TSTP Solution File: REL031+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL031+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n019.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 13.26s 2.01s
% Output : CNFRefutation 13.87s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 9
% Syntax : Number of formulae : 44 ( 40 unt; 0 def)
% Number of atoms : 52 ( 51 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 : 56 (; 54 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X0,X1] : join(X0,X1) = join(X1,X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
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] :
( ( 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/sandbox/benchmark/theBenchmark.p') ).
fof(f15,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)],[f14]) ).
fof(f16,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f17,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f20,plain,
! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f21,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
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] :
( 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)],[f15]) ).
fof(f30,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)],[f29]) ).
fof(f31,plain,
join(composition(converse(sk0_0),sk0_0),one) = one,
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f32,plain,
join(composition(converse(sk0_1),sk0_1),one) = one,
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f33,plain,
join(composition(converse(composition(sk0_0,sk0_1)),composition(sk0_0,sk0_1)),one) != one,
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f36,plain,
join(one,composition(converse(sk0_0),sk0_0)) = one,
inference(forward_demodulation,[status(thm)],[f16,f31]) ).
fof(f37,plain,
join(one,composition(converse(sk0_1),sk0_1)) = one,
inference(forward_demodulation,[status(thm)],[f16,f32]) ).
fof(f38,plain,
join(one,composition(converse(composition(sk0_0,sk0_1)),composition(sk0_0,sk0_1))) != one,
inference(forward_demodulation,[status(thm)],[f16,f33]) ).
fof(f45,plain,
! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
inference(paramodulation,[status(thm)],[f21,f20]) ).
fof(f55,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f124,plain,
! [X0] : join(one,join(composition(converse(sk0_1),sk0_1),X0)) = join(one,X0),
inference(paramodulation,[status(thm)],[f37,f17]) ).
fof(f140,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f21,f55]) ).
fof(f141,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f23,f140]) ).
fof(f165,plain,
! [X0] : composition(one,X0) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f45,f141]) ).
fof(f166,plain,
! [X0] : composition(one,X0) = X0,
inference(forward_demodulation,[status(thm)],[f141,f165]) ).
fof(f236,plain,
! [X0,X1] : composition(join(one,X0),X1) = join(X1,composition(X0,X1)),
inference(paramodulation,[status(thm)],[f166,f22]) ).
fof(f583,plain,
! [X0] : join(one,composition(join(converse(sk0_1),X0),sk0_1)) = join(one,composition(X0,sk0_1)),
inference(paramodulation,[status(thm)],[f22,f124]) ).
fof(f648,plain,
! [X0] : join(one,composition(converse(join(sk0_1,X0)),sk0_1)) = join(one,composition(converse(X0),sk0_1)),
inference(paramodulation,[status(thm)],[f24,f583]) ).
fof(f58343,plain,
! [X0] : composition(one,X0) = join(X0,composition(composition(converse(sk0_0),sk0_0),X0)),
inference(paramodulation,[status(thm)],[f36,f236]) ).
fof(f58344,plain,
! [X0] : X0 = join(X0,composition(composition(converse(sk0_0),sk0_0),X0)),
inference(forward_demodulation,[status(thm)],[f166,f58343]) ).
fof(f58345,plain,
! [X0] : X0 = join(X0,composition(converse(sk0_0),composition(sk0_0,X0))),
inference(forward_demodulation,[status(thm)],[f20,f58344]) ).
fof(f68637,plain,
join(one,composition(converse(sk0_1),sk0_1)) = join(one,composition(converse(composition(converse(sk0_0),composition(sk0_0,sk0_1))),sk0_1)),
inference(paramodulation,[status(thm)],[f58345,f648]) ).
fof(f68638,plain,
one = join(one,composition(converse(composition(converse(sk0_0),composition(sk0_0,sk0_1))),sk0_1)),
inference(forward_demodulation,[status(thm)],[f37,f68637]) ).
fof(f68639,plain,
one = join(one,composition(composition(converse(composition(sk0_0,sk0_1)),sk0_0),sk0_1)),
inference(forward_demodulation,[status(thm)],[f55,f68638]) ).
fof(f68640,plain,
one = join(one,composition(converse(composition(sk0_0,sk0_1)),composition(sk0_0,sk0_1))),
inference(forward_demodulation,[status(thm)],[f20,f68639]) ).
fof(f68641,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f68640,f38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : REL031+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.08 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.27 % Computer : n019.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 300
% 0.07/0.27 % DateTime : Tue May 30 10:05:40 EDT 2023
% 0.07/0.27 % CPUTime :
% 0.11/0.27 % Drodi V3.5.1
% 13.26/2.01 % Refutation found
% 13.26/2.01 % SZS status Theorem for theBenchmark: Theorem is valid
% 13.26/2.01 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 14.01/2.09 % Elapsed time: 1.806366 seconds
% 14.01/2.09 % CPU time: 14.063071 seconds
% 14.01/2.09 % Memory used: 156.376 MB
%------------------------------------------------------------------------------