%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL008-3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n012.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 02:03:13 PM UTC 2026
% Result : Unsatisfiable 4.14s 0.94s
% Output : CNFRefutation 4.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 19 ( 19 unt; 0 def)
% Number of atoms : 19 ( 18 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 37 ( 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [A,B,C] : composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f24,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f25,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f26,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f27,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f34,plain,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f163,plain,
! [X0,X1,X2] : composition(join(X0,converse(X1)),converse(X2)) = join(composition(X0,converse(X2)),converse(composition(X2,X1))),
inference(paramodulation,[status(thm)],[f27,f24]) ).
fof(f604,plain,
! [X0,X1,X2] : composition(join(converse(X0),converse(X1)),converse(X2)) = join(converse(composition(X2,X0)),converse(composition(X2,X1))),
inference(paramodulation,[status(thm)],[f27,f163]) ).
fof(f623,plain,
! [X0,X1,X2] : composition(converse(join(X0,X1)),converse(X2)) = join(converse(composition(X2,X0)),converse(composition(X2,X1))),
inference(forward_demodulation,[status(thm)],[f26,f604]) ).
fof(f624,plain,
! [X0,X1,X2] : converse(composition(X0,join(X1,X2))) = join(converse(composition(X0,X1)),converse(composition(X0,X2))),
inference(forward_demodulation,[status(thm)],[f27,f623]) ).
fof(f625,plain,
! [X0,X1,X2] : converse(composition(X0,join(X1,X2))) = converse(join(composition(X0,X1),composition(X0,X2))),
inference(forward_demodulation,[status(thm)],[f26,f624]) ).
fof(f4921,plain,
! [X0,X1,X2] : converse(converse(composition(X0,join(X1,X2)))) = join(composition(X0,X1),composition(X0,X2)),
inference(paramodulation,[status(thm)],[f625,f25]) ).
fof(f5025,plain,
composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)),
inference(backward_demodulation,[status(thm)],[f5044,f34]) ).
fof(f5044,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[status(thm)],[f25,f4921]) ).
fof(f5045,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f5025]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.01 % Problem : REL008-3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.02 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.03/0.29 % Computer : n012.cluster.edu
% 0.03/0.29 % Model : x86_64 x86_64
% 0.03/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.03/0.29 % Memory : 8046.5625MB
% 0.03/0.29 % OS : Linux 6.8.0-71-generic
% 0.03/0.29 % CPULimit : 300
% 0.03/0.29 % WCLimit : 300
% 0.03/0.29 % DateTime : Mon Sep 21 03:58:06 UTC 2026
% 0.03/0.29 % CPUTime :
% 0.03/0.30 % Drodi V4.1.1
% 4.14/0.94 % Refutation found
% 4.14/0.94 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 4.14/0.94 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 4.14/0.95 % Elapsed time: 0.646956 seconds
% 4.14/0.95 % CPU time: 4.637243 seconds
% 4.14/0.95 % Total memory used: 131.960 MB
% 4.14/0.95 % Net memory used: 129.419 MB
%------------------------------------------------------------------------------