%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT170+2 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n001.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 12:37:39 PM UTC 2026
% Result : Theorem 18.34s 3.11s
% Output : Refutation 18.34s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 32
% Syntax : Number of formulae : 160 ( 53 unt; 5 def)
% Number of atoms : 418 ( 127 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 440 ( 182 ~; 211 |; 14 &)
% ( 14 <=>; 18 =>; 0 <=; 1 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 11 ( 9 usr; 6 prp; 0-2 aty)
% Number of functors : 52 ( 52 usr; 21 con; 0-3 aty)
% Number of variables : 163 ( 0 sgn 162 !; 1 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
is_fun1420103068l_bool(arrow_912654623le_Lin),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_c_Arrow__Order__Mirabelle__wylsunqmtb_OLin) ).
fof(f202,axiom,
is_Arr723427730le_alt(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_a____) ).
fof(f203,axiom,
is_Arr723427730le_alt(b),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_b____) ).
fof(f204,axiom,
is_Arr723427730le_alt(c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',gsy_v_c____) ).
fof(f205,axiom,
hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_0__096P_A_058_AProf_096) ).
fof(f209,axiom,
hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,a),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,c),nil_Ar1135217151le_alt))))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_4_dist) ).
fof(f217,axiom,
! [X0,X1,X2,X3,X4] :
( ( is_Arr723427730le_alt(X0)
& is_Arr723427730le_alt(X1)
& is_Arr723427730le_alt(X3)
& is_Arr723427730le_alt(X4) )
=> ( X3 != X4
=> ( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),arrow_912654623le_Lin))
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X2),X3),X4)))
<=> ( X0 != X1
& ( X1 = X3
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X4)),X2)) )
& ( X1 != X3
=> ( ( X0 = X3
=> ( X1 = X4
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X2)) ) )
& ( X0 != X3
=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X1)),X2)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_12_in__below) ).
fof(f242,axiom,
! [X0,X1] : nil_Ar1135217151le_alt != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),X1),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_37_list_Osimps_I2_J) ).
fof(f247,axiom,
! [X0,X1] : hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),X1) != X1,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_42_not__Cons__self2) ).
fof(f283,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
=> ( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X0)),hAPP_A659996934l_bool(X3,X0)))
=> ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X0),X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_78_PiE) ).
fof(f467,axiom,
! [X0] : insert1969589781le_alt(X0,nil_Ar1135217151le_alt) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),nil_Ar1135217151le_alt),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_262_insert__Nil) ).
fof(f469,axiom,
! [X0,X1] :
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X0),X1))
<=> hBOOL(hAPP_A1120018583t_bool(X1,X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_264_mem__def) ).
fof(f494,axiom,
arrow_583275979e_Prof = pi_Arr1801471756t_bool(top_to207207712i_bool,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_289_Prof__def) ).
fof(f498,axiom,
! [X0,X1] :
( is_Arr723427730le_alt(X0)
=> ( X1 = nil_Ar1135217151le_alt
=> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),X1)) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_293_last__ConsL) ).
fof(f521,axiom,
! [X0] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X0),top_to207207712i_bool)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_316_UNIV__I) ).
fof(f578,axiom,
! [X0,X1,X2] : hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),X1)),X2) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_373_append__Cons) ).
fof(f580,axiom,
! [X0] : hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,nil_Ar1135217151le_alt),X0) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_375_append__Nil) ).
fof(f599,axiom,
! [X0,X1] :
( is_Arr723427730le_alt(X1)
=> last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X0),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),nil_Ar1135217151le_alt))) = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_394_last__snoc) ).
fof(f684,axiom,
! [X0] :
( X0 != nil_Ar1135217151le_alt
=> hd_Arr1814706386le_alt(rev_Ar955429983le_alt(X0)) = last_A1066338328le_alt(X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_479_hd__rev) ).
fof(f692,axiom,
! [X0] :
( rev_Ar955429983le_alt(X0) = nil_Ar1135217151le_alt
<=> X0 = nil_Ar1135217151le_alt ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_487_rev__is__Nil__conv) ).
fof(f697,axiom,
! [X0,X1] :
( rev_Ar955429983le_alt(X0) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),nil_Ar1135217151le_alt)
<=> X0 = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),nil_Ar1135217151le_alt) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_492_rev__singleton__conv) ).
fof(f719,axiom,
! [X0] : rev_Ar955429983le_alt(X0) = foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_514_rev__foldl__cons) ).
fof(f761,axiom,
! [X0,X1] :
( hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),X1)))
<=> ( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X0),set_Ar426477344le_alt(X1)))
& hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_556_distinct_Osimps_I2_J) ).
fof(f777,axiom,
! [X0] :
( X0 != nil_Ar1135217151le_alt
=> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,last_A1066338328le_alt(X0)),set_Ar426477344le_alt(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_572_last__in__set) ).
fof(f794,axiom,
! [X0] :
( X0 != nil_Ar1135217151le_alt
=> hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hd_Arr1814706386le_alt(X0)),set_Ar426477344le_alt(X0))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_589_hd__in__set) ).
fof(f958,axiom,
! [X0,X1] :
( is_fun1420103068l_bool(X0)
=> hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X0),X1) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',help_COMBK_1_1_COMBK_000tc__fun_Itc__fun_Itc__prod_Itc__Arrow____Order____Mirabe_097) ).
fof(f1012,conjecture,
! [X0] :
( is_Arr859726945e_indi(X0)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,X0)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),c)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,hAPP_A340536322t_bool(p,X0)),c),b))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f1013,negated_conjecture,
~ ! [X0] :
( is_Arr859726945e_indi(X0)
=> ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,X0)))
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),c)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,hAPP_A340536322t_bool(p,X0)),c),b))) ) ),
inference(negated_conjecture,[status(cth)],[f1012]) ).
fof(f1121,plain,
! [X0,X1,X2,X3,X4] :
( ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X2),X3),X4)))
<=> ( X0 != X1
& ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X4)),X2))
| X1 != X3 )
& ( ( ( X1 = X4
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X2))
| X0 != X3 )
& ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X1)),X2))
| X0 = X3 ) )
| X1 = X3 ) ) )
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),arrow_912654623le_Lin))
| X3 = X4
| ~ is_Arr723427730le_alt(X0)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X4) ),
inference(ennf_transformation,[],[f217]) ).
