TSTP Solution File: SCT117+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : SCT117+1 : TPTP v8.1.2. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Aug 31 14:17:36 EDT 2023
% Result : Timeout 297.23s 39.87s
% Output : None
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named f2883)
% Comments :
%------------------------------------------------------------------------------
fof(f527,axiom,
( ! [X2,X35] :
( X2 != 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,X35,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,X2,X35),v_L) ) )
& ! [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,X2),v_L)
& ! [X2,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,X2,X35),v_L)
=> ! [X34] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X34),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,X34),v_L) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f528,conjecture,
( ! [X2,X35] :
( X2 != X35
=> ( ( v_y != 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,v_x,X2),v_L)
& v_y = X35 )
| ( v_y != 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,X35,v_x),v_L)
& v_y = X2 )
| ( v_y != X2
& v_y != 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,X35,X2),v_L) )
| ( v_y = X2
& v_x = X35 )
| ( v_y != 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,v_x,X35),v_L)
& v_y = X2 )
| ( v_y != 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,v_x),v_L)
& v_y = X35 )
| ( v_y != X35
& v_y != 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,X35),v_L) )
| ( v_y = X35
& v_x = X2 ) ) )
& ! [X2,X35] :
( ( ( v_y != 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,v_x,X35),v_L)
& v_y = X2 )
=> ! [X34] :
( ( v_y = X34
=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L) )
& ( ( v_y != X34
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X34),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,X34),v_L) )
& ( v_x = X35
=> v_y != X34 ) ) )
& ( ( v_y != 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,v_x),v_L)
& v_y = X35 )
=> ! [X34] :
( ( v_y != X34
& c_member(tc_prod(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,X34),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,X34),v_L) ) )
& ( ( v_y != X35
& v_y != 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,X35),v_L) )
=> ! [X34] :
( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L)
& v_y = X34 )
=> ( c_member(tc_prod(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)
| v_x = X2 ) )
& ( ( v_y != X34
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X34),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,X34),v_L) )
& ( ( v_y = X34
& v_x = 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,X2,v_x),v_L)
| v_x = X2 ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(f529,negated_conjecture,
~ ( ! [X2,X35] :
( X2 != X35
=> ( ( v_y != 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,v_x,X2),v_L)
& v_y = X35 )
| ( v_y != 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,X35,v_x),v_L)
& v_y = X2 )
| ( v_y != X2
& v_y != 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,X35,X2),v_L) )
| ( v_y = X2
& v_x = X35 )
| ( v_y != 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,v_x,X35),v_L)
& v_y = X2 )
| ( v_y != 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,v_x),v_L)
& v_y = X35 )
| ( v_y != X35
& v_y != 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,X35),v_L) )
| ( v_y = X35
& v_x = X2 ) ) )
& ! [X2,X35] :
( ( ( v_y != 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,v_x,X35),v_L)
& v_y = X2 )
=> ! [X34] :
( ( v_y = X34
=> ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L) )
& ( ( v_y != X34
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X34),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,X34),v_L) )
& ( v_x = X35
=> v_y != X34 ) ) )
& ( ( v_y != 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,v_x),v_L)
& v_y = X35 )
=> ! [X34] :
( ( v_y != X34
& c_member(tc_prod(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,X34),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,X34),v_L) ) )
& ( ( v_y != X35
& v_y != 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,X35),v_L) )
=> ! [X34] :
( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,v_x),v_L)
& v_y = X34 )
=> ( c_member(tc_prod(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)
| v_x = X2 ) )
& ( ( v_y != X34
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X35,X34),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,X34),v_L) )
& ( ( v_y = X34
& v_x = 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,X2,v_x),v_L)
| v_x = X2 ) ) ) ) ) ),
inference(negated_conjecture,[],[f528]) ).
fof(f1031,plain,
( ! [X0,X1] :
( X0 != X1
=> ( c_member(tc_prod(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,X0),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,X0,X1),v_L) ) )
& ! [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,X2),v_L)
& ! [X3,X4] :
( c_member(tc_prod(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,X4),v_L)
=> ! [X5] :
( c_member(tc_prod(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,X5),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,X5),v_L) ) ) ),
inference(rectify,[],[f527]) ).
fof(f1032,plain,
~ ( ! [X0,X1] :
( X0 != X1
=> ( ( v_y != X0
& c_member(tc_prod(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,X0),v_L)
& v_y = X1 )
| ( v_y != X1
& c_member(tc_prod(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)
& v_y = X0 )
| ( v_y != X0
& v_y != X1
& c_member(tc_prod(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,X0),v_L) )
| ( v_y = X0
& v_x = X1 )
| ( v_y != X1
& c_member(tc_prod(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,X1),v_L)
& v_y = X0 )
| ( v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
& v_y = X1 )
| ( v_y != X1
& v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) )
| ( v_y = X1
& v_x = X0 ) ) )
& ! [X2,X3] :
( ( ( v_y != 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,v_x,X3),v_L)
& v_y = X2 )
=> ! [X4] :
( ( v_y = X4
=> ~ c_member(tc_prod(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) )
& ( ( v_y != X4
& c_member(tc_prod(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,X4),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,X4),v_L) )
& ( v_x = X3
=> v_y != X4 ) ) )
& ( ( v_y != 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,v_x),v_L)
& v_y = X3 )
=> ! [X5] :
( ( v_y != X5
& c_member(tc_prod(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,X5),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,X5),v_L) ) )
& ( ( v_y != X3
& v_y != 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,X3),v_L) )
=> ! [X6] :
( ( ( c_member(tc_prod(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)
& v_y = X6 )
=> ( c_member(tc_prod(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)
| v_x = X2 ) )
& ( ( v_y != X6
& c_member(tc_prod(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,X6),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,X6),v_L) )
& ( ( v_y = X6
& v_x = 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,X2,v_x),v_L)
| v_x = X2 ) ) ) ) ) ),
inference(rectify,[],[f529]) ).
fof(f1519,plain,
( ! [X0,X1] :
( c_member(tc_prod(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,X0),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,X0,X1),v_L)
| X0 = 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,X2),v_L)
& ! [X3,X4] :
( ! [X5] :
( c_member(tc_prod(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,X5),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,X5),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,X4),v_L) ) ),
inference(ennf_transformation,[],[f1031]) ).
fof(f1520,plain,
( ! [X0,X1] :
( c_member(tc_prod(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,X0),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,X0,X1),v_L)
| X0 = 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,X2),v_L)
& ! [X3,X4] :
( ! [X5] :
( c_member(tc_prod(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,X5),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,X5),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,X4),v_L) ) ),
inference(flattening,[],[f1519]) ).
fof(f1521,plain,
( ? [X0,X1] :
( ( v_y = X0
| ~ c_member(tc_prod(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,X0),v_L)
| v_y != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(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)
| v_y != X0 )
& ( v_y = X0
| v_y = X1
| ~ c_member(tc_prod(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,X0),v_L) )
& ( v_y != X0
| v_x != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(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,X1),v_L)
| v_y != X0 )
& ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| v_y != X1 )
& ( v_y = X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) )
& ( v_y != X1
| v_x != X0 )
& X0 != X1 )
| ? [X2,X3] :
( ( ? [X4] :
( ( c_member(tc_prod(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)
& v_y = X4 )
| ( ~ c_member(tc_prod(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,X4),v_L)
& v_y != X4
& c_member(tc_prod(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,X4),v_L) )
| ( v_y = X4
& v_x = X3 ) )
& v_y != 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,v_x,X3),v_L)
& v_y = X2 )
| ( ? [X5] :
( ~ c_member(tc_prod(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,X5),v_L)
& v_y != X5
& c_member(tc_prod(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,X5),v_L) )
& v_y != 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,v_x),v_L)
& v_y = X3 )
| ( ? [X6] :
( ( ~ c_member(tc_prod(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)
& v_x != 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,X3,v_x),v_L)
& v_y = X6 )
| ( ~ c_member(tc_prod(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,X6),v_L)
& v_y != X6
& c_member(tc_prod(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,X6),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)
& v_x != X2
& v_y = X6
& v_x = X3 ) )
& v_y != X3
& v_y != 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,X3),v_L) ) ) ),
inference(ennf_transformation,[],[f1032]) ).
