TSTP Solution File: REL049-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL049-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n015.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 12:32:31 EDT 2023
% Result : Unsatisfiable 0.20s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 5
% Syntax : Number of formulae : 16 ( 16 unt; 0 def)
% Number of atoms : 16 ( 15 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 6 ( 6 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 10 (; 10 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
join(sk1,sk2) = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
join(sk3,sk2) = sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,negated_conjecture,
join(join(sk1,sk3),sk2) != sk2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f18,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f30,plain,
join(sk1,sk2) = sk2,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f31,plain,
join(sk3,sk2) = sk2,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f32,plain,
join(join(sk1,sk3),sk2) != sk2,
inference(cnf_transformation,[status(esa)],[f16]) ).
fof(f35,plain,
join(sk2,sk3) = sk2,
inference(forward_demodulation,[status(thm)],[f17,f31]) ).
fof(f36,plain,
join(sk1,join(sk3,sk2)) != sk2,
inference(forward_demodulation,[status(thm)],[f18,f32]) ).
fof(f37,plain,
join(sk1,join(sk2,sk3)) != sk2,
inference(forward_demodulation,[status(thm)],[f17,f36]) ).
fof(f38,plain,
join(sk1,sk2) != sk2,
inference(forward_demodulation,[status(thm)],[f35,f37]) ).
fof(f39,plain,
sk2 != sk2,
inference(forward_demodulation,[status(thm)],[f30,f38]) ).
fof(f40,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f39]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : REL049-1 : TPTP v8.1.2. Released v4.0.0.
% 0.12/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n015.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 10:18:34 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.20/0.35 % Drodi V3.5.1
% 0.20/0.36 % Refutation found
% 0.20/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.20/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.37 % Elapsed time: 0.016707 seconds
% 0.20/0.37 % CPU time: 0.027678 seconds
% 0.20/0.37 % Memory used: 749.442 KB
%------------------------------------------------------------------------------