TSTP Solution File: ALG007-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG007-1 : TPTP v8.1.2. Released v2.2.0.
% 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 20:08:55 EDT 2024
% Result : Unsatisfiable 3.30s 0.82s
% Output : CNFRefutation 3.30s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 4
% Syntax : Number of formulae : 38 ( 38 unt; 0 def)
% Number of atoms : 38 ( 37 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 avg)
% Maximal term depth : 6 ( 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 : 96 ( 96 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : difference(X,difference(Y,X)) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y] : difference(X,difference(X,Y)) = difference(Y,difference(Y,X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z] : difference(difference(X,Y),Z) = difference(difference(X,Z),Y),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,negated_conjecture,
difference(difference(a,b),c) != difference(difference(a,c),difference(b,c)),
file('/export/starexec/sandbox2/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),X1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f8,plain,
difference(difference(a,b),c) != difference(difference(a,c),difference(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(f50,plain,
! [X0,X1,X2,X3] : difference(difference(difference(X0,X1),X2),X3) = difference(difference(difference(X0,X2),X3),X1),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f52,plain,
! [X0,X1,X2] : difference(difference(X0,X1),X2) = difference(difference(difference(X0,X1),X2),X1),
inference(paramodulation,[status(thm)],[f9,f7]) ).
fof(f53,plain,
! [X0,X1,X2] : difference(difference(X0,difference(X0,X1)),X2) = difference(difference(X1,X2),difference(X1,X0)),
inference(paramodulation,[status(thm)],[f6,f7]) ).
fof(f55,plain,
! [X0,X1,X2] : difference(X0,X1) = difference(difference(X0,X1),difference(X2,X0)),
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f66,plain,
! [X0,X1,X2] : difference(X0,difference(difference(X1,X0),X2)) = X0,
inference(paramodulation,[status(thm)],[f7,f5]) ).
fof(f86,plain,
! [X0,X1,X2] : difference(difference(X0,X1),difference(X1,X2)) = difference(X0,X1),
inference(paramodulation,[status(thm)],[f5,f66]) ).
fof(f90,plain,
! [X0,X1,X2,X3] : difference(difference(X0,X1),difference(difference(X1,X2),X3)) = difference(difference(X0,X1),difference(X1,X2)),
inference(paramodulation,[status(thm)],[f86,f86]) ).
fof(f91,plain,
! [X0,X1,X2,X3] : difference(difference(X0,X1),difference(difference(X1,X2),X3)) = difference(X0,X1),
inference(forward_demodulation,[status(thm)],[f86,f90]) ).
fof(f127,plain,
! [X0,X1] : difference(X0,X1) = difference(X0,difference(X0,difference(X0,X1))),
inference(paramodulation,[status(thm)],[f6,f55]) ).
fof(f514,plain,
! [X0,X1] : difference(X0,X1) = difference(X0,difference(X1,difference(X1,X0))),
inference(paramodulation,[status(thm)],[f6,f127]) ).
fof(f565,plain,
! [X0,X1,X2] : difference(difference(X0,X1),difference(X0,difference(X0,X2))) = difference(difference(X0,X2),X1),
inference(paramodulation,[status(thm)],[f127,f7]) ).
fof(f953,plain,
! [X0,X1,X2] : difference(X0,difference(X1,X2)) = difference(X0,difference(difference(X1,X2),difference(difference(X1,X0),X2))),
inference(paramodulation,[status(thm)],[f7,f514]) ).
fof(f1606,plain,
! [X0,X1,X2,X3] : difference(difference(X0,X1),difference(difference(X2,X3),difference(X2,X1))) = difference(X0,X1),
inference(paramodulation,[status(thm)],[f53,f91]) ).
fof(f1697,plain,
! [X0,X1,X2] : difference(difference(X0,X1),difference(X0,X2)) = difference(difference(X0,X1),difference(difference(X0,X2),difference(difference(X1,difference(X1,X0)),X2))),
inference(paramodulation,[status(thm)],[f53,f514]) ).
