%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB049+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 : n003.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 01:00:18 PM UTC 2026
% Result : Theorem 5.42s 1.95s
% Output : Refutation 5.42s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 8
% Syntax : Number of formulae : 38 ( 12 unt; 0 def)
% Number of atoms : 147 ( 0 equ)
% Maximal formula atoms : 14 ( 3 avg)
% Number of connectives : 175 ( 66 ~; 66 |; 37 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 5 con; 0-2 aty)
% Number of variables : 77 ( 68 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1,X2] :
( iext(X1,X0,X2)
=> ip(X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_iext_property) ).
fof(f2,axiom,
! [X0] : ir(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',simple_ir) ).
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(f268,axiom,
! [X0,X1] :
( iext(uri_owl_topObjectProperty,X0,X1)
<=> ( ir(X0)
& ir(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_topobjectproperty_ext) ).
fof(f352,axiom,
! [X0,X1] :
( iext(uri_owl_equivalentProperty,X0,X1)
<=> ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( iext(X0,X2,X3)
<=> iext(X1,X2,X3) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_equivalentproperty) ).
fof(f396,axiom,
! [X0] :
( icext(uri_owl_ReflexiveProperty,X0)
<=> ( ip(X0)
& ! [X1] : iext(X0,X1,X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_reflexive) ).
fof(f559,conjecture,
iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_char_reflexive_ext) ).
fof(f560,negated_conjecture,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_char_reflexive_ext) ).
fof(f562,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
inference(flattening,[],[f560]) ).
fof(f566,plain,
! [X0,X1,X2] :
( ip(X1)
| ~ iext(X1,X0,X2) ),
inference(ennf_transformation,[],[f1]) ).
fof(f572,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(f573,plain,
! [X0] :
( ( icext(uri_owl_ReflexiveProperty,X0)
| ~ ip(X0)
| ? [X1] : ~ iext(X0,X1,X1) )
& ( ( ip(X0)
& ! [X1] : iext(X0,X1,X1) )
| ~ icext(uri_owl_ReflexiveProperty,X0) ) ),
inference(nnf_transformation,[],[f396]) ).
fof(f574,plain,
! [X0] :
( ( icext(uri_owl_ReflexiveProperty,X0)
| ~ ip(X0)
| ? [X1] : ~ iext(X0,X1,X1) )
& ( ( ip(X0)
& ! [X1] : iext(X0,X1,X1) )
| ~ icext(uri_owl_ReflexiveProperty,X0) ) ),
inference(flattening,[],[f573]) ).
fof(f575,plain,
! [X0] :
( ( icext(uri_owl_ReflexiveProperty,X0)
| ~ ip(X0)
| ? [X1] : ~ iext(X0,X1,X1) )
& ( ( ip(X0)
& ! [X2] : iext(X0,X2,X2) )
| ~ icext(uri_owl_ReflexiveProperty,X0) ) ),
inference(rectify,[],[f574]) ).
fof(f576,plain,
! [X0] :
( ( icext(uri_owl_ReflexiveProperty,X0)
| ~ ip(X0)
| ~ iext(X0,sK0(X0),sK0(X0)) )
& ( ( ip(X0)
& ! [X2] : iext(X0,X2,X2) )
| ~ icext(uri_owl_ReflexiveProperty,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X1,sK0(X0))],[f575]) ).
fof(f577,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X2,X3)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X2,X3) )
& ( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_equivalentProperty,X0,X1) ) ),
inference(nnf_transformation,[],[f352]) ).
fof(f578,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X2,X3)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X2,X3] :
( ( iext(X0,X2,X3)
| ~ iext(X1,X2,X3) )
& ( iext(X1,X2,X3)
| ~ iext(X0,X2,X3) ) ) )
| ~ iext(uri_owl_equivalentProperty,X0,X1) ) ),
inference(flattening,[],[f577]) ).
fof(f579,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ? [X2,X3] :
( ( ~ iext(X1,X2,X3)
| ~ iext(X0,X2,X3) )
& ( iext(X1,X2,X3)
| iext(X0,X2,X3) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X4,X5) )
& ( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) ) )
| ~ iext(uri_owl_equivalentProperty,X0,X1) ) ),
inference(rectify,[],[f578]) ).
