%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWV852-1 : 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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 01:19:39 PM UTC 2026
% Result : Unsatisfiable 11.89s 2.62s
% Output : Refutation 14.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 44
% Syntax : Number of formulae : 167 ( 84 unt; 30 def)
% Number of atoms : 323 ( 78 equ)
% Maximal formula atoms : 5 ( 1 avg)
% Number of connectives : 270 ( 114 ~; 156 |; 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 : 57 ( 57 usr; 44 con; 0-5 aty)
% Number of variables : 142 ( 142 !; 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(f609,axiom,
! [X2,X0,X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(c_Suc(X0),X1,X2)
| c_Hoare__Mirabelle_Otriple__valid(X0,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_triple__valid__Suc_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(c_Suc(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,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_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))
| ~ c_Hoare__Mirabelle_Otriple__valid(X0,v_n(X0),t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_4) ).
fof(f645,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))
| hBOOL(hAPP(hAPP(c_in(tc_Hoare__Mirabelle_Otriple(t_a)),v_xa),v_G)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_5) ).
fof(f646,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))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cls_conjecture_6) ).
fof(f682,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(f684,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(f687,definition,
sF0 = c_in(tc_Com_Opname),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f688,plain,
c_in(tc_Com_Opname) = sF0,
inference(reorient_equations,[],[f687]) ).
fof(f689,definition,
sF1 = hAPP(sF0,v_x),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f690,plain,
hAPP(sF0,v_x) = sF1,
inference(reorient_equations,[],[f689]) ).
fof(f691,definition,
sF2 = hAPP(sF1,v_Procs),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f692,plain,
hAPP(sF1,v_Procs) = sF2,
inference(reorient_equations,[],[f691]) ).
fof(f693,plain,
hBOOL(sF2),
inference(definition_folding,[],[f640,f692,f690,f688]) ).
fof(f694,definition,
sF3 = c_Suc(v_na),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f695,plain,
c_Suc(v_na) = sF3,
inference(reorient_equations,[],[f694]) ).
fof(f696,definition,
sF4 = c_Hoare__Mirabelle_Otriple_Otriple(t_a),
introduced(definition,[new_symbols(definition,[sF4])],[function_definition]) ).
fof(f697,plain,
c_Hoare__Mirabelle_Otriple_Otriple(t_a) = sF4,
inference(reorient_equations,[],[f696]) ).
fof(f698,definition,
sF5 = hAPP(v_P,v_x),
introduced(definition,[new_symbols(definition,[sF5])],[function_definition]) ).
fof(f699,plain,
hAPP(v_P,v_x) = sF5,
inference(reorient_equations,[],[f698]) ).
fof(f700,definition,
sF6 = hAPP(sF4,sF5),
introduced(definition,[new_symbols(definition,[sF6])],[function_definition]) ).
fof(f701,plain,
hAPP(sF4,sF5) = sF6,
inference(reorient_equations,[],[f700]) ).
fof(f702,definition,
sF7 = hAPP(c_Com_Ocom_OBODY,v_x),
introduced(definition,[new_symbols(definition,[sF7])],[function_definition]) ).
fof(f703,plain,
hAPP(c_Com_Ocom_OBODY,v_x) = sF7,
inference(reorient_equations,[],[f702]) ).
fof(f704,definition,
sF8 = hAPP(sF6,sF7),
introduced(definition,[new_symbols(definition,[sF8])],[function_definition]) ).
fof(f705,plain,
hAPP(sF6,sF7) = sF8,
inference(reorient_equations,[],[f704]) ).
fof(f706,definition,
sF9 = hAPP(v_Q,v_x),
introduced(definition,[new_symbols(definition,[sF9])],[function_definition]) ).
fof(f707,plain,
hAPP(v_Q,v_x) = sF9,
inference(reorient_equations,[],[f706]) ).
fof(f708,definition,
sF10 = hAPP(sF8,sF9),
introduced(definition,[new_symbols(definition,[sF10])],[function_definition]) ).
fof(f709,plain,
hAPP(sF8,sF9) = sF10,
inference(reorient_equations,[],[f708]) ).
