TSTP Solution File: GRP116-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP116-1 : TPTP v8.1.2. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n028.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 12:10:15 EDT 2023
% Result : Unsatisfiable 0.11s 0.27s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 2
% Syntax : Number of formulae : 21 ( 21 unt; 0 def)
% Number of atoms : 21 ( 20 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 : 3 ( 3 usr; 2 con; 0-2 aty)
% Number of variables : 39 (; 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y,Z] : multiply(X,multiply(multiply(X,multiply(multiply(X,Y),Z)),multiply(identity,multiply(Z,Z)))) = Y,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
multiply(identity,a) != a,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),X2)),multiply(identity,multiply(X2,X2)))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f4,plain,
multiply(identity,a) != a,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0,X1,X2] : multiply(X0,multiply(multiply(X0,multiply(multiply(X0,X1),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2))))),X2)) = X1,
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f10,plain,
! [X0,X1,X2] : multiply(X0,multiply(X1,X2)) = multiply(multiply(X0,X1),multiply(identity,X2)),
inference(paramodulation,[status(thm)],[f3,f8]) ).
fof(f27,plain,
! [X0,X1,X2] : multiply(X0,multiply(X0,multiply(multiply(multiply(X0,X1),X2),multiply(X2,X2)))) = X1,
inference(backward_demodulation,[status(thm)],[f10,f3]) ).
fof(f30,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(multiply(X0,X1),multiply(identity,identity)))) = X1,
inference(paramodulation,[status(thm)],[f10,f27]) ).
fof(f31,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,multiply(X1,identity)))) = X1,
inference(forward_demodulation,[status(thm)],[f10,f30]) ).
fof(f32,plain,
! [X0,X1,X2] : multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,X2)),multiply(multiply(identity,X2),multiply(identity,X2))))) = X1,
inference(paramodulation,[status(thm)],[f10,f27]) ).
fof(f33,plain,
! [X0,X1,X2] : multiply(X0,multiply(X0,multiply(multiply(X0,multiply(X1,X2)),multiply(identity,multiply(X2,X2))))) = X1,
inference(forward_demodulation,[status(thm)],[f10,f32]) ).
fof(f34,plain,
! [X0,X1,X2] : multiply(X0,multiply(X0,multiply(X0,multiply(multiply(X1,X2),multiply(X2,X2))))) = X1,
inference(forward_demodulation,[status(thm)],[f10,f33]) ).
fof(f47,plain,
! [X0,X1] : multiply(multiply(X0,multiply(X1,X1)),X1) = X0,
inference(paramodulation,[status(thm)],[f34,f34]) ).
fof(f67,plain,
! [X0,X1] : multiply(X0,multiply(multiply(multiply(identity,X1),multiply(identity,X1)),X1)) = X0,
inference(paramodulation,[status(thm)],[f10,f47]) ).
fof(f68,plain,
! [X0,X1] : multiply(X0,multiply(multiply(identity,multiply(X1,X1)),X1)) = X0,
inference(forward_demodulation,[status(thm)],[f10,f67]) ).
fof(f69,plain,
! [X0] : multiply(X0,identity) = X0,
inference(forward_demodulation,[status(thm)],[f47,f68]) ).
fof(f87,plain,
! [X0,X1] : multiply(X0,multiply(X0,multiply(X0,X1))) = X1,
inference(backward_demodulation,[status(thm)],[f69,f31]) ).
fof(f113,plain,
! [X0] : multiply(X0,multiply(X0,X0)) = identity,
inference(paramodulation,[status(thm)],[f69,f87]) ).
fof(f128,plain,
! [X0] : multiply(identity,X0) = X0,
inference(paramodulation,[status(thm)],[f113,f47]) ).
fof(f132,plain,
a != a,
inference(backward_demodulation,[status(thm)],[f128,f4]) ).
fof(f133,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f132]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.01/0.07 % Problem : GRP116-1 : TPTP v8.1.2. Released v1.2.0.
% 0.01/0.07 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.07/0.26 % Computer : n028.cluster.edu
% 0.07/0.26 % Model : x86_64 x86_64
% 0.07/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.26 % Memory : 8042.1875MB
% 0.07/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.26 % CPULimit : 300
% 0.07/0.26 % WCLimit : 300
% 0.07/0.26 % DateTime : Tue May 30 11:43:47 EDT 2023
% 0.07/0.26 % CPUTime :
% 0.11/0.26 % Drodi V3.5.1
% 0.11/0.27 % Refutation found
% 0.11/0.27 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.11/0.27 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.28 % Elapsed time: 0.017411 seconds
% 0.11/0.28 % CPU time: 0.038470 seconds
% 0.11/0.28 % Memory used: 1.249 MB
%------------------------------------------------------------------------------