fof(f1522,plain,
( ? [X0,X1] :
( ( v_y = X0
| ~ c_member(tc_prod(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,X0),v_L)
| v_y != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(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)
| v_y != X0 )
& ( v_y = X0
| v_y = X1
| ~ c_member(tc_prod(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,X0),v_L) )
& ( v_y != X0
| v_x != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(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,X1),v_L)
| v_y != X0 )
& ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| v_y != X1 )
& ( v_y = X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) )
& ( v_y != X1
| v_x != X0 )
& X0 != X1 )
| ? [X2,X3] :
( ( ? [X4] :
( ( c_member(tc_prod(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)
& v_y = X4 )
| ( ~ c_member(tc_prod(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,X4),v_L)
& v_y != X4
& c_member(tc_prod(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,X4),v_L) )
| ( v_y = X4
& v_x = X3 ) )
& v_y != 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,v_x,X3),v_L)
& v_y = X2 )
| ( ? [X5] :
( ~ c_member(tc_prod(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,X5),v_L)
& v_y != X5
& c_member(tc_prod(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,X5),v_L) )
& v_y != 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,v_x),v_L)
& v_y = X3 )
| ( ? [X6] :
( ( ~ c_member(tc_prod(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)
& v_x != 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,X3,v_x),v_L)
& v_y = X6 )
| ( ~ c_member(tc_prod(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,X6),v_L)
& v_y != X6
& c_member(tc_prod(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,X6),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)
& v_x != X2
& v_y = X6
& v_x = X3 ) )
& v_y != X3
& v_y != 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,X3),v_L) ) ) ),
inference(flattening,[],[f1521]) ).
fof(f1529,plain,
! [X2,X6,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,X2,v_x),v_L)
& v_x != X2
& v_y = X6
& v_x = X3 )
| ~ sP3(X2,X6,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP3])]) ).
fof(f1530,plain,
! [X2,X3,X6] :
( ( ~ c_member(tc_prod(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)
& v_x != 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,X3,v_x),v_L)
& v_y = X6 )
| ~ sP4(X2,X3,X6) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP4])]) ).
fof(f1531,plain,
! [X4,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,v_x,X4),v_L)
& v_y != X4
& c_member(tc_prod(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,X4),v_L) )
| ~ sP5(X4,X3) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP5])]) ).
fof(f1532,plain,
! [X3,X2] :
( ( ? [X4] :
( ( c_member(tc_prod(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)
& v_y = X4 )
| sP5(X4,X3)
| ( v_y = X4
& v_x = X3 ) )
& v_y != 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,v_x,X3),v_L)
& v_y = X2 )
| ~ sP6(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP6])]) ).
fof(f1533,plain,
! [X3,X2] :
( ( ? [X6] :
( sP4(X2,X3,X6)
| ( ~ c_member(tc_prod(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,X6),v_L)
& v_y != X6
& c_member(tc_prod(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,X6),v_L) )
| sP3(X2,X6,X3) )
& v_y != X3
& v_y != 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,X3),v_L) )
| ~ sP7(X3,X2) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP7])]) ).
fof(f1534,plain,
( ? [X0,X1] :
( ( v_y = X0
| ~ c_member(tc_prod(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,X0),v_L)
| v_y != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(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)
| v_y != X0 )
& ( v_y = X0
| v_y = X1
| ~ c_member(tc_prod(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,X0),v_L) )
& ( v_y != X0
| v_x != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(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,X1),v_L)
| v_y != X0 )
& ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| v_y != X1 )
& ( v_y = X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) )
& ( v_y != X1
| v_x != X0 )
& X0 != X1 )
| ~ sP8 ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP8])]) ).
fof(f1535,plain,
( sP8
| ? [X2,X3] :
( sP6(X3,X2)
| ( ? [X5] :
( ~ c_member(tc_prod(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,X5),v_L)
& v_y != X5
& c_member(tc_prod(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,X5),v_L) )
& v_y != 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,v_x),v_L)
& v_y = X3 )
| sP7(X3,X2) ) ),
inference(definition_folding,[],[f1522,f1534,f1533,f1532,f1531,f1530,f1529]) ).
fof(f1837,plain,
( ? [X0,X1] :
( ( v_y = X0
| ~ c_member(tc_prod(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,X0),v_L)
| v_y != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(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)
| v_y != X0 )
& ( v_y = X0
| v_y = X1
| ~ c_member(tc_prod(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,X0),v_L) )
& ( v_y != X0
| v_x != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(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,X1),v_L)
| v_y != X0 )
& ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| v_y != X1 )
& ( v_y = X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) )
& ( v_y != X1
| v_x != X0 )
& X0 != X1 )
| ~ sP8 ),
inference(nnf_transformation,[],[f1534]) ).
fof(f1838,plain,
( ? [X0,X1] :
( ( v_y = X0
| ~ c_member(tc_prod(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,X0),v_L)
| v_y != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(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)
| v_y != X0 )
& ( v_y = X0
| v_y = X1
| ~ c_member(tc_prod(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,X0),v_L) )
& ( v_y != X0
| v_x != X1 )
& ( v_y = X1
| ~ c_member(tc_prod(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,X1),v_L)
| v_y != X0 )
& ( v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| v_y != X1 )
& ( v_y = X1
| v_y = X0
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1),v_L) )
& ( v_y != X1
| v_x != X0 )
& X0 != X1 )
=> ( ( v_y = sK100
| ~ c_member(tc_prod(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,sK100),v_L)
| v_y != sK101 )
& ( v_y = sK101
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK101,v_x),v_L)
| v_y != sK100 )
& ( v_y = sK100
| v_y = sK101
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK101,sK100),v_L) )
& ( v_y != sK100
| v_x != sK101 )
& ( v_y = sK101
| ~ c_member(tc_prod(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,sK101),v_L)
| v_y != sK100 )
& ( v_y = sK100
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK100,v_x),v_L)
| v_y != sK101 )
& ( v_y = sK101
| v_y = sK100
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK100,sK101),v_L) )
& ( v_y != sK101
| v_x != sK100 )
& sK100 != sK101 ) ),
introduced(choice_axiom,[]) ).
fof(f1839,plain,
( ( ( v_y = sK100
| ~ c_member(tc_prod(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,sK100),v_L)
| v_y != sK101 )
& ( v_y = sK101
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK101,v_x),v_L)
| v_y != sK100 )
& ( v_y = sK100
| v_y = sK101
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK101,sK100),v_L) )
& ( v_y != sK100
| v_x != sK101 )
& ( v_y = sK101
| ~ c_member(tc_prod(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,sK101),v_L)
| v_y != sK100 )
& ( v_y = sK100
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK100,v_x),v_L)
| v_y != sK101 )
& ( v_y = sK101
| v_y = sK100
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK100,sK101),v_L) )
& ( v_y != sK101
| v_x != sK100 )
& sK100 != sK101 )
| ~ sP8 ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK100,sK101])],[f1837,f1838]) ).
fof(f1840,plain,
! [X3,X2] :
( ( ? [X6] :
( sP4(X2,X3,X6)
| ( ~ c_member(tc_prod(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,X6),v_L)
& v_y != X6
& c_member(tc_prod(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,X6),v_L) )
| sP3(X2,X6,X3) )
& v_y != X3
& v_y != 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,X3),v_L) )
| ~ sP7(X3,X2) ),
inference(nnf_transformation,[],[f1533]) ).
fof(f1841,plain,
! [X0,X1] :
( ( ? [X2] :
( sP4(X1,X0,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)
& v_y != 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,X0,X2),v_L) )
| sP3(X1,X2,X0) )
& v_y != X0
& v_y != X1
& c_member(tc_prod(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,X0),v_L) )
| ~ sP7(X0,X1) ),
inference(rectify,[],[f1840]) ).
fof(f1842,plain,
! [X0,X1] :
( ? [X2] :
( sP4(X1,X0,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)
& v_y != 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,X0,X2),v_L) )
| sP3(X1,X2,X0) )
=> ( sP4(X1,X0,sK102(X0,X1))
| ( ~ c_member(tc_prod(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,sK102(X0,X1)),v_L)
& v_y != sK102(X0,X1)
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK102(X0,X1)),v_L) )
| sP3(X1,sK102(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f1843,plain,
! [X0,X1] :
( ( ( sP4(X1,X0,sK102(X0,X1))
| ( ~ c_member(tc_prod(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,sK102(X0,X1)),v_L)
& v_y != sK102(X0,X1)
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK102(X0,X1)),v_L) )
| sP3(X1,sK102(X0,X1),X0) )
& v_y != X0
& v_y != X1
& c_member(tc_prod(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,X0),v_L) )
| ~ sP7(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK102])],[f1841,f1842]) ).
