%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SCT170+3 : TPTP v9.3.1. Released v5.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n004.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 12:37:40 PM UTC 2026
% Result : Theorem 42.82s 11.57s
% Output : Refutation 42.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 22
% Syntax : Number of formulae : 123 ( 39 unt; 5 def)
% Number of atoms : 372 ( 68 equ)
% Maximal formula atoms : 16 ( 3 avg)
% Number of connectives : 404 ( 155 ~; 209 |; 15 &)
% ( 12 <=>; 12 =>; 0 <=; 1 <~>)
% Maximal formula depth : 18 ( 5 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 45 ( 45 usr; 22 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn 131 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f232,axiom,
is_Arr1861959080le_alt(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_a____) ).
fof(f233,axiom,
is_Arr1861959080le_alt(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_b____) ).
fof(f234,axiom,
is_Arr1861959080le_alt(c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',gsy_v_c____) ).
fof(f235,axiom,
hBOOL(hAPP_f777333846l_bool(hAPP_f461621971l_bool(member760917689t_bool,p),arrow_1721807329e_Prof)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_0__096P_A_058_AProf_096) ).
fof(f239,axiom,
hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,a),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,b),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,c),nil_Ar126264853le_alt))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_4_dist) ).
fof(f247,axiom,
! [X0,X1,X2,X3,X4] :
( ( is_Arr1861959080le_alt(X0)
& is_Arr1861959080le_alt(X1)
& is_Arr1861959080le_alt(X3)
& is_Arr1861959080le_alt(X4) )
=> ( X3 != X4
=> ( hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,X2),arrow_1681063817le_Lin))
=> ( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X1)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,X2),X3),X4)))
<=> ( X0 != X1
& ( X1 = X3
=> hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X4)),X2)) )
& ( X1 != X3
=> ( ( X0 = X3
=> ( X1 = X4
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X4),X1)),X2)) ) )
& ( X0 != X3
=> hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X1)),X2)) ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_12_in__below) ).
fof(f365,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_f777333846l_bool(hAPP_f461621971l_bool(member760917689t_bool,X1),pi_Arr990697634t_bool(X2,hAPP_f1659309744l_bool(cOMBK_657557929e_indi,X3))))
=> ( hBOOL(hAPP_f1599966040l_bool(hAPP_A1602262231l_bool(member1493247163e_indi,X0),X2))
=> hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(X1,X0)),X3)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_130_funcset__mem) ).
fof(f575,axiom,
arrow_1721807329e_Prof = pi_Arr990697634t_bool(top_to1576102282i_bool,hAPP_f1659309744l_bool(cOMBK_657557929e_indi,arrow_1681063817le_Lin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_340_Prof__def) ).
fof(f602,axiom,
! [X0] : hBOOL(hAPP_f1599966040l_bool(hAPP_A1602262231l_bool(member1493247163e_indi,X0),top_to1576102282i_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_367_iso__tuple__UNIV__I) ).
fof(f636,axiom,
! [X0] : hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,nil_Ar126264853le_alt),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_401_append__Nil) ).
fof(f657,axiom,
! [X0,X1] : hAPP_l726444215le_alt(butlas1262502241le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,X0),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X1),nil_Ar126264853le_alt))) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_422_butlast__snoc) ).
fof(f677,axiom,
! [X0,X1] :
( hAPP_l726444215le_alt(rotate1322903650le_alt,nil_Ar126264853le_alt) = nil_Ar126264853le_alt
& hAPP_l726444215le_alt(rotate1322903650le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X0),X1)) = hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,X1),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X0),nil_Ar126264853le_alt)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_442_rotate__simps) ).
fof(f924,axiom,
! [X0,X1] :
( hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(hAPP_l726444215le_alt(butlas1262502241le_alt,X1))))
=> hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(X1))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_689_in__set__butlastD) ).
fof(f932,axiom,
! [X0] : set_Ar1565008694le_alt(hAPP_l726444215le_alt(rotate1322903650le_alt,X0)) = set_Ar1565008694le_alt(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_697_set__rotate1) ).
fof(f943,axiom,
! [X0,X1] :
( hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X0),X1)))
<=> ( ~ hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(X1)))
& hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,X1)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_708_distinct_Osimps_I2_J) ).
fof(f1064,axiom,
! [X0,X1] :
( hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(X1)))
<=> ? [X2,X3] : X1 = hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,X2),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X0),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_829_in__set__conv__decomp) ).
fof(f1579,conjecture,
! [X0] :
( is_Arr43961803e_indi(X0)
=> ( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,X0)))
<=> hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),c)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,hAPP_A1677245848t_bool(p,X0)),c),b))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f1580,negated_conjecture,
~ ! [X0] :
( is_Arr43961803e_indi(X0)
=> ( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,X0)))
<=> hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),c)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,hAPP_A1677245848t_bool(p,X0)),c),b))) ) ),
inference(negated_conjecture,[status(cth)],[f1579]) ).
fof(f1702,plain,
! [X0,X1,X2,X3,X4] :
( ( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X1)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,X2),X3),X4)))
<=> ( X0 != X1
& ( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X4)),X2))
| X1 != X3 )
& ( ( ( X1 = X4
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X4),X1)),X2))
| X0 != X3 )
& ( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X1)),X2))
| X0 = X3 ) )
| X1 = X3 ) ) )
| ~ hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,X2),arrow_1681063817le_Lin))
| X3 = X4
| ~ is_Arr1861959080le_alt(X0)
| ~ is_Arr1861959080le_alt(X1)
| ~ is_Arr1861959080le_alt(X3)
| ~ is_Arr1861959080le_alt(X4) ),
inference(ennf_transformation,[],[f247]) ).
fof(f1703,plain,
! [X0,X1,X2,X3,X4] :
( ( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X1)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,X2),X3),X4)))
<=> ( X0 != X1
& ( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X4)),X2))
| X1 != X3 )
& ( ( ( X1 = X4
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X4),X1)),X2))
| X0 != X3 )
& ( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X1)),X2))
| X0 = X3 ) )
| X1 = X3 ) ) )
| ~ hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,X2),arrow_1681063817le_Lin))
| X3 = X4
| ~ is_Arr1861959080le_alt(X0)
| ~ is_Arr1861959080le_alt(X1)
| ~ is_Arr1861959080le_alt(X3)
| ~ is_Arr1861959080le_alt(X4) ),
inference(flattening,[],[f1702]) ).
fof(f1905,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(X1,X0)),X3))
| ~ hBOOL(hAPP_f1599966040l_bool(hAPP_A1602262231l_bool(member1493247163e_indi,X0),X2))
| ~ hBOOL(hAPP_f777333846l_bool(hAPP_f461621971l_bool(member760917689t_bool,X1),pi_Arr990697634t_bool(X2,hAPP_f1659309744l_bool(cOMBK_657557929e_indi,X3)))) ),
inference(ennf_transformation,[],[f365]) ).
