TSTP Solution File: GRP456-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP456-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n029.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 12:11:45 EDT 2023
% Result : Unsatisfiable 0.10s 0.27s
% Output : CNFRefutation 0.10s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 5
% 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 ( 3 avg)
% Maximal term depth : 8 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 97 (; 97 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(identity,divide(A,divide(B,divide(divide(divide(A,A),A),C)))),C) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,divide(identity,B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = divide(identity,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = divide(A,A),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(identity,divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,divide(identity,X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0] : inverse(X0) = divide(identity,X0),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : identity = divide(X0,X0),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
multiply(multiply(a3,b3),c3) != multiply(a3,multiply(b3,c3)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,divide(X1,divide(divide(divide(X0,X0),X0),X2)))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f12,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,divide(X1,divide(divide(identity,X0),X2)))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f9,f11]) ).
fof(f13,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f8,f12]) ).
fof(f14,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f15,plain,
! [X0] : multiply(identity,X0) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f8,f14]) ).
fof(f17,plain,
! [X0] : multiply(identity,inverse(X0)) = inverse(multiply(identity,X0)),
inference(paramodulation,[status(thm)],[f15,f15]) ).
fof(f23,plain,
identity = inverse(identity),
inference(paramodulation,[status(thm)],[f8,f9]) ).
fof(f24,plain,
! [X0] : identity = multiply(inverse(X0),X0),
inference(paramodulation,[status(thm)],[f14,f9]) ).
fof(f29,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(paramodulation,[status(thm)],[f23,f14]) ).
fof(f48,plain,
! [X0] : identity = multiply(multiply(identity,X0),inverse(X0)),
inference(paramodulation,[status(thm)],[f15,f24]) ).
fof(f77,plain,
! [X0,X1,X2] : multiply(inverse(divide(X0,divide(X1,divide(inverse(X0),inverse(X2))))),X2) = X1,
inference(paramodulation,[status(thm)],[f14,f13]) ).
fof(f78,plain,
! [X0,X1,X2] : multiply(inverse(divide(X0,divide(X1,multiply(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f14,f77]) ).
fof(f79,plain,
! [X0,X1] : divide(inverse(inverse(divide(X0,divide(inverse(identity),X1)))),X1) = X0,
inference(paramodulation,[status(thm)],[f8,f13]) ).
fof(f80,plain,
! [X0,X1] : divide(multiply(identity,divide(X0,divide(inverse(identity),X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f15,f79]) ).
fof(f81,plain,
! [X0,X1] : divide(multiply(identity,divide(X0,divide(identity,X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f23,f80]) ).
fof(f82,plain,
! [X0,X1] : divide(multiply(identity,divide(X0,inverse(X1))),X1) = X0,
inference(forward_demodulation,[status(thm)],[f8,f81]) ).
fof(f83,plain,
! [X0,X1] : divide(multiply(identity,multiply(X0,X1)),X1) = X0,
inference(forward_demodulation,[status(thm)],[f14,f82]) ).
fof(f93,plain,
! [X0,X1] : divide(inverse(divide(X0,divide(X1,identity))),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f9,f13]) ).
fof(f94,plain,
! [X0,X1] : multiply(inverse(divide(X0,divide(X1,identity))),X0) = X1,
inference(forward_demodulation,[status(thm)],[f14,f93]) ).
fof(f107,plain,
! [X0,X1] : multiply(multiply(identity,multiply(X0,inverse(X1))),X1) = X0,
inference(paramodulation,[status(thm)],[f14,f83]) ).
fof(f116,plain,
! [X0] : divide(multiply(identity,divide(X0,identity)),identity) = X0,
inference(paramodulation,[status(thm)],[f29,f83]) ).
fof(f122,plain,
! [X0,X1] : multiply(multiply(identity,X0),X1) = multiply(identity,multiply(X0,inverse(inverse(X1)))),
inference(paramodulation,[status(thm)],[f107,f107]) ).
fof(f123,plain,
! [X0,X1] : multiply(multiply(identity,X0),X1) = multiply(identity,multiply(X0,multiply(identity,X1))),
inference(forward_demodulation,[status(thm)],[f15,f122]) ).
fof(f133,plain,
! [X0,X1] : multiply(multiply(identity,multiply(X0,multiply(identity,inverse(X1)))),multiply(identity,X1)) = X0,
inference(paramodulation,[status(thm)],[f17,f107]) ).
