TSTP Solution File: REL023-1 by Drodi---3.6.0

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Drodi---3.6.0
% Problem  : REL023-1 : TPTP v8.1.2. Released v4.0.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s

% Computer : n020.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 : Tue Apr 30 20:37:27 EDT 2024

% Result   : Unsatisfiable 0.17s 0.48s
% Output   : CNFRefutation 0.17s
% Verified : 
% SZS Type : Refutation
%            Derivation depth      :   23
%            Number of leaves      :   13
% Syntax   : Number of formulae    :   70 (  70 unt;   0 def)
%            Number of atoms       :   70 (  69 equ)
%            Maximal formula atoms :    1 (   1 avg)
%            Number of connectives :    5 (   5   ~;   0   |;   0   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :    4 (   3 avg)
%            Maximal term depth    :    5 (   2 avg)
%            Number of predicates  :    2 (   0 usr;   1 prp; 0-2 aty)
%            Number of functors    :   11 (  11 usr;   6 con; 0-2 aty)
%            Number of variables   :  105 ( 105   !;   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(f5,axiom,
    ! [A,B,C] : composition(A,composition(B,C)) = composition(composition(A,B),C),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f6,axiom,
    ! [A] : composition(A,one) = A,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f7,axiom,
    ! [A,B,C] : composition(join(A,B),C) = join(composition(A,C),composition(B,C)),
    file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).

fof(f8,axiom,
    ! [A] : converse(converse(A)) = A,
    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,
    join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))) != composition(sk1,meet(sk2,sk3)),
    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(f19,plain,
    ! [X0,X1,X2] : composition(X0,composition(X1,X2)) = composition(composition(X0,X1),X2),
    inference(cnf_transformation,[status(esa)],[f5]) ).

fof(f20,plain,
    ! [X0] : composition(X0,one) = X0,
    inference(cnf_transformation,[status(esa)],[f6]) ).

fof(f21,plain,
    ! [X0,X1,X2] : composition(join(X0,X1),X2) = join(composition(X0,X2),composition(X1,X2)),
    inference(cnf_transformation,[status(esa)],[f7]) ).

fof(f22,plain,
    ! [X0] : converse(converse(X0)) = X0,
    inference(cnf_transformation,[status(esa)],[f8]) ).

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,
    join(composition(meet(sk1,converse(sk2)),meet(sk2,sk3)),composition(sk1,meet(sk2,sk3))) != composition(sk1,meet(sk2,sk3)),
    inference(cnf_transformation,[status(esa)],[f14]) ).

fof(f36,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(join(X1,X0),X2),
    inference(paramodulation,[status(thm)],[f15,f16]) ).

fof(f37,plain,
    ! [X0,X1,X2] : join(X0,join(X1,X2)) = join(X1,join(X0,X2)),
    inference(forward_demodulation,[status(thm)],[f16,f36]) ).

fof(f45,plain,
    ! [X0,X1] : meet(X0,X1) = complement(join(complement(X1),complement(X0))),
    inference(paramodulation,[status(thm)],[f15,f18]) ).

fof(f46,plain,
    ! [X0,X1] : meet(X0,X1) = meet(X1,X0),
    inference(forward_demodulation,[status(thm)],[f18,f45]) ).

fof(f52,plain,
    ! [X0,X1] : converse(composition(converse(X0),X1)) = composition(converse(X1),X0),
    inference(paramodulation,[status(thm)],[f22,f24]) ).

fof(f100,plain,
    composition(join(meet(sk1,converse(sk2)),sk1),meet(sk2,sk3)) != composition(sk1,meet(sk2,sk3)),
    inference(backward_demodulation,[status(thm)],[f21,f28]) ).

fof(f101,plain,
    composition(join(sk1,meet(sk1,converse(sk2))),meet(sk2,sk3)) != composition(sk1,meet(sk2,sk3)),
    inference(forward_demodulation,[status(thm)],[f15,f100]) ).

fof(f119,plain,
    ! [X0,X1] : join(complement(X0),composition(converse(X1),complement(composition(X1,X0)))) = complement(X0),
    inference(forward_demodulation,[status(thm)],[f15,f25]) ).

fof(f136,plain,
    ! [X0,X1] : composition(X0,composition(one,X1)) = composition(X0,X1),
    inference(paramodulation,[status(thm)],[f20,f19]) ).

fof(f142,plain,
    ! [X0] : meet(X0,complement(X0)) = complement(top),
    inference(paramodulation,[status(thm)],[f26,f18]) ).

fof(f143,plain,
    zero = complement(top),
    inference(forward_demodulation,[status(thm)],[f27,f142]) ).

fof(f258,plain,
    ! [X0] : converse(converse(X0)) = composition(converse(one),X0),
    inference(paramodulation,[status(thm)],[f20,f52]) ).

fof(f259,plain,
    ! [X0] : X0 = composition(converse(one),X0),
    inference(forward_demodulation,[status(thm)],[f22,f258]) ).

fof(f286,plain,
    ! [X0] : composition(one,X0) = composition(converse(one),X0),
    inference(paramodulation,[status(thm)],[f136,f259]) ).

fof(f287,plain,
    ! [X0] : composition(one,X0) = X0,
    inference(forward_demodulation,[status(thm)],[f259,f286]) ).

fof(f288,plain,
    one = converse(one),
    inference(paramodulation,[status(thm)],[f20,f259]) ).

fof(f321,plain,
    ! [X0] : join(complement(X0),composition(converse(one),complement(X0))) = complement(X0),
    inference(paramodulation,[status(thm)],[f287,f119]) ).

fof(f322,plain,
    ! [X0] : join(complement(X0),composition(one,complement(X0))) = complement(X0),
    inference(forward_demodulation,[status(thm)],[f288,f321]) ).

