%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW341+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 : n002.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 01:30:09 PM UTC 2026
% Result : Theorem 3.36s 1.10s
% Output : Refutation 3.94s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 69 ( 11 unt; 6 def)
% Number of atoms : 210 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 235 ( 94 ~; 94 |; 21 &)
% ( 7 <=>; 19 =>; 0 <=; 0 <~>)
% Maximal formula depth : 16 ( 6 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 13 ( 12 usr; 5 prp; 0-4 aty)
% Number of functors : 19 ( 19 usr; 8 con; 0-3 aty)
% Number of variables : 149 ( 0 sgn 134 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f47,axiom,
! [X0,X1,X2] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
<=> hBOOL(hAPP(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',fact_mem__def) ).
fof(f5224,axiom,
! [X0,X1] :
( v_P(X0,X1)
=> ? [X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& ! [X4] :
( ! [X5] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X5),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X4,X5) )
=> ! [X6,X7] :
( hBOOL(hAPP(hAPP(X2,X6),X7))
=> ! [X8] :
( c_Natural_Oevaln(v_c,X7,X4,X8)
=> hBOOL(hAPP(hAPP(X3,X6),X8)) ) ) )
& ! [X8] :
( ! [X9] :
( hBOOL(hAPP(hAPP(X2,X9),X1))
=> hBOOL(hAPP(hAPP(X3,X9),X8)) )
=> v_Q(X0,X8) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_0) ).
fof(f5225,axiom,
! [X0] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f5226,conjecture,
! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(v_c,X1,v_n,X2)
=> v_Q(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(f5227,negated_conjecture,
~ ! [X0,X1] :
( v_P(X0,X1)
=> ! [X2] :
( c_Natural_Oevaln(v_c,X1,v_n,X2)
=> v_Q(X0,X2) ) ),
inference(negated_conjecture,[status(cth)],[f5226]) ).
fof(f5228,plain,
! [X0,X1] :
( v_P(X0,X1)
=> ? [X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& ! [X4] :
( ! [X5] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X5),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X4,X5) )
=> ! [X6,X7] :
( hBOOL(hAPP(hAPP(X2,X6),X7))
=> ! [X8] :
( c_Natural_Oevaln(v_c,X7,X4,X8)
=> hBOOL(hAPP(hAPP(X3,X6),X8)) ) ) )
& ! [X9] :
( ! [X10] :
( hBOOL(hAPP(hAPP(X2,X10),X1))
=> hBOOL(hAPP(hAPP(X3,X10),X9)) )
=> v_Q(X0,X9) ) ) ),
inference(rectify,[],[f5224]) ).
fof(f5230,plain,
! [X0,X1] :
( ? [X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& ! [X4] :
( ! [X6,X7] :
( ! [X8] :
( hBOOL(hAPP(hAPP(X3,X6),X8))
| ~ c_Natural_Oevaln(v_c,X7,X4,X8) )
| ~ hBOOL(hAPP(hAPP(X2,X6),X7)) )
| ? [X5] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X4,X5)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X5),v_G)) ) )
& ! [X9] :
( v_Q(X0,X9)
| ? [X10] :
( ~ hBOOL(hAPP(hAPP(X3,X10),X9))
& hBOOL(hAPP(hAPP(X2,X10),X1)) ) ) )
| ~ v_P(X0,X1) ),
inference(ennf_transformation,[],[f5228]) ).
fof(f5231,plain,
! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X0)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G)) ),
inference(ennf_transformation,[],[f5225]) ).
fof(f5232,plain,
? [X0,X1] :
( ? [X2] :
( ~ v_Q(X0,X2)
& c_Natural_Oevaln(v_c,X1,v_n,X2) )
& v_P(X0,X1) ),
inference(ennf_transformation,[],[f5227]) ).
fof(f5305,plain,
! [X0,X1] :
( ? [X2,X3] :
( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),X2),v_c),X3)),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& ! [X4] :
( ! [X5,X6] :
( ! [X7] :
( hBOOL(hAPP(hAPP(X3,X5),X7))
| ~ c_Natural_Oevaln(v_c,X6,X4,X7) )
| ~ hBOOL(hAPP(hAPP(X2,X5),X6)) )
| ? [X8] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X4,X8)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X8),v_G)) ) )
& ! [X9] :
( v_Q(X0,X9)
| ? [X10] :
( ~ hBOOL(hAPP(hAPP(X3,X10),X9))
& hBOOL(hAPP(hAPP(X2,X10),X1)) ) ) )
| ~ v_P(X0,X1) ),
inference(rectify,[],[f5230]) ).
