%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW353+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 : n006.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 01:30:10 PM UTC 2026
% Result : Theorem 8.41s 2.67s
% Output : Refutation 9.95s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 11
% Syntax : Number of formulae : 45 ( 17 unt; 1 def)
% Number of atoms : 86 ( 21 equ)
% Maximal formula atoms : 6 ( 1 avg)
% Number of connectives : 77 ( 36 ~; 27 |; 7 &)
% ( 3 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 28 ( 28 usr; 11 con; 0-3 aty)
% Number of variables : 101 ( 101 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f6,axiom,
! [X0,X1,X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),X0))
=> ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
& c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_derivs__insertD) ).
fof(f21,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X0))
<=> ( X2 = X0
| hBOOL(hAPP(X1,X0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_insert__code) ).
fof(f61,axiom,
! [X0] : c_Hoare__Mirabelle_OMGT(X0) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),X0),c_Natural_Oevalc(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_MGT__def) ).
fof(f182,axiom,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
<=> hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_mem__def) ).
fof(f244,axiom,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
=> hAPP(hAPP(c_Set_Oinsert(X2),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X0),hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_insert__Diff) ).
fof(f301,axiom,
! [X0,X1,X2,X3,X4] :
( hAPP(X4,X3) = hAPP(c_Option_Ooption_OSome(X2),X1)
=> hBOOL(hAPP(hAPP(c_member(X0),X3),c_Map_Odom(X0,X2,X4))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_domI) ).
fof(f1121,axiom,
! [X0,X1,X2] : c_Map_Odom(X2,X1,X0) = hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2),c_fNot),hAPP(hAPP(c_COMBC(X2,tc_Option_Ooption(X1),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool),X2),c_fequal),X0)),c_Option_Ooption_ONone(X1)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',fact_dom__def) ).
fof(f5243,axiom,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_1) ).
fof(f5244,axiom,
hAPP(c_Com_Obody,v_pname) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_2) ).
fof(f5245,conjecture,
c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,v_pname))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conj_3) ).
fof(f5246,negated_conjecture,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,v_pname))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(negated_conjecture,[status(cth)],[f5245]) ).
fof(f5247,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,v_pname))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(flattening,[],[f5246]) ).
fof(f5250,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ),
inference(ennf_transformation,[],[f5243]) ).
fof(f5262,plain,
! [X0,X1,X2,X3] :
( ( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
& c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,X0) )
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),X0)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f5286,plain,
! [X0,X1,X2] :
( hAPP(hAPP(c_Set_Oinsert(X2),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X0),hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))) = X0
| ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ),
inference(ennf_transformation,[],[f244]) ).
fof(f5304,plain,
! [X0,X1,X2,X3,X4] :
( hBOOL(hAPP(hAPP(c_member(X0),X3),c_Map_Odom(X0,X2,X4)))
| hAPP(X4,X3) != hAPP(c_Option_Ooption_OSome(X2),X1) ),
inference(ennf_transformation,[],[f301]) ).
fof(f5370,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X0))
| ( X0 != X2
& ~ hBOOL(hAPP(X1,X0)) ) )
& ( X2 = X0
| hBOOL(hAPP(X1,X0))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X0)) ) ),
inference(nnf_transformation,[],[f21]) ).
fof(f5371,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X0))
| ( X0 != X2
& ~ hBOOL(hAPP(X1,X0)) ) )
& ( X2 = X0
| hBOOL(hAPP(X1,X0))
| ~ hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X0)) ) ),
inference(flattening,[],[f5370]) ).
fof(f5388,plain,
! [X0,X1,X2] :
( ( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| ~ hBOOL(hAPP(X0,X1)) )
& ( hBOOL(hAPP(X0,X1))
| ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ) ),
inference(nnf_transformation,[],[f182]) ).
fof(f5392,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,X0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ),
inference(cnf_transformation,[],[f5250]) ).
fof(f5393,plain,
hAPP(c_Com_Obody,v_pname) = hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y),
inference(cnf_transformation,[],[f5244]) ).
fof(f5394,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),c_Hoare__Mirabelle_OMGT(hAPP(c_Com_Ocom_OBODY,v_pname))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5247]) ).
fof(f5404,plain,
! [X2,X3,X0,X1] :
( c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(X3),tc_HOL_Obool))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(X3,X2,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(X3)),X1),X0)) ),
inference(cnf_transformation,[],[f5262]) ).
