%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB057+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 : n018.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 01:00:20 PM UTC 2026
% Result : Theorem 4.93s 1.67s
% Output : Refutation 4.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 13 unt; 0 def)
% Number of atoms : 56 ( 5 equ)
% Maximal formula atoms : 5 ( 2 avg)
% Number of connectives : 51 ( 22 ~; 13 |; 9 &)
% ( 5 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 4 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 7 con; 0-0 aty)
% Number of variables : 29 ( 28 !; 1 ?)
% 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(f278,axiom,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f345,axiom,
! [X0,X1] :
( iext(uri_owl_differentFrom,X0,X1)
<=> X0 != X1 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',owl_eqdis_differentfrom) ).
fof(f559,conjecture,
iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',conclusion_rdfbased_sem_eqdis_different_ext) ).
fof(f560,negated_conjecture,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
? [X0] :
( iext(uri_rdf_type,uri_ex_u,X0)
& iext(uri_owl_complementOf,X0,uri_ex_c)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',premise_rdfbased_sem_eqdis_different_ext) ).
fof(f562,plain,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(flattening,[],[f560]) ).
fof(f576,plain,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) ),
inference(pure_predicate_removal,[],[f278]) ).
fof(f577,plain,
! [X0,X1] :
( ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f576]) ).
fof(f578,plain,
! [X0,X1] :
( ( iext(uri_owl_differentFrom,X0,X1)
| X0 = X1 )
& ( X0 != X1
| ~ iext(uri_owl_differentFrom,X0,X1) ) ),
inference(nnf_transformation,[],[f345]) ).
fof(f579,plain,
( iext(uri_rdf_type,uri_ex_u,sK0)
& iext(uri_owl_complementOf,sK0,uri_ex_c)
& iext(uri_rdf_type,uri_ex_w,uri_ex_c) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f561]) ).
fof(f580,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(f581,plain,
! [X0,X1] :
( ! [X2] :
( ( icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(nnf_transformation,[],[f577]) ).
fof(f582,plain,
~ iext(uri_owl_differentFrom,uri_ex_w,uri_ex_u),
inference(cnf_transformation,[],[f562]) ).
fof(f584,plain,
! [X0,X1] :
( iext(uri_owl_differentFrom,X0,X1)
| X0 = X1 ),
inference(cnf_transformation,[],[f578]) ).
fof(f585,plain,
iext(uri_rdf_type,uri_ex_w,uri_ex_c),
inference(cnf_transformation,[],[f579]) ).
fof(f586,plain,
iext(uri_owl_complementOf,sK0,uri_ex_c),
inference(cnf_transformation,[],[f579]) ).
fof(f587,plain,
iext(uri_rdf_type,uri_ex_u,sK0),
inference(cnf_transformation,[],[f579]) ).
fof(f588,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f580]) ).
fof(f590,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ~ icext(X0,X2)
| ~ icext(X1,X2) ),
inference(cnf_transformation,[],[f581]) ).
fof(f593,plain,
uri_ex_w = uri_ex_u,
inference(resolution,[],[f584,f582]) ).
fof(f597,plain,
icext(uri_ex_c,uri_ex_w),
inference(resolution,[],[f588,f585]) ).
fof(f598,plain,
icext(sK0,uri_ex_u),
inference(resolution,[],[f588,f587]) ).
fof(f599,plain,
icext(sK0,uri_ex_w),
inference(forward_demodulation,[],[f598,f593]) ).
fof(f602,plain,
! [X0] :
( ~ icext(sK0,X0)
| ~ icext(uri_ex_c,X0) ),
inference(resolution,[],[f590,f586]) ).
fof(f604,plain,
~ icext(uri_ex_c,uri_ex_w),
inference(resolution,[],[f602,f599]) ).
fof(f605,plain,
$false,
inference(forward_subsumption_resolution,[],[f604,f597]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : SWB057+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.07 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n018.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 07:17:10 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 4.93/1.67 % (3202932)Detected formulas, will run a generic FOF schedule.
% 4.93/1.67 % (3202986)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=2840573993:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.93/1.67 % (3202990)dis-21_1_sil=8000:lcm=predicate:random_seed=4201853655: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)
% 4.93/1.67 % (3202985)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=1655628334:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.93/1.67 % (3202987)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3895615037:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.93/1.67 % (3202984)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=539394607:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.93/1.67 % (3202988)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=765399921:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.93/1.67 % (3202988)Refutation not found, incomplete strategy
% 4.93/1.67 % (3202988)------------------------------
% 4.93/1.67 % (3202988)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.67 % (3202988)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.67 % (3202988)CaDiCaL version: 2.1.3
% 4.93/1.67 % (3202988)Termination reason: Refutation not found, incomplete strategy
% 4.93/1.67 % (3202988)Time elapsed: 0.002 s
% 4.93/1.67 % (3202988)Peak memory usage: 88 MB
% 4.93/1.67 % (3202987)Refutation not found, incomplete strategy
% 4.93/1.67 % (3202987)------------------------------
% 4.93/1.67 % (3202987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.67 % (3202988)Instructions burned: 2 (million)
% 4.93/1.67 % (3202987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.67 % (3202987)CaDiCaL version: 2.1.3
% 4.93/1.67 % (3202987)Termination reason: Refutation not found, incomplete strategy
% 4.93/1.67 % (3202987)Time elapsed: 0.002 s
% 4.93/1.67 % (3202987)Peak memory usage: 88 MB
% 4.93/1.67 % (3202987)Instructions burned: 2 (million)
% 4.93/1.67 % (3202989)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1228183565:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.93/1.67 % (3202990)Instruction limit reached!
