%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW326+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 : n017.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 01:30:07 PM UTC 2026
% Result : Theorem 5.41s 2.33s
% Output : Refutation 6.58s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 78 ( 13 unt; 9 def)
% Number of atoms : 214 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 253 ( 117 ~; 95 |; 20 &)
% ( 9 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 14 ( 13 usr; 8 prp; 0-4 aty)
% Number of functors : 13 ( 13 usr; 9 con; 0-2 aty)
% Number of variables : 76 ( 0 sgn 67 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5206,axiom,
! [X0,X1] :
( c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1)
=> ( ! [X2] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X2) )
=> ! [X3] :
( v_P(X3,X0)
=> ( v_P(X3,X1)
& ~ hBOOL(hAPP(v_b,X1)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_1) ).
fof(f5207,conjecture,
( ! [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) )
=> ! [X1,X2] :
( v_P(X1,X2)
=> ! [X3] :
( c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X2,v_n,X3)
=> ( v_P(X1,X3)
& ~ hBOOL(hAPP(v_b,X3)) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conj_2) ).
fof(f5208,negated_conjecture,
~ ( ! [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) )
=> ! [X1,X2] :
( v_P(X1,X2)
=> ! [X3] :
( c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X2,v_n,X3)
=> ( v_P(X1,X3)
& ~ hBOOL(hAPP(v_b,X3)) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f5207]) ).
fof(f5212,plain,
! [X0,X1] :
( ! [X3] :
( ( v_P(X3,X1)
& ~ hBOOL(hAPP(v_b,X1)) )
| ~ v_P(X3,X0) )
| ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) )
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1) ),
inference(ennf_transformation,[],[f5206]) ).
fof(f5213,plain,
! [X0,X1] :
( ! [X3] :
( ( v_P(X3,X1)
& ~ hBOOL(hAPP(v_b,X1)) )
| ~ v_P(X3,X0) )
| ? [X2] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X2)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) )
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1) ),
inference(flattening,[],[f5212]) ).
fof(f5214,plain,
( ? [X1,X2] :
( ? [X3] :
( ( ~ v_P(X1,X3)
| hBOOL(hAPP(v_b,X3)) )
& c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X2,v_n,X3) )
& v_P(X1,X2) )
& ! [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,[],[f5208]) ).
fof(f5249,plain,
! [X0,X1] :
( ! [X2] :
( ( v_P(X2,X1)
& ~ hBOOL(hAPP(v_b,X1)) )
| ~ v_P(X2,X0) )
| ? [X3] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X3)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G)) )
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1) ),
inference(rectify,[],[f5213]) ).
fof(f5250,plain,
! [X0,X1] :
( ! [X2] :
( ( v_P(X2,X1)
& ~ hBOOL(hAPP(v_b,X1)) )
| ~ v_P(X2,X0) )
| ( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sK1)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1),v_G)) )
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1)],[f5249]) ).
fof(f5251,plain,
( ? [X0,X1] :
( ? [X2] :
( ( ~ v_P(X0,X2)
| hBOOL(hAPP(v_b,X2)) )
& c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X1,v_n,X2) )
& v_P(X0,X1) )
& ! [X3] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G)) ) ),
inference(rectify,[],[f5214]) ).
fof(f5252,plain,
( ( ~ v_P(sK2,sK4)
| hBOOL(hAPP(v_b,sK4)) )
& c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),sK3,v_n,sK4)
& v_P(sK2,sK3)
& ! [X3] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X3)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3,sK4]),skolemize(X0,sK2),skolemize(X1,sK3),skolemize(X2,sK4)],[f5251]) ).
fof(f5279,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(v_b,X1))
| ~ v_P(X2,X0)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1),v_G))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1) ),
inference(cnf_transformation,[],[f5250]) ).
fof(f5280,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(v_b,X1))
| ~ v_P(X2,X0)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sK1)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1) ),
inference(cnf_transformation,[],[f5250]) ).
fof(f5281,plain,
! [X2,X0,X1] :
( v_P(X2,X1)
| ~ v_P(X2,X0)
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1),v_G))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1) ),
inference(cnf_transformation,[],[f5250]) ).