fof(f1122,plain,
! [X0,X1,X2,X3,X4] :
( ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X2),X3),X4)))
<=> ( X0 != X1
& ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X4)),X2))
| X1 != X3 )
& ( ( ( X1 = X4
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X4),X1)),X2))
| X0 != X3 )
& ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X1)),X2))
| X0 = X3 ) )
| X1 = X3 ) ) )
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),arrow_912654623le_Lin))
| X3 = X4
| ~ is_Arr723427730le_alt(X0)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X4) ),
inference(flattening,[],[f1121]) ).
fof(f1223,plain,
! [X0,X1,X2,X3] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X0),X2))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X0)),hAPP_A659996934l_bool(X3,X0)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3))) ),
inference(ennf_transformation,[],[f283]) ).
fof(f1224,plain,
! [X0,X1,X2,X3] :
( ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X0),X2))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X0)),hAPP_A659996934l_bool(X3,X0)))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3))) ),
inference(flattening,[],[f1223]) ).
fof(f1576,plain,
! [X0,X1] :
( last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),X1)) = X0
| nil_Ar1135217151le_alt != X1
| ~ is_Arr723427730le_alt(X0) ),
inference(ennf_transformation,[],[f498]) ).
fof(f1577,plain,
! [X0,X1] :
( last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),X1)) = X0
| nil_Ar1135217151le_alt != X1
| ~ is_Arr723427730le_alt(X0) ),
inference(flattening,[],[f1576]) ).
fof(f1621,plain,
! [X0,X1] :
( last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X0),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),nil_Ar1135217151le_alt))) = X1
| ~ is_Arr723427730le_alt(X1) ),
inference(ennf_transformation,[],[f599]) ).
fof(f1701,plain,
! [X0] :
( hd_Arr1814706386le_alt(rev_Ar955429983le_alt(X0)) = last_A1066338328le_alt(X0)
| nil_Ar1135217151le_alt = X0 ),
inference(ennf_transformation,[],[f684]) ).
fof(f1801,plain,
! [X0] :
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,last_A1066338328le_alt(X0)),set_Ar426477344le_alt(X0)))
| nil_Ar1135217151le_alt = X0 ),
inference(ennf_transformation,[],[f777]) ).
fof(f1819,plain,
! [X0] :
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hd_Arr1814706386le_alt(X0)),set_Ar426477344le_alt(X0)))
| nil_Ar1135217151le_alt = X0 ),
inference(ennf_transformation,[],[f794]) ).
fof(f1980,plain,
! [X0,X1] :
( hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X0),X1) = X0
| ~ is_fun1420103068l_bool(X0) ),
inference(ennf_transformation,[],[f958]) ).
fof(f2001,plain,
? [X0] :
( ( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,X0)))
<~> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),c)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,hAPP_A340536322t_bool(p,X0)),c),b))) )
& is_Arr859726945e_indi(X0) ),
inference(ennf_transformation,[],[f1013]) ).
fof(f2003,plain,
is_fun1420103068l_bool(arrow_912654623le_Lin),
inference(cnf_transformation,[],[f2]) ).
fof(f2203,plain,
is_Arr723427730le_alt(a),
inference(cnf_transformation,[],[f202]) ).
fof(f2204,plain,
is_Arr723427730le_alt(b),
inference(cnf_transformation,[],[f203]) ).
fof(f2205,plain,
is_Arr723427730le_alt(c),
inference(cnf_transformation,[],[f204]) ).
fof(f2206,plain,
hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof)),
inference(cnf_transformation,[],[f205]) ).
fof(f2210,plain,
hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,a),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,c),nil_Ar1135217151le_alt))))),
inference(cnf_transformation,[],[f209]) ).
fof(f2242,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X0)
| X3 = X4
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),arrow_912654623le_Lin))
| X1 != X3
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X4)),X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X2),X3),X4))) ),
inference(cnf_transformation,[],[f1122]) ).
fof(f2243,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X1)
| ~ is_Arr723427730le_alt(X0)
| X3 = X4
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),arrow_912654623le_Lin))
| X1 != X3
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X4)),X2))
| X0 = X1
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X1)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X2),X3),X4))) ),
inference(cnf_transformation,[],[f1122]) ).
fof(f2329,plain,
! [X0,X1] : nil_Ar1135217151le_alt != hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),X1),
inference(cnf_transformation,[],[f242]) ).
fof(f2340,plain,
! [X0,X1] : hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),X1) != X1,
inference(cnf_transformation,[],[f247]) ).
fof(f2382,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X1),pi_Arr1801471756t_bool(X2,X3)))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X1,X0)),hAPP_A659996934l_bool(X3,X0)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X0),X2)) ),
inference(cnf_transformation,[],[f1224]) ).
fof(f2792,plain,
! [X0] : hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),nil_Ar1135217151le_alt) = insert1969589781le_alt(X0,nil_Ar1135217151le_alt),
inference(cnf_transformation,[],[f467]) ).
fof(f2794,plain,
! [X0,X1] :
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X0),X1))
| ~ hBOOL(hAPP_A1120018583t_bool(X1,X0)) ),
inference(cnf_transformation,[],[f469]) ).
fof(f2795,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X0),X1))
| hBOOL(hAPP_A1120018583t_bool(X1,X0)) ),
inference(cnf_transformation,[],[f469]) ).
fof(f2839,plain,
arrow_583275979e_Prof = pi_Arr1801471756t_bool(top_to207207712i_bool,hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin)),
inference(cnf_transformation,[],[f494]) ).
fof(f2849,plain,
! [X0,X1] :
( ~ is_Arr723427730le_alt(X0)
| nil_Ar1135217151le_alt != X1
| last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),X1)) = X0 ),
inference(cnf_transformation,[],[f1577]) ).
fof(f2884,plain,
! [X0] : hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X0),top_to207207712i_bool)),
inference(cnf_transformation,[],[f521]) ).
fof(f2972,plain,
! [X2,X0,X1] : hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),X1)),X2) = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X1),X2)),
inference(cnf_transformation,[],[f578]) ).
fof(f2974,plain,
! [X0] : hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,nil_Ar1135217151le_alt),X0) = X0,
inference(cnf_transformation,[],[f580]) ).
fof(f3015,plain,
! [X0,X1] :
( ~ is_Arr723427730le_alt(X1)
| last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X0),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),nil_Ar1135217151le_alt))) = X1 ),
inference(cnf_transformation,[],[f1621]) ).
