | ~ ssRr(X5,X1)
      | ~ ssRr(X4,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_148]) ).

tcf(c_3813,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(skf3(X1))
      | ~ ssPv4(X2)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(skf2(X0)))
      | ~ ssRr(X2,skf2(X0))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X1),skf2(X0))
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_3094]) ).

tcf(c_3825,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1204]) ).

tcf(c_3837,plain,
    ! [X0: $i] : ssRr(skf3(skf3(skf2(skf2(X0)))),skf3(skf2(skf2(X0)))),
    inference(instantiation,[status(thm)],[c_1024]) ).

tcf(c_3846,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv4(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(X1,X0)
      | ~ ssPv3(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_1241]) ).

tcf(c_3868,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X1))
      | ssPv2(skf3(X0))
      | ssPv3(skf2(X1))
      | ssPv4(skf3(X1))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_3122,c_101]) ).

tcf(c_3870,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv4(X1)
      | ssPv2(skf3(X0))
      | ssPv3(skf2(skf2(X1)))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_3122,c_102]) ).

tcf(c_3886,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ~ ssPv2(X1)
      | ~ ssRr(X1,X0)
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_1289]) ).

tcf(c_3895,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X1,X0)
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_1364]) ).

tcf(c_3956,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv1(X4)
      | ssPv1(X3)
      | ~ ssPv2(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X5,X1)
      | ~ ssRr(X4,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_149]) ).

tcf(c_3969,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv3(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_3870,c_101]) ).

tcf(c_3971,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv2(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv3(skf2(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_3870,c_102]) ).

tcf(c_4108,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ssPv2(skf3(skf3(skf2(X0))))
      | ~ ssPv3(skf3(skf2(X0)))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf3(skf2(X0)),skf2(X0))
      | ~ ssRr(skf3(skf3(skf2(X0))),skf3(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_1274]) ).

tcf(c_4124,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ~ ssPv2(X2)
      | ~ ssPv2(skf3(X1))
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_112,c_101]) ).

tcf(c_4125,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(skf2(X1))
      | ssPv3(skf2(X1))
      | ~ ssPv2(X2)
      | ~ ssPv2(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(resolution,[status(thm)],[c_112,c_102]) ).

tcf(c_4152,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv3(skf3(X0))
      | ~ ssPv2(X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_114]) ).

tcf(c_4186,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X1)
      | ssPv4(X0)
      | ssPv1(X0)
      | ~ ssPv2(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_122,c_101]) ).

tcf(c_4187,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X1)
      | ssPv1(X1)
      | ssPv4(skf2(X2))
      | ~ ssPv2(X3)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_122,c_102]) ).

tcf(c_4188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv1(X2)
      | ~ ssPv2(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X3,X1)
      | ~ ssRr(X1,X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_128]) ).

tcf(c_4206,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_101,c_2147]) ).

tcf(c_4207,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf3(skf3(skf2(X0))))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_2147]) ).

tcf(c_4210,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X1)
      | ssPv1(X0)
      | ~ ssPv2(X1)
      | ~ ssPv4(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X1,skf3(X0))
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_130]) ).

tcf(c_4211,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv1(skf2(X0))
      | ~ ssPv2(X3)
      | ~ ssPv4(X2)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf2(X0)) ),
    inference(instantiation,[status(thm)],[c_130]) ).

tcf(c_4226,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_4206,c_1547]) ).

tcf(c_4232,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv3(skf3(skf3(skf2(X0))))
      | ~ ssPv1(skf3(skf3(skf2(X0)))) ),
    inference(superposition,[status(thm)],[c_4207,c_1547]) ).

tcf(c_4234,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X0)
      | ~ ssPv2(X0)
      | ~ ssPv3(X1)
      | ~ ssPv4(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,skf3(X0))
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_136]) ).

tcf(c_4251,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_101,c_2159]) ).

tcf(c_4252,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf3(skf3(skf2(X0))))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_2159]) ).

tcf(c_4271,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X3)
      | ssPv4(X2)
      | ~ ssPv2(X1)
      | ~ ssPv3(skf3(X1))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_133,c_101]) ).

tcf(c_4274,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv1(X3)
      | ssPv3(skf3(X0))
      | ~ ssPv2(X4)
      | ~ ssPv1(X0)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_142]) ).

tcf(c_4286,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv1(X0)
      | ~ ssPv2(X1)
      | ~ ssPv3(X4)
      | ~ ssPv3(X3)
      | ~ ssRr(X4,X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X3)
      | ~ ssRr(X1,skf3(X0))
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_147]) ).

tcf(c_4287,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv2(X4)
      | ~ ssPv3(X3)
      | ~ ssPv3(X1)
      | ~ ssRr(X4,X0)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X2,skf2(X0))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(instantiation,[status(thm)],[c_147]) ).

tcf(c_4327,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(superposition,[status(thm)],[c_101,c_2193]) ).

tcf(c_4328,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(X0))
      | ssPv1(skf2(skf2(skf2(X0))))
      | ~ ssPv3(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_2193]) ).

tcf(c_4363,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf3(X1))
      | ssPv3(skf3(X0))
      | ~ ssPv2(X1)
      | ~ ssPv4(skf3(X1))
      | ~ ssRr(X0,skf3(X1))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_4152]) ).

tcf(c_4365,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv3(skf3(X0))
      | ~ ssPv4(X1)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X0,X1)
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_4152]) ).

tcf(c_4383,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv2(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1373]) ).

tcf(c_4397,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ~ ssPv4(X1)
      | ~ ssRr(X1,X0)
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_1384]) ).

tcf(c_4418,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(X1))
      | ssPv1(skf3(skf2(X1)))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1107]) ).

tcf(c_4419,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv1(X1)
      | ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1107]) ).

tcf(c_4441,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X3)
      | ssPv4(X1)
      | ssPv4(skf2(X2))
      | ~ ssPv2(X4)
      | ~ ssRr(X4,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_140,c_102]) ).

tcf(c_4467,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X1))
      | ssPv1(skf3(skf2(X1)))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1127]) ).

tcf(c_4468,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(X0)
      | ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1127]) ).

tcf(c_4479,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X2)
      | ~ ssRr(X1,X2)
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_4210]) ).

tcf(c_4486,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(X2))
      | ~ ssPv2(X0)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X2,skf2(X2))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(instantiation,[status(thm)],[c_4211]) ).

tcf(c_4530,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_101,c_3147]) ).

tcf(c_4531,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_3147]) ).

tcf(c_4536,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ~ ssPv2(X0)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X1,X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_4234]) ).

tcf(c_4540,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv3(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf3(X1))
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_4274]) ).

tcf(c_4558,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X0)
      | ~ ssPv3(X3)
      | ~ ssPv3(X1)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_4286]) ).

tcf(c_4573,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_102,c_3223]) ).

tcf(c_4603,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv1(X1)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_3555,c_101]) ).

tcf(c_4605,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_3555,c_102]) ).

tcf(c_4609,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv2(X3)
      | ~ ssPv3(X2)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,X1)
      | ~ ssPv3(skf2(skf2(X0)))
      | ~ ssRr(X1,skf2(X0))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_4287]) ).

tcf(c_4718,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssPv3(X1)
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf2(skf2(X0)),X1)
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_3537]) ).

tcf(c_4728,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_4419]) ).

tcf(c_4729,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_4419]) ).

tcf(c_4744,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ~ ssPv2(skf3(X1))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_4124,c_101]) ).

tcf(c_4749,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf3(X0))
      | ~ ssPv4(X1)
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf2(skf2(skf3(X0))))
      | ~ ssRr(X1,skf2(skf3(X0)))
      | ~ ssRr(skf3(X0),skf2(skf3(X0)))
      | ~ ssRr(skf2(skf3(X0)),skf2(skf2(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_3813]) ).

tcf(c_4750,plain,
    ! [X0: $i] : ssRr(skf3(X0),skf2(skf3(X0))),
    inference(instantiation,[status(thm)],[c_102]) ).

tcf(c_4852,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_4468]) ).

tcf(c_4853,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_4468]) ).

tcf(c_4866,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_4603,c_101]) ).

tcf(c_4868,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv4(X4)
      | ssPv1(X5)
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv2(X3)
      | ~ ssRr(X2,X5)
      | ~ ssRr(X1,X4)
      | ~ ssRr(skf3(skf3(skf3(X0))),X3)
      | ~ ssRr(skf3(skf3(skf3(X0))),X2)
      | ~ ssRr(skf3(skf3(skf3(X0))),X1) ),
    inference(instantiation,[status(thm)],[c_139]) ).

tcf(c_4872,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ssPv2(X6)
      | ssPv3(skf3(X4))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv3(X5)
      | ~ ssRr(X6,X3)
      | ~ ssRr(X1,X5)
      | ~ ssRr(skf3(X4),X2)
      | ~ ssRr(X3,skf3(skf3(skf3(X0))))
      | ~ ssRr(X2,skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),X1) ),
    inference(instantiation,[status(thm)],[c_1309]) ).

tcf(c_4932,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv2(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1146]) ).

tcf(c_4940,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ~ ssRr(X1,X0)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_1163]) ).

tcf(c_4948,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(superposition,[status(thm)],[c_101,c_1393]) ).

tcf(c_4955,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_1394]) ).

tcf(c_4956,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_1394]) ).

tcf(c_4976,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_4605,c_101]) ).

tcf(c_4978,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(resolution,[status(thm)],[c_4605,c_102]) ).

tcf(c_4983,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_4573,c_4853]) ).

tcf(c_5223,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_102,c_3825]) ).

tcf(c_5371,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv2(X0)
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_4383]) ).

tcf(c_5372,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_4383]) ).

tcf(c_5537,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_3222]) ).

tcf(c_5538,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf3(X0))
      | ssPv2(skf2(skf3(X0)))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_3222]) ).

tcf(c_5631,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_4418]) ).

tcf(c_5640,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_4467]) ).

tcf(c_5641,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(skf2(X0))))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_4467]) ).

tcf(c_5659,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_4932]) ).

tcf(c_5672,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ssPv2(skf3(X1))
      | ssPv1(skf2(X1))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_5659,c_3886]) ).

tcf(c_5729,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv4(skf3(X0))
      | ~ ssPv3(X2)
      | ~ ssPv1(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_111,c_101]) ).

tcf(c_5730,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X0)
      | ssPv2(skf2(X0))
      | ~ ssPv3(X2)
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_111,c_102]) ).

tcf(c_5758,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv3(skf3(X1))
      | ~ ssPv3(X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_113,c_101]) ).

tcf(c_5760,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv4(skf2(X1))
      | ~ ssPv3(X2)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(resolution,[status(thm)],[c_113,c_102]) ).

tcf(c_5777,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv1(X1)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_4327,c_4956]) ).

tcf(c_5778,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv1(X1)
      | ssPv2(skf2(X0))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_4328,c_4956]) ).

tcf(c_5794,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X0)
      | ~ ssPv1(X2)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(resolution,[status(thm)],[c_116,c_101]) ).

tcf(c_5795,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(skf2(X2))
      | ~ ssPv3(X2)
      | ~ ssPv1(X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_116,c_102]) ).

tcf(c_5803,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(X0)
      | ssPv4(skf3(skf3(X1)))
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1106]) ).

tcf(c_5824,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_117,c_101]) ).

tcf(c_5831,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_3161]) ).

tcf(c_5832,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(skf3(X0)))
      | ssPv2(skf2(skf3(skf3(X0))))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_3161]) ).

tcf(c_5842,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_4955]) ).

tcf(c_5863,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ssPv1(X3)
      | ~ ssPv1(skf2(X2))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_120,c_102]) ).

tcf(c_5937,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X0)
      | ssPv4(X1)
      | ssPv1(X1)
      | ~ ssPv1(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_121,c_101]) ).

tcf(c_5938,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X3)
      | ssPv4(skf2(X1))
      | ssPv1(skf2(X1))
      | ~ ssPv1(X2)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(resolution,[status(thm)],[c_121,c_102]) ).

tcf(c_5960,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_101,c_5803]) ).

tcf(c_6017,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X0)
      | ssPv4(X3)
      | ssPv1(skf3(X0))
      | ~ ssPv1(X2)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_123,c_101]) ).

tcf(c_6061,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(X0)
      | ssPv1(skf3(skf3(X1)))
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1126]) ).

tcf(c_6086,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_101,c_6061]) ).

tcf(c_6143,plain,
    ! [X0: $i] : ssRr(skf3(skf3(skf3(X0))),skf2(skf3(skf3(skf3(X0))))),
    inference(instantiation,[status(thm)],[c_4750]) ).

tcf(c_6188,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv1(X2)
      | ~ ssPv2(X1)
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_128,c_101]) ).

tcf(c_6190,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X3,X2)
      | ~ ssRr(X2,skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_128,c_102]) ).

tcf(c_6193,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv2(X0)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_4363]) ).

tcf(c_6217,plain,
    ! [X0: $i] : ssRr(skf2(skf3(X0)),skf2(skf2(skf3(X0)))),
    inference(instantiation,[status(thm)],[c_1028]) ).

tcf(c_6253,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv2(skf2(X1))
      | ~ ssPv1(X2)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X3,X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(resolution,[status(thm)],[c_131,c_102]) ).

tcf(c_6271,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_4226,c_4226,c_4251]) ).

tcf(c_6281,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_5371,c_6271]) ).

tcf(c_6287,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(X1))
      | ~ ssPv2(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_4486]) ).

tcf(c_6393,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv1(X3)
      | ssPv3(skf3(X1))
      | ~ ssPv2(X4)
      | ~ ssPv1(X1)
      | ~ ssRr(X4,X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_142,c_101]) ).

tcf(c_6394,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X0)
      | ssPv1(X4)
      | ~ ssPv2(X3)
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X2,skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_142,c_102]) ).

tcf(c_6411,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X2))
      | ~ ssRr(X1,X3)
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X2),X2)
      | ~ ssRr(X2,skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_4540]) ).

tcf(c_6428,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1185]) ).

tcf(c_6434,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf2(skf3(X0))))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_6428]) ).

tcf(c_6435,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_102,c_6428]) ).

tcf(c_6452,plain,
    ! [X0: $i] : ssRr(skf3(skf3(skf3(skf3(skf3(skf3(X0)))))),skf3(skf3(skf3(skf3(skf3(X0)))))),
    inference(instantiation,[status(thm)],[c_2998]) ).

tcf(c_6460,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv1(X1)
      | ssPv2(skf2(X1))
      | ssPv3(skf2(X1))
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_6435,c_4940]) ).

tcf(c_6481,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X1)
      | ssPv1(X3)
      | ~ ssPv2(X4)
      | ~ ssPv1(skf2(X2))
      | ~ ssRr(X4,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_143,c_102]) ).

tcf(c_6570,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_4948]) ).

tcf(c_6571,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf3(skf3(X0))))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_4948]) ).

tcf(c_6610,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv2(X4)
      | ssPv2(X1)
      | ~ ssPv3(X3)
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X4,X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_145,c_101]) ).

tcf(c_6645,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(superposition,[status(thm)],[c_101,c_2241]) ).

tcf(c_6683,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_2242]) ).

tcf(c_6684,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv1(X0)
      | ~ ssPv4(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_2242]) ).

tcf(c_6690,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_6086,c_6570]) ).

tcf(c_6873,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ~ ssPv2(skf3(X0))
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_4744,c_101]) ).

tcf(c_6906,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_2257]) ).

tcf(c_6919,plain,
    ! [X0: $i] :
      ( ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0)))) ),
    inference(instantiation,[status(thm)],[c_4718]) ).

tcf(c_6930,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssRr(X1,X2)
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(superposition,[status(thm)],[c_101,c_2661]) ).

tcf(c_6960,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_2662]) ).

tcf(c_6961,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(X0)
      | ~ ssPv2(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_2662]) ).

tcf(c_6972,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv2(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_6873,c_3969]) ).

tcf(c_7048,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X1)
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_4479]) ).

tcf(c_7051,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X1)
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf2(skf3(skf3(X0))),X1)
      | ~ ssRr(skf3(skf3(X0)),skf2(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_4479]) ).

tcf(c_7052,plain,
    ! [X0: $i] : ssRr(skf3(skf3(X0)),skf2(skf3(skf3(X0)))),
    inference(instantiation,[status(thm)],[c_4750]) ).

tcf(c_7078,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(skf2(X1)))
      | ~ ssPv3(X1)
      | ~ ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1403]) ).

tcf(c_7085,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_7078]) ).

tcf(c_7086,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(skf2(X0))))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_7078]) ).

tcf(c_7109,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_3868,c_101]) ).

tcf(c_7119,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_7085,c_4956]) ).

tcf(c_7128,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_7086,c_4956]) ).

tcf(c_7138,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf3(X0))
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_7109,c_6873]) ).

tcf(c_7159,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv3(X2)
      | ssPv1(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_4327,c_6684]) ).

tcf(c_7196,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(skf2(X1))
      | ssPv2(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(resolution,[status(thm)],[c_3123,c_102]) ).

tcf(c_7212,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(skf3(skf3(X1))))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf3(X1))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_6906]) ).

tcf(c_7213,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(X1))
      | ssPv1(skf3(skf3(X1)))
      | ~ ssPv2(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_6906]) ).

tcf(c_7215,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X0)
      | ~ ssPv3(X2)
      | ~ ssPv3(skf3(X1))
      | ~ ssRr(X1,X0)
      | ~ ssRr(X0,X2)
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_4558]) ).

tcf(c_7246,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv4(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_5729,c_102]) ).

tcf(c_7249,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv3(X2)
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X2,X1)
      | ~ ssPv3(skf2(skf2(X0)))
      | ~ ssRr(X1,skf2(X0))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_4609]) ).

tcf(c_7251,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(X2)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf2(X0))
      | ~ ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssRr(X1,skf2(skf2(X0)))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0)))) ),
    inference(instantiation,[status(thm)],[c_4609]) ).

tcf(c_7271,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_7213]) ).

tcf(c_7315,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_2978]) ).

tcf(c_7328,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv3(skf3(X1))
      | ~ ssPv1(X1)
      | ~ ssPv3(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_5758,c_101]) ).

tcf(c_7329,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv3(skf3(X1))
      | ~ ssPv3(X0)
      | ~ ssPv1(X1)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_5758,c_102]) ).

tcf(c_7342,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_3008]) ).

tcf(c_7446,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(skf3(skf3(X2)))
      | ssPv1(skf3(skf3(X2)))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv1(X4)
      | ~ ssRr(X4,X3)
      | ~ ssRr(X3,skf3(skf3(X2)))
      | ~ ssRr(X1,skf3(skf3(X2)))
      | ~ ssRr(skf3(skf3(skf3(X0))),X1) ),
    inference(instantiation,[status(thm)],[c_3643]) ).

tcf(c_7457,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv1(X2)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(X5)
      | ~ ssPv1(X4)
      | ~ ssRr(X5,X3)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X3,skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(instantiation,[status(thm)],[c_143]) ).

tcf(c_7459,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(skf3(X0))
      | ssPv4(skf3(skf3(X1)))
      | ~ ssPv3(X4)
      | ~ ssPv3(X2)
      | ~ ssRr(X4,X3)
      | ~ ssRr(X3,skf3(skf3(X1)))
      | ~ ssRr(skf3(skf3(X1)),X2)
      | ~ ssRr(skf3(X0),skf3(skf3(X1))) ),
    inference(instantiation,[status(thm)],[c_1335]) ).

tcf(c_7460,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(skf3(X0))
      | ssPv4(skf3(skf3(X1)))
      | ~ ssPv3(X3)
      | ~ ssRr(X3,X2)
      | ~ ssPv1(skf3(skf3(X1)))
      | ~ ssRr(X2,skf3(skf3(X1)))
      | ~ ssRr(skf3(X0),skf3(skf3(X1))) ),
    inference(instantiation,[status(thm)],[c_1331]) ).

tcf(c_7478,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv3(X4)
      | ssPv4(X3)
      | ssPv4(skf3(skf3(X1)))
      | ~ ssPv2(X5)
      | ~ ssRr(X5,X2)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,skf3(skf3(X1))) ),
    inference(instantiation,[status(thm)],[c_140]) ).

tcf(c_7479,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i,X6: $i] :
      ( ssPv2(X6)
      | ssPv4(skf3(skf3(X1)))
      | ~ ssPv3(X4)
      | ~ ssPv1(X3)
      | ~ ssRr(X5,X6)
      | ~ ssRr(X4,X5)
      | ~ ssRr(X4,X2)
      | ~ ssRr(X4,X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,skf3(skf3(X1))) ),
    inference(instantiation,[status(thm)],[c_151]) ).

tcf(c_7507,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_7212]) ).

tcf(c_7543,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(skf3(X0)))
      | ~ ssPv1(X1)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_5795,c_101]) ).

tcf(c_7545,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv3(X0)
      | ~ ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_5795,c_102]) ).

tcf(c_7561,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(X0)
      | ssPv2(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_6435,c_6961]) ).

tcf(c_7610,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_7246,c_101]) ).

tcf(c_7612,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_7246,c_102]) ).

tcf(c_7620,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ssPv1(X0)
      | ssPv2(skf2(X0))
      | ~ ssPv4(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_6435,c_7315]) ).

tcf(c_7621,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv2(X0)
      | ssPv3(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X2,skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_6434,c_7315]) ).

tcf(c_7633,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv3(skf3(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv1(X0) ),
    inference(resolution,[status(thm)],[c_7612,c_3466]) ).

tcf(c_7641,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv4(skf3(skf3(skf3(X1))))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf3(X1))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_7342]) ).

tcf(c_7642,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X1))
      | ssPv4(skf3(skf3(X1)))
      | ~ ssPv2(X1)
      | ~ ssPv3(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_7342]) ).

tcf(c_7650,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_7642]) ).

tcf(c_7651,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf2(X0)))
      | ssPv4(skf3(skf3(skf2(X0))))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_7642]) ).

tcf(c_7672,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_7328,c_101]) ).

tcf(c_7674,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv3(skf3(skf2(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_7328,c_102]) ).

tcf(c_7682,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_7650,c_1547]) ).

tcf(c_7697,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0) ),
    inference(resolution,[status(thm)],[c_7672,c_3464]) ).

tcf(c_7747,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssPv3(skf3(skf3(skf2(X0))))
      | ~ ssPv1(skf3(skf3(skf2(X0)))) ),
    inference(superposition,[status(thm)],[c_7651,c_1547]) ).

tcf(c_7748,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv2(skf3(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf3(skf3(skf2(X0))))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_7651,c_5831]) ).

tcf(c_7764,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf2(X0)))
      | ssPv3(skf3(skf2(skf2(X0))))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_7329,c_102]) ).

tcf(c_7766,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_3351]) ).

tcf(c_7768,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ssPv3(X1)
      | ~ ssPv4(X2)
      | ~ ssPv4(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,skf3(X1))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_3401]) ).

tcf(c_7769,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ssPv4(X2)
      | ~ ssPv4(X0)
      | ~ ssPv3(skf2(X1))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1)
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_3401]) ).

tcf(c_7796,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(skf3(X1))
      | ~ ssPv2(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X1,X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_4188]) ).

tcf(c_7830,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_7545,c_102]) ).

tcf(c_7833,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X1)
      | ssPv2(X0)
      | ~ ssPv3(X3)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf2(X1),X0)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_3423]) ).

tcf(c_7859,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ~ ssPv1(X0)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(superposition,[status(thm)],[c_101,c_3033]) ).

tcf(c_7869,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf2(X0))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0) ),
    inference(resolution,[status(thm)],[c_7830,c_4978]) ).

tcf(c_7904,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_3034]) ).

tcf(c_7905,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_3034]) ).

tcf(c_7936,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_7641]) ).

tcf(c_7963,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_7936,c_1547]) ).

tcf(c_7964,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_7936,c_5831]) ).

tcf(c_7965,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv4(skf2(skf3(skf3(X0))))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_7936,c_5537]) ).

tcf(c_8009,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv3(X0)
      | ssPv1(X0)
      | ssPv4(skf2(X0))
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(resolution,[status(thm)],[c_3242,c_102]) ).

tcf(c_8037,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf2(X1))
      | ssPv3(skf2(X1))
      | ~ ssPv2(X1)
      | ~ ssPv2(X0)
      | ~ ssRr(X0,skf3(skf2(X1))) ),
    inference(resolution,[status(thm)],[c_4125,c_101]) ).

tcf(c_8039,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf2(X1))
      | ssPv3(skf2(X1))
      | ~ ssPv2(X1)
      | ~ ssPv2(X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_4125,c_102]) ).

tcf(c_8062,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv2(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1205]) ).

tcf(c_8073,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_8062]) ).

tcf(c_8089,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv2(skf2(X0))
      | ~ ssPv3(X1)
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(resolution,[status(thm)],[c_5730,c_102]) ).

tcf(c_8151,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv4(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_5760,c_102]) ).

tcf(c_8209,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssPv3(X0)
      | ~ ssPv4(X1)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_7768]) ).

tcf(c_8229,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv4(skf3(skf3(X1)))
      | ssPv1(skf3(skf3(X1)))
      | ~ ssPv2(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf3(skf3(X1))) ),
    inference(resolution,[status(thm)],[c_4186,c_101]) ).

tcf(c_8233,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssPv4(X0)
      | ~ ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1)
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_7769]) ).

tcf(c_8263,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv1(X1)
      | ssPv4(skf2(X2))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_4187,c_101]) ).

tcf(c_8266,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_7796]) ).

tcf(c_8313,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(skf2(X0)))
      | ~ ssPv3(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf2(X0))
      | ~ ssPv1(skf3(skf2(skf2(X0))))
      | ~ ssRr(skf2(skf2(X0)),X1)
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf3(skf2(skf2(X0))),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_7833]) ).

tcf(c_8330,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_7215]) ).

tcf(c_8331,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv3(X1)
      | ~ ssPv3(skf3(X0))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf2(X0),X1)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssPv2(skf3(skf3(skf2(X0))))
      | ~ ssRr(skf3(skf2(X0)),skf2(X0))
      | ~ ssRr(skf3(skf3(skf2(X0))),skf3(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_7215]) ).

tcf(c_8364,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ssPv4(skf2(X0))
      | ssPv3(skf2(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_8009,c_102]) ).

tcf(c_8366,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf3(X1))
      | ~ ssPv3(skf2(skf2(X0)))
      | ~ ssRr(X1,skf2(X0))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_7249]) ).

tcf(c_8400,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(X1)
      | ~ ssRr(X1,skf2(X0))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0)))) ),
    inference(instantiation,[status(thm)],[c_7251]) ).

tcf(c_8403,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(X1)
      | ~ ssRr(X0,skf2(X0))
      | ~ ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssRr(X1,skf3(skf2(skf2(X0))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0))))
      | ~ ssRr(skf3(skf2(skf2(X0))),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_7251]) ).

tcf(c_8418,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv2(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_8039,c_101]) ).

tcf(c_8420,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_8039,c_102]) ).

tcf(c_8452,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv3(X1)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1240]) ).

tcf(c_8458,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv1(X3)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(X1)
      | ~ ssPv1(X4)
      | ~ ssRr(X2,X4)
      | ~ ssRr(skf3(skf3(X0)),X3)
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssRr(X1,skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_7457]) ).

tcf(c_8466,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_8452]) ).

tcf(c_8467,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_8452]) ).

tcf(c_8495,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv3(X3)
      | ssPv4(X1)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(X4)
      | ~ ssRr(X4,X2)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X1,skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_7478]) ).

tcf(c_8521,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_8467,c_1547]) ).

tcf(c_8522,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_8467,c_5831]) ).

tcf(c_8523,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_8467,c_5537]) ).

tcf(c_8538,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_8151,c_101]) ).

tcf(c_8540,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_8151,c_102]) ).

tcf(c_8579,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv2(X5)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv3(X1)
      | ~ ssPv1(X3)
      | ~ ssRr(X4,X5)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X1,skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_7479]) ).

tcf(c_8594,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_8538,c_7674]) ).

tcf(c_8684,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_8466,c_1547]) ).

tcf(c_9035,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv4(X1)
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_103,c_101]) ).

tcf(c_9036,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(X0)
      | ~ ssPv4(X1)
      | ~ ssPv1(X1)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_103,c_102]) ).

tcf(c_9069,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_6287]) ).

tcf(c_9096,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ~ ssPv2(X0)
      | ~ ssPv3(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_3105]) ).

tcf(c_9109,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssPv2(X1)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_104,c_101]) ).

tcf(c_9122,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_2258]) ).

tcf(c_9132,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv1(skf2(X0))
      | ~ ssPv4(X2)
      | ~ ssPv3(skf2(X0))
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(superposition,[status(thm)],[c_102,c_2634]) ).

tcf(c_9151,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv1(X2)
      | ssPv3(skf2(skf2(X1)))
      | ~ ssRr(X3,X0)
      | ~ ssPv4(skf2(skf2(X1)))
      | ~ ssRr(X2,skf2(skf2(X1)))
      | ~ ssRr(X0,skf2(skf2(X1))) ),
    inference(instantiation,[status(thm)],[c_106]) ).

tcf(c_9163,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(skf2(X2))
      | ssPv1(skf2(X1))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(skf2(X0))))
      | ~ ssRr(X2,skf2(X2))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(skf2(skf2(X0))),X2)
      | ~ ssRr(skf3(skf2(skf2(X0))),X1)
      | ~ ssRr(skf3(skf2(skf2(X0))),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_1043]) ).

tcf(c_9169,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X3)
      | ssPv1(X3)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv1(X4)
      | ~ ssRr(X4,X2)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(instantiation,[status(thm)],[c_121]) ).

tcf(c_9216,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv4(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1365]) ).

tcf(c_9223,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_9216]) ).

tcf(c_9224,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_9216]) ).

tcf(c_9240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv1(X1)
      | ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(resolution,[status(thm)],[c_105,c_102]) ).

tcf(c_9246,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv3(skf3(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_4327,c_9223]) ).

tcf(c_9270,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(X1)
      | ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(resolution,[status(thm)],[c_106,c_102]) ).

tcf(c_9275,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_7085,c_9224]) ).

tcf(c_9276,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(superposition,[status(thm)],[c_4327,c_9224]) ).

tcf(c_9297,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ssPv3(skf3(X0))
      | ~ ssPv4(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_108,c_101]) ).

tcf(c_9298,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ssPv3(X0)
      | ~ ssPv4(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_108,c_102]) ).

tcf(c_9320,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv4(X2)
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(resolution,[status(thm)],[c_109,c_101]) ).

tcf(c_9322,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv1(X2)
      | ssPv2(skf2(X2))
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_109,c_102]) ).

tcf(c_9341,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv2(skf3(X0))
      | ~ ssPv2(X1)
      | ~ ssPv4(X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_110,c_101]) ).

tcf(c_9371,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X1))
      | ~ ssPv1(X2)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf3(skf2(X1))) ),
    inference(superposition,[status(thm)],[c_101,c_2673]) ).

tcf(c_9372,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv2(skf2(X1))
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_2673]) ).

tcf(c_9375,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_1193]) ).

tcf(c_9412,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(X2)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_2977]) ).

tcf(c_9428,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv3(skf3(X0))
      | ~ ssPv2(X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_114,c_101]) ).

tcf(c_9429,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv3(X0)
      | ~ ssPv2(X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_114,c_102]) ).

tcf(c_9440,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_3009]) ).

tcf(c_9442,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X1)
      | ssPv4(X0)
      | ssPv1(X1)
      | ~ ssPv2(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X1,skf3(X0))
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_122]) ).

tcf(c_9443,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X2)
      | ssPv1(X2)
      | ssPv4(skf2(X0))
      | ~ ssPv2(X3)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf2(X0)) ),
    inference(instantiation,[status(thm)],[c_122]) ).

tcf(c_9470,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv4(X0)
      | ssPv1(X3)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(superposition,[status(thm)],[c_101,c_3310]) ).