fof(f710,plain,
~ c_Hoare__Mirabelle_Otriple__valid(sF3,sF10,t_a),
inference(definition_folding,[],[f641,f709,f707,f705,f703,f701,f699,f697,f695]) ).
fof(f711,definition,
sF11 = tc_Hoare__Mirabelle_Otriple(t_a),
introduced(definition,[new_symbols(definition,[sF11])],[function_definition]) ).
fof(f712,plain,
tc_Hoare__Mirabelle_Otriple(t_a) = sF11,
inference(reorient_equations,[],[f711]) ).
fof(f713,definition,
sF12 = c_in(sF11),
introduced(definition,[new_symbols(definition,[sF12])],[function_definition]) ).
fof(f714,plain,
c_in(sF11) = sF12,
inference(reorient_equations,[],[f713]) ).
fof(f715,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF12,X0),v_G))
| c_Hoare__Mirabelle_Otriple__valid(sF3,X0,t_a) ),
inference(definition_folding,[],[f642,f714,f712,f695]) ).
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,[],[f643,f745,f743,f741,f712,f739,f712,f727,f725,f737,f729,f712,f727,f725,f735,f733,f731,f729,f712,f727,f725,f727,f725,f697,f723,f721,f719,f712,f714,f712,f688,f717,f697]) ).
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,[],[f644,f688,f717,f697]) ).
fof(f748,definition,
sF28 = hAPP(sF12,v_xa),
introduced(definition,[new_symbols(definition,[sF28])],[function_definition]) ).
fof(f749,plain,
hAPP(sF12,v_xa) = sF28,
inference(reorient_equations,[],[f748]) ).
fof(f750,definition,
sF29 = hAPP(sF28,v_G),
introduced(definition,[new_symbols(definition,[sF29])],[function_definition]) ).
fof(f751,plain,
hAPP(sF28,v_G) = sF29,
inference(reorient_equations,[],[f750]) ).
fof(f752,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))
| hBOOL(sF29) ),
inference(definition_folding,[],[f645,f751,f749,f714,f712,f688,f697]) ).
fof(f753,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))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(definition_folding,[],[f646,f688,f697]) ).
fof(f794,plain,
( ~ hBOOL(hAPP(sF28,v_G))
| c_Hoare__Mirabelle_Otriple__valid(sF3,v_xa,t_a) ),
inference(superposition,[],[f715,f749]) ).
fof(f796,plain,
( c_Hoare__Mirabelle_Otriple__valid(sF3,v_xa,t_a)
| ~ hBOOL(sF29) ),
inference(forward_demodulation,[],[f794,f751]) ).
fof(f860,plain,
! [X0,X1] : hAPP(sF4,hAPP(X0,X1)) = hAPP(hAPP(sF21,X0),X1),
inference(superposition,[],[f684,f733]) ).
fof(f892,plain,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(sF3,X0,X1)
| c_Hoare__Mirabelle_Otriple__valid(v_na,X0,X1) ),
inference(superposition,[],[f609,f695]) ).
fof(f893,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(f894,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,[],[f893,f714]) ).
fof(f905,plain,
( c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| ~ hBOOL(sF29) ),
inference(resolution,[],[f892,f796]) ).
fof(f910,plain,
! [X0] : hAPP(sF4,hAPP(v_P,X0)) = hAPP(sF22,X0),
inference(superposition,[],[f860,f735]) ).
fof(f917,plain,
! [X0] : hAPP(hAPP(sF23,X0),hAPP(v_Q,X0)) = hAPP(sF24,X0),
inference(superposition,[],[f682,f739]) ).
fof(f941,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(f947,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,[],[f941,f721]) ).
fof(f950,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,[],[f947,f714]) ).
fof(f953,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,[],[f950,f714]) ).
fof(f955,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,[],[f953,f714]) ).
fof(f957,plain,
! [X0] : hAPP(sF23,X0) = hAPP(hAPP(sF22,X0),hAPP(c_Com_Ocom_OBODY,X0)),
inference(superposition,[],[f682,f737]) ).
fof(f961,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,f697]) ).
fof(f973,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,[],[f961,f717]) ).
fof(f975,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,[],[f973,f697]) ).
fof(f979,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(f983,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,[],[f979,f714]) ).
