%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : REL031-2 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n001.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 02:03:23 PM UTC 2026
% Result : Unsatisfiable 17.54s 2.78s
% Output : CNFRefutation 17.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 11
% Syntax : Number of formulae : 51 ( 51 unt; 0 def)
% Number of atoms : 51 ( 50 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 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 : 66 ( 66 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : composition(A,composition(B,C)) = composition(composition(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
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,
join(composition(converse(sk1),sk1),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
join(composition(converse(sk2),sk2),one) = one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) != one,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(thm)],[f1]) ).
fof(f21,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f24,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(thm)],[f5]) ).
fof(f25,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(thm)],[f6]) ).
fof(f26,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(thm)],[f7]) ).
fof(f27,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(thm)],[f8]) ).
fof(f28,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(thm)],[f9]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(thm)],[f10]) ).
fof(f36,plain,
join(composition(converse(sk1),sk1),one) = one,
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f37,plain,
join(composition(converse(sk2),sk2),one) = one,
inference(cnf_transformation,[status(thm)],[f18]) ).
fof(f38,plain,
join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) != one,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f47,plain,
join(one,composition(converse(sk1),sk1)) = one,
inference(forward_demodulation,[status(thm)],[f20,f36]) ).
fof(f48,plain,
join(one,composition(converse(sk2),sk2)) = one,
inference(forward_demodulation,[status(thm)],[f20,f37]) ).
fof(f49,plain,
join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) != one,
inference(forward_demodulation,[status(thm)],[f20,f38]) ).
fof(f56,plain,
! [X0,X1] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(paramodulation,[status(thm)],[f27,f29]) ).
fof(f57,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f27,f29]) ).
fof(f60,plain,
! [X0,X1,X2] : composition(converse(X0),composition(converse(X1),X2)) = composition(converse(composition(X1,X0)),X2),
inference(paramodulation,[status(thm)],[f29,f24]) ).
fof(f76,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f27,f28]) ).
fof(f103,plain,
! [X0] : join(one,join(composition(converse(sk2),sk2),X0)) = join(one,X0),
inference(paramodulation,[status(thm)],[f48,f21]) ).
fof(f197,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f25,f57]) ).
fof(f214,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f27,f197]) ).
fof(f227,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f25,f214]) ).
fof(f236,plain,
! [X0,X1] : composition(join(converse(one),X0),X1) = join(X1,composition(X0,X1)),
inference(paramodulation,[status(thm)],[f214,f26]) ).
fof(f251,plain,
! [X0,X1] : composition(join(one,X0),X1) = join(X1,composition(X0,X1)),
inference(forward_demodulation,[status(thm)],[f227,f236]) ).
fof(f267,plain,
! [X0] : converse(join(one,X0)) = join(one,converse(X0)),
inference(paramodulation,[status(thm)],[f227,f76]) ).
fof(f501,plain,
! [X0] : join(one,composition(join(converse(sk2),X0),sk2)) = join(one,composition(X0,sk2)),
inference(paramodulation,[status(thm)],[f26,f103]) ).
fof(f4292,plain,
! [X0,X1] : converse(composition(join(one,X0),converse(X1))) = join(X1,converse(composition(X0,converse(X1)))),
inference(paramodulation,[status(thm)],[f251,f76]) ).
fof(f4344,plain,
! [X0,X1] : composition(X0,converse(join(one,X1))) = join(X0,converse(composition(X1,converse(X0)))),
inference(forward_demodulation,[status(thm)],[f56,f4292]) ).
fof(f4345,plain,
! [X0,X1] : composition(X0,join(one,converse(X1))) = join(X0,converse(composition(X1,converse(X0)))),
inference(forward_demodulation,[status(thm)],[f267,f4344]) ).
fof(f4346,plain,
! [X0,X1] : composition(X0,join(one,converse(X1))) = join(X0,composition(X0,converse(X1))),
inference(forward_demodulation,[status(thm)],[f56,f4345]) ).
fof(f23651,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,converse(converse(X1)))),
inference(paramodulation,[status(thm)],[f27,f4346]) ).
fof(f23814,plain,
! [X0,X1] : composition(X0,join(one,X1)) = join(X0,composition(X0,X1)),
inference(forward_demodulation,[status(thm)],[f27,f23651]) ).
fof(f24327,plain,
! [X0] : composition(X0,one) = join(X0,composition(X0,composition(converse(sk1),sk1))),
inference(paramodulation,[status(thm)],[f47,f23814]) ).
fof(f24495,plain,
! [X0] : X0 = join(X0,composition(X0,composition(converse(sk1),sk1))),
inference(forward_demodulation,[status(thm)],[f25,f24327]) ).
fof(f26282,plain,
join(one,composition(converse(sk2),sk2)) = join(one,composition(composition(converse(sk2),composition(converse(sk1),sk1)),sk2)),
inference(paramodulation,[status(thm)],[f24495,f501]) ).
fof(f26387,plain,
one = join(one,composition(composition(converse(sk2),composition(converse(sk1),sk1)),sk2)),
inference(forward_demodulation,[status(thm)],[f48,f26282]) ).
fof(f26388,plain,
one = join(one,composition(converse(sk2),composition(composition(converse(sk1),sk1),sk2))),
inference(forward_demodulation,[status(thm)],[f24,f26387]) ).
fof(f26389,plain,
one = join(one,composition(converse(sk2),composition(converse(sk1),composition(sk1,sk2)))),
inference(forward_demodulation,[status(thm)],[f24,f26388]) ).
fof(f26390,plain,
one = join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))),
inference(forward_demodulation,[status(thm)],[f60,f26389]) ).
fof(f26391,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f26390,f49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : REL031-2 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.35 % Computer : n001.cluster.edu
% 0.08/0.35 % Model : x86_64 x86_64
% 0.08/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.35 % Memory : 8046.5625MB
% 0.08/0.35 % OS : Linux 6.8.0-71-generic
% 0.08/0.35 % CPULimit : 300
% 0.08/0.35 % WCLimit : 300
% 0.08/0.35 % DateTime : Mon Sep 21 04:09:43 UTC 2026
% 0.08/0.35 % CPUTime :
% 0.08/0.36 % Drodi V4.1.1
% 17.54/2.78 % Refutation found
% 17.54/2.78 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 17.54/2.78 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 17.54/2.88 % Elapsed time: 2.509223 seconds
% 17.54/2.88 % CPU time: 19.299229 seconds
% 17.54/2.88 % Total memory used: 203.978 MB
% 17.54/2.88 % Net memory used: 194.551 MB
%------------------------------------------------------------------------------