tcf(c_9479,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X1))
      | ~ ssPv1(skf2(X1))
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_9372]) ).

tcf(c_9480,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(skf2(X1)))
      | ~ ssPv1(X1)
      | ~ ssPv1(skf2(skf2(X1)))
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_9372]) ).

tcf(c_9482,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X3)
      | ssPv4(X2)
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssRr(X3,X1)
      | ~ ssRr(X1,X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_133]) ).

tcf(c_9516,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ~ ssPv2(X2)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_115,c_101]) ).

tcf(c_9519,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X3)
      | ssPv4(X1)
      | ssPv1(X0)
      | ~ ssPv2(X4)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X1,skf3(X0))
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_139]) ).

tcf(c_9520,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X3)
      | ssPv4(X2)
      | ssPv1(skf2(X0))
      | ~ ssPv2(X4)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X3,X1)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf2(X0)) ),
    inference(instantiation,[status(thm)],[c_139]) ).

tcf(c_9545,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(skf3(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_9479]) ).

tcf(c_9579,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X1)
      | ssPv4(X3)
      | ~ ssPv4(X1)
      | ~ ssPv4(skf2(X2))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_124,c_102]) ).

tcf(c_9590,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_9480]) ).

tcf(c_9600,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(skf2(skf2(X0))))
      | ssPv1(skf3(skf2(skf2(X0))))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_7086,c_9590]) ).

tcf(c_9625,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X3)
      | ssPv1(X4)
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssRr(X2,X4)
      | ~ ssRr(X1,X3)
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(X0))),X2)
      | ~ ssRr(skf3(skf3(skf3(X0))),X1)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_4868]) ).

tcf(c_9637,plain,
    ! [X0: $i] : ssRr(skf2(skf3(skf3(X0))),skf2(skf2(skf3(skf3(X0))))),
    inference(instantiation,[status(thm)],[c_6217]) ).

tcf(c_9655,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X1)
      | ssPv1(X3)
      | ~ ssPv4(X2)
      | ~ ssPv3(skf3(X1))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_125,c_101]) ).

tcf(c_9661,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(skf3(X1))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv3(X2)
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(X2,skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(X1),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_7460]) ).

tcf(c_9681,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_1383]) ).

tcf(c_9688,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(skf2(skf2(X0)))))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0))))
      | ~ ssRr(skf2(skf2(skf2(X0))),skf2(skf2(skf2(skf2(X0))))) ),
    inference(instantiation,[status(thm)],[c_1096]) ).

tcf(c_9704,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv2(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_5960,c_9681]) ).

tcf(c_9730,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X2)
      | ssPv3(skf2(X3))
      | ~ ssPv4(X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_127,c_102]) ).

tcf(c_9771,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(X1))))
      | ~ ssPv1(X3)
      | ~ ssRr(X2,skf3(skf3(X0)))
      | ~ ssRr(X3,skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X1))),X2)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_7446]) ).

tcf(c_9780,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(skf3(X1))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv3(X3)
      | ~ ssPv3(X2)
      | ~ ssRr(skf3(skf3(X0)),X3)
      | ~ ssRr(X2,skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(X1),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_7459]) ).

tcf(c_9802,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X1)
      | ssPv3(skf2(X2))
      | ~ ssPv3(X1)
      | ~ ssPv4(X3)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_129,c_102]) ).

tcf(c_9827,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ssPv4(X1)
      | ssPv1(X2)
      | ssPv3(skf2(skf2(X1)))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1413]) ).

tcf(c_9843,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(X0)
      | ssPv4(skf2(X1))
      | ssPv3(skf2(skf2(skf2(X1))))
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_9827]) ).

tcf(c_9876,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X2)
      | ssPv1(skf2(X3))
      | ~ ssPv2(X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_130,c_102]) ).

tcf(c_9881,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssRr(X1,X2)
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_6411]) ).

tcf(c_9943,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv2(X1)
      | ssPv3(skf3(X4))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv3(X5)
      | ~ ssRr(X2,X5)
      | ~ ssRr(skf3(X4),X3)
      | ~ ssRr(X3,skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),X2)
      | ~ ssRr(X1,skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_4872]) ).

tcf(c_9955,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv1(X3)
      | ssPv4(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf3(X0),X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_3311]) ).

tcf(c_9956,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv1(X3)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_3311]) ).

tcf(c_9975,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv2(skf3(X0))
      | ~ ssPv4(X3)
      | ~ ssPv4(X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_132,c_101]) ).

tcf(c_9977,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X0)
      | ssPv3(X2)
      | ~ ssPv4(X3)
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf2(X0),X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_132,c_102]) ).

tcf(c_10014,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv3(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_3333]) ).

tcf(c_10159,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf2(X0))
      | ssPv3(skf3(X1))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv2(skf2(skf2(X0)))
      | ~ ssRr(X1,skf2(X0))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_4365]) ).

tcf(c_10173,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(X2))
      | ssPv1(skf2(X1))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssRr(X2,skf2(X2))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(skf2(X0)),X2)
      | ~ ssRr(skf3(skf2(X0)),X1)
      | ~ ssRr(skf3(skf2(X0)),skf2(X0)) ),
    inference(instantiation,[status(thm)],[c_1043]) ).

tcf(c_10191,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X1)
      | ssPv3(skf2(X0))
      | ~ ssPv3(X4)
      | ~ ssPv3(X3)
      | ~ ssRr(X4,X2)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf2(X0),X1) ),
    inference(instantiation,[status(thm)],[c_126]) ).

tcf(c_10196,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv3(skf3(skf3(skf2(X0)))) ),
    inference(global_subsumption_just,[status(thm)],[c_4232,c_4232,c_4252]) ).

tcf(c_10204,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_5372,c_10196]) ).

tcf(c_10215,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ssPv4(skf2(X0))
      | ssPv3(skf2(skf2(skf2(X0)))) ),
    inference(superposition,[status(thm)],[c_102,c_9843]) ).

tcf(c_10578,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_7119]) ).

tcf(c_10579,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_7119]) ).

tcf(c_10588,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_5777]) ).

tcf(c_10597,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_101,c_6460]) ).

tcf(c_10747,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_9275,c_102,c_1028,c_8540,c_9275,c_9375]) ).

tcf(c_10824,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_4531,c_6690]) ).

tcf(c_10839,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_10747,c_1349]) ).

tcf(c_10856,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_4530,c_6690]) ).

tcf(c_10870,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_7128]) ).

tcf(c_10913,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_8522,c_10578]) ).

tcf(c_10986,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_9704]) ).

tcf(c_11214,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_10870,c_4956]) ).

tcf(c_11315,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X1)
      | ~ ssPv4(X0)
      | ~ ssPv1(X3)
      | ~ ssPv1(X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_134,c_101]) ).

tcf(c_11316,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(skf2(X3))
      | ~ ssPv4(X2)
      | ~ ssPv1(X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_134,c_102]) ).

tcf(c_11346,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X1)
      | ~ ssPv4(X3)
      | ~ ssPv4(X2)
      | ~ ssPv2(skf3(X1))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_135,c_101]) ).

tcf(c_11393,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(skf2(X1))
      | ~ ssPv3(X3)
      | ~ ssPv4(X2)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X3,X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(resolution,[status(thm)],[c_136,c_102]) ).

tcf(c_11424,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ssPv3(X3)
      | ~ ssPv4(X2)
      | ~ ssPv4(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_138,c_101]) ).

tcf(c_11426,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ssPv3(X3)
      | ~ ssPv4(X2)
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf2(X0),X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_138,c_102]) ).

tcf(c_11446,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv1(X1)
      | ssPv2(skf2(X1))
      | ssPv3(skf2(X1))
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_7620]) ).

tcf(c_11468,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X1)
      | ssPv1(skf2(X2))
      | ~ ssPv3(X4)
      | ~ ssPv4(X3)
      | ~ ssRr(X4,X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_141,c_102]) ).

tcf(c_11525,plain,
    ! [X0: $i] : ssRr(skf3(skf3(skf2(X0))),skf3(skf2(X0))),
    inference(instantiation,[status(thm)],[c_1024]) ).

tcf(c_11558,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X3)
      | ssPv1(X1)
      | ~ ssPv4(X4)
      | ~ ssPv2(skf3(X1))
      | ~ ssRr(X4,X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_144,c_101]) ).

tcf(c_11559,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv4(X4)
      | ssPv1(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X1,X4)
      | ~ ssRr(X2,skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_144,c_102]) ).

tcf(c_11589,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(skf2(X0))
      | ssPv2(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_11446]) ).

tcf(c_11643,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv2(X0)
      | ssPv4(skf3(X0))
      | ~ ssPv4(X3)
      | ~ ssPv1(X4)
      | ~ ssRr(X2,X4)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_146,c_101]) ).

tcf(c_11680,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_8266]) ).

tcf(c_11703,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_8330]) ).

tcf(c_11705,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_8330]) ).

tcf(c_11776,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X2)
      | ~ ssRr(X2,X1)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(X1,skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_9442]) ).

tcf(c_11784,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv1(X2)
      | ssPv4(skf2(X1))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_9443]) ).

tcf(c_11831,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X1)
      | ssPv1(X1)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv1(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X2,X1)
      | ~ ssRr(skf2(skf2(skf2(X0))),X1)
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0)))) ),
    inference(instantiation,[status(thm)],[c_9169]) ).

tcf(c_11849,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv1(X1)
      | ssPv1(skf2(X1))
      | ssPv3(skf2(skf2(X1)))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_11589,c_4397]) ).

tcf(c_11881,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv4(skf3(X1))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssRr(X1,X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_9482]) ).

tcf(c_11920,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(resolution,[status(thm)],[c_9035,c_101]) ).

tcf(c_11921,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_9035,c_102]) ).

tcf(c_11931,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X3)
      | ~ ssPv3(X1)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X2,skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),X1)
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_10191]) ).

tcf(c_11946,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv3(skf2(skf2(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssPv2(skf3(skf3(skf2(X0))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf3(skf2(X0)),skf2(X0))
      | ~ ssRr(skf3(skf3(skf2(X0))),skf3(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_8331]) ).

tcf(c_12019,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X3)
      | ssPv1(X0)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(X2)
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_9519]) ).

tcf(c_12041,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X3)
      | ssPv4(skf3(X0))
      | ssPv1(skf2(X1))
      | ~ ssPv2(X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(X0),X2)
      | ~ ssRr(skf3(X0),X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_9520]) ).

tcf(c_12071,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(skf3(X0))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_11921,c_7612]) ).

tcf(c_12108,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_9036,c_102]) ).

tcf(c_12636,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X1))
      | ssPv3(skf3(X1))
      | ssPv3(skf3(X0))
      | ~ ssPv4(X1)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_9297,c_101]) ).

tcf(c_12638,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_9297,c_102]) ).

tcf(c_12761,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ssPv2(skf3(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_5672]) ).

tcf(c_12773,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(X0)
      | ssPv2(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_7561]) ).

tcf(c_12903,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(X0)
      | ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1127]) ).

tcf(c_12910,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_12903]) ).

tcf(c_12963,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_12638,c_101]) ).

tcf(c_12964,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_12638,c_102]) ).

tcf(c_13003,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0)
      | ssPv3(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_12963,c_7672]) ).

tcf(c_13016,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(skf2(X0)))
      | ~ ssPv3(X1)
      | ~ ssRr(X0,skf2(X0))
      | ~ ssPv1(skf3(skf2(skf2(X0))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(skf2(X0))),X1)
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0))))
      | ~ ssRr(skf3(skf2(skf2(X0))),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_8313]) ).

tcf(c_13025,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_10747,c_12910]) ).

tcf(c_13230,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_12964,c_8540]) ).

tcf(c_13238,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(skf2(X1)))
      | ~ ssPv3(X1)
      | ~ ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1403]) ).

tcf(c_13244,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_13238]) ).

tcf(c_13275,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv2(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(X1)
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(resolution,[status(thm)],[c_9298,c_102]) ).

tcf(c_13281,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_13244,c_7905]) ).

tcf(c_13295,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(skf3(X0))
      | ssPv2(skf2(skf3(X0)))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_9322,c_101]) ).

tcf(c_13297,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(X0)
      | ssPv2(skf2(X0))
      | ~ ssPv4(X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_9322,c_102]) ).

tcf(c_13329,plain,
    ! [X0: $i] :
      ( ~ ssPv2(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_9109,c_101]) ).

tcf(c_13372,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv2(skf3(X0))
      | ~ ssPv2(skf3(X1))
      | ~ ssPv4(skf3(X1))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_9341,c_101]) ).

tcf(c_13373,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(X1))
      | ~ ssPv2(X1)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_9341,c_102]) ).

tcf(c_13406,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0) ),
    inference(resolution,[status(thm)],[c_13297,c_102]) ).

tcf(c_13482,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_13373,c_102]) ).

tcf(c_13496,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(skf2(skf2(X0))))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_9600,c_1562]) ).

tcf(c_13524,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv2(X0)
      | ~ ssRr(X0,skf2(X0))
      | ~ ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssPv3(skf3(skf3(skf2(skf2(X0)))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0))))
      | ~ ssRr(skf3(skf2(skf2(X0))),skf2(skf2(X0)))
      | ~ ssRr(skf3(skf3(skf2(skf2(X0)))),skf3(skf2(skf2(X0)))) ),
    inference(instantiation,[status(thm)],[c_8403]) ).

tcf(c_13570,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv4(X0) ),
    inference(resolution,[status(thm)],[c_12636,c_101]) ).

tcf(c_13594,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_13570,c_7672]) ).

tcf(c_13609,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X2)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(X3)
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_8458]) ).

tcf(c_13625,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X1)
      | ssPv4(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv2(X3)
      | ~ ssRr(X3,X2)
      | ~ ssRr(X2,skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),X1)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_8495]) ).

tcf(c_13639,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(X1))
      | ssPv3(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(skf2(X0))))
      | ssPv1(skf3(skf2(skf2(X0))))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(skf2(skf2(X0))),X1)
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0))))
      | ~ ssRr(skf3(skf2(skf2(X0))),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_9163]) ).

tcf(c_13662,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(skf3(X0)))
      | ssPv2(skf2(skf3(skf3(X0))))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_13295,c_101]) ).

tcf(c_13670,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X3)
      | ssPv1(X2)
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssRr(X1,X3)
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssRr(skf3(skf3(skf3(X0))),X1)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_9625]) ).

tcf(c_13697,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf2(X1))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(skf2(X0)),X1)
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf3(skf2(X0)),skf2(X0)) ),
    inference(instantiation,[status(thm)],[c_10173]) ).

tcf(c_13748,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv2(X4)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(X3)
      | ~ ssRr(X2,X4)
      | ~ ssRr(X1,X3)
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),X2)
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),X1)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_8579]) ).

tcf(c_13816,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv2(skf3(skf3(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_8037,c_101]) ).

tcf(c_13825,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv4(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1365]) ).

tcf(c_13834,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ssPv4(skf2(X0))
      | ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssPv2(X0) ),
    inference(resolution,[status(thm)],[c_13816,c_3969]) ).

tcf(c_13845,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_13825]) ).

tcf(c_14354,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf2(X1))
      | ssPv3(skf3(skf3(skf2(X0))))
      | ~ ssPv4(skf2(X1))
      | ~ ssPv2(skf2(skf2(X1)))
      | ~ ssRr(skf2(X1),skf2(skf2(X1)))
      | ~ ssRr(skf3(skf2(X0)),skf2(X1))
      | ~ ssRr(skf3(skf3(skf2(X0))),skf3(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_10159]) ).

tcf(c_14387,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_6683]) ).

tcf(c_14388,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(skf2(skf3(X0)),X1) ),
    inference(superposition,[status(thm)],[c_102,c_6683]) ).

tcf(c_14397,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_6960]) ).

tcf(c_14421,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf3(X1))
      | ssPv3(skf3(X0))
      | ~ ssPv2(X1)
      | ~ ssPv4(skf3(X1))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_9428,c_101]) ).

tcf(c_14423,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv3(skf3(X0))
      | ~ ssPv4(X1)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_9428,c_102]) ).

tcf(c_14450,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_14387]) ).

tcf(c_14465,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv2(X1)
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(resolution,[status(thm)],[c_9429,c_102]) ).

tcf(c_14499,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ~ ssPv2(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_9516,c_101]) ).

tcf(c_14500,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ~ ssPv2(skf2(X1))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_9516,c_102]) ).

tcf(c_14514,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_5824,c_101]) ).

tcf(c_14515,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_5824,c_102]) ).

tcf(c_14530,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv1(X1)
      | ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_9240,c_102]) ).

tcf(c_14552,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_14530,c_102]) ).

tcf(c_14563,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf3(X1))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(X1),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_9661]) ).

tcf(c_14590,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_14397]) ).

tcf(c_14591,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_14397]) ).

tcf(c_14667,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(skf3(X1))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv3(X2)
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(X1),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_9780]) ).

tcf(c_14775,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_14423,c_102]) ).

tcf(c_14799,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv2(X2)
      | ssPv3(skf3(X1))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv3(X4)
      | ~ ssRr(X3,X4)
      | ~ ssRr(skf3(skf3(skf3(X0))),X3)
      | ~ ssRr(X2,skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(X1),skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_9943]) ).

tcf(c_14856,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv4(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_10588,c_14590]) ).

tcf(c_14902,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_11703]) ).

tcf(c_14912,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(skf3(skf3(X1)))
      | ssPv3(skf3(skf3(X1)))
      | ~ ssPv2(X3)
      | ~ ssPv2(X2)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,skf3(skf3(X1)))
      | ~ ssRr(X0,skf3(skf3(X1))) ),
    inference(instantiation,[status(thm)],[c_112]) ).

tcf(c_14924,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X1)
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(X1,skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_4536]) ).

tcf(c_14949,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_6193]) ).

tcf(c_14950,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv2(skf3(X2))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X1,X3)
      | ~ ssRr(X2,skf3(X0))
      | ~ ssRr(skf3(X2),X2)
      | ~ ssRr(skf3(X0),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_4540]) ).

tcf(c_14955,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv4(X2)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),X1)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_2215]) ).

tcf(c_14956,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ssPv4(skf3(skf3(skf3(skf3(X0)))))
      | ssPv2(skf3(skf3(skf3(skf3(skf3(skf3(X0)))))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(skf3(X0)))))),skf3(skf3(skf3(skf3(skf3(X0)))))) ),
    inference(instantiation,[status(thm)],[c_1323]) ).

tcf(c_14974,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X0)
      | ssPv4(skf2(X2))
      | ssPv3(skf3(skf3(X1)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(X2,skf2(X2))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(X0)),skf3(skf3(X1))) ),
    inference(instantiation,[status(thm)],[c_1306]) ).

tcf(c_14979,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X0)
      | ssPv1(X2)
      | ssPv3(skf3(skf3(X1)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X2),X2)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X2))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(X0)),skf3(skf3(X1))) ),
    inference(instantiation,[status(thm)],[c_1305]) ).

tcf(c_15000,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ssPv3(skf2(skf2(skf3(X0))))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_14388]) ).

tcf(c_15036,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv4(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_14499,c_101]) ).

tcf(c_15048,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_14500,c_101]) ).

tcf(c_15050,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_14500,c_102]) ).

tcf(c_15077,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv2(skf3(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_15050,c_8418]) ).

tcf(c_15114,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_14514,c_101]) ).

tcf(c_15123,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv1(X1)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_9122]) ).

tcf(c_15135,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_14515,c_101]) ).

tcf(c_15144,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(X1))
      | ssPv3(skf2(skf2(skf2(X1))))
      | ~ ssPv4(X0)
      | ~ ssPv3(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_9132]) ).

tcf(c_15160,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_15123]) ).

tcf(c_15191,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X1))
      | ssPv4(skf3(X1))
      | ssPv1(skf3(X1))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(X0,skf3(X1))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_11784]) ).

tcf(c_15193,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv2(skf3(X1))
      | ~ ssRr(X1,X0)
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_11784]) ).

tcf(c_15226,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_15160,c_13845]) ).

tcf(c_15227,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv1(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_15160,c_7905]) ).

tcf(c_15228,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_15160,c_4956]) ).

tcf(c_15242,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssRr(X0,X1)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_11881]) ).

tcf(c_15310,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(X0)
      | ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_9270,c_102]) ).

tcf(c_15315,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(skf2(X2))
      | ssPv4(skf3(X0))
      | ssPv1(skf2(X1))
      | ~ ssPv2(X0)
      | ~ ssRr(X2,skf2(X2))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(X0),X2)
      | ~ ssRr(skf3(X0),X1)
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_12041]) ).

tcf(c_15388,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv4(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_9320,c_101]) ).

tcf(c_15708,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv1(X2)
      | ssPv3(skf2(skf2(skf2(X1))))
      | ~ ssRr(X3,X0)
      | ~ ssPv4(skf2(skf2(skf2(X1))))
      | ~ ssRr(X2,skf2(skf2(skf2(X1))))
      | ~ ssRr(X0,skf2(skf2(skf2(X1)))) ),
    inference(instantiation,[status(thm)],[c_9151]) ).

tcf(c_15717,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_15144]) ).

tcf(c_15796,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ~ ssPv1(X1)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_5794,c_101]) ).

tcf(c_15812,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf2(X1))
      | ssPv1(skf3(skf3(skf2(X1))))
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_9371]) ).

tcf(c_15820,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_9412]) ).

tcf(c_15844,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv3(X1)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_9440]) ).

tcf(c_15864,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv1(X2)
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf2(skf3(X0))))
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_9956]) ).

tcf(c_15865,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv1(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_9956]) ).

tcf(c_15878,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_15310,c_101]) ).

tcf(c_15879,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_15310,c_102]) ).

tcf(c_15885,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_15820]) ).

tcf(c_15886,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_15820]) ).

tcf(c_15897,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_15878,c_7612]) ).

tcf(c_15927,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_15388,c_101]) ).

tcf(c_15928,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_15388,c_102]) ).

tcf(c_15966,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_15844]) ).

tcf(c_15989,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_15966,c_1349]) ).

tcf(c_15991,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv4(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_15966,c_12910]) ).

tcf(c_16054,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_15796,c_101]) ).

tcf(c_16183,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_16054,c_12963]) ).

tcf(c_16193,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X1)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(X1,skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_11776]) ).

tcf(c_16204,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv1(X0)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_12019]) ).

tcf(c_16299,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv1(skf3(skf3(skf2(X0))))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_15812]) ).

tcf(c_16342,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv4(X1)
      | ~ ssPv1(X2)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X2,skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_15000,c_10014]) ).

tcf(c_16379,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(skf2(skf2(X0)))))
      | ssPv1(skf2(skf2(skf2(skf2(X0)))))
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X1,skf2(skf2(skf2(skf2(X0)))))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0))))
      | ~ ssRr(skf2(skf2(skf2(X0))),skf2(skf2(skf2(skf2(X0))))) ),
    inference(instantiation,[status(thm)],[c_11831]) ).

tcf(c_16396,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv1(skf2(X2))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_5863,c_101]) ).

tcf(c_16431,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X2)
      | ~ ssRr(X2,X1)
      | ~ ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssRr(X1,skf2(skf2(X0)))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0)))) ),
    inference(instantiation,[status(thm)],[c_11931]) ).

tcf(c_16449,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv1(X1)
      | ssPv3(skf3(skf3(X1)))
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_5937,c_101]) ).

tcf(c_16514,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv4(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv1(X2)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_6017,c_101]) ).

tcf(c_16515,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv4(skf2(X1))
      | ssPv1(skf3(X0))
      | ~ ssPv1(X2)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_6017,c_102]) ).

tcf(c_16546,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv3(skf3(X1))
      | ~ ssPv3(X2)
      | ~ ssPv3(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_3702,c_101]) ).

tcf(c_16579,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv3(skf2(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_8089,c_102]) ).

tcf(c_16658,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf3(skf2(X0)),skf2(X0)) ),
    inference(instantiation,[status(thm)],[c_13697]) ).

tcf(c_16682,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf2(X0))
      | ssPv2(skf3(X0))
      | ssPv4(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_16579,c_3971]) ).

tcf(c_16683,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(X0)
      | ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv4(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_16579,c_8364]) ).

tcf(c_17011,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(skf2(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssPv1(skf3(skf2(skf2(X0))))
      | ~ ssPv3(skf2(skf2(skf2(skf2(X0)))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0))))
      | ~ ssRr(skf3(skf2(skf2(X0))),skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(skf2(X0))),skf2(skf2(skf2(skf2(X0))))) ),
    inference(instantiation,[status(thm)],[c_13016]) ).

tcf(c_17020,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_15865]) ).

tcf(c_17141,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_17020]) ).

tcf(c_17339,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_13372,c_101]) ).

tcf(c_17359,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ~ ssRr(X1,X2)
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv1(skf3(skf3(skf3(skf3(skf3(X0))))))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),X1)
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0))))) ),
    inference(instantiation,[status(thm)],[c_7766]) ).

tcf(c_17383,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_17141,c_12910]) ).

tcf(c_17411,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv2(X0)
      | ~ ssPv4(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_14421,c_101]) ).

tcf(c_17426,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ~ ssPv2(X0)
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_17411,c_13329]) ).

tcf(c_17567,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf2(skf2(X1)))
      | ssPv3(skf3(skf3(skf2(X0))))
      | ~ ssPv4(skf2(skf2(X1)))
      | ~ ssPv2(skf2(skf2(skf2(X1))))
      | ~ ssRr(skf3(skf2(X0)),skf2(skf2(X1)))
      | ~ ssRr(skf2(skf2(X1)),skf2(skf2(skf2(X1))))
      | ~ ssRr(skf3(skf3(skf2(X0))),skf3(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_14354]) ).

tcf(c_17760,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv3(X2)
      | ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1440]) ).

tcf(c_17847,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(skf2(X0))))
      | ssPv1(skf2(skf2(skf2(X0))))
      | ssPv1(skf3(skf2(skf2(X0))))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0))))
      | ~ ssRr(skf3(skf2(skf2(X0))),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_13639]) ).

tcf(c_17865,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(skf2(skf2(X0))))) ),
    inference(resolution,[status(thm)],[c_7196,c_102]) ).

tcf(c_17873,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv1(X1)
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_13670]) ).

tcf(c_17896,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(X1)
      | ssPv1(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_7159]) ).

tcf(c_17906,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(skf2(X0))
      | ssPv2(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_17865,c_16579]) ).

tcf(c_17980,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_7543,c_102]) ).

tcf(c_18007,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(X1)
      | ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_17760]) ).

tcf(c_18065,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv3(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_18007]) ).

tcf(c_18080,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv4(skf3(X0))
      | ~ ssPv2(X1)
      | ~ ssPv3(skf3(X1))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_4271,c_101]) ).

tcf(c_18117,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_18065,c_14590]) ).

tcf(c_18153,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(skf3(X0))
      | ~ ssPv2(X1)
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_6188,c_101]) ).

tcf(c_18211,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ssPv2(skf3(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_102,c_17896]) ).

tcf(c_18229,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv4(X0)
      | ~ ssPv4(X1)
      | ~ ssPv4(skf2(X2))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_9579,c_102]) ).

tcf(c_18243,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_13609]) ).

tcf(c_18283,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv4(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv2(X1)
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),X2)
      | ~ ssRr(X1,skf3(skf3(skf3(skf3(skf3(X0))))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0))))) ),
    inference(instantiation,[status(thm)],[c_13625]) ).

tcf(c_18374,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X1))
      | ssPv4(skf3(X1))
      | ssPv1(skf3(X1))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_8263,c_101]) ).

tcf(c_18376,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(X1)
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_8263,c_102]) ).

tcf(c_18437,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_18376,c_101]) ).

tcf(c_18439,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv4(skf2(skf2(skf2(X0))))
      | ~ ssPv2(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_18376,c_102]) ).

tcf(c_18715,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(X1)
      | ssPv1(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_7621]) ).

tcf(c_18767,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_18437,c_3969]) ).

tcf(c_18768,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_18437,c_4976]) ).

tcf(c_18787,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X2)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(X3)
      | ~ ssRr(X1,X3)
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),X2)
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),X1)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_13748]) ).

tcf(c_19189,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv2(skf3(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssPv3(skf3(skf3(skf2(X0)))) ),
    inference(superposition,[status(thm)],[c_7748,c_7747]) ).

tcf(c_19218,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_18715]) ).

tcf(c_19252,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_18374,c_101]) ).

tcf(c_19277,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv4(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_19252,c_4866]) ).

tcf(c_19278,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv4(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_19252,c_7109]) ).

tcf(c_19288,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv1(X1)
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf2(skf3(X0))))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_15864]) ).

tcf(c_19297,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ssPv4(skf2(skf2(skf3(skf3(X0))))) ),
    inference(superposition,[status(thm)],[c_101,c_19288]) ).

tcf(c_19347,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_13275,c_102]) ).

tcf(c_19359,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_19347,c_8540]) ).

tcf(c_19442,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv4(X2)
      | ~ ssPv3(skf3(X1))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_9655,c_101]) ).

tcf(c_19443,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv1(X0)
      | ~ ssPv4(X2)
      | ~ ssPv3(skf3(X1))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_9655,c_102]) ).

tcf(c_19504,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv3(skf2(skf2(X2)))
      | ~ ssPv4(X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_9730,c_102]) ).

tcf(c_19587,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_14563]) ).

tcf(c_19640,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X1)
      | ssPv3(skf2(X2))
      | ~ ssPv3(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_9802,c_101]) ).

tcf(c_19687,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv3(X1)
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_14667]) ).

tcf(c_19709,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(skf3(skf3(X0))))))
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0))))) ),
    inference(instantiation,[status(thm)],[c_11680]) ).

tcf(c_19710,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ~ ssRr(X1,X2)
      | ~ ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),X1)
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_7766]) ).

tcf(c_19752,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X1))
      | ssPv3(skf3(X1))
      | ssPv1(skf3(X0))
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_16396,c_101]) ).

tcf(c_19835,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_19752,c_101]) ).

tcf(c_19870,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_19835,c_15114]) ).

tcf(c_19880,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(skf3(X1))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ssPv2(skf3(skf3(skf3(skf3(skf3(X0))))))
      | ~ ssPv3(X3)
      | ~ ssRr(X2,X3)
      | ~ ssRr(skf3(skf3(skf3(X0))),X2)
      | ~ ssRr(skf3(X1),skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0))))) ),
    inference(instantiation,[status(thm)],[c_14799]) ).

tcf(c_19890,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_7904]) ).

tcf(c_19984,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv2(X2)
      | ~ ssRr(X2,X1)
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssRr(X1,skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_14912]) ).

tcf(c_20039,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(X1)
      | ssPv3(skf3(skf3(X1)))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_16449,c_101]) ).

tcf(c_20041,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(X1)
      | ssPv3(skf3(skf3(X1)))
      | ~ ssPv1(X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_16449,c_102]) ).

tcf(c_20146,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_20039,c_101]) ).

tcf(c_20148,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf3(skf3(skf2(X0))))
      | ~ ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_20039,c_102]) ).

tcf(c_20152,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_15191]) ).

tcf(c_20164,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_15193]) ).

tcf(c_20223,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ~ ssPv2(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_20146,c_13329]) ).

tcf(c_20240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(skf2(X2))
      | ssPv1(skf2(X1))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X2,skf2(X2))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_15315]) ).

tcf(c_20335,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_9275,c_10747]) ).

tcf(c_20482,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(X0)
      | ssPv4(skf3(skf3(X1)))
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1106]) ).

tcf(c_20489,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(X0)
      | ssPv1(skf3(skf3(X1)))
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1126]) ).

tcf(c_20636,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_7128]) ).

tcf(c_20863,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_20335,c_1349]) ).

tcf(c_20876,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_20863,c_1350,c_1562,c_5640,c_7830,c_8540,c_9590,c_10839,c_12071,c_13834,c_14450,c_15989,c_16579]) ).

tcf(c_20884,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(superposition,[status(thm)],[c_4327,c_20876]) ).