fof(f5470,plain,
! [X2,X0,X1] :
( hAPP(hAPP(c_Set_Oinsert(X2),X1),hAPP(hAPP(c_Groups_Ominus__class_Ominus(tc_fun(X2,tc_HOL_Obool)),X0),hAPP(hAPP(c_Set_Oinsert(X2),X1),c_Orderings_Obot__class_Obot(tc_fun(X2,tc_HOL_Obool))))) = X0
| ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0)) ),
inference(cnf_transformation,[],[f5286]) ).
fof(f5501,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X0))
| X0 != X2 ),
inference(cnf_transformation,[],[f5371]) ).
fof(f5514,plain,
! [X2,X0,X1] : c_Map_Odom(X2,X1,X0) = hAPP(c_Set_OCollect(X2),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X2),c_fNot),hAPP(hAPP(c_COMBC(X2,tc_Option_Ooption(X1),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool),X2),c_fequal),X0)),c_Option_Ooption_ONone(X1)))),
inference(cnf_transformation,[],[f1121]) ).
fof(f5519,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP(hAPP(c_member(X0),X3),c_Map_Odom(X0,X2,X4)))
| hAPP(X4,X3) != hAPP(c_Option_Ooption_OSome(X2),X1) ),
inference(cnf_transformation,[],[f5304]) ).
fof(f5535,plain,
! [X0] : c_Hoare__Mirabelle_OMGT(X0) = hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),X0),c_Natural_Oevalc(X0)),
inference(cnf_transformation,[],[f61]) ).
fof(f5563,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| ~ hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f5388]) ).
fof(f5573,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X0),hAPP(c_Set_OCollect(tc_Com_Opname),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,tc_Com_Opname),c_fNot),hAPP(hAPP(c_COMBC(tc_Com_Opname,tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(tc_Com_Ocom),tc_fun(tc_Option_Ooption(tc_Com_Ocom),tc_HOL_Obool),tc_Com_Opname),c_fequal),c_Com_Obody)),c_Option_Ooption_ONone(tc_Com_Ocom))))))
| c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,X0)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X0)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
inference(definition_unfolding,[],[f5392,f5535,f5514]) ).
fof(f5574,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pname)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pname)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(definition_unfolding,[],[f5394,f5535]) ).
fof(f5583,plain,
! [X2,X3,X0,X1,X4] :
( hBOOL(hAPP(hAPP(c_member(X0),X3),hAPP(c_Set_OCollect(X0),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X0),c_fNot),hAPP(hAPP(c_COMBC(X0,tc_Option_Ooption(X2),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X2),tc_fun(tc_Option_Ooption(X2),tc_HOL_Obool),X0),c_fequal),X4)),c_Option_Ooption_ONone(X2))))))
| hAPP(X4,X3) != hAPP(c_Option_Ooption_OSome(X2),X1) ),
inference(definition_unfolding,[],[f5519,f5514]) ).
fof(f5607,plain,
! [X2,X3,X1] : hBOOL(hAPP(hAPP(hAPP(c_Set_Oinsert(X3),X2),X1),X2)),
inference(equality_resolution,[],[f5501]) ).
fof(f5628,plain,
! [X2,X3,X0,X4] :
( hBOOL(hAPP(hAPP(c_member(X0),X3),hAPP(c_Set_OCollect(X0),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X0),c_fNot),hAPP(hAPP(c_COMBC(X0,tc_Option_Ooption(X2),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X2),tc_fun(tc_Option_Ooption(X2),tc_HOL_Obool),X0),c_fequal),X4)),c_Option_Ooption_ONone(X2))))))
| sP23(X4,X3,X2) ),
inference(cnf_transformation,[],[f5628_D]) ).
fof(f5628_D,definition,
! [X2,X3,X4] :
( ! [X0] : hBOOL(hAPP(hAPP(c_member(X0),X3),hAPP(c_Set_OCollect(X0),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X0),c_fNot),hAPP(hAPP(c_COMBC(X0,tc_Option_Ooption(X2),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X2),tc_fun(tc_Option_Ooption(X2),tc_HOL_Obool),X0),c_fequal),X4)),c_Option_Ooption_ONone(X2))))))
<=> ~ sP23(X4,X3,X2) ),
introduced(definition,[new_symbols(definition,[sP23])],[general_splitting_component_introduction]) ).
fof(f5629,plain,
! [X2,X3,X1,X4] :
( hAPP(X4,X3) != hAPP(c_Option_Ooption_OSome(X2),X1)
| ~ sP23(X4,X3,X2) ),
inference(general_splitting,[],[f5583,f5628_D]) ).
