%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT006-3 : 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 : n001.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 0.06s 0.25s
% Output : Refutation 0.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 9
% Syntax : Number of formulae : 25 ( 13 unt; 2 def)
% Number of atoms : 37 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 26 ( 14 ~; 10 |; 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(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',domain_has_elements) ).
fof(f6,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',composition_implies_domain) ).
fof(f7,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',domain_codomain_composition1) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',compose_domain) ).
fof(f20,axiom,
there_exists(compose(d,a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',da_exists) ).
fof(f22,axiom,
! [X0] :
( ~ there_exists(compose(d,X0))
| compose(d,X0) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dx_equals_x) ).
fof(f23,negated_conjecture,
codomain(a) != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_of_a_is_d) ).
fof(f24,plain,
d != codomain(a),
inference(reorient_equations,[],[f23]) ).
fof(f36,plain,
there_exists(domain(d)),
inference(resolution,[],[f6,f20]) ).
fof(f42,plain,
there_exists(d),
inference(resolution,[],[f36,f4]) ).
fof(f49,definition,
( spl0_2
<=> there_exists(d) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f54,plain,
( ~ there_exists(d)
| d = domain(d) ),
inference(superposition,[],[f22,f10]) ).
fof(f56,definition,
( spl0_3
<=> d = domain(d) ),
introduced(definition,[new_symbols(definition,[spl0_3])],[avatar_definition]) ).
fof(f58,plain,
( d = domain(d)
| ~ spl0_3 ),
inference(avatar_component_clause,[],[f56]) ).
fof(f59,plain,
( spl0_3
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f54,f49,f56]) ).
fof(f60,plain,
codomain(a) = domain(d),
inference(resolution,[],[f7,f20]) ).
fof(f76,plain,
spl0_2,
inference(avatar_split_clause,[],[f42,f49]) ).
fof(f102,plain,
( d = codomain(a)
| ~ spl0_3 ),
inference(forward_demodulation,[],[f60,f58]) ).
fof(f103,plain,
( $false
| ~ spl0_3 ),
inference(forward_subsumption_resolution,[],[f102,f24]) ).
fof(f104,plain,
~ spl0_3,
inference(avatar_contradiction_clause,[],[f103]) ).
cnf(s2,plain,
( ~ spl0_2
| spl0_3 ),
inference(sat_conversion,[],[f59]) ).
cnf(s4,plain,
spl0_2,
inference(sat_conversion,[],[f76]) ).
cnf(s5,plain,
~ spl0_3,
inference(sat_conversion,[],[f104]) ).
cnf(s6,plain,
$false,
inference(rat,[],[s2,s5,s4]) ).
fof(f105,plain,
$false,
inference(avatar_sat_refutation,[],[s6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT006-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.18 % Computer : n001.cluster.edu
% 0.06/0.18 % Model : x86_64 x86_64
% 0.06/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.18 % Memory : 8046.5625MB
% 0.06/0.18 % OS : Linux 6.8.0-71-generic
% 0.06/0.18 % CPULimit : 300
% 0.06/0.18 % WCLimit : 300
% 0.06/0.18 % DateTime : Mon Sep 28 21:18:49 UTC 2026
% 0.06/0.18 % CPUTime :
% 0.06/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.06/0.21 Running first-order model finding
% 0.06/0.21 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
% 0.06/0.25 % (758605)Will run a generic schedule for satisfiability detection.
% 0.06/0.25 % (758624)% WARNING: option uhcvi not known.
% 0.06/0.25 % (758624)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=9559655:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.06/0.25 % (758624) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-758605-758624"...
% 0.06/0.25 % (758624)...printing done.
% 0.06/0.25 % (758624)Refutation found. Thanks to Tanya!
% 0.06/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.06/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.06/0.25 % (758624)------------------------------
% 0.06/0.25 % (758624)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.06/0.25 % (758624)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.06/0.25 % (758624)CaDiCaL version: 2.1.3
% 0.06/0.25 % (758624)Termination reason: Refutation
% 0.06/0.25 % (758624)Time elapsed: 0.002 s
% 0.06/0.25 % (758624)Peak memory usage: 12 MB
% 0.06/0.25 % (758624)Instructions burned: 3 (million)
% 0.06/0.25 % (758605)Success in time 0.033 s
% 0.06/0.25 % Vampire exiting
%------------------------------------------------------------------------------