fof(f1844,plain,
! [X3,X2] :
( ( ? [X4] :
( ( c_member(tc_prod(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)
& v_y = X4 )
| sP5(X4,X3)
| ( v_y = X4
& v_x = X3 ) )
& v_y != 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,v_x,X3),v_L)
& v_y = X2 )
| ~ sP6(X3,X2) ),
inference(nnf_transformation,[],[f1532]) ).
fof(f1845,plain,
! [X0,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,X0,v_x),v_L)
& v_y = X2 )
| sP5(X2,X0)
| ( v_y = X2
& v_x = X0 ) )
& v_y != X0
& c_member(tc_prod(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,X0),v_L)
& v_y = X1 )
| ~ sP6(X0,X1) ),
inference(rectify,[],[f1844]) ).
fof(f1846,plain,
! [X0] :
( ? [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,X0,v_x),v_L)
& v_y = X2 )
| sP5(X2,X0)
| ( v_y = X2
& v_x = X0 ) )
=> ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
& v_y = sK103(X0) )
| sP5(sK103(X0),X0)
| ( v_y = sK103(X0)
& v_x = X0 ) ) ),
introduced(choice_axiom,[]) ).
fof(f1847,plain,
! [X0,X1] :
( ( ( ( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
& v_y = sK103(X0) )
| sP5(sK103(X0),X0)
| ( v_y = sK103(X0)
& v_x = X0 ) )
& v_y != X0
& c_member(tc_prod(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,X0),v_L)
& v_y = X1 )
| ~ sP6(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK103])],[f1845,f1846]) ).
fof(f1848,plain,
! [X4,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,v_x,X4),v_L)
& v_y != X4
& c_member(tc_prod(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,X4),v_L) )
| ~ sP5(X4,X3) ),
inference(nnf_transformation,[],[f1531]) ).
fof(f1849,plain,
! [X0,X1] :
( ( ~ c_member(tc_prod(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,X0),v_L)
& v_y != X0
& c_member(tc_prod(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,X0),v_L) )
| ~ sP5(X0,X1) ),
inference(rectify,[],[f1848]) ).
fof(f1850,plain,
! [X2,X3,X6] :
( ( ~ c_member(tc_prod(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)
& v_x != 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,X3,v_x),v_L)
& v_y = X6 )
| ~ sP4(X2,X3,X6) ),
inference(nnf_transformation,[],[f1530]) ).
fof(f1851,plain,
! [X0,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,X0,v_x),v_L)
& v_x != X0
& c_member(tc_prod(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)
& v_y = X2 )
| ~ sP4(X0,X1,X2) ),
inference(rectify,[],[f1850]) ).
fof(f1852,plain,
! [X2,X6,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,X2,v_x),v_L)
& v_x != X2
& v_y = X6
& v_x = X3 )
| ~ sP3(X2,X6,X3) ),
inference(nnf_transformation,[],[f1529]) ).
fof(f1853,plain,
! [X0,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,X0,v_x),v_L)
& v_x != X0
& v_y = X1
& v_x = X2 )
| ~ sP3(X0,X1,X2) ),
inference(rectify,[],[f1852]) ).
fof(f1854,plain,
( sP8
| ? [X0,X1] :
( sP6(X1,X0)
| ( ? [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,X0,X2),v_L)
& v_y != 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,v_x,X2),v_L) )
& v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
& v_y = X1 )
| sP7(X1,X0) ) ),
inference(rectify,[],[f1535]) ).
fof(f1855,plain,
( ? [X0,X1] :
( sP6(X1,X0)
| ( ? [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,X0,X2),v_L)
& v_y != 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,v_x,X2),v_L) )
& v_y != X0
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
& v_y = X1 )
| sP7(X1,X0) )
=> ( sP6(sK105,sK104)
| ( ? [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,sK104,X2),v_L)
& v_y != 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,v_x,X2),v_L) )
& v_y != sK104
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK104,v_x),v_L)
& v_y = sK105 )
| sP7(sK105,sK104) ) ),
introduced(choice_axiom,[]) ).
fof(f1856,plain,
( ? [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,sK104,X2),v_L)
& v_y != 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,v_x,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,sK104,sK106),v_L)
& v_y != sK106
& c_member(tc_prod(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,sK106),v_L) ) ),
introduced(choice_axiom,[]) ).
fof(f1857,plain,
( sP8
| sP6(sK105,sK104)
| ( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK104,sK106),v_L)
& v_y != sK106
& c_member(tc_prod(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,sK106),v_L)
& v_y != sK104
& c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK104,v_x),v_L)
& v_y = sK105 )
| sP7(sK105,sK104) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK104,sK105,sK106])],[f1854,f1856,f1855]) ).
fof(f2660,plain,
! [X3,X4,X5] :
( c_member(tc_prod(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,X5),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,X5),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,X4),v_L) ),
inference(cnf_transformation,[],[f1520]) ).
fof(f2661,plain,
! [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,X2),v_L),
inference(cnf_transformation,[],[f1520]) ).
fof(f2662,plain,
! [X0,X1] :
( c_member(tc_prod(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,X0),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,X0,X1),v_L)
| X0 = X1 ),
inference(cnf_transformation,[],[f1520]) ).
fof(f2663,plain,
( sK100 != sK101
| ~ sP8 ),
inference(cnf_transformation,[],[f1839]) ).
fof(f2664,plain,
( v_y != sK101
| v_x != sK100
| ~ sP8 ),
inference(cnf_transformation,[],[f1839]) ).
fof(f2665,plain,
( v_y = sK101
| v_y = sK100
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK100,sK101),v_L)
| ~ sP8 ),
inference(cnf_transformation,[],[f1839]) ).
fof(f2666,plain,
( v_y = sK100
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK100,v_x),v_L)
| v_y != sK101
| ~ sP8 ),
inference(cnf_transformation,[],[f1839]) ).
fof(f2667,plain,
( v_y = sK101
| ~ c_member(tc_prod(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,sK101),v_L)
| v_y != sK100
| ~ sP8 ),
inference(cnf_transformation,[],[f1839]) ).
fof(f2668,plain,
( v_y != sK100
| v_x != sK101
| ~ sP8 ),
inference(cnf_transformation,[],[f1839]) ).
fof(f2669,plain,
( v_y = sK100
| v_y = sK101
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK101,sK100),v_L)
| ~ sP8 ),
inference(cnf_transformation,[],[f1839]) ).
fof(f2670,plain,
( v_y = sK101
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK101,v_x),v_L)
| v_y != sK100
| ~ sP8 ),
inference(cnf_transformation,[],[f1839]) ).
fof(f2671,plain,
( v_y = sK100
| ~ c_member(tc_prod(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,sK100),v_L)
| v_y != sK101
| ~ sP8 ),
inference(cnf_transformation,[],[f1839]) ).
fof(f2672,plain,
! [X0,X1] :
( c_member(tc_prod(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,X0),v_L)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f1843]) ).
fof(f2675,plain,
! [X0,X1] :
( sP4(X1,X0,sK102(X0,X1))
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK102(X0,X1)),v_L)
| sP3(X1,sK102(X0,X1),X0)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f1843]) ).
fof(f2676,plain,
! [X0,X1] :
( sP4(X1,X0,sK102(X0,X1))
| v_y != sK102(X0,X1)
| sP3(X1,sK102(X0,X1),X0)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f1843]) ).
fof(f2677,plain,
! [X0,X1] :
( sP4(X1,X0,sK102(X0,X1))
| ~ c_member(tc_prod(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,sK102(X0,X1)),v_L)
| sP3(X1,sK102(X0,X1),X0)
| ~ sP7(X0,X1) ),
inference(cnf_transformation,[],[f1843]) ).
fof(f2678,plain,
! [X0,X1] :
( v_y = X1
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f1847]) ).
fof(f2679,plain,
! [X0,X1] :
( c_member(tc_prod(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,X0),v_L)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f1847]) ).
fof(f2680,plain,
! [X0,X1] :
( v_y != X0
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f1847]) ).
fof(f2683,plain,
! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| sP5(sK103(X0),X0)
| v_x = X0
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f1847]) ).
fof(f2684,plain,
! [X0,X1] :
( c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| sP5(sK103(X0),X0)
| v_y = sK103(X0)
| ~ sP6(X0,X1) ),
inference(cnf_transformation,[],[f1847]) ).
fof(f2685,plain,
! [X0,X1] :
( c_member(tc_prod(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,X0),v_L)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f1849]) ).
fof(f2686,plain,
! [X0,X1] :
( v_y != X0
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f1849]) ).
fof(f2687,plain,
! [X0,X1] :
( ~ c_member(tc_prod(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,X0),v_L)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f1849]) ).
