%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SCT043-1 : 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 : n019.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 12:36:48 PM UTC 2026
% Result : Unsatisfiable 71.27s 10.99s
% Output : Refutation 72.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 32
% Number of leaves : 33
% Syntax : Number of formulae : 118 ( 81 unt; 15 def)
% Number of atoms : 162 ( 115 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 63 ( 19 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 38 ( 38 usr; 23 con; 0-4 aty)
% Number of variables : 228 ( 228 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f44,axiom,
! [X0,X1] : hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X1),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__right_0) ).
fof(f45,axiom,
! [X0,X1] : hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool))),X1) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Un__empty__left_0) ).
fof(f189,axiom,
! [X0,X1] : c_Collect(hAPP(c_COMBB(c_Not,tc_bool,tc_bool,X0),X1),X0) = hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),c_Collect(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__neg__eq_0) ).
fof(f190,axiom,
! [X2,X3,X0,X1] : c_Set_Ovimage(X0,c_Collect(X1,X2),X3,X2) = c_Collect(hAPP(c_COMBB(X1,X2,tc_bool,X3),X0),X3),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__Collect__eq_0) ).
fof(f326,axiom,
! [X0,X1] : c_Collect(X0,X1) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Collect__def_0) ).
fof(f371,axiom,
! [X2,X3,X0,X1] : c_Set_Ovimage(X0,X1,X2,X3) = c_Collect(hAPP(c_COMBC(hAPP(c_COMBB(c_in(X3),X3,tc_fun(tc_fun(X3,tc_bool),tc_bool),X2),X0),X2,tc_fun(X3,tc_bool),tc_bool),X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__def_0) ).
fof(f391,axiom,
! [X2,X3,X0,X1] : hAPP(c_COMBK(X0,X1,X2),X3) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBK__def_0) ).
fof(f440,axiom,
! [X2,X0,X1] : X0 != c_List_Olist_OCons(X1,X0,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_not__Cons__self_0) ).
fof(f441,plain,
! [X2,X0,X1] : c_List_Olist_OCons(X1,X0,X2) != X0,
inference(reorient_equations,[],[f440]) ).
fof(f457,axiom,
! [X0,X1] : hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1)) = X1,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_double__complement_0) ).
fof(f542,axiom,
! [X2,X0,X1] : c_List_Olist_ONil(X0) != c_List_Olist_OCons(X1,X2,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_list_Osimps_I2_J_0) ).
fof(f551,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(f552,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,[],[f551]) ).
fof(f606,axiom,
! [X2,X0,X1] : c_Set_Ovimage(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1) = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_vimage__empty_0) ).
fof(f607,plain,
! [X2,X0,X1] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Set_Ovimage(X0,c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X2,X1),
inference(reorient_equations,[],[f606]) ).
fof(f608,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(f627,axiom,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2)))
| hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplI_0) ).
fof(f628,axiom,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),X2))
| ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ComplD_0) ).
fof(f721,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(c_COMBB(X0,X1,X2,X3),X4),X5) = hAPP(X0,hAPP(X4,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_COMBB__def_0) ).
fof(f722,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(f725,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))),hAPP(c_COMBC(hAPP(c_COMBC(hAPP(c_COMBB(c_Arrow__Order__Mirabelle_Obelow,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool),tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),tc_Arrow__Order__Mirabelle_Oindi),v_P____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool))),v_c____),tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,tc_fun(tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),tc_bool)),v_b____)),c_Arrow__Order__Mirabelle_OProf)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f788,plain,
! [X2,X3,X0,X1] : c_Collect(hAPP(c_COMBB(X1,X2,tc_bool,X3),X0),X3) = c_Collect(hAPP(c_COMBC(hAPP(c_COMBB(c_in(X2),X2,tc_fun(tc_fun(X2,tc_bool),tc_bool),X3),X0),X3,tc_fun(X2,tc_bool),tc_bool),c_Collect(X1,X2)),X3),
inference(definition_unfolding,[],[f190,f371]) ).
fof(f851,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Collect(hAPP(c_COMBC(hAPP(c_COMBB(c_in(X1),X1,tc_fun(tc_fun(X1,tc_bool),tc_bool),X2),c_COMBK(X0,X1,X2)),X2,tc_fun(X1,tc_bool),tc_bool),X3),X2)
| hBOOL(hAPP(hAPP(c_in(X1),X0),X3)) ),
inference(definition_unfolding,[],[f552,f371]) ).
fof(f869,plain,
! [X2,X0,X1] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = c_Collect(hAPP(c_COMBC(hAPP(c_COMBB(c_in(X1),X1,tc_fun(tc_fun(X1,tc_bool),tc_bool),X2),X0),X2,tc_fun(X1,tc_bool),tc_bool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),X2),
inference(definition_unfolding,[],[f607,f371]) ).
fof(f997,definition,
! [X3,X1] : sF58(X3,X1) = hAPP(c_in(X3),X1),
introduced(definition,[new_symbols(definition,[sF58])],[function_definition]) ).
fof(f998,plain,
! [X3,X1] : hAPP(c_in(X3),X1) = sF58(X3,X1),
inference(reorient_equations,[],[f997]) ).
fof(f1027,definition,
sF72 = tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt),
introduced(definition,[new_symbols(definition,[sF72])],[function_definition]) ).
fof(f1028,plain,
tc_prod(tc_Arrow__Order__Mirabelle_Oalt,tc_Arrow__Order__Mirabelle_Oalt) = sF72,
inference(reorient_equations,[],[f1027]) ).
fof(f1029,definition,
sF73 = tc_fun(sF72,tc_bool),
introduced(definition,[new_symbols(definition,[sF73])],[function_definition]) ).
fof(f1030,plain,
tc_fun(sF72,tc_bool) = sF73,
inference(reorient_equations,[],[f1029]) ).
fof(f1031,definition,
sF74 = tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF73),
introduced(definition,[new_symbols(definition,[sF74])],[function_definition]) ).
fof(f1032,plain,
tc_fun(tc_Arrow__Order__Mirabelle_Oindi,sF73) = sF74,
inference(reorient_equations,[],[f1031]) ).