tcf(c_20922,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_101,c_20482]) ).

tcf(c_20923,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf3(skf3(skf2(X0))))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_20482]) ).

tcf(c_20937,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_101,c_20489]) ).

tcf(c_20970,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_20335,c_1350]) ).

tcf(c_20971,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_20970,c_1350,c_8540]) ).

tcf(c_20980,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(superposition,[status(thm)],[c_4327,c_20971]) ).

tcf(c_21017,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_3825]) ).

tcf(c_21018,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_102,c_3825]) ).

tcf(c_21055,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_4383]) ).

tcf(c_21101,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(skf2(X1)))
      | ~ ssPv3(X1)
      | ~ ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1403]) ).

tcf(c_21169,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_4467]) ).

tcf(c_21186,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_4932]) ).

tcf(c_21187,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_4932]) ).

tcf(c_21201,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv3(X1)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1240]) ).

tcf(c_21208,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv3(skf2(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X1,X0)
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_1374]) ).

tcf(c_21231,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv2(skf2(X1))
      | ssPv3(skf2(X1))
      | ~ ssPv3(X1)
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_20335,c_4940]) ).

tcf(c_21245,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_21101]) ).

tcf(c_21254,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_21245,c_20876]) ).

tcf(c_21283,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1185]) ).

tcf(c_21290,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_102,c_21283]) ).

tcf(c_21311,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_21231]) ).

tcf(c_21400,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_21201]) ).

tcf(c_21434,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv3(X2)
      | ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1440]) ).

tcf(c_21495,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv2(skf3(X0))
      | ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_21434]) ).

tcf(c_21496,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(X1)
      | ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_21434]) ).

tcf(c_21502,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv3(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_21496]) ).

tcf(c_21513,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(skf3(X0))))) ),
    inference(superposition,[status(thm)],[c_101,c_21495]) ).

tcf(c_21514,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_102,c_21495]) ).

tcf(c_21519,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X1))
      | ssPv3(skf2(X1))
      | ssPv3(skf3(X1))
      | ssPv4(skf3(X1))
      | ~ ssPv2(X0)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_21514,c_3886]) ).

tcf(c_21524,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv2(skf3(skf3(X1)))
      | ssPv3(skf3(skf3(X1)))
      | ssPv4(skf3(skf3(X1)))
      | ~ ssPv2(X0)
      | ~ ssRr(X0,skf3(skf3(X1))) ),
    inference(superposition,[status(thm)],[c_21513,c_3886]) ).

tcf(c_21546,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf3(X0))
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_21519]) ).

tcf(c_21553,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_101,c_21524]) ).

tcf(c_21562,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(X1)
      | ssPv1(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_7621]) ).

tcf(c_21593,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ssPv3(skf2(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_21514,c_21546]) ).

tcf(c_21666,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_7119]) ).

tcf(c_21667,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_7119]) ).

tcf(c_21674,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_5777]) ).

tcf(c_21683,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf2(X0))
      | ssPv2(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_6460]) ).

tcf(c_21684,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(X0)
      | ~ ssPv2(X1)
      | ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_9704,c_4251,c_4383,c_6570,c_7507,c_9704,c_15114]) ).

tcf(c_21685,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv2(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_21684]) ).

tcf(c_21691,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_21685]) ).

tcf(c_21692,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_21685]) ).

tcf(c_21700,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_5832,c_21692]) ).

tcf(c_21774,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_21683,c_21692]) ).

tcf(c_21775,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv3(X0)
      | ssPv3(skf2(X1))
      | ssPv1(skf2(X1))
      | ssPv3(skf2(skf2(X1)))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_21683,c_21208]) ).

tcf(c_21776,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ssPv1(X1)
      | ssPv1(skf2(X1))
      | ssPv3(skf2(skf2(X1)))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_21683,c_4397]) ).

tcf(c_21796,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv1(X1)
      | ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1107]) ).

tcf(c_21803,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_21796]) ).

tcf(c_21834,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_21775]) ).

tcf(c_21854,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_20335,c_21803]) ).

tcf(c_21871,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(X0)
      | ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1127]) ).

tcf(c_21877,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_21871]) ).

tcf(c_21878,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_21871]) ).

tcf(c_21894,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_20335,c_21878]) ).

tcf(c_21935,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_21514,c_21553]) ).

tcf(c_21944,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssPv3(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_21854,c_4853,c_7271,c_7507,c_7610,c_10579,c_13025,c_15114,c_18767,c_20146,c_20223]) ).

tcf(c_21945,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(renaming,[status(thm)],[c_21944]) ).

tcf(c_21953,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_21894,c_17383,c_20971]) ).

tcf(c_21979,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_21562]) ).

tcf(c_21987,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ssPv1(skf3(X1))
      | ~ ssPv2(X0)
      | ~ ssPv4(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_21979,c_3886]) ).

tcf(c_22042,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv4(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1365]) ).

tcf(c_22049,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_22042]) ).

tcf(c_22085,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_21987]) ).

tcf(c_22145,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_4948]) ).

tcf(c_22171,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_21245,c_7905]) ).

tcf(c_22172,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_20636,c_7905]) ).

tcf(c_22173,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv4(X2)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_4327,c_7905]) ).

tcf(c_22193,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv1(skf3(X2))
      | ~ ssPv2(X2)
      | ~ ssPv3(X0)
      | ~ ssPv4(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_20922,c_9096]) ).

tcf(c_22195,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X1)
      | ssPv3(skf2(X1))
      | ~ ssPv3(X2)
      | ~ ssPv2(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_20923,c_9096]) ).

tcf(c_22202,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_1402]) ).

tcf(c_22222,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1451]) ).

tcf(c_22230,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X1)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_22222]) ).

tcf(c_22257,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(skf3(X1))
      | ~ ssPv2(X1)
      | ~ ssPv4(X1)
      | ~ ssPv3(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_22193]) ).

tcf(c_22264,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_22230]) ).

tcf(c_22401,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_22171]) ).

tcf(c_22463,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_22401]) ).

tcf(c_22494,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv1(X2)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1504]) ).

tcf(c_22502,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_22494]) ).

tcf(c_22509,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_22502]) ).

tcf(c_22510,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv4(skf2(skf2(skf2(X0))))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_22502]) ).

tcf(c_22522,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv3(X0)
      | ssPv2(skf2(X1))
      | ssPv3(skf2(X1))
      | ssPv1(skf3(X1))
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_22509,c_4940]) ).

tcf(c_22572,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_6683]) ).

tcf(c_22574,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(X1))
      | ~ ssPv4(X0)
      | ssPv3(skf2(skf2(X1)))
      | ssPv1(skf2(X1))
      | ssPv1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_21776,c_11849]) ).

tcf(c_22575,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv1(X1)
      | ssPv1(skf2(X1))
      | ssPv3(skf2(skf2(X1)))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_22574]) ).

tcf(c_22583,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_22575]) ).

tcf(c_22613,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_22172]) ).

tcf(c_22620,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_22572]) ).

tcf(c_22640,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_21400,c_22620]) ).

tcf(c_22655,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_22583,c_102,c_1028,c_1166,c_2184,c_3091,c_4573,c_4853,c_5537,c_9375,c_9688,c_15050,c_15077,c_17011,c_17847,c_17906,c_18767,c_19189,c_19347,c_19359,c_20148,c_22583]) ).

tcf(c_22670,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_22613]) ).

tcf(c_22691,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_6960]) ).

tcf(c_22698,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_22691]) ).

tcf(c_22699,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_22691]) ).

tcf(c_22724,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(X0)
      | ssPv1(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv4(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_21979,c_22698]) ).

tcf(c_22726,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_21502,c_22698]) ).

tcf(c_22733,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_22726,c_102,c_101,c_1024,c_1349,c_3969,c_4853,c_5842,c_7507,c_8538,c_11705,c_15114,c_18117,c_18767,c_19870,c_20146,c_20980]) ).

tcf(c_22791,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X1,X0)
      | ~ ssPv1(skf3(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_9122]) ).

tcf(c_22792,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv1(X1)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_9122]) ).

tcf(c_22798,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_22792]) ).

tcf(c_22809,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_22798,c_22049]) ).

tcf(c_22810,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_22798,c_4956]) ).

tcf(c_22812,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_22798,c_20876]) ).

tcf(c_22839,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X1))
      | ssPv1(skf3(X1))
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv2(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_21169,c_22791]) ).

tcf(c_22849,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_9412]) ).

tcf(c_22857,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_22849]) ).

tcf(c_22867,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ~ ssPv2(X0)
      | ~ ssPv4(skf2(X1))
      | ~ ssPv4(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_22857,c_3886]) ).

tcf(c_22889,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(skf2(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_22810,c_7119,c_15228]) ).

tcf(c_22890,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_22889]) ).

tcf(c_22897,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_22890]) ).

tcf(c_22906,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_22867]) ).

tcf(c_22910,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv3(X0)
      | ssPv4(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_22809,c_102,c_1028,c_8540,c_9375,c_10747,c_15226]) ).

tcf(c_22911,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(renaming,[status(thm)],[c_22910]) ).

tcf(c_23036,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv3(X1)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_9440]) ).

tcf(c_23042,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_23036]) ).

tcf(c_23054,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv4(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_23042,c_21878]) ).

tcf(c_23087,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv1(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_9956]) ).

tcf(c_23088,plain,
    ! [X0: $i] :
      ( ~ ssPv2(skf2(X0))
      | ~ ssPv3(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf2(X0))
      | ssPv4(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_23054,c_15991,c_22897]) ).

tcf(c_23089,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(renaming,[status(thm)],[c_23088]) ).

tcf(c_23120,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_23087]) ).

tcf(c_23127,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_23120]) ).

tcf(c_23140,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv1(X1)
      | ssPv2(skf2(X1))
      | ssPv3(skf2(X1))
      | ssPv1(skf2(skf2(X1)))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_23127,c_4940]) ).

tcf(c_23454,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ssPv3(skf3(skf3(skf2(skf2(X0)))))
      | ~ ssPv1(X0) ),
    inference(resolution,[status(thm)],[c_20041,c_102]) ).

tcf(c_23756,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv1(X1)
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(resolution,[status(thm)],[c_16514,c_101]) ).

tcf(c_23873,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(X1))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssRr(skf3(X0),X1) ),
    inference(resolution,[status(thm)],[c_16515,c_101]) ).

tcf(c_23875,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv4(skf2(X1))
      | ssPv1(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_16515,c_102]) ).

tcf(c_23890,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_11680]) ).

tcf(c_23957,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(skf2(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_23875,c_101]) ).

tcf(c_24121,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(skf2(skf2(X0))))
      | ~ ssPv3(X1)
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X1,skf2(skf2(X0)))
      | ~ ssPv3(skf2(skf2(skf2(skf2(X0)))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0))))
      | ~ ssRr(skf2(skf2(skf2(X0))),skf2(skf2(skf2(skf2(X0))))) ),
    inference(instantiation,[status(thm)],[c_8400]) ).

tcf(c_24136,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1525]) ).

tcf(c_24162,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(skf2(skf2(X2)))
      | ~ ssPv2(X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_9876,c_102]) ).

tcf(c_24218,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_23140]) ).

tcf(c_24248,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv2(skf3(X0))
      | ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_9975,c_101]) ).

tcf(c_24250,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv2(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_9975,c_102]) ).

tcf(c_24262,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(superposition,[status(thm)],[c_24218,c_22049]) ).

tcf(c_24352,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv4(skf2(X1))
      | ssPv1(skf2(X1))
      | ~ ssPv1(X0)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_5938,c_102]) ).

tcf(c_24433,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_23957,c_17980]) ).

tcf(c_24600,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0) ),
    inference(resolution,[status(thm)],[c_23873,c_101]) ).

tcf(c_24602,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ssPv4(skf2(skf2(skf3(X0))))
      | ~ ssPv1(X0) ),
    inference(resolution,[status(thm)],[c_23873,c_102]) ).

tcf(c_24681,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf3(X0))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv4(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_24136]) ).

tcf(c_24682,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_24136]) ).

tcf(c_24826,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_24682]) ).

tcf(c_24832,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf3(skf3(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_23127,c_24826]) ).

tcf(c_24839,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_21290,c_24826]) ).

tcf(c_24886,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf3(X1))
      | ssPv4(skf2(X1))
      | ssPv1(skf2(X1))
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_24352,c_101]) ).

tcf(c_24888,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv4(skf2(skf2(X1)))
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv1(X0)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(resolution,[status(thm)],[c_24352,c_102]) ).

tcf(c_24900,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_24886,c_101]) ).

tcf(c_24902,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0) ),
    inference(resolution,[status(thm)],[c_24886,c_102]) ).

tcf(c_24951,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_24681]) ).

tcf(c_24952,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_24681]) ).

tcf(c_25017,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(skf3(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_24888,c_101]) ).

tcf(c_25019,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0) ),
    inference(resolution,[status(thm)],[c_24888,c_102]) ).

tcf(c_25022,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv1(X0)
      | ssPv2(skf2(X0))
      | ~ ssPv4(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1)
      | ~ ssRr(X0,skf2(X0)) ),
    inference(instantiation,[status(thm)],[c_109]) ).

tcf(c_25142,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1589]) ).

tcf(c_25183,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf3(X1))
      | ssPv1(skf3(skf3(skf3(X1))))
      | ~ ssPv3(X0)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_25142]) ).

tcf(c_25184,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(skf3(skf3(X1)))
      | ~ ssPv3(X0)
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_25142]) ).

tcf(c_25272,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_25184]) ).

tcf(c_25314,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf2(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_25272,c_21667]) ).

tcf(c_25319,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv1(X1)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_25272,c_22202]) ).

tcf(c_25321,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_25272,c_21666]) ).

tcf(c_25476,plain,
    ! [X0: $i] :
      ( ~ ssPv3(skf2(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv4(skf2(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(X0),skf2(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_8233]) ).

tcf(c_25478,plain,
    ! [X0: $i] :
      ( ~ ssPv4(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv3(skf2(skf2(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_8233]) ).

tcf(c_25629,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X0)
      | ~ ssPv1(X2)
      | ~ ssRr(X1,X2)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(resolution,[status(thm)],[c_11315,c_101]) ).

tcf(c_25666,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(skf2(X0))
      | ~ ssPv1(X2)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(resolution,[status(thm)],[c_11316,c_101]) ).

tcf(c_25668,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(skf2(skf2(X2)))
      | ~ ssPv4(X2)
      | ~ ssPv1(X2)
      | ~ ssPv1(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_11316,c_102]) ).

tcf(c_25725,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv4(X0)
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_25183]) ).

tcf(c_25746,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_25725,c_22145]) ).

tcf(c_25747,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_25725,c_21666]) ).

tcf(c_25769,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ~ ssPv4(X2)
      | ~ ssPv2(skf3(X1))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_11346,c_101]) ).

tcf(c_25809,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf2(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(X0),skf2(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_1170]) ).

tcf(c_25897,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf3(X0))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv4(X1)
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_7048]) ).

tcf(c_26146,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_2257]) ).

tcf(c_26176,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(skf3(skf3(X1))))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf3(X1))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_26146]) ).

tcf(c_26177,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(X1))
      | ssPv1(skf3(skf3(X1)))
      | ~ ssPv2(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_26146]) ).

tcf(c_26223,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_26177]) ).

tcf(c_26235,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssPv2(skf2(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_14465,c_102]) ).

tcf(c_26278,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_26223,c_21666]) ).

tcf(c_26344,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf3(X1))
      | ssPv3(skf3(skf3(X1)))
      | ~ ssPv3(X1)
      | ~ ssPv3(skf3(X0))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_16546,c_101]) ).

tcf(c_26346,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv3(skf3(X1))
      | ~ ssPv3(skf2(X1))
      | ~ ssPv3(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_16546,c_102]) ).

tcf(c_26426,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf3(X0))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_26346,c_101]) ).

tcf(c_26428,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv3(skf3(skf2(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv3(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_26346,c_102]) ).

tcf(c_26438,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssRr(X2,X1)
      | ~ ssPv4(skf2(skf2(skf2(X0))))
      | ~ ssRr(X1,skf2(skf2(skf2(X0))))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0)))) ),
    inference(instantiation,[status(thm)],[c_15708]) ).

tcf(c_26527,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf3(X0))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_26426,c_20146]) ).

tcf(c_26535,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf3(skf2(X0)))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv3(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_26426,c_20148]) ).

tcf(c_26646,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(skf2(X0)))
      | ssPv3(skf3(skf3(skf2(skf2(X0)))))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssPv2(skf2(skf2(skf2(X0))))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0))))
      | ~ ssRr(skf3(skf2(skf2(X0))),skf2(skf2(X0)))
      | ~ ssRr(skf3(skf3(skf2(skf2(X0)))),skf3(skf2(skf2(X0)))) ),
    inference(instantiation,[status(thm)],[c_17567]) ).

tcf(c_26730,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_26176]) ).

tcf(c_26927,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ssPv4(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ssPv3(skf3(skf2(skf2(X0))))
      | ~ ssPv3(skf3(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_26428,c_8364]) ).

tcf(c_26935,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf3(skf2(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_26428,c_14552]) ).

tcf(c_26980,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssPv4(skf2(skf2(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(X0)),skf2(skf3(skf3(X0))))
      | ~ ssRr(skf2(skf3(skf3(X0))),skf2(skf2(skf3(skf3(X0))))) ),
    inference(instantiation,[status(thm)],[c_7051]) ).

tcf(c_27113,plain,
    ! [X0: $i] :
      ( ~ ssPv3(X0)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_8209]) ).

tcf(c_27146,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(X0)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(skf3(X0),X1)
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_16204]) ).

tcf(c_27273,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(X1)
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(X1,skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_14924]) ).

tcf(c_27348,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_2978]) ).

tcf(c_27372,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_22640,c_1303,c_4530,c_5831,c_7610,c_8523,c_10856,c_13594,c_14856,c_25746]) ).

tcf(c_27403,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv3(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_26344,c_101]) ).

tcf(c_27411,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv4(X1)
      | ~ ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_14955]) ).

tcf(c_27474,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_27403,c_20146]) ).

tcf(c_27479,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0) ),
    inference(resolution,[status(thm)],[c_27403,c_13570]) ).

tcf(c_27533,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_22724,c_102,c_101,c_1024,c_4531,c_4852,c_5537,c_11705,c_19218]) ).

tcf(c_27536,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ~ ssPv4(skf3(X0))
      | ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_27533,c_102,c_101,c_1024,c_4531,c_4852,c_5537,c_7672,c_10824,c_11705,c_16183,c_19218,c_25272]) ).

tcf(c_27537,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(renaming,[status(thm)],[c_27536]) ).

tcf(c_27543,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_21400,c_27537]) ).

tcf(c_27544,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv1(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_20922,c_27537]) ).

tcf(c_27675,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv4(skf3(X0))
      | ~ ssPv2(skf3(X1))
      | ~ ssPv3(skf3(skf3(X1)))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_18080,c_101]) ).

tcf(c_27677,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X1))
      | ssPv4(skf3(X0))
      | ~ ssPv2(X1)
      | ~ ssPv3(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_18080,c_102]) ).

tcf(c_27722,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_27677,c_101]) ).

tcf(c_27822,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ssPv4(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_23042,c_27348]) ).

tcf(c_28006,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_6190,c_102]) ).

tcf(c_28069,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv2(skf2(X1))
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf3(skf2(X1))) ),
    inference(resolution,[status(thm)],[c_6253,c_101]) ).

tcf(c_28070,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv2(skf2(X1))
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_6253,c_102]) ).

tcf(c_28139,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_3008]) ).

tcf(c_28158,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv4(skf3(skf3(skf3(X1))))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf3(X1))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_28139]) ).

tcf(c_28159,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X1))
      | ssPv4(skf3(skf3(X1)))
      | ~ ssPv2(X1)
      | ~ ssPv3(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_28139]) ).

tcf(c_28206,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_28159]) ).

tcf(c_28222,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(X2)
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_9977,c_102]) ).

tcf(c_28226,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(X0),X1)
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_14950]) ).

tcf(c_28242,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X1))
      | ssPv1(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),X1)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_14974]) ).

tcf(c_28274,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_27722,c_15927]) ).

tcf(c_28282,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv4(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(X1))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_14979]) ).

tcf(c_28409,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(X1)
      | ~ ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf2(skf3(skf3(X0))),X1)
      | ~ ssRr(skf3(skf3(X0)),skf2(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_18243]) ).

tcf(c_28428,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_28158]) ).

tcf(c_28470,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf2(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_28428,c_22620]) ).

tcf(c_28535,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_7904]) ).

tcf(c_28536,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(skf2(skf3(X0)),X1) ),
    inference(superposition,[status(thm)],[c_102,c_7904]) ).

tcf(c_28561,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf2(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_28535]) ).

tcf(c_28562,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_28535]) ).

tcf(c_28600,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_27675,c_101]) ).

tcf(c_28623,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_20937,c_28562]) ).

tcf(c_29354,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X1))
      | ~ ssPv1(skf3(skf3(X1)))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_18153,c_101]) ).

tcf(c_29356,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(X1))
      | ssPv1(skf3(X0))
      | ~ ssPv2(X1)
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_18153,c_102]) ).

tcf(c_29500,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_29356,c_101]) ).

tcf(c_29604,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_29500,c_15135]) ).

tcf(c_29606,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(skf3(X0)))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_29500,c_15114]) ).

tcf(c_29683,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_16193]) ).

tcf(c_29791,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf2(skf3(X0))))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_28536]) ).

tcf(c_29803,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_29354,c_101]) ).

tcf(c_29962,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),X1)
      | ~ ssPv1(skf3(skf3(skf3(skf3(skf3(X0))))))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0))))) ),
    inference(instantiation,[status(thm)],[c_17359]) ).

tcf(c_29986,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_29791,c_24826]) ).

tcf(c_30010,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_29803,c_15114]) ).

tcf(c_30276,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ssPv4(X2)
      | ~ ssPv4(X0)
      | ~ ssPv3(skf2(X1))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_11424,c_102]) ).

tcf(c_30423,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X3)
      | ssPv4(X1)
      | ssPv4(skf2(X2))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X1,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_4441,c_101]) ).

tcf(c_30430,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_19687]) ).

tcf(c_30470,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_19710]) ).

tcf(c_30671,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(X1))))
      | ~ ssRr(X2,skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X1))),X2)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_9771]) ).

tcf(c_30732,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf2(skf3(skf3(X0))),X1)
      | ~ ssRr(skf3(skf3(X0)),skf2(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_9881]) ).

tcf(c_30844,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv4(skf2(X1))
      | ssPv1(skf2(X1))
      | ~ ssPv1(X0)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1462]) ).

tcf(c_30858,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(skf2(skf2(X0)))))
      | ssPv1(skf2(skf2(skf2(skf2(X0)))))
      | ~ ssPv1(X1)
      | ~ ssRr(X1,skf2(skf2(skf2(X0))))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0))))
      | ~ ssRr(skf2(skf2(skf2(X0))),skf2(skf2(skf2(skf2(X0))))) ),
    inference(instantiation,[status(thm)],[c_16379]) ).

tcf(c_30871,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X1))
      | ssPv1(skf2(X1))
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_30844]) ).

tcf(c_30872,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(skf2(X1)))
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv1(X1)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_30844]) ).

tcf(c_30916,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_30871]) ).

tcf(c_30942,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ssPv4(skf2(skf3(X0)))
      | ssPv1(skf2(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_20937,c_30916]) ).

tcf(c_30947,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf3(skf3(skf3(X0))))
      | ssPv4(skf2(skf3(skf3(X0))))
      | ssPv1(skf2(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_26730,c_30916]) ).

tcf(c_31010,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X1)
      | ~ ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssRr(X1,skf3(skf2(skf2(X0))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0))))
      | ~ ssRr(skf3(skf2(skf2(X0))),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_16431]) ).

tcf(c_31250,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X1))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(resolution,[status(thm)],[c_18229,c_102]) ).

tcf(c_31382,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv3(skf3(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_19442,c_102]) ).

tcf(c_31471,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_31382,c_101]) ).

tcf(c_31472,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv3(skf3(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_31382,c_102]) ).

tcf(c_31577,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_28274,c_31471]) ).

tcf(c_31584,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv4(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(skf2(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_31471,c_15114]) ).

tcf(c_31639,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_31472,c_7674]) ).

tcf(c_31676,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_102,c_30872]) ).

tcf(c_31715,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_31676,c_21877]) ).

tcf(c_31720,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf3(skf3(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_31676,c_24826]) ).

tcf(c_32015,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(skf2(X1))
      | ~ ssPv3(X2)
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_11393,c_102]) ).

tcf(c_32610,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv3(skf3(X1))
      | ~ ssPv1(X1)
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_6393,c_101]) ).

tcf(c_33050,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ~ ssPv2(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(superposition,[status(thm)],[c_102,c_1473]) ).

tcf(c_33115,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X1))
      | ssPv1(skf2(X1))
      | ssPv4(skf2(skf2(skf2(X1))))
      | ~ ssPv2(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_33050]) ).

tcf(c_33145,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv4(skf2(skf2(skf2(X0))))
      | ~ ssPv2(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_33115]) ).

tcf(c_33218,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv1(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssPv2(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_33145,c_21878]) ).

tcf(c_33244,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X1)
      | ssPv1(X3)
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf2(X2))
      | ~ ssRr(X1,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_6481,c_101]) ).

tcf(c_33344,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X1)
      | ~ ssPv3(skf3(skf2(skf2(X0))))
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(resolution,[status(thm)],[c_19443,c_102]) ).

tcf(c_33396,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf3(X0))
      | ssPv3(skf2(skf2(skf3(X0))))
      | ~ ssPv1(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_19504,c_101]) ).

tcf(c_33398,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(X1)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_19504,c_102]) ).

tcf(c_33434,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_33398,c_102]) ).

tcf(c_33599,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(skf3(X0)))
      | ssPv3(skf2(skf2(skf3(skf3(X0)))))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_33396,c_101]) ).

tcf(c_33601,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ssPv3(skf2(skf2(skf3(X0))))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_33396,c_102]) ).

tcf(c_33633,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv4(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),X1)
      | ~ ssPv2(skf3(skf3(skf3(skf3(skf3(skf3(X0)))))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(skf3(X0)))))),skf3(skf3(skf3(skf3(skf3(X0)))))) ),
    inference(instantiation,[status(thm)],[c_18283]) ).

tcf(c_33697,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv3(skf2(skf2(X1)))
      | ~ ssPv3(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_19640,c_102]) ).

tcf(c_33709,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X1)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(X2)
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),X2)
      | ~ ssRr(skf3(skf3(skf3(X0))),X1)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_18787]) ).

tcf(c_33754,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(skf3(skf3(skf3(X0))))
      | ssPv2(skf3(skf3(skf3(skf3(skf3(X0))))))
      | ssPv3(skf3(skf3(skf3(skf3(skf3(X0))))))
      | ~ ssPv3(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(skf3(skf3(X0))),X1)
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0))))) ),
    inference(instantiation,[status(thm)],[c_19880]) ).

tcf(c_34137,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_33697,c_101]) ).

tcf(c_34208,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_1503]) ).

tcf(c_34641,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf2(skf2(skf3(X0))))
      | ~ ssRr(skf3(X0),skf2(skf3(X0)))
      | ~ ssRr(skf2(skf3(X0)),skf2(skf2(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_4749]) ).

tcf(c_34727,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X1)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X3)
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_6610,c_101]) ).

tcf(c_34807,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ssPv3(X2)
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X1,X2)
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_11426,c_102]) ).

tcf(c_34929,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X1)
      | ssPv1(skf2(X2))
      | ~ ssPv4(X3)
      | ~ ssPv3(skf3(X0))
      | ~ ssRr(X1,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_11468,c_101]) ).

tcf(c_35089,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X3)
      | ssPv1(X1)
      | ~ ssPv2(skf3(X1))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_11558,c_101]) ).

tcf(c_35299,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf2(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_23756,c_102]) ).

tcf(c_35315,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv3(skf3(X1))
      | ~ ssPv2(skf3(skf2(X0)))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssRr(X1,skf2(skf2(X0)))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf3(skf2(X0)),skf2(X0))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0)))) ),
    inference(instantiation,[status(thm)],[c_8366]) ).

tcf(c_35395,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_6645]) ).

tcf(c_35434,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_35395]) ).

tcf(c_35496,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_24952,c_35434]) ).

tcf(c_35684,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv4(X1)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_24162,c_102]) ).

tcf(c_35863,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_35684,c_102]) ).

tcf(c_35934,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv3(skf2(skf2(X0)))
      | ~ ssPv2(skf3(skf3(skf2(X0))))
      | ~ ssPv3(skf3(skf3(skf2(X0))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf3(skf2(X0)),skf2(X0))
      | ~ ssRr(skf3(skf3(skf2(X0))),skf3(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_11705]) ).

tcf(c_36030,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_6930]) ).

tcf(c_36096,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_36030]) ).

tcf(c_36116,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_22857,c_36096]) ).

tcf(c_36119,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_21674,c_36096]) ).

tcf(c_36121,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_21187,c_36096]) ).

tcf(c_36122,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv4(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_21018,c_36096]) ).

tcf(c_36126,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_21186,c_36096]) ).

tcf(c_36127,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(X0))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_21017,c_36096]) ).

tcf(c_36354,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(resolution,[status(thm)],[c_24248,c_101]) ).

tcf(c_36368,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf2(X1))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(resolution,[status(thm)],[c_24250,c_101]) ).

tcf(c_36369,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_24250,c_102]) ).

tcf(c_36543,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv2(X1)
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssRr(X1,skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_19984]) ).

tcf(c_36587,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_36369,c_102]) ).

tcf(c_36615,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_36587,c_13482]) ).

tcf(c_36617,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(resolution,[status(thm)],[c_36587,c_25019]) ).

tcf(c_36719,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv2(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_22173]) ).

tcf(c_36720,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv4(X1)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_22173]) ).

tcf(c_36938,plain,
    ! [X0: $i] :
      ( ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_27113]) ).

tcf(c_36946,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),X1)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_27146]) ).

tcf(c_36960,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_102,c_36720]) ).

tcf(c_36983,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_36960,c_4327,c_4573,c_8073,c_15050,c_15966,c_17906,c_36960]) ).

tcf(c_37100,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X0)
      | ssPv4(skf3(X0))
      | ~ ssPv4(X3)
      | ~ ssPv1(skf2(X2))
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_11643,c_102]) ).

tcf(c_37119,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv1(X2)
      | ssPv4(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_9955]) ).

tcf(c_37206,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv1(X1)
      | ssPv4(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_37119]) ).

tcf(c_37228,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X0)
      | ssPv1(X2)
      | ~ ssPv2(X3)
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_6394,c_102]) ).

tcf(c_37263,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf3(X0))
      | ssPv4(skf2(skf3(X0)))
      | ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_37206]) ).

tcf(c_37264,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_37206]) ).

tcf(c_37425,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_37264,c_22699]) ).

tcf(c_37426,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_37264,c_21877]) ).

tcf(c_37490,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X2)
      | ssPv1(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X3)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_11559,c_102]) ).

tcf(c_37505,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf3(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_37263,c_22733]) ).

tcf(c_37527,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_36368,c_101]) ).

tcf(c_37528,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv4(skf2(skf2(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_36368,c_102]) ).

tcf(c_37539,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(X0)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_37527,c_18437]) ).

tcf(c_37558,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv3(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ssPv1(skf2(skf2(skf3(X0))))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_37528,c_25019]) ).

tcf(c_38011,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(X1))
      | ssPv4(skf2(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(X0),skf2(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_20240]) ).

tcf(c_38060,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(skf2(X0))))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv3(skf2(skf2(skf2(skf2(X0)))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0))))
      | ~ ssRr(skf2(skf2(skf2(X0))),skf2(skf2(skf2(skf2(X0))))) ),
    inference(instantiation,[status(thm)],[c_24121]) ).

