%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB077+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 : n009.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 01:00:22 PM UTC 2026
% Result : Theorem 3.33s 1.37s
% Output : Refutation 4.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 8
% Syntax : Number of formulae : 56 ( 13 unt; 3 def)
% Number of atoms : 169 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 198 ( 85 ~; 78 |; 26 &)
% ( 5 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 7 ( 6 usr; 4 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 5 con; 0-2 aty)
% Number of variables : 87 ( 0 sgn 81 !; 6 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f59,axiom,
! [X0,X1,X2,X3] :
( ( iext(uri_rdfs_range,X0,X1)
& iext(X0,X2,X3) )
=> icext(X1,X3) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_range_main) ).
fof(f73,axiom,
! [X0,X1] :
( iext(uri_rdfs_subPropertyOf,X0,X1)
=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
=> iext(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_subpropertyof_main) ).
fof(f342,axiom,
! [X0,X1] :
( iext(uri_rdfs_range,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
=> icext(X1,X3) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_rdfsext_range) ).
fof(f559,conjecture,
iext(uri_rdfs_range,uri_ex_p1,uri_ex_c),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_rdfsext_range_subprop) ).
fof(f560,negated_conjecture,
~ iext(uri_rdfs_range,uri_ex_p1,uri_ex_c),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_rdfs_range,uri_ex_p2,uri_ex_c)
& iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_rdfsext_range_subprop) ).
fof(f572,plain,
~ iext(uri_rdfs_range,uri_ex_p1,uri_ex_c),
inference(flattening,[],[f560]) ).
fof(f580,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| ~ iext(uri_rdfs_range,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(ennf_transformation,[],[f59]) ).
fof(f581,plain,
! [X0,X1,X2,X3] :
( icext(X1,X3)
| ~ iext(uri_rdfs_range,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(flattening,[],[f580]) ).
fof(f586,plain,
! [X0,X1] :
( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(ennf_transformation,[],[f73]) ).
fof(f790,plain,
! [X0,X1] :
( iext(uri_rdfs_range,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( icext(X1,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f342]) ).
fof(f1308,plain,
! [X0,X1] :
( ( iext(uri_rdfs_range,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ icext(X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( icext(X1,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_range,X0,X1) ) ),
inference(nnf_transformation,[],[f790]) ).
fof(f1309,plain,
! [X0,X1] :
( ( iext(uri_rdfs_range,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ icext(X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( icext(X1,X3)
| ~ iext(X0,X2,X3) ) )
| ~ iext(uri_rdfs_range,X0,X1) ) ),
inference(flattening,[],[f1308]) ).
fof(f1310,plain,
! [X0,X1] :
( ( iext(uri_rdfs_range,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ~ icext(X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( icext(X1,X5)
| ~ iext(X0,X4,X5) ) )
| ~ iext(uri_rdfs_range,X0,X1) ) ),
inference(rectify,[],[f1309]) ).
fof(f1311,plain,
! [X0,X1] :
( ( iext(uri_rdfs_range,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ~ icext(X1,sK166(X0,X1))
& iext(X0,sK165(X0,X1),sK166(X0,X1)) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( icext(X1,X5)
| ~ iext(X0,X4,X5) ) )
| ~ iext(uri_rdfs_range,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK165,sK166]),skolemize(X2,sK165(X0,X1)),skolemize(X3,sK166(X0,X1))],[f1310]) ).
fof(f1523,plain,
! [X2,X3,X0,X1] :
( icext(X1,X3)
| ~ iext(uri_rdfs_range,X0,X1)
| ~ iext(X0,X2,X3) ),
inference(cnf_transformation,[],[f581]) ).
fof(f1539,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdfs_subPropertyOf,X0,X1)
| ~ iext(X0,X2,X3)
| iext(X1,X2,X3) ),
inference(cnf_transformation,[],[f586]) ).