% 4.93/1.67 % (3202990)------------------------------
% 4.93/1.67 % (3202990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.67 % (3202990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.67 % (3202990)CaDiCaL version: 2.1.3
% 4.93/1.67 % (3202990)Termination reason: Instruction limit
% 4.93/1.67 % (3202990)Termination phase: Saturation
% 4.93/1.67 % (3202990)Time elapsed: 0.069 s
% 4.93/1.67 % (3202990)Peak memory usage: 92 MB
% 4.93/1.67 % (3202990)Instructions burned: 129 (million)
% 4.93/1.67 % (3202989)Instruction limit reached!
% 4.93/1.67 % (3202989)------------------------------
% 4.93/1.67 % (3202989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.67 % (3202989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.67 % (3202989)CaDiCaL version: 2.1.3
% 4.93/1.67 % (3202989)Termination reason: Instruction limit
% 4.93/1.67 % (3202989)Termination phase: Saturation
% 4.93/1.67 % (3202989)Time elapsed: 0.114 s
% 4.93/1.67 % (3202989)Peak memory usage: 91 MB
% 4.93/1.67 % (3202989)Instructions burned: 140 (million)
% 4.93/1.67 % (3202998)lrs+10_1_sil=8000:sp=occurrence:random_seed=1646585050:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.93/1.67 % (3202998)First to succeed.
% 4.93/1.67 % (3202998)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3202932"
% 4.93/1.67 % (3202987)------------------------------
% 4.93/1.67 % (3202987)------------------------------
% 4.93/1.67 % (3202988)------------------------------
% 4.93/1.67 % (3202988)------------------------------
% 4.93/1.67 % (3202999)lrs+10_1_sil=32000:urr=on:br=off:random_seed=2401426938:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.93/1.67 % (3202999)Refutation not found, incomplete strategy
% 4.93/1.67 % (3202999)------------------------------
% 4.93/1.67 % (3202999)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.67 % (3202999)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.67 % (3202999)CaDiCaL version: 2.1.3
% 4.93/1.67 % (3202999)Termination reason: Refutation not found, incomplete strategy
% 4.93/1.67 % (3202999)Time elapsed: 0.004 s
% 4.93/1.67 % (3202999)Peak memory usage: 89 MB
% 4.93/1.67 % (3202999)Instructions burned: 5 (million)
% 4.93/1.67 % (3202986)Also succeeded, but the first one will report.
% 4.93/1.67 % (3203001)lrs+1011_1_sil=32000:sp=occurrence:random_seed=520920886:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 4.93/1.67 % (3203001)Refutation not found, incomplete strategy
% 4.93/1.67 % (3203001)------------------------------
% 4.93/1.67 % (3203001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.67 % (3203001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.67 % (3203001)CaDiCaL version: 2.1.3
% 4.93/1.67 % (3203001)Termination reason: Refutation not found, incomplete strategy
% 4.93/1.67 % (3203001)Time elapsed: 0.003 s
% 4.93/1.67 % (3203001)Peak memory usage: 89 MB
% 4.93/1.67 % (3203001)Instructions burned: 2 (million)
% 4.93/1.67 % (3203002)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=3511099025:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.93/1.67 % (3203002)Also succeeded, but the first one will report.
% 4.93/1.67 % (3202998)Refutation found. Thanks to Tanya!
% 4.93/1.67 % SZS status Theorem for theBenchmark
% 4.93/1.67 % SZS output start Proof for theBenchmark
% See solution above
% 4.93/1.67 % (3202998)------------------------------
% 4.93/1.67 % (3202998)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.93/1.67 % (3202998)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.93/1.67 % (3202998)CaDiCaL version: 2.1.3
% 4.93/1.67 % (3202998)Termination reason: Refutation
% 4.93/1.67 % (3202998)Time elapsed: 0.004 s
% 4.93/1.67 % (3202998)Peak memory usage: 89 MB
% 4.93/1.67 % (3202998)Instructions burned: 3 (million)
% 4.93/1.67 % (3202998)------------------------------
% 4.93/1.67 % (3202998)------------------------------
% 4.93/1.67 % (3202932)Success in time 0.629 s
% 4.93/1.67 % Vampire exiting
%------------------------------------------------------------------------------