%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT025-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:36:45 PM UTC 2026
% Result : Unsatisfiable 23.30s 4.16s
% Output : Refutation 23.71s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 52
% Syntax : Number of formulae : 251 ( 71 unt; 32 def)
% Number of atoms : 531 ( 123 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 498 ( 218 ~; 258 |; 0 &)
% ( 22 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 25 ( 23 usr; 23 prp; 0-2 aty)
% Number of functors : 33 ( 33 usr; 16 con; 0-5 aty)
% Number of variables : 330 ( 0 sgn 330 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f105,axiom,
! [X0,X1] : hBOOL(hAPP(hAPP(c_lessequals(tc_fun(X0,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__subsetI_0) ).
fof(f115,axiom,
! [X0,X1] : hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__absorb_0) ).
fof(f228,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBB(X0,X1,X2,X3,X4),X5) = hAPP(X0,hAPP(X1,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBB__def_0) ).
fof(f326,axiom,
! [X2,X0,X1] : c_Set_Oinsert(X0,X1,X2) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),c_Collect(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X0),X2)),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__def_0) ).
fof(f369,axiom,
! [X0,X1] : c_Collect(X0,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
fof(f429,axiom,
! [X2,X3,X0,X1] : c_Set_Ovimage(X0,X1,X2,X3) = c_Collect(hAPP(c_COMBC(c_COMBB(c_in(X3),X0,X3,tc_fun(tc_fun(X3,tc_bool),tc_bool),X2),X2,tc_fun(X3,tc_bool),tc_bool),X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__def_0) ).
fof(f448,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(c_COMBC(X0,X1,X2,X3),X4),X5) = hAPP(hAPP(X0,X5),X4),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBC__def_0) ).
fof(f598,axiom,
! [X0,X1] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_bot1E_0) ).
fof(f608,axiom,
! [X0,X1] : hAPP(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool))),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Int__UNIV__left_0) ).
fof(f650,axiom,
! [X2,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != c_Collect(X1,X0)
| ~ hBOOL(hAPP(X1,X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_empty__Collect__eq_0) ).
fof(f676,axiom,
! [X0,X1] : c_Collect(hAPP(c_COMBC(c_fequal(X0),X0,X0,tc_bool),X1),X0) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__conv_0) ).
fof(f677,plain,
! [X0,X1] : c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0) = c_Collect(hAPP(c_COMBC(c_fequal(X0),X0,X0,tc_bool),X1),X0),
inference(reorient_equations,[],[f676]) ).
fof(f691,axiom,
! [X0,X1] : c_Collect(hAPP(c_fequal(X0),X1),X0) = c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_singleton__conv2_0) ).
fof(f692,plain,
! [X0,X1] : c_Set_Oinsert(X1,c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X0) = c_Collect(hAPP(c_fequal(X0),X1),X0),
inference(reorient_equations,[],[f691]) ).
fof(f695,axiom,
! [X0,X1] : c_Collect(hAPP(c_COMBC(c_in(X0),X0,tc_fun(X0,tc_bool),tc_bool),X1),X0) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__mem__eq_0) ).
fof(f737,axiom,
! [X2,X0,X1] :
( c_Set_Oinsert(X0,X1,X2) = X1
| ~ hBOOL(hAPP(hAPP(c_in(X2),X0),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_insert__absorb_0) ).
fof(f761,axiom,
! [X2,X3,X0,X1] :
( c_Set_Ovimage(c_COMBK(X0,X1,X2),X3,X2,X1) = c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))
| ~ hBOOL(hAPP(hAPP(c_in(X1),X0),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__const_0) ).
fof(f762,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)) = c_Set_Ovimage(c_COMBK(X0,X1,X2),X3,X2,X1)
| ~ hBOOL(hAPP(hAPP(c_in(X1),X0),X3)) ),
inference(reorient_equations,[],[f761]) ).
fof(f763,axiom,
! [X2,X3,X0,X1] :
( c_Set_Ovimage(c_COMBK(X0,X1,X2),X3,X2,X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))
| hBOOL(hAPP(hAPP(c_in(X1),X0),X3)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__const_1) ).
fof(f764,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Set_Ovimage(c_COMBK(X0,X1,X2),X3,X2,X1)
| hBOOL(hAPP(hAPP(c_in(X1),X0),X3)) ),
inference(reorient_equations,[],[f763]) ).
fof(f801,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_L),c_Arrow__Order__Mirabelle_OLin)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f802,negated_conjecture,
~ hBOOL(hAPP(hAPP(c_in(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),c_COMBK(v_L,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_Arrow__Order__Mirabelle_Oindi)),c_Arrow__Order__Mirabelle_OProf)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f834,axiom,
! [X2,X3,X0,X1] : hAPP(c_COMBK(X0,X1,X2),X3) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBK__def_0) ).
fof(f835,axiom,
! [X0,X1] : hAPP(c_COMBI(X0),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBI__def_0) ).
fof(f948,plain,
! [X0,X1] : c_Collect(hAPP(c_COMBC(c_fequal(X0),X0,X0,tc_bool),X1),X0) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),c_Collect(hAPP(c_COMBC(c_fequal(X0),X0,X0,tc_bool),X1),X0)),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),
inference(definition_unfolding,[],[f677,f326]) ).
fof(f955,plain,
! [X0,X1] : c_Collect(hAPP(c_fequal(X0),X1),X0) = hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),c_Collect(hAPP(c_COMBC(c_fequal(X0),X0,X0,tc_bool),X1),X0)),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),
inference(definition_unfolding,[],[f692,f326]) ).
fof(f963,plain,
! [X2,X0,X1] :
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),c_Collect(hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X0),X2)),X1) = X1
| ~ hBOOL(hAPP(hAPP(c_in(X2),X0),X1)) ),
inference(definition_unfolding,[],[f737,f326]) ).
fof(f964,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)) = c_Collect(hAPP(c_COMBC(c_COMBB(c_in(X1),c_COMBK(X0,X1,X2),X1,tc_fun(tc_fun(X1,tc_bool),tc_bool),X2),X2,tc_fun(X1,tc_bool),tc_bool),X3),X2)
| ~ hBOOL(hAPP(hAPP(c_in(X1),X0),X3)) ),
inference(definition_unfolding,[],[f762,f429]) ).
fof(f965,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Collect(hAPP(c_COMBC(c_COMBB(c_in(X1),c_COMBK(X0,X1,X2),X1,tc_fun(tc_fun(X1,tc_bool),tc_bool),X2),X2,tc_fun(X1,tc_bool),tc_bool),X3),X2)
| hBOOL(hAPP(hAPP(c_in(X1),X0),X3)) ),
inference(definition_unfolding,[],[f764,f429]) ).
fof(f968,definition,
sF0 = tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f969,plain,
tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sF0,
inference(reorient_equations,[],[f968]) ).
fof(f970,definition,
sF1 = tc_fun(sF0,tc_bool),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f971,plain,
tc_fun(sF0,tc_bool) = sF1,
inference(reorient_equations,[],[f970]) ).
fof(f972,definition,
sF2 = c_in(sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f973,plain,
c_in(sF1) = sF2,
inference(reorient_equations,[],[f972]) ).
fof(f974,definition,
sF3 = hAPP(sF2,v_L),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f975,plain,
hAPP(sF2,v_L) = sF3,
inference(reorient_equations,[],[f974]) ).
fof(f976,definition,
sF4 = hAPP(sF3,c_Arrow__Order__Mirabelle_OLin),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f977,plain,
hAPP(sF3,c_Arrow__Order__Mirabelle_OLin) = sF4,
inference(reorient_equations,[],[f976]) ).
fof(f978,plain,
hBOOL(sF4),
inference(definition_folding,[],[f801,f977,f975,f973,f971,f969]) ).
fof(f979,definition,
sF5 = tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF1),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f980,plain,
tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF1) = sF5,
inference(reorient_equations,[],[f979]) ).
fof(f981,definition,
sF6 = c_in(sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f982,plain,
c_in(sF5) = sF6,
inference(reorient_equations,[],[f981]) ).
fof(f983,definition,
sF7 = c_COMBK(v_L,sF1,tc_Arrow__Order__Mirabelle_Oindi),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f984,plain,
c_COMBK(v_L,sF1,tc_Arrow__Order__Mirabelle_Oindi) = sF7,
inference(reorient_equations,[],[f983]) ).
fof(f985,definition,
sF8 = hAPP(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f986,plain,
hAPP(sF6,sF7) = sF8,
inference(reorient_equations,[],[f985]) ).
