TSTP Solution File: ALG003-1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : ALG003-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n003.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 20:08:54 EDT 2024
% Result : Unsatisfiable 2.63s 0.68s
% Output : CNFRefutation 2.63s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 3
% Syntax : Number of formulae : 19 ( 13 unt; 0 def)
% Number of atoms : 28 ( 27 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 26 ( 17 ~; 9 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 6 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 6 con; 0-2 aty)
% Number of variables : 63 ( 63 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
! [X,Y,Z,U] :
( multiply(X,Y) != Z
| multiply(X,U) != Z
| Y = U ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y,Z,U] : multiply(multiply(X,Y),multiply(Z,U)) = multiply(multiply(X,Z),multiply(Y,U)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)) != multiply(multiply(a,multiply(b,c)),multiply(multiply(d,e),f)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,plain,
! [Y,U] :
( ! [X,Z] :
( multiply(X,Y) != Z
| multiply(X,U) != Z )
| Y = U ),
inference(miniscoping,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1,X2,X3] :
( multiply(X0,X1) != X2
| multiply(X0,X3) != X2
| X1 = X3 ),
inference(cnf_transformation,[status(esa)],[f8]) ).
fof(f10,plain,
! [X0,X1,X2,X3] : multiply(multiply(X0,X1),multiply(X2,X3)) = multiply(multiply(X0,X2),multiply(X1,X3)),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f12,plain,
multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)) != multiply(multiply(a,multiply(b,c)),multiply(multiply(d,e),f)),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f14,plain,
! [X0,X1,X2] :
( multiply(X0,X1) != multiply(X0,X2)
| X2 = X1 ),
inference(destructive_equality_resolution,[status(esa)],[f9]) ).
fof(f15,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(multiply(X0,X1),multiply(X2,X3)),multiply(X4,X5)) = multiply(multiply(multiply(X0,X2),X4),multiply(multiply(X1,X3),X5)),
inference(paramodulation,[status(thm)],[f10,f10]) ).
fof(f17,plain,
! [X0,X1,X2,X3,X4,X5] : multiply(multiply(X0,X1),multiply(multiply(X2,X3),multiply(X4,X5))) = multiply(multiply(X0,multiply(X2,X4)),multiply(X1,multiply(X3,X5))),
inference(paramodulation,[status(thm)],[f10,f10]) ).
fof(f23,plain,
multiply(multiply(a,multiply(d,c)),multiply(multiply(b,e),f)) != multiply(multiply(a,multiply(d,e)),multiply(multiply(b,c),f)),
inference(paramodulation,[status(thm)],[f10,f12]) ).
fof(f24,plain,
! [X0,X1,X2,X3,X4] :
( multiply(multiply(X0,X1),X2) != multiply(multiply(X0,X3),multiply(X1,X4))
| multiply(X3,X4) = X2 ),
inference(paramodulation,[status(thm)],[f10,f14]) ).
fof(f33,plain,
! [X0,X1,X2,X3,X4,X5] :
( multiply(multiply(X0,X1),multiply(X2,X3)) != multiply(multiply(X0,X4),multiply(X2,X5))
| multiply(X4,X5) = multiply(X1,X3) ),
inference(paramodulation,[status(thm)],[f10,f24]) ).
fof(f53,plain,
! [X0,X1] : multiply(multiply(X0,multiply(a,multiply(d,e))),multiply(X1,multiply(multiply(b,c),f))) != multiply(multiply(X0,multiply(a,multiply(d,c))),multiply(X1,multiply(multiply(b,e),f))),
inference(resolution,[status(thm)],[f33,f23]) ).
fof(f540,plain,
! [X0,X1,X2] : multiply(multiply(multiply(X0,a),X1),multiply(multiply(X2,multiply(d,e)),multiply(multiply(b,c),f))) != multiply(multiply(multiply(X0,X2),multiply(a,multiply(d,c))),multiply(X1,multiply(multiply(b,e),f))),
inference(paramodulation,[status(thm)],[f15,f53]) ).
fof(f712,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,a),X1),multiply(multiply(multiply(X2,b),multiply(X3,c)),multiply(multiply(d,e),f))) != multiply(multiply(multiply(X0,multiply(X2,X3)),multiply(a,multiply(d,c))),multiply(X1,multiply(multiply(b,e),f))),
inference(paramodulation,[status(thm)],[f15,f540]) ).
fof(f713,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,a),X1),multiply(multiply(multiply(X2,d),multiply(b,e)),multiply(multiply(X3,c),f))) != multiply(multiply(multiply(X0,multiply(X2,X3)),multiply(a,multiply(d,c))),multiply(X1,multiply(multiply(b,e),f))),
inference(forward_demodulation,[status(thm)],[f15,f712]) ).
fof(f714,plain,
! [X0,X1,X2,X3] : multiply(multiply(multiply(X0,a),X1),multiply(multiply(multiply(X2,d),multiply(b,e)),multiply(multiply(X3,c),f))) != multiply(multiply(multiply(X0,a),multiply(multiply(X2,d),multiply(X3,c))),multiply(X1,multiply(multiply(b,e),f))),
inference(forward_demodulation,[status(thm)],[f17,f713]) ).
fof(f715,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f714,f17]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.10 % Problem : ALG003-1 : TPTP v8.1.2. Bugfixed v2.5.0.
% 0.09/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n003.cluster.edu
% 0.10/0.31 % Model : x86_64 x86_64
% 0.10/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31 % Memory : 8042.1875MB
% 0.10/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31 % CPULimit : 300
% 0.10/0.31 % WCLimit : 300
% 0.10/0.31 % DateTime : Mon Apr 29 23:34:33 EDT 2024
% 0.10/0.31 % CPUTime :
% 0.16/0.32 % Drodi V3.6.0
% 2.63/0.68 % Refutation found
% 2.63/0.68 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 2.63/0.68 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.63/0.70 % Elapsed time: 0.381771 seconds
% 2.63/0.70 % CPU time: 2.898862 seconds
% 2.63/0.70 % Total memory used: 89.952 MB
% 2.63/0.70 % Net memory used: 89.526 MB
%------------------------------------------------------------------------------