%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT060-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:36:50 PM UTC 2026
% Result : Unsatisfiable 8.77s 2.33s
% Output : Refutation 10.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 23
% Syntax : Number of formulae : 158 ( 31 unt; 11 def)
% Number of atoms : 817 ( 222 equ)
% Maximal formula atoms : 10 ( 5 avg)
% Number of connectives : 1024 ( 365 ~; 656 |; 0 &)
% ( 3 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 8 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 25 ( 25 usr; 18 con; 0-6 aty)
% Number of variables : 296 ( 0 sgn 296 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f624,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_2_3) ).
fof(f625,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X4 = X0
| X3 = X1
| X0 = X1
| X3 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_2_2) ).
fof(f626,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(reorient_equations,[],[f625]) ).
fof(f627,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_2_1) ).
fof(f628,axiom,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X4 = X0
| X3 = X1
| X0 = X1
| X3 = X4 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_2_0) ).
fof(f629,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(reorient_equations,[],[f628]) ).
fof(f634,axiom,
v_a____ != v_b____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A_I1_J_0) ).
fof(f646,axiom,
v_b____ != v_c____,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A_I2_J_0) ).
fof(f650,axiom,
c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_A_I5_J_0) ).
fof(f654,axiom,
c_in(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_cP_0) ).
fof(f655,negated_conjecture,
! [X0] :
( c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f656,negated_conjecture,
! [X0] :
( c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_P_H____,X0),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f657,negated_conjecture,
( ~ c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f658,negated_conjecture,
( c_in(c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,v_P_H____),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f765,definition,
sF0 = c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f766,plain,
c_Pair(v_b____,v_c____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sF0,
inference(reorient_equations,[],[f765]) ).
fof(f767,definition,
sF1 = tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f768,plain,
tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sF1,
inference(reorient_equations,[],[f767]) ).
fof(f769,definition,
sF2 = c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f770,plain,
c_Pair(v_b____,v_a____,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sF2,
inference(reorient_equations,[],[f769]) ).
fof(f771,definition,
sF3 = c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f772,plain,
c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sF3,
inference(reorient_equations,[],[f771]) ).
fof(f773,definition,
sF4 = tc_fun(sF1,tc_bool),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f774,plain,
tc_fun(sF1,tc_bool) = sF4,
inference(reorient_equations,[],[f773]) ).
fof(f775,definition,
sF5 = c_Fun_Ocomp(sF3,v_P____,sF4,sF4,tc_Arrow__Order__Mirabelle_Oindi),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f776,plain,
c_Fun_Ocomp(sF3,v_P____,sF4,sF4,tc_Arrow__Order__Mirabelle_Oindi) = sF5,
inference(reorient_equations,[],[f775]) ).
fof(f777,plain,
! [X0] :
( c_in(sF0,hAPP(v_P_H____,X0),sF1)
| ~ c_in(sF2,hAPP(sF5,X0),sF1) ),
inference(definition_folding,[],[f655,f768,f776,f774,f768,f774,f768,f772,f770,f768,f766]) ).
fof(f778,plain,
! [X0] :
( c_in(sF2,hAPP(sF5,X0),sF1)
| ~ c_in(sF0,hAPP(v_P_H____,X0),sF1) ),
inference(definition_folding,[],[f656,f768,f766,f768,f776,f774,f768,f774,f768,f772,f770]) ).
fof(f779,definition,
sF6 = hAPP(v_F,v_P_H____),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f780,plain,
hAPP(v_F,v_P_H____) = sF6,
inference(reorient_equations,[],[f779]) ).
fof(f781,definition,
sF7 = hAPP(v_F,sF5),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f782,plain,
hAPP(v_F,sF5) = sF7,
inference(reorient_equations,[],[f781]) ).
fof(f783,plain,
( ~ c_in(sF0,sF6,sF1)
| ~ c_in(sF2,sF7,sF1) ),
inference(definition_folding,[],[f657,f768,f782,f776,f774,f768,f774,f768,f772,f770,f768,f780,f766]) ).
fof(f784,plain,
( c_in(sF2,sF7,sF1)
| c_in(sF0,sF6,sF1) ),
inference(definition_folding,[],[f658,f768,f780,f766,f768,f782,f776,f774,f768,f774,f768,f772,f770]) ).
fof(f788,definition,
( spl8_1
<=> c_in(sF0,sF6,sF1) ),
introduced(definition,[new_symbols(definition,[spl8_1])],[avatar_definition]) ).
fof(f789,plain,
( ~ c_in(sF0,sF6,sF1)
| spl8_1 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f790,plain,
( c_in(sF0,sF6,sF1)
| ~ spl8_1 ),
inference(avatar_component_clause,[],[f788]) ).
fof(f792,definition,
( spl8_2
<=> c_in(sF2,sF7,sF1) ),
introduced(definition,[new_symbols(definition,[spl8_2])],[avatar_definition]) ).
fof(f793,plain,
( ~ c_in(sF2,sF7,sF1)
| spl8_2 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f794,plain,
( c_in(sF2,sF7,sF1)
| ~ spl8_2 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f795,plain,
( spl8_1
| spl8_2 ),
inference(avatar_split_clause,[],[f784,f792,f788]) ).
