%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM446+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n026.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 01:42:54 PM UTC 2026
% Result : CounterSatisfiable 0.22s 0.65s
% Output : Saturation 0.22s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [W0] :
( aInteger0(W0)
=> aInteger0(smndt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [W0,W1] :
( ( aInteger0(W1)
& aInteger0(W0) )
=> aInteger0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [W0,W1] :
( ( aInteger0(W1)
& aInteger0(W0) )
=> aInteger0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f7,axiom,
! [W0,W1,W2] :
( ( aInteger0(W2)
& aInteger0(W1)
& aInteger0(W0) )
=> sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f8,axiom,
! [W0,W1] :
( ( aInteger0(W1)
& aInteger0(W0) )
=> sdtpldt0(W0,W1) = sdtpldt0(W1,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f9,axiom,
! [W0] :
( aInteger0(W0)
=> ( W0 = sdtpldt0(sz00,W0)
& sdtpldt0(W0,sz00) = W0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f10,axiom,
! [W0] :
( aInteger0(W0)
=> ( sz00 = sdtpldt0(smndt0(W0),W0)
& sdtpldt0(W0,smndt0(W0)) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f11,axiom,
! [W0,W1,W2] :
( ( aInteger0(W2)
& aInteger0(W1)
& aInteger0(W0) )
=> sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f12,axiom,
! [W0,W1] :
( ( aInteger0(W1)
& aInteger0(W0) )
=> sdtasdt0(W0,W1) = sdtasdt0(W1,W0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f13,axiom,
! [W0] :
( aInteger0(W0)
=> ( W0 = sdtasdt0(sz10,W0)
& sdtasdt0(W0,sz10) = W0 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f14,axiom,
! [W0,W1,W2] :
( ( aInteger0(W2)
& aInteger0(W1)
& aInteger0(W0) )
=> ( sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2))
& sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f15,axiom,
! [W0] :
( aInteger0(W0)
=> ( sz00 = sdtasdt0(sz00,W0)
& sdtasdt0(W0,sz00) = sz00 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f16,axiom,
! [W0] :
( aInteger0(W0)
=> ( smndt0(W0) = sdtasdt0(W0,smndt0(sz10))
& sdtasdt0(smndt0(sz10),W0) = smndt0(W0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [W0,W1] :
( ( aInteger0(W1)
& aInteger0(W0) )
=> ( sdtasdt0(W0,W1) = sz00
=> ( W1 = sz00
| W0 = sz00 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f18,definition,
! [W0] :
( aInteger0(W0)
=> ! [W1] :
( aDivisorOf0(W1,W0)
<=> ( ? [W2] :
( sdtasdt0(W1,W2) = W0
& aInteger0(W2) )
& W1 != sz00
& aInteger0(W1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f19,definition,
! [W0,W1,W2] :
( ( W2 != sz00
& aInteger0(W2)
& aInteger0(W1)
& aInteger0(W0) )
=> ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
<=> aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [W0,W1] :
( ( W1 != sz00
& aInteger0(W1)
& aInteger0(W0) )
=> sdteqdtlpzmzozddtrp0(W0,W0,W1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f21,axiom,
! [W0,W1,W2] :
( ( W2 != sz00
& aInteger0(W2)
& aInteger0(W1)
& aInteger0(W0) )
=> ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
=> sdteqdtlpzmzozddtrp0(W1,W0,W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f22,axiom,
! [W0,W1,W2,W3] :
( ( aInteger0(W3)
& W2 != sz00
& aInteger0(W2)
& aInteger0(W1)
& aInteger0(W0) )
=> ( ( sdteqdtlpzmzozddtrp0(W1,W3,W2)
& sdteqdtlpzmzozddtrp0(W0,W1,W2) )
=> sdteqdtlpzmzozddtrp0(W0,W3,W2) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f23,axiom,
! [W0,W1,W2,W3] :
( ( W3 != sz00
& aInteger0(W3)
& W2 != sz00
& aInteger0(W2)
& aInteger0(W1)
& aInteger0(W0) )
=> ( sdteqdtlpzmzozddtrp0(W0,W1,sdtasdt0(W2,W3))
=> ( sdteqdtlpzmzozddtrp0(W0,W1,W3)
& sdteqdtlpzmzozddtrp0(W0,W1,W2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [W0] :
( aInteger0(W0)
=> ( ? [W1] :
( isPrime0(W1)
& aDivisorOf0(W1,W0) )
<=> ( W0 != smndt0(sz10)
& W0 != sz10 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f28,definition,
! [W0] :
( aSet0(W0)
=> ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( ! [W2] :
( aElementOf0(W2,W1)
=> aElementOf0(W2,W0) )
& aSet0(W1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f30,definition,
! [W0,W1] :
( ( aSubsetOf0(W1,cS1395)
& aSubsetOf0(W0,cS1395) )
=> ! [W2] :
( W2 = sdtbsmnsldt0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> ( ( aElementOf0(W3,W1)
| aElementOf0(W3,W0) )
& aInteger0(W3) ) )
& aSet0(W2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f31,definition,
! [W0,W1] :
( ( aSubsetOf0(W1,cS1395)
& aSubsetOf0(W0,cS1395) )
=> ! [W2] :
( W2 = sdtslmnbsdt0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> ( aElementOf0(W3,W1)
& aElementOf0(W3,W0)
& aInteger0(W3) ) )
& aSet0(W2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f32,definition,
! [W0] :
( ( ! [W1] :
( aElementOf0(W1,W0)
=> aSubsetOf0(W1,cS1395) )
& aSet0(W0) )
=> ! [W1] :
( W1 = sbsmnsldt0(W0)
<=> ( ! [W2] :
( aElementOf0(W2,W1)
<=> ( ? [W3] :
( aElementOf0(W2,W3)
& aElementOf0(W3,W0) )
& aInteger0(W2) ) )
& aSet0(W1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f33,definition,
! [W0] :
( aSubsetOf0(W0,cS1395)
=> ! [W1] :
( W1 = stldt0(W0)
<=> ( ! [W2] :
( aElementOf0(W2,W1)
<=> ( ~ aElementOf0(W2,W0)
& aInteger0(W2) ) )
& aSet0(W1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f34,definition,
! [W0,W1] :
( ( W1 != sz00
& aInteger0(W1)
& aInteger0(W0) )
=> ! [W2] :
( W2 = szAzrzSzezqlpdtcmdtrp0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> ( sdteqdtlpzmzozddtrp0(W3,W0,W1)
& aInteger0(W3) ) )
& aSet0(W2) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f35,definition,
! [W0] :
( aSubsetOf0(W0,cS1395)
=> ( isOpen0(W0)
<=> ! [W1] :
( aElementOf0(W1,W0)
=> ? [W2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W1,W2),W0)
& W2 != sz00
& aInteger0(W2) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f36,definition,
! [W0] :
( aSubsetOf0(W0,cS1395)
=> ( isClosed0(W0)
<=> isOpen0(stldt0(W0)) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f37,axiom,
! [W0] :
( ( ! [W1] :
( aElementOf0(W1,W0)
=> ( isOpen0(W1)
& aSubsetOf0(W1,cS1395) ) )
& aSet0(W0) )
=> isOpen0(sbsmnsldt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f38,axiom,
! [W0,W1] :
( ( isOpen0(W1)
& isOpen0(W0)
& aSubsetOf0(W1,cS1395)
& aSubsetOf0(W0,cS1395) )
=> isOpen0(sdtslmnbsdt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f39,axiom,
! [W0,W1] :
( ( isClosed0(W1)
& isClosed0(W0)
& aSubsetOf0(W1,cS1395)
& aSubsetOf0(W0,cS1395) )
=> isClosed0(sdtbsmnsldt0(W0,W1)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f40,axiom,
! [W0] :
( ( ! [W1] :
( aElementOf0(W1,W0)
=> ( isClosed0(W1)
& aSubsetOf0(W1,cS1395) ) )
& isFinite0(W0)
& aSet0(W0) )
=> isClosed0(sbsmnsldt0(W0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f41,axiom,
! [W0,W1] :
( ( W1 != sz00
& aInteger0(W1)
& aInteger0(W0) )
=> ( isClosed0(szAzrzSzezqlpdtcmdtrp0(W0,W1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),cS1395) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f42,hypothesis,
xS = cS2043,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f43,conjecture,
stldt0(sbsmnsldt0(xS)) = cS2076,
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
stldt0(sbsmnsldt0(xS)) != cS2076,
inference(negated_conjecture,[status(cth)],[f43]) ).
fof(f48,plain,
aInteger0(sz00),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f49,plain,
aInteger0(sz10),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f50,plain,
! [W0] :
( aInteger0(smndt0(W0))
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f51,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f50]) ).
fof(f52,plain,
! [W0,W1] :
( aInteger0(sdtpldt0(W0,W1))
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f53,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f52]) ).
fof(f54,plain,
! [W0,W1] :
( aInteger0(sdtasdt0(W0,W1))
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f55,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f54]) ).
fof(f56,plain,
! [W0,W1,W2] :
( sdtpldt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtpldt0(W0,W1),W2)
| ~ aInteger0(W2)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f7]) ).
fof(f57,plain,
! [X0,X1,X2] :
( sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f56]) ).
fof(f58,plain,
! [W0,W1] :
( sdtpldt0(W0,W1) = sdtpldt0(W1,W0)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f8]) ).
fof(f59,plain,
! [X0,X1] :
( sdtpldt0(X0,X1) = sdtpldt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f58]) ).
fof(f60,plain,
! [W0] :
( ( W0 = sdtpldt0(sz00,W0)
& sdtpldt0(W0,sz00) = W0 )
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f9]) ).
fof(f61,plain,
! [X0] :
( sdtpldt0(X0,sz00) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f62,plain,
! [X0] :
( X0 = sdtpldt0(sz00,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f60]) ).
fof(f63,plain,
! [W0] :
( ( sz00 = sdtpldt0(smndt0(W0),W0)
& sdtpldt0(W0,smndt0(W0)) = sz00 )
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f10]) ).
fof(f64,plain,
! [X0] :
( sdtpldt0(X0,smndt0(X0)) = sz00
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f65,plain,
! [X0] :
( sz00 = sdtpldt0(smndt0(X0),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f63]) ).
