TSTP Solution File: ITP010+1 by iProverMo---2.5-0.1
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%------------------------------------------------------------------------------
% File : iProverMo---2.5-0.1
% Problem : ITP010+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% Transfm : none
% Format : tptp:raw
% Command : iprover_modulo %s %d
% Computer : n018.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 23:08:58 EDT 2022
% Result : Theorem 0.20s 0.46s
% Output : CNFRefutation 0.20s
% 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_2Esat_2EAND__INV__IMP,axiom,
! [V0A_2E0] :
( p(s(tyop_2Emin_2Ebool,V0A_2E0))
=> ( ~ p(s(tyop_2Emin_2Ebool,V0A_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
input ).
fof(thm_2Esat_2EAND__INV__IMP_0,plain,
! [V0A_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,V0A_2E0))
| ( ~ p(s(tyop_2Emin_2Ebool,V0A_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(orientation,[status(thm)],[thm_2Esat_2EAND__INV__IMP]) ).
fof(thm_2Esat_2ENOT__NOT,axiom,
! [V0t_2E0] :
( ~ ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
<=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
input ).
fof(thm_2Esat_2ENOT__NOT_0,plain,
! [V0t_2E0] :
( p(s(tyop_2Emin_2Ebool,V0t_2E0))
| ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Esat_2ENOT__NOT]) ).
fof(thm_2Esat_2ENOT__NOT_1,plain,
! [V0t_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
| ~ ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Esat_2ENOT__NOT]) ).
fof(thm_2Ebool_2EEQ__CLAUSES,axiom,
! [V0t_2E0] :
( ( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0)
<=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
& ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
<=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
& ( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
& ( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
input ).
fof(thm_2Ebool_2EEQ__CLAUSES_0,plain,
! [V0t_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0)
| ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
fof(thm_2Ebool_2EEQ__CLAUSES_1,plain,
! [V0t_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,V0t_2E0)
| p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
fof(thm_2Ebool_2EEQ__CLAUSES_2,plain,
! [V0t_2E0] :
( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
fof(thm_2Ebool_2EEQ__CLAUSES_3,plain,
! [V0t_2E0] :
( s(tyop_2Emin_2Ebool,V0t_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
fof(thm_2Ebool_2EEQ__CLAUSES_4,plain,
! [V0t_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0)
| p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
fof(thm_2Ebool_2EEQ__CLAUSES_5,plain,
! [V0t_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,V0t_2E0)
| ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
fof(thm_2Ebool_2EEQ__CLAUSES_6,plain,
! [V0t_2E0] :
( s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
fof(thm_2Ebool_2EEQ__CLAUSES_7,plain,
! [V0t_2E0] :
( s(tyop_2Emin_2Ebool,V0t_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES]) ).
fof(thm_2Ebool_2EREFL__CLAUSE,axiom,
! [A_27a,V0x_2E0] :
( s(A_27a,V0x_2E0) = s(A_27a,V0x_2E0)
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
input ).
fof(thm_2Ebool_2EREFL__CLAUSE_0,plain,
! [A_27a,V0x_2E0] :
( s(A_27a,V0x_2E0) = s(A_27a,V0x_2E0)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EREFL__CLAUSE]) ).
fof(thm_2Ebool_2EREFL__CLAUSE_1,plain,
! [A_27a,V0x_2E0] :
( s(A_27a,V0x_2E0) != s(A_27a,V0x_2E0)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EREFL__CLAUSE]) ).
fof(thm_2Ebool_2ENOT__CLAUSES,axiom,
( ! [V0t_2E0] :
( ~ ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
<=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
input ).
fof(thm_2Ebool_2ENOT__CLAUSES_0,plain,
! [V0t_2E0] :
( p(s(tyop_2Emin_2Ebool,V0t_2E0))
| ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ENOT__CLAUSES]) ).
fof(thm_2Ebool_2ENOT__CLAUSES_1,plain,
! [V0t_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
| ~ ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ENOT__CLAUSES]) ).
fof(thm_2Ebool_2ENOT__CLAUSES_2,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ENOT__CLAUSES]) ).
fof(thm_2Ebool_2ENOT__CLAUSES_3,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ENOT__CLAUSES]) ).
fof(thm_2Ebool_2ENOT__CLAUSES_4,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ENOT__CLAUSES]) ).
fof(thm_2Ebool_2ENOT__CLAUSES_5,plain,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2ENOT__CLAUSES]) ).
fof(thm_2Ebool_2EIMP__CLAUSES,axiom,
! [V0t_2E0] :
( ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) )
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) )
& ( ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
<=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
input ).
fof(thm_2Ebool_2EIMP__CLAUSES_0,plain,
! [V0t_2E0] :
( p(s(tyop_2Emin_2Ebool,V0t_2E0))
| ~ ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
fof(thm_2Ebool_2EIMP__CLAUSES_1,plain,
! [V0t_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
| ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
fof(thm_2Ebool_2EIMP__CLAUSES_2,plain,
! [V0t_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
fof(thm_2Ebool_2EIMP__CLAUSES_3,plain,
! [V0t_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
fof(thm_2Ebool_2EIMP__CLAUSES_4,plain,
! [V0t_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
fof(thm_2Ebool_2EIMP__CLAUSES_5,plain,
! [V0t_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
fof(thm_2Ebool_2EIMP__CLAUSES_6,plain,
! [V0t_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
fof(thm_2Ebool_2EIMP__CLAUSES_7,plain,
! [V0t_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
fof(thm_2Ebool_2EIMP__CLAUSES_8,plain,
! [V0t_2E0] :
( p(s(tyop_2Emin_2Ebool,V0t_2E0))
| ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
fof(thm_2Ebool_2EIMP__CLAUSES_9,plain,
! [V0t_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
| ~ ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES]) ).
fof(thm_2Ebool_2EFORALL__SIMP,axiom,
! [A_27a,V0t_2E0] :
( ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,V0t_2E0))
<=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
input ).
fof(thm_2Ebool_2EFORALL__SIMP_0,plain,
! [V0t_2E0] :
( p(s(tyop_2Emin_2Ebool,V0t_2E0))
| ~ ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EFORALL__SIMP]) ).
fof(thm_2Ebool_2EFORALL__SIMP_1,plain,
! [V0t_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,V0t_2E0))
| ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EFORALL__SIMP]) ).
fof(thm_2Ebool_2EFALSITY,axiom,
! [V0t_2E0] :
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
input ).
fof(thm_2Ebool_2EFALSITY_0,plain,
! [V0t_2E0] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(orientation,[status(thm)],[thm_2Ebool_2EFALSITY]) ).
fof(thm_2Ebool_2ETRUTH,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
input ).
fof(thm_2Ebool_2ETRUTH_0,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| $false ),
inference(orientation,[status(thm)],[thm_2Ebool_2ETRUTH]) ).
fof(arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27b_20mono_2EA_27a,axiom,
! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27b,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_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))),
input ).
fof(arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27b_20mono_2EA_27a_0,plain,
! [A_27a,A_27b,X0_2E0,X1_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27b,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_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27b_20mono_2EA_27a]) ).
fof(arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27a_20mono_2EA_27b,axiom,
! [A_27a,A_27b,X0_2E0,X1_2E0] : s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,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_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))),
input ).
fof(arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27a_20mono_2EA_27b_0,plain,
! [A_27a,A_27b,X0_2E0,X1_2E0] :
( s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,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_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0)))
| $false ),
inference(orientation,[status(thm)],[arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27a_20mono_2EA_27b]) ).
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(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_0,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_0,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_0,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_0,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_0,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_0,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_0,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_1,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_0,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_1,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_0,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_1,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_0,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_1,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_0,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_1,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_0,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_1,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_0,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_1,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_0,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_1,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_0,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_1,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_0,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_1,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_0,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_1,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_0,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_1,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_0,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_0,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_0,def_lhs_atom33]) ).
fof(def_lhs_atom34,axiom,
! [X1_2E0,X0_2E0,A_27b,A_27a] :
( lhs_atom34(X1_2E0,X0_2E0,A_27b,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27b,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_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X1_2E0))) ),
inference(definition,[],]) ).
fof(to_be_clausified_33,plain,
! [A_27a,A_27b,X0_2E0,X1_2E0] :
( lhs_atom34(X1_2E0,X0_2E0,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27a_20mono_2EA_27b_0,def_lhs_atom34]) ).
fof(def_lhs_atom35,axiom,
! [X1_2E0,X0_2E0,A_27b,A_27a] :
( lhs_atom35(X1_2E0,X0_2E0,A_27b,A_27a)
<=> s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(A_27b,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_27b,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(A_27b,tyop_2Emin_2Ebool),X0_2E0))),s(tyop_2Emin_2Efun(A_27a,tyop_2Emin_2Ebool),X1_2E0))) ),
inference(definition,[],]) ).
fof(to_be_clausified_34,plain,
! [A_27a,A_27b,X0_2E0,X1_2E0] :
( lhs_atom35(X1_2E0,X0_2E0,A_27b,A_27a)
| $false ),
inference(fold_definition,[status(thm)],[arityeq2_2Ec_2Ecardinal_2Ecardleq_2E2_2Emono_2EA_27b_20mono_2EA_27a_0,def_lhs_atom35]) ).
fof(to_be_clausified_35,plain,
( lhs_atom3
| $false ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ETRUTH_0,def_lhs_atom3]) ).
fof(to_be_clausified_36,plain,
! [V0t_2E0] :
( lhs_atom4
| p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EFALSITY_0,def_lhs_atom4]) ).
fof(def_lhs_atom36,axiom,
! [V0t_2E0] :
( lhs_atom36(V0t_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(definition,[],]) ).
fof(to_be_clausified_37,plain,
! [V0t_2E0] :
( lhs_atom36(V0t_2E0)
| ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EFORALL__SIMP_1,def_lhs_atom36]) ).
fof(def_lhs_atom37,axiom,
! [V0t_2E0] :
( lhs_atom37(V0t_2E0)
<=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(definition,[],]) ).
fof(to_be_clausified_38,plain,
! [V0t_2E0] :
( lhs_atom37(V0t_2E0)
| ~ ! [V1x_2E0] : p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EFORALL__SIMP_0,def_lhs_atom37]) ).
fof(to_be_clausified_39,plain,
! [V0t_2E0] :
( lhs_atom36(V0t_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES_9,def_lhs_atom36]) ).
fof(to_be_clausified_40,plain,
! [V0t_2E0] :
( lhs_atom37(V0t_2E0)
| ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES_8,def_lhs_atom37]) ).
fof(def_lhs_atom38,axiom,
( lhs_atom38
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(definition,[],]) ).
fof(to_be_clausified_41,plain,
! [V0t_2E0] :
( lhs_atom38
| ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES_7,def_lhs_atom38]) ).
fof(to_be_clausified_42,plain,
! [V0t_2E0] :
( lhs_atom3
| ~ ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES_6,def_lhs_atom3]) ).
fof(to_be_clausified_43,plain,
! [V0t_2E0] :
( lhs_atom38
| ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES_5,def_lhs_atom38]) ).
fof(to_be_clausified_44,plain,
! [V0t_2E0] :
( lhs_atom3
| ~ ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES_4,def_lhs_atom3]) ).
fof(to_be_clausified_45,plain,
! [V0t_2E0] :
( lhs_atom38
| ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES_3,def_lhs_atom38]) ).
fof(to_be_clausified_46,plain,
! [V0t_2E0] :
( lhs_atom3
| ~ ( p(s(tyop_2Emin_2Ebool,V0t_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES_2,def_lhs_atom3]) ).
fof(to_be_clausified_47,plain,
! [V0t_2E0] :
( lhs_atom36(V0t_2E0)
| ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES_1,def_lhs_atom36]) ).
fof(to_be_clausified_48,plain,
! [V0t_2E0] :
( lhs_atom37(V0t_2E0)
| ~ ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,V0t_2E0)) ) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EIMP__CLAUSES_0,def_lhs_atom37]) ).
fof(to_be_clausified_49,plain,
( lhs_atom38
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ENOT__CLAUSES_5,def_lhs_atom38]) ).
fof(to_be_clausified_50,plain,
( lhs_atom3
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ENOT__CLAUSES_4,def_lhs_atom3]) ).
fof(to_be_clausified_51,plain,
( lhs_atom4
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ENOT__CLAUSES_3,def_lhs_atom4]) ).
fof(def_lhs_atom39,axiom,
( lhs_atom39
<=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(definition,[],]) ).
fof(to_be_clausified_52,plain,
( lhs_atom39
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ENOT__CLAUSES_2,def_lhs_atom39]) ).
fof(to_be_clausified_53,plain,
! [V0t_2E0] :
( lhs_atom36(V0t_2E0)
| ~ ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ENOT__CLAUSES_1,def_lhs_atom36]) ).
fof(to_be_clausified_54,plain,
! [V0t_2E0] :
( lhs_atom37(V0t_2E0)
| ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2ENOT__CLAUSES_0,def_lhs_atom37]) ).
fof(def_lhs_atom40,axiom,
! [V0x_2E0,A_27a] :
( lhs_atom40(V0x_2E0,A_27a)
<=> s(A_27a,V0x_2E0) != s(A_27a,V0x_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_55,plain,
! [A_27a,V0x_2E0] :
( lhs_atom40(V0x_2E0,A_27a)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EREFL__CLAUSE_1,def_lhs_atom40]) ).
fof(def_lhs_atom41,axiom,
! [V0x_2E0,A_27a] :
( lhs_atom41(V0x_2E0,A_27a)
<=> s(A_27a,V0x_2E0) = s(A_27a,V0x_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_56,plain,
! [A_27a,V0x_2E0] :
( lhs_atom41(V0x_2E0,A_27a)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EREFL__CLAUSE_0,def_lhs_atom41]) ).
fof(def_lhs_atom42,axiom,
! [V0t_2E0] :
( lhs_atom42(V0t_2E0)
<=> s(tyop_2Emin_2Ebool,V0t_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_57,plain,
! [V0t_2E0] :
( lhs_atom42(V0t_2E0)
| ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES_7,def_lhs_atom42]) ).
fof(def_lhs_atom43,axiom,
! [V0t_2E0] :
( lhs_atom43(V0t_2E0)
<=> s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_58,plain,
! [V0t_2E0] :
( lhs_atom43(V0t_2E0)
| p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES_6,def_lhs_atom43]) ).
fof(def_lhs_atom44,axiom,
! [V0t_2E0] :
( lhs_atom44(V0t_2E0)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,V0t_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_59,plain,
! [V0t_2E0] :
( lhs_atom44(V0t_2E0)
| ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES_5,def_lhs_atom44]) ).