fof(f1033,definition,
sF75 = c_in(sF74),
introduced(definition,[new_symbols(definition,[sF75])],[function_definition]) ).
fof(f1034,plain,
c_in(sF74) = sF75,
inference(reorient_equations,[],[f1033]) ).
fof(f1035,definition,
sF76 = tc_fun(tc_Arrow__Order__Mirabelle_Oalt,sF73),
introduced(definition,[new_symbols(definition,[sF76])],[function_definition]) ).
fof(f1036,plain,
tc_fun(tc_Arrow__Order__Mirabelle_Oalt,sF73) = sF76,
inference(reorient_equations,[],[f1035]) ).
fof(f1037,definition,
sF77 = tc_fun(tc_Arrow__Order__Mirabelle_Oalt,sF76),
introduced(definition,[new_symbols(definition,[sF77])],[function_definition]) ).
fof(f1038,plain,
tc_fun(tc_Arrow__Order__Mirabelle_Oalt,sF76) = sF77,
inference(reorient_equations,[],[f1037]) ).
fof(f1039,definition,
sF78 = c_COMBB(c_Arrow__Order__Mirabelle_Obelow,sF73,sF77,tc_Arrow__Order__Mirabelle_Oindi),
introduced(definition,[new_symbols(definition,[sF78])],[function_definition]) ).
fof(f1040,plain,
c_COMBB(c_Arrow__Order__Mirabelle_Obelow,sF73,sF77,tc_Arrow__Order__Mirabelle_Oindi) = sF78,
inference(reorient_equations,[],[f1039]) ).
fof(f1041,definition,
sF79 = hAPP(sF78,v_P____),
introduced(definition,[new_symbols(definition,[sF79])],[function_definition]) ).
fof(f1042,plain,
hAPP(sF78,v_P____) = sF79,
inference(reorient_equations,[],[f1041]) ).
fof(f1043,definition,
sF80 = c_COMBC(sF79,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,sF76),
introduced(definition,[new_symbols(definition,[sF80])],[function_definition]) ).
fof(f1044,plain,
c_COMBC(sF79,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,sF76) = sF80,
inference(reorient_equations,[],[f1043]) ).
fof(f1045,definition,
sF81 = hAPP(sF80,v_c____),
introduced(definition,[new_symbols(definition,[sF81])],[function_definition]) ).
fof(f1046,plain,
hAPP(sF80,v_c____) = sF81,
inference(reorient_equations,[],[f1045]) ).
fof(f1047,definition,
sF82 = c_COMBC(sF81,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,sF73),
introduced(definition,[new_symbols(definition,[sF82])],[function_definition]) ).
fof(f1048,plain,
c_COMBC(sF81,tc_Arrow__Order__Mirabelle_Oindi,tc_Arrow__Order__Mirabelle_Oalt,sF73) = sF82,
inference(reorient_equations,[],[f1047]) ).
fof(f1049,definition,
sF83 = hAPP(sF82,v_b____),
introduced(definition,[new_symbols(definition,[sF83])],[function_definition]) ).
fof(f1050,plain,
hAPP(sF82,v_b____) = sF83,
inference(reorient_equations,[],[f1049]) ).
fof(f1051,definition,
sF84 = hAPP(sF75,sF83),
introduced(definition,[new_symbols(definition,[sF84])],[function_definition]) ).
fof(f1052,plain,
hAPP(sF75,sF83) = sF84,
inference(reorient_equations,[],[f1051]) ).
fof(f1053,definition,
sF85 = hAPP(sF84,c_Arrow__Order__Mirabelle_OProf),
introduced(definition,[new_symbols(definition,[sF85])],[function_definition]) ).
fof(f1054,plain,
hAPP(sF84,c_Arrow__Order__Mirabelle_OProf) = sF85,
inference(reorient_equations,[],[f1053]) ).
fof(f1055,plain,
~ hBOOL(sF85),
inference(definition_folding,[],[f725,f1054,f1052,f1050,f1048,f1030,f1028,f1046,f1044,f1036,f1030,f1028,f1042,f1040,f1038,f1036,f1030,f1028,f1030,f1028,f1034,f1032,f1030,f1028]) ).
fof(f1071,plain,
! [X0,X1] : hAPP(c_COMBC(c_in(X0),X0,tc_fun(X0,tc_bool),tc_bool),X1) = X1,
inference(forward_demodulation,[],[f608,f326]) ).
fof(f1072,plain,
! [X0] : hAPP(c_COMBC(sF75,sF74,tc_fun(sF74,tc_bool),tc_bool),X0) = X0,
inference(superposition,[],[f1071,f1034]) ).
fof(f1073,plain,
! [X0] : hAPP(c_COMBC(c_in(sF72),sF72,sF73,tc_bool),X0) = X0,
inference(superposition,[],[f1071,f1030]) ).
fof(f1074,plain,
! [X2,X0,X1] : hAPP(X0,X2) = hAPP(hAPP(c_in(X1),X2),X0),
inference(superposition,[],[f722,f1071]) ).
fof(f1076,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF75,X0),X1))
| ~ hBOOL(hAPP(hAPP(sF75,X0),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(sF74,tc_bool)),X1))) ),
inference(superposition,[],[f628,f1034]) ).
fof(f1081,plain,
! [X0,X1] : hAPP(X0,X1) = hAPP(hAPP(sF75,X1),X0),
inference(superposition,[],[f722,f1072]) ).
fof(f1083,plain,
! [X0] : hAPP(X0,sF83) = hAPP(sF84,X0),
inference(superposition,[],[f1081,f1052]) ).
fof(f1142,plain,
! [X2,X0,X1] : hAPP(X0,X2) = hAPP(sF58(X1,X2),X0),
inference(backward_demodulation,[],[f1074,f998]) ).
fof(f1148,plain,
! [X2,X0,X1] : c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = hAPP(c_COMBC(hAPP(c_COMBB(c_in(X1),X1,tc_fun(tc_fun(X1,tc_bool),tc_bool),X2),X0),X2,tc_fun(X1,tc_bool),tc_bool),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),
inference(forward_demodulation,[],[f869,f326]) ).
