TSTP Solution File: NUM855+1 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM855+1 : TPTP v8.1.2. Released v4.1.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:30:51 EDT 2023
% Result : Theorem 1.69s 0.72s
% Output : CNFRefutation 1.69s
% Verified :
% SZS Type : Refutation
% Derivation depth : 7
% Number of leaves : 8
% Syntax : Number of formulae : 27 ( 17 unt; 0 def)
% Number of atoms : 42 ( 6 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 31 ( 16 ~; 12 |; 1 &)
% ( 0 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 8 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 1 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-2 aty)
% Number of variables : 36 (; 36 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,conjecture,
greater(vmul(vd508,vd511),vmul(vd509,vd512)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f2,negated_conjecture,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(negated_conjecture,[status(cth)],[f1]) ).
fof(f3,axiom,
vmul(vd512,vd509) = vmul(vd509,vd512),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
vmul(vd509,vd511) = vmul(vd511,vd509),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f26,axiom,
! [Vd337,Vd338,Vd340,Vd341] :
( ( greater(Vd340,Vd341)
& greater(Vd337,Vd338) )
=> greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f29,axiom,
! [Vd328,Vd329,Vd330] :
( greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))
=> greater(Vd328,Vd329) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f55,axiom,
! [Vd78,Vd79] : vplus(Vd79,Vd78) = vplus(Vd78,Vd79),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f65,plain,
~ greater(vmul(vd508,vd511),vmul(vd509,vd512)),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f66,plain,
vmul(vd512,vd509) = vmul(vd509,vd512),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f67,plain,
greater(vmul(vd511,vd509),vmul(vd512,vd509)),
inference(cnf_transformation,[status(esa)],[f4]) ).
fof(f68,plain,
vmul(vd509,vd511) = vmul(vd511,vd509),
inference(cnf_transformation,[status(esa)],[f5]) ).
fof(f69,plain,
greater(vmul(vd508,vd511),vmul(vd509,vd511)),
inference(cnf_transformation,[status(esa)],[f6]) ).
fof(f108,plain,
! [Vd337,Vd338,Vd340,Vd341] :
( ~ greater(Vd340,Vd341)
| ~ greater(Vd337,Vd338)
| greater(vplus(Vd337,Vd340),vplus(Vd338,Vd341)) ),
inference(pre_NNF_transformation,[status(esa)],[f26]) ).
fof(f109,plain,
! [X0,X1,X2,X3] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| greater(vplus(X2,X0),vplus(X3,X1)) ),
inference(cnf_transformation,[status(esa)],[f108]) ).
fof(f116,plain,
! [Vd328,Vd329,Vd330] :
( ~ greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))
| greater(Vd328,Vd329) ),
inference(pre_NNF_transformation,[status(esa)],[f29]) ).
fof(f117,plain,
! [Vd328,Vd329] :
( ! [Vd330] : ~ greater(vplus(Vd328,Vd330),vplus(Vd329,Vd330))
| greater(Vd328,Vd329) ),
inference(miniscoping,[status(esa)],[f116]) ).
fof(f118,plain,
! [X0,X1,X2] :
( ~ greater(vplus(X0,X1),vplus(X2,X1))
| greater(X0,X2) ),
inference(cnf_transformation,[status(esa)],[f117]) ).
fof(f182,plain,
! [X0,X1] : vplus(X0,X1) = vplus(X1,X0),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f197,plain,
greater(vmul(vd511,vd509),vmul(vd509,vd512)),
inference(forward_demodulation,[status(thm)],[f66,f67]) ).
fof(f198,plain,
greater(vmul(vd508,vd511),vmul(vd511,vd509)),
inference(forward_demodulation,[status(thm)],[f68,f69]) ).
fof(f352,plain,
! [X0,X1,X2,X3] :
( ~ greater(X0,X1)
| ~ greater(X2,X3)
| greater(vplus(X2,X0),vplus(X1,X3)) ),
inference(paramodulation,[status(thm)],[f182,f109]) ).
fof(f994,plain,
! [X0,X1,X2] :
( ~ greater(X0,X1)
| ~ greater(X2,X0)
| greater(X2,X1) ),
inference(resolution,[status(thm)],[f352,f118]) ).
fof(f1025,plain,
! [X0] :
( ~ greater(X0,vmul(vd509,vd512))
| ~ greater(vmul(vd508,vd511),X0) ),
inference(resolution,[status(thm)],[f994,f65]) ).
fof(f1029,plain,
~ greater(vmul(vd511,vd509),vmul(vd509,vd512)),
inference(resolution,[status(thm)],[f1025,f198]) ).
fof(f1030,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f1029,f197]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10 % Problem : NUM855+1 : TPTP v8.1.2. Released v4.1.0.
% 0.05/0.11 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.10/0.31 % Computer : n005.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 09:55:36 EDT 2023
% 0.15/0.31 % CPUTime :
% 0.15/0.32 % Drodi V3.5.1
% 1.69/0.72 % Refutation found
% 1.69/0.72 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.69/0.72 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 1.93/0.73 % Elapsed time: 0.406782 seconds
% 1.93/0.73 % CPU time: 1.964060 seconds
% 1.93/0.73 % Memory used: 77.462 MB
%------------------------------------------------------------------------------