fof(def_lhs_atom45,axiom,
! [V0t_2E0] :
( lhs_atom45(V0t_2E0)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_60,plain,
! [V0t_2E0] :
( lhs_atom45(V0t_2E0)
| p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES_4,def_lhs_atom45]) ).
fof(def_lhs_atom46,axiom,
! [V0t_2E0] :
( lhs_atom46(V0t_2E0)
<=> s(tyop_2Emin_2Ebool,V0t_2E0) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_61,plain,
! [V0t_2E0] :
( lhs_atom46(V0t_2E0)
| p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES_3,def_lhs_atom46]) ).
fof(def_lhs_atom47,axiom,
! [V0t_2E0] :
( lhs_atom47(V0t_2E0)
<=> s(tyop_2Emin_2Ebool,V0t_2E0) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_62,plain,
! [V0t_2E0] :
( lhs_atom47(V0t_2E0)
| ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES_2,def_lhs_atom47]) ).
fof(def_lhs_atom48,axiom,
! [V0t_2E0] :
( lhs_atom48(V0t_2E0)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,V0t_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_63,plain,
! [V0t_2E0] :
( lhs_atom48(V0t_2E0)
| p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES_1,def_lhs_atom48]) ).
fof(def_lhs_atom49,axiom,
! [V0t_2E0] :
( lhs_atom49(V0t_2E0)
<=> s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,V0t_2E0) ),
inference(definition,[],]) ).
fof(to_be_clausified_64,plain,
! [V0t_2E0] :
( lhs_atom49(V0t_2E0)
| ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Ebool_2EEQ__CLAUSES_0,def_lhs_atom49]) ).
fof(to_be_clausified_65,plain,
! [V0t_2E0] :
( lhs_atom36(V0t_2E0)
| ~ ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Esat_2ENOT__NOT_1,def_lhs_atom36]) ).
fof(to_be_clausified_66,plain,
! [V0t_2E0] :
( lhs_atom37(V0t_2E0)
| ~ p(s(tyop_2Emin_2Ebool,V0t_2E0)) ),
inference(fold_definition,[status(thm)],[thm_2Esat_2ENOT__NOT_0,def_lhs_atom37]) ).
fof(def_lhs_atom50,axiom,
! [V0A_2E0] :
( lhs_atom50(V0A_2E0)
<=> ~ p(s(tyop_2Emin_2Ebool,V0A_2E0)) ),
inference(definition,[],]) ).
fof(to_be_clausified_67,plain,
! [V0A_2E0] :
( lhs_atom50(V0A_2E0)
| ( ~ p(s(tyop_2Emin_2Ebool,V0A_2E0))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(fold_definition,[status(thm)],[thm_2Esat_2EAND__INV__IMP_0,def_lhs_atom50]) ).
% Start CNF derivation
fof(c_0_0,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_1,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_2,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_3,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_4,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_5,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_6,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_7,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_8,axiom,
! [X12,X13,X3,X4] :
( lhs_atom35(X12,X13,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_34) ).
fof(c_0_9,axiom,
! [X12,X13,X3,X4] :
( lhs_atom34(X12,X13,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_33) ).
fof(c_0_10,axiom,
! [X9,X8,X3,X4] :
( lhs_atom6(X9,X8,X3,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_5) ).
fof(c_0_11,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_12,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_13,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_14,axiom,
! [X6,X7,X4] :
( lhs_atom17(X6,X7,X4)
| s(X4,X7) != s(X4,X6) ),
file('<stdin>',to_be_clausified_16) ).
fof(c_0_15,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_16,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_17,axiom,
! [X6,X7,X4] :
( lhs_atom16(X6,X7,X4)
| s(X4,X7) = s(X4,X6) ),
file('<stdin>',to_be_clausified_15) ).
fof(c_0_18,axiom,
! [X14] :
( lhs_atom37(X14)
| ( p(s(tyop_2Emin_2Ebool,X14))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
file('<stdin>',to_be_clausified_40) ).
fof(c_0_19,axiom,
! [X14] :
( lhs_atom36(X14)
| ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,X14)) ) ),
file('<stdin>',to_be_clausified_47) ).
fof(c_0_20,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_21,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_22,axiom,
! [X14] :
( lhs_atom38
| ( p(s(tyop_2Emin_2Ebool,X14))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
file('<stdin>',to_be_clausified_45) ).
fof(c_0_23,axiom,
! [X14] :
( lhs_atom38
| ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,X14)) ) ),
file('<stdin>',to_be_clausified_43) ).
fof(c_0_24,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_25,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_26,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_27,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_28,axiom,
! [X15] :
( lhs_atom50(X15)
| ( ~ p(s(tyop_2Emin_2Ebool,X15))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
file('<stdin>',to_be_clausified_67) ).
fof(c_0_29,axiom,
! [X8,X4] :
( lhs_atom41(X8,X4)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
file('<stdin>',to_be_clausified_56) ).
fof(c_0_30,axiom,
! [X14] :
( lhs_atom37(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
file('<stdin>',to_be_clausified_66) ).
fof(c_0_31,axiom,
! [X14] :
( lhs_atom49(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
file('<stdin>',to_be_clausified_64) ).
fof(c_0_32,axiom,
! [X14] :
( lhs_atom47(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
file('<stdin>',to_be_clausified_62) ).
fof(c_0_33,axiom,
! [X14] :
( lhs_atom44(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
file('<stdin>',to_be_clausified_59) ).
fof(c_0_34,axiom,
! [X14] :
( lhs_atom42(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
file('<stdin>',to_be_clausified_57) ).
fof(c_0_35,axiom,
! [X14] :
( lhs_atom37(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
file('<stdin>',to_be_clausified_54) ).
fof(c_0_36,axiom,
! [X14] :
( lhs_atom37(X14)
| ~ ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,X14)) ) ),
file('<stdin>',to_be_clausified_48) ).
fof(c_0_37,axiom,
! [X14] :
( lhs_atom37(X14)
| ~ ! [X11] : p(s(tyop_2Emin_2Ebool,X14)) ),
file('<stdin>',to_be_clausified_38) ).
fof(c_0_38,axiom,
! [X13] :
( lhs_atom26(X13)
| ~ p(s(tyop_2Emin_2Ebool,X13)) ),
file('<stdin>',to_be_clausified_25) ).
fof(c_0_39,axiom,
! [X7] :
( lhs_atom12(X7)
| ~ p(s(tyop_2Emin_2Ebool,X7)) ),
file('<stdin>',to_be_clausified_11) ).
fof(c_0_40,axiom,
! [X14] :
( lhs_atom3
| ~ ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,X14)) ) ),
file('<stdin>',to_be_clausified_44) ).
fof(c_0_41,axiom,
! [X14] :
( lhs_atom36(X14)
| ~ ( p(s(tyop_2Emin_2Ebool,X14))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
file('<stdin>',to_be_clausified_39) ).
fof(c_0_42,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_43,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_44,axiom,
( lhs_atom4
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
file('<stdin>',to_be_clausified_51) ).
fof(c_0_45,axiom,
( lhs_atom38
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
file('<stdin>',to_be_clausified_49) ).
fof(c_0_46,axiom,
! [X14] :
( lhs_atom3
| ~ ( p(s(tyop_2Emin_2Ebool,X14))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
file('<stdin>',to_be_clausified_46) ).
fof(c_0_47,axiom,
! [X8,X4] :
( lhs_atom40(X8,X4)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
file('<stdin>',to_be_clausified_55) ).
fof(c_0_48,axiom,
! [X14] :
( lhs_atom36(X14)
| ~ ~ p(s(tyop_2Emin_2Ebool,X14)) ),
file('<stdin>',to_be_clausified_65) ).
fof(c_0_49,axiom,
! [X14] :
( lhs_atom48(X14)
| p(s(tyop_2Emin_2Ebool,X14)) ),
file('<stdin>',to_be_clausified_63) ).
fof(c_0_50,axiom,
! [X14] :
( lhs_atom46(X14)
| p(s(tyop_2Emin_2Ebool,X14)) ),
file('<stdin>',to_be_clausified_61) ).
fof(c_0_51,axiom,
! [X14] :
( lhs_atom45(X14)
| p(s(tyop_2Emin_2Ebool,X14)) ),
file('<stdin>',to_be_clausified_60) ).
fof(c_0_52,axiom,
! [X14] :
( lhs_atom43(X14)
| p(s(tyop_2Emin_2Ebool,X14)) ),
file('<stdin>',to_be_clausified_58) ).
fof(c_0_53,axiom,
! [X14] :
( lhs_atom36(X14)
| ~ ~ p(s(tyop_2Emin_2Ebool,X14)) ),
file('<stdin>',to_be_clausified_53) ).
fof(c_0_54,axiom,
! [X14] :
( lhs_atom36(X14)
| ! [X11] : p(s(tyop_2Emin_2Ebool,X14)) ),
file('<stdin>',to_be_clausified_37) ).
fof(c_0_55,axiom,
! [X13] :
( lhs_atom27(X13)
| p(s(tyop_2Emin_2Ebool,X13)) ),
file('<stdin>',to_be_clausified_26) ).
fof(c_0_56,axiom,
! [X7] :
( lhs_atom13(X7)
| p(s(tyop_2Emin_2Ebool,X7)) ),
file('<stdin>',to_be_clausified_12) ).
fof(c_0_57,axiom,
! [X14] :
( lhs_atom4
| p(s(tyop_2Emin_2Ebool,X14)) ),
file('<stdin>',to_be_clausified_36) ).
fof(c_0_58,axiom,
( lhs_atom39
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
file('<stdin>',to_be_clausified_52) ).
fof(c_0_59,axiom,
( lhs_atom3
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
file('<stdin>',to_be_clausified_50) ).
fof(c_0_60,axiom,
! [X13,X4] :
( lhs_atom33(X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_32) ).
fof(c_0_61,axiom,
! [X13,X4] :
( lhs_atom32(X13,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_31) ).
fof(c_0_62,axiom,
! [X8,X4] :
( lhs_atom5(X8,X4)
| ~ $true ),
file('<stdin>',to_be_clausified_4) ).
fof(c_0_63,axiom,
! [X14] :
( lhs_atom3
| ~ ( p(s(tyop_2Emin_2Ebool,X14))
=> p(s(tyop_2Emin_2Ebool,X14)) ) ),
file('<stdin>',to_be_clausified_42) ).
fof(c_0_64,axiom,
! [X14] :
( lhs_atom38
| ( p(s(tyop_2Emin_2Ebool,X14))
=> p(s(tyop_2Emin_2Ebool,X14)) ) ),
file('<stdin>',to_be_clausified_41) ).
fof(c_0_65,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_35) ).
fof(c_0_66,axiom,
( lhs_atom4
| ~ $true ),
file('<stdin>',to_be_clausified_3) ).
fof(c_0_67,axiom,
( lhs_atom3
| ~ $true ),
file('<stdin>',to_be_clausified_2) ).
fof(c_0_68,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_0 ).
fof(c_0_69,plain,
! [X5,X1,X2,X10,X3,X4] : lhs_atom7(X5,X1,X2,X10,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_1]) ).
fof(c_0_70,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_2]) ).
fof(c_0_71,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_3 ).
fof(c_0_72,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_4 ).
fof(c_0_73,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_5 ).
fof(c_0_74,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_6 ).
fof(c_0_75,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_7 ).
fof(c_0_76,plain,
! [X12,X13,X3,X4] : lhs_atom35(X12,X13,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_8]) ).
fof(c_0_77,plain,
! [X12,X13,X3,X4] : lhs_atom34(X12,X13,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_9]) ).
fof(c_0_78,plain,
! [X9,X8,X3,X4] : lhs_atom6(X9,X8,X3,X4),
inference(fof_simplification,[status(thm)],[c_0_10]) ).
fof(c_0_79,axiom,
! [X12,X13] :
( lhs_atom23(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
& p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_11 ).
fof(c_0_80,axiom,
! [X6,X7] :
( lhs_atom9(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
& p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_12 ).
fof(c_0_81,axiom,
! [X6,X7] :
( lhs_atom2(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
<=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_13 ).
fof(c_0_82,plain,
! [X6,X7,X4] :
( lhs_atom17(X6,X7,X4)
| s(X4,X7) != s(X4,X6) ),
inference(fof_simplification,[status(thm)],[c_0_14]) ).
fof(c_0_83,axiom,
! [X12,X13] :
( lhs_atom28(X12,X13)
| ( p(s(tyop_2Emin_2Ebool,X13))
=> p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_15 ).
fof(c_0_84,axiom,
! [X6,X7] :
( lhs_atom14(X6,X7)
| ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_16 ).
fof(c_0_85,axiom,
! [X6,X7,X4] :
( lhs_atom16(X6,X7,X4)
| s(X4,X7) = s(X4,X6) ),
c_0_17 ).
fof(c_0_86,axiom,
! [X14] :
( lhs_atom37(X14)
| ( p(s(tyop_2Emin_2Ebool,X14))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
c_0_18 ).
fof(c_0_87,axiom,
! [X14] :
( lhs_atom36(X14)
| ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,X14)) ) ),
c_0_19 ).
fof(c_0_88,axiom,
! [X12,X13] :
( lhs_atom24(X12,X13)
| p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X12)) ),
c_0_20 ).
fof(c_0_89,axiom,
! [X6,X7] :
( lhs_atom10(X6,X7)
| p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6)) ),
c_0_21 ).
fof(c_0_90,axiom,
! [X14] :
( lhs_atom38
| ( p(s(tyop_2Emin_2Ebool,X14))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
c_0_22 ).
fof(c_0_91,axiom,
! [X14] :
( lhs_atom38
| ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,X14)) ) ),
c_0_23 ).
fof(c_0_92,axiom,
! [X12,X13] :
( lhs_atom29(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
=> p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_24 ).
fof(c_0_93,axiom,
! [X12,X13] :
( lhs_atom25(X12,X13)
| ~ ( p(s(tyop_2Emin_2Ebool,X13))
| p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_25 ).
fof(c_0_94,axiom,
! [X6,X7] :
( lhs_atom15(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_26 ).
fof(c_0_95,axiom,
! [X6,X7] :
( lhs_atom11(X6,X7)
| ~ ( p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_27 ).
fof(c_0_96,plain,
! [X15] :
( lhs_atom50(X15)
| ( ~ p(s(tyop_2Emin_2Ebool,X15))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(fof_simplification,[status(thm)],[c_0_28]) ).
