%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWW338+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 01:30:08 PM UTC 2026
% Result : Theorem 3.47s 1.06s
% Output : Refutation 3.84s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 6
% Syntax : Number of formulae : 52 ( 7 unt; 2 def)
% Number of atoms : 149 ( 0 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 149 ( 52 ~; 60 |; 13 &)
% ( 3 <=>; 21 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 5 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 6 con; 0-2 aty)
% Number of variables : 85 ( 0 sgn 77 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f126,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(f5225,axiom,
! [X0] :
( ! [X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G_H))
=> 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/sandbox/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_G_H))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ) ),
file('/export/starexec/sandbox/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),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ) ),
file('/export/starexec/sandbox/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),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_H))
=> 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,[],[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_G_H))
=> 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),v_ts))
=> c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X2) ) ),
inference(rectify,[],[f5229]) ).
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_H)) ) ),
inference(ennf_transformation,[],[f5230]) ).
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),v_G_H)) )
| ? [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(f5237,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,[],[f5232]) ).
fof(f5268,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_H)) ) ),
inference(rectify,[],[f5235]) ).
fof(f5269,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,sK0(X0))
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK0(X0)),v_G_H)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0))],[f5268]) ).
fof(f5270,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_G_H)) )
| ? [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(f5271,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_G_H)) )
| ( ~ 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))],[f5270]) ).
fof(f5272,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,[],[f5237]) ).
fof(f5273,plain,
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,sK3)
& hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK3),v_ts))
& ! [X2] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,X2)
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G)) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2,sK3]),skolemize(X0,sK2),skolemize(X1,sK3)],[f5272]) ).
fof(f5275,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,[],[f126]) ).
fof(f5286,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK0(X0)),v_G_H))
| ~ 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,[],[f5269]) ).
fof(f5287,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,sK0(X0)) ),
inference(cnf_transformation,[],[f5269]) ).
fof(f5289,plain,
! [X0,X1] :
( hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK1(X0)),v_G))
| ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1) ),
inference(cnf_transformation,[],[f5271]) ).
fof(f5290,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X1),v_G_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK1(X0)) ),
inference(cnf_transformation,[],[f5271]) ).
fof(f5291,plain,
! [X2] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_G))
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,X2) ),
inference(cnf_transformation,[],[f5273]) ).
fof(f5292,plain,
hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),sK3),v_ts)),
inference(cnf_transformation,[],[f5273]) ).
fof(f5293,plain,
~ c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,sK3),
inference(cnf_transformation,[],[f5273]) ).
fof(f5308,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f5275]) ).
fof(f5309,plain,
! [X2,X0,X1] :
( hBOOL(hAPP(hAPP(c_member(X2),X1),X0))
| ~ hBOOL(hAPP(X0,X1)) ),
inference(cnf_transformation,[],[f5275]) ).
fof(f5374,plain,
! [X0] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK0(X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK3) ),
inference(resolution,[],[f5287,f5292]) ).
fof(f5386,plain,
! [X0,X1] :
( ~ c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK1(X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,X1)
| ~ hBOOL(hAPP(v_G_H,X1)) ),
inference(resolution,[],[f5290,f5309]) ).
fof(f5388,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)
| hBOOL(hAPP(v_G_H,sK0(X1))) ),
inference(resolution,[],[f5286,f5308]) ).
fof(f5396,plain,
! [X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X0),v_G_H))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X0)
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,sK1(X1)) ),
inference(resolution,[],[f5289,f5291]) ).
fof(f5405,plain,
! [X2,X0,X1] :
( ~ hBOOL(hAPP(hAPP(c_member(tc_Hoare__Mirabelle_Otriple(t_a)),X2),v_ts))
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,sK1(X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK0(X1))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,X2) ),
inference(resolution,[],[f5396,f5286]) ).
fof(f5442,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,sK1(X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK0(X1))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,sK3) ),
inference(resolution,[],[f5405,f5292]) ).
fof(f5451,plain,
! [X0,X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,X0)
| ~ hBOOL(hAPP(v_G_H,X0))
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,sK0(X1))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,sK3) ),
inference(resolution,[],[f5386,f5442]) ).
