TSTP Solution File: REL004-1 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : REL004-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n027.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 12:32:13 EDT 2023
% Result : Unsatisfiable 2.00s 0.64s
% Output : CNFRefutation 2.33s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 12
% Syntax : Number of formulae : 100 ( 100 unt; 0 def)
% Number of atoms : 100 ( 99 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 8 ( 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 : 135 (; 135 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [A] : composition(A,one) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [A] : converse(converse(A)) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [A,B] : converse(join(A,B)) = join(converse(A),converse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [A,B] : converse(composition(A,B)) = composition(converse(B),converse(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [A,B] : join(composition(converse(A),complement(composition(A,B))),complement(B)) = complement(B),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
converse(complement(sk1)) != complement(converse(sk1)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,plain,
! [X0,X1] : join(X0,X1) = join(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f16,plain,
! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X0,X1),X2),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f17,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),complement(X1))),complement(join(complement(X0),X1))),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f18,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X0),complement(X1))),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f20,plain,
! [X0] : composition(X0,one) = X0,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f22,plain,
! [X0] : converse(converse(X0)) = X0,
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f23,plain,
! [X0,X1] : converse(join(X0,X1)) = join(converse(X0),converse(X1)),
inference(cnf_transformation,[status(esa)],[f9]) ).
fof(f24,plain,
! [X0,X1] : converse(composition(X0,X1)) = composition(converse(X1),converse(X0)),
inference(cnf_transformation,[status(esa)],[f10]) ).
fof(f25,plain,
! [X0,X1] : join(composition(converse(X0),complement(composition(X0,X1))),complement(X1)) = complement(X1),
inference(cnf_transformation,[status(esa)],[f11]) ).
fof(f26,plain,
! [X0] : top = join(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f12]) ).
fof(f27,plain,
! [X0] : zero = meet(X0,complement(X0)),
inference(cnf_transformation,[status(esa)],[f13]) ).
fof(f28,plain,
converse(complement(sk1)) != complement(converse(sk1)),
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f29,plain,
! [X0,X1] : converse(join(converse(X0),X1)) = join(X0,converse(X1)),
inference(paramodulation,[status(thm)],[f22,f23]) ).
fof(f32,plain,
! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
inference(paramodulation,[status(thm)],[f22,f24]) ).
fof(f95,plain,
! [X0,X1] : join(composition(X0,complement(composition(converse(X0),X1))),complement(X1)) = complement(X1),
inference(paramodulation,[status(thm)],[f22,f25]) ).
fof(f208,plain,
! [X0] : converse(converse(X0)) = composition(converse(one),X0),
inference(paramodulation,[status(thm)],[f20,f32]) ).
fof(f209,plain,
! [X0] : X0 = composition(converse(one),X0),
inference(forward_demodulation,[status(thm)],[f22,f208]) ).
fof(f237,plain,
! [X0,X1] : X0 = join(complement(join(complement(X1),complement(X0))),complement(join(complement(X0),X1))),
inference(paramodulation,[status(thm)],[f15,f17]) ).
fof(f238,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X1),complement(X0)))),
inference(forward_demodulation,[status(thm)],[f15,f237]) ).
fof(f295,plain,
! [X0] : converse(top) = join(X0,converse(complement(converse(X0)))),
inference(paramodulation,[status(thm)],[f26,f29]) ).
fof(f297,plain,
one = converse(one),
inference(paramodulation,[status(thm)],[f20,f209]) ).
fof(f321,plain,
! [X0] : X0 = composition(one,X0),
inference(backward_demodulation,[status(thm)],[f297,f209]) ).
fof(f350,plain,
! [X0] : join(complement(composition(converse(one),X0)),complement(X0)) = complement(X0),
inference(paramodulation,[status(thm)],[f321,f95]) ).
fof(f351,plain,
! [X0] : join(complement(X0),complement(composition(converse(one),X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f15,f350]) ).
fof(f352,plain,
! [X0] : join(complement(X0),complement(composition(one,X0))) = complement(X0),
inference(forward_demodulation,[status(thm)],[f297,f351]) ).
fof(f353,plain,
! [X0] : join(complement(X0),complement(X0)) = complement(X0),
inference(forward_demodulation,[status(thm)],[f321,f352]) ).
fof(f375,plain,
! [X0] : X0 = join(complement(complement(X0)),complement(join(complement(X0),X0))),
inference(paramodulation,[status(thm)],[f353,f17]) ).
