%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SWB029+2 : 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 : 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 01:00:48 PM UTC 2026
% Result : ContradictoryAxioms 0.07s 0.37s
% Output : Refutation 0.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 6
% Syntax : Number of formulae : 46 ( 13 unt; 2 def)
% Number of atoms : 235 ( 0 equ)
% Maximal formula atoms : 20 ( 5 avg)
% Number of connectives : 288 ( 99 ~; 98 |; 77 &)
% ( 12 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-4 aty)
% Number of functors : 15 ( 15 usr; 14 con; 0-3 aty)
% Number of variables : 113 ( 106 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] :
( iext(uri_rdf_type,X0,X1)
<=> icext(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',rdfs_cext_def) ).
fof(f2,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(f3,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/theBenchmark.p',owl_bool_intersectionof_class_002) ).
fof(f6,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(f8,plain,
! [X0,X1] :
( ( ic(X0)
& ic(X1)
& ! [X2] :
( icext(X0,X2)
<=> ~ icext(X1,X2) ) )
| ~ iext(uri_owl_complementOf,X0,X1) ),
inference(ennf_transformation,[],[f2]) ).
fof(f9,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,[],[f3]) ).
fof(f10,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,[],[f9]) ).
fof(f11,definition,
! [X0,X2,X4] :
( sP0(X0,X2,X4)
<=> ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( icext(X0,X5)
<=> ( icext(X2,X5)
& icext(X4,X5) ) ) ) ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f12,definition,
! [X4,X2,X0,X1] :
( ( iext(uri_owl_intersectionOf,X0,X1)
<=> sP0(X0,X2,X4) )
| ~ sP1(X4,X2,X0,X1) ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f13,plain,
! [X0,X1,X2,X3,X4] :
( sP1(X4,X2,X0,X1)
| ~ 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(definition_folding,[],[f10,f12,f11]) ).
fof(f14,plain,
! [X0,X1] :
( ( iext(uri_rdf_type,X0,X1)
| ~ icext(X1,X0) )
& ( icext(X1,X0)
| ~ iext(uri_rdf_type,X0,X1) ) ),
inference(nnf_transformation,[],[f1]) ).
fof(f15,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,[],[f8]) ).
fof(f16,plain,
! [X4,X2,X0,X1] :
( ( ( iext(uri_owl_intersectionOf,X0,X1)
| ~ sP0(X0,X2,X4) )
& ( sP0(X0,X2,X4)
| ~ iext(uri_owl_intersectionOf,X0,X1) ) )
| ~ sP1(X4,X2,X0,X1) ),
inference(nnf_transformation,[],[f12]) ).
fof(f17,plain,
! [X0,X1,X2,X3] :
( ( ( iext(uri_owl_intersectionOf,X2,X3)
| ~ sP0(X2,X1,X0) )
& ( sP0(X2,X1,X0)
| ~ iext(uri_owl_intersectionOf,X2,X3) ) )
| ~ sP1(X0,X1,X2,X3) ),
inference(rectify,[],[f16]) ).
fof(f18,plain,
! [X0,X2,X4] :
( ( sP0(X0,X2,X4)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ~ icext(X2,X5)
| ~ icext(X4,X5)
| ~ icext(X0,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ~ icext(X2,X5)
| ~ icext(X4,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| ~ icext(X0,X5) ) ) )
| ~ sP0(X0,X2,X4) ) ),
inference(nnf_transformation,[],[f11]) ).
fof(f19,plain,
! [X0,X2,X4] :
( ( sP0(X0,X2,X4)
| ~ ic(X0)
| ~ ic(X2)
| ~ ic(X4)
| ? [X5] :
( ( ~ icext(X2,X5)
| ~ icext(X4,X5)
| ~ icext(X0,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| icext(X0,X5) ) ) )
& ( ( ic(X0)
& ic(X2)
& ic(X4)
& ! [X5] :
( ( icext(X0,X5)
| ~ icext(X2,X5)
| ~ icext(X4,X5) )
& ( ( icext(X2,X5)
& icext(X4,X5) )
| ~ icext(X0,X5) ) ) )
| ~ sP0(X0,X2,X4) ) ),
inference(flattening,[],[f18]) ).
fof(f20,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ? [X3] :
( ( ~ icext(X1,X3)
| ~ icext(X2,X3)
| ~ icext(X0,X3) )
& ( ( icext(X1,X3)
& icext(X2,X3) )
| icext(X0,X3) ) ) )
& ( ( ic(X0)
& ic(X1)
& ic(X2)
& ! [X4] :
( ( icext(X0,X4)
| ~ icext(X1,X4)
| ~ icext(X2,X4) )
& ( ( icext(X1,X4)
& icext(X2,X4) )
| ~ icext(X0,X4) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(rectify,[],[f19]) ).
