%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW336+1 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 01:30:08 PM UTC 2026
% Result : Theorem 3.66s 2.40s
% Output : Refutation 6.76s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 7
% Syntax : Number of formulae : 58 ( 10 unt; 2 def)
% Number of atoms : 159 ( 13 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 157 ( 56 ~; 59 |; 16 &)
% ( 3 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-2 aty)
% Number of variables : 95 ( 0 sgn 87 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f35,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)))
=> ( X2 != X1
=> hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_insertE) ).
fof(f126,axiom,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)))
<=> ( X2 = X1
| hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_insert__iff) ).
fof(f5225,axiom,
! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
=> ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f5227,axiom,
! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
=> ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_3) ).
fof(f5228,conjecture,
! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
=> ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_4) ).
fof(f5229,negated_conjecture,
~ ! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
=> ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ) ),
inference(negated_conjecture,[status(cth)],[f5228]) ).
fof(f5230,plain,
! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
inference(rectify,[],[f5225]) ).
fof(f5231,plain,
! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
inference(rectify,[],[f5227]) ).
fof(f5232,plain,
~ ! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) )
=> ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
inference(rectify,[],[f5229]) ).
fof(f5234,plain,
! [X0] :
( ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) )
| ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ) ),
inference(ennf_transformation,[],[f5230]) ).
fof(f5235,plain,
! [X0] :
( ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts)) )
| ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ) ),
inference(ennf_transformation,[],[f5231]) ).
fof(f5236,plain,
? [X0] :
( ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))) )
& ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G)) ) ),
inference(ennf_transformation,[],[f5232]) ).
fof(f5275,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0))) ),
inference(ennf_transformation,[],[f35]) ).
fof(f5276,plain,
! [X0,X1,X2,X3] :
( hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
| X1 = X2
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0))) ),
inference(flattening,[],[f5275]) ).
fof(f5299,plain,
! [X0] :
( ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) )
| ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
inference(rectify,[],[f5234]) ).
fof(f5300,plain,
! [X0] :
( ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))) )
| ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK1(X0))
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(X0)),v_G)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X2,sK1(X0))],[f5299]) ).
fof(f5301,plain,
! [X0] :
( ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
| ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
inference(rectify,[],[f5235]) ).
fof(f5302,plain,
! [X0] :
( ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts)) )
| ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2(X0))
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK2(X0)),v_G)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X2,sK2(X0))],[f5301]) ).
fof(f5303,plain,
? [X0] :
( ? [X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))) )
& ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
inference(rectify,[],[f5236]) ).
fof(f5304,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK4)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK4),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts)))
& ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4]),skolemize(X0,sK3),skolemize(X1,sK4)],[f5303]) ).
fof(f5327,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)))
| ( X1 != X2
& ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ) )
& ( X2 = X1
| hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0))) ) ),
inference(nnf_transformation,[],[f126]) ).
fof(f5328,plain,
! [X0,X1,X2,X3] :
( ( hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)))
| ( X1 != X2
& ~ hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ) )
& ( X2 = X1
| hBOOL(hAPP(hAPP(c_member(X3),X2),X0))
| ~ hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0))) ) ),
inference(flattening,[],[f5327]) ).
fof(f5345,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(X0)),v_G)) ),
inference(cnf_transformation,[],[f5300]) ).
fof(f5346,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool)))))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK1(X0)) ),
inference(cnf_transformation,[],[f5300]) ).
fof(f5348,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK2(X0)),v_G))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ),
inference(cnf_transformation,[],[f5302]) ).
fof(f5349,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_ts))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2(X0)) ),
inference(cnf_transformation,[],[f5302]) ).
fof(f5350,plain,
! [X2] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,X2) ),
inference(cnf_transformation,[],[f5304]) ).
fof(f5351,plain,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK4),hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),v_t),v_ts))),
inference(cnf_transformation,[],[f5304]) ).
fof(f5352,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK4),
inference(cnf_transformation,[],[f5304]) ).
fof(f5423,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)))
| X1 != X2 ),
inference(cnf_transformation,[],[f5328]) ).
fof(f5444,plain,
! [X2,X3,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X1),X0)))
| X1 = X2
| hBOOL(hAPP(hAPP(c_member(X3),X2),X0)) ),
inference(cnf_transformation,[],[f5276]) ).
fof(f5489,plain,
! [X2,X3,X0] : hBOOL(hAPP(hAPP(c_member(X3),X2),hAPP(hAPP(c_Set_Oinsert(X3),X2),X0))),
inference(equality_resolution,[],[f5423]) ).