fof(f66,plain,
! [W0,W1,W2] :
( sdtasdt0(W0,sdtasdt0(W1,W2)) = sdtasdt0(sdtasdt0(W0,W1),W2)
| ~ aInteger0(W2)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f11]) ).
fof(f67,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f66]) ).
fof(f68,plain,
! [W0,W1] :
( sdtasdt0(W0,W1) = sdtasdt0(W1,W0)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f12]) ).
fof(f69,plain,
! [X0,X1] :
( sdtasdt0(X0,X1) = sdtasdt0(X1,X0)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f68]) ).
fof(f70,plain,
! [W0] :
( ( W0 = sdtasdt0(sz10,W0)
& sdtasdt0(W0,sz10) = W0 )
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f13]) ).
fof(f71,plain,
! [X0] :
( sdtasdt0(X0,sz10) = X0
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f72,plain,
! [X0] :
( X0 = sdtasdt0(sz10,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f70]) ).
fof(f73,plain,
! [W0,W1,W2] :
( ( sdtasdt0(sdtpldt0(W0,W1),W2) = sdtpldt0(sdtasdt0(W0,W2),sdtasdt0(W1,W2))
& sdtasdt0(W0,sdtpldt0(W1,W2)) = sdtpldt0(sdtasdt0(W0,W1),sdtasdt0(W0,W2)) )
| ~ aInteger0(W2)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f14]) ).
fof(f74,plain,
! [X0,X1,X2] :
( sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f75,plain,
! [X0,X1,X2] :
( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f73]) ).
fof(f76,plain,
! [W0] :
( ( sz00 = sdtasdt0(sz00,W0)
& sdtasdt0(W0,sz00) = sz00 )
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f15]) ).
fof(f77,plain,
! [X0] :
( sdtasdt0(X0,sz00) = sz00
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f78,plain,
! [X0] :
( sz00 = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f76]) ).
fof(f79,plain,
! [W0] :
( ( smndt0(W0) = sdtasdt0(W0,smndt0(sz10))
& sdtasdt0(smndt0(sz10),W0) = smndt0(W0) )
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f16]) ).
fof(f80,plain,
! [X0] :
( sdtasdt0(smndt0(sz10),X0) = smndt0(X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f81,plain,
! [X0] :
( smndt0(X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f79]) ).
fof(f82,plain,
! [W0,W1] :
( W1 = sz00
| W0 = sz00
| sdtasdt0(W0,W1) != sz00
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f83,plain,
! [X0,X1] :
( X1 = sz00
| X0 = sz00
| sdtasdt0(X0,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f82]) ).
fof(f84,plain,
! [W0] :
( ! [W1] :
( aDivisorOf0(W1,W0)
<=> ( ? [W2] :
( sdtasdt0(W1,W2) = W0
& aInteger0(W2) )
& W1 != sz00
& aInteger0(W1) ) )
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f18]) ).
fof(f85,plain,
! [W0] :
( ! [W1] :
( ( ! [W2] :
( sdtasdt0(W1,W2) != W0
| ~ aInteger0(W2) )
| W1 = sz00
| ~ aInteger0(W1)
| aDivisorOf0(W1,W0) )
& ( ( ? [W2] :
( sdtasdt0(W1,W2) = W0
& aInteger0(W2) )
& W1 != sz00
& aInteger0(W1) )
| ~ aDivisorOf0(W1,W0) ) )
| ~ aInteger0(W0) ),
inference(NNF_transformation,[status(thm)],[f84]) ).
fof(f86,plain,
! [W0] :
( ( ! [W1] :
( ! [W2] :
( sdtasdt0(W1,W2) != W0
| ~ aInteger0(W2) )
| W1 = sz00
| ~ aInteger0(W1)
| aDivisorOf0(W1,W0) )
& ! [W1] :
( ( ? [W2] :
( sdtasdt0(W1,W2) = W0
& aInteger0(W2) )
& W1 != sz00
& aInteger0(W1) )
| ~ aDivisorOf0(W1,W0) ) )
| ~ aInteger0(W0) ),
inference(miniscoping,[status(thm)],[f85]) ).
fof(f87,plain,
! [W0] :
( ( ! [W1] :
( ! [W2] :
( sdtasdt0(W1,W2) != W0
| ~ aInteger0(W2) )
| W1 = sz00
| ~ aInteger0(W1)
| aDivisorOf0(W1,W0) )
& ! [W1] :
( ( sdtasdt0(W1,sK0_skl(W1,W0)) = W0
& aInteger0(sK0_skl(W1,W0))
& W1 != sz00
& aInteger0(W1) )
| ~ aDivisorOf0(W1,W0) ) )
| ~ aInteger0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0_skl]),skolemize(W2,sK0_skl(W1,W0))],[f86]) ).
fof(f88,plain,
! [X0,X1] :
( aInteger0(X1)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f89,plain,
! [X0,X1] :
( X1 != sz00
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f90,plain,
! [X0,X1] :
( aInteger0(sK0_skl(X1,X0))
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f91,plain,
! [X0,X1] :
( sdtasdt0(X1,sK0_skl(X1,X0)) = X0
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f92,plain,
! [X0,X1,X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2)
| X1 = sz00
| ~ aInteger0(X1)
| aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f87]) ).
fof(f93,plain,
! [W0,W1,W2] :
( ( sdteqdtlpzmzozddtrp0(W0,W1,W2)
<=> aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1))) )
| W2 = sz00
| ~ aInteger0(W2)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f19]) ).
fof(f94,plain,
! [W0,W1,W2] :
( ( ( ~ aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1)))
| sdteqdtlpzmzozddtrp0(W0,W1,W2) )
& ( aDivisorOf0(W2,sdtpldt0(W0,smndt0(W1)))
| ~ sdteqdtlpzmzozddtrp0(W0,W1,W2) ) )
| W2 = sz00
| ~ aInteger0(W2)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(NNF_transformation,[status(thm)],[f93]) ).
fof(f95,plain,
! [X0,X1,X2] :
( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| X2 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f96,plain,
! [X0,X1,X2] :
( ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X0,X1,X2)
| X2 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f94]) ).
fof(f97,plain,
! [W0,W1] :
( sdteqdtlpzmzozddtrp0(W0,W0,W1)
| W1 = sz00
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f98,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f97]) ).
fof(f99,plain,
! [W0,W1,W2] :
( sdteqdtlpzmzozddtrp0(W1,W0,W2)
| ~ sdteqdtlpzmzozddtrp0(W0,W1,W2)
| W2 = sz00
| ~ aInteger0(W2)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f21]) ).
fof(f100,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| X2 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f99]) ).
fof(f101,plain,
! [W0,W1,W2,W3] :
( sdteqdtlpzmzozddtrp0(W0,W3,W2)
| ~ sdteqdtlpzmzozddtrp0(W1,W3,W2)
| ~ sdteqdtlpzmzozddtrp0(W0,W1,W2)
| ~ aInteger0(W3)
| W2 = sz00
| ~ aInteger0(W2)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f22]) ).
fof(f102,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(X3)
| X2 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f101]) ).
fof(f103,plain,
! [W0,W1,W2,W3] :
( ( sdteqdtlpzmzozddtrp0(W0,W1,W3)
& sdteqdtlpzmzozddtrp0(W0,W1,W2) )
| ~ sdteqdtlpzmzozddtrp0(W0,W1,sdtasdt0(W2,W3))
| W3 = sz00
| ~ aInteger0(W3)
| W2 = sz00
| ~ aInteger0(W2)
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f23]) ).
fof(f104,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| X3 = sz00
| ~ aInteger0(X3)
| X2 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f105,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(X0,X1,X3)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sdtasdt0(X2,X3))
| X3 = sz00
| ~ aInteger0(X3)
| X2 = sz00
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f103]) ).
fof(f108,plain,
! [W0] :
( ( ? [W1] :
( isPrime0(W1)
& aDivisorOf0(W1,W0) )
<=> ( W0 != smndt0(sz10)
& W0 != sz10 ) )
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f109,plain,
! [W0] :
( ( ( W0 = smndt0(sz10)
| W0 = sz10
| ? [W1] :
( isPrime0(W1)
& aDivisorOf0(W1,W0) ) )
& ( ( W0 != smndt0(sz10)
& W0 != sz10 )
| ! [W1] :
( ~ isPrime0(W1)
| ~ aDivisorOf0(W1,W0) ) ) )
| ~ aInteger0(W0) ),
inference(NNF_transformation,[status(thm)],[f108]) ).
fof(f110,plain,
! [W0] :
( ( ( W0 = smndt0(sz10)
| W0 = sz10
| ( isPrime0(sK1_skl(W0))
& aDivisorOf0(sK1_skl(W0),W0) ) )
& ( ( W0 != smndt0(sz10)
& W0 != sz10 )
| ! [W1] :
( ~ isPrime0(W1)
| ~ aDivisorOf0(W1,W0) ) ) )
| ~ aInteger0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1_skl]),skolemize(W1,sK1_skl(W0))],[f109]) ).
fof(f111,plain,
! [X0,X1] :
( X0 != sz10
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f112,plain,
! [X0,X1] :
( X0 != smndt0(sz10)
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f113,plain,
! [X0] :
( X0 = smndt0(sz10)
| X0 = sz10
| aDivisorOf0(sK1_skl(X0),X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f114,plain,
! [X0] :
( X0 = smndt0(sz10)
| X0 = sz10
| isPrime0(sK1_skl(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f110]) ).
fof(f121,plain,
! [W0] :
( ! [W1] :
( aSubsetOf0(W1,W0)
<=> ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) ) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f28]) ).
fof(f122,plain,
! [W0] :
( ! [W1] :
( ( ? [W2] :
( ~ aElementOf0(W2,W0)
& aElementOf0(W2,W1) )
| ~ aSet0(W1)
| aSubsetOf0(W1,W0) )
& ( ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| ~ aSubsetOf0(W1,W0) ) )
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f121]) ).
fof(f123,plain,
! [W0] :
( ( ! [W1] :
( ? [W2] :
( ~ aElementOf0(W2,W0)
& aElementOf0(W2,W1) )
| ~ aSet0(W1)
| aSubsetOf0(W1,W0) )
& ! [W1] :
( ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| ~ aSubsetOf0(W1,W0) ) )
| ~ aSet0(W0) ),
inference(miniscoping,[status(thm)],[f122]) ).