fof(f5633,plain,
! [X0] : ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pname)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pname)))),X0)),
inference(resolution,[],[f5574,f5404]) ).
fof(f5642,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pname)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pname)))),X0))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,X0) ),
inference(superposition,[],[f5633,f5470]) ).
fof(f5659,plain,
! [X0,X1] :
( hAPP(c_Option_Ooption_OSome(tc_Com_Ocom),v_y) != hAPP(c_Option_Ooption_OSome(X0),X1)
| ~ sP23(c_Com_Obody,v_pname,X0) ),
inference(superposition,[],[f5629,f5393]) ).
fof(f5670,plain,
! [X0] :
( ~ hBOOL(hAPP(X0,hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pname)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pname)))))
| ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,X0) ),
inference(resolution,[],[f5642,f5563]) ).
fof(f5685,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,X0)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,X0)))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| sP23(c_Com_Obody,X0,tc_Com_Ocom) ),
inference(resolution,[],[f5573,f5628]) ).
fof(f5724,plain,
! [X0,X1] : ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,v_G,hAPP(hAPP(c_Set_Oinsert(X0),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(tc_Com_Ostate),c_fequal),hAPP(c_Com_Ocom_OBODY,v_pname)),c_Natural_Oevalc(hAPP(c_Com_Ocom_OBODY,v_pname)))),X1)),
inference(resolution,[],[f5670,f5607]) ).
fof(f5757,plain,
~ sP23(c_Com_Obody,v_pname,tc_Com_Ocom),
inference(equality_resolution,[],[f5659]) ).
fof(f5802,plain,
sP23(c_Com_Obody,v_pname,tc_Com_Ocom),
inference(resolution,[],[f5685,f5724]) ).
fof(f5806,plain,
$false,
inference(forward_subsumption_resolution,[],[f5802,f5757]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWW353+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.08 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.27 % Computer : n006.cluster.edu
% 0.23/0.27 % Model : x86_64 x86_64
% 0.23/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.23/0.27 % Memory : 8046.5625MB
% 0.23/0.27 % OS : Linux 6.8.0-71-generic
% 0.23/0.27 % CPULimit : 300
% 0.23/0.27 % WCLimit : 300
% 0.23/0.27 % DateTime : Mon Sep 28 13:40:10 UTC 2026
% 0.23/0.28 % CPUTime :
% 0.23/0.28 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.23/0.32 Running first-order theorem proving
% 0.23/0.32 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
% 8.41/2.67 % (3970696)Detected formulas, will run a generic FOF schedule.
% 8.41/2.67 % (3970703)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=3582281387:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 8.41/2.67 % (3970706)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2329672049:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 8.41/2.67 % (3970704)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=3012909018:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 8.41/2.67 % (3970705)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=4126754118:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 8.41/2.67 % (3970709)dis-21_1_sil=8000:lcm=predicate:random_seed=54344086:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2994 on theBenchmark for (2994ds/129Mi)
% 8.41/2.67 % (3970707)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1256798858:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 8.41/2.67 % (3970708)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2862786471:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 8.41/2.67 % (3970706)First to succeed.
% 8.41/2.67 % (3970706)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3970696"
% 8.41/2.67 % (3970708)Instruction limit reached!
% 8.41/2.67 % (3970708)------------------------------
% 8.41/2.67 % (3970708)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.41/2.67 % (3970708)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.41/2.67 % (3970708)CaDiCaL version: 2.1.3
% 8.41/2.67 % (3970708)Termination reason: Instruction limit
% 8.41/2.67 % (3970708)Termination phase: SInE selection
% 8.41/2.67 % (3970708)Time elapsed: 0.111 s
% 8.41/2.67 % (3970708)Peak memory usage: 90 MB
% 8.41/2.67 % (3970708)Instructions burned: 139 (million)
% 8.41/2.67 % (3970707)Instruction limit reached!
% 8.41/2.67 % (3970707)------------------------------
% 8.41/2.67 % (3970707)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.41/2.67 % (3970707)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.41/2.67 % (3970707)CaDiCaL version: 2.1.3
% 8.41/2.67 % (3970707)Termination reason: Instruction limit
% 8.41/2.67 % (3970707)Termination phase: Property scanning
% 8.41/2.67 % (3970707)Time elapsed: 0.117 s
% 8.41/2.67 % (3970707)Peak memory usage: 93 MB
% 8.41/2.67 % (3970707)Instructions burned: 120 (million)
% 8.41/2.67 % (3970709)Instruction limit reached!
