%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB068+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 : n010.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 01:00:21 PM UTC 2026
% Result : Theorem 2.36s 1.21s
% Output : Refutation 3.03s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 80 ( 22 unt; 6 def)
% Number of atoms : 312 ( 55 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 401 ( 169 ~; 179 |; 44 &)
% ( 8 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 7 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 13 con; 0-1 aty)
% Number of variables : 112 ( 0 sgn 98 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f345,axiom,
! [X0,X1] :
( iext(uri_owl_differentFrom,X0,X1)
<=> X0 != X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).
fof(f366,axiom,
! [X0,X1,X2,X3,X4,X5] :
( ( iext(uri_rdf_first,X0,X1)
& iext(uri_rdf_rest,X0,X2)
& iext(uri_rdf_first,X2,X3)
& iext(uri_rdf_rest,X2,X4)
& iext(uri_rdf_first,X4,X5)
& iext(uri_rdf_rest,X4,uri_rdf_nil)
& X1 != X3
& X1 != X5
& X3 != X5 )
=> ? [X6] :
( icext(uri_owl_AllDifferent,X6)
& iext(uri_owl_members,X6,X0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_ndis_alldifferent_members_fi_003) ).
fof(f559,conjecture,
? [X0,X1,X2,X3] :
( iext(uri_rdf_first,X1,uri_ex_w1)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X2,uri_ex_w2)
& iext(uri_rdf_rest,X2,X0)
& iext(uri_rdf_type,X3,uri_owl_AllDifferent)
& iext(uri_owl_members,X3,X1)
& iext(uri_rdf_first,X0,uri_ex_w3)
& iext(uri_rdf_rest,X0,uri_rdf_nil) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_ndis_alldifferent_bw) ).
fof(f560,negated_conjecture,
~ ? [X0,X1,X2,X3] :
( iext(uri_rdf_first,X1,uri_ex_w1)
& iext(uri_rdf_rest,X1,X2)
& iext(uri_rdf_first,X2,uri_ex_w2)
& iext(uri_rdf_rest,X2,X0)
& iext(uri_rdf_type,X3,uri_owl_AllDifferent)
& iext(uri_owl_members,X3,X1)
& iext(uri_rdf_first,X0,uri_ex_w3)
& iext(uri_rdf_rest,X0,uri_rdf_nil) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0,X1,X2] :
( iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2)
& iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3)
& iext(uri_rdf_first,X0,uri_ex_w3)
& iext(uri_rdf_rest,X0,uri_rdf_nil)
& iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3)
& iext(uri_rdf_first,X2,uri_ex_w2)
& iext(uri_rdf_rest,X2,X0)
& iext(uri_rdf_first,X1,uri_ex_w1)
& iext(uri_rdf_rest,X1,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_ndis_alldifferent_bw) ).
fof(f814,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( icext(uri_owl_AllDifferent,X6)
& iext(uri_owl_members,X6,X0) )
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| X1 = X3
| X1 = X5
| X3 = X5 ),
inference(ennf_transformation,[],[f366]) ).
fof(f815,plain,
! [X0,X1,X2,X3,X4,X5] :
( ? [X6] :
( icext(uri_owl_AllDifferent,X6)
& iext(uri_owl_members,X6,X0) )
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| X1 = X3
| X1 = X5
| X3 = X5 ),
inference(flattening,[],[f814]) ).
fof(f980,plain,
! [X0,X1,X2,X3] :
( ~ iext(uri_rdf_first,X1,uri_ex_w1)
| ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X2,uri_ex_w2)
| ~ iext(uri_rdf_rest,X2,X0)
| ~ iext(uri_rdf_type,X3,uri_owl_AllDifferent)
| ~ iext(uri_owl_members,X3,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_w3)
| ~ iext(uri_rdf_rest,X0,uri_rdf_nil) ),
inference(ennf_transformation,[],[f560]) ).
fof(f1061,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f25]) ).
fof(f1320,plain,
! [X0,X1] :
( ( iext(uri_owl_differentFrom,X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ iext(uri_owl_differentFrom,X0,X1) ) ),
inference(nnf_transformation,[],[f345]) ).
fof(f1370,plain,
! [X0,X1,X2,X3,X4,X5] :
( ( icext(uri_owl_AllDifferent,sK187(X0))
& iext(uri_owl_members,sK187(X0),X0) )
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| X1 = X3
| X1 = X5
| X3 = X5 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK187]),skolemize(X6,sK187(X0))],[f815]) ).