fof(f124,plain,
! [W0] :
( ( ! [W1] :
( ( ~ aElementOf0(sK2_skl(W1,W0),W0)
& aElementOf0(sK2_skl(W1,W0),W1) )
| ~ aSet0(W1)
| aSubsetOf0(W1,W0) )
& ! [W1] :
( ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| ~ aSubsetOf0(W1,W0) ) )
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK2_skl]),skolemize(W2,sK2_skl(W1,W0))],[f123]) ).
fof(f125,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f126,plain,
! [X0,X1,X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f127,plain,
! [X0,X1] :
( aElementOf0(sK2_skl(X1,X0),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f128,plain,
! [X0,X1] :
( ~ aElementOf0(sK2_skl(X1,X0),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f124]) ).
fof(f131,plain,
! [W0,W1] :
( ! [W2] :
( W2 = sdtbsmnsldt0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> ( ( aElementOf0(W3,W1)
| aElementOf0(W3,W0) )
& aInteger0(W3) ) )
& aSet0(W2) ) )
| ~ aSubsetOf0(W1,cS1395)
| ~ aSubsetOf0(W0,cS1395) ),
inference(pre_NNF_transformation,[status(thm)],[f30]) ).
fof(f132,plain,
! [W0,W1] :
( ! [W2] :
( ( ? [W3] :
( ( ( ( aElementOf0(W3,W1)
| aElementOf0(W3,W0) )
& aInteger0(W3) )
| aElementOf0(W3,W2) )
& ( ( ~ aElementOf0(W3,W1)
& ~ aElementOf0(W3,W0) )
| ~ aInteger0(W3)
| ~ aElementOf0(W3,W2) ) )
| ~ aSet0(W2)
| W2 = sdtbsmnsldt0(W0,W1) )
& ( ( ! [W3] :
( ( ( ~ aElementOf0(W3,W1)
& ~ aElementOf0(W3,W0) )
| ~ aInteger0(W3)
| aElementOf0(W3,W2) )
& ( ( ( aElementOf0(W3,W1)
| aElementOf0(W3,W0) )
& aInteger0(W3) )
| ~ aElementOf0(W3,W2) ) )
& aSet0(W2) )
| W2 != sdtbsmnsldt0(W0,W1) ) )
| ~ aSubsetOf0(W1,cS1395)
| ~ aSubsetOf0(W0,cS1395) ),
inference(NNF_transformation,[status(thm)],[f131]) ).
fof(f133,plain,
! [W0,W1] :
( ( ! [W2] :
( ? [W3] :
( ( ( ( aElementOf0(W3,W1)
| aElementOf0(W3,W0) )
& aInteger0(W3) )
| aElementOf0(W3,W2) )
& ( ( ~ aElementOf0(W3,W1)
& ~ aElementOf0(W3,W0) )
| ~ aInteger0(W3)
| ~ aElementOf0(W3,W2) ) )
| ~ aSet0(W2)
| W2 = sdtbsmnsldt0(W0,W1) )
& ! [W2] :
( ( ! [W3] :
( ( ~ aElementOf0(W3,W1)
& ~ aElementOf0(W3,W0) )
| ~ aInteger0(W3)
| aElementOf0(W3,W2) )
& ! [W3] :
( ( ( aElementOf0(W3,W1)
| aElementOf0(W3,W0) )
& aInteger0(W3) )
| ~ aElementOf0(W3,W2) )
& aSet0(W2) )
| W2 != sdtbsmnsldt0(W0,W1) ) )
| ~ aSubsetOf0(W1,cS1395)
| ~ aSubsetOf0(W0,cS1395) ),
inference(miniscoping,[status(thm)],[f132]) ).
fof(f134,plain,
! [W0,W1] :
( ( ! [W2] :
( ( ( ( ( aElementOf0(sK3_skl(W2,W1,W0),W1)
| aElementOf0(sK3_skl(W2,W1,W0),W0) )
& aInteger0(sK3_skl(W2,W1,W0)) )
| aElementOf0(sK3_skl(W2,W1,W0),W2) )
& ( ( ~ aElementOf0(sK3_skl(W2,W1,W0),W1)
& ~ aElementOf0(sK3_skl(W2,W1,W0),W0) )
| ~ aInteger0(sK3_skl(W2,W1,W0))
| ~ aElementOf0(sK3_skl(W2,W1,W0),W2) ) )
| ~ aSet0(W2)
| W2 = sdtbsmnsldt0(W0,W1) )
& ! [W2] :
( ( ! [W3] :
( ( ~ aElementOf0(W3,W1)
& ~ aElementOf0(W3,W0) )
| ~ aInteger0(W3)
| aElementOf0(W3,W2) )
& ! [W3] :
( ( ( aElementOf0(W3,W1)
| aElementOf0(W3,W0) )
& aInteger0(W3) )
| ~ aElementOf0(W3,W2) )
& aSet0(W2) )
| W2 != sdtbsmnsldt0(W0,W1) ) )
| ~ aSubsetOf0(W1,cS1395)
| ~ aSubsetOf0(W0,cS1395) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK3_skl]),skolemize(W3,sK3_skl(W2,W1,W0))],[f133]) ).
fof(f135,plain,
! [X0,X1,X2] :
( aSet0(X2)
| X2 != sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f136,plain,
! [X0,X1,X2,X3] :
( aInteger0(X3)
| ~ aElementOf0(X3,X2)
| X2 != sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f137,plain,
! [X0,X1,X2,X3] :
( aElementOf0(X3,X1)
| aElementOf0(X3,X0)
| ~ aElementOf0(X3,X2)
| X2 != sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f138,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(X3,X0)
| ~ aInteger0(X3)
| aElementOf0(X3,X2)
| X2 != sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f139,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(X3,X1)
| ~ aInteger0(X3)
| aElementOf0(X3,X2)
| X2 != sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f140,plain,
! [X0,X1,X2] :
( ~ aElementOf0(sK3_skl(X2,X1,X0),X0)
| ~ aInteger0(sK3_skl(X2,X1,X0))
| ~ aElementOf0(sK3_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f141,plain,
! [X0,X1,X2] :
( ~ aElementOf0(sK3_skl(X2,X1,X0),X1)
| ~ aInteger0(sK3_skl(X2,X1,X0))
| ~ aElementOf0(sK3_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f142,plain,
! [X0,X1,X2] :
( aInteger0(sK3_skl(X2,X1,X0))
| aElementOf0(sK3_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f143,plain,
! [X0,X1,X2] :
( aElementOf0(sK3_skl(X2,X1,X0),X1)
| aElementOf0(sK3_skl(X2,X1,X0),X0)
| aElementOf0(sK3_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f134]) ).
fof(f144,plain,
! [W0,W1] :
( ! [W2] :
( W2 = sdtslmnbsdt0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> ( aElementOf0(W3,W1)
& aElementOf0(W3,W0)
& aInteger0(W3) ) )
& aSet0(W2) ) )
| ~ aSubsetOf0(W1,cS1395)
| ~ aSubsetOf0(W0,cS1395) ),
inference(pre_NNF_transformation,[status(thm)],[f31]) ).
fof(f145,definition,
! [W0,W1,W3] :
( sP0_prd(W3,W1,W0)
<=> ( aElementOf0(W3,W1)
& aElementOf0(W3,W0)
& aInteger0(W3) ) ),
introduced(definition,[new_symbols(definition,[sP0_prd])],[]) ).
fof(f146,plain,
! [W0,W1] :
( ! [W2] :
( W2 = sdtslmnbsdt0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> sP0_prd(W3,W1,W0) )
& aSet0(W2) ) )
| ~ aSubsetOf0(W1,cS1395)
| ~ aSubsetOf0(W0,cS1395) ),
inference(formula_renaming,[status(thm)],[f144,f145]) ).
fof(f147,plain,
! [W0,W1] :
( ! [W2] :
( ( ? [W3] :
( ( sP0_prd(W3,W1,W0)
| aElementOf0(W3,W2) )
& ( ~ sP0_prd(W3,W1,W0)
| ~ aElementOf0(W3,W2) ) )
| ~ aSet0(W2)
| W2 = sdtslmnbsdt0(W0,W1) )
& ( ( ! [W3] :
( ( ~ sP0_prd(W3,W1,W0)
| aElementOf0(W3,W2) )
& ( sP0_prd(W3,W1,W0)
| ~ aElementOf0(W3,W2) ) )
& aSet0(W2) )
| W2 != sdtslmnbsdt0(W0,W1) ) )
| ~ aSubsetOf0(W1,cS1395)
| ~ aSubsetOf0(W0,cS1395) ),
inference(NNF_transformation,[status(thm)],[f146]) ).
fof(f148,plain,
! [W0,W1] :
( ( ! [W2] :
( ? [W3] :
( ( sP0_prd(W3,W1,W0)
| aElementOf0(W3,W2) )
& ( ~ sP0_prd(W3,W1,W0)
| ~ aElementOf0(W3,W2) ) )
| ~ aSet0(W2)
| W2 = sdtslmnbsdt0(W0,W1) )
& ! [W2] :
( ( ! [W3] :
( ~ sP0_prd(W3,W1,W0)
| aElementOf0(W3,W2) )
& ! [W3] :
( sP0_prd(W3,W1,W0)
| ~ aElementOf0(W3,W2) )
& aSet0(W2) )
| W2 != sdtslmnbsdt0(W0,W1) ) )
| ~ aSubsetOf0(W1,cS1395)
| ~ aSubsetOf0(W0,cS1395) ),
inference(miniscoping,[status(thm)],[f147]) ).
fof(f149,plain,
! [W0,W1] :
( ( ! [W2] :
( ( ( sP0_prd(sK4_skl(W2,W1,W0),W1,W0)
| aElementOf0(sK4_skl(W2,W1,W0),W2) )
& ( ~ sP0_prd(sK4_skl(W2,W1,W0),W1,W0)
| ~ aElementOf0(sK4_skl(W2,W1,W0),W2) ) )
| ~ aSet0(W2)
| W2 = sdtslmnbsdt0(W0,W1) )
& ! [W2] :
( ( ! [W3] :
( ~ sP0_prd(W3,W1,W0)
| aElementOf0(W3,W2) )
& ! [W3] :
( sP0_prd(W3,W1,W0)
| ~ aElementOf0(W3,W2) )
& aSet0(W2) )
| W2 != sdtslmnbsdt0(W0,W1) ) )
| ~ aSubsetOf0(W1,cS1395)
| ~ aSubsetOf0(W0,cS1395) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4_skl]),skolemize(W3,sK4_skl(W2,W1,W0))],[f148]) ).
