%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB096+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 : n004.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 01:00:25 PM UTC 2026
% Result : Theorem 0.16s 1.71s
% Output : Refutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 4
% Syntax : Number of formulae : 33 ( 7 unt; 0 def)
% Number of atoms : 112 ( 0 equ)
% Maximal formula atoms : 9 ( 3 avg)
% Number of connectives : 147 ( 68 ~; 57 |; 17 &)
% ( 4 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 6 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 10 con; 0-3 aty)
% Number of variables : 62 ( 55 !; 7 ?)
% 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(f337,axiom,
! [X0,X1,X2] :
( ( iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,X0,X1)
& iext(uri_owl_onClass,X0,X2) )
=> ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_restrict_minqcr_object_001) ).
fof(f559,conjecture,
? [X0] :
( iext(uri_rdf_type,X0,uri_ex_c)
& iext(uri_ex_p,uri_ex_w,X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_restrict_minqcr_inst_obj_one) ).
fof(f560,negated_conjecture,
~ ? [X0] :
( iext(uri_rdf_type,X0,uri_ex_c)
& iext(uri_ex_p,uri_ex_w,X0) ),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
& iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
& iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
& iext(uri_rdf_type,uri_ex_w,uri_ex_z) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_restrict_minqcr_inst_obj_one) ).
fof(f576,plain,
! [X0] :
( ~ iext(uri_rdf_type,X0,uri_ex_c)
| ~ iext(uri_ex_p,uri_ex_w,X0) ),
inference(ennf_transformation,[],[f560]) ).
fof(f579,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(ennf_transformation,[],[f337]) ).
fof(f580,plain,
! [X0,X1,X2] :
( ! [X3] :
( icext(X0,X3)
<=> ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(flattening,[],[f579]) ).
fof(f600,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(f601,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ? [X4] :
( iext(X1,X3,X4)
& icext(X2,X4) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(nnf_transformation,[],[f580]) ).
fof(f602,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ? [X5] :
( iext(X1,X3,X5)
& icext(X2,X5) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(rectify,[],[f601]) ).
fof(f603,plain,
! [X0,X1,X2] :
( ! [X3] :
( ( icext(X0,X3)
| ! [X4] :
( ~ iext(X1,X3,X4)
| ~ icext(X2,X4) ) )
& ( ( iext(X1,X3,sK3(X1,X2,X3))
& icext(X2,sK3(X1,X2,X3)) )
| ~ icext(X0,X3) ) )
| ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3]),skolemize(X5,sK3(X1,X2,X3))],[f602]) ).
fof(f623,plain,
! [X0] :
( ~ iext(uri_ex_p,uri_ex_w,X0)
| ~ iext(uri_rdf_type,X0,uri_ex_c) ),
inference(cnf_transformation,[],[f576]) ).
fof(f624,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f600]) ).
fof(f625,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f600]) ).
fof(f626,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_z),
inference(cnf_transformation,[],[f561]) ).
fof(f627,plain,
iext(uri_owl_onClass,uri_ex_z,uri_ex_c),
inference(cnf_transformation,[],[f561]) ).
fof(f628,plain,
iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(cnf_transformation,[],[f561]) ).
fof(f629,plain,
iext(uri_owl_minQualifiedCardinality,uri_ex_z,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger)),
inference(cnf_transformation,[],[f561]) ).
fof(f633,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ icext(X0,X3)
| icext(X2,sK3(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f603]) ).
fof(f634,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_minQualifiedCardinality,X0,literal_typed(dat_str_1,uri_xsd_nonNegativeInteger))
| ~ icext(X0,X3)
| iext(X1,X3,sK3(X1,X2,X3))
| ~ iext(uri_owl_onProperty,X0,X1)
| ~ iext(uri_owl_onClass,X0,X2) ),
inference(cnf_transformation,[],[f603]) ).
fof(f685,plain,
icext(uri_ex_z,uri_ex_w),
inference(resolution,[],[f624,f626]) ).
fof(f850,plain,
! [X2,X0,X1] :
( icext(X1,sK3(X2,X1,X0))
| ~ icext(uri_ex_z,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z,X2)
| ~ iext(uri_owl_onClass,uri_ex_z,X1) ),
inference(resolution,[],[f633,f629]) ).