fof(f5282,plain,
! [X2,X0,X1] :
( v_P(X2,X1)
| ~ v_P(X2,X0)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sK1)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1) ),
inference(cnf_transformation,[],[f5250]) ).
fof(f5283,plain,
! [X3] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X3),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,X3) ),
inference(cnf_transformation,[],[f5252]) ).
fof(f5284,plain,
v_P(sK2,sK3),
inference(cnf_transformation,[],[f5252]) ).
fof(f5285,plain,
c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),sK3,v_n,sK4),
inference(cnf_transformation,[],[f5252]) ).
fof(f5286,plain,
( ~ v_P(sK2,sK4)
| hBOOL(hAPP(v_b,sK4)) ),
inference(cnf_transformation,[],[f5252]) ).
fof(f5373,plain,
! [X2,X0] :
( ~ v_P(X2,X0)
| sP14(X0) ),
inference(cnf_transformation,[],[f5373_D]) ).
fof(f5373_D,definition,
! [X0] :
( ! [X2] : ~ v_P(X2,X0)
<=> ~ sP14(X0) ),
introduced(definition,[new_symbols(definition,[sP14])],[general_splitting_component_introduction]) ).
fof(f5374,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(v_b,X1))
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sK1)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1)
| ~ sP14(X0) ),
inference(general_splitting,[],[f5280,f5373_D]) ).
fof(f5375,plain,
! [X2,X0] :
( ~ v_P(X2,X0)
| sP15(X0) ),
inference(cnf_transformation,[],[f5375_D]) ).
fof(f5375_D,definition,
! [X0] :
( ! [X2] : ~ v_P(X2,X0)
<=> ~ sP15(X0) ),
introduced(definition,[new_symbols(definition,[sP15])],[general_splitting_component_introduction]) ).
fof(f5376,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(v_b,X1))
| hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1),v_G))
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1)
| ~ sP15(X0) ),
inference(general_splitting,[],[f5279,f5375_D]) ).
fof(f5382,definition,
( spl18_1
<=> hBOOL(hAPP(v_b,sK4)) ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f5384,plain,
( hBOOL(hAPP(v_b,sK4))
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f5382]) ).
fof(f5386,definition,
( spl18_2
<=> v_P(sK2,sK4) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f5388,plain,
( ~ v_P(sK2,sK4)
| spl18_2 ),
inference(avatar_component_clause,[],[f5386]) ).
fof(f5389,plain,
( spl18_1
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f5286,f5386,f5382]) ).
fof(f5391,definition,
( spl18_3
<=> hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1),v_G)) ),
introduced(definition,[new_symbols(definition,[spl18_3])],[avatar_definition]) ).
fof(f5393,plain,
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1),v_G))
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f5391]) ).
fof(f5395,definition,
( spl18_4
<=> ! [X2,X0,X1] :
( v_P(X2,X1)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1)
| ~ v_P(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition]) ).
fof(f5396,plain,
( ! [X2,X0,X1] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1)
| v_P(X2,X1)
| ~ v_P(X2,X0) )
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f5395]) ).
fof(f5397,plain,
( spl18_3
| spl18_4 ),
inference(avatar_split_clause,[],[f5281,f5395,f5391]) ).
fof(f5399,definition,
( spl18_5
<=> c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sK1) ),
introduced(definition,[new_symbols(definition,[spl18_5])],[avatar_definition]) ).
fof(f5401,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sK1)
| spl18_5 ),
inference(avatar_component_clause,[],[f5399]) ).
fof(f5402,plain,
( ~ spl18_5
| spl18_4 ),
inference(avatar_split_clause,[],[f5282,f5395,f5399]) ).
fof(f5404,definition,
( spl18_6
<=> ! [X0,X1] :
( ~ hBOOL(hAPP(v_b,X1))
| ~ sP14(X0)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1) ) ),
introduced(definition,[new_symbols(definition,[spl18_6])],[avatar_definition]) ).
