TSTP Solution File: NUM453+6 by Drodi---3.5.1
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- Process Solution
%------------------------------------------------------------------------------
% File : Drodi---3.5.1
% Problem : NUM453+6 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% Computer : n005.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 12:29:12 EDT 2023
% Result : Theorem 1.37s 0.62s
% Output : CNFRefutation 2.07s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 66 ( 14 unt; 0 def)
% Number of atoms : 277 ( 71 equ)
% Maximal formula atoms : 33 ( 4 avg)
% Number of connectives : 320 ( 109 ~; 92 |; 105 &)
% ( 6 <=>; 8 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 8 usr; 3 prp; 0-3 aty)
% Number of functors : 12 ( 12 usr; 4 con; 0-2 aty)
% Number of variables : 79 (; 70 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [W0] :
( aInteger0(W0)
=> aInteger0(smndt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [W0,W1,W2] :
( ( aInteger0(W0)
& aInteger0(W1)
& aInteger0(W2) )
=> sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [W0,W1] :
( ( aInteger0(W0)
& aInteger0(W1) )
=> sdtpldt0(W0,W1) = sdtpldt0(W1,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(f46,hypothesis,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [W0] :
( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> ( aInteger0(W0)
& ? [W1] :
( aInteger0(W1)
& sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
& ( ( aInteger0(W0)
& ( ? [W1] :
( aInteger0(W1)
& sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) )
| aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
| sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
=> aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
<=> ( aInteger0(W0)
& ? [W1] :
( aElementOf0(W1,xS)
& aElementOf0(W0,W1) ) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
& ! [W0] :
( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
=> aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f48,conjecture,
( sdtpldt0(sz10,xp) != sz10
& sdtpldt0(sz10,smndt0(xp)) != sz10 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f49,negated_conjecture,
~ ( sdtpldt0(sz10,xp) != sz10
& sdtpldt0(sz10,smndt0(xp)) != sz10 ),
inference(negated_conjecture,[status(cth)],[f48]) ).
fof(f54,plain,
aInteger0(sz10),
inference(cnf_transformation,[status(esa)],[f3]) ).
fof(f55,plain,
! [W0] :
( ~ aInteger0(W0)
| aInteger0(smndt0(W0)) ),
inference(pre_NNF_transformation,[status(esa)],[f4]) ).
fof(f56,plain,
! [X0] :
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(cnf_transformation,[status(esa)],[f55]) ).
fof(f61,plain,
! [W0,W1,W2] :
( ~ aInteger0(W0)
| ~ aInteger0(W1)
| ~ aInteger0(W2)
| sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ),
inference(pre_NNF_transformation,[status(esa)],[f7]) ).
fof(f62,plain,
! [X0,X1,X2] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| ~ aInteger0(X2)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(cnf_transformation,[status(esa)],[f61]) ).
fof(f63,plain,
! [W0,W1] :
( ~ aInteger0(W0)
| ~ aInteger0(W1)
| sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
inference(pre_NNF_transformation,[status(esa)],[f8]) ).
fof(f64,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[status(esa)],[f63]) ).
fof(f65,plain,
! [W0] :
( ~ aInteger0(W0)
| ( sdtpldt0(W0,sz00) = W0
& W0 = sdtpldt0(sz00,W0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f9]) ).
fof(f66,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[status(esa)],[f65]) ).
fof(f68,plain,
! [W0] :
( ~ aInteger0(W0)
| ( sdtpldt0(W0,smndt0(W0)) = sz00
& sz00 = sdtpldt0(smndt0(W0),W0) ) ),
inference(pre_NNF_transformation,[status(esa)],[f10]) ).
fof(f69,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,smndt0(X0)) = sz00 ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f70,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[status(esa)],[f68]) ).
