%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : CAT009-3 : TPTP v9.3.1. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 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 : Thu Sep 24 12:07:28 PM UTC 2026
% Result : Unsatisfiable 1.10s 0.60s
% Output : CNFRefutation 1.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 26 ( 16 unt; 0 def)
% Number of atoms : 36 ( 15 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 22 ( 12 ~; 10 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 avg)
% Maximal term depth : 3 ( 2 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 26 ( 26 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X] :
( there_exists(X)
| ~ there_exists(codomain(X)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X,Y] :
( there_exists(domain(X))
| ~ there_exists(compose(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X,Y] :
( domain(X) = codomain(Y)
| ~ there_exists(compose(X,Y)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X,Y,Z] : compose(X,compose(Y,Z)) = compose(compose(X,Y),Z),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X] : compose(X,domain(X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,hypothesis,
there_exists(compose(a,b)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
domain(compose(a,b)) != domain(b),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,plain,
! [X0] :
( there_exists(X0)
| ~ there_exists(codomain(X0)) ),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f26,plain,
! [X] :
( there_exists(domain(X))
| ! [Y] : ~ there_exists(compose(X,Y)) ),
inference(miniscoping,[status(thm)],[f6]) ).
fof(f27,plain,
! [X0,X1] :
( there_exists(domain(X0))
| ~ there_exists(compose(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f28,plain,
! [X0,X1] :
( domain(X0) = codomain(X1)
| ~ there_exists(compose(X0,X1)) ),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f30,plain,
! [X0,X1,X2] : compose(X0,compose(X1,X2)) = compose(compose(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f31,plain,
! [X0] : compose(X0,domain(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f41,plain,
there_exists(compose(a,b)),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f42,plain,
domain(compose(a,b)) != domain(b),
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f47,plain,
there_exists(domain(a)),
inference(resolution,[status(thm)],[f41,f27]) ).
fof(f81,plain,
domain(a) = codomain(b),
inference(resolution,[status(thm)],[f28,f41]) ).
fof(f82,plain,
! [X0,X1,X2] :
( domain(compose(X0,X1)) = codomain(X2)
| ~ there_exists(compose(X0,compose(X1,X2))) ),
inference(paramodulation,[status(thm)],[f30,f28]) ).
fof(f84,plain,
! [X0] :
( domain(X0) = codomain(domain(X0))
| ~ there_exists(X0) ),
inference(paramodulation,[status(thm)],[f31,f28]) ).
fof(f85,plain,
there_exists(codomain(b)),
inference(backward_demodulation,[status(thm)],[f81,f47]) ).
fof(f130,plain,
there_exists(b),
inference(resolution,[status(thm)],[f85,f25]) ).
fof(f164,plain,
! [X0,X1] :
( domain(compose(X0,X1)) = codomain(domain(X1))
| ~ there_exists(compose(X0,X1)) ),
inference(paramodulation,[status(thm)],[f31,f82]) ).
fof(f167,plain,
domain(b) = codomain(domain(b)),
inference(resolution,[status(thm)],[f84,f130]) ).
fof(f1416,plain,
domain(compose(a,b)) = codomain(domain(b)),
inference(resolution,[status(thm)],[f164,f41]) ).
fof(f1432,plain,
domain(compose(a,b)) = domain(b),
inference(forward_demodulation,[status(thm)],[f167,f1416]) ).
fof(f1433,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1432,f42]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : CAT009-3 : TPTP v9.3.1. Released v1.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.11/0.37 % Computer : n018.cluster.edu
% 0.11/0.37 % Model : x86_64 x86_64
% 0.11/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.37 % Memory : 8046.5625MB
% 0.11/0.37 % OS : Linux 6.8.0-71-generic
% 0.11/0.37 % CPULimit : 300
% 0.11/0.37 % WCLimit : 300
% 0.11/0.37 % DateTime : Mon Sep 21 13:57:45 UTC 2026
% 0.11/0.37 % CPUTime :
% 0.11/0.38 % Drodi V4.1.1
% 1.10/0.60 % Refutation found
% 1.10/0.60 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 1.10/0.60 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.10/0.62 % Elapsed time: 0.230360 seconds
% 1.10/0.62 % CPU time: 1.577497 seconds
% 1.10/0.62 % Total memory used: 133.629 MB
% 1.10/0.62 % Net memory used: 130.432 MB
%------------------------------------------------------------------------------