fof(f150,plain,
! [X0,X1,X2] :
( aSet0(X2)
| X2 != sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f151,plain,
! [X0,X1,X2,X3] :
( sP0_prd(X3,X1,X0)
| ~ aElementOf0(X3,X2)
| X2 != sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f152,plain,
! [X0,X1,X2,X3] :
( ~ sP0_prd(X3,X1,X0)
| aElementOf0(X3,X2)
| X2 != sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f153,plain,
! [X0,X1,X2] :
( ~ sP0_prd(sK4_skl(X2,X1,X0),X1,X0)
| ~ aElementOf0(sK4_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f154,plain,
! [X0,X1,X2] :
( sP0_prd(sK4_skl(X2,X1,X0),X1,X0)
| aElementOf0(sK4_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f149]) ).
fof(f155,plain,
! [W0] :
( ! [W1] :
( W1 = sbsmnsldt0(W0)
<=> ( ! [W2] :
( aElementOf0(W2,W1)
<=> ( ? [W3] :
( aElementOf0(W2,W3)
& aElementOf0(W3,W0) )
& aInteger0(W2) ) )
& aSet0(W1) ) )
| ? [W1] :
( ~ aSubsetOf0(W1,cS1395)
& aElementOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f32]) ).
fof(f156,definition,
! [W0,W1] :
( sP1_prd(W1,W0)
<=> ( ~ aSubsetOf0(W1,cS1395)
& aElementOf0(W1,W0) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f157,plain,
! [W0] :
( ! [W1] :
( W1 = sbsmnsldt0(W0)
<=> ( ! [W2] :
( aElementOf0(W2,W1)
<=> ( ? [W3] :
( aElementOf0(W2,W3)
& aElementOf0(W3,W0) )
& aInteger0(W2) ) )
& aSet0(W1) ) )
| ? [W1] : sP1_prd(W1,W0)
| ~ aSet0(W0) ),
inference(formula_renaming,[status(thm)],[f155,f156]) ).
fof(f158,plain,
! [W0] :
( ! [W1] :
( ( ? [W2] :
( ( ( ? [W3] :
( aElementOf0(W2,W3)
& aElementOf0(W3,W0) )
& aInteger0(W2) )
| aElementOf0(W2,W1) )
& ( ! [W3] :
( ~ aElementOf0(W2,W3)
| ~ aElementOf0(W3,W0) )
| ~ aInteger0(W2)
| ~ aElementOf0(W2,W1) ) )
| ~ aSet0(W1)
| W1 = sbsmnsldt0(W0) )
& ( ( ! [W2] :
( ( ! [W3] :
( ~ aElementOf0(W2,W3)
| ~ aElementOf0(W3,W0) )
| ~ aInteger0(W2)
| aElementOf0(W2,W1) )
& ( ( ? [W3] :
( aElementOf0(W2,W3)
& aElementOf0(W3,W0) )
& aInteger0(W2) )
| ~ aElementOf0(W2,W1) ) )
& aSet0(W1) )
| W1 != sbsmnsldt0(W0) ) )
| ? [W1] : sP1_prd(W1,W0)
| ~ aSet0(W0) ),
inference(NNF_transformation,[status(thm)],[f157]) ).
fof(f159,plain,
! [W0] :
( ( ! [W1] :
( ? [W2] :
( ( ( ? [W3] :
( aElementOf0(W2,W3)
& aElementOf0(W3,W0) )
& aInteger0(W2) )
| aElementOf0(W2,W1) )
& ( ! [W3] :
( ~ aElementOf0(W2,W3)
| ~ aElementOf0(W3,W0) )
| ~ aInteger0(W2)
| ~ aElementOf0(W2,W1) ) )
| ~ aSet0(W1)
| W1 = sbsmnsldt0(W0) )
& ! [W1] :
( ( ! [W2] :
( ! [W3] :
( ~ aElementOf0(W2,W3)
| ~ aElementOf0(W3,W0) )
| ~ aInteger0(W2)
| aElementOf0(W2,W1) )
& ! [W2] :
( ( ? [W3] :
( aElementOf0(W2,W3)
& aElementOf0(W3,W0) )
& aInteger0(W2) )
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| W1 != sbsmnsldt0(W0) ) )
| ? [W1] : sP1_prd(W1,W0)
| ~ aSet0(W0) ),
inference(miniscoping,[status(thm)],[f158]) ).
fof(f160,plain,
! [W0] :
( ( ! [W1] :
( ( ( ( aElementOf0(sK7_skl(W1,W0),sK8_skl(W1,W0))
& aElementOf0(sK8_skl(W1,W0),W0)
& aInteger0(sK7_skl(W1,W0)) )
| aElementOf0(sK7_skl(W1,W0),W1) )
& ( ! [W3] :
( ~ aElementOf0(sK7_skl(W1,W0),W3)
| ~ aElementOf0(W3,W0) )
| ~ aInteger0(sK7_skl(W1,W0))
| ~ aElementOf0(sK7_skl(W1,W0),W1) ) )
| ~ aSet0(W1)
| W1 = sbsmnsldt0(W0) )
& ! [W1] :
( ( ! [W2] :
( ! [W3] :
( ~ aElementOf0(W2,W3)
| ~ aElementOf0(W3,W0) )
| ~ aInteger0(W2)
| aElementOf0(W2,W1) )
& ! [W2] :
( ( aElementOf0(W2,sK6_skl(W2,W1,W0))
& aElementOf0(sK6_skl(W2,W1,W0),W0)
& aInteger0(W2) )
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| W1 != sbsmnsldt0(W0) ) )
| sP1_prd(sK5_skl(W0),W0)
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5_skl,sK6_skl,sK7_skl,sK8_skl]),skolemize(W1,sK5_skl(W0)),skolemize(W3,sK6_skl(W2,W1,W0)),skolemize(W2,sK7_skl(W1,W0)),skolemize(W3,sK8_skl(W1,W0))],[f159]) ).
fof(f161,plain,
! [X0,X1] :
( aSet0(X1)
| X1 != sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f162,plain,
! [X0,X1,X2] :
( aInteger0(X2)
| ~ aElementOf0(X2,X1)
| X1 != sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f163,plain,
! [X0,X1,X2] :
( aElementOf0(sK6_skl(X2,X1,X0),X0)
| ~ aElementOf0(X2,X1)
| X1 != sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f164,plain,
! [X0,X1,X2] :
( aElementOf0(X2,sK6_skl(X2,X1,X0))
| ~ aElementOf0(X2,X1)
| X1 != sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f165,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(X2,X3)
| ~ aElementOf0(X3,X0)
| ~ aInteger0(X2)
| aElementOf0(X2,X1)
| X1 != sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f166,plain,
! [X0,X1,X2] :
( ~ aElementOf0(sK7_skl(X1,X0),X2)
| ~ aElementOf0(X2,X0)
| ~ aInteger0(sK7_skl(X1,X0))
| ~ aElementOf0(sK7_skl(X1,X0),X1)
| ~ aSet0(X1)
| X1 = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f167,plain,
! [X0,X1] :
( aInteger0(sK7_skl(X1,X0))
| aElementOf0(sK7_skl(X1,X0),X1)
| ~ aSet0(X1)
| X1 = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f168,plain,
! [X0,X1] :
( aElementOf0(sK8_skl(X1,X0),X0)
| aElementOf0(sK7_skl(X1,X0),X1)
| ~ aSet0(X1)
| X1 = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f169,plain,
! [X0,X1] :
( aElementOf0(sK7_skl(X1,X0),sK8_skl(X1,X0))
| aElementOf0(sK7_skl(X1,X0),X1)
| ~ aSet0(X1)
| X1 = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f160]) ).
fof(f170,plain,
! [W0] :
( ! [W1] :
( W1 = stldt0(W0)
<=> ( ! [W2] :
( aElementOf0(W2,W1)
<=> ( ~ aElementOf0(W2,W0)
& aInteger0(W2) ) )
& aSet0(W1) ) )
| ~ aSubsetOf0(W0,cS1395) ),
inference(pre_NNF_transformation,[status(thm)],[f33]) ).
fof(f171,plain,
! [W0] :
( ! [W1] :
( ( ? [W2] :
( ( ( ~ aElementOf0(W2,W0)
& aInteger0(W2) )
| aElementOf0(W2,W1) )
& ( aElementOf0(W2,W0)
| ~ aInteger0(W2)
| ~ aElementOf0(W2,W1) ) )
| ~ aSet0(W1)
| W1 = stldt0(W0) )
& ( ( ! [W2] :
( ( aElementOf0(W2,W0)
| ~ aInteger0(W2)
| aElementOf0(W2,W1) )
& ( ( ~ aElementOf0(W2,W0)
& aInteger0(W2) )
| ~ aElementOf0(W2,W1) ) )
& aSet0(W1) )
| W1 != stldt0(W0) ) )
| ~ aSubsetOf0(W0,cS1395) ),
inference(NNF_transformation,[status(thm)],[f170]) ).
fof(f172,plain,
! [W0] :
( ( ! [W1] :
( ? [W2] :
( ( ( ~ aElementOf0(W2,W0)
& aInteger0(W2) )
| aElementOf0(W2,W1) )
& ( aElementOf0(W2,W0)
| ~ aInteger0(W2)
| ~ aElementOf0(W2,W1) ) )
| ~ aSet0(W1)
| W1 = stldt0(W0) )
& ! [W1] :
( ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aInteger0(W2)
| aElementOf0(W2,W1) )
& ! [W2] :
( ( ~ aElementOf0(W2,W0)
& aInteger0(W2) )
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| W1 != stldt0(W0) ) )
| ~ aSubsetOf0(W0,cS1395) ),
inference(miniscoping,[status(thm)],[f171]) ).