fof(f317,plain,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [W0] :
( ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( aInteger0(W0)
& ? [W1] :
( aInteger0(W1)
& sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
& ( ~ aInteger0(W0)
| ( ! [W1] :
( ~ aInteger0(W1)
| sdtasdt0(xp,W1) != sdtpldt0(W0,smndt0(sz10)) )
& ~ aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(W0,sz10,xp) )
| aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
<=> ( aInteger0(W0)
& ? [W1] :
( aElementOf0(W1,xS)
& aElementOf0(W0,W1) ) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
<=> ( aInteger0(W0)
& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
& ! [W0] :
( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(pre_NNF_transformation,[status(esa)],[f46]) ).
fof(f318,plain,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [W0] :
( ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( aInteger0(W0)
& ? [W1] :
( aInteger0(W1)
& sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
& ( ~ aInteger0(W0)
| ( ! [W1] :
( ~ aInteger0(W1)
| sdtasdt0(xp,W1) != sdtpldt0(W0,smndt0(sz10)) )
& ~ aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(W0,sz10,xp) )
| aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) ) )
& aSet0(sbsmnsldt0(xS))
& ! [W0] :
( ( ~ aElementOf0(W0,sbsmnsldt0(xS))
| ( aInteger0(W0)
& ? [W1] :
( aElementOf0(W1,xS)
& aElementOf0(W0,W1) ) ) )
& ( aElementOf0(W0,sbsmnsldt0(xS))
| ~ aInteger0(W0)
| ! [W1] :
( ~ aElementOf0(W1,xS)
| ~ aElementOf0(W0,W1) ) ) )
& ! [W0] :
( ( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(W0)
& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
& ( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(W0)
| aElementOf0(W0,sbsmnsldt0(xS)) ) )
& ! [W0] :
( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(NNF_transformation,[status(esa)],[f317]) ).
fof(f319,plain,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [W0] :
( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( aInteger0(W0)
& ? [W1] :
( aInteger0(W1)
& sdtasdt0(xp,W1) = sdtpldt0(W0,smndt0(sz10)) )
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
& ! [W0] :
( ~ aInteger0(W0)
| ( ! [W1] :
( ~ aInteger0(W1)
| sdtasdt0(xp,W1) != sdtpldt0(W0,smndt0(sz10)) )
& ~ aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(W0,sz10,xp) )
| aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& aSet0(sbsmnsldt0(xS))
& ! [W0] :
( ~ aElementOf0(W0,sbsmnsldt0(xS))
| ( aInteger0(W0)
& ? [W1] :
( aElementOf0(W1,xS)
& aElementOf0(W0,W1) ) ) )
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
| ~ aInteger0(W0)
| ! [W1] :
( ~ aElementOf0(W1,xS)
| ~ aElementOf0(W0,W1) ) )
& ! [W0] :
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(W0)
& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(W0)
| aElementOf0(W0,sbsmnsldt0(xS)) )
& ! [W0] :
( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(miniscoping,[status(esa)],[f318]) ).
fof(f320,plain,
( aInteger0(xp)
& xp != sz00
& aSet0(szAzrzSzezqlpdtcmdtrp0(sz10,xp))
& ! [W0] :
( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| ( aInteger0(W0)
& aInteger0(sk0_25(W0))
& sdtasdt0(xp,sk0_25(W0)) = sdtpldt0(W0,smndt0(sz10))
& aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& sdteqdtlpzmzozddtrp0(W0,sz10,xp) ) )
& ! [W0] :
( ~ aInteger0(W0)
| ( ! [W1] :
( ~ aInteger0(W1)
| sdtasdt0(xp,W1) != sdtpldt0(W0,smndt0(sz10)) )
& ~ aDivisorOf0(xp,sdtpldt0(W0,smndt0(sz10)))
& ~ sdteqdtlpzmzozddtrp0(W0,sz10,xp) )
| aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp)) )
& aSet0(sbsmnsldt0(xS))
& ! [W0] :
( ~ aElementOf0(W0,sbsmnsldt0(xS))
| ( aInteger0(W0)
& aElementOf0(sk0_26(W0),xS)
& aElementOf0(W0,sk0_26(W0)) ) )
& ! [W0] :
( aElementOf0(W0,sbsmnsldt0(xS))
| ~ aInteger0(W0)
| ! [W1] :
( ~ aElementOf0(W1,xS)
| ~ aElementOf0(W0,W1) ) )
& ! [W0] :
( ~ aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ( aInteger0(W0)
& ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
& ! [W0] :
( aElementOf0(W0,stldt0(sbsmnsldt0(xS)))
| ~ aInteger0(W0)
| aElementOf0(W0,sbsmnsldt0(xS)) )
& ! [W0] :
( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(sz10,xp))
| aElementOf0(W0,stldt0(sbsmnsldt0(xS))) )
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz10,xp),stldt0(sbsmnsldt0(xS))) ),
inference(skolemization,[status(esa)],[f319]) ).