fof(f796,plain,
( ~ spl8_2
| ~ spl8_1 ),
inference(avatar_split_clause,[],[f783,f788,f792]) ).
fof(f906,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(backward_demodulation,[],[f624,f768]) ).
fof(f907,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(backward_demodulation,[],[f626,f768]) ).
fof(f908,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(backward_demodulation,[],[f627,f768]) ).
fof(f909,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(backward_demodulation,[],[f629,f768]) ).
fof(f913,plain,
c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool))),
inference(backward_demodulation,[],[f650,f768]) ).
fof(f914,plain,
c_in(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,tc_fun(sF1,tc_bool),tc_fun(sF1,tc_bool),tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool))),
inference(backward_demodulation,[],[f654,f768]) ).
fof(f948,plain,
c_in(c_Fun_Ocomp(c_Relation_Oconverse(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),v_P____,sF4,sF4,tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4)),
inference(forward_demodulation,[],[f914,f774]) ).
fof(f949,plain,
c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4)),
inference(forward_demodulation,[],[f913,f774]) ).
fof(f953,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(forward_demodulation,[],[f909,f768]) ).
fof(f954,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(forward_demodulation,[],[f908,f768]) ).
fof(f955,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(forward_demodulation,[],[f907,f768]) ).
fof(f956,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(forward_demodulation,[],[f906,f768]) ).
fof(f992,plain,
c_in(c_Fun_Ocomp(sF3,v_P____,sF4,sF4,tc_Arrow__Order__Mirabelle_Oindi),c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4)),
inference(forward_demodulation,[],[f948,f772]) ).
fof(f995,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(forward_demodulation,[],[f953,f768]) ).
fof(f996,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(forward_demodulation,[],[f954,f768]) ).
fof(f997,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(forward_demodulation,[],[f955,f768]) ).
fof(f998,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(forward_demodulation,[],[f956,f768]) ).
fof(f1009,plain,
c_in(sF5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4)),
inference(forward_demodulation,[],[f992,f776]) ).
fof(f1012,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(forward_demodulation,[],[f995,f768]) ).
fof(f1013,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(forward_demodulation,[],[f996,f768]) ).
fof(f1014,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(forward_demodulation,[],[f997,f768]) ).
fof(f1015,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(forward_demodulation,[],[f998,f768]) ).
fof(f1028,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool)))
| c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(forward_demodulation,[],[f1012,f768]) ).
fof(f1029,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool)))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(forward_demodulation,[],[f1013,f768]) ).
fof(f1030,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool)))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(forward_demodulation,[],[f1014,f768]) ).
fof(f1031,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool)))
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(forward_demodulation,[],[f1015,f768]) ).
fof(f1043,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(forward_demodulation,[],[f1028,f774]) ).
fof(f1044,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(forward_demodulation,[],[f1029,f774]) ).
fof(f1045,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(forward_demodulation,[],[f1030,f774]) ).
fof(f1046,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)))
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(forward_demodulation,[],[f1031,f774]) ).
fof(f1058,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool)))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(forward_demodulation,[],[f1043,f768]) ).
fof(f1059,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool)))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(forward_demodulation,[],[f1044,f768]) ).
fof(f1060,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool)))
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(forward_demodulation,[],[f1045,f768]) ).
fof(f1061,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool)))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(forward_demodulation,[],[f1046,f768]) ).
fof(f1073,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(forward_demodulation,[],[f1058,f774]) ).
fof(f1074,plain,
! [X2,X3,X0,X1,X4,X5] :
( c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(forward_demodulation,[],[f1059,f774]) ).
fof(f1075,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X5,X2,X3,X0,X4,X1)),sF1)
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| X0 = X4
| X1 = X3
| X0 = X1
| X3 = X4 ),
inference(forward_demodulation,[],[f1060,f774]) ).
fof(f1076,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X5,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(X5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X2,v_sko__local__X2__1(X2,X5,X0,X3,X1,X4)),sF1)
| ~ c_in(X2,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(c_Pair(X3,X4,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X5),sF1)
| c_in(c_Pair(X0,X1,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X2),sF1)
| X1 = X3
| X0 = X4
| X3 = X4
| X0 = X1 ),
inference(forward_demodulation,[],[f1061,f774]) ).
fof(f1087,plain,
! [X2,X3,X0,X1] :
( c_in(sF2,hAPP(X0,v_sko__local__X2__1(X0,X1,v_b____,X2,v_a____,X3)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__local__X2__1(X0,X1,v_b____,X2,v_a____,X3)),sF1)
| ~ c_in(sF2,hAPP(v_F,X0),sF1)
| c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X1),sF1)
| v_a____ = X2
| v_b____ = X3
| X2 = X3
| v_a____ = v_b____ ),
inference(superposition,[],[f1073,f770]) ).
fof(f1091,plain,
! [X2,X3,X0,X1] :
( c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__local__X2__1(X0,X1,v_b____,X2,v_a____,X3)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(sF2,hAPP(X0,v_sko__local__X2__1(X0,X1,v_b____,X2,v_a____,X3)),sF1)
| ~ c_in(sF2,hAPP(v_F,X0),sF1)
| c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X1),sF1)
| v_a____ = X2
| v_b____ = X3
| X2 = X3 ),
inference(forward_subsumption_resolution,[],[f1087,f634]) ).
