TSTP Solution File: SWW385+1 by Vampire---4.9
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%------------------------------------------------------------------------------
% File : Vampire---4.9
% Problem : SWW385+1 : TPTP v8.2.0. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire %s %d THM
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 18:32:17 EDT 2024
% Result : Theorem 1.06s 0.94s
% Output : Refutation 1.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 14
% Syntax : Number of formulae : 54 ( 15 unt; 0 def)
% Number of atoms : 112 ( 17 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 101 ( 43 ~; 33 |; 5 &)
% ( 8 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 11 ( 2 avg)
% Number of predicates : 12 ( 10 usr; 9 prp; 0-3 aty)
% Number of functors : 23 ( 23 usr; 11 con; 0-3 aty)
% Number of variables : 43 ( 41 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5978,plain,
$false,
inference(avatar_sat_refutation,[],[f5784,f5789,f5794,f5799,f5855,f5963,f5977]) ).
fof(f5977,plain,
( spl20_10
| spl20_22 ),
inference(avatar_contradiction_clause,[],[f5976]) ).
fof(f5976,plain,
( $false
| spl20_10
| spl20_22 ),
inference(subsumption_resolution,[],[f5964,f5962]) ).
fof(f5962,plain,
( c_Option_Ooption_ONone(tc_Com_Ocom) != hAPP(c_Com_Obody,sK0)
| spl20_22 ),
inference(avatar_component_clause,[],[f5960]) ).
fof(f5960,plain,
( spl20_22
<=> c_Option_Ooption_ONone(tc_Com_Ocom) = hAPP(c_Com_Obody,sK0) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_22])]) ).
fof(f5964,plain,
( c_Option_Ooption_ONone(tc_Com_Ocom) = hAPP(c_Com_Obody,sK0)
| spl20_10 ),
inference(unit_resulting_resolution,[],[f5854,f5692]) ).
fof(f5692,plain,
! [X0] :
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0)))
| c_Option_Ooption_ONone(tc_Com_Ocom) = hAPP(c_Com_Obody,X0) ),
inference(cnf_transformation,[],[f5436]) ).
fof(f5436,plain,
! [X0] :
( hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0)))
| c_Option_Ooption_ONone(tc_Com_Ocom) = hAPP(c_Com_Obody,X0) ),
inference(ennf_transformation,[],[f5334]) ).
fof(f5334,plain,
! [X0] :
( c_Option_Ooption_ONone(tc_Com_Ocom) != hAPP(c_Com_Obody,X0)
=> hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X0))) ),
inference(rectify,[],[f34]) ).
fof(f34,axiom,
! [X36] :
( hAPP(c_Com_Obody,X36) != c_Option_Ooption_ONone(tc_Com_Ocom)
=> hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,X36))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5854,plain,
( ~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,sK0)))
| spl20_10 ),
inference(avatar_component_clause,[],[f5852]) ).
fof(f5852,plain,
( spl20_10
<=> hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,sK0))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_10])]) ).
fof(f5963,plain,
( ~ spl20_22
| ~ spl20_2 ),
inference(avatar_split_clause,[],[f5856,f5786,f5960]) ).
fof(f5786,plain,
( spl20_2
<=> hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK0),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)))))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_2])]) ).
fof(f5856,plain,
( c_Option_Ooption_ONone(tc_Com_Ocom) != hAPP(c_Com_Obody,sK0)
| ~ spl20_2 ),
inference(unit_resulting_resolution,[],[f5788,f5739]) ).
fof(f5739,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(c_Set_OCollect(X3),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X3),c_fNot),hAPP(hAPP(c_COMBC(X3,tc_Option_Ooption(X1),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X1),tc_fun(tc_Option_Ooption(X1),tc_HOL_Obool),X3),c_fequal),X0)),c_Option_Ooption_ONone(X1))))))
| hAPP(X0,X2) != c_Option_Ooption_ONone(X1) ),
inference(definition_unfolding,[],[f5700,f5706]) ).
fof(f5706,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,[],[f5344]) ).
fof(f5344,plain,
! [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)))),
inference(rectify,[],[f3430]) ).
fof(f3430,axiom,
! [X93,X15,X4] : c_Map_Odom(X4,X15,X93) = hAPP(c_Set_OCollect(X4),hAPP(hAPP(c_COMBB(tc_HOL_Obool,tc_HOL_Obool,X4),c_fNot),hAPP(hAPP(c_COMBC(X4,tc_Option_Ooption(X15),tc_HOL_Obool),hAPP(hAPP(c_COMBB(tc_Option_Ooption(X15),tc_fun(tc_Option_Ooption(X15),tc_HOL_Obool),X4),c_fequal),X93)),c_Option_Ooption_ONone(X15)))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5700,plain,
! [X2,X3,X0,X1] :
( hAPP(X0,X2) != c_Option_Ooption_ONone(X1)
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),c_Map_Odom(X3,X1,X0))) ),
inference(cnf_transformation,[],[f5522]) ).
