%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWB029+3 : TPTP v9.3.1. Released v5.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 01:00:48 PM UTC 2026
% Result : ContradictoryAxioms 0.89s 0.64s
% Output : Refutation 0.89s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 8
% Syntax : Number of formulae : 56 ( 16 unt; 4 def)
% Number of atoms : 182 ( 0 equ)
% Maximal formula atoms : 11 ( 3 avg)
% Number of connectives : 222 ( 96 ~; 84 |; 27 &)
% ( 13 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 5 avg)
% Maximal term depth : 1 ( 1 avg)
% Number of predicates : 8 ( 7 usr; 5 prp; 0-3 aty)
% Number of functors : 14 ( 14 usr; 14 con; 0-0 aty)
% Number of variables : 89 ( 0 sgn 85 !; 4 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,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/Axioms/SWB002+0.ax',owl_bool_complementof_class) ).
fof(f4,axiom,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_rdf_first,X1,X2)
& iext(uri_rdf_rest,X1,X3)
& iext(uri_rdf_first,X3,X4)
& iext(uri_rdf_rest,X3,uri_rdf_nil) )
=> ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',owl_bool_intersectionof_class_002) ).
fof(f80,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWB002+0.ax',rdfs_cext_def) ).
fof(f141,axiom,
? [X0,X1,X2,X3] :
( iext(uri_rdf_type,uri_ex_A,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_B,uri_owl_Class)
& iext(uri_rdf_type,uri_ex_w,X0)
& iext(uri_owl_intersectionOf,X0,X2)
& iext(uri_rdf_first,X2,uri_ex_A)
& iext(uri_rdf_rest,X2,X3)
& iext(uri_rdf_first,X3,X1)
& iext(uri_rdf_rest,X3,uri_rdf_nil)
& iext(uri_owl_complementOf,X1,uri_ex_A) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',testcase_premise_fullish_029_Ex_Falso_Quodlibet) ).
fof(f147,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f1]) ).
fof(f150,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(ennf_transformation,[],[f4]) ).
fof(f151,plain,
! [X0,X1,X2,X3,X4] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) )
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X3,uri_rdf_nil) ),
inference(flattening,[],[f150]) ).
fof(f213,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ~ icext(X1,X2)
| ~ icext(X0,X2) ),
inference(cnf_transformation,[],[f147]) ).
fof(f227,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| icext(X4,X5)
| ~ icext(X0,X5)
| ~ iext(uri_owl_intersectionOf,X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f228,plain,
! [X2,X3,X0,X1,X4,X5] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X3,X4)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X1,X2)
| icext(X2,X5)
| ~ icext(X0,X5)
| ~ iext(uri_owl_intersectionOf,X0,X1) ),
inference(cnf_transformation,[],[f151]) ).
fof(f388,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f80]) ).
fof(f455,plain,
iext(uri_owl_complementOf,sK19,uri_ex_A),
inference(cnf_transformation,[],[f141]) ).
fof(f456,plain,
iext(uri_rdf_rest,sK21,uri_rdf_nil),
inference(cnf_transformation,[],[f141]) ).
fof(f457,plain,
iext(uri_rdf_first,sK21,sK19),
inference(cnf_transformation,[],[f141]) ).
fof(f458,plain,
iext(uri_rdf_rest,sK20,sK21),
inference(cnf_transformation,[],[f141]) ).
fof(f459,plain,
iext(uri_rdf_first,sK20,uri_ex_A),
inference(cnf_transformation,[],[f141]) ).
fof(f460,plain,
iext(uri_owl_intersectionOf,sK18,sK20),
inference(cnf_transformation,[],[f141]) ).
fof(f461,plain,
iext(uri_rdf_type,uri_ex_w,sK18),
inference(cnf_transformation,[],[f141]) ).
fof(f466,plain,
icext(sK18,uri_ex_w),
inference(resolution,[],[f388,f461]) ).
fof(f722,plain,
! [X0] :
( ~ icext(uri_ex_A,X0)
| ~ icext(sK19,X0) ),
inference(resolution,[],[f213,f455]) ).