fof(f1149,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(X1,X0))
| ~ hBOOL(hAPP(hAPP(sF75,X0),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(sF74,tc_bool)),X1))) ),
inference(forward_demodulation,[],[f1076,f1081]) ).
fof(f1150,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(sF74,tc_bool)),X1),X0))
| ~ hBOOL(hAPP(X1,X0)) ),
inference(forward_demodulation,[],[f1149,f1081]) ).
fof(f1154,plain,
! [X0,X1] : hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1) = c_Collect(hAPP(c_COMBB(c_Not,tc_bool,tc_bool,X0),X1),X0),
inference(forward_demodulation,[],[f189,f326]) ).
fof(f1155,plain,
! [X0,X1] : hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1) = hAPP(c_COMBB(c_Not,tc_bool,tc_bool,X0),X1),
inference(forward_demodulation,[],[f1154,f326]) ).
fof(f1157,plain,
! [X2,X0,X1] : hAPP(c_Not,hAPP(X1,X2)) = hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X1),X2),
inference(superposition,[],[f721,f1155]) ).
fof(f1265,plain,
! [X2,X3,X0,X1] : hAPP(hAPP(hAPP(c_COMBB(c_in(X1),X1,tc_fun(tc_fun(X1,tc_bool),tc_bool),X0),X2),X3),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))) = hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X3),
inference(superposition,[],[f722,f1148]) ).
fof(f1266,plain,
! [X2,X3,X0,X1] : hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X3) = hAPP(hAPP(c_in(X1),hAPP(X2,X3)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),
inference(forward_demodulation,[],[f1265,f721]) ).
fof(f1267,plain,
! [X2,X3,X0,X1] : hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X3) = hAPP(sF58(X1,hAPP(X2,X3)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool))),
inference(forward_demodulation,[],[f1266,f998]) ).
fof(f1268,plain,
! [X2,X3,X0,X1] : hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X3) = hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),hAPP(X2,X3)),
inference(forward_demodulation,[],[f1267,f1142]) ).
fof(f1288,plain,
! [X2,X0,X1] : hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X0) = hAPP(c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)),X0),
inference(superposition,[],[f1268,f45]) ).
fof(f1327,plain,
! [X0,X1] : hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X0) = hAPP(c_Orderings_Obot__class_Obot(sF73),X0),
inference(superposition,[],[f1288,f1030]) ).
fof(f1359,plain,
! [X2,X3,X0] : hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X3) = hAPP(c_Orderings_Obot__class_Obot(sF73),hAPP(X2,X3)),
inference(backward_demodulation,[],[f1268,f1327]) ).
fof(f1368,plain,
! [X2,X3] : hAPP(c_Orderings_Obot__class_Obot(sF73),hAPP(X2,X3)) = hAPP(c_Orderings_Obot__class_Obot(sF73),X3),
inference(forward_demodulation,[],[f1359,f1327]) ).
fof(f1397,plain,
! [X0] : hAPP(c_Orderings_Obot__class_Obot(sF73),X0) = hAPP(c_Orderings_Obot__class_Obot(sF73),hAPP(X0,sF83)),
inference(superposition,[],[f1368,f1083]) ).
fof(f1401,plain,
! [X0] : hAPP(c_Orderings_Obot__class_Obot(sF73),X0) = hAPP(c_Orderings_Obot__class_Obot(sF73),sF83),
inference(forward_demodulation,[],[f1397,f1368]) ).
fof(f1419,plain,
! [X0] : hAPP(c_Orderings_Obot__class_Obot(sF73),X0) = hAPP(sF84,c_Orderings_Obot__class_Obot(sF73)),
inference(forward_demodulation,[],[f1401,f1083]) ).
fof(f1423,plain,
! [X0,X1] : hAPP(c_Orderings_Obot__class_Obot(tc_fun(X1,tc_bool)),X0) = hAPP(sF84,c_Orderings_Obot__class_Obot(sF73)),
inference(backward_demodulation,[],[f1327,f1419]) ).
fof(f1472,plain,
! [X2,X3,X0,X1] : c_Collect(hAPP(c_COMBB(X1,X2,tc_bool,X3),X0),X3) = hAPP(c_COMBC(hAPP(c_COMBB(c_in(X2),X2,tc_fun(tc_fun(X2,tc_bool),tc_bool),X3),X0),X3,tc_fun(X2,tc_bool),tc_bool),c_Collect(X1,X2)),
inference(forward_demodulation,[],[f788,f326]) ).
fof(f1473,plain,
! [X2,X3,X0,X1] : c_Collect(hAPP(c_COMBB(X1,X2,tc_bool,X3),X0),X3) = hAPP(c_COMBC(hAPP(c_COMBB(c_in(X2),X2,tc_fun(tc_fun(X2,tc_bool),tc_bool),X3),X0),X3,tc_fun(X2,tc_bool),tc_bool),X1),
inference(forward_demodulation,[],[f1472,f326]) ).
fof(f1474,plain,
! [X2,X3,X0,X1] : hAPP(c_COMBB(X1,X2,tc_bool,X3),X0) = hAPP(c_COMBC(hAPP(c_COMBB(c_in(X2),X2,tc_fun(tc_fun(X2,tc_bool),tc_bool),X3),X0),X3,tc_fun(X2,tc_bool),tc_bool),X1),
inference(forward_demodulation,[],[f1473,f326]) ).
fof(f1526,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = hAPP(c_COMBC(hAPP(c_COMBB(c_in(X1),X1,tc_fun(tc_fun(X1,tc_bool),tc_bool),X2),c_COMBK(X0,X1,X2)),X2,tc_fun(X1,tc_bool),tc_bool),X3)
| hBOOL(hAPP(hAPP(c_in(X1),X0),X3)) ),
inference(forward_demodulation,[],[f851,f326]) ).
fof(f1527,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = hAPP(c_COMBB(X3,X1,tc_bool,X2),c_COMBK(X0,X1,X2))
| hBOOL(hAPP(hAPP(c_in(X1),X0),X3)) ),
inference(forward_demodulation,[],[f1526,f1474]) ).