fof(f984,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,[],[f983,f688]) ).
fof(f992,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,[],[f955,f723]) ).
fof(f1010,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF12,X0),sF27))
| hBOOL(hAPP(hAPP(sF12,X0),v_G))
| hBOOL(hAPP(hAPP(sF12,X0),sF26)) ),
inference(superposition,[],[f992,f745]) ).
fof(f1021,plain,
hAPP(sF4,sF5) = hAPP(sF22,v_x),
inference(superposition,[],[f910,f699]) ).
fof(f1025,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))
| hBOOL(sF29) ),
inference(superposition,[],[f752,f910]) ).
fof(f1026,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))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(superposition,[],[f753,f910]) ).
fof(f1030,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))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(forward_demodulation,[],[f1026,f957]) ).
fof(f1031,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))
| hBOOL(sF29) ),
inference(forward_demodulation,[],[f1025,f957]) ).
fof(f1032,plain,
sF6 = hAPP(sF22,v_x),
inference(forward_demodulation,[],[f1021,f701]) ).
fof(f1033,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(v_na,hAPP(sF24,X0),t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(forward_demodulation,[],[f1030,f917]) ).
fof(f1034,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(v_na,hAPP(sF24,X0),t_a)
| hBOOL(sF29) ),
inference(forward_demodulation,[],[f1031,f917]) ).
fof(f1084,plain,
hAPP(sF23,v_x) = hAPP(hAPP(sF22,v_x),sF7),
inference(superposition,[],[f957,f703]) ).
fof(f1092,plain,
hAPP(sF6,sF7) = hAPP(sF23,v_x),
inference(forward_demodulation,[],[f1084,f1032]) ).
fof(f1094,plain,
sF8 = hAPP(sF23,v_x),
inference(forward_demodulation,[],[f1092,f705]) ).
fof(f1096,plain,
hAPP(sF24,v_x) = hAPP(sF8,hAPP(v_Q,v_x)),
inference(superposition,[],[f917,f1094]) ).
fof(f1097,plain,
hAPP(sF8,sF9) = hAPP(sF24,v_x),
inference(forward_demodulation,[],[f1096,f707]) ).
fof(f1098,plain,
sF10 = hAPP(sF24,v_x),
inference(forward_demodulation,[],[f1097,f709]) ).
fof(f1179,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)
| hBOOL(sF29) ),
inference(resolution,[],[f984,f1034]) ).
fof(f1180,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)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(resolution,[],[f984,f1033]) ).
fof(f1183,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))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(forward_demodulation,[],[f1180,f743]) ).
fof(f1184,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))
| hBOOL(sF29) ),
inference(forward_demodulation,[],[f1179,f743]) ).
fof(f1185,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a)
| ~ hBOOL(hAPP(hAPP(sF12,X0),sF26))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| ~ hBOOL(hAPP(hAPP(sF12,X0),hAPP(sF25,v_Procs))) ),
inference(superposition,[],[f1183,f894]) ).
fof(f1186,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF12,X0),sF26))
| c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a)
| ~ hBOOL(hAPP(hAPP(sF12,X0),sF26))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(forward_demodulation,[],[f1185,f743]) ).
fof(f1187,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF12,X0),sF26))
| c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(duplicate_literal_removal,[],[f1186]) ).
fof(f1188,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a)
| ~ hBOOL(hAPP(hAPP(sF12,X0),sF26))
| hBOOL(sF29)
| ~ hBOOL(hAPP(hAPP(sF12,X0),hAPP(sF25,v_Procs))) ),
inference(superposition,[],[f1184,f894]) ).
fof(f1189,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF12,X0),sF26))
| c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a)
| ~ hBOOL(hAPP(hAPP(sF12,X0),sF26))
| hBOOL(sF29) ),
inference(forward_demodulation,[],[f1188,f743]) ).
fof(f1190,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF12,X0),sF26))
| c_Hoare__Mirabelle_Otriple__valid(v_na,X0,t_a)
| hBOOL(sF29) ),
inference(duplicate_literal_removal,[],[f1189]) ).
fof(f1198,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,[],[f975,f747]) ).
fof(f1199,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,[],[f975,f746]) ).
