%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : ITP001+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n024.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Sat Jul 16 23:08:45 EDT 2022
% Result : Theorem 0.21s 0.59s
% Output : CNFRefutation 0.45s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named input)
% Comments :
%------------------------------------------------------------------------------
% Axioms transformation by autotheo
% Orienting (remaining) axiom formulas using strategy Equiv(ClausalAll)
% Orienting axioms whose shape is orientable
fof(thm_2Ebool_2EDATATYPE__TAG__DEF,axiom,
! [A_27a,V0x_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(A_27a,V0x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
input ).
fof(thm_2Ebool_2EDATATYPE__TAG__DEF_0,plain,
! [A_27a,V0x_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(A_27a,V0x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| $false ),
inference(orientation,[status(thm)],[thm_2Ebool_2EDATATYPE__TAG__DEF]) ).
fof(thm_2Ebool_2EBOUNDED__DEF,axiom,
! [V0x_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,V0x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
input ).
fof(thm_2Ebool_2EBOUNDED__DEF_0,plain,
! [V0x_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,V0x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| $false ),
inference(orientation,[status(thm)],[thm_2Ebool_2EBOUNDED__DEF]) ).
fof(thm_2Ebool_2ERES__EXISTS__DEF,axiom,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))
<=> ? [V2x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0)))) ) ),
input ).
fof(thm_2Ebool_2ERES__EXISTS__DEF_0,plain,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))
| ~ ? [V2x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0)))) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ERES__EXISTS__DEF]) ).
fof(thm_2Ebool_2ERES__EXISTS__DEF_1,plain,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))
| ? [V2x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0)))) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ERES__EXISTS__DEF]) ).
fof(thm_2Ebool_2ERES__FORALL__DEF,axiom,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))
<=> ! [V2x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0)))) ) ),
input ).
fof(thm_2Ebool_2ERES__FORALL__DEF_0,plain,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))
| ~ ! [V2x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0)))) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ERES__FORALL__DEF]) ).
fof(thm_2Ebool_2ERES__FORALL__DEF_1,plain,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))))
| ! [V2x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0)))) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ERES__FORALL__DEF]) ).
fof(thm_2Ebool_2EIN__DEF,axiom,
! [A_27a,V0x_2E0,V1x_27_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V0x_2E0))),
input ).
fof(thm_2Ebool_2EIN__DEF_0,plain,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V0x_2E0)))
| $false ),
inference(orientation,[status(thm)],[thm_2Ebool_2EIN__DEF]) ).
fof(thm_2Ebool_2Eliteral__case__DEF,axiom,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] : s(A_27b,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))),
input ).
fof(thm_2Ebool_2Eliteral__case__DEF_0,plain,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] :
( s(A_27b,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0)))
| $false ),
inference(orientation,[status(thm)],[thm_2Ebool_2Eliteral__case__DEF]) ).
fof(thm_2Ebool_2ETYPE__DEFINITION,axiom,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0))))
<=> ( ! [V2x_27_2E0,V3x_27_27_2E0] :
( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V2x_27_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V3x_27_27_2E0)))
=> s(A_27b,V2x_27_2E0) = s(A_27b,V3x_27_27_2E0) )
& ! [V4x_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V4x_2E0))))
<=> ? [V5x_27_2E0] : s(A_27a,V4x_2E0) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V5x_27_2E0))) ) ) ),
input ).
fof(thm_2Ebool_2ETYPE__DEFINITION_0,plain,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0))))
| ~ ( ! [V2x_27_2E0,V3x_27_27_2E0] :
( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V2x_27_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V3x_27_27_2E0)))
=> s(A_27b,V2x_27_2E0) = s(A_27b,V3x_27_27_2E0) )
& ! [V4x_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V4x_2E0))))
<=> ? [V5x_27_2E0] : s(A_27a,V4x_2E0) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V5x_27_2E0))) ) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ETYPE__DEFINITION]) ).
fof(thm_2Ebool_2ETYPE__DEFINITION_1,plain,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0))))
| ( ! [V2x_27_2E0,V3x_27_27_2E0] :
( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V2x_27_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V3x_27_27_2E0)))
=> s(A_27b,V2x_27_2E0) = s(A_27b,V3x_27_27_2E0) )
& ! [V4x_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V4x_2E0))))
<=> ? [V5x_27_2E0] : s(A_27a,V4x_2E0) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V5x_27_2E0))) ) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ETYPE__DEFINITION]) ).
fof(thm_2Ebool_2EONTO__DEF,axiom,
! [A_27a,A_27b,V0x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0))))
<=> ! [V1y_2E0] :
? [V2x_2E0] : s(A_27b,V1y_2E0) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x_2E0))) ),
input ).
fof(thm_2Ebool_2EONTO__DEF_0,plain,
! [A_27a,A_27b,V0x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0))))
| ~ ! [V1y_2E0] :
? [V2x_2E0] : s(A_27b,V1y_2E0) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x_2E0))) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EONTO__DEF]) ).
fof(thm_2Ebool_2EONTO__DEF_1,plain,
! [A_27a,A_27b,V0x_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0))))
| ! [V1y_2E0] :
? [V2x_2E0] : s(A_27b,V1y_2E0) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x_2E0))) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EONTO__DEF]) ).
fof(thm_2Ebool_2EONE__ONE__DEF,axiom,
! [A_27a,A_27b,V0x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0))))
<=> ! [V1x1_2E0,V2x2_2E0] :
( s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x2_2E0)))
=> s(A_27a,V1x1_2E0) = s(A_27a,V2x2_2E0) ) ),
input ).
fof(thm_2Ebool_2EONE__ONE__DEF_0,plain,
! [A_27a,A_27b,V0x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0))))
| ~ ! [V1x1_2E0,V2x2_2E0] :
( s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x2_2E0)))
=> s(A_27a,V1x1_2E0) = s(A_27a,V2x2_2E0) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EONE__ONE__DEF]) ).
fof(thm_2Ebool_2EONE__ONE__DEF_1,plain,
! [A_27a,A_27b,V0x_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0))))
| ! [V1x1_2E0,V2x2_2E0] :
( s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x2_2E0)))
=> s(A_27a,V1x1_2E0) = s(A_27a,V2x2_2E0) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EONE__ONE__DEF]) ).
fof(thm_2Ebool_2ELET__DEF,axiom,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] : s(A_27b,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))),
input ).
fof(thm_2Ebool_2ELET__DEF_0,plain,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] :
( s(A_27b,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0)))
| $false ),
inference(orientation,[status(thm)],[thm_2Ebool_2ELET__DEF]) ).
fof(thm_2Ebool_2EEXISTS__UNIQUE__DEF,axiom,
! [A_27a,V0x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
& ! [V1x_2E0,V2y_2E0] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V1x_2E0))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V2y_2E0)))) )
=> s(A_27a,V1x_2E0) = s(A_27a,V2y_2E0) ) ) ),
input ).
fof(thm_2Ebool_2EEXISTS__UNIQUE__DEF_0,plain,
! [A_27a,V0x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
& ! [V1x_2E0,V2y_2E0] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V1x_2E0))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V2y_2E0)))) )
=> s(A_27a,V1x_2E0) = s(A_27a,V2y_2E0) ) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EEXISTS__UNIQUE__DEF]) ).
fof(thm_2Ebool_2EEXISTS__UNIQUE__DEF_1,plain,
! [A_27a,V0x_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
| ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
& ! [V1x_2E0,V2y_2E0] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V1x_2E0))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V2y_2E0)))) )
=> s(A_27a,V1x_2E0) = s(A_27a,V2y_2E0) ) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EEXISTS__UNIQUE__DEF]) ).
fof(thm_2Ebool_2ENOT__DEF,axiom,
! [V0x_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,V0x_2E0))
<=> ( p(s(tyop_2Emin_2Ebool,V0x_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
input ).
fof(thm_2Ebool_2ENOT__DEF_0,plain,
! [V0x_2E0] :
( p(s(tyop_2Emin_2Ebool,V0x_2E0))
| ( p(s(tyop_2Emin_2Ebool,V0x_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ENOT__DEF]) ).
fof(thm_2Ebool_2ENOT__DEF_1,plain,
! [V0x_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,V0x_2E0))
| ~ ( p(s(tyop_2Emin_2Ebool,V0x_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ENOT__DEF]) ).
fof(thm_2Ebool_2EF__DEF,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
<=> ! [V0t_2E0] : p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
input ).
fof(thm_2Ebool_2EF__DEF_0,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ ! [V0t_2E0] : p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EF__DEF]) ).
fof(thm_2Ebool_2EF__DEF_1,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ! [V0t_2E0] : p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EF__DEF]) ).
fof(thm_2Ebool_2EEXISTS__DEF,axiom,
! [A_27a,V0x_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))),
input ).
fof(thm_2Ebool_2EEXISTS__DEF_0,plain,
! [A_27a,V0x_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))))
| $false ),
inference(orientation,[status(thm)],[thm_2Ebool_2EEXISTS__DEF]) ).
fof(thm_2Ebool_2EFORALL__DEF,axiom,
! [A_27a,V0x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
<=> ! [V1x_2E0] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V1x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
input ).
fof(thm_2Ebool_2EFORALL__DEF_0,plain,
! [A_27a,V0x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
| ~ ! [V1x_2E0] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V1x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EFORALL__DEF]) ).
fof(thm_2Ebool_2EFORALL__DEF_1,plain,
! [A_27a,V0x_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
| ! [V1x_2E0] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V1x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EFORALL__DEF]) ).
fof(thm_2Ebool_2ET__DEF,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
<=> ! [V0x_2E0] : s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,V0x_2E0) ),
input ).
fof(thm_2Ebool_2ET__DEF_0,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ ! [V0x_2E0] : s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,V0x_2E0) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ET__DEF]) ).
fof(thm_2Ebool_2ET__DEF_1,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ! [V0x_2E0] : s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,V0x_2E0) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ET__DEF]) ).
fof(thm_2Ebool_2ESELECT__AX,axiom,
! [A_27a,V0P_2E0,V1x_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,V1x_2E0))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0)))))) ),
input ).
fof(thm_2Ebool_2ESELECT__AX_0,plain,
! [A_27a,V0P_2E0,V1x_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,V1x_2E0))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0)))))) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ESELECT__AX]) ).
fof(thm_2Ebool_2EETA__AX,axiom,
! [A_27a,A_27b,V0M_2E0,V1x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0M_2E0),s(A_27a,V1x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0M_2E0),s(A_27a,V1x_2E0))),
input ).
fof(thm_2Ebool_2EETA__AX_0,plain,
! [A_27a,A_27b,V0M_2E0,V1x_2E0] :
( s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0M_2E0),s(A_27a,V1x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0M_2E0),s(A_27a,V1x_2E0)))
| $false ),
inference(orientation,[status(thm)],[thm_2Ebool_2EETA__AX]) ).
fof(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0,X2_2E0] : s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(A_27a,X1_2E0),s(A_27a,X2_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(A_27a,X1_2E0))),s(A_27a,X2_2E0))),
input ).
fof(arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a_0,plain,
! [A_27a,X0_2E0,X1_2E0,X2_2E0] :
( s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(A_27a,X1_2E0),s(A_27a,X2_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(A_27a,X1_2E0))),s(A_27a,X2_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a]) ).
fof(arityeq2_2Ec_2Ebool_2Eliteral__case_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a,A_27b,X0_2E0,X1_2E0] : s(A_27b,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(A_27a,X1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b)),c_2Ebool_2Eliteral__case_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(A_27a,X1_2E0))),
input ).
fof(arityeq2_2Ec_2Ebool_2Eliteral__case_2E2_2Emono_2EA_27a_20mono_2EA_27b_0,plain,
! [A_27a,A_27b,X0_2E0,X1_2E0] :
( s(A_27b,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(A_27a,X1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b)),c_2Ebool_2Eliteral__case_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(A_27a,X1_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2Eliteral__case_2E2_2Emono_2EA_27a_20mono_2EA_27b]) ).
fof(arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27b,A_27a),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27a),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27a),tyop_2Emin_2Ebool)),c_2Ebool_2ETYPE__DEFINITION_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,A_27a),X1_2E0))),
input ).
fof(arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2EA_27a_20mono_2EA_27b_0,plain,
! [A_27a,A_27b,X0_2E0,X1_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27b,A_27a),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27a),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27a),tyop_2Emin_2Ebool)),c_2Ebool_2ETYPE__DEFINITION_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,A_27a),X1_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2EA_27a_20mono_2EA_27b]) ).
fof(arityeq2_2Ec_2Ebool_2ERES__SELECT_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(A_27a,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a)),c_2Ebool_2ERES__SELECT_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
input ).
fof(arityeq2_2Ec_2Ebool_2ERES__SELECT_2E2_2Emono_2EA_27a_0,plain,
! [A_27a,X0_2E0,X1_2E0] :
( s(A_27a,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a)),c_2Ebool_2ERES__SELECT_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2ERES__SELECT_2E2_2Emono_2EA_27a]) ).
fof(arityeq2_2Ec_2Ebool_2ERES__FORALL_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__FORALL_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
input ).
fof(arityeq2_2Ec_2Ebool_2ERES__FORALL_2E2_2Emono_2EA_27a_0,plain,
! [A_27a,X0_2E0,X1_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__FORALL_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2ERES__FORALL_2E2_2Emono_2EA_27a]) ).
fof(arityeq2_2Ec_2Ebool_2ERES__EXISTS__UNIQUE_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS__UNIQUE_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
input ).
fof(arityeq2_2Ec_2Ebool_2ERES__EXISTS__UNIQUE_2E2_2Emono_2EA_27a_0,plain,
! [A_27a,X0_2E0,X1_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS__UNIQUE_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2ERES__EXISTS__UNIQUE_2E2_2Emono_2EA_27a]) ).
fof(arityeq2_2Ec_2Ebool_2ERES__EXISTS_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
input ).
fof(arityeq2_2Ec_2Ebool_2ERES__EXISTS_2E2_2Emono_2EA_27a_0,plain,
! [A_27a,X0_2E0,X1_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2ERES__EXISTS_2E2_2Emono_2EA_27a]) ).
fof(arityeq2_2Ec_2Ebool_2ELET_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a,A_27b,X0_2E0,X1_2E0] : s(A_27b,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(A_27a,X1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b)),c_2Ebool_2ELET_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(A_27a,X1_2E0))),
input ).
fof(arityeq2_2Ec_2Ebool_2ELET_2E2_2Emono_2EA_27a_20mono_2EA_27b_0,plain,
! [A_27a,A_27b,X0_2E0,X1_2E0] :
( s(A_27b,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(A_27a,X1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b)),c_2Ebool_2ELET_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(A_27a,X1_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2ELET_2E2_2Emono_2EA_27a_20mono_2EA_27b]) ).
fof(arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(A_27a,X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
input ).
fof(arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2EA_27a_0,plain,
! [A_27a,X0_2E0,X1_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(A_27a,X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2EA_27a]) ).
fof(arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind,axiom,
! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))),
input ).
fof(arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind_0,plain,
! [X0_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind]) ).
fof(arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a,A_27b,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),
input ).
fof(arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2EA_27a_20mono_2EA_27b_0,plain,
! [A_27a,A_27b,X0_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2EA_27a_20mono_2EA_27b]) ).
fof(arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind,axiom,
! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))),
input ).
fof(arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind_0,plain,
! [X0_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind]) ).
fof(arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a,A_27b,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),
input ).
fof(arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2EA_27a_20mono_2EA_27b_0,plain,
! [A_27a,A_27b,X0_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2EA_27a_20mono_2EA_27b]) ).
fof(arityeq1_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(A_27a,X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Ebool_2EDATATYPE_2E0),s(A_27a,X0_2E0))),
input ).
fof(arityeq1_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2EA_27a_0,plain,
! [A_27a,X0_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(A_27a,X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Ebool_2EDATATYPE_2E0),s(A_27a,X0_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2EA_27a]) ).
fof(arityeq1_2Ec_2Ebool_2EBOUNDED_2E1,axiom,
! [X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2EBOUNDED_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),
input ).
fof(arityeq1_2Ec_2Ebool_2EBOUNDED_2E1_0,plain,
! [X0_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2EBOUNDED_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2EBOUNDED_2E1]) ).
fof(arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a),c_2Emin_2E_40_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
input ).
fof(arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2EA_27a_0,plain,
! [A_27a,X0_2E0] :
( s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a),c_2Emin_2E_40_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2EA_27a]) ).
fof(arityeq1_2Ec_2Ebool_2E_3F_21_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
input ).
fof(arityeq1_2Ec_2Ebool_2E_3F_21_2E1_2Emono_2EA_27a_0,plain,
! [A_27a,X0_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2E_3F_21_2E1_2Emono_2EA_27a]) ).
fof(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
input ).
fof(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a_0,plain,
! [A_27a,X0_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a]) ).
fof(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
input ).
fof(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a_0,plain,
! [A_27a,X0_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a]) ).
fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a,axiom,
! [A_27a,X0_2E0,X1_2E0] :
( s(A_27a,X0_2E0) = s(A_27a,X1_2E0)
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
input ).
fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a_0,plain,
! [A_27a,X0_2E0,X1_2E0] :
( s(A_27a,X0_2E0) = s(A_27a,X1_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a]) ).
fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a_1,plain,
! [A_27a,X0_2E0,X1_2E0] :
( s(A_27a,X0_2E0) != s(A_27a,X1_2E0)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a]) ).
fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2,axiom,
! [X0_2E0,X1_2E0] :
( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
=> p(s(tyop_2Emin_2Ebool,X1_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
input ).
fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2_0,plain,
! [X0_2E0,X1_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
=> p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2]) ).
fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2_1,plain,
! [X0_2E0,X1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| ( p(s(tyop_2Emin_2Ebool,X0_2E0))
=> p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2]) ).
fof(arityeq1_2Ec_2Ebool_2E_7E_2E1,axiom,
! [X0_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,X0_2E0))
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))) ),
input ).
fof(arityeq1_2Ec_2Ebool_2E_7E_2E1_0,plain,
! [X0_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))))
| p(s(tyop_2Emin_2Ebool,X0_2E0)) ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2E_7E_2E1]) ).
fof(arityeq1_2Ec_2Ebool_2E_7E_2E1_1,plain,
! [X0_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,X0_2E0)) ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2E_7E_2E1]) ).
fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2,axiom,
! [X0_2E0,X1_2E0] :
( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
| p(s(tyop_2Emin_2Ebool,X1_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
input ).
fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2_0,plain,
! [X0_2E0,X1_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
| p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2E_5C_2F_2E2]) ).
fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2_1,plain,
! [X0_2E0,X1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| p(s(tyop_2Emin_2Ebool,X0_2E0))
| p(s(tyop_2Emin_2Ebool,X1_2E0)) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2E_5C_2F_2E2]) ).
fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2,axiom,
! [X0_2E0,X1_2E0] :
( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
& p(s(tyop_2Emin_2Ebool,X1_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
input ).
fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2_0,plain,
! [X0_2E0,X1_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
& p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2E_2F_5C_2E2]) ).
fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2_1,plain,
! [X0_2E0,X1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| ( p(s(tyop_2Emin_2Ebool,X0_2E0))
& p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2E_2F_5C_2E2]) ).
fof(reserved_2Equant_2E_3F,axiom,
! [A_27a,V0f_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
<=> ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
input ).
fof(reserved_2Equant_2E_3F_0,plain,
! [A_27a,V0f_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
| ~ ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(orientation,[status(thm)],[reserved_2Equant_2E_3F]) ).
fof(reserved_2Equant_2E_3F_1,plain,
! [A_27a,V0f_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
| ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(orientation,[status(thm)],[reserved_2Equant_2E_3F]) ).
fof(reserved_2Equant_2E_21,axiom,
! [A_27a,V0f_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
<=> ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
input ).
fof(reserved_2Equant_2E_21_0,plain,
! [A_27a,V0f_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
| ~ ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(orientation,[status(thm)],[reserved_2Equant_2E_21]) ).
fof(reserved_2Equant_2E_21_1,plain,
! [A_27a,V0f_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
| ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(orientation,[status(thm)],[reserved_2Equant_2E_21]) ).
fof(reserved_2Elogic_2E_3D,axiom,
! [A_27a,V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))
<=> s(A_27a,V0_2E0) = s(A_27a,V1_2E0) ),
input ).
fof(reserved_2Elogic_2E_3D_0,plain,
! [A_27a,V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))
| s(A_27a,V0_2E0) != s(A_27a,V1_2E0) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_3D]) ).
fof(reserved_2Elogic_2E_3D_1,plain,
! [A_27a,V0_2E0,V1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))
| s(A_27a,V0_2E0) = s(A_27a,V1_2E0) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_3D]) ).
fof(reserved_2Elogic_2E_3D_3D_3E,axiom,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
<=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
input ).
fof(reserved_2Elogic_2E_3D_3D_3E_0,plain,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_3D_3D_3E]) ).
fof(reserved_2Elogic_2E_3D_3D_3E_1,plain,
! [V0_2E0,V1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| ( p(s(tyop_2Emin_2Ebool,V0_2E0))
=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_3D_3D_3E]) ).
fof(reserved_2Elogic_2E_7E,axiom,
! [V0_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))
<=> ~ p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
input ).
fof(reserved_2Elogic_2E_7E_0,plain,
! [V0_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))
| p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_7E]) ).
fof(reserved_2Elogic_2E_7E_1,plain,
! [V0_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_7E]) ).
fof(reserved_2Elogic_2E_5C_2F,axiom,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
<=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
| p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
input ).
fof(reserved_2Elogic_2E_5C_2F_0,plain,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
| p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_5C_2F]) ).
fof(reserved_2Elogic_2E_5C_2F_1,plain,
! [V0_2E0,V1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| p(s(tyop_2Emin_2Ebool,V0_2E0))
| p(s(tyop_2Emin_2Ebool,V1_2E0)) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_5C_2F]) ).
fof(reserved_2Elogic_2E_2F_5C,axiom,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
<=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
& p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
input ).
fof(reserved_2Elogic_2E_2F_5C_0,plain,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
& p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_2F_5C]) ).
fof(reserved_2Elogic_2E_2F_5C_1,plain,
! [V0_2E0,V1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| ( p(s(tyop_2Emin_2Ebool,V0_2E0))
& p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_2F_5C]) ).
fof(reserved_2Eho_2Es__thm,axiom,
! [A_27a,A_27b,A_27c,V0f_2E0,V1g_2E0,V2x_2E0] : s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))))),
input ).
fof(reserved_2Eho_2Es__thm_0,plain,
! [A_27a,A_27b,A_27c,V0f_2E0,V1g_2E0,V2x_2E0] :
( s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0)))))
| $false ),
inference(orientation,[status(thm)],[reserved_2Eho_2Es__thm]) ).
fof(reserved_2Eho_2Ek__thm,axiom,
! [A_27a,A_27b,V0x_2E0,V1y_2E0] : s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0))) = s(A_27a,V0x_2E0),
input ).
fof(reserved_2Eho_2Ek__thm_0,plain,
! [A_27a,A_27b,V0x_2E0,V1y_2E0] :
( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0))) = s(A_27a,V0x_2E0)
| $false ),
inference(orientation,[status(thm)],[reserved_2Eho_2Ek__thm]) ).
fof(reserved_2Eho_2Ei__thm,axiom,
! [A_27a,V0x_2E0] : s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0))) = s(A_27a,V0x_2E0),
input ).
fof(reserved_2Eho_2Ei__thm_0,plain,
! [A_27a,V0x_2E0] :
( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0))) = s(A_27a,V0x_2E0)
| $false ),
inference(orientation,[status(thm)],[reserved_2Eho_2Ei__thm]) ).
fof(reserved_2Eho_2Enotfalse,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
input ).
fof(reserved_2Eho_2Enotfalse_0,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| $false ),
inference(orientation,[status(thm)],[reserved_2Eho_2Enotfalse]) ).
fof(reserved_2Eho_2Etruth,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
input ).
fof(reserved_2Eho_2Etruth_0,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| $false ),
inference(orientation,[status(thm)],[reserved_2Eho_2Etruth]) ).
fof(reserved_2Eho_2Eboolext,axiom,
! [V0_2E0,V1_2E0] :
( ( p(s(tyop_2Emin_2Ebool,V0_2E0))
<=> p(s(tyop_2Emin_2Ebool,V1_2E0)) )
=> s(tyop_2Emin_2Ebool,V0_2E0) = s(tyop_2Emin_2Ebool,V1_2E0) ),
input ).
fof(reserved_2Eho_2Eboolext_0,plain,
! [V0_2E0,V1_2E0] :
( s(tyop_2Emin_2Ebool,V0_2E0) = s(tyop_2Emin_2Ebool,V1_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
<=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Eho_2Eboolext]) ).
fof(reserved_2Eho_2Eeq__ext,axiom,
! [A_27a,A_27b,V0f_2E0,V1g_2E0] :
( ! [V2x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0)))
=> s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0) = s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0) ),
input ).
fof(reserved_2Eho_2Eeq__ext_0,plain,
! [A_27a,A_27b,V0f_2E0,V1g_2E0] :
( s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0) = s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0)
| ~ ! [V2x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))) ),
inference(orientation,[status(thm)],[reserved_2Eho_2Eeq__ext]) ).
fof(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a_001,axiom,
! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
input ).
fof(arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a_1,plain,
! [A_27a,X0_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a]) ).
fof(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a_002,axiom,
! [A_27a,X0_2E0] : s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),
input ).
fof(arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a_1,plain,
! [A_27a,X0_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a]) ).
fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a_003,axiom,
! [A_27a,X0_2E0,X1_2E0] :
( s(A_27a,X0_2E0) = s(A_27a,X1_2E0)
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
input ).
fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a_2,plain,
! [A_27a,X0_2E0,X1_2E0] :
( s(A_27a,X0_2E0) = s(A_27a,X1_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a]) ).
fof(arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a_3,plain,
! [A_27a,X0_2E0,X1_2E0] :
( s(A_27a,X0_2E0) != s(A_27a,X1_2E0)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a]) ).
fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2_004,axiom,
! [X0_2E0,X1_2E0] :
( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
=> p(s(tyop_2Emin_2Ebool,X1_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
input ).
fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2_2,plain,
! [X0_2E0,X1_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
=> p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2]) ).
fof(arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2_3,plain,
! [X0_2E0,X1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| ( p(s(tyop_2Emin_2Ebool,X0_2E0))
=> p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2]) ).
fof(arityeq1_2Ec_2Ebool_2E_7E_2E1_005,axiom,
! [X0_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,X0_2E0))
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))) ),
input ).
fof(arityeq1_2Ec_2Ebool_2E_7E_2E1_2,plain,
! [X0_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))))
| p(s(tyop_2Emin_2Ebool,X0_2E0)) ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2E_7E_2E1]) ).
fof(arityeq1_2Ec_2Ebool_2E_7E_2E1_3,plain,
! [X0_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,X0_2E0)) ),
inference(orientation,[status(thm)],[arityeq1_2Ec_2Ebool_2E_7E_2E1]) ).
fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2_006,axiom,
! [X0_2E0,X1_2E0] :
( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
| p(s(tyop_2Emin_2Ebool,X1_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
input ).
fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2_2,plain,
! [X0_2E0,X1_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
| p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2E_5C_2F_2E2]) ).
fof(arityeq2_2Ec_2Ebool_2E_5C_2F_2E2_3,plain,
! [X0_2E0,X1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| p(s(tyop_2Emin_2Ebool,X0_2E0))
| p(s(tyop_2Emin_2Ebool,X1_2E0)) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2E_5C_2F_2E2]) ).
fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2_007,axiom,
! [X0_2E0,X1_2E0] :
( ( p(s(tyop_2Emin_2Ebool,X0_2E0))
& p(s(tyop_2Emin_2Ebool,X1_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
input ).
fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2_2,plain,
! [X0_2E0,X1_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
& p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2E_2F_5C_2E2]) ).
fof(arityeq2_2Ec_2Ebool_2E_2F_5C_2E2_3,plain,
! [X0_2E0,X1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0))))
| ( p(s(tyop_2Emin_2Ebool,X0_2E0))
& p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ebool_2E_2F_5C_2E2]) ).
fof(reserved_2Equant_2E_3F_008,axiom,
! [A_27a,V0f_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
<=> ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
input ).
fof(reserved_2Equant_2E_3F_2,plain,
! [A_27a,V0f_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
| ~ ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(orientation,[status(thm)],[reserved_2Equant_2E_3F]) ).
fof(reserved_2Equant_2E_3F_3,plain,
! [A_27a,V0f_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
| ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(orientation,[status(thm)],[reserved_2Equant_2E_3F]) ).
fof(reserved_2Equant_2E_21_009,axiom,
! [A_27a,V0f_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
<=> ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
input ).
fof(reserved_2Equant_2E_21_2,plain,
! [A_27a,V0f_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
| ~ ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(orientation,[status(thm)],[reserved_2Equant_2E_21]) ).
fof(reserved_2Equant_2E_21_3,plain,
! [A_27a,V0f_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0))))
| ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(orientation,[status(thm)],[reserved_2Equant_2E_21]) ).
fof(reserved_2Elogic_2E_3D_010,axiom,
! [A_27a,V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))
<=> s(A_27a,V0_2E0) = s(A_27a,V1_2E0) ),
input ).
fof(reserved_2Elogic_2E_3D_2,plain,
! [A_27a,V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))
| s(A_27a,V0_2E0) != s(A_27a,V1_2E0) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_3D]) ).
fof(reserved_2Elogic_2E_3D_3,plain,
! [A_27a,V0_2E0,V1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0))))
| s(A_27a,V0_2E0) = s(A_27a,V1_2E0) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_3D]) ).
fof(reserved_2Elogic_2E_3D_3D_3E_011,axiom,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
<=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
input ).
fof(reserved_2Elogic_2E_3D_3D_3E_2,plain,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_3D_3D_3E]) ).
fof(reserved_2Elogic_2E_3D_3D_3E_3,plain,
! [V0_2E0,V1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| ( p(s(tyop_2Emin_2Ebool,V0_2E0))
=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_3D_3D_3E]) ).
fof(reserved_2Elogic_2E_7E_012,axiom,
! [V0_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))
<=> ~ p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
input ).
fof(reserved_2Elogic_2E_7E_2,plain,
! [V0_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))
| p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_7E]) ).
fof(reserved_2Elogic_2E_7E_3,plain,
! [V0_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0))))
| ~ p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_7E]) ).
fof(reserved_2Elogic_2E_5C_2F_013,axiom,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
<=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
| p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
input ).
fof(reserved_2Elogic_2E_5C_2F_2,plain,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
| p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_5C_2F]) ).
fof(reserved_2Elogic_2E_5C_2F_3,plain,
! [V0_2E0,V1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| p(s(tyop_2Emin_2Ebool,V0_2E0))
| p(s(tyop_2Emin_2Ebool,V1_2E0)) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_5C_2F]) ).
fof(reserved_2Elogic_2E_2F_5C_014,axiom,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
<=> ( p(s(tyop_2Emin_2Ebool,V0_2E0))
& p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
input ).
fof(reserved_2Elogic_2E_2F_5C_2,plain,
! [V0_2E0,V1_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
& p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_2F_5C]) ).
