TSTP Solution File: LAT382+3 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : LAT382+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n004.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 12:17:55 EDT 2023
% Result : Theorem 0.11s 0.33s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : Refutation
% Derivation depth : 8
% Number of leaves : 8
% Syntax : Number of formulae : 41 ( 17 unt; 0 def)
% Number of atoms : 141 ( 10 equ)
% Maximal formula atoms : 22 ( 3 avg)
% Number of connectives : 145 ( 45 ~; 42 |; 45 &)
% ( 3 <=>; 10 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 11 ( 9 usr; 4 prp; 0-3 aty)
% Number of functors : 6 ( 6 usr; 4 con; 0-1 aty)
% Number of variables : 32 (; 30 !; 2 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aElementOf0(W1,W0)
=> aElement0(W1) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [W0,W1] :
( ( aElement0(W0)
& aElement0(W1) )
=> ( ( sdtlseqdt0(W0,W1)
& sdtlseqdt0(W1,W0) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
aSet0(xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
( aElementOf0(xu,xT)
& aElementOf0(xu,xT)
& ! [W0] :
( aElementOf0(W0,xS)
=> sdtlseqdt0(xu,W0) )
& aLowerBoundOfIn0(xu,xS,xT)
& ! [W0] :
( ( ( aElementOf0(W0,xT)
& ! [W1] :
( aElementOf0(W1,xS)
=> sdtlseqdt0(W0,W1) ) )
| aLowerBoundOfIn0(W0,xS,xT) )
=> sdtlseqdt0(W0,xu) )
& aInfimumOfIn0(xu,xS,xT)
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& ! [W0] :
( aElementOf0(W0,xS)
=> sdtlseqdt0(xv,W0) )
& aLowerBoundOfIn0(xv,xS,xT)
& ! [W0] :
( ( ( aElementOf0(W0,xT)
& ! [W1] :
( aElementOf0(W1,xS)
=> sdtlseqdt0(W0,W1) ) )
| aLowerBoundOfIn0(W0,xS,xT) )
=> sdtlseqdt0(W0,xv) )
& aInfimumOfIn0(xv,xS,xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f18,conjecture,
xu = xv,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f19,negated_conjecture,
xu != xv,
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f26,plain,
! [W0] :
( ~ aSet0(W0)
| ! [W1] :
( ~ aElementOf0(W1,W0)
| aElement0(W1) ) ),
inference(pre_NNF_transformation,[status(esa)],[f3]) ).
fof(f27,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aElementOf0(X1,X0)
| aElement0(X1) ),
inference(cnf_transformation,[status(esa)],[f26]) ).
fof(f45,plain,
! [W0,W1] :
( ~ aElement0(W0)
| ~ aElement0(W1)
| ~ sdtlseqdt0(W0,W1)
| ~ sdtlseqdt0(W1,W0)
| W0 = W1 ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f46,plain,
! [X0,X1] :
( ~ aElement0(X0)
| ~ aElement0(X1)
| ~ sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(X1,X0)
| X0 = X1 ),
inference(cnf_transformation,[status(esa)],[f45]) ).
fof(f85,plain,
aSet0(xT),
inference(cnf_transformation,[status(esa)],[f15]) ).
fof(f90,plain,
( aElementOf0(xu,xT)
& aElementOf0(xu,xT)
& ! [W0] :
( ~ aElementOf0(W0,xS)
| sdtlseqdt0(xu,W0) )
& aLowerBoundOfIn0(xu,xS,xT)
& ! [W0] :
( ( ( ~ aElementOf0(W0,xT)
| ? [W1] :
( aElementOf0(W1,xS)
& ~ sdtlseqdt0(W0,W1) ) )
& ~ aLowerBoundOfIn0(W0,xS,xT) )
| sdtlseqdt0(W0,xu) )
& aInfimumOfIn0(xu,xS,xT)
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& ! [W0] :
( ~ aElementOf0(W0,xS)
| sdtlseqdt0(xv,W0) )
& aLowerBoundOfIn0(xv,xS,xT)
& ! [W0] :
( ( ( ~ aElementOf0(W0,xT)
| ? [W1] :
( aElementOf0(W1,xS)
& ~ sdtlseqdt0(W0,W1) ) )
& ~ aLowerBoundOfIn0(W0,xS,xT) )
| sdtlseqdt0(W0,xv) )
& aInfimumOfIn0(xv,xS,xT) ),
inference(pre_NNF_transformation,[status(esa)],[f17]) ).
fof(f91,plain,
( aElementOf0(xu,xT)
& aElementOf0(xu,xT)
& ! [W0] :
( ~ aElementOf0(W0,xS)
| sdtlseqdt0(xu,W0) )
& aLowerBoundOfIn0(xu,xS,xT)
& ! [W0] :
( ( ( ~ aElementOf0(W0,xT)
| ( aElementOf0(sk0_6(W0),xS)
& ~ sdtlseqdt0(W0,sk0_6(W0)) ) )
& ~ aLowerBoundOfIn0(W0,xS,xT) )
| sdtlseqdt0(W0,xu) )
& aInfimumOfIn0(xu,xS,xT)
& aElementOf0(xv,xT)
& aElementOf0(xv,xT)
& ! [W0] :
( ~ aElementOf0(W0,xS)
| sdtlseqdt0(xv,W0) )
& aLowerBoundOfIn0(xv,xS,xT)
& ! [W0] :
( ( ( ~ aElementOf0(W0,xT)
| ( aElementOf0(sk0_7(W0),xS)
& ~ sdtlseqdt0(W0,sk0_7(W0)) ) )
& ~ aLowerBoundOfIn0(W0,xS,xT) )
| sdtlseqdt0(W0,xv) )
& aInfimumOfIn0(xv,xS,xT) ),
inference(skolemization,[status(esa)],[f90]) ).