fof(f987,definition,
sF9 = hAPP(sF8,c_Arrow__Order__Mirabelle_OProf),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f988,plain,
hAPP(sF8,c_Arrow__Order__Mirabelle_OProf) = sF9,
inference(reorient_equations,[],[f987]) ).
fof(f989,plain,
~ hBOOL(sF9),
inference(definition_folding,[],[f802,f988,f986,f984,f971,f969,f982,f980,f971,f969]) ).
fof(f1005,plain,
! [X0,X1] : c_Collect(hAPP(c_COMBC(c_fequal(X0),X0,X0,tc_bool),X1),X0) = c_Collect(hAPP(c_fequal(X0),X1),X0),
inference(forward_demodulation,[],[f948,f955]) ).
fof(f1046,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)) = hAPP(c_COMBC(c_COMBB(c_in(X1),c_COMBK(X0,X1,X2),X1,tc_fun(tc_fun(X1,tc_bool),tc_bool),X2),X2,tc_fun(X1,tc_bool),tc_bool),X3)
| ~ hBOOL(hAPP(hAPP(c_in(X1),X0),X3)) ),
inference(backward_demodulation,[],[f964,f369]) ).
fof(f1047,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = hAPP(c_COMBC(c_COMBB(c_in(X1),c_COMBK(X0,X1,X2),X1,tc_fun(tc_fun(X1,tc_bool),tc_bool),X2),X2,tc_fun(X1,tc_bool),tc_bool),X3)
| hBOOL(hAPP(hAPP(c_in(X1),X0),X3)) ),
inference(backward_demodulation,[],[f965,f369]) ).
fof(f1077,plain,
! [X2,X0,X1] :
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),hAPP(c_COMBC(c_fequal(X2),X2,X2,tc_bool),X0)),X1) = X1
| ~ hBOOL(hAPP(hAPP(c_in(X2),X0),X1)) ),
inference(backward_demodulation,[],[f963,f369]) ).
fof(f1079,plain,
! [X0,X1] : hAPP(c_COMBC(c_in(X0),X0,tc_fun(X0,tc_bool),tc_bool),X1) = X1,
inference(backward_demodulation,[],[f695,f369]) ).
fof(f1080,plain,
! [X2,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)) != X1
| ~ hBOOL(hAPP(X1,X2)) ),
inference(backward_demodulation,[],[f650,f369]) ).
fof(f1186,plain,
! [X0,X1] : c_Collect(hAPP(c_COMBC(c_fequal(X0),X0,X0,tc_bool),X1),X0) = hAPP(c_fequal(X0),X1),
inference(forward_demodulation,[],[f1005,f369]) ).
fof(f1299,plain,
! [X0,X1] : hAPP(c_COMBC(c_fequal(X0),X0,X0,tc_bool),X1) = hAPP(c_fequal(X0),X1),
inference(forward_demodulation,[],[f1186,f369]) ).
fof(f1401,plain,
! [X2,X0,X1] :
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),hAPP(c_fequal(X2),X0)),X1) = X1
| ~ hBOOL(hAPP(hAPP(c_in(X2),X0),X1)) ),
inference(backward_demodulation,[],[f1077,f1299]) ).
fof(f1633,plain,
! [X2,X0,X1] : hAPP(X0,X2) = hAPP(hAPP(c_in(X1),X2),X0),
inference(superposition,[],[f448,f1079]) ).
fof(f1699,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)) = hAPP(c_COMBC(c_COMBB(c_in(X1),c_COMBK(X0,X1,X2),X1,tc_fun(tc_fun(X1,tc_bool),tc_bool),X2),X2,tc_fun(X1,tc_bool),tc_bool),X3)
| ~ hBOOL(hAPP(X3,X0)) ),
inference(backward_demodulation,[],[f1046,f1633]) ).
fof(f1700,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = hAPP(c_COMBC(c_COMBB(c_in(X1),c_COMBK(X0,X1,X2),X1,tc_fun(tc_fun(X1,tc_bool),tc_bool),X2),X2,tc_fun(X1,tc_bool),tc_bool),X3)
| hBOOL(hAPP(X3,X0)) ),
inference(backward_demodulation,[],[f1047,f1633]) ).
fof(f1713,plain,
! [X2,X0,X1] :
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X2,tc_bool)),hAPP(c_fequal(X2),X0)),X1) = X1
| ~ hBOOL(hAPP(X1,X0)) ),
inference(backward_demodulation,[],[f1401,f1633]) ).
fof(f1995,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(X0,X1))
| c_Orderings_Obot__class_Obot(sF1) != X0 ),
inference(superposition,[],[f1080,f971]) ).
fof(f1997,plain,
! [X0] : hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(sF1),X0),X0) = X0,
inference(superposition,[],[f115,f971]) ).
fof(f2000,plain,
! [X0,X1] : hAPP(X0,X1) = hAPP(hAPP(sF6,X1),X0),
inference(superposition,[],[f1633,f982]) ).
fof(f2056,plain,
! [X0] : hAPP(X0,sF7) = hAPP(sF8,X0),
inference(superposition,[],[f2000,f986]) ).
fof(f2057,plain,
sF9 = hAPP(c_Arrow__Order__Mirabelle_OProf,sF7),
inference(backward_demodulation,[],[f988,f2056]) ).
fof(f2130,definition,
( spl10_12
<=> ! [X0] : ~ hBOOL(X0) ),
introduced(definition,[new_symbols(definition,[spl10_12])],[avatar_definition]) ).
fof(f2131,plain,
( ! [X0] : ~ hBOOL(X0)
| ~ spl10_12 ),
inference(avatar_component_clause,[],[f2130]) ).
fof(f2141,plain,
( $false
| ~ spl10_12 ),
inference(resolution,[],[f2131,f978]) ).
fof(f2144,plain,
~ spl10_12,
inference(avatar_contradiction_clause,[],[f2141]) ).
fof(f2165,plain,
! [X0,X1] :
( hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(sF1),hAPP(c_fequal(sF0),X0)),X1) = X1
| ~ hBOOL(hAPP(X1,X0)) ),
inference(superposition,[],[f1713,f971]) ).
fof(f2282,plain,
! [X2,X3,X0,X1,X6,X4,X5] : hAPP(X6,hAPP(X1,X5)) = hAPP(hAPP(c_COMBB(c_in(X0),X1,X2,X3,X4),X5),X6),
inference(superposition,[],[f1633,f228]) ).
fof(f2329,plain,
! [X0] :
( c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)) = hAPP(c_COMBC(c_COMBB(c_in(sF1),sF7,sF1,tc_fun(tc_fun(sF1,tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool),tc_bool),X0)
| hBOOL(hAPP(X0,v_L)) ),
inference(superposition,[],[f1700,f984]) ).
fof(f2332,plain,
! [X2,X3,X0,X1,X4] :
( hAPP(hAPP(c_COMBB(c_in(X1),c_COMBK(X2,X1,X0),X1,tc_fun(tc_fun(X1,tc_bool),tc_bool),X0),X4),X3) = hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X4)
| hBOOL(hAPP(X3,X2)) ),
inference(superposition,[],[f448,f1700]) ).
fof(f2336,plain,
! [X2,X3,X0,X1,X4] :
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X4) = hAPP(X3,hAPP(c_COMBK(X2,X1,X0),X4))
| hBOOL(hAPP(X3,X2)) ),
inference(forward_demodulation,[],[f2332,f2282]) ).
fof(f2337,plain,
! [X0] :
( c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)) = hAPP(c_COMBC(c_COMBB(sF2,sF7,sF1,tc_fun(tc_fun(sF1,tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool),tc_bool),X0)
| hBOOL(hAPP(X0,v_L)) ),
inference(forward_demodulation,[],[f2329,f973]) ).
fof(f2338,plain,
! [X2,X3,X0,X4] :
( hAPP(X3,X2) = hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X4)
| hBOOL(hAPP(X3,X2)) ),
inference(forward_demodulation,[],[f2336,f834]) ).
fof(f2372,plain,
! [X2,X0,X1] :
( hAPP(X0,X1) = hAPP(c_Orderings_Obot__class_Obot(sF1),X2)
| hBOOL(hAPP(X0,X1)) ),
inference(superposition,[],[f2338,f971]) ).
fof(f2373,plain,
! [X2,X3,X0,X1] :
( hAPP(X0,X1) = hAPP(X2,X3)
| hBOOL(hAPP(X2,X3))
| hBOOL(hAPP(X0,X1)) ),
inference(superposition,[],[f2338,f2338]) ).
fof(f2470,definition,
( spl10_24
<=> ! [X2] : hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))) ),
introduced(definition,[new_symbols(definition,[spl10_24])],[avatar_definition]) ).