fof(reserved_2Elogic_2E_2F_5C_3,plain,
! [V0_2E0,V1_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0))))
| ( p(s(tyop_2Emin_2Ebool,V0_2E0))
& p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Elogic_2E_2F_5C]) ).
fof(reserved_2Eho_2Es__thm_015,axiom,
! [A_27a,A_27b,A_27c,V0f_2E0,V1g_2E0,V2x_2E0] : s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))))),
input ).
fof(reserved_2Eho_2Es__thm_1,plain,
! [A_27a,A_27b,A_27c,V0f_2E0,V1g_2E0,V2x_2E0] :
( s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0)))))
| $false ),
inference(orientation,[status(thm)],[reserved_2Eho_2Es__thm]) ).
fof(reserved_2Eho_2Ek__thm_016,axiom,
! [A_27a,A_27b,V0x_2E0,V1y_2E0] : s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0))) = s(A_27a,V0x_2E0),
input ).
fof(reserved_2Eho_2Ek__thm_1,plain,
! [A_27a,A_27b,V0x_2E0,V1y_2E0] :
( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0))) = s(A_27a,V0x_2E0)
| $false ),
inference(orientation,[status(thm)],[reserved_2Eho_2Ek__thm]) ).
fof(reserved_2Eho_2Ei__thm_017,axiom,
! [A_27a,V0x_2E0] : s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0))) = s(A_27a,V0x_2E0),
input ).
fof(reserved_2Eho_2Ei__thm_1,plain,
! [A_27a,V0x_2E0] :
( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0))) = s(A_27a,V0x_2E0)
| $false ),
inference(orientation,[status(thm)],[reserved_2Eho_2Ei__thm]) ).
fof(reserved_2Eho_2Enotfalse_018,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
input ).
fof(reserved_2Eho_2Enotfalse_1,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| $false ),
inference(orientation,[status(thm)],[reserved_2Eho_2Enotfalse]) ).
fof(reserved_2Eho_2Etruth_019,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
input ).
fof(reserved_2Eho_2Etruth_1,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| $false ),
inference(orientation,[status(thm)],[reserved_2Eho_2Etruth]) ).
fof(reserved_2Eho_2Eboolext_020,axiom,
! [V0_2E0,V1_2E0] :
( ( p(s(tyop_2Emin_2Ebool,V0_2E0))
<=> p(s(tyop_2Emin_2Ebool,V1_2E0)) )
=> s(tyop_2Emin_2Ebool,V0_2E0) = s(tyop_2Emin_2Ebool,V1_2E0) ),
input ).
fof(reserved_2Eho_2Eboolext_1,plain,
! [V0_2E0,V1_2E0] :
( s(tyop_2Emin_2Ebool,V0_2E0) = s(tyop_2Emin_2Ebool,V1_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
<=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(orientation,[status(thm)],[reserved_2Eho_2Eboolext]) ).
fof(reserved_2Eho_2Eeq__ext_021,axiom,
! [A_27a,A_27b,V0f_2E0,V1g_2E0] :
( ! [V2x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0)))
=> s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0) = s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0) ),
input ).
fof(reserved_2Eho_2Eeq__ext_1,plain,
! [A_27a,A_27b,V0f_2E0,V1g_2E0] :
( s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0) = s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0)
| ~ ! [V2x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))) ),
inference(orientation,[status(thm)],[reserved_2Eho_2Eeq__ext]) ).
fof(def_lhs_atom1,axiom,
! [V1g_2E0,V0f_2E0,A_27b,A_27a] :
( lhs_atom1(V1g_2E0,V0f_2E0,A_27b,A_27a)
<=> s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0) = s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0) ),
inference(definition,[],[]) ).
fof(to_be_clausified_0,plain,
! [A_27a,A_27b,V0f_2E0,V1g_2E0] :
( lhs_atom1(V1g_2E0,V0f_2E0,A_27b,A_27a)
| ~ ! [V2x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))) ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Eeq__ext_1,def_lhs_atom1]) ).
fof(def_lhs_atom2,axiom,
! [V1_2E0,V0_2E0] :
( lhs_atom2(V1_2E0,V0_2E0)
<=> s(tyop_2Emin_2Ebool,V0_2E0) = s(tyop_2Emin_2Ebool,V1_2E0) ),
inference(definition,[],[]) ).
fof(to_be_clausified_1,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom2(V1_2E0,V0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
<=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Eboolext_1,def_lhs_atom2]) ).
fof(def_lhs_atom3,axiom,
( lhs_atom3
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_2,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Etruth_1,def_lhs_atom3]) ).
fof(def_lhs_atom4,axiom,
( lhs_atom4
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_3,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Enotfalse_1,def_lhs_atom4]) ).
fof(def_lhs_atom5,axiom,
! [V0x_2E0,A_27a] :
( lhs_atom5(V0x_2E0,A_27a)
<=> s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),combin_i_2E0),s(A_27a,V0x_2E0))) = s(A_27a,V0x_2E0) ),
inference(definition,[],[]) ).
fof(to_be_clausified_4,plain,
! [A_27a,V0x_2E0] :
( lhs_atom5(V0x_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Ei__thm_1,def_lhs_atom5]) ).
fof(def_lhs_atom6,axiom,
! [V1y_2E0,V0x_2E0,A_27b,A_27a] :
( lhs_atom6(V1y_2E0,V0x_2E0,A_27b,A_27a)
<=> s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27a)),combin_k_2E0),s(A_27a,V0x_2E0))),s(A_27b,V1y_2E0))) = s(A_27a,V0x_2E0) ),
inference(definition,[],[]) ).
fof(to_be_clausified_5,plain,
! [A_27a,A_27b,V0x_2E0,V1y_2E0] :
( lhs_atom6(V1y_2E0,V0x_2E0,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Ek__thm_1,def_lhs_atom6]) ).
fof(def_lhs_atom7,axiom,
! [V2x_2E0,V1g_2E0,V0f_2E0,A_27c,A_27b,A_27a] :
( lhs_atom7(V2x_2E0,V1g_2E0,V0f_2E0,A_27c,A_27b,A_27a)
<=> s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27c),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27c))),combin_s_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0))),s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0))),s(A_27a,V2x_2E0))) = s(A_27c,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27c),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27b,A_27c)),V0f_2E0),s(A_27a,V2x_2E0))),s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_6,plain,
! [A_27a,A_27b,A_27c,V0f_2E0,V1g_2E0,V2x_2E0] :
( lhs_atom7(V2x_2E0,V1g_2E0,V0f_2E0,A_27c,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Es__thm_1,def_lhs_atom7]) ).
fof(def_lhs_atom8,axiom,
! [V1_2E0,V0_2E0] :
( lhs_atom8(V1_2E0,V0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_7,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom8(V1_2E0,V0_2E0)
| ( p(s(tyop_2Emin_2Ebool,V0_2E0))
& p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_2F_5C_3,def_lhs_atom8]) ).
fof(def_lhs_atom9,axiom,
! [V1_2E0,V0_2E0] :
( lhs_atom9(V1_2E0,V0_2E0)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_8,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom9(V1_2E0,V0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
& p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_2F_5C_2,def_lhs_atom9]) ).
fof(def_lhs_atom10,axiom,
! [V1_2E0,V0_2E0] :
( lhs_atom10(V1_2E0,V0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_9,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom10(V1_2E0,V0_2E0)
| p(s(tyop_2Emin_2Ebool,V0_2E0))
| p(s(tyop_2Emin_2Ebool,V1_2E0)) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_5C_2F_3,def_lhs_atom10]) ).
fof(def_lhs_atom11,axiom,
! [V1_2E0,V0_2E0] :
( lhs_atom11(V1_2E0,V0_2E0)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_10,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom11(V1_2E0,V0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
| p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_5C_2F_2,def_lhs_atom11]) ).
fof(def_lhs_atom12,axiom,
! [V0_2E0] :
( lhs_atom12(V0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_11,plain,
! [V0_2E0] :
( lhs_atom12(V0_2E0)
| ~ p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_7E_3,def_lhs_atom12]) ).
fof(def_lhs_atom13,axiom,
! [V0_2E0] :
( lhs_atom13(V0_2E0)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,V0_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_12,plain,
! [V0_2E0] :
( lhs_atom13(V0_2E0)
| p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_7E_2,def_lhs_atom13]) ).
fof(def_lhs_atom14,axiom,
! [V1_2E0,V0_2E0] :
( lhs_atom14(V1_2E0,V0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_13,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom14(V1_2E0,V0_2E0)
| ( p(s(tyop_2Emin_2Ebool,V0_2E0))
=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_3D_3D_3E_3,def_lhs_atom14]) ).
fof(def_lhs_atom15,axiom,
! [V1_2E0,V0_2E0] :
( lhs_atom15(V1_2E0,V0_2E0)
<=> p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,V0_2E0),s(tyop_2Emin_2Ebool,V1_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_14,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom15(V1_2E0,V0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_3D_3D_3E_2,def_lhs_atom15]) ).
fof(def_lhs_atom16,axiom,
! [V1_2E0,V0_2E0,A_27a] :
( lhs_atom16(V1_2E0,V0_2E0,A_27a)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_15,plain,
! [A_27a,V0_2E0,V1_2E0] :
( lhs_atom16(V1_2E0,V0_2E0,A_27a)
| s(A_27a,V0_2E0) = s(A_27a,V1_2E0) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_3D_3,def_lhs_atom16]) ).
fof(def_lhs_atom17,axiom,
! [V1_2E0,V0_2E0,A_27a] :
( lhs_atom17(V1_2E0,V0_2E0,A_27a)
<=> p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(A_27a,V0_2E0),s(A_27a,V1_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_16,plain,
! [A_27a,V0_2E0,V1_2E0] :
( lhs_atom17(V1_2E0,V0_2E0,A_27a)
| s(A_27a,V0_2E0) != s(A_27a,V1_2E0) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_3D_2,def_lhs_atom17]) ).
fof(def_lhs_atom18,axiom,
! [V0f_2E0,A_27a] :
( lhs_atom18(V0f_2E0,A_27a)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_17,plain,
! [A_27a,V0f_2E0] :
( lhs_atom18(V0f_2E0,A_27a)
| ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(fold_definition,[status(thm)],[reserved_2Equant_2E_21_3,def_lhs_atom18]) ).
fof(def_lhs_atom19,axiom,
! [V0f_2E0,A_27a] :
( lhs_atom19(V0f_2E0,A_27a)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_18,plain,
! [A_27a,V0f_2E0] :
( lhs_atom19(V0f_2E0,A_27a)
| ~ ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(fold_definition,[status(thm)],[reserved_2Equant_2E_21_2,def_lhs_atom19]) ).
fof(def_lhs_atom20,axiom,
! [V0f_2E0,A_27a] :
( lhs_atom20(V0f_2E0,A_27a)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_19,plain,
! [A_27a,V0f_2E0] :
( lhs_atom20(V0f_2E0,A_27a)
| ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(fold_definition,[status(thm)],[reserved_2Equant_2E_3F_3,def_lhs_atom20]) ).
fof(def_lhs_atom21,axiom,
! [V0f_2E0,A_27a] :
( lhs_atom21(V0f_2E0,A_27a)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_20,plain,
! [A_27a,V0f_2E0] :
( lhs_atom21(V0f_2E0,A_27a)
| ~ ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(fold_definition,[status(thm)],[reserved_2Equant_2E_3F_2,def_lhs_atom21]) ).
fof(def_lhs_atom22,axiom,
! [X1_2E0,X0_2E0] :
( lhs_atom22(X1_2E0,X0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_21,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom22(X1_2E0,X0_2E0)
| ( p(s(tyop_2Emin_2Ebool,X0_2E0))
& p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2E_2F_5C_2E2_3,def_lhs_atom22]) ).
fof(def_lhs_atom23,axiom,
! [X1_2E0,X0_2E0] :
( lhs_atom23(X1_2E0,X0_2E0)
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_22,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom23(X1_2E0,X0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
& p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2E_2F_5C_2E2_2,def_lhs_atom23]) ).
fof(def_lhs_atom24,axiom,
! [X1_2E0,X0_2E0] :
( lhs_atom24(X1_2E0,X0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_23,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom24(X1_2E0,X0_2E0)
| p(s(tyop_2Emin_2Ebool,X0_2E0))
| p(s(tyop_2Emin_2Ebool,X1_2E0)) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2E_5C_2F_2E2_3,def_lhs_atom24]) ).
fof(def_lhs_atom25,axiom,
! [X1_2E0,X0_2E0] :
( lhs_atom25(X1_2E0,X0_2E0)
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_24,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom25(X1_2E0,X0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
| p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2E_5C_2F_2E2_2,def_lhs_atom25]) ).
fof(def_lhs_atom26,axiom,
! [X0_2E0] :
( lhs_atom26(X0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_25,plain,
! [X0_2E0] :
( lhs_atom26(X0_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X0_2E0)) ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2E_7E_2E1_3,def_lhs_atom26]) ).
fof(def_lhs_atom27,axiom,
! [X0_2E0] :
( lhs_atom27(X0_2E0)
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X0_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_26,plain,
! [X0_2E0] :
( lhs_atom27(X0_2E0)
| p(s(tyop_2Emin_2Ebool,X0_2E0)) ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2E_7E_2E1_2,def_lhs_atom27]) ).
fof(def_lhs_atom28,axiom,
! [X1_2E0,X0_2E0] :
( lhs_atom28(X1_2E0,X0_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_27,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom28(X1_2E0,X0_2E0)
| ( p(s(tyop_2Emin_2Ebool,X0_2E0))
=> p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2_3,def_lhs_atom28]) ).
fof(def_lhs_atom29,axiom,
! [X1_2E0,X0_2E0] :
( lhs_atom29(X1_2E0,X0_2E0)
<=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(tyop_2Emin_2Ebool,X1_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_28,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom29(X1_2E0,X0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
=> p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2_2,def_lhs_atom29]) ).
fof(def_lhs_atom30,axiom,
! [X1_2E0,X0_2E0,A_27a] :
( lhs_atom30(X1_2E0,X0_2E0,A_27a)
<=> s(A_27a,X0_2E0) != s(A_27a,X1_2E0) ),
inference(definition,[],[]) ).
fof(to_be_clausified_29,plain,
! [A_27a,X0_2E0,X1_2E0] :
( lhs_atom30(X1_2E0,X0_2E0,A_27a)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a_3,def_lhs_atom30]) ).
fof(def_lhs_atom31,axiom,
! [X1_2E0,X0_2E0,A_27a] :
( lhs_atom31(X1_2E0,X0_2E0,A_27a)
<=> s(A_27a,X0_2E0) = s(A_27a,X1_2E0) ),
inference(definition,[],[]) ).
fof(to_be_clausified_30,plain,
! [A_27a,X0_2E0,X1_2E0] :
( lhs_atom31(X1_2E0,X0_2E0,A_27a)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a_2,def_lhs_atom31]) ).
fof(def_lhs_atom32,axiom,
! [X0_2E0,A_27a] :
( lhs_atom32(X0_2E0,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_31,plain,
! [A_27a,X0_2E0] :
( lhs_atom32(X0_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a_1,def_lhs_atom32]) ).
fof(def_lhs_atom33,axiom,
! [X0_2E0,A_27a] :
( lhs_atom33(X0_2E0,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_32,plain,
! [A_27a,X0_2E0] :
( lhs_atom33(X0_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a_1,def_lhs_atom33]) ).
fof(to_be_clausified_33,plain,
! [A_27a,A_27b,V0f_2E0,V1g_2E0] :
( lhs_atom1(V1g_2E0,V0f_2E0,A_27b,A_27a)
| ~ ! [V2x_2E0] : s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0f_2E0),s(A_27a,V2x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V1g_2E0),s(A_27a,V2x_2E0))) ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Eeq__ext_0,def_lhs_atom1]) ).
fof(to_be_clausified_34,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom2(V1_2E0,V0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
<=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Eboolext_0,def_lhs_atom2]) ).
fof(to_be_clausified_35,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Etruth_0,def_lhs_atom3]) ).
fof(to_be_clausified_36,plain,
( lhs_atom4
| $false ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Enotfalse_0,def_lhs_atom4]) ).
fof(to_be_clausified_37,plain,
! [A_27a,V0x_2E0] :
( lhs_atom5(V0x_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Ei__thm_0,def_lhs_atom5]) ).
fof(to_be_clausified_38,plain,
! [A_27a,A_27b,V0x_2E0,V1y_2E0] :
( lhs_atom6(V1y_2E0,V0x_2E0,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Ek__thm_0,def_lhs_atom6]) ).
fof(to_be_clausified_39,plain,
! [A_27a,A_27b,A_27c,V0f_2E0,V1g_2E0,V2x_2E0] :
( lhs_atom7(V2x_2E0,V1g_2E0,V0f_2E0,A_27c,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[reserved_2Eho_2Es__thm_0,def_lhs_atom7]) ).
fof(to_be_clausified_40,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom8(V1_2E0,V0_2E0)
| ( p(s(tyop_2Emin_2Ebool,V0_2E0))
& p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_2F_5C_1,def_lhs_atom8]) ).
fof(to_be_clausified_41,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom9(V1_2E0,V0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
& p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_2F_5C_0,def_lhs_atom9]) ).
fof(to_be_clausified_42,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom10(V1_2E0,V0_2E0)
| p(s(tyop_2Emin_2Ebool,V0_2E0))
| p(s(tyop_2Emin_2Ebool,V1_2E0)) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_5C_2F_1,def_lhs_atom10]) ).
fof(to_be_clausified_43,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom11(V1_2E0,V0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
| p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_5C_2F_0,def_lhs_atom11]) ).
fof(to_be_clausified_44,plain,
! [V0_2E0] :
( lhs_atom12(V0_2E0)
| ~ p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_7E_1,def_lhs_atom12]) ).
fof(to_be_clausified_45,plain,
! [V0_2E0] :
( lhs_atom13(V0_2E0)
| p(s(tyop_2Emin_2Ebool,V0_2E0)) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_7E_0,def_lhs_atom13]) ).
fof(to_be_clausified_46,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom14(V1_2E0,V0_2E0)
| ( p(s(tyop_2Emin_2Ebool,V0_2E0))
=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_3D_3D_3E_1,def_lhs_atom14]) ).
fof(to_be_clausified_47,plain,
! [V0_2E0,V1_2E0] :
( lhs_atom15(V1_2E0,V0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0_2E0))
=> p(s(tyop_2Emin_2Ebool,V1_2E0)) ) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_3D_3D_3E_0,def_lhs_atom15]) ).
fof(to_be_clausified_48,plain,
! [A_27a,V0_2E0,V1_2E0] :
( lhs_atom16(V1_2E0,V0_2E0,A_27a)
| s(A_27a,V0_2E0) = s(A_27a,V1_2E0) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_3D_1,def_lhs_atom16]) ).
fof(to_be_clausified_49,plain,
! [A_27a,V0_2E0,V1_2E0] :
( lhs_atom17(V1_2E0,V0_2E0,A_27a)
| s(A_27a,V0_2E0) != s(A_27a,V1_2E0) ),
inference(fold_definition,[status(thm)],[reserved_2Elogic_2E_3D_0,def_lhs_atom17]) ).
fof(to_be_clausified_50,plain,
! [A_27a,V0f_2E0] :
( lhs_atom18(V0f_2E0,A_27a)
| ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(fold_definition,[status(thm)],[reserved_2Equant_2E_21_1,def_lhs_atom18]) ).
fof(to_be_clausified_51,plain,
! [A_27a,V0f_2E0] :
( lhs_atom19(V0f_2E0,A_27a)
| ~ ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(fold_definition,[status(thm)],[reserved_2Equant_2E_21_0,def_lhs_atom19]) ).
fof(to_be_clausified_52,plain,
! [A_27a,V0f_2E0] :
( lhs_atom20(V0f_2E0,A_27a)
| ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(fold_definition,[status(thm)],[reserved_2Equant_2E_3F_1,def_lhs_atom20]) ).
fof(to_be_clausified_53,plain,
! [A_27a,V0f_2E0] :
( lhs_atom21(V0f_2E0,A_27a)
| ~ ? [V1x_2E0] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0f_2E0),s(A_27a,V1x_2E0)))) ),
inference(fold_definition,[status(thm)],[reserved_2Equant_2E_3F_0,def_lhs_atom21]) ).
fof(to_be_clausified_54,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom22(X1_2E0,X0_2E0)
| ( p(s(tyop_2Emin_2Ebool,X0_2E0))
& p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2E_2F_5C_2E2_1,def_lhs_atom22]) ).
fof(to_be_clausified_55,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom23(X1_2E0,X0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
& p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2E_2F_5C_2E2_0,def_lhs_atom23]) ).
fof(to_be_clausified_56,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom24(X1_2E0,X0_2E0)
| p(s(tyop_2Emin_2Ebool,X0_2E0))
| p(s(tyop_2Emin_2Ebool,X1_2E0)) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2E_5C_2F_2E2_1,def_lhs_atom24]) ).
fof(to_be_clausified_57,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom25(X1_2E0,X0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
| p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2E_5C_2F_2E2_0,def_lhs_atom25]) ).
fof(to_be_clausified_58,plain,
! [X0_2E0] :
( lhs_atom26(X0_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X0_2E0)) ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2E_7E_2E1_1,def_lhs_atom26]) ).
fof(to_be_clausified_59,plain,
! [X0_2E0] :
( lhs_atom27(X0_2E0)
| p(s(tyop_2Emin_2Ebool,X0_2E0)) ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2E_7E_2E1_0,def_lhs_atom27]) ).
fof(to_be_clausified_60,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom28(X1_2E0,X0_2E0)
| ( p(s(tyop_2Emin_2Ebool,X0_2E0))
=> p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2_1,def_lhs_atom28]) ).
fof(to_be_clausified_61,plain,
! [X0_2E0,X1_2E0] :
( lhs_atom29(X1_2E0,X0_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,X0_2E0))
=> p(s(tyop_2Emin_2Ebool,X1_2E0)) ) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_3D_3E_2E2_0,def_lhs_atom29]) ).
fof(to_be_clausified_62,plain,
! [A_27a,X0_2E0,X1_2E0] :
( lhs_atom30(X1_2E0,X0_2E0,A_27a)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a_1,def_lhs_atom30]) ).
fof(to_be_clausified_63,plain,
! [A_27a,X0_2E0,X1_2E0] :
( lhs_atom31(X1_2E0,X0_2E0,A_27a)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(A_27a,X0_2E0))),s(A_27a,X1_2E0)))) ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Emin_2E_3D_2E2_2Emono_2EA_27a_0,def_lhs_atom31]) ).
fof(to_be_clausified_64,plain,
! [A_27a,X0_2E0] :
( lhs_atom32(X0_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2E_21_2E1_2Emono_2EA_27a_0,def_lhs_atom32]) ).
fof(to_be_clausified_65,plain,
! [A_27a,X0_2E0] :
( lhs_atom33(X0_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2E_3F_2E1_2Emono_2EA_27a_0,def_lhs_atom33]) ).
fof(def_lhs_atom34,axiom,
! [X0_2E0,A_27a] :
( lhs_atom34(X0_2E0,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_21_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_66,plain,
! [A_27a,X0_2E0] :
( lhs_atom34(X0_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2E_3F_21_2E1_2Emono_2EA_27a_0,def_lhs_atom34]) ).
fof(def_lhs_atom35,axiom,
! [X0_2E0,A_27a] :
( lhs_atom35(X0_2E0,A_27a)
<=> s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a),c_2Emin_2E_40_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_67,plain,
! [A_27a,X0_2E0] :
( lhs_atom35(X0_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Emin_2E_40_2E1_2Emono_2EA_27a_0,def_lhs_atom35]) ).
fof(def_lhs_atom36,axiom,
! [X0_2E0] :
( lhs_atom36(X0_2E0)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2EBOUNDED_2E0),s(tyop_2Emin_2Ebool,X0_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_68,plain,
! [X0_2E0] :
( lhs_atom36(X0_2E0)
| $false ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2EBOUNDED_2E1_0,def_lhs_atom36]) ).
fof(def_lhs_atom37,axiom,
! [X0_2E0,A_27a] :
( lhs_atom37(X0_2E0,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(A_27a,X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),c_2Ebool_2EDATATYPE_2E0),s(A_27a,X0_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_69,plain,
! [A_27a,X0_2E0] :
( lhs_atom37(X0_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2EDATATYPE_2E1_2Emono_2EA_27a_0,def_lhs_atom37]) ).
fof(def_lhs_atom38,axiom,
! [X0_2E0,A_27b,A_27a] :
( lhs_atom38(X0_2E0,A_27b,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_70,plain,
! [A_27a,A_27b,X0_2E0] :
( lhs_atom38(X0_2E0,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2EA_27a_20mono_2EA_27b_0,def_lhs_atom38]) ).
fof(def_lhs_atom39,axiom,
! [X0_2E0] :
( lhs_atom39(X0_2E0)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_71,plain,
! [X0_2E0] :
( lhs_atom39(X0_2E0)
| $false ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2EONE__ONE_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind_0,def_lhs_atom39]) ).
fof(def_lhs_atom40,axiom,
! [X0_2E0,A_27b,A_27a] :
( lhs_atom40(X0_2E0,A_27b,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_72,plain,
! [A_27a,A_27b,X0_2E0] :
( lhs_atom40(X0_2E0,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2EA_27a_20mono_2EA_27b_0,def_lhs_atom40]) ).
fof(def_lhs_atom41,axiom,
! [X0_2E0] :
( lhs_atom41(X0_2E0)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X0_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_73,plain,
! [X0_2E0] :
( lhs_atom41(X0_2E0)
| $false ),
inference(fold_definition,[status(thm)],[arityeq1_2Ec_2Ebool_2EONTO_2E1_2Emono_2Etyop_2Emin_2Eind_20mono_2Etyop_2Emin_2Eind_0,def_lhs_atom41]) ).
fof(def_lhs_atom42,axiom,
! [X1_2E0,X0_2E0,A_27a] :
( lhs_atom42(X1_2E0,X0_2E0,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(A_27a,X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_74,plain,
! [A_27a,X0_2E0,X1_2E0] :
( lhs_atom42(X1_2E0,X0_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2EIN_2E2_2Emono_2EA_27a_0,def_lhs_atom42]) ).
fof(def_lhs_atom43,axiom,
! [X1_2E0,X0_2E0,A_27b,A_27a] :
( lhs_atom43(X1_2E0,X0_2E0,A_27b,A_27a)
<=> s(A_27b,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(A_27a,X1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b)),c_2Ebool_2ELET_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(A_27a,X1_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_75,plain,
! [A_27a,A_27b,X0_2E0,X1_2E0] :
( lhs_atom43(X1_2E0,X0_2E0,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2ELET_2E2_2Emono_2EA_27a_20mono_2EA_27b_0,def_lhs_atom43]) ).
fof(def_lhs_atom44,axiom,
! [X1_2E0,X0_2E0,A_27a] :
( lhs_atom44(X1_2E0,X0_2E0,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_76,plain,
! [A_27a,X0_2E0,X1_2E0] :
( lhs_atom44(X1_2E0,X0_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2ERES__EXISTS_2E2_2Emono_2EA_27a_0,def_lhs_atom44]) ).
fof(def_lhs_atom45,axiom,
! [X1_2E0,X0_2E0,A_27a] :
( lhs_atom45(X1_2E0,X0_2E0,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS__UNIQUE_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_77,plain,
! [A_27a,X0_2E0,X1_2E0] :
( lhs_atom45(X1_2E0,X0_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2ERES__EXISTS__UNIQUE_2E2_2Emono_2EA_27a_0,def_lhs_atom45]) ).
fof(def_lhs_atom46,axiom,
! [X1_2E0,X0_2E0,A_27a] :
( lhs_atom46(X1_2E0,X0_2E0,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__FORALL_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_78,plain,
! [A_27a,X0_2E0,X1_2E0] :
( lhs_atom46(X1_2E0,X0_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2ERES__FORALL_2E2_2Emono_2EA_27a_0,def_lhs_atom46]) ).
fof(def_lhs_atom47,axiom,
! [X1_2E0,X0_2E0,A_27a] :
( lhs_atom47(X1_2E0,X0_2E0,A_27a)
<=> s(A_27a,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),A_27a)),c_2Ebool_2ERES__SELECT_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_79,plain,
! [A_27a,X0_2E0,X1_2E0] :
( lhs_atom47(X1_2E0,X0_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2ERES__SELECT_2E2_2Emono_2EA_27a_0,def_lhs_atom47]) ).
fof(def_lhs_atom48,axiom,
! [X1_2E0,X0_2E0,A_27b,A_27a] :
( lhs_atom48(X1_2E0,X0_2E0,A_27b,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27b,A_27a),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27a),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,A_27a),tyop_2Emin_2Ebool)),c_2Ebool_2ETYPE__DEFINITION_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,A_27a),X1_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_80,plain,
! [A_27a,A_27b,X0_2E0,X1_2E0] :
( lhs_atom48(X1_2E0,X0_2E0,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2ETYPE__DEFINITION_2E2_2Emono_2EA_27a_20mono_2EA_27b_0,def_lhs_atom48]) ).
fof(def_lhs_atom49,axiom,
! [X1_2E0,X0_2E0,A_27b,A_27a] :
( lhs_atom49(X1_2E0,X0_2E0,A_27b,A_27a)
<=> s(A_27b,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0),s(A_27a,X1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,A_27b),tyop_2Emin_2Efun(A_27a,A_27b)),c_2Ebool_2Eliteral__case_2E0),s(tyop_2Emin_2Efun(A_27a,A_27b),X0_2E0))),s(A_27a,X1_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_81,plain,
! [A_27a,A_27b,X0_2E0,X1_2E0] :
( lhs_atom49(X1_2E0,X0_2E0,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ebool_2Eliteral__case_2E2_2Emono_2EA_27a_20mono_2EA_27b_0,def_lhs_atom49]) ).
fof(def_lhs_atom50,axiom,
! [X2_2E0,X1_2E0,X0_2E0,A_27a] :
( lhs_atom50(X2_2E0,X1_2E0,X0_2E0,A_27a)
<=> s(A_27a,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X0_2E0),s(A_27a,X1_2E0),s(A_27a,X2_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27a),app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Efun(A_27a,A_27a))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X0_2E0))),s(A_27a,X1_2E0))),s(A_27a,X2_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_82,plain,
! [A_27a,X0_2E0,X1_2E0,X2_2E0] :
( lhs_atom50(X2_2E0,X1_2E0,X0_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq3_2Ec_2Ebool_2ECOND_2E3_2Emono_2EA_27a_0,def_lhs_atom50]) ).
fof(def_lhs_atom51,axiom,
! [V1x_2E0,V0M_2E0,A_27b,A_27a] :
( lhs_atom51(V1x_2E0,V0M_2E0,A_27b,A_27a)
<=> s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0M_2E0),s(A_27a,V1x_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0M_2E0),s(A_27a,V1x_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_83,plain,
! [A_27a,A_27b,V0M_2E0,V1x_2E0] :
( lhs_atom51(V1x_2E0,V0M_2E0,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EETA__AX_0,def_lhs_atom51]) ).