fof(f1460,plain,
( iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2)
& iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3)
& iext(uri_rdf_first,sK251,uri_ex_w3)
& iext(uri_rdf_rest,sK251,uri_rdf_nil)
& iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3)
& iext(uri_rdf_first,sK253,uri_ex_w2)
& iext(uri_rdf_rest,sK253,sK251)
& iext(uri_rdf_first,sK252,uri_ex_w1)
& iext(uri_rdf_rest,sK252,sK253) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK251,sK252,sK253]),skolemize(X0,sK251),skolemize(X1,sK252),skolemize(X2,sK253)],[f561]) ).
fof(f1487,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f1061]) ).
fof(f2321,plain,
! [X0,X1] :
( X0 != X1
| ~ iext(uri_owl_differentFrom,X0,X1) ),
inference(cnf_transformation,[],[f1320]) ).
fof(f2419,plain,
! [X2,X3,X0,X1,X4,X5] :
( iext(uri_owl_members,sK187(X0),X0)
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| X1 = X3
| X1 = X5
| X3 = X5 ),
inference(cnf_transformation,[],[f1370]) ).
fof(f2420,plain,
! [X2,X3,X0,X1,X4,X5] :
( icext(uri_owl_AllDifferent,sK187(X0))
| ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_rest,X0,X2)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,X4)
| ~ iext(uri_rdf_first,X4,X5)
| ~ iext(uri_rdf_rest,X4,uri_rdf_nil)
| X1 = X3
| X1 = X5
| X3 = X5 ),
inference(cnf_transformation,[],[f1370]) ).
fof(f2750,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,X0,uri_rdf_nil)
| ~ iext(uri_rdf_rest,X1,X2)
| ~ iext(uri_rdf_first,X2,uri_ex_w2)
| ~ iext(uri_rdf_rest,X2,X0)
| ~ iext(uri_rdf_type,X3,uri_owl_AllDifferent)
| ~ iext(uri_owl_members,X3,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_w3)
| ~ iext(uri_rdf_first,X1,uri_ex_w1) ),
inference(cnf_transformation,[],[f980]) ).
fof(f2751,plain,
iext(uri_rdf_rest,sK252,sK253),
inference(cnf_transformation,[],[f1460]) ).
fof(f2752,plain,
iext(uri_rdf_first,sK252,uri_ex_w1),
inference(cnf_transformation,[],[f1460]) ).
fof(f2753,plain,
iext(uri_rdf_rest,sK253,sK251),
inference(cnf_transformation,[],[f1460]) ).
fof(f2754,plain,
iext(uri_rdf_first,sK253,uri_ex_w2),
inference(cnf_transformation,[],[f1460]) ).
fof(f2755,plain,
iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w3),
inference(cnf_transformation,[],[f1460]) ).
fof(f2756,plain,
iext(uri_rdf_rest,sK251,uri_rdf_nil),
inference(cnf_transformation,[],[f1460]) ).
fof(f2757,plain,
iext(uri_rdf_first,sK251,uri_ex_w3),
inference(cnf_transformation,[],[f1460]) ).
fof(f2758,plain,
iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w3),
inference(cnf_transformation,[],[f1460]) ).
fof(f2759,plain,
iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w2),
inference(cnf_transformation,[],[f1460]) ).
fof(f2766,plain,
! [X1] : ~ iext(uri_owl_differentFrom,X1,X1),
inference(equality_resolution,[],[f2321]) ).
fof(f2804,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_w2)
| ~ iext(uri_rdf_rest,X1,sK251)
| ~ iext(uri_rdf_type,X2,uri_owl_AllDifferent)
| ~ iext(uri_owl_members,X2,X0)
| ~ iext(uri_rdf_first,sK251,uri_ex_w3)
| ~ iext(uri_rdf_first,X0,uri_ex_w1) ),
inference(resolution,[],[f2756,f2750]) ).
fof(f2806,definition,
( spl254_6
<=> iext(uri_rdf_first,sK251,uri_ex_w3) ),
introduced(definition,[new_symbols(definition,[spl254_6])],[avatar_definition]) ).
fof(f2807,plain,
( iext(uri_rdf_first,sK251,uri_ex_w3)
| ~ spl254_6 ),
inference(avatar_component_clause,[],[f2806]) ).
fof(f2810,definition,
( spl254_7
<=> ! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X0,uri_ex_w1)
| ~ iext(uri_rdf_type,X2,uri_owl_AllDifferent)
| ~ iext(uri_owl_members,X2,X0)
| ~ iext(uri_rdf_rest,X1,sK251)
| ~ iext(uri_rdf_first,X1,uri_ex_w2) ) ),
introduced(definition,[new_symbols(definition,[spl254_7])],[avatar_definition]) ).