fof(f321,plain,
aInteger0(xp),
inference(cnf_transformation,[status(esa)],[f320]) ).
fof(f322,plain,
xp != sz00,
inference(cnf_transformation,[status(esa)],[f320]) ).
fof(f353,plain,
( sdtpldt0(sz10,xp) = sz10
| sdtpldt0(sz10,smndt0(xp)) = sz10 ),
inference(pre_NNF_transformation,[status(esa)],[f49]) ).
fof(f354,plain,
( sdtpldt0(sz10,xp) = sz10
| sdtpldt0(sz10,smndt0(xp)) = sz10 ),
inference(cnf_transformation,[status(esa)],[f353]) ).
fof(f395,plain,
( spl0_8
<=> sdtpldt0(sz10,xp) = sz10 ),
introduced(split_symbol_definition) ).
fof(f396,plain,
( sdtpldt0(sz10,xp) = sz10
| ~ spl0_8 ),
inference(component_clause,[status(thm)],[f395]) ).
fof(f398,plain,
( spl0_9
<=> sdtpldt0(sz10,smndt0(xp)) = sz10 ),
introduced(split_symbol_definition) ).
fof(f399,plain,
( sdtpldt0(sz10,smndt0(xp)) = sz10
| ~ spl0_9 ),
inference(component_clause,[status(thm)],[f398]) ).
fof(f401,plain,
( spl0_8
| spl0_9 ),
inference(split_clause,[status(thm)],[f354,f395,f398]) ).
fof(f557,plain,
aInteger0(smndt0(xp)),
inference(resolution,[status(thm)],[f56,f321]) ).
fof(f558,plain,
aInteger0(smndt0(sz10)),
inference(resolution,[status(thm)],[f56,f54]) ).
fof(f562,plain,
sdtpldt0(xp,smndt0(xp)) = sz00,
inference(resolution,[status(thm)],[f69,f321]) ).
fof(f563,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(resolution,[status(thm)],[f69,f54]) ).
fof(f576,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(xp,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(xp,X0),X1) ),
inference(resolution,[status(thm)],[f62,f321]) ).
fof(f577,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| ~ aInteger0(X1)
| sdtpldt0(sz10,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz10,X0),X1) ),
inference(resolution,[status(thm)],[f62,f54]) ).
fof(f579,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,sdtpldt0(sz10,X0)) = sdtpldt0(sdtpldt0(xp,sz10),X0) ),
inference(resolution,[status(thm)],[f576,f54]) ).
fof(f585,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,X0) = sdtpldt0(X0,xp) ),
inference(resolution,[status(thm)],[f64,f321]) ).
fof(f587,plain,
sdtpldt0(xp,sz00) = xp,
inference(resolution,[status(thm)],[f66,f321]) ).
fof(f588,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(resolution,[status(thm)],[f66,f54]) ).
fof(f615,plain,
sz00 = sdtpldt0(smndt0(xp),xp),
inference(resolution,[status(thm)],[f70,f321]) ).
fof(f668,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,sdtpldt0(xp,X0)) = sdtpldt0(sdtpldt0(sz10,xp),X0) ),
inference(resolution,[status(thm)],[f577,f321]) ).
fof(f669,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,sdtpldt0(xp,X0)) = sdtpldt0(sz10,X0)
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f396,f668]) ).