fof(f92,plain,
aElementOf0(xu,xT),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f95,plain,
aLowerBoundOfIn0(xu,xS,xT),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f98,plain,
! [X0] :
( ~ aLowerBoundOfIn0(X0,xS,xT)
| sdtlseqdt0(X0,xu) ),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f100,plain,
aElementOf0(xv,xT),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f103,plain,
aLowerBoundOfIn0(xv,xS,xT),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f106,plain,
! [X0] :
( ~ aLowerBoundOfIn0(X0,xS,xT)
| sdtlseqdt0(X0,xv) ),
inference(cnf_transformation,[status(esa)],[f91]) ).
fof(f108,plain,
xu != xv,
inference(cnf_transformation,[status(esa)],[f19]) ).
fof(f109,plain,
sdtlseqdt0(xv,xu),
inference(resolution,[status(thm)],[f98,f103]) ).
fof(f112,plain,
sdtlseqdt0(xu,xv),
inference(resolution,[status(thm)],[f106,f95]) ).
fof(f113,plain,
! [X0] :
( ~ aElementOf0(X0,xT)
| aElement0(X0) ),
inference(resolution,[status(thm)],[f27,f85]) ).
fof(f115,plain,
aElement0(xv),
inference(resolution,[status(thm)],[f113,f100]) ).
fof(f116,plain,
aElement0(xu),
inference(resolution,[status(thm)],[f113,f92]) ).
fof(f150,plain,
! [X0] :
( ~ aElement0(X0)
| ~ sdtlseqdt0(X0,xu)
| ~ sdtlseqdt0(xu,X0)
| X0 = xu ),
inference(resolution,[status(thm)],[f46,f116]) ).
fof(f186,plain,
( spl0_12
<=> sdtlseqdt0(xv,xu) ),
introduced(split_symbol_definition) ).
fof(f188,plain,
( ~ sdtlseqdt0(xv,xu)
| spl0_12 ),
inference(component_clause,[status(thm)],[f186]) ).
fof(f189,plain,
( spl0_13
<=> sdtlseqdt0(xu,xv) ),
introduced(split_symbol_definition) ).
fof(f191,plain,
( ~ sdtlseqdt0(xu,xv)
| spl0_13 ),
inference(component_clause,[status(thm)],[f189]) ).
fof(f192,plain,
( spl0_14
<=> xv = xu ),
introduced(split_symbol_definition) ).
fof(f193,plain,
( xv = xu
| ~ spl0_14 ),
inference(component_clause,[status(thm)],[f192]) ).
fof(f195,plain,
( ~ sdtlseqdt0(xv,xu)
| ~ sdtlseqdt0(xu,xv)
| xv = xu ),
inference(resolution,[status(thm)],[f150,f115]) ).
fof(f196,plain,
( ~ spl0_12
| ~ spl0_13
| spl0_14 ),
inference(split_clause,[status(thm)],[f195,f186,f189,f192]) ).
fof(f199,plain,
( $false
| spl0_13 ),
inference(forward_subsumption_resolution,[status(thm)],[f191,f112]) ).
fof(f200,plain,
spl0_13,
inference(contradiction_clause,[status(thm)],[f199]) ).
fof(f201,plain,
( $false
| spl0_12 ),
inference(forward_subsumption_resolution,[status(thm)],[f188,f109]) ).
fof(f202,plain,
spl0_12,
inference(contradiction_clause,[status(thm)],[f201]) ).
fof(f203,plain,
( $false
| ~ spl0_14 ),
inference(forward_subsumption_resolution,[status(thm)],[f193,f108]) ).
fof(f204,plain,
~ spl0_14,
inference(contradiction_clause,[status(thm)],[f203]) ).
fof(f205,plain,
$false,
inference(sat_refutation,[status(thm)],[f196,f200,f202,f204]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : LAT382+3 : TPTP v8.1.2. Released v4.0.0.
% 0.03/0.12 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.11/0.32 % Computer : n004.cluster.edu
% 0.11/0.32 % Model : x86_64 x86_64
% 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.32 % Memory : 8042.1875MB
% 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.11/0.32 % CPULimit : 300
% 0.11/0.32 % WCLimit : 300
% 0.11/0.32 % DateTime : Tue May 30 09:19:07 EDT 2023
% 0.11/0.32 % CPUTime :
% 0.11/0.33 % Drodi V3.5.1
% 0.11/0.33 % Refutation found
% 0.11/0.33 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.11/0.33 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.16/0.55 % Elapsed time: 0.014908 seconds
% 0.16/0.55 % CPU time: 0.013862 seconds
% 0.16/0.55 % Memory used: 2.987 MB
%------------------------------------------------------------------------------