%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB008+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 : n011.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 01:00:00 PM UTC 2026
% Result : Theorem 4.97s 1.69s
% Output : Refutation 4.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 29 ( 12 unt; 0 def)
% Number of atoms : 96 ( 19 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 107 ( 40 ~; 36 |; 25 &)
% ( 5 <=>; 1 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 8 con; 0-1 aty)
% Number of variables : 56 ( 47 !; 9 ?)
% 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(f354,axiom,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
<=> X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_eqdis_sameas) ).
fof(f394,axiom,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( ( iext(X0,X1,X3)
& iext(X0,X2,X3) )
=> X1 = X2 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_char_inversefunctional) ).
fof(f559,conjecture,
iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_008_Inverse_Functional_Data_Properties) ).
fof(f560,negated_conjecture,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_DatatypeProperty)
& iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty)
& iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz))
& iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_008_Inverse_Functional_Data_Properties) ).
fof(f562,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(flattening,[],[f560]) ).
fof(f577,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(ennf_transformation,[],[f394]) ).
fof(f578,plain,
! [X0] :
( icext(uri_owl_InverseFunctionalProperty,X0)
<=> ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) ) ),
inference(flattening,[],[f577]) ).
fof(f581,plain,
! [X0,X1] :
( ( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 )
& ( X0 = X1
| ~ iext(uri_owl_sameAs,X0,X1) ) ),
inference(nnf_transformation,[],[f354]) ).
fof(f582,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(f585,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(nnf_transformation,[],[f578]) ).
fof(f586,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X1,X2,X3] :
( X1 = X2
| ~ iext(X0,X1,X3)
| ~ iext(X0,X2,X3) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(flattening,[],[f585]) ).
fof(f587,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ? [X1,X2,X3] :
( X1 != X2
& iext(X0,X1,X3)
& iext(X0,X2,X3) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X4,X6)
| ~ iext(X0,X5,X6) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(rectify,[],[f586]) ).
fof(f588,plain,
! [X0] :
( ( icext(uri_owl_InverseFunctionalProperty,X0)
| ~ ip(X0)
| ( sK0(X0) != sK1(X0)
& iext(X0,sK0(X0),sK2(X0))
& iext(X0,sK1(X0),sK2(X0)) ) )
& ( ( ip(X0)
& ! [X4,X5,X6] :
( X4 = X5
| ~ iext(X0,X4,X6)
| ~ iext(X0,X5,X6) ) )
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0,sK1,sK2]),skolemize(X1,sK0(X0)),skolemize(X2,sK1(X0)),skolemize(X3,sK2(X0))],[f587]) ).
fof(f589,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_robert),
inference(cnf_transformation,[],[f562]) ).
fof(f591,plain,
! [X0,X1] :
( iext(uri_owl_sameAs,X0,X1)
| X0 != X1 ),
inference(cnf_transformation,[],[f581]) ).
fof(f593,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_robert,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[],[f561]) ).
fof(f594,plain,
iext(uri_foaf_mbox_sha1sum,uri_ex_bob,literal_plain(dat_str_xyz)),
inference(cnf_transformation,[],[f561]) ).
fof(f595,plain,
iext(uri_rdf_type,uri_foaf_mbox_sha1sum,uri_owl_InverseFunctionalProperty),
inference(cnf_transformation,[],[f561]) ).
fof(f598,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f582]) ).
fof(f604,plain,
! [X0,X6,X4,X5] :
( ~ iext(X0,X5,X6)
| ~ iext(X0,X4,X6)
| X4 = X5
| ~ icext(uri_owl_InverseFunctionalProperty,X0) ),
inference(cnf_transformation,[],[f588]) ).
fof(f611,plain,
! [X1] : iext(uri_owl_sameAs,X1,X1),
inference(equality_resolution,[],[f591]) ).
fof(f623,plain,
icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum),
inference(resolution,[],[f598,f595]) ).
fof(f674,plain,
! [X0] :
( ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz))
| uri_ex_bob = X0
| ~ icext(uri_owl_InverseFunctionalProperty,uri_foaf_mbox_sha1sum) ),
inference(resolution,[],[f604,f594]) ).
fof(f675,plain,
! [X0] :
( ~ iext(uri_foaf_mbox_sha1sum,X0,literal_plain(dat_str_xyz))
| uri_ex_bob = X0 ),
inference(forward_subsumption_resolution,[],[f674,f623]) ).
fof(f691,plain,
uri_ex_bob = uri_ex_robert,
inference(resolution,[],[f675,f593]) ).
fof(f694,plain,
~ iext(uri_owl_sameAs,uri_ex_bob,uri_ex_bob),
inference(superposition,[],[f589,f691]) ).
fof(f695,plain,
$false,
inference(forward_subsumption_resolution,[],[f694,f611]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SWB008+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 : n011.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 06:56:31 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 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
% 4.97/1.69 % (3216131)Detected formulas, will run a generic FOF schedule.