fof(f3223,plain,
! [X0] :
( nil_Ar1135217151le_alt = X0
| last_A1066338328le_alt(X0) = hd_Arr1814706386le_alt(rev_Ar955429983le_alt(X0)) ),
inference(cnf_transformation,[],[f1701]) ).
fof(f3232,plain,
! [X0] :
( nil_Ar1135217151le_alt = X0
| nil_Ar1135217151le_alt != rev_Ar955429983le_alt(X0) ),
inference(cnf_transformation,[],[f692]) ).
fof(f3239,plain,
! [X0,X1] :
( hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),nil_Ar1135217151le_alt) != X0
| hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),nil_Ar1135217151le_alt) = rev_Ar955429983le_alt(X0) ),
inference(cnf_transformation,[],[f697]) ).
fof(f3264,plain,
! [X0] : rev_Ar955429983le_alt(X0) = foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X0),
inference(cnf_transformation,[],[f719]) ).
fof(f3318,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),X1)))
| hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,X1)) ),
inference(cnf_transformation,[],[f761]) ).
fof(f3319,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,X0),set_Ar426477344le_alt(X1)))
| ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),X1))) ),
inference(cnf_transformation,[],[f761]) ).
fof(f3350,plain,
! [X0] :
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,last_A1066338328le_alt(X0)),set_Ar426477344le_alt(X0)))
| nil_Ar1135217151le_alt = X0 ),
inference(cnf_transformation,[],[f1801]) ).
fof(f3378,plain,
! [X0] :
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,hd_Arr1814706386le_alt(X0)),set_Ar426477344le_alt(X0)))
| nil_Ar1135217151le_alt = X0 ),
inference(cnf_transformation,[],[f1819]) ).
fof(f3655,plain,
! [X0,X1] :
( ~ is_fun1420103068l_bool(X0)
| hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X0),X1) = X0 ),
inference(cnf_transformation,[],[f1980]) ).
fof(f3709,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),c)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,hAPP_A340536322t_bool(p,sK290)),c),b)))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,sK290))) ),
inference(cnf_transformation,[],[f2001]) ).
fof(f3710,plain,
( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),c)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,hAPP_A340536322t_bool(p,sK290)),c),b)))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,sK290))) ),
inference(cnf_transformation,[],[f2001]) ).
fof(f3735,plain,
! [X0] :
( last_A1066338328le_alt(X0) = hd_Arr1814706386le_alt(foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X0))
| nil_Ar1135217151le_alt = X0 ),
inference(definition_unfolding,[],[f3223,f3264]) ).
fof(f3737,plain,
! [X0] :
( nil_Ar1135217151le_alt != foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X0)
| nil_Ar1135217151le_alt = X0 ),
inference(definition_unfolding,[],[f3232,f3264]) ).
fof(f3745,plain,
! [X0,X1] :
( hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),nil_Ar1135217151le_alt) != X0
| hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),nil_Ar1135217151le_alt) = foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X0) ),
inference(definition_unfolding,[],[f3239,f3264]) ).
fof(f3770,plain,
! [X2,X3,X0,X4] :
( ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X0)
| X3 = X4
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X4)),X2))
| X0 = X3
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X2),X3),X4))) ),
inference(equality_resolution,[],[f2243]) ).
fof(f3771,plain,
! [X2,X3,X0,X4] :
( ~ is_Arr723427730le_alt(X4)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X0)
| X3 = X4
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),arrow_912654623le_Lin))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X4)),X2))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X2),X3),X4))) ),
inference(equality_resolution,[],[f2242]) ).
fof(f3808,plain,
! [X0] :
( ~ is_Arr723427730le_alt(X0)
| last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),nil_Ar1135217151le_alt)) = X0 ),
inference(equality_resolution,[],[f2849]) ).
fof(f3884,plain,
! [X1] : hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),nil_Ar1135217151le_alt) = foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X1),nil_Ar1135217151le_alt)),
inference(equality_resolution,[],[f3745]) ).
fof(f3913,plain,
~ is_fun1420103068l_bool(arrow_912654623le_Lin),
inference(consistent_polarity_flipping,[],[f2003]) ).
fof(f4192,plain,
! [X0,X1] :
( is_fun1420103068l_bool(X0)
| hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,X0),X1) = X0 ),
inference(consistent_polarity_flipping,[],[f3655]) ).
fof(f4235,plain,
! [X2,X3,X0,X4] :
( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X2),X3),X4)))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X0)
| X3 = X4
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),arrow_912654623le_Lin))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X4)),X2))
| ~ is_Arr723427730le_alt(X4) ),
inference(duplicate_literal_removal,[],[f3771]) ).
fof(f4236,plain,
! [X2,X3,X0,X4] :
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X3)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,X2),X3),X4)))
| ~ is_Arr723427730le_alt(X3)
| ~ is_Arr723427730le_alt(X0)
| X3 = X4
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,X2),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,X0),X4)),X2))
| X0 = X3
| ~ is_Arr723427730le_alt(X4) ),
inference(duplicate_literal_removal,[],[f3770]) ).
fof(f4245,definition,
( spl291_1
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,sK290))) ),
introduced(definition,[new_symbols(definition,[spl291_1])],[avatar_definition]) ).
fof(f4246,plain,
( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,sK290)))
| spl291_1 ),
inference(avatar_component_clause,[],[f4245]) ).
fof(f4247,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,sK290)))
| ~ spl291_1 ),
inference(avatar_component_clause,[],[f4245]) ).
fof(f4249,definition,
( spl291_2
<=> hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),c)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,hAPP_A340536322t_bool(p,sK290)),c),b))) ),
introduced(definition,[new_symbols(definition,[spl291_2])],[avatar_definition]) ).
fof(f4250,plain,
( ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),c)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,hAPP_A340536322t_bool(p,sK290)),c),b)))
| spl291_2 ),
inference(avatar_component_clause,[],[f4249]) ).
fof(f4251,plain,
( hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),c)),hAPP_A1014090479t_bool(hAPP_A28770973t_bool(hAPP_f684072049t_bool(arrow_207701375_below,hAPP_A340536322t_bool(p,sK290)),c),b)))
| ~ spl291_2 ),
inference(avatar_component_clause,[],[f4249]) ).
fof(f4252,plain,
( spl291_1
| spl291_2 ),
inference(avatar_split_clause,[],[f3709,f4249,f4245]) ).
fof(f4253,plain,
( ~ spl291_1
| ~ spl291_2 ),
inference(avatar_split_clause,[],[f3710,f4249,f4245]) ).
