TSTP Solution File: GRP656-10 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : GRP656-10 : TPTP v8.1.2. Released v8.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n010.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 12:12:28 EDT 2023
% Result : Unsatisfiable 0.15s 0.34s
% Output : CNFRefutation 0.15s
% Verified :
% SZS Type : Refutation
% Derivation depth : 11
% Number of leaves : 6
% Syntax : Number of formulae : 27 ( 27 unt; 0 def)
% Number of atoms : 27 ( 26 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 0 con; 1-2 aty)
% Number of variables : 54 (; 54 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [A,B] : mult(A,ld(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [A,B] : ld(A,mult(A,B)) = B,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [A,B] : mult(rd(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [A,B] : rd(mult(A,B),B) = A,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [A,B,C] : mult(mult(A,B),mult(C,A)) = mult(mult(A,mult(B,C)),A),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,negated_conjecture,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,plain,
! [X0,X1] : mult(X0,ld(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f8,plain,
! [X0,X1] : ld(X0,mult(X0,X1)) = X1,
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f9,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f10,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = X0,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f11,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(X2,X0)) = mult(mult(X0,mult(X1,X2)),X0),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f12,plain,
! [X0] : tuple(mult(X0,x1(X0)),mult(x1_2(X0),X0)) != tuple(x1(X0),x1_2(X0)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f21,plain,
! [X0,X1,X2] : mult(mult(X0,rd(X1,X2)),mult(X2,X0)) = mult(mult(X0,X1),X0),
inference(paramodulation,[status(thm)],[f9,f11]) ).
fof(f22,plain,
! [X0,X1,X2] : mult(mult(X0,X1),mult(ld(X1,X2),X0)) = mult(mult(X0,X2),X0),
inference(paramodulation,[status(thm)],[f7,f11]) ).
fof(f34,plain,
! [X0,X1,X2] : mult(mult(ld(X0,X1),rd(X2,X0)),X1) = mult(mult(ld(X0,X1),X2),ld(X0,X1)),
inference(paramodulation,[status(thm)],[f7,f21]) ).
fof(f61,plain,
! [X0,X1,X2] : mult(X0,mult(ld(X1,X2),rd(X0,X1))) = mult(mult(rd(X0,X1),X2),rd(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f22]) ).
fof(f279,plain,
! [X0,X1] : mult(X0,mult(ld(X1,X1),rd(X0,X1))) = mult(X0,rd(X0,X1)),
inference(paramodulation,[status(thm)],[f9,f61]) ).
fof(f367,plain,
! [X0,X1] : ld(X0,mult(X0,rd(X0,X1))) = mult(ld(X1,X1),rd(X0,X1)),
inference(paramodulation,[status(thm)],[f279,f8]) ).
fof(f368,plain,
! [X0,X1] : rd(X0,X1) = mult(ld(X1,X1),rd(X0,X1)),
inference(forward_demodulation,[status(thm)],[f8,f367]) ).
fof(f391,plain,
! [X0,X1] : rd(mult(X0,X1),X1) = mult(ld(X1,X1),X0),
inference(paramodulation,[status(thm)],[f10,f368]) ).
fof(f392,plain,
! [X0,X1] : X0 = mult(ld(X1,X1),X0),
inference(forward_demodulation,[status(thm)],[f10,f391]) ).
fof(f395,plain,
! [X0,X1] : mult(rd(X0,X1),X1) = mult(mult(ld(X1,X1),X0),ld(X1,X1)),
inference(paramodulation,[status(thm)],[f368,f34]) ).
fof(f396,plain,
! [X0,X1] : X0 = mult(mult(ld(X1,X1),X0),ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f9,f395]) ).
fof(f397,plain,
! [X0,X1] : X0 = mult(X0,ld(X1,X1)),
inference(forward_demodulation,[status(thm)],[f392,f396]) ).
fof(f443,plain,
! [X0] : tuple(x1(ld(X0,X0)),mult(x1_2(ld(X0,X0)),ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(paramodulation,[status(thm)],[f392,f12]) ).
fof(f444,plain,
! [X0] : tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))) != tuple(x1(ld(X0,X0)),x1_2(ld(X0,X0))),
inference(forward_demodulation,[status(thm)],[f397,f443]) ).
fof(f445,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f444]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.02/0.10 % Problem : GRP656-10 : TPTP v8.1.2. Released v8.1.0.
% 0.02/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n010.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 : Tue May 30 11:16:52 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 0.15/0.34 % Refutation found
% 0.15/0.34 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.15/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.15/0.36 % Elapsed time: 0.044696 seconds
% 0.15/0.36 % CPU time: 0.068032 seconds
% 0.15/0.36 % Memory used: 2.675 MB
%------------------------------------------------------------------------------