%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV853-1 : TPTP v9.3.1. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n014.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:19:39 PM UTC 2026
% Result : Unsatisfiable 13.43s 2.67s
% Output : Refutation 14.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 40
% Syntax : Number of formulae : 133 ( 77 unt; 28 def)
% Number of atoms : 219 ( 74 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 150 ( 64 ~; 86 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 13 ( 2 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 54 ( 54 usr; 41 con; 0-5 aty)
% Number of variables : 128 ( 128 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f545,axiom,
! [X2,X3,X0,X1,X4] :
( X0 = hAPP(X1,c_ATP__Linkup_Osko__Set__XimageE__1__1(X2,X0,X1,X3,X4))
| ~ hBOOL(hAPP(hAPP(c_in(X4),X0),hAPP(c_Set_Oimage(X1,X3,X4),X2))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_imageE_0) ).
fof(f546,plain,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP(hAPP(c_in(X4),X0),hAPP(c_Set_Oimage(X1,X3,X4),X2)))
| hAPP(X1,c_ATP__Linkup_Osko__Set__XimageE__1__1(X2,X0,X1,X3,X4)) = X0 ),
inference(reorient_equations,[],[f545]) ).
fof(f553,axiom,
! [X2,X3,X0,X1,X4] :
( ~ hBOOL(hAPP(hAPP(c_in(X4),X2),hAPP(c_Set_Oimage(X3,X0,X4),X1)))
| hBOOL(hAPP(hAPP(c_in(X0),c_ATP__Linkup_Osko__Set__XimageE__1__1(X1,X2,X3,X0,X4)),X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_imageE_1) ).
fof(f603,axiom,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(X0),X1),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(X0,tc_bool)),X3),X2)))
| hBOOL(hAPP(hAPP(c_in(X0),X1),X3))
| hBOOL(hAPP(hAPP(c_in(X0),X1),X2)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_UnE_0) ).
fof(f616,axiom,
! [X2,X3,X0,X1,X4] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X3))),X4),X1)
| c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(X1),X2),hAPP(c_Com_Ocom_OBODY,X3)),X4),X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_Body__triple__valid__Suc_0) ).
fof(f640,negated_conjecture,
hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),v_x),v_Procs)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_0) ).
fof(f641,negated_conjecture,
~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(v_na),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,v_x)),hAPP(c_Com_Ocom_OBODY,v_x)),hAPP(v_Q,v_x)),t_a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_1) ).
fof(f642,negated_conjecture,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_2) ).
fof(f643,negated_conjecture,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,X0)),hAPP(c_Com_Ocom_OBODY,X0)),hAPP(v_Q,X0)),t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),X0),v_Procs)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_3) ).
fof(f644,negated_conjecture,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),hAPP(v_Q,X1)),t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),X1),v_Procs))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_n(X0)),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_bool)),v_G),hAPP(c_Set_Oimage(c_COMBS(c_COMBS(hAPP(c_COMBB(c_Hoare__Mirabelle_Otriple_Otriple(t_a),tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_fun(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),tc_Com_Opname),v_P),c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a))),v_Q,tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_bool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a)),v_Procs)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f645,negated_conjecture,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),hAPP(v_P,X1)),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X1))),hAPP(v_Q,X1)),t_a)
| ~ hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),X1),v_Procs))
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f681,axiom,
! [X2,X3,X0,X1,X4,X5] : hAPP(c_COMBS(X0,X1,X2,X3,X4),X5) = hAPP(hAPP(X0,X5),hAPP(X1,X5)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_ATP__Linkup_OCOMBS__def_0) ).
fof(f683,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_ATP__Linkup_OCOMBB__def_0) ).
fof(f686,definition,
sF0 = c_in(tc_Com_Opname),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f687,plain,
c_in(tc_Com_Opname) = sF0,
inference(reorient_equations,[],[f686]) ).
fof(f688,definition,
sF1 = hAPP(sF0,v_x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f689,plain,
hAPP(sF0,v_x) = sF1,
inference(reorient_equations,[],[f688]) ).
fof(f690,definition,
sF2 = hAPP(sF1,v_Procs),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f691,plain,
hAPP(sF1,v_Procs) = sF2,
inference(reorient_equations,[],[f690]) ).
fof(f692,plain,
hBOOL(sF2),
inference(definition_folding,[],[f640,f691,f689,f687]) ).
fof(f693,definition,
sF3 = c_Suc(v_na),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f694,plain,
c_Suc(v_na) = sF3,
inference(reorient_equations,[],[f693]) ).
fof(f695,definition,
sF4 = c_Hoare__Mirabelle_Otriple_Otriple(t_a),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f696,plain,
c_Hoare__Mirabelle_Otriple_Otriple(t_a) = sF4,
inference(reorient_equations,[],[f695]) ).
fof(f697,definition,
sF5 = hAPP(v_P,v_x),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f698,plain,
hAPP(v_P,v_x) = sF5,
inference(reorient_equations,[],[f697]) ).
fof(f699,definition,
sF6 = hAPP(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f700,plain,
hAPP(sF4,sF5) = sF6,
inference(reorient_equations,[],[f699]) ).
