TSTP Solution File: GRP458-1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP458-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n032.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 0.08s 0.29s
% Output : CNFRefutation 0.08s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% 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 : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 7 ( 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 : 51 (; 51 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(divide(A,A),divide(A,divide(B,divide(divide(identity,A),C)))),C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,divide(identity,B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A] : inverse(A) = divide(identity,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A] : identity = divide(A,A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(identity,a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1,X2] : divide(divide(divide(X0,X0),divide(X0,divide(X1,divide(divide(identity,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(identity,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(divide(divide(X0,X0),divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f8,f6]) ).
fof(f13,plain,
! [X0,X1,X2] : divide(divide(identity,divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f9,f12]) ).
fof(f14,plain,
! [X0,X1,X2] : divide(inverse(divide(X0,divide(X1,divide(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f8,f13]) ).
fof(f15,plain,
! [X0] : multiply(inverse(X0),X0) = identity,
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f17,plain,
! [X0,X1,X2] : multiply(inverse(divide(X0,divide(X1,divide(inverse(X0),inverse(X2))))),X2) = X1,
inference(paramodulation,[status(thm)],[f11,f14]) ).
fof(f18,plain,
! [X0,X1,X2] : multiply(inverse(divide(X0,divide(X1,multiply(inverse(X0),X2)))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f11,f17]) ).
fof(f24,plain,
! [X0,X1] : divide(inverse(divide(X0,divide(X1,identity))),inverse(X0)) = X1,
inference(paramodulation,[status(thm)],[f9,f14]) ).
fof(f25,plain,
! [X0,X1] : multiply(inverse(divide(X0,divide(X1,identity))),X0) = X1,
inference(forward_demodulation,[status(thm)],[f11,f24]) ).
fof(f29,plain,
! [X0,X1] : multiply(inverse(divide(X0,identity)),X1) = multiply(inverse(X0),X1),
inference(paramodulation,[status(thm)],[f9,f18]) ).
fof(f33,plain,
! [X0] : multiply(inverse(identity),divide(X0,identity)) = X0,
inference(paramodulation,[status(thm)],[f9,f25]) ).
fof(f40,plain,
! [X0,X1] : multiply(inverse(divide(identity,divide(X0,X1))),divide(X1,identity)) = X0,
inference(paramodulation,[status(thm)],[f33,f18]) ).
fof(f41,plain,
! [X0,X1] : multiply(inverse(inverse(divide(X0,X1))),divide(X1,identity)) = X0,
inference(forward_demodulation,[status(thm)],[f8,f40]) ).
fof(f52,plain,
! [X0,X1,X2] : multiply(inverse(inverse(X0)),divide(X1,identity)) = inverse(divide(X2,divide(X0,divide(inverse(X2),X1)))),
inference(paramodulation,[status(thm)],[f14,f41]) ).
fof(f59,plain,
! [X0,X1] : divide(multiply(inverse(inverse(X0)),divide(X1,identity)),X1) = X0,
inference(backward_demodulation,[status(thm)],[f52,f14]) ).
fof(f72,plain,
! [X0] : identity = multiply(inverse(X0),divide(X0,identity)),
inference(paramodulation,[status(thm)],[f15,f29]) ).
fof(f107,plain,
! [X0] : divide(identity,inverse(X0)) = X0,
inference(paramodulation,[status(thm)],[f72,f59]) ).
fof(f108,plain,
! [X0] : multiply(identity,X0) = X0,
inference(forward_demodulation,[status(thm)],[f11,f107]) ).
fof(f136,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f108,f10]) ).
fof(f137,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f136]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : GRP458-1 : TPTP v8.1.2. Released v2.6.0.
% 0.05/0.09 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.28 % Computer : n032.cluster.edu
% 0.08/0.28 % Model : x86_64 x86_64
% 0.08/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28 % Memory : 8042.1875MB
% 0.08/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28 % CPULimit : 300
% 0.08/0.28 % WCLimit : 300
% 0.08/0.28 % DateTime : Tue May 30 11:33:31 EDT 2023
% 0.08/0.28 % CPUTime :
% 0.08/0.28 % Drodi V3.5.1
% 0.08/0.29 % Refutation found
% 0.08/0.29 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.08/0.29 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.08/0.29 % Elapsed time: 0.014417 seconds
% 0.08/0.29 % CPU time: 0.033809 seconds
% 0.08/0.29 % Memory used: 1.116 MB
%------------------------------------------------------------------------------