%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWB023+2 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n015.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 01:00:44 PM UTC 2026
% Result : Theorem 0.13s 0.43s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 8
% Syntax : Number of formulae : 62 ( 16 unt; 2 def)
% Number of atoms : 233 ( 43 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 270 ( 99 ~; 100 |; 56 &)
% ( 13 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 3 prp; 0-3 aty)
% Number of functors : 17 ( 17 usr; 13 con; 0-2 aty)
% Number of variables : 99 ( 0 sgn 85 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f2,axiom,
! [X0,X1,X2] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,uri_rdf_nil) )
=> ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_enum_class_001) ).
fof(f3,axiom,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( ( iext(X0,X1,X2)
& iext(X0,X1,X3) )
=> X2 = X3 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_char_functional) ).
fof(f4,axiom,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f5,conjecture,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_conclusion_fullish_023_Unique_List_Components) ).
fof(f6,negated_conjecture,
~ ( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
& iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(negated_conjecture,[status(cth)],[f5]) ).
fof(f7,axiom,
? [X0,X1] :
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,X0)
& iext(uri_rdf_type,X0,uri_owl_Class)
& iext(uri_owl_oneOf,X0,X1)
& iext(uri_rdf_first,X1,uri_ex_u)
& iext(uri_rdf_first,X1,uri_ex_v)
& iext(uri_rdf_rest,X1,uri_rdf_nil) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_023_Unique_List_Components) ).
fof(f8,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,plain,
! [X0,X1,X2] :
( ( iext(uri_owl_oneOf,X0,X1)
<=> ( ic(X0)
& ! [X3] :
( icext(X0,X3)
<=> X3 = X2 ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(flattening,[],[f8]) ).
fof(f10,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X2)
| ~ iext(X0,X1,X3) ) ) ),
inference(ennf_transformation,[],[f3]) ).
fof(f11,plain,
! [X0] :
( icext(uri_owl_FunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X2)
| ~ iext(X0,X1,X3) ) ) ),
inference(flattening,[],[f10]) ).
fof(f12,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(ennf_transformation,[],[f6]) ).
fof(f13,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f14,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X3 = X2
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(nnf_transformation,[],[f9]) ).
fof(f15,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X3] :
( ( icext(X0,X3)
| X2 != X3 )
& ( X3 = X2
| ~ icext(X0,X3) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(flattening,[],[f14]) ).
fof(f16,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ? [X3] :
( ( X2 != X3
| ~ icext(X0,X3) )
& ( X3 = X2
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(rectify,[],[f15]) ).
fof(f17,plain,
! [X0,X1,X2] :
( ( ( iext(uri_owl_oneOf,X0,X1)
| ~ ic(X0)
| ( ( sK0(X0,X2) != X2
| ~ icext(X0,sK0(X0,X2)) )
& ( sK0(X0,X2) = X2
| icext(X0,sK0(X0,X2)) ) ) )
& ( ( ic(X0)
& ! [X4] :
( ( icext(X0,X4)
| X2 != X4 )
& ( X2 = X4
| ~ icext(X0,X4) ) ) )
| ~ iext(uri_owl_oneOf,X0,X1) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X3,sK0(X0,X2))],[f16]) ).
fof(f18,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X2 != X3
& iext(X0,X1,X2)
& iext(X0,X1,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X2)
| ~ iext(X0,X1,X3) ) )
| ~ icext(uri_owl_FunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f19,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X2 != X3
& iext(X0,X1,X2)
& iext(X0,X1,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( X2 = X3
| ~ iext(X0,X1,X2)
| ~ iext(X0,X1,X3) ) )
| ~ icext(uri_owl_FunctionalProperty,X0) ) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X2 != X3
& iext(X0,X1,X2)
& iext(X0,X1,X3) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( X5 = X6
| ~ iext(X0,X4,X5)
| ~ iext(X0,X4,X6) ) )
| ~ icext(uri_owl_FunctionalProperty,X0) ) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0] :
( ( icext(uri_owl_FunctionalProperty,X0)
| ~ ip(X0)
| ( sK2(X0) != sK3(X0)
& iext(X0,sK1(X0),sK2(X0))
& iext(X0,sK1(X0),sK3(X0)) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( X5 = X6
| ~ iext(X0,X4,X5)
| ~ iext(X0,X4,X6) ) )
| ~ icext(uri_owl_FunctionalProperty,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2,sK3]),skolemize(X1,sK1(X0)),skolemize(X2,sK2(X0)),skolemize(X3,sK3(X0))],[f20]) ).
