TSTP Solution File: GRP553-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : GRP553-1 : TPTP v8.1.2. Released v2.6.0.
% 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 20:20:56 EDT 2024
% Result : Unsatisfiable 0.14s 0.37s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 3
% Syntax : Number of formulae : 23 ( 23 unt; 0 def)
% Number of atoms : 23 ( 22 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 2 ( 2 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 4 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 : 57 ( 57 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : divide(divide(A,inverse(divide(B,divide(A,C)))),C) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = divide(A,inverse(B)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(inverse(a1),a1) != multiply(inverse(b1),b1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : divide(divide(X0,inverse(divide(X1,divide(X0,X2)))),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(inverse(a1),a1) != multiply(inverse(b1),b1),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : divide(multiply(X0,divide(X1,divide(X0,X2))),X2) = X1,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : multiply(multiply(X0,divide(X1,divide(X0,inverse(X2)))),X2) = X1,
inference(paramodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2] : multiply(multiply(X0,divide(X1,multiply(X0,X2))),X2) = X1,
inference(forward_demodulation,[status(thm)],[f5,f8]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : divide(multiply(X0,X1),X2) = multiply(X3,divide(X1,divide(X3,divide(X0,X2)))),
inference(paramodulation,[status(thm)],[f7,f7]) ).
fof(f16,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),X2) = multiply(X3,divide(X1,divide(X3,multiply(X0,X2)))),
inference(paramodulation,[status(thm)],[f7,f9]) ).
fof(f25,plain,
! [X0,X1,X2] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X2)) = X1,
inference(paramodulation,[status(thm)],[f16,f7]) ).
fof(f35,plain,
! [X0,X1,X2] : divide(divide(multiply(X0,X1),X2),divide(X0,X2)) = X1,
inference(paramodulation,[status(thm)],[f10,f7]) ).
fof(f54,plain,
! [X0,X1,X2] : divide(X0,divide(multiply(X1,X0),multiply(X1,X2))) = X2,
inference(paramodulation,[status(thm)],[f25,f35]) ).
fof(f79,plain,
! [X0,X1,X2,X3] : divide(multiply(multiply(X0,X1),X2),multiply(X0,X3)) = multiply(X1,divide(X2,X3)),
inference(paramodulation,[status(thm)],[f54,f10]) ).
fof(f84,plain,
! [X0,X1] : multiply(X0,divide(X1,X1)) = X0,
inference(backward_demodulation,[status(thm)],[f79,f25]) ).
fof(f89,plain,
! [X0,X1] : multiply(X0,multiply(inverse(X1),X1)) = X0,
inference(paramodulation,[status(thm)],[f5,f84]) ).
fof(f97,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),divide(X2,X2)) = multiply(X3,divide(X1,divide(X3,X0))),
inference(paramodulation,[status(thm)],[f84,f16]) ).
fof(f98,plain,
! [X0,X1,X2] : multiply(X0,X1) = multiply(X2,divide(X1,divide(X2,X0))),
inference(forward_demodulation,[status(thm)],[f84,f97]) ).
fof(f103,plain,
! [X0,X1] : divide(multiply(X0,X1),X0) = X1,
inference(backward_demodulation,[status(thm)],[f98,f7]) ).
fof(f129,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(paramodulation,[status(thm)],[f5,f103]) ).
fof(f250,plain,
! [X0,X1] : multiply(inverse(X0),X0) = multiply(inverse(X1),X1),
inference(paramodulation,[status(thm)],[f89,f129]) ).
fof(f251,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[f6,f250]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : GRP553-1 : TPTP v8.1.2. Released v2.6.0.
% 0.08/0.14 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.35 % Computer : n008.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Tue Apr 30 00:28:27 EDT 2024
% 0.14/0.35 % CPUTime :
% 0.14/0.36 % Drodi V3.6.0
% 0.14/0.37 % Refutation found
% 0.14/0.37 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.14/0.37 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.38 % Elapsed time: 0.018342 seconds
% 0.14/0.38 % CPU time: 0.062675 seconds
% 0.14/0.38 % Total memory used: 4.859 MB
% 0.14/0.38 % Net memory used: 4.705 MB
%------------------------------------------------------------------------------