fof(f5306,plain,
! [X0,X1] :
( ( c_Hoare__Mirabelle_Ohoare__derivs(t_a,v_G,hAPP(hAPP(c_Set_Oinsert(tc_Hoare__Mirabelle_Otriple(t_a)),hAPP(hAPP(hAPP(c_Hoare__Mirabelle_Otriple_Otriple(t_a),sK1(X0,X1)),v_c),sK2(X0,X1))),c_Orderings_Obot__class_Obot(tc_fun(tc_Hoare__Mirabelle_Otriple(t_a),tc_HOL_Obool))))
& ! [X4] :
( ! [X5,X6] :
( ! [X7] :
( hBOOL(hAPP(hAPP(sK2(X0,X1),X5),X7))
| ~ c_Natural_Oevaln(v_c,X6,X4,X7) )
| ~ hBOOL(hAPP(hAPP(sK1(X0,X1),X5),X6)) )
| ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X4,sK3(X4))
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK3(X4)),v_G)) ) )
& ! [X9] :
( v_Q(X0,X9)
| ( ~ hBOOL(hAPP(hAPP(sK2(X0,X1),sK4(X0,X1,X9)),X9))
& hBOOL(hAPP(hAPP(sK1(X0,X1),sK4(X0,X1,X9)),X1)) ) ) )
| ~ v_P(X0,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3,sK4]),skolemize(X2,sK1(X0,X1)),skolemize(X3,sK2(X0,X1)),skolemize(X8,sK3(X4)),skolemize(X10,sK4(X0,X1,X9))],[f5305]) ).
fof(f5307,plain,
( ~ v_Q(sK5,sK7)
& c_Natural_Oevaln(v_c,sK6,v_n,sK7)
& v_P(sK5,sK6) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5,sK6,sK7]),skolemize(X0,sK5),skolemize(X1,sK6),skolemize(X2,sK7)],[f5232]) ).
fof(f5354,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,[],[f47]) ).
fof(f5355,plain,
! [X0,X1,X9] :
( hBOOL(hAPP(hAPP(sK1(X0,X1),sK4(X0,X1,X9)),X1))
| v_Q(X0,X9)
| ~ v_P(X0,X1) ),
inference(cnf_transformation,[],[f5306]) ).
fof(f5356,plain,
! [X0,X1,X9] :
( ~ hBOOL(hAPP(hAPP(sK2(X0,X1),sK4(X0,X1,X9)),X9))
| v_Q(X0,X9)
| ~ v_P(X0,X1) ),
inference(cnf_transformation,[],[f5306]) ).
fof(f5357,plain,
! [X0,X1,X6,X7,X4,X5] :
( hBOOL(hAPP(hAPP(sK2(X0,X1),X5),X7))
| ~ c_Natural_Oevaln(v_c,X6,X4,X7)
| ~ hBOOL(hAPP(hAPP(sK1(X0,X1),X5),X6))
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK3(X4)),v_G))
| ~ v_P(X0,X1) ),
inference(cnf_transformation,[],[f5306]) ).
fof(f5358,plain,
! [X0,X1,X6,X7,X4,X5] :
( hBOOL(hAPP(hAPP(sK2(X0,X1),X5),X7))
| ~ c_Natural_Oevaln(v_c,X6,X4,X7)
| ~ hBOOL(hAPP(hAPP(sK1(X0,X1),X5),X6))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X4,sK3(X4))
| ~ v_P(X0,X1) ),
inference(cnf_transformation,[],[f5306]) ).
fof(f5360,plain,
! [X0] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X0) ),
inference(cnf_transformation,[],[f5231]) ).
fof(f5361,plain,
v_P(sK5,sK6),
inference(cnf_transformation,[],[f5307]) ).
fof(f5362,plain,
c_Natural_Oevaln(v_c,sK6,v_n,sK7),
inference(cnf_transformation,[],[f5307]) ).
fof(f5363,plain,
~ v_Q(sK5,sK7),
inference(cnf_transformation,[],[f5307]) ).
fof(f5504,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f5354]) ).
fof(f5505,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| ~ hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f5354]) ).
fof(f5538,plain,
! [X6,X7,X4] :
( ~ c_Natural_Oevaln(v_c,X6,X4,X7)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X4,sK3(X4))
| sP29(X6,X7) ),
inference(cnf_transformation,[],[f5538_D]) ).
fof(f5538_D,definition,
! [X7,X6] :
( ! [X4] :
( ~ c_Natural_Oevaln(v_c,X6,X4,X7)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X4,sK3(X4)) )
<=> ~ sP29(X6,X7) ),
introduced(definition,[new_symbols(definition,[sP29])],[general_splitting_component_introduction]) ).