fof(f5405,plain,
( ! [X0,X1] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1)
| ~ sP14(X0)
| ~ hBOOL(hAPP(v_b,X1)) )
| ~ spl18_6 ),
inference(avatar_component_clause,[],[f5404]) ).
fof(f5406,plain,
( ~ spl18_5
| spl18_6 ),
inference(avatar_split_clause,[],[f5374,f5404,f5399]) ).
fof(f5408,definition,
( spl18_7
<=> ! [X0,X1] :
( ~ hBOOL(hAPP(v_b,X1))
| ~ sP15(X0)
| ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1) ) ),
introduced(definition,[new_symbols(definition,[spl18_7])],[avatar_definition]) ).
fof(f5409,plain,
( ! [X0,X1] :
( ~ c_Natural_Oevaln(c_Com_Ocom_OWhile(v_b,v_c),X0,v_n,X1)
| ~ sP15(X0)
| ~ hBOOL(hAPP(v_b,X1)) )
| ~ spl18_7 ),
inference(avatar_component_clause,[],[f5408]) ).
fof(f5410,plain,
( spl18_3
| spl18_7 ),
inference(avatar_split_clause,[],[f5376,f5408,f5391]) ).
fof(f5437,plain,
sP14(sK3),
inference(resolution,[],[f5373,f5284]) ).
fof(f5438,plain,
sP15(sK3),
inference(resolution,[],[f5375,f5284]) ).
fof(f5441,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,v_n,sK1)
| ~ spl18_3 ),
inference(resolution,[],[f5393,f5283]) ).
fof(f5442,plain,
( $false
| ~ spl18_3
| spl18_5 ),
inference(forward_subsumption_resolution,[],[f5441,f5401]) ).
fof(f5443,plain,
( ~ spl18_3
| spl18_5 ),
inference(avatar_contradiction_clause,[],[f5442]) ).
fof(f5468,plain,
( ! [X0] :
( ~ v_P(X0,sK3)
| v_P(X0,sK4) )
| ~ spl18_4 ),
inference(resolution,[],[f5396,f5285]) ).
fof(f5485,plain,
( v_P(sK2,sK4)
| ~ spl18_4 ),
inference(resolution,[],[f5468,f5284]) ).
fof(f5486,plain,
( $false
| spl18_2
| ~ spl18_4 ),
inference(forward_subsumption_resolution,[],[f5485,f5388]) ).
fof(f5487,plain,
( spl18_2
| ~ spl18_4 ),
inference(avatar_contradiction_clause,[],[f5486]) ).
fof(f5492,plain,
( ~ sP14(sK3)
| ~ hBOOL(hAPP(v_b,sK4))
| ~ spl18_6 ),
inference(resolution,[],[f5405,f5285]) ).
fof(f5512,plain,
( ~ hBOOL(hAPP(v_b,sK4))
| ~ spl18_6 ),
inference(forward_subsumption_resolution,[],[f5492,f5437]) ).
fof(f5515,plain,
( $false
| ~ spl18_1
| ~ spl18_6 ),
inference(forward_subsumption_resolution,[],[f5512,f5384]) ).
fof(f5516,plain,
( ~ spl18_1
| ~ spl18_6 ),
inference(avatar_contradiction_clause,[],[f5515]) ).
fof(f5524,plain,
( ~ sP15(sK3)
| ~ hBOOL(hAPP(v_b,sK4))
| ~ spl18_7 ),
inference(resolution,[],[f5409,f5285]) ).
fof(f5546,plain,
( ~ hBOOL(hAPP(v_b,sK4))
| ~ spl18_7 ),
inference(forward_subsumption_resolution,[],[f5524,f5438]) ).
fof(f5549,plain,
( $false
| ~ spl18_1
| ~ spl18_7 ),
inference(forward_subsumption_resolution,[],[f5546,f5384]) ).
fof(f5550,plain,
( ~ spl18_1
| ~ spl18_7 ),
inference(avatar_contradiction_clause,[],[f5549]) ).
