%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW305+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.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 01:30:04 PM UTC 2026
% Result : Theorem 3.61s 1.52s
% Output : Refutation 4.74s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 10
% Syntax : Number of formulae : 38 ( 35 unt; 0 def)
% Number of atoms : 43 ( 23 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 24 ( 19 ~; 3 |; 1 &)
% ( 1 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 14 ( 3 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 11 con; 0-3 aty)
% Number of variables : 75 ( 75 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f18,axiom,
! [X0,X1,X2,X3] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)) = hAPP(hAPP(c_Set_Oinsert(X3),X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),X2),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Un__insert__right) ).
fof(f19,axiom,
! [X0,X1,X2,X3] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0) = hAPP(hAPP(c_Set_Oinsert(X3),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),X1),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Un__insert__left) ).
fof(f78,axiom,
! [X0,X1,X2] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X1),X0) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Un__commute) ).
fof(f91,axiom,
! [X0,X1,X2,X3] :
( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)) = hAPP(c_Set_Oimage(X2,X3,X1),X0)
<=> X0 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_empty__is__image) ).
fof(f94,axiom,
! [X0,X1] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_Un__empty__left) ).
fof(f95,axiom,
! [X0,X1,X2,X3,X4] : hAPP(c_Set_Oimage(X4,X3,X2),hAPP(hAPP(c_Set_Oinsert(X4),X1),X0)) = hAPP(hAPP(c_Set_Oinsert(X3),hAPP(X2,X1)),hAPP(c_Set_Oimage(X4,X3,X2),X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_image__insert) ).
fof(f5206,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0) = hAPP(X2,hAPP(X1,X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBB__1) ).
fof(f5207,axiom,
! [X0,X1,X2,X3,X4,X5] : hAPP(hAPP(hAPP(c_COMBC(X5,X4,X3),X2),X1),X0) = hAPP(hAPP(X2,X0),X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',help_c__COMBC__1) ).
fof(f5224,axiom,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_0) ).
fof(f5225,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f5226,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),
inference(negated_conjecture,[status(cth)],[f5225]) ).
fof(f5227,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),
inference(flattening,[],[f5226]) ).
fof(f5382,plain,
! [X0,X1,X2,X3] :
( ( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)) = hAPP(c_Set_Oimage(X2,X3,X1),X0)
| c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) != X0 )
& ( X0 = c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))
| c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)) != hAPP(c_Set_Oimage(X2,X3,X1),X0) ) ),
inference(nnf_transformation,[],[f91]) ).
fof(f5394,plain,
c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5224]) ).
fof(f5395,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),
inference(cnf_transformation,[],[f5227]) ).
fof(f5552,plain,
! [X0,X1] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X1,tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(X1,tc_HOL_Obool))),X0) = X0,
inference(cnf_transformation,[],[f94]) ).
fof(f5558,plain,
! [X2,X0,X1] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X1),X0) = hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X2,tc_HOL_Obool)),X0),X1),
inference(cnf_transformation,[],[f78]) ).
fof(f5588,plain,
! [X2,X3,X0,X1] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(X3),X2),X1)),X0) = hAPP(hAPP(c_Set_Oinsert(X3),X2),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),X1),X0)),
inference(cnf_transformation,[],[f19]) ).
fof(f5589,plain,
! [X2,X3,X0,X1] : hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)) = hAPP(hAPP(c_Set_Oinsert(X3),X1),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(X3,tc_HOL_Obool)),X2),X0)),
inference(cnf_transformation,[],[f18]) ).
fof(f5596,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(X2,hAPP(X1,X0)) = hAPP(hAPP(hAPP(c_COMBB(X5,X4,X3),X2),X1),X0),
inference(cnf_transformation,[],[f5206]) ).
fof(f5607,plain,
! [X2,X3,X0,X1,X4] : hAPP(c_Set_Oimage(X4,X3,X2),hAPP(hAPP(c_Set_Oinsert(X4),X1),X0)) = hAPP(hAPP(c_Set_Oinsert(X3),hAPP(X2,X1)),hAPP(c_Set_Oimage(X4,X3,X2),X0)),
inference(cnf_transformation,[],[f95]) ).
