%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET014-2 : 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 12:42:35 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.47s
% Output : Refutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 29 ( 10 unt; 2 def)
% Number of atoms : 50 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 40 ( 19 ~; 19 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 12 ( 0 sgn 12 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X2,X0,X1] :
( ~ subset(X1,X2)
| ~ member(X0,X1)
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',membership_in_subsets) ).
fof(f3,axiom,
! [X0,X1] :
( subset(X0,X1)
| member(member_of_1_not_of_2(X0,X1),X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',subsets_axiom1) ).
fof(f4,axiom,
! [X0,X1] :
( ~ member(member_of_1_not_of_2(X0,X1),X1)
| subset(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',subsets_axiom2) ).
fof(f9,axiom,
! [X2,X0,X1] :
( ~ member(X0,union(X1,X2))
| member(X0,X1)
| member(X0,X2) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET002-0.ax',member_of_union_is_member_of_one_set) ).
fof(f22,axiom,
subset(as,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',a_subset_of_c) ).
fof(f23,axiom,
subset(bs,cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',b_subset_of_c) ).
fof(f24,negated_conjecture,
~ subset(union(as,bs),cs),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_a_union_b_subset_of_c) ).
fof(f30,plain,
member(member_of_1_not_of_2(union(as,bs),cs),union(as,bs)),
inference(resolution,[],[f3,f24]) ).
fof(f42,plain,
! [X0] :
( ~ member(X0,as)
| member(X0,cs) ),
inference(resolution,[],[f2,f22]) ).
fof(f43,plain,
! [X0] :
( ~ member(X0,bs)
| member(X0,cs) ),
inference(resolution,[],[f2,f23]) ).
fof(f78,plain,
( member(member_of_1_not_of_2(union(as,bs),cs),as)
| member(member_of_1_not_of_2(union(as,bs),cs),bs) ),
inference(resolution,[],[f9,f30]) ).
fof(f87,definition,
( spl0_5
<=> member(member_of_1_not_of_2(union(as,bs),cs),bs) ),
introduced(definition,[new_symbols(definition,[spl0_5])],[avatar_definition]) ).
fof(f89,plain,
( member(member_of_1_not_of_2(union(as,bs),cs),bs)
| ~ spl0_5 ),
inference(avatar_component_clause,[],[f87]) ).
fof(f91,definition,
( spl0_6
<=> member(member_of_1_not_of_2(union(as,bs),cs),as) ),
introduced(definition,[new_symbols(definition,[spl0_6])],[avatar_definition]) ).
fof(f93,plain,
( member(member_of_1_not_of_2(union(as,bs),cs),as)
| ~ spl0_6 ),
inference(avatar_component_clause,[],[f91]) ).
fof(f94,plain,
( spl0_5
| spl0_6 ),
inference(avatar_split_clause,[],[f78,f91,f87]) ).
fof(f125,plain,
( member(member_of_1_not_of_2(union(as,bs),cs),cs)
| ~ spl0_5 ),
inference(resolution,[],[f43,f89]) ).
fof(f126,plain,
( subset(union(as,bs),cs)
| ~ spl0_5 ),
inference(resolution,[],[f125,f4]) ).
fof(f130,plain,
( $false
| ~ spl0_5 ),
inference(forward_subsumption_resolution,[],[f126,f24]) ).
fof(f131,plain,
~ spl0_5,
inference(avatar_contradiction_clause,[],[f130]) ).
fof(f142,plain,
( member(member_of_1_not_of_2(union(as,bs),cs),cs)
| ~ spl0_6 ),
inference(resolution,[],[f93,f42]) ).
fof(f148,plain,
( subset(union(as,bs),cs)
| ~ spl0_6 ),
inference(resolution,[],[f142,f4]) ).
fof(f152,plain,
( $false
| ~ spl0_6 ),
inference(forward_subsumption_resolution,[],[f148,f24]) ).
fof(f153,plain,
~ spl0_6,
inference(avatar_contradiction_clause,[],[f152]) ).
cnf(s3,plain,
( spl0_5
| spl0_6 ),
inference(sat_conversion,[],[f94]) ).
cnf(s4,plain,
~ spl0_5,
inference(sat_conversion,[],[f131]) ).
cnf(s5,plain,
~ spl0_6,
inference(sat_conversion,[],[f153]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s3,s5,s4]) ).
fof(f154,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : SET014-2 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.38 % Computer : n026.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 00:06:42 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.43 Running first-order model finding
% 0.14/0.43 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
% 0.14/0.47 % (3352658)Will run a generic schedule for satisfiability detection.
% 0.14/0.47 % (3352670)dis+10_1_sil=32000:sp=arity:random_seed=1870770148:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.14/0.47 % (3352672)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2035054430:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.14/0.47 % (3352672) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3352658-3352672"...
% 0.14/0.47 % (3352668)% WARNING: option uhcvi not known.
% 0.14/0.47 % (3352672)...printing done.
% 0.14/0.47 % (3352672)Refutation found. Thanks to Tanya!
% 0.14/0.47 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.47 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.47 % (3352672)------------------------------
% 0.14/0.47 % (3352672)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.47 % (3352672)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.47 % (3352672)CaDiCaL version: 2.1.3
% 0.14/0.47 % (3352672)Termination reason: Refutation
% 0.14/0.47 % (3352672)Time elapsed: 0.004 s
% 0.14/0.47 % (3352672)Peak memory usage: 12 MB
% 0.14/0.47 % (3352672)Instructions burned: 4 (million)
% 0.14/0.47 % (3352658)Success in time 0.033 s
% 0.14/0.47 % Vampire exiting
%------------------------------------------------------------------------------