tcf(c_38344,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv4(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssRr(X2,X1)
      | ~ ssPv4(skf2(skf2(X1)))
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_1590]) ).

tcf(c_38362,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv4(skf2(X0))
      | ~ ssPv3(X0)
      | ~ ssRr(X1,X0)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_38344]) ).

tcf(c_38399,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv1(X0)
      | ssPv4(skf2(X1))
      | ssPv1(skf3(X1))
      | ~ ssPv3(X1)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_22509,c_38362]) ).

tcf(c_38586,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(X0),skf3(X1))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_28226]) ).

tcf(c_39133,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv1(X1)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_28006,c_102]) ).

tcf(c_39162,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_39133,c_101]) ).

tcf(c_39632,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf2(X1))
      | ssPv1(skf3(X1))
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_28070,c_101]) ).

tcf(c_40436,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X1))
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(X1))
      | ~ ssPv2(skf2(X1))
      | ssPv1(skf2(skf2(X1))) ),
    inference(global_subsumption_just,[status(thm)],[c_22839,c_4468,c_15123]) ).

tcf(c_40437,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X1))
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv2(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_40436]) ).

tcf(c_40444,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_40437]) ).

tcf(c_41683,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(skf3(skf3(X0))))
      | ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(skf3(skf3(X0))))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0))))) ),
    inference(instantiation,[status(thm)],[c_30430]) ).

tcf(c_41697,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf3(skf3(X0))))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(skf3(skf3(skf3(skf3(X0))))))
      | ~ ssRr(skf3(skf3(X0)),skf2(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0))))) ),
    inference(instantiation,[status(thm)],[c_20152]) ).

tcf(c_41772,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv4(skf3(X0))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_17873]) ).

tcf(c_41972,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_25897]) ).

tcf(c_41978,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv4(skf2(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(X0)),skf2(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_25897]) ).

tcf(c_42816,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssPv4(skf2(skf2(skf2(X0))))
      | ~ ssRr(X1,skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0)))) ),
    inference(instantiation,[status(thm)],[c_26438]) ).

tcf(c_43028,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(skf2(skf3(X0))))
      | ~ ssPv1(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_25668,c_101]) ).

tcf(c_43030,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(resolution,[status(thm)],[c_25668,c_102]) ).

tcf(c_43105,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_43030,c_102]) ).

tcf(c_43140,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_43105,c_36587]) ).

tcf(c_43195,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv4(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_27273]) ).

tcf(c_43274,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_27411]) ).

tcf(c_43280,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv4(skf2(skf3(skf3(X0))))
      | ~ ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),skf2(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_27411]) ).

tcf(c_43421,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf2(skf3(X0))))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_43028,c_102]) ).

tcf(c_43471,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_7859]) ).

tcf(c_43490,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_43421,c_37528]) ).

tcf(c_43497,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_43471]) ).

tcf(c_43498,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_43471]) ).

tcf(c_43511,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_28206,c_43497]) ).

tcf(c_43512,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_21400,c_43497]) ).

tcf(c_43514,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_28428,c_43497]) ).

tcf(c_43634,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv4(skf2(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_28206,c_43498]) ).

tcf(c_43726,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_30470]) ).

tcf(c_44025,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv3(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,skf3(skf2(X1))) ),
    inference(superposition,[status(thm)],[c_101,c_22195]) ).

tcf(c_44026,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv3(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_22195]) ).

tcf(c_44283,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf3(X1))
      | ~ ssPv4(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv2(skf3(skf3(X1)))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_25769,c_101]) ).

tcf(c_44284,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ~ ssPv2(skf3(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_25769,c_102]) ).

tcf(c_44310,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_44026]) ).

tcf(c_44348,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_44284,c_101]) ).

tcf(c_44350,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv2(skf3(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_44284,c_102]) ).

tcf(c_44380,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv3(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_44310,c_102,c_101,c_1024,c_1028,c_4728,c_4852,c_5842,c_10597,c_12964,c_13025,c_15135,c_15886,c_16683,c_20164,c_21311,c_25321,c_25478,c_36116,c_44310]) ).

tcf(c_44381,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(renaming,[status(thm)],[c_44380]) ).

tcf(c_44583,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_44283,c_101]) ).

tcf(c_44910,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv3(skf3(skf3(skf2(X0)))) ),
    inference(superposition,[status(thm)],[c_101,c_44025]) ).

tcf(c_44922,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ~ ssPv3(skf3(skf3(skf2(X0))))
      | ~ ssPv4(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_44910,c_4232,c_4252,c_4728,c_4852,c_10597,c_10747,c_12964,c_37539,c_44381]) ).

tcf(c_44923,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv3(skf3(skf3(skf2(X0)))) ),
    inference(renaming,[status(thm)],[c_44922]) ).

tcf(c_44931,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_21055,c_44923]) ).

tcf(c_44932,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_4531,c_44923]) ).

tcf(c_45140,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv2(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_36719,c_101,c_1024,c_3825,c_4976,c_15242,c_15388,c_19890,c_20223,c_31577,c_43497]) ).

tcf(c_45150,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_45140]) ).

tcf(c_45193,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ssPv4(skf2(skf3(skf3(X0))))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(X0)),skf2(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_28242]) ).

tcf(c_45219,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_28282]) ).

tcf(c_45373,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(skf3(skf3(X0))))
      | ssPv1(skf2(skf2(skf3(skf3(X0)))))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(X0)),skf2(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf2(skf3(skf3(X0))),skf2(skf2(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_30732]) ).

tcf(c_45412,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssPv3(skf3(skf3(skf2(skf2(X0)))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0))))
      | ~ ssRr(skf3(skf2(skf2(X0))),skf2(skf2(X0)))
      | ~ ssRr(skf3(skf3(skf2(skf2(X0)))),skf3(skf2(skf2(X0)))) ),
    inference(instantiation,[status(thm)],[c_31010]) ).

tcf(c_46396,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv1(skf2(skf2(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(X0)),skf2(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf2(skf3(skf3(X0))),skf2(skf2(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_28409]) ).

tcf(c_46414,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf2(X1))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X1))
      | ~ ssPv3(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_32015,c_101]) ).

tcf(c_46416,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf2(skf2(X1)))
      | ~ ssPv3(X1)
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(skf2(X1)))
      | ~ ssRr(X0,skf2(X1)) ),
    inference(resolution,[status(thm)],[c_32015,c_102]) ).

tcf(c_46486,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(X1)
      | ssPv2(skf3(skf3(X1)))
      | ssPv4(skf3(skf3(X1)))
      | ~ ssRr(X0,skf3(skf3(skf3(X1)))) ),
    inference(resolution,[status(thm)],[c_3084,c_101]) ).

tcf(c_46576,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ssPv4(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv2(skf3(skf3(skf3(skf3(skf3(skf3(X0)))))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(skf3(X0)))))),skf3(skf3(skf3(skf3(skf3(X0)))))) ),
    inference(instantiation,[status(thm)],[c_33633]) ).

tcf(c_46696,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ~ ssPv3(X0)
      | ssPv4(skf2(skf2(X0)))
      | ssPv3(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_9276,c_102,c_1028,c_1166,c_3091,c_3837,c_8540,c_9246,c_9275,c_9375,c_14591,c_22509,c_23454,c_24902,c_33218,c_45412]) ).

tcf(c_46697,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(renaming,[status(thm)],[c_46696]) ).

tcf(c_46703,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_6690,c_4251,c_6271,c_6690,c_25747,c_27533]) ).

tcf(c_46825,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_9275,c_10747]) ).

tcf(c_47123,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(X0)
      | ssPv1(skf3(skf3(X1)))
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1126]) ).

tcf(c_47215,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_46825,c_1349]) ).

tcf(c_47231,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_4530,c_46703]) ).

tcf(c_47233,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_47215,c_20876]) ).

tcf(c_47240,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(superposition,[status(thm)],[c_4327,c_47233]) ).

tcf(c_47242,plain,
    ! [X0: $i] :
      ( ~ ssPv3(X0)
      | ssPv1(skf3(skf2(X0)))
      | ssPv3(skf2(skf2(X0)))
      | ssPv3(skf2(X0))
      | ssPv2(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_47240,c_102,c_1028,c_1129,c_1349,c_4729,c_9069,c_14450,c_16658,c_19278,c_20876,c_20884,c_21254,c_36587]) ).

tcf(c_47243,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(renaming,[status(thm)],[c_47242]) ).

tcf(c_47261,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_7128]) ).

tcf(c_47294,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_101,c_47123]) ).

tcf(c_47353,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_46825,c_1350]) ).

tcf(c_47369,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_3825]) ).

tcf(c_47370,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_102,c_3825]) ).

tcf(c_47431,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_47353,c_20971]) ).

tcf(c_47439,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(superposition,[status(thm)],[c_4327,c_47431]) ).

tcf(c_47441,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ssPv3(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_47439,c_1350,c_4327,c_18211,c_18767]) ).

tcf(c_47442,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ssPv2(skf3(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(renaming,[status(thm)],[c_47441]) ).

tcf(c_47517,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_4467]) ).

tcf(c_47535,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_4932]) ).

tcf(c_47601,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1185]) ).

tcf(c_47607,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf2(skf3(X0))))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_47601]) ).

tcf(c_47608,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_102,c_47601]) ).

tcf(c_47655,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(skf2(X1)))
      | ~ ssPv3(X1)
      | ~ ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1403]) ).

tcf(c_47662,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(X0))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_5778]) ).

tcf(c_47669,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv2(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1205]) ).

tcf(c_47675,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_47655]) ).

tcf(c_47683,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_47675,c_47233]) ).

tcf(c_47696,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv1(X1)
      | ssPv2(skf2(X0))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_47662,c_4956]) ).

tcf(c_47704,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_47669]) ).

tcf(c_47749,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv1(X1)
      | ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1107]) ).

tcf(c_47756,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_47749]) ).

tcf(c_47757,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_47683,c_1028,c_1129,c_5537,c_5640,c_7674,c_8418,c_12964,c_15897,c_16658,c_20876,c_21254,c_22812,c_31472,c_47243]) ).

tcf(c_47766,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv1(skf2(X0))
      | ssPv1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_47696,c_102,c_1028,c_1166,c_1349,c_3091,c_3837,c_7119,c_8540,c_9375,c_10747,c_11214,c_12964,c_13524,c_13834,c_15226,c_22890,c_23454,c_31639,c_46697]) ).

tcf(c_47767,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_47766]) ).

tcf(c_47773,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_47767]) ).

tcf(c_47782,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv3(X1)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1240]) ).

tcf(c_47801,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_46825,c_47756]) ).

tcf(c_47818,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_47782]) ).

tcf(c_47840,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(X0)
      | ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1127]) ).

tcf(c_47846,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_47840]) ).

tcf(c_47847,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_47840]) ).

tcf(c_47854,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_46825,c_47846]) ).

tcf(c_47887,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf2(X1))
      | ssPv3(skf2(X1))
      | ~ ssPv2(X1)
      | ~ ssPv2(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1290]) ).

tcf(c_47888,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_47801,c_102,c_1028,c_1166,c_1561,c_2184,c_3091,c_4573,c_4853,c_5537,c_7610,c_9375,c_9688,c_10579,c_15050,c_15077,c_17011,c_17383,c_17426,c_17847,c_17906,c_18767,c_19189,c_19347,c_19359,c_20148,c_20971,c_21945,c_22583,c_23089,c_24900,c_24952,c_28562,c_34137,c_35496]) ).

tcf(c_47898,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_47854,c_21953,c_47757]) ).

tcf(c_47901,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_47898,c_15135,c_17383,c_21774,c_22264,c_24900,c_29604,c_31715,c_37264,c_47898]) ).

tcf(c_47915,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv2(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_47887]) ).

tcf(c_47916,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_47887]) ).

tcf(c_47938,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv4(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1365]) ).

tcf(c_47945,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_47938]) ).

tcf(c_48010,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ssPv4(X1)
      | ssPv1(X2)
      | ssPv3(skf2(skf2(X1)))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1413]) ).

tcf(c_48018,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv3(X2)
      | ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1440]) ).

tcf(c_48025,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_1402]) ).

tcf(c_48033,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1451]) ).

tcf(c_48040,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(X0)
      | ssPv3(skf3(X1))
      | ssPv3(skf2(skf2(X1)))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_48010]) ).

tcf(c_48047,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(X0))
      | ssPv3(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_48040]) ).

tcf(c_48072,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv2(skf3(X0))
      | ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_48018]) ).

tcf(c_48073,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(X1)
      | ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_48018]) ).

tcf(c_48079,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv3(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_48073]) ).

tcf(c_48092,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_102,c_48072]) ).

tcf(c_48098,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X1))
      | ssPv3(skf2(X1))
      | ssPv3(skf3(X1))
      | ssPv4(skf3(X1))
      | ~ ssPv2(X0)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_48092,c_3886]) ).

tcf(c_48111,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv1(X1)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_1303,c_48025]) ).

tcf(c_48114,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssPv1(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1)
      | ssPv1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_48111,c_101,c_1024,c_1133,c_1303,c_1476,c_1673,c_6873,c_7119,c_8266,c_22202,c_24600,c_25319,c_29683,c_35434]) ).

tcf(c_48115,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_48114]) ).

tcf(c_48121,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_48115]) ).

tcf(c_48122,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_48115]) ).

tcf(c_48137,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf3(X0))
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_48098]) ).

tcf(c_48145,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv4(X0)
      | ssPv1(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X2)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_1461]) ).

tcf(c_48176,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv4(skf3(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_47370,c_48137]) ).

tcf(c_48187,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_48033]) ).

tcf(c_48188,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X1)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_48033]) ).

tcf(c_48194,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_48188]) ).

tcf(c_48201,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_47261,c_48194]) ).

tcf(c_48211,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_48187]) ).

tcf(c_48216,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv1(skf2(skf3(skf3(X0))))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_48211,c_48122]) ).

tcf(c_48250,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_4948]) ).

tcf(c_48280,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_48201,c_101,c_1024,c_1133,c_1303,c_1476,c_1673,c_4531,c_6873,c_7672,c_24600,c_25272,c_29683,c_35434]) ).

tcf(c_48308,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv4(skf3(X0))
      | ~ ssPv4(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_48176,c_4530,c_10747,c_13594,c_19278,c_25019,c_25746,c_36587,c_43140,c_48121]) ).

tcf(c_48311,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ~ ssPv4(X0)
      | ssPv4(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_48308,c_101,c_1024,c_1476,c_4530,c_4728,c_5631,c_7085,c_7109,c_11703,c_25017,c_36587,c_43105,c_48308]) ).

tcf(c_48312,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf3(X0))
      | ~ ssPv4(X0) ),
    inference(renaming,[status(thm)],[c_48311]) ).

tcf(c_48393,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv1(X2)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1504]) ).

tcf(c_48400,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(X1))
      | ssPv4(skf2(skf2(skf3(X1))))
      | ~ ssPv1(X1)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_48393]) ).

tcf(c_48401,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_48393]) ).

tcf(c_48407,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_48401]) ).

tcf(c_48408,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv4(skf2(skf2(skf2(X0))))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_48401]) ).

tcf(c_48418,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv3(X0)
      | ssPv2(skf2(X1))
      | ssPv3(skf2(X1))
      | ssPv1(skf3(X1))
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_48407,c_4940]) ).

tcf(c_48419,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ssPv1(skf3(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_48407,c_1350]) ).

tcf(c_48436,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ssPv4(skf2(skf2(skf3(X0))))
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_101,c_48400]) ).

tcf(c_48448,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ~ ssPv1(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_48419,c_1350,c_18767,c_33434]) ).

tcf(c_48449,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(renaming,[status(thm)],[c_48448]) ).

tcf(c_48460,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssPv3(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_4328,c_48449]) ).

tcf(c_48463,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv1(skf2(X1))
      | ssPv1(skf3(X1))
      | ssPv3(skf2(X1))
      | ssPv2(skf2(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_48418,c_1050,c_8151,c_22522,c_38399,c_39632]) ).

tcf(c_48464,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv2(skf2(X1))
      | ssPv3(skf2(X1))
      | ssPv1(skf3(X1))
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_48463]) ).

tcf(c_48472,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_48464]) ).

tcf(c_48506,plain,
    ! [X0: $i] :
      ( ~ ssPv1(skf2(X0))
      | ssPv1(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv2(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_48472,c_1349,c_8418,c_14450,c_19278,c_48472]) ).

tcf(c_48507,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(renaming,[status(thm)],[c_48506]) ).

tcf(c_48572,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_6683]) ).

tcf(c_48579,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_48572]) ).

tcf(c_48597,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_47818,c_48579]) ).

tcf(c_48616,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_48597,c_27372]) ).

tcf(c_48629,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv1(X1)
      | ssPv2(skf3(X0))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_48616,c_48025]) ).

tcf(c_48717,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_6960]) ).

tcf(c_48724,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_48717]) ).

tcf(c_48725,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_48717]) ).

tcf(c_48750,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_48079,c_48724]) ).

tcf(c_48765,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_48750,c_4853,c_5842,c_18767,c_25272,c_31639,c_37505]) ).

tcf(c_48768,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_48765,c_102,c_101,c_1024,c_1349,c_3969,c_4853,c_8538,c_11705,c_18767,c_19870,c_20146,c_30010,c_47442,c_48121,c_48765]) ).

tcf(c_48788,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssRr(X0,X1)
      | ~ ssPv1(skf3(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv3(skf2(X0))
      | ssPv2(skf3(X0))
      | ssPv1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_48629,c_5842,c_10913,c_22202,c_36121,c_48115]) ).

tcf(c_48789,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv2(skf3(X0))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_48788]) ).

tcf(c_48798,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv1(skf2(X0))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_48789]) ).

tcf(c_48883,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv1(X1)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_9122]) ).

tcf(c_48889,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_48883]) ).

tcf(c_48890,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(skf2(skf2(X0))))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_48883]) ).

tcf(c_48901,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_48889,c_48194]) ).

tcf(c_48902,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_48889,c_47945]) ).

tcf(c_48918,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ssPv1(skf3(skf3(skf2(X0))))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_48890,c_48194]) ).

tcf(c_48958,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_48901,c_7633,c_8538,c_15885,c_16183,c_19252,c_22509,c_24826,c_27537,c_37264,c_48280]) ).

tcf(c_48966,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf2(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_48958,c_48122]) ).

tcf(c_48973,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_48958,c_48121]) ).

tcf(c_48989,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv3(X0)
      | ssPv4(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_48902,c_22911]) ).

tcf(c_48990,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(renaming,[status(thm)],[c_48989]) ).

tcf(c_49080,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_9412]) ).

tcf(c_49088,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_49080]) ).

tcf(c_49134,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_48918,c_102,c_101,c_1024,c_1028,c_4728,c_5842,c_10597,c_12964,c_15886,c_16683,c_20164,c_21311,c_48507]) ).

tcf(c_49176,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv3(X1)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_9440]) ).

tcf(c_49183,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf2(skf2(skf2(X0))))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_49176]) ).

tcf(c_49223,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv1(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_9956]) ).

tcf(c_49230,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_49223]) ).

tcf(c_49237,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_49230]) ).

tcf(c_49246,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_49237,c_47847]) ).

tcf(c_49270,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_49246,c_9545,c_15135,c_17383,c_20971,c_21774,c_22264,c_24900,c_29604,c_31715,c_37264,c_37426,c_44931,c_47898,c_48449]) ).

tcf(c_49401,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv3(X0)
      | ssPv4(skf3(X1))
      | ssPv1(skf3(skf3(X1)))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_1412]) ).

tcf(c_49408,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv4(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_49401]) ).

tcf(c_49415,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_49408]) ).

tcf(c_49420,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv4(X1)
      | ssPv3(skf2(X1))
      | ssPv4(skf3(X1))
      | ssPv1(skf3(skf3(X1)))
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_49415,c_3895]) ).

tcf(c_49496,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1525]) ).

tcf(c_49504,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_49496]) ).

tcf(c_49510,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_49504]) ).

tcf(c_49515,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf3(skf3(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_49237,c_49510]) ).

tcf(c_49519,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_47704,c_49510]) ).

tcf(c_49520,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_47608,c_49510]) ).

tcf(c_49524,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ssPv4(skf3(skf3(skf2(X0))))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_48408,c_49510]) ).

tcf(c_49531,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_48436,c_49510]) ).

tcf(c_49532,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(X0))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_47607,c_49510]) ).

tcf(c_49564,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv4(X0)
      | ssPv4(skf3(skf3(X0)))
      | ssPv2(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_49520,c_24826,c_24839,c_25019,c_43105]) ).

tcf(c_49565,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf2(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(renaming,[status(thm)],[c_49564]) ).

tcf(c_49581,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ssPv4(skf3(skf3(skf3(X0)))) ),
    inference(global_subsumption_just,[status(thm)],[c_49532,c_5537,c_24900,c_24952,c_28562]) ).

tcf(c_49582,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(skf3(X0))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv4(skf3(X0)) ),
    inference(renaming,[status(thm)],[c_49581]) ).

tcf(c_49599,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_49515,c_102,c_101,c_1028,c_4206,c_5372,c_22264,c_24832,c_25478,c_33434,c_36122,c_48121,c_49565]) ).

tcf(c_49602,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv4(X0)
      | ssPv4(skf3(skf3(X0)))
      | ssPv3(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_49599,c_24826,c_25019,c_43105,c_49599]) ).

tcf(c_49603,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(renaming,[status(thm)],[c_49602]) ).

tcf(c_49668,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1589]) ).

tcf(c_49676,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(skf3(skf3(X1)))
      | ~ ssPv3(X0)
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_49668]) ).

tcf(c_49682,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_49676]) ).

tcf(c_49693,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_49682,c_48250]) ).

tcf(c_49694,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ssPv4(X2)
      | ssPv1(X2)
      | ~ ssPv3(skf3(X2))
      | ~ ssPv4(skf2(X2))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_49682,c_48145]) ).

tcf(c_49696,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv1(X1)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_49682,c_48025]) ).

tcf(c_49768,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_49519,c_4206,c_7610,c_24826,c_25019,c_43105,c_49599]) ).

tcf(c_49780,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_49768,c_1547]) ).

tcf(c_49812,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_49696]) ).

tcf(c_49820,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0)
      | ssPv1(skf2(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_48958,c_49812]) ).

tcf(c_49911,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_2257]) ).

tcf(c_49918,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(skf3(skf3(X1))))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf3(X1))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_49911]) ).

tcf(c_49973,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_49918]) ).

tcf(c_49980,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_49973,c_48122]) ).

tcf(c_50053,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_101,c_49420]) ).

tcf(c_50055,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_49693,c_6570,c_7672,c_25272]) ).

tcf(c_50056,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(renaming,[status(thm)],[c_50055]) ).

tcf(c_50073,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_50053,c_101,c_1024,c_3464,c_4728,c_4750,c_7052,c_7697,c_7964,c_9637,c_19277,c_19297,c_23957,c_25809,c_26980,c_43514]) ).

tcf(c_50091,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_50073,c_48121]) ).

tcf(c_50161,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(X0)
      | ~ ssPv2(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_2662]) ).

tcf(c_50228,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_2978]) ).

tcf(c_50263,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_3008]) ).

tcf(c_50271,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X1))
      | ssPv4(skf3(skf3(X1)))
      | ~ ssPv2(X1)
      | ~ ssPv3(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_50263]) ).

tcf(c_50274,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_49524,c_4728,c_10597,c_24262,c_37539,c_44381,c_44932]) ).

tcf(c_50313,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_50271]) ).

tcf(c_50320,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_50313,c_48579]) ).

tcf(c_50363,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_7904]) ).

tcf(c_50370,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf2(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_50363]) ).

tcf(c_50371,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_50363]) ).

tcf(c_50385,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_47294,c_50371]) ).

tcf(c_50474,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv2(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_50320,c_8538,c_29604,c_37264]) ).

tcf(c_50475,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(X0)) ),
    inference(renaming,[status(thm)],[c_50474]) ).

tcf(c_50499,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_49531,c_101,c_1024,c_1476,c_1673,c_4750,c_4852,c_5831,c_7672,c_21691,c_23957,c_25272,c_25809,c_26426,c_29683,c_43274,c_47231,c_48973,c_49582]) ).

tcf(c_50556,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv4(skf2(X1))
      | ssPv1(skf2(X1))
      | ~ ssPv1(X0)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1462]) ).

tcf(c_50563,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X1))
      | ssPv1(skf2(X1))
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_50556]) ).

tcf(c_50564,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(skf2(X1)))
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv1(X1)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_50556]) ).

tcf(c_50570,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_50563]) ).

tcf(c_50571,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(skf3(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_50563]) ).

tcf(c_50577,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ssPv3(skf3(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_47517,c_50570]) ).

tcf(c_50586,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ssPv4(skf2(skf3(X0)))
      | ssPv1(skf2(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_47294,c_50570]) ).

tcf(c_50611,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_47517,c_50571]) ).

tcf(c_50621,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_101,c_50564]) ).

tcf(c_50622,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_102,c_50564]) ).

tcf(c_50634,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf3(skf3(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_50622,c_49510]) ).

tcf(c_50644,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_50621,c_50475]) ).

tcf(c_50661,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_50634,c_24826,c_31720,c_43105]) ).

tcf(c_50662,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(renaming,[status(thm)],[c_50661]) ).

tcf(c_50675,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_50662,c_1547]) ).

tcf(c_50696,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv4(X0)
      | ssPv4(skf2(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_50586,c_4206,c_28623,c_30942,c_46703]) ).

tcf(c_50697,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(renaming,[status(thm)],[c_50696]) ).

tcf(c_50737,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ~ ssPv2(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(superposition,[status(thm)],[c_102,c_1473]) ).

tcf(c_50744,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X1))
      | ssPv1(skf2(X1))
      | ssPv4(skf2(skf2(skf2(X1))))
      | ~ ssPv2(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_50737]) ).

tcf(c_50750,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv4(skf2(skf2(skf2(X0))))
      | ~ ssPv2(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_50744]) ).

tcf(c_50792,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_1503]) ).

tcf(c_50799,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_50792]) ).

tcf(c_50807,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_102,c_50799]) ).

tcf(c_50823,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_50807,c_48250]) ).

tcf(c_50944,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_6645]) ).

tcf(c_50951,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_50944]) ).

tcf(c_50962,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_47818,c_50951]) ).

tcf(c_51015,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_6930]) ).

tcf(c_51032,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_50611,c_102,c_1028,c_9375,c_25019]) ).

tcf(c_51033,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0))) ),
    inference(renaming,[status(thm)],[c_51032]) ).

tcf(c_51062,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_51015]) ).

tcf(c_51063,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_51015]) ).

tcf(c_51071,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_49088,c_51062]) ).

tcf(c_51074,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_47535,c_51062]) ).

tcf(c_51080,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(X0))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_47369,c_51062]) ).

tcf(c_51094,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv1(skf2(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_47535,c_51063]) ).

tcf(c_51138,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv1(X2)
      | ssPv4(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_9955]) ).

tcf(c_51146,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv1(X1)
      | ssPv4(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_51138]) ).

tcf(c_51153,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf3(X0))
      | ssPv4(skf2(skf3(X0)))
      | ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_51146]) ).

tcf(c_51154,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_51146]) ).

tcf(c_51161,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_51154,c_47846]) ).

tcf(c_51176,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf2(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_51153,c_48725]) ).

tcf(c_51220,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_51161,c_4852,c_8538,c_14450,c_19278,c_20146,c_21692,c_30010,c_37264,c_49134,c_50073]) ).

tcf(c_51316,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv3(skf2(X0))
      | ~ ssPv4(X1)
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(superposition,[status(thm)],[c_102,c_1526]) ).

tcf(c_51323,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv3(skf2(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X1,X0)
      | ~ ssPv4(skf2(skf2(skf2(X0)))) ),
    inference(superposition,[status(thm)],[c_102,c_51316]) ).

tcf(c_51331,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(X1))
      | ssPv1(skf2(skf2(skf2(X1))))
      | ~ ssPv4(skf2(X1))
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_50622,c_51323]) ).

tcf(c_51337,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(X1))
      | ssPv1(skf2(X1))
      | ssPv2(skf2(skf2(X1)))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_47608,c_51323]) ).

tcf(c_51354,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv4(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssRr(X2,X1)
      | ~ ssPv4(skf2(skf2(X1)))
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_1590]) ).

tcf(c_51362,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv4(skf2(X0))
      | ~ ssPv3(X0)
      | ~ ssRr(X1,X0)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_51354]) ).

tcf(c_51371,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(X0)
      | ssPv3(skf2(X1))
      | ssPv4(skf2(X1))
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_49237,c_51362]) ).

tcf(c_51373,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X1))
      | ssPv4(skf2(X1))
      | ~ ssPv3(X1)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_48990,c_51362]) ).

tcf(c_51374,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv1(X0)
      | ssPv4(skf2(X1))
      | ssPv1(skf3(X1))
      | ~ ssPv3(X1)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_48407,c_51362]) ).

tcf(c_51376,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(X0)
      | ssPv2(skf2(X1))
      | ssPv4(skf2(X1))
      | ~ ssPv3(X1)
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_47608,c_51362]) ).

tcf(c_51377,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X1))
      | ssPv4(skf2(X1))
      | ~ ssPv3(X1)
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_46825,c_51362]) ).

tcf(c_51473,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_51080,c_48121]) ).

tcf(c_51485,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf3(X0))
      | ~ ssPv2(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_51176,c_14590,c_37263]) ).

tcf(c_51486,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(renaming,[status(thm)],[c_51485]) ).

tcf(c_51495,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_49088,c_51486]) ).

tcf(c_51502,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_48092,c_51486]) ).

tcf(c_51504,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_47369,c_51486]) ).

tcf(c_51518,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X1))
      | ~ ssPv3(X2)
      | ~ ssRr(X2,X1)
      | ~ ssPv3(skf2(skf2(X1)))
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_1611]) ).

tcf(c_51526,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X0))
      | ~ ssPv3(X1)
      | ~ ssRr(X1,X0)
      | ~ ssPv3(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_51518]) ).

tcf(c_51540,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(X1)
      | ssPv3(skf2(X1))
      | ssPv4(skf2(X1))
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv3(X0)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_10215,c_51526]) ).

tcf(c_51550,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv4(X1)
      | ssPv3(skf3(X1))
      | ssPv4(skf2(X1))
      | ssPv1(skf3(X1))
      | ~ ssPv3(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_48047,c_51526]) ).

tcf(c_51666,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv2(skf2(X1))
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_2673]) ).

tcf(c_51673,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X1))
      | ~ ssPv1(skf2(X1))
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_51666]) ).

tcf(c_51681,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(skf3(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_51673]) ).

tcf(c_51795,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_7859]) ).

tcf(c_51802,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_51795]) ).

tcf(c_51803,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_51795]) ).

tcf(c_51813,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_47818,c_51802]) ).

tcf(c_51830,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv4(skf2(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_49768,c_51803]) ).

tcf(c_51880,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(skf2(X1))
      | ~ ssPv2(X0)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X1)
      | ~ ssPv4(skf2(skf2(X1)))
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_3068]) ).

tcf(c_51883,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv4(X0)
      | ssPv1(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_51071,c_1028,c_1129,c_1303,c_1561,c_4108,c_4251,c_4573,c_11525,c_20148,c_22264,c_22655,c_24900,c_26535,c_28562,c_35934,c_36122,c_36116,c_44350]) ).

tcf(c_51884,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(X0)) ),
    inference(renaming,[status(thm)],[c_51883]) ).

tcf(c_51903,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_51884,c_48121]) ).

tcf(c_52093,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_51074,c_101,c_1024,c_1272,c_1476,c_4530,c_10856,c_11703,c_13594,c_25746,c_27479,c_27544,c_36096,c_36121,c_47231]) ).

tcf(c_52207,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv1(skf3(skf3(skf3(skf3(skf3(X0))))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0))))) ),
    inference(instantiation,[status(thm)],[c_29962]) ).

