%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB040+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 : n012.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 01:00:17 PM UTC 2026
% Result : Theorem 0.06s 1.02s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 6
% Syntax : Number of formulae : 41 ( 11 unt; 0 def)
% Number of atoms : 143 ( 0 equ)
% Maximal formula atoms : 10 ( 3 avg)
% Number of connectives : 161 ( 59 ~; 58 |; 35 &)
% ( 4 <=>; 5 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 5 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 62 ( 59 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f68,axiom,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',rdfs_subclassof_main) ).
fof(f188,axiom,
! [X0,X1] :
( iext(uri_owl_complementOf,X0,X1)
=> ( ic(X0)
& ic(X1) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_prop_complementof_ext) ).
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/sandbox/benchmark/theBenchmark.p',owl_bool_complementof_class) ).
fof(f343,axiom,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
=> icext(X1,X2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',owl_rdfsext_subclassof) ).
fof(f559,conjecture,
iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',conclusion_rdfbased_sem_bool_tollens) ).
fof(f560,negated_conjecture,
~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
inference(negated_conjecture,[status(cth)],[f559]) ).
fof(f561,axiom,
( iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2)
& iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1)
& iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',premise_rdfbased_sem_bool_tollens) ).
fof(f562,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
inference(flattening,[],[f560]) ).
fof(f565,plain,
! [X0,X1] :
( iext(uri_rdfs_subClassOf,X0,X1)
<=> ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) ) ),
inference(ennf_transformation,[],[f343]) ).
fof(f569,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ),
inference(ennf_transformation,[],[f68]) ).
fof(f571,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f278]) ).
fof(f572,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f188]) ).
fof(f578,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(nnf_transformation,[],[f565]) ).
fof(f579,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X1,X2)
| ~ icext(X0,X2) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(flattening,[],[f578]) ).
fof(f580,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ? [X2] :
( ~ icext(X1,X2)
& icext(X0,X2) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(rectify,[],[f579]) ).
fof(f581,plain,
! [X0,X1] :
( ( iext(uri_rdfs_subClassOf,X0,X1)
| ~ ic(X0)
| ~ ic(X1)
| ( ~ icext(X1,sK0(X0,X1))
& icext(X0,sK0(X0,X1)) ) )
& ( ( ic(X0)
& ic(X1)
& ! [X3] :
( icext(X1,X3)
| ~ icext(X0,X3) ) )
| ~ iext(uri_rdfs_subClassOf,X0,X1) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X2,sK0(X0,X1))],[f580]) ).
fof(f585,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( ( icext(X0,X2)
| icext(X1,X2) )
& ( ~ icext(X1,X2)
| ~ icext(X0,X2) ) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(nnf_transformation,[],[f571]) ).
fof(f588,plain,
~ iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1),
inference(cnf_transformation,[],[f562]) ).
fof(f592,plain,
! [X0,X1] :
( icext(X0,sK0(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f581]) ).
fof(f593,plain,
! [X0,X1] :
( ~ icext(X1,sK0(X0,X1))
| ~ ic(X0)
| ~ ic(X1)
| iext(uri_rdfs_subClassOf,X0,X1) ),
inference(cnf_transformation,[],[f581]) ).
fof(f596,plain,
! [X2,X0,X1] :
( ~ iext(uri_rdfs_subClassOf,X0,X1)
| ~ icext(X0,X2)
| icext(X1,X2) ),
inference(cnf_transformation,[],[f569]) ).
fof(f600,plain,
iext(uri_rdfs_subClassOf,uri_ex_c1,uri_ex_c2),
inference(cnf_transformation,[],[f561]) ).
fof(f601,plain,
iext(uri_owl_complementOf,uri_ex_n1,uri_ex_c1),
inference(cnf_transformation,[],[f561]) ).
fof(f602,plain,
iext(uri_owl_complementOf,uri_ex_n2,uri_ex_c2),
inference(cnf_transformation,[],[f561]) ).
fof(f610,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ~ icext(X0,X2)
| ~ icext(X1,X2) ),
inference(cnf_transformation,[],[f585]) ).
fof(f611,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| icext(X1,X2)
| icext(X0,X2) ),
inference(cnf_transformation,[],[f585]) ).
fof(f616,plain,
! [X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ic(X0) ),
inference(cnf_transformation,[],[f572]) ).
fof(f638,plain,
ic(uri_ex_n1),
inference(resolution,[],[f616,f601]) ).
fof(f639,plain,
ic(uri_ex_n2),
inference(resolution,[],[f616,f602]) ).