fof(f173,plain,
! [W0] :
( ( ! [W1] :
( ( ( ( ~ aElementOf0(sK9_skl(W1,W0),W0)
& aInteger0(sK9_skl(W1,W0)) )
| aElementOf0(sK9_skl(W1,W0),W1) )
& ( aElementOf0(sK9_skl(W1,W0),W0)
| ~ aInteger0(sK9_skl(W1,W0))
| ~ aElementOf0(sK9_skl(W1,W0),W1) ) )
| ~ aSet0(W1)
| W1 = stldt0(W0) )
& ! [W1] :
( ( ! [W2] :
( aElementOf0(W2,W0)
| ~ aInteger0(W2)
| aElementOf0(W2,W1) )
& ! [W2] :
( ( ~ aElementOf0(W2,W0)
& aInteger0(W2) )
| ~ aElementOf0(W2,W1) )
& aSet0(W1) )
| W1 != stldt0(W0) ) )
| ~ aSubsetOf0(W0,cS1395) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK9_skl]),skolemize(W2,sK9_skl(W1,W0))],[f172]) ).
fof(f174,plain,
! [X0,X1] :
( aSet0(X1)
| X1 != stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f175,plain,
! [X0,X1,X2] :
( aInteger0(X2)
| ~ aElementOf0(X2,X1)
| X1 != stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f176,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1)
| X1 != stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f177,plain,
! [X0,X1,X2] :
( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| aElementOf0(X2,X1)
| X1 != stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f178,plain,
! [X0,X1] :
( aElementOf0(sK9_skl(X1,X0),X0)
| ~ aInteger0(sK9_skl(X1,X0))
| ~ aElementOf0(sK9_skl(X1,X0),X1)
| ~ aSet0(X1)
| X1 = stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f179,plain,
! [X0,X1] :
( aInteger0(sK9_skl(X1,X0))
| aElementOf0(sK9_skl(X1,X0),X1)
| ~ aSet0(X1)
| X1 = stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f180,plain,
! [X0,X1] :
( ~ aElementOf0(sK9_skl(X1,X0),X0)
| aElementOf0(sK9_skl(X1,X0),X1)
| ~ aSet0(X1)
| X1 = stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f173]) ).
fof(f181,plain,
! [W0,W1] :
( ! [W2] :
( W2 = szAzrzSzezqlpdtcmdtrp0(W0,W1)
<=> ( ! [W3] :
( aElementOf0(W3,W2)
<=> ( sdteqdtlpzmzozddtrp0(W3,W0,W1)
& aInteger0(W3) ) )
& aSet0(W2) ) )
| W1 = sz00
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f34]) ).
fof(f182,plain,
! [W0,W1] :
( ! [W2] :
( ( ? [W3] :
( ( ( sdteqdtlpzmzozddtrp0(W3,W0,W1)
& aInteger0(W3) )
| aElementOf0(W3,W2) )
& ( ~ sdteqdtlpzmzozddtrp0(W3,W0,W1)
| ~ aInteger0(W3)
| ~ aElementOf0(W3,W2) ) )
| ~ aSet0(W2)
| W2 = szAzrzSzezqlpdtcmdtrp0(W0,W1) )
& ( ( ! [W3] :
( ( ~ sdteqdtlpzmzozddtrp0(W3,W0,W1)
| ~ aInteger0(W3)
| aElementOf0(W3,W2) )
& ( ( sdteqdtlpzmzozddtrp0(W3,W0,W1)
& aInteger0(W3) )
| ~ aElementOf0(W3,W2) ) )
& aSet0(W2) )
| W2 != szAzrzSzezqlpdtcmdtrp0(W0,W1) ) )
| W1 = sz00
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(NNF_transformation,[status(thm)],[f181]) ).
fof(f183,plain,
! [W0,W1] :
( ( ! [W2] :
( ? [W3] :
( ( ( sdteqdtlpzmzozddtrp0(W3,W0,W1)
& aInteger0(W3) )
| aElementOf0(W3,W2) )
& ( ~ sdteqdtlpzmzozddtrp0(W3,W0,W1)
| ~ aInteger0(W3)
| ~ aElementOf0(W3,W2) ) )
| ~ aSet0(W2)
| W2 = szAzrzSzezqlpdtcmdtrp0(W0,W1) )
& ! [W2] :
( ( ! [W3] :
( ~ sdteqdtlpzmzozddtrp0(W3,W0,W1)
| ~ aInteger0(W3)
| aElementOf0(W3,W2) )
& ! [W3] :
( ( sdteqdtlpzmzozddtrp0(W3,W0,W1)
& aInteger0(W3) )
| ~ aElementOf0(W3,W2) )
& aSet0(W2) )
| W2 != szAzrzSzezqlpdtcmdtrp0(W0,W1) ) )
| W1 = sz00
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(miniscoping,[status(thm)],[f182]) ).
fof(f184,plain,
! [W0,W1] :
( ( ! [W2] :
( ( ( ( sdteqdtlpzmzozddtrp0(sK10_skl(W2,W1,W0),W0,W1)
& aInteger0(sK10_skl(W2,W1,W0)) )
| aElementOf0(sK10_skl(W2,W1,W0),W2) )
& ( ~ sdteqdtlpzmzozddtrp0(sK10_skl(W2,W1,W0),W0,W1)
| ~ aInteger0(sK10_skl(W2,W1,W0))
| ~ aElementOf0(sK10_skl(W2,W1,W0),W2) ) )
| ~ aSet0(W2)
| W2 = szAzrzSzezqlpdtcmdtrp0(W0,W1) )
& ! [W2] :
( ( ! [W3] :
( ~ sdteqdtlpzmzozddtrp0(W3,W0,W1)
| ~ aInteger0(W3)
| aElementOf0(W3,W2) )
& ! [W3] :
( ( sdteqdtlpzmzozddtrp0(W3,W0,W1)
& aInteger0(W3) )
| ~ aElementOf0(W3,W2) )
& aSet0(W2) )
| W2 != szAzrzSzezqlpdtcmdtrp0(W0,W1) ) )
| W1 = sz00
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK10_skl]),skolemize(W3,sK10_skl(W2,W1,W0))],[f183]) ).
fof(f185,plain,
! [X0,X1,X2] :
( aSet0(X2)
| X2 != szAzrzSzezqlpdtcmdtrp0(X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f186,plain,
! [X0,X1,X2,X3] :
( aInteger0(X3)
| ~ aElementOf0(X3,X2)
| X2 != szAzrzSzezqlpdtcmdtrp0(X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f187,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aElementOf0(X3,X2)
| X2 != szAzrzSzezqlpdtcmdtrp0(X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f188,plain,
! [X0,X1,X2,X3] :
( ~ sdteqdtlpzmzozddtrp0(X3,X0,X1)
| ~ aInteger0(X3)
| aElementOf0(X3,X2)
| X2 != szAzrzSzezqlpdtcmdtrp0(X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f189,plain,
! [X0,X1,X2] :
( ~ sdteqdtlpzmzozddtrp0(sK10_skl(X2,X1,X0),X0,X1)
| ~ aInteger0(sK10_skl(X2,X1,X0))
| ~ aElementOf0(sK10_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f190,plain,
! [X0,X1,X2] :
( aInteger0(sK10_skl(X2,X1,X0))
| aElementOf0(sK10_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f191,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(sK10_skl(X2,X1,X0),X0,X1)
| aElementOf0(sK10_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f184]) ).
fof(f192,plain,
! [W0] :
( ( isOpen0(W0)
<=> ! [W1] :
( ? [W2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W1,W2),W0)
& W2 != sz00
& aInteger0(W2) )
| ~ aElementOf0(W1,W0) ) )
| ~ aSubsetOf0(W0,cS1395) ),
inference(pre_NNF_transformation,[status(thm)],[f35]) ).
fof(f193,plain,
! [W0] :
( ( ( ? [W1] :
( ! [W2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W1,W2),W0)
| W2 = sz00
| ~ aInteger0(W2) )
& aElementOf0(W1,W0) )
| isOpen0(W0) )
& ( ! [W1] :
( ? [W2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W1,W2),W0)
& W2 != sz00
& aInteger0(W2) )
| ~ aElementOf0(W1,W0) )
| ~ isOpen0(W0) ) )
| ~ aSubsetOf0(W0,cS1395) ),
inference(NNF_transformation,[status(thm)],[f192]) ).
fof(f194,plain,
! [W0] :
( ( ( ( ! [W2] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK12_skl(W0),W2),W0)
| W2 = sz00
| ~ aInteger0(W2) )
& aElementOf0(sK12_skl(W0),W0) )
| isOpen0(W0) )
& ( ! [W1] :
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W1,sK11_skl(W1,W0)),W0)
& sK11_skl(W1,W0) != sz00
& aInteger0(sK11_skl(W1,W0)) )
| ~ aElementOf0(W1,W0) )
| ~ isOpen0(W0) ) )
| ~ aSubsetOf0(W0,cS1395) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK11_skl,sK12_skl]),skolemize(W2,sK11_skl(W1,W0)),skolemize(W1,sK12_skl(W0))],[f193]) ).
fof(f195,plain,
! [X0,X1] :
( aInteger0(sK11_skl(X1,X0))
| ~ aElementOf0(X1,X0)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f196,plain,
! [X0,X1] :
( sK11_skl(X1,X0) != sz00
| ~ aElementOf0(X1,X0)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f197,plain,
! [X0,X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,sK11_skl(X1,X0)),X0)
| ~ aElementOf0(X1,X0)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f198,plain,
! [X0] :
( aElementOf0(sK12_skl(X0),X0)
| isOpen0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f199,plain,
! [X0,X1] :
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK12_skl(X0),X1),X0)
| X1 = sz00
| ~ aInteger0(X1)
| isOpen0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f194]) ).
fof(f200,plain,
! [W0] :
( ( isClosed0(W0)
<=> isOpen0(stldt0(W0)) )
| ~ aSubsetOf0(W0,cS1395) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f201,plain,
! [W0] :
( ( ( ~ isOpen0(stldt0(W0))
| isClosed0(W0) )
& ( isOpen0(stldt0(W0))
| ~ isClosed0(W0) ) )
| ~ aSubsetOf0(W0,cS1395) ),
inference(NNF_transformation,[status(thm)],[f200]) ).
fof(f202,plain,
! [X0] :
( isOpen0(stldt0(X0))
| ~ isClosed0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f203,plain,
! [X0] :
( ~ isOpen0(stldt0(X0))
| isClosed0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f201]) ).
fof(f204,plain,
! [W0] :
( isOpen0(sbsmnsldt0(W0))
| ? [W1] :
( ( ~ isOpen0(W1)
| ~ aSubsetOf0(W1,cS1395) )
& aElementOf0(W1,W0) )
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f37]) ).