fof(f1094,plain,
! [X2,X3,X0,X1] :
( c_in(sF0,hAPP(X0,v_sko__local__X2__1(X1,X0,X2,v_b____,X3,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__local__X2__1(X1,X0,X2,v_b____,X3,v_c____)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,X0),sF1)
| c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X1),sF1)
| v_b____ = X3
| v_c____ = X2
| v_b____ = v_c____
| X2 = X3 ),
inference(superposition,[],[f1074,f766]) ).
fof(f1096,plain,
! [X2,X3,X0,X1] :
( c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__local__X2__1(X1,X0,X2,v_b____,X3,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(sF0,hAPP(X0,v_sko__local__X2__1(X1,X0,X2,v_b____,X3,v_c____)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,X0),sF1)
| c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X1),sF1)
| v_b____ = X3
| v_c____ = X2
| X2 = X3 ),
inference(forward_subsumption_resolution,[],[f1094,f646]) ).
fof(f1101,plain,
! [X2,X3,X0,X1] :
( ~ c_in(sF0,hAPP(X0,v_sko__local__X2__1(X1,X0,X2,v_b____,X3,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__local__X2__1(X1,X0,X2,v_b____,X3,v_c____)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,X0),sF1)
| c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X1),sF1)
| v_b____ = X3
| v_c____ = X2
| v_b____ = v_c____
| X2 = X3 ),
inference(superposition,[],[f1076,f766]) ).
fof(f1104,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__local__X2__1(X1,X0,X2,v_b____,X3,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(X0,v_sko__local__X2__1(X1,X0,X2,v_b____,X3,v_c____)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,X0),sF1)
| c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X1),sF1)
| v_b____ = X3
| v_c____ = X2
| X2 = X3 ),
inference(forward_subsumption_resolution,[],[f1101,f646]) ).
fof(f1108,plain,
! [X2,X3,X0,X1] :
( ~ c_in(sF2,hAPP(X0,v_sko__local__X2__1(X0,X1,v_b____,X2,v_a____,X3)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__local__X2__1(X0,X1,v_b____,X2,v_a____,X3)),sF1)
| ~ c_in(sF2,hAPP(v_F,X0),sF1)
| c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X1),sF1)
| v_a____ = X2
| v_b____ = X3
| X2 = X3
| v_a____ = v_b____ ),
inference(superposition,[],[f1075,f770]) ).
fof(f1113,plain,
! [X2,X3,X0,X1] :
( ~ c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(X1,v_sko__local__X2__1(X0,X1,v_b____,X2,v_a____,X3)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF2,hAPP(X0,v_sko__local__X2__1(X0,X1,v_b____,X2,v_a____,X3)),sF1)
| ~ c_in(sF2,hAPP(v_F,X0),sF1)
| c_in(c_Pair(X2,X3,tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),hAPP(v_F,X1),sF1)
| v_a____ = X2
| v_b____ = X3
| X2 = X3 ),
inference(forward_subsumption_resolution,[],[f1108,f634]) ).
fof(f1177,plain,
! [X0,X1] :
( ~ c_in(sF2,hAPP(X0,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(X1,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,X1),sF1)
| c_in(sF2,hAPP(v_F,X0),sF1)
| v_a____ = v_b____
| v_b____ = v_c____
| v_a____ = v_b____ ),
inference(superposition,[],[f1104,f770]) ).
fof(f1180,plain,
! [X0,X1] :
( ~ c_in(sF2,hAPP(X0,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(X1,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,X1),sF1)
| c_in(sF2,hAPP(v_F,X0),sF1)
| v_a____ = v_b____
| v_b____ = v_c____ ),
inference(duplicate_literal_removal,[],[f1177]) ).
fof(f1184,plain,
! [X0,X1] :
( ~ c_in(sF2,hAPP(X0,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(X1,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,X1),sF1)
| c_in(sF2,hAPP(v_F,X0),sF1)
| v_b____ = v_c____ ),
inference(forward_subsumption_resolution,[],[f1180,f634]) ).
fof(f1185,plain,
! [X0,X1] :
( ~ c_in(sF2,hAPP(X0,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(X1,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,X1),sF1)
| c_in(sF2,hAPP(v_F,X0),sF1) ),
inference(forward_subsumption_resolution,[],[f1184,f646]) ).
fof(f1219,plain,
! [X0,X1] :
( ~ c_in(sF0,hAPP(X0,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF2,hAPP(X1,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF2,hAPP(v_F,X1),sF1)
| c_in(sF0,hAPP(v_F,X0),sF1)
| v_a____ = v_b____
| v_b____ = v_c____
| v_b____ = v_c____ ),
inference(superposition,[],[f1113,f766]) ).
fof(f1220,plain,
! [X0,X1] :
( ~ c_in(sF0,hAPP(X0,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF2,hAPP(X1,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF2,hAPP(v_F,X1),sF1)
| c_in(sF0,hAPP(v_F,X0),sF1)
| v_a____ = v_b____
| v_b____ = v_c____ ),
inference(duplicate_literal_removal,[],[f1219]) ).
fof(f1224,plain,
! [X0,X1] :
( ~ c_in(sF0,hAPP(X0,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF2,hAPP(X1,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF2,hAPP(v_F,X1),sF1)
| c_in(sF0,hAPP(v_F,X0),sF1)
| v_b____ = v_c____ ),
inference(forward_subsumption_resolution,[],[f1220,f634]) ).