fof(c_0_97,plain,
! [X8,X4] :
( lhs_atom41(X8,X4)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(fof_simplification,[status(thm)],[c_0_29]) ).
fof(c_0_98,plain,
! [X14] :
( lhs_atom37(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
inference(fof_simplification,[status(thm)],[c_0_30]) ).
fof(c_0_99,plain,
! [X14] :
( lhs_atom49(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
inference(fof_simplification,[status(thm)],[c_0_31]) ).
fof(c_0_100,plain,
! [X14] :
( lhs_atom47(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
inference(fof_simplification,[status(thm)],[c_0_32]) ).
fof(c_0_101,plain,
! [X14] :
( lhs_atom44(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
inference(fof_simplification,[status(thm)],[c_0_33]) ).
fof(c_0_102,plain,
! [X14] :
( lhs_atom42(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
inference(fof_simplification,[status(thm)],[c_0_34]) ).
fof(c_0_103,plain,
! [X14] :
( lhs_atom37(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
inference(fof_simplification,[status(thm)],[c_0_35]) ).
fof(c_0_104,axiom,
! [X14] :
( lhs_atom37(X14)
| ~ ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
=> p(s(tyop_2Emin_2Ebool,X14)) ) ),
c_0_36 ).
fof(c_0_105,axiom,
! [X14] :
( lhs_atom37(X14)
| ~ ! [X11] : p(s(tyop_2Emin_2Ebool,X14)) ),
c_0_37 ).
fof(c_0_106,plain,
! [X13] :
( lhs_atom26(X13)
| ~ p(s(tyop_2Emin_2Ebool,X13)) ),
inference(fof_simplification,[status(thm)],[c_0_38]) ).
fof(c_0_107,plain,
! [X7] :
( lhs_atom12(X7)
| ~ p(s(tyop_2Emin_2Ebool,X7)) ),
inference(fof_simplification,[status(thm)],[c_0_39]) ).
fof(c_0_108,axiom,
! [X14] :
( lhs_atom3
| ~ ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
=> p(s(tyop_2Emin_2Ebool,X14)) ) ),
c_0_40 ).
fof(c_0_109,axiom,
! [X14] :
( lhs_atom36(X14)
| ~ ( p(s(tyop_2Emin_2Ebool,X14))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
c_0_41 ).
fof(c_0_110,axiom,
! [X12,X13] :
( lhs_atom22(X12,X13)
| ( p(s(tyop_2Emin_2Ebool,X13))
& p(s(tyop_2Emin_2Ebool,X12)) ) ),
c_0_42 ).
fof(c_0_111,axiom,
! [X6,X7] :
( lhs_atom8(X6,X7)
| ( p(s(tyop_2Emin_2Ebool,X7))
& p(s(tyop_2Emin_2Ebool,X6)) ) ),
c_0_43 ).
fof(c_0_112,plain,
( lhs_atom4
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(fof_simplification,[status(thm)],[c_0_44]) ).
fof(c_0_113,plain,
( lhs_atom38
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(fof_simplification,[status(thm)],[c_0_45]) ).
fof(c_0_114,axiom,
! [X14] :
( lhs_atom3
| ~ ( p(s(tyop_2Emin_2Ebool,X14))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ) ),
c_0_46 ).
fof(c_0_115,axiom,
! [X8,X4] :
( lhs_atom40(X8,X4)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
c_0_47 ).
fof(c_0_116,plain,
! [X14] :
( lhs_atom36(X14)
| p(s(tyop_2Emin_2Ebool,X14)) ),
inference(fof_simplification,[status(thm)],[c_0_48]) ).
fof(c_0_117,axiom,
! [X14] :
( lhs_atom48(X14)
| p(s(tyop_2Emin_2Ebool,X14)) ),
c_0_49 ).
fof(c_0_118,axiom,
! [X14] :
( lhs_atom46(X14)
| p(s(tyop_2Emin_2Ebool,X14)) ),
c_0_50 ).
fof(c_0_119,axiom,
! [X14] :
( lhs_atom45(X14)
| p(s(tyop_2Emin_2Ebool,X14)) ),
c_0_51 ).
fof(c_0_120,axiom,
! [X14] :
( lhs_atom43(X14)
| p(s(tyop_2Emin_2Ebool,X14)) ),
c_0_52 ).
fof(c_0_121,plain,
! [X14] :
( lhs_atom36(X14)
| p(s(tyop_2Emin_2Ebool,X14)) ),
inference(fof_simplification,[status(thm)],[c_0_53]) ).
fof(c_0_122,axiom,
! [X14] :
( lhs_atom36(X14)
| ! [X11] : p(s(tyop_2Emin_2Ebool,X14)) ),
c_0_54 ).
fof(c_0_123,axiom,
! [X13] :
( lhs_atom27(X13)
| p(s(tyop_2Emin_2Ebool,X13)) ),
c_0_55 ).
fof(c_0_124,axiom,
! [X7] :
( lhs_atom13(X7)
| p(s(tyop_2Emin_2Ebool,X7)) ),
c_0_56 ).
fof(c_0_125,axiom,
! [X14] :
( lhs_atom4
| p(s(tyop_2Emin_2Ebool,X14)) ),
c_0_57 ).
fof(c_0_126,axiom,
( lhs_atom39
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
c_0_58 ).
fof(c_0_127,axiom,
( lhs_atom3
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_59 ).
fof(c_0_128,plain,
! [X13,X4] : lhs_atom33(X13,X4),
inference(fof_simplification,[status(thm)],[c_0_60]) ).
fof(c_0_129,plain,
! [X13,X4] : lhs_atom32(X13,X4),
inference(fof_simplification,[status(thm)],[c_0_61]) ).
fof(c_0_130,plain,
! [X8,X4] : lhs_atom5(X8,X4),
inference(fof_simplification,[status(thm)],[c_0_62]) ).
fof(c_0_131,plain,
! [X14] : lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_63]) ).
fof(c_0_132,plain,
! [X14] : $true,
inference(fof_simplification,[status(thm)],[c_0_64]) ).
fof(c_0_133,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_65]) ).
fof(c_0_134,plain,
lhs_atom4,
inference(fof_simplification,[status(thm)],[c_0_66]) ).
fof(c_0_135,plain,
lhs_atom3,
inference(fof_simplification,[status(thm)],[c_0_67]) ).
fof(c_0_136,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_68])])]) ).
fof(c_0_137,plain,
! [X11,X12,X13,X14,X15,X16] : lhs_atom7(X11,X12,X13,X14,X15,X16),
inference(variable_rename,[status(thm)],[c_0_69]) ).
fof(c_0_138,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_70]) ).
fof(c_0_139,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_71]) ).
fof(c_0_140,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_72])])]) ).
fof(c_0_141,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_73])])]) ).
fof(c_0_142,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_74])]) ).
fof(c_0_143,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_75])]) ).
fof(c_0_144,plain,
! [X14,X15,X16,X17] : lhs_atom35(X14,X15,X16,X17),
inference(variable_rename,[status(thm)],[c_0_76]) ).
fof(c_0_145,plain,
! [X14,X15,X16,X17] : lhs_atom34(X14,X15,X16,X17),
inference(variable_rename,[status(thm)],[c_0_77]) ).
fof(c_0_146,plain,
! [X10,X11,X12,X13] : lhs_atom6(X10,X11,X12,X13),
inference(variable_rename,[status(thm)],[c_0_78]) ).
fof(c_0_147,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_79])]) ).
fof(c_0_148,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_80])]) ).
fof(c_0_149,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_81])])]) ).
fof(c_0_150,plain,
! [X8,X9,X10] :
( lhs_atom17(X8,X9,X10)
| s(X10,X9) != s(X10,X8) ),
inference(variable_rename,[status(thm)],[c_0_82]) ).
fof(c_0_151,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_83])]) ).
fof(c_0_152,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_84])]) ).
fof(c_0_153,plain,
! [X8,X9,X10] :
( lhs_atom16(X8,X9,X10)
| s(X10,X9) = s(X10,X8) ),
inference(variable_rename,[status(thm)],[c_0_85]) ).
fof(c_0_154,plain,
! [X15] :
( lhs_atom37(X15)
| ~ p(s(tyop_2Emin_2Ebool,X15))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_86])]) ).
fof(c_0_155,plain,
! [X15] :
( lhs_atom36(X15)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,X15)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_87])]) ).
fof(c_0_156,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_88]) ).
fof(c_0_157,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_89]) ).
fof(c_0_158,plain,
! [X15] :
( lhs_atom38
| ~ p(s(tyop_2Emin_2Ebool,X15))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_90])])])]) ).
fof(c_0_159,plain,
! [X15] :
( lhs_atom38
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X15)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_91])])])]) ).
fof(c_0_160,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_92])])]) ).
fof(c_0_161,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_93])])]) ).
fof(c_0_162,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_94])])]) ).
fof(c_0_163,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_95])])]) ).
fof(c_0_164,plain,
! [X16] :
( lhs_atom50(X16)
| p(s(tyop_2Emin_2Ebool,X16))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_96])]) ).
fof(c_0_165,plain,
! [X9,X10] :
( lhs_atom41(X9,X10)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_97])])]) ).
fof(c_0_166,plain,
! [X15] :
( lhs_atom37(X15)
| ~ p(s(tyop_2Emin_2Ebool,X15)) ),
inference(variable_rename,[status(thm)],[c_0_98]) ).
fof(c_0_167,plain,
! [X15] :
( lhs_atom49(X15)
| ~ p(s(tyop_2Emin_2Ebool,X15)) ),
inference(variable_rename,[status(thm)],[c_0_99]) ).
fof(c_0_168,plain,
! [X15] :
( lhs_atom47(X15)
| ~ p(s(tyop_2Emin_2Ebool,X15)) ),
inference(variable_rename,[status(thm)],[c_0_100]) ).
fof(c_0_169,plain,
! [X15] :
( lhs_atom44(X15)
| ~ p(s(tyop_2Emin_2Ebool,X15)) ),
inference(variable_rename,[status(thm)],[c_0_101]) ).
fof(c_0_170,plain,
! [X15] :
( lhs_atom42(X15)
| ~ p(s(tyop_2Emin_2Ebool,X15)) ),
inference(variable_rename,[status(thm)],[c_0_102]) ).
fof(c_0_171,plain,
! [X15] :
( lhs_atom37(X15)
| ~ p(s(tyop_2Emin_2Ebool,X15)) ),
inference(variable_rename,[status(thm)],[c_0_103]) ).
fof(c_0_172,plain,
! [X15] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| lhs_atom37(X15) )
& ( ~ p(s(tyop_2Emin_2Ebool,X15))
| lhs_atom37(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_104])])]) ).
fof(c_0_173,plain,
! [X15] :
( lhs_atom37(X15)
| ~ p(s(tyop_2Emin_2Ebool,X15)) ),
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_105])])]) ).
fof(c_0_174,plain,
! [X14] :
( lhs_atom26(X14)
| ~ p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[c_0_106]) ).
fof(c_0_175,plain,
! [X8] :
( lhs_atom12(X8)
| ~ p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[c_0_107]) ).
fof(c_0_176,plain,
! [X15] :
( ( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| lhs_atom3 )
& ( ~ p(s(tyop_2Emin_2Ebool,X15))
| lhs_atom3 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_108])])])])]) ).
fof(c_0_177,plain,
! [X15] :
( ( p(s(tyop_2Emin_2Ebool,X15))
| lhs_atom36(X15) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| lhs_atom36(X15) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_109])])]) ).
fof(c_0_178,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_110])]) ).
fof(c_0_179,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_111])]) ).
fof(c_0_180,plain,
( lhs_atom4
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
c_0_112 ).
fof(c_0_181,plain,
( lhs_atom38
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_113 ).
fof(c_0_182,plain,
! [X15] :
( ( p(s(tyop_2Emin_2Ebool,X15))
| lhs_atom3 )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| lhs_atom3 ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_114])])])])]) ).
fof(c_0_183,plain,
! [X9,X10] :
( lhs_atom40(X9,X10)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_115])])]) ).
fof(c_0_184,plain,
! [X15] :
( lhs_atom36(X15)
| p(s(tyop_2Emin_2Ebool,X15)) ),
inference(variable_rename,[status(thm)],[c_0_116]) ).
fof(c_0_185,plain,
! [X15] :
( lhs_atom48(X15)
| p(s(tyop_2Emin_2Ebool,X15)) ),
inference(variable_rename,[status(thm)],[c_0_117]) ).
fof(c_0_186,plain,
! [X15] :
( lhs_atom46(X15)
| p(s(tyop_2Emin_2Ebool,X15)) ),
inference(variable_rename,[status(thm)],[c_0_118]) ).
fof(c_0_187,plain,
! [X15] :
( lhs_atom45(X15)
| p(s(tyop_2Emin_2Ebool,X15)) ),
inference(variable_rename,[status(thm)],[c_0_119]) ).
fof(c_0_188,plain,
! [X15] :
( lhs_atom43(X15)
| p(s(tyop_2Emin_2Ebool,X15)) ),
inference(variable_rename,[status(thm)],[c_0_120]) ).
fof(c_0_189,plain,
! [X15] :
( lhs_atom36(X15)
| p(s(tyop_2Emin_2Ebool,X15)) ),
inference(variable_rename,[status(thm)],[c_0_121]) ).
fof(c_0_190,plain,
! [X15,X16] :
( lhs_atom36(X15)
| p(s(tyop_2Emin_2Ebool,X15)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[c_0_122])]) ).
fof(c_0_191,plain,
! [X14] :
( lhs_atom27(X14)
| p(s(tyop_2Emin_2Ebool,X14)) ),
inference(variable_rename,[status(thm)],[c_0_123]) ).
fof(c_0_192,plain,
! [X8] :
( lhs_atom13(X8)
| p(s(tyop_2Emin_2Ebool,X8)) ),
inference(variable_rename,[status(thm)],[c_0_124]) ).
fof(c_0_193,plain,
! [X15] :
( lhs_atom4
| p(s(tyop_2Emin_2Ebool,X15)) ),
inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[c_0_125])])]) ).
fof(c_0_194,axiom,
( lhs_atom39
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
c_0_126 ).
fof(c_0_195,axiom,
( lhs_atom3
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_127 ).
fof(c_0_196,plain,
! [X14,X15] : lhs_atom33(X14,X15),
inference(variable_rename,[status(thm)],[c_0_128]) ).
fof(c_0_197,plain,
! [X14,X15] : lhs_atom32(X14,X15),
inference(variable_rename,[status(thm)],[c_0_129]) ).