fof(f731,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,sdtpldt0(smndt0(xp),X0)) = sdtpldt0(sdtpldt0(sz10,smndt0(xp)),X0) ),
inference(resolution,[status(thm)],[f557,f577]) ).
fof(f797,plain,
( sdtpldt0(sz10,sdtpldt0(xp,smndt0(xp))) = sdtpldt0(sz10,smndt0(xp))
| ~ spl0_8 ),
inference(resolution,[status(thm)],[f669,f557]) ).
fof(f798,plain,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz10,smndt0(xp))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f562,f797]) ).
fof(f799,plain,
( sz10 = sdtpldt0(sz10,smndt0(xp))
| ~ spl0_8 ),
inference(forward_demodulation,[status(thm)],[f588,f798]) ).
fof(f852,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz10,sdtpldt0(smndt0(xp),X0)) = sdtpldt0(sz10,X0)
| ~ spl0_9 ),
inference(backward_demodulation,[status(thm)],[f399,f731]) ).
fof(f885,plain,
( spl0_9
| ~ spl0_8 ),
inference(split_clause,[status(thm)],[f799,f398,f395]) ).
fof(f926,plain,
( sdtpldt0(sz10,sdtpldt0(smndt0(xp),xp)) = sdtpldt0(sz10,xp)
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f852,f321]) ).
fof(f927,plain,
( sdtpldt0(sz10,sz00) = sdtpldt0(sz10,xp)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f615,f926]) ).
fof(f928,plain,
( sz10 = sdtpldt0(sz10,xp)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f588,f927]) ).
fof(f958,plain,
sdtpldt0(xp,sz10) = sdtpldt0(sz10,xp),
inference(resolution,[status(thm)],[f585,f54]) ).
fof(f1027,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,sdtpldt0(sz10,X0)) = sdtpldt0(sdtpldt0(sz10,xp),X0) ),
inference(backward_demodulation,[status(thm)],[f958,f579]) ).
fof(f1028,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(xp,sdtpldt0(sz10,X0)) = sdtpldt0(sz10,X0)
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f928,f1027]) ).
fof(f1721,plain,
( sdtpldt0(xp,sdtpldt0(sz10,smndt0(sz10))) = sdtpldt0(sz10,smndt0(sz10))
| ~ spl0_9 ),
inference(resolution,[status(thm)],[f558,f1028]) ).
fof(f1722,plain,
( sdtpldt0(xp,sz00) = sdtpldt0(sz10,smndt0(sz10))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f563,f1721]) ).
fof(f1723,plain,
( xp = sdtpldt0(sz10,smndt0(sz10))
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f587,f1722]) ).
fof(f1724,plain,
( xp = sz00
| ~ spl0_9 ),
inference(forward_demodulation,[status(thm)],[f563,f1723]) ).
fof(f1725,plain,
( $false
| ~ spl0_9 ),
inference(forward_subsumption_resolution,[status(thm)],[f1724,f322]) ).
fof(f1726,plain,
~ spl0_9,
inference(contradiction_clause,[status(thm)],[f1725]) ).
fof(f1727,plain,
$false,
inference(sat_refutation,[status(thm)],[f401,f885,f1726]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM453+6 : TPTP v8.1.2. Released v4.0.0.
% 0.07/0.13 % Command : drodi -learnfrom(drodi.lrn) -timeout(%d) %s
% 0.13/0.34 % Computer : n005.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Tue May 30 09:50:21 EDT 2023
% 0.13/0.34 % CPUTime :
% 0.13/0.36 % Drodi V3.5.1
% 1.37/0.62 % Refutation found
% 1.37/0.62 % SZS status Theorem for theBenchmark: Theorem is valid
% 1.37/0.62 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 2.07/0.64 % Elapsed time: 0.289254 seconds
% 2.07/0.64 % CPU time: 2.126088 seconds
% 2.07/0.64 % Memory used: 88.494 MB
%------------------------------------------------------------------------------