fof(f1209,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,[],[f1199,f910]) ).
fof(f1210,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,[],[f1198,f910]) ).
fof(f1213,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,[],[f1209,f957]) ).
fof(f1214,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,[],[f1210,f957]) ).
fof(f1217,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,[],[f1213,f917]) ).
fof(f1218,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,[],[f1214,f917]) ).
fof(f1224,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,X0),t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a) ),
inference(superposition,[],[f1218,f695]) ).
fof(f1233,plain,
! [X0] :
( hBOOL(hAPP(hAPP(sF12,v_n(v_na)),sF27))
| ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,X0),t_a) ),
inference(superposition,[],[f1217,f695]) ).
fof(f1256,plain,
( ~ hBOOL(hAPP(sF1,v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,v_x),t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a) ),
inference(superposition,[],[f1224,f690]) ).
fof(f1258,plain,
( ~ hBOOL(sF2)
| c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,v_x),t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a) ),
inference(forward_demodulation,[],[f1256,f692]) ).
fof(f1260,plain,
( c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,v_x),t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a) ),
inference(forward_subsumption_resolution,[],[f1258,f693]) ).
fof(f1261,plain,
( c_Hoare__Mirabelle_Otriple__valid(sF3,sF10,t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a) ),
inference(forward_demodulation,[],[f1260,f1098]) ).
fof(f1262,plain,
~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a),
inference(forward_subsumption_resolution,[],[f1261,f710]) ).
fof(f1295,plain,
! [X0] :
( hBOOL(hAPP(hAPP(sF12,v_n(v_na)),sF26))
| c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,X0),t_a)
| hBOOL(hAPP(hAPP(sF12,v_n(v_na)),v_G))
| ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs)) ),
inference(resolution,[],[f1233,f1010]) ).
fof(f1428,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,X0),t_a)
| hBOOL(hAPP(hAPP(sF12,v_n(v_na)),v_G))
| ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a)
| hBOOL(sF29) ),
inference(resolution,[],[f1295,f1190]) ).
fof(f1429,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,X0),t_a)
| hBOOL(hAPP(hAPP(sF12,v_n(v_na)),v_G))
| ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(resolution,[],[f1295,f1187]) ).
fof(f1431,plain,
! [X0] :
( hBOOL(hAPP(hAPP(sF12,v_n(v_na)),v_G))
| c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,X0),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs))
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(forward_subsumption_resolution,[],[f1429,f1224]) ).
fof(f1432,plain,
! [X0] :
( hBOOL(hAPP(hAPP(sF12,v_n(v_na)),v_G))
| c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,X0),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs))
| hBOOL(sF29) ),
inference(forward_subsumption_resolution,[],[f1428,f1224]) ).
fof(f1433,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,X0),t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| c_Hoare__Mirabelle_Otriple__valid(sF3,v_n(v_na),t_a) ),
inference(resolution,[],[f1431,f715]) ).
fof(f1437,plain,
( ~ hBOOL(hAPP(sF1,v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,v_x),t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| c_Hoare__Mirabelle_Otriple__valid(sF3,v_n(v_na),t_a) ),
inference(superposition,[],[f1433,f690]) ).
fof(f1439,plain,
( ~ hBOOL(sF2)
| c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,v_x),t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| c_Hoare__Mirabelle_Otriple__valid(sF3,v_n(v_na),t_a) ),
inference(forward_demodulation,[],[f1437,f692]) ).
fof(f1441,plain,
( c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,v_x),t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| c_Hoare__Mirabelle_Otriple__valid(sF3,v_n(v_na),t_a) ),
inference(forward_subsumption_resolution,[],[f1439,f693]) ).
fof(f1442,plain,
( c_Hoare__Mirabelle_Otriple__valid(sF3,sF10,t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| c_Hoare__Mirabelle_Otriple__valid(sF3,v_n(v_na),t_a) ),
inference(forward_demodulation,[],[f1441,f1098]) ).
fof(f1443,plain,
( c_Hoare__Mirabelle_Otriple__valid(sF3,v_n(v_na),t_a)
| ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a) ),
inference(forward_subsumption_resolution,[],[f1442,f710]) ).