tcf(c_53701,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_46414,c_101]) ).

tcf(c_53783,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_53701,c_8418]) ).

tcf(c_53837,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(skf2(skf2(X0)))))
      | ssPv1(skf2(skf2(skf2(skf2(X0)))))
      | ~ ssPv1(skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0))))
      | ~ ssRr(skf2(skf2(skf2(X0))),skf2(skf2(skf2(skf2(X0))))) ),
    inference(instantiation,[status(thm)],[c_30858]) ).

tcf(c_53929,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X1)
      | ~ ssRr(X1,X0)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_51880]) ).

tcf(c_54058,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv4(skf2(X1))
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv2(X1)
      | ~ ssPv4(X0)
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_50622,c_53929]) ).

tcf(c_54064,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv2(skf2(X1))
      | ssPv4(skf2(X1))
      | ~ ssPv2(X1)
      | ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_47608,c_53929]) ).

tcf(c_54138,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(X1))))
      | ~ ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(X1))),skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_30671]) ).

tcf(c_54322,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(skf3(X0))))) ),
    inference(resolution,[status(thm)],[c_46486,c_101]) ).

tcf(c_54569,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_46416,c_102]) ).

tcf(c_54577,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),X1)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_33709]) ).

tcf(c_54605,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf3(skf3(skf3(X0))))
      | ssPv2(skf3(skf3(skf3(skf3(skf3(X0))))))
      | ssPv3(skf3(skf3(skf3(skf3(skf3(X0))))))
      | ~ ssPv3(X1)
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0))))) ),
    inference(instantiation,[status(thm)],[c_33754]) ).

tcf(c_54688,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(skf2(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_54569,c_8420]) ).

tcf(c_54998,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(skf2(skf2(X0))))) ),
    inference(resolution,[status(thm)],[c_31250,c_102]) ).

tcf(c_55011,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ssPv2(skf2(skf2(skf2(X0))))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_54998,c_13406]) ).

tcf(c_55014,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(skf2(skf2(X0)))))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_54998,c_25019]) ).

tcf(c_55015,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(skf2(skf2(X0)))))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(skf3(skf2(skf2(skf2(X0))))) ),
    inference(resolution,[status(thm)],[c_54998,c_25017]) ).

tcf(c_55017,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(skf2(skf2(X0))))) ),
    inference(resolution,[status(thm)],[c_54998,c_43105]) ).

tcf(c_56440,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(skf2(X1))
      | ~ ssPv3(X2)
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_3106]) ).

tcf(c_56458,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(skf3(skf2(skf2(X0))))
      | ~ ssPv4(skf2(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_33344,c_102]) ).

tcf(c_56471,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X1))
      | ~ ssPv4(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_56440]) ).

tcf(c_56517,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(skf3(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_56458,c_7674]) ).

tcf(c_56520,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_56458,c_7764]) ).

tcf(c_56535,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_56471]) ).

tcf(c_57666,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_51373]) ).

tcf(c_57667,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_51373]) ).

tcf(c_57672,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_38586]) ).

tcf(c_57933,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv3(X0)
      | ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_57666,c_1349,c_4852,c_7830,c_40444,c_57666]) ).

tcf(c_57934,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(renaming,[status(thm)],[c_57933]) ).

tcf(c_58173,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_57667,c_102,c_1028,c_8538,c_8540,c_8594,c_9375,c_14450,c_19278,c_20146,c_21692,c_28562,c_30010,c_33434,c_37264,c_44931,c_49134,c_49270,c_50073,c_50091,c_57667]) ).

tcf(c_58182,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_47916,c_58173]) ).

tcf(c_58273,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X0)
      | ssPv1(X3)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(X2)
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(superposition,[status(thm)],[c_101,c_3380]) ).

tcf(c_58337,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv4(skf2(X0))
      | ssPv4(skf3(X0))
      | ~ ssPv2(X2)
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf3(X0),X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_3381]) ).

tcf(c_59171,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_51377]) ).

tcf(c_59173,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv4(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ssPv3(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_51495,c_4750,c_6217,c_6281,c_6873,c_22085,c_34641,c_37558,c_50499]) ).

tcf(c_59174,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0)) ),
    inference(renaming,[status(thm)],[c_59173]) ).

tcf(c_59176,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv4(skf3(X0))
      | ssPv1(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_59174,c_102,c_101,c_1028,c_1129,c_1303,c_1561,c_4108,c_4251,c_4573,c_8538,c_11525,c_11946,c_18439,c_18768,c_20148,c_22264,c_22655,c_24900,c_25272,c_26535,c_26927,c_28562,c_29604,c_35934,c_36122,c_36116,c_37264,c_44350,c_48966,c_56458,c_59174]) ).

tcf(c_59177,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0)) ),
    inference(renaming,[status(thm)],[c_59176]) ).

tcf(c_59720,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(skf3(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_59171,c_102,c_1028,c_9375,c_9545,c_58173,c_59171]) ).

tcf(c_59911,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv2(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X1,X0)
      | ~ ssPv1(skf3(skf3(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_28069,c_101]) ).

tcf(c_60047,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(X1)
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(resolution,[status(thm)],[c_28222,c_102]) ).

tcf(c_60156,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_41772]) ).

tcf(c_60162,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ssPv1(skf2(skf3(skf3(X0))))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(X0)),skf2(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_41772]) ).

tcf(c_61077,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ssPv1(skf2(skf2(skf3(skf3(X0)))))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(skf3(X0),skf2(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(X0)),skf2(skf3(skf3(X0))))
      | ~ ssRr(skf2(skf3(skf3(X0))),skf2(skf2(skf3(skf3(X0))))) ),
    inference(instantiation,[status(thm)],[c_38011]) ).

tcf(c_61405,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv4(skf2(X0))
      | ssPv4(skf3(X0))
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_58337]) ).

tcf(c_61456,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv4(skf2(X0))
      | ssPv4(skf3(X0))
      | ~ ssPv2(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_61405]) ).

tcf(c_61580,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv4(skf2(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_61456]) ).

tcf(c_61726,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv2(skf3(skf2(X0)))
      | ~ ssPv3(skf3(skf2(X0)))
      | ~ ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf3(skf2(X0)),skf2(X0))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0)))) ),
    inference(instantiation,[status(thm)],[c_35315]) ).

tcf(c_61795,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf2(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_60047,c_102]) ).

tcf(c_61805,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(skf2(X0))))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_61795,c_15928]) ).

tcf(c_61812,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(skf2(X0))))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf3(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_61795,c_25017]) ).

tcf(c_61814,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf2(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_61795,c_43105]) ).

tcf(c_62087,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_50962,c_1303,c_3464,c_7672,c_24600,c_25272,c_27372,c_59177]) ).

tcf(c_62090,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_62087,c_102,c_101,c_1024,c_1028,c_1129,c_1166,c_3464,c_4108,c_4728,c_8364,c_10588,c_11525,c_20148,c_20164,c_22264,c_24433,c_26278,c_26935,c_27372,c_35934,c_36119,c_48973,c_49270,c_59177,c_61726,c_62087]) ).

tcf(c_62496,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_36354,c_101]) ).

tcf(c_65042,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_36543]) ).

tcf(c_65187,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssPv4(X0)
      | ~ ssPv3(skf2(X1))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1) ),
    inference(resolution,[status(thm)],[c_30276,c_101]) ).

tcf(c_65189,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssPv4(X0)
      | ~ ssPv3(skf2(X1))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_30276,c_102]) ).

tcf(c_65203,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv4(skf3(skf3(X1)))
      | ssPv1(skf3(skf3(X1)))
      | ~ ssPv2(X0)
      | ~ ssRr(X0,skf3(skf3(skf3(X1)))) ),
    inference(resolution,[status(thm)],[c_8229,c_101]) ).

tcf(c_65232,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X0))
      | ~ ssPv1(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(skf2(skf3(X0)),X1) ),
    inference(resolution,[status(thm)],[c_25666,c_102]) ).

tcf(c_65261,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv4(X3)
      | ssPv4(X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_3421]) ).

tcf(c_65502,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssPv4(skf2(skf2(skf2(X0))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0)))) ),
    inference(instantiation,[status(thm)],[c_42816]) ).

tcf(c_65652,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X0)
      | ssPv1(X2)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(superposition,[status(thm)],[c_101,c_9470]) ).

tcf(c_65725,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv1(X1)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_65652]) ).

tcf(c_65734,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_65725]) ).

tcf(c_65828,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_65734,c_13230,c_20146,c_24218,c_26527,c_48121,c_51220,c_57934,c_65734]) ).

tcf(c_65834,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf2(X0))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_65828,c_56535]) ).

tcf(c_65836,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_65828,c_50823]) ).

tcf(c_65837,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_65828,c_50056]) ).

tcf(c_65840,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_65828,c_46703]) ).

tcf(c_66422,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv2(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_51337]) ).

tcf(c_66423,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ssPv2(skf2(skf2(skf2(X0))))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_51337]) ).

tcf(c_66833,plain,
    ! [X0: $i] :
      ( ~ ssPv4(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv3(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_65189,c_102]) ).

tcf(c_66898,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv4(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_66833,c_12108]) ).

tcf(c_66900,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(X0))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_66833,c_15879]) ).

tcf(c_66901,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv4(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_66833,c_33434]) ).

tcf(c_66982,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(skf3(X0)))
      | ssPv4(skf2(skf3(skf3(skf3(X0)))))
      | ssPv4(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf2(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_36946]) ).

tcf(c_67040,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf2(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_66422,c_1562,c_4728,c_14591,c_14775,c_36617,c_43140,c_48122,c_65837,c_66422]) ).

tcf(c_67653,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(skf3(skf3(X0))))) ),
    inference(resolution,[status(thm)],[c_65203,c_101]) ).

tcf(c_67698,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_67653,c_54322]) ).

tcf(c_67772,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv4(skf2(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf2(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_41978]) ).

tcf(c_68346,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ssPv4(skf2(skf3(skf3(skf3(X0)))))
      | ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf2(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_45193]) ).

tcf(c_68399,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv3(skf2(X1))
      | ssPv4(skf2(X2))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_30423,c_102]) ).

tcf(c_68692,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_54138]) ).

tcf(c_68742,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_54577]) ).

tcf(c_68896,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ssPv4(X2)
      | ssPv1(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(resolution,[status(thm)],[c_3398,c_101]) ).

tcf(c_68982,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv4(X1)
      | ssPv1(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_68896,c_101]) ).

tcf(c_69070,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0)))
      | ssPv2(skf2(skf2(skf2(X0)))) ),
    inference(global_subsumption_just,[status(thm)],[c_66423,c_1166,c_2184,c_53837,c_54998,c_55017,c_55011]) ).

tcf(c_69071,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv2(skf2(skf2(skf2(X0))))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(renaming,[status(thm)],[c_69070]) ).

tcf(c_69104,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_68982,c_102]) ).

tcf(c_69167,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(skf2(X0))))
      | ssPv1(skf2(skf2(skf2(skf2(X0)))))
      | ssPv1(skf3(skf2(skf2(skf2(X0)))))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_69104,c_54998]) ).

tcf(c_69388,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(X0))
      | ssPv2(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_51376]) ).

tcf(c_69477,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(X0))
      | ssPv3(skf3(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(superposition,[status(thm)],[c_102,c_51550]) ).

tcf(c_70404,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf2(skf2(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_65232,c_102]) ).

tcf(c_70427,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv2(skf2(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_70404,c_39162]) ).

tcf(c_70473,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(X0))
      | ssPv2(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_69388,c_102,c_1028,c_1562,c_4728,c_4852,c_9375,c_10597,c_14591,c_14775,c_24262,c_36617,c_37539,c_43140,c_44381,c_44932,c_48122,c_65837,c_65834,c_66422,c_66901,c_69388]) ).

tcf(c_70713,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(X0))
      | ~ ssPv3(X0)
      | ssPv4(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_69477,c_102,c_1028,c_1166,c_3091,c_3837,c_8540,c_9375,c_10747,c_13524,c_13834,c_15226,c_23454,c_46697]) ).

tcf(c_70714,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(renaming,[status(thm)],[c_70713]) ).

tcf(c_70727,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf2(X1))
      | ssPv4(skf2(X1))
      | ~ ssPv2(X1)
      | ~ ssPv3(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_70714,c_53929]) ).

tcf(c_70729,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X1))
      | ssPv4(skf2(X1))
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_70714,c_51362]) ).

tcf(c_71076,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ssPv3(X2)
      | ~ ssPv4(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X2)
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_3332]) ).

tcf(c_71104,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssPv3(X1)
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_71076]) ).

tcf(c_71234,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf2(X0))
      | ~ ssPv3(X1)
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_52093,c_71104]) ).

tcf(c_71552,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X1))
      | ssPv4(skf3(X1))
      | ssPv3(skf2(skf3(X1)))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_68399,c_101]) ).

tcf(c_71554,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv3(skf2(X1))
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_68399,c_102]) ).

tcf(c_72147,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(skf3(skf3(X0))))
      | ssPv2(skf3(skf3(skf3(skf3(skf3(X0))))))
      | ssPv3(skf3(skf3(skf3(skf3(skf3(X0))))))
      | ~ ssPv3(skf3(X0))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(skf3(skf3(X0))))),skf3(skf3(skf3(skf3(X0))))) ),
    inference(instantiation,[status(thm)],[c_54605]) ).

tcf(c_72195,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X1)
      | ssPv3(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf3(X2))
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_32610,c_101]) ).

tcf(c_72196,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(skf3(X1))
      | ssPv1(skf2(X2))
      | ~ ssPv1(X1)
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_32610,c_102]) ).

tcf(c_72274,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_71554,c_101]) ).

tcf(c_72355,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_72274,c_4976]) ).

tcf(c_72358,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_72274,c_37527]) ).

tcf(c_73057,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv3(skf2(skf3(X0)))
      | ~ ssPv2(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_71552,c_101]) ).

tcf(c_73117,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv3(skf2(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_73057,c_62496]) ).

tcf(c_73730,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X0)
      | ~ ssPv2(X2)
      | ~ ssPv3(X1)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X1)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_3714]) ).

tcf(c_73769,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv1(X3)
      | ssPv1(X2)
      | ~ ssPv2(X0)
      | ~ ssRr(X4,X0)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_3956]) ).

tcf(c_73792,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(skf3(X1)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(skf3(X1))) ),
    inference(instantiation,[status(thm)],[c_3161]) ).

tcf(c_73824,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv2(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(instantiation,[status(thm)],[c_5777]) ).

tcf(c_73836,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv2(X1)
      | ~ ssPv4(X1)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(skf3(X0)),skf3(X1)) ),
    inference(instantiation,[status(thm)],[c_1204]) ).

tcf(c_73891,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i,X5: $i] :
      ( ssPv2(X2)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(X4)
      | ~ ssPv1(X5)
      | ~ ssRr(X5,X2)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(instantiation,[status(thm)],[c_145]) ).

tcf(c_73942,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv2(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1) ),
    inference(instantiation,[status(thm)],[c_4932]) ).

tcf(c_73943,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv4(skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_4530]) ).

tcf(c_73981,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv1(skf2(X0))
      | ~ ssPv3(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(instantiation,[status(thm)],[c_7128]) ).

tcf(c_73987,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(skf2(X0),X1)
      | ~ ssPv1(skf2(skf2(skf2(X0)))) ),
    inference(instantiation,[status(thm)],[c_4956]) ).

tcf(c_74027,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv2(X2)
      | ~ ssPv3(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf2(X0),X1)
      | ~ ssPv3(skf3(skf3(skf2(X0))))
      | ~ ssRr(skf3(skf3(skf2(X0))),skf3(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_73730]) ).

tcf(c_74213,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv2(X1)
      | ~ ssRr(X1,X0)
      | ~ ssPv3(skf2(skf2(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssPv3(skf3(skf3(skf2(X0))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf3(skf3(skf2(X0))),skf3(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_74027]) ).

tcf(c_74228,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv2(X1)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(X3)
      | ~ ssPv1(X4)
      | ~ ssRr(X4,X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(X0),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_73891]) ).

tcf(c_74436,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(X1)
      | ~ ssPv3(skf3(skf3(X1)))
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(instantiation,[status(thm)],[c_3895]) ).

tcf(c_75578,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(skf2(X0))))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv3(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),skf2(skf2(skf2(X0)))) ),
    inference(instantiation,[status(thm)],[c_73981]) ).

tcf(c_75674,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv2(skf3(X1))
      | ~ ssPv4(skf3(X1))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(skf3(X1))) ),
    inference(instantiation,[status(thm)],[c_73836]) ).

tcf(c_76033,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X3)
      | ssPv1(X1)
      | ~ ssPv2(X0)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X2)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(X1,skf3(X0))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_73769]) ).

tcf(c_76460,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_75674]) ).

tcf(c_76461,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_73792]) ).

tcf(c_76891,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_76033]) ).

tcf(c_76969,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_74436]) ).

tcf(c_79252,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf2(skf2(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssPv3(skf3(skf3(skf2(X0))))
      | ~ ssRr(skf2(X0),skf2(skf2(X0)))
      | ~ ssRr(skf3(skf3(skf2(X0))),skf3(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_74213]) ).

tcf(c_79534,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X1)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(X3)
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X2,X3)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_74228]) ).

tcf(c_83251,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X1)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X2))
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X2,skf2(X2))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_79534]) ).

tcf(c_84954,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ~ ssPv2(X0)
      | ~ ssPv3(X1)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(X1,skf3(X0))
      | ~ ssRr(skf3(X0),X0) ),
    inference(instantiation,[status(thm)],[c_9096]) ).

tcf(c_84983,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(instantiation,[status(thm)],[c_9412]) ).

tcf(c_85337,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf2(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(instantiation,[status(thm)],[c_4955]) ).

tcf(c_85851,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_7859]) ).

tcf(c_86019,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_2978]) ).

tcf(c_86197,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X0)
      | ssPv4(X3)
      | ~ ssPv1(X2)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_3685]) ).

tcf(c_86335,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ~ ssPv2(X1)
      | ~ ssRr(X1,skf3(X0))
      | ~ ssPv2(skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_3886]) ).

tcf(c_87361,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_73824]) ).

tcf(c_88392,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv2(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssPv4(skf2(X0)) ),
    inference(instantiation,[status(thm)],[c_4983]) ).

tcf(c_88569,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_84954]) ).

tcf(c_89688,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X1))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X1))
      | ~ ssPv1(skf3(skf3(X1)))
      | ~ ssRr(X1,skf2(X1))
      | ~ ssRr(skf3(X1),X1)
      | ~ ssRr(skf3(X0),skf3(X1))
      | ~ ssRr(skf3(skf3(X1)),skf3(X1))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_83251]) ).

tcf(c_91770,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf2(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_85337]) ).

tcf(c_92459,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0)) ),
    inference(instantiation,[status(thm)],[c_86335]) ).

tcf(c_92536,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(X2)
      | ~ ssPv1(X3)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_3673]) ).

tcf(c_92577,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(skf3(X1))
      | ssPv2(skf3(skf3(skf3(X1))))
      | ~ ssPv3(X2)
      | ~ ssPv1(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_92536]) ).

tcf(c_92611,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(skf3(skf2(X0))))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_4531]) ).

tcf(c_92647,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv1(skf2(X0))
      | ~ ssPv4(X0)
      | ssPv1(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_51094,c_102,c_1028,c_1166,c_1303,c_1562,c_3091,c_3837,c_6919,c_7830,c_7869,c_13524,c_14591,c_22463,c_23454,c_24600,c_25019,c_43105,c_52093,c_70473,c_88392]) ).

tcf(c_92648,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(renaming,[status(thm)],[c_92647]) ).

tcf(c_92819,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_76460]) ).

tcf(c_92916,plain,
    ! [X0: $i] :
      ( ~ ssPv4(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_65187,c_101]) ).

tcf(c_92918,plain,
    ! [X0: $i] :
      ( ~ ssPv4(X0)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf2(skf2(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_65187,c_102]) ).

tcf(c_92928,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_92916,c_11920]) ).

tcf(c_92930,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(X0))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_92916,c_24600]) ).

tcf(c_93305,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_92577]) ).

tcf(c_93320,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_101,c_93305]) ).

tcf(c_93321,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_93305]) ).

tcf(c_93361,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv1(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_93321,c_51486]) ).

tcf(c_93489,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_93320,c_51486]) ).

tcf(c_93521,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv1(skf2(X1))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf2(X2))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_33244,c_102]) ).

tcf(c_93661,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv2(skf3(X2))
      | ~ ssPv3(X1)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_34727,c_101]) ).

tcf(c_93662,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X1)
      | ssPv2(skf3(X0))
      | ~ ssPv3(skf2(X2))
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_34727,c_102]) ).

tcf(c_93753,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_92918,c_33601]) ).

tcf(c_93755,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_92918,c_33599]) ).

tcf(c_94175,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X0)
      | ssPv1(X2)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(superposition,[status(thm)],[c_101,c_58273]) ).

tcf(c_94369,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),X1)
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_85851]) ).

tcf(c_94597,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv1(X1)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(skf2(skf3(skf3(X0))),X1) ),
    inference(superposition,[status(thm)],[c_102,c_94175]) ).

tcf(c_95278,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(skf3(X0)))
      | ssPv1(skf2(skf2(skf3(skf3(X0)))))
      | ~ ssPv2(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_94597]) ).

tcf(c_96037,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssPv3(X1)
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(resolution,[status(thm)],[c_34807,c_102]) ).

tcf(c_96069,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv1(skf2(X2))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_34929,c_102]) ).

tcf(c_96118,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv1(X0)
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(X2))
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_35089,c_101]) ).

tcf(c_96120,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X1)
      | ssPv4(skf2(X2))
      | ~ ssPv2(skf3(X1))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_35089,c_102]) ).

tcf(c_96144,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(X0)
      | ssPv3(skf2(X1))
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_51371,c_4468,c_70729]) ).

tcf(c_96152,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv3(X0) ),
    inference(superposition,[status(thm)],[c_101,c_96144]) ).

tcf(c_96153,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_96144]) ).

tcf(c_96192,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv3(skf3(skf3(skf3(X1))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf3(skf3(X1)))
      | ~ ssRr(X0,skf3(skf3(X1))) ),
    inference(resolution,[status(thm)],[c_72195,c_101]) ).

tcf(c_96210,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_51374]) ).

tcf(c_96249,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(X1))
      | ssPv3(skf3(skf3(X1)))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_72196,c_101]) ).

tcf(c_96251,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf3(X1))
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv1(X1)
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_72196,c_102]) ).

tcf(c_96281,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_51502,c_1349,c_19278,c_67040]) ).

tcf(c_96289,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv2(X0) ),
    inference(superposition,[status(thm)],[c_96281,c_47915]) ).

tcf(c_96373,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_96251,c_101]) ).

tcf(c_96429,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf3(skf3(X0)))
      | ssPv1(skf2(skf2(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_96373,c_17339]) ).

tcf(c_96483,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_96152,c_51220,c_96152]) ).

tcf(c_96521,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_96153,c_49270,c_96153]) ).

tcf(c_96860,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv2(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_96249,c_101]) ).

tcf(c_96911,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf2(X0))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_96860,c_17339]) ).

tcf(c_97214,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf3(X1))
      | ssPv1(skf2(skf3(X1)))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_93521,c_101]) ).

tcf(c_97346,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf3(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_96210,c_4573,c_13230,c_20146,c_22510,c_24218,c_26428,c_26527,c_47901,c_48121,c_49134,c_50274,c_51220,c_56517,c_57934,c_65734,c_96210]) ).

tcf(c_97349,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_97346,c_102,c_101,c_1024,c_1028,c_1476,c_1673,c_2998,c_4573,c_7052,c_13230,c_15114,c_15886,c_18768,c_20146,c_20164,c_22509,c_22510,c_24218,c_25272,c_25321,c_26428,c_26527,c_30010,c_41683,c_41697,c_41978,c_48121,c_51220,c_56517,c_56520,c_57934,c_59720,c_65734,c_68742,c_72147,c_76461,c_87361,c_88569,c_97346]) ).

tcf(c_97516,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv2(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_86019]) ).

tcf(c_97791,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv1(X1)
      | ssPv4(skf2(X0))
      | ~ ssPv3(X3)
      | ~ ssPv4(X2)
      | ~ ssRr(X3,X0)
      | ~ ssRr(skf2(X0),X2)
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(superposition,[status(thm)],[c_102,c_3452]) ).

tcf(c_97799,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf2(skf2(skf2(X0))))
      | ~ ssPv3(X2)
      | ~ ssPv4(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_97791]) ).

tcf(c_97816,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf2(skf2(skf2(X0))))
      | ~ ssPv3(X1)
      | ~ ssRr(X1,X0)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_97799]) ).

tcf(c_97835,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf2(skf2(skf2(X0))))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_97816]) ).

tcf(c_97994,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv1(skf2(skf3(X0)))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv2(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_97214,c_101]) ).

tcf(c_98028,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ssPv1(skf2(skf3(X0)))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_97994,c_4976]) ).

tcf(c_98039,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf2(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(skf2(X0))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_97994,c_62496]) ).

tcf(c_98275,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X0))
      | ssPv2(skf3(skf3(X1)))
      | ~ ssPv3(X1)
      | ~ ssPv1(skf3(skf3(skf3(X1))))
      | ~ ssRr(X0,skf3(skf3(X1))) ),
    inference(resolution,[status(thm)],[c_93661,c_101]) ).

tcf(c_98287,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv3(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_51813,c_7610,c_8522,c_10578,c_13230,c_20146,c_24218,c_26527,c_43497,c_48121,c_51220,c_57934,c_65734]) ).

tcf(c_98288,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(renaming,[status(thm)],[c_98287]) ).

tcf(c_98302,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_50807,c_98288]) ).

tcf(c_98304,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_50073,c_98288]) ).

tcf(c_98366,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X1))
      | ssPv2(skf3(X0))
      | ~ ssPv3(skf2(X1))
      | ~ ssPv1(skf3(skf3(X1)))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_93662,c_101]) ).

tcf(c_99068,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv2(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_54064]) ).

tcf(c_99451,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_98366,c_101]) ).

tcf(c_99500,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv4(skf3(X0))
      | ~ ssPv4(skf2(X1))
      | ~ ssPv1(skf2(X2))
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_37100,c_102]) ).

tcf(c_99506,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ssPv4(skf2(skf3(skf3(skf3(X0)))))
      | ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_7965]) ).

tcf(c_99532,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ssPv1(X1)
      | ~ ssPv2(X2)
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(resolution,[status(thm)],[c_37228,c_102]) ).

tcf(c_99602,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv1(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(resolution,[status(thm)],[c_37490,c_102]) ).

tcf(c_99780,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_99451,c_6873]) ).

tcf(c_99783,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(X0))
      | ssPv3(skf2(skf3(X0)))
      | ssPv4(skf2(skf2(skf3(X0))))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_99451,c_72274]) ).

tcf(c_99793,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_99451,c_19252]) ).

tcf(c_99855,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv2(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_99068,c_102,c_1028,c_1166,c_3091,c_3837,c_7869,c_13524,c_14591,c_22463,c_23454,c_25019,c_43105,c_70473,c_88392]) ).

tcf(c_99873,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_99855,c_1562]) ).

tcf(c_100134,plain,
    ! [X0: $i] :
      ( ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(skf2(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_96037,c_102]) ).

tcf(c_100265,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(skf2(X0))))
      | ~ ssPv1(skf2(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_100134,c_12108]) ).

tcf(c_100267,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_100134,c_15879]) ).

tcf(c_100268,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(skf2(X0)))) ),
    inference(resolution,[status(thm)],[c_100134,c_33434]) ).

tcf(c_100696,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf3(X1))
      | ssPv1(skf2(X1))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(skf3(X1)))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(resolution,[status(thm)],[c_96069,c_101]) ).

tcf(c_100698,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_96069,c_102]) ).

tcf(c_100728,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_100698,c_101]) ).

tcf(c_100768,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0)
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_100728,c_12963]) ).

tcf(c_101126,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_97516]) ).

tcf(c_101358,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv1(skf2(X0))
      | ~ ssPv4(skf2(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_100696,c_101]) ).

tcf(c_101509,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ssPv4(X2)
      | ssPv1(X2)
      | ~ ssPv4(skf2(X2))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_49694,c_65828]) ).

tcf(c_101522,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(X1)
      | ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_101509]) ).

tcf(c_101687,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(X0,skf2(X0))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf3(skf3(X0)),skf3(X0))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0))) ),
    inference(instantiation,[status(thm)],[c_89688]) ).

tcf(c_101718,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(skf3(skf3(X1)))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv2(skf3(skf3(skf3(X1))))
      | ~ ssRr(X0,skf3(skf3(X1))) ),
    inference(resolution,[status(thm)],[c_96118,c_101]) ).

tcf(c_101767,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv2(skf3(X1))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_96120,c_102]) ).

tcf(c_101841,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_101767,c_101]) ).

tcf(c_101843,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv4(skf2(skf2(skf2(X0))))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv2(skf3(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_101767,c_102]) ).

tcf(c_101886,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv4(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_50385,c_102,c_101,c_1024,c_4251,c_4750,c_21692,c_25476,c_36617,c_37425,c_43140,c_48507,c_50697,c_51220,c_65840,c_96152]) ).

tcf(c_101894,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X0))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101886,c_50371]) ).

tcf(c_101900,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101886,c_1561]) ).

tcf(c_101902,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv2(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_101886,c_51681]) ).

tcf(c_102524,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_101522]) ).

tcf(c_102525,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_101522]) ).

tcf(c_102552,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ~ ssPv4(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_102524,c_102,c_101,c_1024,c_4976,c_11705,c_15114,c_25272,c_25321,c_30010,c_36126,c_44381,c_65828,c_91770,c_98028,c_102524]) ).

tcf(c_102570,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf2(X0))
      | ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_47608,c_102552]) ).

tcf(c_102579,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv2(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_50750,c_102552]) ).

tcf(c_102580,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_49183,c_102552]) ).

tcf(c_103734,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_25629,c_5537,c_19278,c_20146,c_20223,c_28561,c_29606,c_43497,c_48121,c_99793,c_102552]) ).

tcf(c_103754,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf2(skf3(skf3(X0))))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_13662,c_103734]) ).

tcf(c_103755,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_15927,c_103734]) ).

tcf(c_103762,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ~ ssPv2(X0)
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_17426,c_103734]) ).

tcf(c_103779,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_103734,c_28600]) ).

tcf(c_104295,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv4(X1)
      | ssPv1(skf2(X0))
      | ~ ssPv2(X2)
      | ~ ssPv4(X3)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X2,skf2(X0))
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(superposition,[status(thm)],[c_102,c_3611]) ).

tcf(c_104319,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(skf2(X1))
      | ssPv4(skf2(skf2(skf2(X1))))
      | ~ ssPv2(X0)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_104295]) ).

tcf(c_104341,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(X1))
      | ssPv4(skf2(skf2(skf2(X1))))
      | ~ ssPv2(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_104319]) ).

tcf(c_104372,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv4(skf2(skf2(skf2(X0))))
      | ~ ssPv2(X0)
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_104341]) ).

tcf(c_104373,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(skf2(skf2(X0)))))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_104341]) ).

tcf(c_104426,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_50577,c_102,c_1028,c_1166,c_1349,c_3091,c_3837,c_7085,c_8418,c_9375,c_12761,c_14450,c_19278,c_23454,c_24902,c_45412,c_46697,c_48472,c_50644,c_51033,c_65502,c_96289,c_101843]) ).

tcf(c_104432,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_104426,c_102552]) ).

tcf(c_104480,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_104372,c_102552]) ).

tcf(c_104691,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(skf2(X0))))
      | ssPv3(skf2(skf2(skf2(skf2(X0)))))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_104373,c_47847]) ).