cnf(s1,plain,
( spl18_1
| ~ spl18_2 ),
inference(sat_conversion,[],[f5389]) ).
cnf(s2,plain,
( spl18_3
| spl18_4 ),
inference(sat_conversion,[],[f5397]) ).
cnf(s3,plain,
( spl18_4
| ~ spl18_5 ),
inference(sat_conversion,[],[f5402]) ).
cnf(s4,plain,
( ~ spl18_5
| spl18_6 ),
inference(sat_conversion,[],[f5406]) ).
cnf(s5,plain,
( spl18_3
| spl18_7 ),
inference(sat_conversion,[],[f5410]) ).
cnf(s9,plain,
( ~ spl18_3
| spl18_5 ),
inference(sat_conversion,[],[f5443]) ).
cnf(s11,plain,
( spl18_2
| ~ spl18_4 ),
inference(sat_conversion,[],[f5487]) ).
cnf(s13,plain,
( ~ spl18_1
| ~ spl18_6 ),
inference(sat_conversion,[],[f5516]) ).
cnf(s15,plain,
( ~ spl18_1
| ~ spl18_7 ),
inference(sat_conversion,[],[f5550]) ).
cnf(s16,plain,
spl18_4,
inference(rat,[],[s9,s2,s3]) ).
cnf(s17,plain,
spl18_2,
inference(rat,[],[s11,s16]) ).
cnf(s18,plain,
spl18_1,
inference(rat,[],[s1,s17]) ).
cnf(s19,plain,
~ spl18_7,
inference(rat,[],[s15,s18]) ).
cnf(s20,plain,
~ spl18_6,
inference(rat,[],[s13,s18]) ).
cnf(s21,plain,
spl18_3,
inference(rat,[],[s5,s19]) ).
cnf(s22,plain,
~ spl18_5,
inference(rat,[],[s4,s20]) ).
cnf(s23,plain,
$false,
inference(rat,[],[s9,s22,s21]) ).
fof(f5551,plain,
$false,
inference(avatar_sat_refutation,[],[s23]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : SWW326+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.11 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.32 % Computer : n017.cluster.edu
% 0.28/0.32 % Model : x86_64 x86_64
% 0.28/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.28/0.32 % Memory : 8046.5625MB
% 0.28/0.32 % OS : Linux 6.8.0-71-generic
% 0.28/0.32 % CPULimit : 300
% 0.28/0.32 % WCLimit : 300
% 0.28/0.32 % DateTime : Mon Sep 28 13:31:22 UTC 2026
% 0.28/0.33 % CPUTime :
% 0.28/0.33 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.28/0.39 Running first-order theorem proving
% 0.28/0.39 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
% 5.41/2.33 % (3550506)Detected formulas, will run a generic FOF schedule.
% 5.41/2.33 % (3550512)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=673647918:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2995 on theBenchmark for (2995ds/134677Mi)
% 5.41/2.33 % (3550517)dis-21_1_sil=8000:lcm=predicate:random_seed=3793139486:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2995 on theBenchmark for (2995ds/129Mi)
% 5.41/2.33 % (3550516)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3785753131:s2a=on:i=139:gtg=position_2995 on theBenchmark for (2995ds/139Mi)
% 5.41/2.33 % (3550511)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=3450395349:i=141193_2995 on theBenchmark for (2995ds/141193Mi)
% 5.41/2.33 % (3550513)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=3146409069:i=141695:sd=1:nm=32:gsp=on:ss=included_2995 on theBenchmark for (2995ds/141695Mi)
% 5.41/2.33 % (3550514)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3984507705:i=109:sd=1:ins=1:gsp=on:ss=axioms_2995 on theBenchmark for (2995ds/109Mi)
% 5.41/2.33 % (3550515)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=314750533:i=119:av=off:ss=axioms_2995 on theBenchmark for (2995ds/119Mi)
% 5.41/2.33 % (3550516)Instruction limit reached!
