%------------------------------------------------------------------------------
% File : E---3.5.1
% Problem : SCT117+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 02:07:54 PM UTC 2026
% Result : Theorem 260.52s 38.45s
% Output : CNFRefutation 260.52s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 8
% Syntax : Number of formulae : 113 ( 10 unt; 0 def)
% Number of atoms : 1275 ( 530 equ)
% Maximal formula atoms : 504 ( 11 avg)
% Number of connectives : 1638 ( 476 ~; 821 |; 278 &)
% ( 4 <=>; 59 =>; 0 <=; 0 <~>)
% Maximal formula depth : 96 ( 6 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 2 prp; 0-3 aty)
% Number of functors : 18 ( 18 usr; 10 con; 0-4 aty)
% Number of variables : 211 ( 13 sgn 89 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(fact_converseE,axiom,
! [X16,X41,X13,X5] :
( c_member(tc_prod(X5,X13),X41,c_Relation_Oconverse(X13,X5,X16))
=> ~ ! [X3,X36] :
( X41 = c_Product__Type_OPair(X5,X13,X36,X3)
=> ~ c_member(tc_prod(X13,X5),c_Product__Type_OPair(X13,X5,X3,X36),X16) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_converseE) ).
fof(fact_converse__iff,axiom,
! [X16,X22,X23,X13,X5] :
( c_member(tc_prod(X5,X13),c_Product__Type_OPair(X5,X13,X23,X22),c_Relation_Oconverse(X13,X5,X16))
<=> c_member(tc_prod(X13,X5),c_Product__Type_OPair(X13,X5,X22,X23),X16) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_converse__iff) ).
fof(fact_Pair__eq,axiom,
! [X20,X21,X22,X23,X13,X5] :
( c_Product__Type_OPair(X5,X13,X23,X22) = c_Product__Type_OPair(X5,X13,X21,X20)
<=> ( X22 = X20
& X23 = X21 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_Pair__eq) ).
fof(conj_1,hypothesis,
( ! [X3,X36] :
( X3 != X36
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X3),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) ) )
& ! [X3] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X3),v_L)
& ! [X3,X36] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L)
=> ! [X35] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L)
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(conj_2,conjecture,
( ! [X3,X36] :
( X3 != X36
=> ( ( X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X3),v_L)
& X36 = v_y )
| ( X36 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_x),v_L)
& X3 = v_y )
| ( X3 != v_y
& X36 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X3),v_L) )
| ( X3 = v_y
& X36 = v_x )
| ( X36 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X36),v_L)
& X3 = v_y )
| ( X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& X36 = v_y )
| ( X36 != v_y
& X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) )
| ( X36 = v_y
& X3 = v_x ) ) )
& ! [X3,X36] :
( ( ( X36 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X36),v_L)
& X3 = v_y )
=> ! [X35] :
( ( X35 = v_y
=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_x),v_L) )
& ( ( X35 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L) )
& ( X36 = v_x
=> X35 != v_y ) ) )
& ( ( X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& X36 = v_y )
=> ! [X35] :
( ( X35 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) )
& ( ( X36 != v_y
& X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) )
=> ! [X35] :
( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_x),v_L)
& X35 = v_y )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
| X3 = v_x ) )
& ( ( X35 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) )
& ( ( X35 = v_y
& X36 = v_x )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
| X3 = v_x ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(conj_0,hypothesis,
v_x != v_y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(c_0_6,plain,
! [X36,X3] :
( epred1_2(X3,X36)
<=> ( ( X36 != v_y
& X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) )
=> ! [X35] :
( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_x),v_L)
& X35 = v_y )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
| X3 = v_x ) )
& ( ( X35 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) )
& ( ( X35 = v_y
& X36 = v_x )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
| X3 = v_x ) ) ) ) ),
introduced(definition) ).
fof(c_0_7,plain,
! [X36,X3] :
( ( ( X36 != v_y
& X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) )
=> ! [X35] :
( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_x),v_L)
& X35 = v_y )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
| X3 = v_x ) )
& ( ( X35 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) )
& ( ( X35 = v_y
& X36 = v_x )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
| X3 = v_x ) ) ) )
=> epred1_2(X3,X36) ),
inference(split_equiv,[status(thm)],[c_0_6]) ).
fof(c_0_8,plain,
! [X16,X41,X13,X5] :
( c_member(tc_prod(X5,X13),X41,c_Relation_Oconverse(X13,X5,X16))
=> ~ ! [X3,X36] :
( X41 = c_Product__Type_OPair(X5,X13,X36,X3)
=> ~ c_member(tc_prod(X13,X5),c_Product__Type_OPair(X13,X5,X3,X36),X16) ) ),
inference(fof_simplification,[status(thm)],[fact_converseE]) ).
fof(c_0_9,plain,
! [X190,X191,X192,X193,X194] :
( ( c_member(tc_prod(X194,X193),c_Product__Type_OPair(X194,X193,X192,X191),c_Relation_Oconverse(X193,X194,X190))
| ~ c_member(tc_prod(X193,X194),c_Product__Type_OPair(X193,X194,X191,X192),X190) )
& ( c_member(tc_prod(X193,X194),c_Product__Type_OPair(X193,X194,X191,X192),X190)
| ~ c_member(tc_prod(X194,X193),c_Product__Type_OPair(X194,X193,X192,X191),c_Relation_Oconverse(X193,X194,X190)) ) ),
inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_converse__iff])])]) ).