fof(f5454,definition,
( spl19_3
<=> ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,X1)
| ~ hBOOL(hAPP(v_G_H,X1)) ) ),
introduced(definition,[new_symbols(definition,[spl19_3])],[avatar_definition]) ).
fof(f5455,plain,
( ! [X1] :
( ~ hBOOL(hAPP(v_G_H,X1))
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,X1) )
| ~ spl19_3 ),
inference(avatar_component_clause,[],[f5454]) ).
fof(f5458,definition,
( spl19_4
<=> ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,sK0(X1))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,sK3) ) ),
introduced(definition,[new_symbols(definition,[spl19_4])],[avatar_definition]) ).
fof(f5459,plain,
( ! [X1] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,sK0(X1))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X1,sK3) )
| ~ spl19_4 ),
inference(avatar_component_clause,[],[f5458]) ).
fof(f5460,plain,
( spl19_4
| spl19_3 ),
inference(avatar_split_clause,[],[f5451,f5454,f5458]) ).
fof(f5465,plain,
! [X0] :
( hBOOL(hAPP(v_G_H,sK0(X0)))
| c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK3) ),
inference(resolution,[],[f5388,f5292]) ).
fof(f5472,plain,
( ! [X0] :
( c_Hoare__Mirabelle_Otriple__valid(t_a,X0,sK3)
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,sK0(X0)) )
| ~ spl19_3 ),
inference(resolution,[],[f5465,f5455]) ).
fof(f5473,plain,
( spl19_4
| ~ spl19_3 ),
inference(avatar_split_clause,[],[f5472,f5454,f5458]) ).
fof(f5482,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,sK3)
| c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,sK3)
| ~ spl19_4 ),
inference(resolution,[],[f5459,f5374]) ).
fof(f5483,plain,
( c_Hoare__Mirabelle_Otriple__valid(t_a,sK2,sK3)
| ~ spl19_4 ),
inference(duplicate_literal_removal,[],[f5482]) ).
fof(f5484,plain,
( $false
| ~ spl19_4 ),
inference(forward_subsumption_resolution,[],[f5483,f5293]) ).
fof(f5485,plain,
~ spl19_4,
inference(avatar_contradiction_clause,[],[f5484]) ).
cnf(s4,plain,
( spl19_3
| spl19_4 ),
inference(sat_conversion,[],[f5460]) ).
cnf(s6,plain,
( ~ spl19_3
| spl19_4 ),
inference(sat_conversion,[],[f5473]) ).
cnf(s7,plain,
~ spl19_4,
inference(sat_conversion,[],[f5485]) ).
cnf(s8,plain,
~ spl19_3,
inference(rat,[],[s6,s7]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s4,s7,s8]) ).
fof(f5487,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWW338+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.19 % Computer : n006.cluster.edu
% 0.06/0.19 % Model : x86_64 x86_64
% 0.06/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.19 % Memory : 8046.5625MB
% 0.06/0.19 % OS : Linux 6.8.0-71-generic
% 0.06/0.19 % CPULimit : 300
% 0.06/0.19 % WCLimit : 300
% 0.06/0.19 % DateTime : Mon Sep 28 13:36:55 UTC 2026
% 0.06/0.19 % CPUTime :
% 0.06/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.23 Running first-order theorem proving
% 0.06/0.23 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
% 3.47/1.06 % (3967512)Detected formulas, will run a generic FOF schedule.
% 3.47/1.06 % (3967520)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3234813021:i=109:sd=1:ins=1:gsp=on:ss=axioms_2998 on theBenchmark for (2998ds/109Mi)
% 3.47/1.06 % (3967522)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4171848878:s2a=on:i=139:gtg=position_2998 on theBenchmark for (2998ds/139Mi)
% 3.47/1.06 % (3967518)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=2151676798:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2998 on theBenchmark for (2998ds/134677Mi)
% 3.47/1.06 % (3967521)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2614792962:i=119:av=off:ss=axioms_2998 on theBenchmark for (2998ds/119Mi)
% 3.47/1.06 % (3967519)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=2556050735:i=141695:sd=1:nm=32:gsp=on:ss=included_2998 on theBenchmark for (2998ds/141695Mi)
% 3.47/1.06 % (3967517)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=4014929383:i=141193_2998 on theBenchmark for (2998ds/141193Mi)
% 3.47/1.06 % (3967523)dis-21_1_sil=8000:lcm=predicate:random_seed=2281696184: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)
% 3.47/1.06 % (3967520)First to succeed.