fof(def_lhs_atom52,axiom,
! [V1x_2E0,V0P_2E0,A_27a] :
( lhs_atom52(V1x_2E0,V0P_2E0,A_27a)
<=> ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,V1x_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_84,plain,
! [A_27a,V0P_2E0,V1x_2E0] :
( lhs_atom52(V1x_2E0,V0P_2E0,A_27a)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0),s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0P_2E0)))))) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ESELECT__AX_0,def_lhs_atom52]) ).
fof(def_lhs_atom53,axiom,
( lhs_atom53
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_85,plain,
( lhs_atom53
| ! [V0x_2E0] : s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,V0x_2E0) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ET__DEF_1,def_lhs_atom53]) ).
fof(to_be_clausified_86,plain,
( lhs_atom3
| ~ ! [V0x_2E0] : s(tyop_2Emin_2Ebool,V0x_2E0) = s(tyop_2Emin_2Ebool,V0x_2E0) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ET__DEF_0,def_lhs_atom3]) ).
fof(def_lhs_atom54,axiom,
! [V0x_2E0,A_27a] :
( lhs_atom54(V0x_2E0,A_27a)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_87,plain,
! [A_27a,V0x_2E0] :
( lhs_atom54(V0x_2E0,A_27a)
| ! [V1x_2E0] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V1x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EFORALL__DEF_1,def_lhs_atom54]) ).
fof(def_lhs_atom55,axiom,
! [V0x_2E0,A_27a] :
( lhs_atom55(V0x_2E0,A_27a)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_88,plain,
! [A_27a,V0x_2E0] :
( lhs_atom55(V0x_2E0,A_27a)
| ~ ! [V1x_2E0] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V1x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EFORALL__DEF_0,def_lhs_atom55]) ).
fof(def_lhs_atom56,axiom,
! [V0x_2E0,A_27a] :
( lhs_atom56(V0x_2E0,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_89,plain,
! [A_27a,V0x_2E0] :
( lhs_atom56(V0x_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EEXISTS__DEF_0,def_lhs_atom56]) ).
fof(to_be_clausified_90,plain,
( lhs_atom4
| ! [V0t_2E0] : p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EF__DEF_1,def_lhs_atom4]) ).
fof(def_lhs_atom57,axiom,
( lhs_atom57
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_91,plain,
( lhs_atom57
| ~ ! [V0t_2E0] : p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EF__DEF_0,def_lhs_atom57]) ).
fof(def_lhs_atom58,axiom,
! [V0x_2E0] :
( lhs_atom58(V0x_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,V0x_2E0)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_92,plain,
! [V0x_2E0] :
( lhs_atom58(V0x_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0x_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ENOT__DEF_1,def_lhs_atom58]) ).
fof(def_lhs_atom59,axiom,
! [V0x_2E0] :
( lhs_atom59(V0x_2E0)
<=> p(s(tyop_2Emin_2Ebool,V0x_2E0)) ),
inference(definition,[],[]) ).
fof(to_be_clausified_93,plain,
! [V0x_2E0] :
( lhs_atom59(V0x_2E0)
| ( p(s(tyop_2Emin_2Ebool,V0x_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ENOT__DEF_0,def_lhs_atom59]) ).
fof(def_lhs_atom60,axiom,
! [V0x_2E0,A_27a] :
( lhs_atom60(V0x_2E0,A_27a)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_94,plain,
! [A_27a,V0x_2E0] :
( lhs_atom60(V0x_2E0,A_27a)
| ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
& ! [V1x_2E0,V2y_2E0] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V1x_2E0))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V2y_2E0)))) )
=> s(A_27a,V1x_2E0) = s(A_27a,V2y_2E0) ) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EEXISTS__UNIQUE__DEF_1,def_lhs_atom60]) ).
fof(def_lhs_atom61,axiom,
! [V0x_2E0,A_27a] :
( lhs_atom61(V0x_2E0,A_27a)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_95,plain,
! [A_27a,V0x_2E0] :
( lhs_atom61(V0x_2E0,A_27a)
| ~ ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
& ! [V1x_2E0,V2y_2E0] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V1x_2E0))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V2y_2E0)))) )
=> s(A_27a,V1x_2E0) = s(A_27a,V2y_2E0) ) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EEXISTS__UNIQUE__DEF_0,def_lhs_atom61]) ).
fof(def_lhs_atom62,axiom,
! [V1x_27_2E0,V0x_2E0,A_27b,A_27a] :
( lhs_atom62(V1x_27_2E0,V0x_2E0,A_27b,A_27a)
<=> s(A_27b,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_96,plain,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] :
( lhs_atom62(V1x_27_2E0,V0x_2E0,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ELET__DEF_0,def_lhs_atom62]) ).
fof(def_lhs_atom63,axiom,
! [V0x_2E0,A_27b,A_27a] :
( lhs_atom63(V0x_2E0,A_27b,A_27a)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_97,plain,
! [A_27a,A_27b,V0x_2E0] :
( lhs_atom63(V0x_2E0,A_27b,A_27a)
| ! [V1x1_2E0,V2x2_2E0] :
( s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x2_2E0)))
=> s(A_27a,V1x1_2E0) = s(A_27a,V2x2_2E0) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EONE__ONE__DEF_1,def_lhs_atom63]) ).
fof(def_lhs_atom64,axiom,
! [V0x_2E0,A_27b,A_27a] :
( lhs_atom64(V0x_2E0,A_27b,A_27a)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_98,plain,
! [A_27a,A_27b,V0x_2E0] :
( lhs_atom64(V0x_2E0,A_27b,A_27a)
| ~ ! [V1x1_2E0,V2x2_2E0] :
( s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x1_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x2_2E0)))
=> s(A_27a,V1x1_2E0) = s(A_27a,V2x2_2E0) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EONE__ONE__DEF_0,def_lhs_atom64]) ).
fof(def_lhs_atom65,axiom,
! [V0x_2E0,A_27b,A_27a] :
( lhs_atom65(V0x_2E0,A_27b,A_27a)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_99,plain,
! [A_27a,A_27b,V0x_2E0] :
( lhs_atom65(V0x_2E0,A_27b,A_27a)
| ! [V1y_2E0] :
? [V2x_2E0] : s(A_27b,V1y_2E0) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x_2E0))) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EONTO__DEF_1,def_lhs_atom65]) ).
fof(def_lhs_atom66,axiom,
! [V0x_2E0,A_27b,A_27a] :
( lhs_atom66(V0x_2E0,A_27b,A_27a)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_100,plain,
! [A_27a,A_27b,V0x_2E0] :
( lhs_atom66(V0x_2E0,A_27b,A_27a)
| ~ ! [V1y_2E0] :
? [V2x_2E0] : s(A_27b,V1y_2E0) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V2x_2E0))) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EONTO__DEF_0,def_lhs_atom66]) ).
fof(def_lhs_atom67,axiom,
! [V1x_27_2E0,V0x_2E0,A_27b,A_27a] :
( lhs_atom67(V1x_27_2E0,V0x_2E0,A_27b,A_27a)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_101,plain,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] :
( lhs_atom67(V1x_27_2E0,V0x_2E0,A_27b,A_27a)
| ( ! [V2x_27_2E0,V3x_27_27_2E0] :
( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V2x_27_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V3x_27_27_2E0)))
=> s(A_27b,V2x_27_2E0) = s(A_27b,V3x_27_27_2E0) )
& ! [V4x_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V4x_2E0))))
<=> ? [V5x_27_2E0] : s(A_27a,V4x_2E0) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V5x_27_2E0))) ) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ETYPE__DEFINITION_1,def_lhs_atom67]) ).
fof(def_lhs_atom68,axiom,
! [V1x_27_2E0,V0x_2E0,A_27b,A_27a] :
( lhs_atom68(V1x_27_2E0,V0x_2E0,A_27b,A_27a)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_102,plain,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] :
( lhs_atom68(V1x_27_2E0,V0x_2E0,A_27b,A_27a)
| ~ ( ! [V2x_27_2E0,V3x_27_27_2E0] :
( s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V2x_27_2E0))) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V3x_27_27_2E0)))
=> s(A_27b,V2x_27_2E0) = s(A_27b,V3x_27_27_2E0) )
& ! [V4x_2E0] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(A_27a,V4x_2E0))))
<=> ? [V5x_27_2E0] : s(A_27a,V4x_2E0) = s(A_27a,app_2E2(s(tyop_2Emin_2Efun(A_27b,A_27a),V1x_27_2E0),s(A_27b,V5x_27_2E0))) ) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ETYPE__DEFINITION_0,def_lhs_atom68]) ).
fof(def_lhs_atom69,axiom,
! [V1x_27_2E0,V0x_2E0,A_27b,A_27a] :
( lhs_atom69(V1x_27_2E0,V0x_2E0,A_27b,A_27a)
<=> s(A_27b,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))) = s(A_27b,app_2E2(s(tyop_2Emin_2Efun(A_27a,A_27b),V0x_2E0),s(A_27a,V1x_27_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_103,plain,
! [A_27a,A_27b,V0x_2E0,V1x_27_2E0] :
( lhs_atom69(V1x_27_2E0,V0x_2E0,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2Eliteral__case__DEF_0,def_lhs_atom69]) ).
fof(def_lhs_atom70,axiom,
! [V1x_27_2E0,V0x_2E0,A_27a] :
( lhs_atom70(V1x_27_2E0,V0x_2E0,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V0x_2E0))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_104,plain,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( lhs_atom70(V1x_27_2E0,V0x_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EIN__DEF_0,def_lhs_atom70]) ).
fof(def_lhs_atom71,axiom,
! [V1x_27_2E0,V0x_2E0,A_27a] :
( lhs_atom71(V1x_27_2E0,V0x_2E0,A_27a)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_105,plain,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( lhs_atom71(V1x_27_2E0,V0x_2E0,A_27a)
| ! [V2x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0)))) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ERES__FORALL__DEF_1,def_lhs_atom71]) ).
fof(def_lhs_atom72,axiom,
! [V1x_27_2E0,V0x_2E0,A_27a] :
( lhs_atom72(V1x_27_2E0,V0x_2E0,A_27a)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_106,plain,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( lhs_atom72(V1x_27_2E0,V0x_2E0,A_27a)
| ~ ! [V2x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0)))) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ERES__FORALL__DEF_0,def_lhs_atom72]) ).
fof(def_lhs_atom73,axiom,
! [V1x_27_2E0,V0x_2E0,A_27a] :
( lhs_atom73(V1x_27_2E0,V0x_2E0,A_27a)
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_107,plain,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( lhs_atom73(V1x_27_2E0,V0x_2E0,A_27a)
| ? [V2x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0)))) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ERES__EXISTS__DEF_1,def_lhs_atom73]) ).
fof(def_lhs_atom74,axiom,
! [V1x_27_2E0,V0x_2E0,A_27a] :
( lhs_atom74(V1x_27_2E0,V0x_2E0,A_27a)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0)))) ),
inference(definition,[],[]) ).
fof(to_be_clausified_108,plain,
! [A_27a,V0x_2E0,V1x_27_2E0] :
( lhs_atom74(V1x_27_2E0,V0x_2E0,A_27a)
| ~ ? [V2x_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(A_27a,V2x_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V0x_2E0))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),V1x_27_2E0),s(A_27a,V2x_2E0)))) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ERES__EXISTS__DEF_0,def_lhs_atom74]) ).
fof(def_lhs_atom75,axiom,
! [V0x_2E0] :
( lhs_atom75(V0x_2E0)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,V0x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(definition,[],[]) ).
fof(to_be_clausified_109,plain,
! [V0x_2E0] :
( lhs_atom75(V0x_2E0)
| $false ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EBOUNDED__DEF_0,def_lhs_atom75]) ).
fof(def_lhs_atom76,axiom,
! [V0x_2E0,A_27a] :
( lhs_atom76(V0x_2E0,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(A_27a,V0x_2E0))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(definition,[],[]) ).
fof(to_be_clausified_110,plain,
! [A_27a,V0x_2E0] :
( lhs_atom76(V0x_2E0,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EDATATYPE__TAG__DEF_0,def_lhs_atom76]) ).
% Start CNF derivation
fof(c_0_0,axiom,
! [X19,X8,X3,X4] :
( lhs_atom68(X19,X8,X3,X4)
| ~ ( ! [X22,X23] :
( s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X19),s(X3,X22))) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X19),s(X3,X23)))
=> s(X3,X22) = s(X3,X23) )
& ! [X24] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X24))))
<=> ? [X25] : s(X4,X24) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X19),s(X3,X25))) ) ) ),
file('<stdin>',to_be_clausified_102) ).
fof(c_0_1,axiom,
! [X19,X8,X3,X4] :
( lhs_atom67(X19,X8,X3,X4)
| ( ! [X22,X23] :
( s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X19),s(X3,X22))) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X19),s(X3,X23)))
=> s(X3,X22) = s(X3,X23) )
& ! [X24] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X24))))
<=> ? [X25] : s(X4,X24) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X19),s(X3,X25))) ) ) ),
file('<stdin>',to_be_clausified_101) ).
fof(c_0_2,axiom,
! [X1,X2,X3,X4] :
( lhs_atom1(X1,X2,X3,X4)
| ~ ! [X5] : s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X2),s(X4,X5))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X1),s(X4,X5))) ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_3,axiom,
! [X1,X2,X3,X4] :
( lhs_atom1(X1,X2,X3,X4)
| ~ ! [X5] : s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X2),s(X4,X5))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X1),s(X4,X5))) ),
file('<stdin>',to_be_clausified_0) ).
fof(c_0_4,axiom,
! [X5,X1,X2,X10,X3,X4] :
( lhs_atom7(X5,X1,X2,X10,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_39) ).
fof(c_0_5,axiom,
! [X5,X1,X2,X10,X3,X4] :
( lhs_atom7(X5,X1,X2,X10,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_6) ).
fof(c_0_6,axiom,
! [X12,X13,X4] :
( lhs_atom31(X12,X13,X4)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X4,X13))),s(X4,X12)))) ),
file('<stdin>',to_be_clausified_63) ).
fof(c_0_7,axiom,
! [X12,X13,X4] :
( lhs_atom31(X12,X13,X4)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X4,X13))),s(X4,X12)))) ),
file('<stdin>',to_be_clausified_30) ).
fof(c_0_8,axiom,
! [X12,X13,X4] :
( lhs_atom30(X12,X13,X4)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X4,X13))),s(X4,X12)))) ),
file('<stdin>',to_be_clausified_62) ).
fof(c_0_9,axiom,
! [X12,X13,X4] :
( lhs_atom30(X12,X13,X4)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X4,X13))),s(X4,X12)))) ),
file('<stdin>',to_be_clausified_29) ).
fof(c_0_10,axiom,
! [X8,X3,X4] :
( lhs_atom65(X8,X3,X4)
| ! [X9] :
? [X5] : s(X3,X9) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X8),s(X4,X5))) ),
file('<stdin>',to_be_clausified_99) ).
fof(c_0_11,axiom,
! [X19,X8,X4] :
( lhs_atom72(X19,X8,X4)
| ~ ! [X5] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X4,X5),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X19),s(X4,X5)))) ) ),
file('<stdin>',to_be_clausified_106) ).
fof(c_0_12,axiom,
! [X11,X16,X4] :
( lhs_atom52(X11,X16,X4)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X16),s(X4,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X16)))))) ),
file('<stdin>',to_be_clausified_84) ).
fof(c_0_13,axiom,
! [X19,X8,X4] :
( lhs_atom74(X19,X8,X4)
| ~ ? [X5] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X4,X5),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X19),s(X4,X5)))) ) ),
file('<stdin>',to_be_clausified_108) ).
fof(c_0_14,axiom,
! [X8,X4] :
( lhs_atom60(X8,X4)
| ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8))))
& ! [X11,X18] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X11))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X18)))) )
=> s(X4,X11) = s(X4,X18) ) ) ),
file('<stdin>',to_be_clausified_94) ).
fof(c_0_15,axiom,
! [X8,X3,X4] :
( lhs_atom64(X8,X3,X4)
| ~ ! [X20,X21] :
( s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X8),s(X4,X20))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X8),s(X4,X21)))
=> s(X4,X20) = s(X4,X21) ) ),
file('<stdin>',to_be_clausified_98) ).
fof(c_0_16,axiom,
! [X19,X8,X4] :
( lhs_atom73(X19,X8,X4)
| ? [X5] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X4,X5),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X19),s(X4,X5)))) ) ),
file('<stdin>',to_be_clausified_107) ).
fof(c_0_17,axiom,
! [X19,X8,X4] :
( lhs_atom71(X19,X8,X4)
| ! [X5] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X4,X5),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X19),s(X4,X5)))) ) ),
file('<stdin>',to_be_clausified_105) ).
fof(c_0_18,axiom,
! [X8,X4] :
( lhs_atom61(X8,X4)
| ~ ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8))))
& ! [X11,X18] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X11))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X18)))) )
=> s(X4,X11) = s(X4,X18) ) ) ),
file('<stdin>',to_be_clausified_95) ).
fof(c_0_19,axiom,
! [X2,X4] :
( lhs_atom19(X2,X4)
| ~ ! [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
file('<stdin>',to_be_clausified_51) ).
fof(c_0_20,axiom,
! [X2,X4] :
( lhs_atom19(X2,X4)
| ~ ! [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
file('<stdin>',to_be_clausified_18) ).
fof(c_0_21,axiom,
! [X8,X3,X4] :
( lhs_atom63(X8,X3,X4)
| ! [X20,X21] :
( s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X8),s(X4,X20))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X8),s(X4,X21)))
=> s(X4,X20) = s(X4,X21) ) ),
file('<stdin>',to_be_clausified_97) ).
fof(c_0_22,axiom,
! [X2,X4] :
( lhs_atom21(X2,X4)
| ~ ? [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
file('<stdin>',to_be_clausified_53) ).
fof(c_0_23,axiom,
! [X2,X4] :
( lhs_atom21(X2,X4)
| ~ ? [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
file('<stdin>',to_be_clausified_20) ).
fof(c_0_24,axiom,
! [X2,X4] :
( lhs_atom20(X2,X4)
| ? [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
file('<stdin>',to_be_clausified_52) ).
fof(c_0_25,axiom,
! [X2,X4] :
( lhs_atom20(X2,X4)
| ? [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
file('<stdin>',to_be_clausified_19) ).
fof(c_0_26,axiom,
! [X8,X3,X4] :
( lhs_atom66(X8,X3,X4)
| ~ ! [X9] :
? [X5] : s(X3,X9) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X8),s(X4,X5))) ),
file('<stdin>',to_be_clausified_100) ).
fof(c_0_27,axiom,
! [X8,X4] :
( lhs_atom55(X8,X4)
| ~ ! [X11] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X11))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
file('<stdin>',to_be_clausified_88) ).
fof(c_0_28,axiom,
! [X2,X4] :
( lhs_atom18(X2,X4)
| ! [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
file('<stdin>',to_be_clausified_50) ).
fof(c_0_29,axiom,
! [X2,X4] :
( lhs_atom18(X2,X4)
| ! [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
file('<stdin>',to_be_clausified_17) ).
fof(c_0_30,axiom,
! [X8,X4] :
( lhs_atom54(X8,X4)
| ! [X11] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X11))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
file('<stdin>',to_be_clausified_87) ).
fof(c_0_31,axiom,
! [X19,X8,X3,X4] :
( lhs_atom69(X19,X8,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_103) ).
fof(c_0_32,axiom,
! [X19,X8,X3,X4] :
( lhs_atom62(X19,X8,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_96) ).
fof(c_0_33,axiom,
! [X11,X15,X3,X4] :
( lhs_atom51(X11,X15,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_83) ).
fof(c_0_34,axiom,
! [X14,X12,X13,X4] :
( lhs_atom50(X14,X12,X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_82) ).
fof(c_0_35,axiom,
! [X12,X13,X3,X4] :
( lhs_atom49(X12,X13,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_81) ).
fof(c_0_36,axiom,
! [X12,X13,X3,X4] :
( lhs_atom48(X12,X13,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_80) ).
fof(c_0_37,axiom,
! [X12,X13,X3,X4] :
( lhs_atom43(X12,X13,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_75) ).
fof(c_0_38,axiom,
! [X9,X8,X3,X4] :
( lhs_atom6(X9,X8,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_38) ).
fof(c_0_39,axiom,
! [X9,X8,X3,X4] :
( lhs_atom6(X9,X8,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_40,axiom,
! [X12,X13] :
( lhs_atom23(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
& p(s(tyop_2Emin_2Ebool,X12)) ) ),
file('<stdin>',to_be_clausified_55) ).
fof(c_0_41,axiom,
! [X6,X7] :
( lhs_atom9(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
& p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_41) ).
fof(c_0_42,axiom,
! [X6,X7] :
( lhs_atom2(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
<=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_43,axiom,
! [X12,X13] :
( lhs_atom23(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
& p(s(tyop_2Emin_2Ebool,X12)) ) ),
file('<stdin>',to_be_clausified_22) ).
fof(c_0_44,axiom,
! [X6,X7] :
( lhs_atom9(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
& p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_8) ).
fof(c_0_45,axiom,
! [X6,X7] :
( lhs_atom2(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
<=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_1) ).
fof(c_0_46,axiom,
! [X6,X7,X4] :
( lhs_atom17(X6,X7,X4)
| s(X4,X7) != s(X4,X6) ),
file('<stdin>',to_be_clausified_49) ).
fof(c_0_47,axiom,
! [X6,X7,X4] :
( lhs_atom17(X6,X7,X4)
| s(X4,X7) != s(X4,X6) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_48,axiom,
! [X12,X13] :
( lhs_atom28(X12,X13)
| ( p(s(tyop_2Emin_2Ebool,X13))
=> p(s(tyop_2Emin_2Ebool,X12)) ) ),
file('<stdin>',to_be_clausified_60) ).
fof(c_0_49,axiom,
! [X6,X7] :
( lhs_atom14(X6,X7)
| ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_46) ).
fof(c_0_50,axiom,
! [X12,X13] :
( lhs_atom28(X12,X13)
| ( p(s(tyop_2Emin_2Ebool,X13))
=> p(s(tyop_2Emin_2Ebool,X12)) ) ),
file('<stdin>',to_be_clausified_27) ).
fof(c_0_51,axiom,
! [X6,X7] :
( lhs_atom14(X6,X7)
| ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_13) ).
fof(c_0_52,axiom,
! [X6,X7,X4] :
( lhs_atom16(X6,X7,X4)
| s(X4,X7) = s(X4,X6) ),
file('<stdin>',to_be_clausified_48) ).
fof(c_0_53,axiom,
! [X6,X7,X4] :
( lhs_atom16(X6,X7,X4)
| s(X4,X7) = s(X4,X6) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_54,axiom,
! [X8] :
( lhs_atom59(X8)
| ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
file('<stdin>',to_be_clausified_93) ).
fof(c_0_55,axiom,
! [X12,X13] :
( lhs_atom24(X12,X13)
| p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X12)) ),
file('<stdin>',to_be_clausified_56) ).
fof(c_0_56,axiom,
! [X6,X7] :
( lhs_atom10(X6,X7)
| p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6)) ),
file('<stdin>',to_be_clausified_42) ).
fof(c_0_57,axiom,
! [X12,X13] :
( lhs_atom24(X12,X13)
| p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X12)) ),
file('<stdin>',to_be_clausified_23) ).
fof(c_0_58,axiom,
! [X6,X7] :
( lhs_atom10(X6,X7)
| p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6)) ),
file('<stdin>',to_be_clausified_9) ).
fof(c_0_59,axiom,
! [X12,X13] :
( lhs_atom29(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
=> p(s(tyop_2Emin_2Ebool,X12)) ) ),
file('<stdin>',to_be_clausified_61) ).
fof(c_0_60,axiom,
! [X12,X13] :
( lhs_atom25(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X12)) ) ),
file('<stdin>',to_be_clausified_57) ).
fof(c_0_61,axiom,
! [X6,X7] :
( lhs_atom15(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_47) ).
fof(c_0_62,axiom,
! [X6,X7] :
( lhs_atom11(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_43) ).
fof(c_0_63,axiom,
! [X12,X13] :
( lhs_atom29(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
=> p(s(tyop_2Emin_2Ebool,X12)) ) ),
file('<stdin>',to_be_clausified_28) ).
fof(c_0_64,axiom,
! [X12,X13] :
( lhs_atom25(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X12)) ) ),
file('<stdin>',to_be_clausified_24) ).
fof(c_0_65,axiom,
! [X6,X7] :
( lhs_atom15(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_14) ).
fof(c_0_66,axiom,
! [X6,X7] :
( lhs_atom11(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_10) ).
fof(c_0_67,axiom,
! [X19,X8,X4] :
( lhs_atom70(X19,X8,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_104) ).
fof(c_0_68,axiom,
! [X12,X13,X4] :
( lhs_atom47(X12,X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_79) ).
fof(c_0_69,axiom,
! [X12,X13,X4] :
( lhs_atom46(X12,X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_78) ).
fof(c_0_70,axiom,
! [X12,X13,X4] :
( lhs_atom45(X12,X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_77) ).
fof(c_0_71,axiom,
! [X12,X13,X4] :
( lhs_atom44(X12,X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_76) ).
fof(c_0_72,axiom,
! [X12,X13,X4] :
( lhs_atom42(X12,X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_74) ).
fof(c_0_73,axiom,
! [X13,X3,X4] :
( lhs_atom40(X13,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_72) ).
fof(c_0_74,axiom,
! [X13,X3,X4] :
( lhs_atom38(X13,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_70) ).
fof(c_0_75,axiom,
! [X13] :
( lhs_atom26(X13)
| ~ p(s(tyop_2Emin_2Ebool,X13)) ),
file('<stdin>',to_be_clausified_58) ).
fof(c_0_76,axiom,
! [X7] :
( lhs_atom12(X7)
| ~ p(s(tyop_2Emin_2Ebool,X7)) ),
file('<stdin>',to_be_clausified_44) ).
fof(c_0_77,axiom,
! [X13] :
( lhs_atom26(X13)
| ~ p(s(tyop_2Emin_2Ebool,X13)) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_78,axiom,
! [X7] :
( lhs_atom12(X7)
| ~ p(s(tyop_2Emin_2Ebool,X7)) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_79,axiom,
! [X8] :
( lhs_atom58(X8)
| ~ ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
file('<stdin>',to_be_clausified_92) ).
fof(c_0_80,axiom,
! [X12,X13] :
( lhs_atom22(X12,X13)
| ( p(s(tyop_2Emin_2Ebool,X13))
& p(s(tyop_2Emin_2Ebool,X12)) ) ),
file('<stdin>',to_be_clausified_54) ).
fof(c_0_81,axiom,
! [X6,X7] :
( lhs_atom8(X6,X7)
| ( p(s(tyop_2Emin_2Ebool,X7))
& p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_40) ).
fof(c_0_82,axiom,
! [X12,X13] :
( lhs_atom22(X12,X13)
| ( p(s(tyop_2Emin_2Ebool,X13))
& p(s(tyop_2Emin_2Ebool,X12)) ) ),
file('<stdin>',to_be_clausified_21) ).
fof(c_0_83,axiom,
! [X6,X7] :
( lhs_atom8(X6,X7)
| ( p(s(tyop_2Emin_2Ebool,X7))
& p(s(tyop_2Emin_2Ebool,X6)) ) ),
file('<stdin>',to_be_clausified_7) ).
fof(c_0_84,axiom,
( lhs_atom57
| ~ ! [X17] : p(s(tyop_2Emin_2Ebool,X17)) ),
file('<stdin>',to_be_clausified_91) ).
fof(c_0_85,axiom,
( lhs_atom3
| ~ ! [X8] : s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X8) ),
file('<stdin>',to_be_clausified_86) ).
fof(c_0_86,axiom,
! [X13] :
( lhs_atom27(X13)
| p(s(tyop_2Emin_2Ebool,X13)) ),
file('<stdin>',to_be_clausified_59) ).
fof(c_0_87,axiom,
! [X7] :
( lhs_atom13(X7)
| p(s(tyop_2Emin_2Ebool,X7)) ),
file('<stdin>',to_be_clausified_45) ).
fof(c_0_88,axiom,
! [X13] :
( lhs_atom27(X13)
| p(s(tyop_2Emin_2Ebool,X13)) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_89,axiom,
! [X7] :
( lhs_atom13(X7)
| p(s(tyop_2Emin_2Ebool,X7)) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_90,axiom,
( lhs_atom4
| ! [X17] : p(s(tyop_2Emin_2Ebool,X17)) ),
file('<stdin>',to_be_clausified_90) ).
fof(c_0_91,axiom,
( lhs_atom53
| ! [X8] : s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X8) ),
file('<stdin>',to_be_clausified_85) ).
fof(c_0_92,axiom,
! [X8,X4] :
( lhs_atom76(X8,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_110) ).
fof(c_0_93,axiom,
! [X8,X4] :
( lhs_atom56(X8,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_89) ).
fof(c_0_94,axiom,
! [X13,X4] :
( lhs_atom37(X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_69) ).
fof(c_0_95,axiom,
! [X13,X4] :
( lhs_atom35(X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_67) ).
fof(c_0_96,axiom,
! [X13,X4] :
( lhs_atom34(X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_66) ).
fof(c_0_97,axiom,
! [X13,X4] :
( lhs_atom33(X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_65) ).
fof(c_0_98,axiom,
! [X13,X4] :
( lhs_atom32(X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_64) ).
fof(c_0_99,axiom,
! [X8,X4] :
( lhs_atom5(X8,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_37) ).
fof(c_0_100,axiom,
! [X13,X4] :
( lhs_atom33(X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_101,axiom,
! [X13,X4] :
( lhs_atom32(X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_102,axiom,
! [X8,X4] :
( lhs_atom5(X8,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_103,axiom,
! [X8] :
( lhs_atom75(X8)
| ~ $true ),
file('<stdin>',to_be_clausified_109) ).
fof(c_0_104,axiom,
! [X13] :
( lhs_atom41(X13)
| ~ $true ),
file('<stdin>',to_be_clausified_73) ).
fof(c_0_105,axiom,
! [X13] :
( lhs_atom39(X13)
| ~ $true ),
file('<stdin>',to_be_clausified_71) ).
fof(c_0_106,axiom,
! [X13] :
( lhs_atom36(X13)
| ~ $true ),
file('<stdin>',to_be_clausified_68) ).
fof(c_0_107,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_108,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_109,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_110,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_111,axiom,
! [X19,X8,X3,X4] :
( lhs_atom68(X19,X8,X3,X4)
| ~ ( ! [X22,X23] :
( s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X19),s(X3,X22))) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X19),s(X3,X23)))
=> s(X3,X22) = s(X3,X23) )
& ! [X24] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X24))))
<=> ? [X25] : s(X4,X24) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X19),s(X3,X25))) ) ) ),
c_0_0 ).
fof(c_0_112,axiom,
! [X19,X8,X3,X4] :
( lhs_atom67(X19,X8,X3,X4)
| ( ! [X22,X23] :
( s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X19),s(X3,X22))) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X19),s(X3,X23)))
=> s(X3,X22) = s(X3,X23) )
& ! [X24] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X24))))
<=> ? [X25] : s(X4,X24) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X19),s(X3,X25))) ) ) ),
c_0_1 ).
fof(c_0_113,axiom,
! [X1,X2,X3,X4] :
( lhs_atom1(X1,X2,X3,X4)
| ~ ! [X5] : s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X2),s(X4,X5))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X1),s(X4,X5))) ),
c_0_2 ).