fof(c_0_10,plain,
! [X509,X510] :
( ( epred1_2(X510,X509)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L) )
& ( epred1_2(X510,X509)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| X510 != v_x )
& ( epred1_2(X510,X509)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,v_x),v_L) )
& ( epred1_2(X510,X509)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| esk26_2(X509,X510) = v_y )
& ( epred1_2(X510,X509)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L)
| esk25_2(X509,X510) != v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L) )
& ( epred1_2(X510,X509)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L)
| esk25_2(X509,X510) != v_y
| X510 != v_x )
& ( epred1_2(X510,X509)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L)
| esk25_2(X509,X510) != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,v_x),v_L) )
& ( epred1_2(X510,X509)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L)
| esk25_2(X509,X510) != v_y
| esk26_2(X509,X510) = v_y )
& ( epred1_2(X510,X509)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L) )
& ( epred1_2(X510,X509)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| X510 != v_x )
& ( epred1_2(X510,X509)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,v_x),v_L) )
& ( epred1_2(X510,X509)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| esk26_2(X509,X510) = v_y )
& ( epred1_2(X510,X509)
| X510 != v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L) )
& ( epred1_2(X510,X509)
| X510 != v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| X510 != v_x )
& ( epred1_2(X510,X509)
| X510 != v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,v_x),v_L) )
& ( epred1_2(X510,X509)
| X510 != v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| esk26_2(X509,X510) = v_y )
& ( epred1_2(X510,X509)
| X510 != v_x
| esk25_2(X509,X510) != v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L) )
& ( epred1_2(X510,X509)
| X510 != v_x
| esk25_2(X509,X510) != v_y
| X510 != v_x )
& ( epred1_2(X510,X509)
| X510 != v_x
| esk25_2(X509,X510) != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,v_x),v_L) )
& ( epred1_2(X510,X509)
| X510 != v_x
| esk25_2(X509,X510) != v_y
| esk26_2(X509,X510) = v_y )
& ( epred1_2(X510,X509)
| X510 != v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L) )
& ( epred1_2(X510,X509)
| X510 != v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| X510 != v_x )
& ( epred1_2(X510,X509)
| X510 != v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,v_x),v_L) )
& ( epred1_2(X510,X509)
| X510 != v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| esk26_2(X509,X510) = v_y )
& ( epred1_2(X510,X509)
| esk24_2(X509,X510) = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L) )
& ( epred1_2(X510,X509)
| esk24_2(X509,X510) = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| X510 != v_x )
& ( epred1_2(X510,X509)
| esk24_2(X509,X510) = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,v_x),v_L) )
& ( epred1_2(X510,X509)
| esk24_2(X509,X510) = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| esk26_2(X509,X510) = v_y )
& ( epred1_2(X510,X509)
| esk24_2(X509,X510) = v_y
| esk25_2(X509,X510) != v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L) )
& ( epred1_2(X510,X509)
| esk24_2(X509,X510) = v_y
| esk25_2(X509,X510) != v_y
| X510 != v_x )
& ( epred1_2(X510,X509)
| esk24_2(X509,X510) = v_y
| esk25_2(X509,X510) != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,v_x),v_L) )
& ( epred1_2(X510,X509)
| esk24_2(X509,X510) = v_y
| esk25_2(X509,X510) != v_y
| esk26_2(X509,X510) = v_y )
& ( epred1_2(X510,X509)
| esk24_2(X509,X510) = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L) )
& ( epred1_2(X510,X509)
| esk24_2(X509,X510) = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| X510 != v_x )
& ( epred1_2(X510,X509)
| esk24_2(X509,X510) = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,v_x),v_L) )
& ( epred1_2(X510,X509)
| esk24_2(X509,X510) = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| esk26_2(X509,X510) = v_y )
& ( epred1_2(X510,X509)
| X509 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L) )
& ( epred1_2(X510,X509)
| X509 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| X510 != v_x )
& ( epred1_2(X510,X509)
| X509 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,v_x),v_L) )
& ( epred1_2(X510,X509)
| X509 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,esk25_2(X509,X510)),v_L)
| esk26_2(X509,X510) = v_y )
& ( epred1_2(X510,X509)
| X509 = v_x
| esk25_2(X509,X510) != v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L) )
& ( epred1_2(X510,X509)
| X509 = v_x
| esk25_2(X509,X510) != v_y
| X510 != v_x )
& ( epred1_2(X510,X509)
| X509 = v_x
| esk25_2(X509,X510) != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,v_x),v_L) )
& ( epred1_2(X510,X509)
| X509 = v_x
| esk25_2(X509,X510) != v_y
| esk26_2(X509,X510) = v_y )
& ( epred1_2(X510,X509)
| X509 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,v_x),v_L) )
& ( epred1_2(X510,X509)
| X509 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| X510 != v_x )
& ( epred1_2(X510,X509)
| X509 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,v_x),v_L) )
& ( epred1_2(X510,X509)
| X509 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X509,esk25_2(X509,X510)),v_L)
| esk26_2(X509,X510) = v_y )
& ( epred1_2(X510,X509)
| X509 != v_y )
& ( epred1_2(X510,X509)
| X510 != v_y )
& ( epred1_2(X510,X509)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X510,X509),v_L) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_7])])])])])]) ).
fof(c_0_11,plain,
! [X215,X216,X217,X218] :
( ( ~ c_member(tc_prod(X218,X217),X216,c_Relation_Oconverse(X217,X218,X215))
| c_member(tc_prod(X217,X218),c_Product__Type_OPair(X217,X218,esk4_4(X215,X216,X217,X218),esk5_4(X215,X216,X217,X218)),X215) )
& ( ~ c_member(tc_prod(X218,X217),X216,c_Relation_Oconverse(X217,X218,X215))
| X216 = c_Product__Type_OPair(X218,X217,esk5_4(X215,X216,X217,X218),esk4_4(X215,X216,X217,X218)) ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_8])])])])]) ).