fof(f5539,plain,
! [X0,X1,X6,X7,X5] :
( ~ hBOOL(hAPP(hAPP(sK1(X0,X1),X5),X6))
| hBOOL(hAPP(hAPP(sK2(X0,X1),X5),X7))
| ~ v_P(X0,X1)
| ~ sP29(X6,X7) ),
inference(general_splitting,[],[f5358,f5538_D]) ).
fof(f5540,plain,
! [X6,X7,X4] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK3(X4)),v_G))
| ~ c_Natural_Oevaln(v_c,X6,X4,X7)
| sP30(X6,X7) ),
inference(cnf_transformation,[],[f5540_D]) ).
fof(f5540_D,definition,
! [X7,X6] :
( ! [X4] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK3(X4)),v_G))
| ~ c_Natural_Oevaln(v_c,X6,X4,X7) )
<=> ~ sP30(X6,X7) ),
introduced(definition,[new_symbols(definition,[sP30])],[general_splitting_component_introduction]) ).
fof(f5541,plain,
! [X0,X1,X6,X7,X5] :
( ~ hBOOL(hAPP(hAPP(sK1(X0,X1),X5),X6))
| hBOOL(hAPP(hAPP(sK2(X0,X1),X5),X7))
| ~ v_P(X0,X1)
| ~ sP30(X6,X7) ),
inference(general_splitting,[],[f5357,f5540_D]) ).
fof(f5556,plain,
! [X0] :
( ~ hBOOL(hAPP(v_G,X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X0) ),
inference(resolution,[],[f5360,f5505]) ).
fof(f5581,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sK3(v_n))
| sP29(sK6,sK7) ),
inference(resolution,[],[f5538,f5362]) ).
fof(f5647,plain,
! [X2,X0,X1] :
( ~ c_Natural_Oevaln(v_c,X0,X1,X2)
| sP30(X0,X2)
| hBOOL(hAPP(v_G,sK3(X1))) ),
inference(resolution,[],[f5540,f5504]) ).
fof(f5659,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(sK2(X0,X1),sK4(X0,X1,X2)),X3))
| ~ v_P(X0,X1)
| ~ sP29(X1,X3)
| v_Q(X0,X2)
| ~ v_P(X0,X1) ),
inference(resolution,[],[f5539,f5355]) ).
fof(f5663,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(sK2(X0,X1),sK4(X0,X1,X2)),X3))
| ~ v_P(X0,X1)
| ~ sP29(X1,X3)
| v_Q(X0,X2) ),
inference(duplicate_literal_removal,[],[f5659]) ).
fof(f5665,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(sK2(X0,X1),sK4(X0,X1,X2)),X3))
| ~ v_P(X0,X1)
| ~ sP30(X1,X3)
| v_Q(X0,X2)
| ~ v_P(X0,X1) ),
inference(resolution,[],[f5541,f5355]) ).
fof(f5669,plain,
! [X2,X3,X0,X1] :
( hBOOL(hAPP(hAPP(sK2(X0,X1),sK4(X0,X1,X2)),X3))
| ~ v_P(X0,X1)
| ~ sP30(X1,X3)
| v_Q(X0,X2) ),
inference(duplicate_literal_removal,[],[f5665]) ).
fof(f5703,plain,
( sP30(sK6,sK7)
| hBOOL(hAPP(v_G,sK3(v_n))) ),
inference(resolution,[],[f5647,f5362]) ).
fof(f5707,definition,
( spl36_10
<=> hBOOL(hAPP(v_G,sK3(v_n))) ),
introduced(definition,[new_symbols(definition,[spl36_10])],[avatar_definition]) ).
fof(f5709,plain,
( hBOOL(hAPP(v_G,sK3(v_n)))
| ~ spl36_10 ),
inference(avatar_component_clause,[],[f5707]) ).
fof(f5711,definition,
( spl36_11
<=> sP30(sK6,sK7) ),
introduced(definition,[new_symbols(definition,[spl36_11])],[avatar_definition]) ).
fof(f5713,plain,
( sP30(sK6,sK7)
| ~ spl36_11 ),
inference(avatar_component_clause,[],[f5711]) ).
fof(f5714,plain,
( spl36_10
| spl36_11 ),
inference(avatar_split_clause,[],[f5703,f5711,f5707]) ).
fof(f5734,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sK3(v_n))
| ~ spl36_10 ),
inference(resolution,[],[f5709,f5556]) ).