fof(f2471,plain,
( ! [X2] : hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool))))
| ~ spl10_24 ),
inference(avatar_component_clause,[],[f2470]) ).
fof(f2504,definition,
( spl10_29
<=> ! [X2] : hBOOL(hAPP(c_lessequals(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))) ),
introduced(definition,[new_symbols(definition,[spl10_29])],[avatar_definition]) ).
fof(f2505,plain,
( ! [X2] : hBOOL(hAPP(c_lessequals(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))))
| ~ spl10_29 ),
inference(avatar_component_clause,[],[f2504]) ).
fof(f2588,plain,
! [X2,X0,X1] :
( hAPP(X1,X2) = X0
| hBOOL(X0)
| hBOOL(hAPP(X1,X2)) ),
inference(superposition,[],[f2373,f834]) ).
fof(f2589,plain,
! [X0,X1] :
( hAPP(X0,X1) = sF9
| hBOOL(sF9)
| hBOOL(hAPP(X0,X1)) ),
inference(superposition,[],[f2373,f2057]) ).
fof(f2806,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(sF1),X0))
| c_Orderings_Obot__class_Obot(sF1) != X1
| hBOOL(hAPP(X1,X2)) ),
inference(superposition,[],[f1995,f2372]) ).
fof(f2819,plain,
! [X2,X0,X1] :
( hAPP(c_Orderings_Obot__class_Obot(sF1),X0) = X2
| ~ hBOOL(hAPP(X2,X1))
| hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(sF1),hAPP(c_fequal(sF0),X1)),X2)) ),
inference(superposition,[],[f2165,f2372]) ).
fof(f2886,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(sF1),X0))
| c_Orderings_Obot__class_Obot(sF1) != X1 ),
inference(forward_subsumption_resolution,[],[f2806,f1995]) ).
fof(f3222,plain,
! [X0,X1] :
( hAPP(X0,X1) = sF9
| hBOOL(hAPP(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f2589,f989]) ).
fof(f3259,definition,
( spl10_36
<=> ! [X0] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(sF1),X0)) ),
introduced(definition,[new_symbols(definition,[spl10_36])],[avatar_definition]) ).
fof(f3260,plain,
( ! [X0] : ~ hBOOL(hAPP(c_Orderings_Obot__class_Obot(sF1),X0))
| ~ spl10_36 ),
inference(avatar_component_clause,[],[f3259]) ).
fof(f3263,definition,
( spl10_37
<=> ! [X1] : c_Orderings_Obot__class_Obot(sF1) != X1 ),
introduced(definition,[new_symbols(definition,[spl10_37])],[avatar_definition]) ).
fof(f3264,plain,
( ! [X1] : c_Orderings_Obot__class_Obot(sF1) != X1
| ~ spl10_37 ),
inference(avatar_component_clause,[],[f3263]) ).
fof(f3265,plain,
( spl10_37
| spl10_36 ),
inference(avatar_split_clause,[],[f2886,f3259,f3263]) ).
fof(f3340,plain,
! [X0] :
( sF9 = X0
| hBOOL(X0) ),
inference(superposition,[],[f3222,f834]) ).
fof(f3420,plain,
! [X0,X1] :
( hAPP(X0,X1) = hAPP(sF9,X0)
| hBOOL(hAPP(sF6,X1)) ),
inference(superposition,[],[f2000,f3222]) ).
fof(f3813,plain,
! [X2,X0,X1] :
( hAPP(X0,X2) = X2
| hBOOL(X0)
| hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))) ),
inference(superposition,[],[f608,f2588]) ).
fof(f4104,definition,
( spl10_39
<=> ! [X0,X1] :
( hBOOL(X0)
| hAPP(X0,X1) = X1 ) ),
introduced(definition,[new_symbols(definition,[spl10_39])],[avatar_definition]) ).
fof(f4105,plain,
( ! [X0,X1] :
( hAPP(X0,X1) = X1
| hBOOL(X0) )
| ~ spl10_39 ),
inference(avatar_component_clause,[],[f4104]) ).
fof(f5112,plain,
! [X0,X1] :
( hBOOL(hAPP(sF9,X1))
| hBOOL(hAPP(c_lessequals(tc_fun(X0,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)))) ),
inference(superposition,[],[f105,f3222]) ).
fof(f5145,plain,
! [X0,X1] :
( hAPP(sF9,X1) = X1
| hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X0,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)))) ),
inference(superposition,[],[f608,f3222]) ).
fof(f5687,definition,
( spl10_73
<=> hBOOL(hAPP(sF9,c_Lattices_Oupper__semilattice__class_Osup(sF1))) ),
introduced(definition,[new_symbols(definition,[spl10_73])],[avatar_definition]) ).
fof(f5688,plain,
( ~ hBOOL(hAPP(sF9,c_Lattices_Oupper__semilattice__class_Osup(sF1)))
| spl10_73 ),
inference(avatar_component_clause,[],[f5687]) ).
fof(f5689,plain,
( hBOOL(hAPP(sF9,c_Lattices_Oupper__semilattice__class_Osup(sF1)))
| ~ spl10_73 ),
inference(avatar_component_clause,[],[f5687]) ).
fof(f5788,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(sF9,X0))
| c_Orderings_Obot__class_Obot(sF1) != X0
| hBOOL(hAPP(sF6,X1)) ),
inference(superposition,[],[f1995,f3420]) ).
fof(f5883,definition,
( spl10_78
<=> ! [X0] : hBOOL(hAPP(sF6,X0)) ),
introduced(definition,[new_symbols(definition,[spl10_78])],[avatar_definition]) ).
fof(f5884,plain,
( ! [X0] : hBOOL(hAPP(sF6,X0))
| ~ spl10_78 ),
inference(avatar_component_clause,[],[f5883]) ).
fof(f5973,plain,
( $false
| ~ spl10_37 ),
inference(equality_resolution,[],[f3264]) ).
fof(f5974,plain,
~ spl10_37,
inference(avatar_contradiction_clause,[],[f5973]) ).
fof(f5989,definition,
( spl10_88
<=> ! [X0] : hAPP(sF9,X0) = X0 ),
introduced(definition,[new_symbols(definition,[spl10_88])],[avatar_definition]) ).
fof(f5990,plain,
( ! [X0] : hAPP(sF9,X0) = X0
| ~ spl10_88 ),
inference(avatar_component_clause,[],[f5989]) ).
fof(f6002,definition,
( spl10_91
<=> ! [X0] :
( ~ hBOOL(hAPP(sF9,X0))
| c_Orderings_Obot__class_Obot(sF1) != X0 ) ),
introduced(definition,[new_symbols(definition,[spl10_91])],[avatar_definition]) ).
fof(f6003,plain,
( ! [X0] :
( ~ hBOOL(hAPP(sF9,X0))
| c_Orderings_Obot__class_Obot(sF1) != X0 )
| ~ spl10_91 ),
inference(avatar_component_clause,[],[f6002]) ).
fof(f6010,plain,
( spl10_78
| spl10_91 ),
inference(avatar_split_clause,[],[f5788,f6002,f5883]) ).
fof(f6601,plain,
( ! [X0] :
( hBOOL(hAPP(X0,c_Lattices_Oupper__semilattice__class_Osup(sF1)))
| hBOOL(X0) )
| ~ spl10_73 ),
inference(superposition,[],[f5689,f3340]) ).
fof(f7254,plain,
( hBOOL(c_Orderings_Obot__class_Obot(sF1))
| ~ spl10_36
| ~ spl10_73 ),
inference(resolution,[],[f6601,f3260]) ).
fof(f7287,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(X0,X1))
| hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))
| hBOOL(hAPP(X0,X1)) )
| ~ spl10_73 ),
inference(superposition,[],[f6601,f2338]) ).
fof(f7313,plain,
( ! [X2,X0,X1] :
( hBOOL(hAPP(X0,X1))
| hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) )
| ~ spl10_73 ),
inference(duplicate_literal_removal,[],[f7287]) ).
fof(f7322,definition,
( spl10_104
<=> hBOOL(c_Lattices_Oupper__semilattice__class_Osup(sF1)) ),
introduced(definition,[new_symbols(definition,[spl10_104])],[avatar_definition]) ).
fof(f7323,plain,
( ~ hBOOL(c_Lattices_Oupper__semilattice__class_Osup(sF1))
| spl10_104 ),
inference(avatar_component_clause,[],[f7322]) ).
fof(f7324,plain,
( hBOOL(c_Lattices_Oupper__semilattice__class_Osup(sF1))
| ~ spl10_104 ),
inference(avatar_component_clause,[],[f7322]) ).