fof(f21,plain,
! [X0,X1,X2] :
( ( sP0(X0,X1,X2)
| ~ ic(X0)
| ~ ic(X1)
| ~ ic(X2)
| ( ( ~ icext(X1,sK2(X0,X1,X2))
| ~ icext(X2,sK2(X0,X1,X2))
| ~ icext(X0,sK2(X0,X1,X2)) )
& ( ( icext(X1,sK2(X0,X1,X2))
& icext(X2,sK2(X0,X1,X2)) )
| icext(X0,sK2(X0,X1,X2)) ) ) )
& ( ( ic(X0)
& ic(X1)
& ic(X2)
& ! [X4] :
( ( icext(X0,X4)
| ~ icext(X1,X4)
| ~ icext(X2,X4) )
& ( ( icext(X1,X4)
& icext(X2,X4) )
| ~ icext(X0,X4) ) ) )
| ~ sP0(X0,X1,X2) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2]),skolemize(X3,sK2(X0,X1,X2))],[f20]) ).
fof(f22,plain,
( 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,sK3)
& iext(uri_owl_intersectionOf,sK3,sK5)
& iext(uri_rdf_first,sK5,uri_ex_A)
& iext(uri_rdf_rest,sK5,sK6)
& iext(uri_rdf_first,sK6,sK4)
& iext(uri_rdf_rest,sK6,uri_rdf_nil)
& iext(uri_owl_complementOf,sK4,uri_ex_A) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3,sK4,sK5,sK6]),skolemize(X0,sK3),skolemize(X1,sK4),skolemize(X2,sK5),skolemize(X3,sK6)],[f6]) ).
fof(f23,plain,
! [X0,X1] :
( ~ iext(uri_rdf_type,X0,X1)
| icext(X1,X0) ),
inference(cnf_transformation,[],[f14]) ).
fof(f25,plain,
! [X2,X0,X1] :
( ~ iext(uri_owl_complementOf,X0,X1)
| ~ icext(X0,X2)
| ~ icext(X1,X2) ),
inference(cnf_transformation,[],[f15]) ).
fof(f29,plain,
! [X2,X3,X0,X1] :
( ~ sP1(X0,X1,X2,X3)
| ~ iext(uri_owl_intersectionOf,X2,X3)
| sP0(X2,X1,X0) ),
inference(cnf_transformation,[],[f17]) ).
fof(f31,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ icext(X0,X4)
| icext(X2,X4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f32,plain,
! [X2,X0,X1,X4] :
( ~ sP0(X0,X1,X2)
| ~ icext(X0,X4)
| icext(X1,X4) ),
inference(cnf_transformation,[],[f21]) ).
fof(f40,plain,
! [X2,X3,X0,X1,X4] :
( ~ iext(uri_rdf_rest,X3,uri_rdf_nil)
| ~ iext(uri_rdf_first,X1,X2)
| ~ iext(uri_rdf_rest,X1,X3)
| ~ iext(uri_rdf_first,X3,X4)
| sP1(X4,X2,X0,X1) ),
inference(cnf_transformation,[],[f13]) ).
fof(f42,plain,
iext(uri_owl_complementOf,sK4,uri_ex_A),
inference(cnf_transformation,[],[f22]) ).
fof(f43,plain,
iext(uri_rdf_rest,sK6,uri_rdf_nil),
inference(cnf_transformation,[],[f22]) ).
fof(f44,plain,
iext(uri_rdf_first,sK6,sK4),
inference(cnf_transformation,[],[f22]) ).
fof(f45,plain,
iext(uri_rdf_rest,sK5,sK6),
inference(cnf_transformation,[],[f22]) ).
fof(f46,plain,
iext(uri_rdf_first,sK5,uri_ex_A),
inference(cnf_transformation,[],[f22]) ).
fof(f47,plain,
iext(uri_owl_intersectionOf,sK3,sK5),
inference(cnf_transformation,[],[f22]) ).
fof(f48,plain,
iext(uri_rdf_type,uri_ex_w,sK3),
inference(cnf_transformation,[],[f22]) ).
fof(f59,plain,
! [X0] :
( ~ icext(sK4,X0)
| ~ icext(uri_ex_A,X0) ),
inference(resolution,[],[f42,f25]) ).
fof(f83,plain,
icext(sK3,uri_ex_w),
inference(resolution,[],[f23,f48]) ).
fof(f163,plain,
! [X2,X3,X0,X1] :
( sP1(X2,X1,X3,X0)
| ~ iext(uri_rdf_rest,X0,sK6)
| ~ iext(uri_rdf_first,sK6,X2)
| ~ iext(uri_rdf_first,X0,X1) ),
inference(resolution,[],[f40,f43]) ).