fof(f2688,plain,
! [X2,X0,X1] :
( v_y = X2
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f1851]) ).
fof(f2689,plain,
! [X2,X0,X1] :
( c_member(tc_prod(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)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f1851]) ).
fof(f2691,plain,
! [X2,X0,X1] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f1851]) ).
fof(f2692,plain,
! [X2,X0,X1] :
( v_x = X2
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f1853]) ).
fof(f2693,plain,
! [X2,X0,X1] :
( v_y = X1
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f1853]) ).
fof(f2695,plain,
! [X2,X0,X1] :
( ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f1853]) ).
fof(f2696,plain,
( sP8
| sP6(sK105,sK104)
| v_y = sK105
| sP7(sK105,sK104) ),
inference(cnf_transformation,[],[f1857]) ).
fof(f2697,plain,
( sP8
| sP6(sK105,sK104)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK104,v_x),v_L)
| sP7(sK105,sK104) ),
inference(cnf_transformation,[],[f1857]) ).
fof(f2698,plain,
( sP8
| sP6(sK105,sK104)
| v_y != sK104
| sP7(sK105,sK104) ),
inference(cnf_transformation,[],[f1857]) ).
fof(f2699,plain,
( sP8
| sP6(sK105,sK104)
| c_member(tc_prod(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,sK106),v_L)
| sP7(sK105,sK104) ),
inference(cnf_transformation,[],[f1857]) ).
fof(f2701,plain,
( sP8
| sP6(sK105,sK104)
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK104,sK106),v_L)
| sP7(sK105,sK104) ),
inference(cnf_transformation,[],[f1857]) ).
fof(f2874,plain,
! [X1] : ~ sP6(v_y,X1),
inference(equality_resolution,[],[f2680]) ).
fof(f2875,plain,
! [X1] : ~ sP5(v_y,X1),
inference(equality_resolution,[],[f2686]) ).
cnf(c_813,plain,
( X0 = X1
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,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,X0),v_L) ),
inference(cnf_transformation,[],[f2662]) ).
cnf(c_814,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,X0,X0),v_L),
inference(cnf_transformation,[],[f2661]) ).
cnf(c_815,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,X0,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)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X2),v_L) ),
inference(cnf_transformation,[],[f2660]) ).
cnf(c_816,plain,
( v_y != sK101
| ~ c_member(tc_prod(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,sK100),v_L)
| ~ sP8
| v_y = sK100 ),
inference(cnf_transformation,[],[f2671]) ).
cnf(c_817,plain,
( v_y != sK100
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK101,v_x),v_L)
| ~ sP8
| v_y = sK101 ),
inference(cnf_transformation,[],[f2670]) ).
cnf(c_818,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,sK101,sK100),v_L)
| ~ sP8
| v_y = sK100
| v_y = sK101 ),
inference(cnf_transformation,[],[f2669]) ).
cnf(c_819,plain,
( v_x != sK101
| v_y != sK100
| ~ sP8 ),
inference(cnf_transformation,[],[f2668]) ).
cnf(c_820,plain,
( v_y != sK100
| ~ c_member(tc_prod(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,sK101),v_L)
| ~ sP8
| v_y = sK101 ),
inference(cnf_transformation,[],[f2667]) ).
cnf(c_821,plain,
( v_y != sK101
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK100,v_x),v_L)
| ~ sP8
| v_y = sK100 ),
inference(cnf_transformation,[],[f2666]) ).
cnf(c_822,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,sK100,sK101),v_L)
| ~ sP8
| v_y = sK100
| v_y = sK101 ),
inference(cnf_transformation,[],[f2665]) ).
cnf(c_823,plain,
( v_x != sK100
| v_y != sK101
| ~ sP8 ),
inference(cnf_transformation,[],[f2664]) ).
cnf(c_824,plain,
( sK100 != sK101
| ~ sP8 ),
inference(cnf_transformation,[],[f2663]) ).
cnf(c_825,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,X0,sK102(X1,X0)),v_L)
| ~ sP7(X1,X0)
| sP4(X0,X1,sK102(X1,X0))
| sP3(X0,sK102(X1,X0),X1) ),
inference(cnf_transformation,[],[f2677]) ).
cnf(c_826,plain,
( sK102(X0,X1) != v_y
| ~ sP7(X0,X1)
| sP4(X1,X0,sK102(X0,X1))
| sP3(X1,sK102(X0,X1),X0) ),
inference(cnf_transformation,[],[f2676]) ).
cnf(c_827,plain,
( ~ sP7(X0,X1)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK102(X0,X1)),v_L)
| sP4(X1,X0,sK102(X0,X1))
| sP3(X1,sK102(X0,X1),X0) ),
inference(cnf_transformation,[],[f2675]) ).
cnf(c_830,plain,
( ~ sP7(X0,X1)
| c_member(tc_prod(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,X0),v_L) ),
inference(cnf_transformation,[],[f2672]) ).
cnf(c_831,plain,
( ~ sP6(X0,X1)
| sK103(X0) = 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,X0,v_x),v_L)
| sP5(sK103(X0),X0) ),
inference(cnf_transformation,[],[f2684]) ).
cnf(c_832,plain,
( ~ sP6(X0,X1)
| X0 = 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,X0,v_x),v_L)
| sP5(sK103(X0),X0) ),
inference(cnf_transformation,[],[f2683]) ).
cnf(c_833,plain,
( ~ sP6(X0,X1)
| sK103(X0) = v_y
| sP5(sK103(X0),X0) ),
inference(cnf_transformation,[],[f2883]) ).
cnf(c_835,plain,
~ sP6(v_y,X0),
inference(cnf_transformation,[],[f2874]) ).
cnf(c_836,plain,
( ~ sP6(X0,X1)
| c_member(tc_prod(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,X0),v_L) ),
inference(cnf_transformation,[],[f2679]) ).
cnf(c_837,plain,
( ~ sP6(X0,X1)
| X1 = v_y ),
inference(cnf_transformation,[],[f2678]) ).
cnf(c_838,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,X0),v_L)
| ~ sP5(X0,X1) ),
inference(cnf_transformation,[],[f2687]) ).
cnf(c_839,plain,
~ sP5(v_y,X0),
inference(cnf_transformation,[],[f2875]) ).
cnf(c_840,plain,
( ~ sP5(X0,X1)
| c_member(tc_prod(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,X0),v_L) ),
inference(cnf_transformation,[],[f2685]) ).
cnf(c_841,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,X0,v_x),v_L)
| ~ sP4(X0,X1,X2) ),
inference(cnf_transformation,[],[f2691]) ).
cnf(c_843,plain,
( ~ sP4(X0,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,v_x),v_L) ),
inference(cnf_transformation,[],[f2689]) ).
cnf(c_844,plain,
( ~ sP4(X0,X1,X2)
| X2 = v_y ),
inference(cnf_transformation,[],[f2688]) ).
cnf(c_845,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,X0,v_x),v_L)
| ~ sP3(X0,X1,X2) ),
inference(cnf_transformation,[],[f2695]) ).
cnf(c_847,plain,
( ~ sP3(X0,X1,X2)
| X1 = v_y ),
inference(cnf_transformation,[],[f2693]) ).
cnf(c_848,plain,
( ~ sP3(X0,X1,X2)
| X2 = v_x ),
inference(cnf_transformation,[],[f2692]) ).
cnf(c_849,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,sK104,sK106),v_L)
| sP7(sK105,sK104)
| sP6(sK105,sK104)
| sP8 ),
inference(cnf_transformation,[],[f2701]) ).
cnf(c_851,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,sK106),v_L)
| sP7(sK105,sK104)
| sP6(sK105,sK104)
| sP8 ),
inference(cnf_transformation,[],[f2699]) ).
cnf(c_852,negated_conjecture,
( v_y != sK104
| sP7(sK105,sK104)
| sP6(sK105,sK104)
| sP8 ),
inference(cnf_transformation,[],[f2698]) ).
cnf(c_853,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,sK104,v_x),v_L)
| sP7(sK105,sK104)
| sP6(sK105,sK104)
| sP8 ),
inference(cnf_transformation,[],[f2697]) ).
cnf(c_854,negated_conjecture,
( v_y = sK105
| sP7(sK105,sK104)
| sP6(sK105,sK104)
| sP8 ),
inference(cnf_transformation,[],[f2696]) ).
cnf(c_1355,plain,
( sK103(X0) = v_y
| ~ sP6(X0,X1)
| sP5(sK103(X0),X0) ),
inference(global_subsumption_just,[status(thm)],[c_831,c_833]) ).