fof(f376,plain,
! [X0] : X0 = join(complement(complement(X0)),complement(join(X0,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f15,f375]) ).
fof(f377,plain,
! [X0] : X0 = join(complement(complement(X0)),complement(top)),
inference(forward_demodulation,[status(thm)],[f26,f376]) ).
fof(f378,plain,
! [X0] : X0 = join(complement(top),complement(complement(X0))),
inference(forward_demodulation,[status(thm)],[f15,f377]) ).
fof(f445,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(backward_demodulation,[status(thm)],[f18,f17]) ).
fof(f446,plain,
! [X0] : meet(top,complement(X0)) = complement(X0),
inference(paramodulation,[status(thm)],[f378,f18]) ).
fof(f450,plain,
! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
inference(paramodulation,[status(thm)],[f15,f18]) ).
fof(f451,plain,
! [X0,X1] : meet(X0,X1) = meet(X1,X0),
inference(forward_demodulation,[status(thm)],[f18,f450]) ).
fof(f510,plain,
zero = complement(top),
inference(paramodulation,[status(thm)],[f27,f446]) ).
fof(f514,plain,
! [X0] : X0 = join(zero,complement(complement(X0))),
inference(backward_demodulation,[status(thm)],[f510,f378]) ).
fof(f554,plain,
! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
inference(paramodulation,[status(thm)],[f26,f445]) ).
fof(f555,plain,
! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f15,f554]) ).
fof(f556,plain,
! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f510,f555]) ).
fof(f557,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f15,f445]) ).
fof(f651,plain,
! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f18,f557]) ).
fof(f652,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(X0,complement(X1))),
inference(forward_demodulation,[status(thm)],[f15,f651]) ).
fof(f764,plain,
! [X0,X1] : X0 = join(meet(X1,X0),meet(complement(X1),X0)),
inference(paramodulation,[status(thm)],[f451,f652]) ).
fof(f875,plain,
! [X0] : complement(complement(X0)) = join(meet(X0,complement(complement(X0))),zero),
inference(paramodulation,[status(thm)],[f27,f764]) ).
fof(f876,plain,
! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f15,f875]) ).
fof(f877,plain,
! [X0] : complement(complement(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f556,f876]) ).
fof(f891,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f877,f514]) ).
fof(f895,plain,
! [X0,X1] : complement(meet(X0,X1)) = join(complement(X0),complement(X1)),
inference(paramodulation,[status(thm)],[f18,f877]) ).
fof(f913,plain,
! [X0] : join(complement(complement(X0)),X0) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f877,f353]) ).
fof(f914,plain,
! [X0] : join(X0,complement(complement(X0))) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f15,f913]) ).
fof(f915,plain,
! [X0] : join(X0,X0) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f877,f914]) ).
fof(f916,plain,
! [X0] : join(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f877,f915]) ).
fof(f1005,plain,
! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f916,f16]) ).
fof(f1287,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f18,f238]) ).
fof(f1288,plain,
! [X0,X1] : X0 = join(meet(X1,X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f15,f1287]) ).
fof(f1417,plain,
! [X0] : join(X0,top) = join(X0,complement(X0)),
inference(paramodulation,[status(thm)],[f26,f1005]) ).
fof(f1418,plain,
! [X0] : join(X0,top) = top,
inference(forward_demodulation,[status(thm)],[f26,f1417]) ).
fof(f1419,plain,
! [X0,X1] : join(X0,join(X1,X0)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f15,f1005]) ).
fof(f1440,plain,
! [X0] : join(top,X0) = top,
inference(paramodulation,[status(thm)],[f15,f1418]) ).
fof(f1460,plain,
converse(top) = top,
inference(paramodulation,[status(thm)],[f295,f1440]) ).
fof(f1478,plain,
! [X0] : top = join(X0,converse(complement(converse(X0)))),
inference(backward_demodulation,[status(thm)],[f1460,f295]) ).
fof(f1609,plain,
! [X0,X1] : join(complement(join(complement(X0),X1)),X0) = join(complement(join(complement(X0),X1)),meet(X1,X0)),
inference(paramodulation,[status(thm)],[f1288,f1419]) ).
fof(f1610,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(complement(join(complement(X0),X1)),meet(X1,X0)),
inference(forward_demodulation,[status(thm)],[f15,f1609]) ).
fof(f1611,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = join(meet(X1,X0),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f15,f1610]) ).
fof(f1612,plain,
! [X0,X1] : join(X0,complement(join(complement(X0),X1))) = X0,
inference(forward_demodulation,[status(thm)],[f1288,f1611]) ).
