%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB087+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 01:00:23 PM UTC 2026
% Result : Theorem 0.17s 1.70s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 6
% Syntax : Number of formulae : 33 ( 14 unt; 2 def)
% Number of atoms : 70 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 70 ( 33 ~; 25 |; 5 &)
% ( 6 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 8 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f25,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f314,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_hasSelf,X0,X2)
& iext(uri_owl_onProperty,X0,X1) )
=> ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X3) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_restrict_hasself) ).
fof(f559,conjecture,
iext(uri_rdf_type,uri_ex_w,uri_ex_z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_hasself_inst_subj) ).
fof(f560,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_owl_hasSelf,uri_ex_z,literal_typed(dat_str_true,uri_xsd_boolean))
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_ex_p,uri_ex_w,uri_ex_w) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_hasself_inst_subj) ).
fof(f562,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(flattening,[],[f560]) ).
fof(f590,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X3) )
| ~ iext(uri_owl_hasSelf,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(ennf_transformation,[],[f314]) ).
fof(f591,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> iext(X1,X3,X3) )
| ~ iext(uri_owl_hasSelf,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(flattening,[],[f590]) ).
fof(f604,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(f605,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ~ iext(X1,X3,X3) )
& ( iext(X1,X3,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_hasSelf,X0,X2)
| ~ iext(uri_owl_onProperty,X0,X1) ),
inference(nnf_transformation,[],[f591]) ).
fof(f606,plain,
~ iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(cnf_transformation,[],[f562]) ).
fof(f608,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f604]) ).
fof(f609,plain,
iext(uri_ex_p,uri_ex_w,uri_ex_w),
inference(cnf_transformation,[],[f561]) ).
fof(f610,plain,
iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(cnf_transformation,[],[f561]) ).
fof(f611,plain,
iext(uri_owl_hasSelf,uri_ex_z,literal_typed(dat_str_true,uri_xsd_boolean)),
inference(cnf_transformation,[],[f561]) ).
fof(f613,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(X1,X3,X3)
| ~ iext(uri_owl_hasSelf,X0,X2)
| icext(X0,X3) ),
inference(cnf_transformation,[],[f605]) ).
fof(f626,plain,
~ icext(uri_ex_z,uri_ex_w),
inference(resolution,[],[f608,f606]) ).
fof(f632,definition,
( spl0_1
<=> ! [X1] : ~ iext(uri_owl_hasSelf,uri_ex_z,X1) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f633,plain,
( ! [X1] : ~ iext(uri_owl_hasSelf,uri_ex_z,X1)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f632]) ).
fof(f638,plain,
! [X0,X1] :
( ~ iext(uri_ex_p,X0,X0)
| ~ iext(uri_owl_hasSelf,uri_ex_z,X1)
| icext(uri_ex_z,X0) ),
inference(resolution,[],[f613,f610]) ).
fof(f640,definition,
( spl0_3
<=> ! [X0] :
( ~ iext(uri_ex_p,X0,X0)
| icext(uri_ex_z,X0) ) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f641,plain,
( ! [X0] :
( ~ iext(uri_ex_p,X0,X0)
| icext(uri_ex_z,X0) )
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f640]) ).
fof(f642,plain,
( spl0_1
| spl0_3 ),
inference(avatar_split_clause,[],[f638,f640,f632]) ).
fof(f643,plain,
( $false
| ~ spl0_1 ),
inference(resolution,[],[f633,f611]) ).
fof(f644,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f643]) ).
fof(f645,plain,
( icext(uri_ex_z,uri_ex_w)
| ~ spl0_3 ),
inference(resolution,[],[f641,f609]) ).
fof(f647,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f645,f626]) ).
fof(f648,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f647]) ).
cnf(s2,plain,
( spl0_1
| spl0_3 ),
inference(sat_conversion,[],[f642]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f644]) ).
cnf(s4,plain,
~ spl0_3,
inference(sat_conversion,[],[f648]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s2,s4,s3]) ).
fof(f649,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB087+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.40 % Computer : n009.cluster.edu
% 0.12/0.40 % Model : x86_64 x86_64
% 0.12/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.40 % Memory : 8046.5625MB
% 0.12/0.40 % OS : Linux 6.8.0-71-generic
% 0.12/0.40 % CPULimit : 300
% 0.12/0.40 % WCLimit : 300
% 0.12/0.40 % DateTime : Mon Sep 28 07:18:16 UTC 2026
% 0.12/0.40 % CPUTime :
% 0.12/0.40 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.44 Running first-order theorem proving
% 0.12/0.44 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
% 0.17/1.70 % (2857336)Detected formulas, will run a generic FOF schedule.