cnf(c_1356,plain,
( ~ sP6(X0,X1)
| sK103(X0) = v_y
| sP5(sK103(X0),X0) ),
inference(renaming,[status(thm)],[c_1355]) ).
cnf(c_1955,plain,
( ~ sP6(X0,X1)
| c_member(tc_prod(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,X0),v_L) ),
inference(prop_impl_just,[status(thm)],[c_836]) ).
cnf(c_1957,plain,
( ~ sP6(X0,X1)
| X1 = v_y ),
inference(prop_impl_just,[status(thm)],[c_837]) ).
cnf(c_1959,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,X0,v_x),v_L)
| ~ sP4(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_841]) ).
cnf(c_1961,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,X0,v_x),v_L)
| ~ sP3(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_845]) ).
cnf(c_1963,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,X0),v_L)
| ~ sP5(X0,X1) ),
inference(prop_impl_just,[status(thm)],[c_838]) ).
cnf(c_1967,plain,
( ~ sP5(X0,X1)
| c_member(tc_prod(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,X0),v_L) ),
inference(prop_impl_just,[status(thm)],[c_840]) ).
cnf(c_1971,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)
| ~ sP4(X0,X1,X2) ),
inference(prop_impl_just,[status(thm)],[c_843]) ).
cnf(c_1972,plain,
( ~ sP4(X0,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,v_x),v_L) ),
inference(renaming,[status(thm)],[c_1971]) ).
cnf(c_1977,plain,
( ~ sP4(X0,X1,X2)
| X2 = v_y ),
inference(prop_impl_just,[status(thm)],[c_844]) ).
cnf(c_1979,plain,
( ~ sP3(X0,X1,X2)
| X1 = v_y ),
inference(prop_impl_just,[status(thm)],[c_847]) ).
cnf(c_1983,plain,
( ~ sP3(X0,X1,X2)
| X2 = v_x ),
inference(prop_impl_just,[status(thm)],[c_848]) ).
cnf(c_6888,plain,
( sK102(X0,X1) != X2
| X0 != X4
| X1 != 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,X1,sK102(X0,X1)),v_L)
| ~ sP7(X0,X1)
| X2 = v_y
| sP3(X1,sK102(X0,X1),X0) ),
inference(resolution_lifted,[status(thm)],[c_825,c_1977]) ).
cnf(c_6889,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,X0,sK102(X1,X0)),v_L)
| ~ sP7(X1,X0)
| sK102(X1,X0) = v_y
| sP3(X0,sK102(X1,X0),X1) ),
inference(unflattening,[status(thm)],[c_6888]) ).
cnf(c_6899,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,X0,sK102(X1,X0)),v_L)
| ~ sP7(X1,X0)
| sK102(X1,X0) = v_y ),
inference(forward_subsumption_resolution,[status(thm)],[c_6889,c_1979]) ).
cnf(c_6919,plain,
( sK102(X0,X1) != X2
| X0 != X4
| X1 != 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,X1,sK102(X0,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)
| ~ sP7(X0,X1)
| sP3(X1,sK102(X0,X1),X0) ),
inference(resolution_lifted,[status(thm)],[c_825,c_1959]) ).
cnf(c_6920,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,X0,sK102(X1,X0)),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,X0,v_x),v_L)
| ~ sP7(X1,X0)
| sP3(X0,sK102(X1,X0),X1) ),
inference(unflattening,[status(thm)],[c_6919]) ).
cnf(c_6930,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,X0,sK102(X1,X0)),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,X0,v_x),v_L)
| ~ sP7(X1,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6920,c_1961]) ).
cnf(c_6948,plain,
( sK102(X0,X1) != X2
| X0 != X3
| X1 != X4
| ~ sP7(X0,X1)
| X2 = 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,X0,sK102(X0,X1)),v_L)
| sP3(X1,sK102(X0,X1),X0) ),
inference(resolution_lifted,[status(thm)],[c_827,c_1977]) ).
cnf(c_6949,plain,
( ~ sP7(X0,X1)
| sK102(X0,X1) = 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,X0,sK102(X0,X1)),v_L)
| sP3(X1,sK102(X0,X1),X0) ),
inference(unflattening,[status(thm)],[c_6948]) ).
cnf(c_6959,plain,
( ~ sP7(X0,X1)
| sK102(X0,X1) = 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,X0,sK102(X0,X1)),v_L) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6949,c_1979]) ).
cnf(c_6979,plain,
( sK102(X0,X1) != X2
| X0 != X3
| X1 != X4
| ~ c_member(tc_prod(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,v_x),v_L)
| ~ sP7(X0,X1)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK102(X0,X1)),v_L)
| sP3(X1,sK102(X0,X1),X0) ),
inference(resolution_lifted,[status(thm)],[c_827,c_1959]) ).
cnf(c_6980,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,X0,v_x),v_L)
| ~ sP7(X1,X0)
| c_member(tc_prod(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,sK102(X1,X0)),v_L)
| sP3(X0,sK102(X1,X0),X1) ),
inference(unflattening,[status(thm)],[c_6979]) ).
cnf(c_6990,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,X0,v_x),v_L)
| ~ sP7(X1,X0)
| c_member(tc_prod(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,sK102(X1,X0)),v_L) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6980,c_1961]) ).
cnf(c_6997,plain,
( sK102(X0,X1) != X2
| sK102(X0,X1) != v_y
| X0 != X3
| X1 != X4
| ~ sP7(X0,X1)
| c_member(tc_prod(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)
| sP3(X1,sK102(X0,X1),X0) ),
inference(resolution_lifted,[status(thm)],[c_826,c_1972]) ).
cnf(c_6998,plain,
( sK102(X0,X1) != v_y
| ~ sP7(X0,X1)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| sP3(X1,sK102(X0,X1),X0) ),
inference(unflattening,[status(thm)],[c_6997]) ).
cnf(c_7108,plain,
( sK102(X0,X1) != X2
| sK102(X0,X1) != v_y
| X0 != X3
| X1 != X4
| ~ sP7(X0,X1)
| X3 = 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,X0,v_x),v_L) ),
inference(resolution_lifted,[status(thm)],[c_6998,c_1983]) ).
cnf(c_7109,plain,
( sK102(X0,X1) != v_y
| ~ sP7(X0,X1)
| X0 = 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,X0,v_x),v_L) ),
inference(unflattening,[status(thm)],[c_7108]) ).
cnf(c_7885,plain,
( X0 != sK105
| X1 != sK104
| X1 = v_y
| v_y = sK105
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_1957,c_854]) ).
cnf(c_7886,plain,
( v_y = sK105
| sK104 = v_y
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_7885]) ).
cnf(c_7899,plain,
( X0 != sK105
| X1 != sK104
| X1 = 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,sK104,v_x),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_1957,c_853]) ).
cnf(c_7900,plain,
( sK104 = 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,sK104,v_x),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_7899]) ).
cnf(c_7927,plain,
( X0 != sK105
| X1 != sK104
| X1 = 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,sK106),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_1957,c_851]) ).
cnf(c_7928,plain,
( sK104 = 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,sK106),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_7927]) ).
cnf(c_7955,plain,
( X0 != sK105
| X1 != sK104
| ~ c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK104,sK106),v_L)
| X1 = v_y
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_1957,c_849]) ).
cnf(c_7956,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,sK104,sK106),v_L)
| sK104 = v_y
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_7955]) ).
cnf(c_7969,plain,
( X0 != sK105
| X1 != sK104
| v_y = sK105
| c_member(tc_prod(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,X0),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_1955,c_854]) ).
cnf(c_7970,plain,
( v_y = sK105
| c_member(tc_prod(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,sK105),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_7969]) ).
cnf(c_7997,plain,
( X0 != sK105
| X1 != sK104
| v_y != sK104
| c_member(tc_prod(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,X0),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_1955,c_852]) ).
cnf(c_7998,plain,
( v_y != sK104
| c_member(tc_prod(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,sK105),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_7997]) ).
cnf(c_8011,plain,
( X0 != sK105
| X1 != sK104
| c_member(tc_prod(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,X0),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,sK106),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_1955,c_851]) ).
cnf(c_8012,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,sK105),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,sK106),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_8011]) ).
cnf(c_8053,plain,
( X0 != sK105
| X1 != sK104
| sK103(X0) = v_y
| v_y = sK105
| sP5(sK103(X0),X0)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_1356,c_854]) ).
cnf(c_8054,plain,
( sK103(sK105) = v_y
| v_y = sK105
| sP5(sK103(sK105),sK105)
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_8053]) ).