cnf(c_0_12,plain,
( ~ c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,X3,X4),X5)
| c_member(tc_prod(X2,X1),c_Product__Type_OPair(X2,X1,X4,X3),c_Relation_Oconverse(X1,X2,X5)) ),
inference(split_conjunct,[status(thm)],[c_0_9]) ).
cnf(c_0_13,plain,
( epred1_2(X1,X2)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
fof(c_0_14,plain,
! [X122,X123,X124,X125,X126,X127] :
( ( c_Product__Type_OPair(X127,X126,X125,X124) = c_Product__Type_OPair(X127,X126,X123,X122)
| X124 != X122
| X125 != X123 )
& ( c_Product__Type_OPair(X127,X126,X125,X124) != c_Product__Type_OPair(X127,X126,X123,X122)
| X124 = X122 )
& ( c_Product__Type_OPair(X127,X126,X125,X124) != c_Product__Type_OPair(X127,X126,X123,X122)
| X125 = X123 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[fact_Pair__eq])])])]) ).
cnf(c_0_15,plain,
( ~ c_member(tc_prod(X2,X3),X1,c_Relation_Oconverse(X3,X2,X4))
| X1 = c_Product__Type_OPair(X2,X3,esk5_4(X4,X1,X3,X2),esk4_4(X4,X1,X3,X2)) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_16,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_L))
| epred1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_12,c_0_13]) ).
cnf(c_0_17,plain,
( c_Product__Type_OPair(X3,X4,X1,X5) != c_Product__Type_OPair(X3,X4,X2,X6)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_14]) ).
cnf(c_0_18,plain,
( epred1_2(X2,X1)
| c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk5_4(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk4_4(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2) ),
inference(spm,[status(thm)],[c_0_15,c_0_16]) ).
fof(c_0_19,hypothesis,
( ! [X3,X36] :
( X3 != X36
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X3),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) ) )
& ! [X3] : ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X3),v_L)
& ! [X3,X36] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L)
=> ! [X35] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L)
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) ) ),
inference(fof_simplification,[status(thm)],[conj_1]) ).
cnf(c_0_20,plain,
( ~ c_member(tc_prod(X2,X1),X4,c_Relation_Oconverse(X1,X2,X3))
| c_member(tc_prod(X1,X2),c_Product__Type_OPair(X1,X2,esk4_4(X3,X4,X1,X2),esk5_4(X3,X4,X1,X2)),X3) ),
inference(split_conjunct,[status(thm)],[c_0_11]) ).
cnf(c_0_21,plain,
( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2) != c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X4)
| epred1_2(X2,X1)
| esk5_4(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = X3 ),
inference(spm,[status(thm)],[c_0_17,c_0_18]) ).
fof(c_0_22,hypothesis,
! [X82,X83,X84,X85,X86,X87] :
( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X87,X86),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X86,X87),v_L)
| X86 = X87 )
& ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X85,X85),v_L)
& ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X82,X84),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X83,X84),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X82,X83),v_L) ) ),
inference(fof_nnf,[status(thm)],[inference(shift_quantors,[status(thm)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_19])])])]) ).
cnf(c_0_23,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_4(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),esk5_4(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_L)
| epred1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_20,c_0_16]) ).
cnf(c_0_24,plain,
( epred1_2(X2,X1)
| esk5_4(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = X1 ),
inference(er,[status(thm)],[c_0_21]) ).
cnf(c_0_25,hypothesis,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X3),v_L) ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_26,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk4_4(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),X2),v_L)
| epred1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_23,c_0_24]) ).
cnf(c_0_27,hypothesis,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
| X1 = X2 ),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_28,hypothesis,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,esk4_4(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)
| epred1_2(X1,X2) ),
inference(spm,[status(thm)],[c_0_25,c_0_26]) ).
cnf(c_0_29,plain,
( epred1_2(X2,X1)
| c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk4_4(v_L,c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) = c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2) ),
inference(spm,[status(thm)],[c_0_18,c_0_24]) ).
cnf(c_0_30,hypothesis,
~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X1),v_L),
inference(split_conjunct,[status(thm)],[c_0_22]) ).
cnf(c_0_31,hypothesis,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,X2),v_L)
| X1 = X2 ),
inference(spm,[status(thm)],[c_0_25,c_0_27]) ).
cnf(c_0_32,plain,
( epred1_2(X2,X1)
| X1 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk25_2(X1,X2)),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_33,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
| epred1_2(X1,X2) ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_28,c_0_29]),c_0_30]) ).
cnf(c_0_34,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,esk25_2(X1,X2)),v_L)
| epred1_2(X2,X1)
| X1 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_35,hypothesis,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X1),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk25_2(X2,X3)),v_L)
| epred1_2(X3,X2)
| X2 = v_x
| X1 = esk25_2(X2,X3) ),
inference(spm,[status(thm)],[c_0_31,c_0_32]) ).
cnf(c_0_36,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| epred1_2(X2,X1)
| epred1_2(esk25_2(X1,X2),X1)
| X1 = v_x ),
inference(spm,[status(thm)],[c_0_33,c_0_32]) ).
cnf(c_0_37,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| epred1_2(X2,X1)
| X1 = v_x
| esk25_2(X1,X2) = X2 ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_34,c_0_35]),c_0_33]) ).