fof(f701,definition,
sF7 = hAPP(c_Com_Ocom_OBODY,v_x),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f702,plain,
hAPP(c_Com_Ocom_OBODY,v_x) = sF7,
inference(reorient_equations,[],[f701]) ).
fof(f703,definition,
sF8 = hAPP(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f704,plain,
hAPP(sF6,sF7) = sF8,
inference(reorient_equations,[],[f703]) ).
fof(f705,definition,
sF9 = hAPP(v_Q,v_x),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f706,plain,
hAPP(v_Q,v_x) = sF9,
inference(reorient_equations,[],[f705]) ).
fof(f707,definition,
sF10 = hAPP(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f708,plain,
hAPP(sF8,sF9) = sF10,
inference(reorient_equations,[],[f707]) ).
fof(f709,plain,
~ c_Hoare__Mirabelle_Otriple__valid(sF3,sF10,t_a),
inference(definition_folding,[],[f641,f708,f706,f704,f702,f700,f698,f696,f694]) ).
fof(f710,definition,
sF11 = tc_Hoare__Mirabelle_Otriple(t_a),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f711,plain,
tc_Hoare__Mirabelle_Otriple(t_a) = sF11,
inference(reorient_equations,[],[f710]) ).
fof(f712,definition,
sF12 = c_in(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f713,plain,
c_in(sF11) = sF12,
inference(reorient_equations,[],[f712]) ).
fof(f714,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF12,X0),v_G))
| c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a) ),
inference(definition_folding,[],[f642,f713,f711]) ).
fof(f715,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,hAPP(hAPP(hAPP(sF4,hAPP(v_P,X0)),hAPP(c_Com_Ocom_OBODY,X0)),hAPP(v_Q,X0)),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs)) ),
inference(definition_folding,[],[f643,f687,f696]) ).
fof(f716,definition,
sF13 = c_Option_Othe(tc_Com_Ocom),
introduced(definition,[new_symbols(definition,[sF13])],[function_definition]) ).
fof(f717,plain,
c_Option_Othe(tc_Com_Ocom) = sF13,
inference(reorient_equations,[],[f716]) ).
fof(f718,definition,
sF14 = tc_fun(sF11,tc_bool),
introduced(definition,[new_symbols(definition,[sF14])],[function_definition]) ).
fof(f719,plain,
tc_fun(sF11,tc_bool) = sF14,
inference(reorient_equations,[],[f718]) ).
fof(f720,definition,
sF15 = c_Lattices_Oupper__semilattice__class_Osup(sF14),
introduced(definition,[new_symbols(definition,[sF15])],[function_definition]) ).
fof(f721,plain,
c_Lattices_Oupper__semilattice__class_Osup(sF14) = sF15,
inference(reorient_equations,[],[f720]) ).
fof(f722,definition,
sF16 = hAPP(sF15,v_G),
introduced(definition,[new_symbols(definition,[sF16])],[function_definition]) ).
fof(f723,plain,
hAPP(sF15,v_G) = sF16,
inference(reorient_equations,[],[f722]) ).
fof(f724,definition,
sF17 = tc_fun(tc_Com_Ostate,tc_bool),
introduced(definition,[new_symbols(definition,[sF17])],[function_definition]) ).
fof(f725,plain,
tc_fun(tc_Com_Ostate,tc_bool) = sF17,
inference(reorient_equations,[],[f724]) ).
fof(f726,definition,
sF18 = tc_fun(t_a,sF17),
introduced(definition,[new_symbols(definition,[sF18])],[function_definition]) ).
fof(f727,plain,
tc_fun(t_a,sF17) = sF18,
inference(reorient_equations,[],[f726]) ).
fof(f728,definition,
sF19 = tc_fun(sF18,sF11),
introduced(definition,[new_symbols(definition,[sF19])],[function_definition]) ).
fof(f729,plain,
tc_fun(sF18,sF11) = sF19,
inference(reorient_equations,[],[f728]) ).
fof(f730,definition,
sF20 = tc_fun(tc_Com_Ocom,sF19),
introduced(definition,[new_symbols(definition,[sF20])],[function_definition]) ).
fof(f731,plain,
tc_fun(tc_Com_Ocom,sF19) = sF20,
inference(reorient_equations,[],[f730]) ).
fof(f732,definition,
sF21 = c_COMBB(sF4,sF18,sF20,tc_Com_Opname),
introduced(definition,[new_symbols(definition,[sF21])],[function_definition]) ).
fof(f733,plain,
c_COMBB(sF4,sF18,sF20,tc_Com_Opname) = sF21,
inference(reorient_equations,[],[f732]) ).
fof(f734,definition,
sF22 = hAPP(sF21,v_P),
introduced(definition,[new_symbols(definition,[sF22])],[function_definition]) ).
fof(f735,plain,
hAPP(sF21,v_P) = sF22,
inference(reorient_equations,[],[f734]) ).
fof(f736,definition,
sF23 = c_COMBS(sF22,c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,sF19),
introduced(definition,[new_symbols(definition,[sF23])],[function_definition]) ).
fof(f737,plain,
c_COMBS(sF22,c_Com_Ocom_OBODY,tc_Com_Opname,tc_Com_Ocom,sF19) = sF23,
inference(reorient_equations,[],[f736]) ).
