TSTP Solution File: GRP560-1 by Drodi---3.6.0
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%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP560-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n008.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 20:20:57 EDT 2024
% Result : Unsatisfiable 0.12s 0.36s
% Output : CNFRefutation 0.12s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 3
% Syntax : Number of formulae : 18 ( 18 unt; 0 def)
% Number of atoms : 18 ( 17 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 6 ( 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 : 38 ( 38 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(A,inverse(divide(divide(B,C),divide(A,C)))) = B,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(a,b) != multiply(b,a),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : divide(X0,inverse(divide(divide(X1,X2),divide(X0,X2)))) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = divide(X0,inverse(X1)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(a,b) != multiply(b,a),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : multiply(X0,divide(divide(X1,X2),divide(X0,X2))) = X1,
inference(forward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : X0 = multiply(X1,divide(multiply(X0,X2),divide(X1,inverse(X2)))),
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f10,plain,
! [X0,X1,X2] : X0 = multiply(X1,divide(multiply(X0,X2),multiply(X1,X2))),
inference(forward_demodulation,[status(thm)],[f5,f8]) ).
fof(f12,plain,
! [X0,X1,X2,X3] : X0 = multiply(X1,divide(X2,multiply(X1,divide(multiply(X2,X3),multiply(X0,X3))))),
inference(paramodulation,[status(thm)],[f10,f10]) ).
fof(f16,plain,
! [X0,X1] : X0 = multiply(X0,divide(X1,X1)),
inference(paramodulation,[status(thm)],[f10,f12]) ).
fof(f28,plain,
! [X0,X1] : X0 = multiply(X1,divide(X0,X1)),
inference(paramodulation,[status(thm)],[f16,f12]) ).
fof(f40,plain,
! [X0,X1] : X0 = multiply(inverse(X1),multiply(X0,X1)),
inference(paramodulation,[status(thm)],[f5,f28]) ).
fof(f64,plain,
! [X0,X1] : X0 = multiply(inverse(divide(X1,X1)),X0),
inference(paramodulation,[status(thm)],[f16,f40]) ).
fof(f154,plain,
! [X0,X1,X2] : divide(multiply(X0,X1),multiply(inverse(divide(X2,X2)),X1)) = X0,
inference(paramodulation,[status(thm)],[f10,f64]) ).
fof(f184,plain,
! [X0,X1] : divide(multiply(X0,X1),X1) = X0,
inference(forward_demodulation,[status(thm)],[f64,f154]) ).
fof(f216,plain,
! [X0,X1] : multiply(X0,X1) = multiply(X1,X0),
inference(paramodulation,[status(thm)],[f184,f28]) ).
fof(f220,plain,
$false,
inference(resolution,[status(thm)],[f216,f6]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : GRP560-1 : TPTP v8.1.2. Bugfixed v2.7.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.12/0.34 % Computer : n008.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 300
% 0.12/0.34 % DateTime : Tue Apr 30 00:28:58 EDT 2024
% 0.12/0.34 % CPUTime :
% 0.12/0.35 % Drodi V3.6.0
% 0.12/0.36 % Refutation found
% 0.12/0.36 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.12/0.36 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.20/0.37 % Elapsed time: 0.023630 seconds
% 0.20/0.37 % CPU time: 0.064957 seconds
% 0.20/0.37 % Total memory used: 3.556 MB
% 0.20/0.37 % Net memory used: 3.546 MB
%------------------------------------------------------------------------------