fof(f1541,plain,
! [X0,X1] :
( ip(X0)
| ~ iext(uri_rdfs_subPropertyOf,X0,X1) ),
inference(cnf_transformation,[],[f586]) ).
fof(f2306,plain,
! [X0,X1] :
( ip(X1)
| ~ iext(uri_rdfs_range,X0,X1) ),
inference(cnf_transformation,[],[f1311]) ).
fof(f2308,plain,
! [X0,X1] :
( iext(X0,sK165(X0,X1),sK166(X0,X1))
| ~ ip(X0)
| ~ ip(X1)
| iext(uri_rdfs_range,X0,X1) ),
inference(cnf_transformation,[],[f1311]) ).
fof(f2309,plain,
! [X0,X1] :
( ~ icext(X1,sK166(X0,X1))
| ~ ip(X0)
| ~ ip(X1)
| iext(uri_rdfs_range,X0,X1) ),
inference(cnf_transformation,[],[f1311]) ).
fof(f2749,plain,
~ iext(uri_rdfs_range,uri_ex_p1,uri_ex_c),
inference(cnf_transformation,[],[f572]) ).
fof(f2750,plain,
iext(uri_rdfs_subPropertyOf,uri_ex_p1,uri_ex_p2),
inference(cnf_transformation,[],[f561]) ).
fof(f2751,plain,
iext(uri_rdfs_range,uri_ex_p2,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
fof(f2774,plain,
! [X2,X3,X0,X1] :
( ~ ip(X0)
| ~ ip(X1)
| iext(uri_rdfs_range,X0,X1)
| ~ iext(uri_rdfs_range,X2,X1)
| ~ iext(X2,X3,sK166(X0,X1)) ),
inference(resolution,[],[f2309,f1523]) ).
fof(f2775,plain,
! [X2,X3,X0,X1] :
( iext(uri_rdfs_range,X0,X1)
| ~ ip(X0)
| ~ iext(uri_rdfs_range,X2,X1)
| ~ iext(X2,X3,sK166(X0,X1)) ),
inference(forward_subsumption_resolution,[],[f2774,f2306]) ).
fof(f2955,plain,
! [X0,X1] :
( ~ iext(uri_ex_p1,X0,X1)
| iext(uri_ex_p2,X0,X1) ),
inference(resolution,[],[f1539,f2750]) ).
fof(f3024,plain,
! [X0,X1] :
( ~ ip(uri_ex_p1)
| ~ iext(uri_rdfs_range,X0,uri_ex_c)
| ~ iext(X0,X1,sK166(uri_ex_p1,uri_ex_c)) ),
inference(resolution,[],[f2775,f2749]) ).
fof(f3026,definition,
( spl251_17
<=> ! [X0,X1] :
( ~ iext(uri_rdfs_range,X0,uri_ex_c)
| ~ iext(X0,X1,sK166(uri_ex_p1,uri_ex_c)) ) ),
introduced(definition,[new_symbols(definition,[spl251_17])],[avatar_definition]) ).
fof(f3027,plain,
( ! [X0,X1] :
( ~ iext(uri_rdfs_range,X0,uri_ex_c)
| ~ iext(X0,X1,sK166(uri_ex_p1,uri_ex_c)) )
| ~ spl251_17 ),
inference(avatar_component_clause,[],[f3026]) ).
fof(f3029,definition,
( spl251_18
<=> ip(uri_ex_p1) ),
introduced(definition,[new_symbols(definition,[spl251_18])],[avatar_definition]) ).
fof(f3030,plain,
( ip(uri_ex_p1)
| ~ spl251_18 ),
inference(avatar_component_clause,[],[f3029]) ).
fof(f3031,plain,
( ~ ip(uri_ex_p1)
| spl251_18 ),
inference(avatar_component_clause,[],[f3029]) ).
fof(f3032,plain,
( spl251_17
| ~ spl251_18 ),
inference(avatar_split_clause,[],[f3024,f3029,f3026]) ).
