TSTP Solution File: REL001+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL001+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:32:12 EDT 2023
% Result : Theorem 0.14s 0.43s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 11
% Syntax : Number of formulae : 66 ( 66 unt; 0 def)
% Number of atoms : 66 ( 65 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 4 con; 0-2 aty)
% Number of variables : 79 (; 78 !; 1 ?)
% 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(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [X0] : composition(X0,one) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [X0] : converse(converse(X0)) = X0,
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(f11,axiom,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
! [X0] : join(zero,X0) = X0,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
~ ! [X0] : join(zero,X0) = X0,
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(f18,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f19,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f21,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f23,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f25,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f26,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f27,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f28,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f29,plain,
? [X0] : join(zero,X0) != X0,
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f30,plain,
join(zero,sk0_0) != sk0_0,
inference(skolemization,[status(esa)],[f29]) ).
fof(f31,plain,
join(zero,sk0_0) != sk0_0,
inference(cnf_transformation,[status(esa)],[f30]) ).
fof(f32,plain,
! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f16,f26]) ).
fof(f33,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(backward_demodulation,[status(thm)],[f19,f18]) ).
fof(f34,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f16,f33]) ).
fof(f39,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f27,f17]) ).
fof(f45,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f27,f19]) ).
fof(f46,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f28,f45]) ).
fof(f57,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f46,f19]) ).
fof(f82,plain,
! [X0] : top = join(join(complement(X0),zero),meet(X0,top)),
inference(paramodulation,[status(thm)],[f57,f27]) ).
fof(f201,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f27,f39]) ).
fof(f202,plain,
! [X0] : join(X0,top) = join(complement(complement(X0)),top),
inference(forward_demodulation,[status(thm)],[f16,f201]) ).
fof(f307,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f23,f25]) ).
fof(f316,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f21,f307]) ).
fof(f317,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f23,f316]) ).
fof(f340,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f21,f317]) ).
fof(f349,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f340,f317]) ).
fof(f536,plain,
! [X0] : join(complement(X0),composition(one,complement(composition(one,X0)))) = complement(X0),
inference(paramodulation,[status(thm)],[f340,f32]) ).
fof(f537,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f349,f536]) ).
fof(f538,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f349,f537]) ).
fof(f579,plain,
! [X0] : meet(X0,X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f538,f19]) ).
fof(f580,plain,
! [X0] : join(X0,complement(X0)) = join(top,complement(X0)),
inference(paramodulation,[status(thm)],[f538,f39]) ).
fof(f581,plain,
! [X0] : top = join(top,complement(X0)),
inference(forward_demodulation,[status(thm)],[f27,f580]) ).
fof(f582,plain,
! [X0] : top = join(complement(X0),top),
inference(forward_demodulation,[status(thm)],[f16,f581]) ).
fof(f590,plain,
! [X0] : join(X0,top) = top,
inference(backward_demodulation,[status(thm)],[f582,f202]) ).
fof(f660,plain,
! [X0] : X0 = join(complement(complement(X0)),meet(X0,complement(X0))),
inference(paramodulation,[status(thm)],[f538,f34]) ).
fof(f661,plain,
! [X0] : X0 = join(complement(complement(X0)),zero),
inference(forward_demodulation,[status(thm)],[f28,f660]) ).
fof(f663,plain,
! [X0] : X0 = join(complement(top),meet(X0,top)),
inference(paramodulation,[status(thm)],[f590,f34]) ).
fof(f664,plain,
! [X0] : X0 = join(zero,meet(X0,top)),
inference(forward_demodulation,[status(thm)],[f46,f663]) ).
fof(f665,plain,
! [X0] : X0 = join(meet(X0,top),zero),
inference(forward_demodulation,[status(thm)],[f16,f664]) ).
fof(f717,plain,
! [X0] : X0 = join(complement(join(complement(X0),X0)),complement(complement(X0))),
inference(paramodulation,[status(thm)],[f579,f34]) ).
fof(f758,plain,
! [X0] : meet(complement(X0),top) = complement(X0),
inference(paramodulation,[status(thm)],[f661,f57]) ).
fof(f842,plain,
! [X0] : complement(X0) = join(complement(X0),zero),
inference(paramodulation,[status(thm)],[f758,f665]) ).
fof(f851,plain,
! [X0] : X0 = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f842,f661]) ).
fof(f852,plain,
! [X0] : meet(X0,top) = complement(complement(X0)),
inference(backward_demodulation,[status(thm)],[f842,f57]) ).
fof(f853,plain,
! [X0] : meet(X0,top) = X0,
inference(forward_demodulation,[status(thm)],[f851,f852]) ).
fof(f867,plain,
! [X0] : top = join(complement(X0),meet(X0,top)),
inference(backward_demodulation,[status(thm)],[f842,f82]) ).
fof(f868,plain,
! [X0] : top = join(complement(X0),X0),
inference(forward_demodulation,[status(thm)],[f853,f867]) ).
fof(f874,plain,
! [X0] : X0 = join(complement(join(complement(X0),X0)),X0),
inference(backward_demodulation,[status(thm)],[f851,f717]) ).
fof(f875,plain,
! [X0] : X0 = join(complement(top),X0),
inference(forward_demodulation,[status(thm)],[f868,f874]) ).
fof(f876,plain,
! [X0] : X0 = join(zero,X0),
inference(forward_demodulation,[status(thm)],[f46,f875]) ).
fof(f894,plain,
sk0_0 != sk0_0,
inference(backward_demodulation,[status(thm)],[f876,f31]) ).
fof(f895,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f894]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.09 % Problem : REL001+1 : TPTP v8.1.2. Released v4.0.0.
% 0.02/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n012.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Tue May 30 10:00:25 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.14/0.43 % Refutation found
% 0.14/0.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.44 % Elapsed time: 0.139376 seconds
% 0.14/0.44 % CPU time: 0.600965 seconds
% 0.14/0.44 % Memory used: 9.645 MB
%------------------------------------------------------------------------------