fof(f1226,plain,
! [X0,X1] :
( ~ c_in(sF2,hAPP(X1,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(X0,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF2,hAPP(v_F,X1),sF1)
| c_in(sF0,hAPP(v_F,X0),sF1) ),
inference(forward_subsumption_resolution,[],[f1224,f646]) ).
fof(f1408,plain,
! [X0,X1] :
( c_in(sF2,hAPP(X0,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(sF0,hAPP(X1,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,X1),sF1)
| c_in(sF2,hAPP(v_F,X0),sF1)
| v_a____ = v_b____
| v_b____ = v_c____
| v_a____ = v_b____ ),
inference(superposition,[],[f1096,f770]) ).
fof(f1412,plain,
! [X0,X1] :
( c_in(sF2,hAPP(X0,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(sF0,hAPP(X1,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,X1),sF1)
| c_in(sF2,hAPP(v_F,X0),sF1)
| v_a____ = v_b____
| v_b____ = v_c____ ),
inference(duplicate_literal_removal,[],[f1408]) ).
fof(f1418,plain,
! [X0,X1] :
( c_in(sF2,hAPP(X0,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(sF0,hAPP(X1,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,X1),sF1)
| c_in(sF2,hAPP(v_F,X0),sF1)
| v_b____ = v_c____ ),
inference(forward_subsumption_resolution,[],[f1412,f634]) ).
fof(f1419,plain,
! [X0,X1] :
( c_in(sF2,hAPP(X0,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(sF0,hAPP(X1,v_sko__local__X2__1(X0,X1,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,X1),sF1)
| c_in(sF2,hAPP(v_F,X0),sF1) ),
inference(forward_subsumption_resolution,[],[f1418,f646]) ).
fof(f1505,plain,
! [X0,X1] :
( c_in(sF0,hAPP(X0,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(sF2,hAPP(X1,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF2,hAPP(v_F,X1),sF1)
| c_in(sF0,hAPP(v_F,X0),sF1)
| v_a____ = v_b____
| v_b____ = v_c____
| v_b____ = v_c____ ),
inference(superposition,[],[f1091,f766]) ).
fof(f1507,plain,
! [X0,X1] :
( c_in(sF0,hAPP(X0,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(sF2,hAPP(X1,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF2,hAPP(v_F,X1),sF1)
| c_in(sF0,hAPP(v_F,X0),sF1)
| v_a____ = v_b____
| v_b____ = v_c____ ),
inference(duplicate_literal_removal,[],[f1505]) ).
fof(f1513,plain,
! [X0,X1] :
( c_in(sF0,hAPP(X0,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(sF2,hAPP(X1,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF2,hAPP(v_F,X1),sF1)
| c_in(sF0,hAPP(v_F,X0),sF1)
| v_b____ = v_c____ ),
inference(forward_subsumption_resolution,[],[f1507,f634]) ).
fof(f1515,plain,
! [X0,X1] :
( c_in(sF2,hAPP(X1,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(X0,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(X1,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(sF0,hAPP(X0,v_sko__local__X2__1(X1,X0,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF2,hAPP(v_F,X1),sF1)
| c_in(sF0,hAPP(v_F,X0),sF1) ),
inference(forward_subsumption_resolution,[],[f1513,f646]) ).
fof(f1735,definition,
( spl8_7
<=> c_in(sF2,hAPP(sF5,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1) ),
introduced(definition,[new_symbols(definition,[spl8_7])],[avatar_definition]) ).
fof(f1736,plain,
( c_in(sF2,hAPP(sF5,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ spl8_7 ),
inference(avatar_component_clause,[],[f1735]) ).
fof(f1737,plain,
( ~ c_in(sF2,hAPP(sF5,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| spl8_7 ),
inference(avatar_component_clause,[],[f1735]) ).
fof(f1743,plain,
( ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF2,hAPP(v_F,sF5),sF1)
| c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| spl8_7 ),
inference(resolution,[],[f1737,f1515]) ).
fof(f1744,plain,
( ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| c_in(sF2,hAPP(v_F,sF5),sF1)
| spl8_7 ),
inference(resolution,[],[f1737,f1419]) ).
fof(f1745,plain,
( ~ c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| spl8_7 ),
inference(resolution,[],[f1737,f778]) ).
fof(f1747,plain,
( c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| c_in(sF2,hAPP(v_F,sF5),sF1)
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f1744,f949]) ).
fof(f1748,plain,
( ~ c_in(sF5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF2,hAPP(v_F,sF5),sF1)
| c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f1743,f949]) ).
fof(f1749,plain,
( ~ c_in(sF5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| c_in(sF2,hAPP(v_F,sF5),sF1)
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f1747,f1745]) ).
fof(f1750,plain,
( c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF2,hAPP(v_F,sF5),sF1)
| c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f1748,f1009]) ).
fof(f1751,plain,
( ~ c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| c_in(sF2,hAPP(v_F,sF5),sF1)
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f1749,f1009]) ).
fof(f1752,plain,
( ~ c_in(sF2,hAPP(v_F,sF5),sF1)
| c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f1750,f1745]) ).