fof(f1528,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(sF58(X1,X0),X3))
| c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = hAPP(c_COMBB(X3,X1,tc_bool,X2),c_COMBK(X0,X1,X2)) ),
inference(forward_demodulation,[],[f1527,f998]) ).
fof(f1529,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X2,tc_bool)) = hAPP(c_COMBB(X3,X1,tc_bool,X2),c_COMBK(X0,X1,X2))
| hBOOL(hAPP(X3,X0)) ),
inference(forward_demodulation,[],[f1528,f1142]) ).
fof(f1532,plain,
! [X2,X3,X0,X1,X4] :
( hAPP(X1,hAPP(c_COMBK(X3,X2,X0),X4)) = hAPP(c_Orderings_Obot__class_Obot(tc_fun(X0,tc_bool)),X4)
| hBOOL(hAPP(X1,X3)) ),
inference(superposition,[],[f721,f1529]) ).
fof(f1533,plain,
! [X2,X3,X0,X1,X4] :
( hAPP(sF84,c_Orderings_Obot__class_Obot(sF73)) = hAPP(X1,hAPP(c_COMBK(X3,X2,X0),X4))
| hBOOL(hAPP(X1,X3)) ),
inference(forward_demodulation,[],[f1532,f1423]) ).
fof(f1559,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(sF58(X0,X1),hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2)))
| hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
inference(forward_demodulation,[],[f627,f998]) ).
fof(f1560,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2),X1))
| hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
inference(forward_demodulation,[],[f1559,f1142]) ).
fof(f1561,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(sF58(X0,X1),X2))
| hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2),X1)) ),
inference(forward_demodulation,[],[f1560,f998]) ).
fof(f1562,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X0,tc_bool)),X2),X1))
| hBOOL(hAPP(X2,X1)) ),
inference(forward_demodulation,[],[f1561,f1142]) ).
fof(f1583,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(c_Not,hAPP(X1,X0)))
| ~ hBOOL(hAPP(X1,X0)) ),
inference(backward_demodulation,[],[f1150,f1157]) ).
fof(f1584,plain,
! [X2,X1] :
( hBOOL(hAPP(c_Not,hAPP(X2,X1)))
| hBOOL(hAPP(X2,X1)) ),
inference(backward_demodulation,[],[f1562,f1157]) ).
fof(f1587,plain,
! [X2,X0,X1] : hAPP(X0,X2) = hAPP(c_Not,hAPP(hAPP(c_HOL_Ouminus__class_Ouminus(tc_fun(X1,tc_bool)),X0),X2)),
inference(superposition,[],[f1157,f457]) ).
fof(f1594,plain,
! [X2,X0] : hAPP(X0,X2) = hAPP(c_Not,hAPP(c_Not,hAPP(X0,X2))),
inference(forward_demodulation,[],[f1587,f1157]) ).
fof(f1681,plain,
! [X0] :
( hBOOL(hAPP(c_Not,X0))
| hBOOL(X0) ),
inference(superposition,[],[f1584,f1073]) ).
fof(f2278,plain,
! [X0] : hAPP(c_Not,hAPP(c_Not,X0)) = X0,
inference(superposition,[],[f1594,f44]) ).
fof(f2342,plain,
! [X3,X1] :
( hBOOL(hAPP(X1,X3))
| hAPP(X1,X3) = hAPP(sF84,c_Orderings_Obot__class_Obot(sF73)) ),
inference(forward_demodulation,[],[f1533,f391]) ).
fof(f2417,plain,
( hBOOL(sF85)
| sF85 = hAPP(sF84,c_Orderings_Obot__class_Obot(sF73)) ),
inference(superposition,[],[f2342,f1054]) ).
fof(f2419,plain,
sF85 = hAPP(sF84,c_Orderings_Obot__class_Obot(sF73)),
inference(forward_subsumption_resolution,[],[f2417,f1055]) ).
fof(f2426,plain,
! [X3,X1] :
( hBOOL(hAPP(X1,X3))
| hAPP(X1,X3) = sF85 ),
inference(backward_demodulation,[],[f2342,f2419]) ).
fof(f2432,plain,
! [X0,X1] :
( sF85 = hAPP(c_Not,hAPP(X0,X1))
| ~ hBOOL(hAPP(X0,X1)) ),
inference(resolution,[],[f2426,f1583]) ).
fof(f2453,plain,
! [X0] :
( hBOOL(X0)
| sF85 = X0 ),
inference(superposition,[],[f2426,f45]) ).
fof(f2546,plain,
! [X0] :
( ~ hBOOL(X0)
| sF85 = hAPP(c_Not,X0) ),
inference(superposition,[],[f2432,f45]) ).
fof(f2605,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(X0,X1))
| hAPP(X0,X1) = hAPP(c_Not,sF85) ),
inference(superposition,[],[f2278,f2432]) ).
fof(f2661,plain,
! [X0,X1] :
( hAPP(X0,X1) = sF85
| hAPP(X0,X1) = hAPP(c_Not,sF85) ),
inference(resolution,[],[f2605,f2453]) ).
fof(f2756,plain,
! [X0] :
( sF85 = X0
| hAPP(c_Not,sF85) = X0 ),
inference(superposition,[],[f2661,f45]) ).
fof(f3015,plain,
! [X0,X1] :
( hAPP(c_Not,sF85) = X0
| hAPP(c_Not,X0) = X1
| X0 = X1 ),
inference(superposition,[],[f2756,f2756]) ).
fof(f3429,plain,
! [X0,X1] :
( hBOOL(X0)
| hBOOL(sF85)
| hAPP(c_Not,X0) = X1
| X0 = X1 ),
inference(superposition,[],[f1681,f3015]) ).
fof(f3436,plain,
! [X0,X1] :
( hBOOL(X0)
| hAPP(c_Not,X0) = X1
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f3429,f1055]) ).