fof(c_0_38,negated_conjecture,
~ ( ! [X3,X36] :
( X3 != X36
=> ( ( X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X3),v_L)
& X36 = v_y )
| ( X36 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_x),v_L)
& X3 = v_y )
| ( X3 != v_y
& X36 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X3),v_L) )
| ( X3 = v_y
& X36 = v_x )
| ( X36 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X36),v_L)
& X3 = v_y )
| ( X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& X36 = v_y )
| ( X36 != v_y
& X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) )
| ( X36 = v_y
& X3 = v_x ) ) )
& ! [X3,X36] :
( ( ( X36 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X36),v_L)
& X3 = v_y )
=> ! [X35] :
( ( X35 = v_y
=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_x),v_L) )
& ( ( X35 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L) )
& ( X36 = v_x
=> X35 != v_y ) ) )
& ( ( X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& X36 = v_y )
=> ! [X35] :
( ( X35 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) )
& ( ( X36 != v_y
& X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) )
=> ! [X35] :
( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_x),v_L)
& X35 = v_y )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
| X3 = v_x ) )
& ( ( X35 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) )
& ( ( X35 = v_y
& X36 = v_x )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
| X3 = v_x ) ) ) ) ) ),
inference(assume_negation,[status(cth)],[conj_2]) ).
fof(c_0_39,plain,
( epred2_0
<=> ! [X3,X36] :
( ( ( X36 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X36),v_L)
& X3 = v_y )
=> ! [X35] :
( ( X35 = v_y
=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_x),v_L) )
& ( ( X35 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L) )
& ( X36 = v_x
=> X35 != v_y ) ) )
& ( ( X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& X36 = v_y )
=> ! [X35] :
( ( X35 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) )
& ( ( X36 != v_y
& X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) )
=> ! [X35] :
( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_x),v_L)
& X35 = v_y )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
| X3 = v_x ) )
& ( ( X35 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) )
& ( ( X35 = v_y
& X36 = v_x )
=> ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
| X3 = v_x ) ) ) ) ) ),
introduced(definition) ).
cnf(c_0_40,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| epred1_2(X2,X1)
| X1 = v_x ),
inference(spm,[status(thm)],[c_0_36,c_0_37]) ).
fof(c_0_41,negated_conjecture,
~ ( ! [X3,X36] :
( X3 != X36
=> ( ( X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X3),v_L)
& X36 = v_y )
| ( X36 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_x),v_L)
& X3 = v_y )
| ( X3 != v_y
& X36 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X3),v_L) )
| ( X3 = v_y
& X36 = v_x )
| ( X36 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X36),v_L)
& X3 = v_y )
| ( X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& X36 = v_y )
| ( X36 != v_y
& X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X36),v_L) )
| ( X36 = v_y
& X3 = v_x ) ) )
& epred2_0 ),
inference(apply_def,[status(thm)],[inference(fof_simplification,[status(thm)],[c_0_38]),c_0_39]) ).
cnf(c_0_42,hypothesis,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X1),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
| epred1_2(X2,X1)
| X1 = v_x ),
inference(spm,[status(thm)],[c_0_25,c_0_40]) ).
fof(c_0_43,negated_conjecture,
( ( ~ epred2_0
| esk1_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk1_0),v_L)
| esk2_0 != v_y )
& ( ~ epred2_0
| esk2_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_x),v_L)
| esk1_0 != v_y )
& ( ~ epred2_0
| esk1_0 = v_y
| esk2_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk1_0),v_L) )
& ( ~ epred2_0
| esk1_0 != v_y
| esk2_0 != v_x )
& ( ~ epred2_0
| esk2_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk2_0),v_L)
| esk1_0 != v_y )
& ( ~ epred2_0
| esk1_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,v_x),v_L)
| esk2_0 != v_y )
& ( ~ epred2_0
| esk2_0 = v_y
| esk1_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk2_0),v_L) )
& ( ~ epred2_0
| esk2_0 != v_y
| esk1_0 != v_x )
& ( ~ epred2_0
| esk1_0 != esk2_0 ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_41])])])])]) ).
cnf(c_0_44,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| epred1_2(X1,X2)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,esk25_2(X2,X1)),v_L) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_45,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
| epred1_2(X3,X1)
| epred1_2(X2,X1)
| X1 = v_x ),
inference(spm,[status(thm)],[c_0_42,c_0_13]) ).
cnf(c_0_46,negated_conjecture,
( ~ epred2_0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,esk1_0),v_L)
| esk1_0 = v_y
| esk2_0 = v_y ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_47,negated_conjecture,
( ~ epred2_0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,esk2_0),v_L)
| esk2_0 = v_y
| esk1_0 = v_y ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_48,negated_conjecture,
( ~ epred2_0
| esk1_0 != esk2_0 ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_49,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,esk25_2(X2,X1)),v_L)
| epred1_2(X1,X2) ),
inference(cn,[status(thm)],[c_0_44]) ).
cnf(c_0_50,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,v_x),v_L)
| epred1_2(X2,X1)
| X1 = v_x ),
inference(ef,[status(thm)],[c_0_45]) ).
cnf(c_0_51,negated_conjecture,
( ~ epred2_0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,v_x),v_L)
| esk2_0 != v_y
| esk1_0 = v_y ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_52,negated_conjecture,
( ~ epred2_0
| esk1_0 = v_y
| esk2_0 = v_y ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_46,c_0_27]),c_0_47]),c_0_48]) ).
cnf(c_0_53,negated_conjecture,
( ~ epred2_0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk1_0),v_L)
| esk2_0 != v_y
| esk1_0 = v_y ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_54,negated_conjecture,
( ~ epred2_0
| esk2_0 != v_y
| esk1_0 != v_x ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_55,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk25_2(X2,X1)),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_56,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,esk25_2(X3,X2)),v_L)
| epred1_2(X2,X3)
| epred1_2(X2,X1)
| X1 = v_x ),
inference(spm,[status(thm)],[c_0_49,c_0_50]) ).
