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 : Theorem 8.15s 1.47s
% Output : CNFRefutation 8.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 9
% Syntax : Number of formulae : 51 ( 47 unt; 0 def)
% Number of atoms : 59 ( 58 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 13 ( 5 ~; 0 |; 6 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 6 ( 3 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 : 68 (; 66 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,conjecture,
! [X0,X1] :
( ( join(composition(converse(X0),X0),one) = one
& join(composition(converse(X1),X1),one) = one )
=> join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) = one ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,negated_conjecture,
~ ! [X0,X1] :
( ( join(composition(converse(X0),X0),one) = one
& join(composition(converse(X1),X1),one) = one )
=> join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) = one ),
inference(negated_conjecture,[status(cth)],[f17]) ).
fof(f19,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f20,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f23,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f24,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f25,plain,
! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
inference(cnf_transformation,[status(esa)],[f7]) ).
fof(f26,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f27,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f28,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f35,plain,
? [X0,X1] :
( join(composition(converse(X0),X0),one) = one
& join(composition(converse(X1),X1),one) = one
& join(composition(converse(composition(X0,X1)),composition(X0,X1)),one) != one ),
inference(pre_NNF_transformation,[status(esa)],[f18]) ).
fof(f36,plain,
( join(composition(converse(sk0_0),sk0_0),one) = one
& join(composition(converse(sk0_1),sk0_1),one) = one
& join(composition(converse(composition(sk0_0,sk0_1)),composition(sk0_0,sk0_1)),one) != one ),
inference(skolemization,[status(esa)],[f35]) ).
fof(f37,plain,
join(composition(converse(sk0_0),sk0_0),one) = one,
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f38,plain,
join(composition(converse(sk0_1),sk0_1),one) = one,
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f39,plain,
join(composition(converse(composition(sk0_0,sk0_1)),composition(sk0_0,sk0_1)),one) != one,
inference(cnf_transformation,[status(esa)],[f36]) ).
fof(f40,plain,
one = join(one,composition(converse(sk0_1),sk0_1)),
inference(paramodulation,[status(thm)],[f38,f19]) ).
fof(f41,plain,
one = join(one,composition(converse(sk0_0),sk0_0)),
inference(paramodulation,[status(thm)],[f37,f19]) ).
fof(f44,plain,
join(one,composition(converse(composition(sk0_0,sk0_1)),composition(sk0_0,sk0_1))) != one,
inference(paramodulation,[status(thm)],[f19,f39]) ).
fof(f54,plain,
! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(paramodulation,[status(thm)],[f24,f23]) ).
fof(f63,plain,
! [X0,X1] : converse(composition(X0,converse(X1))) = composition(X1,converse(X0)),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f64,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f26,f28]) ).
fof(f65,plain,
! [X0,X1,X2] : composition(converse(X0),composition(converse(X1),X2)) = composition(converse(composition(X1,X0)),X2),
inference(paramodulation,[status(thm)],[f28,f23]) ).
fof(f72,plain,
! [X0] : join(one,join(composition(converse(sk0_1),sk0_1),X0)) = join(one,X0),
inference(paramodulation,[status(thm)],[f40,f20]) ).
fof(f122,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f26,f27]) ).
fof(f133,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f24,f64]) ).
fof(f134,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f26,f133]) ).
fof(f148,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f54,f134]) ).
fof(f149,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[status(thm)],[f134,f148]) ).
fof(f162,plain,
! [X0,X1] : composition(join(one,X0),X1) = join(X1,composition(X0,X1)),
inference(paramodulation,[status(thm)],[f149,f25]) ).
fof(f380,plain,
! [X0] : join(one,composition(join(converse(sk0_1),X0),sk0_1)) = join(one,composition(X0,sk0_1)),
inference(paramodulation,[status(thm)],[f25,f72]) ).
fof(f517,plain,
! [X0] : composition(one,X0) = join(X0,composition(composition(converse(sk0_0),sk0_0),X0)),
inference(paramodulation,[status(thm)],[f41,f162]) ).
fof(f518,plain,
! [X0] : X0 = join(X0,composition(composition(converse(sk0_0),sk0_0),X0)),
inference(forward_demodulation,[status(thm)],[f149,f517]) ).
fof(f519,plain,
! [X0] : X0 = join(X0,composition(converse(sk0_0),composition(sk0_0,X0))),
inference(forward_demodulation,[status(thm)],[f23,f518]) ).
fof(f576,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(composition(converse(sk0_0),composition(sk0_0,converse(X0))))),
inference(paramodulation,[status(thm)],[f519,f122]) ).
fof(f577,plain,
! [X0] : X0 = join(X0,converse(composition(converse(sk0_0),composition(sk0_0,converse(X0))))),
inference(forward_demodulation,[status(thm)],[f26,f576]) ).
fof(f578,plain,
! [X0] : X0 = join(X0,composition(converse(composition(sk0_0,converse(X0))),sk0_0)),
inference(forward_demodulation,[status(thm)],[f64,f577]) ).
fof(f579,plain,
! [X0] : X0 = join(X0,composition(composition(X0,converse(sk0_0)),sk0_0)),
inference(forward_demodulation,[status(thm)],[f63,f578]) ).
fof(f580,plain,
! [X0] : X0 = join(X0,composition(X0,composition(converse(sk0_0),sk0_0))),
inference(forward_demodulation,[status(thm)],[f23,f579]) ).
fof(f1078,plain,
! [X0] : converse(X0) = join(converse(X0),composition(converse(composition(sk0_0,X0)),sk0_0)),
inference(paramodulation,[status(thm)],[f65,f580]) ).
fof(f2956,plain,
join(one,composition(converse(sk0_1),sk0_1)) = join(one,composition(composition(converse(composition(sk0_0,sk0_1)),sk0_0),sk0_1)),
inference(paramodulation,[status(thm)],[f1078,f380]) ).
fof(f2957,plain,
one = join(one,composition(composition(converse(composition(sk0_0,sk0_1)),sk0_0),sk0_1)),
inference(forward_demodulation,[status(thm)],[f40,f2956]) ).
fof(f2958,plain,
one = join(one,composition(converse(composition(sk0_0,sk0_1)),composition(sk0_0,sk0_1))),
inference(forward_demodulation,[status(thm)],[f23,f2957]) ).
fof(f2959,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f2958,f44]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : REL031+2 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n001.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 10:33:00 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 8.15/1.47 % Refutation found
% 8.15/1.47 % SZS status Theorem for theBenchmark: Theorem is valid
% 8.15/1.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 8.15/1.53 % Elapsed time: 1.202639 seconds
% 8.15/1.53 % CPU time: 8.660884 seconds
% 8.15/1.53 % Memory used: 112.584 MB
%------------------------------------------------------------------------------