fof(f205,plain,
! [W0] :
( isOpen0(sbsmnsldt0(W0))
| ( ( ~ isOpen0(sK13_skl(W0))
| ~ aSubsetOf0(sK13_skl(W0),cS1395) )
& aElementOf0(sK13_skl(W0),W0) )
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK13_skl]),skolemize(W1,sK13_skl(W0))],[f204]) ).
fof(f206,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| aElementOf0(sK13_skl(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f207,plain,
! [X0] :
( isOpen0(sbsmnsldt0(X0))
| ~ isOpen0(sK13_skl(X0))
| ~ aSubsetOf0(sK13_skl(X0),cS1395)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f205]) ).
fof(f208,plain,
! [W0,W1] :
( isOpen0(sdtslmnbsdt0(W0,W1))
| ~ isOpen0(W1)
| ~ isOpen0(W0)
| ~ aSubsetOf0(W1,cS1395)
| ~ aSubsetOf0(W0,cS1395) ),
inference(pre_NNF_transformation,[status(thm)],[f38]) ).
fof(f209,plain,
! [X0,X1] :
( isOpen0(sdtslmnbsdt0(X0,X1))
| ~ isOpen0(X1)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f208]) ).
fof(f210,plain,
! [W0,W1] :
( isClosed0(sdtbsmnsldt0(W0,W1))
| ~ isClosed0(W1)
| ~ isClosed0(W0)
| ~ aSubsetOf0(W1,cS1395)
| ~ aSubsetOf0(W0,cS1395) ),
inference(pre_NNF_transformation,[status(thm)],[f39]) ).
fof(f211,plain,
! [X0,X1] :
( isClosed0(sdtbsmnsldt0(X0,X1))
| ~ isClosed0(X1)
| ~ isClosed0(X0)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f210]) ).
fof(f212,plain,
! [W0] :
( isClosed0(sbsmnsldt0(W0))
| ? [W1] :
( ( ~ isClosed0(W1)
| ~ aSubsetOf0(W1,cS1395) )
& aElementOf0(W1,W0) )
| ~ isFinite0(W0)
| ~ aSet0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f40]) ).
fof(f213,plain,
! [W0] :
( isClosed0(sbsmnsldt0(W0))
| ( ( ~ isClosed0(sK14_skl(W0))
| ~ aSubsetOf0(sK14_skl(W0),cS1395) )
& aElementOf0(sK14_skl(W0),W0) )
| ~ isFinite0(W0)
| ~ aSet0(W0) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK14_skl]),skolemize(W1,sK14_skl(W0))],[f212]) ).
fof(f214,plain,
! [X0] :
( isClosed0(sbsmnsldt0(X0))
| aElementOf0(sK14_skl(X0),X0)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f215,plain,
! [X0] :
( isClosed0(sbsmnsldt0(X0))
| ~ isClosed0(sK14_skl(X0))
| ~ aSubsetOf0(sK14_skl(X0),cS1395)
| ~ isFinite0(X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f213]) ).
fof(f216,plain,
! [W0,W1] :
( ( isClosed0(szAzrzSzezqlpdtcmdtrp0(W0,W1))
& aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),cS1395) )
| W1 = sz00
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f41]) ).
fof(f217,plain,
! [X0,X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f218,plain,
! [X0,X1] :
( isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f216]) ).
fof(f219,plain,
xS = cS2043,
inference(cnf_transformation,[status(thm)],[f42]) ).
fof(f220,plain,
stldt0(sbsmnsldt0(xS)) != cS2076,
inference(cnf_transformation,[status(thm)],[f44]) ).
fof(f221,plain,
! [W0,W1,W3] :
( ( ~ aElementOf0(W3,W1)
| ~ aElementOf0(W3,W0)
| ~ aInteger0(W3)
| sP0_prd(W3,W1,W0) )
& ( ( aElementOf0(W3,W1)
& aElementOf0(W3,W0)
& aInteger0(W3) )
| ~ sP0_prd(W3,W1,W0) ) ),
inference(NNF_transformation,[status(thm)],[f145]) ).
fof(f222,plain,
( ! [W0,W1,W3] :
( ~ aElementOf0(W3,W1)
| ~ aElementOf0(W3,W0)
| ~ aInteger0(W3)
| sP0_prd(W3,W1,W0) )
& ! [W0,W1,W3] :
( ( aElementOf0(W3,W1)
& aElementOf0(W3,W0)
& aInteger0(W3) )
| ~ sP0_prd(W3,W1,W0) ) ),
inference(miniscoping,[status(thm)],[f221]) ).
fof(f223,plain,
! [X0,X1,X2] :
( aInteger0(X0)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f224,plain,
! [X0,X1,X2] :
( aElementOf0(X0,X2)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f225,plain,
! [X0,X1,X2] :
( aElementOf0(X0,X1)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f226,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X0,X2)
| ~ aInteger0(X0)
| sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f227,plain,
! [W0,W1] :
( ( aSubsetOf0(W1,cS1395)
| ~ aElementOf0(W1,W0)
| sP1_prd(W1,W0) )
& ( ( ~ aSubsetOf0(W1,cS1395)
& aElementOf0(W1,W0) )
| ~ sP1_prd(W1,W0) ) ),
inference(NNF_transformation,[status(thm)],[f156]) ).
fof(f228,plain,
( ! [W0,W1] :
( aSubsetOf0(W1,cS1395)
| ~ aElementOf0(W1,W0)
| sP1_prd(W1,W0) )
& ! [W0,W1] :
( ( ~ aSubsetOf0(W1,cS1395)
& aElementOf0(W1,W0) )
| ~ sP1_prd(W1,W0) ) ),
inference(miniscoping,[status(thm)],[f227]) ).
fof(f229,plain,
! [X0,X1] :
( aElementOf0(X0,X1)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f230,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f231,plain,
! [X0,X1] :
( aSubsetOf0(X0,cS1395)
| ~ aElementOf0(X0,X1)
| sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f232,plain,
aInteger0(smndt0(sz10)),
inference(resolution,[status(thm)],[f51,f49]) ).
fof(f233,plain,
aInteger0(smndt0(sz00)),
inference(resolution,[status(thm)],[f51,f48]) ).
fof(f234,plain,
! [X0] :
( aInteger0(sdtpldt0(sz10,X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f53,f49]) ).
fof(f235,plain,
! [X0] :
( aInteger0(sdtpldt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f53,f48]) ).
fof(f236,plain,
! [X0] :
( aInteger0(sdtasdt0(sz10,X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f55,f49]) ).
fof(f237,plain,
! [X0] :
( aInteger0(sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f55,f48]) ).
fof(f238,plain,
! [X0,X1] :
( sdtpldt0(sz10,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz10,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f57,f49]) ).
fof(f239,plain,
! [X0,X1] :
( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f57,f48]) ).
fof(f240,plain,
! [X0,X1] :
( sdtpldt0(smndt0(sz10),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(sz10),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f232,f57]) ).
fof(f241,plain,
! [X0] :
( aInteger0(sdtasdt0(smndt0(sz10),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f232,f55]) ).
fof(f242,plain,
! [X0] :
( aInteger0(sdtpldt0(smndt0(sz10),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f232,f53]) ).
fof(f243,plain,
aInteger0(smndt0(smndt0(sz10))),
inference(resolution,[status(thm)],[f232,f51]) ).
fof(f244,plain,
! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtpldt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f59,f232]) ).
fof(f245,plain,
! [X0] :
( sdtpldt0(sz10,X0) = sdtpldt0(X0,sz10)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f59,f49]) ).
fof(f246,plain,
! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f59,f48]) ).
fof(f247,plain,
! [X0] :
( sdtpldt0(smndt0(sz00),X0) = sdtpldt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f233,f59]) ).
fof(f248,plain,
! [X0,X1] :
( sdtpldt0(smndt0(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f233,f57]) ).
fof(f249,plain,
! [X0] :
( aInteger0(sdtasdt0(smndt0(sz00),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f233,f55]) ).
fof(f250,plain,
! [X0] :
( aInteger0(sdtpldt0(smndt0(sz00),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f233,f53]) ).
fof(f251,plain,
aInteger0(smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f233,f51]) ).
fof(f252,plain,
sdtpldt0(smndt0(sz00),sz00) = smndt0(sz00),
inference(resolution,[status(thm)],[f61,f233]) ).
fof(f253,plain,
sdtpldt0(smndt0(sz10),sz00) = smndt0(sz10),
inference(resolution,[status(thm)],[f61,f232]) ).
fof(f254,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(resolution,[status(thm)],[f61,f49]) ).
fof(f255,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(resolution,[status(thm)],[f61,f48]) ).
fof(f256,plain,
smndt0(sz00) = sdtpldt0(sz00,smndt0(sz00)),
inference(resolution,[status(thm)],[f62,f233]) ).
fof(f257,plain,
smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10)),
inference(resolution,[status(thm)],[f62,f232]) ).
fof(f258,plain,
sz10 = sdtpldt0(sz00,sz10),
inference(resolution,[status(thm)],[f62,f49]) ).
fof(f260,plain,
smndt0(smndt0(sz10)) = sdtpldt0(sz00,smndt0(smndt0(sz10))),
inference(resolution,[status(thm)],[f243,f62]) ).
fof(f261,plain,
sdtpldt0(smndt0(smndt0(sz10)),sz00) = smndt0(smndt0(sz10)),
inference(resolution,[status(thm)],[f243,f61]) ).
fof(f262,plain,
! [X0] :
( sdtpldt0(smndt0(smndt0(sz10)),X0) = sdtpldt0(X0,smndt0(smndt0(sz10)))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f243,f59]) ).
fof(f263,plain,
! [X0,X1] :
( sdtpldt0(smndt0(smndt0(sz10)),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(smndt0(sz10)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f243,f57]) ).
fof(f264,plain,
! [X0] :
( aInteger0(sdtasdt0(smndt0(smndt0(sz10)),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f243,f55]) ).
fof(f265,plain,
! [X0] :
( aInteger0(sdtpldt0(smndt0(smndt0(sz10)),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f243,f53]) ).
fof(f266,plain,
aInteger0(smndt0(smndt0(smndt0(sz10)))),
inference(resolution,[status(thm)],[f243,f51]) ).