fof(c_0_198,plain,
! [X9,X10] : lhs_atom5(X9,X10),
inference(variable_rename,[status(thm)],[c_0_130]) ).
fof(c_0_199,plain,
! [X15] : lhs_atom3,
inference(variable_rename,[status(thm)],[c_0_131]) ).
fof(c_0_200,plain,
! [X15] : $true,
inference(variable_rename,[status(thm)],[c_0_132]) ).
fof(c_0_201,plain,
lhs_atom3,
c_0_133 ).
fof(c_0_202,plain,
lhs_atom4,
c_0_134 ).
fof(c_0_203,plain,
lhs_atom3,
c_0_135 ).
cnf(c_0_204,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_136]) ).
cnf(c_0_205,plain,
lhs_atom7(X1,X2,X3,X4,X5,X6),
inference(split_conjunct,[status(thm)],[c_0_137]) ).
cnf(c_0_206,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_138]) ).
cnf(c_0_207,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_139]) ).
cnf(c_0_208,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_140]) ).
cnf(c_0_209,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_141]) ).
cnf(c_0_210,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_142]) ).
cnf(c_0_211,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_143]) ).
cnf(c_0_212,plain,
lhs_atom35(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_144]) ).
cnf(c_0_213,plain,
lhs_atom34(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_145]) ).
cnf(c_0_214,plain,
lhs_atom6(X1,X2,X3,X4),
inference(split_conjunct,[status(thm)],[c_0_146]) ).
cnf(c_0_215,plain,
( lhs_atom23(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_147]) ).
cnf(c_0_216,plain,
( lhs_atom9(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_148]) ).
cnf(c_0_217,plain,
( lhs_atom2(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_218,plain,
( lhs_atom17(X3,X2,X1)
| s(X1,X2) != s(X1,X3) ),
inference(split_conjunct,[status(thm)],[c_0_150]) ).
cnf(c_0_219,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom28(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_151]) ).
cnf(c_0_220,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom14(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_152]) ).
cnf(c_0_221,plain,
( s(X1,X2) = s(X1,X3)
| lhs_atom16(X3,X2,X1) ),
inference(split_conjunct,[status(thm)],[c_0_153]) ).
cnf(c_0_222,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| lhs_atom37(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_154]) ).
cnf(c_0_223,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom36(X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_155]) ).
cnf(c_0_224,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom24(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_156]) ).
cnf(c_0_225,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom10(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_157]) ).
cnf(c_0_226,plain,
( lhs_atom2(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_149]) ).
cnf(c_0_227,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| lhs_atom38
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_158]) ).
cnf(c_0_228,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom38
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_159]) ).
cnf(c_0_229,plain,
( lhs_atom29(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_230,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_231,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_161]) ).
cnf(c_0_232,plain,
( lhs_atom15(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_233,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_234,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_163]) ).
cnf(c_0_235,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom50(X1) ),
inference(split_conjunct,[status(thm)],[c_0_164]) ).
cnf(c_0_236,plain,
( lhs_atom41(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_165]) ).
cnf(c_0_237,plain,
( lhs_atom37(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_166]) ).
cnf(c_0_238,plain,
( lhs_atom49(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_167]) ).
cnf(c_0_239,plain,
( lhs_atom47(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_168]) ).
cnf(c_0_240,plain,
( lhs_atom44(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_169]) ).
cnf(c_0_241,plain,
( lhs_atom42(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_170]) ).
cnf(c_0_242,plain,
( lhs_atom37(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_171]) ).
cnf(c_0_243,plain,
( lhs_atom37(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_244,plain,
( lhs_atom37(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_173]) ).
cnf(c_0_245,plain,
( lhs_atom26(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_174]) ).
cnf(c_0_246,plain,
( lhs_atom12(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_175]) ).
cnf(c_0_247,plain,
( lhs_atom3
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_248,plain,
( lhs_atom36(X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_249,plain,
( lhs_atom29(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_160]) ).
cnf(c_0_250,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_251,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_178]) ).
cnf(c_0_252,plain,
( lhs_atom15(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_162]) ).
cnf(c_0_253,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_179]) ).
cnf(c_0_254,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_179]) ).
cnf(c_0_255,plain,
( lhs_atom4
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_180]) ).
cnf(c_0_256,plain,
( lhs_atom38
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_181]) ).
cnf(c_0_257,plain,
( lhs_atom3
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_258,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| lhs_atom40(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_183]) ).
cnf(c_0_259,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom36(X1) ),
inference(split_conjunct,[status(thm)],[c_0_184]) ).
cnf(c_0_260,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom48(X1) ),
inference(split_conjunct,[status(thm)],[c_0_185]) ).
cnf(c_0_261,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom46(X1) ),
inference(split_conjunct,[status(thm)],[c_0_186]) ).
cnf(c_0_262,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom45(X1) ),
inference(split_conjunct,[status(thm)],[c_0_187]) ).
cnf(c_0_263,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom43(X1) ),
inference(split_conjunct,[status(thm)],[c_0_188]) ).
cnf(c_0_264,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom36(X1) ),
inference(split_conjunct,[status(thm)],[c_0_189]) ).
cnf(c_0_265,plain,
( lhs_atom36(X1)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_177]) ).
cnf(c_0_266,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom36(X1) ),
inference(split_conjunct,[status(thm)],[c_0_190]) ).
cnf(c_0_267,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom27(X1) ),
inference(split_conjunct,[status(thm)],[c_0_191]) ).
cnf(c_0_268,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom13(X1) ),
inference(split_conjunct,[status(thm)],[c_0_192]) ).
cnf(c_0_269,plain,
( lhs_atom37(X1)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_172]) ).
cnf(c_0_270,plain,
( lhs_atom3
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_182]) ).
cnf(c_0_271,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom4 ),
inference(split_conjunct,[status(thm)],[c_0_193]) ).
cnf(c_0_272,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| lhs_atom39 ),
inference(split_conjunct,[status(thm)],[c_0_194]) ).
cnf(c_0_273,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| lhs_atom3 ),
inference(split_conjunct,[status(thm)],[c_0_195]) ).
cnf(c_0_274,plain,
( lhs_atom3
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_176]) ).
cnf(c_0_275,plain,
lhs_atom33(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_196]) ).
cnf(c_0_276,plain,
lhs_atom32(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_197]) ).
cnf(c_0_277,plain,
lhs_atom5(X1,X2),
inference(split_conjunct,[status(thm)],[c_0_198]) ).
cnf(c_0_278,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_199]) ).
cnf(c_0_279,plain,
$true,
inference(split_conjunct,[status(thm)],[c_0_200]) ).
cnf(c_0_280,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_201]) ).
cnf(c_0_281,plain,
lhs_atom4,
inference(split_conjunct,[status(thm)],[c_0_202]) ).
cnf(c_0_282,plain,
lhs_atom3,
inference(split_conjunct,[status(thm)],[c_0_203]) ).
cnf(c_0_283,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_204,
[final] ).
cnf(c_0_284,plain,
lhs_atom7(X1,X2,X3,X4,X5,X6),
c_0_205,
[final] ).
cnf(c_0_285,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_206,
[final] ).
cnf(c_0_286,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_207,
[final] ).
cnf(c_0_287,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_208,
[final] ).
cnf(c_0_288,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_209,
[final] ).
cnf(c_0_289,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_210,
[final] ).
cnf(c_0_290,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_211,
[final] ).
cnf(c_0_291,plain,
lhs_atom35(X1,X2,X3,X4),
c_0_212,
[final] ).
cnf(c_0_292,plain,
lhs_atom34(X1,X2,X3,X4),
c_0_213,
[final] ).
cnf(c_0_293,plain,
lhs_atom6(X1,X2,X3,X4),
c_0_214,
[final] ).
cnf(c_0_294,plain,
( lhs_atom23(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_215,
[final] ).
cnf(c_0_295,plain,
( lhs_atom9(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_216,
[final] ).
cnf(c_0_296,plain,
( lhs_atom2(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_217,
[final] ).
cnf(c_0_297,plain,
( lhs_atom17(X3,X2,X1)
| s(X1,X2) != s(X1,X3) ),
c_0_218,
[final] ).
cnf(c_0_298,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom28(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_219,
[final] ).
cnf(c_0_299,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom14(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_220,
[final] ).
cnf(c_0_300,plain,
( s(X1,X2) = s(X1,X3)
| lhs_atom16(X3,X2,X1) ),
c_0_221,
[final] ).
cnf(c_0_301,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| lhs_atom37(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_222,
[final] ).
cnf(c_0_302,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom36(X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
c_0_223,
[final] ).
cnf(c_0_303,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom24(X1,X2) ),
c_0_224,
[final] ).
cnf(c_0_304,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| lhs_atom10(X1,X2) ),
c_0_225,
[final] ).
cnf(c_0_305,plain,
( lhs_atom2(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_226,
[final] ).
cnf(c_0_306,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| lhs_atom38
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_227,
[final] ).
cnf(c_0_307,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom38
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_228,
[final] ).
cnf(c_0_308,plain,
( lhs_atom29(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_229,
[final] ).
cnf(c_0_309,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_230,
[final] ).
cnf(c_0_310,plain,
( lhs_atom25(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_231,
[final] ).
cnf(c_0_311,plain,
( lhs_atom15(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_232,
[final] ).
cnf(c_0_312,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_233,
[final] ).
cnf(c_0_313,plain,
( lhs_atom11(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_234,
[final] ).
cnf(c_0_314,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom50(X1) ),
c_0_235,
[final] ).
cnf(c_0_315,plain,
( lhs_atom41(X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
c_0_236,
[final] ).
cnf(c_0_316,plain,
( lhs_atom37(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_237,
[final] ).
cnf(c_0_317,plain,
( lhs_atom49(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_238,
[final] ).
cnf(c_0_318,plain,
( lhs_atom47(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_239,
[final] ).
cnf(c_0_319,plain,
( lhs_atom44(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_240,
[final] ).
cnf(c_0_320,plain,
( lhs_atom42(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_241,
[final] ).
cnf(c_0_321,plain,
( lhs_atom37(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_242,
[final] ).
cnf(c_0_322,plain,
( lhs_atom37(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_243,
[final] ).
cnf(c_0_323,plain,
( lhs_atom37(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_244,
[final] ).
cnf(c_0_324,plain,
( lhs_atom26(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_245,
[final] ).
cnf(c_0_325,plain,
( lhs_atom12(X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_246,
[final] ).
cnf(c_0_326,plain,
( lhs_atom3
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_247,
[final] ).
cnf(c_0_327,plain,
( lhs_atom36(X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_248,
[final] ).
cnf(c_0_328,plain,
( lhs_atom29(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_249,
[final] ).
cnf(c_0_329,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_250,
[final] ).
cnf(c_0_330,plain,
( lhs_atom22(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_251,
[final] ).
cnf(c_0_331,plain,
( lhs_atom15(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_252,
[final] ).
cnf(c_0_332,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_253,
[final] ).
cnf(c_0_333,plain,
( lhs_atom8(X1,X2)
| p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_254,
[final] ).
cnf(c_0_334,plain,
( lhs_atom4
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
c_0_255,
[final] ).
cnf(c_0_335,plain,
( lhs_atom38
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_256,
[final] ).
cnf(c_0_336,plain,
( lhs_atom3
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
c_0_257,
[final] ).
cnf(c_0_337,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| lhs_atom40(X1,X2) ),
c_0_258,
[final] ).
cnf(c_0_338,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom36(X1) ),
c_0_259,
[final] ).
cnf(c_0_339,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom48(X1) ),
c_0_260,
[final] ).
cnf(c_0_340,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom46(X1) ),
c_0_261,
[final] ).
cnf(c_0_341,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom45(X1) ),
c_0_262,
[final] ).
cnf(c_0_342,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom43(X1) ),
c_0_263,
[final] ).
cnf(c_0_343,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom36(X1) ),
c_0_264,
[final] ).
cnf(c_0_344,plain,
( lhs_atom36(X1)
| p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_265,
[final] ).
cnf(c_0_345,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom36(X1) ),
c_0_266,
[final] ).
cnf(c_0_346,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom27(X1) ),
c_0_267,
[final] ).
cnf(c_0_347,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom13(X1) ),
c_0_268,
[final] ).
cnf(c_0_348,plain,
( lhs_atom37(X1)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
c_0_269,
[final] ).
cnf(c_0_349,plain,
( lhs_atom3
| p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_270,
[final] ).
cnf(c_0_350,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| lhs_atom4 ),
c_0_271,
[final] ).
cnf(c_0_351,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| lhs_atom39 ),
c_0_272,
[final] ).
cnf(c_0_352,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| lhs_atom3 ),
c_0_273,
[final] ).
cnf(c_0_353,plain,
( lhs_atom3
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_274,
[final] ).
cnf(c_0_354,plain,
lhs_atom33(X1,X2),
c_0_275,
[final] ).
cnf(c_0_355,plain,
lhs_atom32(X1,X2),
c_0_276,
[final] ).
cnf(c_0_356,plain,
lhs_atom5(X1,X2),
c_0_277,
[final] ).
cnf(c_0_357,plain,
lhs_atom3,
c_0_278,
[final] ).
cnf(c_0_358,plain,
$true,
c_0_279,
[final] ).
cnf(c_0_359,plain,
lhs_atom3,
c_0_280,
[final] ).
cnf(c_0_360,plain,
lhs_atom4,
c_0_281,
[final] ).
cnf(c_0_361,plain,
lhs_atom3,
c_0_282,
[final] ).