fof(c_0_114,axiom,
! [X1,X2,X3,X4] :
( lhs_atom1(X1,X2,X3,X4)
| ~ ! [X5] : s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X2),s(X4,X5))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X1),s(X4,X5))) ),
c_0_3 ).
fof(c_0_115,plain,
! [X5,X1,X2,X10,X3,X4] : lhs_atom7(X5,X1,X2,X10,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_116,plain,
! [X5,X1,X2,X10,X3,X4] : lhs_atom7(X5,X1,X2,X10,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_117,plain,
! [X12,X13,X4] :
( lhs_atom31(X12,X13,X4)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X4,X13))),s(X4,X12)))) ),
inference(fof_simplification,[status(thm)],[c_0_6]) ).
fof(c_0_118,plain,
! [X12,X13,X4] :
( lhs_atom31(X12,X13,X4)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X4,X13))),s(X4,X12)))) ),
inference(fof_simplification,[status(thm)],[c_0_7]) ).
fof(c_0_119,axiom,
! [X12,X13,X4] :
( lhs_atom30(X12,X13,X4)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X4,X13))),s(X4,X12)))) ),
c_0_8 ).
fof(c_0_120,axiom,
! [X12,X13,X4] :
( lhs_atom30(X12,X13,X4)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X4,X13))),s(X4,X12)))) ),
c_0_9 ).
fof(c_0_121,axiom,
! [X8,X3,X4] :
( lhs_atom65(X8,X3,X4)
| ! [X9] :
? [X5] : s(X3,X9) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X8),s(X4,X5))) ),
c_0_10 ).
fof(c_0_122,axiom,
! [X19,X8,X4] :
( lhs_atom72(X19,X8,X4)
| ~ ! [X5] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X4,X5),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X19),s(X4,X5)))) ) ),
c_0_11 ).
fof(c_0_123,axiom,
! [X11,X16,X4] :
( lhs_atom52(X11,X16,X4)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X16),s(X4,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X16)))))) ),
c_0_12 ).
fof(c_0_124,axiom,
! [X19,X8,X4] :
( lhs_atom74(X19,X8,X4)
| ~ ? [X5] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X4,X5),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X19),s(X4,X5)))) ) ),
c_0_13 ).
fof(c_0_125,axiom,
! [X8,X4] :
( lhs_atom60(X8,X4)
| ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8))))
& ! [X11,X18] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X11))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X18)))) )
=> s(X4,X11) = s(X4,X18) ) ) ),
c_0_14 ).
fof(c_0_126,axiom,
! [X8,X3,X4] :
( lhs_atom64(X8,X3,X4)
| ~ ! [X20,X21] :
( s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X8),s(X4,X20))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X8),s(X4,X21)))
=> s(X4,X20) = s(X4,X21) ) ),
c_0_15 ).
fof(c_0_127,axiom,
! [X19,X8,X4] :
( lhs_atom73(X19,X8,X4)
| ? [X5] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X4,X5),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X19),s(X4,X5)))) ) ),
c_0_16 ).
fof(c_0_128,axiom,
! [X19,X8,X4] :
( lhs_atom71(X19,X8,X4)
| ! [X5] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X4,X5),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8))))
=> p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X19),s(X4,X5)))) ) ),
c_0_17 ).
fof(c_0_129,axiom,
! [X8,X4] :
( lhs_atom61(X8,X4)
| ~ ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8))))
& ! [X11,X18] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X11))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X18)))) )
=> s(X4,X11) = s(X4,X18) ) ) ),
c_0_18 ).
fof(c_0_130,axiom,
! [X2,X4] :
( lhs_atom19(X2,X4)
| ~ ! [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
c_0_19 ).
fof(c_0_131,axiom,
! [X2,X4] :
( lhs_atom19(X2,X4)
| ~ ! [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
c_0_20 ).
fof(c_0_132,axiom,
! [X8,X3,X4] :
( lhs_atom63(X8,X3,X4)
| ! [X20,X21] :
( s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X8),s(X4,X20))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X8),s(X4,X21)))
=> s(X4,X20) = s(X4,X21) ) ),
c_0_21 ).
fof(c_0_133,axiom,
! [X2,X4] :
( lhs_atom21(X2,X4)
| ~ ? [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
c_0_22 ).
fof(c_0_134,axiom,
! [X2,X4] :
( lhs_atom21(X2,X4)
| ~ ? [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
c_0_23 ).
fof(c_0_135,axiom,
! [X2,X4] :
( lhs_atom20(X2,X4)
| ? [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
c_0_24 ).
fof(c_0_136,axiom,
! [X2,X4] :
( lhs_atom20(X2,X4)
| ? [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
c_0_25 ).
fof(c_0_137,axiom,
! [X8,X3,X4] :
( lhs_atom66(X8,X3,X4)
| ~ ! [X9] :
? [X5] : s(X3,X9) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X8),s(X4,X5))) ),
c_0_26 ).
fof(c_0_138,axiom,
! [X8,X4] :
( lhs_atom55(X8,X4)
| ~ ! [X11] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X11))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
c_0_27 ).
fof(c_0_139,axiom,
! [X2,X4] :
( lhs_atom18(X2,X4)
| ! [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
c_0_28 ).
fof(c_0_140,axiom,
! [X2,X4] :
( lhs_atom18(X2,X4)
| ! [X11] : p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X11)))) ),
c_0_29 ).
fof(c_0_141,axiom,
! [X8,X4] :
( lhs_atom54(X8,X4)
| ! [X11] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X8),s(X4,X11))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
c_0_30 ).
fof(c_0_142,plain,
! [X19,X8,X3,X4] : lhs_atom69(X19,X8,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_143,plain,
! [X19,X8,X3,X4] : lhs_atom62(X19,X8,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_144,plain,
! [X11,X15,X3,X4] : lhs_atom51(X11,X15,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_145,plain,
! [X14,X12,X13,X4] : lhs_atom50(X14,X12,X13,X4),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_146,plain,
! [X12,X13,X3,X4] : lhs_atom49(X12,X13,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_147,plain,
! [X12,X13,X3,X4] : lhs_atom48(X12,X13,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_36]) ).
fof(c_0_148,plain,
! [X12,X13,X3,X4] : lhs_atom43(X12,X13,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_37]) ).
fof(c_0_149,plain,
! [X9,X8,X3,X4] : lhs_atom6(X9,X8,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_150,plain,
! [X9,X8,X3,X4] : lhs_atom6(X9,X8,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_151,axiom,
! [X12,X13] :
( lhs_atom23(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
& p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_40 ).
fof(c_0_152,axiom,
! [X6,X7] :
( lhs_atom9(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
& p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_41 ).
fof(c_0_153,axiom,
! [X6,X7] :
( lhs_atom2(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
<=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_42 ).
fof(c_0_154,axiom,
! [X12,X13] :
( lhs_atom23(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
& p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_43 ).
fof(c_0_155,axiom,
! [X6,X7] :
( lhs_atom9(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
& p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_44 ).
fof(c_0_156,axiom,
! [X6,X7] :
( lhs_atom2(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
<=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_45 ).
fof(c_0_157,plain,
! [X6,X7,X4] :
( lhs_atom17(X6,X7,X4)
| s(X4,X7) != s(X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_46]) ).
fof(c_0_158,plain,
! [X6,X7,X4] :
( lhs_atom17(X6,X7,X4)
| s(X4,X7) != s(X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_47]) ).
fof(c_0_159,axiom,
! [X12,X13] :
( lhs_atom28(X12,X13)
| ( p(s(tyop_2Emin_2Ebool,X13))
=> p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_48 ).
fof(c_0_160,axiom,
! [X6,X7] :
( lhs_atom14(X6,X7)
| ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_49 ).
fof(c_0_161,axiom,
! [X12,X13] :
( lhs_atom28(X12,X13)
| ( p(s(tyop_2Emin_2Ebool,X13))
=> p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_50 ).
fof(c_0_162,axiom,
! [X6,X7] :
( lhs_atom14(X6,X7)
| ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_51 ).
fof(c_0_163,axiom,
! [X6,X7,X4] :
( lhs_atom16(X6,X7,X4)
| s(X4,X7) = s(X4,X6) ),
c_0_52 ).
fof(c_0_164,axiom,
! [X6,X7,X4] :
( lhs_atom16(X6,X7,X4)
| s(X4,X7) = s(X4,X6) ),
c_0_53 ).
fof(c_0_165,axiom,
! [X8] :
( lhs_atom59(X8)
| ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
c_0_54 ).
fof(c_0_166,axiom,
! [X12,X13] :
( lhs_atom24(X12,X13)
| p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X12)) ),
c_0_55 ).
fof(c_0_167,axiom,
! [X6,X7] :
( lhs_atom10(X6,X7)
| p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6)) ),
c_0_56 ).
fof(c_0_168,axiom,
! [X12,X13] :
( lhs_atom24(X12,X13)
| p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X12)) ),
c_0_57 ).
fof(c_0_169,axiom,
! [X6,X7] :
( lhs_atom10(X6,X7)
| p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6)) ),
c_0_58 ).
fof(c_0_170,axiom,
! [X12,X13] :
( lhs_atom29(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
=> p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_59 ).
fof(c_0_171,axiom,
! [X12,X13] :
( lhs_atom25(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_60 ).
fof(c_0_172,axiom,
! [X6,X7] :
( lhs_atom15(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_61 ).
fof(c_0_173,axiom,
! [X6,X7] :
( lhs_atom11(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_62 ).
fof(c_0_174,axiom,
! [X12,X13] :
( lhs_atom29(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
=> p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_63 ).
fof(c_0_175,axiom,
! [X12,X13] :
( lhs_atom25(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_64 ).
fof(c_0_176,axiom,
! [X6,X7] :
( lhs_atom15(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_65 ).
fof(c_0_177,axiom,
! [X6,X7] :
( lhs_atom11(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_66 ).
fof(c_0_178,plain,
! [X19,X8,X4] : lhs_atom70(X19,X8,X4),
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_179,plain,
! [X12,X13,X4] : lhs_atom47(X12,X13,X4),
inference(fof_simplification,[status(thm)],[c_0_68]) ).
fof(c_0_180,plain,
! [X12,X13,X4] : lhs_atom46(X12,X13,X4),
inference(fof_simplification,[status(thm)],[c_0_69]) ).
fof(c_0_181,plain,
! [X12,X13,X4] : lhs_atom45(X12,X13,X4),
inference(fof_simplification,[status(thm)],[c_0_70]) ).
fof(c_0_182,plain,
! [X12,X13,X4] : lhs_atom44(X12,X13,X4),
inference(fof_simplification,[status(thm)],[c_0_71]) ).
fof(c_0_183,plain,
! [X12,X13,X4] : lhs_atom42(X12,X13,X4),
inference(fof_simplification,[status(thm)],[c_0_72]) ).
fof(c_0_184,plain,
! [X13,X3,X4] : lhs_atom40(X13,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_73]) ).
fof(c_0_185,plain,
! [X13,X3,X4] : lhs_atom38(X13,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_74]) ).
fof(c_0_186,plain,
! [X13] :
( lhs_atom26(X13)
| ~ p(s(tyop_2Emin_2Ebool,X13)) ),
inference(fof_simplification,[status(thm)],[c_0_75]) ).
fof(c_0_187,plain,
! [X7] :
( lhs_atom12(X7)
| ~ p(s(tyop_2Emin_2Ebool,X7)) ),
inference(fof_simplification,[status(thm)],[c_0_76]) ).
fof(c_0_188,plain,
! [X13] :
( lhs_atom26(X13)
| ~ p(s(tyop_2Emin_2Ebool,X13)) ),
inference(fof_simplification,[status(thm)],[c_0_77]) ).
fof(c_0_189,plain,
! [X7] :
( lhs_atom12(X7)
| ~ p(s(tyop_2Emin_2Ebool,X7)) ),
inference(fof_simplification,[status(thm)],[c_0_78]) ).
fof(c_0_190,axiom,
! [X8] :
( lhs_atom58(X8)
| ~ ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
c_0_79 ).
fof(c_0_191,axiom,
! [X12,X13] :
( lhs_atom22(X12,X13)
| ( p(s(tyop_2Emin_2Ebool,X13))
& p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_80 ).
fof(c_0_192,axiom,
! [X6,X7] :
( lhs_atom8(X6,X7)
| ( p(s(tyop_2Emin_2Ebool,X7))
& p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_81 ).
fof(c_0_193,axiom,
! [X12,X13] :
( lhs_atom22(X12,X13)
| ( p(s(tyop_2Emin_2Ebool,X13))
& p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_82 ).
fof(c_0_194,axiom,
! [X6,X7] :
( lhs_atom8(X6,X7)
| ( p(s(tyop_2Emin_2Ebool,X7))
& p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_83 ).
fof(c_0_195,axiom,
( lhs_atom57
| ~ ! [X17] : p(s(tyop_2Emin_2Ebool,X17)) ),
c_0_84 ).
fof(c_0_196,axiom,
( lhs_atom3
| ~ ! [X8] : s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X8) ),
c_0_85 ).
fof(c_0_197,axiom,
! [X13] :
( lhs_atom27(X13)
| p(s(tyop_2Emin_2Ebool,X13)) ),
c_0_86 ).
fof(c_0_198,axiom,
! [X7] :
( lhs_atom13(X7)
| p(s(tyop_2Emin_2Ebool,X7)) ),
c_0_87 ).
fof(c_0_199,axiom,
! [X13] :
( lhs_atom27(X13)
| p(s(tyop_2Emin_2Ebool,X13)) ),
c_0_88 ).
fof(c_0_200,axiom,
! [X7] :
( lhs_atom13(X7)
| p(s(tyop_2Emin_2Ebool,X7)) ),
c_0_89 ).
fof(c_0_201,axiom,
( lhs_atom4
| ! [X17] : p(s(tyop_2Emin_2Ebool,X17)) ),
c_0_90 ).
fof(c_0_202,axiom,
( lhs_atom53
| ! [X8] : s(tyop_2Emin_2Ebool,X8) = s(tyop_2Emin_2Ebool,X8) ),
c_0_91 ).
fof(c_0_203,plain,
! [X8,X4] : lhs_atom76(X8,X4),
inference(fof_simplification,[status(thm)],[c_0_92]) ).
fof(c_0_204,plain,
! [X8,X4] : lhs_atom56(X8,X4),
inference(fof_simplification,[status(thm)],[c_0_93]) ).
fof(c_0_205,plain,
! [X13,X4] : lhs_atom37(X13,X4),
inference(fof_simplification,[status(thm)],[c_0_94]) ).
fof(c_0_206,plain,
! [X13,X4] : lhs_atom35(X13,X4),
inference(fof_simplification,[status(thm)],[c_0_95]) ).
fof(c_0_207,plain,
! [X13,X4] : lhs_atom34(X13,X4),
inference(fof_simplification,[status(thm)],[c_0_96]) ).
fof(c_0_208,plain,
! [X13,X4] : lhs_atom33(X13,X4),
inference(fof_simplification,[status(thm)],[c_0_97]) ).
fof(c_0_209,plain,
! [X13,X4] : lhs_atom32(X13,X4),
inference(fof_simplification,[status(thm)],[c_0_98]) ).
fof(c_0_210,plain,
! [X8,X4] : lhs_atom5(X8,X4),
inference(fof_simplification,[status(thm)],[c_0_99]) ).
fof(c_0_211,plain,
! [X13,X4] : lhs_atom33(X13,X4),
inference(fof_simplification,[status(thm)],[c_0_100]) ).
fof(c_0_212,plain,
! [X13,X4] : lhs_atom32(X13,X4),
inference(fof_simplification,[status(thm)],[c_0_101]) ).
fof(c_0_213,plain,
! [X8,X4] : lhs_atom5(X8,X4),
inference(fof_simplification,[status(thm)],[c_0_102]) ).
fof(c_0_214,plain,
! [X8] : lhs_atom75(X8),
inference(fof_simplification,[status(thm)],[c_0_103]) ).
fof(c_0_215,plain,
! [X13] : lhs_atom41(X13),
inference(fof_simplification,[status(thm)],[c_0_104]) ).
fof(c_0_216,plain,
! [X13] : lhs_atom39(X13),
inference(fof_simplification,[status(thm)],[c_0_105]) ).
fof(c_0_217,plain,
! [X13] : lhs_atom36(X13),
inference(fof_simplification,[status(thm)],[c_0_106]) ).
fof(c_0_218,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_107]) ).
fof(c_0_219,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_108]) ).
fof(c_0_220,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_109]) ).
fof(c_0_221,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_110]) ).
fof(c_0_222,plain,
! [X26,X27,X28,X29,X33] :
( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X29,tyop_2Emin_2Ebool),X27),s(X29,esk19_4(X26,X27,X28,X29)))))
| s(X29,esk19_4(X26,X27,X28,X29)) != s(X29,app_2E2(s(tyop_2Emin_2Efun(X28,X29),X26),s(X28,X33)))
| s(X29,app_2E2(s(tyop_2Emin_2Efun(X28,X29),X26),s(X28,esk17_4(X26,X27,X28,X29)))) = s(X29,app_2E2(s(tyop_2Emin_2Efun(X28,X29),X26),s(X28,esk18_4(X26,X27,X28,X29))))
| lhs_atom68(X26,X27,X28,X29) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X29,tyop_2Emin_2Ebool),X27),s(X29,esk19_4(X26,X27,X28,X29)))))
| s(X29,esk19_4(X26,X27,X28,X29)) = s(X29,app_2E2(s(tyop_2Emin_2Efun(X28,X29),X26),s(X28,esk20_4(X26,X27,X28,X29))))
| s(X29,app_2E2(s(tyop_2Emin_2Efun(X28,X29),X26),s(X28,esk17_4(X26,X27,X28,X29)))) = s(X29,app_2E2(s(tyop_2Emin_2Efun(X28,X29),X26),s(X28,esk18_4(X26,X27,X28,X29))))
| lhs_atom68(X26,X27,X28,X29) )
& ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X29,tyop_2Emin_2Ebool),X27),s(X29,esk19_4(X26,X27,X28,X29)))))
| s(X29,esk19_4(X26,X27,X28,X29)) != s(X29,app_2E2(s(tyop_2Emin_2Efun(X28,X29),X26),s(X28,X33)))
| s(X28,esk17_4(X26,X27,X28,X29)) != s(X28,esk18_4(X26,X27,X28,X29))
| lhs_atom68(X26,X27,X28,X29) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X29,tyop_2Emin_2Ebool),X27),s(X29,esk19_4(X26,X27,X28,X29)))))
| s(X29,esk19_4(X26,X27,X28,X29)) = s(X29,app_2E2(s(tyop_2Emin_2Efun(X28,X29),X26),s(X28,esk20_4(X26,X27,X28,X29))))
| s(X28,esk17_4(X26,X27,X28,X29)) != s(X28,esk18_4(X26,X27,X28,X29))
| lhs_atom68(X26,X27,X28,X29) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_111])])])])]) ).
fof(c_0_223,plain,
! [X26,X27,X28,X29,X30,X31,X32,X34,X35] :
( ( s(X29,app_2E2(s(tyop_2Emin_2Efun(X28,X29),X26),s(X28,X30))) != s(X29,app_2E2(s(tyop_2Emin_2Efun(X28,X29),X26),s(X28,X31)))
| s(X28,X30) = s(X28,X31)
| lhs_atom67(X26,X27,X28,X29) )
& ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X29,tyop_2Emin_2Ebool),X27),s(X29,X32))))
| s(X29,X32) = s(X29,app_2E2(s(tyop_2Emin_2Efun(X28,X29),X26),s(X28,esk16_5(X26,X27,X28,X29,X32))))
| lhs_atom67(X26,X27,X28,X29) )
& ( s(X29,X34) != s(X29,app_2E2(s(tyop_2Emin_2Efun(X28,X29),X26),s(X28,X35)))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X29,tyop_2Emin_2Ebool),X27),s(X29,X34))))
| lhs_atom67(X26,X27,X28,X29) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_112])])])])])]) ).
fof(c_0_224,plain,
! [X6,X7,X8,X9] :
( lhs_atom1(X6,X7,X8,X9)
| s(X8,app_2E2(s(tyop_2Emin_2Efun(X9,X8),X7),s(X9,esk4_4(X6,X7,X8,X9)))) != s(X8,app_2E2(s(tyop_2Emin_2Efun(X9,X8),X6),s(X9,esk4_4(X6,X7,X8,X9)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_113])])]) ).
fof(c_0_225,plain,
! [X6,X7,X8,X9] :
( lhs_atom1(X6,X7,X8,X9)
| s(X8,app_2E2(s(tyop_2Emin_2Efun(X9,X8),X7),s(X9,esk1_4(X6,X7,X8,X9)))) != s(X8,app_2E2(s(tyop_2Emin_2Efun(X9,X8),X6),s(X9,esk1_4(X6,X7,X8,X9)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_114])])]) ).
fof(c_0_226,plain,
! [X11,X12,X13,X14,X15,X16] : lhs_atom7(X11,X12,X13,X14,X15,X16),
inference(variable_rename,[status(thm)],[c_0_115]) ).
fof(c_0_227,plain,
! [X11,X12,X13,X14,X15,X16] : lhs_atom7(X11,X12,X13,X14,X15,X16),
inference(variable_rename,[status(thm)],[c_0_116]) ).
fof(c_0_228,plain,
! [X14,X15,X16] :
( lhs_atom31(X14,X15,X16)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X16,X15))),s(X16,X14)))) ),
inference(variable_rename,[status(thm)],[c_0_117]) ).
fof(c_0_229,plain,
! [X14,X15,X16] :
( lhs_atom31(X14,X15,X16)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X16,X15))),s(X16,X14)))) ),
inference(variable_rename,[status(thm)],[c_0_118]) ).
fof(c_0_230,plain,
! [X14,X15,X16] :
( lhs_atom30(X14,X15,X16)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X16,X15))),s(X16,X14)))) ),
inference(variable_rename,[status(thm)],[c_0_119]) ).
fof(c_0_231,plain,
! [X14,X15,X16] :
( lhs_atom30(X14,X15,X16)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X16,tyop_2Emin_2Efun(X16,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X16,X15))),s(X16,X14)))) ),
inference(variable_rename,[status(thm)],[c_0_120]) ).
fof(c_0_232,plain,
! [X10,X11,X12,X13] :
( lhs_atom65(X10,X11,X12)
| s(X11,X13) = s(X11,app_2E2(s(tyop_2Emin_2Efun(X12,X11),X10),s(X12,esk14_4(X10,X11,X12,X13)))) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_121])])]) ).
fof(c_0_233,plain,
! [X20,X21,X22] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X22,esk21_3(X20,X21,X22)),s(tyop_2Emin_2Efun(X22,tyop_2Emin_2Ebool),X21))))
| lhs_atom72(X20,X21,X22) )
& ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X22,tyop_2Emin_2Ebool),X20),s(X22,esk21_3(X20,X21,X22)))))
| lhs_atom72(X20,X21,X22) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_122])])])]) ).
fof(c_0_234,plain,
! [X17,X18,X19] :
( lhs_atom52(X17,X18,X19)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X19,tyop_2Emin_2Ebool),X18),s(X19,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X19,tyop_2Emin_2Ebool),X18)))))) ),
inference(variable_rename,[status(thm)],[c_0_123]) ).
fof(c_0_235,plain,
! [X20,X21,X22,X23] :
( lhs_atom74(X20,X21,X22)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X22,X23),s(tyop_2Emin_2Efun(X22,tyop_2Emin_2Ebool),X21))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X22,tyop_2Emin_2Ebool),X20),s(X22,X23)))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_124])])]) ).
fof(c_0_236,plain,
! [X19,X20,X21,X22] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X20,tyop_2Emin_2Ebool),X19))))
| lhs_atom60(X19,X20) )
& ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X20,tyop_2Emin_2Ebool),X19),s(X20,X21))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X20,tyop_2Emin_2Ebool),X19),s(X20,X22))))
| s(X20,X21) = s(X20,X22)
| lhs_atom60(X19,X20) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_125])])])]) ).
fof(c_0_237,plain,
! [X22,X23,X24] :
( ( s(X23,app_2E2(s(tyop_2Emin_2Efun(X24,X23),X22),s(X24,esk12_3(X22,X23,X24)))) = s(X23,app_2E2(s(tyop_2Emin_2Efun(X24,X23),X22),s(X24,esk13_3(X22,X23,X24))))
| lhs_atom64(X22,X23,X24) )
& ( s(X24,esk12_3(X22,X23,X24)) != s(X24,esk13_3(X22,X23,X24))
| lhs_atom64(X22,X23,X24) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_126])])])]) ).
fof(c_0_238,plain,
! [X20,X21,X22] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X22,esk22_3(X20,X21,X22)),s(tyop_2Emin_2Efun(X22,tyop_2Emin_2Ebool),X21))))
| lhs_atom73(X20,X21,X22) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X22,tyop_2Emin_2Ebool),X20),s(X22,esk22_3(X20,X21,X22)))))
| lhs_atom73(X20,X21,X22) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_127])])]) ).
fof(c_0_239,plain,
! [X20,X21,X22,X23] :
( lhs_atom71(X20,X21,X22)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X22,X23),s(tyop_2Emin_2Efun(X22,tyop_2Emin_2Ebool),X21))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X22,tyop_2Emin_2Ebool),X20),s(X22,X23)))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_128])])]) ).
fof(c_0_240,plain,
! [X19,X20] :
( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X20,tyop_2Emin_2Ebool),X19),s(X20,esk10_2(X19,X20)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X20,tyop_2Emin_2Ebool),X19))))
| lhs_atom61(X19,X20) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X20,tyop_2Emin_2Ebool),X19),s(X20,esk11_2(X19,X20)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X20,tyop_2Emin_2Ebool),X19))))
| lhs_atom61(X19,X20) )
& ( s(X20,esk10_2(X19,X20)) != s(X20,esk11_2(X19,X20))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X20,tyop_2Emin_2Ebool),X19))))
| lhs_atom61(X19,X20) ) ),
inference(distribute,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_129])])])]) ).
fof(c_0_241,plain,
! [X12,X13] :
( lhs_atom19(X12,X13)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X12),s(X13,esk5_2(X12,X13))))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_130])])]) ).
fof(c_0_242,plain,
! [X12,X13] :
( lhs_atom19(X12,X13)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X12),s(X13,esk2_2(X12,X13))))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_131])])]) ).
fof(c_0_243,plain,
! [X22,X23,X24,X25,X26] :
( lhs_atom63(X22,X23,X24)
| s(X23,app_2E2(s(tyop_2Emin_2Efun(X24,X23),X22),s(X24,X25))) != s(X23,app_2E2(s(tyop_2Emin_2Efun(X24,X23),X22),s(X24,X26)))
| s(X24,X25) = s(X24,X26) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_132])])]) ).
fof(c_0_244,plain,
! [X12,X13,X14] :
( lhs_atom21(X12,X13)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X12),s(X13,X14)))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_133])])]) ).
fof(c_0_245,plain,
! [X12,X13,X14] :
( lhs_atom21(X12,X13)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X12),s(X13,X14)))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_134])])]) ).
fof(c_0_246,plain,
! [X12,X13] :
( lhs_atom20(X12,X13)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X12),s(X13,esk6_2(X12,X13))))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_135])]) ).
fof(c_0_247,plain,
! [X12,X13] :
( lhs_atom20(X12,X13)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X12),s(X13,esk3_2(X12,X13))))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_136])]) ).
fof(c_0_248,plain,
! [X10,X11,X12,X14] :
( lhs_atom66(X10,X11,X12)
| s(X11,esk15_3(X10,X11,X12)) != s(X11,app_2E2(s(tyop_2Emin_2Efun(X12,X11),X10),s(X12,X14))) ),
inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_137])])])]) ).
fof(c_0_249,plain,
! [X12,X13] :
( lhs_atom55(X12,X13)
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X12),s(X13,esk8_2(X12,X13)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_138])])]) ).
fof(c_0_250,plain,
! [X12,X13,X14] :
( lhs_atom18(X12,X13)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X12),s(X13,X14)))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_139])]) ).
fof(c_0_251,plain,
! [X12,X13,X14] :
( lhs_atom18(X12,X13)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X12),s(X13,X14)))) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_140])]) ).
fof(c_0_252,plain,
! [X12,X13,X14] :
( lhs_atom54(X12,X13)
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X12),s(X13,X14))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_141])]) ).
fof(c_0_253,plain,
! [X20,X21,X22,X23] : lhs_atom69(X20,X21,X22,X23),
inference(variable_rename,[status(thm)],[c_0_142]) ).
fof(c_0_254,plain,
! [X20,X21,X22,X23] : lhs_atom62(X20,X21,X22,X23),
inference(variable_rename,[status(thm)],[c_0_143]) ).
fof(c_0_255,plain,
! [X16,X17,X18,X19] : lhs_atom51(X16,X17,X18,X19),
inference(variable_rename,[status(thm)],[c_0_144]) ).
fof(c_0_256,plain,
! [X15,X16,X17,X18] : lhs_atom50(X15,X16,X17,X18),
inference(variable_rename,[status(thm)],[c_0_145]) ).
fof(c_0_257,plain,
! [X14,X15,X16,X17] : lhs_atom49(X14,X15,X16,X17),
inference(variable_rename,[status(thm)],[c_0_146]) ).
fof(c_0_258,plain,
! [X14,X15,X16,X17] : lhs_atom48(X14,X15,X16,X17),
inference(variable_rename,[status(thm)],[c_0_147]) ).
fof(c_0_259,plain,
! [X14,X15,X16,X17] : lhs_atom43(X14,X15,X16,X17),
inference(variable_rename,[status(thm)],[c_0_148]) ).
fof(c_0_260,plain,
! [X10,X11,X12,X13] : lhs_atom6(X10,X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_149]) ).
fof(c_0_261,plain,
! [X10,X11,X12,X13] : lhs_atom6(X10,X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_150]) ).
fof(c_0_262,plain,
! [X14,X15] :
( lhs_atom23(X14,X15)
| ~ p(s(tyop_2Emin_2Ebool,X15))
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_151])]) ).
fof(c_0_263,plain,
! [X8,X9] :
( lhs_atom9(X8,X9)
| ~ p(s(tyop_2Emin_2Ebool,X9))
| ~ p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_152])]) ).
fof(c_0_264,plain,
! [X8,X9] :
( ( ~ p(s(tyop_2Emin_2Ebool,X9))
| ~ p(s(tyop_2Emin_2Ebool,X8))
| lhs_atom2(X8,X9) )
& ( p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X8))
| lhs_atom2(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_153])])]) ).
fof(c_0_265,plain,
! [X14,X15] :
( lhs_atom23(X14,X15)
| ~ p(s(tyop_2Emin_2Ebool,X15))
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_154])]) ).
fof(c_0_266,plain,
! [X8,X9] :
( lhs_atom9(X8,X9)
| ~ p(s(tyop_2Emin_2Ebool,X9))
| ~ p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_155])]) ).
fof(c_0_267,plain,
! [X8,X9] :
( ( ~ p(s(tyop_2Emin_2Ebool,X9))
| ~ p(s(tyop_2Emin_2Ebool,X8))
| lhs_atom2(X8,X9) )
& ( p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X8))
| lhs_atom2(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_156])])]) ).