fof(f5522,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(c_member(X3),X2),c_Map_Odom(X3,X1,X0)))
| hAPP(X0,X2) = c_Option_Ooption_ONone(X1) )
& ( hAPP(X0,X2) != c_Option_Ooption_ONone(X1)
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),c_Map_Odom(X3,X1,X0))) ) ),
inference(nnf_transformation,[],[f5340]) ).
fof(f5340,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_member(X3),X2),c_Map_Odom(X3,X1,X0)))
<=> hAPP(X0,X2) != c_Option_Ooption_ONone(X1) ),
inference(rectify,[],[f234]) ).
fof(f234,axiom,
! [X93,X15,X5,X4] :
( hBOOL(hAPP(hAPP(c_member(X4),X5),c_Map_Odom(X4,X15,X93)))
<=> c_Option_Ooption_ONone(X15) != hAPP(X93,X5) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5788,plain,
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK0),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))))))
| ~ spl20_2 ),
inference(avatar_component_clause,[],[f5786]) ).
fof(f5855,plain,
( ~ spl20_10
| spl20_1
| ~ spl20_3
| ~ spl20_4 ),
inference(avatar_split_clause,[],[f5820,f5796,f5791,f5781,f5852]) ).
fof(f5781,plain,
( spl20_1
<=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,sK0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
introduced(avatar_definition,[new_symbols(naming,[spl20_1])]) ).
fof(f5791,plain,
( spl20_3
<=> c_Com_OWT__bodies ),
introduced(avatar_definition,[new_symbols(naming,[spl20_3])]) ).
fof(f5796,plain,
( spl20_4
<=> c_Hoare__Mirabelle_Ostate__not__singleton ),
introduced(avatar_definition,[new_symbols(naming,[spl20_4])]) ).
fof(f5820,plain,
( ~ hBOOL(hAPP(c_Com_OWT,hAPP(c_Com_Ocom_OBODY,sK0)))
| spl20_1
| ~ spl20_3
| ~ spl20_4 ),
inference(unit_resulting_resolution,[],[f5798,f5793,f5783,f5715]) ).
fof(f5715,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,X0))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(cnf_transformation,[],[f5450]) ).
fof(f5450,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,X0))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(flattening,[],[f5449]) ).
fof(f5449,plain,
! [X0] :
( c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| ~ hBOOL(hAPP(c_Com_OWT,X0))
| ~ c_Com_OWT__bodies
| ~ c_Hoare__Mirabelle_Ostate__not__singleton ),
inference(ennf_transformation,[],[f5352]) ).
fof(f5352,plain,
! [X0] :
( c_Hoare__Mirabelle_Ostate__not__singleton
=> ( c_Com_OWT__bodies
=> ( hBOOL(hAPP(c_Com_OWT,X0))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X0)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ),
inference(rectify,[],[f4]) ).
fof(f4,axiom,
! [X6] :
( c_Hoare__Mirabelle_Ostate__not__singleton
=> ( c_Com_OWT__bodies
=> ( hBOOL(hAPP(c_Com_OWT,X6))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,X6)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5783,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,sK0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool))))
| spl20_1 ),
inference(avatar_component_clause,[],[f5781]) ).
fof(f5793,plain,
( c_Com_OWT__bodies
| ~ spl20_3 ),
inference(avatar_component_clause,[],[f5791]) ).
fof(f5798,plain,
( c_Hoare__Mirabelle_Ostate__not__singleton
| ~ spl20_4 ),
inference(avatar_component_clause,[],[f5796]) ).
fof(f5799,plain,
spl20_4,
inference(avatar_split_clause,[],[f5535,f5796]) ).
fof(f5535,plain,
c_Hoare__Mirabelle_Ostate__not__singleton,
inference(cnf_transformation,[],[f5240]) ).
fof(f5240,axiom,
c_Hoare__Mirabelle_Ostate__not__singleton,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5794,plain,
spl20_3,
inference(avatar_split_clause,[],[f5534,f5791]) ).
fof(f5534,plain,
c_Com_OWT__bodies,
inference(cnf_transformation,[],[f5241]) ).
fof(f5241,axiom,
c_Com_OWT__bodies,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5789,plain,
spl20_2,
inference(avatar_split_clause,[],[f5729,f5786]) ).