fof(f22,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f4]) ).
fof(f23,plain,
( iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty)
& iext(uri_rdf_type,uri_ex_w,sK4)
& iext(uri_rdf_type,sK4,uri_owl_Class)
& iext(uri_owl_oneOf,sK4,sK5)
& iext(uri_rdf_first,sK5,uri_ex_u)
& iext(uri_rdf_first,sK5,uri_ex_v)
& iext(uri_rdf_rest,sK5,uri_rdf_nil) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4,sK5]),skolemize(X0,sK4),skolemize(X1,sK5)],[f7]) ).
fof(f24,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f13]) ).
fof(f26,plain,
! [X2,X0,X1,X4] :
( ~ icext(X0,X4)
| X2 = X4
| ~ iext(uri_owl_oneOf,X0,X1)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
! [X0,X6,X4,X5] :
( ~ icext(uri_owl_FunctionalProperty,X0)
| ~ iext(X0,X4,X5)
| ~ iext(X0,X4,X6)
| X5 = X6 ),
inference(cnf_transformation,[],[f21]) ).
fof(f37,plain,
! [X0,X1] :
( X0 != X1
| iext(uri_owl_sameAs,X0,X1) ),
inference(cnf_transformation,[],[f22]) ).
fof(f38,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
inference(cnf_transformation,[],[f12]) ).
fof(f39,plain,
iext(uri_rdf_rest,sK5,uri_rdf_nil),
inference(cnf_transformation,[],[f23]) ).
fof(f40,plain,
iext(uri_rdf_first,sK5,uri_ex_v),
inference(cnf_transformation,[],[f23]) ).
fof(f41,plain,
iext(uri_rdf_first,sK5,uri_ex_u),
inference(cnf_transformation,[],[f23]) ).
fof(f42,plain,
iext(uri_owl_oneOf,sK4,sK5),
inference(cnf_transformation,[],[f23]) ).
fof(f44,plain,
iext(uri_rdf_type,uri_ex_w,sK4),
inference(cnf_transformation,[],[f23]) ).
fof(f45,plain,
iext(uri_rdf_type,uri_rdf_first,uri_owl_FunctionalProperty),
inference(cnf_transformation,[],[f23]) ).
fof(f47,definition,
( spl6_1
<=> iext(uri_owl_sameAs,uri_ex_w,uri_ex_v) ),
introduced(definition,[new_symbols(definition,[spl6_1])],[avatar_definition]) ).
fof(f48,plain,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| ~ spl6_1 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f49,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_v)
| spl6_1 ),
inference(avatar_component_clause,[],[f47]) ).
fof(f51,definition,
( spl6_2
<=> iext(uri_owl_sameAs,uri_ex_w,uri_ex_u) ),
introduced(definition,[new_symbols(definition,[spl6_2])],[avatar_definition]) ).
fof(f53,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| spl6_2 ),
inference(avatar_component_clause,[],[f51]) ).
fof(f54,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(avatar_split_clause,[],[f38,f51,f47]) ).
fof(f55,plain,
icext(uri_owl_FunctionalProperty,uri_rdf_first),
inference(resolution,[],[f24,f45]) ).
fof(f56,plain,
icext(sK4,uri_ex_w),
inference(resolution,[],[f24,f44]) ).
fof(f61,plain,
! [X0] : iext(uri_owl_sameAs,X0,X0),
inference(equality_resolution,[],[f37]) ).