fof(f1718,plain,
! [X0,X1,X2] : difference(difference(X0,X1),difference(difference(X0,X1),difference(X0,X2))) = difference(difference(X0,X2),difference(difference(X1,difference(X1,X0)),X2)),
inference(paramodulation,[status(thm)],[f53,f6]) ).
fof(f1729,plain,
! [X0,X1,X2] : difference(difference(difference(X0,X1),difference(difference(X0,X1),difference(X0,X2))),X1) = difference(difference(X0,X2),X1),
inference(paramodulation,[status(thm)],[f53,f1606]) ).
fof(f1730,plain,
! [X0,X1,X2] : difference(difference(difference(X0,X1),X1),difference(difference(X0,X1),difference(X0,X2))) = difference(difference(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f50,f1729]) ).
fof(f1731,plain,
! [X0,X1,X2] : difference(difference(X0,X1),difference(difference(X0,X1),difference(X0,X2))) = difference(difference(X0,X2),X1),
inference(forward_demodulation,[status(thm)],[f9,f1730]) ).
fof(f1946,plain,
! [X0,X1,X2] : difference(difference(X0,X1),X2) = difference(difference(X0,X1),difference(difference(X2,difference(X2,X0)),X1)),
inference(backward_demodulation,[status(thm)],[f1731,f1718]) ).
fof(f1956,plain,
! [X0,X1,X2] : difference(difference(X0,X1),difference(X0,X2)) = difference(difference(X0,X1),difference(difference(X0,X2),X1)),
inference(backward_demodulation,[status(thm)],[f1946,f1697]) ).
fof(f1976,plain,
! [X0,X1,X2] : difference(X0,difference(X1,X2)) = difference(X0,difference(difference(X1,X2),difference(X1,X0))),
inference(backward_demodulation,[status(thm)],[f1956,f953]) ).
fof(f2062,plain,
! [X0,X1,X2] : difference(difference(X0,X1),difference(X0,difference(X0,X2))) = difference(difference(X0,X1),difference(difference(X2,X1),difference(X2,X0))),
inference(paramodulation,[status(thm)],[f53,f1956]) ).
fof(f2063,plain,
! [X0,X1,X2] : difference(difference(X0,X1),X2) = difference(difference(X0,X2),difference(difference(X1,X2),difference(X1,X0))),
inference(forward_demodulation,[status(thm)],[f565,f2062]) ).
fof(f2692,plain,
! [X0,X1,X2] : difference(difference(difference(X0,X1),X2),X1) = difference(difference(X0,X1),difference(difference(X2,X1),difference(X2,difference(X0,X1)))),
inference(paramodulation,[status(thm)],[f9,f2063]) ).
fof(f2693,plain,
! [X0,X1,X2] : difference(difference(X0,X1),X2) = difference(difference(X0,X1),difference(difference(X2,X1),difference(X2,difference(X0,X1)))),
inference(forward_demodulation,[status(thm)],[f52,f2692]) ).
fof(f2694,plain,
! [X0,X1,X2] : difference(difference(X0,X1),X2) = difference(difference(X0,X1),difference(X2,X1)),
inference(forward_demodulation,[status(thm)],[f1976,f2693]) ).
fof(f3159,plain,
difference(difference(a,b),c) != difference(difference(a,c),b),
inference(backward_demodulation,[status(thm)],[f2694,f8]) ).
fof(f3160,plain,
difference(difference(a,b),c) != difference(difference(a,b),c),
inference(forward_demodulation,[status(thm)],[f7,f3159]) ).
fof(f3161,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f3160]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.11 % Problem : ALG007-1 : TPTP v8.1.2. Released v2.2.0.
% 0.06/0.11 % 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 23:45:43 EDT 2024
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.6.0
% 3.30/0.82 % Refutation found
% 3.30/0.82 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 3.30/0.82 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 3.30/0.84 % Elapsed time: 0.511179 seconds
% 3.30/0.84 % CPU time: 3.962732 seconds
% 3.30/0.84 % Total memory used: 57.231 MB
% 3.30/0.84 % Net memory used: 54.755 MB
%------------------------------------------------------------------------------