TSTP Solution File: REL008+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL008+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:32:15 EDT 2023
% Result : Theorem 14.15s 2.26s
% Output : CNFRefutation 14.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 5
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 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 : 58 (; 55 !; 3 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(negated_conjecture,[status(cth)],[f14]) ).
fof(f22,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f24,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f25,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f29,plain,
? [X0,X1,X2] : composition(X0,join(X1,X2)) != join(composition(X0,X1),composition(X0,X2)),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f30,plain,
composition(sk0_0,join(sk0_1,sk0_2)) != join(composition(sk0_0,sk0_1),composition(sk0_0,sk0_2)),
inference(skolemization,[status(esa)],[f29]) ).
fof(f31,plain,
composition(sk0_0,join(sk0_1,sk0_2)) != join(composition(sk0_0,sk0_1),composition(sk0_0,sk0_2)),
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f163,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f164,plain,
! [X0,X1] : converse(join(X0,converse(X1))) = join(converse(X0),X1),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f213,plain,
! [X0,X1,X2] : converse(composition(join(converse(X0),X1),X2)) = composition(converse(X2),join(X0,converse(X1))),
inference(paramodulation,[status(thm)],[f163,f25]) ).
fof(f215,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f217,plain,
! [X0,X1,X2] : composition(join(converse(X0),X1),converse(X2)) = join(converse(composition(X2,X0)),composition(X1,converse(X2))),
inference(paramodulation,[status(thm)],[f25,f22]) ).
fof(f261,plain,
! [X0,X1,X2] : converse(join(X0,composition(converse(X1),X2))) = join(converse(X0),composition(converse(X2),X1)),
inference(paramodulation,[status(thm)],[f215,f164]) ).
fof(f11810,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)],[f217,f261]) ).
fof(f11811,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)],[f213,f11810]) ).
fof(f11812,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)],[f23,f11811]) ).
fof(f11813,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)],[f23,f11812]) ).
fof(f11814,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(converse(converse(X0)),X2)),
inference(forward_demodulation,[status(thm)],[f23,f11813]) ).
fof(f11815,plain,
! [X0,X1,X2] : composition(X0,join(X1,X2)) = join(composition(X0,X1),composition(X0,X2)),
inference(forward_demodulation,[status(thm)],[f23,f11814]) ).
fof(f11964,plain,
composition(sk0_0,join(sk0_1,sk0_2)) != composition(sk0_0,join(sk0_1,sk0_2)),
inference(backward_demodulation,[status(thm)],[f11815,f31]) ).
fof(f11965,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f11964]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.10 % Problem : REL008+1 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n028.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Tue May 30 10:17:47 EDT 2023
% 0.10/0.31 % CPUTime :
% 0.10/0.31 % Drodi V3.5.1
% 14.15/2.26 % Refutation found
% 14.15/2.26 % SZS status Theorem for theBenchmark: Theorem is valid
% 14.15/2.26 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.76/2.34 % Elapsed time: 2.008044 seconds
% 14.76/2.34 % CPU time: 14.797484 seconds
% 14.76/2.34 % Memory used: 138.684 MB
%------------------------------------------------------------------------------