fof(f738,definition,
sF24 = c_COMBS(sF23,v_Q,tc_Com_Opname,sF18,sF11),
introduced(definition,[new_symbols(definition,[sF24])],[function_definition]) ).
fof(f739,plain,
c_COMBS(sF23,v_Q,tc_Com_Opname,sF18,sF11) = sF24,
inference(reorient_equations,[],[f738]) ).
fof(f740,definition,
sF25 = c_Set_Oimage(sF24,tc_Com_Opname,sF11),
introduced(definition,[new_symbols(definition,[sF25])],[function_definition]) ).
fof(f741,plain,
c_Set_Oimage(sF24,tc_Com_Opname,sF11) = sF25,
inference(reorient_equations,[],[f740]) ).
fof(f742,definition,
sF26 = hAPP(sF25,v_Procs),
introduced(definition,[new_symbols(definition,[sF26])],[function_definition]) ).
fof(f743,plain,
hAPP(sF25,v_Procs) = sF26,
inference(reorient_equations,[],[f742]) ).
fof(f744,definition,
sF27 = hAPP(sF16,sF26),
introduced(definition,[new_symbols(definition,[sF27])],[function_definition]) ).
fof(f745,plain,
hAPP(sF16,sF26) = sF27,
inference(reorient_equations,[],[f744]) ).
fof(f746,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(X0,hAPP(hAPP(hAPP(sF4,hAPP(v_P,X1)),hAPP(sF13,hAPP(c_Com_Obody,X1))),hAPP(v_Q,X1)),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X1),v_Procs))
| hBOOL(hAPP(hAPP(sF12,v_n(X0)),sF27)) ),
inference(definition_folding,[],[f644,f745,f743,f741,f711,f739,f711,f727,f725,f737,f729,f711,f727,f725,f735,f733,f731,f729,f711,f727,f725,f727,f725,f696,f723,f721,f719,f711,f713,f711,f687,f717,f696]) ).
fof(f747,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(X0,hAPP(hAPP(hAPP(sF4,hAPP(v_P,X1)),hAPP(sF13,hAPP(c_Com_Obody,X1))),hAPP(v_Q,X1)),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X1),v_Procs))
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a) ),
inference(definition_folding,[],[f645,f687,f717,f696]) ).
fof(f831,plain,
! [X0,X1] : hAPP(sF4,hAPP(X0,X1)) = hAPP(hAPP(sF21,X0),X1),
inference(superposition,[],[f683,f733]) ).
fof(f838,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(sF11),X0),hAPP(sF25,X1)))
| hAPP(sF24,c_ATP__Linkup_Osko__Set__XimageE__1__1(X1,X0,sF24,tc_Com_Opname,sF11)) = X0 ),
inference(superposition,[],[f546,f741]) ).
fof(f839,plain,
! [X0,X1] :
( hAPP(sF24,c_ATP__Linkup_Osko__Set__XimageE__1__1(X1,X0,sF24,tc_Com_Opname,sF11)) = X0
| ~ hBOOL(hAPP(hAPP(sF12,X0),hAPP(sF25,X1))) ),
inference(forward_demodulation,[],[f838,f713]) ).
fof(f867,plain,
! [X0] : hAPP(sF4,hAPP(v_P,X0)) = hAPP(sF22,X0),
inference(superposition,[],[f831,f735]) ).
fof(f879,plain,
! [X0] : hAPP(hAPP(sF23,X0),hAPP(v_Q,X0)) = hAPP(sF24,X0),
inference(superposition,[],[f681,f739]) ).
fof(f893,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(sF11),X0),hAPP(hAPP(c_Lattices_Oupper__semilattice__class_Osup(sF14),X1),X2)))
| hBOOL(hAPP(hAPP(c_in(sF11),X0),X1))
| hBOOL(hAPP(hAPP(c_in(sF11),X0),X2)) ),
inference(superposition,[],[f603,f719]) ).
fof(f899,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(sF11),X0),hAPP(hAPP(sF15,X1),X2)))
| hBOOL(hAPP(hAPP(c_in(sF11),X0),X1))
| hBOOL(hAPP(hAPP(c_in(sF11),X0),X2)) ),
inference(forward_demodulation,[],[f893,f721]) ).
fof(f902,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF12,X0),hAPP(hAPP(sF15,X1),X2)))
| hBOOL(hAPP(hAPP(c_in(sF11),X0),X1))
| hBOOL(hAPP(hAPP(c_in(sF11),X0),X2)) ),
inference(forward_demodulation,[],[f899,f713]) ).
fof(f905,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(sF12,X0),X1))
| ~ hBOOL(hAPP(hAPP(sF12,X0),hAPP(hAPP(sF15,X1),X2)))
| hBOOL(hAPP(hAPP(c_in(sF11),X0),X2)) ),
inference(forward_demodulation,[],[f902,f713]) ).
fof(f907,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF12,X0),hAPP(hAPP(sF15,X1),X2)))
| hBOOL(hAPP(hAPP(sF12,X0),X1))
| hBOOL(hAPP(hAPP(sF12,X0),X2)) ),
inference(forward_demodulation,[],[f905,f713]) ).
