TSTP Solution File: REL001-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n018.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 20:37:17 EDT 2024
% Result : Unsatisfiable 0.17s 0.41s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 27
% Number of leaves : 7
% Syntax : Number of formulae : 56 ( 56 unt; 0 def)
% Number of atoms : 56 ( 55 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 : 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 : 61 ( 61 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(A,B) = join(B,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B,C] : join(A,join(B,C)) = join(join(A,B),C),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : A = join(complement(join(complement(A),complement(B))),complement(join(complement(A),B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : meet(A,B) = complement(join(complement(A),complement(B))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [A] : top = join(A,complement(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [A] : zero = meet(A,complement(A)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f14,negated_conjecture,
join(zero,sk1) != sk1,
file('/export/starexec/sandbox2/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(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(zero,sk1) != sk1,
inference(cnf_transformation,[status(esa)],[f14]) ).
fof(f29,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),complement(join(complement(X0),complement(X1)))),
inference(forward_demodulation,[status(thm)],[f15,f17]) ).
fof(f31,plain,
! [X0,X1] : X0 = join(complement(join(complement(X0),X1)),meet(X0,X1)),
inference(backward_demodulation,[status(thm)],[f18,f29]) ).
fof(f32,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(complement(X0),X1))),
inference(forward_demodulation,[status(thm)],[f15,f31]) ).
fof(f44,plain,
! [X0] : X0 = join(zero,complement(join(complement(X0),complement(X0)))),
inference(paramodulation,[status(thm)],[f27,f32]) ).
fof(f45,plain,
! [X0] : X0 = join(zero,meet(X0,X0)),
inference(forward_demodulation,[status(thm)],[f18,f44]) ).
fof(f46,plain,
! [X0,X1] : X0 = join(meet(X0,X1),complement(join(X1,complement(X0)))),
inference(paramodulation,[status(thm)],[f15,f32]) ).
fof(f52,plain,
! [X0,X1] : join(zero,join(meet(X0,X0),X1)) = join(X0,X1),
inference(paramodulation,[status(thm)],[f45,f16]) ).
fof(f53,plain,
! [X0] : join(zero,X0) = join(X0,complement(join(complement(X0),X0))),
inference(paramodulation,[status(thm)],[f32,f52]) ).
fof(f54,plain,
! [X0] : join(zero,X0) = join(X0,complement(join(X0,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f15,f53]) ).
fof(f55,plain,
! [X0] : join(zero,X0) = join(X0,complement(top)),
inference(forward_demodulation,[status(thm)],[f26,f54]) ).
fof(f56,plain,
! [X0,X1] : join(zero,join(X0,meet(X1,X1))) = join(X1,X0),
inference(paramodulation,[status(thm)],[f15,f52]) ).
fof(f63,plain,
! [X0] : join(zero,X0) = join(complement(top),X0),
inference(paramodulation,[status(thm)],[f15,f55]) ).
fof(f85,plain,
! [X0,X1] : join(X0,meet(X1,X1)) = join(X1,meet(X0,X0)),
inference(paramodulation,[status(thm)],[f52,f56]) ).
fof(f111,plain,
! [X0] : X0 = join(X0,meet(zero,zero)),
inference(paramodulation,[status(thm)],[f45,f85]) ).
fof(f149,plain,
complement(top) = join(zero,meet(zero,zero)),
inference(paramodulation,[status(thm)],[f63,f111]) ).
fof(f150,plain,
complement(top) = zero,
inference(forward_demodulation,[status(thm)],[f45,f149]) ).
fof(f154,plain,
! [X0] : X0 = join(meet(zero,zero),X0),
inference(paramodulation,[status(thm)],[f15,f111]) ).
fof(f388,plain,
top = join(top,zero),
inference(paramodulation,[status(thm)],[f150,f26]) ).
fof(f392,plain,
! [X0] : join(zero,top) = join(X0,complement(meet(X0,X0))),
inference(paramodulation,[status(thm)],[f26,f52]) ).
fof(f393,plain,
! [X0] : join(top,zero) = join(X0,complement(meet(X0,X0))),
inference(forward_demodulation,[status(thm)],[f15,f392]) ).