cnf(c_8087,plain,
( X0 != sK105
| X1 != sK104
| v_y != sK104
| sK103(X0) = v_y
| sP5(sK103(X0),X0)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_1356,c_852]) ).
cnf(c_8088,plain,
( v_y != sK104
| sK103(sK105) = v_y
| sP5(sK103(sK105),sK105)
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_8087]) ).
cnf(c_8104,plain,
( X0 != sK105
| X1 != sK104
| sK103(X0) = 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,sK106),v_L)
| sP5(sK103(X0),X0)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_1356,c_851]) ).
cnf(c_8105,plain,
( sK103(sK105) = 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,sK106),v_L)
| sP5(sK103(sK105),sK105)
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_8104]) ).
cnf(c_8155,plain,
( X0 != sK105
| X1 != sK104
| X0 = v_x
| v_y = sK105
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,v_x),v_L)
| sP5(sK103(X0),X0)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_832,c_854]) ).
cnf(c_8156,plain,
( v_y = sK105
| sK105 = 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,sK105,v_x),v_L)
| sP5(sK103(sK105),sK105)
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_8155]) ).
cnf(c_8195,plain,
( X0 != sK105
| X1 != sK104
| v_y != sK104
| X0 = 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,X0,v_x),v_L)
| sP5(sK103(X0),X0)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_832,c_852]) ).
cnf(c_8196,plain,
( v_y != sK104
| sK105 = 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,sK105,v_x),v_L)
| sP5(sK103(sK105),sK105)
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_8195]) ).
cnf(c_8291,plain,
( X0 != sK104
| v_y != sK105
| v_y != sK104
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_835,c_852]) ).
cnf(c_8292,plain,
( v_y != sK105
| v_y != sK104
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_8291]) ).
cnf(c_9163,plain,
( sK103(sK105) != X0
| X1 != sK105
| v_x = sK105
| v_y = sK105
| c_member(tc_prod(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,X0),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,sK105,v_x),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_1967,c_8156]) ).
cnf(c_9164,plain,
( v_x = sK105
| v_y = sK105
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK105,sK103(sK105)),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,sK105,v_x),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_9163]) ).
cnf(c_9217,plain,
( sK103(sK105) != X0
| X1 != sK105
| sK103(sK105) = 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,X1,X0),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,sK106),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_1967,c_8105]) ).
cnf(c_9218,plain,
( sK103(sK105) = 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,sK105,sK103(sK105)),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,sK106),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_9217]) ).
cnf(c_9268,plain,
( sK103(sK105) != X0
| X1 != sK105
| sK103(sK105) = v_y
| v_y = sK105
| c_member(tc_prod(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,X0),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_1967,c_8054]) ).
cnf(c_9269,plain,
( sK103(sK105) = v_y
| v_y = sK105
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK105,sK103(sK105)),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_9268]) ).
cnf(c_9439,plain,
( sK103(sK105) != X0
| X1 != sK105
| ~ c_member(tc_prod(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,X0),v_L)
| sK103(sK105) = 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,sK106),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_1963,c_8105]) ).
cnf(c_9440,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,sK103(sK105)),v_L)
| sK103(sK105) = 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,sK106),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_9439]) ).
cnf(c_9456,plain,
( sK103(sK105) != X0
| X1 != sK105
| v_y != sK104
| ~ c_member(tc_prod(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,X0),v_L)
| sK103(sK105) = v_y
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_1963,c_8088]) ).
cnf(c_9457,plain,
( v_y != sK104
| ~ c_member(tc_prod(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,sK103(sK105)),v_L)
| sK103(sK105) = v_y
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_9456]) ).
cnf(c_9567,plain,
( sK103(sK105) != v_y
| X0 != sK105
| v_y != sK104
| v_x = sK105
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK105,v_x),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution_lifted,[status(thm)],[c_839,c_8196]) ).
cnf(c_9568,plain,
( sK103(sK105) != v_y
| v_y != sK104
| v_x = sK105
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK105,v_x),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(unflattening,[status(thm)],[c_9567]) ).
cnf(c_29951,plain,
X0 = X0,
theory(equality) ).
cnf(c_29953,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_29963,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| X6 != X7
| c_Product__Type_OPair(X0,X2,X4,X6) = c_Product__Type_OPair(X1,X3,X5,X7) ),
theory(equality) ).
cnf(c_29964,plain,
( X0 != X1
| X2 != X3
| X4 != X5
| ~ c_member(X1,X3,X5)
| c_member(X0,X2,X4) ),
theory(equality) ).
cnf(c_41575,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,X0,X1),v_L)
| ~ sP7(X0,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,X1),v_L) ),
inference(superposition,[status(thm)],[c_830,c_815]) ).
cnf(c_41579,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,X0),v_L)
| v_y = sK104
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK104,X0),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(superposition,[status(thm)],[c_7900,c_815]) ).
cnf(c_41603,plain,
( ~ sP7(v_x,X0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK106),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,sK105),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(superposition,[status(thm)],[c_8012,c_41575]) ).
cnf(c_41681,plain,
( ~ sP7(v_x,sK106)
| c_member(tc_prod(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,sK105),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(superposition,[status(thm)],[c_41603,c_814]) ).
cnf(c_41743,plain,
( v_y = sK104
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK104,sK106),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(superposition,[status(thm)],[c_7928,c_41579]) ).
cnf(c_41782,plain,
( v_y = sK104
| sP7(sK105,sK104)
| sP8 ),
inference(superposition,[status(thm)],[c_41743,c_7956]) ).
cnf(c_41787,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,sK105),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_41681,c_7998,c_41782]) ).
cnf(c_41790,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,sK105,X0),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,X0),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(superposition,[status(thm)],[c_41787,c_815]) ).
cnf(c_41826,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,sK105,sK103(sK105)),v_L)
| sK103(sK105) = v_y
| sP7(sK105,sK104)
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_9218,c_8292,c_9269,c_41782]) ).
cnf(c_41827,plain,
( sK103(sK105) = 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,sK105,sK103(sK105)),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(renaming,[status(thm)],[c_41826]) ).
cnf(c_41836,plain,
( sK103(sK105) = 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,sK103(sK105)),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_9440,c_9457,c_41782]) ).
cnf(c_41837,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,sK103(sK105)),v_L)
| sK103(sK105) = v_y
| sP7(sK105,sK104)
| sP8 ),
inference(renaming,[status(thm)],[c_41836]) ).
cnf(c_41863,plain,
( ~ sP7(X0,sK105)
| c_member(tc_prod(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,X0),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(superposition,[status(thm)],[c_830,c_41790]) ).
cnf(c_41866,plain,
( sK103(sK105) = 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,sK103(sK105)),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(superposition,[status(thm)],[c_41827,c_41790]) ).
cnf(c_41881,plain,
( ~ sP7(sK103(sK105),sK105)
| sK103(sK105) = v_y
| sP7(sK105,sK104)
| sP8 ),
inference(superposition,[status(thm)],[c_41863,c_41837]) ).
cnf(c_41894,plain,
( sK103(sK105) = v_y
| sP7(sK105,sK104)
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_41881,c_41837,c_41866]) ).
cnf(c_41914,plain,
( v_x = sK105
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK105,v_x),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_9164,c_9568,c_41782,c_41894]) ).
cnf(c_41918,plain,
( v_x = sK105
| c_member(tc_prod(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,v_x),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(superposition,[status(thm)],[c_41914,c_41790]) ).
cnf(c_41969,plain,
( v_x = sK105
| sP7(sK105,sK104)
| sP8 ),
inference(superposition,[status(thm)],[c_41918,c_814]) ).
cnf(c_42377,plain,
( v_y != sK105
| sP7(sK105,sK104)
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_8292,c_8292,c_41782]) ).
cnf(c_42389,plain,
( sK103(sK105) = 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,sK105,sK103(sK105)),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(backward_subsumption_resolution,[status(thm)],[c_9269,c_42377]) ).
cnf(c_42390,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,sK105),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(backward_subsumption_resolution,[status(thm)],[c_7970,c_42377]) ).
cnf(c_42394,plain,
( v_x = sK105
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK105,sK103(sK105)),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,sK105,v_x),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(backward_subsumption_resolution,[status(thm)],[c_9164,c_42377]) ).
cnf(c_42429,plain,
( sK103(sK105) = v_y
| sP7(sK105,sK104)
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_42389,c_41894]) ).
cnf(c_42461,plain,
( X0 != X1
| X1 = X0 ),
inference(resolution,[status(thm)],[c_29953,c_29951]) ).