fof(f1753,plain,
( ~ c_in(sF0,sF6,sF1)
| c_in(sF2,hAPP(v_F,sF5),sF1)
| spl8_7 ),
inference(forward_demodulation,[],[f1751,f780]) ).
fof(f1754,plain,
( ~ c_in(sF2,sF7,sF1)
| c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| spl8_7 ),
inference(forward_demodulation,[],[f1752,f782]) ).
fof(f1755,plain,
( c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| ~ spl8_2
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f1754,f794]) ).
fof(f1756,plain,
( c_in(sF0,sF6,sF1)
| ~ spl8_2
| spl8_7 ),
inference(forward_demodulation,[],[f1755,f780]) ).
fof(f1757,plain,
( $false
| spl8_1
| ~ spl8_2
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f1756,f789]) ).
fof(f1758,plain,
( spl8_1
| ~ spl8_2
| spl8_7 ),
inference(avatar_contradiction_clause,[],[f1757]) ).
fof(f1765,plain,
( c_in(sF2,hAPP(v_F,sF5),sF1)
| ~ spl8_1
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f1753,f790]) ).
fof(f1766,plain,
( c_in(sF2,sF7,sF1)
| ~ spl8_1
| spl8_7 ),
inference(forward_demodulation,[],[f1765,f782]) ).
fof(f1767,plain,
( $false
| ~ spl8_1
| spl8_2
| spl8_7 ),
inference(forward_subsumption_resolution,[],[f1766,f793]) ).
fof(f1768,plain,
( ~ spl8_1
| spl8_2
| spl8_7 ),
inference(avatar_contradiction_clause,[],[f1767]) ).
fof(f1791,plain,
( ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF2,hAPP(v_F,sF5),sF1)
| c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| ~ spl8_7 ),
inference(resolution,[],[f1736,f1226]) ).
fof(f1792,plain,
( ~ c_in(v_P_H____,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| c_in(sF2,hAPP(v_F,sF5),sF1)
| ~ spl8_7 ),
inference(resolution,[],[f1736,f1185]) ).
fof(f1793,plain,
( ~ c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| c_in(sF2,hAPP(v_F,sF5),sF1)
| ~ spl8_7 ),
inference(forward_subsumption_resolution,[],[f1792,f949]) ).
fof(f1794,plain,
( ~ c_in(sF5,c_Arrow__Order__Mirabelle_OProf,tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF4))
| ~ c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF2,hAPP(v_F,sF5),sF1)
| c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| ~ spl8_7 ),
inference(forward_subsumption_resolution,[],[f1791,f949]) ).
fof(f1795,plain,
( ~ c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| c_in(sF2,hAPP(v_F,sF5),sF1)
| ~ spl8_7 ),
inference(forward_subsumption_resolution,[],[f1793,f1009]) ).
fof(f1796,plain,
( ~ c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ c_in(sF2,hAPP(v_F,sF5),sF1)
| c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| ~ spl8_7 ),
inference(forward_subsumption_resolution,[],[f1794,f1009]) ).
fof(f1797,plain,
( ~ c_in(sF0,sF6,sF1)
| ~ c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| c_in(sF2,hAPP(v_F,sF5),sF1)
| ~ spl8_7 ),
inference(forward_demodulation,[],[f1795,f780]) ).
fof(f1798,plain,
( ~ c_in(sF2,sF7,sF1)
| ~ c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| ~ spl8_7 ),
inference(forward_demodulation,[],[f1796,f782]) ).
fof(f1799,plain,
( ~ c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| c_in(sF2,hAPP(v_F,sF5),sF1)
| ~ spl8_1
| ~ spl8_7 ),
inference(forward_subsumption_resolution,[],[f1797,f790]) ).
fof(f1800,plain,
( c_in(sF2,sF7,sF1)
| ~ c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ spl8_1
| ~ spl8_7 ),
inference(forward_demodulation,[],[f1799,f782]) ).
fof(f1801,plain,
( ~ c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ spl8_1
| spl8_2
| ~ spl8_7 ),
inference(forward_subsumption_resolution,[],[f1800,f793]) ).
fof(f1802,plain,
( ~ c_in(sF2,hAPP(sF5,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ spl8_1
| spl8_2
| ~ spl8_7 ),
inference(resolution,[],[f1801,f777]) ).
fof(f1805,plain,
( $false
| ~ spl8_1
| spl8_2
| ~ spl8_7 ),
inference(forward_subsumption_resolution,[],[f1802,f1736]) ).
fof(f1806,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_7 ),
inference(avatar_contradiction_clause,[],[f1805]) ).
fof(f1813,plain,
( ~ c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| c_in(sF0,hAPP(v_F,v_P_H____),sF1)
| ~ spl8_2
| ~ spl8_7 ),
inference(forward_subsumption_resolution,[],[f1798,f794]) ).
fof(f1814,plain,
( c_in(sF0,sF6,sF1)
| ~ c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| ~ spl8_2
| ~ spl8_7 ),
inference(forward_demodulation,[],[f1813,f780]) ).
fof(f1815,plain,
( ~ c_in(sF0,hAPP(v_P_H____,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| spl8_1
| ~ spl8_2
| ~ spl8_7 ),
inference(forward_subsumption_resolution,[],[f1814,f789]) ).