fof(f874,plain,
! [X2,X0,X1] :
( iext(X1,X0,sK3(X1,X2,X0))
| ~ icext(uri_ex_z,X0)
| ~ iext(uri_owl_onProperty,uri_ex_z,X1)
| ~ iext(uri_owl_onClass,uri_ex_z,X2) ),
inference(resolution,[],[f634,f629]) ).
fof(f888,plain,
! [X0] :
( ~ icext(uri_ex_z,uri_ex_w)
| ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_z,X0)
| ~ iext(uri_rdf_type,sK3(uri_ex_p,X0,uri_ex_w),uri_ex_c) ),
inference(resolution,[],[f874,f623]) ).
fof(f889,plain,
! [X0] :
( ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_z,X0)
| ~ iext(uri_rdf_type,sK3(uri_ex_p,X0,uri_ex_w),uri_ex_c) ),
inference(forward_subsumption_resolution,[],[f888,f685]) ).
fof(f928,plain,
! [X0] :
( ~ iext(uri_rdf_type,sK3(uri_ex_p,X0,uri_ex_w),uri_ex_c)
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(forward_subsumption_resolution,[],[f889,f628]) ).
fof(f930,plain,
! [X0] :
( ~ icext(uri_ex_c,sK3(uri_ex_p,X0,uri_ex_w))
| ~ iext(uri_owl_onClass,uri_ex_z,X0) ),
inference(resolution,[],[f928,f625]) ).
fof(f932,plain,
( ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
| ~ icext(uri_ex_z,uri_ex_w)
| ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p)
| ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c) ),
inference(resolution,[],[f930,f850]) ).
fof(f933,plain,
( ~ iext(uri_owl_onClass,uri_ex_z,uri_ex_c)
| ~ icext(uri_ex_z,uri_ex_w)
| ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p) ),
inference(duplicate_literal_removal,[],[f932]) ).
fof(f934,plain,
( ~ icext(uri_ex_z,uri_ex_w)
| ~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p) ),
inference(forward_subsumption_resolution,[],[f933,f627]) ).
fof(f935,plain,
~ iext(uri_owl_onProperty,uri_ex_z,uri_ex_p),
inference(forward_subsumption_resolution,[],[f934,f685]) ).
fof(f936,plain,
$false,
inference(forward_subsumption_resolution,[],[f935,f628]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB096+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.39 % Computer : n004.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 07:20:22 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.42 Running first-order theorem proving
% 0.11/0.42 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
% 2.20/1.50 % (175368)Detected formulas, will run a generic FOF schedule.
% 2.20/1.50 % (175375)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=4088837545:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 2.20/1.50 % (175376)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3921458911:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 2.20/1.50 % (175374)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=2818503695:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 2.20/1.50 % (175379)dis-21_1_sil=8000:lcm=predicate:random_seed=3928929131: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)
% 2.20/1.50 % (175377)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1361908291:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 2.20/1.50 % (175373)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=673889911:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 2.20/1.50 % (175378)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1845111819:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 2.20/1.50 % (175377)Refutation not found, incomplete strategy
% 2.20/1.50 % (175377)------------------------------
% 2.20/1.50 % (175377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.20/1.50 % (175377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/1.50 % (175376)Refutation not found, incomplete strategy
% 2.20/1.50 % (175376)------------------------------
% 2.20/1.50 % (175376)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.20/1.50 % (175376)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/1.50 % (175377)CaDiCaL version: 2.1.3
% 2.20/1.50 % (175377)Termination reason: Refutation not found, incomplete strategy
% 2.20/1.50 % (175377)Time elapsed: 0.002 s
% 2.20/1.50 % (175377)Peak memory usage: 86 MB
% 2.20/1.50 % (175376)CaDiCaL version: 2.1.3
% 2.20/1.50 % (175377)Instructions burned: 1 (million)
% 2.20/1.50 % (175376)Termination reason: Refutation not found, incomplete strategy
% 2.20/1.50 % (175376)Time elapsed: 0.002 s
% 2.20/1.50 % (175376)Peak memory usage: 87 MB
% 2.20/1.50 % (175376)Instructions burned: 1 (million)
% 2.20/1.50 % (175379)Instruction limit reached!