fof(f5771,definition,
( spl36_17
<=> sP29(sK6,sK7) ),
introduced(definition,[new_symbols(definition,[spl36_17])],[avatar_definition]) ).
fof(f5773,plain,
( sP29(sK6,sK7)
| ~ spl36_17 ),
inference(avatar_component_clause,[],[f5771]) ).
fof(f5775,definition,
( spl36_18
<=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sK3(v_n)) ),
introduced(definition,[new_symbols(definition,[spl36_18])],[avatar_definition]) ).
fof(f5778,plain,
( spl36_17
| ~ spl36_18 ),
inference(avatar_split_clause,[],[f5581,f5775,f5771]) ).
fof(f5779,plain,
( spl36_18
| ~ spl36_10 ),
inference(avatar_split_clause,[],[f5734,f5707,f5775]) ).
fof(f5785,plain,
! [X2,X0,X1] :
( ~ v_P(X0,X1)
| ~ sP29(X1,X2)
| v_Q(X0,X2)
| v_Q(X0,X2)
| ~ v_P(X0,X1) ),
inference(resolution,[],[f5663,f5356]) ).
fof(f5794,plain,
! [X2,X0,X1] :
( ~ sP29(X1,X2)
| ~ v_P(X0,X1)
| v_Q(X0,X2) ),
inference(duplicate_literal_removal,[],[f5785]) ).
fof(f5797,plain,
! [X2,X0,X1] :
( ~ v_P(X0,X1)
| ~ sP30(X1,X2)
| v_Q(X0,X2)
| v_Q(X0,X2)
| ~ v_P(X0,X1) ),
inference(resolution,[],[f5669,f5356]) ).
fof(f5806,plain,
! [X2,X0,X1] :
( ~ sP30(X1,X2)
| ~ v_P(X0,X1)
| v_Q(X0,X2) ),
inference(duplicate_literal_removal,[],[f5797]) ).
fof(f5885,plain,
( ! [X0] :
( ~ v_P(X0,sK6)
| v_Q(X0,sK7) )
| ~ spl36_11 ),
inference(resolution,[],[f5806,f5713]) ).
fof(f5904,plain,
( v_Q(sK5,sK7)
| ~ spl36_11 ),
inference(resolution,[],[f5885,f5361]) ).
fof(f5905,plain,
( $false
| ~ spl36_11 ),
inference(forward_subsumption_resolution,[],[f5904,f5363]) ).
fof(f5906,plain,
~ spl36_11,
inference(avatar_contradiction_clause,[],[f5905]) ).
fof(f5907,plain,
( ! [X0] :
( ~ v_P(X0,sK6)
| v_Q(X0,sK7) )
| ~ spl36_17 ),
inference(resolution,[],[f5773,f5794]) ).
fof(f5933,plain,
( v_Q(sK5,sK7)
| ~ spl36_17 ),
inference(resolution,[],[f5907,f5361]) ).
fof(f5934,plain,
( $false
| ~ spl36_17 ),
inference(forward_subsumption_resolution,[],[f5933,f5363]) ).
fof(f5935,plain,
~ spl36_17,
inference(avatar_contradiction_clause,[],[f5934]) ).
cnf(s6,plain,
( spl36_10
| spl36_11 ),
inference(sat_conversion,[],[f5714]) ).
cnf(s11,plain,
( spl36_17
| ~ spl36_18 ),
inference(sat_conversion,[],[f5778]) ).
cnf(s12,plain,
( ~ spl36_10
| spl36_18 ),
inference(sat_conversion,[],[f5779]) ).
cnf(s15,plain,
~ spl36_11,
inference(sat_conversion,[],[f5906]) ).
cnf(s17,plain,
~ spl36_17,
inference(sat_conversion,[],[f5935]) ).
cnf(s18,plain,
~ spl36_18,
inference(rat,[],[s11,s17]) ).
cnf(s19,plain,
~ spl36_10,
inference(rat,[],[s12,s18]) ).
cnf(s22,plain,
$false,
inference(rat,[],[s6,s15,s19]) ).
fof(f5936,plain,
$false,
inference(avatar_sat_refutation,[],[s22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW341+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.21 % Computer : n002.cluster.edu
% 0.10/0.21 % Model : x86_64 x86_64
% 0.10/0.21 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.21 % Memory : 8046.5625MB
% 0.10/0.21 % OS : Linux 6.8.0-71-generic
% 0.10/0.21 % CPULimit : 300
% 0.10/0.21 % WCLimit : 300
% 0.10/0.21 % DateTime : Mon Sep 28 13:41:52 UTC 2026
% 0.10/0.22 % CPUTime :
% 0.10/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.26 Running first-order theorem proving
% 0.10/0.26 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
% 3.36/1.10 % (356183)Detected formulas, will run a generic FOF schedule.