% 4.97/1.69 % (3216136)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=3705610550:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.97/1.69 % (3216139)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1057582299:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.97/1.69 % (3216137)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=1488205140:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.97/1.69 % (3216140)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1656799076:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.97/1.69 % (3216138)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=485051149:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.97/1.69 % (3216142)dis-21_1_sil=8000:lcm=predicate:random_seed=3681069296: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)
% 4.97/1.69 % (3216141)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=4141415187:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.97/1.69 % (3216139)Refutation not found, incomplete strategy
% 4.97/1.69 % (3216139)------------------------------
% 4.97/1.69 % (3216139)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.69 % (3216139)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.69 % (3216140)Refutation not found, incomplete strategy
% 4.97/1.69 % (3216140)------------------------------
% 4.97/1.69 % (3216140)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.69 % (3216139)CaDiCaL version: 2.1.3
% 4.97/1.69 % (3216139)Termination reason: Refutation not found, incomplete strategy
% 4.97/1.69 % (3216139)Time elapsed: 0.002 s
% 4.97/1.69 % (3216140)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.69 % (3216140)CaDiCaL version: 2.1.3
% 4.97/1.69 % (3216140)Termination reason: Refutation not found, incomplete strategy
% 4.97/1.69 % (3216140)Time elapsed: 0.002 s
% 4.97/1.69 % (3216140)Peak memory usage: 88 MB
% 4.97/1.69 % (3216139)Peak memory usage: 88 MB
% 4.97/1.69 % (3216139)Instructions burned: 2 (million)
% 4.97/1.69 % (3216140)Instructions burned: 2 (million)
% 4.97/1.69 % (3216142)Instruction limit reached!
% 4.97/1.69 % (3216142)------------------------------
% 4.97/1.69 % (3216142)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.69 % (3216142)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.69 % (3216142)CaDiCaL version: 2.1.3
% 4.97/1.69 % (3216142)Termination reason: Instruction limit
% 4.97/1.69 % (3216142)Termination phase: Saturation
% 4.97/1.69 % (3216142)Time elapsed: 0.068 s
% 4.97/1.69 % (3216142)Peak memory usage: 91 MB
% 4.97/1.69 % (3216142)Instructions burned: 131 (million)
% 4.97/1.69 % (3216141)Instruction limit reached!
% 4.97/1.69 % (3216141)------------------------------
% 4.97/1.69 % (3216141)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.69 % (3216141)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.69 % (3216141)CaDiCaL version: 2.1.3
% 4.97/1.69 % (3216141)Termination reason: Instruction limit
% 4.97/1.69 % (3216141)Termination phase: Saturation
% 4.97/1.69 % (3216141)Time elapsed: 0.084 s
% 4.97/1.69 % (3216141)Peak memory usage: 91 MB
% 4.97/1.69 % (3216141)Instructions burned: 140 (million)
% 4.97/1.69 % (3216150)lrs+10_1_sil=8000:sp=occurrence:random_seed=4206551397:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.97/1.69 % (3216151)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1712153828:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.97/1.69 % (3216151)Refutation not found, incomplete strategy
% 4.97/1.69 % (3216151)------------------------------
% 4.97/1.69 % (3216151)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.69 % (3216151)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.69 % (3216151)CaDiCaL version: 2.1.3
% 4.97/1.69 % (3216151)Termination reason: Refutation not found, incomplete strategy
% 4.97/1.69 % (3216151)Time elapsed: 0.004 s
% 4.97/1.69 % (3216151)Peak memory usage: 88 MB
% 4.97/1.69 % (3216151)Instructions burned: 5 (million)
% 4.97/1.69 % (3216150)First to succeed.
% 4.97/1.69 % (3216150)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3216131"
% 4.97/1.69 % (3216139)------------------------------
% 4.97/1.69 % (3216139)------------------------------
% 4.97/1.69 % (3216140)------------------------------
% 4.97/1.69 % (3216140)------------------------------
% 4.97/1.69 % (3216154)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1637354993:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.97/1.69 % (3216155)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=3451644137:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.97/1.69 % (3216154)Refutation not found, incomplete strategy
% 4.97/1.69 % (3216154)------------------------------
% 4.97/1.69 % (3216154)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.69 % (3216154)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.69 % (3216154)CaDiCaL version: 2.1.3
% 4.97/1.69 % (3216154)Termination reason: Refutation not found, incomplete strategy
% 4.97/1.69 % (3216154)Time elapsed: 0.002 s
% 4.97/1.69 % (3216154)Peak memory usage: 88 MB
% 4.97/1.69 % (3216154)Instructions burned: 2 (million)
% 4.97/1.69 % (3216136)Also succeeded, but the first one will report.
% 4.97/1.69 % (3216155)Also succeeded, but the first one will report.
% 4.97/1.69 % (3216151)------------------------------
% 4.97/1.69 % (3216151)------------------------------
% 4.97/1.69 % (3216150)Refutation found. Thanks to Tanya!
% 4.97/1.69 % SZS status Theorem for theBenchmark
% 4.97/1.69 % SZS output start Proof for theBenchmark
% See solution above
% 4.97/1.69 % (3216150)------------------------------
% 4.97/1.69 % (3216150)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.97/1.69 % (3216150)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.97/1.69 % (3216150)CaDiCaL version: 2.1.3
% 4.97/1.69 % (3216150)Termination reason: Refutation
% 4.97/1.69 % (3216150)Time elapsed: 0.005 s
% 4.97/1.69 % (3216150)Peak memory usage: 89 MB
% 4.97/1.69 % (3216150)Instructions burned: 5 (million)
% 4.97/1.69 % (3216150)------------------------------
% 4.97/1.69 % (3216150)------------------------------
% 4.97/1.69 % (3216131)Success in time 0.637 s
% 4.97/1.69 % Vampire exiting
%------------------------------------------------------------------------------