TSTP Solution File: NUM578+1 by Drodi---3.5.1
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%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM578+1 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n007.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 12:29:47 EDT 2023
% Result : Theorem 0.11s 0.34s
% Output : CNFRefutation 0.11s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 8
% Syntax : Number of formulae : 32 ( 8 unt; 0 def)
% Number of atoms : 81 ( 17 equ)
% Maximal formula atoms : 7 ( 2 avg)
% Number of connectives : 84 ( 35 ~; 27 |; 8 &)
% ( 5 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 6 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 8 (; 8 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f84,hypothesis,
( aElementOf0(xi,szNzAzT0)
& aElementOf0(xj,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f85,hypothesis,
( xi != xj
=> ( sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f86,conjecture,
( ! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(W0),W1)
=> ( aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& szmzizndt0(sdtlpdtrp0(xN,W1)) != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
=> ( xi != xj
=> szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f87,negated_conjecture,
~ ( ! [W0,W1] :
( ( aElementOf0(W0,szNzAzT0)
& aElementOf0(W1,szNzAzT0) )
=> ( sdtlseqdt0(szszuzczcdt0(W0),W1)
=> ( aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& szmzizndt0(sdtlpdtrp0(xN,W1)) != szmzizndt0(sdtlpdtrp0(xN,W0)) ) ) )
=> ( xi != xj
=> szmzizndt0(sdtlpdtrp0(xN,xi)) != szmzizndt0(sdtlpdtrp0(xN,xj)) ) ),
inference(negated_conjecture,[status(cth)],[f86]) ).
fof(f373,plain,
aElementOf0(xi,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f84]) ).
fof(f374,plain,
aElementOf0(xj,szNzAzT0),
inference(cnf_transformation,[status(esa)],[f84]) ).
fof(f375,plain,
( xi = xj
| sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(pre_NNF_transformation,[status(esa)],[f85]) ).
fof(f376,plain,
( xi = xj
| sdtlseqdt0(szszuzczcdt0(xj),xi)
| sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(cnf_transformation,[status(esa)],[f375]) ).
fof(f377,plain,
( ! [W0,W1] :
( ~ aElementOf0(W0,szNzAzT0)
| ~ aElementOf0(W1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(W0),W1)
| ( aSubsetOf0(sdtlpdtrp0(xN,W1),sdtmndt0(sdtlpdtrp0(xN,W0),szmzizndt0(sdtlpdtrp0(xN,W0))))
& szmzizndt0(sdtlpdtrp0(xN,W1)) != szmzizndt0(sdtlpdtrp0(xN,W0)) ) )
& xi != xj
& szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)) ),
inference(pre_NNF_transformation,[status(esa)],[f87]) ).
fof(f379,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| szmzizndt0(sdtlpdtrp0(xN,X1)) != szmzizndt0(sdtlpdtrp0(xN,X0)) ),
inference(cnf_transformation,[status(esa)],[f377]) ).
fof(f380,plain,
xi != xj,
inference(cnf_transformation,[status(esa)],[f377]) ).
fof(f381,plain,
szmzizndt0(sdtlpdtrp0(xN,xi)) = szmzizndt0(sdtlpdtrp0(xN,xj)),
inference(cnf_transformation,[status(esa)],[f377]) ).
fof(f388,plain,
( spl0_0
<=> xi = xj ),
introduced(split_symbol_definition) ).
fof(f389,plain,
( xi = xj
| ~ spl0_0 ),
inference(component_clause,[status(thm)],[f388]) ).
fof(f391,plain,
( spl0_1
<=> sdtlseqdt0(szszuzczcdt0(xj),xi) ),
introduced(split_symbol_definition) ).
fof(f394,plain,
( spl0_2
<=> sdtlseqdt0(szszuzczcdt0(xi),xj) ),
introduced(split_symbol_definition) ).
fof(f397,plain,
( spl0_0
| spl0_1
| spl0_2 ),
inference(split_clause,[status(thm)],[f376,f388,f391,f394]) ).
fof(f439,plain,
( spl0_3
<=> aElementOf0(xj,szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f441,plain,
( ~ aElementOf0(xj,szNzAzT0)
| spl0_3 ),
inference(component_clause,[status(thm)],[f439]) ).
fof(f442,plain,
( spl0_4
<=> aElementOf0(xi,szNzAzT0) ),
introduced(split_symbol_definition) ).
fof(f444,plain,
( ~ aElementOf0(xi,szNzAzT0)
| spl0_4 ),
inference(component_clause,[status(thm)],[f442]) ).
fof(f445,plain,
( ~ aElementOf0(xj,szNzAzT0)
| ~ aElementOf0(xi,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xj),xi) ),
inference(resolution,[status(thm)],[f379,f381]) ).
fof(f446,plain,
( ~ spl0_3
| ~ spl0_4
| ~ spl0_1 ),
inference(split_clause,[status(thm)],[f445,f439,f442,f391]) ).
fof(f447,plain,
( ~ aElementOf0(xi,szNzAzT0)
| ~ aElementOf0(xj,szNzAzT0)
| ~ sdtlseqdt0(szszuzczcdt0(xi),xj) ),
inference(resolution,[status(thm)],[f379,f381]) ).
fof(f448,plain,
( ~ spl0_4
| ~ spl0_3
| ~ spl0_2 ),
inference(split_clause,[status(thm)],[f447,f442,f439,f394]) ).
fof(f461,plain,
( $false
| ~ spl0_0 ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f380]) ).
fof(f462,plain,
~ spl0_0,
inference(contradiction_clause,[status(thm)],[f461]) ).
fof(f549,plain,
( $false
| spl0_4 ),
inference(forward_subsumption_resolution,[status(thm)],[f444,f373]) ).
fof(f550,plain,
spl0_4,
inference(contradiction_clause,[status(thm)],[f549]) ).
fof(f551,plain,
( $false
| spl0_3 ),
inference(forward_subsumption_resolution,[status(thm)],[f441,f374]) ).
fof(f552,plain,
spl0_3,
inference(contradiction_clause,[status(thm)],[f551]) ).
fof(f553,plain,
$false,
inference(sat_refutation,[status(thm)],[f397,f446,f448,f462,f550,f552]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : NUM578+1 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.31 % Computer : n007.cluster.edu
% 0.11/0.31 % Model : x86_64 x86_64
% 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.31 % Memory : 8042.1875MB
% 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.31 % CPULimit : 300
% 0.11/0.31 % WCLimit : 300
% 0.11/0.31 % DateTime : Tue May 30 09:42:32 EDT 2023
% 0.11/0.31 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.11/0.34 % Refutation found
% 0.11/0.34 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.34 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.11/0.35 % Elapsed time: 0.034512 seconds
% 0.11/0.35 % CPU time: 0.054204 seconds
% 0.11/0.35 % Memory used: 16.112 MB
%------------------------------------------------------------------------------