%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB007+2 : 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 : n002.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 12:59:59 PM UTC 2026
% Result : Theorem 3.46s 1.46s
% Output : Refutation 3.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 31 ( 16 unt; 3 def)
% Number of atoms : 56 ( 5 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 42 ( 17 ~; 13 |; 8 &)
% ( 4 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 4 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 6 ( 0 sgn 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f2,conjecture,
( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_007_Equal_Classes) ).
fof(f3,negated_conjecture,
~ ( iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
inference(negated_conjecture,[status(cth)],[f2]) ).
fof(f4,axiom,
( iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1)
& iext(uri_rdfs_range,uri_ex_p,uri_ex_c1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_007_Equal_Classes) ).
fof(f5,plain,
( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
inference(ennf_transformation,[],[f3]) ).
fof(f6,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f7,plain,
! [X0,X1] :
( ~ iext(uri_owl_sameAs,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f6]) ).
fof(f9,plain,
( ~ iext(uri_rdf_type,uri_ex_w,uri_ex_c2)
| ~ iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2)
| ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
inference(cnf_transformation,[],[f5]) ).
fof(f10,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c1),
inference(cnf_transformation,[],[f4]) ).
fof(f11,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c1),
inference(cnf_transformation,[],[f4]) ).
fof(f12,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c1),
inference(cnf_transformation,[],[f4]) ).
fof(f13,plain,
iext(uri_owl_sameAs,uri_ex_c1,uri_ex_c2),
inference(cnf_transformation,[],[f4]) ).
fof(f16,definition,
( spl0_1
<=> iext(uri_rdfs_range,uri_ex_p,uri_ex_c2) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f18,plain,
( ~ iext(uri_rdfs_range,uri_ex_p,uri_ex_c2)
| spl0_1 ),
inference(avatar_component_clause,[],[f16]) ).
fof(f20,definition,
( spl0_2
<=> iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f24,definition,
( spl0_3
<=> iext(uri_rdf_type,uri_ex_w,uri_ex_c2) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f27,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(avatar_split_clause,[],[f9,f24,f20,f16]) ).
fof(f28,plain,
uri_ex_c2 = uri_ex_c1,
inference(resolution,[],[f7,f13]) ).
fof(f31,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c2),
inference(superposition,[],[f12,f28]) ).
fof(f32,plain,
iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_c2),
inference(superposition,[],[f11,f28]) ).
fof(f33,plain,
iext(uri_rdfs_range,uri_ex_p,uri_ex_c2),
inference(superposition,[],[f10,f28]) ).
fof(f34,plain,
( $false
| spl0_1 ),
inference(forward_subsumption_resolution,[],[f33,f18]) ).
fof(f35,plain,
spl0_1,
inference(avatar_contradiction_clause,[],[f34]) ).
fof(f36,plain,
spl0_2,
inference(avatar_split_clause,[],[f32,f20]) ).
fof(f37,plain,
spl0_3,
inference(avatar_split_clause,[],[f31,f24]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2
| ~ spl0_3 ),
inference(sat_conversion,[],[f27]) ).
cnf(s2,plain,
spl0_1,
inference(sat_conversion,[],[f35]) ).
cnf(s3,plain,
spl0_2,
inference(sat_conversion,[],[f36]) ).
cnf(s4,plain,
spl0_3,
inference(sat_conversion,[],[f37]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3,s2]) ).
fof(f38,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB007+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n002.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 06:58:07 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.46/1.46 % (171960)Detected formulas, will run a generic FOF schedule.
% 3.46/1.46 % (171968)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=3318564797:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.46/1.46 % (171966)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=1337495682:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.46/1.46 % (171970)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3397317999:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.46/1.46 % (171969)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2213629796:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.46/1.46 % (171967)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=778714085:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.46/1.46 % (171972)dis-21_1_sil=8000:lcm=predicate:random_seed=2847227960: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)
% 3.46/1.46 % (171971)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=694990879:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.46/1.46 % (171970)Refutation not found, incomplete strategy
% 3.46/1.46 % (171970)------------------------------
% 3.46/1.46 % (171970)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.46 % (171970)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.46 % (171970)CaDiCaL version: 2.1.3
% 3.46/1.46 % (171970)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.46 % (171970)Time elapsed: 0.0000 s
% 3.46/1.46 % (171970)Peak memory usage: 86 MB
% 3.46/1.46 % (171969)Refutation not found, incomplete strategy
% 3.46/1.46 % (171969)------------------------------
% 3.46/1.46 % (171969)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.46 % (171969)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.46 % (171969)CaDiCaL version: 2.1.3
% 3.46/1.46 % (171969)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.46 % (171969)Time elapsed: 0.0000 s
% 3.46/1.46 % (171969)Peak memory usage: 86 MB
% 3.46/1.46 % (171972)Refutation not found, incomplete strategy
% 3.46/1.46 % (171972)------------------------------
% 3.46/1.46 % (171972)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.46 % (171972)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.46 % (171972)CaDiCaL version: 2.1.3
% 3.46/1.46 % (171972)Termination reason: Refutation not found, incomplete strategy
% 3.46/1.46 % (171972)Time elapsed: 0.001 s
% 3.46/1.46 % (171972)Peak memory usage: 88 MB
% 3.46/1.46 % (171971)First to succeed.
% 3.46/1.46 % (171971)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-171960"
% 3.46/1.46 % (171969)------------------------------
% 3.46/1.46 % (171969)------------------------------
% 3.46/1.46 % (171972)------------------------------
% 3.46/1.46 % (171972)------------------------------
% 3.46/1.46 % (171970)------------------------------
% 3.46/1.46 % (171970)------------------------------
% 3.46/1.46 % (171971)Refutation found. Thanks to Tanya!
% 3.46/1.46 % SZS status Theorem for theBenchmark
% 3.46/1.46 % SZS output start Proof for theBenchmark
% See solution above
% 3.46/1.46 % (171971)------------------------------
% 3.46/1.46 % (171971)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.46/1.46 % (171971)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.46/1.46 % (171971)CaDiCaL version: 2.1.3
% 3.46/1.46 % (171971)Termination reason: Refutation
% 3.46/1.46 % (171971)Time elapsed: 0.002 s
% 3.46/1.46 % (171971)Peak memory usage: 89 MB
% 3.46/1.46 % (171971)Instructions burned: 1 (million)
% 3.46/1.46 % (171971)------------------------------
% 3.46/1.46 % (171971)------------------------------
% 3.46/1.46 % (171960)Success in time 0.403 s
% 3.46/1.46 % Vampire exiting
%------------------------------------------------------------------------------