%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET076-6 : 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 : 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 12:42:59 PM UTC 2026
% Result : Unsatisfiable 0.10s 0.46s
% Output : Refutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 25 ( 11 unt; 2 def)
% Number of atoms : 40 ( 8 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 13 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 7 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 6 ( 4 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X0,X1] :
( subclass(X0,X1)
| member(not_subclass_element(X0,X1),X0) ),
file('/export/starexec/sandbox2/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/sandbox2/benchmark/Axioms/SET004-0.ax',not_subclass_members2) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox2/benchmark/Axioms/SET004-0.ax',unordered_pair_member) ).
fof(f101,negated_conjecture,
member(x,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_1) ).
fof(f102,negated_conjecture,
member(y,z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_2) ).
fof(f103,negated_conjecture,
~ subclass(unordered_pair(x,y),z),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_unordered_pair_is_subset_3) ).
fof(f159,plain,
member(not_subclass_element(unordered_pair(x,y),z),unordered_pair(x,y)),
inference(resolution,[],[f2,f103]) ).
fof(f160,plain,
~ member(not_subclass_element(unordered_pair(x,y),z),z),
inference(resolution,[],[f3,f103]) ).
fof(f200,plain,
( x = not_subclass_element(unordered_pair(x,y),z)
| y = not_subclass_element(unordered_pair(x,y),z) ),
inference(resolution,[],[f8,f159]) ).
fof(f205,definition,
( spl0_1
<=> y = not_subclass_element(unordered_pair(x,y),z) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f207,plain,
( y = not_subclass_element(unordered_pair(x,y),z)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f205]) ).
fof(f209,definition,
( spl0_2
<=> x = not_subclass_element(unordered_pair(x,y),z) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f211,plain,
( x = not_subclass_element(unordered_pair(x,y),z)
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f209]) ).
fof(f212,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f200,f209,f205]) ).
fof(f214,plain,
( ~ member(x,z)
| ~ spl0_2 ),
inference(superposition,[],[f160,f211]) ).
fof(f216,plain,
( $false
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f214,f101]) ).
fof(f217,plain,
~ spl0_2,
inference(avatar_contradiction_clause,[],[f216]) ).
fof(f231,plain,
( ~ member(y,z)
| ~ spl0_1 ),
inference(superposition,[],[f160,f207]) ).
fof(f233,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f231,f102]) ).
fof(f234,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f233]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f212]) ).
cnf(s2,plain,
~ spl0_2,
inference(sat_conversion,[],[f217]) ).
cnf(s3,plain,
~ spl0_1,
inference(sat_conversion,[],[f234]) ).
cnf(s4,plain,
$false,
inference(rat,[],[s1,s2,s3]) ).
fof(f235,plain,
$false,
inference(avatar_sat_refutation,[],[s4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET076-6 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.37 % Computer : n019.cluster.edu
% 0.10/0.37 % Model : x86_64 x86_64
% 0.10/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.37 % Memory : 8046.5625MB
% 0.10/0.37 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Mon Sep 28 00:32:34 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.10/0.41 Running first-order model finding
% 0.10/0.41 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
% 0.10/0.46 % (3553031)Will run a generic schedule for satisfiability detection.
% 0.10/0.46 % (3553041)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3208369850:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.10/0.46 % (3553036)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=3825427465_2999 on theBenchmark for (2999ds/0Mi)
% 0.10/0.46 % (3553038)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1363542915:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.10/0.46 % (3553039)dis+10_1_sil=32000:sp=arity:random_seed=477621195:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.10/0.46 % (3553040)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2729263888:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.10/0.46 % (3553042)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=2340887870:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.10/0.46 % (3553037)% WARNING: option uhcvi not known.
% 0.10/0.46 % (3553040) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3553031-3553040"...
% 0.10/0.46 % (3553037)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3115301034:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.10/0.46 % (3553040)...printing done.
% 0.10/0.46 % (3553040)Refutation found. Thanks to Tanya!
% 0.10/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.10/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.10/0.46 % (3553040)------------------------------
% 0.10/0.46 % (3553040)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.10/0.46 % (3553040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.10/0.46 % (3553040)CaDiCaL version: 2.1.3
% 0.10/0.46 % (3553040)Termination reason: Refutation
% 0.10/0.46 % (3553040)Time elapsed: 0.008 s
% 0.10/0.46 % (3553040)Peak memory usage: 12 MB
% 0.10/0.46 % (3553040)Instructions burned: 12 (million)
% 0.10/0.46 % (3553031)Success in time 0.044 s
% 0.10/0.46 % Vampire exiting
%------------------------------------------------------------------------------