fof(f909,plain,
! [X0] : hAPP(sF23,X0) = hAPP(hAPP(sF22,X0),hAPP(c_Com_Ocom_OBODY,X0)),
inference(superposition,[],[f681,f737]) ).
fof(f924,plain,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X0,hAPP(hAPP(hAPP(sF4,X1),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,X2))),X3),t_a)
| c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X1),hAPP(c_Com_Ocom_OBODY,X2)),X3),t_a) ),
inference(superposition,[],[f616,f696]) ).
fof(f936,plain,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X0,hAPP(hAPP(hAPP(sF4,X1),hAPP(sF13,hAPP(c_Com_Obody,X2))),X3),t_a)
| c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X1),hAPP(c_Com_Ocom_OBODY,X2)),X3),t_a) ),
inference(forward_demodulation,[],[f924,f717]) ).
fof(f938,plain,
! [X2,X3,X0,X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X0,hAPP(hAPP(hAPP(sF4,X1),hAPP(sF13,hAPP(c_Com_Obody,X2))),X3),t_a)
| c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),hAPP(hAPP(hAPP(sF4,X1),hAPP(c_Com_Ocom_OBODY,X2)),X3),t_a) ),
inference(forward_demodulation,[],[f936,f696]) ).
fof(f940,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF12,X0),hAPP(sF16,X1)))
| hBOOL(hAPP(hAPP(sF12,X0),v_G))
| hBOOL(hAPP(hAPP(sF12,X0),X1)) ),
inference(superposition,[],[f907,f723]) ).
fof(f947,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF12,X0),sF27))
| hBOOL(hAPP(hAPP(sF12,X0),v_G))
| hBOOL(hAPP(hAPP(sF12,X0),sF26)) ),
inference(superposition,[],[f940,f745]) ).
fof(f954,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_in(sF11),X0),hAPP(sF25,X1)))
| hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),c_ATP__Linkup_Osko__Set__XimageE__1__1(X1,X0,sF24,tc_Com_Opname,sF11)),X1)) ),
inference(superposition,[],[f553,f741]) ).
fof(f958,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(sF12,X0),hAPP(sF25,X1)))
| hBOOL(hAPP(hAPP(c_in(tc_Com_Opname),c_ATP__Linkup_Osko__Set__XimageE__1__1(X1,X0,sF24,tc_Com_Opname,sF11)),X1)) ),
inference(forward_demodulation,[],[f954,f713]) ).
fof(f959,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(sF0,c_ATP__Linkup_Osko__Set__XimageE__1__1(X1,X0,sF24,tc_Com_Opname,sF11)),X1))
| ~ hBOOL(hAPP(hAPP(sF12,X0),hAPP(sF25,X1))) ),
inference(forward_demodulation,[],[f958,f687]) ).
fof(f984,plain,
hAPP(sF4,sF5) = hAPP(sF22,v_x),
inference(superposition,[],[f867,f698]) ).
fof(f987,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,hAPP(hAPP(hAPP(sF22,X0),hAPP(c_Com_Ocom_OBODY,X0)),hAPP(v_Q,X0)),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs)) ),
inference(superposition,[],[f715,f867]) ).
fof(f992,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,hAPP(hAPP(sF23,X0),hAPP(v_Q,X0)),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs)) ),
inference(forward_demodulation,[],[f987,f909]) ).
fof(f993,plain,
sF6 = hAPP(sF22,v_x),
inference(forward_demodulation,[],[f984,f700]) ).
fof(f994,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(v_na,hAPP(sF24,X0),t_a) ),
inference(forward_demodulation,[],[f992,f879]) ).
fof(f1017,plain,
hAPP(sF23,v_x) = hAPP(hAPP(sF22,v_x),sF7),
inference(superposition,[],[f909,f702]) ).
fof(f1025,plain,
hAPP(sF6,sF7) = hAPP(sF23,v_x),
inference(forward_demodulation,[],[f1017,f993]) ).
fof(f1027,plain,
sF8 = hAPP(sF23,v_x),
inference(forward_demodulation,[],[f1025,f704]) ).
fof(f1029,plain,
hAPP(sF24,v_x) = hAPP(sF8,hAPP(v_Q,v_x)),
inference(superposition,[],[f879,f1027]) ).
fof(f1030,plain,
hAPP(sF8,sF9) = hAPP(sF24,v_x),
inference(forward_demodulation,[],[f1029,f706]) ).
fof(f1031,plain,
sF10 = hAPP(sF24,v_x),
inference(forward_demodulation,[],[f1030,f708]) ).
fof(f1056,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF12,X0),hAPP(sF25,v_Procs)))
| c_Hoare__Mirabelle_Otriple__valid(v_na,hAPP(sF24,c_ATP__Linkup_Osko__Set__XimageE__1__1(v_Procs,X0,sF24,tc_Com_Opname,sF11)),t_a) ),
inference(resolution,[],[f959,f994]) ).
fof(f1058,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,hAPP(sF24,c_ATP__Linkup_Osko__Set__XimageE__1__1(v_Procs,X0,sF24,tc_Com_Opname,sF11)),t_a)
| ~ hBOOL(hAPP(hAPP(sF12,X0),sF26)) ),
inference(forward_demodulation,[],[f1056,f743]) ).
