%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET786-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n016.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 12:44:36 PM UTC 2026
% Result : Unsatisfiable 0.18s 0.46s
% Output : Refutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 5
% Syntax : Number of formulae : 22 ( 5 unt; 2 def)
% Number of atoms : 45 ( 0 equ)
% Maximal formula atoms : 3 ( 2 avg)
% Number of connectives : 48 ( 25 ~; 21 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 4 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 2 ( 2 usr; 1 con; 0-1 aty)
% Number of variables : 8 ( 0 sgn 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,negated_conjecture,
! [X0,X1] :
( ~ element(X1,sk1)
| ~ element(X1,X0)
| ~ element(X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm25_1) ).
fof(f2,negated_conjecture,
! [X0] :
( element(X0,sk2(X0))
| element(X0,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm25_2) ).
fof(f3,negated_conjecture,
! [X0] :
( element(sk2(X0),X0)
| element(X0,sk1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',thm25_3) ).
fof(f33,plain,
! [X0] :
( element(sk1,sk1)
| ~ element(sk2(sk1),X0)
| ~ element(X0,sk2(sk1)) ),
inference(resolution,[],[f3,f1]) ).
fof(f73,definition,
( spl0_9
<=> ! [X0] :
( ~ element(sk2(sk1),X0)
| ~ element(X0,sk2(sk1)) ) ),
introduced(definition,[new_symbols(definition,[spl0_9])],[avatar_definition]) ).
fof(f74,plain,
( ! [X0] :
( ~ element(sk2(sk1),X0)
| ~ element(X0,sk2(sk1)) )
| ~ spl0_9 ),
inference(avatar_component_clause,[],[f73]) ).
fof(f76,definition,
( spl0_10
<=> element(sk1,sk1) ),
introduced(definition,[new_symbols(definition,[spl0_10])],[avatar_definition]) ).
fof(f78,plain,
( element(sk1,sk1)
| ~ spl0_10 ),
inference(avatar_component_clause,[],[f76]) ).
fof(f79,plain,
( spl0_9
| spl0_10 ),
inference(avatar_split_clause,[],[f33,f76,f73]) ).
fof(f80,plain,
( ~ element(sk1,sk2(sk1))
| element(sk1,sk1)
| ~ spl0_9 ),
inference(resolution,[],[f74,f3]) ).
fof(f83,plain,
( element(sk1,sk1)
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[],[f80,f2]) ).
fof(f84,plain,
( spl0_10
| ~ spl0_9 ),
inference(avatar_split_clause,[],[f83,f73,f76]) ).
fof(f85,plain,
( ! [X0] :
( ~ element(sk1,X0)
| ~ element(X0,sk1) )
| ~ spl0_10 ),
inference(resolution,[],[f78,f1]) ).
fof(f86,plain,
( ~ element(sk1,sk1)
| ~ spl0_10 ),
inference(resolution,[],[f85,f78]) ).
fof(f89,plain,
( $false
| ~ spl0_10 ),
inference(forward_subsumption_resolution,[],[f86,f78]) ).
fof(f90,plain,
~ spl0_10,
inference(avatar_contradiction_clause,[],[f89]) ).
cnf(s58,plain,
( spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f79]) ).
cnf(s64,plain,
( ~ spl0_9
| spl0_10 ),
inference(sat_conversion,[],[f84]) ).
cnf(s69,plain,
~ spl0_10,
inference(sat_conversion,[],[f90]) ).
cnf(s70,plain,
~ spl0_9,
inference(rat,[],[s64,s69]) ).
cnf(s71,plain,
$false,
inference(rat,[],[s58,s69,s70]) ).
fof(f91,plain,
$false,
inference(avatar_sat_refutation,[],[s71]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET786-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.39 % Computer : n016.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 02:54:18 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.42 Running first-order model finding
% 0.12/0.42 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
% 0.18/0.46 % (3213063)Will run a generic schedule for satisfiability detection.
% 0.18/0.46 % (3213070)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3927394841:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.18/0.46 % (3213070) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-3213063-3213070"...
% 0.18/0.46 % (3213070)...printing done.
% 0.18/0.46 % (3213070)Refutation found. Thanks to Tanya!
% 0.18/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.18/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.18/0.46 % (3213070)------------------------------
% 0.18/0.46 % (3213070)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.18/0.46 % (3213070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.18/0.46 % (3213070)CaDiCaL version: 2.1.3
% 0.18/0.46 % (3213070)Termination reason: Refutation
% 0.18/0.46 % (3213070)Time elapsed: 0.002 s
% 0.18/0.46 % (3213070)Peak memory usage: 12 MB
% 0.18/0.46 % (3213070)Instructions burned: 1 (million)
% 0.18/0.46 % (3213063)Success in time 0.03 s
% 0.18/0.46 % Vampire exiting
%------------------------------------------------------------------------------