fof(f1444,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a)
| c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a) ),
inference(resolution,[],[f1443,f892]) ).
fof(f1445,plain,
~ c_Hoare__Mirabelle_Otriple__valid(v_na,v_xa,t_a),
inference(forward_subsumption_resolution,[],[f1444,f1262]) ).
fof(f1446,plain,
~ hBOOL(sF29),
inference(resolution,[],[f1445,f905]) ).
fof(f2182,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,X0),t_a)
| ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs))
| hBOOL(sF29)
| c_Hoare__Mirabelle_Otriple__valid(sF3,v_n(v_na),t_a) ),
inference(resolution,[],[f1432,f715]) ).
fof(f2185,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(sF0,X0),v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,X0),t_a)
| c_Hoare__Mirabelle_Otriple__valid(sF3,v_n(v_na),t_a) ),
inference(forward_subsumption_resolution,[],[f2182,f1446]) ).
fof(f2188,plain,
( ~ hBOOL(hAPP(sF1,v_Procs))
| c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,v_x),t_a)
| c_Hoare__Mirabelle_Otriple__valid(sF3,v_n(v_na),t_a) ),
inference(superposition,[],[f2185,f690]) ).
fof(f2191,plain,
( ~ hBOOL(sF2)
| c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,v_x),t_a)
| c_Hoare__Mirabelle_Otriple__valid(sF3,v_n(v_na),t_a) ),
inference(forward_demodulation,[],[f2188,f692]) ).
fof(f2193,plain,
( c_Hoare__Mirabelle_Otriple__valid(sF3,hAPP(sF24,v_x),t_a)
| c_Hoare__Mirabelle_Otriple__valid(sF3,v_n(v_na),t_a) ),
inference(forward_subsumption_resolution,[],[f2191,f693]) ).
fof(f2194,plain,
( c_Hoare__Mirabelle_Otriple__valid(sF3,sF10,t_a)
| c_Hoare__Mirabelle_Otriple__valid(sF3,v_n(v_na),t_a) ),
inference(forward_demodulation,[],[f2193,f1098]) ).
fof(f2195,plain,
c_Hoare__Mirabelle_Otriple__valid(sF3,v_n(v_na),t_a),
inference(forward_subsumption_resolution,[],[f2194,f710]) ).
fof(f2196,plain,
c_Hoare__Mirabelle_Otriple__valid(v_na,v_n(v_na),t_a),
inference(resolution,[],[f2195,f892]) ).
fof(f2197,plain,
$false,
inference(forward_subsumption_resolution,[],[f2196,f1262]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWV852-1 : TPTP v9.3.1. Released v4.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.19 % Computer : n004.cluster.edu
% 0.10/0.19 % Model : x86_64 x86_64
% 0.10/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.19 % Memory : 8046.5625MB
% 0.10/0.19 % OS : Linux 6.8.0-71-generic
% 0.10/0.19 % CPULimit : 300
% 0.10/0.19 % WCLimit : 300
% 0.10/0.19 % DateTime : Mon Sep 28 12:43:57 UTC 2026
% 0.10/0.19 % CPUTime :
% 0.10/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.22 Running first-order theorem proving
% 0.10/0.22 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
% 9.97/2.09 % (330855)Input is clausal, will run a generic CNF schedule.
% 9.97/2.09 % (330863)lrs+10_1_sil=8000:sp=occurrence:random_seed=1696021624:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.97/2.09 % (330862)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4178866515:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.97/2.09 % (330860)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=4012368397:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.97/2.09 % (330864)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1123288619:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.97/2.09 % (330866)dis-21_1_sil=8000:lcm=predicate:random_seed=3548671811: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)
% 9.97/2.09 % (330861)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2749886542:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.97/2.09 % (330863)Instruction limit reached!
% 9.97/2.09 % (330863)------------------------------
% 9.97/2.09 % (330863)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/2.09 % (330863)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/2.09 % (330863)CaDiCaL version: 2.1.3
% 9.97/2.09 % (330863)Termination reason: Instruction limit
% 9.97/2.09 % (330863)Termination phase: Saturation
% 9.97/2.09 % (330863)Time elapsed: 0.035 s
% 9.97/2.09 % (330863)Peak memory usage: 89 MB
% 9.97/2.09 % (330863)Instructions burned: 108 (million)
% 9.97/2.09 % (330865)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2256548905:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.97/2.09 % (330866)Instruction limit reached!
