TSTP Solution File: GRP116-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% 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 : n022.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 : Tue Apr 30 20:19:16 EDT 2024
% Result : Unsatisfiable 0.15s 0.38s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 2
% Syntax : Number of formulae : 20 ( 20 unt; 0 def)
% Number of atoms : 20 ( 19 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 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] : X0 = multiply(X1,multiply(multiply(X1,multiply(multiply(X1,X0),multiply(identity,multiply(multiply(identity,X2),multiply(identity,X2))))),X2)),
inference(paramodulation,[status(thm)],[f3,f3]) ).
fof(f10,plain,
! [X0,X1,X2] : multiply(multiply(X0,X1),multiply(identity,X2)) = multiply(X0,multiply(X1,X2)),
inference(paramodulation,[status(thm)],[f3,f8]) ).
fof(f26,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] : X0 = multiply(X1,multiply(X1,multiply(multiply(X1,X0),multiply(identity,identity)))),
inference(paramodulation,[status(thm)],[f10,f26]) ).
fof(f31,plain,
! [X0,X1,X2] : X0 = multiply(X1,multiply(X1,multiply(multiply(X1,multiply(X0,X2)),multiply(multiply(identity,X2),multiply(identity,X2))))),
inference(paramodulation,[status(thm)],[f10,f26]) ).
fof(f38,plain,
! [X0,X1] : X0 = multiply(X1,multiply(X1,multiply(X1,multiply(X0,identity)))),
inference(forward_demodulation,[status(thm)],[f10,f30]) ).
fof(f39,plain,
! [X0,X1,X2] : X0 = multiply(X1,multiply(X1,multiply(multiply(X1,multiply(X0,X2)),multiply(identity,multiply(X2,X2))))),
inference(forward_demodulation,[status(thm)],[f10,f31]) ).
fof(f40,plain,
! [X0,X1,X2] : X0 = multiply(X1,multiply(X1,multiply(X1,multiply(multiply(X0,X2),multiply(X2,X2))))),
inference(forward_demodulation,[status(thm)],[f10,f39]) ).
fof(f48,plain,
! [X0,X1] : X0 = multiply(multiply(X0,multiply(X1,X1)),X1),
inference(paramodulation,[status(thm)],[f40,f40]) ).
fof(f69,plain,
! [X0,X1] : X0 = multiply(X0,multiply(multiply(multiply(identity,X1),multiply(identity,X1)),X1)),
inference(paramodulation,[status(thm)],[f10,f48]) ).
fof(f82,plain,
! [X0,X1] : X0 = multiply(X0,multiply(multiply(identity,multiply(X1,X1)),X1)),
inference(forward_demodulation,[status(thm)],[f10,f69]) ).
fof(f83,plain,
! [X0] : X0 = multiply(X0,identity),
inference(forward_demodulation,[status(thm)],[f48,f82]) ).
fof(f89,plain,
! [X0,X1] : X0 = multiply(X1,multiply(X1,multiply(X1,X0))),
inference(backward_demodulation,[status(thm)],[f83,f38]) ).
fof(f117,plain,
! [X0] : identity = multiply(X0,multiply(X0,X0)),
inference(paramodulation,[status(thm)],[f83,f89]) ).
fof(f129,plain,
! [X0] : X0 = multiply(identity,X0),
inference(paramodulation,[status(thm)],[f117,f48]) ).
fof(f137,plain,
$false,
inference(resolution,[status(thm)],[f129,f4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.12/0.13 % Problem : GRP116-1 : TPTP v8.1.2. Released v1.2.0.
% 0.12/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.15/0.35 % Computer : n022.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Tue Apr 30 00:20:28 EDT 2024
% 0.15/0.35 % CPUTime :
% 0.15/0.37 % Drodi V3.6.0
% 0.15/0.38 % Refutation found
% 0.15/0.38 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.38 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.39 % Elapsed time: 0.026115 seconds
% 0.15/0.39 % CPU time: 0.059779 seconds
% 0.15/0.39 % Total memory used: 3.546 MB
% 0.15/0.39 % Net memory used: 3.455 MB
%------------------------------------------------------------------------------