fof(f1059,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a)
| ~ hBOOL(hAPP(hAPP(sF12,X0),sF26))
| ~ hBOOL(hAPP(hAPP(sF12,X0),hAPP(sF25,v_Procs))) ),
inference(superposition,[],[f1058,f839]) ).
fof(f1060,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF12,X0),sF26))
| c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a)
| ~ hBOOL(hAPP(hAPP(sF12,X0),sF26)) ),
inference(forward_demodulation,[],[f1059,f743]) ).
fof(f1061,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF12,X0),sF26))
| c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a) ),
inference(duplicate_literal_removal,[],[f1060]) ).
fof(f1127,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),hAPP(hAPP(hAPP(sF4,hAPP(v_P,X1)),hAPP(c_Com_Ocom_OBODY,X1)),hAPP(v_Q,X1)),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X1),v_Procs))
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a) ),
inference(resolution,[],[f938,f747]) ).
fof(f1128,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),hAPP(hAPP(hAPP(sF4,hAPP(v_P,X1)),hAPP(c_Com_Ocom_OBODY,X1)),hAPP(v_Q,X1)),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X1),v_Procs))
| hBOOL(hAPP(hAPP(sF12,v_n(X0)),sF27)) ),
inference(resolution,[],[f938,f746]) ).
fof(f1138,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),hAPP(hAPP(hAPP(sF22,X1),hAPP(c_Com_Ocom_OBODY,X1)),hAPP(v_Q,X1)),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X1),v_Procs))
| hBOOL(hAPP(hAPP(sF12,v_n(X0)),sF27)) ),
inference(forward_demodulation,[],[f1128,f867]) ).
fof(f1139,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),hAPP(hAPP(hAPP(sF22,X1),hAPP(c_Com_Ocom_OBODY,X1)),hAPP(v_Q,X1)),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X1),v_Procs))
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a) ),
inference(forward_demodulation,[],[f1127,f867]) ).
fof(f1140,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),hAPP(hAPP(sF23,X1),hAPP(v_Q,X1)),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X1),v_Procs))
| hBOOL(hAPP(hAPP(sF12,v_n(X0)),sF27)) ),
inference(forward_demodulation,[],[f1138,f909]) ).
fof(f1141,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),hAPP(hAPP(sF23,X1),hAPP(v_Q,X1)),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X1),v_Procs))
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a) ),
inference(forward_demodulation,[],[f1139,f909]) ).
fof(f1142,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),hAPP(sF24,X1),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X1),v_Procs))
| hBOOL(hAPP(hAPP(sF12,v_n(X0)),sF27)) ),
inference(forward_demodulation,[],[f1140,f879]) ).
fof(f1143,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),hAPP(sF24,X1),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X1),v_Procs))
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a) ),
inference(forward_demodulation,[],[f1141,f879]) ).
fof(f1148,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),sF10,t_a)
| ~ hBOOL(hAPP(hAPP(sF0,v_x),v_Procs))
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a) ),
inference(superposition,[],[f1143,f1031]) ).
fof(f1150,plain,
! [X0] :
( ~ hBOOL(hAPP(sF1,v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),sF10,t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a) ),
inference(forward_demodulation,[],[f1148,f689]) ).
fof(f1151,plain,
! [X0] :
( ~ hBOOL(sF2)
| c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),sF10,t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a) ),
inference(forward_demodulation,[],[f1150,f691]) ).
fof(f1152,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a)
| c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),sF10,t_a) ),
inference(forward_subsumption_resolution,[],[f1151,f692]) ).
fof(f1157,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),sF10,t_a)
| ~ hBOOL(hAPP(hAPP(sF0,v_x),v_Procs))
| hBOOL(hAPP(hAPP(sF12,v_n(X0)),sF27)) ),
inference(superposition,[],[f1142,f1031]) ).
fof(f1159,plain,
! [X0] :
( ~ hBOOL(hAPP(sF1,v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),sF10,t_a)
| hBOOL(hAPP(hAPP(sF12,v_n(X0)),sF27)) ),
inference(forward_demodulation,[],[f1157,f689]) ).
fof(f1160,plain,
! [X0] :
( ~ hBOOL(sF2)
| c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),sF10,t_a)
| hBOOL(hAPP(hAPP(sF12,v_n(X0)),sF27)) ),
inference(forward_demodulation,[],[f1159,f691]) ).
fof(f1161,plain,
! [X0] :
( hBOOL(hAPP(hAPP(sF12,v_n(X0)),sF27))
| c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),sF10,t_a) ),
inference(forward_subsumption_resolution,[],[f1160,f692]) ).
fof(f1162,plain,
! [X0] :
( hBOOL(hAPP(hAPP(sF12,v_n(X0)),sF26))
| hBOOL(hAPP(hAPP(sF12,v_n(X0)),v_G))
| c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),sF10,t_a) ),
inference(resolution,[],[f1161,f947]) ).
fof(f1213,plain,
! [X0] :
( hBOOL(hAPP(hAPP(sF12,v_n(X0)),v_G))
| c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),sF10,t_a)
| c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(X0),t_a) ),
inference(resolution,[],[f1162,f1061]) ).