fof(f7335,definition,
( spl10_107
<=> hBOOL(c_Orderings_Obot__class_Obot(sF1)) ),
introduced(definition,[new_symbols(definition,[spl10_107])],[avatar_definition]) ).
fof(f7337,plain,
( hBOOL(c_Orderings_Obot__class_Obot(sF1))
| ~ spl10_107 ),
inference(avatar_component_clause,[],[f7335]) ).
fof(f7339,definition,
( spl10_108
<=> ! [X0,X1] : hBOOL(hAPP(X0,X1)) ),
introduced(definition,[new_symbols(definition,[spl10_108])],[avatar_definition]) ).
fof(f7340,plain,
( ! [X0,X1] : hBOOL(hAPP(X0,X1))
| ~ spl10_108 ),
inference(avatar_component_clause,[],[f7339]) ).
fof(f7343,definition,
( spl10_109
<=> ! [X0] : hBOOL(X0) ),
introduced(definition,[new_symbols(definition,[spl10_109])],[avatar_definition]) ).
fof(f7344,plain,
( ! [X0] : hBOOL(X0)
| ~ spl10_109 ),
inference(avatar_component_clause,[],[f7343]) ).
fof(f7347,definition,
( spl10_110
<=> ! [X2] : hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool))) ),
introduced(definition,[new_symbols(definition,[spl10_110])],[avatar_definition]) ).
fof(f7348,plain,
( ! [X2] : hBOOL(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))
| ~ spl10_110 ),
inference(avatar_component_clause,[],[f7347]) ).
fof(f7349,plain,
( spl10_110
| spl10_108
| ~ spl10_73 ),
inference(avatar_split_clause,[],[f7313,f5687,f7339,f7347]) ).
fof(f7372,plain,
( spl10_107
| ~ spl10_36
| ~ spl10_73 ),
inference(avatar_split_clause,[],[f7254,f5687,f3259,f7335]) ).
fof(f7553,definition,
( spl10_117
<=> ! [X0] : hBOOL(hAPP(sF9,X0)) ),
introduced(definition,[new_symbols(definition,[spl10_117])],[avatar_definition]) ).
fof(f7554,plain,
( ! [X0] : hBOOL(hAPP(sF9,X0))
| ~ spl10_117 ),
inference(avatar_component_clause,[],[f7553]) ).
fof(f8935,plain,
( ~ hBOOL(c_Lattices_Oupper__semilattice__class_Osup(sF1))
| spl10_73
| ~ spl10_88 ),
inference(backward_demodulation,[],[f5688,f5990]) ).
fof(f9130,plain,
( $false
| spl10_73
| ~ spl10_88
| ~ spl10_104 ),
inference(forward_subsumption_resolution,[],[f8935,f7324]) ).
fof(f9131,plain,
( spl10_73
| ~ spl10_88
| ~ spl10_104 ),
inference(avatar_contradiction_clause,[],[f9130]) ).
fof(f13986,plain,
( $false
| ~ spl10_109 ),
inference(resolution,[],[f7344,f989]) ).
fof(f13987,plain,
~ spl10_109,
inference(avatar_contradiction_clause,[],[f13986]) ).
fof(f13988,plain,
( ! [X0] : hBOOL(X0)
| ~ spl10_108 ),
inference(superposition,[],[f7340,f835]) ).
fof(f13989,plain,
( spl10_109
| ~ spl10_108 ),
inference(avatar_split_clause,[],[f13988,f7339,f7343]) ).
fof(f14774,plain,
! [X2,X0,X1] :
( hAPP(hAPP(c_Orderings_Obot__class_Obot(sF1),X0),X2) = X2
| hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X1,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X1,tc_bool)))) ),
inference(superposition,[],[f608,f2372]) ).
fof(f15262,plain,
! [X2,X0,X1] :
( hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1) = c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))
| hBOOL(hAPP(X2,v_L))
| hBOOL(hAPP(c_COMBC(c_COMBB(sF2,sF7,sF1,tc_fun(tc_fun(sF1,tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool),tc_bool),X2)) ),
inference(superposition,[],[f2337,f2338]) ).
fof(f15263,plain,
! [X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)) = hAPP(c_Orderings_Obot__class_Obot(sF1),X0)
| hBOOL(hAPP(X1,v_L))
| hBOOL(hAPP(c_COMBC(c_COMBB(sF2,sF7,sF1,tc_fun(tc_fun(sF1,tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool),tc_bool),X1)) ),
inference(superposition,[],[f2337,f2372]) ).
fof(f15278,definition,
( spl10_168
<=> ! [X1] :
( hBOOL(hAPP(X1,v_L))
| hBOOL(hAPP(c_COMBC(c_COMBB(sF2,sF7,sF1,tc_fun(tc_fun(sF1,tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool),tc_bool),X1)) ) ),
introduced(definition,[new_symbols(definition,[spl10_168])],[avatar_definition]) ).
fof(f15279,plain,
( ! [X1] :
( hBOOL(hAPP(X1,v_L))
| hBOOL(hAPP(c_COMBC(c_COMBB(sF2,sF7,sF1,tc_fun(tc_fun(sF1,tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool),tc_bool),X1)) )
| ~ spl10_168 ),
inference(avatar_component_clause,[],[f15278]) ).
fof(f15281,definition,
( spl10_169
<=> ! [X0] : c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)) = hAPP(c_Orderings_Obot__class_Obot(sF1),X0) ),
introduced(definition,[new_symbols(definition,[spl10_169])],[avatar_definition]) ).
fof(f15282,plain,
( ! [X0] : c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)) = hAPP(c_Orderings_Obot__class_Obot(sF1),X0)
| ~ spl10_169 ),
inference(avatar_component_clause,[],[f15281]) ).
fof(f15283,plain,
( spl10_168
| spl10_169 ),
inference(avatar_split_clause,[],[f15263,f15281,f15278]) ).
fof(f15285,definition,
( spl10_170
<=> ! [X0,X1] : hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1) = c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)) ),
introduced(definition,[new_symbols(definition,[spl10_170])],[avatar_definition]) ).
fof(f15286,plain,
( ! [X0,X1] : hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X1) = c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))
| ~ spl10_170 ),
inference(avatar_component_clause,[],[f15285]) ).
fof(f15287,plain,
( spl10_168
| spl10_170 ),
inference(avatar_split_clause,[],[f15262,f15285,f15278]) ).
fof(f15289,definition,
( spl10_171
<=> ! [X0] : hBOOL(hAPP(X0,v_L)) ),
introduced(definition,[new_symbols(definition,[spl10_171])],[avatar_definition]) ).
fof(f15290,plain,
( ! [X0] : hBOOL(hAPP(X0,v_L))
| ~ spl10_171 ),
inference(avatar_component_clause,[],[f15289]) ).
fof(f17020,plain,
! [X2,X3,X0,X1,X4] :
( hAPP(hAPP(c_COMBB(c_in(X1),c_COMBK(X2,X1,X0),X1,tc_fun(tc_fun(X1,tc_bool),tc_bool),X0),X4),X3) = hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X4)
| ~ hBOOL(hAPP(X3,X2)) ),
inference(superposition,[],[f448,f1699]) ).
fof(f17037,plain,
! [X2,X3,X0,X1,X4] :
( hAPP(X3,hAPP(c_COMBK(X2,X1,X0),X4)) = hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X4)
| ~ hBOOL(hAPP(X3,X2)) ),
inference(forward_demodulation,[],[f17020,f2282]) ).
fof(f17041,plain,
! [X2,X3,X0,X4] :
( hAPP(X3,X2) = hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X4)
| ~ hBOOL(hAPP(X3,X2)) ),
inference(forward_demodulation,[],[f17037,f834]) ).
fof(f17145,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1),X3))
| ~ hBOOL(hAPP(c_lessequals(tc_fun(X2,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)))) ),
inference(superposition,[],[f105,f17041]) ).
fof(f17215,plain,
! [X2,X3,X0,X1] :
( hAPP(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1),X3) = X3
| ~ hBOOL(hAPP(c_Lattices_Olower__semilattice__class_Oinf(tc_fun(X2,tc_bool)),c_Orderings_Otop__class_Otop(tc_fun(X2,tc_bool)))) ),
inference(superposition,[],[f608,f17041]) ).