fof(f5729,plain,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK0),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)))))),
inference(definition_unfolding,[],[f5532,f5706]) ).
fof(f5532,plain,
hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),sK0),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))),
inference(cnf_transformation,[],[f5461]) ).
fof(f5461,plain,
( ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,sK0))),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),sK0),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK0])],[f5362,f5460]) ).
fof(f5460,plain,
( ? [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(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))) )
=> ( ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,sK0))),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),sK0),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody))) ) ),
introduced(choice_axiom,[]) ).
fof(f5362,plain,
? [X0] :
( ~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(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,[],[f5245]) ).
fof(f5245,plain,
~ ! [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,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(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)))) ),
inference(rectify,[],[f5244]) ).
fof(f5244,negated_conjecture,
~ ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X2),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
inference(negated_conjecture,[],[f5243]) ).
fof(f5243,conjecture,
! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Com_Opname),X2),c_Map_Odom(tc_Com_Opname,tc_Com_Ocom,c_Com_Obody)))
=> c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,X2))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unknown) ).
fof(f5784,plain,
~ spl20_1,
inference(avatar_split_clause,[],[f5533,f5781]) ).
fof(f5533,plain,
~ c_Hoare__Mirabelle_Ohoare__derivs(tc_Com_Ostate,c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate)),hAPP(c_Hoare__Mirabelle_OMGT,hAPP(c_Com_Ocom_OBODY,sK0))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(tc_Com_Ostate),tc_HOL_Obool)))),
inference(cnf_transformation,[],[f5461]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : SWW385+1 : TPTP v8.2.0. Released v5.2.0.
% 0.06/0.12 % Command : run_vampire %s %d THM
% 0.12/0.33 % Computer : n023.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Wed Jun 19 07:15:24 EDT 2024
% 0.12/0.33 % CPUTime :
% 0.12/0.35 This is a FOF_THM_RFO_SEQ problem
% 0.12/0.36 Running first-order theorem proving
% 0.12/0.36 Running /export/starexec/sandbox/solver/bin/vampire --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.50/0.71 % (12743)Running in auto input_syntax mode. Trying TPTP
% 0.50/0.71 % (12751)lrs+1002_1:1_to=lpo:sil=2000:sp=frequency:sos=on:st=3.0:i=282:sd=2:ss=axioms_0 on theBenchmark for (2999ds/282Mi)
% 0.50/0.73 % (12743)Running in auto input_syntax mode. Trying TPTP
% 0.50/0.73 % (12745)lrs+10_1:628_anc=all_dependent:bsr=unit_only:sil=256000:sp=frequency:i=136310:newcnf=on_0 on theBenchmark for (2999ds/136310Mi)
% 0.50/0.74 % (12743)Running in auto input_syntax mode. Trying TPTP
% 0.50/0.74 % (12747)lrs+11_1:12_to=lpo:sil=128000:sp=const_min:i=103397:ss=included:sgt=16:av=off:fsd=on:nm=16_0 on theBenchmark for (2999ds/103397Mi)
% 0.50/0.74 % (12743)Running in auto input_syntax mode. Trying TPTP
% 0.50/0.74 % (12748)dis+2_1:50_sil=256000:flr=on:sac=on:i=218245:fsr=off:uhcvi=on_0 on theBenchmark for (2999ds/218245Mi)
% 0.50/0.74 % (12743)Running in auto input_syntax mode. Trying TPTP
% 0.50/0.74 % (12750)lrs-1011_8:1_sil=16000:sos=all:i=346:sd=1:ep=R:ss=axioms_0 on theBenchmark for (2999ds/346Mi)
% 0.50/0.74 % (12743)Running in auto input_syntax mode. Trying TPTP
% 0.50/0.74 % (12749)lrs-1010_1:1_sil=2000:i=250:sd=1:ss=axioms:sgt=32:sos=on_0 on theBenchmark for (2999ds/250Mi)
% 0.50/0.74 % (12743)Running in auto input_syntax mode. Trying TPTP
% 0.50/0.74 % (12746)lrs+2_3:1_to=lpo:sil=256000:irw=on:fde=unused:sp=unary_first:bce=on:nwc=6.0:s2agt=30:newcnf=on:s2a=on:i=140573:nm=2_0 on theBenchmark for (2999ds/140573Mi)
% 0.50/0.79 % (12751)Instruction limit reached!