fof(f2811,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_rest,X1,sK251)
| ~ iext(uri_rdf_first,X0,uri_ex_w1)
| ~ iext(uri_rdf_type,X2,uri_owl_AllDifferent)
| ~ iext(uri_owl_members,X2,X0)
| ~ iext(uri_rdf_rest,X0,X1)
| ~ iext(uri_rdf_first,X1,uri_ex_w2) )
| ~ spl254_7 ),
inference(avatar_component_clause,[],[f2810]) ).
fof(f2812,plain,
( ~ spl254_6
| spl254_7 ),
inference(avatar_split_clause,[],[f2804,f2810,f2806]) ).
fof(f2815,plain,
spl254_6,
inference(avatar_split_clause,[],[f2757,f2806]) ).
fof(f2825,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,X0,uri_ex_w1)
| ~ iext(uri_rdf_type,X1,uri_owl_AllDifferent)
| ~ iext(uri_owl_members,X1,X0)
| ~ iext(uri_rdf_rest,X0,sK253)
| ~ iext(uri_rdf_first,sK253,uri_ex_w2) )
| ~ spl254_7 ),
inference(resolution,[],[f2811,f2753]) ).
fof(f2843,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_rest,X0,sK253)
| ~ iext(uri_rdf_type,X1,uri_owl_AllDifferent)
| ~ iext(uri_owl_members,X1,X0)
| ~ iext(uri_rdf_first,X0,uri_ex_w1) )
| ~ spl254_7 ),
inference(forward_subsumption_resolution,[],[f2825,f2754]) ).
fof(f2844,plain,
( ! [X0] :
( ~ iext(uri_rdf_type,X0,uri_owl_AllDifferent)
| ~ iext(uri_owl_members,X0,sK252)
| ~ iext(uri_rdf_first,sK252,uri_ex_w1) )
| ~ spl254_7 ),
inference(resolution,[],[f2843,f2751]) ).
fof(f2845,plain,
( ! [X0] :
( ~ iext(uri_rdf_type,X0,uri_owl_AllDifferent)
| ~ iext(uri_owl_members,X0,sK252) )
| ~ spl254_7 ),
inference(forward_subsumption_resolution,[],[f2844,f2752]) ).
fof(f2846,plain,
( ! [X0] :
( ~ iext(uri_owl_members,X0,sK252)
| ~ icext(uri_owl_AllDifferent,X0) )
| ~ spl254_7 ),
inference(resolution,[],[f2845,f1487]) ).
fof(f3053,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK252,X0)
| ~ iext(uri_rdf_rest,sK252,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| X0 = X2
| X0 = X4
| X2 = X4
| ~ icext(uri_owl_AllDifferent,sK187(sK252)) )
| ~ spl254_7 ),
inference(resolution,[],[f2419,f2846]) ).
fof(f3054,plain,
( ! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,sK252,X1)
| ~ iext(uri_rdf_first,sK252,X0)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| X0 = X2
| X0 = X4
| X2 = X4 )
| ~ spl254_7 ),
inference(forward_subsumption_resolution,[],[f3053,f2420]) ).
fof(f3055,plain,
( ! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_rest,sK253,X2)
| ~ iext(uri_rdf_first,sK253,X1)
| ~ iext(uri_rdf_first,sK252,X0)
| ~ iext(uri_rdf_first,X2,X3)
| ~ iext(uri_rdf_rest,X2,uri_rdf_nil)
| X0 = X1
| X0 = X3
| X1 = X3 )
| ~ spl254_7 ),
inference(resolution,[],[f3054,f2751]) ).
fof(f3063,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK253,X0)
| ~ iext(uri_rdf_first,sK252,X1)
| ~ iext(uri_rdf_first,sK251,X2)
| ~ iext(uri_rdf_rest,sK251,uri_rdf_nil)
| X0 = X1
| X1 = X2
| X0 = X2 )
| ~ spl254_7 ),
inference(resolution,[],[f3055,f2753]) ).
fof(f3064,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK253,X0)
| ~ iext(uri_rdf_first,sK252,X1)
| ~ iext(uri_rdf_first,sK251,X2)
| X0 = X1
| X1 = X2
| X0 = X2 )
| ~ spl254_7 ),
inference(forward_subsumption_resolution,[],[f3063,f2756]) ).
