%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET191-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n019.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 12:43:24 PM UTC 2026
% Result : Unsatisfiable 0.17s 0.50s
% Output : Refutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 18
% Number of leaves : 13
% Syntax : Number of formulae : 45 ( 13 unt; 2 def)
% Number of atoms : 92 ( 10 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 94 ( 47 ~; 45 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 32 ( 0 sgn 32 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( subclass(X0,X1)
| ~ member(not_subclass_element(X0,X1),X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f23,axiom,
! [X2,X0,X1] :
( member(X0,intersection(X1,X2))
| ~ member(X0,X2)
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',intersection3) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement1) ).
fof(f25,axiom,
! [X0,X1] :
( member(X0,complement(X1))
| ~ member(X0,universal_class)
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',union) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/SET004-0.ax',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f122,negated_conjecture,
union(complement(x),y) = universal_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property8_1) ).
fof(f123,plain,
universal_class = union(complement(x),y),
inference(reorient_equations,[],[f122]) ).
fof(f124,negated_conjecture,
~ subclass(x,y),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_subclass_property8_2) ).
fof(f187,plain,
universal_class = complement(intersection(complement(complement(x)),complement(y))),
inference(definition_unfolding,[],[f123,f26]) ).
fof(f194,plain,
! [X0] :
( ~ member(X0,intersection(complement(complement(x)),complement(y)))
| ~ member(X0,universal_class) ),
inference(superposition,[],[f24,f187]) ).
fof(f197,plain,
( null_class = intersection(complement(complement(x)),complement(y))
| ~ member(regular(intersection(complement(complement(x)),complement(y))),universal_class) ),
inference(resolution,[],[f68,f194]) ).
fof(f199,definition,
( spl0_1
<=> member(regular(intersection(complement(complement(x)),complement(y))),universal_class) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f201,plain,
( ~ member(regular(intersection(complement(complement(x)),complement(y))),universal_class)
| spl0_1 ),
inference(avatar_component_clause,[],[f199]) ).
fof(f203,definition,
( spl0_2
<=> null_class = intersection(complement(complement(x)),complement(y)) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f205,plain,
( null_class = intersection(complement(complement(x)),complement(y))
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f203]) ).
fof(f206,plain,
( ~ spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f197,f203,f199]) ).
fof(f207,plain,
member(not_subclass_element(x,y),x),
inference(resolution,[],[f2,f124]) ).
fof(f208,plain,
~ member(not_subclass_element(x,y),y),
inference(resolution,[],[f3,f124]) ).
fof(f211,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f246,plain,
( ! [X0] : ~ member(regular(intersection(complement(complement(x)),complement(y))),X0)
| spl0_1 ),
inference(resolution,[],[f211,f201]) ).
fof(f251,plain,
( null_class = intersection(complement(complement(x)),complement(y))
| spl0_1 ),
inference(resolution,[],[f246,f68]) ).
fof(f255,plain,
( spl0_2
| spl0_1 ),
inference(avatar_split_clause,[],[f251,f199,f203]) ).
fof(f260,plain,
( ! [X0] :
( ~ member(X0,null_class)
| ~ member(X0,universal_class) )
| ~ spl0_2 ),
inference(superposition,[],[f194,f205]) ).
fof(f264,plain,
( ! [X0] : ~ member(X0,null_class)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f260,f211]) ).
fof(f281,plain,
( ! [X0] :
( member(X0,null_class)
| ~ member(X0,complement(y))
| ~ member(X0,complement(complement(x))) )
| ~ spl0_2 ),
inference(superposition,[],[f23,f205]) ).
fof(f283,plain,
( ! [X0] :
( ~ member(X0,complement(complement(x)))
| ~ member(X0,complement(y)) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f281,f264]) ).
fof(f311,plain,
( ! [X0] :
( ~ member(X0,complement(y))
| ~ member(X0,universal_class)
| member(X0,complement(x)) )
| ~ spl0_2 ),
inference(resolution,[],[f283,f25]) ).
fof(f322,plain,
( ! [X0] :
( ~ member(X0,complement(y))
| member(X0,complement(x)) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f311,f211]) ).
fof(f351,plain,
( ! [X0] :
( member(X0,complement(x))
| ~ member(X0,universal_class)
| member(X0,y) )
| ~ spl0_2 ),
inference(resolution,[],[f322,f25]) ).
fof(f405,plain,
( ! [X0] :
( ~ member(X0,universal_class)
| member(X0,y)
| ~ member(X0,x) )
| ~ spl0_2 ),
inference(resolution,[],[f351,f24]) ).
fof(f409,plain,
( ! [X0] :
( member(X0,y)
| ~ member(X0,x) )
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f405,f211]) ).
fof(f413,plain,
( ~ member(not_subclass_element(x,y),x)
| ~ spl0_2 ),
inference(resolution,[],[f409,f208]) ).
fof(f416,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f413,f207]) ).
fof(f417,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f416]) ).
cnf(s1,plain,
( ~ spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f206]) ).
cnf(s2,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f255]) ).
cnf(s8,plain,
~ spl0_2,
inference(sat_conversion,[],[f417]) ).
cnf(s9,plain,
spl0_1,
inference(rat,[],[s2,s8]) ).
cnf(s10,plain,
$false,
inference(rat,[],[s1,s8,s9]) ).
fof(f418,plain,
$false,
inference(avatar_sat_refutation,[],[s10]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET191-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.39 % Computer : n019.cluster.edu
% 0.11/0.39 % Model : x86_64 x86_64
% 0.11/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.39 % Memory : 8046.5625MB
% 0.11/0.39 % OS : Linux 6.8.0-71-generic
% 0.11/0.39 % CPULimit : 300
% 0.11/0.39 % WCLimit : 300
% 0.11/0.39 % DateTime : Mon Sep 28 01:03:34 UTC 2026
% 0.11/0.39 % CPUTime :
% 0.11/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.11/0.42 Running first-order model finding
% 0.11/0.42 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.17/0.50 % (3565545)Will run a generic schedule for satisfiability detection.
% 0.17/0.50 % (3565550)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1997609119_2999 on theBenchmark for (2999ds/0Mi)
% 0.17/0.50 % (3565551)% WARNING: option uhcvi not known.
% 0.17/0.50 % (3565551)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3506655795:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.17/0.50 % (3565552)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=278518452:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.17/0.50 % (3565553)dis+10_1_sil=32000:sp=arity:random_seed=3926830886:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.17/0.50 % (3565554)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2458703079:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.17/0.50 % (3565555)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=4192158321:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.17/0.50 % (3565556)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=884916980:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.17/0.50 % (3565554) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3565545-3565554"...
% 0.17/0.50 % (3565554)...printing done.
% 0.17/0.50 % (3565554)Refutation found. Thanks to Tanya!
% 0.17/0.50 % SZS status Unsatisfiable for theBenchmark
% 0.17/0.50 % SZS output start Proof for theBenchmark
% See solution above
% 0.17/0.50 % (3565554)------------------------------
% 0.17/0.50 % (3565554)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.17/0.50 % (3565554)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/0.50 % (3565554)CaDiCaL version: 2.1.3
% 0.17/0.50 % (3565554)Termination reason: Refutation
% 0.17/0.50 % (3565554)Time elapsed: 0.013 s
% 0.17/0.50 % (3565554)Peak memory usage: 12 MB
% 0.17/0.50 % (3565554)Instructions burned: 20 (million)
% 0.17/0.50 % (3565545)Success in time 0.069 s
% 0.17/0.50 % Vampire exiting
%------------------------------------------------------------------------------