fof(f1870,plain,
( ~ c_in(sF2,hAPP(sF5,v_sko__local__X2__1(sF5,v_P_H____,v_b____,v_b____,v_a____,v_c____)),sF1)
| spl8_1
| ~ spl8_2
| ~ spl8_7 ),
inference(resolution,[],[f1815,f777]) ).
fof(f1872,plain,
( $false
| spl8_1
| ~ spl8_2
| ~ spl8_7 ),
inference(forward_subsumption_resolution,[],[f1870,f1736]) ).
fof(f1873,plain,
( spl8_1
| ~ spl8_2
| ~ spl8_7 ),
inference(avatar_contradiction_clause,[],[f1872]) ).
cnf(s1,plain,
( spl8_1
| spl8_2 ),
inference(sat_conversion,[],[f795]) ).
cnf(s2,plain,
( ~ spl8_1
| ~ spl8_2 ),
inference(sat_conversion,[],[f796]) ).
cnf(s7,plain,
( spl8_1
| ~ spl8_2
| spl8_7 ),
inference(sat_conversion,[],[f1758]) ).
cnf(s8,plain,
( ~ spl8_1
| spl8_2
| spl8_7 ),
inference(sat_conversion,[],[f1768]) ).
cnf(s10,plain,
( ~ spl8_1
| spl8_2
| ~ spl8_7 ),
inference(sat_conversion,[],[f1806]) ).
cnf(s11,plain,
( spl8_1
| ~ spl8_2
| ~ spl8_7 ),
inference(sat_conversion,[],[f1873]) ).
cnf(s12,plain,
( ~ spl8_2
| spl8_1 ),
inference(rat,[],[s7,s11]) ).
cnf(s13,plain,
spl8_1,
inference(rat,[],[s12,s1]) ).
cnf(s14,plain,
~ spl8_2,
inference(rat,[],[s2,s13]) ).
cnf(s15,plain,
~ spl8_7,
inference(rat,[],[s10,s14,s13]) ).
cnf(s16,plain,
$false,
inference(rat,[],[s8,s14,s13,s15]) ).
fof(f1874,plain,
$false,
inference(avatar_sat_refutation,[],[s16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT060-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.37 % Computer : n014.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Sun Sep 27 23:36:17 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 Running first-order theorem proving
% 0.11/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.61/2.07 % (1287809)Input is clausal, will run a generic CNF schedule.
% 8.61/2.07 % (1287819)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4242799408:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.61/2.07 % (1287815)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3600614794:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.61/2.07 % (1287814)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=704536757:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.61/2.07 % (1287816)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=378674825:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.61/2.07 % (1287817)lrs+10_1_sil=8000:sp=occurrence:random_seed=521946794:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.61/2.07 % (1287820)dis-21_1_sil=8000:lcm=predicate:random_seed=2574323201:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 8.61/2.07 % (1287818)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=524029909:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.61/2.07 % (1287819)Instruction limit reached!
% 8.61/2.07 % (1287819)------------------------------
% 8.61/2.07 % (1287819)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.07 % (1287819)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.07 % (1287819)CaDiCaL version: 2.1.3
% 8.61/2.07 % (1287819)Termination reason: Instruction limit
% 8.61/2.07 % (1287819)Termination phase: Saturation
% 8.61/2.07 % (1287819)Time elapsed: 0.067 s
% 8.61/2.07 % (1287819)Peak memory usage: 90 MB
% 8.61/2.07 % (1287819)Instructions burned: 181 (million)
% 8.61/2.07 % (1287820)Instruction limit reached!
% 8.61/2.07 % (1287820)------------------------------
% 8.61/2.07 % (1287820)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.07 % (1287820)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.07 % (1287820)CaDiCaL version: 2.1.3
% 8.61/2.07 % (1287820)Termination reason: Instruction limit
% 8.61/2.07 % (1287820)Termination phase: Saturation
% 8.61/2.07 % (1287820)Time elapsed: 0.066 s
% 8.61/2.07 % (1287820)Peak memory usage: 89 MB
% 8.61/2.07 % (1287820)Instructions burned: 118 (million)
% 8.61/2.07 % (1287817)Instruction limit reached!
% 8.61/2.07 % (1287817)------------------------------
% 8.61/2.07 % (1287817)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.07 % (1287817)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.07 % (1287817)CaDiCaL version: 2.1.3
% 8.61/2.07 % (1287817)Termination reason: Instruction limit
% 8.61/2.07 % (1287817)Termination phase: Saturation
% 8.61/2.07 % (1287817)Time elapsed: 0.067 s
% 8.61/2.07 % (1287817)Peak memory usage: 89 MB
% 8.61/2.07 % (1287817)Instructions burned: 107 (million)
% 8.61/2.07 % (1287818)Instruction limit reached!