fof(f81,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdf_first,X0,X1)
| ~ iext(uri_rdf_first,X0,X2)
| X1 = X2 ),
inference(resolution,[],[f31,f55]) ).
fof(f83,plain,
! [X0,X1] :
( ~ iext(uri_owl_oneOf,sK4,X1)
| uri_ex_w = X0
| ~ iext(uri_rdf_first,X1,X0)
| ~ iext(uri_rdf_rest,X1,uri_rdf_nil) ),
inference(resolution,[],[f26,f56]) ).
fof(f85,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK5,X0)
| uri_ex_v = X0 ),
inference(resolution,[],[f81,f40]) ).
fof(f90,plain,
uri_ex_u = uri_ex_v,
inference(resolution,[],[f85,f41]) ).
fof(f105,plain,
! [X0] :
( uri_ex_w = X0
| ~ iext(uri_rdf_first,sK5,X0)
| ~ iext(uri_rdf_rest,sK5,uri_rdf_nil) ),
inference(resolution,[],[f83,f42]) ).
fof(f106,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK5,X0)
| uri_ex_w = X0 ),
inference(forward_subsumption_resolution,[],[f105,f39]) ).
fof(f107,plain,
uri_ex_w = uri_ex_v,
inference(resolution,[],[f106,f40]) ).
fof(f112,plain,
( ~ iext(uri_owl_sameAs,uri_ex_w,uri_ex_w)
| spl6_1 ),
inference(superposition,[],[f49,f107]) ).
fof(f113,plain,
( $false
| spl6_1 ),
inference(forward_subsumption_resolution,[],[f112,f61]) ).
fof(f114,plain,
spl6_1,
inference(avatar_contradiction_clause,[],[f113]) ).
fof(f115,plain,
( iext(uri_owl_sameAs,uri_ex_w,uri_ex_u)
| ~ spl6_1 ),
inference(forward_demodulation,[],[f48,f90]) ).
fof(f116,plain,
( $false
| ~ spl6_1
| spl6_2 ),
inference(forward_subsumption_resolution,[],[f115,f53]) ).
fof(f117,plain,
( ~ spl6_1
| spl6_2 ),
inference(avatar_contradiction_clause,[],[f116]) ).
cnf(s1,plain,
( ~ spl6_1
| ~ spl6_2 ),
inference(sat_conversion,[],[f54]) ).
cnf(s6,plain,
spl6_1,
inference(sat_conversion,[],[f114]) ).
cnf(s7,plain,
( ~ spl6_1
| spl6_2 ),
inference(sat_conversion,[],[f117]) ).
cnf(s8,plain,
spl6_2,
inference(rat,[],[s7,s6]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s8,s6]) ).
fof(f118,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB023+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.04 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.35 % Computer : n015.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 28 07:08:01 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.35 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.13/0.39 Running first-order model finding
% 0.13/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.43 % (2444598)Will run a generic schedule for satisfiability detection.
% 0.13/0.43 % (2444608)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2847402917:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.13/0.43 % (2444608) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2444598-2444608"...
% 0.13/0.43 % (2444608)...printing done.
% 0.13/0.43 % (2444604)% WARNING: option uhcvi not known.
% 0.13/0.43 % (2444608)Refutation found. Thanks to Tanya!
% 0.13/0.43 % SZS status Theorem for theBenchmark
% 0.13/0.43 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.43 % (2444608)------------------------------
% 0.13/0.43 % (2444608)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.43 % (2444608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.43 % (2444608)CaDiCaL version: 2.1.3
% 0.13/0.43 % (2444608)Termination reason: Refutation
% 0.13/0.43 % (2444608)Time elapsed: 0.003 s
% 0.13/0.43 % (2444608)Peak memory usage: 12 MB
% 0.13/0.43 % (2444608)Instructions burned: 5 (million)
% 0.13/0.43 % (2444598)Success in time 0.038 s
% 0.13/0.43 % Vampire exiting
%------------------------------------------------------------------------------