fof(f3036,plain,
( ! [X0] : ~ iext(uri_rdfs_subPropertyOf,uri_ex_p1,X0)
| spl251_18 ),
inference(resolution,[],[f3031,f1541]) ).
fof(f3057,plain,
( $false
| spl251_18 ),
inference(resolution,[],[f3036,f2750]) ).
fof(f3063,plain,
spl251_18,
inference(avatar_contradiction_clause,[],[f3057]) ).
fof(f3075,plain,
( ! [X0] : ~ iext(uri_ex_p2,X0,sK166(uri_ex_p1,uri_ex_c))
| ~ spl251_17 ),
inference(resolution,[],[f3027,f2751]) ).
fof(f4363,plain,
! [X0] :
( iext(uri_ex_p2,sK165(uri_ex_p1,X0),sK166(uri_ex_p1,X0))
| ~ ip(uri_ex_p1)
| ~ ip(X0)
| iext(uri_rdfs_range,uri_ex_p1,X0) ),
inference(resolution,[],[f2955,f2308]) ).
fof(f4364,plain,
( ! [X0] :
( iext(uri_ex_p2,sK165(uri_ex_p1,X0),sK166(uri_ex_p1,X0))
| ~ ip(X0)
| iext(uri_rdfs_range,uri_ex_p1,X0) )
| ~ spl251_18 ),
inference(forward_subsumption_resolution,[],[f4363,f3030]) ).
fof(f4365,plain,
( ~ ip(uri_ex_c)
| iext(uri_rdfs_range,uri_ex_p1,uri_ex_c)
| ~ spl251_17
| ~ spl251_18 ),
inference(resolution,[],[f4364,f3075]) ).
fof(f4378,plain,
( ~ ip(uri_ex_c)
| ~ spl251_17
| ~ spl251_18 ),
inference(forward_subsumption_resolution,[],[f4365,f2749]) ).
fof(f4383,definition,
( spl251_78
<=> ip(uri_ex_c) ),
introduced(definition,[new_symbols(definition,[spl251_78])],[avatar_definition]) ).
fof(f4385,plain,
( ~ ip(uri_ex_c)
| spl251_78 ),
inference(avatar_component_clause,[],[f4383]) ).
fof(f4407,plain,
( ~ spl251_78
| ~ spl251_17
| ~ spl251_18 ),
inference(avatar_split_clause,[],[f4378,f3029,f3026,f4383]) ).
fof(f4416,plain,
( ! [X0] : ~ iext(uri_rdfs_range,X0,uri_ex_c)
| spl251_78 ),
inference(resolution,[],[f4385,f2306]) ).
fof(f4482,plain,
( $false
| spl251_78 ),
inference(resolution,[],[f4416,f2751]) ).
fof(f4483,plain,
spl251_78,
inference(avatar_contradiction_clause,[],[f4482]) ).
cnf(s11,plain,
( spl251_17
| ~ spl251_18 ),
inference(sat_conversion,[],[f3032]) ).
cnf(s12,plain,
spl251_18,
inference(sat_conversion,[],[f3063]) ).
cnf(s82,plain,
( ~ spl251_17
| ~ spl251_18
| ~ spl251_78 ),
inference(sat_conversion,[],[f4407]) ).
cnf(s84,plain,
spl251_78,
inference(sat_conversion,[],[f4483]) ).
cnf(s85,plain,
( ~ spl251_17
| ~ spl251_18 ),
inference(rat,[],[s82,s84]) ).
cnf(s111,plain,
~ spl251_17,
inference(rat,[],[s85,s12]) ).
cnf(s112,plain,
$false,
inference(rat,[],[s11,s12,s111]) ).
fof(f4484,plain,
$false,
inference(avatar_sat_refutation,[],[s112]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB077+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n009.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Mon Sep 28 07:16:30 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.40 Running first-order theorem proving
% 0.09/0.40 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
% 3.33/1.37 % (2855549)Detected formulas, will run a generic FOF schedule.