tcf(c_105080,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(skf2(X1))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(resolution,[status(thm)],[c_99500,c_101]) ).

tcf(c_105504,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_105080,c_101]) ).

tcf(c_105506,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv4(skf2(skf2(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_105080,c_102]) ).

tcf(c_105516,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_105504,c_15048]) ).

tcf(c_105520,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_105504,c_103734]) ).

tcf(c_105699,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X2)
      | ~ ssPv1(X3)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_3684]) ).

tcf(c_105708,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X1)
      | ~ ssPv1(X2)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_105699]) ).

tcf(c_105717,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv4(X0)
      | ~ ssPv1(X1)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_105708]) ).

tcf(c_105718,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(X1)
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_105708]) ).

tcf(c_105751,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_105718]) ).

tcf(c_105752,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_105718]) ).

tcf(c_105911,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(skf2(skf2(X0)))))
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_51331]) ).

tcf(c_105952,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(X0)) ),
    inference(resolution,[status(thm)],[c_105506,c_24602]) ).

tcf(c_105953,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_105506,c_43421]) ).

tcf(c_105969,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_105752,c_51803]) ).

tcf(c_105997,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf2(skf3(X0)))
      | ~ ssPv1(skf2(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_105751,c_50370]) ).

tcf(c_106170,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(skf2(skf2(skf2(X1))))
      | ~ ssPv2(X0)
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_99532,c_102]) ).

tcf(c_106182,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf2(skf2(skf2(skf2(X0)))))
      | ~ ssPv2(X0)
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_106170,c_102]) ).

tcf(c_106197,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv1(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(resolution,[status(thm)],[c_3350,c_101]) ).

tcf(c_106204,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_101,c_105717]) ).

tcf(c_106205,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv4(X0)
      | ~ ssPv1(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_105717]) ).

tcf(c_106230,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_106204,c_51802]) ).

tcf(c_106548,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf2(skf3(X0)))
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_106205,c_51802]) ).

tcf(c_106581,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf2(skf2(skf2(X0))))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_106182,c_7830]) ).

tcf(c_107035,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(skf2(skf2(X0)))))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_105911,c_102,c_1028,c_1166,c_2184,c_3091,c_3837,c_4729,c_7085,c_13524,c_15160,c_16579,c_26235,c_26646,c_48768,c_53837,c_54998,c_55017,c_55015,c_55014,c_55011,c_69071,c_69167]) ).

tcf(c_107392,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(X1))
      | ssPv4(skf2(skf2(skf2(X1))))
      | ~ ssPv2(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(resolution,[status(thm)],[c_99602,c_102]) ).

tcf(c_107440,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv4(skf2(skf2(skf2(X0))))
      | ~ ssPv2(X0)
      | ~ ssPv4(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_107392,c_101]) ).

tcf(c_107729,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf2(skf2(skf2(X0))))
      | ~ ssPv2(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(resolution,[status(thm)],[c_107440,c_35863]) ).

tcf(c_108144,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1) ),
    inference(resolution,[status(thm)],[c_106197,c_101]) ).

tcf(c_108201,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_108144,c_101]) ).

tcf(c_108209,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssRr(skf3(skf3(skf3(X0))),skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(skf3(skf3(X0)))),skf3(skf3(skf3(X0)))) ),
    inference(instantiation,[status(thm)],[c_94369]) ).

tcf(c_108225,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0)
      | ssPv3(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_108201,c_13230,c_20146,c_24218,c_26527,c_48121,c_51220,c_57934,c_65734]) ).

tcf(c_108241,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv4(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ssPv2(skf3(skf3(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_19277,c_108225]) ).

tcf(c_108248,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_7672,c_108225]) ).

tcf(c_108258,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv3(skf3(skf2(X0)))
      | ~ ssPv3(skf3(X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_7674,c_108225]) ).

tcf(c_108260,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0)
      | ssPv3(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_13003,c_108225]) ).

tcf(c_108303,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(X0) ),
    inference(resolution,[status(thm)],[c_108225,c_27403]) ).

tcf(c_108304,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv4(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf2(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_108225,c_101358]) ).

tcf(c_108307,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_108225,c_16054]) ).

tcf(c_108317,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(resolution,[status(thm)],[c_108225,c_31472]) ).

tcf(c_108482,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv3(skf2(X1))
      | ssPv4(skf2(X1))
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv3(X0)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_51540,c_70714]) ).

tcf(c_108495,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(skf3(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_108482]) ).

tcf(c_108669,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf2(X0))
      | ssPv4(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_108495,c_13230,c_20146,c_24218,c_24900,c_26527,c_28562,c_48121,c_48312,c_49603,c_51220,c_57934,c_65734,c_70714,c_96483,c_101841,c_108258,c_108495]) ).

tcf(c_108672,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_108669,c_10204,c_97349,c_101902,c_104426,c_108669]) ).

tcf(c_108678,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf2(X0))
      | ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_108672,c_102552]) ).

tcf(c_108691,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(X0)
      | ssPv3(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_108672,c_50161]) ).

tcf(c_109509,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i,X4: $i] :
      ( ssPv2(X3)
      | ssPv4(X0)
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv3(X2)
      | ~ ssRr(X4,X0)
      | ~ ssRr(X3,X4)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_3798]) ).

tcf(c_109545,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X3)
      | ssPv4(skf3(X1))
      | ssPv3(skf3(skf3(skf3(X1))))
      | ~ ssPv3(X2)
      | ~ ssRr(X3,X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_109509]) ).

tcf(c_109685,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv4(skf3(X0))
      | ~ ssPv1(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(skf2(X0)))
      | ~ ssRr(skf3(X0),X0)
      | ~ ssRr(skf2(X0),skf2(skf2(X0))) ),
    inference(instantiation,[status(thm)],[c_86197]) ).

tcf(c_109966,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(skf3(skf3(X0))))) ),
    inference(resolution,[status(thm)],[c_96192,c_101]) ).

tcf(c_109987,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv4(skf3(X0))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(resolution,[status(thm)],[c_109966,c_17339]) ).

tcf(c_109990,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf2(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_109966,c_99451]) ).

tcf(c_110196,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_98275,c_101]) ).

tcf(c_110207,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_110196,c_6873]) ).

tcf(c_110297,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv4(skf3(X1))
      | ssPv3(skf3(skf3(skf3(X1))))
      | ~ ssPv3(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,skf3(skf3(X1))) ),
    inference(superposition,[status(thm)],[c_101,c_109545]) ).

tcf(c_110305,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_110297]) ).

tcf(c_110502,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(skf2(X0))))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_54058]) ).

tcf(c_110668,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv4(skf3(skf3(skf3(skf3(X0))))) ),
    inference(resolution,[status(thm)],[c_101718,c_101]) ).

tcf(c_110705,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf3(skf3(skf3(X0)))) ),
    inference(resolution,[status(thm)],[c_110668,c_28600]) ).

tcf(c_110750,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(skf3(X0)))))
      | ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv3(X0) ),
    inference(superposition,[status(thm)],[c_101,c_110305]) ).

tcf(c_110751,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_110305]) ).

tcf(c_111098,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_110502,c_102,c_1028,c_1166,c_1349,c_3091,c_3837,c_7085,c_8418,c_9375,c_12761,c_14450,c_19278,c_23454,c_24902,c_43105,c_45412,c_46697,c_48472,c_50644,c_51033,c_65502,c_96289,c_101843,c_108672]) ).

tcf(c_111116,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ssPv3(skf2(X0))
      | ~ ssPv4(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_111098,c_50228]) ).

tcf(c_111576,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_49246,c_102,c_101,c_1024,c_4976,c_11705,c_15114,c_25272,c_25321,c_30010,c_36126,c_44381,c_49270,c_51220,c_65828,c_66833,c_91770,c_96152,c_98028,c_102524,c_108678]) ).

tcf(c_111582,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(skf2(skf2(X0)))
      | ssPv3(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_9276,c_102,c_101,c_1028,c_1166,c_1349,c_1561,c_3091,c_3837,c_3969,c_5538,c_7085,c_7271,c_7612,c_8418,c_8540,c_9375,c_10913,c_11525,c_12761,c_14450,c_15135,c_19278,c_20148,c_22655,c_23454,c_24900,c_24902,c_28562,c_43105,c_45412,c_46697,c_48122,c_48472,c_48958,c_50644,c_51033,c_65502,c_70427,c_72274,c_72358,c_79252,c_96289,c_101843,c_102570,c_104426,c_108672,c_108678]) ).

tcf(c_111583,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0))) ),
    inference(renaming,[status(thm)],[c_111582]) ).

tcf(c_111588,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv4(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_6690,c_102,c_101,c_1024,c_4251,c_4750,c_21692,c_25476,c_36617,c_37425,c_43140,c_48507,c_50697,c_51220,c_65840,c_96152]) ).

tcf(c_111593,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_9275,c_102,c_1028,c_1166,c_1349,c_3091,c_3837,c_7085,c_8418,c_8540,c_9375,c_12761,c_14450,c_19278,c_23454,c_24902,c_45412,c_46697,c_48472,c_50644,c_51033,c_65502,c_96289,c_101843]) ).

tcf(c_111750,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(X0)
      | ssPv4(skf3(skf3(X1)))
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1106]) ).

tcf(c_111904,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_7128]) ).

tcf(c_112131,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_1349,c_1349,c_4852,c_7830,c_8418,c_8538,c_14450,c_19278,c_40444,c_48472,c_50073,c_51220,c_57666,c_96152,c_101886,c_108307]) ).

tcf(c_112177,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0))
      | ssPv2(skf2(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_5538,c_102,c_101,c_1028,c_1561,c_5538,c_7271,c_10913,c_11525,c_15135,c_20148,c_22655,c_24900,c_28562,c_48122,c_79252,c_102570,c_108678]) ).

tcf(c_112178,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv2(skf2(skf3(X0)))
      | ~ ssPv4(skf3(X0)) ),
    inference(renaming,[status(thm)],[c_112177]) ).

tcf(c_112198,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ssPv4(skf3(skf3(skf2(X0))))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_111750]) ).

tcf(c_112201,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_112198,c_102,c_101,c_1024,c_1028,c_4728,c_4852,c_4976,c_5641,c_5842,c_10597,c_11705,c_12964,c_13025,c_15114,c_15135,c_15886,c_16683,c_20164,c_21311,c_24952,c_25272,c_25321,c_25478,c_30010,c_35496,c_36116,c_36126,c_44310,c_44381,c_49270,c_51220,c_61814,c_61812,c_65828,c_66833,c_91770,c_96152,c_98028,c_101126,c_102524,c_103762,c_108672,c_108678]) ).

tcf(c_112208,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_111583,c_112201]) ).

tcf(c_112270,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(skf2(X1)))
      | ~ ssPv3(X1)
      | ~ ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1403]) ).

tcf(c_112271,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_1350,c_102,c_1028,c_1350,c_4573,c_9375,c_9545,c_13230,c_20146,c_22510,c_24218,c_26428,c_26527,c_47901,c_48121,c_48449,c_49134,c_50274,c_51220,c_56517,c_57934,c_58173,c_58182,c_59171,c_65734,c_96210]) ).

tcf(c_112279,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(skf2(X0))))
      | ~ ssPv3(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_4328,c_112271]) ).

tcf(c_112284,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_111588,c_1561]) ).

tcf(c_112335,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_4383]) ).

tcf(c_112351,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(X0))
      | ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(skf2(X0)))) ),
    inference(global_subsumption_just,[status(thm)],[c_112279,c_102,c_101,c_1024,c_1028,c_4976,c_7869,c_11525,c_11705,c_12964,c_15114,c_25272,c_25321,c_30010,c_36126,c_44381,c_48460,c_48966,c_49270,c_51220,c_65828,c_66833,c_79252,c_91770,c_92611,c_96152,c_98028,c_102524,c_108678,c_111583,c_112208]) ).

tcf(c_112359,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_112284,c_102,c_101,c_1028,c_1561,c_4750,c_5372,c_5538,c_6217,c_6873,c_7271,c_10913,c_11525,c_15135,c_20148,c_22085,c_22655,c_24900,c_28562,c_34641,c_36615,c_37558,c_48122,c_50675,c_51903,c_59177,c_70427,c_79252,c_92916,c_101886,c_101900,c_102570,c_108678]) ).

tcf(c_112362,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_112359,c_102,c_101,c_1028,c_1561,c_5538,c_7271,c_10913,c_11525,c_12964,c_15135,c_20148,c_22655,c_22906,c_24900,c_28562,c_36587,c_48122,c_53783,c_59177,c_70427,c_79252,c_92916,c_101886,c_102570,c_108678,c_111098,c_112359]) ).

tcf(c_112377,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssRr(skf2(X0),X1)
      | ~ ssPv1(skf2(X0))
      | ~ ssPv3(skf2(X0))
      | ssPv2(skf2(X0))
      | ssPv1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_5778,c_3971,c_5778,c_7128,c_7650,c_12773,c_16579,c_65828,c_73987,c_97835,c_101841,c_102552]) ).

tcf(c_112378,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv2(skf2(X0))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(renaming,[status(thm)],[c_112377]) ).

tcf(c_112384,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_112378]) ).

tcf(c_112386,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_112384,c_102,c_101,c_1028,c_1166,c_1349,c_3091,c_3837,c_7085,c_8418,c_8538,c_9375,c_12761,c_12964,c_14450,c_19278,c_21834,c_23454,c_24902,c_25272,c_25478,c_45412,c_46697,c_48472,c_49134,c_50644,c_51033,c_65502,c_96289,c_100134,c_100768,c_101843,c_105520,c_112131,c_112384]) ).

tcf(c_112396,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ssPv2(skf2(skf3(skf3(X0)))) ),
    inference(global_subsumption_just,[status(thm)],[c_5832,c_103754]) ).

tcf(c_112397,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf2(skf3(skf3(X0))))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(renaming,[status(thm)],[c_112396]) ).

tcf(c_112415,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv4(skf2(X0))
      | ~ ssRr(skf3(X0),X1)
      | ~ ssPv4(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_3222,c_3222,c_15135,c_24900,c_28562,c_70427,c_112178]) ).

tcf(c_112416,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(renaming,[status(thm)],[c_112415]) ).

tcf(c_112422,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_112416]) ).

tcf(c_112433,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_4932]) ).

tcf(c_112440,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(X0)))) ),
    inference(global_subsumption_just,[status(thm)],[c_112433,c_102,c_101,c_1024,c_4866,c_4976,c_5842,c_11705,c_15114,c_25272,c_25321,c_30010,c_36126,c_44381,c_48121,c_49270,c_51220,c_51486,c_65828,c_66833,c_91770,c_96152,c_98028,c_102524,c_108678]) ).

tcf(c_112441,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(renaming,[status(thm)],[c_112440]) ).

tcf(c_112448,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ~ ssRr(X1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_4940,c_102,c_1028,c_1166,c_1349,c_1476,c_1673,c_3091,c_3837,c_3895,c_4940,c_7085,c_8418,c_9375,c_12761,c_14450,c_19278,c_21935,c_23454,c_24902,c_43105,c_45412,c_46697,c_48472,c_50644,c_51033,c_65502,c_67698,c_68742,c_72274,c_73943,c_96289,c_101843,c_103755,c_108672,c_111583,c_111593]) ).

tcf(c_112449,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv2(skf2(X1))
      | ssPv3(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_112448]) ).

tcf(c_112455,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_112449]) ).

tcf(c_112465,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv2(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1205]) ).

tcf(c_112472,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv3(X1)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1240]) ).

tcf(c_112505,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_111904,c_4956]) ).

tcf(c_112518,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_112270]) ).

tcf(c_112543,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1185]) ).

tcf(c_112544,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(X0)
      | ssPv4(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_112543,c_3223,c_10579,c_22670,c_25019,c_43105,c_65836,c_92930,c_99873,c_102579,c_111098]) ).

tcf(c_112545,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_112544]) ).

tcf(c_112552,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_102,c_112545]) ).

tcf(c_112569,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv1(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_112505,c_47767]) ).

tcf(c_112570,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_112569]) ).

tcf(c_112576,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv1(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_112570]) ).

tcf(c_112593,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv3(X2)
      | ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1440]) ).

tcf(c_112600,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_1402]) ).

tcf(c_112601,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_112576,c_102,c_101,c_1028,c_5842,c_11525,c_20148,c_25314,c_25478,c_47773,c_48798,c_79252,c_96521,c_111576]) ).

tcf(c_112607,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ~ ssPv4(X0)
      | ~ ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_111588,c_112601]) ).

tcf(c_112635,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(skf2(skf2(skf2(X0))))
      | ~ ssPv2(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_112465]) ).

tcf(c_112653,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_112472]) ).

tcf(c_112654,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_112472]) ).

tcf(c_112660,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(skf3(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_112654,c_112422]) ).

tcf(c_112670,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_112653,c_112362]) ).

tcf(c_112703,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X2)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1451]) ).

tcf(c_112711,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv4(X0)
      | ssPv1(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X2)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_1461]) ).

tcf(c_112727,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv1(X2)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1504]) ).

tcf(c_112758,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv2(skf3(X0))
      | ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0))))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_112593]) ).

tcf(c_112759,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(X1)
      | ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_112593]) ).

tcf(c_112765,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv3(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_112759]) ).

tcf(c_112770,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv3(X1)
      | ssPv4(X1)
      | ssPv3(skf2(skf2(X1)))
      | ~ ssPv2(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_112765,c_3886]) ).

tcf(c_112776,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(skf3(skf3(X0))))) ),
    inference(superposition,[status(thm)],[c_101,c_112758]) ).

tcf(c_112777,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_102,c_112758]) ).

tcf(c_112782,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X1))
      | ssPv3(skf2(X1))
      | ssPv3(skf3(X1))
      | ssPv4(skf3(X1))
      | ~ ssPv2(X0)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_112777,c_3886]) ).

tcf(c_112787,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv2(skf3(skf3(X1)))
      | ssPv3(skf3(skf3(X1)))
      | ssPv4(skf3(skf3(X1)))
      | ~ ssPv2(X0)
      | ~ ssRr(X0,skf3(skf3(X1))) ),
    inference(superposition,[status(thm)],[c_112776,c_3886]) ).

tcf(c_112788,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv4(X0)
      | ~ ssRr(skf3(skf3(X0)),X1)
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_3161,c_3161,c_103734]) ).

tcf(c_112789,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv4(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(renaming,[status(thm)],[c_112788]) ).

tcf(c_112795,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_112789]) ).

tcf(c_112800,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_112654,c_112795]) ).

tcf(c_112801,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_112653,c_112795]) ).

tcf(c_112809,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv2(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_112770]) ).

tcf(c_112817,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_101,c_112787]) ).

tcf(c_112824,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf3(X0))
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_112782]) ).

tcf(c_112832,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0)
      | ssPv3(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_112809,c_102,c_101,c_1024,c_1028,c_6972,c_7650,c_20164,c_26235,c_31472,c_43512,c_45150,c_48280,c_48958,c_65828,c_69071,c_101841,c_102552,c_108241,c_108258,c_111583,c_112422,c_112601]) ).

tcf(c_112854,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv4(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_112824,c_101,c_1024,c_1476,c_4530,c_4728,c_5537,c_5631,c_7085,c_7109,c_7138,c_11703,c_19278,c_20146,c_20223,c_21593,c_25017,c_28561,c_29606,c_36587,c_43105,c_43497,c_48121,c_48308,c_50073,c_98304,c_99793,c_102552,c_108248]) ).

tcf(c_112877,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_112600,c_102,c_101,c_1028,c_5842,c_11525,c_20148,c_25314,c_25478,c_47773,c_48115,c_48798,c_79252,c_96521,c_111576]) ).

tcf(c_112883,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_112877]) ).

tcf(c_112884,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_112877]) ).

tcf(c_112911,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_112703]) ).

tcf(c_112912,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X1)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_112703]) ).

tcf(c_112918,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_112912]) ).

tcf(c_112925,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_111904,c_112918]) ).

tcf(c_112935,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_101,c_112911]) ).

tcf(c_112937,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_112925,c_48280]) ).

tcf(c_112944,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_112937,c_112601]) ).

tcf(c_112948,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_112944,c_102,c_101,c_1024,c_1028,c_7650,c_20164,c_31472,c_45150,c_48958,c_65828,c_101841,c_101886,c_102552,c_108241,c_108258,c_112422,c_112601]) ).

tcf(c_112954,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv1(skf2(X0))
      | ~ ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_112948,c_112884]) ).

tcf(c_113002,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0))))) ),
    inference(superposition,[status(thm)],[c_112935,c_112601]) ).

tcf(c_113003,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(skf3(skf3(skf3(X0)))))
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0)))))
      | ~ ssPv4(skf3(skf3(skf3(skf3(X0))))) ),
    inference(superposition,[status(thm)],[c_112935,c_1561]) ).

tcf(c_113004,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0))))) ),
    inference(superposition,[status(thm)],[c_112935,c_112883]) ).

tcf(c_113008,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv4(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_112711,c_102,c_101,c_1024,c_1028,c_7650,c_20164,c_31472,c_45150,c_65828,c_101841,c_102552,c_108241,c_108258,c_112422,c_112601]) ).

tcf(c_113009,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(X0) ),
    inference(renaming,[status(thm)],[c_113008]) ).

tcf(c_113014,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_113009,c_112795]) ).

tcf(c_113017,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(skf2(X0))
      | ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_113009,c_112422]) ).

tcf(c_113031,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv1(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_112727]) ).

tcf(c_113037,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_113031]) ).

tcf(c_113039,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_113037,c_102,c_101,c_1024,c_4976,c_7830,c_7869,c_11705,c_14591,c_15114,c_18439,c_22509,c_25272,c_25321,c_30010,c_36126,c_36983,c_37425,c_44381,c_56520,c_65828,c_91770,c_98028,c_102524,c_102579,c_108317,c_112948,c_113017]) ).

tcf(c_113089,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv3(skf3(skf3(skf3(skf3(X0))))) ),
    inference(global_subsumption_just,[status(thm)],[c_113003,c_1476,c_1673,c_43497,c_68742,c_101886,c_106230,c_112362,c_112670,c_113004,c_113002]) ).

tcf(c_113096,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(skf2(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_112335,c_113089]) ).

tcf(c_113099,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_4530,c_113089]) ).

tcf(c_113262,plain,
    ! [X0: $i] :
      ( ~ ssPv2(skf3(skf3(skf3(X0))))
      | ssPv4(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ssPv2(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_112817,c_102,c_101,c_1024,c_1028,c_1476,c_1673,c_3131,c_5842,c_11525,c_20148,c_21553,c_25314,c_25478,c_41972,c_47773,c_48798,c_65042,c_68742,c_79252,c_96521,c_108303,c_110207,c_110750,c_111576,c_113089]) ).

tcf(c_113263,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(skf3(X0)))) ),
    inference(renaming,[status(thm)],[c_113262]) ).

tcf(c_113290,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(skf2(X1))
      | ssPv3(skf2(X1))
      | ~ ssPv2(X1)
      | ~ ssPv2(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_1290]) ).

tcf(c_113296,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv2(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_113290]) ).

tcf(c_113324,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X1))
      | ~ ssPv3(X2)
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,skf2(X1)) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_1365,c_113009]) ).

tcf(c_113336,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv4(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_113324]) ).

tcf(c_113342,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X0))
      | ~ ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_113336]) ).

tcf(c_113404,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ssPv2(skf2(X0))
      | ssPv4(skf2(X0))
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(superposition,[status(thm)],[c_102,c_1441]) ).

tcf(c_113411,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(X1))
      | ssPv4(skf2(X1))
      | ssPv3(skf2(skf2(skf2(X1))))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_113404]) ).

tcf(c_113418,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ssPv3(skf2(skf2(skf2(skf2(X0))))) ),
    inference(superposition,[status(thm)],[c_102,c_113411]) ).

tcf(c_113428,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv4(X0)
      | ssPv2(skf2(skf2(X1)))
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv1(skf2(skf2(X1)))
      | ~ ssRr(X0,skf2(skf2(X1))) ),
    inference(superposition,[status(thm)],[c_113418,c_3846]) ).

tcf(c_113435,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_112518,c_7905]) ).

tcf(c_113436,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv2(skf2(X0))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_112386,c_7905]) ).

tcf(c_113438,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv4(X2)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_4327,c_7905]) ).

tcf(c_113457,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv2(skf3(X2))
      | ~ ssPv2(X2)
      | ~ ssPv3(X0)
      | ~ ssPv3(skf2(X2))
      | ~ ssPv1(skf3(X2))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_112654,c_9096]) ).

tcf(c_113465,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv1(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_6683,c_113009]) ).

tcf(c_113476,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_113465]) ).

tcf(c_113477,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(skf2(skf3(X0)),X1) ),
    inference(superposition,[status(thm)],[c_102,c_113465]) ).

tcf(c_113484,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_113476]) ).

tcf(c_113496,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ssPv3(skf2(skf2(skf3(X0))))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_113477]) ).

tcf(c_113508,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv4(X0)
      | ssPv2(skf2(skf2(X1)))
      | ssPv4(skf2(skf2(X1)))
      | ~ ssRr(X0,skf2(skf2(X1))) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_113428,c_113009]) ).

tcf(c_113519,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ssPv4(skf3(skf2(skf2(X0)))) ),
    inference(superposition,[status(thm)],[c_101,c_113508]) ).

tcf(c_113520,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(skf2(X0))
      | ssPv2(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_113508]) ).

tcf(c_113523,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1)
      | ~ ssRr(X1,X2) ),
    inference(global_subsumption_just,[status(thm)],[c_113435,c_102,c_1028,c_1166,c_1562,c_6919,c_7905,c_13281,c_15227,c_88392,c_108317,c_112552,c_113436]) ).

tcf(c_113524,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_113523]) ).

tcf(c_113531,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_113524]) ).

tcf(c_113532,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_113524]) ).

tcf(c_113545,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv4(X2)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1)
      | ~ ssRr(X1,X2) ),
    inference(global_subsumption_just,[status(thm)],[c_113438,c_102,c_101,c_1028,c_1172,c_4327,c_4573,c_8073,c_15050,c_15966,c_17906,c_25022,c_36960,c_66898,c_71234,c_97516,c_105516,c_109685,c_112422,c_113524]) ).

tcf(c_113546,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv4(X2)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_113545]) ).

tcf(c_113547,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv4(X2)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssRr(X0,X1)
      | ~ ssRr(X1,X2) ),
    inference(global_subsumption_just,[status(thm)],[c_113546,c_102,c_101,c_1028,c_1172,c_3314,c_15966,c_16682,c_103755,c_105504,c_109685,c_112422,c_113009,c_113546]) ).

tcf(c_113548,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv4(X2)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_113547]) ).

tcf(c_113556,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv2(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_113548]) ).

tcf(c_113557,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv4(X1)
      | ssPv2(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_113548]) ).

tcf(c_113560,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(skf2(skf2(X0)))
      | ssPv2(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_113520,c_102,c_101,c_1024,c_1028,c_1166,c_2184,c_3091,c_7612,c_7650,c_9688,c_10579,c_13496,c_17011,c_20164,c_22906,c_25478,c_31472,c_45150,c_61805,c_65828,c_98288,c_101841,c_102552,c_108241,c_108258,c_111583,c_112422,c_112601,c_113039,c_113520,c_113519]) ).

tcf(c_113561,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0))) ),
    inference(renaming,[status(thm)],[c_113560]) ).

tcf(c_113578,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0) ),
    inference(superposition,[status(thm)],[c_102,c_113557]) ).

tcf(c_113580,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv2(skf3(X0))
      | ssPv4(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_113578,c_102,c_101,c_1024,c_1028,c_1166,c_1349,c_1561,c_3091,c_3837,c_4976,c_5372,c_5538,c_7085,c_7271,c_7830,c_7869,c_8418,c_9375,c_10579,c_10913,c_11525,c_11705,c_12761,c_12964,c_14450,c_14591,c_15114,c_15135,c_18439,c_19278,c_20148,c_22509,c_22655,c_22670,c_22906,c_23454,c_24900,c_24902,c_25019,c_25272,c_25321,c_27372,c_28562,c_30010,c_31584,c_36126,c_36587,c_36983,c_37425,c_43105,c_44381,c_45412,c_46697,c_48122,c_48472,c_50644,c_51033,c_53783,c_56520,c_59177,c_65502,c_65828,c_65836,c_70427,c_79252,c_91770,c_92916,c_92930,c_96289,c_98028,c_98288,c_99873,c_101843,c_101886,c_102524,c_102570,c_102579,c_108317,c_108672,c_108678,c_111098,c_111583,c_112359,c_112552,c_112660,c_112948,c_113017,c_113578]) ).

tcf(c_113593,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_102,c_113532]) ).

tcf(c_113595,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv4(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_113593,c_102,c_1028,c_1166,c_1349,c_3091,c_3837,c_7085,c_8418,c_9375,c_10579,c_12761,c_14450,c_19278,c_22670,c_23454,c_24902,c_25019,c_43105,c_45412,c_46697,c_48472,c_50644,c_51033,c_65502,c_65836,c_92930,c_96289,c_99873,c_101843,c_102579,c_108672]) ).

tcf(c_113596,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(renaming,[status(thm)],[c_113595]) ).

tcf(c_113601,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_113596,c_112201]) ).

tcf(c_113615,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv4(skf2(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_113556]) ).

tcf(c_113639,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_113531]) ).

tcf(c_113641,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_113639,c_102,c_101,c_1028,c_1561,c_5538,c_7271,c_10913,c_11525,c_15135,c_20148,c_22655,c_24900,c_28562,c_48122,c_70427,c_79252,c_102570,c_108678]) ).

tcf(c_113642,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(renaming,[status(thm)],[c_113641]) ).

tcf(c_113676,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv2(skf3(X1))
      | ~ ssPv2(X1)
      | ~ ssPv3(skf2(X1))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_113457]) ).

tcf(c_113712,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_6960]) ).

tcf(c_113719,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(X0)))
      | ~ ssPv4(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_113712]) ).

tcf(c_113720,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_113712]) ).

tcf(c_113721,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_113720,c_7830,c_14591,c_18439,c_37425,c_56520,c_102579,c_108317]) ).

tcf(c_113745,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_113719,c_102,c_101,c_1024,c_1028,c_7650,c_20164,c_31472,c_36096,c_45150,c_65828,c_101841,c_102552,c_108241,c_108258,c_112422,c_112601]) ).

tcf(c_113758,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(X0))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_112441,c_113745]) ).

tcf(c_113790,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X1,X0)
      | ~ ssPv1(skf3(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_9122]) ).

tcf(c_113791,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv1(X1)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_9122]) ).

tcf(c_113797,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_113791]) ).

tcf(c_113798,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(skf2(skf2(X0))))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_113791]) ).

tcf(c_113804,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv1(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_113797,c_7905]) ).

tcf(c_113806,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_113797,c_4956]) ).

tcf(c_113816,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssPv2(skf2(skf2(X0)))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_113798,c_4956]) ).

tcf(c_113819,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(X0))
      | ~ ssRr(X0,X1)
      | ~ ssPv2(skf2(X0))
      | ~ ssPv1(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_113806,c_8073,c_14397,c_15228,c_37206,c_65837,c_100268,c_101886,c_105516,c_107729,c_112948]) ).

tcf(c_113820,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_113819]) ).

tcf(c_113827,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_113820]) ).

tcf(c_113842,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssRr(skf2(X0),X1)
      | ~ ssPv1(skf2(X0))
      | ~ ssPv3(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_113816,c_102,c_101,c_1024,c_1028,c_1166,c_2184,c_7128,c_7650,c_20164,c_31472,c_38060,c_45150,c_65828,c_73987,c_75578,c_101841,c_102552,c_104691,c_108241,c_108258,c_112271,c_112378,c_112422,c_112601]) ).

tcf(c_113843,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(skf2(X0),X1) ),
    inference(renaming,[status(thm)],[c_113842]) ).

tcf(c_113848,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_113843]) ).