fof(f5609,plain,
! [X2,X3,X0,X1] :
( c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)) = hAPP(c_Set_Oimage(X2,X3,X1),X0)
| c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool)) != X0 ),
inference(cnf_transformation,[],[f5382]) ).
fof(f5624,plain,
! [X2,X3,X0,X1,X4,X5] : hAPP(hAPP(X2,X0),X1) = hAPP(hAPP(hAPP(c_COMBC(X5,X4,X3),X2),X1),X0),
inference(cnf_transformation,[],[f5207]) ).
fof(f5658,plain,
! [X2,X3,X1] : c_Orderings_Obot__class_Obot(tc_fun(X3,tc_HOL_Obool)) = hAPP(c_Set_Oimage(X2,X3,X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))),
inference(equality_resolution,[],[f5609]) ).
fof(f5685,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),v_Q),v_pn)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),
inference(forward_demodulation,[],[f5395,f5607]) ).
fof(f5686,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody))),v_Q),v_pn)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(forward_demodulation,[],[f5685,f5658]) ).
fof(f5687,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody)),v_pn),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(forward_demodulation,[],[f5686,f5624]) ).
fof(f5688,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_Com_Ocom,tc_Com_Opname),c_Option_Othe(tc_Com_Ocom)),c_Com_Obody),v_pn)),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(forward_demodulation,[],[f5687,f5596]) ).
fof(f5689,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),v_G),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(forward_demodulation,[],[f5688,f5596]) ).
fof(f5690,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),hAPP(hAPP(c_Set_Oinsert(tc_Com_Opname),v_pn),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(forward_demodulation,[],[f5689,f5558]) ).
fof(f5691,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q),v_pn)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool))))),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(forward_demodulation,[],[f5690,f5607]) ).
fof(f5692,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q),v_pn)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),hAPP(c_Set_Oimage(tc_Com_Opname,tc_Hoare__Mirabelle_Otriple(t_a),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Com_Opname,tc_HOL_Obool)))),v_G)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(forward_demodulation,[],[f5691,f5588]) ).
fof(f5693,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q),v_pn)),hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),v_G)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(forward_demodulation,[],[f5692,f5658]) ).
fof(f5694,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Lattices_Osemilattice__sup__class_Osup(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q),v_pn)),v_G)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(forward_demodulation,[],[f5693,f5589]) ).
fof(f5695,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY)),v_Q),v_pn)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(forward_demodulation,[],[f5694,f5552]) ).
fof(f5696,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(hAPP(c_COMBB(tc_Com_Ocom,tc_fun(tc_fun(t_a,tc_fun(tc_Com_Ostate,tc_HOL_Obool)),tc_Hoare__Mirabelle_Otriple(t_a)),tc_Com_Opname),hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P)),c_Com_Ocom_OBODY),v_pn),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(forward_demodulation,[],[f5695,f5624]) ).
fof(f5697,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(t_a,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Com_Ocom_OBODY,v_pn)),v_Q)),v_G),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),v_P),hAPP(c_Option_Othe(tc_Com_Ocom),hAPP(c_Com_Obody,v_pn))),v_Q)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))),
inference(forward_demodulation,[],[f5696,f5596]) ).
fof(f5698,plain,
$false,
inference(forward_subsumption_resolution,[],[f5697,f5394]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW305+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.27 % Computer : n009.cluster.edu
% 0.11/0.27 % Model : x86_64 x86_64
% 0.11/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.27 % Memory : 8046.5625MB
% 0.11/0.27 % OS : Linux 6.8.0-71-generic
% 0.11/0.27 % CPULimit : 300
% 0.11/0.27 % WCLimit : 300
% 0.11/0.27 % DateTime : Mon Sep 28 13:32:00 UTC 2026
% 0.26/0.27 % CPUTime :
% 0.26/0.27 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.26/0.33 Running first-order theorem proving
% 0.26/0.33 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
% 3.61/1.52 % (3027726)Detected formulas, will run a generic FOF schedule.