% 3.33/1.37 % (2855554)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=2410470678:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.33/1.37 % (2855560)dis-21_1_sil=8000:lcm=predicate:random_seed=1398805281: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)
% 3.33/1.37 % (2855558)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3055347701:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.33/1.37 % (2855557)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3344536190:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.33/1.37 % (2855555)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=2777765048:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.33/1.37 % (2855559)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1663541230:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.33/1.37 % (2855556)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=991607909:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.33/1.37 % (2855557)Refutation not found, incomplete strategy
% 3.33/1.37 % (2855557)------------------------------
% 3.33/1.37 % (2855557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.37 % (2855557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.37 % (2855557)CaDiCaL version: 2.1.3
% 3.33/1.37 % (2855557)Termination reason: Refutation not found, incomplete strategy
% 3.33/1.37 % (2855557)Time elapsed: 0.003 s
% 3.33/1.37 % (2855557)Peak memory usage: 88 MB
% 3.33/1.37 % (2855557)Instructions burned: 2 (million)
% 3.33/1.37 % (2855558)Refutation not found, incomplete strategy
% 3.33/1.37 % (2855558)------------------------------
% 3.33/1.37 % (2855558)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.37 % (2855558)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.37 % (2855558)CaDiCaL version: 2.1.3
% 3.33/1.37 % (2855558)Termination reason: Refutation not found, incomplete strategy
% 3.33/1.37 % (2855558)Time elapsed: 0.003 s
% 3.33/1.37 % (2855558)Peak memory usage: 88 MB
% 3.33/1.37 % (2855558)Instructions burned: 3 (million)
% 3.33/1.37 % (2855560)Instruction limit reached!
% 3.33/1.37 % (2855560)------------------------------
% 3.33/1.37 % (2855560)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.33/1.37 % (2855560)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.33/1.37 % (2855560)CaDiCaL version: 2.1.3
% 3.33/1.37 % (2855560)Termination reason: Instruction limit
% 3.33/1.37 % (2855560)Termination phase: Saturation
% 3.33/1.37 % (2855560)Time elapsed: 0.069 s
% 3.33/1.37 % (2855560)Peak memory usage: 90 MB
% 3.33/1.37 % (2855560)Instructions burned: 130 (million)
% 3.33/1.37 % (2855559)First to succeed.
% 3.33/1.37 % (2855559)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2855549"
% 3.33/1.37 % (2855568)lrs+10_1_sil=8000:sp=occurrence:random_seed=1561140933:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.33/1.37 % (2855568)Also succeeded, but the first one will report.
% 3.33/1.37 % (2855558)------------------------------
% 3.33/1.37 % (2855558)------------------------------
% 3.33/1.37 % (2855557)------------------------------
% 3.33/1.37 % (2855557)------------------------------
% 3.33/1.37 % (2855559)Refutation found. Thanks to Tanya!
% 3.33/1.37 % SZS status Theorem for theBenchmark
% 3.33/1.37 % SZS output start Proof for theBenchmark
% See solution above
% 4.20/1.57 % (2855559)------------------------------
% 4.20/1.57 % (2855559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.20/1.57 % (2855559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.20/1.57 % (2855559)CaDiCaL version: 2.1.3
% 4.20/1.57 % (2855559)Termination reason: Refutation
% 4.20/1.57 % (2855559)Time elapsed: 0.078 s
% 4.20/1.57 % (2855559)Peak memory usage: 92 MB
% 4.20/1.57 % (2855559)Instructions burned: 123 (million)
% 4.20/1.57 % (2855559)------------------------------
% 4.20/1.57 % (2855559)------------------------------
% 4.20/1.57 % (2855549)Success in time 0.527 s
% 4.20/1.57 % Vampire exiting
%------------------------------------------------------------------------------