% 9.97/2.09 % (330866)------------------------------
% 9.97/2.09 % (330866)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/2.09 % (330866)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/2.09 % (330866)CaDiCaL version: 2.1.3
% 9.97/2.09 % (330866)Termination reason: Instruction limit
% 9.97/2.09 % (330866)Termination phase: Saturation
% 9.97/2.09 % (330866)Time elapsed: 0.073 s
% 9.97/2.09 % (330866)Peak memory usage: 89 MB
% 9.97/2.09 % (330866)Instructions burned: 119 (million)
% 9.97/2.09 % (330864)Instruction limit reached!
% 9.97/2.09 % (330864)------------------------------
% 9.97/2.09 % (330864)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/2.09 % (330864)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/2.09 % (330864)CaDiCaL version: 2.1.3
% 9.97/2.09 % (330864)Termination reason: Instruction limit
% 9.97/2.09 % (330864)Termination phase: Saturation
% 9.97/2.09 % (330864)Time elapsed: 0.076 s
% 9.97/2.09 % (330864)Peak memory usage: 88 MB
% 9.97/2.09 % (330864)Instructions burned: 115 (million)
% 9.97/2.09 % (330873)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=1574193954:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.97/2.09 % (330865)Instruction limit reached!
% 9.97/2.09 % (330865)------------------------------
% 9.97/2.09 % (330865)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/2.09 % (330865)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/2.09 % (330865)CaDiCaL version: 2.1.3
% 9.97/2.09 % (330865)Termination reason: Instruction limit
% 9.97/2.09 % (330865)Termination phase: Saturation
% 9.97/2.09 % (330865)Time elapsed: 0.117 s
% 9.97/2.09 % (330865)Peak memory usage: 90 MB
% 9.97/2.09 % (330865)Instructions burned: 180 (million)
% 9.97/2.09 % (330873)Instruction limit reached!
% 9.97/2.09 % (330873)------------------------------
% 9.97/2.09 % (330873)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.97/2.09 % (330873)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.97/2.09 % (330873)CaDiCaL version: 2.1.3
% 9.97/2.09 % (330873)Termination reason: Instruction limit
% 9.97/2.09 % (330873)Termination phase: Saturation
% 9.97/2.09 % (330873)Time elapsed: 0.048 s
% 9.97/2.09 % (330873)Peak memory usage: 90 MB
% 9.97/2.09 % (330873)Instructions burned: 145 (million)
% 9.97/2.09 % (330876)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1231353990:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 11.89/2.62 % (330875)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1083643810: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)
% 11.89/2.62 % (330878)lrs+10_64_to=lpo:sil=8000:random_seed=2991266876:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 11.89/2.62 % (330879)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3693467865:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 11.89/2.62 % (330875)Instruction limit reached!
% 11.89/2.62 % (330875)------------------------------
% 11.89/2.62 % (330875)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.62 % (330875)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.62 % (330875)CaDiCaL version: 2.1.3
% 11.89/2.62 % (330875)Termination reason: Instruction limit
% 11.89/2.62 % (330875)Termination phase: Saturation
% 11.89/2.62 % (330875)Time elapsed: 0.108 s
% 11.89/2.62 % (330875)Peak memory usage: 90 MB
% 11.89/2.62 % (330875)Instructions burned: 190 (million)
% 11.89/2.62 % (330876)Instruction limit reached!
% 11.89/2.62 % (330876)------------------------------
% 11.89/2.62 % (330876)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.62 % (330876)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.62 % (330876)CaDiCaL version: 2.1.3
% 11.89/2.62 % (330876)Termination reason: Instruction limit
% 11.89/2.62 % (330876)Termination phase: Saturation
% 11.89/2.62 % (330876)Time elapsed: 0.132 s
% 11.89/2.62 % (330876)Peak memory usage: 91 MB
% 11.89/2.62 % (330876)Instructions burned: 219 (million)
% 11.89/2.62 % (330878)Instruction limit reached!