fof(f17230,plain,
! [X2,X0,X1] :
( hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1) = c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))
| hBOOL(hAPP(X2,v_L))
| ~ hBOOL(hAPP(c_COMBC(c_COMBB(sF2,sF7,sF1,tc_fun(tc_fun(sF1,tc_bool),tc_bool),tc_Arrow__Order__Mirabelle_Oindi),tc_Arrow__Order__Mirabelle_Oindi,tc_fun(sF1,tc_bool),tc_bool),X2)) ),
inference(superposition,[],[f2337,f17041]) ).
fof(f17273,plain,
! [X2,X3,X0,X1] :
( hAPP(X2,X3) = hAPP(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1),X2)
| ~ hBOOL(hAPP(sF6,X3)) ),
inference(superposition,[],[f2000,f17041]) ).
fof(f17321,plain,
( ! [X2,X3,X0,X1] : hAPP(X2,X3) = hAPP(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1),X2)
| ~ spl10_78 ),
inference(forward_subsumption_resolution,[],[f17273,f5884]) ).
fof(f17345,plain,
( ! [X2,X0,X1] :
( hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1) = c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))
| hBOOL(hAPP(X2,v_L)) )
| ~ spl10_168 ),
inference(forward_subsumption_resolution,[],[f17230,f15279]) ).
fof(f17348,plain,
( ! [X3,X0,X1] : hAPP(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1),X3) = X3
| ~ spl10_24 ),
inference(forward_subsumption_resolution,[],[f17215,f2471]) ).
fof(f17369,plain,
( ! [X3,X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1),X3))
| ~ spl10_29 ),
inference(forward_subsumption_resolution,[],[f17145,f2505]) ).
fof(f21195,plain,
( ! [X2,X3] : hAPP(X2,X3) = X2
| ~ spl10_24
| ~ spl10_78 ),
inference(backward_demodulation,[],[f17321,f17348]) ).
fof(f21199,plain,
( ! [X3] : hBOOL(X3)
| ~ spl10_24
| ~ spl10_29 ),
inference(forward_demodulation,[],[f17369,f17348]) ).
fof(f22131,plain,
( ~ hBOOL(c_Orderings_Obot__class_Obot(sF1))
| ~ spl10_24
| ~ spl10_36
| ~ spl10_78 ),
inference(backward_demodulation,[],[f3260,f21195]) ).
fof(f22258,plain,
( spl10_109
| ~ spl10_24
| ~ spl10_29 ),
inference(avatar_split_clause,[],[f21199,f2504,f2470,f7343]) ).
fof(f22407,plain,
( $false
| ~ spl10_24
| ~ spl10_36
| ~ spl10_78
| ~ spl10_107 ),
inference(forward_subsumption_resolution,[],[f22131,f7337]) ).
fof(f22408,plain,
( ~ spl10_24
| ~ spl10_36
| ~ spl10_78
| ~ spl10_107 ),
inference(avatar_contradiction_clause,[],[f22407]) ).
fof(f24960,definition,
( spl10_212
<=> ! [X0,X1] : hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1) = c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)) ),
introduced(definition,[new_symbols(definition,[spl10_212])],[avatar_definition]) ).
fof(f24961,plain,
( ! [X0,X1] : hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1) = c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool))
| ~ spl10_212 ),
inference(avatar_component_clause,[],[f24960]) ).
fof(f24962,plain,
( spl10_171
| spl10_212
| ~ spl10_168 ),
inference(avatar_split_clause,[],[f17345,f15278,f24960,f15289]) ).
fof(f24988,definition,
( spl10_218
<=> ! [X2,X0] : hAPP(hAPP(c_Orderings_Obot__class_Obot(sF1),X0),X2) = X2 ),
introduced(definition,[new_symbols(definition,[spl10_218])],[avatar_definition]) ).
fof(f24989,plain,
( ! [X2,X0] : hAPP(hAPP(c_Orderings_Obot__class_Obot(sF1),X0),X2) = X2
| ~ spl10_218 ),
inference(avatar_component_clause,[],[f24988]) ).
fof(f24992,plain,
( spl10_24
| spl10_39 ),
inference(avatar_split_clause,[],[f3813,f4104,f2470]) ).
fof(f24993,plain,
( spl10_24
| spl10_88 ),
inference(avatar_split_clause,[],[f5145,f5989,f2470]) ).
fof(f24997,plain,
( spl10_24
| spl10_218 ),
inference(avatar_split_clause,[],[f14774,f24988,f2470]) ).
fof(f25273,plain,
( spl10_29
| spl10_117 ),
inference(avatar_split_clause,[],[f5112,f7553,f2504]) ).
fof(f29413,plain,
( $false
| spl10_73
| ~ spl10_117 ),
inference(forward_subsumption_resolution,[],[f5688,f7554]) ).
fof(f29414,plain,
( spl10_73
| ~ spl10_117 ),
inference(avatar_contradiction_clause,[],[f29413]) ).
fof(f30187,plain,
( ! [X0] : c_Orderings_Obot__class_Obot(sF1) != X0
| ~ spl10_91
| ~ spl10_117 ),
inference(forward_subsumption_resolution,[],[f6003,f7554]) ).
fof(f30264,plain,
( spl10_37
| ~ spl10_91
| ~ spl10_117 ),
inference(avatar_split_clause,[],[f30187,f7553,f6002,f3263]) ).
fof(f30316,plain,
( ! [X0] : hBOOL(X0)
| ~ spl10_88
| ~ spl10_117 ),
inference(backward_demodulation,[],[f7554,f5990]) ).
fof(f30629,plain,
( ! [X3,X0,X1] : hBOOL(hAPP(hAPP(c_Orderings_Otop__class_Otop(tc_fun(X0,tc_bool)),X1),X3))
| ~ spl10_29 ),
inference(forward_subsumption_resolution,[],[f17145,f2505]) ).
fof(f30651,plain,
( ~ hBOOL(c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)))
| ~ spl10_170 ),
inference(backward_demodulation,[],[f598,f15286]) ).
fof(f30763,plain,
( spl10_109
| ~ spl10_88
| ~ spl10_117 ),
inference(avatar_split_clause,[],[f30316,f7553,f5989,f7343]) ).
fof(f30814,plain,
( $false
| ~ spl10_110
| ~ spl10_170 ),
inference(forward_subsumption_resolution,[],[f30651,f7348]) ).
fof(f30815,plain,
( ~ spl10_110
| ~ spl10_170 ),
inference(avatar_contradiction_clause,[],[f30814]) ).
fof(f33497,plain,
( ! [X0] : hBOOL(X0)
| ~ spl10_171 ),
inference(superposition,[],[f15290,f834]) ).
fof(f33502,plain,
( spl10_109
| ~ spl10_171 ),
inference(avatar_split_clause,[],[f33497,f15289,f7343]) ).
fof(f37392,plain,
( ! [X3] : hBOOL(hAPP(c_Orderings_Obot__class_Obot(tc_fun(tc_Arrow__Order__Mirabelle_Oindi,tc_bool)),X3))
| ~ spl10_29
| ~ spl10_212 ),
inference(forward_demodulation,[],[f30629,f24961]) ).
fof(f37400,plain,
( $false
| ~ spl10_29
| ~ spl10_212 ),
inference(forward_subsumption_resolution,[],[f37392,f598]) ).
fof(f37401,plain,
( ~ spl10_29
| ~ spl10_212 ),
inference(avatar_contradiction_clause,[],[f37400]) ).
fof(f40796,plain,
( ! [X2,X0,X1] :
( hAPP(c_Orderings_Obot__class_Obot(sF1),X0) != X1
| ~ hBOOL(hAPP(X1,X2)) )
| ~ spl10_169 ),
inference(superposition,[],[f1080,f15282]) ).
fof(f40831,plain,
( ! [X0] :
( hAPP(X0,X0) = X0
| hBOOL(c_Lattices_Oupper__semilattice__class_Osup(sF1)) )
| ~ spl10_39 ),
inference(superposition,[],[f1997,f4105]) ).
fof(f40857,plain,
( ! [X0] : hAPP(X0,X0) = X0
| ~ spl10_39
| spl10_104 ),
inference(forward_subsumption_resolution,[],[f40831,f7323]) ).
fof(f40905,plain,
( ! [X0] : hAPP(c_Orderings_Obot__class_Obot(sF1),X0) = X0
| ~ spl10_39
| spl10_104
| ~ spl10_218 ),
inference(superposition,[],[f24989,f40857]) ).
fof(f40918,plain,
( ! [X2,X0,X1] : c_COMBK(X0,X1,X2) = X0
| ~ spl10_39
| spl10_104 ),
inference(superposition,[],[f834,f40857]) ).
fof(f40943,plain,
( ! [X3,X0] : hAPP(X0,X3) = X0
| ~ spl10_39
| spl10_104 ),
inference(backward_demodulation,[],[f834,f40918]) ).