% 0.50/0.79 % (12751)------------------------------
% 0.50/0.79 % (12751)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.50/0.79 % (12751)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.50/0.79 % (12751)Termination reason: Time limit
% 0.50/0.79 % (12751)Termination phase: Saturation
% 0.50/0.79
% 0.50/0.79 % (12751)Memory used [KB]: 8992
% 0.50/0.79 % (12751)Time elapsed: 0.081 s
% 0.50/0.79 % (12751)Instructions burned: 284 (million)
% 0.60/0.83 % (12743)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.83 % (12752)lrs+1010_1:1_sil=8000:sp=occurrence:urr=on:br=off:st=1.2:i=125:sd=7:ss=axioms:sgt=16_0 on theBenchmark for (2998ds/125Mi)
% 0.60/0.85 % (12749)Instruction limit reached!
% 0.60/0.85 % (12749)------------------------------
% 0.60/0.85 % (12749)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.60/0.85 % (12749)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.60/0.85 % (12749)Termination reason: Time limit
% 0.60/0.85 % (12749)Termination phase: Saturation
% 0.60/0.85
% 0.60/0.85 % (12749)Memory used [KB]: 8548
% 0.60/0.85 % (12749)Time elapsed: 0.120 s
% 0.60/0.85 % (12749)Instructions burned: 252 (million)
% 0.60/0.87 % (12752)Instruction limit reached!
% 0.60/0.87 % (12752)------------------------------
% 0.60/0.87 % (12752)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.60/0.87 % (12752)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.60/0.87 % (12752)Termination reason: Time limit
% 0.60/0.87 % (12752)Termination phase: Preprocessing 3
% 0.60/0.87
% 0.60/0.87 % (12752)Memory used [KB]: 9052
% 0.60/0.87 % (12752)Time elapsed: 0.044 s
% 0.60/0.87 % (12752)Instructions burned: 126 (million)
% 0.60/0.88 % (12750)Instruction limit reached!
% 0.60/0.88 % (12750)------------------------------
% 0.60/0.88 % (12750)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 0.60/0.88 % (12750)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 0.60/0.88 % (12750)Termination reason: Time limit
% 0.60/0.88 % (12750)Termination phase: Saturation
% 0.60/0.88
% 0.60/0.88 % (12750)Memory used [KB]: 7820
% 0.60/0.88 % (12750)Time elapsed: 0.147 s
% 0.60/0.88 % (12750)Instructions burned: 348 (million)
% 0.60/0.89 % (12743)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.89 % (12753)lrs+1010_1:1_to=lpo:sil=2000:sos=on:fd=off:i=402:bd=off_0 on theBenchmark for (2997ds/402Mi)
% 0.60/0.91 % (12743)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.91 % (12754)lrs+2_5:1_sil=2000:sos=on:acc=on:urr=on:alpa=false:i=325:sd=1:bd=off:nm=32:ss=axioms:br=off:sup=off:bs=on_0 on theBenchmark for (2997ds/325Mi)
% 0.60/0.92 % (12743)Running in auto input_syntax mode. Trying TPTP
% 0.60/0.92 % (12755)lrs+1011_1:1_to=lpo:drc=encompass:sil=4000:plsq=on:plsqr=32,1:sp=occurrence:sos=on:erd=off:urr=on:lsd=100:i=267:sd=1:nm=2:ss=axioms:flr=on:sup=off_0 on theBenchmark for (2997ds/267Mi)
% 1.06/0.94 % (12754)First to succeed.
% 1.06/0.94 % (12754)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-12743"
% 1.06/0.94 % (12743)Running in auto input_syntax mode. Trying TPTP
% 1.06/0.94 % (12754)Refutation found. Thanks to Tanya!
% 1.06/0.94 % SZS status Theorem for theBenchmark
% 1.06/0.94 % SZS output start Proof for theBenchmark
% See solution above
% 1.06/0.94 % (12754)------------------------------
% 1.06/0.94 % (12754)Version: Vampire 4.9 (commit 18c118a85 on 2024-06-08 21:14:20 +0100)
% 1.06/0.94 % (12754)Linked with Z3 4.12.3.0 79bbbf76d0c123481c8ca05cd3a98939270074d3 z3-4.8.4-7980-g79bbbf76d
% 1.06/0.94 % (12754)Termination reason: Refutation
% 1.06/0.94
% 1.06/0.94 % (12754)Memory used [KB]: 6510
% 1.06/0.94 % (12754)Time elapsed: 0.028 s
% 1.06/0.94 % (12754)Instructions burned: 77 (million)
% 1.06/0.94 % (12754)------------------------------
% 1.06/0.94 % (12754)------------------------------
% 1.06/0.94 % (12743)Success in time 0.292 s
%------------------------------------------------------------------------------