cnf(c_42464,plain,
( X0 != v_y
| sK103(sK105) = X0
| sP7(sK105,sK104)
| sP8 ),
inference(resolution,[status(thm)],[c_29953,c_42429]) ).
cnf(c_42487,plain,
( v_x = sK105
| sP7(sK105,sK104)
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_42394,c_41969]) ).
cnf(c_42538,plain,
( X0 != tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| X1 != c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X2,X3)
| X4 != v_L
| X2 = 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,X2),v_L)
| c_member(X0,X1,X4) ),
inference(resolution,[status(thm)],[c_29964,c_813]) ).
cnf(c_42540,plain,
( X0 != tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| X1 != c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,v_x,sK105)
| X2 != v_L
| c_member(X0,X1,X2)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution,[status(thm)],[c_29964,c_42390]) ).
cnf(c_42550,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,X0,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,X0,sK105),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution,[status(thm)],[c_815,c_42390]) ).
cnf(c_42575,plain,
( sK105 = v_x
| sP7(sK105,sK104)
| sP8 ),
inference(resolution,[status(thm)],[c_42461,c_42487]) ).
cnf(c_42659,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,sK105,v_x),v_L)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution,[status(thm)],[c_42550,c_814]) ).
cnf(c_42677,plain,
( X0 != tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| X1 != tc_Arrow__Order__Mirabelle_Oalt
| X2 != tc_Arrow__Order__Mirabelle_Oalt
| X3 != v_x
| X4 != sK105
| X5 != v_L
| c_member(X0,c_Product__Type_OPair(X1,X2,X3,X4),X5)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution,[status(thm)],[c_42540,c_29963]) ).
cnf(c_42843,plain,
( c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,X1) != v_y
| X2 != tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| X3 != v_L
| X0 = X1
| c_member(tc_prod(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,X0),v_L)
| c_member(X2,sK103(sK105),X3)
| sP7(sK105,sK104)
| sP8 ),
inference(resolution,[status(thm)],[c_42538,c_42464]) ).
cnf(c_54533,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,v_x),v_L),
inference(instantiation,[status(thm)],[c_814]) ).
cnf(c_236372,plain,
( tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) != tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)
| tc_Arrow__Order__Mirabelle_Oalt != tc_Arrow__Order__Mirabelle_Oalt
| v_x != sK105
| v_L != v_L
| sK105 != v_x
| sP7(sK105,sK104)
| sP8 ),
inference(resolution,[status(thm)],[c_42677,c_42659]) ).
cnf(c_236373,plain,
( v_x != sK105
| sK105 != v_x
| sP7(sK105,sK104)
| sP8 ),
inference(equality_resolution_simp,[status(thm)],[c_236372]) ).
cnf(c_236841,plain,
( sP7(sK105,sK104)
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_42843,c_41918,c_42575,c_54533,c_236373]) ).
cnf(c_652588,plain,
( sP7(sK105,sK104)
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_7886,c_236841]) ).
cnf(c_652665,plain,
( ~ sP8
| v_y = sK100
| v_y = sK101
| sK100 = sK101
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK100,sK101),v_L) ),
inference(superposition,[status(thm)],[c_813,c_818]) ).
cnf(c_652666,plain,
( ~ sP8
| v_y = sK100
| v_y = sK101
| sK100 = sK101
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK101,sK100),v_L) ),
inference(superposition,[status(thm)],[c_813,c_822]) ).
cnf(c_652673,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,X0,X1),v_L)
| ~ sP7(X0,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,X1),v_L) ),
inference(superposition,[status(thm)],[c_830,c_815]) ).
cnf(c_652685,plain,
( ~ sP8
| v_y = sK100
| v_y = sK101 ),
inference(global_subsumption_just,[status(thm)],[c_652665,c_824,c_818,c_652666]) ).
cnf(c_652705,plain,
( ~ sP7(X0,X1)
| ~ sP7(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,X0),v_L) ),
inference(superposition,[status(thm)],[c_830,c_652673]) ).
cnf(c_652710,plain,
( ~ sP7(sK104,X0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK105),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_652588,c_652705]) ).
cnf(c_652712,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,sK105,X0),v_L)
| ~ sP7(sK104,X1)
| c_member(tc_prod(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,X0),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_652710,c_815]) ).
cnf(c_652731,plain,
( ~ sP7(sK104,X0)
| X1 = sK105
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,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,sK105),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_813,c_652712]) ).
cnf(c_652873,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,sK100),v_L)
| ~ sP8
| v_y = sK100 ),
inference(global_subsumption_just,[status(thm)],[c_816,c_816,c_652685]) ).
cnf(c_652877,plain,
( ~ sP8
| v_y = sK100
| v_y = sK101 ),
inference(global_subsumption_just,[status(thm)],[c_818,c_652685]) ).
cnf(c_652879,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,sK101),v_L)
| ~ sP8
| v_y = sK101 ),
inference(global_subsumption_just,[status(thm)],[c_820,c_820,c_652685]) ).
cnf(c_652881,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,sK100,v_x),v_L)
| ~ sP8
| v_y = sK100 ),
inference(global_subsumption_just,[status(thm)],[c_821,c_821,c_652685]) ).
cnf(c_652893,plain,
( v_x = sK100
| c_member(tc_prod(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,sK100),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,sK100,v_x),v_L) ),
inference(instantiation,[status(thm)],[c_813]) ).
cnf(c_652933,plain,
( v_y = sK100
| ~ sP8 ),
inference(global_subsumption_just,[status(thm)],[c_652877,c_823,c_652685,c_652873,c_652881,c_652893]) ).
cnf(c_652934,plain,
( ~ sP8
| v_y = sK100 ),
inference(renaming,[status(thm)],[c_652933]) ).
cnf(c_652935,plain,
( v_x != sK101
| ~ sP8 ),
inference(global_subsumption_just,[status(thm)],[c_819,c_823,c_819,c_652685,c_652873,c_652881,c_652893]) ).
cnf(c_652937,plain,
( v_x = sK101
| c_member(tc_prod(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,sK101),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,sK101,v_x),v_L) ),
inference(instantiation,[status(thm)],[c_813]) ).
cnf(c_652944,plain,
( ~ sP8
| v_y = sK101 ),
inference(global_subsumption_just,[status(thm)],[c_652879,c_820,c_817,c_652934,c_652935,c_652937]) ).
cnf(c_653062,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,X0,v_x),v_L)
| ~ sP7(sK105,X0)
| ~ sP7(sK104,X1)
| c_member(tc_prod(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,sK102(sK105,X0)),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_6990,c_652712]) ).
cnf(c_653136,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,X0,v_x),v_L)
| ~ sP7(sK102(X1,X0),X0)
| ~ sP7(X1,X0) ),
inference(superposition,[status(thm)],[c_830,c_6930]) ).
cnf(c_653141,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,X0,v_x),v_L)
| ~ sP7(sK105,X0)
| ~ sP7(sK104,X0)
| sP8 ),
inference(superposition,[status(thm)],[c_653062,c_6930]) ).
cnf(c_653151,plain,
( ~ sP7(sK102(X0,X1),X1)
| ~ sP7(X0,X1)
| ~ sP7(v_x,X1) ),
inference(superposition,[status(thm)],[c_830,c_653136]) ).
cnf(c_653161,plain,
( ~ sP7(sK105,sK104)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK104,sK105),v_L) ),
inference(instantiation,[status(thm)],[c_830]) ).
cnf(c_653164,plain,
( ~ sP7(sK105,X0)
| ~ sP7(sK104,X0)
| v_x = sK105
| c_member(tc_prod(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,sK105),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_652731,c_653141]) ).
cnf(c_653174,plain,
( ~ sP7(sK104,sK104)
| v_x = sK105
| c_member(tc_prod(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,sK105),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_652588,c_653164]) ).
cnf(c_653175,plain,
( ~ sP7(v_x,X0)
| ~ sP7(sK104,sK104)
| v_x = sK105
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK105),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_653174,c_652673]) ).
cnf(c_653179,plain,
( ~ sP7(X0,X1)
| ~ sP7(v_x,X0)
| ~ sP7(sK104,sK104)
| v_x = sK105
| c_member(tc_prod(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,sK105),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_653175,c_652673]) ).
cnf(c_653254,plain,
( ~ sP7(v_x,sK105)
| ~ sP7(sK104,sK104)
| v_x = sK105
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK104,sK105),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_652588,c_653179]) ).
cnf(c_653255,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,sK104,sK105),v_L)
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_653254,c_236841,c_653161]) ).
