%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : LAT382+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n002.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Thu Sep 24 01:03:03 PM UTC 2026
% Result : Theorem 0.14s 0.40s
% Output : CNFRefutation 0.14s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 7
% Syntax : Number of formulae : 53 ( 19 unt; 1 def)
% Number of atoms : 159 ( 10 equ)
% Maximal formula atoms : 12 ( 3 avg)
% Number of connectives : 186 ( 80 ~; 78 |; 19 &)
% ( 2 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 7 usr; 1 prp; 0-3 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-3 aty)
% Number of variables : 52 ( 50 !; 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(W1)
& aElement0(W0) )
=> ( ( sdtlseqdt0(W1,W0)
& sdtlseqdt0(W0,W1) )
=> W0 = W1 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f12,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
=> ! [W2] :
( aInfimumOfIn0(W2,W1,W0)
<=> ( ! [W3] :
( aLowerBoundOfIn0(W3,W1,W0)
=> sdtlseqdt0(W3,W2) )
& aLowerBoundOfIn0(W2,W1,W0)
& aElementOf0(W2,W0) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f15,hypothesis,
aSet0(xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f16,hypothesis,
aSubsetOf0(xS,xT),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,hypothesis,
( aInfimumOfIn0(xv,xS,xT)
& aInfimumOfIn0(xu,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] :
( ! [W1] :
( aElement0(W1)
| ~ aElementOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f3]) ).
fof(f27,plain,
! [X0,X1] :
( aElement0(X1)
| ~ aElementOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f26]) ).
fof(f45,plain,
! [W0,W1] :
( W0 = W1
| ~ sdtlseqdt0(W1,W0)
| ~ sdtlseqdt0(W0,W1)
| ~ aElement0(W1)
| ~ aElement0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f46,plain,
! [X0,X1] :
( X0 = X1
| ~ sdtlseqdt0(X1,X0)
| ~ sdtlseqdt0(X0,X1)
| ~ aElement0(X1)
| ~ aElement0(X0) ),
inference(cnf_transformation,[status(thm)],[f45]) ).
fof(f65,plain,
! [W0] :
( ! [W1] :
( ! [W2] :
( aInfimumOfIn0(W2,W1,W0)
<=> ( ! [W3] :
( sdtlseqdt0(W3,W2)
| ~ aLowerBoundOfIn0(W3,W1,W0) )
& aLowerBoundOfIn0(W2,W1,W0)
& aElementOf0(W2,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f66,plain,
! [W0] :
( ! [W1] :
( ! [W2] :
( ( ? [W3] :
( ~ sdtlseqdt0(W3,W2)
& aLowerBoundOfIn0(W3,W1,W0) )
| ~ aLowerBoundOfIn0(W2,W1,W0)
| ~ aElementOf0(W2,W0)
| aInfimumOfIn0(W2,W1,W0) )
& ( ( ! [W3] :
( sdtlseqdt0(W3,W2)
| ~ aLowerBoundOfIn0(W3,W1,W0) )
& aLowerBoundOfIn0(W2,W1,W0)
& aElementOf0(W2,W0) )
| ~ aInfimumOfIn0(W2,W1,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f65]) ).
fof(f67,plain,
! [W0] :
( ! [W1] :
( ( ! [W2] :
( ? [W3] :
( ~ sdtlseqdt0(W3,W2)
& aLowerBoundOfIn0(W3,W1,W0) )
| ~ aLowerBoundOfIn0(W2,W1,W0)
| ~ aElementOf0(W2,W0)
| aInfimumOfIn0(W2,W1,W0) )
& ! [W2] :
( ( ! [W3] :
( sdtlseqdt0(W3,W2)
| ~ aLowerBoundOfIn0(W3,W1,W0) )
& aLowerBoundOfIn0(W2,W1,W0)
& aElementOf0(W2,W0) )
| ~ aInfimumOfIn0(W2,W1,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(miniscoping,[status(thm)],[f66]) ).