fof(f1215,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(X0),t_a)
| c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),sF10,t_a) ),
inference(forward_subsumption_resolution,[],[f1213,f714]) ).
fof(f1218,plain,
( c_Hoare__Mirabelle_Otriple__valid(c_Suc(v_na),sF10,t_a)
| c_Hoare__Mirabelle_Otriple__valid(c_Suc(v_na),sF10,t_a) ),
inference(resolution,[],[f1215,f1152]) ).
fof(f1219,plain,
c_Hoare__Mirabelle_Otriple__valid(c_Suc(v_na),sF10,t_a),
inference(duplicate_literal_removal,[],[f1218]) ).
fof(f1220,plain,
c_Hoare__Mirabelle_Otriple__valid(sF3,sF10,t_a),
inference(forward_demodulation,[],[f1219,f694]) ).
fof(f1223,plain,
$false,
inference(forward_subsumption_resolution,[],[f1220,f709]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV853-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.18 % Computer : n014.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.19 % CPULimit : 300
% 0.08/0.19 % WCLimit : 300
% 0.08/0.19 % DateTime : Mon Sep 28 12:43:52 UTC 2026
% 0.08/0.19 % CPUTime :
% 0.08/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.08/0.22 Running first-order theorem proving
% 0.08/0.22 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
% 10.89/2.22 % (1754653)Input is clausal, will run a generic CNF schedule.
% 10.89/2.22 % (1754659)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4268954824:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 10.89/2.22 % (1754663)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3299256679:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 10.89/2.22 % (1754661)lrs+10_1_sil=8000:sp=occurrence:random_seed=3544281279:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 10.89/2.22 % (1754662)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3753488099:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 10.89/2.22 % (1754658)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=2032277737:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 10.89/2.22 % (1754660)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=601989629:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 10.89/2.22 % (1754664)dis-21_1_sil=8000:lcm=predicate:random_seed=2557970519: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)
% 10.89/2.22 % (1754661)Instruction limit reached!
% 10.89/2.22 % (1754661)------------------------------
% 10.89/2.22 % (1754661)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.22 % (1754661)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.22 % (1754661)CaDiCaL version: 2.1.3
% 10.89/2.22 % (1754661)Termination reason: Instruction limit
% 10.89/2.22 % (1754661)Termination phase: Saturation
% 10.89/2.22 % (1754661)Time elapsed: 0.062 s
% 10.89/2.22 % (1754661)Peak memory usage: 89 MB
% 10.89/2.22 % (1754661)Instructions burned: 108 (million)
% 10.89/2.22 % (1754662)Instruction limit reached!
% 10.89/2.22 % (1754662)------------------------------
% 10.89/2.22 % (1754662)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.22 % (1754662)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.22 % (1754662)CaDiCaL version: 2.1.3
% 10.89/2.22 % (1754662)Termination reason: Instruction limit
% 10.89/2.22 % (1754662)Termination phase: Saturation
% 10.89/2.22 % (1754662)Time elapsed: 0.074 s
% 10.89/2.22 % (1754662)Peak memory usage: 89 MB
% 10.89/2.22 % (1754662)Instructions burned: 115 (million)
% 10.89/2.22 % (1754664)Instruction limit reached!
% 10.89/2.22 % (1754664)------------------------------
% 10.89/2.22 % (1754664)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.22 % (1754664)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.22 % (1754664)CaDiCaL version: 2.1.3
% 10.89/2.22 % (1754664)Termination reason: Instruction limit
% 10.89/2.22 % (1754664)Termination phase: Saturation
% 10.89/2.22 % (1754664)Time elapsed: 0.072 s
% 10.89/2.22 % (1754664)Peak memory usage: 89 MB
% 10.89/2.22 % (1754664)Instructions burned: 118 (million)
% 10.89/2.22 % (1754663)Instruction limit reached!
% 10.89/2.22 % (1754663)------------------------------
% 10.89/2.22 % (1754663)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 10.89/2.22 % (1754663)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 10.89/2.22 % (1754663)CaDiCaL version: 2.1.3
% 10.89/2.22 % (1754663)Termination reason: Instruction limit
% 10.89/2.22 % (1754663)Termination phase: Saturation
% 10.89/2.22 % (1754663)Time elapsed: 0.114 s
% 10.89/2.22 % (1754663)Peak memory usage: 90 MB
% 10.89/2.22 % (1754663)Instructions burned: 180 (million)
% 10.89/2.22 % (1754672)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=3287383326:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 10.89/2.22 % (1754673)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4079477929: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)
% 10.89/2.22 % (1754674)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3128935208:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 10.89/2.22 % (1754675)lrs+10_64_to=lpo:sil=8000:random_seed=4203195566:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 10.89/2.22 % (1754672)Instruction limit reached!
% 13.43/2.67 % (1754672)------------------------------
% 13.43/2.67 % (1754672)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.67 % (1754672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.67 % (1754672)CaDiCaL version: 2.1.3
% 13.43/2.67 % (1754672)Termination reason: Instruction limit
% 13.43/2.67 % (1754672)Termination phase: Saturation
% 13.43/2.67 % (1754672)Time elapsed: 0.088 s
% 13.43/2.67 % (1754672)Peak memory usage: 90 MB
% 13.43/2.67 % (1754672)Instructions burned: 143 (million)
% 13.43/2.67 % (1754675)Instruction limit reached!
