%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT013-4 : 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 : 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 09:36:55 AM UTC 2026
% Result : Unsatisfiable 0.08s 0.25s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 4
% Number of leaves : 5
% Syntax : Number of formulae : 13 ( 8 unt; 0 def)
% Number of atoms : 18 ( 7 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 12 ( 7 ~; 5 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 1 con; 0-2 aty)
% Number of variables : 8 ( 8 !; 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(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(codomain(a)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',assume_codomain_exists) ).
fof(f13,negated_conjecture,
domain(codomain(a)) != codomain(a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',prove_domain_of_codomain_is_codomain) ).
fof(f14,plain,
codomain(a) != domain(codomain(a)),
inference(reorient_equations,[],[f13]) ).
fof(f19,plain,
! [X0] :
( there_exists(codomain(X0))
| ~ there_exists(X0) ),
inference(consistent_polarity_flipping,[],[f5]) ).
fof(f21,plain,
! [X0,X1] :
( there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
inference(consistent_polarity_flipping,[],[f7]) ).
fof(f23,plain,
~ there_exists(codomain(a)),
inference(consistent_polarity_flipping,[],[f12]) ).
fof(f25,plain,
~ there_exists(a),
inference(resolution,[],[f19,f23]) ).
fof(f29,plain,
! [X0] :
( there_exists(X0)
| codomain(X0) = domain(codomain(X0)) ),
inference(superposition,[],[f21,f11]) ).
fof(f49,plain,
codomain(a) = domain(codomain(a)),
inference(resolution,[],[f29,f25]) ).
fof(f50,plain,
$false,
inference(forward_subsumption_resolution,[],[f49,f14]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT013-4 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.18 % Computer : n013.cluster.edu
% 0.08/0.18 % Model : x86_64 x86_64
% 0.08/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.18 % Memory : 8046.5625MB
% 0.08/0.18 % OS : Linux 6.8.0-71-generic
% 0.08/0.18 % CPULimit : 300
% 0.08/0.18 % WCLimit : 300
% 0.08/0.18 % DateTime : Mon Sep 28 21:12:51 UTC 2026
% 0.08/0.18 % CPUTime :
% 0.08/0.18 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.08/0.21 Running first-order model finding
% 0.08/0.21 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
% 0.08/0.25 % (1588597)Will run a generic schedule for satisfiability detection.
% 0.08/0.25 % (1588610)% WARNING: option uhcvi not known.
% 0.08/0.25 % (1588610)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1815234251:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.25 % (1588610) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-1588597-1588610"...
% 0.08/0.25 % (1588610)...printing done.
% 0.08/0.25 % (1588610)Refutation found. Thanks to Tanya!
% 0.08/0.25 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.25 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.25 % (1588610)------------------------------
% 0.08/0.25 % (1588610)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.25 % (1588610)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.25 % (1588610)CaDiCaL version: 2.1.3
% 0.08/0.25 % (1588610)Termination reason: Refutation
% 0.08/0.25 % (1588610)Time elapsed: 0.001 s
% 0.08/0.25 % (1588610)Peak memory usage: 11 MB
% 0.08/0.25 % (1588610)Instructions burned: 2 (million)
% 0.08/0.25 % (1588597)Success in time 0.026 s
% 0.08/0.25 % Vampire exiting
%------------------------------------------------------------------------------