fof(f580,plain,
! [X0,X1] :
( ( iext(uri_owl_equivalentProperty,X0,X1)
| ~ ip(X0)
| ~ ip(X1)
| ( ( ~ iext(X1,sK1(X0,X1),sK2(X0,X1))
| ~ iext(X0,sK1(X0,X1),sK2(X0,X1)) )
& ( iext(X1,sK1(X0,X1),sK2(X0,X1))
| iext(X0,sK1(X0,X1),sK2(X0,X1)) ) ) )
& ( ( ip(X0)
& ip(X1)
& ! [X4,X5] :
( ( iext(X0,X4,X5)
| ~ iext(X1,X4,X5) )
& ( iext(X1,X4,X5)
| ~ iext(X0,X4,X5) ) ) )
| ~ iext(uri_owl_equivalentProperty,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1,sK2]),skolemize(X2,sK1(X0,X1)),skolemize(X3,sK2(X0,X1))],[f579]) ).
fof(f581,plain,
! [X0,X1] :
( ( iext(uri_owl_topObjectProperty,X0,X1)
| ~ ir(X0)
| ~ ir(X1) )
& ( ( ir(X0)
& ir(X1) )
| ~ iext(uri_owl_topObjectProperty,X0,X1) ) ),
inference(nnf_transformation,[],[f268]) ).
fof(f582,plain,
! [X0,X1] :
( ( iext(uri_owl_topObjectProperty,X0,X1)
| ~ ir(X0)
| ~ ir(X1) )
& ( ( ir(X0)
& ir(X1) )
| ~ iext(uri_owl_topObjectProperty,X0,X1) ) ),
inference(flattening,[],[f581]) ).
fof(f584,plain,
~ iext(uri_rdf_type,uri_ex_p,uri_owl_ReflexiveProperty),
inference(cnf_transformation,[],[f562]) ).
fof(f586,plain,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) ),
inference(cnf_transformation,[],[f572]) ).
fof(f589,plain,
! [X0] :
( icext(uri_owl_ReflexiveProperty,X0)
| ~ ip(X0)
| ~ iext(X0,sK0(X0),sK0(X0)) ),
inference(cnf_transformation,[],[f576]) ).
fof(f592,plain,
iext(uri_owl_equivalentProperty,uri_ex_p,uri_owl_topObjectProperty),
inference(cnf_transformation,[],[f561]) ).
fof(f593,plain,
! [X2,X0,X1] :
( ~ iext(X1,X0,X2)
| ip(X1) ),
inference(cnf_transformation,[],[f566]) ).
fof(f595,plain,
! [X0,X1,X4,X5] :
( iext(X0,X4,X5)
| ~ iext(X1,X4,X5)
| ~ iext(uri_owl_equivalentProperty,X0,X1) ),
inference(cnf_transformation,[],[f580]) ).
fof(f606,plain,
! [X0,X1] :
( iext(uri_owl_topObjectProperty,X0,X1)
| ~ ir(X0)
| ~ ir(X1) ),
inference(cnf_transformation,[],[f582]) ).
fof(f613,plain,
! [X0] : ir(X0),
inference(cnf_transformation,[],[f2]) ).
fof(f617,plain,
~ icext(uri_owl_ReflexiveProperty,uri_ex_p),
inference(resolution,[],[f586,f584]) ).
fof(f624,plain,
! [X0,X1] :
( iext(uri_owl_topObjectProperty,X0,X1)
| ~ ir(X1) ),
inference(forward_subsumption_resolution,[],[f606,f613]) ).
fof(f625,plain,
! [X0,X1] : iext(uri_owl_topObjectProperty,X0,X1),
inference(forward_subsumption_resolution,[],[f624,f613]) ).
fof(f629,plain,
! [X0] :
( ~ iext(X0,sK0(X0),sK0(X0))
| icext(uri_owl_ReflexiveProperty,X0) ),
inference(forward_subsumption_resolution,[],[f589,f593]) ).
