TSTP Solution File: REL015+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL015+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n009.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 12:32:19 EDT 2023
% Result : Theorem 1.44s 0.74s
% Output : CNFRefutation 1.44s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 12
% Syntax : Number of formulae : 67 ( 67 unt; 0 def)
% Number of atoms : 67 ( 66 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 3 con; 0-2 aty)
% Number of variables : 93 (; 93 !; 0 ?)
% 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(f3,axiom,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
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(f12,axiom,
! [X0] : top = join(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [X0] : zero = meet(X0,complement(X0)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,conjecture,
composition(top,top) = top,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,negated_conjecture,
composition(top,top) != top,
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(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(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,
composition(top,top) != top,
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f30,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f16,f18]) ).
fof(f32,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f19,f30]) ).
fof(f33,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f16,f32]) ).
fof(f362,plain,
! [X0] : meet(X0,complement(X0)) = complement(top),
inference(paramodulation,[status(thm)],[f27,f19]) ).
fof(f363,plain,
zero = complement(top),
inference(forward_demodulation,[status(thm)],[f28,f362]) ).
fof(f364,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f16,f19]) ).
fof(f365,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f19,f364]) ).
fof(f368,plain,
! [X0,X1,X2] : meet(join(complement(X0),complement(X1)),X2) = complement(join(meet(X0,X1),complement(X2))),
inference(paramodulation,[status(thm)],[f19,f19]) ).
fof(f375,plain,
! [X0] : meet(X0,top) = complement(join(complement(X0),zero)),
inference(paramodulation,[status(thm)],[f363,f19]) ).
fof(f376,plain,
! [X0] : meet(X0,top) = complement(join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f16,f375]) ).
fof(f380,plain,
top = join(top,zero),
inference(paramodulation,[status(thm)],[f363,f27]) ).
fof(f385,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f23,f24]) ).
fof(f486,plain,
! [X0] : zero = meet(join(zero,complement(X0)),meet(X0,top)),
inference(paramodulation,[status(thm)],[f376,f28]) ).
fof(f487,plain,
! [X0] : zero = meet(meet(X0,top),join(zero,complement(X0))),
inference(forward_demodulation,[status(thm)],[f365,f486]) ).
fof(f496,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f27,f385]) ).
fof(f567,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X2,join(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f17]) ).
fof(f573,plain,
! [X0] : join(top,join(zero,X0)) = join(top,X0),
inference(paramodulation,[status(thm)],[f380,f17]) ).
fof(f589,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,X1),
inference(paramodulation,[status(thm)],[f27,f17]) ).
fof(f711,plain,
! [X0] : join(X0,converse(top)) = join(top,converse(complement(converse(complement(X0))))),
inference(paramodulation,[status(thm)],[f496,f589]) ).
fof(f712,plain,
! [X0] : join(X0,top) = join(top,complement(complement(X0))),
inference(paramodulation,[status(thm)],[f27,f589]) ).
fof(f713,plain,
! [X0,X1] : join(X0,join(X1,complement(X0))) = join(top,X1),
inference(paramodulation,[status(thm)],[f16,f589]) ).
fof(f925,plain,
! [X0] : zero = meet(meet(top,X0),join(zero,complement(X0))),
inference(paramodulation,[status(thm)],[f365,f487]) ).
fof(f2152,plain,
! [X0,X1] : join(join(complement(X0),X1),X0) = join(top,meet(X0,X1)),
inference(paramodulation,[status(thm)],[f33,f713]) ).
fof(f2153,plain,
! [X0,X1] : join(complement(X0),join(X1,X0)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f17,f2152]) ).
fof(f2154,plain,
! [X0,X1] : join(X0,join(complement(X0),X1)) = join(top,meet(X0,X1)),
inference(forward_demodulation,[status(thm)],[f567,f2153]) ).
fof(f2155,plain,
! [X0,X1] : join(top,X0) = join(top,meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f589,f2154]) ).
fof(f2301,plain,
! [X0,X1,X2] : join(top,X0) = join(top,complement(join(meet(X1,X2),complement(X0)))),
inference(paramodulation,[status(thm)],[f368,f2155]) ).
fof(f2305,plain,
! [X0] : join(top,join(zero,complement(X0))) = join(top,zero),
inference(paramodulation,[status(thm)],[f925,f2155]) ).
fof(f2306,plain,
! [X0] : join(top,complement(X0)) = join(top,zero),
inference(forward_demodulation,[status(thm)],[f573,f2305]) ).
fof(f2307,plain,
! [X0] : join(top,complement(X0)) = top,
inference(forward_demodulation,[status(thm)],[f380,f2306]) ).
fof(f2332,plain,
! [X0] : join(X0,top) = top,
inference(backward_demodulation,[status(thm)],[f2307,f712]) ).
fof(f2333,plain,
! [X0] : join(top,X0) = top,
inference(backward_demodulation,[status(thm)],[f2307,f2301]) ).
fof(f2349,plain,
! [X0] : join(X0,converse(top)) = top,
inference(backward_demodulation,[status(thm)],[f2333,f711]) ).
fof(f2397,plain,
! [X0] : converse(top) = join(X0,converse(top)),
inference(paramodulation,[status(thm)],[f2332,f385]) ).
fof(f2398,plain,
converse(top) = top,
inference(forward_demodulation,[status(thm)],[f2349,f2397]) ).
fof(f2439,plain,
! [X0] : converse(composition(top,X0)) = composition(converse(X0),top),
inference(paramodulation,[status(thm)],[f2398,f25]) ).
fof(f3318,plain,
converse(top) = composition(converse(one),top),
inference(paramodulation,[status(thm)],[f21,f2439]) ).
fof(f3319,plain,
top = composition(converse(one),top),
inference(forward_demodulation,[status(thm)],[f2398,f3318]) ).
fof(f3445,plain,
! [X0] : composition(join(X0,converse(one)),top) = join(composition(X0,top),top),
inference(paramodulation,[status(thm)],[f3319,f22]) ).
fof(f3446,plain,
! [X0] : composition(join(X0,converse(one)),top) = top,
inference(forward_demodulation,[status(thm)],[f2332,f3445]) ).
fof(f3464,plain,
composition(top,top) = top,
inference(paramodulation,[status(thm)],[f2333,f3446]) ).
fof(f3465,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f3464,f29]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : REL015+1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n009.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 09:58:31 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 1.44/0.74 % Refutation found
% 1.44/0.74 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.44/0.74 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.44/0.77 % Elapsed time: 0.421397 seconds
% 1.44/0.77 % CPU time: 1.553963 seconds
% 1.44/0.77 % Memory used: 23.232 MB
%------------------------------------------------------------------------------