cnf(c_0_57,negated_conjecture,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk1_0,v_x),v_L)
| ~ epred2_0
| esk1_0 = v_y ),
inference(spm,[status(thm)],[c_0_51,c_0_52]) ).
cnf(c_0_58,negated_conjecture,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk1_0),v_L)
| ~ epred2_0
| esk1_0 = v_y ),
inference(spm,[status(thm)],[c_0_53,c_0_52]) ).
cnf(c_0_59,negated_conjecture,
( ~ epred2_0
| esk1_0 != v_x
| esk1_0 = v_y ),
inference(spm,[status(thm)],[c_0_54,c_0_52]) ).
cnf(c_0_60,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk25_2(X2,X1)),v_L)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| epred1_2(X1,X2) ),
inference(cn,[status(thm)],[c_0_55]) ).
cnf(c_0_61,hypothesis,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,X3),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X4,esk25_2(X3,X2)),v_L)
| epred1_2(X2,X1)
| epred1_2(X2,X3)
| X1 = v_x ),
inference(spm,[status(thm)],[c_0_25,c_0_56]) ).
cnf(c_0_62,negated_conjecture,
( ~ epred2_0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_x),v_L)
| esk1_0 != v_y
| esk2_0 = v_y ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_63,hypothesis,
( ~ epred2_0
| esk1_0 = v_y ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_57,c_0_27]),c_0_58]),c_0_59]) ).
cnf(c_0_64,negated_conjecture,
( ~ epred2_0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk2_0),v_L)
| esk1_0 != v_y
| esk2_0 = v_y ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_65,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,esk25_2(X3,X2)),v_L)
| epred1_2(X2,X3)
| epred1_2(X2,X1)
| X1 = v_x ),
inference(spm,[status(thm)],[c_0_60,c_0_50]) ).
cnf(c_0_66,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,esk25_2(X3,X4)),v_L)
| epred1_2(X4,X3)
| epred1_2(X4,X1)
| epred1_2(X2,X3)
| X1 = v_x ),
inference(spm,[status(thm)],[c_0_61,c_0_13]) ).
cnf(c_0_67,negated_conjecture,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk2_0,v_x),v_L)
| ~ epred2_0
| esk2_0 = v_y ),
inference(spm,[status(thm)],[c_0_62,c_0_63]) ).
cnf(c_0_68,negated_conjecture,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk2_0),v_L)
| ~ epred2_0
| esk2_0 = v_y ),
inference(spm,[status(thm)],[c_0_64,c_0_63]) ).
fof(c_0_69,plain,
( ! [X3,X36] :
( ( ( X36 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X36),v_L)
& X3 = v_y )
=> ! [X35] :
( ( X35 = v_y
=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,v_x),v_L) )
& ( ( X35 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X36,X35),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L) )
& ( X36 = v_x
=> X35 != v_y ) ) )
& ( ( X3 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,v_x),v_L)
& X36 = v_y )
=> ! [X35] :
( ( X35 != v_y
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,X35),v_L) )
=> c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X35),v_L) ) )
& epred1_2(X3,X36) )
=> epred2_0 ),
inference(apply_def,[status(thm)],[inference(split_equiv,[status(thm)],[c_0_39]),c_0_6]) ).
cnf(c_0_70,plain,
( epred1_2(X3,X2)
| epred1_2(X3,X4)
| epred1_2(X3,X1)
| X2 = v_x
| X1 = v_x ),
inference(spm,[status(thm)],[c_0_65,c_0_66]) ).
cnf(c_0_71,hypothesis,
( ~ epred2_0
| esk2_0 = v_y
| esk2_0 = v_x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_67,c_0_27]),c_0_68]) ).
fof(c_0_72,plain,
( ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| esk30_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| esk30_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| esk30_0 = v_y
| esk30_0 != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| esk30_0 = v_y
| esk30_0 != v_y
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| esk30_0 = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| esk30_0 = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| esk28_0 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| esk28_0 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| esk28_0 = v_x
| esk30_0 != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| esk28_0 = v_x
| esk30_0 != v_y
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| esk28_0 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| esk28_0 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| esk28_0 != v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk28_0),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| esk27_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk29_0 != v_y
| esk30_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk29_0 != v_y
| esk30_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk29_0 != v_y
| esk30_0 = v_y
| esk30_0 != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk29_0 != v_y
| esk30_0 = v_y
| esk30_0 != v_y
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk29_0 != v_y
| esk30_0 = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk29_0 != v_y
| esk30_0 = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk29_0 != v_y
| esk28_0 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk29_0 != v_y
| esk28_0 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk29_0 != v_y
| esk28_0 = v_x
| esk30_0 != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk29_0 != v_y
| esk28_0 = v_x
| esk30_0 != v_y
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk29_0 != v_y
| esk28_0 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk29_0 != v_y
| esk28_0 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk29_0 != v_y
| esk28_0 != v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk29_0 != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk28_0),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk29_0 != v_y
| esk27_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk30_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk30_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk30_0 = v_y
| esk30_0 != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk30_0 = v_y
| esk30_0 != v_y
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk30_0 = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk30_0 = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk28_0 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk28_0 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk28_0 = v_x
| esk30_0 != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk28_0 = v_x
| esk30_0 != v_y
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk28_0 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk28_0 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk28_0 != v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk28_0),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk27_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| esk30_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| esk30_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| esk30_0 = v_y
| esk30_0 != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| esk30_0 = v_y
| esk30_0 != v_y