fof(c_0_268,plain,
! [X8,X9,X10] :
( lhs_atom17(X8,X9,X10)
| s(X10,X9) != s(X10,X8) ),
inference(variable_rename,[status(thm)],[c_0_157]) ).
fof(c_0_269,plain,
! [X8,X9,X10] :
( lhs_atom17(X8,X9,X10)
| s(X10,X9) != s(X10,X8) ),
inference(variable_rename,[status(thm)],[c_0_158]) ).
fof(c_0_270,plain,
! [X14,X15] :
( lhs_atom28(X14,X15)
| ~ p(s(tyop_2Emin_2Ebool,X15))
| p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_159])]) ).
fof(c_0_271,plain,
! [X8,X9] :
( lhs_atom14(X8,X9)
| ~ p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_160])]) ).
fof(c_0_272,plain,
! [X14,X15] :
( lhs_atom28(X14,X15)
| ~ p(s(tyop_2Emin_2Ebool,X15))
| p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_161])]) ).
fof(c_0_273,plain,
! [X8,X9] :
( lhs_atom14(X8,X9)
| ~ p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_162])]) ).
fof(c_0_274,plain,
! [X8,X9,X10] :
( lhs_atom16(X8,X9,X10)
| s(X10,X9) = s(X10,X8) ),
inference(variable_rename,[status(thm)],[c_0_163]) ).
fof(c_0_275,plain,
! [X8,X9,X10] :
( lhs_atom16(X8,X9,X10)
| s(X10,X9) = s(X10,X8) ),
inference(variable_rename,[status(thm)],[c_0_164]) ).
fof(c_0_276,plain,
! [X9] :
( lhs_atom59(X9)
| ~ p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_165])]) ).
fof(c_0_277,plain,
! [X14,X15] :
( lhs_atom24(X14,X15)
| p(s(tyop_2Emin_2Ebool,X15))
| p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[c_0_166]) ).
fof(c_0_278,plain,
! [X8,X9] :
( lhs_atom10(X8,X9)
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[c_0_167]) ).
fof(c_0_279,plain,
! [X14,X15] :
( lhs_atom24(X14,X15)
| p(s(tyop_2Emin_2Ebool,X15))
| p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[c_0_168]) ).
fof(c_0_280,plain,
! [X8,X9] :
( lhs_atom10(X8,X9)
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[c_0_169]) ).
fof(c_0_281,plain,
! [X14,X15] :
( ( p(s(tyop_2Emin_2Ebool,X15))
| lhs_atom29(X14,X15) )
& ( ~ p(s(tyop_2Emin_2Ebool,X14))
| lhs_atom29(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_170])])]) ).
fof(c_0_282,plain,
! [X14,X15] :
( ( ~ p(s(tyop_2Emin_2Ebool,X15))
| lhs_atom25(X14,X15) )
& ( ~ p(s(tyop_2Emin_2Ebool,X14))
| lhs_atom25(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_171])])]) ).
fof(c_0_283,plain,
! [X8,X9] :
( ( p(s(tyop_2Emin_2Ebool,X9))
| lhs_atom15(X8,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X8))
| lhs_atom15(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_172])])]) ).
fof(c_0_284,plain,
! [X8,X9] :
( ( ~ p(s(tyop_2Emin_2Ebool,X9))
| lhs_atom11(X8,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X8))
| lhs_atom11(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_173])])]) ).
fof(c_0_285,plain,
! [X14,X15] :
( ( p(s(tyop_2Emin_2Ebool,X15))
| lhs_atom29(X14,X15) )
& ( ~ p(s(tyop_2Emin_2Ebool,X14))
| lhs_atom29(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_174])])]) ).
fof(c_0_286,plain,
! [X14,X15] :
( ( ~ p(s(tyop_2Emin_2Ebool,X15))
| lhs_atom25(X14,X15) )
& ( ~ p(s(tyop_2Emin_2Ebool,X14))
| lhs_atom25(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_175])])]) ).
fof(c_0_287,plain,
! [X8,X9] :
( ( p(s(tyop_2Emin_2Ebool,X9))
| lhs_atom15(X8,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X8))
| lhs_atom15(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_176])])]) ).
fof(c_0_288,plain,
! [X8,X9] :
( ( ~ p(s(tyop_2Emin_2Ebool,X9))
| lhs_atom11(X8,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X8))
| lhs_atom11(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_177])])]) ).
fof(c_0_289,plain,
! [X20,X21,X22] : lhs_atom70(X20,X21,X22),
inference(variable_rename,[status(thm)],[c_0_178]) ).
fof(c_0_290,plain,
! [X14,X15,X16] : lhs_atom47(X14,X15,X16),
inference(variable_rename,[status(thm)],[c_0_179]) ).
fof(c_0_291,plain,
! [X14,X15,X16] : lhs_atom46(X14,X15,X16),
inference(variable_rename,[status(thm)],[c_0_180]) ).
fof(c_0_292,plain,
! [X14,X15,X16] : lhs_atom45(X14,X15,X16),
inference(variable_rename,[status(thm)],[c_0_181]) ).
fof(c_0_293,plain,
! [X14,X15,X16] : lhs_atom44(X14,X15,X16),
inference(variable_rename,[status(thm)],[c_0_182]) ).
fof(c_0_294,plain,
! [X14,X15,X16] : lhs_atom42(X14,X15,X16),
inference(variable_rename,[status(thm)],[c_0_183]) ).
fof(c_0_295,plain,
! [X14,X15,X16] : lhs_atom40(X14,X15,X16),
inference(variable_rename,[status(thm)],[c_0_184]) ).
fof(c_0_296,plain,
! [X14,X15,X16] : lhs_atom38(X14,X15,X16),
inference(variable_rename,[status(thm)],[c_0_185]) ).
fof(c_0_297,plain,
! [X14] :
( lhs_atom26(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[c_0_186]) ).
fof(c_0_298,plain,
! [X8] :
( lhs_atom12(X8)
| ~ p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[c_0_187]) ).
fof(c_0_299,plain,
! [X14] :
( lhs_atom26(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[c_0_188]) ).
fof(c_0_300,plain,
! [X8] :
( lhs_atom12(X8)
| ~ p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[c_0_189]) ).
fof(c_0_301,plain,
! [X9] :
( ( p(s(tyop_2Emin_2Ebool,X9))
| lhs_atom58(X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| lhs_atom58(X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_190])])]) ).
fof(c_0_302,plain,
! [X14,X15] :
( ( p(s(tyop_2Emin_2Ebool,X15))
| lhs_atom22(X14,X15) )
& ( p(s(tyop_2Emin_2Ebool,X14))
| lhs_atom22(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_191])]) ).
fof(c_0_303,plain,
! [X8,X9] :
( ( p(s(tyop_2Emin_2Ebool,X9))
| lhs_atom8(X8,X9) )
& ( p(s(tyop_2Emin_2Ebool,X8))
| lhs_atom8(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_192])]) ).
fof(c_0_304,plain,
! [X14,X15] :
( ( p(s(tyop_2Emin_2Ebool,X15))
| lhs_atom22(X14,X15) )
& ( p(s(tyop_2Emin_2Ebool,X14))
| lhs_atom22(X14,X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_193])]) ).
fof(c_0_305,plain,
! [X8,X9] :
( ( p(s(tyop_2Emin_2Ebool,X9))
| lhs_atom8(X8,X9) )
& ( p(s(tyop_2Emin_2Ebool,X8))
| lhs_atom8(X8,X9) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_194])]) ).
fof(c_0_306,plain,
( lhs_atom57
| ~ p(s(tyop_2Emin_2Ebool,esk9_0)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_195])])]) ).
fof(c_0_307,plain,
( lhs_atom3
| s(tyop_2Emin_2Ebool,esk7_0) != s(tyop_2Emin_2Ebool,esk7_0) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_196])])]) ).
fof(c_0_308,plain,
! [X14] :
( lhs_atom27(X14)
| p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[c_0_197]) ).
fof(c_0_309,plain,
! [X8] :
( lhs_atom13(X8)
| p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[c_0_198]) ).
fof(c_0_310,plain,
! [X14] :
( lhs_atom27(X14)
| p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[c_0_199]) ).
fof(c_0_311,plain,
! [X8] :
( lhs_atom13(X8)
| p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[c_0_200]) ).
fof(c_0_312,plain,
! [X18] :
( lhs_atom4
| p(s(tyop_2Emin_2Ebool,X18)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_201])]) ).
fof(c_0_313,plain,
! [X9] :
( lhs_atom53
| s(tyop_2Emin_2Ebool,X9) = s(tyop_2Emin_2Ebool,X9) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_202])]) ).
fof(c_0_314,plain,
! [X9,X10] : lhs_atom76(X9,X10),
inference(variable_rename,[status(thm)],[c_0_203]) ).
fof(c_0_315,plain,
! [X9,X10] : lhs_atom56(X9,X10),
inference(variable_rename,[status(thm)],[c_0_204]) ).
fof(c_0_316,plain,
! [X14,X15] : lhs_atom37(X14,X15),
inference(variable_rename,[status(thm)],[c_0_205]) ).
fof(c_0_317,plain,
! [X14,X15] : lhs_atom35(X14,X15),
inference(variable_rename,[status(thm)],[c_0_206]) ).
fof(c_0_318,plain,
! [X14,X15] : lhs_atom34(X14,X15),
inference(variable_rename,[status(thm)],[c_0_207]) ).
fof(c_0_319,plain,
! [X14,X15] : lhs_atom33(X14,X15),
inference(variable_rename,[status(thm)],[c_0_208]) ).
fof(c_0_320,plain,
! [X14,X15] : lhs_atom32(X14,X15),
inference(variable_rename,[status(thm)],[c_0_209]) ).
fof(c_0_321,plain,
! [X9,X10] : lhs_atom5(X9,X10),
inference(variable_rename,[status(thm)],[c_0_210]) ).
fof(c_0_322,plain,
! [X14,X15] : lhs_atom33(X14,X15),
inference(variable_rename,[status(thm)],[c_0_211]) ).
fof(c_0_323,plain,
! [X14,X15] : lhs_atom32(X14,X15),
inference(variable_rename,[status(thm)],[c_0_212]) ).
fof(c_0_324,plain,
! [X9,X10] : lhs_atom5(X9,X10),
inference(variable_rename,[status(thm)],[c_0_213]) ).
fof(c_0_325,plain,
! [X9] : lhs_atom75(X9),
inference(variable_rename,[status(thm)],[c_0_214]) ).
fof(c_0_326,plain,
! [X14] : lhs_atom41(X14),
inference(variable_rename,[status(thm)],[c_0_215]) ).
fof(c_0_327,plain,
! [X14] : lhs_atom39(X14),
inference(variable_rename,[status(thm)],[c_0_216]) ).
fof(c_0_328,plain,
! [X14] : lhs_atom36(X14),
inference(variable_rename,[status(thm)],[c_0_217]) ).
fof(c_0_329,plain,
lhs_atom4,
c_0_218 ).
fof(c_0_330,plain,
lhs_atom3,
c_0_219 ).
fof(c_0_331,plain,
lhs_atom4,
c_0_220 ).
fof(c_0_332,plain,
lhs_atom3,
c_0_221 ).
cnf(c_0_333,plain,
( lhs_atom68(X1,X2,X3,X4)
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,esk17_4(X1,X2,X3,X4)))) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,esk18_4(X1,X2,X3,X4))))
| s(X4,esk19_4(X1,X2,X3,X4)) != s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,X5)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,esk19_4(X1,X2,X3,X4))))) ),
inference(split_conjunct,[status(thm)],[c_0_222]) ).
cnf(c_0_334,plain,
( lhs_atom68(X1,X2,X3,X4)
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,esk17_4(X1,X2,X3,X4)))) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,esk18_4(X1,X2,X3,X4))))
| s(X4,esk19_4(X1,X2,X3,X4)) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,esk20_4(X1,X2,X3,X4))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,esk19_4(X1,X2,X3,X4))))) ),
inference(split_conjunct,[status(thm)],[c_0_222]) ).
cnf(c_0_335,plain,
( lhs_atom67(X1,X2,X3,X4)
| s(X4,X5) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,esk16_5(X1,X2,X3,X4,X5))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X5)))) ),
inference(split_conjunct,[status(thm)],[c_0_223]) ).
cnf(c_0_336,plain,
( lhs_atom68(X1,X2,X3,X4)
| s(X3,esk17_4(X1,X2,X3,X4)) != s(X3,esk18_4(X1,X2,X3,X4))
| s(X4,esk19_4(X1,X2,X3,X4)) != s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,X5)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,esk19_4(X1,X2,X3,X4))))) ),
inference(split_conjunct,[status(thm)],[c_0_222]) ).
cnf(c_0_337,plain,
( lhs_atom68(X1,X2,X3,X4)
| s(X4,esk19_4(X1,X2,X3,X4)) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,esk20_4(X1,X2,X3,X4))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,esk19_4(X1,X2,X3,X4)))))
| s(X3,esk17_4(X1,X2,X3,X4)) != s(X3,esk18_4(X1,X2,X3,X4)) ),
inference(split_conjunct,[status(thm)],[c_0_222]) ).
cnf(c_0_338,plain,
( lhs_atom1(X4,X3,X1,X2)
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X3),s(X2,esk4_4(X4,X3,X1,X2)))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X4),s(X2,esk4_4(X4,X3,X1,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_224]) ).
cnf(c_0_339,plain,
( lhs_atom1(X4,X3,X1,X2)
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X3),s(X2,esk1_4(X4,X3,X1,X2)))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X4),s(X2,esk1_4(X4,X3,X1,X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_225]) ).
cnf(c_0_340,plain,
lhs_atom7(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_226]) ).
cnf(c_0_341,plain,
lhs_atom7(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_227]) ).
cnf(c_0_342,plain,
( lhs_atom31(X3,X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_228]) ).
cnf(c_0_343,plain,
( lhs_atom31(X3,X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_229]) ).
cnf(c_0_344,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3))))
| lhs_atom30(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_230]) ).
cnf(c_0_345,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3))))
| lhs_atom30(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_231]) ).
cnf(c_0_346,plain,
( s(X1,X2) = s(X1,app_2E2(s(tyop_2Emin_2Efun(X3,X1),X4),s(X3,esk14_4(X4,X1,X3,X2))))
| lhs_atom65(X4,X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_232]) ).
cnf(c_0_347,plain,
( lhs_atom72(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1),s(X3,esk21_3(X1,X2,X3))))) ),
inference(split_conjunct,[status(thm)],[c_0_233]) ).
cnf(c_0_348,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))))
| lhs_atom52(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_234]) ).
cnf(c_0_349,plain,
( lhs_atom74(X2,X4,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_235]) ).
cnf(c_0_350,plain,
( lhs_atom60(X1,X2)
| s(X2,X3) = s(X2,X4)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1),s(X2,X4))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1),s(X2,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_351,plain,
( lhs_atom64(X1,X2,X3)
| s(X2,app_2E2(s(tyop_2Emin_2Efun(X3,X2),X1),s(X3,esk12_3(X1,X2,X3)))) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X3,X2),X1),s(X3,esk13_3(X1,X2,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_237]) ).
cnf(c_0_352,plain,
( lhs_atom73(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X3,esk22_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_238]) ).
cnf(c_0_353,plain,
( lhs_atom73(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1),s(X3,esk22_3(X1,X2,X3))))) ),
inference(split_conjunct,[status(thm)],[c_0_238]) ).
cnf(c_0_354,plain,
( lhs_atom72(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X3,esk21_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_233]) ).
cnf(c_0_355,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
| lhs_atom71(X2,X4,X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4)))) ),
inference(split_conjunct,[status(thm)],[c_0_239]) ).
cnf(c_0_356,plain,
( lhs_atom61(X1,X2)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1),s(X2,esk10_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_240]) ).
cnf(c_0_357,plain,
( lhs_atom61(X1,X2)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1),s(X2,esk11_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_240]) ).
cnf(c_0_358,plain,
( lhs_atom67(X1,X2,X3,X4)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X5))))
| s(X4,X5) != s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_223]) ).
cnf(c_0_359,plain,
( lhs_atom19(X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk5_2(X2,X1))))) ),
inference(split_conjunct,[status(thm)],[c_0_241]) ).
cnf(c_0_360,plain,
( lhs_atom19(X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk2_2(X2,X1))))) ),
inference(split_conjunct,[status(thm)],[c_0_242]) ).
cnf(c_0_361,plain,
( lhs_atom67(X1,X2,X3,X4)
| s(X3,X5) = s(X3,X6)
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,X5))) != s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,X6))) ),
inference(split_conjunct,[status(thm)],[c_0_223]) ).
cnf(c_0_362,plain,
( s(X1,X2) = s(X1,X3)
| lhs_atom63(X5,X4,X1)
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X1,X4),X5),s(X1,X2))) != s(X4,app_2E2(s(tyop_2Emin_2Efun(X1,X4),X5),s(X1,X3))) ),
inference(split_conjunct,[status(thm)],[c_0_243]) ).
cnf(c_0_363,plain,
( lhs_atom21(X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_244]) ).
cnf(c_0_364,plain,
( lhs_atom21(X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
inference(split_conjunct,[status(thm)],[c_0_245]) ).
cnf(c_0_365,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk6_2(X2,X1)))))
| lhs_atom20(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_246]) ).
cnf(c_0_366,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk3_2(X2,X1)))))
| lhs_atom20(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_247]) ).
cnf(c_0_367,plain,
( lhs_atom61(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))))
| s(X2,esk10_2(X1,X2)) != s(X2,esk11_2(X1,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_240]) ).
cnf(c_0_368,plain,
( lhs_atom66(X2,X1,X3)
| s(X1,esk15_3(X2,X1,X3)) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X3,X1),X2),s(X3,X4))) ),
inference(split_conjunct,[status(thm)],[c_0_248]) ).
cnf(c_0_369,plain,
( lhs_atom55(X2,X1)
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk8_2(X2,X1)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(split_conjunct,[status(thm)],[c_0_249]) ).
cnf(c_0_370,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
| lhs_atom18(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_250]) ).
cnf(c_0_371,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
| lhs_atom18(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_251]) ).
cnf(c_0_372,plain,
( lhs_atom64(X1,X2,X3)
| s(X3,esk12_3(X1,X2,X3)) != s(X3,esk13_3(X1,X2,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_237]) ).
cnf(c_0_373,plain,
( lhs_atom60(X1,X2)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1)))) ),
inference(split_conjunct,[status(thm)],[c_0_236]) ).
cnf(c_0_374,plain,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| lhs_atom54(X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_252]) ).
cnf(c_0_375,plain,
lhs_atom69(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_253]) ).
cnf(c_0_376,plain,
lhs_atom62(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_254]) ).
cnf(c_0_377,plain,
lhs_atom51(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_255]) ).
cnf(c_0_378,plain,
lhs_atom50(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_256]) ).
cnf(c_0_379,plain,
lhs_atom49(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_257]) ).
cnf(c_0_380,plain,
lhs_atom48(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_258]) ).
cnf(c_0_381,plain,
lhs_atom43(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_259]) ).
cnf(c_0_382,plain,
lhs_atom6(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_260]) ).
cnf(c_0_383,plain,
lhs_atom6(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_261]) ).
cnf(c_0_384,plain,
( lhs_atom23(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_262]) ).
cnf(c_0_385,plain,
( lhs_atom9(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_263]) ).
cnf(c_0_386,plain,
( lhs_atom2(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_264]) ).
cnf(c_0_387,plain,
( lhs_atom23(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_265]) ).
cnf(c_0_388,plain,
( lhs_atom9(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_266]) ).
cnf(c_0_389,plain,
( lhs_atom2(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_267]) ).
cnf(c_0_390,plain,
( lhs_atom17(X3,X2,X1)
| s(X1,X2) != s(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_268]) ).
cnf(c_0_391,plain,
( lhs_atom17(X3,X2,X1)
| s(X1,X2) != s(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_269]) ).
cnf(c_0_392,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom28(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_270]) ).
cnf(c_0_393,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom14(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_271]) ).
cnf(c_0_394,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom28(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_272]) ).
cnf(c_0_395,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom14(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_273]) ).
cnf(c_0_396,plain,
( s(X1,X2) = s(X1,X3)
| lhs_atom16(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_274]) ).
cnf(c_0_397,plain,
( s(X1,X2) = s(X1,X3)
| lhs_atom16(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_275]) ).
cnf(c_0_398,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| lhs_atom59(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_276]) ).
cnf(c_0_399,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom24(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_277]) ).
cnf(c_0_400,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom10(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_278]) ).
cnf(c_0_401,plain,
( lhs_atom2(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_264]) ).
cnf(c_0_402,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom24(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_279]) ).
cnf(c_0_403,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom10(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_280]) ).
cnf(c_0_404,plain,
( lhs_atom2(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_267]) ).
cnf(c_0_405,plain,
( lhs_atom29(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_281]) ).
cnf(c_0_406,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_282]) ).
cnf(c_0_407,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_282]) ).
cnf(c_0_408,plain,
( lhs_atom15(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_283]) ).
cnf(c_0_409,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_284]) ).
cnf(c_0_410,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_284]) ).
cnf(c_0_411,plain,
( lhs_atom29(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_285]) ).
cnf(c_0_412,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_286]) ).
cnf(c_0_413,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_286]) ).
cnf(c_0_414,plain,
( lhs_atom15(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_287]) ).
cnf(c_0_415,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_288]) ).
cnf(c_0_416,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_288]) ).
cnf(c_0_417,plain,
lhs_atom70(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_289]) ).
cnf(c_0_418,plain,
lhs_atom47(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_290]) ).
cnf(c_0_419,plain,
lhs_atom46(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_291]) ).
cnf(c_0_420,plain,
lhs_atom45(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_292]) ).
cnf(c_0_421,plain,
lhs_atom44(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_293]) ).
cnf(c_0_422,plain,
lhs_atom42(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_294]) ).
cnf(c_0_423,plain,
lhs_atom40(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_295]) ).
cnf(c_0_424,plain,
lhs_atom38(X1,X2,X3),
inference(split_conjunct,[status(thm)],[c_0_296]) ).
cnf(c_0_425,plain,
( lhs_atom26(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_297]) ).
cnf(c_0_426,plain,
( lhs_atom12(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_298]) ).
cnf(c_0_427,plain,
( lhs_atom26(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_299]) ).
cnf(c_0_428,plain,
( lhs_atom12(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_300]) ).
cnf(c_0_429,plain,
( lhs_atom58(X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_301]) ).
cnf(c_0_430,plain,
( lhs_atom29(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_281]) ).
cnf(c_0_431,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_302]) ).
cnf(c_0_432,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_302]) ).
cnf(c_0_433,plain,
( lhs_atom15(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_283]) ).
cnf(c_0_434,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_303]) ).
cnf(c_0_435,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_303]) ).
cnf(c_0_436,plain,
( lhs_atom29(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_285]) ).
cnf(c_0_437,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_304]) ).
cnf(c_0_438,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_304]) ).
cnf(c_0_439,plain,
( lhs_atom15(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_287]) ).
cnf(c_0_440,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_305]) ).
cnf(c_0_441,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_305]) ).
cnf(c_0_442,plain,
( lhs_atom57
| ~ p(s(tyop_2Emin_2Ebool,esk9_0)) ),
inference(split_conjunct,[status(thm)],[c_0_306]) ).
cnf(c_0_443,plain,
( lhs_atom3
| $false ),
inference(split_conjunct,[status(thm)],[c_0_307]) ).
cnf(c_0_444,plain,
( lhs_atom58(X1)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_301]) ).
cnf(c_0_445,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom27(X1) ),
inference(split_conjunct,[status(thm)],[c_0_308]) ).
cnf(c_0_446,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom13(X1) ),
inference(split_conjunct,[status(thm)],[c_0_309]) ).
cnf(c_0_447,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom27(X1) ),
inference(split_conjunct,[status(thm)],[c_0_310]) ).
cnf(c_0_448,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom13(X1) ),
inference(split_conjunct,[status(thm)],[c_0_311]) ).
cnf(c_0_449,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom4 ),
inference(split_conjunct,[status(thm)],[c_0_312]) ).
cnf(c_0_450,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X1)
| lhs_atom53 ),
inference(split_conjunct,[status(thm)],[c_0_313]) ).
cnf(c_0_451,plain,
lhs_atom76(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_314]) ).
cnf(c_0_452,plain,
lhs_atom56(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_315]) ).
cnf(c_0_453,plain,
lhs_atom37(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_316]) ).
cnf(c_0_454,plain,
lhs_atom35(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_317]) ).
cnf(c_0_455,plain,
lhs_atom34(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_318]) ).
cnf(c_0_456,plain,
lhs_atom33(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_319]) ).
cnf(c_0_457,plain,
lhs_atom32(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_320]) ).
cnf(c_0_458,plain,
lhs_atom5(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_321]) ).
cnf(c_0_459,plain,
lhs_atom33(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_322]) ).
cnf(c_0_460,plain,
lhs_atom32(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_323]) ).
cnf(c_0_461,plain,
lhs_atom5(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_324]) ).
cnf(c_0_462,plain,
lhs_atom75(X1),
inference(split_conjunct,[status(thm)],[c_0_325]) ).
cnf(c_0_463,plain,
lhs_atom41(X1),
inference(split_conjunct,[status(thm)],[c_0_326]) ).
cnf(c_0_464,plain,
lhs_atom39(X1),
inference(split_conjunct,[status(thm)],[c_0_327]) ).
cnf(c_0_465,plain,
lhs_atom36(X1),
inference(split_conjunct,[status(thm)],[c_0_328]) ).
cnf(c_0_466,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_329]) ).
cnf(c_0_467,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_330]) ).
cnf(c_0_468,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_331]) ).
cnf(c_0_469,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_332]) ).
cnf(c_0_470,plain,
( lhs_atom68(X1,X2,X3,X4)
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,esk18_4(X1,X2,X3,X4)))) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,esk17_4(X1,X2,X3,X4))))
| s(X4,esk19_4(X1,X2,X3,X4)) != s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,X5)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,esk19_4(X1,X2,X3,X4))))) ),
c_0_333,
[final] ).
cnf(c_0_471,plain,
( lhs_atom68(X1,X2,X3,X4)
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,esk18_4(X1,X2,X3,X4)))) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,esk17_4(X1,X2,X3,X4))))
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,esk20_4(X1,X2,X3,X4)))) = s(X4,esk19_4(X1,X2,X3,X4))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,esk19_4(X1,X2,X3,X4))))) ),
c_0_334,
[final] ).
cnf(c_0_472,plain,
( lhs_atom67(X1,X2,X3,X4)
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,esk16_5(X1,X2,X3,X4,X5)))) = s(X4,X5)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X5)))) ),
c_0_335,
[final] ).
cnf(c_0_473,plain,
( lhs_atom68(X1,X2,X3,X4)
| s(X3,esk18_4(X1,X2,X3,X4)) != s(X3,esk17_4(X1,X2,X3,X4))
| s(X4,esk19_4(X1,X2,X3,X4)) != s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,X5)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,esk19_4(X1,X2,X3,X4))))) ),
c_0_336,
[final] ).
cnf(c_0_474,plain,
( lhs_atom68(X1,X2,X3,X4)
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,esk20_4(X1,X2,X3,X4)))) = s(X4,esk19_4(X1,X2,X3,X4))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,esk19_4(X1,X2,X3,X4)))))
| s(X3,esk18_4(X1,X2,X3,X4)) != s(X3,esk17_4(X1,X2,X3,X4)) ),
c_0_337,
[final] ).
cnf(c_0_475,plain,
( lhs_atom1(X4,X3,X1,X2)
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X3),s(X2,esk4_4(X4,X3,X1,X2)))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X4),s(X2,esk4_4(X4,X3,X1,X2)))) ),
c_0_338,
[final] ).
cnf(c_0_476,plain,
( lhs_atom1(X4,X3,X1,X2)
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X3),s(X2,esk1_4(X4,X3,X1,X2)))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X4),s(X2,esk1_4(X4,X3,X1,X2)))) ),
c_0_339,
[final] ).
cnf(c_0_477,plain,
lhs_atom7(X1,X2,X3,X4,X5,X6),
c_0_340,
[final] ).
cnf(c_0_478,plain,
lhs_atom7(X1,X2,X3,X4,X5,X6),
c_0_341,
[final] ).
cnf(c_0_479,plain,
( lhs_atom31(X3,X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
c_0_342,
[final] ).
cnf(c_0_480,plain,
( lhs_atom31(X3,X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
c_0_343,
[final] ).
cnf(c_0_481,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3))))
| lhs_atom30(X3,X2,X1) ),
c_0_344,
[final] ).
cnf(c_0_482,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3))))
| lhs_atom30(X3,X2,X1) ),
c_0_345,
[final] ).
cnf(c_0_483,plain,
( s(X1,app_2E2(s(tyop_2Emin_2Efun(X3,X1),X4),s(X3,esk14_4(X4,X1,X3,X2)))) = s(X1,X2)
| lhs_atom65(X4,X1,X3) ),
c_0_346,
[final] ).
cnf(c_0_484,plain,
( lhs_atom72(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1),s(X3,esk21_3(X1,X2,X3))))) ),
c_0_347,
[final] ).
cnf(c_0_485,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))))
| lhs_atom52(X3,X2,X1) ),
c_0_348,
[final] ).
cnf(c_0_486,plain,
( lhs_atom74(X2,X4,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4)))) ),
c_0_349,
[final] ).
cnf(c_0_487,plain,
( lhs_atom60(X1,X2)
| s(X2,X3) = s(X2,X4)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1),s(X2,X4))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1),s(X2,X3)))) ),
c_0_350,
[final] ).
cnf(c_0_488,plain,
( lhs_atom64(X1,X2,X3)
| s(X2,app_2E2(s(tyop_2Emin_2Efun(X3,X2),X1),s(X3,esk13_3(X1,X2,X3)))) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X3,X2),X1),s(X3,esk12_3(X1,X2,X3)))) ),
c_0_351,
[final] ).
cnf(c_0_489,plain,
( lhs_atom73(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X3,esk22_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2)))) ),
c_0_352,
[final] ).
cnf(c_0_490,plain,
( lhs_atom73(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1),s(X3,esk22_3(X1,X2,X3))))) ),
c_0_353,
[final] ).
cnf(c_0_491,plain,
( lhs_atom72(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X3,esk21_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2)))) ),
c_0_354,
[final] ).
cnf(c_0_492,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
| lhs_atom71(X2,X4,X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4)))) ),
c_0_355,
[final] ).
cnf(c_0_493,plain,
( lhs_atom61(X1,X2)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1),s(X2,esk10_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1)))) ),
c_0_356,
[final] ).
cnf(c_0_494,plain,
( lhs_atom61(X1,X2)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1),s(X2,esk11_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1)))) ),
c_0_357,
[final] ).
cnf(c_0_495,plain,
( lhs_atom67(X1,X2,X3,X4)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X5))))
| s(X4,X5) != s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,X6))) ),
c_0_358,
[final] ).
cnf(c_0_496,plain,
( lhs_atom19(X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk5_2(X2,X1))))) ),
c_0_359,
[final] ).
