TSTP Solution File: ALG006-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG006-1 : TPTP v8.1.2. Released v2.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 20:08:55 EDT 2024
% Result : Unsatisfiable 0.21s 0.47s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 23
% Number of leaves : 4
% Syntax : Number of formulae : 48 ( 48 unt; 0 def)
% Number of atoms : 48 ( 47 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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 : 4 ( 4 usr; 3 con; 0-2 aty)
% Number of variables : 112 ( 112 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : difference(X,difference(Y,X)) = X,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : difference(X,difference(X,Y)) = difference(Y,difference(Y,X)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : difference(difference(X,Y),Z) = difference(difference(X,Z),difference(Y,Z)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
difference(difference(a,c),b) != difference(difference(a,b),c),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,plain,
! [X0,X1] : difference(X0,difference(X1,X0)) = X0,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f6,plain,
! [X0,X1] : difference(X0,difference(X0,X1)) = difference(X1,difference(X1,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f7,plain,
! [X0,X1,X2] : difference(difference(X0,X1),X2) = difference(difference(X0,X2),difference(X1,X2)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
difference(difference(a,c),b) != difference(difference(a,b),c),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f9,plain,
! [X0,X1] : difference(difference(X0,X1),X1) = difference(X0,X1),
inference(paramodulation,[status(thm)],[f5,f5]) ).
fof(f11,plain,
! [X0,X1] : difference(difference(X0,X1),difference(X0,X1)) = difference(X1,difference(X1,difference(X0,X1))),
inference(paramodulation,[status(thm)],[f9,f6]) ).
fof(f12,plain,
! [X0,X1] : difference(difference(X0,X0),X1) = difference(X1,difference(X1,difference(X0,X1))),
inference(forward_demodulation,[status(thm)],[f7,f11]) ).
fof(f13,plain,
! [X0,X1] : difference(difference(X0,X0),X1) = difference(X1,X1),
inference(forward_demodulation,[status(thm)],[f5,f12]) ).
fof(f23,plain,
! [X0,X1] : difference(X0,difference(X0,difference(X1,X1))) = difference(difference(X1,X1),difference(X0,X0)),
inference(paramodulation,[status(thm)],[f13,f6]) ).
fof(f31,plain,
! [X0,X1] : difference(difference(X0,X1),X0) = difference(difference(X1,X0),difference(X1,X0)),
inference(paramodulation,[status(thm)],[f13,f7]) ).
fof(f32,plain,
! [X0,X1] : difference(difference(X0,X1),X0) = difference(difference(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f7,f31]) ).
fof(f41,plain,
! [X0,X1,X2] : difference(difference(difference(X0,X1),X2),X1) = difference(difference(X0,X1),difference(X2,X1)),
inference(paramodulation,[status(thm)],[f9,f7]) ).
fof(f42,plain,
! [X0,X1,X2] : difference(difference(difference(X0,X1),X2),X1) = difference(difference(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f7,f41]) ).
fof(f49,plain,
! [X0,X1,X2] : difference(difference(X0,difference(X1,X1)),X2) = difference(difference(X0,X2),difference(X2,X2)),
inference(paramodulation,[status(thm)],[f13,f7]) ).
fof(f50,plain,
! [X0,X1,X2] : difference(difference(X0,difference(X1,X1)),X2) = difference(difference(X0,X2),X2),
inference(forward_demodulation,[status(thm)],[f7,f49]) ).
fof(f51,plain,
! [X0,X1,X2] : difference(difference(X0,difference(X1,X1)),X2) = difference(X0,X2),
inference(forward_demodulation,[status(thm)],[f9,f50]) ).
fof(f87,plain,
! [X0,X1,X2] : difference(difference(X0,X1),difference(X2,X2)) = difference(X0,difference(X1,difference(X2,X2))),
inference(paramodulation,[status(thm)],[f7,f51]) ).
fof(f126,plain,
! [X0,X1] : difference(X0,difference(X0,difference(X1,X1))) = difference(X1,difference(X1,difference(X0,X0))),
inference(backward_demodulation,[status(thm)],[f87,f23]) ).
fof(f148,plain,
! [X0,X1] : difference(difference(X0,X1),X0) = difference(X0,X0),
inference(paramodulation,[status(thm)],[f13,f32]) ).
fof(f210,plain,
! [X0,X1] : difference(difference(X0,X0),difference(X1,X1)) = difference(difference(X1,X1),difference(X1,X1)),
inference(paramodulation,[status(thm)],[f13,f148]) ).
fof(f211,plain,
! [X0,X1] : difference(X0,difference(X0,difference(X1,X1))) = difference(difference(X1,X1),difference(X1,X1)),
inference(forward_demodulation,[status(thm)],[f87,f210]) ).
fof(f212,plain,
! [X0,X1] : difference(X0,difference(X0,difference(X1,X1))) = difference(difference(X1,X1),X1),
inference(forward_demodulation,[status(thm)],[f7,f211]) ).
fof(f213,plain,
! [X0,X1] : difference(X0,difference(X0,difference(X1,X1))) = difference(X1,X1),
inference(forward_demodulation,[status(thm)],[f148,f212]) ).