fof(f1906,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(X1,X0)),X3))
| ~ hBOOL(hAPP_f1599966040l_bool(hAPP_A1602262231l_bool(member1493247163e_indi,X0),X2))
| ~ hBOOL(hAPP_f777333846l_bool(hAPP_f461621971l_bool(member760917689t_bool,X1),pi_Arr990697634t_bool(X2,hAPP_f1659309744l_bool(cOMBK_657557929e_indi,X3)))) ),
inference(flattening,[],[f1905]) ).
fof(f2522,plain,
! [X0,X1] :
( hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(X1)))
| ~ hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(hAPP_l726444215le_alt(butlas1262502241le_alt,X1)))) ),
inference(ennf_transformation,[],[f924]) ).
fof(f3090,plain,
? [X0] :
( ( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,X0)))
<~> hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),c)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,hAPP_A1677245848t_bool(p,X0)),c),b))) )
& is_Arr43961803e_indi(X0) ),
inference(ennf_transformation,[],[f1580]) ).
fof(f3322,plain,
is_Arr1861959080le_alt(a),
inference(cnf_transformation,[],[f232]) ).
fof(f3323,plain,
is_Arr1861959080le_alt(b),
inference(cnf_transformation,[],[f233]) ).
fof(f3324,plain,
is_Arr1861959080le_alt(c),
inference(cnf_transformation,[],[f234]) ).
fof(f3325,plain,
hBOOL(hAPP_f777333846l_bool(hAPP_f461621971l_bool(member760917689t_bool,p),arrow_1721807329e_Prof)),
inference(cnf_transformation,[],[f235]) ).
fof(f3329,plain,
hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,a),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,b),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,c),nil_Ar126264853le_alt))))),
inference(cnf_transformation,[],[f239]) ).
fof(f3361,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_Arr1861959080le_alt(X4)
| ~ is_Arr1861959080le_alt(X3)
| ~ is_Arr1861959080le_alt(X1)
| ~ is_Arr1861959080le_alt(X0)
| X3 = X4
| ~ hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,X2),arrow_1681063817le_Lin))
| X1 != X3
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X4)),X2))
| ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X1)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,X2),X3),X4))) ),
inference(cnf_transformation,[],[f1703]) ).
fof(f3362,plain,
! [X2,X3,X0,X1,X4] :
( ~ is_Arr1861959080le_alt(X4)
| ~ is_Arr1861959080le_alt(X3)
| ~ is_Arr1861959080le_alt(X1)
| ~ is_Arr1861959080le_alt(X0)
| X3 = X4
| ~ hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,X2),arrow_1681063817le_Lin))
| X1 != X3
| ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X4)),X2))
| X0 = X1
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X1)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,X2),X3),X4))) ),
inference(cnf_transformation,[],[f1703]) ).
fof(f3559,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP_f777333846l_bool(hAPP_f461621971l_bool(member760917689t_bool,X1),pi_Arr990697634t_bool(X2,hAPP_f1659309744l_bool(cOMBK_657557929e_indi,X3))))
| ~ hBOOL(hAPP_f1599966040l_bool(hAPP_A1602262231l_bool(member1493247163e_indi,X0),X2))
| hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(X1,X0)),X3)) ),
inference(cnf_transformation,[],[f1906]) ).
fof(f4045,plain,
arrow_1721807329e_Prof = pi_Arr990697634t_bool(top_to1576102282i_bool,hAPP_f1659309744l_bool(cOMBK_657557929e_indi,arrow_1681063817le_Lin)),
inference(cnf_transformation,[],[f575]) ).
fof(f4089,plain,
! [X0] : hBOOL(hAPP_f1599966040l_bool(hAPP_A1602262231l_bool(member1493247163e_indi,X0),top_to1576102282i_bool)),
inference(cnf_transformation,[],[f602]) ).
fof(f4138,plain,
! [X0] : hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,nil_Ar126264853le_alt),X0) = X0,
inference(cnf_transformation,[],[f636]) ).
fof(f4182,plain,
! [X0,X1] : hAPP_l726444215le_alt(butlas1262502241le_alt,hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,X0),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X1),nil_Ar126264853le_alt))) = X0,
inference(cnf_transformation,[],[f657]) ).
fof(f4219,plain,
! [X0,X1] : hAPP_l726444215le_alt(rotate1322903650le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X0),X1)) = hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,X1),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X0),nil_Ar126264853le_alt)),
inference(cnf_transformation,[],[f677]) ).
fof(f4676,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(hAPP_l726444215le_alt(butlas1262502241le_alt,X1))))
| hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(X1))) ),
inference(cnf_transformation,[],[f2522]) ).
fof(f4684,plain,
! [X0] : set_Ar1565008694le_alt(X0) = set_Ar1565008694le_alt(hAPP_l726444215le_alt(rotate1322903650le_alt,X0)),
inference(cnf_transformation,[],[f932]) ).
fof(f4697,plain,
! [X0,X1] :
( hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,X1))
| ~ hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X0),X1))) ),
inference(cnf_transformation,[],[f943]) ).
fof(f4698,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(X1)))
| ~ hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X0),X1))) ),
inference(cnf_transformation,[],[f943]) ).
fof(f4978,plain,
! [X2,X3,X0,X1] :
( hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,X2),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X0),X3)) != X1
| hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(X1))) ),
inference(cnf_transformation,[],[f1064]) ).
fof(f5785,plain,
( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),c)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,hAPP_A1677245848t_bool(p,sK581)),c),b)))
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,sK581))) ),
inference(cnf_transformation,[],[f3090]) ).
fof(f5786,plain,
( ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),c)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,hAPP_A1677245848t_bool(p,sK581)),c),b)))
| ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,sK581))) ),
inference(cnf_transformation,[],[f3090]) ).
fof(f5859,plain,
! [X2,X3,X0,X4] :
( ~ is_Arr1861959080le_alt(X4)
| ~ is_Arr1861959080le_alt(X3)
| ~ is_Arr1861959080le_alt(X3)
| ~ is_Arr1861959080le_alt(X0)
| X3 = X4
| ~ hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,X2),arrow_1681063817le_Lin))
| ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X4)),X2))
| X0 = X3
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X3)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,X2),X3),X4))) ),
inference(equality_resolution,[],[f3362]) ).
fof(f5860,plain,
! [X2,X3,X0,X4] :
( ~ is_Arr1861959080le_alt(X4)
| ~ is_Arr1861959080le_alt(X3)
| ~ is_Arr1861959080le_alt(X3)
| ~ is_Arr1861959080le_alt(X0)
| X3 = X4
| ~ hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,X2),arrow_1681063817le_Lin))
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X4)),X2))
| ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X3)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,X2),X3),X4))) ),
inference(equality_resolution,[],[f3361]) ).
fof(f6015,plain,
! [X2,X3,X0] : hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,X2),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X0),X3))))),
inference(equality_resolution,[],[f4978]) ).
