TSTP Solution File: GRP550-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP550-1 : TPTP v8.1.2. Released v2.6.0.
% 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 : Wed May 31 12:12:02 EDT 2023
% Result : Unsatisfiable 0.16s 0.35s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 5
% Syntax : Number of formulae : 30 ( 30 unt; 0 def)
% Number of atoms : 30 ( 29 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 5 ( 5 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 37 (; 37 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(identity,A),divide(divide(divide(B,A),C),B)) = C,
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(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(identity,X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
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(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f11,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(backward_demodulation,[status(thm)],[f8,f7]) ).
fof(f12,plain,
! [X0,X1,X2] : divide(inverse(X0),divide(divide(divide(X1,X0),X2),X1)) = X2,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f13,plain,
inverse(identity) = identity,
inference(paramodulation,[status(thm)],[f9,f8]) ).
fof(f16,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f17,plain,
! [X0] : multiply(X0,identity) = divide(X0,identity),
inference(paramodulation,[status(thm)],[f13,f11]) ).
fof(f20,plain,
multiply(identity,a2) != a2,
inference(backward_demodulation,[status(thm)],[f16,f10]) ).
fof(f28,plain,
! [X0,X1] : divide(inverse(X0),divide(identity,X1)) = divide(X1,X0),
inference(paramodulation,[status(thm)],[f9,f12]) ).
fof(f29,plain,
! [X0,X1] : divide(inverse(X0),inverse(X1)) = divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f8,f28]) ).
fof(f30,plain,
! [X0,X1] : multiply(inverse(X0),X1) = divide(X1,X0),
inference(forward_demodulation,[status(thm)],[f11,f29]) ).
fof(f36,plain,
! [X0,X1] : divide(inverse(X0),divide(divide(identity,X1),X0)) = X1,
inference(paramodulation,[status(thm)],[f9,f12]) ).
fof(f37,plain,
! [X0,X1] : divide(inverse(X0),divide(inverse(X1),X0)) = X1,
inference(forward_demodulation,[status(thm)],[f8,f36]) ).
fof(f45,plain,
! [X0] : divide(inverse(X0),identity) = divide(identity,X0),
inference(paramodulation,[status(thm)],[f17,f30]) ).
fof(f46,plain,
! [X0] : divide(inverse(X0),identity) = inverse(X0),
inference(forward_demodulation,[status(thm)],[f8,f45]) ).
fof(f49,plain,
! [X0] : multiply(identity,X0) = divide(X0,identity),
inference(paramodulation,[status(thm)],[f13,f30]) ).
fof(f52,plain,
divide(a2,identity) != a2,
inference(backward_demodulation,[status(thm)],[f49,f20]) ).
fof(f98,plain,
! [X0] : divide(inverse(identity),inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f46,f37]) ).
fof(f99,plain,
! [X0] : multiply(inverse(identity),X0) = X0,
inference(forward_demodulation,[status(thm)],[f11,f98]) ).
fof(f100,plain,
! [X0] : divide(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f30,f99]) ).
fof(f118,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f100,f52]) ).
fof(f119,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f118]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.11 % Problem : GRP550-1 : TPTP v8.1.2. Released v2.6.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.32 % Computer : n018.cluster.edu
% 0.10/0.32 % Model : x86_64 x86_64
% 0.10/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.32 % Memory : 8042.1875MB
% 0.10/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.32 % CPULimit : 300
% 0.10/0.32 % WCLimit : 300
% 0.10/0.32 % DateTime : Tue May 30 11:37:25 EDT 2023
% 0.10/0.32 % CPUTime :
% 0.10/0.32 % Drodi V3.5.1
% 0.16/0.35 % Refutation found
% 0.16/0.35 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.16/0.35 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.57 % Elapsed time: 0.032108 seconds
% 0.17/0.57 % CPU time: 0.015717 seconds
% 0.17/0.57 % Memory used: 309.658 KB
%------------------------------------------------------------------------------