fof(f3440,plain,
! [X0,X1] :
( sF85 = hAPP(c_Not,X0)
| X0 = X1
| hAPP(c_Not,X0) = X1 ),
inference(resolution,[],[f3436,f2546]) ).
fof(f3445,plain,
! [X0,X1] :
( sF85 = X0
| hAPP(c_Not,X0) = X1
| X0 = X1 ),
inference(superposition,[],[f3440,f2278]) ).
fof(f3469,plain,
! [X0,X1] :
( ~ hBOOL(X0)
| hAPP(c_Not,X0) = X1
| X0 = X1 ),
inference(superposition,[],[f1055,f3445]) ).
fof(f3473,plain,
! [X0,X1] :
( hAPP(c_Not,X0) = X1
| X0 = X1 ),
inference(forward_subsumption_resolution,[],[f3469,f3436]) ).
fof(f3474,plain,
$false,
inference(unit_resulting_resolution,[],[f3473,f542,f441]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SCT043-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n019.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 23:34:04 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 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
% 13.18/2.95 % (3530220)Input is clausal, will run a generic CNF schedule.
% 13.18/2.95 % (3530307)dis-21_1_sil=8000:lcm=predicate:random_seed=180090114: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)
% 13.18/2.95 % (3530306)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2291916954:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 13.18/2.95 % (3530305)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=464316415:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 13.18/2.95 % (3530304)lrs+10_1_sil=8000:sp=occurrence:random_seed=2209570047:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 13.18/2.95 % (3530301)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=3443973966:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 13.18/2.95 % (3530303)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=317561124:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 13.18/2.95 % (3530302)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=382721673:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 13.18/2.95 % (3530306)Instruction limit reached!
% 13.18/2.95 % (3530306)------------------------------
% 13.18/2.95 % (3530306)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/2.95 % (3530306)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/2.95 % (3530306)CaDiCaL version: 2.1.3
% 13.18/2.95 % (3530306)Termination reason: Instruction limit
% 13.18/2.95 % (3530306)Termination phase: Saturation
% 13.18/2.95 % (3530306)Time elapsed: 0.082 s
% 13.18/2.95 % (3530306)Peak memory usage: 90 MB
% 13.18/2.95 % (3530306)Instructions burned: 180 (million)
% 13.18/2.95 % (3530307)Instruction limit reached!
% 13.18/2.95 % (3530307)------------------------------
% 13.18/2.95 % (3530307)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/2.95 % (3530307)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/2.95 % (3530307)CaDiCaL version: 2.1.3
% 13.18/2.95 % (3530307)Termination reason: Instruction limit
% 13.18/2.95 % (3530307)Termination phase: Saturation
% 13.18/2.95 % (3530307)Time elapsed: 0.112 s
% 13.18/2.95 % (3530307)Peak memory usage: 89 MB
% 13.18/2.95 % (3530307)Instructions burned: 117 (million)
% 13.18/2.95 % (3530304)Instruction limit reached!
% 13.18/2.95 % (3530304)------------------------------
% 13.18/2.95 % (3530304)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/2.95 % (3530304)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/2.95 % (3530304)CaDiCaL version: 2.1.3
% 13.18/2.95 % (3530304)Termination reason: Instruction limit
% 13.18/2.95 % (3530304)Termination phase: Saturation
% 13.18/2.95 % (3530304)Time elapsed: 0.102 s
% 13.18/2.95 % (3530304)Peak memory usage: 89 MB
% 13.18/2.95 % (3530304)Instructions burned: 107 (million)
% 13.18/2.95 % (3530305)Instruction limit reached!
% 13.18/2.95 % (3530305)------------------------------
% 13.18/2.95 % (3530305)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/2.95 % (3530305)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/2.95 % (3530305)CaDiCaL version: 2.1.3
% 13.18/2.95 % (3530305)Termination reason: Instruction limit
% 13.18/2.95 % (3530305)Termination phase: Saturation
% 13.18/2.95 % (3530305)Time elapsed: 0.119 s
% 13.18/2.95 % (3530305)Peak memory usage: 89 MB
% 13.18/2.95 % (3530305)Instructions burned: 115 (million)
% 13.18/2.95 % (3530347)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3535522947:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2996 on theBenchmark for (2996ds/189Mi)
% 13.18/2.95 % (3530344)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=2209148282:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 13.18/2.95 % (3530347)Instruction limit reached!
% 13.18/2.95 % (3530347)------------------------------
% 13.18/2.95 % (3530347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.18/2.95 % (3530347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.18/2.95 % (3530347)CaDiCaL version: 2.1.3
% 33.81/5.79 % (3530347)Termination reason: Instruction limit
% 33.81/5.79 % (3530347)Termination phase: Saturation
% 33.81/5.79 % (3530347)Time elapsed: 0.056 s
% 33.81/5.79 % (3530347)Peak memory usage: 90 MB
% 33.81/5.79 % (3530347)Instructions burned: 191 (million)
% 33.81/5.79 % (3530348)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=347402627:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 33.81/5.79 % (3530352)lrs+10_64_to=lpo:sil=8000:random_seed=355887221:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 33.81/5.79 % (3530344)Instruction limit reached!
% 33.81/5.79 % (3530344)------------------------------
% 33.81/5.79 % (3530344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.81/5.79 % (3530344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.81/5.79 % (3530344)CaDiCaL version: 2.1.3
% 33.81/5.79 % (3530344)Termination reason: Instruction limit
% 33.81/5.79 % (3530344)Termination phase: Saturation
% 33.81/5.79 % (3530344)Time elapsed: 0.139 s
% 33.81/5.79 % (3530344)Peak memory usage: 89 MB
% 33.81/5.79 % (3530344)Instructions burned: 144 (million)
% 33.81/5.79 % (3530352)Instruction limit reached!
% 33.81/5.79 % (3530352)------------------------------
% 33.81/5.79 % (3530352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.81/5.79 % (3530352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.81/5.79 % (3530352)CaDiCaL version: 2.1.3
% 33.81/5.79 % (3530352)Termination reason: Instruction limit
% 33.81/5.79 % (3530352)Termination phase: Saturation
% 33.81/5.79 % (3530352)Time elapsed: 0.129 s
% 33.81/5.79 % (3530352)Peak memory usage: 90 MB
% 33.81/5.79 % (3530352)Instructions burned: 126 (million)
% 33.81/5.79 % (3530348)Instruction limit reached!