fof(f4515,plain,
! [X0] : nil_Ar1135217151le_alt != insert1969589781le_alt(X0,nil_Ar1135217151le_alt),
inference(superposition,[],[f2340,f2792]) ).
fof(f5191,plain,
! [X0] : arrow_912654623le_Lin = hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin),X0),
inference(resolution,[],[f4192,f3913]) ).
fof(f5565,plain,
! [X0] :
( ~ is_Arr723427730le_alt(X0)
| last_A1066338328le_alt(insert1969589781le_alt(X0,nil_Ar1135217151le_alt)) = X0 ),
inference(forward_demodulation,[],[f3808,f2792]) ).
fof(f5575,plain,
c = last_A1066338328le_alt(insert1969589781le_alt(c,nil_Ar1135217151le_alt)),
inference(resolution,[],[f5565,f2205]) ).
fof(f5652,plain,
! [X0] :
( hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X0),last_A1066338328le_alt(X0)))
| nil_Ar1135217151le_alt = X0 ),
inference(resolution,[],[f3350,f2795]) ).
fof(f9481,plain,
! [X0] :
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,last_A1066338328le_alt(X0)),set_Ar426477344le_alt(foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X0))))
| nil_Ar1135217151le_alt = foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X0)
| nil_Ar1135217151le_alt = X0 ),
inference(superposition,[],[f3378,f3735]) ).
fof(f9483,plain,
! [X0] :
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,last_A1066338328le_alt(X0)),set_Ar426477344le_alt(foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,X0))))
| nil_Ar1135217151le_alt = X0 ),
inference(forward_subsumption_resolution,[],[f9481,f3737]) ).
fof(f9552,plain,
! [X0,X1] :
( ~ is_Arr723427730le_alt(X1)
| last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X0),insert1969589781le_alt(X1,nil_Ar1135217151le_alt))) = X1 ),
inference(forward_demodulation,[],[f3015,f2792]) ).
fof(f9562,plain,
! [X0] : c = last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,X0),insert1969589781le_alt(c,nil_Ar1135217151le_alt))),
inference(resolution,[],[f9552,f2205]) ).
fof(f10082,plain,
hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,a),hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),insert1969589781le_alt(c,nil_Ar1135217151le_alt))))),
inference(forward_demodulation,[],[f2210,f2792]) ).
fof(f10084,plain,
hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),insert1969589781le_alt(c,nil_Ar1135217151le_alt)))),
inference(resolution,[],[f10082,f3318]) ).
fof(f10275,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),X1)))
| ~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(X1),X0)) ),
inference(resolution,[],[f3319,f2794]) ).
fof(f10465,plain,
! [X1] : insert1969589781le_alt(X1,nil_Ar1135217151le_alt) = foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,insert1969589781le_alt(X1,nil_Ar1135217151le_alt)),
inference(forward_demodulation,[],[f3884,f2792]) ).
fof(f12009,plain,
! [X0,X1] : hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,nil_Ar1135217151le_alt),X1)) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,insert1969589781le_alt(X0,nil_Ar1135217151le_alt)),X1),
inference(superposition,[],[f2972,f2792]) ).
fof(f12036,plain,
! [X0,X1] : hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),X1) = hAPP_l372964747le_alt(hAPP_l1390889510le_alt(append28105492le_alt,insert1969589781le_alt(X0,nil_Ar1135217151le_alt)),X1),
inference(forward_demodulation,[],[f12009,f2974]) ).
fof(f13956,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X0),arrow_583275979e_Prof))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X0,X1)),hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin),X1)))
| ~ hBOOL(hAPP_f160177134l_bool(hAPP_A45661955l_bool(member161528657e_indi,X1),top_to207207712i_bool)) ),
inference(superposition,[],[f2382,f2839]) ).
fof(f13959,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X0),arrow_583275979e_Prof))
| hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X0,X1)),hAPP_A659996934l_bool(hAPP_f1639180358l_bool(cOMBK_350223551e_indi,arrow_912654623le_Lin),X1))) ),
inference(forward_subsumption_resolution,[],[f13956,f2884]) ).
fof(f13961,plain,
! [X0,X1] :
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(X0,X1)),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,X0),arrow_583275979e_Prof)) ),
inference(forward_demodulation,[],[f13959,f5191]) ).
fof(f17531,definition,
( spl291_236
<=> a = c ),
introduced(definition,[new_symbols(definition,[spl291_236])],[avatar_definition]) ).
fof(f17533,plain,
( a = c
| ~ spl291_236 ),
inference(avatar_component_clause,[],[f17531]) ).
fof(f18519,plain,
( ~ is_Arr723427730le_alt(c)
| ~ is_Arr723427730le_alt(a)
| b = c
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(p,sK290)),arrow_912654623le_Lin))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,sK290)))
| ~ is_Arr723427730le_alt(b)
| ~ spl291_2 ),
inference(resolution,[],[f4235,f4251]) ).
fof(f18533,plain,
( ~ is_Arr723427730le_alt(a)
| b = c
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(p,sK290)),arrow_912654623le_Lin))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,sK290)))
| ~ is_Arr723427730le_alt(b)
| ~ spl291_2 ),
inference(forward_subsumption_resolution,[],[f18519,f2205]) ).
fof(f18538,plain,
( b = c
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(p,sK290)),arrow_912654623le_Lin))
| hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,sK290)))
| ~ is_Arr723427730le_alt(b)
| ~ spl291_2 ),
inference(forward_subsumption_resolution,[],[f18533,f2203]) ).
fof(f18543,plain,
( b = c
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(p,sK290)),arrow_912654623le_Lin))
| ~ is_Arr723427730le_alt(b)
| spl291_1
| ~ spl291_2 ),
inference(forward_subsumption_resolution,[],[f18538,f4246]) ).
fof(f18546,plain,
( b = c
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(p,sK290)),arrow_912654623le_Lin))
| spl291_1
| ~ spl291_2 ),
inference(forward_subsumption_resolution,[],[f18543,f2204]) ).
fof(f18550,definition,
( spl291_249
<=> hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(p,sK290)),arrow_912654623le_Lin)) ),
introduced(definition,[new_symbols(definition,[spl291_249])],[avatar_definition]) ).
fof(f18551,plain,
( hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(p,sK290)),arrow_912654623le_Lin))
| ~ spl291_249 ),
inference(avatar_component_clause,[],[f18550]) ).