fof(f68,plain,
! [W0] :
( ! [W1] :
( ( ! [W2] :
( ( ~ sdtlseqdt0(sK4_skl(W2,W1,W0),W2)
& aLowerBoundOfIn0(sK4_skl(W2,W1,W0),W1,W0) )
| ~ aLowerBoundOfIn0(W2,W1,W0)
| ~ aElementOf0(W2,W0)
| aInfimumOfIn0(W2,W1,W0) )
& ! [W2] :
( ( ! [W3] :
( sdtlseqdt0(W3,W2)
| ~ aLowerBoundOfIn0(W3,W1,W0) )
& aLowerBoundOfIn0(W2,W1,W0)
& aElementOf0(W2,W0) )
| ~ aInfimumOfIn0(W2,W1,W0) ) )
| ~ aSubsetOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(W3,sK4_skl(W2,W1,W0))],[f67]) ).
fof(f69,plain,
! [X0,X1,X2] :
( aElementOf0(X2,X0)
| ~ aInfimumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
! [X0,X1,X2] :
( aLowerBoundOfIn0(X2,X1,X0)
| ~ aInfimumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f71,plain,
! [X0,X1,X2,X3] :
( sdtlseqdt0(X3,X2)
| ~ aLowerBoundOfIn0(X3,X1,X0)
| ~ aInfimumOfIn0(X2,X1,X0)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f85,plain,
aSet0(xT),
inference(cnf_transformation,[status(thm)],[f15]) ).
fof(f86,plain,
aSubsetOf0(xS,xT),
inference(cnf_transformation,[status(thm)],[f16]) ).
fof(f87,plain,
aInfimumOfIn0(xu,xS,xT),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f88,plain,
aInfimumOfIn0(xv,xS,xT),
inference(cnf_transformation,[status(thm)],[f17]) ).
fof(f89,plain,
xu != xv,
inference(cnf_transformation,[status(thm)],[f19]) ).
fof(f114,plain,
( aElementOf0(xv,xT)
| ~ aSubsetOf0(xS,xT)
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[f69,f88]) ).
fof(f115,plain,
( aElementOf0(xu,xT)
| ~ aSubsetOf0(xS,xT)
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[f69,f87]) ).
fof(f116,plain,
( aElementOf0(xv,xT)
| ~ aSubsetOf0(xS,xT) ),
inference(forward_subsumption_resolution,[status(thm)],[f114,f85]) ).
fof(f117,plain,
( aElementOf0(xu,xT)
| ~ aSubsetOf0(xS,xT) ),
inference(forward_subsumption_resolution,[status(thm)],[f115,f85]) ).
fof(f118,plain,
( aLowerBoundOfIn0(xv,xS,xT)
| ~ aSubsetOf0(xS,xT)
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[f70,f88]) ).
fof(f119,plain,
( aLowerBoundOfIn0(xu,xS,xT)
| ~ aSubsetOf0(xS,xT)
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[f70,f87]) ).
fof(f120,plain,
( aLowerBoundOfIn0(xv,xS,xT)
| ~ aSubsetOf0(xS,xT) ),
inference(forward_subsumption_resolution,[status(thm)],[f118,f85]) ).
fof(f121,plain,
( aLowerBoundOfIn0(xu,xS,xT)
| ~ aSubsetOf0(xS,xT) ),
inference(forward_subsumption_resolution,[status(thm)],[f119,f85]) ).
fof(f122,plain,
! [X0] :
( sdtlseqdt0(X0,xv)
| ~ aLowerBoundOfIn0(X0,xS,xT)
| ~ aSubsetOf0(xS,xT)
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[f71,f88]) ).
fof(f123,plain,
! [X0] :
( sdtlseqdt0(X0,xu)
| ~ aLowerBoundOfIn0(X0,xS,xT)
| ~ aSubsetOf0(xS,xT)
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[f71,f87]) ).
fof(f124,plain,
! [X0] :
( sdtlseqdt0(X0,xv)
| ~ aLowerBoundOfIn0(X0,xS,xT)
| ~ aSubsetOf0(xS,xT) ),
inference(forward_subsumption_resolution,[status(thm)],[f122,f85]) ).