fof(f6295,plain,
~ hBOOL(hAPP_f777333846l_bool(hAPP_f461621971l_bool(member760917689t_bool,p),arrow_1721807329e_Prof)),
inference(consistent_polarity_flipping,[],[f3325]) ).
fof(f6298,plain,
~ hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,a),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,b),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,c),nil_Ar126264853le_alt))))),
inference(consistent_polarity_flipping,[],[f3329]) ).
fof(f6318,plain,
! [X2,X3,X0,X4] :
( ~ is_Arr1861959080le_alt(X4)
| ~ is_Arr1861959080le_alt(X3)
| ~ is_Arr1861959080le_alt(X3)
| ~ is_Arr1861959080le_alt(X0)
| X3 = X4
| hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,X2),arrow_1681063817le_Lin))
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X4)),X2))
| X0 = X3
| ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X3)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,X2),X3),X4))) ),
inference(consistent_polarity_flipping,[],[f5859]) ).
fof(f6319,plain,
! [X2,X3,X0,X4] :
( ~ is_Arr1861959080le_alt(X4)
| ~ is_Arr1861959080le_alt(X3)
| ~ is_Arr1861959080le_alt(X3)
| ~ is_Arr1861959080le_alt(X0)
| X3 = X4
| hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,X2),arrow_1681063817le_Lin))
| ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X4)),X2))
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X3)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,X2),X3),X4))) ),
inference(consistent_polarity_flipping,[],[f5860]) ).
fof(f6501,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(X1,X0)),X3))
| hBOOL(hAPP_f1599966040l_bool(hAPP_A1602262231l_bool(member1493247163e_indi,X0),X2))
| hBOOL(hAPP_f777333846l_bool(hAPP_f461621971l_bool(member760917689t_bool,X1),pi_Arr990697634t_bool(X2,hAPP_f1659309744l_bool(cOMBK_657557929e_indi,X3)))) ),
inference(consistent_polarity_flipping,[],[f3559]) ).
fof(f7010,plain,
! [X0] : ~ hBOOL(hAPP_f1599966040l_bool(hAPP_A1602262231l_bool(member1493247163e_indi,X0),top_to1576102282i_bool)),
inference(consistent_polarity_flipping,[],[f4089]) ).
fof(f7442,plain,
! [X0,X1] :
( hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(hAPP_l726444215le_alt(butlas1262502241le_alt,X1))))
| ~ hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(X1))) ),
inference(consistent_polarity_flipping,[],[f4676]) ).
fof(f7463,plain,
! [X0,X1] :
( hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X0),X1)))
| hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(X1))) ),
inference(consistent_polarity_flipping,[],[f4698]) ).
fof(f7464,plain,
! [X0,X1] :
( ~ hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,X1))
| hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X0),X1))) ),
inference(consistent_polarity_flipping,[],[f4697]) ).
fof(f7735,plain,
! [X2,X3,X0] : ~ hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,X2),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X0),X3))))),
inference(consistent_polarity_flipping,[],[f6015]) ).
fof(f8362,plain,
( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),c)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,hAPP_A1677245848t_bool(p,sK581)),c),b)))
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,sK581))) ),
inference(consistent_polarity_flipping,[],[f5786]) ).
fof(f8363,plain,
( ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),c)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,hAPP_A1677245848t_bool(p,sK581)),c),b)))
| ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,sK581))) ),
inference(consistent_polarity_flipping,[],[f5785]) ).
fof(f8393,plain,
! [X2,X3,X0,X4] :
( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X3)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,X2),X3),X4)))
| ~ is_Arr1861959080le_alt(X3)
| ~ is_Arr1861959080le_alt(X0)
| X3 = X4
| hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,X2),arrow_1681063817le_Lin))
| ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X4)),X2))
| ~ is_Arr1861959080le_alt(X4) ),
inference(duplicate_literal_removal,[],[f6319]) ).
fof(f8394,plain,
! [X2,X3,X0,X4] :
( ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X3)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,X2),X3),X4)))
| ~ is_Arr1861959080le_alt(X3)
| ~ is_Arr1861959080le_alt(X0)
| X3 = X4
| hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,X2),arrow_1681063817le_Lin))
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,X0),X4)),X2))
| X0 = X3
| ~ is_Arr1861959080le_alt(X4) ),
inference(duplicate_literal_removal,[],[f6318]) ).
fof(f8403,definition,
( spl582_1
<=> hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,sK581))) ),
introduced(definition,[new_symbols(definition,[spl582_1])],[avatar_definition]) ).
fof(f8404,plain,
( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,sK581)))
| ~ spl582_1 ),
inference(avatar_component_clause,[],[f8403]) ).
fof(f8405,plain,
( ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,sK581)))
| spl582_1 ),
inference(avatar_component_clause,[],[f8403]) ).
fof(f8407,definition,
( spl582_2
<=> hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),c)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,hAPP_A1677245848t_bool(p,sK581)),c),b))) ),
introduced(definition,[new_symbols(definition,[spl582_2])],[avatar_definition]) ).
fof(f8408,plain,
( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),c)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,hAPP_A1677245848t_bool(p,sK581)),c),b)))
| ~ spl582_2 ),
inference(avatar_component_clause,[],[f8407]) ).
fof(f8409,plain,
( ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),c)),hAPP_A568203993t_bool(hAPP_A1941004017t_bool(hAPP_f344580165t_bool(arrow_1539419881_below,hAPP_A1677245848t_bool(p,sK581)),c),b)))
| spl582_2 ),
inference(avatar_component_clause,[],[f8407]) ).
fof(f8410,plain,
( ~ spl582_1
| ~ spl582_2 ),
inference(avatar_split_clause,[],[f8363,f8407,f8403]) ).
fof(f8411,plain,
( spl582_1
| spl582_2 ),
inference(avatar_split_clause,[],[f8362,f8407,f8403]) ).
fof(f15100,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_l1386638586t_bool(distin1223878664le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X2),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X0),X1))))
| hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(X1))) ),
inference(resolution,[],[f7463,f7464]) ).
fof(f15200,plain,
! [X0,X1] : ~ hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X0),set_Ar1565008694le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X0),X1)))),
inference(superposition,[],[f7735,f4138]) ).
fof(f16083,plain,
hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,a),set_Ar1565008694le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,b),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,c),nil_Ar126264853le_alt))))),
inference(resolution,[],[f6298,f7463]) ).
fof(f41189,definition,
( spl582_321
<=> hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(p,sK581)),arrow_1681063817le_Lin)) ),
introduced(definition,[new_symbols(definition,[spl582_321])],[avatar_definition]) ).
fof(f41190,plain,
( ~ hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(p,sK581)),arrow_1681063817le_Lin))
| spl582_321 ),
inference(avatar_component_clause,[],[f41189]) ).
fof(f41191,plain,
( hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(p,sK581)),arrow_1681063817le_Lin))
| ~ spl582_321 ),
inference(avatar_component_clause,[],[f41189]) ).