fof(f18552,plain,
( ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(p,sK290)),arrow_912654623le_Lin))
| spl291_249 ),
inference(avatar_component_clause,[],[f18550]) ).
fof(f18554,definition,
( spl291_250
<=> b = c ),
introduced(definition,[new_symbols(definition,[spl291_250])],[avatar_definition]) ).
fof(f18556,plain,
( b = c
| ~ spl291_250 ),
inference(avatar_component_clause,[],[f18554]) ).
fof(f18557,plain,
( ~ spl291_249
| spl291_250
| spl291_1
| ~ spl291_2 ),
inference(avatar_split_clause,[],[f18546,f4249,f4245,f18554,f18550]) ).
fof(f79538,plain,
~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),insert1969589781le_alt(c,nil_Ar1135217151le_alt))),a)),
inference(resolution,[],[f10275,f10082]) ).
fof(f79559,plain,
( ~ hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),insert1969589781le_alt(a,nil_Ar1135217151le_alt))),a))
| ~ spl291_236 ),
inference(forward_demodulation,[],[f79538,f17533]) ).
fof(f80020,plain,
! [X0] : c = last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),insert1969589781le_alt(c,nil_Ar1135217151le_alt))),
inference(superposition,[],[f9562,f12036]) ).
fof(f80035,plain,
( ! [X0] : a = last_A1066338328le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),insert1969589781le_alt(a,nil_Ar1135217151le_alt)))
| ~ spl291_236 ),
inference(forward_demodulation,[],[f80020,f17533]) ).
fof(f80097,plain,
( ! [X0] :
( hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),insert1969589781le_alt(a,nil_Ar1135217151le_alt))),a))
| nil_Ar1135217151le_alt = hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),insert1969589781le_alt(a,nil_Ar1135217151le_alt)) )
| ~ spl291_236 ),
inference(superposition,[],[f5652,f80035]) ).
fof(f80108,plain,
( ! [X0] : hBOOL(hAPP_A1120018583t_bool(set_Ar426477344le_alt(hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,X0),insert1969589781le_alt(a,nil_Ar1135217151le_alt))),a))
| ~ spl291_236 ),
inference(forward_subsumption_resolution,[],[f80097,f2329]) ).
fof(f83285,plain,
( ~ hBOOL(hAPP_f147218624l_bool(hAPP_f621397159l_bool(member1265098019t_bool,p),arrow_583275979e_Prof))
| spl291_249 ),
inference(resolution,[],[f13961,f18552]) ).
fof(f83344,plain,
( $false
| spl291_249 ),
inference(forward_subsumption_resolution,[],[f83285,f2206]) ).
fof(f83345,plain,
spl291_249,
inference(avatar_contradiction_clause,[],[f83344]) ).
fof(f90995,plain,
( $false
| ~ spl291_236 ),
inference(backward_subsumption_resolution,[],[f79559,f80108]) ).
fof(f91001,plain,
~ spl291_236,
inference(avatar_contradiction_clause,[],[f90995]) ).
fof(f91146,plain,
( ~ is_Arr723427730le_alt(c)
| ~ is_Arr723427730le_alt(a)
| b = c
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(p,sK290)),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,sK290)))
| a = c
| ~ is_Arr723427730le_alt(b)
| spl291_2 ),
inference(resolution,[],[f4250,f4236]) ).
fof(f91148,plain,
( ~ is_Arr723427730le_alt(a)
| b = c
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(p,sK290)),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,sK290)))
| a = c
| ~ is_Arr723427730le_alt(b)
| spl291_2 ),
inference(forward_subsumption_resolution,[],[f91146,f2205]) ).
fof(f91149,plain,
( b = c
| ~ hBOOL(hAPP_f560517119l_bool(hAPP_f1332197581l_bool(member1704306684t_bool,hAPP_A340536322t_bool(p,sK290)),arrow_912654623le_Lin))
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,sK290)))
| a = c
| ~ is_Arr723427730le_alt(b)
| spl291_2 ),
inference(forward_subsumption_resolution,[],[f91148,f2203]) ).
fof(f91150,plain,
( b = c
| ~ hBOOL(hAPP_f1733357041l_bool(hAPP_P1151433609l_bool(member720722004le_alt,hAPP_A1561816353le_alt(hAPP_A1171966089le_alt(produc1456060119le_alt,a),b)),hAPP_A340536322t_bool(p,sK290)))
| a = c
| ~ is_Arr723427730le_alt(b)
| spl291_2
| ~ spl291_249 ),
inference(forward_subsumption_resolution,[],[f91149,f18551]) ).
fof(f91151,plain,
( b = c
| a = c
| ~ is_Arr723427730le_alt(b)
| ~ spl291_1
| spl291_2
| ~ spl291_249 ),
inference(forward_subsumption_resolution,[],[f91150,f4247]) ).
fof(f91152,plain,
( b = c
| a = c
| ~ spl291_1
| spl291_2
| ~ spl291_249 ),
inference(forward_subsumption_resolution,[],[f91151,f2204]) ).
fof(f91153,plain,
( spl291_236
| spl291_250
| ~ spl291_1
| spl291_2
| ~ spl291_249 ),
inference(avatar_split_clause,[],[f91152,f18550,f4249,f4245,f18554,f17531]) ).
fof(f91168,plain,
( hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),insert1969589781le_alt(b,nil_Ar1135217151le_alt))))
| ~ spl291_250 ),
inference(superposition,[],[f10084,f18556]) ).
fof(f97253,plain,
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,c),set_Ar426477344le_alt(foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,insert1969589781le_alt(c,nil_Ar1135217151le_alt)))))
| nil_Ar1135217151le_alt = insert1969589781le_alt(c,nil_Ar1135217151le_alt) ),
inference(superposition,[],[f9483,f5575]) ).
fof(f97335,plain,
hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,c),set_Ar426477344le_alt(foldl_107212092le_alt(hAPP_f18365135le_alt(cOMBC_1169281096le_alt,cons_A77766063le_alt),nil_Ar1135217151le_alt,insert1969589781le_alt(c,nil_Ar1135217151le_alt))))),
inference(forward_subsumption_resolution,[],[f97253,f4515]) ).
fof(f97389,plain,
hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,c),set_Ar426477344le_alt(insert1969589781le_alt(c,nil_Ar1135217151le_alt)))),
inference(forward_demodulation,[],[f97335,f10465]) ).