fof(f41050,plain,
( ! [X2,X0,X1] :
( X0 = X2
| ~ hBOOL(hAPP(X2,X1))
| hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(sF1),hAPP(c_fequal(sF0),X1)),X2)) )
| ~ spl10_39
| spl10_104
| ~ spl10_218 ),
inference(backward_demodulation,[],[f2819,f40905]) ).
fof(f41082,plain,
( ! [X2,X0,X1] :
( X0 != X1
| ~ hBOOL(hAPP(X1,X2)) )
| ~ spl10_39
| spl10_104
| ~ spl10_169
| ~ spl10_218 ),
inference(backward_demodulation,[],[f40796,f40905]) ).
fof(f42184,plain,
( ! [X0,X1] :
( ~ hBOOL(X1)
| X0 != X1 )
| ~ spl10_39
| spl10_104
| ~ spl10_169
| ~ spl10_218 ),
inference(forward_demodulation,[],[f41082,f40943]) ).
fof(f42214,plain,
( ! [X2,X0,X1] :
( ~ hBOOL(X2)
| X0 = X2
| hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(sF1),hAPP(c_fequal(sF0),X1)),X2)) )
| ~ spl10_39
| spl10_104
| ~ spl10_218 ),
inference(forward_demodulation,[],[f41050,f40943]) ).
fof(f42987,plain,
( ! [X2,X1] :
( ~ hBOOL(X2)
| hBOOL(hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(sF1),hAPP(c_fequal(sF0),X1)),X2)) )
| ~ spl10_39
| spl10_104
| ~ spl10_169
| ~ spl10_218 ),
inference(forward_subsumption_resolution,[],[f42214,f42184]) ).
fof(f43447,plain,
( ! [X2,X1] :
( hBOOL(hAPP(c_Lattices_Oupper__semilattice__class_Osup(sF1),hAPP(c_fequal(sF0),X1)))
| ~ hBOOL(X2) )
| ~ spl10_39
| spl10_104
| ~ spl10_169
| ~ spl10_218 ),
inference(forward_demodulation,[],[f42987,f40943]) ).
fof(f43741,plain,
( ! [X2] :
( hBOOL(c_Lattices_Oupper__semilattice__class_Osup(sF1))
| ~ hBOOL(X2) )
| ~ spl10_39
| spl10_104
| ~ spl10_169
| ~ spl10_218 ),
inference(forward_demodulation,[],[f43447,f40943]) ).
fof(f43902,plain,
( ! [X2] : ~ hBOOL(X2)
| ~ spl10_39
| spl10_104
| ~ spl10_169
| ~ spl10_218 ),
inference(forward_subsumption_resolution,[],[f43741,f7323]) ).
fof(f44001,plain,
( spl10_12
| ~ spl10_39
| spl10_104
| ~ spl10_169
| ~ spl10_218 ),
inference(avatar_split_clause,[],[f43902,f24988,f15281,f7322,f4104,f2130]) ).
cnf(s10,plain,
~ spl10_12,
inference(sat_conversion,[],[f2144]) ).
cnf(s34,plain,
( spl10_36
| spl10_37 ),
inference(sat_conversion,[],[f3265]) ).
cnf(s108,plain,
~ spl10_37,
inference(sat_conversion,[],[f5974]) ).
cnf(s117,plain,
( spl10_78
| spl10_91 ),
inference(sat_conversion,[],[f6010]) ).
cnf(s152,plain,
( ~ spl10_73
| spl10_108
| spl10_110 ),
inference(sat_conversion,[],[f7349]) ).
cnf(s159,plain,
( ~ spl10_36
| ~ spl10_73
| spl10_107 ),
inference(sat_conversion,[],[f7372]) ).
cnf(s223,plain,
( spl10_73
| ~ spl10_88
| ~ spl10_104 ),
inference(sat_conversion,[],[f9131]) ).
cnf(s496,plain,
~ spl10_109,
inference(sat_conversion,[],[f13987]) ).
cnf(s497,plain,
( ~ spl10_108
| spl10_109 ),
inference(sat_conversion,[],[f13989]) ).
cnf(s505,plain,
( spl10_168
| spl10_169 ),
inference(sat_conversion,[],[f15283]) ).
cnf(s506,plain,
( spl10_168
| spl10_170 ),
inference(sat_conversion,[],[f15287]) ).
cnf(s656,plain,
( ~ spl10_24
| ~ spl10_29
| spl10_109 ),
inference(sat_conversion,[],[f22258]) ).
cnf(s664,plain,
( ~ spl10_24
| ~ spl10_36
| ~ spl10_78
| ~ spl10_107 ),
inference(sat_conversion,[],[f22408]) ).
cnf(s834,plain,
( ~ spl10_168
| spl10_171
| spl10_212 ),
inference(sat_conversion,[],[f24962]) ).
cnf(s845,plain,
( spl10_24
| spl10_39 ),
inference(sat_conversion,[],[f24992]) ).
cnf(s846,plain,
( spl10_24
| spl10_88 ),
inference(sat_conversion,[],[f24993]) ).
cnf(s850,plain,
( spl10_24
| spl10_218 ),
inference(sat_conversion,[],[f24997]) ).
cnf(s907,plain,
( spl10_29
| spl10_117 ),
inference(sat_conversion,[],[f25273]) ).
cnf(s1104,plain,
( spl10_73
| ~ spl10_117 ),
inference(sat_conversion,[],[f29414]) ).
cnf(s1395,plain,
( spl10_37
| ~ spl10_91
| ~ spl10_117 ),
inference(sat_conversion,[],[f30264]) ).
cnf(s1400,plain,
( ~ spl10_88
| spl10_109
| ~ spl10_117 ),
inference(sat_conversion,[],[f30763]) ).
cnf(s1403,plain,
( ~ spl10_110
| ~ spl10_170 ),
inference(sat_conversion,[],[f30815]) ).
cnf(s1712,plain,
( spl10_109
| ~ spl10_171 ),
inference(sat_conversion,[],[f33502]) ).
cnf(s1903,plain,
( ~ spl10_29
| ~ spl10_212 ),
inference(sat_conversion,[],[f37401]) ).
cnf(s2488,plain,
( spl10_12
| ~ spl10_39
| spl10_104
| ~ spl10_169
| ~ spl10_218 ),
inference(sat_conversion,[],[f44001]) ).
cnf(s2531,plain,
~ spl10_171,
inference(rat,[],[s1712,s496]) ).
cnf(s2532,plain,
~ spl10_108,
inference(rat,[],[s497,s496]) ).
cnf(s2565,plain,
( ~ spl10_73
| spl10_110 ),
inference(rat,[],[s152,s2532]) ).
cnf(s2569,plain,
spl10_36,
inference(rat,[],[s34,s108]) ).
cnf(s2579,plain,
~ spl10_29,
inference(rat,[],[s2565,s223,s1403,s2488,s505,s506,s845,s846,s850,s834,s656,s1903,s10,s2531,s496]) ).
cnf(s2580,plain,
spl10_117,
inference(rat,[],[s907,s2579]) ).
cnf(s2590,plain,
spl10_73,
inference(rat,[],[s1104,s2580]) ).
cnf(s2591,plain,
~ spl10_88,
inference(rat,[],[s1400,s496,s2580]) ).
cnf(s2592,plain,
~ spl10_91,
inference(rat,[],[s1395,s108,s2580]) ).
cnf(s2606,plain,
spl10_107,
inference(rat,[],[s159,s2569,s2590]) ).
cnf(s2610,plain,
spl10_24,
inference(rat,[],[s846,s2591]) ).
cnf(s2614,plain,
spl10_78,
inference(rat,[],[s117,s2592]) ).
cnf(s2619,plain,
$false,
inference(rat,[],[s664,s2610,s2569,s2614,s2606]) ).
fof(f44104,plain,
$false,
inference(avatar_sat_refutation,[],[s2619]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT025-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.37 % Computer : n005.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Sun Sep 27 23:30:04 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.40 Running first-order theorem proving
% 0.10/0.40 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 10.07/2.32 % (293043)Input is clausal, will run a generic CNF schedule.
% 10.07/2.32 % (293052)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1604686590:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.07/2.32 % (293050)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1043308634:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.07/2.32 % (293053)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2157453318:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.07/2.32 % (293051)lrs+10_1_sil=8000:sp=occurrence:random_seed=2115672470:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.07/2.32 % (293048)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2825698534:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.07/2.32 % (293054)dis-21_1_sil=8000:lcm=predicate:random_seed=4189170593:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 10.07/2.32 % (293049)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1519584852:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.07/2.32 % (293052)Instruction limit reached!
