TSTP Solution File: ROB003-1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : ROB003-1 : TPTP v8.1.2. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n018.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 12:33:00 EDT 2023
% Result : Unsatisfiable 0.21s 0.39s
% Output : CNFRefutation 0.21s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 5
% Syntax : Number of formulae : 33 ( 33 unt; 0 def)
% Number of atoms : 33 ( 32 equ)
% Maximal formula atoms : 1 ( 1 avg)
% Number of connectives : 4 ( 4 ~; 0 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 4 ( 2 avg)
% Maximal term depth : 7 ( 2 avg)
% Number of predicates : 2 ( 0 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 3 con; 0-2 aty)
% Number of variables : 39 (; 39 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X,Y] : add(X,Y) = add(Y,X),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,axiom,
! [X,Y,Z] : add(add(X,Y),Z) = add(X,add(Y,Z)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
! [X,Y] : negate(add(negate(add(X,Y)),negate(add(X,negate(Y))))) = X,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,hypothesis,
! [X] : add(X,c) = c,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,negated_conjecture,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,plain,
! [X0,X1] : add(X0,X1) = add(X1,X0),
inference(cnf_transformation,[status(esa)],[f1]) ).
fof(f7,plain,
! [X0,X1,X2] : add(add(X0,X1),X2) = add(X0,add(X1,X2)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f8,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X0,negate(X1))))) = X0,
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f9,plain,
! [X0] : add(X0,c) = c,
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f10,plain,
add(negate(add(a,negate(b))),negate(add(negate(a),negate(b)))) != b,
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f24,plain,
! [X0] : add(c,X0) = c,
inference(paramodulation,[status(thm)],[f6,f9]) ).
fof(f40,plain,
! [X0] : negate(add(negate(c),negate(add(c,negate(X0))))) = c,
inference(paramodulation,[status(thm)],[f24,f8]) ).
fof(f41,plain,
negate(add(negate(c),negate(c))) = c,
inference(forward_demodulation,[status(thm)],[f24,f40]) ).
fof(f45,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(X1,negate(X0))))) = X1,
inference(paramodulation,[status(thm)],[f6,f8]) ).
fof(f56,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(negate(X1),X0)))) = X0,
inference(paramodulation,[status(thm)],[f6,f8]) ).
fof(f67,plain,
! [X0] : negate(add(negate(c),negate(add(negate(c),X0)))) = X0,
inference(paramodulation,[status(thm)],[f9,f56]) ).
fof(f68,plain,
! [X0,X1] : negate(add(negate(add(X0,X1)),negate(add(negate(X0),X1)))) = X1,
inference(paramodulation,[status(thm)],[f6,f56]) ).
fof(f215,plain,
! [X0] : negate(add(negate(add(add(negate(c),negate(c)),X0)),negate(add(X0,c)))) = X0,
inference(paramodulation,[status(thm)],[f41,f45]) ).
fof(f216,plain,
! [X0] : negate(add(negate(add(X0,c)),negate(add(add(negate(c),negate(c)),X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f6,f215]) ).
fof(f217,plain,
! [X0] : negate(add(negate(c),negate(add(add(negate(c),negate(c)),X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f9,f216]) ).
fof(f218,plain,
! [X0] : negate(add(negate(c),negate(add(negate(c),add(negate(c),X0))))) = X0,
inference(forward_demodulation,[status(thm)],[f7,f217]) ).
fof(f219,plain,
! [X0] : add(negate(c),X0) = X0,
inference(forward_demodulation,[status(thm)],[f67,f218]) ).
fof(f220,plain,
! [X0] : negate(add(negate(add(add(negate(c),negate(c)),X0)),negate(add(c,X0)))) = X0,
inference(paramodulation,[status(thm)],[f41,f68]) ).
fof(f221,plain,
! [X0] : negate(add(negate(add(c,X0)),negate(add(add(negate(c),negate(c)),X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f6,f220]) ).
fof(f222,plain,
! [X0] : negate(add(negate(c),negate(add(add(negate(c),negate(c)),X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f24,f221]) ).
fof(f223,plain,
! [X0] : negate(negate(add(add(negate(c),negate(c)),X0))) = X0,
inference(forward_demodulation,[status(thm)],[f219,f222]) ).
fof(f224,plain,
! [X0] : negate(negate(add(negate(c),add(negate(c),X0)))) = X0,
inference(forward_demodulation,[status(thm)],[f7,f223]) ).
fof(f225,plain,
! [X0] : negate(negate(add(negate(c),X0))) = X0,
inference(forward_demodulation,[status(thm)],[f219,f224]) ).
fof(f226,plain,
! [X0] : negate(negate(X0)) = X0,
inference(forward_demodulation,[status(thm)],[f219,f225]) ).
fof(f268,plain,
! [X0,X1] : negate(X0) = add(negate(add(X1,X0)),negate(add(negate(X1),X0))),
inference(paramodulation,[status(thm)],[f68,f226]) ).
fof(f280,plain,
negate(negate(b)) != b,
inference(backward_demodulation,[status(thm)],[f268,f10]) ).
fof(f281,plain,
b != b,
inference(forward_demodulation,[status(thm)],[f226,f280]) ).
fof(f282,plain,
$false,
inference(trivial_equality_resolution,[status(esa)],[f281]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ROB003-1 : TPTP v8.1.2. Released v1.0.0.
% 0.03/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.14/0.34 % Computer : n018.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Tue May 30 11:17:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.14/0.35 % Drodi V3.5.1
% 0.21/0.39 % Refutation found
% 0.21/0.39 % SZS status Unsatisfiable for theBenchmark: Theory is unsatisfiable
% 0.21/0.39 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.21/0.41 % Elapsed time: 0.055835 seconds
% 0.21/0.41 % CPU time: 0.336791 seconds
% 0.21/0.41 % Memory used: 3.812 MB
%------------------------------------------------------------------------------