fof(f3070,plain,
( ! [X0,X1] :
( ~ iext(uri_rdf_first,sK252,X0)
| ~ iext(uri_rdf_first,sK251,X1)
| uri_ex_w2 = X0
| X0 = X1
| uri_ex_w2 = X1 )
| ~ spl254_7 ),
inference(resolution,[],[f3064,f2754]) ).
fof(f3080,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK251,X0)
| uri_ex_w1 = uri_ex_w2
| uri_ex_w1 = X0
| uri_ex_w2 = X0 )
| ~ spl254_7 ),
inference(resolution,[],[f3070,f2752]) ).
fof(f3082,definition,
( spl254_32
<=> uri_ex_w1 = uri_ex_w2 ),
introduced(definition,[new_symbols(definition,[spl254_32])],[avatar_definition]) ).
fof(f3084,plain,
( uri_ex_w1 = uri_ex_w2
| ~ spl254_32 ),
inference(avatar_component_clause,[],[f3082]) ).
fof(f3086,definition,
( spl254_33
<=> ! [X0] :
( ~ iext(uri_rdf_first,sK251,X0)
| uri_ex_w2 = X0
| uri_ex_w1 = X0 ) ),
introduced(definition,[new_symbols(definition,[spl254_33])],[avatar_definition]) ).
fof(f3087,plain,
( ! [X0] :
( ~ iext(uri_rdf_first,sK251,X0)
| uri_ex_w2 = X0
| uri_ex_w1 = X0 )
| ~ spl254_33 ),
inference(avatar_component_clause,[],[f3086]) ).
fof(f3088,plain,
( spl254_32
| spl254_33
| ~ spl254_7 ),
inference(avatar_split_clause,[],[f3080,f2810,f3086,f3082]) ).
fof(f3092,plain,
( iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w1)
| ~ spl254_32 ),
inference(superposition,[],[f2759,f3084]) ).
fof(f3096,plain,
( $false
| ~ spl254_32 ),
inference(forward_subsumption_resolution,[],[f3092,f2766]) ).
fof(f3097,plain,
~ spl254_32,
inference(avatar_contradiction_clause,[],[f3096]) ).
fof(f3099,plain,
( uri_ex_w2 = uri_ex_w3
| uri_ex_w1 = uri_ex_w3
| ~ spl254_6
| ~ spl254_33 ),
inference(resolution,[],[f3087,f2807]) ).
fof(f3101,definition,
( spl254_34
<=> uri_ex_w1 = uri_ex_w3 ),
introduced(definition,[new_symbols(definition,[spl254_34])],[avatar_definition]) ).
fof(f3103,plain,
( uri_ex_w1 = uri_ex_w3
| ~ spl254_34 ),
inference(avatar_component_clause,[],[f3101]) ).
fof(f3105,definition,
( spl254_35
<=> uri_ex_w2 = uri_ex_w3 ),
introduced(definition,[new_symbols(definition,[spl254_35])],[avatar_definition]) ).
fof(f3107,plain,
( uri_ex_w2 = uri_ex_w3
| ~ spl254_35 ),
inference(avatar_component_clause,[],[f3105]) ).
fof(f3108,plain,
( spl254_34
| spl254_35
| ~ spl254_6
| ~ spl254_33 ),
inference(avatar_split_clause,[],[f3099,f3086,f2806,f3105,f3101]) ).
fof(f3109,plain,
( iext(uri_owl_differentFrom,uri_ex_w1,uri_ex_w1)
| ~ spl254_34 ),
inference(superposition,[],[f2758,f3103]) ).
fof(f3113,plain,
( $false
| ~ spl254_34 ),
inference(forward_subsumption_resolution,[],[f3109,f2766]) ).
fof(f3114,plain,
~ spl254_34,
inference(avatar_contradiction_clause,[],[f3113]) ).
fof(f3118,plain,
( iext(uri_owl_differentFrom,uri_ex_w2,uri_ex_w2)
| ~ spl254_35 ),
inference(superposition,[],[f2755,f3107]) ).
fof(f3119,plain,
( $false
| ~ spl254_35 ),
inference(forward_subsumption_resolution,[],[f3118,f2766]) ).
fof(f3120,plain,
~ spl254_35,
inference(avatar_contradiction_clause,[],[f3119]) ).
cnf(s3,plain,
( ~ spl254_6
| spl254_7 ),
inference(sat_conversion,[],[f2812]) ).
cnf(s5,plain,
spl254_6,
inference(sat_conversion,[],[f2815]) ).
cnf(s22,plain,
( ~ spl254_7
| spl254_32
| spl254_33 ),
inference(sat_conversion,[],[f3088]) ).