fof(f659,plain,
! [X0] :
( ~ icext(uri_ex_c1,X0)
| icext(uri_ex_c2,X0) ),
inference(resolution,[],[f596,f600]) ).
fof(f663,plain,
! [X0] :
( ~ icext(uri_ex_c2,X0)
| ~ icext(uri_ex_n2,X0) ),
inference(resolution,[],[f610,f602]) ).
fof(f664,plain,
! [X0] :
( icext(uri_ex_c1,X0)
| icext(uri_ex_n1,X0) ),
inference(resolution,[],[f611,f601]) ).
fof(f677,plain,
! [X0] :
( icext(uri_ex_c2,X0)
| icext(uri_ex_n1,X0) ),
inference(resolution,[],[f664,f659]) ).
fof(f687,plain,
! [X0] :
( ~ icext(uri_ex_n2,X0)
| icext(uri_ex_n1,X0) ),
inference(resolution,[],[f677,f663]) ).
fof(f699,plain,
! [X0] :
( icext(uri_ex_n1,sK0(uri_ex_n2,X0))
| ~ ic(uri_ex_n2)
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_ex_n2,X0) ),
inference(resolution,[],[f687,f592]) ).
fof(f700,plain,
! [X0] :
( icext(uri_ex_n1,sK0(uri_ex_n2,X0))
| ~ ic(X0)
| iext(uri_rdfs_subClassOf,uri_ex_n2,X0) ),
inference(forward_subsumption_resolution,[],[f699,f639]) ).
fof(f713,plain,
( ~ ic(uri_ex_n1)
| iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1)
| ~ ic(uri_ex_n2)
| ~ ic(uri_ex_n1)
| iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1) ),
inference(resolution,[],[f700,f593]) ).
fof(f714,plain,
( ~ ic(uri_ex_n1)
| iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1)
| ~ ic(uri_ex_n2) ),
inference(duplicate_literal_removal,[],[f713]) ).
fof(f715,plain,
( iext(uri_rdfs_subClassOf,uri_ex_n2,uri_ex_n1)
| ~ ic(uri_ex_n2) ),
inference(forward_subsumption_resolution,[],[f714,f638]) ).
fof(f716,plain,
~ ic(uri_ex_n2),
inference(forward_subsumption_resolution,[],[f715,f588]) ).
fof(f717,plain,
$false,
inference(forward_subsumption_resolution,[],[f716,f639]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB040+1 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.02 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.04/0.31 % Computer : n012.cluster.edu
% 0.04/0.31 % Model : x86_64 x86_64
% 0.04/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.04/0.31 % Memory : 8046.5625MB
% 0.04/0.31 % OS : Linux 6.8.0-71-generic
% 0.04/0.31 % CPULimit : 300
% 0.04/0.31 % WCLimit : 300
% 0.04/0.31 % DateTime : Mon Sep 28 07:10:04 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.06/0.33 Running first-order theorem proving
% 0.06/0.33 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
% 1.06/0.92 % (3206417)Detected formulas, will run a generic FOF schedule.
% 1.06/0.92 % (3206426)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1772999112:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 1.06/0.92 % (3206423)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=2725073090:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 1.06/0.92 % (3206425)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=2997787695:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 1.06/0.92 % (3206428)dis-21_1_sil=8000:lcm=predicate:random_seed=1168373407: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)
% 1.06/0.92 % (3206424)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=237187863:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 1.06/0.92 % (3206427)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2634669136:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 1.06/0.92 % (3206422)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=566658195:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 1.06/0.92 % (3206425)Refutation not found, incomplete strategy
% 1.06/0.92 % (3206425)------------------------------
% 1.06/0.92 % (3206425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.06/0.92 % (3206425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.92 % (3206425)CaDiCaL version: 2.1.3
% 1.06/0.92 % (3206425)Termination reason: Refutation not found, incomplete strategy
% 1.06/0.92 % (3206425)Time elapsed: 0.001 s
% 1.06/0.92 % (3206425)Peak memory usage: 88 MB
% 1.06/0.92 % (3206425)Instructions burned: 2 (million)
% 1.06/0.92 % (3206426)Instruction limit reached!
% 1.06/0.92 % (3206426)------------------------------
% 1.06/0.92 % (3206426)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.06/0.92 % (3206426)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.92 % (3206426)CaDiCaL version: 2.1.3
% 1.06/0.92 % (3206426)Termination reason: Instruction limit
% 1.06/0.92 % (3206426)Termination phase: Saturation
% 1.06/0.92 % (3206426)Time elapsed: 0.026 s
% 1.06/0.92 % (3206426)Peak memory usage: 87 MB
% 1.06/0.92 % (3206426)Instructions burned: 123 (million)
% 1.06/0.92 % (3206428)Instruction limit reached!