fof(f1986,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X1,sK21)
| ~ iext(uri_rdf_first,sK21,X0)
| ~ iext(uri_rdf_first,X1,X2)
| icext(X0,X3)
| ~ icext(X4,X3)
| ~ iext(uri_owl_intersectionOf,X4,X1) ),
inference(resolution,[],[f227,f456]) ).
fof(f1987,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_first,sK21,X0)
| ~ iext(uri_rdf_rest,X1,sK21)
| ~ iext(uri_rdf_first,X1,X2)
| icext(X2,X3)
| ~ icext(X4,X3)
| ~ iext(uri_owl_intersectionOf,X4,X1) ),
inference(resolution,[],[f228,f456]) ).
fof(f1989,definition,
( spl22_52
<=> ! [X4,X3,X2,X1] :
( ~ iext(uri_rdf_rest,X1,sK21)
| ~ iext(uri_owl_intersectionOf,X4,X1)
| ~ icext(X4,X3)
| icext(X2,X3)
| ~ iext(uri_rdf_first,X1,X2) ) ),
introduced(definition,[new_symbols(definition,[spl22_52])],[avatar_definition]) ).
fof(f1990,plain,
( ! [X2,X3,X1,X4] :
( ~ iext(uri_rdf_rest,X1,sK21)
| ~ iext(uri_owl_intersectionOf,X4,X1)
| ~ icext(X4,X3)
| icext(X2,X3)
| ~ iext(uri_rdf_first,X1,X2) )
| ~ spl22_52 ),
inference(avatar_component_clause,[],[f1989]) ).
fof(f1992,definition,
( spl22_53
<=> ! [X0] : ~ iext(uri_rdf_first,sK21,X0) ),
introduced(definition,[new_symbols(definition,[spl22_53])],[avatar_definition]) ).
fof(f1993,plain,
( ! [X0] : ~ iext(uri_rdf_first,sK21,X0)
| ~ spl22_53 ),
inference(avatar_component_clause,[],[f1992]) ).
fof(f1994,plain,
( spl22_52
| spl22_53 ),
inference(avatar_split_clause,[],[f1987,f1992,f1989]) ).
fof(f2007,plain,
( $false
| ~ spl22_53 ),
inference(resolution,[],[f1993,f457]) ).
fof(f2008,plain,
~ spl22_53,
inference(avatar_contradiction_clause,[],[f2007]) ).
fof(f2198,plain,
( ! [X2,X0,X1] :
( ~ iext(uri_rdf_first,sK20,X2)
| ~ icext(X0,X1)
| icext(X2,X1)
| ~ iext(uri_owl_intersectionOf,X0,sK20) )
| ~ spl22_52 ),
inference(resolution,[],[f1990,f458]) ).
fof(f2214,plain,
( ! [X0,X1] :
( ~ iext(uri_owl_intersectionOf,X0,sK20)
| icext(uri_ex_A,X1)
| ~ icext(X0,X1) )
| ~ spl22_52 ),
inference(resolution,[],[f2198,f459]) ).
fof(f2261,plain,
( ! [X0] :
( ~ icext(sK18,X0)
| icext(uri_ex_A,X0) )
| ~ spl22_52 ),
inference(resolution,[],[f2214,f460]) ).
fof(f2268,plain,
( icext(uri_ex_A,uri_ex_w)
| ~ spl22_52 ),
inference(resolution,[],[f2261,f466]) ).
fof(f2281,plain,
( ~ icext(sK19,uri_ex_w)
| ~ spl22_52 ),
inference(resolution,[],[f2268,f722]) ).
fof(f3264,definition,
( spl22_107
<=> ! [X2] : ~ iext(uri_rdf_first,sK20,X2) ),
introduced(definition,[new_symbols(definition,[spl22_107])],[avatar_definition]) ).
fof(f3265,plain,
( ! [X2] : ~ iext(uri_rdf_first,sK20,X2)
| ~ spl22_107 ),
inference(avatar_component_clause,[],[f3264]) ).
fof(f3270,plain,
( $false
| ~ spl22_107 ),
inference(resolution,[],[f3265,f459]) ).
fof(f3271,plain,
~ spl22_107,
inference(avatar_contradiction_clause,[],[f3270]) ).