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| esk30_0 = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| esk30_0 = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| esk28_0 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| esk28_0 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| esk28_0 = v_x
| esk30_0 != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| esk28_0 = v_x
| esk30_0 != v_y
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| esk28_0 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| esk28_0 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| esk28_0 != v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk28_0),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| esk27_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk30_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk30_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk30_0 = v_y
| esk30_0 != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk30_0 = v_y
| esk30_0 != v_y
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk30_0 = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk30_0 = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk28_0 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk28_0 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk28_0 = v_x
| esk30_0 != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk28_0 = v_x
| esk30_0 != v_y
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk28_0 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk28_0 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk28_0 != v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk28_0),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk27_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk28_0 = v_y
| esk30_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk28_0 = v_y
| esk30_0 = v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk28_0 = v_y
| esk30_0 = v_y
| esk30_0 != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk28_0 = v_y
| esk30_0 = v_y
| esk30_0 != v_y
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk28_0 = v_y
| esk30_0 = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk28_0 = v_y
| esk30_0 = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk28_0 = v_y
| esk28_0 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk28_0 = v_y
| esk28_0 = v_x
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk28_0 = v_y
| esk28_0 = v_x
| esk30_0 != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk28_0 = v_y
| esk28_0 = v_x
| esk30_0 != v_y
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk28_0 = v_y
| esk28_0 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk28_0 = v_y
| esk28_0 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| esk30_0 = v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk28_0 = v_y
| esk28_0 != v_y )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk28_0 = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk28_0),v_L) )
& ( epred2_0
| ~ epred1_2(esk27_0,esk28_0)
| esk28_0 = v_y
| esk27_0 = v_y ) ),
inference(distribute,[status(thm)],[inference(fof_nnf,[status(thm)],[inference(skolemize,[status(esa)],[inference(variable_rename,[status(thm)],[inference(fof_nnf,[status(thm)],[c_0_69])])])])]) ).
cnf(c_0_73,plain,
( epred1_2(X2,X3)
| epred1_2(X2,X1)
| X1 = v_x ),
inference(ef,[status(thm)],[c_0_70]) ).
cnf(c_0_74,negated_conjecture,
( ~ epred2_0
| esk1_0 != v_y
| esk2_0 != v_x ),
inference(split_conjunct,[status(thm)],[c_0_43]) ).
cnf(c_0_75,negated_conjecture,
( ~ epred2_0
| esk2_0 = v_x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_48,c_0_71]),c_0_63]) ).
cnf(c_0_76,plain,
( ~ epred1_2(esk27_0,esk28_0)
| epred2_0
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk27_0 = v_y ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_77,plain,
( epred1_2(X2,X1)
| X1 = v_x ),
inference(ef,[status(thm)],[c_0_73]) ).
cnf(c_0_78,negated_conjecture,
~ epred2_0,
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_74,c_0_75]),c_0_63]) ).
cnf(c_0_79,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk29_0),v_L)
| esk27_0 = v_y
| esk28_0 = v_x ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_76,c_0_77]),c_0_78]) ).
cnf(c_0_80,plain,
( ~ epred1_2(esk27_0,esk28_0)
| epred2_0
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk27_0 = v_y ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_81,plain,
( ~ epred1_2(esk27_0,esk28_0)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| epred2_0
| esk27_0 = v_y ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_82,plain,
( ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| epred2_0
| esk30_0 = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| esk30_0 = v_y ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_83,hypothesis,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk29_0),v_L)
| esk28_0 = v_x
| esk27_0 = v_y ),
inference(spm,[status(thm)],[c_0_25,c_0_79]) ).
cnf(c_0_84,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,v_x),v_L)
| esk27_0 = v_y
| esk28_0 = v_x ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_80,c_0_77]),c_0_78]) ).
cnf(c_0_85,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk27_0,esk29_0),v_L)
| esk27_0 = v_y
| esk28_0 = v_x ),
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_81,c_0_77]),c_0_78]) ).
cnf(c_0_86,plain,
( X1 != v_y
| epred1_2(X1,X2) ),
inference(split_conjunct,[status(thm)],[c_0_10]) ).
cnf(c_0_87,plain,
( ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| epred2_0
| esk30_0 = v_y ),
inference(cn,[status(thm)],[c_0_82]) ).
cnf(c_0_88,plain,
( esk27_0 = v_y
| esk28_0 = v_x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_83,c_0_84]),c_0_85]) ).
cnf(c_0_89,plain,
epred1_2(v_y,X1),
inference(er,[status(thm)],[c_0_86]) ).
cnf(c_0_90,plain,
( ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| epred2_0
| esk30_0 = v_y
| esk30_0 = v_y ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_91,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,esk30_0),v_L)
| esk30_0 = v_y
| esk28_0 = v_x ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_87,c_0_88]),c_0_89])]),c_0_78]) ).
cnf(c_0_92,plain,
( ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| epred2_0
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk28_0),v_L) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_93,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| epred2_0
| esk30_0 = v_y ),
inference(cn,[status(thm)],[c_0_90]) ).
cnf(c_0_94,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,esk25_2(X2,X1)),v_L)
| epred1_2(X1,X2)
| epred1_2(X1,v_x) ),
inference(spm,[status(thm)],[c_0_49,c_0_13]) ).
cnf(c_0_95,hypothesis,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk28_0),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk30_0),v_L)
| esk28_0 = v_x
| esk30_0 = v_y ),
inference(spm,[status(thm)],[c_0_25,c_0_91]) ).
cnf(c_0_96,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk28_0),v_L)
| esk28_0 = v_x ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_92,c_0_88]),c_0_89])]),c_0_78]) ).