fof(f134,plain,
! [X0,X1] : multiply(multiply(multiply(identity,X0),inverse(X1)),multiply(identity,X1)) = X0,
inference(forward_demodulation,[status(thm)],[f123,f133]) ).
fof(f138,plain,
! [X0,X1] : divide(multiply(identity,X0),X1) = multiply(identity,multiply(X0,inverse(X1))),
inference(paramodulation,[status(thm)],[f107,f83]) ).
fof(f140,plain,
! [X0,X1] : multiply(divide(multiply(identity,X0),X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f138,f107]) ).
fof(f141,plain,
! [X0] : multiply(identity,multiply(identity,X0)) = X0,
inference(paramodulation,[status(thm)],[f48,f134]) ).
fof(f251,plain,
! [X0,X1,X2] : multiply(inverse(divide(inverse(X0),divide(X1,multiply(multiply(identity,X0),X2)))),X2) = X1,
inference(paramodulation,[status(thm)],[f15,f78]) ).
fof(f266,plain,
! [X0,X1] : multiply(divide(X0,X1),X1) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f141,f140]) ).
fof(f283,plain,
! [X0] : divide(divide(X0,identity),identity) = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f29,f266]) ).
fof(f312,plain,
! [X0] : multiply(inverse(identity),divide(X0,identity)) = X0,
inference(paramodulation,[status(thm)],[f9,f94]) ).
fof(f313,plain,
! [X0] : multiply(identity,divide(X0,identity)) = X0,
inference(forward_demodulation,[status(thm)],[f23,f312]) ).
fof(f327,plain,
! [X0,X1] : divide(multiply(identity,X0),X1) = inverse(divide(X1,divide(X0,identity))),
inference(paramodulation,[status(thm)],[f94,f83]) ).
fof(f328,plain,
! [X0] : divide(X0,identity) = X0,
inference(backward_demodulation,[status(thm)],[f313,f116]) ).
fof(f336,plain,
! [X0] : divide(X0,identity) = multiply(identity,X0),
inference(backward_demodulation,[status(thm)],[f328,f283]) ).
fof(f337,plain,
! [X0] : X0 = multiply(identity,X0),
inference(forward_demodulation,[status(thm)],[f328,f336]) ).
fof(f340,plain,
! [X0,X1] : divide(multiply(identity,X0),X1) = inverse(divide(X1,X0)),
inference(backward_demodulation,[status(thm)],[f328,f327]) ).
fof(f341,plain,
! [X0,X1] : divide(X0,X1) = inverse(divide(X1,X0)),
inference(forward_demodulation,[status(thm)],[f337,f340]) ).
fof(f348,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(backward_demodulation,[status(thm)],[f337,f83]) ).
fof(f385,plain,
! [X0,X1,X2] : multiply(inverse(divide(inverse(X0),divide(X1,multiply(X0,X2)))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f337,f251]) ).
fof(f386,plain,
! [X0,X1,X2] : multiply(divide(divide(X0,multiply(X1,X2)),inverse(X1)),X2) = X0,
inference(forward_demodulation,[status(thm)],[f341,f385]) ).
fof(f387,plain,
! [X0,X1,X2] : multiply(multiply(divide(X0,multiply(X1,X2)),X1),X2) = X0,
inference(forward_demodulation,[status(thm)],[f14,f386]) ).
fof(f557,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f348,f387]) ).
fof(f593,plain,
multiply(a3,multiply(b3,c3)) != multiply(a3,multiply(b3,c3)),
inference(backward_demodulation,[status(thm)],[f557,f10]) ).
fof(f594,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f593]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.06 % Problem : GRP456-1 : TPTP v8.1.2. Released v2.6.0.
% 0.03/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.06/0.25 % Computer : n029.cluster.edu
% 0.06/0.25 % Model : x86_64 x86_64
% 0.06/0.25 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.25 % Memory : 8042.1875MB
% 0.06/0.25 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.25 % CPULimit : 300
% 0.06/0.25 % WCLimit : 300
% 0.06/0.25 % DateTime : Tue May 30 11:46:21 EDT 2023
% 0.06/0.25 % CPUTime :
% 0.10/0.26 % Drodi V3.5.1
% 0.10/0.27 % Refutation found
% 0.10/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.10/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.10/0.49 % Elapsed time: 0.021120 seconds
% 0.10/0.49 % CPU time: 0.029844 seconds
% 0.10/0.49 % Memory used: 502.001 KB
%------------------------------------------------------------------------------