fof(f3305,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_rdf_first,sK21,X0)
| ~ iext(uri_rdf_first,sK20,X1)
| icext(X0,X2)
| ~ icext(X3,X2)
| ~ iext(uri_owl_intersectionOf,X3,sK20) ),
inference(resolution,[],[f1986,f458]) ).
fof(f3307,definition,
( spl22_109
<=> ! [X2,X0,X3] :
( ~ iext(uri_rdf_first,sK21,X0)
| ~ iext(uri_owl_intersectionOf,X3,sK20)
| ~ icext(X3,X2)
| icext(X0,X2) ) ),
introduced(definition,[new_symbols(definition,[spl22_109])],[avatar_definition]) ).
fof(f3308,plain,
( ! [X2,X3,X0] :
( ~ iext(uri_rdf_first,sK21,X0)
| ~ iext(uri_owl_intersectionOf,X3,sK20)
| ~ icext(X3,X2)
| icext(X0,X2) )
| ~ spl22_109 ),
inference(avatar_component_clause,[],[f3307]) ).
fof(f3309,plain,
( spl22_107
| spl22_109 ),
inference(avatar_split_clause,[],[f3305,f3307,f3264]) ).
fof(f3927,plain,
( ! [X0,X1] :
( ~ iext(uri_owl_intersectionOf,X0,sK20)
| ~ icext(X0,X1)
| icext(sK19,X1) )
| ~ spl22_109 ),
inference(resolution,[],[f3308,f457]) ).
fof(f3928,plain,
( ! [X0] :
( ~ icext(sK18,X0)
| icext(sK19,X0) )
| ~ spl22_109 ),
inference(resolution,[],[f3927,f460]) ).
fof(f3929,plain,
( icext(sK19,uri_ex_w)
| ~ spl22_109 ),
inference(resolution,[],[f3928,f466]) ).
fof(f3946,plain,
( $false
| ~ spl22_52
| ~ spl22_109 ),
inference(forward_subsumption_resolution,[],[f3929,f2281]) ).
fof(f3947,plain,
( ~ spl22_52
| ~ spl22_109 ),
inference(avatar_contradiction_clause,[],[f3946]) ).
cnf(s45,plain,
( spl22_52
| spl22_53 ),
inference(sat_conversion,[],[f1994]) ).
cnf(s47,plain,
~ spl22_53,
inference(sat_conversion,[],[f2008]) ).
cnf(s138,plain,
~ spl22_107,
inference(sat_conversion,[],[f3271]) ).
cnf(s143,plain,
( spl22_107
| spl22_109 ),
inference(sat_conversion,[],[f3309]) ).
cnf(s255,plain,
( ~ spl22_52
| ~ spl22_109 ),
inference(sat_conversion,[],[f3947]) ).
cnf(s260,plain,
spl22_109,
inference(rat,[],[s143,s138]) ).
cnf(s261,plain,
~ spl22_52,
inference(rat,[],[s255,s260]) ).
cnf(s273,plain,
$false,
inference(rat,[],[s45,s47,s261]) ).
fof(f3955,plain,
$false,
inference(avatar_sat_refutation,[],[s273]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SWB029+3 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.39 % Computer : n007.cluster.edu
% 0.10/0.39 % Model : x86_64 x86_64
% 0.10/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.39 % Memory : 8046.5625MB
% 0.10/0.39 % OS : Linux 6.8.0-71-generic
% 0.10/0.39 % CPULimit : 300
% 0.10/0.39 % WCLimit : 300
% 0.10/0.39 % DateTime : Mon Sep 28 07:05:25 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.42 Running first-order model finding
% 0.10/0.43 Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.89/0.64 % (2208956)Will run a generic schedule for satisfiability detection.
% 0.89/0.64 % (2208975)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=587853368:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.89/0.64 % (2208972)% WARNING: option uhcvi not known.
% 0.89/0.64 % (2208971)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3824388606_2999 on theBenchmark for (2999ds/0Mi)
% 0.89/0.64 % (2208973)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3760972471:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.89/0.64 % (2208974)dis+10_1_sil=32000:sp=arity:random_seed=2660765484:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.89/0.64 % (2208976)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2415442069:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.89/0.64 % (2208977)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=53199883:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.89/0.64 % (2208972)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2901504433:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.89/0.64 % TRYING [1]
% 0.89/0.64 % TRYING [2]
% 0.89/0.64 % (2208975)Instruction limit reached!
