TSTP Solution File: GRP598-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP598-1 : TPTP v8.1.2. Released v2.6.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n013.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 12:12:10 EDT 2023
% Result : Unsatisfiable 0.17s 0.41s
% Output : CNFRefutation 0.17s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 3
% Syntax : Number of formulae : 32 ( 32 unt; 0 def)
% Number of atoms : 32 ( 31 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 3 ( 3 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 8 ( 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 : 71 (; 71 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B,C] : double_divide(double_divide(A,B),inverse(double_divide(A,inverse(double_divide(inverse(C),B))))) = C,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : multiply(A,B) = inverse(double_divide(B,A)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,negated_conjecture,
multiply(multiply(inverse(b2),b2),a2) != a2,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,inverse(double_divide(inverse(X2),X1))))) = X2,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f5,plain,
! [X0,X1] : multiply(X0,X1) = inverse(double_divide(X1,X0)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f6,plain,
multiply(multiply(inverse(b2),b2),a2) != a2,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f7,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),inverse(double_divide(X0,multiply(X1,inverse(X2))))) = X2,
inference(backward_demodulation,[status(thm)],[f5,f4]) ).
fof(f8,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),multiply(multiply(X1,inverse(X2)),X0)) = X2,
inference(forward_demodulation,[status(thm)],[f5,f7]) ).
fof(f9,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(multiply(multiply(multiply(X1,inverse(X0)),X2),inverse(X3)),double_divide(X2,X1))) = X3,
inference(paramodulation,[status(thm)],[f8,f8]) ).
fof(f11,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,inverse(X1)),X2),double_divide(X2,X0)) = inverse(X1),
inference(paramodulation,[status(thm)],[f8,f5]) ).
fof(f15,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(multiply(multiply(X0,inverse(X1)),X2),inverse(X3)),double_divide(X2,X0)),X1) = inverse(X3),
inference(paramodulation,[status(thm)],[f8,f11]) ).
fof(f112,plain,
! [X0,X1,X2,X3] : multiply(multiply(inverse(X0),double_divide(double_divide(X1,X2),multiply(multiply(X2,inverse(inverse(X3))),X1))),X0) = inverse(X3),
inference(paramodulation,[status(thm)],[f15,f15]) ).
fof(f113,plain,
! [X0,X1] : multiply(multiply(inverse(X0),inverse(X1)),X0) = inverse(X1),
inference(forward_demodulation,[status(thm)],[f8,f112]) ).
fof(f126,plain,
! [X0,X1,X2,X3] : double_divide(X0,multiply(inverse(X0),double_divide(double_divide(X1,X2),multiply(multiply(X2,inverse(inverse(X3))),X1)))) = X3,
inference(paramodulation,[status(thm)],[f15,f9]) ).
fof(f127,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X0),inverse(X1))) = X1,
inference(forward_demodulation,[status(thm)],[f8,f126]) ).
fof(f147,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,X1),multiply(multiply(X1,X0),inverse(X2))) = X2,
inference(paramodulation,[status(thm)],[f5,f127]) ).
fof(f165,plain,
! [X0,X1] : multiply(inverse(X0),double_divide(X1,inverse(X1))) = inverse(X0),
inference(paramodulation,[status(thm)],[f113,f11]) ).
fof(f166,plain,
! [X0,X1] : double_divide(double_divide(X0,inverse(X0)),inverse(X1)) = X1,
inference(paramodulation,[status(thm)],[f113,f8]) ).
fof(f189,plain,
! [X0,X1,X2] : double_divide(double_divide(X0,inverse(X0)),multiply(X1,X2)) = double_divide(X2,X1),
inference(paramodulation,[status(thm)],[f5,f166]) ).
fof(f366,plain,
! [X0,X1] : X0 = double_divide(inverse(X0),multiply(inverse(X1),X1)),
inference(paramodulation,[status(thm)],[f147,f189]) ).
fof(f437,plain,
! [X0,X1,X2] : double_divide(X0,multiply(multiply(multiply(inverse(X1),X1),inverse(X2)),inverse(X0))) = X2,
inference(paramodulation,[status(thm)],[f366,f8]) ).
fof(f438,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),inverse(X1)) = inverse(X1),
inference(paramodulation,[status(thm)],[f366,f5]) ).
fof(f439,plain,
! [X0,X1] : double_divide(X0,multiply(inverse(X1),inverse(X0))) = X1,
inference(backward_demodulation,[status(thm)],[f438,f437]) ).
fof(f448,plain,
! [X0] : X0 = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f366,f439]) ).
fof(f530,plain,
! [X0,X1] : multiply(X0,double_divide(X1,inverse(X1))) = inverse(inverse(X0)),
inference(paramodulation,[status(thm)],[f448,f165]) ).
fof(f531,plain,
! [X0,X1] : multiply(X0,double_divide(X1,inverse(X1))) = X0,
inference(forward_demodulation,[status(thm)],[f448,f530]) ).
fof(f534,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = inverse(inverse(X1)),
inference(paramodulation,[status(thm)],[f448,f113]) ).
fof(f535,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X1),X0) = X1,
inference(forward_demodulation,[status(thm)],[f448,f534]) ).
fof(f604,plain,
! [X0,X1] : multiply(inverse(double_divide(X0,inverse(X0))),X1) = X1,
inference(paramodulation,[status(thm)],[f531,f535]) ).
fof(f605,plain,
! [X0,X1] : multiply(multiply(inverse(X0),X0),X1) = X1,
inference(forward_demodulation,[status(thm)],[f5,f604]) ).
fof(f611,plain,
a2 != a2,
inference(backward_demodulation,[status(thm)],[f605,f6]) ).
fof(f612,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f611]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.11 % Problem : GRP598-1 : TPTP v8.1.2. Released v2.6.0.
% 0.10/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n013.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 11:28:20 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.17/0.41 % Refutation found
% 0.17/0.41 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.17/0.41 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.17/0.42 % Elapsed time: 0.100125 seconds
% 0.17/0.42 % CPU time: 0.300747 seconds
% 0.17/0.42 % Memory used: 8.174 MB
%------------------------------------------------------------------------------