%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL009-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n016.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 179.41s 23.18s
% Output : CNFRefutation 143.78s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 7
% Syntax : Number of formulae : 34 ( 28 unt; 0 def)
% Number of atoms : 40 ( 39 equ)
% Maximal formula atoms : 2 ( 1 avg)
% Number of connectives : 21 ( 15 ~; 6 |; 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 : 50 ( 50 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [A,B,C] : composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,negated_conjecture,
join(sk1,sk2) = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
( join(composition(sk3,sk1),composition(sk3,sk2)) != composition(sk3,sk2)
| join(composition(sk1,sk3),composition(sk2,sk3)) != composition(sk2,sk3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f25,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f26,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f35,plain,
join(sk1,sk2) = sk2,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f36,plain,
( join(composition(sk3,sk1),composition(sk3,sk2)) != composition(sk3,sk2)
| join(composition(sk1,sk3),composition(sk2,sk3)) != composition(sk2,sk3) ),
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f37,plain,
( join(composition(sk3,sk2),composition(sk3,sk1)) != composition(sk3,sk2)
| join(composition(sk1,sk3),composition(sk2,sk3)) != composition(sk2,sk3) ),
inference(backward_demodulation,[status(thm)],[f19,f36]) ).
fof(f38,plain,
join(sk2,sk1) = sk2,
inference(backward_demodulation,[status(thm)],[f19,f35]) ).
fof(f43,plain,
( join(composition(sk3,sk2),composition(sk3,sk1)) != composition(sk3,sk2)
| join(composition(sk2,sk3),composition(sk1,sk3)) != composition(sk2,sk3) ),
inference(forward_demodulation,[status(thm)],[f19,f37]) ).
fof(f59,plain,
( join(composition(sk3,sk2),composition(sk3,sk1)) != composition(sk3,sk2)
| composition(join(sk2,sk1),sk3) != composition(sk2,sk3) ),
inference(backward_demodulation,[status(thm)],[f25,f43]) ).
fof(f67,plain,
( join(composition(sk3,sk2),composition(sk3,sk1)) != composition(sk3,sk2)
| composition(sk2,sk3) != composition(sk2,sk3) ),
inference(forward_demodulation,[status(thm)],[f38,f59]) ).
fof(f68,plain,
join(composition(sk3,sk2),composition(sk3,sk1)) != composition(sk3,sk2),
inference(trivial_equality_resolution,[status(thm)],[f67]) ).
fof(f253,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f26,f27]) ).
fof(f268,plain,
! [X0,X1] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f269,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f270,plain,
! [X0,X1,X2] : composition(join(X0,converse(X1)),converse(X2)) = join(composition(X0,converse(X2)),converse(composition(X2,X1))),
inference(paramodulation,[status(thm)],[f28,f25]) ).
fof(f491,plain,
! [X0,X1,X2] : converse(join(composition(converse(X0),X1),X2)) = join(composition(converse(X1),X0),converse(X2)),
inference(paramodulation,[status(thm)],[f269,f253]) ).
fof(f39399,plain,
! [X0,X1,X2] : converse(composition(join(converse(X0),converse(X1)),converse(X2))) = join(composition(converse(converse(X2)),X0),converse(converse(composition(X2,X1)))),
inference(paramodulation,[status(thm)],[f270,f491]) ).
fof(f39538,plain,
! [X0,X1,X2] : composition(X0,converse(join(converse(X1),converse(X2)))) = join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f268,f39399]) ).
fof(f39539,plain,
! [X0,X1,X2] : composition(X0,join(X1,converse(converse(X2)))) = join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f253,f39538]) ).
fof(f39540,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(converse(converse(X0)),X1),converse(converse(composition(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f26,f39539]) ).
fof(f39541,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),converse(converse(composition(X0,X2)))),
inference(forward_demodulation,[status(thm)],[f26,f39540]) ).
fof(f39542,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[status(thm)],[f26,f39541]) ).
fof(f39663,plain,
composition(sk3,join(sk2,sk1)) != composition(sk3,sk2),
inference(backward_demodulation,[status(thm)],[f39542,f68]) ).
fof(f39798,plain,
composition(sk3,sk2) != composition(sk3,sk2),
inference(forward_demodulation,[status(thm)],[f38,f39663]) ).
fof(f39799,plain,
$false,
inference(trivial_equality_resolution,[status(thm)],[f39798]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : REL009-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.03 % Command : drodi -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.08/0.34 % Computer : n016.cluster.edu
% 0.08/0.34 % Model : x86_64 x86_64
% 0.08/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.34 % Memory : 8046.5625MB
% 0.08/0.34 % OS : Linux 6.8.0-71-generic
% 0.08/0.34 % CPULimit : 300
% 0.08/0.34 % WCLimit : 300
% 0.08/0.34 % DateTime : Mon Sep 21 04:02:52 UTC 2026
% 0.08/0.34 % CPUTime :
% 0.08/0.35 % Drodi V4.1.1
% 179.41/23.18 % Refutation found
% 179.41/23.18 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 179.41/23.18 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 16.84/23.36 % Elapsed time: 22.994840 seconds
% 16.84/23.36 % CPU time: 180.812072 seconds
% 16.84/23.36 % Total memory used: 599.689 MB
% 16.84/23.36 % Net memory used: 579.955 MB
%------------------------------------------------------------------------------