fof(f41249,plain,
( ! [X0] :
( hBOOL(hAPP_f777333846l_bool(hAPP_f461621971l_bool(member760917689t_bool,p),pi_Arr990697634t_bool(X0,hAPP_f1659309744l_bool(cOMBK_657557929e_indi,arrow_1681063817le_Lin))))
| hBOOL(hAPP_f1599966040l_bool(hAPP_A1602262231l_bool(member1493247163e_indi,sK581),X0)) )
| ~ spl582_321 ),
inference(resolution,[],[f41191,f6501]) ).
fof(f45717,plain,
( ~ is_Arr1861959080le_alt(c)
| ~ is_Arr1861959080le_alt(a)
| b = c
| hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(p,sK581)),arrow_1681063817le_Lin))
| ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,sK581)))
| ~ is_Arr1861959080le_alt(b)
| spl582_2 ),
inference(resolution,[],[f8393,f8409]) ).
fof(f48104,plain,
( hBOOL(hAPP_f777333846l_bool(hAPP_f461621971l_bool(member760917689t_bool,p),arrow_1721807329e_Prof))
| hBOOL(hAPP_f1599966040l_bool(hAPP_A1602262231l_bool(member1493247163e_indi,sK581),top_to1576102282i_bool))
| ~ spl582_321 ),
inference(superposition,[],[f41249,f4045]) ).
fof(f48105,plain,
( hBOOL(hAPP_f1599966040l_bool(hAPP_A1602262231l_bool(member1493247163e_indi,sK581),top_to1576102282i_bool))
| ~ spl582_321 ),
inference(forward_subsumption_resolution,[],[f48104,f6295]) ).
fof(f48108,plain,
( $false
| ~ spl582_321 ),
inference(forward_subsumption_resolution,[],[f48105,f7010]) ).
fof(f48109,plain,
~ spl582_321,
inference(avatar_contradiction_clause,[],[f48108]) ).
fof(f48112,plain,
( ~ is_Arr1861959080le_alt(a)
| b = c
| hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(p,sK581)),arrow_1681063817le_Lin))
| ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,sK581)))
| ~ is_Arr1861959080le_alt(b)
| spl582_2 ),
inference(forward_subsumption_resolution,[],[f45717,f3324]) ).
fof(f48113,plain,
( b = c
| hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(p,sK581)),arrow_1681063817le_Lin))
| ~ hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,sK581)))
| ~ is_Arr1861959080le_alt(b)
| spl582_2 ),
inference(forward_subsumption_resolution,[],[f48112,f3322]) ).
fof(f48114,plain,
( b = c
| hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(p,sK581)),arrow_1681063817le_Lin))
| ~ is_Arr1861959080le_alt(b)
| ~ spl582_1
| spl582_2 ),
inference(forward_subsumption_resolution,[],[f48113,f8404]) ).
fof(f48115,plain,
( b = c
| hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(p,sK581)),arrow_1681063817le_Lin))
| ~ spl582_1
| spl582_2 ),
inference(forward_subsumption_resolution,[],[f48114,f3323]) ).
fof(f48117,definition,
( spl582_352
<=> b = c ),
introduced(definition,[new_symbols(definition,[spl582_352])],[avatar_definition]) ).
fof(f48118,plain,
( b != c
| spl582_352 ),
inference(avatar_component_clause,[],[f48117]) ).
fof(f48119,plain,
( b = c
| ~ spl582_352 ),
inference(avatar_component_clause,[],[f48117]) ).
fof(f48120,plain,
( spl582_321
| spl582_352
| ~ spl582_1
| spl582_2 ),
inference(avatar_split_clause,[],[f48115,f8407,f8403,f48117,f41189]) ).
fof(f50079,plain,
! [X2,X0,X1] :
( hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X1),set_Ar1565008694le_alt(X0)))
| ~ hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X1),set_Ar1565008694le_alt(hAPP_l726444215le_alt(hAPP_l568342716le_alt(append1166636842le_alt,X0),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X2),nil_Ar126264853le_alt))))) ),
inference(superposition,[],[f7442,f4182]) ).
fof(f50080,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X1),set_Ar1565008694le_alt(hAPP_l726444215le_alt(rotate1322903650le_alt,hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X2),X0)))))
| hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X1),set_Ar1565008694le_alt(X0))) ),
inference(forward_demodulation,[],[f50079,f4219]) ).
fof(f50081,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X1),set_Ar1565008694le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,X2),X0))))
| hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,X1),set_Ar1565008694le_alt(X0))) ),
inference(forward_demodulation,[],[f50080,f4684]) ).
fof(f297780,plain,
hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,b),set_Ar1565008694le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,c),nil_Ar126264853le_alt)))),
inference(resolution,[],[f15100,f6298]) ).
fof(f297813,plain,
( hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,b),set_Ar1565008694le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,b),nil_Ar126264853le_alt))))
| ~ spl582_352 ),
inference(forward_demodulation,[],[f297780,f48119]) ).
fof(f297814,plain,
( $false
| ~ spl582_352 ),
inference(forward_subsumption_resolution,[],[f297813,f15200]) ).
fof(f297815,plain,
~ spl582_352,
inference(avatar_contradiction_clause,[],[f297814]) ).
fof(f297916,plain,
( ~ is_Arr1861959080le_alt(c)
| ~ is_Arr1861959080le_alt(a)
| b = c
| hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(p,sK581)),arrow_1681063817le_Lin))
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,sK581)))
| a = c
| ~ is_Arr1861959080le_alt(b)
| ~ spl582_2 ),
inference(resolution,[],[f8408,f8394]) ).
fof(f297941,plain,
( ~ is_Arr1861959080le_alt(a)
| b = c
| hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(p,sK581)),arrow_1681063817le_Lin))
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,sK581)))
| a = c
| ~ is_Arr1861959080le_alt(b)
| ~ spl582_2 ),
inference(forward_subsumption_resolution,[],[f297916,f3324]) ).
fof(f297945,plain,
( b = c
| hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(p,sK581)),arrow_1681063817le_Lin))
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,sK581)))
| a = c
| ~ is_Arr1861959080le_alt(b)
| ~ spl582_2 ),
inference(forward_subsumption_resolution,[],[f297941,f3322]) ).
fof(f297951,definition,
( spl582_2512
<=> a = c ),
introduced(definition,[new_symbols(definition,[spl582_2512])],[avatar_definition]) ).
fof(f297953,plain,
( a = c
| ~ spl582_2512 ),
inference(avatar_component_clause,[],[f297951]) ).
fof(f297961,plain,
( hBOOL(hAPP_f1749234559l_bool(hAPP_f566237389l_bool(member496995196t_bool,hAPP_A1677245848t_bool(p,sK581)),arrow_1681063817le_Lin))
| hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,sK581)))
| a = c
| ~ is_Arr1861959080le_alt(b)
| ~ spl582_2
| spl582_352 ),
inference(forward_subsumption_resolution,[],[f297945,f48118]) ).