fof(f267,plain,
smndt0(smndt0(sz00)) = sdtpldt0(sz00,smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f251,f62]) ).
fof(f268,plain,
sdtpldt0(smndt0(smndt0(sz00)),sz00) = smndt0(smndt0(sz00)),
inference(resolution,[status(thm)],[f251,f61]) ).
fof(f269,plain,
! [X0] :
( sdtpldt0(smndt0(smndt0(sz00)),X0) = sdtpldt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f251,f59]) ).
fof(f270,plain,
! [X0,X1] :
( sdtpldt0(smndt0(smndt0(sz00)),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f251,f57]) ).
fof(f271,plain,
! [X0] :
( aInteger0(sdtasdt0(smndt0(smndt0(sz00)),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f251,f55]) ).
fof(f272,plain,
! [X0] :
( aInteger0(sdtpldt0(smndt0(smndt0(sz00)),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f251,f53]) ).
fof(f273,plain,
aInteger0(smndt0(smndt0(smndt0(sz00)))),
inference(resolution,[status(thm)],[f251,f51]) ).
fof(f274,plain,
sdtpldt0(smndt0(smndt0(sz00)),smndt0(smndt0(smndt0(sz00)))) = sz00,
inference(resolution,[status(thm)],[f64,f251]) ).
fof(f275,plain,
sdtpldt0(smndt0(smndt0(sz10)),smndt0(smndt0(smndt0(sz10)))) = sz00,
inference(resolution,[status(thm)],[f64,f243]) ).
fof(f276,plain,
sdtpldt0(smndt0(sz00),smndt0(smndt0(sz00))) = sz00,
inference(resolution,[status(thm)],[f64,f233]) ).
fof(f277,plain,
sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10))) = sz00,
inference(resolution,[status(thm)],[f64,f232]) ).
fof(f278,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(resolution,[status(thm)],[f64,f49]) ).
fof(f279,plain,
sdtpldt0(sz00,smndt0(sz00)) = sz00,
inference(resolution,[status(thm)],[f64,f48]) ).
fof(f280,plain,
sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz00))),smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f65,f251]) ).
fof(f281,plain,
sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz10))),smndt0(smndt0(sz10))),
inference(resolution,[status(thm)],[f65,f243]) ).
fof(f282,plain,
sz00 = sdtpldt0(smndt0(smndt0(sz00)),smndt0(sz00)),
inference(resolution,[status(thm)],[f65,f233]) ).
fof(f283,plain,
sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10)),
inference(resolution,[status(thm)],[f65,f232]) ).
fof(f284,plain,
sz00 = sdtpldt0(smndt0(sz10),sz10),
inference(resolution,[status(thm)],[f65,f49]) ).
fof(f285,plain,
sz00 = sdtpldt0(smndt0(sz00),sz00),
inference(resolution,[status(thm)],[f65,f48]) ).
fof(f286,plain,
! [X0,X1] :
( sdtasdt0(smndt0(smndt0(sz00)),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f67,f251]) ).
fof(f287,plain,
! [X0,X1] :
( sdtasdt0(smndt0(smndt0(sz10)),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz10)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f67,f243]) ).
fof(f288,plain,
! [X0,X1] :
( sdtasdt0(smndt0(sz00),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f67,f233]) ).
fof(f289,plain,
! [X0,X1] :
( sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(sz10),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f67,f232]) ).
fof(f290,plain,
! [X0,X1] :
( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz10,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f67,f49]) ).
fof(f291,plain,
! [X0,X1] :
( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f67,f48]) ).
fof(f292,plain,
! [X0] :
( sdtasdt0(smndt0(smndt0(sz00)),X0) = sdtasdt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f69,f251]) ).
fof(f293,plain,
! [X0] :
( sdtasdt0(smndt0(smndt0(sz10)),X0) = sdtasdt0(X0,smndt0(smndt0(sz10)))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f69,f243]) ).
fof(f294,plain,
! [X0] :
( sdtasdt0(smndt0(sz00),X0) = sdtasdt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f69,f233]) ).
fof(f295,plain,
! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f69,f232]) ).
fof(f296,plain,
! [X0] :
( sdtasdt0(sz10,X0) = sdtasdt0(X0,sz10)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f69,f49]) ).
fof(f297,plain,
! [X0] :
( sdtasdt0(sz00,X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f69,f48]) ).
fof(f298,plain,
sdtasdt0(smndt0(smndt0(sz00)),sz10) = smndt0(smndt0(sz00)),
inference(resolution,[status(thm)],[f71,f251]) ).
fof(f299,plain,
sdtasdt0(smndt0(smndt0(sz10)),sz10) = smndt0(smndt0(sz10)),
inference(resolution,[status(thm)],[f71,f243]) ).
fof(f300,plain,
sdtasdt0(smndt0(sz00),sz10) = smndt0(sz00),
inference(resolution,[status(thm)],[f71,f233]) ).
fof(f301,plain,
sdtasdt0(smndt0(sz10),sz10) = smndt0(sz10),
inference(resolution,[status(thm)],[f71,f232]) ).
fof(f302,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(resolution,[status(thm)],[f71,f49]) ).
fof(f303,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(resolution,[status(thm)],[f71,f48]) ).
fof(f304,plain,
smndt0(smndt0(sz00)) = sdtasdt0(sz10,smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f72,f251]) ).
fof(f305,plain,
smndt0(smndt0(sz10)) = sdtasdt0(sz10,smndt0(smndt0(sz10))),
inference(resolution,[status(thm)],[f72,f243]) ).
fof(f306,plain,
smndt0(sz00) = sdtasdt0(sz10,smndt0(sz00)),
inference(resolution,[status(thm)],[f72,f233]) ).
fof(f307,plain,
smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10)),
inference(resolution,[status(thm)],[f72,f232]) ).
fof(f309,plain,
sz00 = sdtasdt0(sz10,sz00),
inference(resolution,[status(thm)],[f72,f48]) ).
fof(f310,plain,
! [X0,X1] :
( sdtasdt0(smndt0(smndt0(sz00)),sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X0),sdtasdt0(smndt0(smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f74,f251]) ).
fof(f311,plain,
! [X0,X1] :
( sdtasdt0(smndt0(smndt0(sz10)),sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz10)),X0),sdtasdt0(smndt0(smndt0(sz10)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f74,f243]) ).
fof(f312,plain,
! [X0,X1] :
( sdtasdt0(smndt0(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(sz00),X0),sdtasdt0(smndt0(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f74,f233]) ).
fof(f313,plain,
! [X0,X1] :
( sdtasdt0(smndt0(sz10),sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(sz10),X0),sdtasdt0(smndt0(sz10),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f74,f232]) ).
fof(f314,plain,
! [X0,X1] :
( sdtasdt0(sz10,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz10,X0),sdtasdt0(sz10,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f74,f49]) ).
fof(f315,plain,
! [X0,X1] :
( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f74,f48]) ).
fof(f316,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(smndt0(smndt0(sz00)),X0),X1) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f75,f251]) ).
fof(f317,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(smndt0(smndt0(sz10)),X0),X1) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz10)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f75,f243]) ).
fof(f318,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(smndt0(sz00),X0),X1) = sdtpldt0(sdtasdt0(smndt0(sz00),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f75,f233]) ).
fof(f319,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(smndt0(sz10),X0),X1) = sdtpldt0(sdtasdt0(smndt0(sz10),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f75,f232]) ).
fof(f320,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(sz10,X0),X1) = sdtpldt0(sdtasdt0(sz10,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f75,f49]) ).
fof(f321,plain,
! [X0,X1] :
( sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f75,f48]) ).
fof(f322,plain,
sdtasdt0(smndt0(smndt0(sz00)),sz00) = sz00,
inference(resolution,[status(thm)],[f77,f251]) ).
fof(f323,plain,
sdtasdt0(smndt0(smndt0(sz10)),sz00) = sz00,
inference(resolution,[status(thm)],[f77,f243]) ).
fof(f324,plain,
sdtasdt0(smndt0(sz00),sz00) = sz00,
inference(resolution,[status(thm)],[f77,f233]) ).
fof(f325,plain,
sdtasdt0(smndt0(sz10),sz00) = sz00,
inference(resolution,[status(thm)],[f77,f232]) ).
fof(f327,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(resolution,[status(thm)],[f77,f48]) ).
fof(f328,plain,
sz00 = sdtasdt0(sz00,smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f78,f251]) ).
fof(f329,plain,
sz00 = sdtasdt0(sz00,smndt0(smndt0(sz10))),
inference(resolution,[status(thm)],[f78,f243]) ).
fof(f330,plain,
sz00 = sdtasdt0(sz00,smndt0(sz00)),
inference(resolution,[status(thm)],[f78,f233]) ).
fof(f331,plain,
sz00 = sdtasdt0(sz00,smndt0(sz10)),
inference(resolution,[status(thm)],[f78,f232]) ).
fof(f334,plain,
sdtasdt0(smndt0(sz10),smndt0(smndt0(sz00))) = smndt0(smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f80,f251]) ).
fof(f335,plain,
sdtasdt0(smndt0(sz10),smndt0(smndt0(sz10))) = smndt0(smndt0(smndt0(sz10))),
inference(resolution,[status(thm)],[f80,f243]) ).
fof(f336,plain,
sdtasdt0(smndt0(sz10),smndt0(sz00)) = smndt0(smndt0(sz00)),
inference(resolution,[status(thm)],[f80,f233]) ).
fof(f337,plain,
sdtasdt0(smndt0(sz10),smndt0(sz10)) = smndt0(smndt0(sz10)),
inference(resolution,[status(thm)],[f80,f232]) ).
fof(f338,plain,
sdtasdt0(smndt0(sz10),sz10) = smndt0(sz10),
inference(resolution,[status(thm)],[f80,f49]) ).
fof(f339,plain,
sdtasdt0(smndt0(sz10),sz00) = smndt0(sz00),
inference(resolution,[status(thm)],[f80,f48]) ).
fof(f340,plain,
smndt0(smndt0(smndt0(sz00))) = sdtasdt0(smndt0(smndt0(sz00)),smndt0(sz10)),
inference(resolution,[status(thm)],[f81,f251]) ).
fof(f341,plain,
smndt0(smndt0(smndt0(sz10))) = sdtasdt0(smndt0(smndt0(sz10)),smndt0(sz10)),
inference(resolution,[status(thm)],[f81,f243]) ).