% 11.89/2.62 % (330878)------------------------------
% 11.89/2.62 % (330878)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.62 % (330878)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.62 % (330878)CaDiCaL version: 2.1.3
% 11.89/2.62 % (330878)Termination reason: Instruction limit
% 11.89/2.62 % (330878)Termination phase: Saturation
% 11.89/2.62 % (330878)Time elapsed: 0.074 s
% 11.89/2.62 % (330878)Peak memory usage: 89 MB
% 11.89/2.62 % (330878)Instructions burned: 127 (million)
% 11.89/2.62 % (330879)Instruction limit reached!
% 11.89/2.62 % (330879)------------------------------
% 11.89/2.62 % (330879)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.62 % (330879)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.62 % (330879)CaDiCaL version: 2.1.3
% 11.89/2.62 % (330879)Termination reason: Instruction limit
% 11.89/2.62 % (330879)Termination phase: Saturation
% 11.89/2.62 % (330879)Time elapsed: 0.070 s
% 11.89/2.62 % (330879)Peak memory usage: 90 MB
% 11.89/2.62 % (330879)Instructions burned: 195 (million)
% 11.89/2.62 % (330884)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3807981585:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 11.89/2.62 % (330886)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=3077254765:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 11.89/2.62 % (330885)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=192390828:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 11.89/2.62 % (330887)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4028766426:i=107_2994 on theBenchmark for (2994ds/107Mi)
% 11.89/2.62 % (330887)Instruction limit reached!
% 11.89/2.62 % (330887)------------------------------
% 11.89/2.62 % (330887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.62 % (330887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.62 % (330887)CaDiCaL version: 2.1.3
% 11.89/2.62 % (330887)Termination reason: Instruction limit
% 11.89/2.62 % (330887)Termination phase: Saturation
% 11.89/2.62 % (330887)Time elapsed: 0.038 s
% 11.89/2.62 % (330887)Peak memory usage: 90 MB
% 11.89/2.62 % (330887)Instructions burned: 109 (million)
% 11.89/2.62 % (330884)Instruction limit reached!
% 11.89/2.62 % (330884)------------------------------
% 11.89/2.62 % (330884)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.62 % (330884)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.62 % (330884)CaDiCaL version: 2.1.3
% 11.89/2.62 % (330884)Termination reason: Instruction limit
% 11.89/2.62 % (330884)Termination phase: Saturation
% 11.89/2.62 % (330884)Time elapsed: 0.091 s
% 11.89/2.62 % (330884)Peak memory usage: 90 MB
% 11.89/2.62 % (330884)Instructions burned: 157 (million)
% 11.89/2.62 % (330886)Instruction limit reached!
% 11.89/2.62 % (330886)------------------------------
% 11.89/2.62 % (330886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.62 % (330886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.62 % (330886)CaDiCaL version: 2.1.3
% 11.89/2.62 % (330886)Termination reason: Instruction limit
% 11.89/2.62 % (330886)Termination phase: Saturation
% 11.89/2.62 % (330886)Time elapsed: 0.058 s
% 11.89/2.62 % (330886)Peak memory usage: 89 MB
% 11.89/2.62 % (330886)Instructions burned: 106 (million)
% 11.89/2.62 % (330892)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1500944957:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 11.89/2.62 % (330894)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3889667137:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 11.89/2.62 % (330893)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=329333731:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 11.89/2.62 % (330892)Instruction limit reached!
% 11.89/2.62 % (330892)------------------------------
% 11.89/2.62 % (330892)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.62 % (330892)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.62 % (330892)CaDiCaL version: 2.1.3
% 11.89/2.62 % (330892)Termination reason: Instruction limit
% 11.89/2.62 % (330892)Termination phase: Saturation
% 11.89/2.62 % (330892)Time elapsed: 0.076 s
% 11.89/2.62 % (330892)Peak memory usage: 90 MB
% 11.89/2.62 % (330892)Instructions burned: 243 (million)
% 11.89/2.62 % (330894)Instruction limit reached!