% End CNF derivation
cnf(c_0_283_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_283,def_lhs_atom1]) ).
cnf(c_0_285_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_285,def_lhs_atom31]) ).
cnf(c_0_286_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_286,def_lhs_atom30]) ).
cnf(c_0_287_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_287,def_lhs_atom19]) ).
cnf(c_0_288_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_288,def_lhs_atom21]) ).
cnf(c_0_289_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_289,def_lhs_atom20]) ).
cnf(c_0_290_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_290,def_lhs_atom18]) ).
cnf(c_0_294_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_294,def_lhs_atom23]) ).
cnf(c_0_295_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_295,def_lhs_atom9]) ).
cnf(c_0_296_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_296,def_lhs_atom2]) ).
cnf(c_0_297_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_297,def_lhs_atom17]) ).
cnf(c_0_298_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_298,def_lhs_atom28]) ).
cnf(c_0_299_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_299,def_lhs_atom14]) ).
cnf(c_0_300_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_300,def_lhs_atom16]) ).
cnf(c_0_301_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_301,def_lhs_atom37]) ).
cnf(c_0_302_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(unfold_definition,[status(thm)],[c_0_302,def_lhs_atom36]) ).
cnf(c_0_303_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_303,def_lhs_atom24]) ).
cnf(c_0_304_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_304,def_lhs_atom10]) ).
cnf(c_0_305_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_305,def_lhs_atom2]) ).
cnf(c_0_306_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_306,def_lhs_atom38]) ).
cnf(c_0_307_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(unfold_definition,[status(thm)],[c_0_307,def_lhs_atom38]) ).
cnf(c_0_308_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_308,def_lhs_atom29]) ).
cnf(c_0_309_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_309,def_lhs_atom25]) ).
cnf(c_0_310_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_310,def_lhs_atom25]) ).
cnf(c_0_311_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_311,def_lhs_atom15]) ).
cnf(c_0_312_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_312,def_lhs_atom11]) ).
cnf(c_0_313_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_313,def_lhs_atom11]) ).
cnf(c_0_314_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_314,def_lhs_atom50]) ).
cnf(c_0_315_0,axiom,
( s(X2,X1) = s(X2,X1)
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(unfold_definition,[status(thm)],[c_0_315,def_lhs_atom41]) ).
cnf(c_0_316_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_316,def_lhs_atom37]) ).
cnf(c_0_317_0,axiom,
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) = s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_317,def_lhs_atom49]) ).
cnf(c_0_318_0,axiom,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_318,def_lhs_atom47]) ).
cnf(c_0_319_0,axiom,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) != s(tyop_2Emin_2Ebool,X1)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_319,def_lhs_atom44]) ).
cnf(c_0_320_0,axiom,
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_320,def_lhs_atom42]) ).
cnf(c_0_321_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_321,def_lhs_atom37]) ).
cnf(c_0_322_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_322,def_lhs_atom37]) ).
cnf(c_0_323_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_323,def_lhs_atom37]) ).
cnf(c_0_324_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_324,def_lhs_atom26]) ).
cnf(c_0_325_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_325,def_lhs_atom12]) ).
cnf(c_0_326_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_326,def_lhs_atom3]) ).
cnf(c_0_327_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(unfold_definition,[status(thm)],[c_0_327,def_lhs_atom36]) ).
cnf(c_0_328_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_328,def_lhs_atom29]) ).
cnf(c_0_329_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_329,def_lhs_atom22]) ).
cnf(c_0_330_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_330,def_lhs_atom22]) ).
cnf(c_0_331_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_331,def_lhs_atom15]) ).
cnf(c_0_332_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_332,def_lhs_atom8]) ).
cnf(c_0_333_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_333,def_lhs_atom8]) ).
cnf(c_0_334_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(unfold_definition,[status(thm)],[c_0_334,def_lhs_atom4]) ).
cnf(c_0_335_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(unfold_definition,[status(thm)],[c_0_335,def_lhs_atom38]) ).
cnf(c_0_336_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(unfold_definition,[status(thm)],[c_0_336,def_lhs_atom3]) ).
cnf(c_0_337_0,axiom,
( s(X2,X1) != s(X2,X1)
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(unfold_definition,[status(thm)],[c_0_337,def_lhs_atom40]) ).
cnf(c_0_338_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_338,def_lhs_atom36]) ).
cnf(c_0_339_0,axiom,
( s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0) != s(tyop_2Emin_2Ebool,X1)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_339,def_lhs_atom48]) ).
cnf(c_0_340_0,axiom,
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_340,def_lhs_atom46]) ).
cnf(c_0_341_0,axiom,
( s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0) = s(tyop_2Emin_2Ebool,X1)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_341,def_lhs_atom45]) ).
cnf(c_0_342_0,axiom,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_342,def_lhs_atom43]) ).
cnf(c_0_343_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_343,def_lhs_atom36]) ).
cnf(c_0_344_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_344,def_lhs_atom36]) ).
cnf(c_0_345_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_345,def_lhs_atom36]) ).
cnf(c_0_346_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_346,def_lhs_atom27]) ).
cnf(c_0_347_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_347,def_lhs_atom13]) ).
cnf(c_0_348_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(unfold_definition,[status(thm)],[c_0_348,def_lhs_atom37]) ).
cnf(c_0_349_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_349,def_lhs_atom3]) ).
cnf(c_0_350_0,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(unfold_definition,[status(thm)],[c_0_350,def_lhs_atom4]) ).
cnf(c_0_351_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)) ),
inference(unfold_definition,[status(thm)],[c_0_351,def_lhs_atom39]) ).
cnf(c_0_352_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(unfold_definition,[status(thm)],[c_0_352,def_lhs_atom3]) ).
cnf(c_0_353_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(unfold_definition,[status(thm)],[c_0_353,def_lhs_atom3]) ).
cnf(c_0_284_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_284,def_lhs_atom7]) ).
cnf(c_0_291_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X1))) = s(tyop_2Emin_2Ebool,app_2E2(s(tyop_2Emin_2Efun(tyop_2Emin_2Efun(X4,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(X4,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X1))),
inference(unfold_definition,[status(thm)],[c_0_291,def_lhs_atom35]) ).
cnf(c_0_292_0,axiom,
s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X4,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(X4,tyop_2Emin_2Ebool),tyop_2Emin_2Efun(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),tyop_2Emin_2Ebool)),c_2Ecardinal_2Ecardleq_2E0),s(tyop_2Emin_2Efun(X4,tyop_2Emin_2Ebool),X2))),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X1))),
inference(unfold_definition,[status(thm)],[c_0_292,def_lhs_atom34]) ).
cnf(c_0_293_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_293,def_lhs_atom6]) ).
cnf(c_0_354_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_354,def_lhs_atom33]) ).
cnf(c_0_355_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_355,def_lhs_atom32]) ).
cnf(c_0_356_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_356,def_lhs_atom5]) ).
cnf(c_0_357_0,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(unfold_definition,[status(thm)],[c_0_357,def_lhs_atom3]) ).
cnf(c_0_358_0,axiom,
$true,
inference(unfold_definition,[status(thm)],[c_0_358,def_true]) ).
cnf(c_0_359_0,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(unfold_definition,[status(thm)],[c_0_359,def_lhs_atom3]) ).
cnf(c_0_360_0,axiom,
~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)),
inference(unfold_definition,[status(thm)],[c_0_360,def_lhs_atom4]) ).
cnf(c_0_361_0,axiom,
p(s(tyop_2Emin_2Ebool,c_2Ebool_2ET_2E0)),
inference(unfold_definition,[status(thm)],[c_0_361,def_lhs_atom3]) ).
% Orienting (remaining) axiom formulas using strategy ClausalAll
% CNF of (remaining) axioms:
% Start CNF derivation
fof(c_0_0_001,axiom,
! [X9,X10,X11,X12] :
( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X9,tyop_2Emin_2Ebool),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X12))))
| p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X12),s(tyop_2Emin_2Efun(X9,tyop_2Emin_2Ebool),X11)))) ),
file('<stdin>',thm_2Ecardinal_2ECARD__LE__TOTAL) ).
fof(c_0_1_002,axiom,
! [X3,X4,X5] :
( ( p(s(tyop_2Emin_2Ebool,X5))
<=> s(tyop_2Emin_2Ebool,X4) = s(tyop_2Emin_2Ebool,X3) )
<=> ( ( p(s(tyop_2Emin_2Ebool,X5))
| p(s(tyop_2Emin_2Ebool,X4))
| p(s(tyop_2Emin_2Ebool,X3)) )
& ( p(s(tyop_2Emin_2Ebool,X5))
| ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X4)) )
& ( p(s(tyop_2Emin_2Ebool,X4))
| ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X5)) )
& ( p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X4))
| ~ p(s(tyop_2Emin_2Ebool,X5)) ) ) ),
file('<stdin>',thm_2Esat_2Edc__eq) ).
fof(c_0_2_003,axiom,
! [X1,X2] :
( ( p(s(tyop_2Emin_2Ebool,X2))
<=> ~ p(s(tyop_2Emin_2Ebool,X1)) )
<=> ( ( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ) ) ),
file('<stdin>',thm_2Esat_2Edc__neg) ).
fof(c_0_3_004,axiom,
! [X7,X8] :
( ( ~ ( p(s(tyop_2Emin_2Ebool,X8))
| p(s(tyop_2Emin_2Ebool,X7)) )
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
<=> ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
=> ( ~ p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ) ),
file('<stdin>',thm_2Esat_2EOR__DUAL2) ).
fof(c_0_4_005,axiom,
! [X7,X8] :
( ( ~ ( ~ p(s(tyop_2Emin_2Ebool,X8))
| p(s(tyop_2Emin_2Ebool,X7)) )
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
<=> ( p(s(tyop_2Emin_2Ebool,X8))
=> ( ~ p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ) ),
file('<stdin>',thm_2Esat_2EOR__DUAL3) ).
fof(c_0_5_006,axiom,
! [X6] :
( ( ~ p(s(tyop_2Emin_2Ebool,X6))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
=> ( ( p(s(tyop_2Emin_2Ebool,X6))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
file('<stdin>',thm_2Esat_2EAND__INV2) ).
fof(c_0_6_007,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_008,plain,
! [X3,X4,X5] :
( epred1_3(X5,X4,X3)
<=> ( ( p(s(tyop_2Emin_2Ebool,X5))
| ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X4)) )
& ( p(s(tyop_2Emin_2Ebool,X4))
| ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X5)) )
& ( p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X4))
| ~ p(s(tyop_2Emin_2Ebool,X5)) ) ) ),
introduced(definition) ).
fof(c_0_8_009,axiom,
! [X9,X10,X11,X12] :
( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X9,tyop_2Emin_2Ebool),X11),s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X12))))
| p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X10,tyop_2Emin_2Ebool),X12),s(tyop_2Emin_2Efun(X9,tyop_2Emin_2Ebool),X11)))) ),
c_0_0 ).
fof(c_0_9_010,plain,
! [X3,X4,X5] :
( epred1_3(X5,X4,X3)
<=> ( ( p(s(tyop_2Emin_2Ebool,X5))
| ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X4)) )
& ( p(s(tyop_2Emin_2Ebool,X4))
| ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X5)) )
& ( p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X4))
| ~ p(s(tyop_2Emin_2Ebool,X5)) ) ) ),
c_0_7 ).
fof(c_0_10_011,plain,
! [X3,X4,X5] :
( ( p(s(tyop_2Emin_2Ebool,X5))
<=> s(tyop_2Emin_2Ebool,X4) = s(tyop_2Emin_2Ebool,X3) )
<=> ( ( p(s(tyop_2Emin_2Ebool,X5))
| p(s(tyop_2Emin_2Ebool,X4))
| p(s(tyop_2Emin_2Ebool,X3)) )
& epred1_3(X5,X4,X3) ) ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_1]),c_0_7,theory(equality,[symmetry])]) ).
fof(c_0_11_012,plain,
! [X1,X2] :
( ( p(s(tyop_2Emin_2Ebool,X2))
<=> ~ p(s(tyop_2Emin_2Ebool,X1)) )
<=> ( ( 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(fof_simplification,[status(thm)],[c_0_2]) ).
fof(c_0_12_013,plain,
! [X7,X8] :
( ( ~ ( p(s(tyop_2Emin_2Ebool,X8))
| p(s(tyop_2Emin_2Ebool,X7)) )
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
<=> ( ( p(s(tyop_2Emin_2Ebool,X8))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
=> ( ~ p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_3]) ).
fof(c_0_13_014,plain,
! [X7,X8] :
( ( ~ ( ~ p(s(tyop_2Emin_2Ebool,X8))
| p(s(tyop_2Emin_2Ebool,X7)) )
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
<=> ( p(s(tyop_2Emin_2Ebool,X8))
=> ( ~ p(s(tyop_2Emin_2Ebool,X7))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ) ),
inference(fof_simplification,[status(thm)],[c_0_4]) ).
fof(c_0_14_015,plain,
! [X6] :
( ( ~ p(s(tyop_2Emin_2Ebool,X6))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
=> ( ( p(s(tyop_2Emin_2Ebool,X6))
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
=> p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(fof_simplification,[status(thm)],[c_0_5]) ).
fof(c_0_15_016,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_017,plain,
! [X13,X14,X15,X16] :
( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X15),s(tyop_2Emin_2Efun(X14,tyop_2Emin_2Ebool),X16))))
| p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X14,tyop_2Emin_2Ebool),X16),s(tyop_2Emin_2Efun(X13,tyop_2Emin_2Ebool),X15)))) ),
inference(variable_rename,[status(thm)],[c_0_8]) ).
fof(c_0_17_018,plain,
! [X6,X7,X8,X9,X10,X11] :
( ( p(s(tyop_2Emin_2Ebool,X8))
| ~ p(s(tyop_2Emin_2Ebool,X6))
| ~ p(s(tyop_2Emin_2Ebool,X7))
| ~ epred1_3(X8,X7,X6) )
& ( p(s(tyop_2Emin_2Ebool,X7))
| ~ p(s(tyop_2Emin_2Ebool,X6))
| ~ p(s(tyop_2Emin_2Ebool,X8))
| ~ epred1_3(X8,X7,X6) )
& ( p(s(tyop_2Emin_2Ebool,X6))
| ~ p(s(tyop_2Emin_2Ebool,X7))
| ~ p(s(tyop_2Emin_2Ebool,X8))
| ~ epred1_3(X8,X7,X6) )
& ( ~ p(s(tyop_2Emin_2Ebool,X9))
| ~ p(s(tyop_2Emin_2Ebool,X10))
| ~ p(s(tyop_2Emin_2Ebool,X11))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X10))
| ~ p(s(tyop_2Emin_2Ebool,X10))
| ~ p(s(tyop_2Emin_2Ebool,X11))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X11))
| ~ p(s(tyop_2Emin_2Ebool,X10))
| ~ p(s(tyop_2Emin_2Ebool,X11))
| epred1_3(X11,X10,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X9))
| ~ p(s(tyop_2Emin_2Ebool,X11))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X9))
| ~ p(s(tyop_2Emin_2Ebool,X11))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,X9))
| ~ p(s(tyop_2Emin_2Ebool,X11))
| epred1_3(X11,X10,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X11))
| ~ p(s(tyop_2Emin_2Ebool,X11))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X11))
| ~ p(s(tyop_2Emin_2Ebool,X11))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,X11))
| ~ p(s(tyop_2Emin_2Ebool,X11))
| epred1_3(X11,X10,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X9))
| ~ p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X9))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X10))
| ~ p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X9))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X11))
| ~ p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X9))
| epred1_3(X11,X10,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X9))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X9))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X9))
| epred1_3(X11,X10,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,X9))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,X9))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,X9))
| epred1_3(X11,X10,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X9))
| ~ p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X10))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X10))
| ~ p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X10))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X11))
| ~ p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X10))
| epred1_3(X11,X10,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X10))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X10))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X10))
| epred1_3(X11,X10,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,X10))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,X10))
| epred1_3(X11,X10,X9) )
& ( p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,X10))
| epred1_3(X11,X10,X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_9])])])])]) ).