fof(f125,plain,
! [X0] :
( sdtlseqdt0(X0,xu)
| ~ aLowerBoundOfIn0(X0,xS,xT)
| ~ aSubsetOf0(xS,xT) ),
inference(forward_subsumption_resolution,[status(thm)],[f123,f85]) ).
fof(f128,plain,
aElementOf0(xv,xT),
inference(forward_subsumption_resolution,[status(thm)],[f116,f86]) ).
fof(f131,plain,
( aElement0(xv)
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[f128,f27]) ).
fof(f133,plain,
aElement0(xv),
inference(forward_subsumption_resolution,[status(thm)],[f131,f85]) ).
fof(f134,plain,
aElementOf0(xu,xT),
inference(forward_subsumption_resolution,[status(thm)],[f117,f86]) ).
fof(f137,plain,
( aElement0(xu)
| ~ aSet0(xT) ),
inference(resolution,[status(thm)],[f134,f27]) ).
fof(f139,plain,
aElement0(xu),
inference(forward_subsumption_resolution,[status(thm)],[f137,f85]) ).
fof(f140,plain,
aLowerBoundOfIn0(xv,xS,xT),
inference(forward_subsumption_resolution,[status(thm)],[f120,f86]) ).
fof(f149,plain,
aLowerBoundOfIn0(xu,xS,xT),
inference(forward_subsumption_resolution,[status(thm)],[f121,f86]) ).
fof(f154,plain,
! [X0] :
( sdtlseqdt0(X0,xv)
| ~ aLowerBoundOfIn0(X0,xS,xT) ),
inference(forward_subsumption_resolution,[status(thm)],[f124,f86]) ).
fof(f155,plain,
sdtlseqdt0(xu,xv),
inference(resolution,[status(thm)],[f154,f149]) ).
fof(f157,plain,
! [X0] :
( sdtlseqdt0(X0,xu)
| ~ aLowerBoundOfIn0(X0,xS,xT) ),
inference(forward_subsumption_resolution,[status(thm)],[f125,f86]) ).
fof(f159,plain,
sdtlseqdt0(xv,xu),
inference(resolution,[status(thm)],[f157,f140]) ).
fof(f173,plain,
( xv = xu
| ~ sdtlseqdt0(xv,xu)
| ~ aElement0(xu)
| ~ aElement0(xv) ),
inference(resolution,[status(thm)],[f155,f46]) ).
fof(f175,plain,
( xv = xu
| ~ sdtlseqdt0(xv,xu)
| ~ aElement0(xu) ),
inference(forward_subsumption_resolution,[status(thm)],[f173,f133]) ).
fof(f245,plain,
( xv = xu
| ~ sdtlseqdt0(xv,xu) ),
inference(forward_subsumption_resolution,[status(thm)],[f175,f139]) ).
fof(f246,plain,
xv = xu,
inference(resolution,[status(thm)],[f245,f159]) ).
fof(f247,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[f246,f89]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : LAT382+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.36 % Computer : n002.cluster.edu
% 0.08/0.36 % Model : x86_64 x86_64
% 0.08/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.36 % Memory : 8046.5625MB
% 0.08/0.36 % OS : Linux 6.8.0-71-generic
% 0.08/0.36 % CPULimit : 300
% 0.08/0.36 % WCLimit : 300
% 0.08/0.36 % DateTime : Sun Sep 20 23:59:47 UTC 2026
% 0.08/0.37 % CPUTime :
% 0.08/0.38 % Drodi V4.1.1
% 0.14/0.40 % Refutation found
% 0.14/0.40 % SZS status Theorem for theBenchmark: Theorem is valid
% 0.14/0.40 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 0.14/0.43 % Elapsed time: 0.055889 seconds
% 0.14/0.43 % CPU time: 0.172864 seconds
% 0.14/0.43 % Total memory used: 82.211 MB
% 0.14/0.43 % Net memory used: 81.985 MB
%------------------------------------------------------------------------------