% 0.89/0.64 % (2208975)------------------------------
% 0.89/0.64 % (2208975)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.64 % (2208975)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.64 % (2208975)CaDiCaL version: 2.1.3
% 0.89/0.64 % (2208975)Termination reason: Instruction limit
% 0.89/0.64 % (2208975)Termination phase: Saturation
% 0.89/0.64 % (2208975)Time elapsed: 0.027 s
% 0.89/0.64 % (2208975)Peak memory usage: 11 MB
% 0.89/0.64 % (2208975)Instructions burned: 117 (million)
% 0.89/0.64 % TRYING [3]
% 0.89/0.64 % (2208991)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1472737339:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.89/0.64 % TRYING [1]
% 0.89/0.64 % TRYING [2]
% 0.89/0.64 % TRYING [3]
% 0.89/0.64 % TRYING [4]
% 0.89/0.64 % TRYING [4]
% 0.89/0.64 % (2208974)Instruction limit reached!
% 0.89/0.64 % (2208974)------------------------------
% 0.89/0.64 % (2208974)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.64 % (2208974)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.64 % (2208974)CaDiCaL version: 2.1.3
% 0.89/0.64 % (2208974)Termination reason: Instruction limit
% 0.89/0.64 % (2208974)Termination phase: Saturation
% 0.89/0.64 % (2208974)Time elapsed: 0.061 s
% 0.89/0.64 % (2208974)Peak memory usage: 13 MB
% 0.89/0.64 % (2208974)Instructions burned: 105 (million)
% 0.89/0.64 % (2208976)Instruction limit reached!
% 0.89/0.64 % (2208976)------------------------------
% 0.89/0.64 % (2208976)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.64 % (2208976)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.64 % (2208976)CaDiCaL version: 2.1.3
% 0.89/0.64 % (2208976)Termination reason: Instruction limit
% 0.89/0.64 % (2208976)Termination phase: Saturation
% 0.89/0.64 % (2208976)Time elapsed: 0.068 s
% 0.89/0.64 % (2208976)Peak memory usage: 14 MB
% 0.89/0.64 % (2208976)Instructions burned: 132 (million)
% 0.89/0.64 % (2209001)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=1108386414:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.89/0.64 % (2209002)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1426422416:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.89/0.64 % (2208977)Instruction limit reached!
% 0.89/0.64 % (2208977)------------------------------
% 0.89/0.64 % (2208977)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.64 % (2208977)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.64 % (2208977)CaDiCaL version: 2.1.3
% 0.89/0.64 % (2208977)Termination reason: Instruction limit
% 0.89/0.64 % (2208977)Termination phase: Saturation
% 0.89/0.64 % (2208977)Time elapsed: 0.113 s
% 0.89/0.64 % (2208977)Peak memory usage: 13 MB
% 0.89/0.64 % (2208977)Instructions burned: 159 (million)
% 0.89/0.64 % (2209010)ott-21_1_sil=16000:fs=off:random_seed=3035745325:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.89/0.64 % (2209002) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2208956-2209002"...
% 0.89/0.64 % (2209002)...printing done.
% 0.89/0.64 % (2209002)Refutation found. Thanks to Tanya!
% 0.89/0.64 % SZS status ContradictoryAxioms for theBenchmark
% 0.89/0.64 % SZS output start Proof for theBenchmark
% See solution above
% 0.89/0.64 % (2209002)------------------------------
% 0.89/0.64 % (2209002)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.89/0.64 % (2209002)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.89/0.64 % (2209002)CaDiCaL version: 2.1.3
% 0.89/0.64 % (2209002)Termination reason: Refutation
% 0.89/0.64 % (2209002)Time elapsed: 0.069 s
% 0.89/0.64 % (2209002)Peak memory usage: 14 MB
% 0.89/0.64 % (2209002)Instructions burned: 101 (million)
% 0.89/0.64 % (2208956)Success in time 0.205 s
% 0.89/0.64 % Vampire exiting
%------------------------------------------------------------------------------