% 10.07/2.32 % (293052)------------------------------
% 10.07/2.32 % (293052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.07/2.32 % (293052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/2.32 % (293052)CaDiCaL version: 2.1.3
% 10.07/2.32 % (293052)Termination reason: Instruction limit
% 10.07/2.32 % (293052)Termination phase: Saturation
% 10.07/2.32 % (293052)Time elapsed: 0.043 s
% 10.07/2.32 % (293052)Peak memory usage: 89 MB
% 10.07/2.32 % (293052)Instructions burned: 116 (million)
% 10.07/2.32 % (293054)Instruction limit reached!
% 10.07/2.32 % (293054)------------------------------
% 10.07/2.32 % (293054)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.07/2.32 % (293054)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/2.32 % (293054)CaDiCaL version: 2.1.3
% 10.07/2.32 % (293054)Termination reason: Instruction limit
% 10.07/2.32 % (293054)Termination phase: Saturation
% 10.07/2.32 % (293054)Time elapsed: 0.067 s
% 10.07/2.32 % (293054)Peak memory usage: 89 MB
% 10.07/2.32 % (293054)Instructions burned: 121 (million)
% 10.07/2.32 % (293051)Instruction limit reached!
% 10.07/2.32 % (293051)------------------------------
% 10.07/2.32 % (293051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.07/2.32 % (293051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/2.32 % (293051)CaDiCaL version: 2.1.3
% 10.07/2.32 % (293051)Termination reason: Instruction limit
% 10.07/2.32 % (293051)Termination phase: Saturation
% 10.07/2.32 % (293051)Time elapsed: 0.074 s
% 10.07/2.32 % (293051)Peak memory usage: 89 MB
% 10.07/2.32 % (293051)Instructions burned: 108 (million)
% 10.07/2.32 % (293053)Instruction limit reached!
% 10.07/2.32 % (293053)------------------------------
% 10.07/2.32 % (293053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.07/2.32 % (293053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/2.32 % (293053)CaDiCaL version: 2.1.3
% 10.07/2.32 % (293053)Termination reason: Instruction limit
% 10.07/2.32 % (293053)Termination phase: Saturation
% 10.07/2.32 % (293053)Time elapsed: 0.104 s
% 10.07/2.32 % (293053)Peak memory usage: 89 MB
% 10.07/2.32 % (293053)Instructions burned: 181 (million)
% 10.07/2.32 % (293062)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2653553553:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.07/2.32 % (293062)Instruction limit reached!
% 10.07/2.32 % (293062)------------------------------
% 10.07/2.32 % (293062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.07/2.32 % (293062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.07/2.32 % (293062)CaDiCaL version: 2.1.3
% 10.07/2.32 % (293062)Termination reason: Instruction limit
% 10.07/2.32 % (293062)Termination phase: Saturation
% 10.07/2.32 % (293062)Time elapsed: 0.050 s
% 10.07/2.32 % (293062)Peak memory usage: 90 MB
% 10.07/2.32 % (293062)Instructions burned: 145 (million)
% 10.07/2.32 % (293064)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3457054059:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 19.55/3.74 % (293063)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=250225239:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 19.55/3.74 % (293065)lrs+10_64_to=lpo:sil=8000:random_seed=2717370260:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 19.55/3.74 % (293067)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3977276192:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 19.55/3.74 % (293065)Instruction limit reached!
% 19.55/3.74 % (293065)------------------------------
% 19.55/3.74 % (293065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/3.74 % (293065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/3.74 % (293065)CaDiCaL version: 2.1.3
% 19.55/3.74 % (293065)Termination reason: Instruction limit
% 19.55/3.74 % (293065)Termination phase: Saturation
% 19.55/3.74 % (293065)Time elapsed: 0.074 s
% 19.55/3.74 % (293065)Peak memory usage: 89 MB
% 19.55/3.74 % (293065)Instructions burned: 127 (million)
% 19.55/3.74 % (293063)Instruction limit reached!
% 19.55/3.74 % (293063)------------------------------
% 19.55/3.74 % (293063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/3.74 % (293063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/3.74 % (293063)CaDiCaL version: 2.1.3
% 19.55/3.74 % (293063)Termination reason: Instruction limit
% 19.55/3.74 % (293063)Termination phase: Saturation
% 19.55/3.74 % (293063)Time elapsed: 0.105 s
% 19.55/3.74 % (293063)Peak memory usage: 91 MB
% 19.55/3.74 % (293063)Instructions burned: 190 (million)
% 19.55/3.74 % (293064)Instruction limit reached!
% 19.55/3.74 % (293064)------------------------------
% 19.55/3.74 % (293064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/3.74 % (293064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/3.74 % (293064)CaDiCaL version: 2.1.3
% 19.55/3.74 % (293064)Termination reason: Instruction limit
% 19.55/3.74 % (293064)Termination phase: Saturation
% 19.55/3.74 % (293064)Time elapsed: 0.128 s
% 19.55/3.74 % (293064)Peak memory usage: 90 MB
% 19.55/3.74 % (293064)Instructions burned: 219 (million)
% 19.55/3.74 % (293067)Instruction limit reached!
% 19.55/3.74 % (293067)------------------------------
% 19.55/3.74 % (293067)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/3.74 % (293067)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/3.74 % (293067)CaDiCaL version: 2.1.3
% 19.55/3.74 % (293067)Termination reason: Instruction limit
% 19.55/3.74 % (293067)Termination phase: Saturation
% 19.55/3.74 % (293067)Time elapsed: 0.066 s
% 19.55/3.74 % (293067)Peak memory usage: 91 MB
% 19.55/3.74 % (293067)Instructions burned: 195 (million)
% 19.55/3.74 % (293072)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3703269414:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 19.55/3.74 % (293073)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3672293475:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 19.55/3.74 % (293075)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=471189438:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 19.55/3.74 % (293074)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2091397222:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 19.55/3.74 % (293075)Instruction limit reached!
% 19.55/3.74 % (293075)------------------------------
% 19.55/3.74 % (293075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/3.74 % (293075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.55/3.74 % (293075)CaDiCaL version: 2.1.3
% 19.55/3.74 % (293075)Termination reason: Instruction limit
% 19.55/3.74 % (293075)Termination phase: Saturation
% 19.55/3.74 % (293075)Time elapsed: 0.033 s
% 19.55/3.74 % (293075)Peak memory usage: 90 MB
% 19.55/3.74 % (293075)Instructions burned: 109 (million)
% 19.55/3.74 % (293074)Instruction limit reached!
% 19.55/3.74 % (293074)------------------------------
% 19.55/3.74 % (293074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.55/3.74 % (293074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.16 % (293074)CaDiCaL version: 2.1.3
% 23.30/4.16 % (293074)Termination reason: Instruction limit
% 23.30/4.16 % (293074)Termination phase: Saturation
% 23.30/4.16 % (293074)Time elapsed: 0.058 s
% 23.30/4.16 % (293074)Peak memory usage: 89 MB
% 23.30/4.16 % (293074)Instructions burned: 108 (million)
% 23.30/4.16 % (293072)Instruction limit reached!
% 23.30/4.16 % (293072)------------------------------
% 23.30/4.16 % (293072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.16 % (293072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.16 % (293072)CaDiCaL version: 2.1.3
% 23.30/4.16 % (293072)Termination reason: Instruction limit
% 23.30/4.16 % (293072)Termination phase: Saturation
% 23.30/4.16 % (293072)Time elapsed: 0.093 s
% 23.30/4.16 % (293072)Peak memory usage: 90 MB
% 23.30/4.16 % (293072)Instructions burned: 157 (million)
% 23.30/4.16 % (293080)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2945202805:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 23.30/4.16 % (293081)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1120122666:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 23.30/4.16 % (293080)Instruction limit reached!
% 23.30/4.16 % (293080)------------------------------
% 23.30/4.16 % (293080)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.16 % (293080)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.16 % (293080)CaDiCaL version: 2.1.3
% 23.30/4.16 % (293080)Termination reason: Instruction limit
% 23.30/4.16 % (293080)Termination phase: Saturation
% 23.30/4.16 % (293080)Time elapsed: 0.075 s
% 23.30/4.16 % (293080)Peak memory usage: 90 MB
% 23.30/4.16 % (293080)Instructions burned: 245 (million)
% 23.30/4.16 % (293082)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3784781402:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 23.30/4.16 % (293082)Instruction limit reached!