% 11.89/2.62 % (330894)------------------------------
% 11.89/2.62 % (330894)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.62 % (330894)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.62 % (330894)CaDiCaL version: 2.1.3
% 11.89/2.62 % (330894)Termination reason: Instruction limit
% 11.89/2.62 % (330894)Termination phase: Saturation
% 11.89/2.62 % (330894)Time elapsed: 0.086 s
% 11.89/2.62 % (330894)Peak memory usage: 90 MB
% 11.89/2.62 % (330894)Instructions burned: 135 (million)
% 11.89/2.62 % (330898)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3636367352:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 11.89/2.62 % (330899)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=2296512545:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 11.89/2.62 % (330898)Instruction limit reached!
% 11.89/2.62 % (330898)------------------------------
% 11.89/2.62 % (330898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.62 % (330898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.62 % (330898)CaDiCaL version: 2.1.3
% 11.89/2.62 % (330898)Termination reason: Instruction limit
% 11.89/2.62 % (330898)Termination phase: Saturation
% 11.89/2.62 % (330898)Time elapsed: 0.172 s
% 11.89/2.62 % (330898)Peak memory usage: 95 MB
% 11.89/2.62 % (330898)Instructions burned: 501 (million)
% 11.89/2.62 % (330899)Instruction limit reached!
% 11.89/2.62 % (330899)------------------------------
% 11.89/2.62 % (330899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.62 % (330899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.62 % (330899)CaDiCaL version: 2.1.3
% 11.89/2.62 % (330899)Termination reason: Instruction limit
% 11.89/2.62 % (330899)Termination phase: Saturation
% 11.89/2.62 % (330899)Time elapsed: 0.126 s
% 11.89/2.62 % (330899)Peak memory usage: 91 MB
% 11.89/2.62 % (330899)Instructions burned: 191 (million)
% 11.89/2.62 % (330902)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2662400336:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 11.89/2.62 % (330903)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2249653599:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 11.89/2.62 % (330902)Instruction limit reached!
% 11.89/2.62 % (330902)------------------------------
% 11.89/2.62 % (330902)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.62 % (330902)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.62 % (330902)CaDiCaL version: 2.1.3
% 11.89/2.62 % (330902)Termination reason: Instruction limit
% 11.89/2.62 % (330902)Termination phase: Saturation
% 11.89/2.62 % (330902)Time elapsed: 0.077 s
% 11.89/2.62 % (330902)Peak memory usage: 91 MB
% 11.89/2.62 % (330902)Instructions burned: 265 (million)
% 11.89/2.62 % (330903)Instruction limit reached!
% 11.89/2.62 % (330903)------------------------------
% 11.89/2.62 % (330903)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 11.89/2.62 % (330903)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 11.89/2.62 % (330903)CaDiCaL version: 2.1.3
% 11.89/2.62 % (330903)Termination reason: Instruction limit
% 11.89/2.62 % (330903)Termination phase: Saturation
% 11.89/2.62 % (330903)Time elapsed: 0.085 s
% 11.89/2.62 % (330903)Peak memory usage: 90 MB
% 11.89/2.62 % (330903)Instructions burned: 158 (million)
% 11.89/2.62 % (330906)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=1447978202:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 11.89/2.62 % (330907)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=504130000:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 11.89/2.62 % (330893)First to succeed.
% 11.89/2.62 % (330893)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-330855"
% 11.89/2.62 % (330893)Refutation found. Thanks to Tanya!
% 11.89/2.62 % SZS status Unsatisfiable for theBenchmark
% 11.89/2.62 % SZS output start Proof for theBenchmark
% See solution above
% 14.24/2.79 % (330893)------------------------------
% 14.24/2.79 % (330893)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 14.24/2.79 % (330893)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 14.24/2.79 % (330893)CaDiCaL version: 2.1.3
% 14.24/2.79 % (330893)Termination reason: Refutation
% 14.24/2.79 % (330893)Time elapsed: 0.879 s
% 14.24/2.79 % (330893)Peak memory usage: 137 MB
% 14.24/2.79 % (330893)Instructions burned: 1877 (million)
% 14.24/2.79 % (330893)------------------------------
% 14.24/2.79 % (330893)------------------------------
% 14.24/2.79 % (330855)Success in time 1.958 s
% 14.24/2.79 % Vampire exiting
%------------------------------------------------------------------------------