% 33.81/5.79 % (3530348)------------------------------
% 33.81/5.79 % (3530348)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.81/5.79 % (3530348)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.81/5.79 % (3530348)CaDiCaL version: 2.1.3
% 33.81/5.79 % (3530348)Termination reason: Instruction limit
% 33.81/5.79 % (3530348)Termination phase: Saturation
% 33.81/5.79 % (3530348)Time elapsed: 0.196 s
% 33.81/5.79 % (3530348)Peak memory usage: 90 MB
% 33.81/5.79 % (3530348)Instructions burned: 220 (million)
% 33.81/5.79 % (3530362)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3397697478:avsq=on:i=194:fgj=on:bd=preordered_2994 on theBenchmark for (2994ds/194Mi)
% 33.81/5.79 % (3530362)Instruction limit reached!
% 33.81/5.79 % (3530362)------------------------------
% 33.81/5.79 % (3530362)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.81/5.79 % (3530362)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.81/5.79 % (3530362)CaDiCaL version: 2.1.3
% 33.81/5.79 % (3530362)Termination reason: Instruction limit
% 33.81/5.79 % (3530362)Termination phase: Saturation
% 33.81/5.79 % (3530362)Time elapsed: 0.106 s
% 33.81/5.79 % (3530362)Peak memory usage: 90 MB
% 33.81/5.79 % (3530362)Instructions burned: 194 (million)
% 33.81/5.79 % (3530365)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3223533474:i=157:gtg=all_2993 on theBenchmark for (2993ds/157Mi)
% 33.81/5.79 % (3530365)Instruction limit reached!
% 33.81/5.79 % (3530365)------------------------------
% 33.81/5.79 % (3530365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.81/5.79 % (3530365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.81/5.79 % (3530365)CaDiCaL version: 2.1.3
% 33.81/5.79 % (3530365)Termination reason: Instruction limit
% 33.81/5.79 % (3530365)Termination phase: Saturation
% 33.81/5.79 % (3530365)Time elapsed: 0.067 s
% 33.81/5.79 % (3530365)Peak memory usage: 90 MB
% 33.81/5.79 % (3530365)Instructions burned: 157 (million)
% 33.81/5.79 % (3530368)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2658584780:i=3394:sd=4:ss=included:sgt=64_2992 on theBenchmark for (2992ds/3394Mi)
% 33.81/5.79 % (3530370)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=1141993255:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 33.81/5.79 % (3530370)Instruction limit reached!
% 33.81/5.79 % (3530370)------------------------------
% 33.81/5.79 % (3530370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.81/5.79 % (3530370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.81/5.79 % (3530370)CaDiCaL version: 2.1.3
% 62.02/9.69 % (3530370)Termination reason: Instruction limit
% 62.02/9.69 % (3530370)Termination phase: Saturation
% 62.02/9.69 % (3530370)Time elapsed: 0.096 s
% 62.02/9.69 % (3530370)Peak memory usage: 89 MB
% 62.02/9.69 % (3530370)Instructions burned: 107 (million)
% 62.02/9.69 % (3530371)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1206504463:i=107_2991 on theBenchmark for (2991ds/107Mi)
% 62.02/9.69 % (3530377)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2543867698:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2990 on theBenchmark for (2990ds/242Mi)
% 62.02/9.69 % (3530371)Instruction limit reached!
% 62.02/9.69 % (3530371)------------------------------
% 62.02/9.69 % (3530371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.02/9.69 % (3530371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.02/9.69 % (3530371)CaDiCaL version: 2.1.3
% 62.02/9.69 % (3530371)Termination reason: Instruction limit
% 62.02/9.69 % (3530371)Termination phase: Saturation
% 62.02/9.69 % (3530371)Time elapsed: 0.104 s
% 62.02/9.69 % (3530371)Peak memory usage: 89 MB
% 62.02/9.69 % (3530371)Instructions burned: 108 (million)
% 62.02/9.69 % (3530377)Instruction limit reached!
% 62.02/9.69 % (3530377)------------------------------
% 62.02/9.69 % (3530377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.02/9.69 % (3530377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.02/9.69 % (3530377)CaDiCaL version: 2.1.3
% 62.02/9.69 % (3530377)Termination reason: Instruction limit
% 62.02/9.69 % (3530377)Termination phase: Saturation
% 62.02/9.69 % (3530377)Time elapsed: 0.135 s
% 62.02/9.69 % (3530377)Peak memory usage: 90 MB
% 62.02/9.69 % (3530377)Instructions burned: 244 (million)
% 62.02/9.69 % (3530382)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1793442072:cond=fast:i=5208:av=off_2988 on theBenchmark for (2988ds/5208Mi)
% 62.02/9.69 % (3530386)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2424212172:i=499:bd=all_2986 on theBenchmark for (2986ds/499Mi)
% 62.02/9.69 % (3530385)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3221656043:i=134:sd=2:doe=on:ss=axioms:sgt=14_2987 on theBenchmark for (2987ds/134Mi)
% 62.02/9.69 % (3530385)Instruction limit reached!
% 62.02/9.69 % (3530385)------------------------------
% 62.02/9.69 % (3530385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.02/9.69 % (3530385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.02/9.69 % (3530385)CaDiCaL version: 2.1.3
% 62.02/9.69 % (3530385)Termination reason: Instruction limit
% 62.02/9.69 % (3530385)Termination phase: Saturation
% 62.02/9.69 % (3530385)Time elapsed: 0.129 s
% 62.02/9.69 % (3530385)Peak memory usage: 89 MB
% 62.02/9.69 % (3530385)Instructions burned: 135 (million)
% 62.02/9.69 % (3530386)Instruction limit reached!