fof(f97400,plain,
( hBOOL(hAPP_f87553445l_bool(hAPP_A86021709l_bool(member2080870050le_alt,b),set_Ar426477344le_alt(insert1969589781le_alt(b,nil_Ar1135217151le_alt))))
| ~ spl291_250 ),
inference(forward_demodulation,[],[f97389,f18556]) ).
fof(f97403,plain,
( ~ hBOOL(hAPP_l300482276t_bool(distin85347314le_alt,hAPP_l372964747le_alt(hAPP_A1660609715le_alt(cons_A77766063le_alt,b),insert1969589781le_alt(b,nil_Ar1135217151le_alt))))
| ~ spl291_250 ),
inference(resolution,[],[f97400,f3319]) ).
fof(f97414,plain,
( $false
| ~ spl291_250 ),
inference(forward_subsumption_resolution,[],[f97403,f91168]) ).
fof(f97415,plain,
~ spl291_250,
inference(avatar_contradiction_clause,[],[f97414]) ).
cnf(s1,plain,
( spl291_1
| spl291_2 ),
inference(sat_conversion,[],[f4252]) ).
cnf(s2,plain,
( ~ spl291_1
| ~ spl291_2 ),
inference(sat_conversion,[],[f4253]) ).
cnf(s1142,plain,
( spl291_1
| ~ spl291_2
| ~ spl291_249
| spl291_250 ),
inference(sat_conversion,[],[f18557]) ).
cnf(s6117,plain,
spl291_249,
inference(sat_conversion,[],[f83345]) ).
cnf(s6657,plain,
~ spl291_236,
inference(sat_conversion,[],[f91001]) ).
cnf(s6712,plain,
( ~ spl291_1
| spl291_2
| spl291_236
| ~ spl291_249
| spl291_250 ),
inference(sat_conversion,[],[f91153]) ).
cnf(s6756,plain,
~ spl291_250,
inference(sat_conversion,[],[f97415]) ).
cnf(s6758,plain,
( ~ spl291_1
| spl291_2
| spl291_236
| ~ spl291_249 ),
inference(rat,[],[s6712,s6756]) ).
cnf(s6841,plain,
( spl291_1
| ~ spl291_2 ),
inference(rat,[],[s1142,s6756,s6117]) ).
cnf(s7508,plain,
spl291_1,
inference(rat,[],[s1,s6841]) ).
cnf(s7509,plain,
spl291_2,
inference(rat,[],[s6758,s6117,s6657,s7508]) ).
cnf(s7517,plain,
$false,
inference(rat,[],[s2,s7509,s7508]) ).
fof(f97416,plain,
$false,
inference(avatar_sat_refutation,[],[s7517]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT170+2 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.37 % Computer : n001.cluster.edu
% 0.05/0.37 % Model : x86_64 x86_64
% 0.05/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.05/0.37 % Memory : 8046.5625MB
% 0.05/0.37 % OS : Linux 6.8.0-71-generic
% 0.05/0.37 % CPULimit : 300
% 0.05/0.37 % WCLimit : 300
% 0.05/0.37 % DateTime : Mon Sep 28 00:01:17 UTC 2026
% 0.05/0.37 % CPUTime :
% 0.05/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.05/0.40 Running first-order model finding
% 0.05/0.40 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 11.24/2.06 % (4095313)Will run a generic schedule for satisfiability detection.
% 11.24/2.06 % (4095322)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2062316209:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 11.24/2.06 % (4095319)% WARNING: option uhcvi not known.
% 11.24/2.06 % (4095321)dis+10_1_sil=32000:sp=arity:random_seed=3309738833:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 11.24/2.06 % (4095318)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1743113696_2999 on theBenchmark for (2999ds/0Mi)
% 11.24/2.06 % (4095319)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1207166991:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 11.24/2.06 % (4095320)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2176175419:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 11.24/2.06 % (4095323)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2885722560:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 11.24/2.06 % (4095324)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=70223332:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 11.24/2.06 % (4095322)Instruction limit reached!
% 11.24/2.06 % (4095322)------------------------------
% 11.24/2.06 % (4095322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.24/2.06 % (4095322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/2.06 % (4095322)CaDiCaL version: 2.1.3
% 11.24/2.06 % (4095322)Termination reason: Instruction limit
% 11.24/2.06 % (4095322)Termination phase: Property scanning
% 11.24/2.06 % (4095322)Time elapsed: 0.031 s
% 11.24/2.06 % (4095322)Peak memory usage: 14 MB
% 11.24/2.06 % (4095322)Instructions burned: 121 (million)
% 11.24/2.06 % (4095332)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=517352884:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 11.24/2.06 % (4095321)Instruction limit reached!
% 11.24/2.06 % (4095321)------------------------------
% 11.24/2.06 % (4095321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.24/2.06 % (4095321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/2.06 % (4095321)CaDiCaL version: 2.1.3
% 11.24/2.06 % (4095321)Termination reason: Instruction limit
% 11.24/2.06 % (4095321)Termination phase: Saturation
% 11.24/2.06 % (4095321)Time elapsed: 0.048 s
% 11.24/2.06 % (4095321)Peak memory usage: 14 MB
% 11.24/2.06 % (4095321)Instructions burned: 104 (million)
% 11.24/2.06 % (4095323)Instruction limit reached!
% 11.24/2.06 % (4095323)------------------------------
% 11.24/2.06 % (4095323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.24/2.06 % (4095323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/2.06 % (4095323)CaDiCaL version: 2.1.3
% 11.24/2.06 % (4095323)Termination reason: Instruction limit
% 11.24/2.06 % (4095323)Termination phase: Saturation
% 11.24/2.06 % (4095323)Time elapsed: 0.065 s
% 11.24/2.06 % (4095323)Peak memory usage: 15 MB
% 11.24/2.06 % (4095323)Instructions burned: 132 (million)
% 11.24/2.06 % (4095334)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=3458943382:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 11.24/2.06 % (4095324)Instruction limit reached!
% 11.24/2.06 % (4095324)------------------------------
% 11.24/2.06 % (4095324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.24/2.06 % (4095324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/2.06 % (4095324)CaDiCaL version: 2.1.3
% 11.24/2.06 % (4095324)Termination reason: Instruction limit
% 11.24/2.06 % (4095324)Termination phase: Saturation
% 11.24/2.06 % (4095324)Time elapsed: 0.081 s
% 11.24/2.06 % (4095324)Peak memory usage: 16 MB
% 11.24/2.06 % (4095324)Instructions burned: 160 (million)
% 11.24/2.06 % (4095335)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=113528744:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 11.24/2.06 % (4095337)ott-21_1_sil=16000:fs=off:random_seed=3404915256:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 11.24/2.06 % (4095334)Instruction limit reached!