fof(f646,plain,
! [X0,X1] :
( ~ iext(X0,sK0(X1),sK0(X1))
| ~ iext(uri_owl_equivalentProperty,X1,X0)
| icext(uri_owl_ReflexiveProperty,X1) ),
inference(resolution,[],[f595,f629]) ).
fof(f805,plain,
! [X0] :
( ~ iext(uri_owl_equivalentProperty,X0,uri_owl_topObjectProperty)
| icext(uri_owl_ReflexiveProperty,X0) ),
inference(resolution,[],[f646,f625]) ).
fof(f1098,plain,
icext(uri_owl_ReflexiveProperty,uri_ex_p),
inference(resolution,[],[f805,f592]) ).
fof(f1104,plain,
$false,
inference(forward_subsumption_resolution,[],[f1098,f617]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB049+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n003.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Mon Sep 28 07:14:12 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.11/0.43 Running first-order theorem proving
% 0.11/0.43 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
% 5.42/1.95 % (1401051)Detected formulas, will run a generic FOF schedule.
% 5.42/1.95 % (1401076)dis-21_1_sil=8000:lcm=predicate:random_seed=3616788057: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)
% 5.42/1.95 % (1401072)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=582894796:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 5.42/1.95 % (1401074)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=3999659765:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 5.42/1.95 % (1401070)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=899097353:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 5.42/1.95 % (1401071)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=3045429816:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 5.42/1.95 % (1401073)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1952513586:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 5.42/1.95 % (1401073)Refutation not found, incomplete strategy
% 5.42/1.95 % (1401073)------------------------------
% 5.42/1.95 % (1401073)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.42/1.95 % (1401073)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.95 % (1401073)CaDiCaL version: 2.1.3
% 5.42/1.95 % (1401073)Termination reason: Refutation not found, incomplete strategy
% 5.42/1.95 % (1401073)Time elapsed: 0.003 s
% 5.42/1.95 % (1401073)Peak memory usage: 88 MB
% 5.42/1.95 % (1401073)Instructions burned: 2 (million)
% 5.42/1.95 % (1401076)Instruction limit reached!
% 5.42/1.95 % (1401076)------------------------------
% 5.42/1.95 % (1401076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.42/1.95 % (1401076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.95 % (1401076)CaDiCaL version: 2.1.3
% 5.42/1.95 % (1401076)Termination reason: Instruction limit
% 5.42/1.95 % (1401076)Termination phase: Saturation
% 5.42/1.95 % (1401076)Time elapsed: 0.064 s
% 5.42/1.95 % (1401076)Peak memory usage: 91 MB
% 5.42/1.95 % (1401076)Instructions burned: 129 (million)
% 5.42/1.95 % (1401075)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2991052090:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 5.42/1.95 % (1401074)First to succeed.
% 5.42/1.95 % (1401074)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1401051"
% 5.42/1.95 % (1401075)Also succeeded, but the first one will report.
% 5.42/1.95 % (1401083)lrs+10_1_sil=8000:sp=occurrence:random_seed=2555413212:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 5.42/1.95 % (1401083)Also succeeded, but the first one will report.
% 5.42/1.95 % (1401073)------------------------------
% 5.42/1.95 % (1401073)------------------------------
% 5.42/1.95 % (1401074)Refutation found. Thanks to Tanya!
% 5.42/1.95 % SZS status Theorem for theBenchmark
% 5.42/1.95 % SZS output start Proof for theBenchmark
% See solution above
% 5.42/1.95 % (1401074)------------------------------
% 5.42/1.95 % (1401074)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.42/1.95 % (1401074)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.42/1.95 % (1401074)CaDiCaL version: 2.1.3
% 5.42/1.95 % (1401074)Termination reason: Refutation
% 5.42/1.95 % (1401074)Time elapsed: 0.021 s
% 5.42/1.95 % (1401074)Peak memory usage: 88 MB
% 5.42/1.95 % (1401074)Instructions burned: 21 (million)
% 5.42/1.95 % (1401074)------------------------------
% 5.42/1.95 % (1401074)------------------------------
% 5.42/1.95 % (1401051)Success in time 0.661 s
% 5.42/1.95 % Vampire exiting
%------------------------------------------------------------------------------