fof(f394,plain,
! [X0] : top = join(X0,complement(meet(X0,X0))),
inference(forward_demodulation,[status(thm)],[f388,f393]) ).
fof(f436,plain,
complement(meet(meet(zero,zero),meet(zero,zero))) = top,
inference(paramodulation,[status(thm)],[f394,f154]) ).
fof(f437,plain,
complement(meet(zero,zero)) = top,
inference(paramodulation,[status(thm)],[f26,f154]) ).
fof(f443,plain,
! [X0] : meet(X0,X0) = join(X0,meet(meet(zero,zero),meet(zero,zero))),
inference(paramodulation,[status(thm)],[f85,f154]) ).
fof(f477,plain,
! [X0] : meet(zero,zero) = join(meet(meet(zero,zero),X0),complement(join(X0,top))),
inference(paramodulation,[status(thm)],[f437,f46]) ).
fof(f478,plain,
! [X0] : meet(zero,zero) = join(complement(join(X0,top)),meet(meet(zero,zero),X0)),
inference(forward_demodulation,[status(thm)],[f15,f477]) ).
fof(f555,plain,
! [X0] : meet(meet(zero,zero),X0) = complement(join(top,complement(X0))),
inference(paramodulation,[status(thm)],[f437,f18]) ).
fof(f584,plain,
! [X0] : meet(X0,X0) = join(X0,complement(join(top,complement(meet(zero,zero))))),
inference(backward_demodulation,[status(thm)],[f555,f443]) ).
fof(f585,plain,
! [X0] : meet(X0,X0) = join(X0,complement(join(top,top))),
inference(forward_demodulation,[status(thm)],[f437,f584]) ).
fof(f586,plain,
complement(complement(join(top,complement(meet(zero,zero))))) = top,
inference(backward_demodulation,[status(thm)],[f555,f436]) ).
fof(f587,plain,
complement(complement(join(top,top))) = top,
inference(forward_demodulation,[status(thm)],[f437,f586]) ).
fof(f589,plain,
! [X0] : meet(zero,zero) = join(complement(join(X0,top)),complement(join(top,complement(X0)))),
inference(backward_demodulation,[status(thm)],[f555,f478]) ).
fof(f747,plain,
! [X0] : meet(complement(join(top,top)),X0) = complement(join(top,complement(X0))),
inference(paramodulation,[status(thm)],[f587,f18]) ).
fof(f755,plain,
! [X0] : complement(join(top,top)) = join(meet(complement(join(top,top)),X0),complement(join(X0,top))),
inference(paramodulation,[status(thm)],[f587,f46]) ).
fof(f756,plain,
! [X0] : complement(join(top,top)) = join(complement(join(X0,top)),meet(complement(join(top,top)),X0)),
inference(forward_demodulation,[status(thm)],[f15,f755]) ).
fof(f757,plain,
! [X0] : complement(join(top,top)) = join(complement(join(X0,top)),complement(join(top,complement(X0)))),
inference(forward_demodulation,[status(thm)],[f747,f756]) ).
fof(f758,plain,
complement(join(top,top)) = meet(zero,zero),
inference(forward_demodulation,[status(thm)],[f589,f757]) ).
fof(f781,plain,
! [X0] : meet(X0,X0) = join(X0,meet(zero,zero)),
inference(backward_demodulation,[status(thm)],[f758,f585]) ).
fof(f782,plain,
! [X0] : meet(X0,X0) = X0,
inference(forward_demodulation,[status(thm)],[f111,f781]) ).
fof(f784,plain,
! [X0] : X0 = join(zero,X0),
inference(backward_demodulation,[status(thm)],[f782,f154]) ).
fof(f847,plain,
sk1 != sk1,
inference(backward_demodulation,[status(thm)],[f784,f28]) ).
fof(f848,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f847]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : REL001-1 : TPTP v8.1.2. Released v4.0.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n018.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Mon Apr 29 21:16:58 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 0.17/0.41 % Refutation found
% 0.17/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.42 % Elapsed time: 0.091913 seconds
% 0.17/0.42 % CPU time: 0.645792 seconds
% 0.17/0.42 % Total memory used: 20.847 MB
% 0.17/0.42 % Net memory used: 20.342 MB
%------------------------------------------------------------------------------