tcf(c_113850,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv1(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1)
      | ~ ssRr(X1,X2) ),
    inference(global_subsumption_just,[status(thm)],[c_113804,c_102,c_101,c_1024,c_4251,c_4750,c_21692,c_25476,c_36617,c_37425,c_43140,c_48507,c_50697,c_51220,c_65840,c_96152,c_113524]) ).

tcf(c_113851,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv1(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_113850]) ).

tcf(c_113858,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_113851]) ).

tcf(c_113872,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_113827,c_102,c_101,c_1024,c_1476,c_4976,c_10986,c_11705,c_15114,c_25272,c_25321,c_30010,c_36126,c_44381,c_44583,c_49270,c_51220,c_60156,c_65828,c_66833,c_91770,c_92648,c_92916,c_96152,c_98028,c_102524,c_108678,c_112801,c_113009,c_113721,c_113827]) ).

tcf(c_113880,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv3(skf3(X0))
      | ssPv1(skf2(X0))
      | ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_112455,c_113872]) ).

tcf(c_113885,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf2(skf3(X0)))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_112178,c_113872]) ).

tcf(c_113886,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf2(skf3(skf3(X0))))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_112397,c_113872]) ).

tcf(c_113919,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv4(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_113858]) ).

tcf(c_113920,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_113858]) ).

tcf(c_113921,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_113920,c_102,c_101,c_1024,c_1028,c_1129,c_1303,c_1476,c_1561,c_4108,c_4251,c_4573,c_7650,c_8538,c_11525,c_11946,c_18439,c_18768,c_20148,c_21691,c_22264,c_22655,c_22670,c_23957,c_24900,c_25272,c_26535,c_26927,c_27113,c_28562,c_29604,c_31472,c_35934,c_36122,c_36127,c_36116,c_37264,c_44350,c_48966,c_53783,c_56458,c_59174,c_101841,c_108258,c_112422,c_113642,c_113721,c_113885]) ).

tcf(c_113937,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_113919,c_1024,c_1476,c_1673,c_6143,c_7936,c_21700,c_28470,c_35299,c_36938,c_44348,c_67772,c_68346,c_92819,c_99506,c_103734,c_103755,c_110705,c_113886,c_113921]) ).

tcf(c_113940,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_113937,c_102,c_101,c_1024,c_1028,c_1476,c_1673,c_2998,c_3464,c_6143,c_7650,c_14949,c_19709,c_20164,c_27403,c_31472,c_35434,c_43195,c_45150,c_52207,c_65828,c_66982,c_67772,c_92819,c_93755,c_101841,c_102552,c_103734,c_103755,c_103754,c_103779,c_108241,c_108258,c_110751,c_112422,c_112601,c_113096,c_113937]) ).

tcf(c_113945,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_113009,c_113940]) ).

tcf(c_113955,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(X1))
      | ssPv1(skf2(skf2(X1)))
      | ~ ssPv2(skf2(X1))
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_111588,c_113790]) ).

tcf(c_113995,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X0)
      | ssPv4(skf2(skf2(X1)))
      | ~ ssPv3(X1)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_9440]) ).

tcf(c_114002,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ssPv1(skf2(skf2(X0)))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_113955]) ).

tcf(c_114020,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X0)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X2)
      | ~ ssPv4(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_1525]) ).

tcf(c_114034,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_113995]) ).

tcf(c_114035,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf2(skf2(skf2(X0))))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_113995]) ).

tcf(c_114046,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0))
      | ssPv1(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_114002,c_102,c_1028,c_1166,c_6919,c_51220,c_96152,c_96281,c_100267,c_104372,c_104426,c_104432,c_112131,c_112351,c_113721,c_113827]) ).

tcf(c_114049,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_114046,c_7830,c_26235,c_43140,c_50475,c_51220,c_69071,c_72355,c_96152,c_96281,c_100265,c_104372,c_106581,c_112131,c_112954,c_113721,c_113880,c_114046]) ).

tcf(c_114085,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_114020,c_102,c_101,c_1024,c_1028,c_1561,c_4206,c_5372,c_5538,c_7271,c_10913,c_11525,c_11705,c_12964,c_15135,c_20148,c_22655,c_22906,c_24826,c_24900,c_25019,c_28562,c_36587,c_43105,c_48122,c_48121,c_49565,c_49599,c_49768,c_50662,c_53783,c_59177,c_61580,c_70427,c_79252,c_92916,c_98028,c_101886,c_102570,c_108304,c_108678,c_111098,c_112359,c_113484]) ).

tcf(c_114097,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_114085,c_1547]) ).

tcf(c_114127,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv1(X2)
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf2(skf3(X0))))
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_9956]) ).

tcf(c_114128,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv1(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_9956]) ).

tcf(c_114129,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssRr(skf2(X0),X1)
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(X0)
      | ssPv1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_114128,c_102,c_101,c_1024,c_1028,c_1476,c_4573,c_4976,c_7650,c_10986,c_11705,c_15114,c_20164,c_24900,c_25272,c_25321,c_25478,c_30010,c_31472,c_36126,c_44381,c_44583,c_45150,c_49270,c_51220,c_60156,c_65828,c_66833,c_91770,c_92648,c_92916,c_96152,c_96153,c_98028,c_101841,c_102524,c_102552,c_108241,c_108258,c_108672,c_108678,c_112422,c_112601,c_112801,c_112884,c_113009,c_113721,c_113827,c_113843]) ).

tcf(c_114130,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssRr(skf2(X0),X1) ),
    inference(renaming,[status(thm)],[c_114129]) ).

tcf(c_114136,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_114130]) ).

tcf(c_114138,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_114136,c_10579,c_22670,c_25019,c_43105,c_65836,c_92930,c_99873,c_102579,c_102580,c_104426,c_104480,c_108307,c_113561,c_113848,c_113945,c_114136]) ).

tcf(c_114139,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf2(X0)))
      | ssPv1(skf2(skf2(X0))) ),
    inference(renaming,[status(thm)],[c_114138]) ).

tcf(c_114158,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv4(X0)
      | ~ ssPv3(X1)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_1610]) ).

tcf(c_114159,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X3)
      | ssPv1(X0)
      | ~ ssRr(X0,skf3(X1))
      | ~ ssRr(X0,X2)
      | ~ ssRr(X2,X3)
      | ~ ssPv1(X1) ),
    inference(global_subsumption_just,[status(thm)],[c_2241,c_2241,c_113009]) ).

tcf(c_114160,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X3)
      | ssPv1(X0)
      | ~ ssPv1(X1)
      | ~ ssRr(X2,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(renaming,[status(thm)],[c_114159]) ).

tcf(c_114167,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(superposition,[status(thm)],[c_101,c_114160]) ).

tcf(c_114176,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_2257]) ).

tcf(c_114191,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_114167]) ).

tcf(c_114199,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X0) ),
    inference(superposition,[status(thm)],[c_101,c_114191]) ).

tcf(c_114203,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_114199,c_1303,c_4251,c_51884,c_62090,c_66900,c_98039,c_101841,c_102525,c_112607,c_113484,c_113945,c_114085]) ).

tcf(c_114208,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(skf3(X0)))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_114203,c_113642]) ).

tcf(c_114209,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf2(skf3(X0)))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_114203,c_112884]) ).

tcf(c_114210,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_114203,c_112601]) ).

tcf(c_114212,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_114203,c_112883]) ).

tcf(c_114236,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv3(X2)
      | ssPv3(X0)
      | ssPv4(X0)
      | ~ ssPv3(X1)
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_4531,c_114158]) ).

tcf(c_114246,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(skf3(skf3(X1))))
      | ~ ssPv1(X0)
      | ~ ssPv2(skf3(X1))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_114176]) ).

tcf(c_114247,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf2(X1))
      | ssPv1(skf3(skf3(X1)))
      | ~ ssPv2(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_114176]) ).

tcf(c_114253,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_114247]) ).

tcf(c_114255,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_114253,c_102,c_101,c_1028,c_1303,c_4251,c_24900,c_25478,c_47888,c_51884,c_62090,c_66900,c_92648,c_98039,c_101841,c_102525,c_112607,c_112884,c_113484,c_113721,c_113945,c_114085]) ).

tcf(c_114262,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_114255,c_112601]) ).

tcf(c_114273,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(X0)
      | ssPv3(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_114236,c_102,c_101,c_1024,c_1028,c_1561,c_5538,c_7271,c_7612,c_7650,c_10913,c_11525,c_15135,c_20148,c_20164,c_22655,c_22906,c_24900,c_28562,c_31472,c_45150,c_48122,c_49820,c_65828,c_70427,c_79252,c_101841,c_102552,c_102570,c_105520,c_108241,c_108260,c_108258,c_108678,c_112422,c_112601,c_112832,c_112948,c_114203]) ).

tcf(c_114274,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(X0) ),
    inference(renaming,[status(thm)],[c_114273]) ).

tcf(c_114281,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_114274,c_113745]) ).

tcf(c_114287,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ssPv4(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_114274,c_113263]) ).

tcf(c_114317,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_114246]) ).

tcf(c_114323,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_114317,c_112884]) ).

tcf(c_114326,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_114317,c_112883]) ).

tcf(c_114334,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv1(X1)
      | ssPv1(skf3(X0))
      | ssPv4(skf2(skf2(skf3(X0))))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_114127]) ).

tcf(c_114336,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv1(X1)
      | ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_114334,c_102,c_101,c_1024,c_1476,c_1673,c_2998,c_4251,c_4750,c_6452,c_7052,c_9637,c_14397,c_14956,c_21692,c_23890,c_25476,c_36617,c_37206,c_37425,c_43140,c_43726,c_45373,c_46396,c_46576,c_48507,c_50697,c_51220,c_65840,c_65837,c_93361,c_96152,c_102524,c_103734,c_108209,c_113099,c_114049,c_114203,c_114210]) ).

tcf(c_114343,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_114336]) ).

tcf(c_114344,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf2(X0))
      | ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_114336]) ).

tcf(c_114347,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ssPv1(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_114344,c_102,c_101,c_1024,c_1028,c_1476,c_7650,c_7830,c_7869,c_14591,c_15717,c_18439,c_20164,c_27474,c_31472,c_37425,c_43511,c_45150,c_56520,c_65828,c_92916,c_93361,c_99780,c_100134,c_101687,c_101841,c_102552,c_102579,c_108241,c_108258,c_108317,c_110207,c_112422,c_112601,c_114049,c_114139,c_114255,c_114262,c_114344]) ).

tcf(c_114348,plain,
    ! [X0: $i] :
      ( ssPv1(skf2(X0))
      | ssPv1(skf3(X0)) ),
    inference(renaming,[status(thm)],[c_114347]) ).

tcf(c_114410,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv4(X1)
      | ~ ssPv1(X2)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf2(X0))
      | ~ ssRr(X2,skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_113496,c_10014]) ).

tcf(c_114455,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_114326,c_102,c_101,c_1024,c_1028,c_1476,c_4251,c_4750,c_7650,c_7830,c_7869,c_14591,c_15717,c_18439,c_20164,c_21692,c_25476,c_27474,c_31472,c_36617,c_37425,c_43140,c_43511,c_45150,c_45219,c_48507,c_50697,c_51220,c_56520,c_65828,c_65840,c_92916,c_93361,c_93753,c_96152,c_99780,c_100134,c_101687,c_101841,c_102552,c_102579,c_108241,c_108258,c_108317,c_110207,c_112422,c_112601,c_112883,c_114049,c_114139,c_114262,c_114344]) ).

tcf(c_114481,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_114323,c_102,c_101,c_1024,c_1028,c_1476,c_1561,c_1673,c_4251,c_4750,c_5538,c_5842,c_7052,c_7271,c_7507,c_7612,c_7650,c_7672,c_10579,c_10913,c_11525,c_15135,c_20148,c_20164,c_21692,c_22655,c_22906,c_24900,c_25476,c_25478,c_27474,c_28562,c_29986,c_30947,c_31472,c_36617,c_37425,c_43140,c_43280,c_45150,c_45219,c_48122,c_48507,c_49270,c_49820,c_49980,c_50697,c_51220,c_60162,c_65828,c_65840,c_67040,c_70427,c_72358,c_76969,c_79252,c_93753,c_96152,c_96153,c_96860,c_96911,c_98039,c_98288,c_100268,c_101841,c_102552,c_102570,c_105520,c_106548,c_107729,c_108241,c_108260,c_108258,c_108678,c_109966,c_110751,c_112422,c_112455,c_112601,c_112832,c_112884,c_112883,c_112948,c_113009,c_113601,c_114255,c_114287,c_114348]) ).

tcf(c_114484,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf2(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_114481,c_102,c_101,c_1024,c_1028,c_1476,c_1561,c_4251,c_4530,c_4750,c_5538,c_5842,c_7271,c_7612,c_7650,c_7672,c_10579,c_10913,c_11525,c_15135,c_20148,c_20164,c_21692,c_22655,c_22906,c_24900,c_25476,c_25478,c_27474,c_28562,c_31472,c_36617,c_37425,c_43140,c_45150,c_45219,c_48122,c_48216,c_48507,c_49270,c_49820,c_50697,c_51220,c_65828,c_65840,c_67040,c_70427,c_72358,c_76969,c_79252,c_93753,c_96152,c_96153,c_96860,c_96911,c_98288,c_100268,c_101841,c_102552,c_102570,c_105520,c_107729,c_108241,c_108260,c_108258,c_108678,c_110751,c_112422,c_112455,c_112601,c_112832,c_112884,c_112883,c_112948,c_113009,c_113601,c_114255,c_114348,c_114481]) ).

tcf(c_114491,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_114484,c_113484]) ).

tcf(c_114494,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv4(X1)
      | ~ ssPv1(X2)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(skf3(X0),X1)
      | ~ ssRr(X2,skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_114410,c_102,c_101,c_1024,c_1028,c_1561,c_5538,c_7271,c_7612,c_7672,c_10579,c_10913,c_11525,c_15135,c_16342,c_20148,c_22655,c_22906,c_24900,c_25478,c_28562,c_48122,c_49270,c_49820,c_67040,c_70427,c_72358,c_76969,c_79252,c_96153,c_96860,c_96911,c_98288,c_100268,c_102570,c_105520,c_107729,c_108260,c_108678,c_110751,c_112455,c_112832,c_112884,c_112948,c_113009,c_113601,c_114255,c_114348]) ).

tcf(c_114495,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv4(X1)
      | ~ ssPv1(X2)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X2,skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(renaming,[status(thm)],[c_114494]) ).

tcf(c_114503,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv4(X1)
      | ~ ssPv1(X2)
      | ~ ssRr(X2,skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(forward_subsumption_resolution,[status(thm)],[c_114495,c_113009]) ).

tcf(c_114514,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv4(X1)
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_114503]) ).

tcf(c_114520,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_114514]) ).

tcf(c_114521,plain,
    ! [X0: $i] :
      ( ssPv1(skf3(X0))
      | ~ ssPv4(skf2(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_114514]) ).

tcf(c_114611,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(X0)
      | ~ ssPv2(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_2662]) ).

tcf(c_114619,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(X0)
      | ssPv4(skf3(X0))
      | ~ ssPv2(X0)
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_114034,c_114611]) ).

tcf(c_114630,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X0)
      | ssPv1(X2)
      | ssPv1(skf2(X0))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv3(skf2(X0))
      | ~ ssRr(X1,X2)
      | ~ ssPv2(skf2(skf2(X0)))
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_114035,c_114611]) ).

tcf(c_114645,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X0)
      | ssPv1(X1)
      | ~ ssPv1(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X1,X2)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_2672]) ).

tcf(c_114653,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv1(X0)
      | ssPv3(skf3(X2))
      | ~ ssPv1(X2)
      | ~ ssPv4(skf3(X2))
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_111588,c_114645]) ).

tcf(c_114674,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_2978]) ).

tcf(c_114682,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ssPv4(skf3(X0))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0))
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_114034,c_114674]) ).

tcf(c_114683,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ~ ssPv4(X0)
      | ~ ssPv1(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_113596,c_114674]) ).

tcf(c_114687,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ssPv2(skf2(X0))
      | ~ ssPv4(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_112552,c_114674]) ).

tcf(c_114718,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv3(skf3(X1))
      | ssPv1(skf3(X0))
      | ~ ssPv1(X1)
      | ~ ssPv4(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_114653]) ).

tcf(c_114729,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(X0)
      | ssPv4(skf3(X0))
      | ~ ssPv2(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_114619,c_5372,c_6961,c_7561,c_15966,c_113009,c_114212]) ).

tcf(c_114732,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(X0)
      | ~ ssRr(X0,X1)
      | ~ ssRr(X1,X2)
      | ~ ssPv2(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_114729,c_102,c_101,c_1024,c_1028,c_1476,c_1673,c_5842,c_11525,c_11703,c_14902,c_20148,c_25314,c_25478,c_36096,c_47773,c_48798,c_68692,c_76891,c_79252,c_92916,c_93320,c_93489,c_96521,c_108691,c_111576,c_112362,c_112441,c_113009,c_113758,c_114281,c_114343,c_114729]) ).

tcf(c_114733,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(X0)
      | ~ ssPv2(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_114732]) ).

tcf(c_114740,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(X0))
      | ~ ssPv2(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_114733]) ).

tcf(c_114774,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv1(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_114740,c_4932,c_36096,c_47767,c_113009,c_114336,c_114343,c_114348,c_114455,c_114740]) ).

tcf(c_114780,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_114774]) ).

tcf(c_114792,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_114780,c_114455]) ).

tcf(c_114793,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_114780,c_112883]) ).

tcf(c_114798,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv3(skf3(X1))
      | ssPv1(skf3(X0))
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf3(X1)) ),
    inference(global_subsumption_just,[status(thm)],[c_114718,c_102,c_101,c_1024,c_1028,c_1561,c_4932,c_5538,c_7271,c_7612,c_7672,c_10579,c_10913,c_11525,c_15135,c_20148,c_22655,c_22906,c_24900,c_25478,c_28562,c_36096,c_47767,c_48122,c_49270,c_49820,c_67040,c_70427,c_72358,c_76969,c_79252,c_96153,c_96860,c_96911,c_98288,c_100268,c_102570,c_105520,c_107729,c_108260,c_108678,c_110751,c_112455,c_112832,c_112884,c_112948,c_113009,c_113601,c_114255,c_114336,c_114343,c_114348,c_114455,c_114718,c_114740]) ).

tcf(c_114799,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv3(skf3(X1))
      | ssPv1(skf3(X0))
      | ~ ssPv4(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_114798]) ).

tcf(c_114806,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_114799]) ).

tcf(c_114810,plain,
    ! [X0: $i] :
      ( ~ ssPv4(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ssPv3(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_114806,c_21691,c_114806]) ).

tcf(c_114811,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0)) ),
    inference(renaming,[status(thm)],[c_114810]) ).

tcf(c_114852,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1)
      | ~ ssRr(X2,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_114682,c_3223,c_4383,c_7315,c_27822,c_92916,c_111116,c_112883,c_114687,c_114683,c_114780]) ).

tcf(c_114853,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv2(X2)
      | ssPv3(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_114852]) ).

tcf(c_114860,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv3(skf2(X1))
      | ~ ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_114853]) ).

tcf(c_114878,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_101,c_114860]) ).

tcf(c_114879,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_114860]) ).

tcf(c_114886,plain,
    ! [X0: $i] :
      ( ssPv2(skf2(X0))
      | ssPv3(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_114878,c_113296]) ).

tcf(c_114931,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv4(skf3(skf3(X0)))
      | ~ ssPv2(X0)
      | ~ ssPv3(X2)
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_3008]) ).

tcf(c_114938,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv4(skf3(skf3(skf3(X1))))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf3(X1))
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_101,c_114931]) ).

tcf(c_114939,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X1))
      | ssPv4(skf3(skf3(X1)))
      | ~ ssPv2(X1)
      | ~ ssPv3(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_114931]) ).

tcf(c_114946,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf2(X0)))
      | ssPv4(skf3(skf3(skf2(X0))))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_114939]) ).

tcf(c_114970,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_114946,c_113940]) ).

tcf(c_114985,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ~ ssPv3(skf2(X0))
      | ssPv1(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_114630,c_102,c_101,c_1024,c_1028,c_1561,c_5538,c_7271,c_7612,c_7672,c_10579,c_10913,c_11525,c_15135,c_20148,c_22655,c_22906,c_24900,c_25478,c_28562,c_48122,c_49270,c_49820,c_67040,c_70427,c_72358,c_76969,c_79252,c_96153,c_96860,c_96911,c_98288,c_100268,c_102570,c_105520,c_107729,c_108260,c_108678,c_110751,c_112455,c_112832,c_112884,c_112948,c_113009,c_113601,c_114255,c_114348]) ).

tcf(c_114986,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf2(X0))
      | ~ ssPv3(skf2(X0)) ),
    inference(renaming,[status(thm)],[c_114985]) ).

tcf(c_114988,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv1(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_114986,c_102,c_101,c_1028,c_1561,c_5538,c_7271,c_7612,c_10579,c_10913,c_11525,c_15135,c_20148,c_22655,c_22906,c_24900,c_25478,c_28562,c_48122,c_49270,c_49820,c_67040,c_70427,c_72358,c_79252,c_96153,c_100268,c_102570,c_105520,c_107729,c_108260,c_108678,c_112455,c_112832,c_112884,c_112948,c_113009,c_113601,c_114255,c_114348,c_114986]) ).

tcf(c_114991,plain,
    ! [X0: $i] : ssPv1(skf2(X0)),
    inference(global_subsumption_just,[status(thm)],[c_114988,c_102,c_101,c_1028,c_24900,c_25478,c_49270,c_96153,c_112884,c_113601,c_114348,c_114988]) ).

tcf(c_115047,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv3(skf2(skf2(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_112271,c_114991]) ).

tcf(c_115195,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_114938]) ).

tcf(c_115196,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_115195,c_102,c_101,c_1024,c_1028,c_1561,c_4327,c_5538,c_7271,c_7612,c_7672,c_7682,c_7936,c_10579,c_10913,c_11525,c_15135,c_20148,c_22655,c_22906,c_24900,c_25478,c_28562,c_48122,c_49270,c_49820,c_55017,c_67040,c_70427,c_72358,c_76969,c_79252,c_96153,c_96860,c_96911,c_98288,c_100268,c_102570,c_105504,c_105520,c_107035,c_107729,c_108260,c_108248,c_108678,c_110751,c_112422,c_112455,c_112832,c_112884,c_112948,c_113009,c_113342,c_113578,c_113601,c_113940,c_113945,c_114255,c_114348,c_114793]) ).

tcf(c_115203,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_115196,c_113940]) ).

tcf(c_115207,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_115196,c_112795]) ).

tcf(c_115239,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_1503]) ).

tcf(c_115240,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1)
      | ~ ssRr(X0,X2) ),
    inference(global_subsumption_just,[status(thm)],[c_115239,c_102,c_101,c_1024,c_1028,c_1476,c_7086,c_7612,c_15036,c_24600,c_25478,c_34208,c_36030,c_41972,c_61814,c_73942,c_93755,c_101126,c_105952,c_106204,c_113099,c_113593,c_113945,c_114203,c_114780,c_114991]) ).

tcf(c_115241,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(renaming,[status(thm)],[c_115240]) ).

tcf(c_115247,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv2(skf3(X0))
      | ssPv1(skf3(skf3(X0)))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_115241]) ).

tcf(c_115253,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_101,c_115247]) ).

tcf(c_115280,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X1)
      | ssPv1(X2)
      | ssPv2(skf3(X1))
      | ssPv2(skf3(skf3(X1)))
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X2,X0)
      | ~ ssRr(X0,skf3(X1)) ),
    inference(superposition,[status(thm)],[c_115253,c_114645]) ).

tcf(c_115299,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv1(X0)
      | ssPv2(skf3(X1))
      | ssPv2(skf3(skf3(X1)))
      | ~ ssPv1(skf3(X1))
      | ~ ssRr(X0,skf3(skf3(X1))) ),
    inference(superposition,[status(thm)],[c_101,c_115280]) ).

tcf(c_115317,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ssPv1(skf3(skf3(skf3(X0))))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_115299]) ).

tcf(c_115319,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ssPv2(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_115317,c_102,c_101,c_1024,c_1028,c_1476,c_1561,c_1673,c_2998,c_3464,c_5538,c_6143,c_7271,c_7612,c_7650,c_7672,c_10579,c_10913,c_11525,c_14949,c_15135,c_19709,c_20148,c_20164,c_21593,c_22655,c_22906,c_24900,c_25478,c_27403,c_28562,c_31472,c_35434,c_43195,c_45150,c_48122,c_49270,c_49820,c_52207,c_65828,c_66982,c_67040,c_67772,c_70427,c_72358,c_76969,c_79252,c_92819,c_93755,c_96153,c_96860,c_96911,c_98288,c_98302,c_99783,c_100268,c_101841,c_102552,c_102570,c_103734,c_103755,c_103754,c_103779,c_105504,c_105506,c_105520,c_107729,c_108241,c_108260,c_108258,c_108678,c_110751,c_112422,c_112455,c_112601,c_112832,c_112884,c_112948,c_113009,c_113014,c_113099,c_113096,c_113601,c_113615,c_113937,c_114255,c_114348]) ).

tcf(c_115328,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_115319,c_113263]) ).

tcf(c_115400,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(X2)
      | ssPv3(skf2(X0))
      | ~ ssPv4(X1)
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X2,X0)
      | ~ ssRr(skf2(skf2(X0)),X1) ),
    inference(superposition,[status(thm)],[c_102,c_1526]) ).

tcf(c_115407,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(X1)
      | ssPv3(skf2(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X1,X0)
      | ~ ssPv4(skf2(skf2(skf2(X0)))) ),
    inference(superposition,[status(thm)],[c_102,c_115400]) ).

tcf(c_115427,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv4(X1)
      | ssPv3(skf2(X0))
      | ~ ssPv4(skf2(X0))
      | ~ ssRr(X1,X0)
      | ~ ssPv2(skf2(skf2(X0)))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_112635,c_115407]) ).

tcf(c_115440,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv1(X2)
      | ssPv4(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_9955]) ).

tcf(c_115442,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ~ ssRr(skf3(X0),X1)
      | ssPv1(skf3(X0))
      | ssPv4(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_115440,c_1024,c_1476,c_5223,c_5371,c_6570,c_43634,c_44583,c_51473,c_60156,c_99780,c_108307,c_113017,c_113099,c_113921,c_113945,c_114049,c_114520,c_114521,c_114792]) ).

tcf(c_115443,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv4(skf2(X0))
      | ssPv1(skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(renaming,[status(thm)],[c_115442]) ).

tcf(c_115445,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ~ ssRr(skf3(X0),X1)
      | ssPv1(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_115443,c_102,c_101,c_1024,c_1028,c_1476,c_1561,c_1673,c_2998,c_4750,c_5538,c_6452,c_6570,c_7052,c_7271,c_7612,c_7672,c_9637,c_10579,c_10913,c_11525,c_14956,c_15135,c_20148,c_22655,c_22906,c_23890,c_24900,c_25478,c_28562,c_43497,c_46396,c_46576,c_48122,c_49270,c_49820,c_51473,c_51504,c_61077,c_67040,c_70427,c_72358,c_76969,c_79252,c_84983,c_96153,c_96860,c_96911,c_98288,c_100268,c_102570,c_105520,c_105969,c_107729,c_108209,c_108260,c_108307,c_108678,c_110751,c_112455,c_112832,c_112884,c_112948,c_113009,c_113601,c_114191,c_114255,c_114348,c_114520,c_114521,c_114792,c_115443]) ).

tcf(c_115446,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv1(skf3(X0))
      | ~ ssRr(skf3(X0),X1) ),
    inference(renaming,[status(thm)],[c_115445]) ).

tcf(c_115451,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_115446]) ).

tcf(c_115473,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv2(skf3(X1))
      | ~ ssPv2(X1)
      | ~ ssPv3(skf2(X1))
      | ~ ssPv3(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_113676,c_102,c_101,c_1024,c_1028,c_1059,c_1476,c_1561,c_1673,c_2998,c_3464,c_5538,c_5842,c_6143,c_7246,c_7271,c_7612,c_7650,c_7672,c_8538,c_9109,c_10579,c_10913,c_11525,c_14515,c_14949,c_15135,c_15242,c_19709,c_20148,c_20164,c_22257,c_22655,c_22906,c_24900,c_25314,c_25478,c_27403,c_28562,c_29604,c_31472,c_35434,c_37264,c_39632,c_43195,c_45150,c_47773,c_48122,c_48798,c_49270,c_49820,c_52207,c_65189,c_65828,c_66982,c_67040,c_67772,c_70427,c_72358,c_76969,c_79252,c_92819,c_93755,c_96153,c_96521,c_96860,c_96911,c_98288,c_100268,c_101841,c_102552,c_102570,c_103734,c_103755,c_103754,c_103779,c_105520,c_107729,c_108241,c_108260,c_108258,c_108678,c_110751,c_111576,c_112422,c_112455,c_112601,c_112832,c_112884,c_112948,c_113009,c_113096,c_113476,c_113601,c_113676,c_113937,c_114255,c_114348]) ).

tcf(c_115482,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_115473]) ).

tcf(c_115486,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_115482,c_102,c_101,c_1024,c_1028,c_1561,c_5538,c_7271,c_7612,c_7672,c_10579,c_10913,c_11525,c_15135,c_20148,c_22655,c_22906,c_24900,c_25478,c_28562,c_48122,c_49270,c_49780,c_49820,c_67040,c_70427,c_72358,c_76969,c_79252,c_88569,c_96153,c_96860,c_96911,c_98288,c_100268,c_102570,c_105520,c_105953,c_107729,c_108260,c_108678,c_110751,c_112455,c_112832,c_112884,c_112948,c_113009,c_113601,c_114203,c_114255,c_114348,c_115203,c_115451]) ).

tcf(c_115489,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_115486,c_102,c_101,c_1024,c_1028,c_1561,c_5538,c_6571,c_7271,c_7612,c_7672,c_8538,c_10579,c_10913,c_11525,c_15135,c_20148,c_22655,c_22906,c_24900,c_25478,c_25725,c_28562,c_48122,c_49270,c_49820,c_51830,c_67040,c_70427,c_72358,c_76969,c_79252,c_92459,c_92928,c_93321,c_96153,c_96860,c_96911,c_98288,c_100268,c_101126,c_102570,c_105520,c_105997,c_107729,c_108260,c_108678,c_110751,c_112455,c_112832,c_112884,c_112948,c_113009,c_113580,c_113601,c_114203,c_114255,c_114274,c_114348,c_114793,c_114879,c_115486]) ).

tcf(c_115497,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_4531,c_115489]) ).

tcf(c_115570,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X0)
      | ssPv4(X1)
      | ~ ssRr(X1,X0)
      | ~ ssPv4(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_115427,c_102,c_101,c_1024,c_1028,c_1476,c_1561,c_3846,c_4251,c_4750,c_5538,c_7271,c_7612,c_7650,c_7672,c_10579,c_10913,c_11525,c_15135,c_20148,c_20164,c_21692,c_22655,c_22906,c_24900,c_25476,c_25478,c_27474,c_28562,c_31472,c_36617,c_37425,c_43140,c_45150,c_45219,c_48122,c_48507,c_49270,c_49820,c_50697,c_51220,c_65828,c_65840,c_66833,c_67040,c_70427,c_72358,c_76969,c_79252,c_93753,c_96152,c_96153,c_96860,c_96911,c_98288,c_100268,c_101841,c_102552,c_102570,c_105520,c_107729,c_108241,c_108260,c_108258,c_108678,c_110751,c_112422,c_112455,c_112601,c_112832,c_112884,c_112883,c_112948,c_113009,c_113601,c_114255,c_114348,c_114780,c_114879]) ).

tcf(c_115571,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv2(X1)
      | ssPv4(X0)
      | ~ ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_115570]) ).