% 13.43/2.67 % (1754675)------------------------------
% 13.43/2.67 % (1754675)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.67 % (1754675)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.67 % (1754675)CaDiCaL version: 2.1.3
% 13.43/2.67 % (1754675)Termination reason: Instruction limit
% 13.43/2.67 % (1754675)Termination phase: Saturation
% 13.43/2.67 % (1754675)Time elapsed: 0.072 s
% 13.43/2.67 % (1754675)Peak memory usage: 89 MB
% 13.43/2.67 % (1754675)Instructions burned: 128 (million)
% 13.43/2.67 % (1754673)Instruction limit reached!
% 13.43/2.67 % (1754673)------------------------------
% 13.43/2.67 % (1754673)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.67 % (1754673)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.67 % (1754673)CaDiCaL version: 2.1.3
% 13.43/2.67 % (1754673)Termination reason: Instruction limit
% 13.43/2.67 % (1754673)Termination phase: Saturation
% 13.43/2.67 % (1754673)Time elapsed: 0.104 s
% 13.43/2.67 % (1754673)Peak memory usage: 91 MB
% 13.43/2.67 % (1754673)Instructions burned: 189 (million)
% 13.43/2.67 % (1754674)Instruction limit reached!
% 13.43/2.67 % (1754674)------------------------------
% 13.43/2.67 % (1754674)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.67 % (1754674)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.67 % (1754674)CaDiCaL version: 2.1.3
% 13.43/2.67 % (1754674)Termination reason: Instruction limit
% 13.43/2.67 % (1754674)Termination phase: Saturation
% 13.43/2.67 % (1754674)Time elapsed: 0.131 s
% 13.43/2.67 % (1754674)Peak memory usage: 91 MB
% 13.43/2.67 % (1754674)Instructions burned: 219 (million)
% 13.43/2.67 % (1754680)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2472599417:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 13.43/2.67 % (1754681)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1444875374:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 13.43/2.67 % (1754682)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1154052909:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 13.43/2.67 % (1754683)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=986287066:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 13.43/2.67 % (1754681)Instruction limit reached!
% 13.43/2.67 % (1754681)------------------------------
% 13.43/2.67 % (1754681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.67 % (1754681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.67 % (1754681)CaDiCaL version: 2.1.3
% 13.43/2.67 % (1754681)Termination reason: Instruction limit
% 13.43/2.67 % (1754681)Termination phase: Saturation
% 13.43/2.67 % (1754681)Time elapsed: 0.087 s
% 13.43/2.67 % (1754681)Peak memory usage: 90 MB
% 13.43/2.67 % (1754681)Instructions burned: 157 (million)
% 13.43/2.67 % (1754680)Instruction limit reached!
% 13.43/2.67 % (1754680)------------------------------
% 13.43/2.67 % (1754680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.67 % (1754680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.67 % (1754680)CaDiCaL version: 2.1.3
% 13.43/2.67 % (1754680)Termination reason: Instruction limit
% 13.43/2.67 % (1754680)Termination phase: Saturation
% 13.43/2.67 % (1754680)Time elapsed: 0.129 s
% 13.43/2.67 % (1754680)Peak memory usage: 90 MB
% 13.43/2.67 % (1754680)Instructions burned: 194 (million)
% 13.43/2.67 % (1754683)Instruction limit reached!
% 13.43/2.67 % (1754683)------------------------------
% 13.43/2.67 % (1754683)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.67 % (1754683)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.67 % (1754683)CaDiCaL version: 2.1.3
% 13.43/2.67 % (1754683)Termination reason: Instruction limit
% 13.43/2.67 % (1754683)Termination phase: Saturation
% 13.43/2.67 % (1754683)Time elapsed: 0.058 s
% 13.43/2.67 % (1754683)Peak memory usage: 89 MB
% 13.43/2.67 % (1754683)Instructions burned: 107 (million)
% 13.43/2.67 % (1754688)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3872341000:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 13.43/2.67 % (1754689)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1523991216:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 13.43/2.67 % (1754690)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3057172614:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 13.43/2.67 % (1754688)Instruction limit reached!
% 13.43/2.67 % (1754688)------------------------------
% 13.43/2.67 % (1754688)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.67 % (1754688)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.67 % (1754688)CaDiCaL version: 2.1.3
% 13.43/2.67 % (1754688)Termination reason: Instruction limit
% 13.43/2.67 % (1754688)Termination phase: Saturation
% 13.43/2.67 % (1754688)Time elapsed: 0.070 s
% 13.43/2.67 % (1754688)Peak memory usage: 90 MB
% 13.43/2.67 % (1754688)Instructions burned: 108 (million)
% 13.43/2.67 % (1754689)Instruction limit reached!
