%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : SET046-5 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% Computer : n008.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 12:42:48 PM UTC 2026
% Result : Unsatisfiable 0.14s 0.46s
% Output : Refutation 0.14s
% 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(X0,a)
| ~ element(X0,X1)
| ~ element(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_1) ).
fof(f2,negated_conjecture,
! [X0] :
( element(X0,f(X0))
| element(X0,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_2) ).
fof(f3,negated_conjecture,
! [X0] :
( element(f(X0),X0)
| element(X0,a) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',clause_3) ).
fof(f5,plain,
! [X0] :
( ~ element(f(a),X0)
| ~ element(X0,f(a))
| element(a,a) ),
inference(resolution,[],[f1,f3]) ).
fof(f7,definition,
( spl0_1
<=> element(a,a) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f9,plain,
( element(a,a)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f7]) ).
fof(f11,definition,
( spl0_2
<=> ! [X0] :
( ~ element(f(a),X0)
| ~ element(X0,f(a)) ) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f12,plain,
( ! [X0] :
( ~ element(f(a),X0)
| ~ element(X0,f(a)) )
| ~ spl0_2 ),
inference(avatar_component_clause,[],[f11]) ).
fof(f13,plain,
( spl0_1
| spl0_2 ),
inference(avatar_split_clause,[],[f5,f11,f7]) ).
fof(f14,plain,
( ~ element(a,f(a))
| element(a,a)
| ~ spl0_2 ),
inference(resolution,[],[f12,f3]) ).
fof(f17,plain,
( element(a,a)
| ~ spl0_2 ),
inference(forward_subsumption_resolution,[],[f14,f2]) ).
fof(f18,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f17,f11,f7]) ).
fof(f19,plain,
( ! [X0] :
( ~ element(a,X0)
| ~ element(X0,a) )
| ~ spl0_1 ),
inference(resolution,[],[f9,f1]) ).
fof(f35,plain,
( ~ element(a,a)
| ~ spl0_1 ),
inference(resolution,[],[f19,f9]) ).
fof(f38,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f35,f9]) ).
fof(f39,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f38]) ).
cnf(s1,plain,
( spl0_1
| spl0_2 ),
inference(sat_conversion,[],[f13]) ).
cnf(s2,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f18]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f39]) ).
cnf(s5,plain,
~ spl0_2,
inference(rat,[],[s2,s4]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s1,s5,s4]) ).
fof(f40,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : SET046-5 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.14/0.39 % Computer : n008.cluster.edu
% 0.14/0.39 % Model : x86_64 x86_64
% 0.14/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.39 % Memory : 8046.5625MB
% 0.14/0.39 % OS : Linux 6.8.0-71-generic
% 0.14/0.39 % CPULimit : 300
% 0.14/0.39 % WCLimit : 300
% 0.14/0.39 % DateTime : Mon Sep 28 00:22:54 UTC 2026
% 0.14/0.39 % CPUTime :
% 0.14/0.39 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
% 0.14/0.46 % (1754058)Will run a generic schedule for satisfiability detection.
% 0.14/0.46 % (1754068)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2511499849:i=131_3000 on theBenchmark for (3000ds/131Mi)
% 0.14/0.46 % (1754068) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1754058-1754068"...
% 0.14/0.46 % (1754068)...printing done.
% 0.14/0.46 % (1754068)Refutation found. Thanks to Tanya!
% 0.14/0.46 % SZS status Unsatisfiable for theBenchmark
% 0.14/0.46 % SZS output start Proof for theBenchmark
% See solution above
% 0.14/0.46 % (1754068)------------------------------
% 0.14/0.46 % (1754068)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.14/0.46 % (1754068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.14/0.46 % (1754068)CaDiCaL version: 2.1.3
% 0.14/0.46 % (1754068)Termination reason: Refutation
% 0.14/0.46 % (1754068)Time elapsed: 0.002 s
% 0.14/0.46 % (1754068)Peak memory usage: 12 MB
% 0.14/0.46 % (1754068)Instructions burned: 1 (million)
% 0.14/0.46 % (1754058)Success in time 0.026 s
% 0.14/0.46 % Vampire exiting
%------------------------------------------------------------------------------