tcf(c_115577,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv4(skf3(X0))
      | ~ ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_115571]) ).

tcf(c_115578,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf2(X0))
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_115571]) ).

tcf(c_115607,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv4(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssRr(X2,X1)
      | ~ ssPv4(skf2(skf2(X1)))
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_1590]) ).

tcf(c_115669,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv4(skf2(X0))
      | ~ ssPv3(X0)
      | ~ ssRr(X1,X0)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_115607]) ).

tcf(c_115670,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv4(skf2(X0))
      | ~ ssPv3(X0)
      | ~ ssRr(X1,X0) ),
    inference(global_subsumption_just,[status(thm)],[c_115669,c_102,c_101,c_1024,c_1028,c_1476,c_1561,c_5223,c_5371,c_5538,c_6570,c_7271,c_7612,c_7672,c_10579,c_10913,c_11525,c_15135,c_16299,c_20148,c_22655,c_22906,c_24900,c_25478,c_28562,c_38362,c_43634,c_44583,c_48122,c_49270,c_49820,c_51473,c_59911,c_60156,c_67040,c_70427,c_72358,c_76969,c_79252,c_96153,c_96860,c_96911,c_98288,c_99780,c_100268,c_102570,c_105520,c_107729,c_108260,c_108307,c_108678,c_110751,c_112455,c_112832,c_112884,c_112948,c_113009,c_113017,c_113099,c_113601,c_113921,c_113945,c_114049,c_114255,c_114348,c_114520,c_114521,c_114792,c_114970]) ).

tcf(c_115671,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv4(skf2(X1))
      | ~ ssPv3(X1)
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_115670]) ).

tcf(c_115673,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X0)
      | ssPv4(skf2(X1))
      | ~ ssRr(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_115671,c_102,c_101,c_1024,c_1028,c_1561,c_4206,c_5372,c_5538,c_5842,c_7271,c_7612,c_7650,c_7672,c_10579,c_10913,c_11525,c_11705,c_12964,c_15135,c_20148,c_20164,c_22655,c_22906,c_24826,c_24900,c_25019,c_25478,c_28562,c_31472,c_36587,c_43105,c_45150,c_48122,c_48121,c_49270,c_49565,c_49599,c_49768,c_49820,c_50662,c_53783,c_59177,c_61580,c_65828,c_67040,c_70427,c_72358,c_73117,c_76969,c_79252,c_92916,c_96153,c_96860,c_96911,c_98028,c_98288,c_100268,c_101841,c_101886,c_101894,c_102552,c_102570,c_105520,c_107729,c_108241,c_108260,c_108258,c_108304,c_108678,c_109990,c_109987,c_110751,c_111098,c_112359,c_112422,c_112455,c_112601,c_112832,c_112884,c_112948,c_113009,c_113336,c_113484,c_113601,c_114255,c_114348,c_114491,c_114780,c_114792,c_114793,c_115047,c_115671]) ).

tcf(c_115680,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_115673]) ).

tcf(c_115746,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv4(skf2(X1))
      | ~ ssPv2(X0)
      | ~ ssPv4(X2)
      | ~ ssRr(X2,X1)
      | ~ ssPv4(skf2(skf2(X1)))
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_3068]) ).

tcf(c_115763,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(X1)
      | ~ ssRr(X1,X0)
      | ~ ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_115746]) ).

tcf(c_115771,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv1(X1)
      | ssPv4(skf2(X1))
      | ~ ssPv2(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_115680,c_115763]) ).

tcf(c_115773,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv4(skf2(X1))
      | ~ ssPv2(X1)
      | ~ ssPv4(X1)
      | ~ ssPv4(X0)
      | ~ ssPv1(X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_113596,c_115763]) ).

tcf(c_115778,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf2(X1))
      | ssPv4(skf2(X1))
      | ~ ssPv2(X1)
      | ~ ssPv3(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_111593,c_115763]) ).

tcf(c_115857,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(skf2(X1))
      | ~ ssPv3(X2)
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X1))
      | ~ ssRr(X2,X1)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_3106]) ).

tcf(c_115864,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf2(X1))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf2(X1))
      | ~ ssPv4(skf3(X1))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_115857]) ).

tcf(c_115865,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf2(skf2(X1)))
      | ~ ssPv3(X0)
      | ~ ssPv4(X1)
      | ~ ssPv2(skf2(skf2(X1)))
      | ~ ssRr(X0,skf2(X1)) ),
    inference(superposition,[status(thm)],[c_102,c_115857]) ).

tcf(c_115871,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ~ ssPv2(skf2(X0))
      | ~ ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_115864]) ).

tcf(c_115873,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf2(X1))
      | ssPv4(skf2(X1))
      | ~ ssPv2(X1)
      | ~ ssRr(X0,X1)
      | ~ ssPv4(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_115778,c_102,c_101,c_1024,c_1028,c_1166,c_1349,c_1561,c_3091,c_3837,c_4383,c_5538,c_6873,c_7085,c_7271,c_7612,c_7672,c_8418,c_9375,c_10579,c_10913,c_11525,c_12761,c_14450,c_15135,c_19278,c_19890,c_20148,c_22655,c_22670,c_22906,c_23454,c_24826,c_24900,c_24902,c_25019,c_25478,c_25725,c_28562,c_31720,c_43105,c_45412,c_46697,c_48122,c_48472,c_49270,c_49820,c_50644,c_51033,c_65502,c_65836,c_67040,c_70427,c_70727,c_72358,c_76969,c_79252,c_88569,c_92930,c_96153,c_96289,c_96860,c_96911,c_97516,c_98288,c_99873,c_100268,c_101843,c_102570,c_102579,c_105520,c_106548,c_107729,c_108260,c_108672,c_108678,c_110751,c_112455,c_112832,c_112884,c_112948,c_113009,c_113336,c_113476,c_113601,c_114209,c_114255,c_114348,c_115673,c_115771,c_115773]) ).

tcf(c_115874,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf2(X1))
      | ssPv4(skf2(X1))
      | ~ ssPv2(X1)
      | ~ ssPv4(X0)
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_115873]) ).

tcf(c_115880,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_115874]) ).

tcf(c_115881,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(skf2(X0)))
      | ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_115874]) ).

tcf(c_115922,plain,
    ! [X0: $i] :
      ( ~ ssPv4(skf3(X0))
      | ssPv4(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_115880,c_102,c_101,c_1024,c_1028,c_1476,c_1561,c_5223,c_5371,c_5538,c_6570,c_7271,c_7612,c_7672,c_10579,c_10913,c_11525,c_15135,c_20148,c_22655,c_22906,c_24900,c_25478,c_28562,c_43634,c_44583,c_48122,c_49270,c_49820,c_51473,c_60156,c_67040,c_70427,c_72358,c_76969,c_79252,c_96153,c_96860,c_96911,c_98288,c_99780,c_100268,c_102570,c_105520,c_107729,c_108260,c_108307,c_108678,c_110751,c_112455,c_112832,c_112884,c_112948,c_113009,c_113017,c_113099,c_113601,c_113921,c_113945,c_114049,c_114255,c_114348,c_114520,c_114521,c_114792]) ).

tcf(c_115923,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(renaming,[status(thm)],[c_115922]) ).

tcf(c_115929,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_114085,c_115923]) ).

tcf(c_115949,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0))
      | ssPv3(skf2(skf3(skf3(X0))))
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(skf3(skf3(X0))))
      | ~ ssPv4(skf3(skf3(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_4530,c_115871]) ).

tcf(c_115953,plain,
    ! [X0: $i] :
      ( ~ ssPv4(X0)
      | ssPv4(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_115881,c_102,c_1028,c_1166,c_1349,c_3091,c_3837,c_7085,c_8418,c_9375,c_10579,c_12761,c_14450,c_19278,c_22670,c_23454,c_24902,c_25019,c_43105,c_45412,c_46697,c_48472,c_50644,c_51033,c_65502,c_65836,c_92930,c_96289,c_99873,c_101843,c_102579,c_108672,c_115680]) ).

tcf(c_115954,plain,
    ! [X0: $i] :
      ( ssPv4(skf2(skf2(X0)))
      | ~ ssPv4(X0) ),
    inference(renaming,[status(thm)],[c_115953]) ).

tcf(c_115992,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_115865]) ).

tcf(c_115993,plain,
    ! [X0: $i] :
      ( ~ ssPv2(skf2(skf2(X0)))
      | ~ ssPv4(X0)
      | ~ ssPv3(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_115992,c_102,c_101,c_1024,c_1028,c_1476,c_1562,c_1561,c_1673,c_4251,c_4750,c_5538,c_7271,c_7612,c_7650,c_7672,c_10579,c_10913,c_11525,c_15135,c_19587,c_20148,c_20164,c_21692,c_22655,c_22906,c_24900,c_25476,c_25478,c_27474,c_28562,c_31472,c_36617,c_37425,c_43140,c_45150,c_45219,c_48122,c_48507,c_49270,c_49820,c_50697,c_51220,c_54569,c_65828,c_65840,c_66833,c_67040,c_70427,c_72358,c_76969,c_79252,c_93753,c_96152,c_96153,c_96860,c_96911,c_98288,c_100268,c_101841,c_102552,c_102570,c_105520,c_107729,c_108241,c_108260,c_108258,c_108678,c_109966,c_109987,c_110751,c_110750,c_112422,c_112455,c_112601,c_112801,c_112832,c_112884,c_112883,c_112948,c_113009,c_113601,c_114255,c_114348,c_114780]) ).

tcf(c_115994,plain,
    ! [X0: $i] :
      ( ~ ssPv3(X0)
      | ~ ssPv4(X0)
      | ~ ssPv2(skf2(skf2(X0))) ),
    inference(renaming,[status(thm)],[c_115993]) ).

tcf(c_116242,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv4(X3)
      | ssPv4(X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1)
      | ~ ssPv2(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_3421]) ).

tcf(c_116250,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv4(X3)
      | ssPv4(X0)
      | ssPv3(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_114274,c_116242]) ).

tcf(c_116253,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv4(X3)
      | ssPv4(X0)
      | ssPv2(skf3(X0))
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_115319,c_116242]) ).

tcf(c_116257,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv2(X0)
      | ssPv3(X2)
      | ssPv4(X3)
      | ssPv4(X0)
      | ssPv3(skf2(skf2(X0)))
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_112765,c_116242]) ).

tcf(c_116260,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv4(X3)
      | ssPv2(skf3(X0))
      | ssPv3(skf2(X0))
      | ssPv4(skf3(X0))
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf3(X0),X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_112777,c_116242]) ).

tcf(c_116263,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv3(X0)
      | ssPv4(X3)
      | ssPv2(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ~ ssRr(X1,X3)
      | ~ ssRr(skf3(skf3(X0)),X2)
      | ~ ssRr(skf3(skf3(X0)),X1) ),
    inference(superposition,[status(thm)],[c_112776,c_116242]) ).

tcf(c_116277,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ~ ssPv3(X2)
      | ~ ssPv4(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X2)
      | ~ ssPv1(skf3(skf3(X0)))
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_3332]) ).

tcf(c_116284,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssPv3(X1)
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_101,c_116277]) ).

tcf(c_116285,plain,
    ! [X0: $i,X1: $i] :
      ( ~ ssPv3(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(skf3(X0)))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_116277]) ).

tcf(c_116286,plain,
    ! [X0: $i] :
      ( ~ ssPv1(skf3(skf3(X0)))
      | ~ ssPv4(skf3(X0))
      | ~ ssPv4(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_116284,c_102,c_101,c_1028,c_1561,c_5538,c_7271,c_10913,c_11525,c_12964,c_15135,c_20148,c_22655,c_22906,c_24900,c_28562,c_36587,c_48122,c_53783,c_54688,c_59177,c_66833,c_70427,c_79252,c_92916,c_101886,c_102570,c_108678,c_111098,c_112359,c_114520,c_114879,c_114886,c_115923]) ).

tcf(c_116287,plain,
    ! [X0: $i] :
      ( ~ ssPv4(X0)
      | ~ ssPv4(skf3(X0))
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(renaming,[status(thm)],[c_116286]) ).

tcf(c_116292,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_115451,c_116287]) ).

tcf(c_116295,plain,
    ! [X0: $i] :
      ( ssPv1(X0)
      | ~ ssPv4(X0)
      | ~ ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_114780,c_116287]) ).

tcf(c_116315,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(skf3(X0))
      | ~ ssPv3(X1)
      | ~ ssPv4(skf3(X0))
      | ~ ssRr(X0,X1)
      | ~ ssPv4(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_115451,c_116285]) ).

tcf(c_116403,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ~ ssPv4(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_116315,c_102,c_101,c_1024,c_1028,c_1476,c_1561,c_1673,c_4750,c_5538,c_6217,c_7052,c_7271,c_7612,c_7672,c_9637,c_10579,c_10913,c_11525,c_15135,c_20148,c_22655,c_22906,c_24900,c_24952,c_25478,c_28562,c_34641,c_43274,c_43497,c_46396,c_48122,c_49270,c_49820,c_65828,c_67040,c_70427,c_72358,c_76969,c_79252,c_95278,c_96153,c_96429,c_96860,c_96911,c_98288,c_100268,c_102570,c_105520,c_107729,c_108260,c_108248,c_108678,c_110751,c_112455,c_112832,c_112884,c_112948,c_113009,c_113601,c_114255,c_114348,c_114811,c_115923,c_116292]) ).

tcf(c_116408,plain,
    ! [X0: $i] :
      ( ssPv3(skf3(X0))
      | ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_113009,c_116403]) ).

tcf(c_116410,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_114085,c_116403]) ).

tcf(c_116411,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X0))
      | ~ ssPv1(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_112654,c_116403]) ).

tcf(c_116412,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_115196,c_116403]) ).

tcf(c_116413,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv3(X0)
      | ~ ssPv1(skf3(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_112653,c_116403]) ).

tcf(c_116422,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ~ ssRr(X1,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1)
      | ssPv4(X0)
      | ssPv4(X3)
      | ssPv3(X2) ),
    inference(global_subsumption_just,[status(thm)],[c_116257,c_7963,c_65261,c_113940,c_115253,c_116253,c_116250,c_116412]) ).

tcf(c_116423,plain,
    ! [X0: $i,X1: $i,X2: $i,X3: $i] :
      ( ssPv3(X2)
      | ssPv4(X3)
      | ssPv4(X0)
      | ~ ssRr(X1,X3)
      | ~ ssRr(X0,X2)
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_116422]) ).

tcf(c_116431,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X1)
      | ssPv4(X2)
      | ssPv4(skf3(X0))
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf3(X0),X1) ),
    inference(superposition,[status(thm)],[c_101,c_116423]) ).

tcf(c_116432,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv3(X2)
      | ssPv4(X1)
      | ssPv4(X0)
      | ~ ssRr(X0,X2)
      | ~ ssRr(skf2(X0),X1) ),
    inference(superposition,[status(thm)],[c_102,c_116423]) ).

tcf(c_116433,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_115949,c_102,c_101,c_1024,c_1028,c_1476,c_1561,c_1673,c_5538,c_7271,c_7612,c_7672,c_10579,c_10913,c_11525,c_15135,c_19587,c_19835,c_20148,c_22655,c_22906,c_24900,c_25478,c_27403,c_27543,c_28562,c_48122,c_49270,c_49820,c_57672,c_67040,c_70427,c_72358,c_76969,c_79252,c_96153,c_96860,c_96911,c_98288,c_99780,c_100268,c_102570,c_105520,c_106230,c_107729,c_108260,c_108678,c_109987,c_110751,c_110750,c_112455,c_112801,c_112832,c_112854,c_112884,c_112948,c_113009,c_113601,c_114255,c_114348,c_114780,c_114793,c_116295,c_116403,c_116408,c_116410]) ).

tcf(c_116455,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv4(X0)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_102,c_116432]) ).

tcf(c_116456,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ~ ssRr(X0,X1)
      | ssPv4(skf2(skf2(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_116455,c_101,c_1024,c_1476,c_1673,c_19587,c_27403,c_57672,c_109987,c_110750,c_112801,c_113009,c_113596,c_114780,c_114793,c_116295,c_116410,c_116455]) ).

tcf(c_116457,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X1)
      | ssPv4(skf2(skf2(X0)))
      | ~ ssRr(X0,X1) ),
    inference(renaming,[status(thm)],[c_116456]) ).

tcf(c_116462,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(skf2(skf3(X0)))) ),
    inference(superposition,[status(thm)],[c_101,c_116457]) ).

tcf(c_116463,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(X0))
      | ssPv4(skf2(skf2(X0))) ),
    inference(superposition,[status(thm)],[c_102,c_116457]) ).

tcf(c_116472,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf3(X0))
      | ssPv2(skf2(skf3(X0))) ),
    inference(superposition,[status(thm)],[c_116462,c_115578]) ).

tcf(c_116487,plain,
    ! [X0: $i,X1: $i,X2: $i] :
      ( ssPv1(X2)
      | ssPv1(X0)
      | ssPv3(skf2(X0))
      | ~ ssPv2(X0)
      | ~ ssRr(X1,X2)
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_116463,c_114611]) ).

tcf(c_116496,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv4(X1)
      | ssPv4(skf3(X0))
      | ~ ssRr(X0,X1) ),
    inference(superposition,[status(thm)],[c_101,c_116431]) ).

tcf(c_116499,plain,
    ! [X0: $i,X1: $i] :
      ( ssPv3(X0)
      | ssPv4(X1)
      | ~ ssRr(X0,X1) ),
    inference(global_subsumption_just,[status(thm)],[c_116496,c_102,c_101,c_1024,c_1028,c_1561,c_5538,c_7271,c_7612,c_7672,c_10579,c_10913,c_11525,c_15135,c_19890,c_20148,c_22655,c_22906,c_24900,c_25478,c_28562,c_48122,c_49270,c_49820,c_67040,c_70427,c_72358,c_76969,c_79252,c_96153,c_96860,c_96911,c_98288,c_100268,c_102570,c_105520,c_107729,c_108260,c_108678,c_110751,c_112455,c_112832,c_112884,c_112948,c_113009,c_113601,c_114255,c_114348,c_115451,c_116496]) ).

tcf(c_116504,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv3(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_101,c_116499]) ).

tcf(c_116505,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv4(skf2(X0)) ),
    inference(superposition,[status(thm)],[c_102,c_116499]) ).

tcf(c_116513,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(X0))
      | ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_116504,c_115489]) ).

tcf(c_116528,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0)
      | ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_116505,c_115577]) ).

tcf(c_116569,plain,
    ! [X0: $i] : ssPv1(X0),
    inference(global_subsumption_just,[status(thm)],[c_116487,c_101,c_1024,c_1476,c_1673,c_19587,c_27403,c_57672,c_109987,c_110750,c_112801,c_113009,c_114780,c_114793,c_116295,c_116410]) ).

tcf(c_116574,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv3(skf3(skf3(skf3(X0))))
      | ~ ssPv3(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_116413,c_116569]) ).

tcf(c_116575,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf3(skf3(X0)))
      | ~ ssPv3(skf2(X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_116411,c_116569]) ).

tcf(c_116579,plain,
    ! [X0: $i] :
      ( ~ ssPv4(X0)
      | ~ ssPv4(skf3(X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_116287,c_116569]) ).

tcf(c_116606,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv2(X0)
      | ~ ssPv4(X0)
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_114097,c_116569]) ).

tcf(c_116638,plain,
    ! [X0: $i] :
      ( ssPv4(skf3(X0))
      | ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(X0) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_112801,c_116569]) ).

tcf(c_116645,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv2(skf3(X0))
      | ~ ssPv3(skf2(X0)) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_112800,c_116569]) ).

tcf(c_116659,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf3(skf3(skf3(X0)))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_8684,c_116569]) ).

tcf(c_116661,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ~ ssPv2(X0)
      | ~ ssPv3(skf2(X0))
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_8521,c_116569]) ).

tcf(c_116664,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ~ ssPv2(skf3(X0))
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(X0)))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_7963,c_116569]) ).

tcf(c_116690,plain,
    ! [X0: $i] :
      ( ~ ssPv2(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv4(skf3(skf3(X0))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_1547,c_116569]) ).

tcf(c_116828,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(X0))
      | ssPv3(skf2(X0)) ),
    inference(global_subsumption_just,[status(thm)],[c_116260,c_102,c_101,c_1024,c_1028,c_1166,c_1476,c_1561,c_1673,c_2184,c_2998,c_3091,c_3464,c_3837,c_4729,c_5538,c_6143,c_7085,c_7271,c_7612,c_7650,c_7672,c_7830,c_8538,c_10579,c_10913,c_11525,c_13524,c_14949,c_15135,c_15160,c_16579,c_19587,c_19709,c_20148,c_20164,c_22655,c_22906,c_24900,c_25478,c_26235,c_26646,c_27403,c_28562,c_31472,c_35434,c_43140,c_43195,c_45150,c_48122,c_48768,c_49270,c_49820,c_50475,c_51220,c_52207,c_53837,c_54998,c_55017,c_55015,c_55014,c_55011,c_57672,c_65828,c_66982,c_67040,c_67772,c_69071,c_69167,c_70427,c_72358,c_72355,c_76969,c_79252,c_92819,c_93755,c_96152,c_96153,c_96281,c_96860,c_96911,c_98288,c_100268,c_100265,c_101126,c_101841,c_102552,c_102570,c_103734,c_103755,c_103754,c_103779,c_104372,c_105520,c_105953,c_106581,c_107729,c_108241,c_108260,c_108258,c_108678,c_109987,c_110751,c_110750,c_112131,c_112422,c_112455,c_112601,c_112801,c_112832,c_112884,c_112948,c_112954,c_113009,c_113096,c_113601,c_113721,c_113880,c_113937,c_113945,c_114046,c_114255,c_114348,c_114780,c_114793,c_116295,c_116410,c_116433,c_116463]) ).

tcf(c_116886,plain,
    ! [X0: $i] :
      ( ssPv2(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0)))
      | ssPv3(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_116263,c_102,c_101,c_1024,c_1028,c_1561,c_4206,c_5372,c_5538,c_7271,c_7612,c_7672,c_10579,c_10913,c_11525,c_11705,c_12964,c_15135,c_20148,c_22655,c_22906,c_24826,c_24900,c_25019,c_25478,c_28562,c_36587,c_43105,c_43490,c_48122,c_48121,c_49270,c_49565,c_49599,c_49768,c_49820,c_50662,c_53783,c_59177,c_61580,c_67040,c_70427,c_72358,c_76969,c_79252,c_92916,c_96153,c_96860,c_96911,c_98028,c_98288,c_100268,c_101886,c_102570,c_105520,c_107729,c_108260,c_108304,c_108678,c_110751,c_111098,c_112359,c_112455,c_112832,c_112884,c_112948,c_113009,c_113484,c_113601,c_114255,c_114348,c_115207,c_115328,c_115451]) ).

tcf(c_116887,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0)))
      | ssPv4(skf3(skf3(X0))) ),
    inference(renaming,[status(thm)],[c_116886]) ).

tcf(c_116889,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ssPv2(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_116887,c_102,c_101,c_1024,c_1028,c_1476,c_1561,c_1673,c_2139,c_5537,c_5538,c_7271,c_7612,c_7672,c_10579,c_10913,c_11525,c_15135,c_19278,c_19587,c_20146,c_20148,c_20223,c_22655,c_22906,c_24900,c_25478,c_27403,c_28562,c_28561,c_29606,c_43490,c_43497,c_48122,c_48121,c_49270,c_49820,c_57672,c_67040,c_70427,c_72358,c_76969,c_79252,c_96153,c_96860,c_96911,c_98288,c_99793,c_100268,c_102552,c_102570,c_105520,c_107729,c_108260,c_108678,c_109987,c_110751,c_110750,c_112455,c_112801,c_112832,c_112884,c_112948,c_113009,c_113601,c_114203,c_114255,c_114348,c_114780,c_114793,c_115319,c_115451,c_116295,c_116410,c_116472,c_116579,c_116638,c_116574,c_116659,c_116887]) ).

tcf(c_116892,plain,
    ! [X0: $i] : ssPv2(skf3(skf3(X0))),
    inference(global_subsumption_just,[status(thm)],[c_116889,c_115319,c_116579,c_116638,c_116574,c_116659,c_116889]) ).

tcf(c_116978,plain,
    ! [X0: $i] :
      ( ssPv2(X0)
      | ssPv3(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_116528,c_102,c_101,c_1024,c_1028,c_1476,c_1561,c_1673,c_2139,c_5537,c_5538,c_6873,c_7271,c_7612,c_7672,c_10579,c_10913,c_11525,c_15135,c_19278,c_19587,c_20146,c_20148,c_20223,c_22655,c_22906,c_24900,c_25478,c_27403,c_28562,c_28561,c_29606,c_43490,c_43497,c_48122,c_48121,c_49270,c_49820,c_57672,c_67040,c_70427,c_72358,c_76969,c_79252,c_96153,c_96860,c_96911,c_98288,c_99793,c_100268,c_102552,c_102570,c_105520,c_107729,c_108260,c_108678,c_109987,c_110751,c_110750,c_112455,c_112801,c_112832,c_112884,c_112948,c_113009,c_113601,c_114203,c_114255,c_114348,c_114780,c_114793,c_115319,c_115451,c_115497,c_116295,c_116410,c_116472,c_116505,c_116579,c_116638,c_116574,c_116659,c_116887]) ).

tcf(c_116986,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(skf2(X0)))
      | ~ ssPv3(X0)
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_116978,c_115994]) ).

tcf(c_117010,plain,
    ! [X0: $i] : ssPv2(skf3(X0)),
    inference(global_subsumption_just,[status(thm)],[c_116513,c_101,c_1024,c_1476,c_1673,c_7612,c_19587,c_27403,c_57672,c_109987,c_110750,c_112801,c_113009,c_114780,c_114793,c_115489,c_116295,c_116410,c_116579,c_116645,c_116575,c_116661,c_116828,c_116986]) ).

tcf(c_117016,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ~ ssPv3(skf3(skf3(X0)))
      | ~ ssPv3(skf3(skf3(skf3(X0)))) ),
    inference(backward_subsumption_resolution,[status(thm)],[c_116664,c_117010]) ).

tcf(c_117050,plain,
    ! [X0: $i] :
      ( ssPv3(X0)
      | ~ ssPv4(X0) ),
    inference(global_subsumption_just,[status(thm)],[c_115929,c_102,c_101,c_1024,c_1028,c_1476,c_1561,c_1673,c_2139,c_5537,c_5538,c_6873,c_7271,c_7612,c_7672,c_10579,c_10913,c_11525,c_15135,c_19278,c_19587,c_20146,c_20148,c_20223,c_22655,c_22906,c_24900,c_25478,c_27403,c_28562,c_28561,c_29606,c_43490,c_43497,c_48122,c_48121,c_49270,c_49820,c_57672,c_67040,c_70427,c_72358,c_76969,c_79252,c_96153,c_96860,c_96911,c_98288,c_99793,c_100268,c_102552,c_102570,c_105520,c_107729,c_108260,c_108678,c_109987,c_110751,c_110750,c_112455,c_112801,c_112832,c_112884,c_112948,c_113009,c_113601,c_114203,c_114255,c_114348,c_114780,c_114793,c_115319,c_115451,c_115497,c_116295,c_116410,c_116472,c_116505,c_116579,c_116638,c_116574,c_116606,c_116659,c_116887]) ).

tcf(c_117059,plain,
    ! [X0: $i] :
      ( ssPv3(skf2(skf2(X0)))
      | ~ ssPv4(X0) ),
    inference(superposition,[status(thm)],[c_115954,c_117050]) ).

tcf(c_117104,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ~ ssPv3(skf3(skf3(X0))) ),
    inference(global_subsumption_just,[status(thm)],[c_115203,c_116412,c_117016]) ).

tcf(c_117109,plain,
    ! [X0: $i] :
      ( ssPv4(X0)
      | ssPv4(skf3(X0)) ),
    inference(superposition,[status(thm)],[c_116504,c_117104]) ).

tcf(c_117219,plain,
    ! [X0: $i] : ~ ssPv4(skf3(skf3(X0))),
    inference(global_subsumption_just,[status(thm)],[c_114208,c_1024,c_1476,c_1673,c_7612,c_14949,c_24951,c_43195,c_113940,c_116569,c_116579,c_116690,c_116892,c_117010,c_117059]) ).

tcf(c_117239,plain,
    ! [X0: $i] : ssPv4(skf3(X0)),
    inference(superposition,[status(thm)],[c_117109,c_117219]) ).

tcf(c_117240,plain,
    $false,
    inference(backward_subsumption_resolution,[status(thm)],[c_117219,c_117239]) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02  % Problem  : SYN802-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.04  % Command  : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.36  % Computer : n006.cluster.edu
% 0.10/0.36  % Model    : x86_64 x86_64
% 0.10/0.36  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36  % Memory   : 8046.5625MB
% 0.10/0.36  % OS       : Linux 6.8.0-71-generic
% 0.10/0.36  % CPULimit : 300
% 0.10/0.36  % WCLimit  : 300
% 0.10/0.36  % DateTime : Fri Sep 25 02:18:41 UTC 2026
% 0.10/0.37  % CPUTime  : 
% 0.10/0.37  Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.10/0.40  Running first-order theorem proving
% 0.10/0.41  Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.10/0.42  
% 0.10/0.42  % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42  
% 0.10/0.42  % Detected problem language: tptp
% 0.10/0.43  % Proving...
% 52.38/12.36  % SZS status Started for theBenchmark.p
% 52.38/12.36  % SZS status Unsatisfiable for theBenchmark.p
% 52.38/12.36  
% 52.38/12.36  %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 52.38/12.36  
% 52.38/12.36  % ------  iProver source info
% 52.38/12.36  
% 52.38/12.36  % git: date: 2026-07-19 20:42:38 +0200
% 52.38/12.36  % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 52.38/12.36  % git: non_committed_changes: false
% 52.38/12.36  
% 52.38/12.36  % ------ Parsing...% successful
% 52.38/12.36  
% 52.38/12.36  
% 52.38/12.36  % ------ Clausification by vclausify_rel  & Parsing by iProver...% 
% 52.38/12.36  
% 52.38/12.36  % ------ Preprocessing... sf_s  rm: 0 0s  sf_e  pe_s  pe_e % 
% 52.38/12.36  
% 52.38/12.36  % ------ Preprocessing... gs_s  sp: 0 0s  gs_e  snvd_s sp: 0 0s snvd_e 
% 52.38/12.36  % ------ Proving...
% 52.38/12.36  % ------ Problem Properties 
% 52.38/12.36  
% 52.38/12.36  % 
% 52.38/12.36  % clauses                               52
% 52.38/12.36  % conjectures                           52
% 52.38/12.36  % EPR                                   50
% 52.38/12.36  % Horn                                  11
% 52.38/12.36  % unary                                 2
% 52.38/12.36  % binary                                0
% 52.38/12.36  % lits                                  405
% 52.38/12.36  % lits eq                               0
% 52.38/12.36  % fd_pure                               0
% 52.38/12.36  % fd_pseudo                             0
% 52.38/12.36  % fd_cond                               0
% 52.38/12.36  % fd_pseudo_cond                        0
% 52.38/12.36  % AC symbols                            0
% 52.38/12.36  
% 52.38/12.36  % ------ Input Options Time Limit: Unbounded
% 52.38/12.36  
% 52.38/12.36  
% 52.38/12.36  % ------ 
% 52.38/12.36  % Current options:
% 52.38/12.36  % ------ 
% 52.38/12.36  
% 52.38/12.36  
% 52.38/12.36  % 
% 52.38/12.36  
% 52.38/12.36  % ------ Proving...
% 52.38/12.36  % 
% 52.38/12.36  
% 52.38/12.36  % SZS status Unsatisfiable for theBenchmark.p
% 52.38/12.36  
% 52.38/12.36  % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 84.12/12.42  
% 84.12/12.42  
%------------------------------------------------------------------------------