TSTP Solution File: GRP554-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP554-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 12:12:02 EDT 2023
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 2 con; 0-2 aty)
% Number of variables : 64 (; 64 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(A,inverse(divide(B,divide(A,C)))),C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : divide(multiply(X0,divide(X1,divide(X0,X2))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2) = X1,
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2] : multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f5,f8]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : divide(multiply(X0,X1),X2) = multiply(X3,divide(X1,divide(X3,divide(X0,X2)))),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f17,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,divide(X1,multiply(X0,X2))),divide(X3,X1)),X2) = X3,
inference(paramodulation,[status(thm)],[f9,f9]) ).
fof(f18,plain,
! [X0,X1] : multiply(X0,divide(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f9,f17]) ).
fof(f36,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X2,divide(X1,divide(X2,X0))),
inference(paramodulation,[status(thm)],[f7,f18]) ).
fof(f37,plain,
! [X0,X1] : multiply(inverse(X0),multiply(X1,X0)) = X1,
inference(paramodulation,[status(thm)],[f5,f18]) ).
fof(f40,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),X2) = multiply(divide(X0,X2),X1),
inference(backward_demodulation,[status(thm)],[f36,f10]) ).
fof(f41,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f36,f7]) ).
fof(f57,plain,
! [X0,X1] : multiply(inverse(divide(X0,X1)),X0) = X1,
inference(paramodulation,[status(thm)],[f18,f37]) ).
fof(f74,plain,
! [X0,X1] : multiply(inverse(X0),X1) = inverse(divide(X0,X1)),
inference(paramodulation,[status(thm)],[f57,f37]) ).
fof(f77,plain,
! [X0,X1] : inverse(divide(divide(X0,X1),X0)) = X1,
inference(backward_demodulation,[status(thm)],[f74,f57]) ).
fof(f78,plain,
multiply(inverse(divide(b2,b2)),a2) != a2,
inference(backward_demodulation,[status(thm)],[f74,f6]) ).
fof(f79,plain,
inverse(divide(divide(b2,b2),a2)) != a2,
inference(forward_demodulation,[status(thm)],[f74,f78]) ).
fof(f80,plain,
! [X0,X1] : inverse(divide(X0,multiply(X1,X0))) = X1,
inference(backward_demodulation,[status(thm)],[f74,f37]) ).
fof(f103,plain,
! [X0,X1] : inverse(multiply(divide(inverse(X0),X1),X0)) = X1,
inference(paramodulation,[status(thm)],[f5,f77]) ).
fof(f104,plain,
! [X0,X1] : inverse(divide(multiply(inverse(X0),X0),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f40,f103]) ).
fof(f105,plain,
! [X0,X1] : inverse(divide(inverse(divide(X0,X0)),X1)) = X1,
inference(forward_demodulation,[status(thm)],[f74,f104]) ).
fof(f109,plain,
! [X0,X1] : X0 = multiply(X0,inverse(divide(X1,X1))),
inference(paramodulation,[status(thm)],[f80,f105]) ).
fof(f121,plain,
! [X0,X1] : divide(X0,X0) = inverse(divide(X1,X1)),
inference(paramodulation,[status(thm)],[f109,f41]) ).
fof(f144,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),X0) = multiply(inverse(divide(X2,X2)),X1),
inference(paramodulation,[status(thm)],[f121,f40]) ).
fof(f145,plain,
! [X0,X1] : X0 = multiply(inverse(divide(X1,X1)),X0),
inference(forward_demodulation,[status(thm)],[f41,f144]) ).
fof(f146,plain,
! [X0,X1] : X0 = inverse(divide(divide(X1,X1),X0)),
inference(forward_demodulation,[status(thm)],[f74,f145]) ).
fof(f156,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f146,f79]) ).
fof(f157,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f156]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP554-1 : TPTP v8.1.2. Released v2.6.0.
% 0.11/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n012.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 11:23:40 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % Drodi V3.5.1
% 0.13/0.35 % Refutation found
% 0.13/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.13/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.57 % Elapsed time: 0.012264 seconds
% 0.20/0.57 % CPU time: 0.049950 seconds
% 0.20/0.57 % Memory used: 1.327 MB
%------------------------------------------------------------------------------