cnf(c_0_497,plain,
( lhs_atom19(X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk2_2(X2,X1))))) ),
c_0_360,
[final] ).
cnf(c_0_498,plain,
( lhs_atom67(X1,X2,X3,X4)
| s(X3,X5) = s(X3,X6)
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,X5))) != s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,X6))) ),
c_0_361,
[final] ).
cnf(c_0_499,plain,
( s(X1,X2) = s(X1,X3)
| lhs_atom63(X5,X4,X1)
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X1,X4),X5),s(X1,X2))) != s(X4,app_2E2(s(tyop_2Emin_2Efun(X1,X4),X5),s(X1,X3))) ),
c_0_362,
[final] ).
cnf(c_0_500,plain,
( lhs_atom21(X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
c_0_363,
[final] ).
cnf(c_0_501,plain,
( lhs_atom21(X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
c_0_364,
[final] ).
cnf(c_0_502,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk6_2(X2,X1)))))
| lhs_atom20(X2,X1) ),
c_0_365,
[final] ).
cnf(c_0_503,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk3_2(X2,X1)))))
| lhs_atom20(X2,X1) ),
c_0_366,
[final] ).
cnf(c_0_504,plain,
( lhs_atom61(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))))
| s(X2,esk11_2(X1,X2)) != s(X2,esk10_2(X1,X2)) ),
c_0_367,
[final] ).
cnf(c_0_505,plain,
( lhs_atom66(X2,X1,X3)
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X3,X1),X2),s(X3,X4))) != s(X1,esk15_3(X2,X1,X3)) ),
c_0_368,
[final] ).
cnf(c_0_506,plain,
( lhs_atom55(X2,X1)
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,esk8_2(X2,X1)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
c_0_369,
[final] ).
cnf(c_0_507,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
| lhs_atom18(X2,X1) ),
c_0_370,
[final] ).
cnf(c_0_508,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
| lhs_atom18(X2,X1) ),
c_0_371,
[final] ).
cnf(c_0_509,plain,
( lhs_atom64(X1,X2,X3)
| s(X3,esk13_3(X1,X2,X3)) != s(X3,esk12_3(X1,X2,X3)) ),
c_0_372,
[final] ).
cnf(c_0_510,plain,
( lhs_atom60(X1,X2)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1)))) ),
c_0_373,
[final] ).
cnf(c_0_511,plain,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| lhs_atom54(X2,X1) ),
c_0_374,
[final] ).
cnf(c_0_512,plain,
lhs_atom69(X1,X2,X3,X4),
c_0_375,
[final] ).
cnf(c_0_513,plain,
lhs_atom62(X1,X2,X3,X4),
c_0_376,
[final] ).
cnf(c_0_514,plain,
lhs_atom51(X1,X2,X3,X4),
c_0_377,
[final] ).
cnf(c_0_515,plain,
lhs_atom50(X1,X2,X3,X4),
c_0_378,
[final] ).
cnf(c_0_516,plain,
lhs_atom49(X1,X2,X3,X4),
c_0_379,
[final] ).
cnf(c_0_517,plain,
lhs_atom48(X1,X2,X3,X4),
c_0_380,
[final] ).
cnf(c_0_518,plain,
lhs_atom43(X1,X2,X3,X4),
c_0_381,
[final] ).
cnf(c_0_519,plain,
lhs_atom6(X1,X2,X3,X4),
c_0_382,
[final] ).
cnf(c_0_520,plain,
lhs_atom6(X1,X2,X3,X4),
c_0_383,
[final] ).
cnf(c_0_521,plain,
( lhs_atom23(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_384,
[final] ).
cnf(c_0_522,plain,
( lhs_atom9(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_385,
[final] ).
cnf(c_0_523,plain,
( lhs_atom2(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_386,
[final] ).
cnf(c_0_524,plain,
( lhs_atom23(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_387,
[final] ).
cnf(c_0_525,plain,
( lhs_atom9(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_388,
[final] ).
cnf(c_0_526,plain,
( lhs_atom2(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_389,
[final] ).
cnf(c_0_527,plain,
( lhs_atom17(X3,X2,X1)
| s(X1,X2) != s(X1,X3) ),
c_0_390,
[final] ).
cnf(c_0_528,plain,
( lhs_atom17(X3,X2,X1)
| s(X1,X2) != s(X1,X3) ),
c_0_391,
[final] ).
cnf(c_0_529,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom28(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_392,
[final] ).
cnf(c_0_530,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom14(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_393,
[final] ).
cnf(c_0_531,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom28(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_394,
[final] ).
cnf(c_0_532,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom14(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_395,
[final] ).
cnf(c_0_533,plain,
( s(X1,X2) = s(X1,X3)
| lhs_atom16(X3,X2,X1) ),
c_0_396,
[final] ).
cnf(c_0_534,plain,
( s(X1,X2) = s(X1,X3)
| lhs_atom16(X3,X2,X1) ),
c_0_397,
[final] ).
cnf(c_0_535,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| lhs_atom59(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_398,
[final] ).
cnf(c_0_536,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom24(X1,X2) ),
c_0_399,
[final] ).
cnf(c_0_537,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom10(X1,X2) ),
c_0_400,
[final] ).
cnf(c_0_538,plain,
( lhs_atom2(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_401,
[final] ).
cnf(c_0_539,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom24(X1,X2) ),
c_0_402,
[final] ).
cnf(c_0_540,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom10(X1,X2) ),
c_0_403,
[final] ).
cnf(c_0_541,plain,
( lhs_atom2(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_404,
[final] ).
cnf(c_0_542,plain,
( lhs_atom29(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_405,
[final] ).
cnf(c_0_543,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_406,
[final] ).
cnf(c_0_544,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_407,
[final] ).
cnf(c_0_545,plain,
( lhs_atom15(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_408,
[final] ).
cnf(c_0_546,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_409,
[final] ).
cnf(c_0_547,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_410,
[final] ).
cnf(c_0_548,plain,
( lhs_atom29(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_411,
[final] ).
cnf(c_0_549,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_412,
[final] ).
cnf(c_0_550,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_413,
[final] ).
cnf(c_0_551,plain,
( lhs_atom15(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_414,
[final] ).
cnf(c_0_552,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_415,
[final] ).
cnf(c_0_553,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_416,
[final] ).
cnf(c_0_554,plain,
lhs_atom70(X1,X2,X3),
c_0_417,
[final] ).
cnf(c_0_555,plain,
lhs_atom47(X1,X2,X3),
c_0_418,
[final] ).
cnf(c_0_556,plain,
lhs_atom46(X1,X2,X3),
c_0_419,
[final] ).
cnf(c_0_557,plain,
lhs_atom45(X1,X2,X3),
c_0_420,
[final] ).
cnf(c_0_558,plain,
lhs_atom44(X1,X2,X3),
c_0_421,
[final] ).
cnf(c_0_559,plain,
lhs_atom42(X1,X2,X3),
c_0_422,
[final] ).
cnf(c_0_560,plain,
lhs_atom40(X1,X2,X3),
c_0_423,
[final] ).
cnf(c_0_561,plain,
lhs_atom38(X1,X2,X3),
c_0_424,
[final] ).
cnf(c_0_562,plain,
( lhs_atom26(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_425,
[final] ).
cnf(c_0_563,plain,
( lhs_atom12(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_426,
[final] ).
cnf(c_0_564,plain,
( lhs_atom26(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_427,
[final] ).
cnf(c_0_565,plain,
( lhs_atom12(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_428,
[final] ).
cnf(c_0_566,plain,
( lhs_atom58(X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_429,
[final] ).
cnf(c_0_567,plain,
( lhs_atom29(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_430,
[final] ).
cnf(c_0_568,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_431,
[final] ).
cnf(c_0_569,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_432,
[final] ).
cnf(c_0_570,plain,
( lhs_atom15(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_433,
[final] ).
cnf(c_0_571,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_434,
[final] ).
cnf(c_0_572,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_435,
[final] ).
cnf(c_0_573,plain,
( lhs_atom29(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_436,
[final] ).
cnf(c_0_574,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_437,
[final] ).
cnf(c_0_575,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_438,
[final] ).
cnf(c_0_576,plain,
( lhs_atom15(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_439,
[final] ).
cnf(c_0_577,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_440,
[final] ).
cnf(c_0_578,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_441,
[final] ).
cnf(c_0_579,plain,
( lhs_atom57
| ~ p(s(tyop_2Emin_2Ebool,esk9_0)) ),
c_0_442,
[final] ).
cnf(c_0_580,plain,
( lhs_atom3
| $false ),
c_0_443,
[final] ).
cnf(c_0_581,plain,
( lhs_atom58(X1)
| p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_444,
[final] ).
cnf(c_0_582,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom27(X1) ),
c_0_445,
[final] ).
cnf(c_0_583,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom13(X1) ),
c_0_446,
[final] ).
cnf(c_0_584,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom27(X1) ),
c_0_447,
[final] ).
cnf(c_0_585,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom13(X1) ),
c_0_448,
[final] ).
cnf(c_0_586,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom4 ),
c_0_449,
[final] ).
cnf(c_0_587,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X1)
| lhs_atom53 ),
c_0_450,
[final] ).
cnf(c_0_588,plain,
lhs_atom76(X1,X2),
c_0_451,
[final] ).
cnf(c_0_589,plain,
lhs_atom56(X1,X2),
c_0_452,
[final] ).
cnf(c_0_590,plain,
lhs_atom37(X1,X2),
c_0_453,
[final] ).
cnf(c_0_591,plain,
lhs_atom35(X1,X2),
c_0_454,
[final] ).
cnf(c_0_592,plain,
lhs_atom34(X1,X2),
c_0_455,
[final] ).
cnf(c_0_593,plain,
lhs_atom33(X1,X2),
c_0_456,
[final] ).
cnf(c_0_594,plain,
lhs_atom32(X1,X2),
c_0_457,
[final] ).
cnf(c_0_595,plain,
lhs_atom5(X1,X2),
c_0_458,
[final] ).
cnf(c_0_596,plain,
lhs_atom33(X1,X2),
c_0_459,
[final] ).
cnf(c_0_597,plain,
lhs_atom32(X1,X2),
c_0_460,
[final] ).
cnf(c_0_598,plain,
lhs_atom5(X1,X2),
c_0_461,
[final] ).
cnf(c_0_599,plain,
lhs_atom75(X1),
c_0_462,
[final] ).
cnf(c_0_600,plain,
lhs_atom41(X1),
c_0_463,
[final] ).
cnf(c_0_601,plain,
lhs_atom39(X1),
c_0_464,
[final] ).
cnf(c_0_602,plain,
lhs_atom36(X1),
c_0_465,
[final] ).
cnf(c_0_603,plain,
lhs_atom4,
c_0_466,
[final] ).
cnf(c_0_604,plain,
lhs_atom3,
c_0_467,
[final] ).
cnf(c_0_605,plain,
lhs_atom4,
c_0_468,
[final] ).
cnf(c_0_606,plain,
lhs_atom3,
c_0_469,
[final] ).
% End CNF derivation
cnf(c_0_470_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,X4),X1))))
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,sk1_esk18_4(X1,X2,X3,X4)))) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,sk1_esk17_4(X1,X2,X3,X4))))
| s(X4,sk1_esk19_4(X1,X2,X3,X4)) != s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,X5)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,sk1_esk19_4(X1,X2,X3,X4))))) ),
inference(unfold_definition,[status(thm)],[c_0_470,def_lhs_atom68]) ).
cnf(c_0_471_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,X4),X1))))
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,sk1_esk18_4(X1,X2,X3,X4)))) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,sk1_esk17_4(X1,X2,X3,X4))))
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,sk1_esk20_4(X1,X2,X3,X4)))) = s(X4,sk1_esk19_4(X1,X2,X3,X4))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,sk1_esk19_4(X1,X2,X3,X4))))) ),
inference(unfold_definition,[status(thm)],[c_0_471,def_lhs_atom68]) ).
cnf(c_0_472_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,X4),X1))))
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,sk1_esk16_5(X1,X2,X3,X4,X5)))) = s(X4,X5)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X5)))) ),
inference(unfold_definition,[status(thm)],[c_0_472,def_lhs_atom67]) ).
cnf(c_0_473_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,X4),X1))))
| s(X3,sk1_esk18_4(X1,X2,X3,X4)) != s(X3,sk1_esk17_4(X1,X2,X3,X4))
| s(X4,sk1_esk19_4(X1,X2,X3,X4)) != s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,X5)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,sk1_esk19_4(X1,X2,X3,X4))))) ),
inference(unfold_definition,[status(thm)],[c_0_473,def_lhs_atom68]) ).
cnf(c_0_474_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,X4),X1))))
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,sk1_esk20_4(X1,X2,X3,X4)))) = s(X4,sk1_esk19_4(X1,X2,X3,X4))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,sk1_esk19_4(X1,X2,X3,X4)))))
| s(X3,sk1_esk18_4(X1,X2,X3,X4)) != s(X3,sk1_esk17_4(X1,X2,X3,X4)) ),
inference(unfold_definition,[status(thm)],[c_0_474,def_lhs_atom68]) ).
cnf(c_0_475_0,axiom,
( s(tyop_2Emin_2Efun(X2,X1),X3) = s(tyop_2Emin_2Efun(X2,X1),X4)
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X3),s(X2,sk1_esk4_4(X4,X3,X1,X2)))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X4),s(X2,sk1_esk4_4(X4,X3,X1,X2)))) ),
inference(unfold_definition,[status(thm)],[c_0_475,def_lhs_atom1]) ).
cnf(c_0_476_0,axiom,
( s(tyop_2Emin_2Efun(X2,X1),X3) = s(tyop_2Emin_2Efun(X2,X1),X4)
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X3),s(X2,sk1_esk1_4(X4,X3,X1,X2)))) != s(X1,app_2E2(s(tyop_2Emin_2Efun(X2,X1),X4),s(X2,sk1_esk1_4(X4,X3,X1,X2)))) ),
inference(unfold_definition,[status(thm)],[c_0_476,def_lhs_atom1]) ).
cnf(c_0_479_0,axiom,
( s(X1,X2) = s(X1,X3)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
inference(unfold_definition,[status(thm)],[c_0_479,def_lhs_atom31]) ).
cnf(c_0_480_0,axiom,
( s(X1,X2) = s(X1,X3)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
inference(unfold_definition,[status(thm)],[c_0_480,def_lhs_atom31]) ).
cnf(c_0_481_0,axiom,
( s(X1,X2) != s(X1,X3)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
inference(unfold_definition,[status(thm)],[c_0_481,def_lhs_atom30]) ).
cnf(c_0_482_0,axiom,
( s(X1,X2) != s(X1,X3)
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_2E0),s(X1,X2))),s(X1,X3)))) ),
inference(unfold_definition,[status(thm)],[c_0_482,def_lhs_atom30]) ).
cnf(c_0_483_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(X3,X1),X4))))
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X3,X1),X4),s(X3,sk1_esk14_4(X4,X1,X3,X2)))) = s(X1,X2) ),
inference(unfold_definition,[status(thm)],[c_0_483,def_lhs_atom65]) ).
cnf(c_0_484_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1),s(X3,sk1_esk21_3(X1,X2,X3))))) ),
inference(unfold_definition,[status(thm)],[c_0_484,def_lhs_atom72]) ).
cnf(c_0_485_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))))) ),
inference(unfold_definition,[status(thm)],[c_0_485,def_lhs_atom52]) ).
cnf(c_0_486_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4)))) ),
inference(unfold_definition,[status(thm)],[c_0_486,def_lhs_atom74]) ).
cnf(c_0_487_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))))
| s(X2,X3) = s(X2,X4)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1),s(X2,X4))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1),s(X2,X3)))) ),
inference(unfold_definition,[status(thm)],[c_0_487,def_lhs_atom60]) ).
cnf(c_0_488_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(X3,X2),X1))))
| s(X2,app_2E2(s(tyop_2Emin_2Efun(X3,X2),X1),s(X3,sk1_esk13_3(X1,X2,X3)))) = s(X2,app_2E2(s(tyop_2Emin_2Efun(X3,X2),X1),s(X3,sk1_esk12_3(X1,X2,X3)))) ),
inference(unfold_definition,[status(thm)],[c_0_488,def_lhs_atom64]) ).
cnf(c_0_489_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X3,sk1_esk22_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2)))) ),
inference(unfold_definition,[status(thm)],[c_0_489,def_lhs_atom73]) ).
cnf(c_0_490_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1),s(X3,sk1_esk22_3(X1,X2,X3))))) ),
inference(unfold_definition,[status(thm)],[c_0_490,def_lhs_atom73]) ).
cnf(c_0_491_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X3,sk1_esk21_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2)))) ),
inference(unfold_definition,[status(thm)],[c_0_491,def_lhs_atom72]) ).
cnf(c_0_492_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4)))) ),
inference(unfold_definition,[status(thm)],[c_0_492,def_lhs_atom71]) ).
cnf(c_0_493_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1),s(X2,sk1_esk10_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1)))) ),
inference(unfold_definition,[status(thm)],[c_0_493,def_lhs_atom61]) ).
cnf(c_0_494_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1),s(X2,sk1_esk11_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1)))) ),
inference(unfold_definition,[status(thm)],[c_0_494,def_lhs_atom61]) ).
cnf(c_0_495_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,X4),X1))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(X4,X5))))
| s(X4,X5) != s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,X6))) ),
inference(unfold_definition,[status(thm)],[c_0_495,def_lhs_atom67]) ).
cnf(c_0_496_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,sk1_esk5_2(X2,X1))))) ),
inference(unfold_definition,[status(thm)],[c_0_496,def_lhs_atom19]) ).
cnf(c_0_497_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,sk1_esk2_2(X2,X1))))) ),
inference(unfold_definition,[status(thm)],[c_0_497,def_lhs_atom19]) ).
cnf(c_0_498_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,X4),X1))))
| s(X3,X5) = s(X3,X6)
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,X5))) != s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),X1),s(X3,X6))) ),
inference(unfold_definition,[status(thm)],[c_0_498,def_lhs_atom67]) ).
cnf(c_0_499_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(X1,X4),X5))))
| s(X1,X2) = s(X1,X3)
| s(X4,app_2E2(s(tyop_2Emin_2Efun(X1,X4),X5),s(X1,X2))) != s(X4,app_2E2(s(tyop_2Emin_2Efun(X1,X4),X5),s(X1,X3))) ),
inference(unfold_definition,[status(thm)],[c_0_499,def_lhs_atom63]) ).
cnf(c_0_500_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
inference(unfold_definition,[status(thm)],[c_0_500,def_lhs_atom21]) ).
cnf(c_0_501_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
inference(unfold_definition,[status(thm)],[c_0_501,def_lhs_atom21]) ).
cnf(c_0_502_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,sk1_esk6_2(X2,X1))))) ),
inference(unfold_definition,[status(thm)],[c_0_502,def_lhs_atom20]) ).
cnf(c_0_503_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,sk1_esk3_2(X2,X1))))) ),
inference(unfold_definition,[status(thm)],[c_0_503,def_lhs_atom20]) ).
cnf(c_0_504_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))))
| s(X2,sk1_esk11_2(X1,X2)) != s(X2,sk1_esk10_2(X1,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_504,def_lhs_atom61]) ).
cnf(c_0_505_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(X3,X1),X2))))
| s(X1,app_2E2(s(tyop_2Emin_2Efun(X3,X1),X2),s(X3,X4))) != s(X1,sk1_esk15_3(X2,X1,X3)) ),
inference(unfold_definition,[status(thm)],[c_0_505,def_lhs_atom66]) ).
cnf(c_0_506_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,sk1_esk8_2(X2,X1)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(unfold_definition,[status(thm)],[c_0_506,def_lhs_atom55]) ).
cnf(c_0_507_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
inference(unfold_definition,[status(thm)],[c_0_507,def_lhs_atom18]) ).
cnf(c_0_508_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3)))) ),
inference(unfold_definition,[status(thm)],[c_0_508,def_lhs_atom18]) ).
cnf(c_0_509_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(X3,X2),X1))))
| s(X3,sk1_esk13_3(X1,X2,X3)) != s(X3,sk1_esk12_3(X1,X2,X3)) ),
inference(unfold_definition,[status(thm)],[c_0_509,def_lhs_atom64]) ).
cnf(c_0_510_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1)))) ),
inference(unfold_definition,[status(thm)],[c_0_510,def_lhs_atom60]) ).
cnf(c_0_511_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(X1,X3))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(unfold_definition,[status(thm)],[c_0_511,def_lhs_atom54]) ).
cnf(c_0_521_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_521,def_lhs_atom23]) ).
cnf(c_0_522_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_522,def_lhs_atom9]) ).
cnf(c_0_523_0,axiom,
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_523,def_lhs_atom2]) ).
cnf(c_0_524_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_524,def_lhs_atom23]) ).
cnf(c_0_525_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_525,def_lhs_atom9]) ).
cnf(c_0_526_0,axiom,
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_526,def_lhs_atom2]) ).
cnf(c_0_527_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3))))
| s(X1,X2) != s(X1,X3) ),
inference(unfold_definition,[status(thm)],[c_0_527,def_lhs_atom17]) ).
cnf(c_0_528_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3))))
| s(X1,X2) != s(X1,X3) ),
inference(unfold_definition,[status(thm)],[c_0_528,def_lhs_atom17]) ).
cnf(c_0_529_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_529,def_lhs_atom28]) ).
cnf(c_0_530_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_530,def_lhs_atom14]) ).
cnf(c_0_531_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_531,def_lhs_atom28]) ).
cnf(c_0_532_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_532,def_lhs_atom14]) ).
cnf(c_0_533_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3))))
| s(X1,X2) = s(X1,X3) ),
inference(unfold_definition,[status(thm)],[c_0_533,def_lhs_atom16]) ).
cnf(c_0_534_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_2E2(s(X1,X2),s(X1,X3))))
| s(X1,X2) = s(X1,X3) ),
inference(unfold_definition,[status(thm)],[c_0_534,def_lhs_atom16]) ).
cnf(c_0_535_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_535,def_lhs_atom59]) ).
cnf(c_0_536_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_536,def_lhs_atom24]) ).
cnf(c_0_537_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_537,def_lhs_atom10]) ).
cnf(c_0_538_0,axiom,
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X1)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_538,def_lhs_atom2]) ).
cnf(c_0_539_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_539,def_lhs_atom24]) ).
cnf(c_0_540_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_540,def_lhs_atom10]) ).
cnf(c_0_541_0,axiom,
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X1)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_541,def_lhs_atom2]) ).
cnf(c_0_542_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_542,def_lhs_atom29]) ).
cnf(c_0_543_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_543,def_lhs_atom25]) ).
cnf(c_0_544_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_544,def_lhs_atom25]) ).
cnf(c_0_545_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_545,def_lhs_atom15]) ).
cnf(c_0_546_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_546,def_lhs_atom11]) ).
cnf(c_0_547_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_547,def_lhs_atom11]) ).
cnf(c_0_548_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_548,def_lhs_atom29]) ).
cnf(c_0_549_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_549,def_lhs_atom25]) ).
cnf(c_0_550_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_5C_2F_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_550,def_lhs_atom25]) ).
cnf(c_0_551_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_551,def_lhs_atom15]) ).
cnf(c_0_552_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_552,def_lhs_atom11]) ).
cnf(c_0_553_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_5C_2F_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_553,def_lhs_atom11]) ).
cnf(c_0_562_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_562,def_lhs_atom26]) ).
cnf(c_0_563_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_563,def_lhs_atom12]) ).
cnf(c_0_564_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_564,def_lhs_atom26]) ).
cnf(c_0_565_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1))))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_565,def_lhs_atom12]) ).
cnf(c_0_566_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(unfold_definition,[status(thm)],[c_0_566,def_lhs_atom58]) ).
cnf(c_0_567_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_567,def_lhs_atom29]) ).
cnf(c_0_568_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_568,def_lhs_atom22]) ).
cnf(c_0_569_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_569,def_lhs_atom22]) ).
cnf(c_0_570_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_570,def_lhs_atom15]) ).
cnf(c_0_571_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_571,def_lhs_atom8]) ).
cnf(c_0_572_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_572,def_lhs_atom8]) ).
cnf(c_0_573_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Emin_2E_3D_3D_3E_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_573,def_lhs_atom29]) ).
cnf(c_0_574_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_574,def_lhs_atom22]) ).
cnf(c_0_575_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool)),c_2Ebool_2E_2F_5C_2E0),s(tyop_2Emin_2Ebool,X2))),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_575,def_lhs_atom22]) ).
cnf(c_0_576_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Emin_2E_3D_3D_3E_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_576,def_lhs_atom15]) ).
cnf(c_0_577_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(unfold_definition,[status(thm)],[c_0_577,def_lhs_atom8]) ).
cnf(c_0_578_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_2F_5C_2E2(s(tyop_2Emin_2Ebool,X2),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_578,def_lhs_atom8]) ).
cnf(c_0_579_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,sk1_esk9_0)) ),
inference(unfold_definition,[status(thm)],[c_0_579,def_lhs_atom57]) ).
cnf(c_0_580_0,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(unfold_definition,[status(thm)],[c_0_580,def_lhs_atom3]) ).
cnf(c_0_581_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_581,def_lhs_atom58]) ).
cnf(c_0_582_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_582,def_lhs_atom27]) ).
cnf(c_0_583_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_583,def_lhs_atom13]) ).
cnf(c_0_584_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2E_7E_2E0),s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_584,def_lhs_atom27]) ).
cnf(c_0_585_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2E_7E_2E1(s(tyop_2Emin_2Ebool,X1))))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_585,def_lhs_atom13]) ).
cnf(c_0_586_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_586,def_lhs_atom4]) ).
cnf(c_0_587_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X1) ),
inference(unfold_definition,[status(thm)],[c_0_587,def_lhs_atom53]) ).
cnf(c_0_477_0,axiom,
s(X4,app_2E2(s(tyop_2Emin_2Efun(X6,X4),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(X6,X4)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X5,X4)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(X6,X4))),combin_s_2E0),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X5,X4)),X3))),s(tyop_2Emin_2Efun(X6,X5),X2))),s(X6,X1))) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X5,X4),app_2E2(s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X5,X4)),X3),s(X6,X1))),s(X5,app_2E2(s(tyop_2Emin_2Efun(X6,X5),X2),s(X6,X1))))),
inference(unfold_definition,[status(thm)],[c_0_477,def_lhs_atom7]) ).
cnf(c_0_478_0,axiom,
s(X4,app_2E2(s(tyop_2Emin_2Efun(X6,X4),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(X6,X4)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X5,X4)),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,X5),tyop_2Emin_2Efun(X6,X4))),combin_s_2E0),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X5,X4)),X3))),s(tyop_2Emin_2Efun(X6,X5),X2))),s(X6,X1))) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X5,X4),app_2E2(s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Efun(X5,X4)),X3),s(X6,X1))),s(X5,app_2E2(s(tyop_2Emin_2Efun(X6,X5),X2),s(X6,X1))))),
inference(unfold_definition,[status(thm)],[c_0_478,def_lhs_atom7]) ).
cnf(c_0_512_0,axiom,
s(X3,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(X4,X3),X2),s(X4,X1))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X2),s(X4,X1))),
inference(unfold_definition,[status(thm)],[c_0_512,def_lhs_atom69]) ).
cnf(c_0_513_0,axiom,
s(X3,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(X4,X3),X2),s(X4,X1))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X2),s(X4,X1))),
inference(unfold_definition,[status(thm)],[c_0_513,def_lhs_atom62]) ).
cnf(c_0_514_0,axiom,
s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X2),s(X4,X1))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),X2),s(X4,X1))),
inference(unfold_definition,[status(thm)],[c_0_514,def_lhs_atom51]) ).
cnf(c_0_515_0,axiom,
s(X4,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X3),s(X4,X2),s(X4,X1))) = s(X4,app_2E2(s(tyop_2Emin_2Efun(X4,X4),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X4,X4)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X4,X4))),c_2Ebool_2ECOND_2E0),s(tyop_2Emin_2Ebool,X3))),s(X4,X2))),s(X4,X1))),
inference(unfold_definition,[status(thm)],[c_0_515,def_lhs_atom50]) ).
cnf(c_0_516_0,axiom,
s(X3,c_2Ebool_2Eliteral__case_2E2(s(tyop_2Emin_2Efun(X4,X3),X2),s(X4,X1))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X4,X3),tyop_2Emin_2Efun(X4,X3)),c_2Ebool_2Eliteral__case_2E0),s(tyop_2Emin_2Efun(X4,X3),X2))),s(X4,X1))),
inference(unfold_definition,[status(thm)],[c_0_516,def_lhs_atom49]) ).
cnf(c_0_517_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2ETYPE__DEFINITION_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,X4),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X4),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X4),tyop_2Emin_2Ebool)),c_2Ebool_2ETYPE__DEFINITION_2E0),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X3,X4),X1))),
inference(unfold_definition,[status(thm)],[c_0_517,def_lhs_atom48]) ).
cnf(c_0_518_0,axiom,
s(X3,c_2Ebool_2ELET_2E2(s(tyop_2Emin_2Efun(X4,X3),X2),s(X4,X1))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(X4,X3),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X4,X3),tyop_2Emin_2Efun(X4,X3)),c_2Ebool_2ELET_2E0),s(tyop_2Emin_2Efun(X4,X3),X2))),s(X4,X1))),
inference(unfold_definition,[status(thm)],[c_0_518,def_lhs_atom43]) ).
cnf(c_0_519_0,axiom,
s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X3,X4)),combin_k_2E0),s(X4,X2))),s(X3,X1))) = s(X4,X2),
inference(unfold_definition,[status(thm)],[c_0_519,def_lhs_atom6]) ).
cnf(c_0_520_0,axiom,
s(X4,app_2E2(s(tyop_2Emin_2Efun(X3,X4),app_2E2(s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Efun(X3,X4)),combin_k_2E0),s(X4,X2))),s(X3,X1))) = s(X4,X2),
inference(unfold_definition,[status(thm)],[c_0_520,def_lhs_atom6]) ).
cnf(c_0_554_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X3,X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1),s(X3,X2))),
inference(unfold_definition,[status(thm)],[c_0_554,def_lhs_atom70]) ).
cnf(c_0_555_0,axiom,
s(X3,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))) = s(X3,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X3),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X3)),c_2Ebool_2ERES__SELECT_2E0),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))),
inference(unfold_definition,[status(thm)],[c_0_555,def_lhs_atom47]) ).
cnf(c_0_556_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__FORALL_2E0),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))),
inference(unfold_definition,[status(thm)],[c_0_556,def_lhs_atom46]) ).
cnf(c_0_557_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS__UNIQUE_2E0),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))),
inference(unfold_definition,[status(thm)],[c_0_557,def_lhs_atom45]) ).
cnf(c_0_558_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2ERES__EXISTS_2E0),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))),
inference(unfold_definition,[status(thm)],[c_0_558,def_lhs_atom44]) ).
cnf(c_0_559_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X3,X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ebool_2EIN_2E0),s(X3,X2))),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))),
inference(unfold_definition,[status(thm)],[c_0_559,def_lhs_atom42]) ).
cnf(c_0_560_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(X3,X2),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X2),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(X3,X2),X1))),
inference(unfold_definition,[status(thm)],[c_0_560,def_lhs_atom40]) ).
