%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT012-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n009.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 0.13s 0.24s
% Output : Refutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 5
% Syntax : Number of formulae : 10 ( 7 unt; 0 def)
% Number of atoms : 13 ( 6 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 8 ( 5 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 2 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 : 5 ( 5 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f4,axiom,
! [X0] :
( ~ there_exists(domain(X0))
| there_exists(X0) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',domain_has_elements) ).
fof(f7,axiom,
! [X0,X1] :
( ~ there_exists(compose(X0,X1))
| domain(X0) = codomain(X1) ),
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',domain_codomain_composition1) ).
fof(f10,axiom,
! [X0] : compose(X0,domain(X0)) = X0,
file('/export/starexec/sandbox/benchmark/Axioms/CAT003-0.ax',compose_domain) ).
fof(f20,axiom,
there_exists(domain(a)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',assume_domain_exists) ).
fof(f21,negated_conjecture,
codomain(domain(a)) != domain(a),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_codomain_of_domain_is_domain) ).
fof(f22,plain,
domain(a) != codomain(domain(a)),
inference(reorient_equations,[],[f21]) ).
fof(f26,plain,
there_exists(a),
inference(resolution,[],[f4,f20]) ).
fof(f36,plain,
! [X0] :
( ~ there_exists(X0)
| domain(X0) = codomain(domain(X0)) ),
inference(superposition,[],[f7,f10]) ).
fof(f56,plain,
domain(a) = codomain(domain(a)),
inference(resolution,[],[f36,f26]) ).
fof(f57,plain,
$false,
inference(forward_subsumption_resolution,[],[f56,f22]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT012-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.17 % Computer : n009.cluster.edu
% 0.13/0.17 % Model : x86_64 x86_64
% 0.13/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.17 % Memory : 8046.5625MB
% 0.13/0.17 % OS : Linux 6.8.0-71-generic
% 0.13/0.17 % CPULimit : 300
% 0.13/0.17 % WCLimit : 300
% 0.13/0.17 % DateTime : Mon Sep 28 21:13:30 UTC 2026
% 0.13/0.17 % CPUTime :
% 0.13/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.13/0.20 Running first-order model finding
% 0.13/0.20 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.24 % (3484970)Will run a generic schedule for satisfiability detection.
% 0.13/0.24 % (3484978)dis+10_1_sil=32000:sp=arity:random_seed=3881337780:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.13/0.24 % (3484978) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3484970-3484978"...
% 0.13/0.24 % (3484978)...printing done.
% 0.13/0.24 % (3484978)Refutation found. Thanks to Tanya!
% 0.13/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.13/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.13/0.24 % (3484978)------------------------------
% 0.13/0.24 % (3484978)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.13/0.24 % (3484978)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.13/0.24 % (3484978)CaDiCaL version: 2.1.3
% 0.13/0.24 % (3484978)Termination reason: Refutation
% 0.13/0.24 % (3484978)Time elapsed: 0.001 s
% 0.13/0.24 % (3484978)Peak memory usage: 11 MB
% 0.13/0.24 % (3484978)Instructions burned: 2 (million)
% 0.13/0.24 % (3484970)Success in time 0.03 s
% 0.13/0.24 % Vampire exiting
%------------------------------------------------------------------------------