cnf(s23,plain,
~ spl254_32,
inference(sat_conversion,[],[f3097]) ).
cnf(s25,plain,
( ~ spl254_6
| ~ spl254_33
| spl254_34
| spl254_35 ),
inference(sat_conversion,[],[f3108]) ).
cnf(s27,plain,
~ spl254_34,
inference(sat_conversion,[],[f3114]) ).
cnf(s28,plain,
~ spl254_35,
inference(sat_conversion,[],[f3120]) ).
cnf(s30,plain,
( ~ spl254_6
| ~ spl254_33 ),
inference(rat,[],[s25,s28,s27]) ).
cnf(s31,plain,
( ~ spl254_7
| spl254_33 ),
inference(rat,[],[s22,s23]) ).
cnf(s32,plain,
~ spl254_33,
inference(rat,[],[s30,s5]) ).
cnf(s34,plain,
~ spl254_7,
inference(rat,[],[s31,s32]) ).
cnf(s39,plain,
$false,
inference(rat,[],[s3,s34,s5]) ).
fof(f3123,plain,
$false,
inference(avatar_sat_refutation,[],[s39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB068+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n010.cluster.edu
% 0.12/0.38 % Model : x86_64 x86_64
% 0.12/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.38 % Memory : 8046.5625MB
% 0.12/0.38 % OS : Linux 6.8.0-71-generic
% 0.12/0.38 % CPULimit : 300
% 0.12/0.38 % WCLimit : 300
% 0.12/0.38 % DateTime : Mon Sep 28 07:16:17 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.15/0.41 Running first-order theorem proving
% 0.15/0.41 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
% 2.36/1.21 % (1735942)Detected formulas, will run a generic FOF schedule.
% 2.36/1.21 % (1735952)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1547061513:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.36/1.21 % (1735952)First to succeed.
% 2.36/1.21 % (1735952)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1735942"
% 2.36/1.21 % (1735947)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=3806886658:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.36/1.21 % (1735948)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=3413348465:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.36/1.21 % (1735951)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2054182179:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.36/1.21 % (1735949)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=2593479155:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.36/1.21 % (1735953)dis-21_1_sil=8000:lcm=predicate:random_seed=4077373553:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 2.36/1.21 % (1735950)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2736153180:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.36/1.21 % (1735950)Refutation not found, incomplete strategy
% 2.36/1.21 % (1735950)------------------------------
% 2.36/1.21 % (1735950)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.36/1.21 % (1735950)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/1.21 % (1735950)CaDiCaL version: 2.1.3
% 2.36/1.21 % (1735950)Termination reason: Refutation not found, incomplete strategy
% 2.36/1.21 % (1735950)Time elapsed: 0.005 s
% 2.36/1.21 % (1735950)Peak memory usage: 88 MB
% 2.36/1.21 % (1735950)Instructions burned: 6 (million)
% 2.36/1.21 % (1735951)Also succeeded, but the first one will report.
% 2.36/1.21 % (1735953)Instruction limit reached!
% 2.36/1.21 % (1735953)------------------------------
% 2.36/1.21 % (1735953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.36/1.21 % (1735953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.36/1.21 % (1735953)CaDiCaL version: 2.1.3
% 2.36/1.21 % (1735953)Termination reason: Instruction limit
% 2.36/1.21 % (1735953)Termination phase: Saturation
% 2.36/1.21 % (1735953)Time elapsed: 0.069 s
% 2.36/1.21 % (1735953)Peak memory usage: 90 MB
% 2.36/1.21 % (1735953)Instructions burned: 131 (million)
% 2.36/1.21 % (1735952)Refutation found. Thanks to Tanya!
% 2.36/1.21 % SZS status Theorem for theBenchmark
% 2.36/1.21 % SZS output start Proof for theBenchmark
% See solution above
% 3.03/1.41 % (1735952)------------------------------
% 3.03/1.41 % (1735952)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.03/1.41 % (1735952)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.03/1.41 % (1735952)CaDiCaL version: 2.1.3
% 3.03/1.41 % (1735952)Termination reason: Refutation
% 3.03/1.41 % (1735952)Time elapsed: 0.030 s
% 3.03/1.41 % (1735952)Peak memory usage: 91 MB
% 3.03/1.41 % (1735952)Instructions burned: 90 (million)
% 3.03/1.41 % (1735952)------------------------------
% 3.03/1.41 % (1735952)------------------------------
% 3.03/1.41 % (1735942)Success in time 0.352 s
% 3.03/1.41 % Vampire exiting
%------------------------------------------------------------------------------