% 8.41/2.67 % (3970709)------------------------------
% 8.41/2.67 % (3970709)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.41/2.67 % (3970709)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.41/2.67 % (3970709)CaDiCaL version: 2.1.3
% 8.41/2.67 % (3970709)Termination reason: Instruction limit
% 8.41/2.67 % (3970709)Termination phase: Preprocessing 3
% 8.41/2.67 % (3970709)Time elapsed: 0.133 s
% 8.41/2.67 % (3970709)Peak memory usage: 93 MB
% 8.41/2.67 % (3970709)Instructions burned: 130 (million)
% 8.41/2.67 % (3970717)lrs+10_1_sil=8000:sp=occurrence:random_seed=1105437580:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 8.41/2.67 % (3970718)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1841402603:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 8.41/2.67 % (3970719)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1975458362:i=325:sd=1:ss=axioms:sgt=32_2990 on theBenchmark for (2990ds/325Mi)
% 8.41/2.67 % (3970718)Instruction limit reached!
% 8.41/2.67 % (3970718)------------------------------
% 8.41/2.67 % (3970718)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.41/2.67 % (3970718)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.41/2.67 % (3970718)CaDiCaL version: 2.1.3
% 8.41/2.67 % (3970718)Termination reason: Instruction limit
% 8.41/2.67 % (3970718)Termination phase: Preprocessing 3
% 8.41/2.67 % (3970718)Time elapsed: 0.132 s
% 8.41/2.67 % (3970718)Peak memory usage: 91 MB
% 8.41/2.67 % (3970718)Instructions burned: 157 (million)
% 8.41/2.67 % (3970717)Instruction limit reached!
% 8.41/2.67 % (3970717)------------------------------
% 8.41/2.67 % (3970717)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.41/2.67 % (3970717)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.41/2.67 % (3970717)CaDiCaL version: 2.1.3
% 8.41/2.67 % (3970717)Termination reason: Instruction limit
% 8.41/2.67 % (3970717)Termination phase: Saturation
% 8.41/2.67 % (3970717)Time elapsed: 0.254 s
% 8.41/2.67 % (3970717)Peak memory usage: 96 MB
% 8.41/2.67 % (3970717)Instructions burned: 285 (million)
% 8.41/2.67 % (3970719)Instruction limit reached!
% 8.41/2.67 % (3970719)------------------------------
% 8.41/2.67 % (3970719)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.41/2.67 % (3970719)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.41/2.67 % (3970719)CaDiCaL version: 2.1.3
% 8.41/2.67 % (3970719)Termination reason: Instruction limit
% 8.41/2.67 % (3970719)Termination phase: Saturation
% 8.41/2.67 % (3970719)Time elapsed: 0.290 s
% 8.41/2.67 % (3970719)Peak memory usage: 96 MB
% 8.41/2.67 % (3970719)Instructions burned: 325 (million)
% 8.41/2.67 % (3970723)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=3770063626:s2a=on:i=248:s2at=1.23:gtg=position_2986 on theBenchmark for (2986ds/248Mi)
% 8.41/2.67 % (3970724)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2022226978:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2985 on theBenchmark for (2985ds/294Mi)
% 8.41/2.67 % (3970725)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=116838067:i=2350_2985 on theBenchmark for (2985ds/2350Mi)
% 8.41/2.67 % (3970706)Refutation found. Thanks to Tanya!
% 8.41/2.67 % SZS status Theorem for theBenchmark
% 8.41/2.67 % SZS output start Proof for theBenchmark
% See solution above
% 9.95/2.89 % (3970706)------------------------------
% 9.95/2.89 % (3970706)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.95/2.89 % (3970706)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.95/2.89 % (3970706)CaDiCaL version: 2.1.3
% 9.95/2.89 % (3970706)Termination reason: Refutation
% 9.95/2.89 % (3970706)Time elapsed: 0.088 s
% 9.95/2.89 % (3970706)Peak memory usage: 95 MB
% 9.95/2.89 % (3970706)Instructions burned: 88 (million)
% 9.95/2.89 % (3970706)------------------------------
% 9.95/2.89 % (3970706)------------------------------
% 9.95/2.89 % (3970696)Success in time 1.82 s
% 9.95/2.89 % Vampire exiting
%------------------------------------------------------------------------------