TSTP Solution File: NUM630+1 by Drodi---3.6.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.6.0
% Problem : NUM630+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n012.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 20:35:25 EDT 2024
% Result : Theorem 0.13s 0.40s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 5
% Number of leaves : 9
% Syntax : Number of formulae : 30 ( 13 unt; 0 def)
% Number of atoms : 64 ( 14 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 52 ( 18 ~; 17 |; 12 &)
% ( 3 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 3 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 8 ( 6 usr; 4 prp; 0-2 aty)
% Number of functors : 20 ( 20 usr; 12 con; 0-2 aty)
% Number of variables : 6 ( 6 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f86,hypothesis,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [W0] :
( aElementOf0(W0,szNzAzT0)
=> ( aFunction0(sdtlpdtrp0(xC,W0))
& szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
& ! [W1] :
( ( aSet0(W1)
& aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)) )
=> sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f104,hypothesis,
( aSet0(xP)
& xP = sdtmndt0(xQ,szmzizndt0(xQ)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f111,hypothesis,
( aElementOf0(xn,sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(xn,szNzAzT0)
& sdtlpdtrp0(xe,xn) = xp ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f114,hypothesis,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f115,hypothesis,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f116,conjecture,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) = sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f117,negated_conjecture,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(negated_conjecture,[status(cth)],[f116]) ).
fof(f407,plain,
( aFunction0(xC)
& szDzozmdt0(xC) = szNzAzT0
& ! [W0] :
( ~ aElementOf0(W0,szNzAzT0)
| ( aFunction0(sdtlpdtrp0(xC,W0))
& szDzozmdt0(sdtlpdtrp0(xC,W0)) = slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk)
& ! [W1] :
( ~ aSet0(W1)
| ~ aElementOf0(W1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,W0),W1) = sdtlpdtrp0(xc,sdtpldt0(W1,szmzizndt0(sdtlpdtrp0(xN,W0)))) ) ) ) ),
inference(pre_NNF_transformation,[status(esa)],[f86]) ).
fof(f412,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSet0(X1)
| ~ aElementOf0(X1,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,X0),szmzizndt0(sdtlpdtrp0(xN,X0))),xk))
| sdtlpdtrp0(sdtlpdtrp0(xC,X0),X1) = sdtlpdtrp0(xc,sdtpldt0(X1,szmzizndt0(sdtlpdtrp0(xN,X0)))) ),
inference(cnf_transformation,[status(esa)],[f407]) ).
fof(f454,plain,
aSet0(xP),
inference(cnf_transformation,[status(esa)],[f104]) ).
fof(f463,plain,
aElementOf0(xn,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f111]) ).
fof(f467,plain,
xD = sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),
inference(cnf_transformation,[status(esa)],[f114]) ).
fof(f468,plain,
aElementOf0(xP,slbdtsldtrb0(xD,xk)),
inference(cnf_transformation,[status(esa)],[f115]) ).
fof(f469,plain,
sdtlpdtrp0(xc,sdtpldt0(xP,szmzizndt0(sdtlpdtrp0(xN,xn)))) != sdtlpdtrp0(sdtlpdtrp0(xC,xn),xP),
inference(cnf_transformation,[status(esa)],[f117]) ).
fof(f659,plain,
( spl0_24
<=> aElementOf0(xn,szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f661,plain,
( ~ aElementOf0(xn,szNzAzT0)
| spl0_24 ),
inference(component_clause,[status(thm)],[f659]) ).
fof(f662,plain,
( spl0_25
<=> aSet0(xP) ),
introduced(split_symbol_definition) ).
fof(f664,plain,
( ~ aSet0(xP)
| spl0_25 ),
inference(component_clause,[status(thm)],[f662]) ).
fof(f665,plain,
( spl0_26
<=> aElementOf0(xP,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk)) ),
introduced(split_symbol_definition) ).
fof(f667,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk))
| spl0_26 ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,plain,
( ~ aElementOf0(xn,szNzAzT0)
| ~ aSet0(xP)
| ~ aElementOf0(xP,slbdtsldtrb0(sdtmndt0(sdtlpdtrp0(xN,xn),szmzizndt0(sdtlpdtrp0(xN,xn))),xk)) ),
inference(resolution,[status(thm)],[f412,f469]) ).
fof(f669,plain,
( ~ spl0_24
| ~ spl0_25
| ~ spl0_26 ),
inference(split_clause,[status(thm)],[f668,f659,f662,f665]) ).
fof(f670,plain,
( ~ aElementOf0(xP,slbdtsldtrb0(xD,xk))
| spl0_26 ),
inference(forward_demodulation,[status(thm)],[f467,f667]) ).
fof(f671,plain,
( $false
| spl0_26 ),
inference(forward_subsumption_resolution,[status(thm)],[f670,f468]) ).
fof(f672,plain,
spl0_26,
inference(contradiction_clause,[status(thm)],[f671]) ).
fof(f673,plain,
( $false
| spl0_24 ),
inference(forward_subsumption_resolution,[status(thm)],[f661,f463]) ).
fof(f674,plain,
spl0_24,
inference(contradiction_clause,[status(thm)],[f673]) ).
fof(f676,plain,
( $false
| spl0_25 ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f454]) ).
fof(f677,plain,
spl0_25,
inference(contradiction_clause,[status(thm)],[f676]) ).
fof(f678,plain,
$false,
inference(sat_refutation,[status(thm)],[f669,f672,f674,f677]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.10 % Problem : NUM630+1 : TPTP v8.1.2. Released v4.0.0.
% 0.08/0.10 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.08/0.30 % Computer : n012.cluster.edu
% 0.08/0.30 % Model : x86_64 x86_64
% 0.08/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.30 % Memory : 8042.1875MB
% 0.08/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.30 % CPULimit : 300
% 0.08/0.30 % WCLimit : 300
% 0.08/0.30 % DateTime : Mon Apr 29 20:38:27 EDT 2024
% 0.08/0.30 % CPUTime :
% 0.13/0.32 % Drodi V3.6.0
% 0.13/0.40 % Refutation found
% 0.13/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.13/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.13/0.41 % Elapsed time: 0.096078 seconds
% 0.13/0.41 % CPU time: 0.634752 seconds
% 0.13/0.41 % Total memory used: 76.488 MB
% 0.13/0.41 % Net memory used: 76.020 MB
%------------------------------------------------------------------------------