fof(c_0_18_019,plain,
! [X6,X7,X8,X9,X10,X11] :
( ( p(s(tyop_2Emin_2Ebool,X8))
| p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6))
| ~ p(s(tyop_2Emin_2Ebool,X8))
| s(tyop_2Emin_2Ebool,X7) != s(tyop_2Emin_2Ebool,X6) )
& ( epred1_3(X8,X7,X6)
| ~ p(s(tyop_2Emin_2Ebool,X8))
| s(tyop_2Emin_2Ebool,X7) != s(tyop_2Emin_2Ebool,X6) )
& ( p(s(tyop_2Emin_2Ebool,X8))
| p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,X6))
| p(s(tyop_2Emin_2Ebool,X8))
| s(tyop_2Emin_2Ebool,X7) = s(tyop_2Emin_2Ebool,X6) )
& ( epred1_3(X8,X7,X6)
| p(s(tyop_2Emin_2Ebool,X8))
| s(tyop_2Emin_2Ebool,X7) = s(tyop_2Emin_2Ebool,X6) )
& ( ~ p(s(tyop_2Emin_2Ebool,X11))
| s(tyop_2Emin_2Ebool,X10) = s(tyop_2Emin_2Ebool,X9)
| ~ p(s(tyop_2Emin_2Ebool,X11))
| ~ epred1_3(X11,X10,X9) )
& ( s(tyop_2Emin_2Ebool,X10) != s(tyop_2Emin_2Ebool,X9)
| p(s(tyop_2Emin_2Ebool,X11))
| ~ p(s(tyop_2Emin_2Ebool,X11))
| ~ epred1_3(X11,X10,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X11))
| s(tyop_2Emin_2Ebool,X10) = s(tyop_2Emin_2Ebool,X9)
| ~ p(s(tyop_2Emin_2Ebool,X10))
| ~ epred1_3(X11,X10,X9) )
& ( s(tyop_2Emin_2Ebool,X10) != s(tyop_2Emin_2Ebool,X9)
| p(s(tyop_2Emin_2Ebool,X11))
| ~ p(s(tyop_2Emin_2Ebool,X10))
| ~ epred1_3(X11,X10,X9) )
& ( ~ p(s(tyop_2Emin_2Ebool,X11))
| s(tyop_2Emin_2Ebool,X10) = s(tyop_2Emin_2Ebool,X9)
| ~ p(s(tyop_2Emin_2Ebool,X9))
| ~ epred1_3(X11,X10,X9) )
& ( s(tyop_2Emin_2Ebool,X10) != s(tyop_2Emin_2Ebool,X9)
| p(s(tyop_2Emin_2Ebool,X11))
| ~ p(s(tyop_2Emin_2Ebool,X9))
| ~ epred1_3(X11,X10,X9) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_10])])])])]) ).
fof(c_0_19_020,plain,
! [X3,X4,X5,X6] :
( ( p(s(tyop_2Emin_2Ebool,X4))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X4))
| p(s(tyop_2Emin_2Ebool,X3)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X4))
| ~ p(s(tyop_2Emin_2Ebool,X4))
| p(s(tyop_2Emin_2Ebool,X3)) )
& ( p(s(tyop_2Emin_2Ebool,X4))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X4))
| ~ p(s(tyop_2Emin_2Ebool,X3)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X4))
| p(s(tyop_2Emin_2Ebool,X4))
| ~ p(s(tyop_2Emin_2Ebool,X3)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X6))
| ~ p(s(tyop_2Emin_2Ebool,X5))
| p(s(tyop_2Emin_2Ebool,X5))
| ~ p(s(tyop_2Emin_2Ebool,X6)) )
& ( p(s(tyop_2Emin_2Ebool,X5))
| p(s(tyop_2Emin_2Ebool,X6))
| p(s(tyop_2Emin_2Ebool,X5))
| ~ p(s(tyop_2Emin_2Ebool,X6)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X6))
| ~ p(s(tyop_2Emin_2Ebool,X5))
| p(s(tyop_2Emin_2Ebool,X6))
| ~ p(s(tyop_2Emin_2Ebool,X6)) )
& ( p(s(tyop_2Emin_2Ebool,X5))
| p(s(tyop_2Emin_2Ebool,X6))
| p(s(tyop_2Emin_2Ebool,X6))
| ~ p(s(tyop_2Emin_2Ebool,X6)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X6))
| ~ p(s(tyop_2Emin_2Ebool,X5))
| p(s(tyop_2Emin_2Ebool,X5))
| ~ p(s(tyop_2Emin_2Ebool,X5)) )
& ( p(s(tyop_2Emin_2Ebool,X5))
| p(s(tyop_2Emin_2Ebool,X6))
| p(s(tyop_2Emin_2Ebool,X5))
| ~ p(s(tyop_2Emin_2Ebool,X5)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X6))
| ~ p(s(tyop_2Emin_2Ebool,X5))
| p(s(tyop_2Emin_2Ebool,X6))
| ~ p(s(tyop_2Emin_2Ebool,X5)) )
& ( p(s(tyop_2Emin_2Ebool,X5))
| p(s(tyop_2Emin_2Ebool,X6))
| p(s(tyop_2Emin_2Ebool,X6))
| ~ p(s(tyop_2Emin_2Ebool,X5)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_11])])])])]) ).
fof(c_0_20_021,plain,
! [X9,X10,X11,X12] :
( ( p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X10)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X10)) )
& ( p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X9)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X9)) )
& ( p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X12))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X12))
| p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,X12))
| p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X12))
| p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_12])])])])]) ).
fof(c_0_21_022,plain,
! [X9,X10,X11,X12] :
( ( p(s(tyop_2Emin_2Ebool,X10))
| ~ p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X9))
| ~ p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X10))
| p(s(tyop_2Emin_2Ebool,X9))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( p(s(tyop_2Emin_2Ebool,X12))
| ~ p(s(tyop_2Emin_2Ebool,X12))
| p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,X11))
| ~ p(s(tyop_2Emin_2Ebool,X12))
| p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X12))
| p(s(tyop_2Emin_2Ebool,X11))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(distribute,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_13])])])])]) ).
fof(c_0_22_023,plain,
! [X7] :
( ( p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X7)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X7)) )
& ( p(s(tyop_2Emin_2Ebool,X7))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) )
& ( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ) ),
inference(distribute,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_14])])]) ).
fof(c_0_23_024,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]) ).
cnf(c_0_24_025,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X4))))
| p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))) ),
inference(split_conjunct,[status(thm)],[c_0_16]) ).
cnf(c_0_25_026,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_26_027,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_27_028,plain,
( p(s(tyop_2Emin_2Ebool,X3))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_28_029,plain,
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3)
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_29_030,plain,
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3)
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_30_031,plain,
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3)
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_31_032,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_32_033,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_33_034,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_34_035,plain,
( epred1_3(X1,X2,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_17]) ).
cnf(c_0_35_036,plain,
( epred1_3(X1,X2,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_17]) ).
cnf(c_0_36_037,plain,
( epred1_3(X1,X2,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_17]) ).
cnf(c_0_37_038,plain,
( epred1_3(X1,X2,X3)
| 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_17]) ).
cnf(c_0_38_039,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_39_040,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_40_041,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_41_042,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_42_043,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ 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_19]) ).
cnf(c_0_43_044,plain,
( 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(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_44_045,plain,
( 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(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_45_046,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ 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_19]) ).
cnf(c_0_46_047,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ 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_19]) ).
cnf(c_0_47_048,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_19]) ).
cnf(c_0_48_049,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_49_050,plain,
( epred1_3(X1,X2,X3)
| 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_17]) ).
cnf(c_0_50_051,plain,
( epred1_3(X1,X2,X3)
| 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_17]) ).
cnf(c_0_51_052,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_52_053,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_53_054,plain,
( epred1_3(X1,X2,X3)
| 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_17]) ).
cnf(c_0_54_055,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_55_056,plain,
( epred1_3(X1,X2,X3)
| 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_17]) ).
cnf(c_0_56_057,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_57_058,plain,
( epred1_3(X1,X2,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_17]) ).
cnf(c_0_58_059,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_59_060,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_60_061,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_61_062,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| 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_21]) ).
cnf(c_0_62_063,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| 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_21]) ).
cnf(c_0_63_064,plain,
( epred1_3(X3,X1,X2)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_64_065,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_65_066,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_66_067,plain,
( epred1_3(X1,X2,X3)
| 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_17]) ).
cnf(c_0_67_068,plain,
( epred1_3(X1,X2,X3)
| 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_17]) ).
cnf(c_0_68_069,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_69_070,plain,
( epred1_3(X1,X2,X3)
| 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_17]) ).
cnf(c_0_70_071,plain,
( epred1_3(X1,X2,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_17]) ).
cnf(c_0_71_072,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_17]) ).
cnf(c_0_72_073,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| 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(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_73_074,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_74_075,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_75_076,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_76_077,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_21]) ).
cnf(c_0_77_078,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_78_079,plain,
( 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(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_79_080,plain,
( 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(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_80_081,plain,
( 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(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_81_082,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| 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_19]) ).
cnf(c_0_82_083,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_83_084,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_19]) ).
cnf(c_0_84_085,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_85_086,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| 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_20]) ).
cnf(c_0_86_087,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| 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_20]) ).
cnf(c_0_87_088,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| 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_21]) ).
cnf(c_0_88_089,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| 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_21]) ).
cnf(c_0_89_090,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_90_091,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_20]) ).
cnf(c_0_91_092,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X3,X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_18]) ).
cnf(c_0_92_093,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_93_094,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_94_095,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_95_096,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_96_097,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_23]) ).
cnf(c_0_97_098,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X4))))
| p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))) ),
c_0_24,
[final] ).
cnf(c_0_98_099,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_25,
[final] ).
cnf(c_0_99_100,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_26,
[final] ).
cnf(c_0_100_101,plain,
( p(s(tyop_2Emin_2Ebool,X3))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_27,
[final] ).
cnf(c_0_101_102,plain,
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3)
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_28,
[final] ).
cnf(c_0_102_103,plain,
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3)
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_29,
[final] ).
cnf(c_0_103_104,plain,
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3)
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_30,
[final] ).
cnf(c_0_104_105,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ),
c_0_31,
[final] ).
cnf(c_0_105_106,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ),
c_0_32,
[final] ).
cnf(c_0_106_107,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ),
c_0_33,
[final] ).
cnf(c_0_107_108,plain,
( epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_34,
[final] ).
cnf(c_0_108_109,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_35,
[final] ).
cnf(c_0_109_110,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_36,
[final] ).
cnf(c_0_110_111,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_37,
[final] ).
cnf(c_0_111_112,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_38,
[final] ).
cnf(c_0_112_113,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_39,
[final] ).
cnf(c_0_113_114,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_40,
[final] ).
cnf(c_0_114_115,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_41,
[final] ).
cnf(c_0_115_116,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_42,
[final] ).
cnf(c_0_116_117,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_43,
[final] ).
cnf(c_0_117_118,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_44,
[final] ).
cnf(c_0_118_119,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_45,
[final] ).
cnf(c_0_119_120,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_46,
[final] ).
cnf(c_0_120_121,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_47,
[final] ).
cnf(c_0_121_122,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_48,
[final] ).
cnf(c_0_122_123,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_49,
[final] ).
cnf(c_0_123_124,plain,
( epred1_3(X1,X2,X3)
| 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_124_125,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_51,
[final] ).
cnf(c_0_125_126,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_52,
[final] ).
cnf(c_0_126_127,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_53,
[final] ).
cnf(c_0_127_128,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_54,
[final] ).
cnf(c_0_128_129,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_55,
[final] ).
cnf(c_0_129_130,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_56,
[final] ).
cnf(c_0_130_131,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_57,
[final] ).
cnf(c_0_131_132,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_58,
[final] ).
cnf(c_0_132_133,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_59,
[final] ).
cnf(c_0_133_134,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_60,
[final] ).
cnf(c_0_134_135,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_61,
[final] ).
cnf(c_0_135_136,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_62,
[final] ).
cnf(c_0_136_137,plain,
( epred1_3(X3,X1,X2)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_63,
[final] ).
cnf(c_0_137_138,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_64,
[final] ).
cnf(c_0_138_139,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_65,
[final] ).
cnf(c_0_139_140,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_66,
[final] ).
cnf(c_0_140_141,plain,
( epred1_3(X1,X2,X3)
| 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_141_142,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_68,
[final] ).
cnf(c_0_142_143,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_69,
[final] ).
cnf(c_0_143_144,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_70,
[final] ).
cnf(c_0_144_145,plain,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_71,
[final] ).
cnf(c_0_145_146,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3)) ),
c_0_72,
[final] ).
cnf(c_0_146_147,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_73,
[final] ).
cnf(c_0_147_148,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_74,
[final] ).
cnf(c_0_148_149,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_75,
[final] ).
cnf(c_0_149_150,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_76,
[final] ).
cnf(c_0_150_151,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_77,
[final] ).
cnf(c_0_151_152,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_78,
[final] ).
cnf(c_0_152_153,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_79,
[final] ).
cnf(c_0_153_154,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_80,
[final] ).
cnf(c_0_154_155,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_81,
[final] ).
cnf(c_0_155_156,plain,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_82,
[final] ).
cnf(c_0_156_157,plain,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_83,
[final] ).
cnf(c_0_157_158,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_84,
[final] ).
cnf(c_0_158_159,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_85,
[final] ).
cnf(c_0_159_160,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_86,
[final] ).
cnf(c_0_160_161,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_87,
[final] ).
cnf(c_0_161_162,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
c_0_88,
[final] ).
cnf(c_0_162_163,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_89,
[final] ).
cnf(c_0_163_164,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_90,
[final] ).
cnf(c_0_164_165,plain,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X3,X1,X2) ),
c_0_91,
[final] ).
cnf(c_0_165_166,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_92,
[final] ).
cnf(c_0_166_167,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_93,
[final] ).
cnf(c_0_167_168,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
c_0_94,
[final] ).
cnf(c_0_168_169,plain,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
c_0_95,
[final] ).
cnf(c_0_169_170,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_96,
[final] ).
