%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : SWB001+4 : 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 : n007.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 12:59:56 PM UTC 2026
% Result : Theorem 3.47s 1.45s
% Output : Refutation 3.47s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 4
% Syntax : Number of formulae : 19 ( 8 unt; 2 def)
% Number of atoms : 32 ( 0 equ)
% Maximal formula atoms : 4 ( 1 avg)
% Number of connectives : 23 ( 10 ~; 6 |; 5 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-3 aty)
% Number of functors : 9 ( 9 usr; 9 con; 0-0 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f81,conjecture,
( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_conclusion_fullish_001_Subgraph_Entailment) ).
fof(f82,negated_conjecture,
~ ( iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
inference(negated_conjecture,[status(cth)],[f81]) ).
fof(f83,axiom,
( iext(uri_rdfs_subClassOf,uri_ex_c,uri_ex_r)
& iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
& iext(uri_owl_onProperty,uri_ex_r,uri_ex_p)
& iext(uri_owl_someValuesFrom,uri_ex_r,uri_ex_d) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',testcase_premise_fullish_001_Subgraph_Entailment) ).
fof(f105,plain,
( ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
| ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
inference(ennf_transformation,[],[f82]) ).
fof(f196,plain,
( ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
| ~ iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
inference(cnf_transformation,[],[f105]) ).
fof(f198,plain,
iext(uri_owl_onProperty,uri_ex_r,uri_ex_p),
inference(cnf_transformation,[],[f83]) ).
fof(f199,plain,
iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction),
inference(cnf_transformation,[],[f83]) ).
fof(f202,definition,
( spl0_1
<=> iext(uri_owl_onProperty,uri_ex_r,uri_ex_p) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f206,definition,
( spl0_2
<=> iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f208,plain,
( ~ iext(uri_rdf_type,uri_ex_r,uri_owl_Restriction)
| spl0_2 ),
inference(avatar_component_clause,[],[f206]) ).
fof(f209,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f196,f206,f202]) ).
fof(f212,plain,
spl0_1,
inference(avatar_split_clause,[],[f198,f202]) ).
fof(f213,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f199,f208]) ).
fof(f214,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f213]) ).
cnf(s1,plain,
( ~ spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f209]) ).
cnf(s3,plain,
spl0_1,
inference(sat_conversion,[],[f212]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f214]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s4,s3]) ).
fof(f215,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB001+4 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.38 % Computer : n007.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 06:52:26 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.42 Running first-order theorem proving
% 0.12/0.42 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
% 3.47/1.45 % (2195428)Detected formulas, will run a generic FOF schedule.
% 3.47/1.45 % (2195434)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=2249779910:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.47/1.45 % (2195433)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=3625173779:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.47/1.45 % (2195437)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2077726518:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.47/1.45 % (2195436)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=714264897:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.47/1.45 % (2195435)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=641452618:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.47/1.45 % (2195438)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3772952267:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.47/1.45 % (2195437)Refutation not found, incomplete strategy
% 3.47/1.45 % (2195437)------------------------------
% 3.47/1.45 % (2195437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.45 % (2195437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.45 % (2195437)CaDiCaL version: 2.1.3
% 3.47/1.45 % (2195437)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.45 % (2195437)Time elapsed: 0.001 s
% 3.47/1.45 % (2195437)Peak memory usage: 86 MB
% 3.47/1.45 % (2195436)Refutation not found, incomplete strategy
% 3.47/1.45 % (2195436)------------------------------
% 3.47/1.45 % (2195436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.45 % (2195436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.45 % (2195436)CaDiCaL version: 2.1.3
% 3.47/1.45 % (2195436)Termination reason: Refutation not found, incomplete strategy
% 3.47/1.45 % (2195436)Time elapsed: 0.001 s
% 3.47/1.45 % (2195436)Peak memory usage: 86 MB
% 3.47/1.45 % (2195438)First to succeed.
% 3.47/1.45 % (2195438)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2195428"
% 3.47/1.45 % (2195439)dis-21_1_sil=8000:lcm=predicate:random_seed=173704468: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)
% 3.47/1.45 % (2195439)Also succeeded, but the first one will report.
% 3.47/1.45 [W928 06:52:26.272874955 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.45 [W928 06:52:26.272915661 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.45 [W928 06:52:26.272935881 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.45 [W928 06:52:26.272943009 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.45 [W928 06:52:26.272956000 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.45 [W928 06:52:26.272961491 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 3.47/1.45 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 3.47/1.45 % (2195436)------------------------------
% 3.47/1.45 % (2195436)------------------------------
% 3.47/1.45 % (2195437)------------------------------
% 3.47/1.45 % (2195437)------------------------------
% 3.47/1.45 % (2195438)Refutation found. Thanks to Tanya!
% 3.47/1.45 % SZS status Theorem for theBenchmark
% 3.47/1.45 % SZS output start Proof for theBenchmark
% See solution above
% 3.47/1.45 % (2195438)------------------------------
% 3.47/1.45 % (2195438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.47/1.45 % (2195438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.47/1.45 % (2195438)CaDiCaL version: 2.1.3
% 3.47/1.45 % (2195438)Termination reason: Refutation
% 3.47/1.45 % (2195438)Time elapsed: 0.003 s
% 3.47/1.45 % (2195438)Peak memory usage: 89 MB
% 3.47/1.45 % (2195438)Instructions burned: 2 (million)
% 3.47/1.45 % (2195438)------------------------------
% 3.47/1.45 % (2195438)------------------------------
% 3.47/1.45 % (2195428)Success in time 0.404 s
% 3.47/1.45 % Vampire exiting
%------------------------------------------------------------------------------