% 11.24/2.06 % (4095334)------------------------------
% 11.24/2.06 % (4095334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 11.24/2.06 % (4095334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.24/2.06 % (4095334)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095334)Termination reason: Instruction limit
% 18.34/3.11 % (4095334)Termination phase: Property scanning
% 18.34/3.11 % (4095334)Time elapsed: 0.060 s
% 18.34/3.11 % (4095334)Peak memory usage: 14 MB
% 18.34/3.11 % (4095334)Instructions burned: 133 (million)
% 18.34/3.11 % (4095340)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=1122049497:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 18.34/3.11 % (4095337)Instruction limit reached!
% 18.34/3.11 % (4095337)------------------------------
% 18.34/3.11 % (4095337)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.11 % (4095337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.11 % (4095337)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095337)Termination reason: Instruction limit
% 18.34/3.11 % (4095337)Termination phase: Saturation
% 18.34/3.11 % (4095337)Time elapsed: 0.082 s
% 18.34/3.11 % (4095337)Peak memory usage: 15 MB
% 18.34/3.11 % (4095337)Instructions burned: 181 (million)
% 18.34/3.11 % (4095342)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=1376042844:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 18.34/3.11 % (4095332)Instruction limit reached!
% 18.34/3.11 % (4095332)------------------------------
% 18.34/3.11 % (4095332)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.11 % (4095332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.11 % (4095332)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095332)Termination reason: Instruction limit
% 18.34/3.11 % (4095332)Termination phase: Finite model building preprocessing
% 18.34/3.11 % (4095332)Time elapsed: 0.187 s
% 18.34/3.11 % (4095332)Peak memory usage: 27 MB
% 18.34/3.11 % (4095332)Instructions burned: 718 (million)
% 18.34/3.11 % (4095344)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3055203789:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 18.34/3.11 % (4095340)Instruction limit reached!
% 18.34/3.11 % (4095340)------------------------------
% 18.34/3.11 % (4095340)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.11 % (4095340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.11 % (4095340)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095340)Termination reason: Instruction limit
% 18.34/3.11 % (4095340)Termination phase: Saturation
% 18.34/3.11 % (4095340)Time elapsed: 0.257 s
% 18.34/3.11 % (4095340)Peak memory usage: 17 MB
% 18.34/3.11 % (4095340)Instructions burned: 478 (million)
% 18.34/3.11 % (4095335)Instruction limit reached!
% 18.34/3.11 % (4095335)------------------------------
% 18.34/3.11 % (4095335)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.11 % (4095335)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.11 % (4095335)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095335)Termination reason: Instruction limit
% 18.34/3.11 % (4095335)Termination phase: Saturation
% 18.34/3.11 % (4095335)Time elapsed: 0.332 s
% 18.34/3.11 % (4095335)Peak memory usage: 20 MB
% 18.34/3.11 % (4095335)Instructions burned: 686 (million)
% 18.34/3.11 % (4095346)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=2381735467:i=889:ins=1_2995 on theBenchmark for (2995ds/889Mi)
% 18.34/3.11 % (4095347)ott+1_16_sil=32000:plsq=on:plsqc=2:sas=cadical:avsql=on:sp=reverse_frequency:plsqr=128,1:bsr=unit_only:rp=on:newcnf=on:random_seed=2426650850:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2995 on theBenchmark for (2995ds/692Mi)
% 18.34/3.11 % (4095344)Instruction limit reached!
% 18.34/3.11 % (4095344)------------------------------
% 18.34/3.11 % (4095344)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.11 % (4095344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.11 % (4095344)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095344)Termination reason: Instruction limit
% 18.34/3.11 % (4095344)Termination phase: Saturation
% 18.34/3.11 % (4095344)Time elapsed: 0.372 s
% 18.34/3.11 % (4095344)Peak memory usage: 32 MB
% 18.34/3.11 % (4095344)Instructions burned: 1179 (million)
% 18.34/3.11 % (4095350)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=1621437579:i=879:kws=inv_precedence:fsr=off_2993 on theBenchmark for (2993ds/879Mi)
% 18.34/3.11 % (4095342)Instruction limit reached!
% 18.34/3.11 % (4095342)------------------------------
% 18.34/3.11 % (4095342)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.11 % (4095342)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.11 % (4095342)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095342)Termination reason: Instruction limit
% 18.34/3.11 % (4095342)Termination phase: Finite model building preprocessing
% 18.34/3.11 % (4095342)Time elapsed: 0.419 s
% 18.34/3.11 % (4095342)Peak memory usage: 24 MB
% 18.34/3.11 % (4095342)Instructions burned: 867 (million)
% 18.34/3.11 % (4095352)fmb+10_1_sil=64000:random_seed=3371040755:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 18.34/3.11 % TRYING [1]
% 18.34/3.11 % TRYING [2]
% 18.34/3.11 % (4095350)Instruction limit reached!
% 18.34/3.11 % (4095350)------------------------------
% 18.34/3.11 % (4095350)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.11 % (4095350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.11 % (4095350)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095350)Termination reason: Instruction limit
% 18.34/3.11 % (4095350)Termination phase: Saturation
% 18.34/3.11 % (4095350)Time elapsed: 0.221 s
% 18.34/3.11 % (4095350)Peak memory usage: 23 MB
% 18.34/3.11 % (4095350)Instructions burned: 882 (million)
% 18.34/3.11 % (4095347)Instruction limit reached!
% 18.34/3.11 % (4095347)------------------------------
% 18.34/3.11 % (4095347)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.11 % (4095347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.11 % (4095347)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095347)Termination reason: Instruction limit
% 18.34/3.11 % (4095347)Termination phase: Saturation
% 18.34/3.11 % (4095347)Time elapsed: 0.405 s
% 18.34/3.11 % (4095347)Peak memory usage: 23 MB
% 18.34/3.11 % (4095347)Instructions burned: 692 (million)
% 18.34/3.11 % (4095354)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=1479956640:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 18.34/3.11 % (4095346)Instruction limit reached!