% 2.20/1.50 % (175379)------------------------------
% 2.20/1.50 % (175379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.20/1.50 % (175379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/1.50 % (175379)CaDiCaL version: 2.1.3
% 2.20/1.50 % (175379)Termination reason: Instruction limit
% 2.20/1.50 % (175379)Termination phase: Saturation
% 2.20/1.50 % (175379)Time elapsed: 0.067 s
% 2.20/1.50 % (175379)Peak memory usage: 91 MB
% 2.20/1.50 % (175379)Instructions burned: 130 (million)
% 2.20/1.50 % (175378)Instruction limit reached!
% 2.20/1.50 % (175378)------------------------------
% 2.20/1.50 % (175378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.20/1.50 % (175378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/1.51 % (175378)CaDiCaL version: 2.1.3
% 2.20/1.51 % (175378)Termination reason: Instruction limit
% 2.20/1.51 % (175378)Termination phase: Saturation
% 2.20/1.51 % (175378)Time elapsed: 0.082 s
% 2.20/1.51 % (175378)Peak memory usage: 91 MB
% 2.20/1.51 % (175378)Instructions burned: 140 (million)
% 2.20/1.51 % (175387)lrs+10_1_sil=8000:sp=occurrence:random_seed=3447274414:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 2.20/1.51 % (175387)First to succeed.
% 2.20/1.51 % (175387)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-175368"
% 2.20/1.51 % (175388)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2108394196:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 2.20/1.51 % (175388)Refutation not found, incomplete strategy
% 2.20/1.51 % (175388)------------------------------
% 2.20/1.51 % (175388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 2.20/1.51 % (175388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 2.20/1.51 % (175388)CaDiCaL version: 2.1.3
% 0.16/1.71 % (175388)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.71 % (175388)Time elapsed: 0.004 s
% 0.16/1.71 % (175388)Peak memory usage: 88 MB
% 0.16/1.71 % (175388)Instructions burned: 5 (million)
% 0.16/1.71 % (175377)------------------------------
% 0.16/1.71 % (175377)------------------------------
% 0.16/1.71 % (175376)------------------------------
% 0.16/1.71 % (175376)------------------------------
% 0.16/1.71 % (175375)Also succeeded, but the first one will report.
% 0.16/1.71 % (175391)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1627010342:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 0.16/1.71 % (175392)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=120312238:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 0.16/1.71 % (175391)Refutation not found, incomplete strategy
% 0.16/1.71 % (175391)------------------------------
% 0.16/1.71 % (175391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.71 % (175391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.71 % (175391)CaDiCaL version: 2.1.3
% 0.16/1.71 % (175391)Termination reason: Refutation not found, incomplete strategy
% 0.16/1.71 % (175391)Time elapsed: 0.002 s
% 0.16/1.71 % (175391)Peak memory usage: 88 MB
% 0.16/1.71 % (175391)Instructions burned: 2 (million)
% 0.16/1.71 % (175392)Also succeeded, but the first one will report.
% 0.16/1.71 % (175387)Refutation found. Thanks to Tanya!
% 0.16/1.71 % SZS status Theorem for theBenchmark
% 0.16/1.71 % SZS output start Proof for theBenchmark
% See solution above
% 0.16/1.71 % (175387)------------------------------
% 0.16/1.71 % (175387)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.16/1.71 % (175387)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.16/1.71 % (175387)CaDiCaL version: 2.1.3
% 0.16/1.71 % (175387)Termination reason: Refutation
% 0.16/1.71 % (175387)Time elapsed: 0.011 s
% 0.16/1.71 % (175387)Peak memory usage: 89 MB
% 0.16/1.71 % (175387)Instructions burned: 14 (million)
% 0.16/1.71 % (175387)------------------------------
% 0.16/1.71 % (175387)------------------------------
% 0.16/1.71 % (175368)Success in time 0.637 s
% 0.16/1.71 % Vampire exiting
%------------------------------------------------------------------------------