%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL008-1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 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 : Thu Sep 24 02:03:12 PM UTC 2026
% Result : Unsatisfiable 11.99s 2.09s
% Output : CNFRefutation 11.99s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 24 ( 24 unt; 0 def)
% Number of atoms : 24 ( 23 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 : 49 ( 49 !; 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(f14,negated_conjecture,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f22,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f23,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f24,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f28,plain,
composition(sk1,join(sk2,sk3)) != join(composition(sk1,sk2),composition(sk1,sk3)),
inference(cnf_transformation,[status(thm)],[f14]) ).
fof(f103,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f104,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f157,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f22,f24]) ).
fof(f161,plain,
! [X0,X1,X2] : composition(join(converse(X0),X1),converse(X2)) = join(converse(composition(X2,X0)),composition(X1,converse(X2))),
inference(paramodulation,[status(thm)],[f24,f21]) ).
fof(f196,plain,
! [X0,X1,X2] : converse(composition(join(converse(X0),X1),X2)) = composition(converse(X2),join(X0,converse(X1))),
inference(paramodulation,[status(thm)],[f103,f24]) ).
fof(f570,plain,
! [X0,X1,X2] : converse(join(X0,composition(converse(X1),X2))) = join(converse(X0),composition(converse(X2),X1)),
inference(paramodulation,[status(thm)],[f157,f104]) ).
fof(f5765,plain,
! [X0,X1,X2] : converse(composition(join(converse(X0),converse(X1)),converse(X2))) = join(converse(converse(composition(X2,X0))),composition(converse(converse(X2)),X1)),
inference(paramodulation,[status(thm)],[f161,f570]) ).
fof(f5841,plain,
! [X0,X1,X2] : composition(converse(converse(X0)),join(X1,converse(converse(X2)))) = join(converse(converse(composition(X0,X1))),composition(converse(converse(X0)),X2)),
inference(forward_demodulation,[status(thm)],[f196,f5765]) ).
fof(f5842,plain,
! [X0,X1,X2] : composition(X0,join(X1,converse(converse(X2)))) = join(converse(converse(composition(X0,X1))),composition(converse(converse(X0)),X2)),
inference(forward_demodulation,[status(thm)],[f22,f5841]) ).
fof(f5843,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(converse(converse(composition(X0,X1))),composition(converse(converse(X0)),X2)),
inference(forward_demodulation,[status(thm)],[f22,f5842]) ).
fof(f5844,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(converse(converse(X0)),X2)),
inference(forward_demodulation,[status(thm)],[f22,f5843]) ).
fof(f5845,plain,
composition(sk1,join(sk2,sk3)) != composition(sk1,join(sk2,sk3)),
inference(backward_demodulation,[status(thm)],[f5849,f28]) ).
fof(f5849,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[status(thm)],[f22,f5844]) ).
fof(f5938,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f5845]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : REL008-1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.45 % Computer : n013.cluster.edu
% 0.19/0.45 % Model : x86_64 x86_64
% 0.19/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.45 % Memory : 8046.5625MB
% 0.19/0.45 % OS : Linux 6.8.0-71-generic
% 0.19/0.45 % CPULimit : 300
% 0.19/0.45 % WCLimit : 300
% 0.19/0.45 % DateTime : Mon Sep 21 03:57:50 UTC 2026
% 0.19/0.45 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 11.99/2.09 % Refutation found
% 11.99/2.09 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 11.99/2.09 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.66/2.14 % Elapsed time: 1.675902 seconds
% 0.66/2.14 % CPU time: 12.819948 seconds
% 0.66/2.14 % Total memory used: 99.965 MB
% 0.66/2.14 % Net memory used: 97.700 MB
%------------------------------------------------------------------------------