fof(f178,plain,
! [X2,X3,X0,X1] :
( ~ iext(uri_owl_intersectionOf,X0,X1)
| sP0(X0,X2,X3)
| ~ iext(uri_rdf_rest,X1,sK6)
| ~ iext(uri_rdf_first,sK6,X3)
| ~ iext(uri_rdf_first,X1,X2) ),
inference(resolution,[],[f29,f163]) ).
fof(f252,plain,
! [X0,X1] :
( sP0(sK3,X0,X1)
| ~ iext(uri_rdf_rest,sK5,sK6)
| ~ iext(uri_rdf_first,sK6,X1)
| ~ iext(uri_rdf_first,sK5,X0) ),
inference(resolution,[],[f178,f47]) ).
fof(f253,plain,
! [X0,X1] :
( ~ iext(uri_rdf_first,sK6,X1)
| sP0(sK3,X0,X1)
| ~ iext(uri_rdf_first,sK5,X0) ),
inference(forward_subsumption_resolution,[],[f252,f45]) ).
fof(f257,plain,
! [X0] :
( ~ iext(uri_rdf_first,sK5,X0)
| sP0(sK3,X0,sK4) ),
inference(resolution,[],[f253,f44]) ).
fof(f276,plain,
sP0(sK3,uri_ex_A,sK4),
inference(resolution,[],[f257,f46]) ).
fof(f288,plain,
! [X0] :
( ~ icext(sK3,X0)
| icext(uri_ex_A,X0) ),
inference(resolution,[],[f276,f32]) ).
fof(f289,plain,
! [X0] :
( ~ icext(sK3,X0)
| icext(sK4,X0) ),
inference(resolution,[],[f276,f31]) ).
fof(f290,plain,
icext(sK4,uri_ex_w),
inference(resolution,[],[f289,f83]) ).
fof(f291,plain,
~ icext(uri_ex_A,uri_ex_w),
inference(resolution,[],[f290,f59]) ).
fof(f297,plain,
icext(uri_ex_A,uri_ex_w),
inference(resolution,[],[f288,f83]) ).
fof(f298,plain,
$false,
inference(forward_subsumption_resolution,[],[f297,f291]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : SWB029+2 : TPTP v9.3.1. Released v5.2.0.
% 0.00/0.03 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 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 07:06:34 UTC 2026
% 0.04/0.31 % CPUTime :
% 0.04/0.31 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.33 Running first-order model finding
% 0.07/0.33 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
% 0.07/0.37 % (3201092)Will run a generic schedule for satisfiability detection.
% 0.07/0.37 % (3201098)% WARNING: option uhcvi not known.
% 0.07/0.37 % (3201101)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=4149258178:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.07/0.37 % (3201100)dis+10_1_sil=32000:sp=arity:random_seed=4050418828:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.07/0.37 % (3201099)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2437876479:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.07/0.37 % (3201097)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=783558048_2999 on theBenchmark for (2999ds/0Mi)
% 0.07/0.37 % (3201098)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=4193027107:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.07/0.37 % (3201102)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2621677750:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.07/0.37 % (3201103)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=871194189:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.07/0.37 % TRYING [1]
% 0.07/0.37 % TRYING [2]
% 0.07/0.37 % TRYING [3]
% 0.07/0.37 % (3201099) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3201092-3201099"...
% 0.07/0.37 % (3201100) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3201092-3201100"...
% 0.07/0.37 % (3201102) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3201092-3201102"...
% 0.07/0.37 % (3201099)...printing done.
% 0.07/0.37 % (3201100)...printing done.
% 0.07/0.37 % (3201102)...printing done.
% 0.07/0.37 % (3201099)Refutation found. Thanks to Tanya!
% 0.07/0.37 % SZS status ContradictoryAxioms for theBenchmark
% 0.07/0.37 % SZS output start Proof for theBenchmark
% See solution above
% 0.07/0.37 % (3201099)------------------------------
% 0.07/0.37 % (3201099)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.07/0.37 % (3201099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.07/0.37 % (3201099)CaDiCaL version: 2.1.3
% 0.07/0.37 % (3201099)Termination reason: Refutation
% 0.07/0.37 % (3201099)Time elapsed: 0.003 s
% 0.07/0.37 % (3201099)Peak memory usage: 11 MB
% 0.07/0.37 % (3201099)Instructions burned: 8 (million)
% 0.07/0.37 % (3201092)Success in time 0.034 s
% 0.07/0.37 % Vampire exiting
%------------------------------------------------------------------------------