fof(f5541,plain,
( v_t = sK4
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK4),v_ts)) ),
inference(resolution,[],[f5351,f5444]) ).
fof(f5552,definition,
( spl18_7
<=> hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK4),v_ts)) ),
introduced(definition,[new_symbols(definition,[spl18_7])],[avatar_definition]) ).
fof(f5554,plain,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK4),v_ts))
| ~ spl18_7 ),
inference(avatar_component_clause,[],[f5552]) ).
fof(f5557,definition,
( spl18_8
<=> v_t = sK4 ),
introduced(definition,[new_symbols(definition,[spl18_8])],[avatar_definition]) ).
fof(f5559,plain,
( v_t = sK4
| ~ spl18_8 ),
inference(avatar_component_clause,[],[f5557]) ).
fof(f5561,plain,
( spl18_7
| spl18_8 ),
inference(avatar_split_clause,[],[f5541,f5557,f5552]) ).
fof(f5608,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_ts))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X0)
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK2(X1)) ),
inference(resolution,[],[f5348,f5350]) ).
fof(f5623,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK1(X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,v_t) ),
inference(resolution,[],[f5346,f5489]) ).
fof(f5647,plain,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(X0)),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,v_t) ),
inference(resolution,[],[f5345,f5489]) ).
fof(f5680,plain,
( ! [X0] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK2(X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK4) )
| ~ spl18_7 ),
inference(resolution,[],[f5554,f5349]) ).
fof(f5772,plain,
( ! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK2(X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK4) )
| ~ spl18_7 ),
inference(resolution,[],[f5608,f5554]) ).
fof(f5807,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK4)
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK4)
| ~ spl18_7 ),
inference(resolution,[],[f5772,f5680]) ).
fof(f5808,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK4)
| ~ spl18_7 ),
inference(duplicate_literal_removal,[],[f5807]) ).
fof(f5809,plain,
( $false
| ~ spl18_7 ),
inference(forward_subsumption_resolution,[],[f5808,f5352]) ).
fof(f5810,plain,
~ spl18_7,
inference(avatar_contradiction_clause,[],[f5809]) ).
fof(f5812,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,v_t)
| ~ spl18_8 ),
inference(superposition,[],[f5352,f5559]) ).
fof(f5865,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,sK1(X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,v_t) ),
inference(resolution,[],[f5647,f5350]) ).
fof(f5869,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,v_t)
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,v_t) ),
inference(resolution,[],[f5865,f5623]) ).
fof(f5870,plain,
c_Hoare__Mirabelle_Otriple__valid(t_a,sK3,v_t),
inference(duplicate_literal_removal,[],[f5869]) ).
fof(f5871,plain,
( $false
| ~ spl18_8 ),
inference(forward_subsumption_resolution,[],[f5870,f5812]) ).
fof(f5872,plain,
~ spl18_8,
inference(avatar_contradiction_clause,[],[f5871]) ).
cnf(s7,plain,
( spl18_7
| spl18_8 ),
inference(sat_conversion,[],[f5561]) ).
cnf(s13,plain,
~ spl18_7,
inference(sat_conversion,[],[f5810]) ).
cnf(s19,plain,
~ spl18_8,
inference(sat_conversion,[],[f5872]) ).
cnf(s20,plain,
$false,
inference(rat,[],[s7,s19,s13]) ).
fof(f5873,plain,
$false,
inference(avatar_sat_refutation,[],[s20]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW336+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.10 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.27/0.32 % Computer : n011.cluster.edu
% 0.27/0.32 % Model : x86_64 x86_64
% 0.27/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.27/0.32 % Memory : 8046.5625MB
% 0.27/0.32 % OS : Linux 6.8.0-71-generic
% 0.27/0.32 % CPULimit : 300
% 0.27/0.32 % WCLimit : 300
% 0.27/0.32 % DateTime : Mon Sep 28 13:38:15 UTC 2026
% 0.27/0.32 % CPUTime :
% 0.27/0.32 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.36/0.39 Running first-order theorem proving
% 0.36/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.66/2.40 % (3385319)Detected formulas, will run a generic FOF schedule.
% 3.66/2.40 % (3385330)dis-21_1_sil=8000:lcm=predicate:random_seed=3518835382: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)
% 3.66/2.40 % (3385324)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=4088420049:i=141193_2994 on theBenchmark for (2994ds/141193Mi)
% 3.66/2.40 % (3385328)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1483998731:i=119:av=off:ss=axioms_2994 on theBenchmark for (2994ds/119Mi)
% 3.66/2.40 % (3385329)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2802628585:s2a=on:i=139:gtg=position_2994 on theBenchmark for (2994ds/139Mi)
% 3.66/2.40 % (3385325)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=3635454181:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2994 on theBenchmark for (2994ds/134677Mi)
% 3.66/2.40 % (3385327)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2805750904:i=109:sd=1:ins=1:gsp=on:ss=axioms_2994 on theBenchmark for (2994ds/109Mi)
% 3.66/2.40 % (3385326)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=3227936241:i=141695:sd=1:nm=32:gsp=on:ss=included_2994 on theBenchmark for (2994ds/141695Mi)
% 3.66/2.40 % (3385330)Instruction limit reached!
