TSTP Solution File: LAT090-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT090-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n016.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 12:16:53 EDT 2023
% Result : Unsatisfiable 0.16s 0.32s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 10
% Number of leaves : 5
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 3 ( 3 usr; 1 con; 0-2 aty)
% Number of variables : 37 (; 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : join(meet(A,B),meet(A,join(A,B))) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : join(meet(A,B),meet(B,join(A,B))) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B,C] : meet(meet(join(A,B),join(C,A)),A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : join(join(meet(A,B),meet(C,A)),A) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
join(a,a) != a,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1] : join(meet(X0,X1),meet(X0,join(X0,X1))) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f9,plain,
! [X0,X1] : join(meet(X0,X1),meet(X1,join(X0,X1))) = X1,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1,X2] : meet(meet(join(X0,X1),join(X2,X0)),X0) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] : join(join(meet(X0,X1),meet(X2,X0)),X0) = X0,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
join(a,a) != a,
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f13,plain,
! [X0,X1] : join(meet(meet(X0,X1),meet(X0,join(X0,X1))),meet(meet(X0,X1),X0)) = meet(X0,X1),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f15,plain,
! [X0,X1] : join(meet(meet(X0,X1),meet(X1,join(X0,X1))),meet(meet(X1,join(X0,X1)),X1)) = meet(X1,join(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f25,plain,
! [X0,X1] : meet(meet(join(X0,X1),X0),X0) = X0,
inference(paramodulation,[status(thm)],[f11,f10]) ).
fof(f64,plain,
! [X0,X1] : join(X0,meet(X0,join(meet(join(X0,X1),X0),X0))) = X0,
inference(paramodulation,[status(thm)],[f25,f9]) ).
fof(f74,plain,
! [X0] : meet(meet(X0,X0),X0) = X0,
inference(paramodulation,[status(thm)],[f64,f25]) ).
fof(f76,plain,
! [X0,X1] : meet(meet(X0,join(X1,X0)),X0) = X0,
inference(paramodulation,[status(thm)],[f64,f10]) ).
fof(f83,plain,
! [X0,X1] : join(meet(meet(X0,X1),meet(X1,join(X0,X1))),X1) = meet(X1,join(X0,X1)),
inference(backward_demodulation,[status(thm)],[f76,f15]) ).
fof(f120,plain,
! [X0] : join(meet(meet(X0,X0),meet(X0,join(X0,X0))),X0) = meet(X0,X0),
inference(paramodulation,[status(thm)],[f74,f13]) ).
fof(f121,plain,
! [X0] : meet(X0,join(X0,X0)) = meet(X0,X0),
inference(forward_demodulation,[status(thm)],[f83,f120]) ).
fof(f139,plain,
! [X0] : join(meet(X0,X0),meet(X0,X0)) = X0,
inference(paramodulation,[status(thm)],[f121,f9]) ).
fof(f158,plain,
! [X0] : join(X0,X0) = X0,
inference(paramodulation,[status(thm)],[f139,f11]) ).
fof(f181,plain,
a != a,
inference(backward_demodulation,[status(thm)],[f158,f12]) ).
fof(f182,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f181]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : LAT090-1 : TPTP v8.1.2. Released v2.6.0.
% 0.05/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.09/0.30 % Computer : n016.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 09:56:13 EDT 2023
% 0.09/0.30 % CPUTime :
% 0.09/0.31 % Drodi V3.5.1
% 0.16/0.32 % Refutation found
% 0.16/0.32 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.32 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.54 % Elapsed time: 0.016749 seconds
% 0.16/0.54 % CPU time: 0.026447 seconds
% 0.16/0.54 % Memory used: 689.769 KB
%------------------------------------------------------------------------------