% 1.06/0.92 % (3206428)------------------------------
% 1.06/0.92 % (3206428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.06/0.92 % (3206428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.92 % (3206428)CaDiCaL version: 2.1.3
% 1.06/0.92 % (3206428)Termination reason: Instruction limit
% 1.06/0.92 % (3206428)Termination phase: Saturation
% 1.06/0.92 % (3206428)Time elapsed: 0.032 s
% 1.06/0.92 % (3206428)Peak memory usage: 90 MB
% 1.06/0.92 % (3206428)Instructions burned: 132 (million)
% 1.06/0.92 % (3206427)Instruction limit reached!
% 1.06/0.92 % (3206427)------------------------------
% 1.06/0.92 % (3206427)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.06/0.92 % (3206427)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.92 % (3206427)CaDiCaL version: 2.1.3
% 1.06/0.92 % (3206427)Termination reason: Instruction limit
% 1.06/0.92 % (3206427)Termination phase: Saturation
% 1.06/0.92 % (3206427)Time elapsed: 0.059 s
% 1.06/0.92 % (3206427)Peak memory usage: 90 MB
% 1.06/0.92 % (3206427)Instructions burned: 139 (million)
% 1.06/0.92 % (3206436)lrs+10_1_sil=8000:sp=occurrence:random_seed=2879490311:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 1.06/0.92 % (3206437)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1565055466:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 1.06/0.92 % (3206437)Refutation not found, incomplete strategy
% 1.06/0.92 % (3206437)------------------------------
% 1.06/0.92 % (3206437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 1.06/0.92 % (3206437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 1.06/0.92 % (3206437)CaDiCaL version: 2.1.3
% 1.06/0.92 % (3206437)Termination reason: Refutation not found, incomplete strategy
% 0.06/1.02 % (3206437)Time elapsed: 0.002 s
% 0.06/1.02 % (3206437)Peak memory usage: 88 MB
% 0.06/1.02 % (3206437)Instructions burned: 6 (million)
% 0.06/1.02 % (3206436)First to succeed.
% 0.06/1.02 % (3206436)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3206417"
% 0.06/1.02 % (3206425)------------------------------
% 0.06/1.02 % (3206425)------------------------------
% 0.06/1.02 % (3206438)lrs+1011_1_sil=32000:sp=occurrence:random_seed=578765048:i=325:sd=1:ss=axioms:sgt=32_2998 on theBenchmark for (2998ds/325Mi)
% 0.06/1.02 % (3206438)Instruction limit reached!
% 0.06/1.02 % (3206438)------------------------------
% 0.06/1.02 % (3206438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.06/1.02 % (3206438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/1.02 % (3206438)CaDiCaL version: 2.1.3
% 0.06/1.02 % (3206438)Termination reason: Instruction limit
% 0.06/1.02 % (3206438)Termination phase: Saturation
% 0.06/1.02 % (3206438)Time elapsed: 0.063 s
% 0.06/1.02 % (3206438)Peak memory usage: 88 MB
% 0.06/1.02 % (3206438)Instructions burned: 326 (million)
% 0.06/1.02 % (3206442)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=2264088098:s2a=on:i=248:s2at=1.23:gtg=position_2997 on theBenchmark for (2997ds/248Mi)
% 0.06/1.02 % (3206442)Also succeeded, but the first one will report.
% 0.06/1.02 % (3206437)------------------------------
% 0.06/1.02 % (3206437)------------------------------
% 0.06/1.02 % (3206436)Refutation found. Thanks to Tanya!
% 0.06/1.02 % SZS status Theorem for theBenchmark
% 0.06/1.02 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/1.02 % (3206436)------------------------------
% 0.06/1.02 % (3206436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.06/1.02 % (3206436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/1.02 % (3206436)CaDiCaL version: 2.1.3
% 0.06/1.02 % (3206436)Termination reason: Refutation
% 0.06/1.02 % (3206436)Time elapsed: 0.003 s
% 0.06/1.02 % (3206436)Peak memory usage: 89 MB
% 0.06/1.02 % (3206436)Instructions burned: 5 (million)
% 0.06/1.02 % (3206436)------------------------------
% 0.06/1.02 % (3206436)------------------------------
% 0.06/1.02 % (3206417)Success in time 0.391 s
% 0.06/1.02 % Vampire exiting
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