% 13.43/2.67 % (1754689)------------------------------
% 13.43/2.67 % (1754689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.67 % (1754689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.67 % (1754689)CaDiCaL version: 2.1.3
% 13.43/2.67 % (1754689)Termination reason: Instruction limit
% 13.43/2.67 % (1754689)Termination phase: Saturation
% 13.43/2.67 % (1754689)Time elapsed: 0.141 s
% 13.43/2.67 % (1754689)Peak memory usage: 90 MB
% 13.43/2.67 % (1754689)Instructions burned: 243 (million)
% 13.43/2.67 % (1754694)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1580860532:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 13.43/2.67 % (1754694)Instruction limit reached!
% 13.43/2.67 % (1754694)------------------------------
% 13.43/2.67 % (1754694)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.67 % (1754694)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.67 % (1754694)CaDiCaL version: 2.1.3
% 13.43/2.67 % (1754694)Termination reason: Instruction limit
% 13.43/2.67 % (1754694)Termination phase: Saturation
% 13.43/2.67 % (1754694)Time elapsed: 0.084 s
% 13.43/2.67 % (1754694)Peak memory usage: 90 MB
% 13.43/2.67 % (1754694)Instructions burned: 134 (million)
% 13.43/2.67 % (1754695)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=121240596:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 13.43/2.67 % (1754697)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=200484185:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 13.43/2.67 % (1754697)Instruction limit reached!
% 13.43/2.67 % (1754697)------------------------------
% 13.43/2.67 % (1754697)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.67 % (1754697)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.67 % (1754697)CaDiCaL version: 2.1.3
% 13.43/2.67 % (1754697)Termination reason: Instruction limit
% 13.43/2.67 % (1754697)Termination phase: Saturation
% 13.43/2.67 % (1754697)Time elapsed: 0.126 s
% 13.43/2.67 % (1754697)Peak memory usage: 91 MB
% 13.43/2.67 % (1754697)Instructions burned: 192 (million)
% 13.43/2.67 % (1754695)Instruction limit reached!
% 13.43/2.67 % (1754695)------------------------------
% 13.43/2.67 % (1754695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.67 % (1754695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.67 % (1754695)CaDiCaL version: 2.1.3
% 13.43/2.67 % (1754695)Termination reason: Instruction limit
% 13.43/2.67 % (1754695)Termination phase: Saturation
% 13.43/2.67 % (1754695)Time elapsed: 0.321 s
% 13.43/2.67 % (1754695)Peak memory usage: 95 MB
% 13.43/2.67 % (1754695)Instructions burned: 500 (million)
% 13.43/2.67 % (1754700)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=47531187:i=264:kws=precedence:fsr=off_2986 on theBenchmark for (2986ds/264Mi)
% 13.43/2.67 % (1754701)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=1070824740:cond=on:i=156:bs=on:gtg=exists_all:er=known_2985 on theBenchmark for (2985ds/156Mi)
% 13.43/2.67 % (1754700)Instruction limit reached!
% 13.43/2.67 % (1754700)------------------------------
% 13.43/2.67 % (1754700)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.67 % (1754700)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.67 % (1754700)CaDiCaL version: 2.1.3
% 13.43/2.67 % (1754700)Termination reason: Instruction limit
% 13.43/2.67 % (1754700)Termination phase: Saturation
% 13.43/2.67 % (1754700)Time elapsed: 0.142 s
% 13.43/2.67 % (1754700)Peak memory usage: 91 MB
% 13.43/2.67 % (1754700)Instructions burned: 265 (million)
% 13.43/2.67 % (1754701)Instruction limit reached!
% 13.43/2.67 % (1754701)------------------------------
% 13.43/2.67 % (1754701)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.43/2.67 % (1754701)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.43/2.67 % (1754701)CaDiCaL version: 2.1.3
% 13.43/2.67 % (1754701)Termination reason: Instruction limit
% 13.43/2.67 % (1754701)Termination phase: Saturation
% 13.43/2.67 % (1754701)Time elapsed: 0.083 s
% 13.43/2.67 % (1754701)Peak memory usage: 89 MB
% 13.43/2.67 % (1754701)Instructions burned: 157 (million)
% 13.43/2.67 % (1754704)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=1310758831:i=3256:kws=precedence:bd=preordered:av=off_2983 on theBenchmark for (2983ds/3256Mi)
% 13.43/2.67 % (1754690)First to succeed.
% 13.43/2.67 % (1754690)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1754653"
% 13.43/2.67 % (1754705)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2654937513:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 13.43/2.67 % (1754690)Refutation found. Thanks to Tanya!
% 13.43/2.67 % SZS status Unsatisfiable for theBenchmark
% 13.43/2.67 % SZS output start Proof for theBenchmark
% See solution above
% 14.69/2.84 % (1754690)------------------------------
% 14.69/2.84 % (1754690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.69/2.84 % (1754690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.69/2.84 % (1754690)CaDiCaL version: 2.1.3
% 14.69/2.84 % (1754690)Termination reason: Refutation
% 14.69/2.84 % (1754690)Time elapsed: 0.916 s
% 14.69/2.84 % (1754690)Peak memory usage: 137 MB
% 14.69/2.84 % (1754690)Instructions burned: 1453 (million)
% 14.69/2.84 % (1754690)------------------------------
% 14.69/2.84 % (1754690)------------------------------
% 14.69/2.84 % (1754653)Success in time 2.015 s
% 14.69/2.84 % Vampire exiting
%------------------------------------------------------------------------------