% 3.47/1.06 % (3967520)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3967512"
% 3.47/1.06 % (3967522)Instruction limit reached!
% 3.47/1.06 % (3967522)------------------------------
% 3.47/1.06 % (3967522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.06 % (3967522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.06 % (3967522)CaDiCaL version: 2.1.3
% 3.47/1.06 % (3967522)Termination reason: Instruction limit
% 3.47/1.06 % (3967522)Termination phase: SInE selection
% 3.47/1.06 % (3967522)Time elapsed: 0.057 s
% 3.47/1.06 % (3967522)Peak memory usage: 90 MB
% 3.47/1.06 % (3967522)Instructions burned: 139 (million)
% 3.47/1.06 % (3967521)Instruction limit reached!
% 3.47/1.06 % (3967521)------------------------------
% 3.47/1.06 % (3967521)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.06 % (3967521)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.06 % (3967521)CaDiCaL version: 2.1.3
% 3.47/1.06 % (3967521)Termination reason: Instruction limit
% 3.47/1.06 % (3967521)Termination phase: Saturation
% 3.47/1.06 % (3967521)Time elapsed: 0.071 s
% 3.47/1.06 % (3967521)Peak memory usage: 94 MB
% 3.47/1.06 % (3967521)Instructions burned: 119 (million)
% 3.47/1.06 % (3967523)Instruction limit reached!
% 3.47/1.06 % (3967523)------------------------------
% 3.47/1.06 % (3967523)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.06 % (3967523)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.06 % (3967523)CaDiCaL version: 2.1.3
% 3.47/1.06 % (3967523)Termination reason: Instruction limit
% 3.47/1.06 % (3967523)Termination phase: Preprocessing 3
% 3.47/1.06 % (3967523)Time elapsed: 0.082 s
% 3.47/1.06 % (3967523)Peak memory usage: 93 MB
% 3.47/1.06 % (3967523)Instructions burned: 130 (million)
% 3.47/1.06 % (3967532)lrs+10_1_sil=32000:urr=on:br=off:random_seed=675033252:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2995 on theBenchmark for (2995ds/157Mi)
% 3.47/1.06 % (3967531)lrs+10_1_sil=8000:sp=occurrence:random_seed=2711080349:i=285:sd=3:ss=axioms:sgt=8_2996 on theBenchmark for (2996ds/285Mi)
% 3.47/1.06 % (3967532)Instruction limit reached!
% 3.47/1.06 % (3967532)------------------------------
% 3.47/1.06 % (3967532)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.06 % (3967532)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.06 % (3967532)CaDiCaL version: 2.1.3
% 3.47/1.06 % (3967532)Termination reason: Instruction limit
% 3.47/1.06 % (3967532)Termination phase: Saturation
% 3.47/1.06 % (3967532)Time elapsed: 0.039 s
% 3.47/1.06 % (3967532)Peak memory usage: 94 MB
% 3.47/1.06 % (3967532)Instructions burned: 157 (million)
% 3.47/1.06 % (3967533)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3529053645:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 3.47/1.06 % (3967533)Also succeeded, but the first one will report.
% 3.47/1.06 % (3967520)Refutation found. Thanks to Tanya!
% 3.47/1.06 % SZS status Theorem for theBenchmark
% 3.47/1.06 % SZS output start Proof for theBenchmark
% See solution above
% 3.84/1.25 % (3967520)------------------------------
% 3.84/1.25 % (3967520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.84/1.25 % (3967520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.84/1.25 % (3967520)CaDiCaL version: 2.1.3
% 3.84/1.25 % (3967520)Termination reason: Refutation
% 3.84/1.25 % (3967520)Time elapsed: 0.035 s
% 3.84/1.25 % (3967520)Peak memory usage: 95 MB
% 3.84/1.25 % (3967520)Instructions burned: 48 (million)
% 3.84/1.25 % (3967520)------------------------------
% 3.84/1.25 % (3967520)------------------------------
% 3.84/1.25 % (3967512)Success in time 0.633 s
% 3.84/1.25 % Vampire exiting
%------------------------------------------------------------------------------