fof(f323,plain,
    ! [X0] : join(complement(X0),complement(X0)) = complement(X0),
    inference(forward_demodulation,[status(thm)],[f287,f322]) ).

fof(f328,plain,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
    inference(forward_demodulation,[status(thm)],[f15,f17]) ).

fof(f329,plain,
    ! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
    inference(forward_demodulation,[status(thm)],[f18,f328]) ).

fof(f330,plain,
    ! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
    inference(forward_demodulation,[status(thm)],[f15,f329]) ).

fof(f338,plain,
    ! [X0,X1] : X0 = join(meet(X0,complement(X1)),meet(X0,X1)),
    inference(paramodulation,[status(thm)],[f18,f330]) ).

fof(f339,plain,
    ! [X0,X1] : X0 = join(meet(X0,X1),meet(X0,complement(X1))),
    inference(forward_demodulation,[status(thm)],[f15,f338]) ).

fof(f344,plain,
    ! [X0] : X0 = join(meet(X0,complement(complement(X0))),complement(top)),
    inference(paramodulation,[status(thm)],[f26,f330]) ).

fof(f345,plain,
    ! [X0] : X0 = join(complement(top),meet(X0,complement(complement(X0)))),
    inference(forward_demodulation,[status(thm)],[f15,f344]) ).

fof(f346,plain,
    ! [X0] : X0 = join(zero,meet(X0,complement(complement(X0)))),
    inference(forward_demodulation,[status(thm)],[f143,f345]) ).

fof(f515,plain,
    ! [X0,X1] : X0 = join(meet(X0,X1),meet(complement(X1),X0)),
    inference(paramodulation,[status(thm)],[f46,f339]) ).

fof(f685,plain,
    ! [X0] : complement(complement(X0)) = join(meet(complement(complement(X0)),X0),zero),
    inference(paramodulation,[status(thm)],[f27,f515]) ).

fof(f686,plain,
    ! [X0] : complement(complement(X0)) = join(zero,meet(complement(complement(X0)),X0)),
    inference(forward_demodulation,[status(thm)],[f15,f685]) ).

fof(f687,plain,
    ! [X0] : complement(complement(X0)) = join(zero,meet(X0,complement(complement(X0)))),
    inference(forward_demodulation,[status(thm)],[f46,f686]) ).

fof(f688,plain,
    ! [X0] : complement(complement(X0)) = X0,
    inference(forward_demodulation,[status(thm)],[f346,f687]) ).

fof(f716,plain,
    ! [X0] : join(complement(complement(X0)),X0) = complement(complement(X0)),
    inference(paramodulation,[status(thm)],[f688,f323]) ).

fof(f717,plain,
    ! [X0] : join(X0,complement(complement(X0))) = complement(complement(X0)),
    inference(forward_demodulation,[status(thm)],[f15,f716]) ).

fof(f718,plain,
    ! [X0] : join(X0,X0) = complement(complement(X0)),
    inference(forward_demodulation,[status(thm)],[f688,f717]) ).

fof(f719,plain,
    ! [X0] : join(X0,X0) = X0,
    inference(forward_demodulation,[status(thm)],[f688,f718]) ).

fof(f1022,plain,
    ! [X0,X1] : join(X0,join(join(X0,X1),X1)) = join(X0,X1),
    inference(paramodulation,[status(thm)],[f37,f719]) ).

fof(f1023,plain,
    ! [X0,X1] : join(X0,join(X0,join(X1,X1))) = join(X0,X1),
    inference(forward_demodulation,[status(thm)],[f16,f1022]) ).

fof(f1024,plain,
    ! [X0,X1] : join(X0,join(X0,X1)) = join(X0,X1),
    inference(forward_demodulation,[status(thm)],[f719,f1023]) ).

fof(f1672,plain,
    ! [X0,X1] : join(meet(X0,X1),X0) = join(meet(X0,X1),meet(complement(X1),X0)),
    inference(paramodulation,[status(thm)],[f515,f1024]) ).

fof(f1673,plain,
    ! [X0,X1] : join(X0,meet(X0,X1)) = join(meet(X0,X1),meet(complement(X1),X0)),
    inference(forward_demodulation,[status(thm)],[f15,f1672]) ).

fof(f1674,plain,
    ! [X0,X1] : join(X0,meet(X0,X1)) = X0,
    inference(forward_demodulation,[status(thm)],[f515,f1673]) ).

fof(f2061,plain,
    composition(sk1,meet(sk2,sk3)) != composition(sk1,meet(sk2,sk3)),
    inference(backward_demodulation,[status(thm)],[f1674,f101]) ).

fof(f2062,plain,
    $false,
    inference(trivial_equality_resolution,[status(esa)],[f2061]) ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.11  % Problem  : REL023-1 : TPTP v8.1.2. Released v4.0.0.
% 0.11/0.12  % Command  : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.32  % Computer : n020.cluster.edu
% 0.12/0.32  % Model    : x86_64 x86_64
% 0.12/0.32  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32  % Memory   : 8042.1875MB
% 0.12/0.32  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32  % CPULimit : 300
% 0.12/0.32  % WCLimit  : 300
% 0.12/0.32  % DateTime : Mon Apr 29 21:03:02 EDT 2024
% 0.16/0.32  % CPUTime  : 
% 0.16/0.33  % Drodi V3.6.0
% 0.17/0.48  % Refutation found
% 0.17/0.48  % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.48  % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.49  % Elapsed time: 0.161314 seconds
% 0.17/0.49  % CPU time: 1.176285 seconds
% 0.17/0.49  % Total memory used: 32.879 MB
% 0.17/0.49  % Net memory used: 32.352 MB
%------------------------------------------------------------------------------