%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT014-2 : 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 09:36:56 AM UTC 2026
% Result : Unsatisfiable 0.27s 0.30s
% Output : Refutation 0.27s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 3
% Syntax : Number of formulae : 8 ( 8 unt; 0 def)
% Number of atoms : 8 ( 7 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 2 ( 2 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-1 aty)
% Number of variables : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0] : codomain(domain(X0)) = domain(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT002-0.ax',codomain_of_domain_is_domain) ).
fof(f2,plain,
! [X0] : domain(X0) = codomain(domain(X0)),
inference(reorient_equations,[],[f1]) ).
fof(f3,axiom,
! [X0] : domain(codomain(X0)) = codomain(X0),
file('/export/starexec/sandbox2/benchmark/Axioms/CAT002-0.ax',domain_of_codomain_is_codomain) ).
fof(f4,plain,
! [X0] : codomain(X0) = domain(codomain(X0)),
inference(reorient_equations,[],[f3]) ).
fof(f11,negated_conjecture,
codomain(codomain(a)) != codomain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_codomain_is_idempotent) ).
fof(f12,plain,
codomain(a) != codomain(codomain(a)),
inference(reorient_equations,[],[f11]) ).
fof(f14,plain,
! [X0] : codomain(X0) = codomain(codomain(X0)),
inference(superposition,[],[f2,f4]) ).
fof(f24,plain,
$false,
inference(backward_subsumption_resolution,[],[f12,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT014-2 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.22 % Computer : n007.cluster.edu
% 0.12/0.22 % Model : x86_64 x86_64
% 0.12/0.22 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.22 % Memory : 8046.5625MB
% 0.12/0.22 % OS : Linux 6.8.0-71-generic
% 0.12/0.22 % CPULimit : 300
% 0.12/0.22 % WCLimit : 300
% 0.12/0.22 % DateTime : Mon Sep 28 21:11:26 UTC 2026
% 0.12/0.22 % CPUTime :
% 0.12/0.22 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.12/0.27 Running first-order model finding
% 0.12/0.27 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
% 0.27/0.30 % (2831849)Will run a generic schedule for satisfiability detection.
% 0.27/0.30 % (2831855)% WARNING: option uhcvi not known.
% 0.27/0.30 % (2831855)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2997718071:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.27/0.30 % (2831855) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-2831849-2831855"...
% 0.27/0.30 % (2831855)...printing done.
% 0.27/0.30 % (2831855)Refutation found. Thanks to Tanya!
% 0.27/0.30 % SZS status Unsatisfiable for theBenchmark
% 0.27/0.30 % SZS output start Proof for theBenchmark
% See solution above
% 0.27/0.30 % (2831855)------------------------------
% 0.27/0.30 % (2831855)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.27/0.30 % (2831855)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.27/0.30 % (2831855)CaDiCaL version: 2.1.3
% 0.27/0.30 % (2831855)Termination reason: Refutation
% 0.27/0.30 % (2831855)Time elapsed: 0.001 s
% 0.27/0.30 % (2831855)Peak memory usage: 11 MB
% 0.27/0.30 % (2831855)Instructions burned: 1 (million)
% 0.27/0.30 % (2831849)Success in time 0.024 s
% 0.27/0.31 % Vampire exiting
%------------------------------------------------------------------------------