%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT005-4 : 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 : n007.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 09:36:53 AM UTC 2026
% Result : Unsatisfiable 0.19s 0.26s
% Output : Refutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 9
% Number of leaves : 9
% Syntax : Number of formulae : 32 ( 16 unt; 2 def)
% Number of atoms : 48 ( 13 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 33 ( 17 ~; 14 |; 0 &)
% ( 2 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 3 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 7 ( 0 sgn 7 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( ~ there_exists(codomain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',codomain_has_elements) ).
fof(f6,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',composition_implies_domain) ).
fof(f7,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',domain_codomain_composition1) ).
fof(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT004-0.ax',compose_codomain) ).
fof(f12,axiom,
there_exists(compose(a,d)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ad_exists) ).
fof(f13,axiom,
! [X0] :
( ~ there_exists(compose(X0,d))
| compose(X0,d) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xd_equals_x) ).
fof(f15,negated_conjecture,
domain(a) != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).
fof(f16,plain,
d != domain(a),
inference(reorient_equations,[],[f15]) ).
fof(f30,plain,
a = compose(a,d),
inference(resolution,[],[f13,f12]) ).
fof(f75,plain,
( ~ there_exists(d)
| d = codomain(d) ),
inference(superposition,[],[f13,f11]) ).
fof(f122,plain,
there_exists(a),
inference(superposition,[],[f12,f30]) ).
fof(f148,definition,
( spl0_12
<=> d = codomain(d) ),
introduced(definition,[new_symbols(definition,[spl0_12])],[avatar_definition]) ).
fof(f150,plain,
( d = codomain(d)
| ~ spl0_12 ),
inference(avatar_component_clause,[],[f148]) ).
fof(f152,definition,
( spl0_13
<=> there_exists(d) ),
introduced(definition,[new_symbols(definition,[spl0_13])],[avatar_definition]) ).
fof(f154,plain,
( ~ there_exists(d)
| spl0_13 ),
inference(avatar_component_clause,[],[f152]) ).
fof(f155,plain,
( spl0_12
| ~ spl0_13 ),
inference(avatar_split_clause,[],[f75,f152,f148]) ).
fof(f166,plain,
there_exists(domain(a)),
inference(resolution,[],[f6,f12]) ).
fof(f211,plain,
domain(a) = codomain(d),
inference(resolution,[],[f7,f12]) ).
fof(f214,plain,
( ~ there_exists(a)
| domain(a) = codomain(d) ),
inference(superposition,[],[f7,f30]) ).
fof(f216,plain,
domain(a) = codomain(d),
inference(forward_subsumption_resolution,[],[f214,f122]) ).
fof(f218,plain,
( d = domain(a)
| ~ spl0_12 ),
inference(forward_demodulation,[],[f216,f150]) ).
fof(f221,plain,
( $false
| ~ spl0_12 ),
inference(forward_subsumption_resolution,[],[f218,f16]) ).
fof(f222,plain,
~ spl0_12,
inference(avatar_contradiction_clause,[],[f221]) ).
fof(f286,plain,
( ~ there_exists(domain(a))
| there_exists(d) ),
inference(superposition,[],[f5,f211]) ).
fof(f290,plain,
there_exists(d),
inference(forward_subsumption_resolution,[],[f286,f166]) ).
fof(f291,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[],[f290,f154]) ).
fof(f292,plain,
spl0_13,
inference(avatar_contradiction_clause,[],[f291]) ).
cnf(s127,plain,
( spl0_12
| ~ spl0_13 ),
inference(sat_conversion,[],[f155]) ).
cnf(s178,plain,
~ spl0_12,
inference(sat_conversion,[],[f222]) ).
cnf(s231,plain,
spl0_13,
inference(sat_conversion,[],[f292]) ).
cnf(s232,plain,
$false,
inference(rat,[],[s127,s231,s178]) ).
fof(f293,plain,
$false,
inference(avatar_sat_refutation,[],[s232]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT005-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.18 % Computer : n007.cluster.edu
% 0.09/0.18 % Model : x86_64 x86_64
% 0.09/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.18 % Memory : 8046.5625MB
% 0.09/0.18 % OS : Linux 6.8.0-71-generic
% 0.09/0.18 % CPULimit : 300
% 0.09/0.18 % WCLimit : 300
% 0.09/0.18 % DateTime : Mon Sep 28 21:10:55 UTC 2026
% 0.09/0.19 % CPUTime :
% 0.09/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.09/0.22 Running first-order model finding
% 0.09/0.22 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
% 0.19/0.26 % (2830043)Will run a generic schedule for satisfiability detection.
% 0.19/0.26 % (2830062)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=2499044694:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.19/0.26 % (2830061)% WARNING: option uhcvi not known.
% 0.19/0.26 % (2830062) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2830043-2830062"...
% 0.19/0.26 % (2830062)...printing done.
% 0.19/0.26 % (2830062)Refutation found. Thanks to Tanya!
% 0.19/0.26 % SZS status Unsatisfiable for theBenchmark
% 0.19/0.26 % SZS output start Proof for theBenchmark
% See solution above
% 0.19/0.26 % (2830062)------------------------------
% 0.19/0.26 % (2830062)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.19/0.26 % (2830062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.19/0.26 % (2830062)CaDiCaL version: 2.1.3
% 0.19/0.26 % (2830062)Termination reason: Refutation
% 0.19/0.26 % (2830062)Time elapsed: 0.004 s
% 0.19/0.26 % (2830062)Peak memory usage: 12 MB
% 0.19/0.26 % (2830062)Instructions burned: 9 (million)
% 0.19/0.26 % (2830043)Success in time 0.035 s
% 0.19/0.26 % Vampire exiting
%------------------------------------------------------------------------------