cnf(c_0_561_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(X3,X2),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,X2),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(X3,X2),X1))),
inference(unfold_definition,[status(thm)],[c_0_561,def_lhs_atom38]) ).
cnf(c_0_588_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(X2,X1))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(unfold_definition,[status(thm)],[c_0_588,def_lhs_atom76]) ).
cnf(c_0_589_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1),s(X2,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))))),
inference(unfold_definition,[status(thm)],[c_0_589,def_lhs_atom56]) ).
cnf(c_0_590_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2EDATATYPE_2E1(s(X2,X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),c_2Ebool_2EDATATYPE_2E0),s(X2,X1))),
inference(unfold_definition,[status(thm)],[c_0_590,def_lhs_atom37]) ).
cnf(c_0_591_0,axiom,
s(X2,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))) = s(X2,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X2),c_2Emin_2E_40_2E0),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))),
inference(unfold_definition,[status(thm)],[c_0_591,def_lhs_atom35]) ).
cnf(c_0_592_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_21_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_21_2E0),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))),
inference(unfold_definition,[status(thm)],[c_0_592,def_lhs_atom34]) ).
cnf(c_0_593_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))),
inference(unfold_definition,[status(thm)],[c_0_593,def_lhs_atom33]) ).
cnf(c_0_594_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))),
inference(unfold_definition,[status(thm)],[c_0_594,def_lhs_atom32]) ).
cnf(c_0_595_0,axiom,
s(X2,app_2E2(s(tyop_2Emin_2Efun(X2,X2),combin_i_2E0),s(X2,X1))) = s(X2,X1),
inference(unfold_definition,[status(thm)],[c_0_595,def_lhs_atom5]) ).
cnf(c_0_596_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2E_3F_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_3F_2E0),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))),
inference(unfold_definition,[status(thm)],[c_0_596,def_lhs_atom33]) ).
cnf(c_0_597_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2E_21_2E1(s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool),c_2Ebool_2E_21_2E0),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X1))),
inference(unfold_definition,[status(thm)],[c_0_597,def_lhs_atom32]) ).
cnf(c_0_598_0,axiom,
s(X2,app_2E2(s(tyop_2Emin_2Efun(X2,X2),combin_i_2E0),s(X2,X1))) = s(X2,X1),
inference(unfold_definition,[status(thm)],[c_0_598,def_lhs_atom5]) ).
cnf(c_0_599_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0),
inference(unfold_definition,[status(thm)],[c_0_599,def_lhs_atom75]) ).
cnf(c_0_600_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONTO_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X1))),
inference(unfold_definition,[status(thm)],[c_0_600,def_lhs_atom41]) ).
cnf(c_0_601_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),tyop_2Emin_2Ebool),c_2Ebool_2EONE__ONE_2E0),s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X1))),
inference(unfold_definition,[status(thm)],[c_0_601,def_lhs_atom39]) ).
cnf(c_0_602_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ebool_2EBOUNDED_2E1(s(tyop_2Emin_2Ebool,X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Ebool),c_2Ebool_2EBOUNDED_2E0),s(tyop_2Emin_2Ebool,X1))),
inference(unfold_definition,[status(thm)],[c_0_602,def_lhs_atom36]) ).
cnf(c_0_603_0,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(unfold_definition,[status(thm)],[c_0_603,def_lhs_atom4]) ).
cnf(c_0_604_0,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(unfold_definition,[status(thm)],[c_0_604,def_lhs_atom3]) ).
cnf(c_0_605_0,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(unfold_definition,[status(thm)],[c_0_605,def_lhs_atom4]) ).
cnf(c_0_606_0,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(unfold_definition,[status(thm)],[c_0_606,def_lhs_atom3]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_022,axiom,
! [X1,X2] :
( ! [X3,X4,X10,X8] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X2),s(tyop_2Emin_2Ebool,X3))),s(X1,X4))),s(X1,X10))),s(X1,X8))))
<=> ( ( s(tyop_2Emin_2Ebool,X3) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
=> s(X1,X8) = s(X1,X4) )
& ( s(tyop_2Emin_2Ebool,X3) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
=> s(X1,X8) = s(X1,X10) ) ) )
=> ! [X3,X4,X10] : s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X3),s(X1,X4),s(X1,X10))) = s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X2),s(tyop_2Emin_2Ebool,X3))),s(X1,X4))),s(X1,X10))))) ),
file('<stdin>',thm_2Ebool_2ECOND__DEF) ).
fof(c_0_1_023,axiom,
! [X1,X6,X7,X2] :
( ! [X4,X8,X9] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X6),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))),s(X1,X8))),s(X1,X9))))
<=> ( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4),s(X1,X8))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4),s(X1,X9)))) )
=> s(X1,X8) = s(X1,X9) ) )
=> ( ! [X3,X4,X8] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X7),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))),s(X1,X8))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X6),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))),s(X1,X8)))))
=> ( ! [X4,X5] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))),s(X1,X5))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4),s(X1,X5)))
=> ! [X3,X4] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X7),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4)))))) ) ) ) ) ),
file('<stdin>',thm_2Ebool_2ERES__EXISTS__UNIQUE__DEF) ).
fof(c_0_2_024,axiom,
! [X1,X2] :
( ! [X3,X4,X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))),s(X1,X5))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4),s(X1,X5)))) ) )
=> ! [X3,X4] : s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))) = s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))))) ),
file('<stdin>',thm_2Ebool_2ERES__SELECT__DEF) ).
fof(c_0_3_025,axiom,
? [X12] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X12))))
& ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X12)))) ),
file('<stdin>',thm_2Ebool_2EINFINITY__AX) ).
fof(c_0_4_026,axiom,
! [X3,X4] :
( ( p(s(tyop_2Emin_2Ebool,X3))
& p(s(tyop_2Emin_2Ebool,X4)) )
<=> ! [X11] :
( ( p(s(tyop_2Emin_2Ebool,X3))
=> ( p(s(tyop_2Emin_2Ebool,X4))
=> p(s(tyop_2Emin_2Ebool,X11)) ) )
=> p(s(tyop_2Emin_2Ebool,X11)) ) ),
file('<stdin>',thm_2Ebool_2EAND__DEF) ).
fof(c_0_5_027,axiom,
! [X3,X4] :
( ( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X4)) )
<=> ! [X11] :
( ( p(s(tyop_2Emin_2Ebool,X3))
=> p(s(tyop_2Emin_2Ebool,X11)) )
=> ( ( p(s(tyop_2Emin_2Ebool,X4))
=> p(s(tyop_2Emin_2Ebool,X11)) )
=> p(s(tyop_2Emin_2Ebool,X11)) ) ) ),
file('<stdin>',thm_2Ebool_2EOR__DEF) ).
fof(c_0_6_028,axiom,
! [X13] :
( s(tyop_2Emin_2Ebool,X13) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X13) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
file('<stdin>',reserved_2Eho_2Ebool__cases__ax) ).
fof(c_0_7_029,axiom,
! [X13] :
( s(tyop_2Emin_2Ebool,X13) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X13) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
file('<stdin>',reserved_2Eho_2Ebool__cases__ax) ).
fof(c_0_8_030,axiom,
! [X13] :
( s(tyop_2Emin_2Ebool,X13) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X13) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
file('<stdin>',thm_2Ebool_2EBOOL__CASES__AX) ).
fof(c_0_9_031,axiom,
! [X1,X2] :
( ! [X3,X4,X10,X8] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X2),s(tyop_2Emin_2Ebool,X3))),s(X1,X4))),s(X1,X10))),s(X1,X8))))
<=> ( ( s(tyop_2Emin_2Ebool,X3) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
=> s(X1,X8) = s(X1,X4) )
& ( s(tyop_2Emin_2Ebool,X3) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
=> s(X1,X8) = s(X1,X10) ) ) )
=> ! [X3,X4,X10] : s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X3),s(X1,X4),s(X1,X10))) = s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X2),s(tyop_2Emin_2Ebool,X3))),s(X1,X4))),s(X1,X10))))) ),
c_0_0 ).
fof(c_0_10_032,axiom,
! [X1,X6,X7,X2] :
( ! [X4,X8,X9] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X6),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))),s(X1,X8))),s(X1,X9))))
<=> ( ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4),s(X1,X8))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4),s(X1,X9)))) )
=> s(X1,X8) = s(X1,X9) ) )
=> ( ! [X3,X4,X8] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X7),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))),s(X1,X8))) = s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X6),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))),s(X1,X8)))))
=> ( ! [X4,X5] : s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))),s(X1,X5))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4),s(X1,X5)))
=> ! [X3,X4] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))))))
& p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X7),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4)))))) ) ) ) ) ),
c_0_1 ).
fof(c_0_11_033,axiom,
! [X1,X2] :
( ! [X3,X4,X5] :
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))),s(X1,X5))))
<=> ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))
& p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4),s(X1,X5)))) ) )
=> ! [X3,X4] : s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))) = s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X4))))) ),
c_0_2 ).
fof(c_0_12_034,plain,
? [X12] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X12))))
& ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),X12)))) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_13_035,axiom,
! [X3,X4] :
( ( p(s(tyop_2Emin_2Ebool,X3))
& p(s(tyop_2Emin_2Ebool,X4)) )
<=> ! [X11] :
( ( p(s(tyop_2Emin_2Ebool,X3))
=> ( p(s(tyop_2Emin_2Ebool,X4))
=> p(s(tyop_2Emin_2Ebool,X11)) ) )
=> p(s(tyop_2Emin_2Ebool,X11)) ) ),
c_0_4 ).
fof(c_0_14_036,axiom,
! [X3,X4] :
( ( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X4)) )
<=> ! [X11] :
( ( p(s(tyop_2Emin_2Ebool,X3))
=> p(s(tyop_2Emin_2Ebool,X11)) )
=> ( ( p(s(tyop_2Emin_2Ebool,X4))
=> p(s(tyop_2Emin_2Ebool,X11)) )
=> p(s(tyop_2Emin_2Ebool,X11)) ) ) ),
c_0_5 ).
fof(c_0_15_037,axiom,
! [X13] :
( s(tyop_2Emin_2Ebool,X13) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X13) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
c_0_6 ).
fof(c_0_16_038,axiom,
! [X13] :
( s(tyop_2Emin_2Ebool,X13) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X13) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
c_0_7 ).
fof(c_0_17_039,axiom,
! [X13] :
( s(tyop_2Emin_2Ebool,X13) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X13) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
c_0_8 ).
fof(c_0_18_040,plain,
! [X11,X12,X17,X18,X19] :
( ( s(tyop_2Emin_2Ebool,esk12_2(X11,X12)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,esk12_2(X11,X12)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)))),X12),s(tyop_2Emin_2Ebool,esk12_2(X11,X12)))),s(X11,esk13_2(X11,X12)))),s(X11,esk14_2(X11,X12)))),s(X11,esk15_2(X11,X12)))))
| s(X11,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X17),s(X11,X18),s(X11,X19))) = s(X11,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)))),X12),s(tyop_2Emin_2Ebool,X17))),s(X11,X18))),s(X11,X19))))) )
& ( s(X11,esk15_2(X11,X12)) != s(X11,esk14_2(X11,X12))
| s(tyop_2Emin_2Ebool,esk12_2(X11,X12)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)))),X12),s(tyop_2Emin_2Ebool,esk12_2(X11,X12)))),s(X11,esk13_2(X11,X12)))),s(X11,esk14_2(X11,X12)))),s(X11,esk15_2(X11,X12)))))
| s(X11,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X17),s(X11,X18),s(X11,X19))) = s(X11,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)))),X12),s(tyop_2Emin_2Ebool,X17))),s(X11,X18))),s(X11,X19))))) )
& ( s(tyop_2Emin_2Ebool,esk12_2(X11,X12)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(X11,esk15_2(X11,X12)) != s(X11,esk13_2(X11,X12))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)))),X12),s(tyop_2Emin_2Ebool,esk12_2(X11,X12)))),s(X11,esk13_2(X11,X12)))),s(X11,esk14_2(X11,X12)))),s(X11,esk15_2(X11,X12)))))
| s(X11,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X17),s(X11,X18),s(X11,X19))) = s(X11,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)))),X12),s(tyop_2Emin_2Ebool,X17))),s(X11,X18))),s(X11,X19))))) )
& ( s(X11,esk15_2(X11,X12)) != s(X11,esk14_2(X11,X12))
| s(X11,esk15_2(X11,X12)) != s(X11,esk13_2(X11,X12))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)))),X12),s(tyop_2Emin_2Ebool,esk12_2(X11,X12)))),s(X11,esk13_2(X11,X12)))),s(X11,esk14_2(X11,X12)))),s(X11,esk15_2(X11,X12)))))
| s(X11,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X17),s(X11,X18),s(X11,X19))) = s(X11,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)))),X12),s(tyop_2Emin_2Ebool,X17))),s(X11,X18))),s(X11,X19))))) )
& ( s(tyop_2Emin_2Ebool,esk12_2(X11,X12)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(X11,esk15_2(X11,X12)) = s(X11,esk13_2(X11,X12))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)))),X12),s(tyop_2Emin_2Ebool,esk12_2(X11,X12)))),s(X11,esk13_2(X11,X12)))),s(X11,esk14_2(X11,X12)))),s(X11,esk15_2(X11,X12)))))
| s(X11,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X17),s(X11,X18),s(X11,X19))) = s(X11,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)))),X12),s(tyop_2Emin_2Ebool,X17))),s(X11,X18))),s(X11,X19))))) )
& ( s(tyop_2Emin_2Ebool,esk12_2(X11,X12)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(X11,esk15_2(X11,X12)) = s(X11,esk14_2(X11,X12))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)))),X12),s(tyop_2Emin_2Ebool,esk12_2(X11,X12)))),s(X11,esk13_2(X11,X12)))),s(X11,esk14_2(X11,X12)))),s(X11,esk15_2(X11,X12)))))
| s(X11,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X17),s(X11,X18),s(X11,X19))) = s(X11,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Efun(X11,tyop_2Emin_2Ebool)))),X12),s(tyop_2Emin_2Ebool,X17))),s(X11,X18))),s(X11,X19))))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
fof(c_0_19_041,plain,
! [X10,X11,X15,X19,X22,X23,X24,X25] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)))),s(X10,esk11_4(X10,X11,X15,X19)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)),s(X10,esk11_4(X10,X11,X15,X19))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)),s(X10,esk5_2(X10,X11)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)))),s(X10,esk5_2(X10,X11)))),s(X10,esk6_2(X10,X11))))) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)))),s(X10,esk11_4(X10,X11,X15,X19)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)),s(X10,esk11_4(X10,X11,X15,X19))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)),s(X10,esk5_2(X10,X11)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)))),s(X10,esk5_2(X10,X11)))),s(X10,esk6_2(X10,X11))))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X25))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X25))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X25))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)))),s(X10,esk11_4(X10,X11,X15,X19)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)),s(X10,esk11_4(X10,X11,X15,X19))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)),s(X10,esk5_2(X10,X11)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)))),s(X10,esk5_2(X10,X11)))),s(X10,esk6_2(X10,X11))))) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)))),s(X10,esk11_4(X10,X11,X15,X19)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)),s(X10,esk11_4(X10,X11,X15,X19))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)),s(X10,esk6_2(X10,X11)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)))),s(X10,esk5_2(X10,X11)))),s(X10,esk6_2(X10,X11))))) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)))),s(X10,esk11_4(X10,X11,X15,X19)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)),s(X10,esk11_4(X10,X11,X15,X19))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)),s(X10,esk6_2(X10,X11)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)))),s(X10,esk5_2(X10,X11)))),s(X10,esk6_2(X10,X11))))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X25))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X25))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X25))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)))),s(X10,esk11_4(X10,X11,X15,X19)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)),s(X10,esk11_4(X10,X11,X15,X19))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)),s(X10,esk6_2(X10,X11)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)))),s(X10,esk5_2(X10,X11)))),s(X10,esk6_2(X10,X11))))) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)))),s(X10,esk11_4(X10,X11,X15,X19)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)),s(X10,esk11_4(X10,X11,X15,X19))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15))))))
| s(X10,esk5_2(X10,X11)) != s(X10,esk6_2(X10,X11))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)))),s(X10,esk5_2(X10,X11)))),s(X10,esk6_2(X10,X11))))) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)))),s(X10,esk11_4(X10,X11,X15,X19)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)),s(X10,esk11_4(X10,X11,X15,X19))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15))))))
| s(X10,esk5_2(X10,X11)) != s(X10,esk6_2(X10,X11))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)))),s(X10,esk5_2(X10,X11)))),s(X10,esk6_2(X10,X11))))) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X25))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X25))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X25))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)))),s(X10,esk11_4(X10,X11,X15,X19)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)),s(X10,esk11_4(X10,X11,X15,X19))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15))))))
| s(X10,esk5_2(X10,X11)) != s(X10,esk6_2(X10,X11))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)))),s(X10,esk5_2(X10,X11)))),s(X10,esk6_2(X10,X11))))) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)))),s(X10,esk11_4(X10,X11,X15,X19)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)),s(X10,esk11_4(X10,X11,X15,X19))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)))),s(X10,esk5_2(X10,X11)))),s(X10,esk6_2(X10,X11)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)),s(X10,esk5_2(X10,X11)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)),s(X10,esk6_2(X10,X11)))))
| s(X10,esk5_2(X10,X11)) = s(X10,esk6_2(X10,X11)) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X22),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X23))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)))),s(X10,esk11_4(X10,X11,X15,X19)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)),s(X10,esk11_4(X10,X11,X15,X19))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)))),s(X10,esk5_2(X10,X11)))),s(X10,esk6_2(X10,X11)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)),s(X10,esk5_2(X10,X11)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)),s(X10,esk6_2(X10,X11)))))
| s(X10,esk5_2(X10,X11)) = s(X10,esk6_2(X10,X11)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X25))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X25))))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X24),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X25))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),X19),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)))),s(X10,esk11_4(X10,X11,X15,X19)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk10_4(X10,X11,X15,X19)),s(X10,esk11_4(X10,X11,X15,X19))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X15),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)))),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk7_3(X10,X11,X15)),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk8_3(X10,X11,X15)))),s(X10,esk9_3(X10,X11,X15))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X10,tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool))),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)))),s(X10,esk5_2(X10,X11)))),s(X10,esk6_2(X10,X11)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)),s(X10,esk5_2(X10,X11)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),esk4_2(X10,X11)),s(X10,esk6_2(X10,X11)))))
| s(X10,esk5_2(X10,X11)) = s(X10,esk6_2(X10,X11)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])])]) ).
fof(c_0_20_042,plain,
! [X6,X7,X11,X12] :
( ( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool))),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),esk1_2(X6,X7)))),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),esk2_2(X6,X7)))),s(X6,esk3_2(X6,X7)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X6,esk3_2(X6,X7)),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),esk1_2(X6,X7)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),esk2_2(X6,X7)),s(X6,esk3_2(X6,X7)))))
| s(X6,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),X11),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),X12))) = s(X6,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool))),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),X11))),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),X12))))) )
& ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X6,esk3_2(X6,X7)),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),esk1_2(X6,X7)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool))),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),esk1_2(X6,X7)))),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),esk2_2(X6,X7)))),s(X6,esk3_2(X6,X7)))))
| s(X6,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),X11),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),X12))) = s(X6,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool))),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),X11))),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),X12))))) )
& ( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),esk2_2(X6,X7)),s(X6,esk3_2(X6,X7)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool))),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),esk1_2(X6,X7)))),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),esk2_2(X6,X7)))),s(X6,esk3_2(X6,X7)))))
| s(X6,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),X11),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),X12))) = s(X6,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool))),X7),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),X11))),s(tyop_2Emin_2Efun(X6,tyop_2Emin_2Ebool),X12))))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).
fof(c_0_21_043,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),esk18_0))))
& ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),esk18_0)))) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[c_0_12])]) ).
fof(c_0_22_044,plain,
! [X12,X13,X14,X15,X16] :
( ( p(s(tyop_2Emin_2Ebool,X12))
| p(s(tyop_2Emin_2Ebool,X14))
| ~ p(s(tyop_2Emin_2Ebool,X12))
| ~ p(s(tyop_2Emin_2Ebool,X13)) )
& ( p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X14))
| ~ p(s(tyop_2Emin_2Ebool,X12))
| ~ p(s(tyop_2Emin_2Ebool,X13)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X14))
| p(s(tyop_2Emin_2Ebool,X14))
| ~ p(s(tyop_2Emin_2Ebool,X12))
| ~ p(s(tyop_2Emin_2Ebool,X13)) )
& ( p(s(tyop_2Emin_2Ebool,X15))
| ~ p(s(tyop_2Emin_2Ebool,X15))
| ~ p(s(tyop_2Emin_2Ebool,X16))
| p(s(tyop_2Emin_2Ebool,esk17_2(X15,X16))) )
& ( p(s(tyop_2Emin_2Ebool,X16))
| ~ p(s(tyop_2Emin_2Ebool,X15))
| ~ p(s(tyop_2Emin_2Ebool,X16))
| p(s(tyop_2Emin_2Ebool,esk17_2(X15,X16))) )
& ( p(s(tyop_2Emin_2Ebool,X15))
| ~ p(s(tyop_2Emin_2Ebool,esk17_2(X15,X16))) )
& ( p(s(tyop_2Emin_2Ebool,X16))
| ~ p(s(tyop_2Emin_2Ebool,esk17_2(X15,X16))) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])])]) ).
fof(c_0_23_045,plain,
! [X12,X13,X14,X15,X16] :
( ( p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X14))
| p(s(tyop_2Emin_2Ebool,X12))
| ~ p(s(tyop_2Emin_2Ebool,X12)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X14))
| p(s(tyop_2Emin_2Ebool,X14))
| p(s(tyop_2Emin_2Ebool,X12))
| ~ p(s(tyop_2Emin_2Ebool,X12)) )
& ( p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X14))
| ~ p(s(tyop_2Emin_2Ebool,X14))
| ~ p(s(tyop_2Emin_2Ebool,X12)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X14))
| p(s(tyop_2Emin_2Ebool,X14))
| ~ p(s(tyop_2Emin_2Ebool,X14))
| ~ p(s(tyop_2Emin_2Ebool,X12)) )
& ( p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X14))
| p(s(tyop_2Emin_2Ebool,X12))
| ~ p(s(tyop_2Emin_2Ebool,X13)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X14))
| p(s(tyop_2Emin_2Ebool,X14))
| p(s(tyop_2Emin_2Ebool,X12))
| ~ p(s(tyop_2Emin_2Ebool,X13)) )
& ( p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X14))
| ~ p(s(tyop_2Emin_2Ebool,X14))
| ~ p(s(tyop_2Emin_2Ebool,X13)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X14))
| p(s(tyop_2Emin_2Ebool,X14))
| ~ p(s(tyop_2Emin_2Ebool,X14))
| ~ p(s(tyop_2Emin_2Ebool,X13)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X15))
| p(s(tyop_2Emin_2Ebool,esk16_2(X15,X16)))
| p(s(tyop_2Emin_2Ebool,X15))
| p(s(tyop_2Emin_2Ebool,X16)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X16))
| p(s(tyop_2Emin_2Ebool,esk16_2(X15,X16)))
| p(s(tyop_2Emin_2Ebool,X15))
| p(s(tyop_2Emin_2Ebool,X16)) )
& ( ~ p(s(tyop_2Emin_2Ebool,esk16_2(X15,X16)))
| p(s(tyop_2Emin_2Ebool,X15))
| p(s(tyop_2Emin_2Ebool,X16)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])])])])]) ).
fof(c_0_24_046,plain,
! [X14] :
( s(tyop_2Emin_2Ebool,X14) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X14) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(variable_rename,[status(thm)],[c_0_15]) ).
fof(c_0_25_047,plain,
! [X14] :
( s(tyop_2Emin_2Ebool,X14) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X14) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(variable_rename,[status(thm)],[c_0_16]) ).
fof(c_0_26_048,plain,
! [X14] :
( s(tyop_2Emin_2Ebool,X14) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X14) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(variable_rename,[status(thm)],[c_0_17]) ).
cnf(c_0_27_049,plain,
( s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4))) = s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,esk12_2(X1,X5)))),s(X1,esk13_2(X1,X5)))),s(X1,esk14_2(X1,X5)))),s(X1,esk15_2(X1,X5)))))
| s(X1,esk15_2(X1,X5)) != s(X1,esk13_2(X1,X5))
| s(X1,esk15_2(X1,X5)) != s(X1,esk14_2(X1,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_28_050,plain,
( s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4))) = s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4)))))
| s(tyop_2Emin_2Ebool,esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,esk12_2(X1,X5)))),s(X1,esk13_2(X1,X5)))),s(X1,esk14_2(X1,X5)))),s(X1,esk15_2(X1,X5)))))
| s(X1,esk15_2(X1,X5)) != s(X1,esk14_2(X1,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29_051,plain,
( s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4))) = s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4)))))
| s(tyop_2Emin_2Ebool,esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,esk12_2(X1,X5)))),s(X1,esk13_2(X1,X5)))),s(X1,esk14_2(X1,X5)))),s(X1,esk15_2(X1,X5)))))
| s(X1,esk15_2(X1,X5)) != s(X1,esk13_2(X1,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30_052,plain,
( s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4))) = s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4)))))
| s(tyop_2Emin_2Ebool,esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,esk12_2(X1,X5)))),s(X1,esk13_2(X1,X5)))),s(X1,esk14_2(X1,X5)))),s(X1,esk15_2(X1,X5))))) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31_053,plain,
( s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4))) = s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,esk12_2(X1,X5)))),s(X1,esk13_2(X1,X5)))),s(X1,esk14_2(X1,X5)))),s(X1,esk15_2(X1,X5)))))
| s(X1,esk15_2(X1,X5)) = s(X1,esk13_2(X1,X5))
| s(tyop_2Emin_2Ebool,esk12_2(X1,X5)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_32_054,plain,
( s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4))) = s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,esk12_2(X1,X5)))),s(X1,esk13_2(X1,X5)))),s(X1,esk14_2(X1,X5)))),s(X1,esk15_2(X1,X5)))))
| s(X1,esk15_2(X1,X5)) = s(X1,esk14_2(X1,X5))
| s(tyop_2Emin_2Ebool,esk12_2(X1,X5)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_33_055,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk5_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_34_056,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_35_057,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(X1,esk5_2(X1,X2)) != s(X1,esk6_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_36_058,plain,
( s(X1,esk5_2(X1,X2)) = s(X1,esk6_2(X1,X2))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_37_059,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk5_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_38_060,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_39_061,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(X1,esk5_2(X1,X2)) != s(X1,esk6_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_40_062,plain,
( s(X1,esk5_2(X1,X2)) = s(X1,esk6_2(X1,X2))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_41_063,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk5_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_42_064,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_43_065,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(X1,esk5_2(X1,X2)) != s(X1,esk6_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_44_066,plain,
( s(X1,esk5_2(X1,X2)) = s(X1,esk6_2(X1,X2))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_45_067,plain,
( s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))) = s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk2_2(X1,X4)),s(X1,esk3_2(X1,X4)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,esk3_2(X1,X4)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk1_2(X1,X4)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk2_2(X1,X4)))),s(X1,esk3_2(X1,X4))))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_46_068,plain,
( s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))) = s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk2_2(X1,X4)))),s(X1,esk3_2(X1,X4)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,esk3_2(X1,X4)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk1_2(X1,X4))))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_47_069,plain,
( s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))) = s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk2_2(X1,X4)))),s(X1,esk3_2(X1,X4)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk2_2(X1,X4)),s(X1,esk3_2(X1,X4))))) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_48_070,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),esk18_0)))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_49_071,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),esk18_0)))),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_50_072,plain,
( p(s(tyop_2Emin_2Ebool,esk17_2(X1,X2)))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_51_073,plain,
( p(s(tyop_2Emin_2Ebool,esk17_2(X1,X2)))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_52_074,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,esk16_2(X2,X1))) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_53_075,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,esk16_2(X2,X1)))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_54_076,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,esk16_2(X2,X1)))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_55_077,plain,
( p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_56_078,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_57_079,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_58_080,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,esk17_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_59_081,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,esk17_2(X1,X2))) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_60_082,plain,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_61_083,plain,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_62_084,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_63_085,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_64_086,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_65_087,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_66_088,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_67_089,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_23]) ).
cnf(c_0_68_090,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(split_conjunct,[status(thm)],[c_0_24]) ).
cnf(c_0_69_091,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(split_conjunct,[status(thm)],[c_0_25]) ).
cnf(c_0_70_092,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(split_conjunct,[status(thm)],[c_0_26]) ).
cnf(c_0_71_093,plain,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,esk12_2(X1,X5)))),s(X1,esk13_2(X1,X5)))),s(X1,esk14_2(X1,X5)))),s(X1,esk15_2(X1,X5)))))
| s(X1,esk15_2(X1,X5)) != s(X1,esk13_2(X1,X5))
| s(X1,esk15_2(X1,X5)) != s(X1,esk14_2(X1,X5)) ),
c_0_27,
[final] ).
cnf(c_0_72_094,plain,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| s(tyop_2Emin_2Ebool,esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,esk12_2(X1,X5)))),s(X1,esk13_2(X1,X5)))),s(X1,esk14_2(X1,X5)))),s(X1,esk15_2(X1,X5)))))
| s(X1,esk15_2(X1,X5)) != s(X1,esk14_2(X1,X5)) ),
c_0_28,
[final] ).
cnf(c_0_73_095,plain,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| s(tyop_2Emin_2Ebool,esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,esk12_2(X1,X5)))),s(X1,esk13_2(X1,X5)))),s(X1,esk14_2(X1,X5)))),s(X1,esk15_2(X1,X5)))))
| s(X1,esk15_2(X1,X5)) != s(X1,esk13_2(X1,X5)) ),
c_0_29,
[final] ).
cnf(c_0_74_096,plain,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| s(tyop_2Emin_2Ebool,esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,esk12_2(X1,X5)))),s(X1,esk13_2(X1,X5)))),s(X1,esk14_2(X1,X5)))),s(X1,esk15_2(X1,X5))))) ),
c_0_30,
[final] ).
cnf(c_0_75_097,plain,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,esk12_2(X1,X5)))),s(X1,esk13_2(X1,X5)))),s(X1,esk14_2(X1,X5)))),s(X1,esk15_2(X1,X5)))))
| s(X1,esk15_2(X1,X5)) = s(X1,esk13_2(X1,X5))
| s(tyop_2Emin_2Ebool,esk12_2(X1,X5)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
c_0_31,
[final] ).
cnf(c_0_76_098,plain,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,esk12_2(X1,X5)))),s(X1,esk13_2(X1,X5)))),s(X1,esk14_2(X1,X5)))),s(X1,esk15_2(X1,X5)))))
| s(X1,esk15_2(X1,X5)) = s(X1,esk14_2(X1,X5))
| s(tyop_2Emin_2Ebool,esk12_2(X1,X5)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
c_0_32,
[final] ).
cnf(c_0_77_099,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk5_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
c_0_33,
[final] ).
cnf(c_0_78_100,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
c_0_34,
[final] ).
cnf(c_0_79_101,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(X1,esk6_2(X1,X2)) != s(X1,esk5_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
c_0_35,
[final] ).