% End CNF derivation
% Generating one_way clauses for all literals in the CNF.
cnf(c_0_97_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X4))))
| p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2)))) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_97_1,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X4),s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2))))
| p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X2),s(tyop_2Emin_2Efun(X3,tyop_2Emin_2Ebool),X4)))) ),
inference(literals_permutation,[status(thm)],[c_0_97]) ).
cnf(c_0_98_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_1,axiom,
( ~ epred1_3(X1,X2,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_98]) ).
cnf(c_0_98_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_98]) ).
cnf(c_0_98_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ epred1_3(X1,X2,X3)
| 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,X2))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_99_1,axiom,
( ~ epred1_3(X1,X2,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_99_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,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_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_99]) ).
cnf(c_0_100_0,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_100_1,axiom,
( ~ epred1_3(X1,X2,X3)
| 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_100]) ).
cnf(c_0_100_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| ~ 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,X1))
| ~ epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_100]) ).
cnf(c_0_101_0,axiom,
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3)
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_1,axiom,
( ~ epred1_3(X1,X2,X3)
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_101_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3) ),
inference(literals_permutation,[status(thm)],[c_0_101]) ).
cnf(c_0_102_0,axiom,
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3)
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_1,axiom,
( ~ epred1_3(X1,X2,X3)
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ epred1_3(X1,X2,X3)
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_102_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ epred1_3(X1,X2,X3)
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3) ),
inference(literals_permutation,[status(thm)],[c_0_102]) ).
cnf(c_0_103_0,axiom,
( s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3)
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_1,axiom,
( ~ epred1_3(X1,X2,X3)
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ epred1_3(X1,X2,X3)
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_103_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ epred1_3(X1,X2,X3)
| s(tyop_2Emin_2Ebool,X2) = s(tyop_2Emin_2Ebool,X3) ),
inference(literals_permutation,[status(thm)],[c_0_103]) ).
cnf(c_0_104_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_1,axiom,
( ~ epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_104_3,axiom,
( s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_104]) ).
cnf(c_0_105_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_1,axiom,
( ~ epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_105_3,axiom,
( s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_105]) ).
cnf(c_0_106_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_1,axiom,
( ~ epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_106_3,axiom,
( s(tyop_2Emin_2Ebool,X2) != s(tyop_2Emin_2Ebool,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_106]) ).
cnf(c_0_107_0,axiom,
( epred1_3(X1,X2,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_107]) ).
cnf(c_0_107_1,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_107_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_107]) ).
cnf(c_0_108_0,axiom,
( epred1_3(X1,X2,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_108]) ).
cnf(c_0_108_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
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,X2))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_108_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_108]) ).
cnf(c_0_109_0,axiom,
( epred1_3(X1,X2,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_109]) ).
cnf(c_0_109_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| epred1_3(X1,X2,X3)
| ~ 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))
| epred1_3(X1,X2,X3)
| ~ 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))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_109]) ).
cnf(c_0_110_0,axiom,
( epred1_3(X1,X2,X3)
| 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_110]) ).
cnf(c_0_110_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_110_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_110]) ).
cnf(c_0_111_0,axiom,
( epred1_3(X1,X2,X3)
| 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_111]) ).
cnf(c_0_111_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
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,X1))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_111_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_111]) ).
cnf(c_0_112_0,axiom,
( epred1_3(X1,X2,X3)
| 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_112]) ).
cnf(c_0_112_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_112_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_112]) ).
cnf(c_0_113_0,axiom,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_113_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_113]) ).
cnf(c_0_114_0,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_2,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_114]) ).
cnf(c_0_114_3,axiom,
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| 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_114]) ).
cnf(c_0_114_4,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X1) != 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_114]) ).
cnf(c_0_115_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ 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_115]) ).
cnf(c_0_115_1,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_115]) ).
cnf(c_0_115_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ 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_115]) ).
cnf(c_0_115_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_115]) ).
cnf(c_0_116_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_116_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,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_116]) ).
cnf(c_0_117_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_117_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,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_117]) ).
cnf(c_0_118_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ 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_118]) ).
cnf(c_0_118_1,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| 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_118]) ).
cnf(c_0_118_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_118_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_118]) ).
cnf(c_0_119_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| ~ 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_119]) ).
cnf(c_0_119_1,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| 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_119]) ).
cnf(c_0_119_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ 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_119]) ).
cnf(c_0_119_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_119]) ).
cnf(c_0_120_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_120]) ).
cnf(c_0_120_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_120]) ).
cnf(c_0_120_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_120]) ).
cnf(c_0_120_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_120]) ).
cnf(c_0_121_0,axiom,
( epred1_3(X1,X2,X3)
| 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_121]) ).
cnf(c_0_121_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_2,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_121_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_121]) ).
cnf(c_0_122_0,axiom,
( epred1_3(X1,X2,X3)
| 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_122]) ).
cnf(c_0_122_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_2,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_122_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_122]) ).
cnf(c_0_123_0,axiom,
( epred1_3(X1,X2,X3)
| 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_123]) ).
cnf(c_0_123_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_2,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_123_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_123]) ).
cnf(c_0_124_0,axiom,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_2,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_124_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_124]) ).
cnf(c_0_125_0,axiom,
( epred1_3(X1,X2,X3)
| 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_125]) ).
cnf(c_0_125_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_2,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_125_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_125]) ).
cnf(c_0_126_0,axiom,
( epred1_3(X1,X2,X3)
| 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_126]) ).
cnf(c_0_126_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_2,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_126_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_126]) ).
cnf(c_0_127_0,axiom,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_2,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_127_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_127]) ).
cnf(c_0_128_0,axiom,
( epred1_3(X1,X2,X3)
| 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_128]) ).
cnf(c_0_128_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_2,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_128_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_128]) ).
cnf(c_0_129_0,axiom,
( epred1_3(X1,X2,X3)
| 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_129]) ).
cnf(c_0_129_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_2,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_129_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_129]) ).
cnf(c_0_130_0,axiom,
( epred1_3(X1,X2,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_130]) ).
cnf(c_0_130_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_2,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_130_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_130]) ).
cnf(c_0_131_0,axiom,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_2,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_131_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_131]) ).
cnf(c_0_132_0,axiom,
( epred1_3(X1,X2,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_132]) ).
cnf(c_0_132_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_2,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_132_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_132]) ).
cnf(c_0_133_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_2,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_3,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_133_4,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_133]) ).
cnf(c_0_134_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| 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_134]) ).
cnf(c_0_134_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_134_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,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_134]) ).
cnf(c_0_135_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| 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_135]) ).
cnf(c_0_135_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_135_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,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_135]) ).
cnf(c_0_136_0,axiom,
( epred1_3(X3,X1,X2)
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_1,axiom,
( s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| epred1_3(X3,X1,X2)
| ~ p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_136_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X1) != s(tyop_2Emin_2Ebool,X2)
| epred1_3(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_136]) ).
cnf(c_0_137_0,axiom,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_2,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_137_3,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_137]) ).
cnf(c_0_138_0,axiom,
( epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_2,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_138_3,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_138]) ).
cnf(c_0_139_0,axiom,
( epred1_3(X1,X2,X3)
| 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_139]) ).
cnf(c_0_139_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_2,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_139_3,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_139]) ).
cnf(c_0_140_0,axiom,
( epred1_3(X1,X2,X3)
| 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_140]) ).
cnf(c_0_140_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_2,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_140_3,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_140]) ).
cnf(c_0_141_0,axiom,
( epred1_3(X1,X2,X3)
| 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_141]) ).
cnf(c_0_141_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_2,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_141_3,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_141]) ).
cnf(c_0_142_0,axiom,
( epred1_3(X1,X2,X3)
| 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_142]) ).
cnf(c_0_142_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_2,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_142_3,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_142]) ).
cnf(c_0_143_0,axiom,
( epred1_3(X1,X2,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_143]) ).
cnf(c_0_143_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_2,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_143_3,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_143]) ).
cnf(c_0_144_0,axiom,
( epred1_3(X1,X2,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_144]) ).
cnf(c_0_144_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_2,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3)
| p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_144_3,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| epred1_3(X1,X2,X3) ),
inference(literals_permutation,[status(thm)],[c_0_144]) ).
cnf(c_0_145_0,axiom,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| 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_145]) ).
cnf(c_0_145_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| 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_145]) ).
cnf(c_0_145_2,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_3,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X3)) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_145_4,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))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2) ),
inference(literals_permutation,[status(thm)],[c_0_145]) ).
cnf(c_0_146_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_146_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_146]) ).
cnf(c_0_147_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_147_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_147]) ).
cnf(c_0_148_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_148_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_148]) ).
cnf(c_0_149_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_149_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_149]) ).
cnf(c_0_150_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_150_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_150]) ).
cnf(c_0_151_0,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_151]) ).
cnf(c_0_151_1,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_151]) ).
cnf(c_0_151_2,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_151]) ).
cnf(c_0_151_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_151]) ).
cnf(c_0_152_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_152_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,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_152]) ).
cnf(c_0_153_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_153_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,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_153]) ).
cnf(c_0_154_0,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| 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_154]) ).
cnf(c_0_154_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| 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_154]) ).
cnf(c_0_154_2,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_154_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_154]) ).
cnf(c_0_155_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_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,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_155]) ).
cnf(c_0_155_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| 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_155]) ).
cnf(c_0_156_0,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| 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_156]) ).
cnf(c_0_156_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| 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_156]) ).
cnf(c_0_156_2,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| 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_156]) ).
cnf(c_0_156_3,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_156]) ).
cnf(c_0_157_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| 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_157]) ).
cnf(c_0_157_1,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_2,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_157_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_157]) ).
cnf(c_0_158_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| 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_158]) ).
cnf(c_0_158_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_2,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_158_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,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_158]) ).
cnf(c_0_159_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| 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_159]) ).
cnf(c_0_159_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_2,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_159_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,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_159]) ).
cnf(c_0_160_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| 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_160]) ).
cnf(c_0_160_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_2,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_160_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,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_160]) ).
cnf(c_0_161_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| 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_161]) ).
cnf(c_0_161_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_2,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X2)) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_161_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,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_161]) ).
cnf(c_0_162_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_2,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_162_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_162]) ).
cnf(c_0_163_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_2,axiom,
( p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_163_3,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X2))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_163]) ).
cnf(c_0_164_0,axiom,
( s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| p(s(tyop_2Emin_2Ebool,X3))
| epred1_3(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_1,axiom,
( p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2)
| epred1_3(X3,X1,X2) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_164_2,axiom,
( epred1_3(X3,X1,X2)
| p(s(tyop_2Emin_2Ebool,X3))
| s(tyop_2Emin_2Ebool,X1) = s(tyop_2Emin_2Ebool,X2) ),
inference(literals_permutation,[status(thm)],[c_0_164]) ).
cnf(c_0_165_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_1,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_165_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_165]) ).
cnf(c_0_166_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_1,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_166_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_166]) ).
cnf(c_0_167_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,X1)) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_167_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_167]) ).
cnf(c_0_168_0,axiom,
( p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_1,axiom,
( p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_168_2,axiom,
( ~ p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0))
| p(s(tyop_2Emin_2Ebool,X1))
| p(s(tyop_2Emin_2Ebool,c_2Ebool_2EF_2E0)) ),
inference(literals_permutation,[status(thm)],[c_0_168]) ).
cnf(c_0_169_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_169]) ).
cnf(c_0_169_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_169]) ).
% CNF of non-axioms
% Start CNF derivation
fof(c_0_0_171,conjecture,
! [X1,X2,X3,X4] :
( ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X4))))
<=> ~ p(s(tyop_2Emin_2Ebool,c_2Ecardinal_2Ecardleq_2E2(s(tyop_2Emin_2Efun(X1,tyop_2Emin_2Ebool),X3),s(tyop_2Emin_2Efun(X2,tyop_2Emin_2Ebool),X4)))) ),
file('<stdin>',thm_2Ecardinal_2ECARD__NOT__LE) ).
fof(c_0_1_172,negated_conjecture,
~ ! [X1,X2,X3,X4] : $true,
inference(fof_simplification,[status(thm)],[inference(assume_negation,[status(cth)],[c_0_0])]) ).
fof(c_0_2_173,negated_conjecture,
~ $true,
inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_1])])]) ).
cnf(c_0_3_174,negated_conjecture,
$false,
inference(split_conjunct,[status(thm)],[c_0_2]) ).
cnf(c_0_4_175,negated_conjecture,
$false,
c_0_3,
[final] ).
% End CNF derivation
%-------------------------------------------------------------
% Proof by iprover
cnf(c_364,negated_conjecture,
$false,
file('/export/starexec/sandbox2/tmp/iprover_modulo_9c8ed5.p',c_0_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ITP010+1 : TPTP v8.1.0. Bugfixed v7.5.0.
% 0.04/0.13 % Command : iprover_modulo %s %d
% 0.13/0.33 % Computer : n018.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Fri Jun 3 23:16:02 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % Running in mono-core mode
% 0.20/0.42 % Orienting using strategy Equiv(ClausalAll)
% 0.20/0.42 % FOF problem with conjecture
% 0.20/0.42 % 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/sandbox2/tmp/iprover_proof_fefe6c.s --tptp_safe_out true --time_out_real 150 /export/starexec/sandbox2/tmp/iprover_modulo_9c8ed5.p | tee /export/starexec/sandbox2/tmp/iprover_modulo_out_edaad6 | grep -v "SZS"
% 0.20/0.44
% 0.20/0.44 %---------------- iProver v2.5 (CASC-J8 2016) ----------------%
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % ------ iProver source info
% 0.20/0.44
% 0.20/0.44 % git: sha1: 57accf6c58032223c7708532cf852a99fa48c1b3
% 0.20/0.44 % git: non_committed_changes: true
% 0.20/0.44 % git: last_make_outside_of_git: true
% 0.20/0.44
% 0.20/0.44 %
% 0.20/0.44 % ------ Input Options
% 0.20/0.44
% 0.20/0.44 % --out_options all
% 0.20/0.44 % --tptp_safe_out true
% 0.20/0.44 % --problem_path ""
% 0.20/0.44 % --include_path ""
% 0.20/0.44 % --clausifier .//eprover
% 0.20/0.44 % --clausifier_options --tstp-format
% 0.20/0.44 % --stdin false
% 0.20/0.44 % --dbg_backtrace false
% 0.20/0.44 % --dbg_dump_prop_clauses false
% 0.20/0.44 % --dbg_dump_prop_clauses_file -
% 0.20/0.44 % --dbg_out_stat false
% 0.20/0.44
% 0.20/0.44 % ------ General Options
% 0.20/0.44
% 0.20/0.44 % --fof false
% 0.20/0.44 % --time_out_real 150.