% 3.61/1.52 % (3027736)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3255150265:i=109:sd=1:ins=1:gsp=on:ss=axioms_2997 on theBenchmark for (2997ds/109Mi)
% 3.61/1.52 % (3027736)First to succeed.
% 3.61/1.52 % (3027734)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=3721163155:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2997 on theBenchmark for (2997ds/134677Mi)
% 3.61/1.52 % (3027739)dis-21_1_sil=8000:lcm=predicate:random_seed=2468516885:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2997 on theBenchmark for (2997ds/129Mi)
% 3.61/1.52 % (3027733)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=630499865:i=141193_2997 on theBenchmark for (2997ds/141193Mi)
% 3.61/1.52 % (3027738)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3663357415:s2a=on:i=139:gtg=position_2997 on theBenchmark for (2997ds/139Mi)
% 3.61/1.52 % (3027737)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=376848845:i=119:av=off:ss=axioms_2997 on theBenchmark for (2997ds/119Mi)
% 3.61/1.52 % (3027735)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3465121948:i=141695:sd=1:nm=32:gsp=on:ss=included_2997 on theBenchmark for (2997ds/141695Mi)
% 3.61/1.52 % (3027736)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3027726"
% 3.61/1.52 % (3027737)Instruction limit reached!
% 3.61/1.52 % (3027737)------------------------------
% 3.61/1.52 % (3027737)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.52 % (3027737)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.52 % (3027737)CaDiCaL version: 2.1.3
% 3.61/1.52 % (3027737)Termination reason: Instruction limit
% 3.61/1.52 % (3027737)Termination phase: Saturation
% 3.61/1.52 % (3027737)Time elapsed: 0.109 s
% 3.61/1.52 % (3027737)Peak memory usage: 94 MB
% 3.61/1.52 % (3027737)Instructions burned: 119 (million)
% 3.61/1.52 % (3027738)Instruction limit reached!
% 3.61/1.52 % (3027738)------------------------------
% 3.61/1.52 % (3027738)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.52 % (3027738)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.52 % (3027738)CaDiCaL version: 2.1.3
% 3.61/1.52 % (3027738)Termination reason: Instruction limit
% 3.61/1.52 % (3027738)Termination phase: SInE selection
% 3.61/1.52 % (3027738)Time elapsed: 0.112 s
% 3.61/1.52 % (3027738)Peak memory usage: 90 MB
% 3.61/1.52 % (3027738)Instructions burned: 140 (million)
% 3.61/1.52 % (3027739)Instruction limit reached!
% 3.61/1.52 % (3027739)------------------------------
% 3.61/1.52 % (3027739)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.61/1.52 % (3027739)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.61/1.52 % (3027739)CaDiCaL version: 2.1.3
% 3.61/1.52 % (3027739)Termination reason: Instruction limit
% 3.61/1.52 % (3027739)Termination phase: Preprocessing 3
% 3.61/1.52 % (3027739)Time elapsed: 0.129 s
% 3.61/1.52 % (3027739)Peak memory usage: 93 MB
% 3.61/1.52 % (3027739)Instructions burned: 130 (million)
% 3.61/1.52 % (3027736)Refutation found. Thanks to Tanya!
% 3.61/1.52 % SZS status Theorem for theBenchmark
% 3.61/1.52 % SZS output start Proof for theBenchmark
% See solution above
% 4.74/1.73 % (3027736)------------------------------
% 4.74/1.73 % (3027736)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.74/1.73 % (3027736)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.74/1.73 % (3027736)CaDiCaL version: 2.1.3
% 4.74/1.73 % (3027736)Termination reason: Refutation
% 4.74/1.73 % (3027736)Time elapsed: 0.178 s
% 4.74/1.73 % (3027736)Peak memory usage: 94 MB
% 4.74/1.73 % (3027736)Instructions burned: 82 (million)
% 4.74/1.73 % (3027736)------------------------------
% 4.74/1.73 % (3027736)------------------------------
% 4.74/1.73 % (3027726)Success in time 0.767 s
% 4.74/1.73 % Vampire exiting
%------------------------------------------------------------------------------