% 0.17/1.70 % (2857341)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=3227353107:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 0.17/1.70 % (2857346)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=161003228:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 0.17/1.70 % (2857344)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2442849102:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 0.17/1.70 % (2857347)dis-21_1_sil=8000:lcm=predicate:random_seed=4213009690: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)
% 0.17/1.70 % (2857342)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=2277713615:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 0.17/1.70 % (2857343)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=1933816610:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 0.17/1.70 % (2857344)Refutation not found, incomplete strategy
% 0.17/1.70 % (2857344)------------------------------
% 0.17/1.70 % (2857344)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2857344)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2857344)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2857344)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.70 % (2857344)Time elapsed: 0.002 s
% 0.17/1.70 % (2857344)Peak memory usage: 87 MB
% 0.17/1.70 % (2857344)Instructions burned: 1 (million)
% 0.17/1.70 % (2857345)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1173875598:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 0.17/1.70 % (2857345)Refutation not found, incomplete strategy
% 0.17/1.70 % (2857345)------------------------------
% 0.17/1.70 % (2857345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2857345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2857345)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2857345)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.70 % (2857345)Time elapsed: 0.002 s
% 0.17/1.70 % (2857345)Peak memory usage: 87 MB
% 0.17/1.70 % (2857345)Instructions burned: 1 (million)
% 0.17/1.70 % (2857347)Instruction limit reached!
% 0.17/1.70 % (2857347)------------------------------
% 0.17/1.70 % (2857347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2857347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2857347)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2857347)Termination reason: Instruction limit
% 0.17/1.70 % (2857347)Termination phase: Saturation
% 0.17/1.70 % (2857347)Time elapsed: 0.069 s
% 0.17/1.70 % (2857347)Peak memory usage: 91 MB
% 0.17/1.70 % (2857347)Instructions burned: 131 (million)
% 0.17/1.70 % (2857346)Instruction limit reached!
% 0.17/1.70 % (2857346)------------------------------
% 0.17/1.70 % (2857346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2857346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2857346)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2857346)Termination reason: Instruction limit
% 0.17/1.70 % (2857346)Termination phase: Saturation
% 0.17/1.70 % (2857346)Time elapsed: 0.083 s
% 0.17/1.70 % (2857346)Peak memory usage: 91 MB
% 0.17/1.70 % (2857346)Instructions burned: 140 (million)
% 0.17/1.70 % (2857355)lrs+10_1_sil=8000:sp=occurrence:random_seed=2207318023:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 0.17/1.70 % (2857355)First to succeed.
% 0.17/1.70 % (2857355)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2857336"
% 0.17/1.70 % (2857356)lrs+10_1_sil=32000:urr=on:br=off:random_seed=197965303:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 0.17/1.70 % (2857356)Refutation not found, incomplete strategy
% 0.17/1.70 % (2857356)------------------------------
% 0.17/1.70 % (2857356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2857356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2857356)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2857356)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.70 % (2857356)Time elapsed: 0.004 s
% 0.17/1.70 % (2857356)Peak memory usage: 88 MB
% 0.17/1.70 % (2857356)Instructions burned: 5 (million)
% 0.17/1.70 % (2857344)------------------------------
% 0.17/1.70 % (2857344)------------------------------
% 0.17/1.70 % (2857345)------------------------------
% 0.17/1.70 % (2857345)------------------------------
% 0.17/1.70 % (2857359)lrs+1011_1_sil=32000:sp=occurrence:random_seed=2578251212:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 0.17/1.70 % (2857359)Refutation not found, incomplete strategy
% 0.17/1.70 % (2857359)------------------------------
% 0.17/1.70 % (2857359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2857359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2857359)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2857359)Termination reason: Refutation not found, incomplete strategy
% 0.17/1.70 % (2857359)Time elapsed: 0.003 s
% 0.17/1.70 % (2857359)Peak memory usage: 88 MB
% 0.17/1.70 % (2857359)Instructions burned: 2 (million)
% 0.17/1.70 % (2857341)Also succeeded, but the first one will report.
% 0.17/1.70 % (2857360)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=2404715184:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 0.17/1.70 % (2857360)Also succeeded, but the first one will report.
% 0.17/1.70 % (2857355)Refutation found. Thanks to Tanya!
% 0.17/1.70 % SZS status Theorem for theBenchmark
% 0.17/1.70 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/1.70 % (2857355)------------------------------
% 0.17/1.70 % (2857355)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.70 % (2857355)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.70 % (2857355)CaDiCaL version: 2.1.3
% 0.17/1.70 % (2857355)Termination reason: Refutation
% 0.17/1.70 % (2857355)Time elapsed: 0.004 s
% 0.17/1.70 % (2857355)Peak memory usage: 90 MB
% 0.17/1.70 % (2857355)Instructions burned: 3 (million)
% 0.17/1.70 % (2857355)------------------------------
% 0.17/1.70 % (2857355)------------------------------
% 0.17/1.70 % (2857336)Success in time 0.625 s
% 0.17/1.70 % Vampire exiting
%------------------------------------------------------------------------------