TSTP Solution File: NUM423+3 by Drodi---3.5.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM423+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n023.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 12:29:04 EDT 2023
% Result : Theorem 0.18s 0.34s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 7
% Syntax : Number of formulae : 33 ( 12 unt; 0 def)
% Number of atoms : 67 ( 31 equ)
% Maximal formula atoms : 4 ( 2 avg)
% Number of connectives : 58 ( 24 ~; 18 |; 12 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 5 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 3 con; 0-2 aty)
% Number of variables : 20 (; 18 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [W0] :
( aInteger0(W0)
=> aInteger0(smndt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [W0] :
( aInteger0(W0)
=> ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [W0] :
( aInteger0(W0)
=> ( sdtpldt0(W0,smndt0(W0)) = sz00
& sz00 = sdtpldt0(smndt0(W0),W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [W0] :
( aInteger0(W0)
=> ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,hypothesis,
( aInteger0(xa)
& aInteger0(xq)
& xq != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f21,conjecture,
( ? [W0] :
( aInteger0(W0)
& sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(xa,xa,xq) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f22,negated_conjecture,
~ ( ? [W0] :
( aInteger0(W0)
& sdtasdt0(xq,W0) = sdtpldt0(xa,smndt0(xa)) )
| aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
| sdteqdtlpzmzozddtrp0(xa,xa,xq) ),
inference(negated_conjecture,[status(cth)],[f21]) ).
fof(f26,plain,
aInteger0(sz00),
inference(cnf_transformation,[status(esa)],[f2]) ).
fof(f28,plain,
! [W0] :
( ~ aInteger0(W0)
| aInteger0(smndt0(W0)) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f29,plain,
! [X0] :
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(cnf_transformation,[status(esa)],[f28]) ).
fof(f38,plain,
! [W0] :
( ~ aInteger0(W0)
| ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f39,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[status(esa)],[f38]) ).
fof(f41,plain,
! [W0] :
( ~ aInteger0(W0)
| ( sdtpldt0(W0,smndt0(W0)) = sz00
& sz00 = sdtpldt0(smndt0(W0),W0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f42,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(X0)) = sz00 ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f43,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f41]) ).
fof(f54,plain,
! [W0] :
( ~ aInteger0(W0)
| ( sdtasdt0(W0,sz00) = sz00
& sz00 = sdtasdt0(sz00,W0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f15]) ).
fof(f55,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(X0,sz00) = sz00 ),
inference(cnf_transformation,[status(esa)],[f54]) ).
fof(f75,plain,
aInteger0(xa),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f76,plain,
aInteger0(xq),
inference(cnf_transformation,[status(esa)],[f20]) ).
fof(f78,plain,
( ! [W0] :
( ~ aInteger0(W0)
| sdtasdt0(xq,W0) != sdtpldt0(xa,smndt0(xa)) )
& ~ aDivisorOf0(xq,sdtpldt0(xa,smndt0(xa)))
& ~ sdteqdtlpzmzozddtrp0(xa,xa,xq) ),
inference(pre_NNF_transformation,[status(esa)],[f22]) ).
fof(f79,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,X0) != sdtpldt0(xa,smndt0(xa)) ),
inference(cnf_transformation,[status(esa)],[f78]) ).
fof(f85,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,smndt0(X0)) != sdtpldt0(xa,smndt0(xa)) ),
inference(resolution,[status(thm)],[f29,f79]) ).
fof(f89,plain,
sdtpldt0(xa,smndt0(xa)) = sz00,
inference(resolution,[status(thm)],[f42,f75]) ).
fof(f123,plain,
! [X0] :
( sdtpldt0(smndt0(X0),sz00) = smndt0(X0)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f39,f29]) ).
fof(f200,plain,
sz00 = sdtpldt0(smndt0(sz00),sz00),
inference(resolution,[status(thm)],[f43,f26]) ).
fof(f436,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtasdt0(xq,smndt0(X0)) != sz00 ),
inference(forward_demodulation,[status(thm)],[f89,f85]) ).
fof(f438,plain,
sdtasdt0(xq,smndt0(sz00)) != sz00,
inference(resolution,[status(thm)],[f436,f26]) ).
fof(f477,plain,
sdtpldt0(smndt0(sz00),sz00) = smndt0(sz00),
inference(resolution,[status(thm)],[f123,f26]) ).
fof(f478,plain,
sz00 = smndt0(sz00),
inference(forward_demodulation,[status(thm)],[f200,f477]) ).
fof(f491,plain,
sdtasdt0(xq,sz00) != sz00,
inference(backward_demodulation,[status(thm)],[f478,f438]) ).
fof(f569,plain,
sdtasdt0(xq,sz00) = sz00,
inference(resolution,[status(thm)],[f55,f76]) ).
fof(f570,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f569,f491]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM423+3 : TPTP v8.1.2. Released v4.0.0.
% 0.13/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.32 % Computer : n023.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.32 % CPULimit : 300
% 0.13/0.32 % WCLimit : 300
% 0.13/0.32 % DateTime : Tue May 30 10:09:38 EDT 2023
% 0.13/0.32 % CPUTime :
% 0.13/0.33 % Drodi V3.5.1
% 0.18/0.34 % Refutation found
% 0.18/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.18/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.18/0.36 % Elapsed time: 0.030123 seconds
% 0.18/0.36 % CPU time: 0.079837 seconds
% 0.18/0.36 % Memory used: 10.863 MB
%------------------------------------------------------------------------------