fof(f342,plain,
smndt0(smndt0(sz00)) = sdtasdt0(smndt0(sz00),smndt0(sz10)),
inference(resolution,[status(thm)],[f81,f233]) ).
fof(f343,plain,
smndt0(smndt0(sz10)) = sdtasdt0(smndt0(sz10),smndt0(sz10)),
inference(resolution,[status(thm)],[f81,f232]) ).
fof(f344,plain,
smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10)),
inference(resolution,[status(thm)],[f81,f49]) ).
fof(f345,plain,
smndt0(sz00) = sdtasdt0(sz00,smndt0(sz10)),
inference(resolution,[status(thm)],[f81,f48]) ).
fof(f346,plain,
! [X0] :
( X0 = sz00
| smndt0(smndt0(sz00)) = sz00
| sdtasdt0(smndt0(smndt0(sz00)),X0) != sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f83,f251]) ).
fof(f347,plain,
! [X0] :
( X0 = sz00
| smndt0(smndt0(sz10)) = sz00
| sdtasdt0(smndt0(smndt0(sz10)),X0) != sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f83,f243]) ).
fof(f348,plain,
! [X0] :
( X0 = sz00
| smndt0(sz00) = sz00
| sdtasdt0(smndt0(sz00),X0) != sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f83,f233]) ).
fof(f349,plain,
! [X0] :
( X0 = sz00
| smndt0(sz10) = sz00
| sdtasdt0(smndt0(sz10),X0) != sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f83,f232]) ).
fof(f350,plain,
! [X0] :
( X0 = sz00
| sz10 = sz00
| sdtasdt0(sz10,X0) != sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f83,f49]) ).
fof(f351,plain,
! [X0] :
( X0 = sz00
| sz00 = sz00
| sdtasdt0(sz00,X0) != sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f83,f48]) ).
fof(f352,definition,
! [X0] :
( sQ0_spl
<=> ( X0 = sz00
| sdtasdt0(smndt0(smndt0(sz00)),X0) != sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f353,plain,
! [X0] :
( ~ sQ0_spl
| X0 = sz00
| sdtasdt0(smndt0(smndt0(sz00)),X0) != sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,definition,
( sQ1_spl
<=> smndt0(smndt0(sz00)) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f358,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f346,f352,f355]) ).
fof(f359,definition,
! [X0] :
( sQ2_spl
<=> ( X0 = sz00
| sdtasdt0(smndt0(smndt0(sz10)),X0) != sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f360,plain,
! [X0] :
( ~ sQ2_spl
| X0 = sz00
| sdtasdt0(smndt0(smndt0(sz10)),X0) != sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f359]) ).
fof(f362,definition,
( sQ3_spl
<=> smndt0(smndt0(sz10)) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f365,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f347,f359,f362]) ).
fof(f366,definition,
! [X0] :
( sQ4_spl
<=> ( X0 = sz00
| sdtasdt0(smndt0(sz00),X0) != sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f367,plain,
! [X0] :
( ~ sQ4_spl
| X0 = sz00
| sdtasdt0(smndt0(sz00),X0) != sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f366]) ).
fof(f369,definition,
( sQ5_spl
<=> smndt0(sz00) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f372,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f348,f366,f369]) ).
fof(f373,definition,
! [X0] :
( sQ6_spl
<=> ( X0 = sz00
| sdtasdt0(smndt0(sz10),X0) != sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f374,plain,
! [X0] :
( ~ sQ6_spl
| X0 = sz00
| sdtasdt0(smndt0(sz10),X0) != sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f373]) ).
fof(f376,definition,
( sQ7_spl
<=> smndt0(sz10) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f379,plain,
( sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f349,f373,f376]) ).
fof(f380,definition,
! [X0] :
( sQ8_spl
<=> ( X0 = sz00
| sdtasdt0(sz10,X0) != sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f381,plain,
! [X0] :
( ~ sQ8_spl
| X0 = sz00
| sdtasdt0(sz10,X0) != sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ9_spl
<=> sz10 = sz00 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f386,plain,
( sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f350,f380,f383]) ).
fof(f387,definition,
! [X0] :
( sQ10_spl
<=> ( X0 = sz00
| sdtasdt0(sz00,X0) != sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f388,plain,
! [X0] :
( ~ sQ10_spl
| X0 = sz00
| sdtasdt0(sz00,X0) != sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,definition,
( sQ11_spl
<=> sz00 = sz00 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f393,plain,
( sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f351,f387,f390]) ).
fof(f394,plain,
! [X0] :
( ~ sQ10_spl
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f388,f78]) ).
fof(f397,plain,
( ~ sQ10_spl
| smndt0(sz00) = sz00 ),
inference(resolution,[status(thm)],[f394,f233]) ).
fof(f399,plain,
( ~ sQ10_spl
| sz10 = sz00 ),
inference(resolution,[status(thm)],[f394,f49]) ).
fof(f401,plain,
! [X0] :
( ~ sQ10_spl
| smndt0(X0) = sdtasdt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(backward_demodulation,[status(thm)],[f399,f81]) ).
fof(f402,plain,
! [X0] :
( ~ sQ10_spl
| sdtasdt0(smndt0(sz00),X0) = smndt0(X0)
| ~ aInteger0(X0) ),
inference(backward_demodulation,[status(thm)],[f399,f80]) ).
fof(f406,plain,
! [X0] :
( ~ sQ10_spl
| X0 = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ),
inference(backward_demodulation,[status(thm)],[f399,f72]) ).
fof(f407,plain,
! [X0] :
( ~ sQ10_spl
| sdtasdt0(X0,sz00) = X0
| ~ aInteger0(X0) ),
inference(backward_demodulation,[status(thm)],[f399,f71]) ).
fof(f426,plain,
! [X0] :
( ~ sQ10_spl
| aInteger0(sdtpldt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f234]) ).
fof(f429,plain,
! [X0,X1] :
( ~ sQ10_spl
| X0 != sz00
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f111]) ).
fof(f430,plain,
! [X0,X1] :
( ~ sQ10_spl
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f429,f394]) ).
fof(f437,plain,
! [X0] :
( ~ sQ10_spl
| aInteger0(sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f236]) ).
fof(f525,plain,
! [X0] :
( ~ sQ10_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sz10)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f245]) ).
fof(f526,plain,
! [X0] :
( ~ sQ10_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f525]) ).
fof(f528,plain,
! [X0] :
( ~ sQ10_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sz10)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f296]) ).
fof(f529,plain,
! [X0] :
( ~ sQ10_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f528]) ).
fof(f532,plain,
! [X0] :
( ~ sQ10_spl
| smndt0(X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f397,f401]) ).
fof(f535,plain,
! [X0] :
( ~ sQ10_spl
| sdtasdt0(sz00,X0) = smndt0(X0)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f397,f402]) ).
fof(f567,plain,
! [X0,X1] :
( ~ sQ10_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz10,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f238]) ).
fof(f568,plain,
! [X0,X1] :
( ~ sQ10_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f567]) ).
fof(f569,plain,
! [X0] :
( ~ sQ10_spl
| sdtpldt0(sz00,sdtpldt0(sz00,X0)) = sdtpldt0(sdtpldt0(sz00,sz00),X0)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f568,f48]) ).
fof(f570,plain,
! [X0] :
( ~ sQ10_spl
| sdtpldt0(sz00,sdtpldt0(sz00,X0)) = sdtpldt0(sz00,X0)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f255,f569]) ).
fof(f571,plain,
! [X0,X1] :
( ~ sQ10_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz10,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f290]) ).
fof(f572,plain,
! [X0,X1] :
( ~ sQ10_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f571]) ).
fof(f573,plain,
! [X0] :
( ~ sQ10_spl
| sdtasdt0(sz00,sdtasdt0(sz00,X0)) = sdtasdt0(sdtasdt0(sz00,sz00),X0)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f48]) ).
fof(f574,plain,
! [X0] :
( ~ sQ10_spl
| sdtasdt0(sz00,sdtasdt0(sz00,X0)) = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f327,f573]) ).
fof(f591,plain,
! [X0,X1] :
( ~ sQ10_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz10,X0),sdtasdt0(sz10,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f314]) ).
fof(f592,plain,
! [X0,X1] :
( ~ sQ10_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz10,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f591]) ).
fof(f593,plain,
! [X0,X1] :
( ~ sQ10_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f592]) ).
fof(f594,plain,
! [X0] :
( ~ sQ10_spl
| sdtasdt0(sz00,sdtpldt0(sz00,X0)) = sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f593,f48]) ).
fof(f595,plain,
! [X0] :
( ~ sQ10_spl
| sdtasdt0(sz00,sdtpldt0(sz00,X0)) = sdtpldt0(sz00,sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f327,f594]) ).
fof(f612,plain,
! [X0,X1] :
( ~ sQ10_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sz10,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f320]) ).
fof(f613,plain,
! [X0,X1] :
( ~ sQ10_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f399,f612]) ).
fof(f614,plain,
! [X0] :
( ~ sQ10_spl
| sdtasdt0(sdtpldt0(sz00,sz00),X0) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f613,f48]) ).
fof(f615,plain,
! [X0] :
( ~ sQ10_spl
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f255,f614]) ).
fof(model,axiom,
( sQ0_spl
| sQ2_spl
| sQ4_spl
| sQ6_spl
| sQ8_spl
| sQ10_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM446+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.44 % Computer : n026.cluster.edu
% 0.18/0.44 % Model : x86_64 x86_64
% 0.18/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.18/0.44 % Memory : 8046.5625MB
% 0.18/0.44 % OS : Linux 6.8.0-71-generic
% 0.18/0.44 % CPULimit : 300
% 0.18/0.44 % WCLimit : 300
% 0.18/0.44 % DateTime : Mon Sep 21 02:33:37 UTC 2026
% 0.18/0.45 % CPUTime :
% 0.22/0.48 % Drodi V4.1.1
% 0.22/0.65 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.22/0.65 % SZS output start Saturation for theBenchmark
% See solution above
% 0.22/0.69 % Elapsed time: 0.230025 seconds
% 0.22/0.69 % CPU time: 1.424988 seconds
% 0.22/0.69 % Total memory used: 119.726 MB
% 0.22/0.69 % Net memory used: 118.266 MB
%------------------------------------------------------------------------------