% 8.61/2.07 % (1287818)------------------------------
% 8.61/2.07 % (1287818)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.07 % (1287818)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.07 % (1287818)CaDiCaL version: 2.1.3
% 8.61/2.07 % (1287818)Termination reason: Instruction limit
% 8.61/2.07 % (1287818)Termination phase: Saturation
% 8.61/2.07 % (1287818)Time elapsed: 0.078 s
% 8.61/2.07 % (1287818)Peak memory usage: 89 MB
% 8.61/2.07 % (1287818)Instructions burned: 114 (million)
% 8.61/2.07 % (1287828)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2696494751:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.61/2.07 % (1287828)Refutation not found, incomplete strategy
% 8.61/2.07 % (1287828)------------------------------
% 8.61/2.07 % (1287828)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.61/2.07 % (1287828)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.61/2.07 % (1287828)CaDiCaL version: 2.1.3
% 8.61/2.07 % (1287828)Termination reason: Refutation not found, incomplete strategy
% 8.61/2.07 % (1287828)Time elapsed: 0.005 s
% 8.61/2.07 % (1287828)Peak memory usage: 88 MB
% 8.61/2.07 % (1287828)Instructions burned: 15 (million)
% 8.61/2.07 % (1287830)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2799734820:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 8.77/2.32 % (1287829)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=36790955:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.77/2.32 % (1287831)lrs+10_64_to=lpo:sil=8000:random_seed=2014707586:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 8.77/2.32 % (1287828)------------------------------
% 8.77/2.32 % (1287828)------------------------------
% 8.77/2.32 % (1287831)Instruction limit reached!
% 8.77/2.32 % (1287831)------------------------------
% 8.77/2.32 % (1287831)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.32 % (1287831)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.32 % (1287831)CaDiCaL version: 2.1.3
% 8.77/2.32 % (1287831)Termination reason: Instruction limit
% 8.77/2.32 % (1287831)Termination phase: Saturation
% 8.77/2.32 % (1287831)Time elapsed: 0.077 s
% 8.77/2.32 % (1287831)Peak memory usage: 90 MB
% 8.77/2.32 % (1287831)Instructions burned: 126 (million)
% 8.77/2.32 % (1287829)Instruction limit reached!
% 8.77/2.32 % (1287829)------------------------------
% 8.77/2.32 % (1287829)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.32 % (1287829)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.32 % (1287829)CaDiCaL version: 2.1.3
% 8.77/2.32 % (1287829)Termination reason: Instruction limit
% 8.77/2.32 % (1287829)Termination phase: Saturation
% 8.77/2.32 % (1287829)Time elapsed: 0.102 s
% 8.77/2.32 % (1287829)Peak memory usage: 90 MB
% 8.77/2.32 % (1287829)Instructions burned: 190 (million)
% 8.77/2.32 % (1287830)Instruction limit reached!
% 8.77/2.32 % (1287830)------------------------------
% 8.77/2.32 % (1287830)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.32 % (1287830)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.32 % (1287830)CaDiCaL version: 2.1.3
% 8.77/2.32 % (1287830)Termination reason: Instruction limit
% 8.77/2.32 % (1287830)Termination phase: Saturation
% 8.77/2.32 % (1287830)Time elapsed: 0.127 s
% 8.77/2.32 % (1287830)Peak memory usage: 90 MB
% 8.77/2.32 % (1287830)Instructions burned: 220 (million)
% 8.77/2.32 % (1287836)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=729811998:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 8.77/2.32 % (1287837)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3161786934:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 8.77/2.32 % (1287838)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4125952133:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 8.77/2.32 % (1287836)Instruction limit reached!
% 8.77/2.32 % (1287836)------------------------------
% 8.77/2.32 % (1287836)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.32 % (1287836)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.32 % (1287836)CaDiCaL version: 2.1.3
% 8.77/2.32 % (1287836)Termination reason: Instruction limit
% 8.77/2.32 % (1287836)Termination phase: Saturation
% 8.77/2.32 % (1287836)Time elapsed: 0.069 s
% 8.77/2.32 % (1287836)Peak memory usage: 90 MB
% 8.77/2.32 % (1287836)Instructions burned: 197 (million)
% 8.77/2.32 % (1287839)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=1934826862:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 8.77/2.32 % (1287839)Instruction limit reached!
% 8.77/2.32 % (1287839)------------------------------
% 8.77/2.32 % (1287839)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.32 % (1287839)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.32 % (1287839)CaDiCaL version: 2.1.3
% 8.77/2.32 % (1287839)Termination reason: Instruction limit
% 8.77/2.32 % (1287839)Termination phase: Saturation
% 8.77/2.32 % (1287839)Time elapsed: 0.060 s
% 8.77/2.32 % (1287839)Peak memory usage: 89 MB
% 8.77/2.32 % (1287839)Instructions burned: 107 (million)
% 8.77/2.32 % (1287837)Instruction limit reached!
% 8.77/2.32 % (1287837)------------------------------
% 8.77/2.32 % (1287837)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.32 % (1287837)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.32 % (1287837)CaDiCaL version: 2.1.3
% 8.77/2.32 % (1287837)Termination reason: Instruction limit
% 8.77/2.32 % (1287837)Termination phase: Saturation
% 8.77/2.32 % (1287837)Time elapsed: 0.101 s
% 8.77/2.32 % (1287837)Peak memory usage: 91 MB
% 8.77/2.32 % (1287837)Instructions burned: 158 (million)
% 8.77/2.32 % (1287843)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=872850033:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 8.77/2.32 % (1287843)Instruction limit reached!