fof(f222,plain,
! [X0,X1,X2] : difference(difference(difference(X0,X0),difference(X0,X0)),X1) = difference(difference(difference(X0,X0),X2),X1),
inference(paramodulation,[status(thm)],[f148,f51]) ).
fof(f223,plain,
! [X0,X1,X2] : difference(difference(X0,X0),X1) = difference(difference(difference(X0,X0),X2),X1),
inference(forward_demodulation,[status(thm)],[f51,f222]) ).
fof(f230,plain,
! [X0,X1] : difference(X0,difference(X0,difference(X0,X1))) = difference(difference(X0,X1),difference(X0,X0)),
inference(paramodulation,[status(thm)],[f148,f6]) ).
fof(f231,plain,
! [X0,X1] : difference(X0,difference(X0,difference(X0,X1))) = difference(X0,difference(X1,difference(X0,X0))),
inference(forward_demodulation,[status(thm)],[f87,f230]) ).
fof(f241,plain,
! [X0,X1] : difference(X0,difference(X0,difference(X1,X1))) = difference(X0,X0),
inference(backward_demodulation,[status(thm)],[f213,f126]) ).
fof(f242,plain,
! [X0,X1] : difference(X0,X0) = difference(X1,X1),
inference(forward_demodulation,[status(thm)],[f213,f241]) ).
fof(f267,plain,
! [X0,X1,X2] : difference(difference(X0,X1),X1) = difference(difference(X0,X1),difference(X2,X2)),
inference(paramodulation,[status(thm)],[f242,f7]) ).
fof(f268,plain,
! [X0,X1,X2] : difference(X0,X1) = difference(difference(X0,X1),difference(X2,X2)),
inference(forward_demodulation,[status(thm)],[f9,f267]) ).
fof(f269,plain,
! [X0,X1,X2] : difference(X0,X1) = difference(X0,difference(X1,difference(X2,X2))),
inference(forward_demodulation,[status(thm)],[f87,f268]) ).
fof(f275,plain,
! [X0,X1] : difference(X0,difference(X1,X1)) = X0,
inference(paramodulation,[status(thm)],[f242,f5]) ).
fof(f291,plain,
! [X0,X1] : difference(X0,difference(X0,difference(X0,X1))) = difference(X0,X1),
inference(backward_demodulation,[status(thm)],[f269,f231]) ).
fof(f305,plain,
! [X0,X1,X2] : difference(X0,difference(difference(X1,X1),X2)) = X0,
inference(paramodulation,[status(thm)],[f7,f275]) ).
fof(f1675,plain,
! [X0,X1,X2] : difference(difference(difference(X0,X1),X2),difference(difference(difference(X0,X1),X2),difference(difference(X0,X2),X1))) = difference(difference(difference(X0,X1),X2),X1),
inference(paramodulation,[status(thm)],[f42,f291]) ).
fof(f1676,plain,
! [X0,X1,X2] : difference(difference(difference(X0,X1),X2),difference(difference(difference(X0,X1),X2),difference(difference(X0,X2),X1))) = difference(difference(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f42,f1675]) ).
fof(f1677,plain,
! [X0,X1,X2] : difference(difference(difference(X0,X1),X2),difference(difference(X0,X2),X1)) = difference(difference(difference(X0,X2),X1),difference(difference(X0,X2),X1)),
inference(paramodulation,[status(thm)],[f42,f148]) ).
fof(f1678,plain,
! [X0,X1,X2] : difference(difference(difference(X0,X1),X2),difference(difference(X0,X2),X1)) = difference(difference(difference(X0,X2),difference(X0,X2)),X1),
inference(forward_demodulation,[status(thm)],[f7,f1677]) ).
fof(f1679,plain,
! [X0,X1,X2] : difference(difference(difference(X0,X1),X2),difference(difference(X0,X2),X1)) = difference(difference(difference(X0,X0),X2),X1),
inference(forward_demodulation,[status(thm)],[f7,f1678]) ).
fof(f1680,plain,
! [X0,X1,X2] : difference(difference(difference(X0,X1),X2),difference(difference(X0,X2),X1)) = difference(difference(X0,X0),X1),
inference(forward_demodulation,[status(thm)],[f223,f1679]) ).
fof(f1695,plain,
! [X0,X1,X2] : difference(difference(difference(X0,X1),X2),difference(difference(X0,X0),X1)) = difference(difference(X0,X2),X1),
inference(backward_demodulation,[status(thm)],[f1680,f1676]) ).
fof(f1696,plain,
! [X0,X1,X2] : difference(difference(X0,X1),X2) = difference(difference(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f305,f1695]) ).
fof(f1697,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f8,f1696]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : ALG006-1 : TPTP v8.1.2. Released v2.2.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n023.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Apr 29 23:51:40 EDT 2024
% 0.14/0.34 % CPUTime :
% 0.14/0.35 % Drodi V3.6.0
% 0.21/0.47 % Refutation found
% 0.21/0.47 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.47 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.48 % Elapsed time: 0.133521 seconds
% 0.21/0.48 % CPU time: 1.003960 seconds
% 0.21/0.48 % Total memory used: 26.476 MB
% 0.21/0.48 % Net memory used: 25.697 MB
%------------------------------------------------------------------------------