% 62.02/9.69 % (3530386)------------------------------
% 62.02/9.69 % (3530386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.02/9.69 % (3530386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.02/9.69 % (3530386)CaDiCaL version: 2.1.3
% 62.02/9.69 % (3530386)Termination reason: Instruction limit
% 62.02/9.69 % (3530386)Termination phase: Saturation
% 62.02/9.69 % (3530386)Time elapsed: 0.218 s
% 62.02/9.69 % (3530386)Peak memory usage: 94 MB
% 62.02/9.69 % (3530386)Instructions burned: 500 (million)
% 62.02/9.69 % (3530395)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3347492971:i=264:kws=precedence:fsr=off_2983 on theBenchmark for (2983ds/264Mi)
% 62.02/9.69 % (3530393)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1667722277:i=191:fgj=on:bd=all_2983 on theBenchmark for (2983ds/191Mi)
% 62.02/9.69 % (3530395)Instruction limit reached!
% 62.02/9.69 % (3530395)------------------------------
% 62.02/9.69 % (3530395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 62.02/9.69 % (3530395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 62.02/9.69 % (3530395)CaDiCaL version: 2.1.3
% 62.02/9.69 % (3530395)Termination reason: Instruction limit
% 62.02/9.69 % (3530395)Termination phase: Saturation
% 62.02/9.69 % (3530395)Time elapsed: 0.137 s
% 62.02/9.69 % (3530395)Peak memory usage: 91 MB
% 62.02/9.69 % (3530395)Instructions burned: 264 (million)
% 62.02/9.69 % (3530393)Instruction limit reached!
% 62.02/9.69 % (3530393)------------------------------
% 71.27/10.99 % (3530393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.27/10.99 % (3530393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.27/10.99 % (3530393)CaDiCaL version: 2.1.3
% 71.27/10.99 % (3530393)Termination reason: Instruction limit
% 71.27/10.99 % (3530393)Termination phase: Saturation
% 71.27/10.99 % (3530393)Time elapsed: 0.200 s
% 71.27/10.99 % (3530393)Peak memory usage: 91 MB
% 71.27/10.99 % (3530393)Instructions burned: 193 (million)
% 71.27/10.99 % (3530402)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=641093806:cond=on:i=156:bs=on:gtg=exists_all:er=known_2979 on theBenchmark for (2979ds/156Mi)
% 71.27/10.99 % (3530402)Instruction limit reached!
% 71.27/10.99 % (3530402)------------------------------
% 71.27/10.99 % (3530402)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.27/10.99 % (3530402)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.27/10.99 % (3530402)CaDiCaL version: 2.1.3
% 71.27/10.99 % (3530402)Termination reason: Instruction limit
% 71.27/10.99 % (3530402)Termination phase: Saturation
% 71.27/10.99 % (3530402)Time elapsed: 0.087 s
% 71.27/10.99 % (3530402)Peak memory usage: 89 MB
% 71.27/10.99 % (3530402)Instructions burned: 156 (million)
% 71.27/10.99 % (3530403)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=2571823741:i=3256:kws=precedence:bd=preordered:av=off_2979 on theBenchmark for (2979ds/3256Mi)
% 71.27/10.99 % (3530407)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=4042010919:i=537:av=off:ss=included_2976 on theBenchmark for (2976ds/537Mi)
% 71.27/10.99 % (3530407)Instruction limit reached!
% 71.27/10.99 % (3530407)------------------------------
% 71.27/10.99 % (3530407)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.27/10.99 % (3530407)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.27/10.99 % (3530407)CaDiCaL version: 2.1.3
% 71.27/10.99 % (3530407)Termination reason: Instruction limit
% 71.27/10.99 % (3530407)Termination phase: Saturation
% 71.27/10.99 % (3530407)Time elapsed: 0.268 s
% 71.27/10.99 % (3530407)Peak memory usage: 92 MB
% 71.27/10.99 % (3530407)Instructions burned: 538 (million)
% 71.27/10.99 % (3530412)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=1478071067:i=180:bd=preordered:av=off_2971 on theBenchmark for (2971ds/180Mi)
% 71.27/10.99 % (3530412)Instruction limit reached!
% 71.27/10.99 % (3530412)------------------------------
% 71.27/10.99 % (3530412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.27/10.99 % (3530412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.27/10.99 % (3530412)CaDiCaL version: 2.1.3
% 71.27/10.99 % (3530412)Termination reason: Instruction limit
% 71.27/10.99 % (3530412)Termination phase: Saturation
% 71.27/10.99 % (3530412)Time elapsed: 0.086 s
% 71.27/10.99 % (3530412)Peak memory usage: 90 MB
% 71.27/10.99 % (3530412)Instructions burned: 180 (million)
% 71.27/10.99 % (3530414)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=3654900724:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2968 on theBenchmark for (2968ds/10307Mi)
% 71.27/10.99 % (3530368)Instruction limit reached!
% 71.27/10.99 % (3530368)------------------------------
% 71.27/10.99 % (3530368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.27/10.99 % (3530368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.27/10.99 % (3530368)CaDiCaL version: 2.1.3
% 71.27/10.99 % (3530368)Termination reason: Instruction limit
% 71.27/10.99 % (3530368)Termination phase: Saturation
% 71.27/10.99 % (3530368)Time elapsed: 3.295 s
% 71.27/10.99 % (3530368)Peak memory usage: 152 MB
% 71.27/10.99 % (3530368)Instructions burned: 3395 (million)
% 71.27/10.99 % (3530422)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=3171328014:i=412:gtgl=4:gtg=exists_all_2956 on theBenchmark for (2956ds/412Mi)
% 71.27/10.99 % (3530422)Instruction limit reached!
% 71.27/10.99 % (3530422)------------------------------
% 71.27/10.99 % (3530422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.27/10.99 % (3530422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.27/10.99 % (3530422)CaDiCaL version: 2.1.3
% 71.27/10.99 % (3530422)Termination reason: Instruction limit
% 71.27/10.99 % (3530422)Termination phase: Saturation
% 71.27/10.99 % (3530422)Time elapsed: 0.320 s
% 71.27/10.99 % (3530422)Peak memory usage: 91 MB
% 71.27/10.99 % (3530422)Instructions burned: 412 (million)
% 71.27/10.99 % (3530424)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=3534234301:s2pl=no:i=8478:s2at=4:nm=6_2950 on theBenchmark for (2950ds/8478Mi)
% 71.27/10.99 % (3530403)Instruction limit reached!