fof(f297964,plain,
( hBOOL(hAPP_f592646513l_bool(hAPP_P229966473l_bool(member1441201108le_alt,hAPP_A702847159le_alt(hAPP_A1505516597le_alt(produc1400112471le_alt,a),b)),hAPP_A1677245848t_bool(p,sK581)))
| a = c
| ~ is_Arr1861959080le_alt(b)
| ~ spl582_2
| spl582_321
| spl582_352 ),
inference(forward_subsumption_resolution,[],[f297961,f41190]) ).
fof(f297967,plain,
( a = c
| ~ is_Arr1861959080le_alt(b)
| spl582_1
| ~ spl582_2
| spl582_321
| spl582_352 ),
inference(forward_subsumption_resolution,[],[f297964,f8405]) ).
fof(f297970,plain,
( a = c
| spl582_1
| ~ spl582_2
| spl582_321
| spl582_352 ),
inference(forward_subsumption_resolution,[],[f297967,f3323]) ).
fof(f297981,plain,
( spl582_2512
| spl582_1
| ~ spl582_2
| spl582_321
| spl582_352 ),
inference(avatar_split_clause,[],[f297970,f48117,f41189,f8407,f8403,f297951]) ).
fof(f298478,plain,
( hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,a),set_Ar1565008694le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,b),hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,a),nil_Ar126264853le_alt)))))
| ~ spl582_2512 ),
inference(forward_demodulation,[],[f16083,f297953]) ).
fof(f298479,plain,
( hBOOL(hAPP_f2013399995l_bool(hAPP_A297543629l_bool(member1071917752le_alt,a),set_Ar1565008694le_alt(hAPP_l726444215le_alt(hAPP_A408086601le_alt(cons_A1216297413le_alt,a),nil_Ar126264853le_alt))))
| ~ spl582_2512 ),
inference(resolution,[],[f298478,f50081]) ).
fof(f298486,plain,
( $false
| ~ spl582_2512 ),
inference(forward_subsumption_resolution,[],[f298479,f15200]) ).
fof(f298487,plain,
~ spl582_2512,
inference(avatar_contradiction_clause,[],[f298486]) ).
cnf(s1,plain,
( ~ spl582_1
| ~ spl582_2 ),
inference(sat_conversion,[],[f8410]) ).
cnf(s2,plain,
( spl582_1
| spl582_2 ),
inference(sat_conversion,[],[f8411]) ).
cnf(s994,plain,
~ spl582_321,
inference(sat_conversion,[],[f48109]) ).
cnf(s999,plain,
( ~ spl582_1
| spl582_2
| spl582_321
| spl582_352 ),
inference(sat_conversion,[],[f48120]) ).
cnf(s4532,plain,
~ spl582_352,
inference(sat_conversion,[],[f297815]) ).
cnf(s4550,plain,
( spl582_1
| ~ spl582_2
| spl582_321
| spl582_352
| spl582_2512 ),
inference(sat_conversion,[],[f297981]) ).
cnf(s4560,plain,
~ spl582_2512,
inference(sat_conversion,[],[f298487]) ).
cnf(s4561,plain,
( spl582_1
| ~ spl582_2
| spl582_321
| spl582_352 ),
inference(rat,[],[s4550,s4560]) ).
cnf(s4587,plain,
( ~ spl582_1
| spl582_2
| spl582_321 ),
inference(rat,[],[s999,s4532]) ).
cnf(s5396,plain,
spl582_1,
inference(rat,[],[s2,s4561,s994,s4532]) ).
cnf(s5399,plain,
spl582_2,
inference(rat,[],[s4587,s994,s5396]) ).
cnf(s5416,plain,
$false,
inference(rat,[],[s1,s5399,s5396]) ).
fof(f298488,plain,
$false,
inference(avatar_sat_refutation,[],[s5416]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SCT170+3 : TPTP v9.3.1. Released v5.3.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n004.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Sun Sep 27 23:55:37 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 12.00/2.27 % (4013516)Will run a generic schedule for satisfiability detection.
% 12.00/2.27 % (4013526)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3186757571:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 12.00/2.27 % (4013522)% WARNING: option uhcvi not known.
% 12.00/2.27 % (4013521)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=735848035_2999 on theBenchmark for (2999ds/0Mi)
% 12.00/2.27 % (4013522)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=196347450:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 12.00/2.27 % (4013524)dis+10_1_sil=32000:sp=arity:random_seed=3016242407:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 12.00/2.27 % (4013525)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=825693342:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 12.00/2.27 % (4013527)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=1147273963:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 12.00/2.27 % (4013523)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2958468000:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 12.00/2.27 % (4013526)Instruction limit reached!
% 12.00/2.27 % (4013526)------------------------------
% 12.00/2.27 % (4013526)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.00/2.27 % (4013526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.27 % (4013526)CaDiCaL version: 2.1.3
% 12.00/2.27 % (4013526)Termination reason: Instruction limit
% 12.00/2.27 % (4013526)Termination phase: Property scanning
% 12.00/2.27 % (4013526)Time elapsed: 0.033 s
% 12.00/2.27 % (4013526)Peak memory usage: 15 MB
% 12.00/2.27 % (4013526)Instructions burned: 133 (million)
% 12.00/2.27 % (4013535)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1885376797:i=714:nm=2_2998 on theBenchmark for (2998ds/714Mi)
% 12.00/2.27 % (4013524)Instruction limit reached!
% 12.00/2.27 % (4013524)------------------------------
% 12.00/2.27 % (4013524)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.00/2.27 % (4013524)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.27 % (4013524)CaDiCaL version: 2.1.3
% 12.00/2.27 % (4013524)Termination reason: Instruction limit
% 12.00/2.27 % (4013524)Termination phase: Property scanning
% 12.00/2.27 % (4013524)Time elapsed: 0.052 s
% 12.00/2.27 % (4013524)Peak memory usage: 15 MB
% 12.00/2.27 % (4013524)Instructions burned: 106 (million)
% 12.00/2.27 % (4013525)Instruction limit reached!
% 12.00/2.27 % (4013525)------------------------------
% 12.00/2.27 % (4013525)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.00/2.27 % (4013525)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.27 % (4013525)CaDiCaL version: 2.1.3
% 12.00/2.27 % (4013525)Termination reason: Instruction limit
% 12.00/2.27 % (4013525)Termination phase: Property scanning
% 12.00/2.27 % (4013525)Time elapsed: 0.057 s
% 12.00/2.27 % (4013525)Peak memory usage: 15 MB
% 12.00/2.27 % (4013525)Instructions burned: 118 (million)
% 12.00/2.27 % (4013537)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1159973315:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 12.00/2.27 % (4013527)Instruction limit reached!