cnf(c_0_97,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk30_0),v_L)
| esk30_0 = v_y
| esk28_0 = v_x ),
inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(spm,[status(thm)],[c_0_93,c_0_88]),c_0_89])]),c_0_78]) ).
cnf(c_0_98,hypothesis,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,X2),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X3,esk25_2(X2,X1)),v_L)
| epred1_2(X1,X2)
| epred1_2(X1,v_x) ),
inference(spm,[status(thm)],[c_0_25,c_0_94]) ).
cnf(c_0_99,plain,
( ~ epred1_2(esk27_0,esk28_0)
| esk27_0 != v_y
| esk30_0 != v_y
| epred2_0
| esk28_0 = v_x
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_100,plain,
( esk30_0 = v_y
| esk28_0 = v_x ),
inference(csr,[status(thm)],[inference(spm,[status(thm)],[c_0_95,c_0_96]),c_0_97]) ).
cnf(c_0_101,plain,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk25_2(X2,X1)),v_L)
| epred1_2(X1,X2)
| epred1_2(X1,v_x) ),
inference(spm,[status(thm)],[c_0_60,c_0_13]) ).
cnf(c_0_102,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,esk25_2(X3,X1)),v_L)
| epred1_2(X1,X3)
| epred1_2(X2,X3)
| epred1_2(X1,v_x) ),
inference(spm,[status(thm)],[c_0_98,c_0_13]) ).
fof(c_0_103,hypothesis,
v_x != v_y,
inference(fof_simplification,[status(thm)],[conj_0]) ).
cnf(c_0_104,hypothesis,
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,v_x),v_L)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X1,esk28_0),v_L)
| esk28_0 = v_x ),
inference(spm,[status(thm)],[c_0_25,c_0_96]) ).
cnf(c_0_105,plain,
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,esk28_0,v_x),v_L)
| esk28_0 = v_x ),
inference(csr,[status(thm)],[inference(csr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_99,c_0_100]),c_0_78]),c_0_77]),c_0_88]) ).
cnf(c_0_106,plain,
( epred1_2(X1,X2)
| epred1_2(X1,v_x) ),
inference(spm,[status(thm)],[c_0_101,c_0_102]) ).
fof(c_0_107,hypothesis,
v_x != v_y,
inference(fof_nnf,[status(thm)],[c_0_103]) ).
cnf(c_0_108,plain,
( ~ epred1_2(esk27_0,esk28_0)
| epred2_0
| esk28_0 = v_y
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,esk28_0),v_L) ),
inference(split_conjunct,[status(thm)],[c_0_72]) ).
cnf(c_0_109,hypothesis,
esk28_0 = v_x,
inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_104,c_0_105]),c_0_30]) ).
cnf(c_0_110,plain,
epred1_2(X1,v_x),
inference(ef,[status(thm)],[c_0_106]) ).
cnf(c_0_111,hypothesis,
v_x != v_y,
inference(split_conjunct,[status(thm)],[c_0_107]) ).
cnf(c_0_112,plain,
$false,
inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(cn,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_108,c_0_109]),c_0_109]),c_0_109]),c_0_110])]),c_0_111]),c_0_78]),c_0_30]),
[proof] ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SCT117+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.17/0.43 % Computer : n005.cluster.edu
% 0.17/0.43 % Model : x86_64 x86_64
% 0.17/0.43 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.17/0.43 % Memory : 8046.5625MB
% 0.17/0.43 % OS : Linux 6.8.0-71-generic
% 0.17/0.43 % CPULimit : 300
% 0.17/0.43 % WCLimit : 300
% 0.17/0.43 % DateTime : Mon Sep 21 04:32:32 UTC 2026
% 0.17/0.44 % CPUTime :
% 0.17/0.44 Running run_E /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.25/0.51 Running first-order theorem proving
% 0.25/0.51 Running: /export/starexec/sandbox2/solver/bin/eprover --delete-bad-limit=2000000000 --definitional-cnf=24 -s --print-statistics -R --print-version --proof-object --auto-schedule=8 --cpu-limit=300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 260.52/38.45 % Version: 3.5.1
% 260.52/38.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 260.52/38.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 260.52/38.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 260.52/38.45 % Starting new_bool_3 with 300s (1) cores
% 260.52/38.45 % Starting new_bool_1 with 300s (1) cores
% 260.52/38.45 % Starting sh5l with 300s (1) cores
% 260.52/38.45 % new_bool_1 with pid 2554803 completed with status 0
% 260.52/38.45 % Result found by new_bool_1
% 260.52/38.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 260.52/38.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 260.52/38.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 260.52/38.45 % Starting new_bool_3 with 300s (1) cores
% 260.52/38.45 % Starting new_bool_1 with 300s (1) cores
% 260.52/38.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 260.52/38.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 260.52/38.45 % Search class: FGHSM-FSLF33-MFFFFFNN
% 260.52/38.45 % partial match(1): FGHSM-FSLM33-MFFFFFNN
% 260.52/38.45 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 260.52/38.45 % Starting SubtermCWHack with 28s (1) cores
% 260.52/38.45 % SubtermCWHack with pid 2554805 completed with status 8
% 260.52/38.45 % Starting new_bool_1 with 31s (1) cores
% 260.52/38.45 % new_bool_1 with pid 2555207 completed with status 0
% 260.52/38.45 % Result found by new_bool_1
% 260.52/38.45 % Preprocessing class: FSLSSMSMSSSNFFN.
