%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : CAT007-3 : 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 : n018.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 0.08s 0.24s
% Output : Refutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 3
% Number of leaves : 4
% Syntax : Number of formulae : 7 ( 5 unt; 0 def)
% Number of atoms : 10 ( 0 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 7 ( 4 ~; 3 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 2 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 2 ( 2 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0,X1] :
( ~ equalish(domain(X0),codomain(X1))
| ~ there_exists(domain(X0))
| there_exists(compose(X0,X1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_codomain_composition2) ).
fof(f9,axiom,
there_exists(domain(c2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_of_c2_exists) ).
fof(f11,axiom,
equalish(domain(c2),codomain(c1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain_of_c2_equals_codomain_of_c1) ).
fof(f12,negated_conjecture,
~ there_exists(compose(c2,c1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_c1_c2_is_defined) ).
fof(f23,plain,
( ~ there_exists(domain(c2))
| there_exists(compose(c2,c1)) ),
inference(resolution,[],[f5,f11]) ).
fof(f24,plain,
there_exists(compose(c2,c1)),
inference(forward_subsumption_resolution,[],[f23,f9]) ).
fof(f25,plain,
$false,
inference(forward_subsumption_resolution,[],[f24,f12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : CAT007-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.17 % Computer : n018.cluster.edu
% 0.08/0.17 % Model : x86_64 x86_64
% 0.08/0.17 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.17 % Memory : 8046.5625MB
% 0.08/0.17 % OS : Linux 6.8.0-71-generic
% 0.08/0.17 % CPULimit : 300
% 0.08/0.17 % WCLimit : 300
% 0.08/0.17 % DateTime : Mon Sep 28 21:15:25 UTC 2026
% 0.08/0.17 % CPUTime :
% 0.08/0.17 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.08/0.20 Running first-order model finding
% 0.08/0.20 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
% 0.08/0.24 % (3795187)Will run a generic schedule for satisfiability detection.
% 0.08/0.24 % (3795193)% WARNING: option uhcvi not known.
% 0.08/0.24 % (3795193)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=2586350808:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.08/0.24 % (3795193) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-3795187-3795193"...
% 0.08/0.24 % (3795193)...printing done.
% 0.08/0.24 % (3795193)Refutation found. Thanks to Tanya!
% 0.08/0.24 % SZS status Unsatisfiable for theBenchmark
% 0.08/0.24 % SZS output start Proof for theBenchmark
% See solution above
% 0.08/0.24 % (3795193)------------------------------
% 0.08/0.24 % (3795193)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.08/0.24 % (3795193)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.08/0.24 % (3795193)CaDiCaL version: 2.1.3
% 0.08/0.24 % (3795193)Termination reason: Refutation
% 0.08/0.24 % (3795193)Time elapsed: 0.001 s
% 0.08/0.24 % (3795193)Peak memory usage: 11 MB
% 0.08/0.24 % (3795187)Success in time 0.03 s
% 0.08/0.24 % Vampire exiting
%------------------------------------------------------------------------------