% 8.77/2.32 % (1287843)------------------------------
% 8.77/2.32 % (1287843)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.32 % (1287843)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.32 % (1287843)CaDiCaL version: 2.1.3
% 8.77/2.32 % (1287843)Termination reason: Instruction limit
% 8.77/2.32 % (1287843)Termination phase: Saturation
% 8.77/2.32 % (1287843)Time elapsed: 0.033 s
% 8.77/2.32 % (1287843)Peak memory usage: 90 MB
% 8.77/2.32 % (1287843)Instructions burned: 109 (million)
% 8.77/2.32 % (1287848)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2871750331:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 8.77/2.33 % (1287846)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2306746509:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 8.77/2.33 % (1287845)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=493326579:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 8.77/2.33 % (1287848)Instruction limit reached!
% 8.77/2.33 % (1287848)------------------------------
% 8.77/2.33 % (1287848)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.33 % (1287848)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.33 % (1287848)CaDiCaL version: 2.1.3
% 8.77/2.33 % (1287848)Termination reason: Instruction limit
% 8.77/2.33 % (1287848)Termination phase: Saturation
% 8.77/2.33 % (1287848)Time elapsed: 0.039 s
% 8.77/2.33 % (1287848)Peak memory usage: 90 MB
% 8.77/2.33 % (1287848)Instructions burned: 134 (million)
% 8.77/2.33 % (1287852)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3993545902:i=499:bd=all_2991 on theBenchmark for (2991ds/499Mi)
% 8.77/2.33 % (1287845)Instruction limit reached!
% 8.77/2.33 % (1287845)------------------------------
% 8.77/2.33 % (1287845)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.33 % (1287845)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.33 % (1287845)CaDiCaL version: 2.1.3
% 8.77/2.33 % (1287845)Termination reason: Instruction limit
% 8.77/2.33 % (1287845)Termination phase: Saturation
% 8.77/2.33 % (1287845)Time elapsed: 0.144 s
% 8.77/2.33 % (1287845)Peak memory usage: 89 MB
% 8.77/2.33 % (1287845)Instructions burned: 243 (million)
% 8.77/2.33 % (1287854)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1760733968:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 8.77/2.33 % (1287852)Instruction limit reached!
% 8.77/2.33 % (1287852)------------------------------
% 8.77/2.33 % (1287852)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.33 % (1287852)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.33 % (1287852)CaDiCaL version: 2.1.3
% 8.77/2.33 % (1287852)Termination reason: Instruction limit
% 8.77/2.33 % (1287852)Termination phase: Saturation
% 8.77/2.33 % (1287852)Time elapsed: 0.171 s
% 8.77/2.33 % (1287852)Peak memory usage: 95 MB
% 8.77/2.33 % (1287852)Instructions burned: 499 (million)
% 8.77/2.33 % (1287816)First to succeed.
% 8.77/2.33 % (1287816)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1287809"
% 8.77/2.33 % (1287854)Instruction limit reached!
% 8.77/2.33 % (1287854)------------------------------
% 8.77/2.33 % (1287854)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.33 % (1287854)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.33 % (1287854)CaDiCaL version: 2.1.3
% 8.77/2.33 % (1287854)Termination reason: Instruction limit
% 8.77/2.33 % (1287854)Termination phase: Saturation
% 8.77/2.33 % (1287854)Time elapsed: 0.123 s
% 8.77/2.33 % (1287854)Peak memory usage: 91 MB
% 8.77/2.33 % (1287854)Instructions burned: 192 (million)
% 8.77/2.33 % (1287856)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1328212215:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 8.77/2.33 % (1287814)Also succeeded, but the first one will report.
% 8.77/2.33 % (1287856)Instruction limit reached!
% 8.77/2.33 % (1287856)------------------------------
% 8.77/2.33 % (1287856)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.77/2.33 % (1287856)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.77/2.33 % (1287856)CaDiCaL version: 2.1.3
% 8.77/2.33 % (1287856)Termination reason: Instruction limit
% 8.77/2.33 % (1287856)Termination phase: Saturation
% 8.77/2.33 % (1287856)Time elapsed: 0.089 s
% 8.77/2.33 % (1287856)Peak memory usage: 91 MB
% 8.77/2.33 % (1287856)Instructions burned: 264 (million)
% 8.77/2.33 % (1287858)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4243180191:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 8.77/2.33 % (1287859)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=231848806:i=3256:kws=precedence:bd=preordered:av=off_2986 on theBenchmark for (2986ds/3256Mi)
% 8.77/2.33 % (1287816)Refutation found. Thanks to Tanya!
% 8.77/2.33 % SZS status Unsatisfiable for theBenchmark
% 8.77/2.33 % SZS output start Proof for theBenchmark
% See solution above
% 10.78/2.42 % (1287816)------------------------------
% 10.78/2.42 % (1287816)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.78/2.42 % (1287816)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.78/2.42 % (1287816)CaDiCaL version: 2.1.3
% 10.78/2.42 % (1287816)Termination reason: Refutation
% 10.78/2.42 % (1287816)Time elapsed: 1.037 s
% 10.78/2.42 % (1287816)Peak memory usage: 139 MB
% 10.78/2.42 % (1287816)Instructions burned: 1609 (million)
% 10.78/2.42 % (1287816)------------------------------
% 10.78/2.42 % (1287816)------------------------------
% 10.78/2.42 % (1287809)Success in time 1.484 s
% 10.78/2.42 % Vampire exiting
%------------------------------------------------------------------------------