%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT005-3 : 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 : n013.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 0.21s 0.28s
% Output : Refutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 9
% Syntax : Number of formulae : 28 ( 13 unt; 2 def)
% Number of atoms : 43 ( 10 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 13 |; 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/CAT003-0.ax',codomain_has_elements) ).
fof(f6,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| there_exists(domain(X0)) ),
file('/export/starexec/sandbox2/benchmark/Axioms/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(f11,axiom,
! [X0] : compose(codomain(X0),X0) = X0,
file('/export/starexec/sandbox2/benchmark/Axioms/CAT003-0.ax',compose_codomain) ).
fof(f20,axiom,
there_exists(compose(a,d)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ad_exists) ).
fof(f21,axiom,
! [X0] :
( ~ there_exists(compose(X0,d))
| compose(X0,d) = X0 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',xd_equals_x) ).
fof(f23,negated_conjecture,
domain(a) != d,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_a_is_d) ).
fof(f24,plain,
d != domain(a),
inference(reorient_equations,[],[f23]) ).
fof(f27,plain,
there_exists(domain(a)),
inference(resolution,[],[f6,f20]) ).
fof(f35,plain,
( ~ there_exists(d)
| d = codomain(d) ),
inference(superposition,[],[f21,f11]) ).
fof(f37,definition,
( spl0_1
<=> d = codomain(d) ),
introduced(definition,[new_symbols(definition,[spl0_1])],[avatar_definition]) ).
fof(f39,plain,
( d = codomain(d)
| ~ spl0_1 ),
inference(avatar_component_clause,[],[f37]) ).
fof(f41,definition,
( spl0_2
<=> there_exists(d) ),
introduced(definition,[new_symbols(definition,[spl0_2])],[avatar_definition]) ).
fof(f43,plain,
( ~ there_exists(d)
| spl0_2 ),
inference(avatar_component_clause,[],[f41]) ).
fof(f44,plain,
( spl0_1
| ~ spl0_2 ),
inference(avatar_split_clause,[],[f35,f41,f37]) ).
fof(f47,plain,
domain(a) = codomain(d),
inference(resolution,[],[f7,f20]) ).
fof(f67,plain,
( ~ there_exists(domain(a))
| there_exists(d) ),
inference(superposition,[],[f5,f47]) ).
fof(f68,plain,
there_exists(d),
inference(forward_subsumption_resolution,[],[f67,f27]) ).
fof(f69,plain,
( $false
| spl0_2 ),
inference(forward_subsumption_resolution,[],[f68,f43]) ).
fof(f70,plain,
spl0_2,
inference(avatar_contradiction_clause,[],[f69]) ).
fof(f91,plain,
( d = domain(a)
| ~ spl0_1 ),
inference(superposition,[],[f39,f47]) ).
fof(f97,plain,
( $false
| ~ spl0_1 ),
inference(forward_subsumption_resolution,[],[f91,f24]) ).
fof(f98,plain,
~ spl0_1,
inference(avatar_contradiction_clause,[],[f97]) ).
cnf(s1,plain,
( spl0_1
| ~ spl0_2 ),
inference(sat_conversion,[],[f44]) ).
cnf(s2,plain,
spl0_2,
inference(sat_conversion,[],[f70]) ).
cnf(s4,plain,
~ spl0_1,
inference(sat_conversion,[],[f98]) ).
cnf(s5,plain,
$false,
inference(rat,[],[s1,s2,s4]) ).
fof(f99,plain,
$false,
inference(avatar_sat_refutation,[],[s5]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT005-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.20 % Computer : n013.cluster.edu
% 0.11/0.20 % Model : x86_64 x86_64
% 0.11/0.20 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.20 % Memory : 8046.5625MB
% 0.11/0.20 % OS : Linux 6.8.0-71-generic
% 0.11/0.20 % CPULimit : 300
% 0.11/0.20 % WCLimit : 300
% 0.11/0.20 % DateTime : Mon Sep 28 21:12:21 UTC 2026
% 0.11/0.21 % CPUTime :
% 0.11/0.21 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.11/0.24 Running first-order model finding
% 0.11/0.24 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
% 0.21/0.28 % (1586870)Will run a generic schedule for satisfiability detection.
% 0.21/0.28 % (1586890)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=3799964504:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.21/0.28 % (1586890) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1586870-1586890"...
% 0.21/0.28 % (1586890)...printing done.
% 0.21/0.28 % (1586887)% WARNING: option uhcvi not known.
% 0.21/0.28 % (1586890)Refutation found. Thanks to Tanya!
% 0.21/0.28 % SZS status Unsatisfiable for theBenchmark
% 0.21/0.28 % SZS output start Proof for theBenchmark
% See solution above
% 0.21/0.28 % (1586890)------------------------------
% 0.21/0.28 % (1586890)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.21/0.28 % (1586890)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.21/0.28 % (1586890)CaDiCaL version: 2.1.3
% 0.21/0.28 % (1586890)Termination reason: Refutation
% 0.21/0.28 % (1586890)Time elapsed: 0.002 s
% 0.21/0.28 % (1586890)Peak memory usage: 12 MB
% 0.21/0.28 % (1586890)Instructions burned: 3 (million)
% 0.21/0.28 % (1586870)Success in time 0.031 s
% 0.21/0.28 % Vampire exiting
%------------------------------------------------------------------------------