% 260.52/38.45 % Scheduled 4 strats onto 8 cores with 300 seconds (2400 total)
% 260.52/38.45 % Starting C07_19_nc_SOS_SAT001_MinMin_p005000_rr with 1500s (5) cores
% 260.52/38.45 % Starting new_bool_3 with 300s (1) cores
% 260.52/38.45 % Starting new_bool_1 with 300s (1) cores
% 260.52/38.45 % (lift_lambdas = 0, lambda_to_forall = 0,unroll_only_formulas = 0, sine = GSinE(CountFormulas,hypos,1.5,,3,20000,1.0))
% 260.52/38.45 % SinE strategy is GSinE(CountFormulas,hypos,1.5,,3,20000,1.0)
% 260.52/38.45 % Search class: FGHSM-FSLF33-MFFFFFNN
% 260.52/38.45 % partial match(1): FGHSM-FSLM33-MFFFFFNN
% 260.52/38.45 % Scheduled 7 strats onto 1 cores with 300 seconds (300 total)
% 260.52/38.45 % Starting SubtermCWHack with 28s (1) cores
% 260.52/38.45 % SubtermCWHack with pid 2554805 completed with status 8
% 260.52/38.45 % Starting new_bool_1 with 31s (1) cores
% 260.52/38.45 % Preprocessing time : 0.010 s
% 260.52/38.45 % Presaturation interreduction done
% 260.52/38.45
% 260.52/38.45 % Proof found!
% 260.52/38.45 % SZS status Theorem
% 260.52/38.45 % SZS output start CNFRefutation
% See solution above
% 260.52/38.46 % Parsed axioms : 528
% 260.52/38.46 % Removed by relevancy pruning/SinE : 410
% 260.52/38.46 % Initial clauses : 313
% 260.52/38.46 % Removed in clause preprocessing : 32
% 260.52/38.46 % Initial clauses in saturation : 281
% 260.52/38.46 % Processed clauses : 10791
% 260.52/38.46 % ...of these trivial : 148
% 260.52/38.46 % ...subsumed : 6834
% 260.52/38.46 % ...remaining for further processing : 3809
% 260.52/38.46 % Other redundant clauses eliminated : 204
% 260.52/38.46 % Clauses deleted for lack of memory : 0
% 260.52/38.46 % Backward-subsumed : 1444
% 260.52/38.46 % Backward-rewritten : 1063
% 260.52/38.46 % Generated clauses : 166921
% 260.52/38.46 % ...of the previous two non-redundant : 153527
% 260.52/38.46 % ...aggressively subsumed : 0
% 260.52/38.46 % Contextual simplify-reflections : 43
% 260.52/38.46 % Paramodulations : 165950
% 260.52/38.46 % Factorizations : 761
% 260.52/38.46 % NegExts : 0
% 260.52/38.46 % Equation resolutions : 211
% 260.52/38.46 % Disequality decompositions : 0
% 260.52/38.46 % Total rewrite steps : 36107
% 260.52/38.46 % ...of those cached : 34204
% 260.52/38.46 % Propositional unsat checks : 0
% 260.52/38.46 % Propositional check models : 0
% 260.52/38.46 % Propositional check unsatisfiable : 0
% 260.52/38.46 % Propositional clauses : 0
% 260.52/38.46 % Propositional clauses after purity: 0
% 260.52/38.46 % Propositional unsat core size : 0
% 260.52/38.46 % Propositional preprocessing time : 0.000
% 260.52/38.46 % Propositional encoding time : 0.000
% 260.52/38.46 % Propositional solver time : 0.000
% 260.52/38.46 % Success case prop preproc time : 0.000
% 260.52/38.46 % Success case prop encoding time : 0.000
% 260.52/38.46 % Success case prop solver time : 0.000
% 260.52/38.46 % Current number of processed clauses : 1080
% 260.52/38.46 % Positive orientable unit clauses : 126
% 260.52/38.46 % Positive unorientable unit clauses: 4
% 260.52/38.46 % Negative unit clauses : 14
% 260.52/38.46 % Non-unit-clauses : 936
% 260.52/38.46 % Current number of unprocessed clauses: 139485
% 260.52/38.46 % ...number of literals in the above : 663524
% 260.52/38.46 % Current number of archived formulas : 0
% 260.52/38.46 % Current number of archived clauses : 2702
% 260.52/38.46 % Clause-clause subsumption calls (NU) : 860890
% 260.52/38.46 % Rec. Clause-clause subsumption calls : 240329
% 260.52/38.46 % Non-unit clause-clause subsumptions : 8228
% 260.52/38.46 % Unit Clause-clause subsumption calls : 4346
% 260.52/38.46 % Rewrite failures with RHS unbound : 0
% 260.52/38.46 % BW rewrite match attempts : 6009
% 260.52/38.46 % BW rewrite match successes : 105
% 260.52/38.46 % Condensation attempts : 0
% 260.52/38.46 % Condensation successes : 0
% 260.52/38.46 % Termbank termtop insertions : 5150767
% 260.52/38.46 % Search garbage collected termcells : 6747
% 260.52/38.46
% 260.52/38.46 % -------------------------------------------------
% 260.52/38.46 % User time : 36.206 s
% 260.52/38.46 % System time : 0.838 s
% 260.52/38.46 % Total time : 37.044 s
% 260.52/38.46 % Maximum resident set size: 5056 pages
% 260.52/38.46
% 260.52/38.46 % -------------------------------------------------
% 260.52/38.46 % User time : 36.241 s
% 260.52/38.46 % System time : 0.849 s
% 260.52/38.46 % Total time : 37.090 s
% 260.52/38.46 % Maximum resident set size: 5632 pages
% 260.52/38.46 % E exiting
%------------------------------------------------------------------------------