% 12.00/2.27 % (4013527)------------------------------
% 12.00/2.27 % (4013527)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.00/2.27 % (4013527)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.00/2.27 % (4013527)CaDiCaL version: 2.1.3
% 12.00/2.27 % (4013527)Termination reason: Instruction limit
% 12.00/2.27 % (4013527)Termination phase: Saturation
% 12.00/2.27 % (4013527)Time elapsed: 0.076 s
% 12.00/2.27 % (4013527)Peak memory usage: 16 MB
% 12.00/2.27 % (4013527)Instructions burned: 160 (million)
% 12.00/2.27 % (4013538)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=3333017809:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 12.00/2.27 % (4013541)ott-21_1_sil=16000:fs=off:random_seed=1749916559:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 12.00/2.27 % (4013537)Instruction limit reached!
% 12.00/2.27 % (4013537)------------------------------
% 12.00/2.27 % (4013537)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 12.00/2.27 % (4013537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.63/6.65 % (4013537)CaDiCaL version: 2.1.3
% 42.63/6.65 % (4013537)Termination reason: Instruction limit
% 42.63/6.65 % (4013537)Termination phase: Property scanning
% 42.63/6.65 % (4013537)Time elapsed: 0.061 s
% 42.63/6.65 % (4013537)Peak memory usage: 15 MB
% 42.63/6.65 % (4013537)Instructions burned: 133 (million)
% 42.63/6.65 % (4013543)dis+10_4_sil=64000:sp=reverse_arity:bsr=on:sac=on:cn=on:random_seed=3129484224:i=477:bd=all_2997 on theBenchmark for (2997ds/477Mi)
% 42.63/6.65 % (4013541)Instruction limit reached!
% 42.63/6.65 % (4013541)------------------------------
% 42.63/6.65 % (4013541)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.63/6.65 % (4013541)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.63/6.65 % (4013541)CaDiCaL version: 2.1.3
% 42.63/6.65 % (4013541)Termination reason: Instruction limit
% 42.63/6.65 % (4013541)Termination phase: Saturation
% 42.63/6.65 % (4013541)Time elapsed: 0.081 s
% 42.63/6.65 % (4013541)Peak memory usage: 16 MB
% 42.63/6.65 % (4013541)Instructions burned: 182 (million)
% 42.63/6.65 % (4013545)fmb+10_1_sil=64000:erd=off:updr=off:random_seed=2125479906:fmbsr=1.3:i=865:ins=25_2997 on theBenchmark for (2997ds/865Mi)
% 42.63/6.65 % (4013535)Instruction limit reached!
% 42.63/6.65 % (4013535)------------------------------
% 42.63/6.65 % (4013535)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.63/6.65 % (4013535)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.63/6.65 % (4013535)CaDiCaL version: 2.1.3
% 42.63/6.65 % (4013535)Termination reason: Instruction limit
% 42.63/6.65 % (4013535)Termination phase: Finite model building preprocessing
% 42.63/6.65 % (4013535)Time elapsed: 0.182 s
% 42.63/6.65 % (4013535)Peak memory usage: 26 MB
% 42.63/6.65 % (4013535)Instructions burned: 717 (million)
% 42.63/6.65 % (4013547)ott+10_1_to=lpo:sil=64000:tgt=full:sp=arity:spb=goal_then_units:random_seed=3399614160:i=1179_2996 on theBenchmark for (2996ds/1179Mi)
% 42.63/6.65 % (4013543)Instruction limit reached!
% 42.63/6.65 % (4013543)------------------------------
% 42.63/6.65 % (4013543)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.63/6.65 % (4013543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.63/6.65 % (4013543)CaDiCaL version: 2.1.3
% 42.63/6.65 % (4013543)Termination reason: Instruction limit
% 42.63/6.65 % (4013543)Termination phase: Saturation
% 42.63/6.65 % (4013543)Time elapsed: 0.251 s
% 42.63/6.65 % (4013543)Peak memory usage: 18 MB
% 42.63/6.65 % (4013543)Instructions burned: 478 (million)
% 42.63/6.65 % (4013549)fmb+10_1_sil=64000:erd=off:fmbss=14:random_seed=1716097478:i=889:ins=1_2994 on theBenchmark for (2994ds/889Mi)
% 42.63/6.65 % (4013538)Instruction limit reached!
% 42.63/6.65 % (4013538)------------------------------
% 42.63/6.65 % (4013538)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.63/6.65 % (4013538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.63/6.65 % (4013538)CaDiCaL version: 2.1.3
% 42.63/6.65 % (4013538)Termination reason: Instruction limit
% 42.63/6.65 % (4013538)Termination phase: Saturation
% 42.63/6.65 % (4013538)Time elapsed: 0.378 s
% 42.63/6.65 % (4013538)Peak memory usage: 21 MB
% 42.63/6.65 % (4013538)Instructions burned: 684 (million)
% 42.63/6.65 % (4013551)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=2814832537:avsq=on:s2a=on:i=692:avsqr=8,1:kws=arity_squared:bs=unit_only:nm=2:rawr=on_2994 on theBenchmark for (2994ds/692Mi)
% 42.63/6.65 % (4013547)Instruction limit reached!
% 42.63/6.65 % (4013547)------------------------------
% 42.63/6.65 % (4013547)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.63/6.65 % (4013547)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.63/6.65 % (4013547)CaDiCaL version: 2.1.3
% 42.63/6.65 % (4013547)Termination reason: Instruction limit
% 42.63/6.65 % (4013547)Termination phase: Saturation
% 42.63/6.65 % (4013547)Time elapsed: 0.352 s
% 42.63/6.65 % (4013547)Peak memory usage: 34 MB
% 42.63/6.65 % (4013547)Instructions burned: 1179 (million)
% 42.63/6.65 % (4013553)dis-10_1_anc=none:sil=64000:spb=goal:newcnf=on:cn=on:random_seed=393635221:i=879:kws=inv_precedence:fsr=off_2992 on theBenchmark for (2992ds/879Mi)
% 42.63/6.65 % (4013545)Instruction limit reached!
% 42.63/6.65 % (4013545)------------------------------
% 42.63/6.65 % (4013545)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.63/6.65 % (4013545)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013545)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013545)Termination reason: Instruction limit
% 42.82/11.57 % (4013545)Termination phase: Finite model building preprocessing
% 42.82/11.57 % (4013545)Time elapsed: 0.414 s
% 42.82/11.57 % (4013545)Peak memory usage: 26 MB
% 42.82/11.57 % (4013545)Instructions burned: 865 (million)
% 42.82/11.57 % (4013555)fmb+10_1_sil=64000:random_seed=1824308967:i=22061:nm=2:gsp=on_2992 on theBenchmark for (2992ds/22061Mi)
% 42.82/11.57 % (4013553)Instruction limit reached!