% 71.27/10.99 % (3530403)------------------------------
% 71.27/10.99 % (3530403)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.27/10.99 % (3530403)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.27/10.99 % (3530403)CaDiCaL version: 2.1.3
% 71.27/10.99 % (3530403)Termination reason: Instruction limit
% 71.27/10.99 % (3530403)Termination phase: Saturation
% 71.27/10.99 % (3530403)Time elapsed: 3.161 s
% 71.27/10.99 % (3530403)Peak memory usage: 145 MB
% 71.27/10.99 % (3530403)Instructions burned: 3256 (million)
% 71.27/10.99 % (3530426)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=2504374092:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2944 on theBenchmark for (2944ds/303Mi)
% 71.27/10.99 % (3530426)Instruction limit reached!
% 71.27/10.99 % (3530426)------------------------------
% 71.27/10.99 % (3530426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.27/10.99 % (3530426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.27/10.99 % (3530426)CaDiCaL version: 2.1.3
% 71.27/10.99 % (3530426)Termination reason: Instruction limit
% 71.27/10.99 % (3530426)Termination phase: Saturation
% 71.27/10.99 % (3530426)Time elapsed: 0.280 s
% 71.27/10.99 % (3530426)Peak memory usage: 92 MB
% 71.27/10.99 % (3530426)Instructions burned: 303 (million)
% 71.27/10.99 % (3530428)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=3324812063:st=4:i=720:sd=3:fsr=off:ss=axioms_2938 on theBenchmark for (2938ds/720Mi)
% 71.27/10.99 % (3530382)Instruction limit reached!
% 71.27/10.99 % (3530382)------------------------------
% 71.27/10.99 % (3530382)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.27/10.99 % (3530382)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.27/10.99 % (3530382)CaDiCaL version: 2.1.3
% 71.27/10.99 % (3530382)Termination reason: Instruction limit
% 71.27/10.99 % (3530382)Termination phase: Saturation
% 71.27/10.99 % (3530382)Time elapsed: 5.052 s
% 71.27/10.99 % (3530382)Peak memory usage: 155 MB
% 71.27/10.99 % (3530382)Instructions burned: 5208 (million)
% 71.27/10.99 % (3530430)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=3439302658:i=598:bs=on:bd=preordered:av=off:ss=axioms_2935 on theBenchmark for (2935ds/598Mi)
% 71.27/10.99 % (3530428)Instruction limit reached!
% 71.27/10.99 % (3530428)------------------------------
% 71.27/10.99 % (3530428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.27/10.99 % (3530428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.27/10.99 % (3530428)CaDiCaL version: 2.1.3
% 71.27/10.99 % (3530428)Termination reason: Instruction limit
% 71.27/10.99 % (3530428)Termination phase: Saturation
% 71.27/10.99 % (3530428)Time elapsed: 0.618 s
% 71.27/10.99 % (3530428)Peak memory usage: 94 MB
% 71.27/10.99 % (3530428)Instructions burned: 721 (million)
% 71.27/10.99 % (3530434)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=4011661060:i=2989:sd=3:ss=axioms:sgt=60_2929 on theBenchmark for (2929ds/2989Mi)
% 71.27/10.99 % (3530430)Instruction limit reached!
% 71.27/10.99 % (3530430)------------------------------
% 71.27/10.99 % (3530430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.27/10.99 % (3530430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.27/10.99 % (3530430)CaDiCaL version: 2.1.3
% 71.27/10.99 % (3530430)Termination reason: Instruction limit
% 71.27/10.99 % (3530430)Termination phase: Saturation
% 71.27/10.99 % (3530430)Time elapsed: 0.614 s
% 71.27/10.99 % (3530430)Peak memory usage: 94 MB
% 71.27/10.99 % (3530430)Instructions burned: 599 (million)
% 71.27/10.99 % (3530436)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=928613302:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2925 on theBenchmark for (2925ds/1997Mi)
% 71.27/10.99 % (3530414)Instruction limit reached!
% 71.27/10.99 % (3530414)------------------------------
% 71.27/10.99 % (3530414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 71.27/10.99 % (3530414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 71.27/10.99 % (3530414)CaDiCaL version: 2.1.3
% 71.27/10.99 % (3530414)Termination reason: Instruction limit
% 71.27/10.99 % (3530414)Termination phase: Saturation
% 71.27/10.99 % (3530414)Time elapsed: 5.428 s
% 71.27/10.99 % (3530414)Peak memory usage: 166 MB
% 71.27/10.99 % (3530414)Instructions burned: 10308 (million)
% 71.27/10.99 % (3530438)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=365209664:i=2088:bd=preordered:av=off_2911 on theBenchmark for (2911ds/2088Mi)
% 71.27/10.99 % (3530436)First to succeed.
% 71.27/10.99 % (3530436)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3530220"
% 71.27/10.99 % (3530436)Refutation found. Thanks to Tanya!
% 71.27/10.99 % SZS status Unsatisfiable for theBenchmark
% 71.27/10.99 % SZS output start Proof for theBenchmark
% See solution above
% 72.12/11.20 % (3530436)------------------------------
% 72.12/11.20 % (3530436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 72.12/11.20 % (3530436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 72.12/11.20 % (3530436)CaDiCaL version: 2.1.3
% 72.12/11.20 % (3530436)Termination reason: Refutation
% 72.12/11.20 % (3530436)Time elapsed: 1.951 s
% 72.12/11.20 % (3530436)Peak memory usage: 140 MB
% 72.12/11.20 % (3530436)Instructions burned: 1927 (million)
% 72.12/11.20 % (3530436)------------------------------
% 72.12/11.20 % (3530436)------------------------------
% 72.12/11.20 % (3530220)Success in time 10.116 s
% 72.12/11.20 % Vampire exiting
%------------------------------------------------------------------------------