% 3.36/1.10 % (356194)dis-21_1_sil=8000:lcm=predicate:random_seed=2616905992:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2998 on theBenchmark for (2998ds/129Mi)
% 3.36/1.10 % (356192)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=985027777:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 3.36/1.10 % (356188)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=3659161181:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 3.36/1.10 % (356193)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3941462596:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 3.36/1.10 % (356190)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=3680987629:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 3.36/1.10 % (356189)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=4098214300:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 3.36/1.10 % (356191)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3430061245:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 3.36/1.10 % (356194)Instruction limit reached!
% 3.36/1.10 % (356194)------------------------------
% 3.36/1.10 % (356194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.10 % (356194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.10 % (356194)CaDiCaL version: 2.1.3
% 3.36/1.10 % (356194)Termination reason: Instruction limit
% 3.36/1.10 % (356194)Termination phase: Preprocessing 3
% 3.36/1.10 % (356194)Time elapsed: 0.050 s
% 3.36/1.10 % (356194)Peak memory usage: 93 MB
% 3.36/1.10 % (356194)Instructions burned: 129 (million)
% 3.36/1.10 % (356191)First to succeed.
% 3.36/1.10 % (356193)Instruction limit reached!
% 3.36/1.10 % (356193)------------------------------
% 3.36/1.10 % (356193)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.10 % (356193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.10 % (356193)CaDiCaL version: 2.1.3
% 3.36/1.10 % (356193)Termination reason: Instruction limit
% 3.36/1.10 % (356193)Termination phase: SInE selection
% 3.36/1.10 % (356193)Time elapsed: 0.058 s
% 3.36/1.10 % (356193)Peak memory usage: 90 MB
% 3.36/1.10 % (356193)Instructions burned: 140 (million)
% 3.36/1.10 % (356191)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-356183"
% 3.36/1.10 % (356192)Instruction limit reached!
% 3.36/1.10 % (356192)------------------------------
% 3.36/1.10 % (356192)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.10 % (356192)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.10 % (356192)CaDiCaL version: 2.1.3
% 3.36/1.10 % (356192)Termination reason: Instruction limit
% 3.36/1.10 % (356192)Termination phase: Saturation
% 3.36/1.10 % (356192)Time elapsed: 0.072 s
% 3.36/1.10 % (356192)Peak memory usage: 94 MB
% 3.36/1.10 % (356192)Instructions burned: 119 (million)
% 3.36/1.10 % (356202)lrs+10_1_sil=8000:sp=occurrence:random_seed=2709331602:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 3.36/1.10 % (356203)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3420404526:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/157Mi)
% 3.36/1.10 % (356202)Instruction limit reached!
% 3.36/1.10 % (356202)------------------------------
% 3.36/1.10 % (356202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.36/1.10 % (356202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.36/1.10 % (356202)CaDiCaL version: 2.1.3
% 3.36/1.10 % (356202)Termination reason: Instruction limit
% 3.36/1.10 % (356202)Termination phase: Saturation
% 3.36/1.10 % (356202)Time elapsed: 0.102 s
% 3.36/1.10 % (356202)Peak memory usage: 96 MB
% 3.36/1.10 % (356202)Instructions burned: 299 (million)
% 3.36/1.10 % (356204)lrs+1011_1_sil=32000:sp=occurrence:random_seed=90120590:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 3.36/1.10 % (356203)Also succeeded, but the first one will report.
% 3.36/1.10 % (356191)Refutation found. Thanks to Tanya!
% 3.36/1.10 % SZS status Theorem for theBenchmark
% 3.36/1.10 % SZS output start Proof for theBenchmark
% See solution above
% 3.94/1.19 % (356191)------------------------------
% 3.94/1.19 % (356191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.94/1.19 % (356191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.94/1.19 % (356191)CaDiCaL version: 2.1.3
% 3.94/1.19 % (356191)Termination reason: Refutation
% 3.94/1.19 % (356191)Time elapsed: 0.058 s
% 3.94/1.19 % (356191)Peak memory usage: 96 MB
% 3.94/1.19 % (356191)Instructions burned: 86 (million)
% 3.94/1.19 % (356191)------------------------------
% 3.94/1.19 % (356191)------------------------------
% 3.94/1.19 % (356183)Success in time 0.649 s
% 3.94/1.19 % Vampire exiting
%------------------------------------------------------------------------------