% 42.82/11.57 % (4013553)------------------------------
% 42.82/11.57 % (4013553)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013553)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013553)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013553)Termination reason: Instruction limit
% 42.82/11.57 % (4013553)Termination phase: Saturation
% 42.82/11.57 % (4013553)Time elapsed: 0.204 s
% 42.82/11.57 % (4013553)Peak memory usage: 23 MB
% 42.82/11.57 % (4013553)Instructions burned: 883 (million)
% 42.82/11.57 % (4013557)fmb+10_1_sil=16000:sas=cadical:fmbss=20:random_seed=461526847:i=9515:nm=5_2990 on theBenchmark for (2990ds/9515Mi)
% 42.82/11.57 % (4013549)Instruction limit reached!
% 42.82/11.57 % (4013549)------------------------------
% 42.82/11.57 % (4013549)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013549)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013549)Termination reason: Instruction limit
% 42.82/11.57 % (4013549)Termination phase: Finite model building preprocessing
% 42.82/11.57 % (4013549)Time elapsed: 0.429 s
% 42.82/11.57 % (4013549)Peak memory usage: 26 MB
% 42.82/11.57 % (4013549)Instructions burned: 890 (million)
% 42.82/11.57 % (4013551)Instruction limit reached!
% 42.82/11.57 % (4013551)------------------------------
% 42.82/11.57 % (4013551)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013551)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013551)Termination reason: Instruction limit
% 42.82/11.57 % (4013551)Termination phase: Saturation
% 42.82/11.57 % (4013551)Time elapsed: 0.388 s
% 42.82/11.57 % (4013551)Peak memory usage: 23 MB
% 42.82/11.57 % (4013551)Instructions burned: 693 (million)
% 42.82/11.57 % (4013559)fmb+10_1_sil=64000:sas=cadical:fmbss=8:random_seed=1537978716:fmbsr=1.7:i=920_2990 on theBenchmark for (2990ds/920Mi)
% 42.82/11.57 % (4013560)dis-4_1_sil=16000:drc=ordering:sp=const_frequency:sac=on:newcnf=on:random_seed=1458735709:i=5131_2990 on theBenchmark for (2990ds/5131Mi)
% 42.82/11.57 % TRYING [1]
% 42.82/11.57 % TRYING [2]
% 42.82/11.57 % (4013557)Cannot represent all propositional literals internally
% 42.82/11.57 % (4013557)Refutation not found, incomplete strategy
% 42.82/11.57 % (4013557)------------------------------
% 42.82/11.57 % (4013557)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013557)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013557)Termination reason: Refutation not found, incomplete strategy
% 42.82/11.57 % (4013557)Time elapsed: 0.453 s
% 42.82/11.57 % (4013557)Peak memory usage: 43 MB
% 42.82/11.57 % (4013557)Instructions burned: 1744 (million)
% 42.82/11.57 % (4013557)------------------------------
% 42.82/11.57 % (4013557)------------------------------
% 42.82/11.57 % (4013563)ott+11_16_sil=32000:fde=unused:bsd=on:sas=cadical:sp=arity:spb=units:lsd=10:nwc=3:random_seed=3533109122:i=1472:ins=7:fdi=8:gsp=on_2986 on theBenchmark for (2986ds/1472Mi)
% 42.82/11.57 % (4013559)Instruction limit reached!
% 42.82/11.57 % (4013559)------------------------------
% 42.82/11.57 % (4013559)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013559)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013559)Termination reason: Instruction limit
% 42.82/11.57 % (4013559)Termination phase: Finite model building preprocessing
% 42.82/11.57 % (4013559)Time elapsed: 0.447 s
% 42.82/11.57 % (4013559)Peak memory usage: 27 MB
% 42.82/11.57 % (4013559)Instructions burned: 921 (million)
% 42.82/11.57 % TRYING [1]
% 42.82/11.57 % (4013565)fmb+10_1_sil=16000:sas=cadical:bce=on:fmbss=77:random_seed=1437845057:i=6324_2985 on theBenchmark for (2985ds/6324Mi)
% 42.82/11.57 % TRYING [3]
% 42.82/11.57 % TRYING [2]
% 42.82/11.57 % (4013563)Instruction limit reached!
% 42.82/11.57 % (4013563)------------------------------
% 42.82/11.57 % (4013563)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013563)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013563)Termination reason: Instruction limit
% 42.82/11.57 % (4013563)Termination phase: Saturation
% 42.82/11.57 % (4013563)Time elapsed: 0.432 s
% 42.82/11.57 % (4013563)Peak memory usage: 35 MB
% 42.82/11.57 % (4013563)Instructions burned: 1474 (million)
% 42.82/11.57 % (4013567)fmb+10_1_fmbas=function:sil=32000:sas=cadical:fmbss=16:random_seed=2756015117:fmbsr=2.30978:i=2174_2981 on theBenchmark for (2981ds/2174Mi)
% 42.82/11.57 % (4013567)Instruction limit reached!
% 42.82/11.57 % (4013567)------------------------------
% 42.82/11.57 % (4013567)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013567)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013567)Termination reason: Instruction limit
% 42.82/11.57 % (4013567)Termination phase: Finite model building preprocessing
% 42.82/11.57 % (4013567)Time elapsed: 0.559 s
% 42.82/11.57 % (4013567)Peak memory usage: 38 MB
% 42.82/11.57 % (4013567)Instructions burned: 2176 (million)
% 42.82/11.57 % (4013569)ott-2_1_sil=16000:newcnf=on:random_seed=3671707351:avsq=on:i=869:avsqr=1,16:kws=inv_arity_squared_2975 on theBenchmark for (2975ds/869Mi)
% 42.82/11.57 % (4013565)Cannot represent all propositional literals internally
% 42.82/11.57 % (4013565)Refutation not found, incomplete strategy
% 42.82/11.57 % (4013565)------------------------------
% 42.82/11.57 % (4013565)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013565)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013565)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013565)Termination reason: Refutation not found, incomplete strategy
% 42.82/11.57 % (4013565)Time elapsed: 1.026 s
% 42.82/11.57 % (4013565)Peak memory usage: 49 MB
% 42.82/11.57 % (4013565)Instructions burned: 2121 (million)
% 42.82/11.57 % (4013565)------------------------------
% 42.82/11.57 % (4013565)------------------------------
% 42.82/11.57 % (4013571)ott+10_1_sil=32000:tgt=ground:random_seed=2541305901:i=5114:av=off_2974 on theBenchmark for (2974ds/5114Mi)
% 42.82/11.57 % TRYING [3]
% 42.82/11.57 % (4013569)Instruction limit reached!
% 42.82/11.57 % (4013569)------------------------------
% 42.82/11.57 % (4013569)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013569)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013569)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013569)Termination reason: Instruction limit
% 42.82/11.57 % (4013569)Termination phase: Saturation
% 42.82/11.57 % (4013569)Time elapsed: 0.264 s
% 42.82/11.57 % (4013569)Peak memory usage: 27 MB
% 42.82/11.57 % (4013569)Instructions burned: 871 (million)
% 42.82/11.57 % (4013574)fmb+10_1_sil=64000:sas=cadical:bce=on:rp=on:random_seed=2254887271:i=54282_2973 on theBenchmark for (2973ds/54282Mi)
% 42.82/11.57 % TRYING [4]
% 42.82/11.57 % TRYING [1]
% 42.82/11.57 % TRYING [2]
% 42.82/11.57 % TRYING [3]
% 42.82/11.57 % (4013560)Instruction limit reached!