% 5.41/2.33 % (3550516)------------------------------
% 5.41/2.33 % (3550516)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/2.33 % (3550516)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/2.33 % (3550516)CaDiCaL version: 2.1.3
% 5.41/2.33 % (3550516)Termination reason: Instruction limit
% 5.41/2.33 % (3550516)Termination phase: SInE selection
% 5.41/2.33 % (3550516)Time elapsed: 0.060 s
% 5.41/2.33 % (3550516)Peak memory usage: 90 MB
% 5.41/2.33 % (3550516)Instructions burned: 139 (million)
% 5.41/2.33 % (3550517)Instruction limit reached!
% 5.41/2.33 % (3550517)------------------------------
% 5.41/2.33 % (3550517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/2.33 % (3550517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/2.33 % (3550517)CaDiCaL version: 2.1.3
% 5.41/2.33 % (3550517)Termination reason: Instruction limit
% 5.41/2.33 % (3550517)Termination phase: Preprocessing 3
% 5.41/2.33 % (3550517)Time elapsed: 0.080 s
% 5.41/2.33 % (3550517)Peak memory usage: 93 MB
% 5.41/2.33 % (3550517)Instructions burned: 134 (million)
% 5.41/2.33 % (3550514)First to succeed.
% 5.41/2.33 % (3550514)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3550506"
% 5.41/2.33 % (3550515)Instruction limit reached!
% 5.41/2.33 % (3550515)------------------------------
% 5.41/2.33 % (3550515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/2.33 % (3550515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/2.33 % (3550515)CaDiCaL version: 2.1.3
% 5.41/2.33 % (3550515)Termination reason: Instruction limit
% 5.41/2.33 % (3550515)Termination phase: Property scanning
% 5.41/2.33 % (3550515)Time elapsed: 0.120 s
% 5.41/2.33 % (3550515)Peak memory usage: 93 MB
% 5.41/2.33 % (3550515)Instructions burned: 119 (million)
% 5.41/2.33 % (3550525)lrs+10_1_sil=8000:sp=occurrence:random_seed=2986773263:i=285:sd=3:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/285Mi)
% 5.41/2.33 % (3550526)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2934128898:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2992 on theBenchmark for (2992ds/157Mi)
% 5.41/2.33 % (3550525)Also succeeded, but the first one will report.
% 5.41/2.33 % (3550526)Instruction limit reached!
% 5.41/2.33 % (3550526)------------------------------
% 5.41/2.33 % (3550526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.41/2.33 % (3550526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.41/2.33 % (3550526)CaDiCaL version: 2.1.3
% 5.41/2.33 % (3550526)Termination reason: Instruction limit
% 5.41/2.33 % (3550526)Termination phase: Saturation
% 5.41/2.33 % (3550526)Time elapsed: 0.146 s
% 5.41/2.33 % (3550526)Peak memory usage: 93 MB
% 5.41/2.33 % (3550526)Instructions burned: 157 (million)
% 5.41/2.33 % (3550527)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1361976257:i=325:sd=1:ss=axioms:sgt=32_2991 on theBenchmark for (2991ds/325Mi)
% 5.41/2.33 % (3550527)Also succeeded, but the first one will report.
% 5.41/2.33 % (3550514)Refutation found. Thanks to Tanya!
% 5.41/2.33 % SZS status Theorem for theBenchmark
% 5.41/2.33 % SZS output start Proof for theBenchmark
% See solution above
% 6.58/2.57 % (3550514)------------------------------
% 6.58/2.57 % (3550514)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.58/2.57 % (3550514)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.58/2.57 % (3550514)CaDiCaL version: 2.1.3
% 6.58/2.57 % (3550514)Termination reason: Refutation
% 6.58/2.57 % (3550514)Time elapsed: 0.054 s
% 6.58/2.57 % (3550514)Peak memory usage: 95 MB
% 6.58/2.57 % (3550514)Instructions burned: 48 (million)
% 6.58/2.57 % (3550514)------------------------------
% 6.58/2.57 % (3550514)------------------------------
% 6.58/2.57 % (3550506)Success in time 1.174 s
% 6.58/2.57 % Vampire exiting
%------------------------------------------------------------------------------