% 23.30/4.16 % (293082)------------------------------
% 23.30/4.16 % (293082)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.16 % (293082)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.16 % (293082)CaDiCaL version: 2.1.3
% 23.30/4.16 % (293082)Termination reason: Instruction limit
% 23.30/4.16 % (293082)Termination phase: Saturation
% 23.30/4.16 % (293082)Time elapsed: 0.090 s
% 23.30/4.16 % (293082)Peak memory usage: 89 MB
% 23.30/4.16 % (293082)Instructions burned: 134 (million)
% 23.30/4.16 % (293085)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1201448263:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 23.30/4.16 % (293087)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1068546303:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 23.30/4.16 % (293085)Instruction limit reached!
% 23.30/4.16 % (293085)------------------------------
% 23.30/4.16 % (293085)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.16 % (293085)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.16 % (293085)CaDiCaL version: 2.1.3
% 23.30/4.16 % (293085)Termination reason: Instruction limit
% 23.30/4.16 % (293085)Termination phase: Saturation
% 23.30/4.16 % (293085)Time elapsed: 0.169 s
% 23.30/4.16 % (293085)Peak memory usage: 96 MB
% 23.30/4.16 % (293085)Instructions burned: 500 (million)
% 23.30/4.16 % (293087)Instruction limit reached!
% 23.30/4.16 % (293087)------------------------------
% 23.30/4.16 % (293087)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.16 % (293087)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.16 % (293087)CaDiCaL version: 2.1.3
% 23.30/4.16 % (293087)Termination reason: Instruction limit
% 23.30/4.16 % (293087)Termination phase: Saturation
% 23.30/4.16 % (293087)Time elapsed: 0.123 s
% 23.30/4.16 % (293087)Peak memory usage: 91 MB
% 23.30/4.16 % (293087)Instructions burned: 191 (million)
% 23.30/4.16 % (293090)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=416521307:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 23.30/4.16 % (293090)Instruction limit reached!
% 23.30/4.16 % (293090)------------------------------
% 23.30/4.16 % (293090)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.16 % (293090)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.16 % (293090)CaDiCaL version: 2.1.3
% 23.30/4.16 % (293090)Termination reason: Instruction limit
% 23.30/4.16 % (293090)Termination phase: Saturation
% 23.30/4.16 % (293090)Time elapsed: 0.090 s
% 23.30/4.16 % (293090)Peak memory usage: 93 MB
% 23.30/4.16 % (293090)Instructions burned: 266 (million)
% 23.30/4.16 % (293091)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3501613088:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 23.30/4.16 % (293093)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=763982082:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 23.30/4.16 % (293091)Instruction limit reached!
% 23.30/4.16 % (293091)------------------------------
% 23.30/4.16 % (293091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.16 % (293091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.16 % (293091)CaDiCaL version: 2.1.3
% 23.30/4.16 % (293091)Termination reason: Instruction limit
% 23.30/4.16 % (293091)Termination phase: Saturation
% 23.30/4.16 % (293091)Time elapsed: 0.097 s
% 23.30/4.16 % (293091)Peak memory usage: 90 MB
% 23.30/4.16 % (293091)Instructions burned: 157 (million)
% 23.30/4.16 % (293096)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2635312019:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 23.30/4.16 % (293096)Instruction limit reached!
% 23.30/4.16 % (293096)------------------------------
% 23.30/4.16 % (293096)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.16 % (293096)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.16 % (293096)CaDiCaL version: 2.1.3
% 23.30/4.16 % (293096)Termination reason: Instruction limit
% 23.30/4.16 % (293096)Termination phase: Saturation
% 23.30/4.16 % (293096)Time elapsed: 0.287 s
% 23.30/4.16 % (293096)Peak memory usage: 92 MB
% 23.30/4.16 % (293096)Instructions burned: 539 (million)
% 23.30/4.16 % (293098)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2499430849:i=180:bd=preordered:av=off_2979 on theBenchmark for (2979ds/180Mi)
% 23.30/4.16 % (293098)Instruction limit reached!
% 23.30/4.16 % (293098)------------------------------
% 23.30/4.16 % (293098)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.16 % (293098)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.16 % (293098)CaDiCaL version: 2.1.3
% 23.30/4.16 % (293098)Termination reason: Instruction limit
% 23.30/4.16 % (293098)Termination phase: Saturation
% 23.30/4.16 % (293098)Time elapsed: 0.103 s
% 23.30/4.16 % (293098)Peak memory usage: 90 MB
% 23.30/4.16 % (293098)Instructions burned: 181 (million)
% 23.30/4.16 % (293100)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2392462567:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2976 on theBenchmark for (2976ds/10307Mi)
% 23.30/4.16 % (293093)Instruction limit reached!
% 23.30/4.16 % (293093)------------------------------
% 23.30/4.16 % (293093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.16 % (293093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.16 % (293093)CaDiCaL version: 2.1.3
% 23.30/4.16 % (293093)Termination reason: Instruction limit
% 23.30/4.16 % (293093)Termination phase: Saturation
% 23.30/4.16 % (293093)Time elapsed: 1.057 s
% 23.30/4.16 % (293093)Peak memory usage: 148 MB
% 23.30/4.16 % (293093)Instructions burned: 3259 (million)
% 23.30/4.16 % (293073)Instruction limit reached!
% 23.30/4.16 % (293073)------------------------------
% 23.30/4.16 % (293073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.16 % (293073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.16 % (293073)CaDiCaL version: 2.1.3
% 23.30/4.16 % (293073)Termination reason: Instruction limit
% 23.30/4.16 % (293073)Termination phase: Saturation
% 23.30/4.16 % (293073)Time elapsed: 2.065 s
% 23.30/4.16 % (293073)Peak memory usage: 152 MB
% 23.30/4.16 % (293073)Instructions burned: 3394 (million)
% 23.30/4.16 % (293102)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=2196264764:i=412:gtgl=4:gtg=exists_all_2973 on theBenchmark for (2973ds/412Mi)
% 23.30/4.16 % (293102)Instruction limit reached!
% 23.30/4.16 % (293102)------------------------------
% 23.30/4.16 % (293102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.16 % (293102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.16 % (293102)CaDiCaL version: 2.1.3
% 23.30/4.16 % (293102)Termination reason: Instruction limit
% 23.30/4.16 % (293102)Termination phase: Saturation
% 23.30/4.16 % (293102)Time elapsed: 0.108 s
% 23.30/4.16 % (293102)Peak memory usage: 91 MB
% 23.30/4.16 % (293102)Instructions burned: 413 (million)
% 23.30/4.16 % (293104)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=3366010325:s2pl=no:i=8478:s2at=4:nm=6_2972 on theBenchmark for (2972ds/8478Mi)
% 23.30/4.16 % (293105)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=3287860826:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2971 on theBenchmark for (2971ds/303Mi)
% 23.30/4.16 % (293050)First to succeed.
% 23.30/4.16 % (293050)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-293043"
% 23.30/4.16 % (293105)Instruction limit reached!
% 23.30/4.16 % (293105)------------------------------
% 23.30/4.16 % (293105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.30/4.16 % (293105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.30/4.16 % (293105)CaDiCaL version: 2.1.3
% 23.30/4.16 % (293105)Termination reason: Instruction limit
% 23.30/4.16 % (293105)Termination phase: Saturation
% 23.30/4.16 % (293105)Time elapsed: 0.082 s
% 23.30/4.16 % (293105)Peak memory usage: 90 MB
% 23.30/4.16 % (293105)Instructions burned: 305 (million)
% 23.30/4.16 % (293108)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=349354721:st=4:i=720:sd=3:fsr=off:ss=axioms_2969 on theBenchmark for (2969ds/720Mi)
% 23.30/4.16 % (293050)Refutation found. Thanks to Tanya!
% 23.30/4.16 % SZS status Unsatisfiable for theBenchmark
% 23.30/4.16 % SZS output start Proof for theBenchmark
% See solution above
% 23.71/4.35 % (293050)------------------------------
% 23.71/4.35 % (293050)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.71/4.35 % (293050)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.71/4.35 % (293050)CaDiCaL version: 2.1.3
% 23.71/4.35 % (293050)Termination reason: Refutation
% 23.71/4.35 % (293050)Time elapsed: 2.827 s
% 23.71/4.35 % (293050)Peak memory usage: 148 MB
% 23.71/4.35 % (293050)Instructions burned: 4635 (million)
% 23.71/4.35 % (293050)------------------------------
% 23.71/4.35 % (293050)------------------------------
% 23.71/4.35 % (293043)Success in time 3.306 s
% 23.71/4.35 % Vampire exiting
%------------------------------------------------------------------------------