cnf(c_0_80_102,plain,
( s(X1,esk6_2(X1,X2)) = s(X1,esk5_2(X1,X2))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
c_0_36,
[final] ).
cnf(c_0_81_103,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk5_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
c_0_37,
[final] ).
cnf(c_0_82_104,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
c_0_38,
[final] ).
cnf(c_0_83_105,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(X1,esk6_2(X1,X2)) != s(X1,esk5_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
c_0_39,
[final] ).
cnf(c_0_84_106,plain,
( s(X1,esk6_2(X1,X2)) = s(X1,esk5_2(X1,X2))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
c_0_40,
[final] ).
cnf(c_0_85_107,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk5_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
c_0_41,
[final] ).
cnf(c_0_86_108,plain,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
c_0_42,
[final] ).
cnf(c_0_87_109,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| s(X1,esk6_2(X1,X2)) != s(X1,esk5_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
c_0_43,
[final] ).
cnf(c_0_88_110,plain,
( s(X1,esk6_2(X1,X2)) = s(X1,esk5_2(X1,X2))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)))),s(X1,esk5_2(X1,X2)))),s(X1,esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk4_2(X1,X2)),s(X1,esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk8_3(X1,X2,X3)))),s(X1,esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)))),s(X1,esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk10_4(X1,X2,X3,X4)),s(X1,esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
c_0_44,
[final] ).
cnf(c_0_89_111,plain,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) = s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk2_2(X1,X4)),s(X1,esk3_2(X1,X4)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,esk3_2(X1,X4)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk1_2(X1,X4)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk2_2(X1,X4)))),s(X1,esk3_2(X1,X4))))) ),
c_0_45,
[final] ).
cnf(c_0_90_112,plain,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) = s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk2_2(X1,X4)))),s(X1,esk3_2(X1,X4)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,esk3_2(X1,X4)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk1_2(X1,X4))))) ),
c_0_46,
[final] ).
cnf(c_0_91_113,plain,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) = s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk2_2(X1,X4)))),s(X1,esk3_2(X1,X4)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),esk2_2(X1,X4)),s(X1,esk3_2(X1,X4))))) ),
c_0_47,
[final] ).
cnf(c_0_92_114,plain,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),esk18_0)))),
c_0_48,
[final] ).
cnf(c_0_93_115,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),esk18_0)))),
c_0_49,
[final] ).
cnf(c_0_94_116,plain,
( p(s(tyop_2Emin_2Ebool,esk17_2(X1,X2)))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_50,
[final] ).
cnf(c_0_95_117,plain,
( p(s(tyop_2Emin_2Ebool,esk17_2(X1,X2)))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_51,
[final] ).
cnf(c_0_96_118,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,esk16_2(X2,X1))) ),
c_0_52,
[final] ).
cnf(c_0_97_119,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,esk16_2(X2,X1)))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_53,
[final] ).
cnf(c_0_98_120,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,esk16_2(X2,X1)))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_54,
[final] ).
cnf(c_0_99_121,plain,
( p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_55,
[final] ).
cnf(c_0_100_122,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_56,
[final] ).
cnf(c_0_101_123,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_57,
[final] ).
cnf(c_0_102_124,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,esk17_2(X1,X2))) ),
c_0_58,
[final] ).
cnf(c_0_103_125,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,esk17_2(X1,X2))) ),
c_0_59,
[final] ).
cnf(c_0_104_126,plain,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_60,
[final] ).
cnf(c_0_105_127,plain,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_61,
[final] ).
cnf(c_0_106_128,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_62,
[final] ).
cnf(c_0_107_129,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_63,
[final] ).
cnf(c_0_108_130,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_64,
[final] ).
cnf(c_0_109_131,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_65,
[final] ).
cnf(c_0_110_132,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_66,
[final] ).
cnf(c_0_111_133,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_67,
[final] ).
cnf(c_0_112_134,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
c_0_68,
[final] ).
cnf(c_0_113_135,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
c_0_69,
[final] ).
cnf(c_0_114_136,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
c_0_70,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_71_0,axiom,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk13_2(X1,X5))
| s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk14_2(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_71]) ).
cnf(c_0_71_1,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk13_2(X1,X5))
| s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk14_2(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_71]) ).
cnf(c_0_71_2,axiom,
( s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk13_2(X1,X5))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk14_2(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_71]) ).
cnf(c_0_71_3,axiom,
( s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk14_2(X1,X5))
| s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk13_2(X1,X5))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_71]) ).
cnf(c_0_72_0,axiom,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk14_2(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_72]) ).
cnf(c_0_72_1,axiom,
( s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk14_2(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_72]) ).
cnf(c_0_72_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk14_2(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_72]) ).
cnf(c_0_72_3,axiom,
( s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk14_2(X1,X5))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_72]) ).
cnf(c_0_73_0,axiom,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk13_2(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_73]) ).
cnf(c_0_73_1,axiom,
( s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk13_2(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_73]) ).
cnf(c_0_73_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk13_2(X1,X5)) ),
inference(literals_permutation,[status(thm)],[c_0_73]) ).
cnf(c_0_73_3,axiom,
( s(X1,sk2_esk15_2(X1,X5)) != s(X1,sk2_esk13_2(X1,X5))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_73]) ).
cnf(c_0_74_0,axiom,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5))))) ),
inference(literals_permutation,[status(thm)],[c_0_74]) ).
cnf(c_0_74_1,axiom,
( s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5))))) ),
inference(literals_permutation,[status(thm)],[c_0_74]) ).
cnf(c_0_74_2,axiom,
( s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5))))) ),
inference(literals_permutation,[status(thm)],[c_0_74]) ).
cnf(c_0_74_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_74]) ).
cnf(c_0_75_0,axiom,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,sk2_esk15_2(X1,X5)) = s(X1,sk2_esk13_2(X1,X5))
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(literals_permutation,[status(thm)],[c_0_75]) ).
cnf(c_0_75_1,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| s(X1,sk2_esk15_2(X1,X5)) = s(X1,sk2_esk13_2(X1,X5))
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(literals_permutation,[status(thm)],[c_0_75]) ).
cnf(c_0_75_2,axiom,
( s(X1,sk2_esk15_2(X1,X5)) = s(X1,sk2_esk13_2(X1,X5))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(literals_permutation,[status(thm)],[c_0_75]) ).
cnf(c_0_75_3,axiom,
( s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(X1,sk2_esk15_2(X1,X5)) = s(X1,sk2_esk13_2(X1,X5))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_75]) ).
cnf(c_0_76_0,axiom,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,sk2_esk15_2(X1,X5)) = s(X1,sk2_esk14_2(X1,X5))
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_76_1,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| s(X1,sk2_esk15_2(X1,X5)) = s(X1,sk2_esk14_2(X1,X5))
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_76_2,axiom,
( s(X1,sk2_esk15_2(X1,X5)) = s(X1,sk2_esk14_2(X1,X5))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4)))
| s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_76_3,axiom,
( s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(X1,sk2_esk15_2(X1,X5)) = s(X1,sk2_esk14_2(X1,X5))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,sk2_esk12_2(X1,X5)))),s(X1,sk2_esk13_2(X1,X5)))),s(X1,sk2_esk14_2(X1,X5)))),s(X1,sk2_esk15_2(X1,X5)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Ebool,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)))),X5),s(tyop_2Emin_2Ebool,X2))),s(X1,X3))),s(X1,X4))))) = s(X1,c_2Ebool_2ECOND_2E3(s(tyop_2Emin_2Ebool,X2),s(X1,X3),s(X1,X4))) ),
inference(literals_permutation,[status(thm)],[c_0_76]) ).
cnf(c_0_77_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_1,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_3,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_4,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_5,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_77_6,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2))))) ),
inference(literals_permutation,[status(thm)],[c_0_77]) ).
cnf(c_0_78_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_1,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_3,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_4,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_5,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_78_6,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2))))) ),
inference(literals_permutation,[status(thm)],[c_0_78]) ).
cnf(c_0_79_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_1,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_2,axiom,
( s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_3,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_4,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_5,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_79_6,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_79]) ).
cnf(c_0_80_0,axiom,
( s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_1,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_2,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_4,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_5,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_6,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_7,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_80_8,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_80]) ).
cnf(c_0_81_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_1,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_3,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_4,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_81_5,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2))))) ),
inference(literals_permutation,[status(thm)],[c_0_81]) ).
cnf(c_0_82_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_1,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_3,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_4,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_82_5,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2))))) ),
inference(literals_permutation,[status(thm)],[c_0_82]) ).
cnf(c_0_83_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_1,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_2,axiom,
( s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_3,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_4,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_83_5,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_83]) ).
cnf(c_0_84_0,axiom,
( s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_1,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_2,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_4,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_5,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_6,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_84_7,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_84]) ).
cnf(c_0_85_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_1,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_3,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_4,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_85_5,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2))))) ),
inference(literals_permutation,[status(thm)],[c_0_85]) ).
cnf(c_0_86_0,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_1,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_3,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_4,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_86_5,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2))))) ),
inference(literals_permutation,[status(thm)],[c_0_86]) ).
cnf(c_0_87_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_1,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_2,axiom,
( s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_3,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_4,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_87_5,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(X1,sk2_esk6_2(X1,X2)) != s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))))) ),
inference(literals_permutation,[status(thm)],[c_0_87]) ).
cnf(c_0_88_0,axiom,
( s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_1,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_2,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_4,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_5,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_6,axiom,
( s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6)))) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_88_7,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS__UNIQUE_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)))),s(X1,sk2_esk11_4(X1,X2,X3,X4)))) != s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk10_4(X1,X2,X3,X4)),s(X1,sk2_esk11_4(X1,X2,X3,X4))))
| s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X3),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3)))) != s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__FORALL_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk7_3(X1,X2,X3)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk8_3(X1,X2,X3)))),s(X1,sk2_esk9_3(X1,X2,X3))))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk5_2(X1,X2)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)),s(X1,sk2_esk6_2(X1,X2)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ERES__EXISTS_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X5),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X6))))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk4_2(X1,X2)))),s(X1,sk2_esk5_2(X1,X2)))),s(X1,sk2_esk6_2(X1,X2)))))
| s(X1,sk2_esk6_2(X1,X2)) = s(X1,sk2_esk5_2(X1,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_88]) ).
cnf(c_0_89_0,axiom,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) = s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)),s(X1,sk2_esk3_2(X1,X4)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,sk2_esk3_2(X1,X4)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)))),s(X1,sk2_esk3_2(X1,X4))))) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_1,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)),s(X1,sk2_esk3_2(X1,X4)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) = s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,sk2_esk3_2(X1,X4)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)))),s(X1,sk2_esk3_2(X1,X4))))) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,sk2_esk3_2(X1,X4)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)),s(X1,sk2_esk3_2(X1,X4)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) = s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)))),s(X1,sk2_esk3_2(X1,X4))))) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_89_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)))),s(X1,sk2_esk3_2(X1,X4)))))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,sk2_esk3_2(X1,X4)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4)))))
| ~ p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)),s(X1,sk2_esk3_2(X1,X4)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) = s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_89]) ).
cnf(c_0_90_0,axiom,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) = s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)))),s(X1,sk2_esk3_2(X1,X4)))))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,sk2_esk3_2(X1,X4)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4))))) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_1,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)))),s(X1,sk2_esk3_2(X1,X4)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) = s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,sk2_esk3_2(X1,X4)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4))))) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_90_2,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EIN_2E2(s(X1,sk2_esk3_2(X1,X4)),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)))),s(X1,sk2_esk3_2(X1,X4)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) = s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_90]) ).
cnf(c_0_91_0,axiom,
( s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) = s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)))),s(X1,sk2_esk3_2(X1,X4)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)),s(X1,sk2_esk3_2(X1,X4))))) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_1,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)))),s(X1,sk2_esk3_2(X1,X4)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) = s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3)))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)),s(X1,sk2_esk3_2(X1,X4))))) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_91_2,axiom,
( p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)),s(X1,sk2_esk3_2(X1,X4)))))
| p(s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk1_2(X1,X4)))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),sk2_esk2_2(X1,X4)))),s(X1,sk2_esk3_2(X1,X4)))))
| s(X1,c_2Emin_2E_40_2E1(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool)),app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool))),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))))) = s(X1,c_2Ebool_2ERES__SELECT_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3))) ),
inference(literals_permutation,[status(thm)],[c_0_91]) ).
cnf(c_0_94_0,axiom,
( p(s(tyop_2Emin_2Ebool,sk2_esk17_2(X1,X2)))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,sk2_esk17_2(X1,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,sk2_esk17_2(X1,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_94_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,sk2_esk17_2(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_94]) ).
cnf(c_0_95_0,axiom,
( p(s(tyop_2Emin_2Ebool,sk2_esk17_2(X1,X2)))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,sk2_esk17_2(X1,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,sk2_esk17_2(X1,X2)))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_95_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,sk2_esk17_2(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_95]) ).
cnf(c_0_96_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,sk2_esk16_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,sk2_esk16_2(X2,X1))) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_96_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,sk2_esk16_2(X2,X1)))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_96]) ).
cnf(c_0_97_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,sk2_esk16_2(X2,X1)))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,sk2_esk16_2(X2,X1)))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_2,axiom,
( p(s(tyop_2Emin_2Ebool,sk2_esk16_2(X2,X1)))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,sk2_esk16_2(X2,X1)))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_98_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,sk2_esk16_2(X2,X1)))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,sk2_esk16_2(X2,X1)))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_2,axiom,
( p(s(tyop_2Emin_2Ebool,sk2_esk16_2(X2,X1)))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,sk2_esk16_2(X2,X1)))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_99_0,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_1,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_100_0,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_1,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_101_0,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_1,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_102_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,sk2_esk17_2(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_1,axiom,
( ~ p(s(tyop_2Emin_2Ebool,sk2_esk17_2(X1,X2)))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_103_0,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,sk2_esk17_2(X1,X2))) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_1,axiom,
( ~ p(s(tyop_2Emin_2Ebool,sk2_esk17_2(X1,X2)))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_104_0,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_105_0,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_106_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_107_0,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_108_0,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_109_0,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_109_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_110_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_2,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_111_0,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_2,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_112_0,axiom,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_1,axiom,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_113_0,axiom,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_1,axiom,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_114_0,axiom,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_1,axiom,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_92_0,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONTO_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),sk2_esk18_0)))),
inference(literals_permutation,[status(thm)],[c_0_92]) ).
cnf(c_0_93_0,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2EONE__ONE_2E1(s(tyop_2Emin_2Efun(tyop_2Emin_2Eind,tyop_2Emin_2Eind),sk2_esk18_0)))),
inference(literals_permutation,[status(thm)],[c_0_93]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_137,conjecture,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('<stdin>',thm_2Ebool_2ETRUTH) ).
fof(c_0_1_138,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_139,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
c_0_1 ).
cnf(c_0_3_140,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_141,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_236,plain,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('/export/starexec/sandbox/tmp/iprover_modulo_3ad1fd.p',c_0_580_0) ).
cnf(c_328,negated_conjecture,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
file('/export/starexec/sandbox/tmp/iprover_modulo_3ad1fd.p',c_0_4) ).
cnf(contradiction,plain,
$false,
inference(minisat,[status(thm)],[c_236,c_328]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : ITP001+4 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.07/0.13 % Command : iprover_modulo %s %d
% 0.14/0.34 % Computer : n024.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Fri Jun 3 05:05:21 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Running in mono-core mode
% 0.21/0.47 % Orienting using strategy Equiv(ClausalAll)
% 0.21/0.47 % FOF problem with conjecture
% 0.21/0.47 % Executing iprover_moduloopt --modulo true --schedule none --sub_typing false --res_to_prop_solver none --res_prop_simpl_given false --res_lit_sel kbo_max --large_theory_mode false --res_time_limit 1000 --res_orphan_elimination false --prep_sem_filter none --prep_unflatten false --comb_res_mult 1000 --comb_inst_mult 300 --clausifier .//eprover --clausifier_options "--tstp-format " --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_1dd127.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox/tmp/iprover_modulo_3ad1fd.p | tee /export/starexec/sandbox/tmp/iprover_modulo_out_6c8339 | grep -v "SZS"
% 0.21/0.49
% 0.21/0.49 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.21/0.49
% 0.21/0.49 %
% 0.21/0.49 % ------ iProver source info
% 0.21/0.49
% 0.21/0.49 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.21/0.49 % git: non_committed_changes: true
% 0.21/0.49 % git: last_make_outside_of_git: true
% 0.21/0.49
% 0.21/0.49 %
% 0.21/0.49 % ------ Input Options
% 0.21/0.49
% 0.21/0.49 % --out_options all
% 0.21/0.49 % --tptp_safe_out true
% 0.21/0.49 % --problem_path ""
% 0.21/0.49 % --include_path ""
% 0.21/0.49 % --clausifier .//eprover
% 0.21/0.49 % --clausifier_options --tstp-format
% 0.21/0.49 % --stdin false
% 0.21/0.49 % --dbg_backtrace false
% 0.21/0.49 % --dbg_dump_prop_clauses false
% 0.21/0.49 % --dbg_dump_prop_clauses_file -
% 0.21/0.49 % --dbg_out_stat false
% 0.21/0.49
% 0.21/0.49 % ------ General Options
% 0.21/0.49
% 0.21/0.49 % --fof false
% 0.21/0.49 % --time_out_real 150.
% 0.21/0.49 % --time_out_prep_mult 0.2
% 0.21/0.49 % --time_out_virtual -1.
% 0.21/0.49 % --schedule none
% 0.21/0.49 % --ground_splitting input
% 0.21/0.49 % --splitting_nvd 16
% 0.21/0.49 % --non_eq_to_eq false
% 0.21/0.49 % --prep_gs_sim true
% 0.21/0.49 % --prep_unflatten false
% 0.21/0.49 % --prep_res_sim true
% 0.21/0.49 % --prep_upred true
% 0.21/0.49 % --res_sim_input true
% 0.21/0.49 % --clause_weak_htbl true
% 0.21/0.49 % --gc_record_bc_elim false
% 0.21/0.49 % --symbol_type_check false
% 0.21/0.49 % --clausify_out false
% 0.21/0.49 % --large_theory_mode false
% 0.21/0.49 % --prep_sem_filter none
% 0.21/0.49 % --prep_sem_filter_out false
% 0.21/0.49 % --preprocessed_out false
% 0.21/0.49 % --sub_typing false
% 0.21/0.49 % --brand_transform false
% 0.21/0.49 % --pure_diseq_elim true
% 0.21/0.49 % --min_unsat_core false
% 0.21/0.49 % --pred_elim true
% 0.21/0.49 % --add_important_lit false
% 0.21/0.49 % --soft_assumptions false
% 0.21/0.49 % --reset_solvers false
% 0.21/0.49 % --bc_imp_inh []
% 0.21/0.49 % --conj_cone_tolerance 1.5
% 0.21/0.49 % --prolific_symb_bound 500
% 0.21/0.49 % --lt_threshold 2000
% 0.21/0.49
% 0.21/0.49 % ------ SAT Options
% 0.21/0.49
% 0.21/0.49 % --sat_mode false
% 0.21/0.49 % --sat_fm_restart_options ""
% 0.21/0.49 % --sat_gr_def false
% 0.21/0.49 % --sat_epr_types true
% 0.21/0.49 % --sat_non_cyclic_types false
% 0.21/0.49 % --sat_finite_models false
% 0.21/0.49 % --sat_fm_lemmas false
% 0.21/0.49 % --sat_fm_prep false
% 0.21/0.49 % --sat_fm_uc_incr true
% 0.21/0.49 % --sat_out_model small
% 0.21/0.49 % --sat_out_clauses false
% 0.21/0.49
% 0.21/0.49 % ------ QBF Options
% 0.21/0.49
% 0.21/0.49 % --qbf_mode false
% 0.21/0.49 % --qbf_elim_univ true
% 0.21/0.49 % --qbf_sk_in true
% 0.21/0.49 % --qbf_pred_elim true
% 0.21/0.49 % --qbf_split 32
% 0.21/0.49
% 0.21/0.49 % ------ BMC1 Options
% 0.21/0.49
% 0.21/0.49 % --bmc1_incremental false
% 0.21/0.49 % --bmc1_axioms reachable_all
% 0.21/0.49 % --bmc1_min_bound 0
% 0.21/0.49 % --bmc1_max_bound -1
% 0.21/0.49 % --bmc1_max_bound_default -1
% 0.21/0.49 % --bmc1_symbol_reachability true
% 0.21/0.49 % --bmc1_property_lemmas false
% 0.21/0.49 % --bmc1_k_induction false
% 0.21/0.49 % --bmc1_non_equiv_states false
% 0.21/0.49 % --bmc1_deadlock false
% 0.21/0.49 % --bmc1_ucm false
% 0.21/0.49 % --bmc1_add_unsat_core none
% 0.21/0.49 % --bmc1_unsat_core_children false
% 0.21/0.49 % --bmc1_unsat_core_extrapolate_axioms false
% 0.21/0.49 % --bmc1_out_stat full
% 0.21/0.49 % --bmc1_ground_init false
% 0.21/0.49 % --bmc1_pre_inst_next_state false
% 0.21/0.49 % --bmc1_pre_inst_state false
% 0.21/0.49 % --bmc1_pre_inst_reach_state false
% 0.21/0.49 % --bmc1_out_unsat_core false
% 0.21/0.49 % --bmc1_aig_witness_out false
% 0.21/0.49 % --bmc1_verbose false
% 0.21/0.49 % --bmc1_dump_clauses_tptp false
% 0.21/0.59 % --bmc1_dump_unsat_core_tptp false
% 0.21/0.59 % --bmc1_dump_file -
% 0.21/0.59 % --bmc1_ucm_expand_uc_limit 128
% 0.21/0.59 % --bmc1_ucm_n_expand_iterations 6
% 0.21/0.59 % --bmc1_ucm_extend_mode 1
% 0.21/0.59 % --bmc1_ucm_init_mode 2
% 0.21/0.59 % --bmc1_ucm_cone_mode none
% 0.21/0.59 % --bmc1_ucm_reduced_relation_type 0
% 0.21/0.59 % --bmc1_ucm_relax_model 4
% 0.21/0.59 % --bmc1_ucm_full_tr_after_sat true
% 0.21/0.59 % --bmc1_ucm_expand_neg_assumptions false
% 0.21/0.59 % --bmc1_ucm_layered_model none
% 0.21/0.59 % --bmc1_ucm_max_lemma_size 10
% 0.21/0.59
% 0.21/0.59 % ------ AIG Options
% 0.21/0.59
% 0.21/0.59 % --aig_mode false
% 0.21/0.59
% 0.21/0.59 % ------ Instantiation Options
% 0.21/0.59
% 0.21/0.59 % --instantiation_flag true
% 0.21/0.59 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.21/0.59 % --inst_solver_per_active 750
% 0.21/0.59 % --inst_solver_calls_frac 0.5
% 0.21/0.59 % --inst_passive_queue_type priority_queues
% 0.21/0.59 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.21/0.59 % --inst_passive_queues_freq [25;2]
% 0.21/0.59 % --inst_dismatching true
% 0.21/0.59 % --inst_eager_unprocessed_to_passive true
% 0.21/0.59 % --inst_prop_sim_given true
% 0.21/0.59 % --inst_prop_sim_new false
% 0.21/0.59 % --inst_orphan_elimination true
% 0.21/0.59 % --inst_learning_loop_flag true
% 0.21/0.59 % --inst_learning_start 3000
% 0.21/0.59 % --inst_learning_factor 2
% 0.21/0.59 % --inst_start_prop_sim_after_learn 3
% 0.21/0.59 % --inst_sel_renew solver
% 0.21/0.59 % --inst_lit_activity_flag true
% 0.21/0.59 % --inst_out_proof true
% 0.21/0.59
% 0.21/0.59 % ------ Resolution Options
% 0.21/0.59
% 0.21/0.59 % --resolution_flag true
% 0.21/0.59 % --res_lit_sel kbo_max
% 0.21/0.59 % --res_to_prop_solver none
% 0.21/0.59 % --res_prop_simpl_new false
% 0.21/0.59 % --res_prop_simpl_given false
% 0.21/0.59 % --res_passive_queue_type priority_queues
% 0.21/0.59 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.21/0.59 % --res_passive_queues_freq [15;5]
% 0.21/0.59 % --res_forward_subs full
% 0.21/0.59 % --res_backward_subs full
% 0.21/0.59 % --res_forward_subs_resolution true
% 0.21/0.59 % --res_backward_subs_resolution true
% 0.21/0.59 % --res_orphan_elimination false
% 0.21/0.59 % --res_time_limit 1000.
% 0.21/0.59 % --res_out_proof true
% 0.21/0.59 % --proof_out_file /export/starexec/sandbox/tmp/iprover_proof_1dd127.s
% 0.21/0.59 % --modulo true
% 0.21/0.59
% 0.21/0.59 % ------ Combination Options
% 0.21/0.59
% 0.21/0.59 % --comb_res_mult 1000
% 0.21/0.59 % --comb_inst_mult 300
% 0.21/0.59 % ------
% 0.21/0.59
% 0.21/0.59 % ------ Parsing...% successful
% 0.21/0.59
% 0.21/0.59 %
% 0.21/0.59
% 0.21/0.59
% 0.21/0.59 % ------ Statistics
% 0.21/0.59
% 0.21/0.59 % ------ General
% 0.21/0.59
% 0.21/0.59 % num_of_input_clauses: 329
% 0.21/0.59 % num_of_input_neg_conjectures: 1
% 0.21/0.59 % num_of_splits: 0
% 0.21/0.59 % num_of_split_atoms: 0
% 0.21/0.59 % num_of_sem_filtered_clauses: 0
% 0.21/0.59 % num_of_subtypes: 0
% 0.21/0.59 % monotx_restored_types: 0
% 0.21/0.59 % sat_num_of_epr_types: 0
% 0.21/0.59 % sat_num_of_non_cyclic_types: 0
% 0.21/0.59 % sat_guarded_non_collapsed_types: 0
% 0.21/0.59 % is_epr: 0
% 0.21/0.59 % is_horn: 0
% 0.21/0.59 % has_eq: 0
% 0.21/0.59 % num_pure_diseq_elim: 0
% 0.21/0.59 % simp_replaced_by: 0
% 0.21/0.59 % res_preprocessed: 0
% 0.21/0.59 % prep_upred: 0
% 0.21/0.59 % prep_unflattend: 0
% 0.21/0.59 % pred_elim_cands: 0
% 0.21/0.59 % pred_elim: 0
% 0.21/0.59 % pred_elim_cl: 0
% 0.21/0.59 % pred_elim_cycles: 0
% 0.21/0.59 % forced_gc_time: 0
% 0.21/0.59 % gc_basic_clause_elim: 0
% 0.21/0.59 % parsing_time: 0.096
% 0.21/0.59 % sem_filter_time: 0.
% 0.21/0.59 % pred_elim_time: 0.
% 0.21/0.59 % out_proof_time: 0.
% 0.21/0.59 % monotx_time: 0.
% 0.21/0.59 % subtype_inf_time: 0.
% 0.21/0.59 % unif_index_cands_time: 0.
% 0.21/0.59 % unif_index_add_time: 0.
% 0.21/0.59 % total_time: 0.116
% 0.21/0.59 % num_of_symbols: 119
% 0.21/0.59 % num_of_terms: 1942
% 0.21/0.59
% 0.21/0.59 % ------ Propositional Solver
% 0.21/0.59
% 0.21/0.59 % prop_solver_calls: 0
% 0.21/0.59 % prop_fast_solver_calls: 0
% 0.21/0.59 % prop_num_of_clauses: 118
% 0.21/0.59 % prop_preprocess_simplified: 65
% 0.21/0.59 % prop_fo_subsumed: 0
% 0.21/0.59 % prop_solver_time: 0.
% 0.21/0.59 % prop_fast_solver_time: 0.
% 0.21/0.59 % prop_unsat_core_time: 0.
% 0.21/0.59
% 0.21/0.59 % ------ QBF
% 0.21/0.59
% 0.21/0.59 % qbf_q_res: 0
% 0.21/0.59 % qbf_num_tautologies: 0
% 0.21/0.59 % qbf_prep_cycles: 0
% 0.21/0.59
% 0.21/0.59 % ------ BMC1
% 0.21/0.59
% 0.21/0.59 % bmc1_current_bound: -1
% 0.21/0.59 % bmc1_last_solved_bound: -1
% 0.21/0.59 % bmc1_unsat_core_size: -1
% 0.21/0.59 % bmc1_unsat_core_parents_size: -1
% 0.21/0.59 % bmc1_merge_next_fun: 0
% 0.21/0.59 % bmc1_unsat_core_clauses_time: 0.
% 0.21/0.59
% 0.21/0.59 % ------ Instantiation
% 0.21/0.59
% 0.21/0.59 % inst_num_of_clauses: undef
% 0.21/0.59 % inst_num_in_passive: undef
% 0.21/0.59 % inst_num_in_active: 0
% 0.21/0.59 % inst_num_in_unprocessed: 0
% 0.21/0.59 % inst_num_of_loops: 0
% 0.21/0.59 % inst_num_of_learning_restarts: 0
% 0.21/0.59 % inst_num_moves_active_passive: 0
% 0.21/0.59 % inst_lit_activity: 0
% 0.21/0.59 % inst_lit_activity_moves: 0
% 0.21/0.59 % inst_num_tautologies: 0
% 0.21/0.59 % inst_num_prop_implied: 0
% 0.21/0.59 % inst_num_existing_simplified: 0
% 0.21/0.59 % inst_num_eq_res_simplified: 0
% 0.21/0.59 % inst_num_child_elim: 0
% 0.21/0.59 % inst_num_of_dismatching_blockings: 0
% 0.21/0.59 % inst_num_of_non_proper_insts: 0
% 0.21/0.59 % inst_num_of_duplicates: 0
% 0.21/0.59 % inst_inst_num_from_inst_to_res: 0
% 0.21/0.59 % inst_dismatching_checking_time: 0.
% 0.21/0.59
% 0.21/0.59 % ------ Resolution
% 0.21/0.59
% 0.21/0.59 % res_num_of_clauses: undef
% 0.21/0.59 % res_num_in_passive: undef
% 0.21/0.59 % res_num_in_active: 0
% 0.21/0.59 % res_num_of_loops: 0
% 0.21/0.59 % res_forward_subset_subsumed: 0
% 0.21/0.59 % res_backward_subset_subsumed: 0
% 0.21/0.59 % res_forward_subsumed: 0
% 0.21/0.59 % res_backward_subsumed: 0
% 0.21/0.59 % res_forward_subsumption_resolution: 0
% 0.21/0.59 % res_backward_subsumption_resolution: 0
% 0.21/0.59 % res_clause_to_clause_subsumption: 0
% 0.21/0.59 % res_orphan_elimination: 0
% 0.21/0.59 % res_tautology_del: 0
% 0.21/0.59 % res_num_eq_res_simplified: 0
% 0.21/0.59 % res_num_sel_changes: 0
% 0.21/0.59 % res_moves_from_active_to_pass: 0
% 0.21/0.59
% 0.21/0.59 % Status Unsatisfiable
% 0.21/0.59 % SZS status Theorem
% 0.21/0.59 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------