cnf(c_653258,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,sK105,X0),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,sK104,X0),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_653255,c_815]) ).
cnf(c_653263,plain,
( X0 = sK105
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,X0,sK105),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,sK104,X0),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_813,c_653258]) ).
cnf(c_653265,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,X0,v_x),v_L)
| ~ sP7(sK105,X0)
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK104,sK102(sK105,X0)),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_6990,c_653258]) ).
cnf(c_653266,plain,
( ~ sP7(sK105,X0)
| sK102(sK105,X0) = 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,sK104,sK102(sK105,X0)),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_6959,c_653258]) ).
cnf(c_653324,plain,
( ~ sP7(sK105,sK104)
| sK102(sK105,sK104) = v_y
| sP8 ),
inference(superposition,[status(thm)],[c_653266,c_6899]) ).
cnf(c_653357,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,sK104,v_x),v_L)
| ~ sP7(sK105,sK104)
| sP8 ),
inference(superposition,[status(thm)],[c_653265,c_6930]) ).
cnf(c_653473,plain,
( sK102(sK105,sK104) = v_y
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_653324,c_236841,c_653324]) ).
cnf(c_653475,plain,
( sK102(sK105,sK104) = v_y
| v_y = sK100
| v_y = sK101 ),
inference(superposition,[status(thm)],[c_653473,c_652685]) ).
cnf(c_653476,plain,
( sK102(sK105,sK104) = v_y
| v_y = sK101 ),
inference(global_subsumption_just,[status(thm)],[c_653475,c_236841,c_652944,c_653324]) ).
cnf(c_653484,plain,
( ~ sP7(v_x,sK104)
| ~ sP7(v_y,sK104)
| ~ sP7(sK105,sK104)
| v_y = sK101 ),
inference(superposition,[status(thm)],[c_653476,c_653151]) ).
cnf(c_653486,plain,
( ~ sP7(sK105,sK104)
| v_x = sK105
| v_y = sK101
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK105,v_x),v_L) ),
inference(superposition,[status(thm)],[c_653476,c_7109]) ).
cnf(c_653543,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,sK104,v_x),v_L)
| sP8 ),
inference(global_subsumption_just,[status(thm)],[c_653357,c_236841,c_653357]) ).
cnf(c_653549,plain,
( ~ sP7(v_x,sK104)
| sP8 ),
inference(superposition,[status(thm)],[c_830,c_653543]) ).
cnf(c_653550,plain,
( v_x = sK105
| c_member(tc_prod(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,sK105),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_653263,c_653543]) ).
cnf(c_653812,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,sK105,X0),v_L)
| v_x = sK105
| c_member(tc_prod(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,X0),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_653550,c_815]) ).
cnf(c_654147,plain,
( ~ sP7(v_x,sK104)
| v_y = sK101 ),
inference(global_subsumption_just,[status(thm)],[c_653484,c_652944,c_653549]) ).
cnf(c_656864,plain,
( v_x = sK105
| v_y = sK101
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK105,v_x),v_L) ),
inference(global_subsumption_just,[status(thm)],[c_653486,c_236841,c_652944,c_653486]) ).
cnf(c_656875,plain,
( ~ sP7(sK105,sK105)
| ~ sP7(sK104,sK105)
| v_x = sK105
| v_y = sK101
| sP8 ),
inference(superposition,[status(thm)],[c_656864,c_653141]) ).
cnf(c_656880,plain,
( v_x = sK105
| v_y = sK101
| c_member(tc_prod(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,v_x),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_656864,c_653812]) ).
cnf(c_656952,plain,
( v_y = sK101
| v_x = sK105 ),
inference(global_subsumption_just,[status(thm)],[c_656875,c_54533,c_652944,c_656880]) ).
cnf(c_656953,plain,
( v_x = sK105
| v_y = sK101 ),
inference(renaming,[status(thm)],[c_656952]) ).
cnf(c_657008,plain,
( v_y = sK101
| sP7(v_x,sK104)
| sP8 ),
inference(superposition,[status(thm)],[c_656953,c_652588]) ).
cnf(c_657097,plain,
v_y = sK101,
inference(global_subsumption_just,[status(thm)],[c_657008,c_652944,c_654147,c_657008]) ).
cnf(c_657105,plain,
( v_x != sK100
| ~ sP8 ),
inference(superposition,[status(thm)],[c_657097,c_823]) ).
cnf(c_657106,plain,
( v_y != sK100
| ~ sP8 ),
inference(superposition,[status(thm)],[c_657097,c_824]) ).
cnf(c_657107,plain,
~ sP8,
inference(global_subsumption_just,[status(thm)],[c_657105,c_652934,c_657106]) ).
cnf(c_657109,plain,
sK102(sK105,sK104) = v_y,
inference(superposition,[status(thm)],[c_653473,c_657107]) ).
cnf(c_657197,plain,
( ~ sP7(sK105,sK104)
| v_x = sK105
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK105,v_x),v_L) ),
inference(superposition,[status(thm)],[c_657109,c_7109]) ).
cnf(c_657339,plain,
( v_x = sK105
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK105,v_x),v_L) ),
inference(global_subsumption_just,[status(thm)],[c_657197,c_236841,c_657107,c_657197]) ).
cnf(c_657359,plain,
( v_x = sK105
| c_member(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),c_Product__Type_OPair(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt,sK104,v_x),v_L)
| sP8 ),
inference(superposition,[status(thm)],[c_657339,c_653258]) ).
cnf(c_657368,plain,
v_x = sK105,
inference(global_subsumption_just,[status(thm)],[c_657359,c_653543,c_657107,c_657359]) ).
cnf(c_657422,plain,
( sP7(v_x,sK104)
| sP8 ),
inference(superposition,[status(thm)],[c_657368,c_652588]) ).
cnf(c_657423,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_657422,c_657107,c_653549]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : SCT117+1 : TPTP v8.1.2. Released v5.2.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Thu Aug 24 15:37:51 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.46 Running first-order theorem proving
% 0.20/0.46 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 297.23/39.87 % SZS status Started for theBenchmark.p
% 297.23/39.87 % SZS status Theorem for theBenchmark.p
% 297.23/39.87
% 297.23/39.87 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 297.23/39.87
% 297.23/39.87 ------ iProver source info
% 297.23/39.87
% 297.23/39.87 git: date: 2023-05-31 18:12:56 +0000
% 297.23/39.87 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 297.23/39.87 git: non_committed_changes: false
% 297.23/39.87 git: last_make_outside_of_git: false
% 297.23/39.87
% 297.23/39.87 ------ Parsing...
% 297.23/39.87 ------ Clausification by vclausify_rel & Parsing by iProver...
% 297.23/39.87
% 297.23/39.87 ------ Preprocessing... sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe_e sup_sim: 0 sf_s rm: 8 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 8 0s sf_e pe_s pe_e sup_sim: 0 sf_s rm: 8 0s sf_e pe_s pe_e
% 297.23/39.87
% 297.23/39.87 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 297.23/39.87
% 297.23/39.87 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 297.23/39.87 ------ Proving...
% 297.23/39.87 ------ Problem Properties
% 297.23/39.87
% 297.23/39.87
% 297.23/39.87 clauses 683
% 297.23/39.87 conjectures 0
% 297.23/39.87 EPR 75
% 297.23/39.87 Horn 500
% 297.23/39.87 unary 136
% 297.23/39.87 binary 263
% 297.23/39.87 lits 1715
% 297.23/39.87 lits eq 336
% 297.23/39.87 fd_pure 0
% 297.23/39.87 fd_pseudo 0
% 297.23/39.87 fd_cond 3
% 297.23/39.87 fd_pseudo_cond 77
% 297.23/39.87 AC symbols 0
% 297.23/39.87
% 297.23/39.87 ------ Input Options Time Limit: Unbounded
% 297.23/39.87
% 297.23/39.87
% 297.23/39.87 ------
% 297.23/39.87 Current options:
% 297.23/39.87 ------
% 297.23/39.87
% 297.23/39.87
% 297.23/39.87
% 297.23/39.87
% 297.23/39.87 ------ Proving...
% 297.23/39.87
% 297.23/39.87
% 297.23/39.87 ------ Proving...
% 297.23/39.87
% 297.23/39.87
% 297.23/39.87 ------ Proving...
% 297.23/39.87
% 297.23/39.87
% 297.23/39.87 % SZS status Theorem for theBenchmark.p
% 297.23/39.87
% 297.23/39.87 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 297.23/39.87
% 297.23/39.88
%------------------------------------------------------------------------------