% 42.82/11.57 % (4013560)------------------------------
% 42.82/11.57 % (4013560)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013560)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013560)Termination reason: Instruction limit
% 42.82/11.57 % (4013560)Termination phase: Saturation
% 42.82/11.57 % (4013560)Time elapsed: 3.011 s
% 42.82/11.57 % (4013560)Peak memory usage: 46 MB
% 42.82/11.57 % (4013560)Instructions burned: 5131 (million)
% 42.82/11.57 % (4013576)dis-11_1_sil=16000:sp=reverse_frequency:alpa=true:random_seed=146520433:i=3512:aac=none_2959 on theBenchmark for (2959ds/3512Mi)
% 42.82/11.57 % TRYING [4]
% 42.82/11.57 % (4013571)Instruction limit reached!
% 42.82/11.57 % (4013571)------------------------------
% 42.82/11.57 % (4013571)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013571)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013571)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013571)Termination reason: Instruction limit
% 42.82/11.57 % (4013571)Termination phase: Saturation
% 42.82/11.57 % (4013571)Time elapsed: 3.057 s
% 42.82/11.57 % (4013571)Peak memory usage: 59 MB
% 42.82/11.57 % (4013571)Instructions burned: 5116 (million)
% 42.82/11.57 % (4013578)dis+21_1_sil=32000:sas=cadical:random_seed=1062214576:i=3773:amm=off_2944 on theBenchmark for (2944ds/3773Mi)
% 42.82/11.57 % (4013576)Instruction limit reached!
% 42.82/11.57 % (4013576)------------------------------
% 42.82/11.57 % (4013576)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013576)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013576)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013576)Termination reason: Instruction limit
% 42.82/11.57 % (4013576)Termination phase: Saturation
% 42.82/11.57 % (4013576)Time elapsed: 2.186 s
% 42.82/11.57 % (4013576)Peak memory usage: 42 MB
% 42.82/11.57 % (4013576)Instructions burned: 3514 (million)
% 42.82/11.57 % (4013580)ott+11_1_sil=16000:gs=on:random_seed=3430383800:s2a=on:i=2251:s2at=3:kws=inv_arity_squared:nm=2:fsr=off:fsd=on_2937 on theBenchmark for (2937ds/2251Mi)
% 42.82/11.57 % TRYING [4]
% 42.82/11.57 % (4013580)Instruction limit reached!
% 42.82/11.57 % (4013580)------------------------------
% 42.82/11.57 % (4013580)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013580)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013580)Termination reason: Instruction limit
% 42.82/11.57 % (4013580)Termination phase: Saturation
% 42.82/11.57 % (4013580)Time elapsed: 1.322 s
% 42.82/11.57 % (4013580)Peak memory usage: 37 MB
% 42.82/11.57 % (4013580)Instructions burned: 2252 (million)
% 42.82/11.57 % (4013582)fmb+10_1_fmbas=predicate:sil=64000:tgt=ground:fmbss=7:random_seed=916630:fmbsr=1.6:i=67534_2924 on theBenchmark for (2924ds/67534Mi)
% 42.82/11.57 % (4013578)Instruction limit reached!
% 42.82/11.57 % (4013578)------------------------------
% 42.82/11.57 % (4013578)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013578)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013578)Termination reason: Instruction limit
% 42.82/11.57 % (4013578)Termination phase: Saturation
% 42.82/11.57 % (4013578)Time elapsed: 2.177 s
% 42.82/11.57 % (4013578)Peak memory usage: 52 MB
% 42.82/11.57 % (4013578)Instructions burned: 3774 (million)
% 42.82/11.57 % (4013584)ott-22_32_sil=16000:tgt=full:fdtod=off:sp=weighted_frequency:rnwc=on:alpa=false:random_seed=1228238774:avsq=on:i=4591:add=off:avsqr=1,16:kws=inv_arity:nm=10:ins=9:fdi=4_2922 on theBenchmark for (2922ds/4591Mi)
% 42.82/11.57 % TRYING [5]
% 42.82/11.57 % TRYING [5]
% 42.82/11.57 % (4013584)Instruction limit reached!
% 42.82/11.57 % (4013584)------------------------------
% 42.82/11.57 % (4013584)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013584)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013584)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013584)Termination reason: Instruction limit
% 42.82/11.57 % (4013584)Termination phase: Saturation
% 42.82/11.57 % (4013584)Time elapsed: 2.548 s
% 42.82/11.57 % (4013584)Peak memory usage: 66 MB
% 42.82/11.57 % (4013584)Instructions burned: 4591 (million)
% 42.82/11.57 % (4013586)dis+10_64_to=lpo:sil=32000:spb=intro:urr=on:sac=on:random_seed=4083821237:i=29340_2896 on theBenchmark for (2896ds/29340Mi)
% 42.82/11.57 % (4013555)Instruction limit reached!
% 42.82/11.57 % (4013555)------------------------------
% 42.82/11.57 % (4013555)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.57 % (4013555)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.57 % (4013555)CaDiCaL version: 2.1.3
% 42.82/11.57 % (4013555)Termination reason: Instruction limit
% 42.82/11.57 % (4013555)Termination phase: Finite model building SAT solving
% 42.82/11.57 % (4013555)Time elapsed: 10.035 s
% 42.82/11.57 % (4013555)Peak memory usage: 539 MB
% 42.82/11.57 % (4013555)Instructions burned: 22062 (million)
% 42.82/11.57 % (4013588)dis-10_1_sil=64000:sas=cadical:cn=on:random_seed=218306043:i=5211_2891 on theBenchmark for (2891ds/5211Mi)
% 42.82/11.57 % (4013522) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-4013516-4013522"...
% 42.82/11.57 % (4013522)...printing done.
% 42.82/11.57 % (4013522)Refutation found. Thanks to Tanya!
% 42.82/11.57 % SZS status Theorem for theBenchmark
% 42.82/11.57 % SZS output start Proof for theBenchmark
% See solution above
% 42.82/11.58 % (4013522)------------------------------
% 42.82/11.58 % (4013522)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 42.82/11.58 % (4013522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 42.82/11.58 % (4013522)CaDiCaL version: 2.1.3
% 42.82/11.58 % (4013522)Termination reason: Refutation
% 42.82/11.58 % (4013522)Time elapsed: 10.833 s
% 42.82/11.58 % (4013522)Peak memory usage: 145 MB
% 42.82/11.58 % (4013522)Instructions burned: 18427 (million)
% 42.82/11.58 % (4013516)Success in time 11.144 s
% 42.82/11.58 % Vampire exiting
%------------------------------------------------------------------------------