%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET168-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n026.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 12:43:20 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.47s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 16 ( 10 unt; 0 def)
% Number of atoms : 24 ( 1 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 19 ( 11 ~; 8 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 15 ( 15 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( ~ subclass(X0,X1)
| ~ member(X2,X0)
| member(X2,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',subclass_members) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',class_elements_are_sets) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',intersection2) ).
fof(f24,axiom,
! [X0,X1] :
( ~ member(X0,complement(X1))
| ~ member(X0,X1) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',complement2) ).
fof(f26,axiom,
! [X0,X1] : complement(intersection(complement(X0),complement(X1))) = union(X0,X1),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',union) ).
fof(f122,negated_conjecture,
member(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_members_of_union3_1) ).
fof(f123,negated_conjecture,
~ member(x,union(y,z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_members_of_union3_2) ).
fof(f186,plain,
~ member(x,complement(intersection(complement(y),complement(z)))),
inference(definition_unfolding,[],[f123,f26]) ).
fof(f197,plain,
! [X0,X1] :
( ~ member(X0,X1)
| member(X0,universal_class) ),
inference(resolution,[],[f1,f4]) ).
fof(f231,plain,
member(x,universal_class),
inference(resolution,[],[f197,f122]) ).
fof(f242,plain,
( ~ member(x,universal_class)
| member(x,intersection(complement(y),complement(z))) ),
inference(resolution,[],[f25,f186]) ).
fof(f245,plain,
member(x,intersection(complement(y),complement(z))),
inference(forward_subsumption_resolution,[],[f242,f231]) ).
fof(f246,plain,
member(x,complement(z)),
inference(resolution,[],[f245,f22]) ).
fof(f252,plain,
~ member(x,z),
inference(resolution,[],[f246,f24]) ).
fof(f254,plain,
$false,
inference(forward_subsumption_resolution,[],[f252,f122]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET168-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n026.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Mon Sep 28 01:02:18 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.43 Running first-order model finding
% 0.12/0.43 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
% 0.18/0.47 % (3377123)Will run a generic schedule for satisfiability detection.
% 0.18/0.47 % (3377132)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=843936997:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.18/0.47 % (3377129)% WARNING: option uhcvi not known.
% 0.18/0.47 % (3377132) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3377123-3377132"...
% 0.18/0.47 % (3377132)...printing done.
% 0.18/0.47 % (3377129)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1186478501:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.18/0.47 % (3377132)Refutation found. Thanks to Tanya!
% 0.18/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.47 % (3377132)------------------------------
% 0.18/0.47 % (3377132)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.47 % (3377132)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.47 % (3377132)CaDiCaL version: 2.1.3
% 0.18/0.47 % (3377132)Termination reason: Refutation
% 0.18/0.47 % (3377132)Time elapsed: 0.005 s
% 0.18/0.47 % (3377132)Peak memory usage: 12 MB
% 0.18/0.47 % (3377132)Instructions burned: 13 (million)
% 0.18/0.47 % (3377123)Success in time 0.033 s
% 0.18/0.47 % Vampire exiting
%------------------------------------------------------------------------------