% 3.66/2.40 % (3385330)------------------------------
% 3.66/2.40 % (3385330)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/2.40 % (3385330)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/2.40 % (3385330)CaDiCaL version: 2.1.3
% 3.66/2.40 % (3385330)Termination reason: Instruction limit
% 3.66/2.40 % (3385330)Termination phase: Preprocessing 3
% 3.66/2.40 % (3385330)Time elapsed: 0.136 s
% 3.66/2.40 % (3385330)Peak memory usage: 93 MB
% 3.66/2.40 % (3385330)Instructions burned: 129 (million)
% 3.66/2.40 % (3385327)First to succeed.
% 3.66/2.40 % (3385327)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3385319"
% 3.66/2.40 % (3385329)Instruction limit reached!
% 3.66/2.40 % (3385329)------------------------------
% 3.66/2.40 % (3385329)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/2.40 % (3385329)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/2.40 % (3385329)CaDiCaL version: 2.1.3
% 3.66/2.40 % (3385329)Termination reason: Instruction limit
% 3.66/2.40 % (3385329)Termination phase: SInE selection
% 3.66/2.40 % (3385329)Time elapsed: 0.110 s
% 3.66/2.40 % (3385329)Peak memory usage: 90 MB
% 3.66/2.40 % (3385329)Instructions burned: 139 (million)
% 3.66/2.40 % (3385328)Instruction limit reached!
% 3.66/2.40 % (3385328)------------------------------
% 3.66/2.40 % (3385328)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/2.40 % (3385328)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/2.40 % (3385328)CaDiCaL version: 2.1.3
% 3.66/2.40 % (3385328)Termination reason: Instruction limit
% 3.66/2.40 % (3385328)Termination phase: Saturation
% 3.66/2.40 % (3385328)Time elapsed: 0.119 s
% 3.66/2.40 % (3385328)Peak memory usage: 94 MB
% 3.66/2.40 % (3385328)Instructions burned: 119 (million)
% 3.66/2.40 % (3385340)lrs+1011_1_sil=32000:sp=occurrence:random_seed=145684183:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 3.66/2.40 % (3385338)lrs+10_1_sil=8000:sp=occurrence:random_seed=3727457396:i=285:sd=3:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/285Mi)
% 3.66/2.40 % (3385339)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3193443817:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2991 on theBenchmark for (2991ds/157Mi)
% 3.66/2.40 % (3385340)Also succeeded, but the first one will report.
% 3.66/2.40 % (3385339)Instruction limit reached!
% 3.66/2.40 % (3385339)------------------------------
% 3.66/2.40 % (3385339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/2.40 % (3385339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/2.40 % (3385339)CaDiCaL version: 2.1.3
% 3.66/2.40 % (3385339)Termination reason: Instruction limit
% 3.66/2.40 % (3385339)Termination phase: Property scanning
% 3.66/2.40 % (3385339)Time elapsed: 0.136 s
% 3.66/2.40 % (3385339)Peak memory usage: 92 MB
% 3.66/2.40 % (3385339)Instructions burned: 158 (million)
% 3.66/2.40 % (3385327)Refutation found. Thanks to Tanya!
% 3.66/2.40 % SZS status Theorem for theBenchmark
% 3.66/2.40 % SZS output start Proof for theBenchmark
% See solution above
% 6.76/2.61 % (3385327)------------------------------
% 6.76/2.61 % (3385327)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.76/2.61 % (3385327)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.76/2.61 % (3385327)CaDiCaL version: 2.1.3
% 6.76/2.61 % (3385327)Termination reason: Refutation
% 6.76/2.61 % (3385327)Time elapsed: 0.076 s
% 6.76/2.61 % (3385327)Peak memory usage: 96 MB
% 6.76/2.61 % (3385327)Instructions burned: 71 (million)
% 6.76/2.61 % (3385327)------------------------------
% 6.76/2.61 % (3385327)------------------------------
% 6.76/2.61 % (3385319)Success in time 1.245 s
% 6.76/2.61 % Vampire exiting
%------------------------------------------------------------------------------