% 0.20/0.44 % --time_out_prep_mult 0.2
% 0.20/0.44 % --time_out_virtual -1.
% 0.20/0.44 % --schedule none
% 0.20/0.44 % --ground_splitting input
% 0.20/0.44 % --splitting_nvd 16
% 0.20/0.44 % --non_eq_to_eq false
% 0.20/0.44 % --prep_gs_sim true
% 0.20/0.44 % --prep_unflatten false
% 0.20/0.44 % --prep_res_sim true
% 0.20/0.44 % --prep_upred true
% 0.20/0.44 % --res_sim_input true
% 0.20/0.44 % --clause_weak_htbl true
% 0.20/0.44 % --gc_record_bc_elim false
% 0.20/0.44 % --symbol_type_check false
% 0.20/0.44 % --clausify_out false
% 0.20/0.44 % --large_theory_mode false
% 0.20/0.44 % --prep_sem_filter none
% 0.20/0.44 % --prep_sem_filter_out false
% 0.20/0.44 % --preprocessed_out false
% 0.20/0.44 % --sub_typing false
% 0.20/0.44 % --brand_transform false
% 0.20/0.44 % --pure_diseq_elim true
% 0.20/0.44 % --min_unsat_core false
% 0.20/0.44 % --pred_elim true
% 0.20/0.44 % --add_important_lit false
% 0.20/0.44 % --soft_assumptions false
% 0.20/0.44 % --reset_solvers false
% 0.20/0.44 % --bc_imp_inh []
% 0.20/0.44 % --conj_cone_tolerance 1.5
% 0.20/0.44 % --prolific_symb_bound 500
% 0.20/0.44 % --lt_threshold 2000
% 0.20/0.44
% 0.20/0.44 % ------ SAT Options
% 0.20/0.44
% 0.20/0.44 % --sat_mode false
% 0.20/0.44 % --sat_fm_restart_options ""
% 0.20/0.44 % --sat_gr_def false
% 0.20/0.44 % --sat_epr_types true
% 0.20/0.44 % --sat_non_cyclic_types false
% 0.20/0.44 % --sat_finite_models false
% 0.20/0.44 % --sat_fm_lemmas false
% 0.20/0.44 % --sat_fm_prep false
% 0.20/0.44 % --sat_fm_uc_incr true
% 0.20/0.44 % --sat_out_model small
% 0.20/0.44 % --sat_out_clauses false
% 0.20/0.44
% 0.20/0.44 % ------ QBF Options
% 0.20/0.44
% 0.20/0.44 % --qbf_mode false
% 0.20/0.44 % --qbf_elim_univ true
% 0.20/0.44 % --qbf_sk_in true
% 0.20/0.44 % --qbf_pred_elim true
% 0.20/0.44 % --qbf_split 32
% 0.20/0.44
% 0.20/0.44 % ------ BMC1 Options
% 0.20/0.44
% 0.20/0.44 % --bmc1_incremental false
% 0.20/0.44 % --bmc1_axioms reachable_all
% 0.20/0.44 % --bmc1_min_bound 0
% 0.20/0.44 % --bmc1_max_bound -1
% 0.20/0.44 % --bmc1_max_bound_default -1
% 0.20/0.44 % --bmc1_symbol_reachability true
% 0.20/0.44 % --bmc1_property_lemmas false
% 0.20/0.44 % --bmc1_k_induction false
% 0.20/0.44 % --bmc1_non_equiv_states false
% 0.20/0.44 % --bmc1_deadlock false
% 0.20/0.44 % --bmc1_ucm false
% 0.20/0.44 % --bmc1_add_unsat_core none
% 0.20/0.44 % --bmc1_unsat_core_children false
% 0.20/0.44 % --bmc1_unsat_core_extrapolate_axioms false
% 0.20/0.44 % --bmc1_out_stat full
% 0.20/0.44 % --bmc1_ground_init false
% 0.20/0.44 % --bmc1_pre_inst_next_state false
% 0.20/0.44 % --bmc1_pre_inst_state false
% 0.20/0.44 % --bmc1_pre_inst_reach_state false
% 0.20/0.44 % --bmc1_out_unsat_core false
% 0.20/0.44 % --bmc1_aig_witness_out false
% 0.20/0.44 % --bmc1_verbose false
% 0.20/0.44 % --bmc1_dump_clauses_tptp false
% 0.20/0.46 % --bmc1_dump_unsat_core_tptp false
% 0.20/0.46 % --bmc1_dump_file -
% 0.20/0.46 % --bmc1_ucm_expand_uc_limit 128
% 0.20/0.46 % --bmc1_ucm_n_expand_iterations 6
% 0.20/0.46 % --bmc1_ucm_extend_mode 1
% 0.20/0.46 % --bmc1_ucm_init_mode 2
% 0.20/0.46 % --bmc1_ucm_cone_mode none
% 0.20/0.46 % --bmc1_ucm_reduced_relation_type 0
% 0.20/0.46 % --bmc1_ucm_relax_model 4
% 0.20/0.46 % --bmc1_ucm_full_tr_after_sat true
% 0.20/0.46 % --bmc1_ucm_expand_neg_assumptions false
% 0.20/0.46 % --bmc1_ucm_layered_model none
% 0.20/0.46 % --bmc1_ucm_max_lemma_size 10
% 0.20/0.46
% 0.20/0.46 % ------ AIG Options
% 0.20/0.46
% 0.20/0.46 % --aig_mode false
% 0.20/0.46
% 0.20/0.46 % ------ Instantiation Options
% 0.20/0.46
% 0.20/0.46 % --instantiation_flag true
% 0.20/0.46 % --inst_lit_sel [+prop;+sign;+ground;-num_var;-num_symb]
% 0.20/0.46 % --inst_solver_per_active 750
% 0.20/0.46 % --inst_solver_calls_frac 0.5
% 0.20/0.46 % --inst_passive_queue_type priority_queues
% 0.20/0.46 % --inst_passive_queues [[-conj_dist;+conj_symb;-num_var];[+age;-num_symb]]
% 0.20/0.46 % --inst_passive_queues_freq [25;2]
% 0.20/0.46 % --inst_dismatching true
% 0.20/0.46 % --inst_eager_unprocessed_to_passive true
% 0.20/0.46 % --inst_prop_sim_given true
% 0.20/0.46 % --inst_prop_sim_new false
% 0.20/0.46 % --inst_orphan_elimination true
% 0.20/0.46 % --inst_learning_loop_flag true
% 0.20/0.46 % --inst_learning_start 3000
% 0.20/0.46 % --inst_learning_factor 2
% 0.20/0.46 % --inst_start_prop_sim_after_learn 3
% 0.20/0.46 % --inst_sel_renew solver
% 0.20/0.46 % --inst_lit_activity_flag true
% 0.20/0.46 % --inst_out_proof true
% 0.20/0.46
% 0.20/0.46 % ------ Resolution Options
% 0.20/0.46
% 0.20/0.46 % --resolution_flag true
% 0.20/0.46 % --res_lit_sel kbo_max
% 0.20/0.46 % --res_to_prop_solver none
% 0.20/0.46 % --res_prop_simpl_new false
% 0.20/0.46 % --res_prop_simpl_given false
% 0.20/0.46 % --res_passive_queue_type priority_queues
% 0.20/0.46 % --res_passive_queues [[-conj_dist;+conj_symb;-num_symb];[+age;-num_symb]]
% 0.20/0.46 % --res_passive_queues_freq [15;5]
% 0.20/0.46 % --res_forward_subs full
% 0.20/0.46 % --res_backward_subs full
% 0.20/0.46 % --res_forward_subs_resolution true
% 0.20/0.46 % --res_backward_subs_resolution true
% 0.20/0.46 % --res_orphan_elimination false
% 0.20/0.46 % --res_time_limit 1000.
% 0.20/0.46 % --res_out_proof true
% 0.20/0.46 % --proof_out_file /export/starexec/sandbox2/tmp/iprover_proof_fefe6c.s
% 0.20/0.46 % --modulo true
% 0.20/0.46
% 0.20/0.46 % ------ Combination Options
% 0.20/0.46
% 0.20/0.46 % --comb_res_mult 1000
% 0.20/0.46 % --comb_inst_mult 300
% 0.20/0.46 % ------
% 0.20/0.46
% 0.20/0.46 % ------ Parsing...%
% 0.20/0.46
% 0.20/0.46
% 0.20/0.46 % Resolution empty clause
% 0.20/0.46
% 0.20/0.46 % ------ Statistics
% 0.20/0.46
% 0.20/0.46 % ------ General
% 0.20/0.46
% 0.20/0.46 % num_of_input_clauses: 365
% 0.20/0.46 % num_of_input_neg_conjectures: 1
% 0.20/0.46 % num_of_splits: 0
% 0.20/0.46 % num_of_split_atoms: 0
% 0.20/0.46 % num_of_sem_filtered_clauses: 0
% 0.20/0.46 % num_of_subtypes: 0
% 0.20/0.46 % monotx_restored_types: 0
% 0.20/0.46 % sat_num_of_epr_types: 0
% 0.20/0.46 % sat_num_of_non_cyclic_types: 0
% 0.20/0.46 % sat_guarded_non_collapsed_types: 0
% 0.20/0.46 % is_epr: 0
% 0.20/0.46 % is_horn: 0
% 0.20/0.46 % has_eq: 0
% 0.20/0.46 % num_pure_diseq_elim: 0
% 0.20/0.46 % simp_replaced_by: 0
% 0.20/0.46 % res_preprocessed: 0
% 0.20/0.46 % prep_upred: 0
% 0.20/0.46 % prep_unflattend: 0
% 0.20/0.46 % pred_elim_cands: 0
% 0.20/0.46 % pred_elim: 0
% 0.20/0.46 % pred_elim_cl: 0
% 0.20/0.46 % pred_elim_cycles: 0
% 0.20/0.46 % forced_gc_time: 0
% 0.20/0.46 % gc_basic_clause_elim: 0
% 0.20/0.46 % parsing_time: 0.
% 0.20/0.46 % sem_filter_time: 0.
% 0.20/0.46 % pred_elim_time: 0.
% 0.20/0.46 % out_proof_time: 0.
% 0.20/0.46 % monotx_time: 0.
% 0.20/0.46 % subtype_inf_time: 0.
% 0.20/0.46 % unif_index_cands_time: 0.
% 0.20/0.46 % unif_index_add_time: 0.
% 0.20/0.46 % total_time: 0.035
% 0.20/0.46 % num_of_symbols: 55
% 0.20/0.46 % num_of_terms: 342
% 0.20/0.46
% 0.20/0.46 % ------ Propositional Solver
% 0.20/0.46
% 0.20/0.46 % prop_solver_calls: 0
% 0.20/0.46 % prop_fast_solver_calls: 0
% 0.20/0.46 % prop_num_of_clauses: 0
% 0.20/0.46 % prop_preprocess_simplified: 0
% 0.20/0.46 % prop_fo_subsumed: 0
% 0.20/0.46 % prop_solver_time: 0.
% 0.20/0.46 % prop_fast_solver_time: 0.
% 0.20/0.46 % prop_unsat_core_time: 0.
% 0.20/0.46
% 0.20/0.46 % ------ QBF
% 0.20/0.46
% 0.20/0.46 % qbf_q_res: 0
% 0.20/0.46 % qbf_num_tautologies: 0
% 0.20/0.46 % qbf_prep_cycles: 0
% 0.20/0.46
% 0.20/0.46 % ------ BMC1
% 0.20/0.46
% 0.20/0.46 % bmc1_current_bound: -1
% 0.20/0.46 % bmc1_last_solved_bound: -1
% 0.20/0.46 % bmc1_unsat_core_size: -1
% 0.20/0.46 % bmc1_unsat_core_parents_size: -1
% 0.20/0.46 % bmc1_merge_next_fun: 0
% 0.20/0.46 % bmc1_unsat_core_clauses_time: 0.
% 0.20/0.46
% 0.20/0.46 % ------ Instantiation
% 0.20/0.46
% 0.20/0.46 % inst_num_of_clauses: undef
% 0.20/0.46 % inst_num_in_passive: undef
% 0.20/0.46 % inst_num_in_active: 0
% 0.20/0.46 % inst_num_in_unprocessed: 0
% 0.20/0.46 % inst_num_of_loops: 0
% 0.20/0.46 % inst_num_of_learning_restarts: 0
% 0.20/0.46 % inst_num_moves_active_passive: 0
% 0.20/0.46 % inst_lit_activity: 0
% 0.20/0.46 % inst_lit_activity_moves: 0
% 0.20/0.46 % inst_num_tautologies: 0
% 0.20/0.46 % inst_num_prop_implied: 0
% 0.20/0.46 % inst_num_existing_simplified: 0
% 0.20/0.46 % inst_num_eq_res_simplified: 0
% 0.20/0.46 % inst_num_child_elim: 0
% 0.20/0.46 % inst_num_of_dismatching_blockings: 0
% 0.20/0.46 % inst_num_of_non_proper_insts: 0
% 0.20/0.46 % inst_num_of_duplicates: 0
% 0.20/0.46 % inst_inst_num_from_inst_to_res: 0
% 0.20/0.46 % inst_dismatching_checking_time: 0.
% 0.20/0.46
% 0.20/0.46 % ------ Resolution
% 0.20/0.46
% 0.20/0.46 % res_num_of_clauses: undef
% 0.20/0.46 % res_num_in_passive: undef
% 0.20/0.46 % res_num_in_active: 0
% 0.20/0.46 % res_num_of_loops: 0
% 0.20/0.46 % res_forward_subset_subsumed: 0
% 0.20/0.46 % res_backward_subset_subsumed: 0
% 0.20/0.46 % res_forward_subsumed: 0
% 0.20/0.46 % res_backward_subsumed: 0
% 0.20/0.46 % res_forward_subsumption_resolution: 0
% 0.20/0.46 % res_backward_subsumption_resolution: 0
% 0.20/0.46 % res_clause_to_clause_subsumption: 0
% 0.20/0.46 % res_orphan_elimination: 0
% 0.20/0.46 % res_tautology_del: 0
% 0.20/0.46 % res_num_eq_res_simplified: 0
% 0.20/0.46 % res_num_sel_changes: 0
% 0.20/0.46 % res_moves_from_active_to_pass: 0
% 0.20/0.46
% 0.20/0.46 % Status Unsatisfiable
% 0.20/0.46 % SZS status Theorem
% 0.20/0.46 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------