TSTP Solution File: REL031-2 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL031-2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n001.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed May 31 12:32:25 EDT 2023
% Result : Unsatisfiable 197.28s 25.27s
% Output : CNFRefutation 201.46s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 11
% Syntax : Number of formulae : 43 ( 43 unt; 0 def)
% Number of atoms : 43 ( 42 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 : 50 (; 50 !; 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(esa)],[f1]) ).
fof(f21,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f24,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f25,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f26,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f27,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f28,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f29,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f36,plain,
join(composition(converse(sk1),sk1),one) = one,
inference(cnf_transformation,[status(esa)],[f17]) ).
fof(f37,plain,
join(composition(converse(sk2),sk2),one) = one,
inference(cnf_transformation,[status(esa)],[f18]) ).
fof(f38,plain,
join(composition(converse(composition(sk1,sk2)),composition(sk1,sk2)),one) != one,
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f41,plain,
join(one,composition(converse(sk1),sk1)) = one,
inference(forward_demodulation,[status(thm)],[f20,f36]) ).
fof(f42,plain,
join(one,composition(converse(sk2),sk2)) = one,
inference(forward_demodulation,[status(thm)],[f20,f37]) ).
fof(f43,plain,
join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))) != one,
inference(forward_demodulation,[status(thm)],[f20,f38]) ).
fof(f50,plain,
! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(paramodulation,[status(thm)],[f25,f24]) ).
fof(f60,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f27,f29]) ).
fof(f129,plain,
! [X0] : join(one,join(composition(converse(sk2),sk2),X0)) = join(one,X0),
inference(paramodulation,[status(thm)],[f42,f21]) ).
fof(f145,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f25,f60]) ).
fof(f146,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f27,f145]) ).
fof(f170,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f50,f146]) ).
fof(f171,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[status(thm)],[f146,f170]) ).
fof(f241,plain,
! [X0,X1] : composition(join(one,X0),X1) = join(X1,composition(X0,X1)),
inference(paramodulation,[status(thm)],[f171,f26]) ).
fof(f790,plain,
! [X0] : join(one,composition(join(converse(sk2),X0),sk2)) = join(one,composition(X0,sk2)),
inference(paramodulation,[status(thm)],[f26,f129]) ).
fof(f855,plain,
! [X0] : join(one,composition(converse(join(sk2,X0)),sk2)) = join(one,composition(converse(X0),sk2)),
inference(paramodulation,[status(thm)],[f28,f790]) ).
fof(f66657,plain,
! [X0] : composition(one,X0) = join(X0,composition(composition(converse(sk1),sk1),X0)),
inference(paramodulation,[status(thm)],[f41,f241]) ).
fof(f66658,plain,
! [X0] : X0 = join(X0,composition(composition(converse(sk1),sk1),X0)),
inference(forward_demodulation,[status(thm)],[f171,f66657]) ).
fof(f66659,plain,
! [X0] : X0 = join(X0,composition(converse(sk1),composition(sk1,X0))),
inference(forward_demodulation,[status(thm)],[f24,f66658]) ).
fof(f171072,plain,
join(one,composition(converse(sk2),sk2)) = join(one,composition(converse(composition(converse(sk1),composition(sk1,sk2))),sk2)),
inference(paramodulation,[status(thm)],[f66659,f855]) ).
fof(f171073,plain,
one = join(one,composition(converse(composition(converse(sk1),composition(sk1,sk2))),sk2)),
inference(forward_demodulation,[status(thm)],[f42,f171072]) ).
fof(f171074,plain,
one = join(one,composition(composition(converse(composition(sk1,sk2)),sk1),sk2)),
inference(forward_demodulation,[status(thm)],[f60,f171073]) ).
fof(f171075,plain,
one = join(one,composition(converse(composition(sk1,sk2)),composition(sk1,sk2))),
inference(forward_demodulation,[status(thm)],[f24,f171074]) ).
fof(f171076,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f171075,f43]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL031-2 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.33 % Computer : n001.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Tue May 30 10:35:00 EDT 2023
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % Drodi V3.5.1
% 197.28/25.27 % Refutation found
% 197.28/25.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 197.28/25.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 203.04/26.81 % Elapsed time: 26.242933 seconds
% 203.04/26.81 % CPU time: 194.365811 seconds
% 203.04/26.81 % Memory used: 2.013 GB
%------------------------------------------------------------------------------