fof(f1707,plain,
! [X0] : X0 = join(meet(converse(complement(converse(complement(X0)))),X0),complement(top)),
inference(paramodulation,[status(thm)],[f1478,f1288]) ).
fof(f1708,plain,
! [X0] : X0 = join(complement(top),meet(converse(complement(converse(complement(X0)))),X0)),
inference(forward_demodulation,[status(thm)],[f15,f1707]) ).
fof(f1709,plain,
! [X0] : X0 = join(zero,meet(converse(complement(converse(complement(X0)))),X0)),
inference(forward_demodulation,[status(thm)],[f510,f1708]) ).
fof(f1710,plain,
! [X0] : X0 = meet(converse(complement(converse(complement(X0)))),X0),
inference(forward_demodulation,[status(thm)],[f891,f1709]) ).
fof(f1711,plain,
! [X0] : X0 = meet(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f451,f1710]) ).
fof(f1891,plain,
! [X0,X1] : meet(X0,join(complement(complement(X0)),X1)) = complement(complement(X0)),
inference(paramodulation,[status(thm)],[f1612,f18]) ).
fof(f1892,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = complement(complement(X0)),
inference(forward_demodulation,[status(thm)],[f877,f1891]) ).
fof(f1893,plain,
! [X0,X1] : meet(X0,join(X0,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f877,f1892]) ).
fof(f1948,plain,
! [X0,X1] : meet(X0,join(X1,X0)) = X0,
inference(paramodulation,[status(thm)],[f15,f1893]) ).
fof(f2754,plain,
! [X0,X1] : complement(meet(complement(X0),X1)) = join(X0,complement(X1)),
inference(paramodulation,[status(thm)],[f877,f895]) ).
fof(f8003,plain,
! [X0] : complement(complement(X0)) = join(X0,complement(converse(complement(converse(complement(complement(X0))))))),
inference(paramodulation,[status(thm)],[f1711,f2754]) ).
fof(f8004,plain,
! [X0] : X0 = join(X0,complement(converse(complement(converse(complement(complement(X0))))))),
inference(forward_demodulation,[status(thm)],[f877,f8003]) ).
fof(f8005,plain,
! [X0] : X0 = join(X0,complement(converse(complement(converse(X0))))),
inference(forward_demodulation,[status(thm)],[f877,f8004]) ).
fof(f8204,plain,
! [X0] : converse(converse(X0)) = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(paramodulation,[status(thm)],[f8005,f29]) ).
fof(f8205,plain,
! [X0] : X0 = join(X0,converse(complement(converse(complement(converse(converse(X0))))))),
inference(forward_demodulation,[status(thm)],[f22,f8204]) ).
fof(f8206,plain,
! [X0] : X0 = join(X0,converse(complement(converse(complement(X0))))),
inference(forward_demodulation,[status(thm)],[f22,f8205]) ).
fof(f8346,plain,
! [X0] : meet(converse(complement(converse(complement(X0)))),X0) = converse(complement(converse(complement(X0)))),
inference(paramodulation,[status(thm)],[f8206,f1948]) ).
fof(f8347,plain,
! [X0] : meet(X0,converse(complement(converse(complement(X0))))) = converse(complement(converse(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f451,f8346]) ).
fof(f8348,plain,
! [X0] : X0 = converse(complement(converse(complement(X0)))),
inference(forward_demodulation,[status(thm)],[f1711,f8347]) ).
fof(f8668,plain,
! [X0] : complement(X0) = converse(complement(converse(X0))),
inference(paramodulation,[status(thm)],[f877,f8348]) ).
fof(f8748,plain,
! [X0] : complement(converse(X0)) = converse(complement(X0)),
inference(paramodulation,[status(thm)],[f22,f8668]) ).
fof(f8790,plain,
complement(converse(sk1)) != complement(converse(sk1)),
inference(backward_demodulation,[status(thm)],[f8748,f28]) ).
fof(f8791,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f8790]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : REL004-1 : TPTP v8.1.2. Released v4.0.0.
% 0.06/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n027.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue May 30 10:23:03 EDT 2023
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.5.1
% 2.00/0.64 % Refutation found
% 2.00/0.64 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.00/0.64 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.33/0.67 % Elapsed time: 0.319290 seconds
% 2.33/0.67 % CPU time: 2.393360 seconds
% 2.33/0.67 % Memory used: 32.918 MB
%------------------------------------------------------------------------------