% 18.34/3.11 % (4095346)------------------------------
% 18.34/3.11 % (4095346)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.11 % (4095346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.11 % (4095346)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095346)Termination reason: Instruction limit
% 18.34/3.11 % (4095346)Termination phase: Finite model building preprocessing
% 18.34/3.11 % (4095346)Time elapsed: 0.433 s
% 18.34/3.11 % (4095346)Peak memory usage: 26 MB
% 18.34/3.11 % (4095346)Instructions burned: 890 (million)
% 18.34/3.11 % (4095355)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=590893347:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 18.34/3.11 % (4095357)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=3948001048:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 18.34/3.11 % TRYING [3]
% 18.34/3.11 % TRYING [1]
% 18.34/3.11 % (4095354)Cannot represent all propositional literals internally
% 18.34/3.11 % (4095354)Refutation not found, incomplete strategy
% 18.34/3.11 % (4095354)------------------------------
% 18.34/3.11 % (4095354)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.11 % (4095354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.11 % (4095354)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095354)Termination reason: Refutation not found, incomplete strategy
% 18.34/3.11 % (4095354)Time elapsed: 0.274 s
% 18.34/3.11 % (4095354)Peak memory usage: 31 MB
% 18.34/3.11 % (4095354)Instructions burned: 1061 (million)
% 18.34/3.11 % (4095354)------------------------------
% 18.34/3.11 % (4095354)------------------------------
% 18.34/3.11 % (4095360)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=2793181514:i=1472:ins=7:fdi=8:gsp=on_2987 on theBenchmark for (2987ds/1472Mi)
% 18.34/3.11 % TRYING [2]
% 18.34/3.11 % (4095355)Instruction limit reached!
% 18.34/3.11 % (4095355)------------------------------
% 18.34/3.11 % (4095355)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.11 % (4095355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.11 % (4095355)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095355)Termination reason: Instruction limit
% 18.34/3.11 % (4095355)Termination phase: Finite model building preprocessing
% 18.34/3.11 % (4095355)Time elapsed: 0.452 s
% 18.34/3.11 % (4095355)Peak memory usage: 27 MB
% 18.34/3.11 % (4095355)Instructions burned: 921 (million)
% 18.34/3.11 % (4095362)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=4199683349:i=6324_2986 on theBenchmark for (2986ds/6324Mi)
% 18.34/3.11 % (4095360)Instruction limit reached!
% 18.34/3.11 % (4095360)------------------------------
% 18.34/3.11 % (4095360)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.11 % (4095360)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.11 % (4095360)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095360)Termination reason: Instruction limit
% 18.34/3.11 % (4095360)Termination phase: Saturation
% 18.34/3.11 % (4095360)Time elapsed: 0.428 s
% 18.34/3.11 % (4095360)Peak memory usage: 33 MB
% 18.34/3.11 % (4095360)Instructions burned: 1474 (million)
% 18.34/3.11 % (4095364)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=847957853:fmbsr=2.30978:i=2174_2983 on theBenchmark for (2983ds/2174Mi)
% 18.34/3.11 % TRYING [4]
% 18.34/3.11 % TRYING [3]
% 18.34/3.11 % (4095362)Cannot represent all propositional literals internally
% 18.34/3.11 % (4095362)Refutation not found, incomplete strategy
% 18.34/3.11 % (4095362)------------------------------
% 18.34/3.11 % (4095362)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.11 % (4095362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.11 % (4095362)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095362)Termination reason: Refutation not found, incomplete strategy
% 18.34/3.11 % (4095362)Time elapsed: 0.660 s
% 18.34/3.11 % (4095362)Peak memory usage: 36 MB
% 18.34/3.11 % (4095362)Instructions burned: 1372 (million)
% 18.34/3.11 % (4095362)------------------------------
% 18.34/3.11 % (4095362)------------------------------
% 18.34/3.11 % (4095366)ott-2_1_sil=16000:newcnf=on:random_seed=270392721:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2979 on theBenchmark for (2979ds/869Mi)
% 18.34/3.11 % (4095364)Instruction limit reached!
% 18.34/3.11 % (4095364)------------------------------
% 18.34/3.11 % (4095364)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.11 % (4095364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.11 % (4095364)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095364)Termination reason: Instruction limit
% 18.34/3.11 % (4095364)Termination phase: Finite model building preprocessing
% 18.34/3.11 % (4095364)Time elapsed: 0.555 s
% 18.34/3.11 % (4095364)Peak memory usage: 34 MB
% 18.34/3.11 % (4095364)Instructions burned: 2175 (million)
% 18.34/3.11 % (4095368)ott+10_1_sil=32000:tgt=ground:random_seed=1801674605:i=5114:av=off_2977 on theBenchmark for (2977ds/5114Mi)
% 18.34/3.11 % (4095366)Instruction limit reached!
% 18.34/3.11 % (4095366)------------------------------
% 18.34/3.11 % (4095366)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.11 % (4095366)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.11 % (4095366)CaDiCaL version: 2.1.3
% 18.34/3.11 % (4095366)Termination reason: Instruction limit
% 18.34/3.11 % (4095366)Termination phase: Saturation
% 18.34/3.11 % (4095366)Time elapsed: 0.509 s
% 18.34/3.11 % (4095366)Peak memory usage: 26 MB
% 18.34/3.11 % (4095366)Instructions burned: 869 (million)
% 18.34/3.11 % (4095370)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2085151622:i=54282_2973 on theBenchmark for (2973ds/54282Mi)
% 18.34/3.11 % (4095319) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4095313-4095319"...
% 18.34/3.11 % (4095319)...printing done.
% 18.34/3.11 % (4095319)Refutation found. Thanks to Tanya!
% 18.34/3.11 % SZS status Theorem for theBenchmark
% 18.34/3.11 % SZS output start Proof for theBenchmark
% See solution above
% 18.34/3.12 % (4095319)------------------------------
% 18.34/3.12 % (4095319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 18.34/3.12 % (4095319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.34/3.12 % (4095319)CaDiCaL version: 2.1.3
% 18.34/3.12 % (4095319)Termination reason: Refutation
% 18.34/3.12 % (4095319)Time elapsed: 2.573 s
% 18.34/3.12 % (4095319)Peak memory usage: 58 MB
% 18.34/3.12 % (4095319)Instructions burned: 4377 (million)
% 18.34/3.12 % (4095313)Success in time 2.701 s
% 18.34/3.12 % Vampire exiting
%------------------------------------------------------------------------------