%------------------------------------------------------------------------------
% File : Drodi-SAT---4.1.1
% Problem : NUM448+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 : n018.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 01:42:55 PM UTC 2026
% Result : CounterSatisfiable 0.17s 6.26s
% Output : Saturation 0.17s
% 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,
( ! [W0] :
( aInteger0(W0)
=> ( aElementOf0(W0,sbsmnsldt0(xS))
<=> ? [W1] :
( isPrime0(W1)
& aDivisorOf0(W1,W0) ) ) )
=> stldt0(sbsmnsldt0(xS)) = cS2076 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p') ).
fof(f44,negated_conjecture,
~ ( ! [W0] :
( aInteger0(W0)
=> ( aElementOf0(W0,sbsmnsldt0(xS))
<=> ? [W1] :
( isPrime0(W1)
& aDivisorOf0(W1,W0) ) ) )
=> 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
& ! [W0] :
( ( aElementOf0(W0,sbsmnsldt0(xS))
<=> ? [W1] :
( isPrime0(W1)
& aDivisorOf0(W1,W0) ) )
| ~ aInteger0(W0) ) ),
inference(pre_NNF_transformation,[status(thm)],[f44]) ).
fof(f221,plain,
( stldt0(sbsmnsldt0(xS)) != cS2076
& ! [W0] :
( ( ( ! [W1] :
( ~ isPrime0(W1)
| ~ aDivisorOf0(W1,W0) )
| aElementOf0(W0,sbsmnsldt0(xS)) )
& ( ? [W1] :
( isPrime0(W1)
& aDivisorOf0(W1,W0) )
| ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
| ~ aInteger0(W0) ) ),
inference(NNF_transformation,[status(thm)],[f220]) ).
fof(f222,plain,
( stldt0(sbsmnsldt0(xS)) != cS2076
& ! [W0] :
( ( ( ! [W1] :
( ~ isPrime0(W1)
| ~ aDivisorOf0(W1,W0) )
| aElementOf0(W0,sbsmnsldt0(xS)) )
& ( ( isPrime0(sK15_skl(W0))
& aDivisorOf0(sK15_skl(W0),W0) )
| ~ aElementOf0(W0,sbsmnsldt0(xS)) ) )
| ~ aInteger0(W0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl]),skolemize(W1,sK15_skl(W0))],[f221]) ).
fof(f223,plain,
! [X0] :
( aDivisorOf0(sK15_skl(X0),X0)
| ~ aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f224,plain,
! [X0] :
( isPrime0(sK15_skl(X0))
| ~ aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f225,plain,
! [X0,X1] :
( ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0)
| aElementOf0(X0,sbsmnsldt0(xS))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f226,plain,
stldt0(sbsmnsldt0(xS)) != cS2076,
inference(cnf_transformation,[status(thm)],[f222]) ).
fof(f227,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(f228,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)],[f227]) ).
fof(f229,plain,
! [X0,X1,X2] :
( aInteger0(X0)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f230,plain,
! [X0,X1,X2] :
( aElementOf0(X0,X2)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f231,plain,
! [X0,X1,X2] :
( aElementOf0(X0,X1)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f232,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X0,X1)
| ~ aElementOf0(X0,X2)
| ~ aInteger0(X0)
| sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f228]) ).
fof(f233,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(f234,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)],[f233]) ).
fof(f235,plain,
! [X0,X1] :
( aElementOf0(X0,X1)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f234]) ).
fof(f236,plain,
! [X0,X1] :
( ~ aSubsetOf0(X0,cS1395)
| ~ sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f234]) ).
fof(f237,plain,
! [X0,X1] :
( aSubsetOf0(X0,cS1395)
| ~ aElementOf0(X0,X1)
| sP1_prd(X0,X1) ),
inference(cnf_transformation,[status(thm)],[f234]) ).
fof(f238,plain,
! [X0] :
( ~ aDivisorOf0(sz00,X0)
| ~ aInteger0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f89]) ).
fof(f239,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| X0 = sz00
| ~ aInteger0(X0)
| aDivisorOf0(X0,sdtasdt0(X0,X1))
| ~ aInteger0(sdtasdt0(X0,X1)) ),
inference(destructive_equality_resolution,[status(thm)],[f92]) ).
fof(f240,plain,
! [X0] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,sz10)
| ~ aInteger0(sz10) ),
inference(destructive_equality_resolution,[status(thm)],[f111]) ).
fof(f241,plain,
! [X0] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(destructive_equality_resolution,[status(thm)],[f112]) ).
fof(f242,plain,
! [X0,X1] :
( aSet0(sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(destructive_equality_resolution,[status(thm)],[f135]) ).
fof(f243,plain,
! [X0,X1,X2] :
( aInteger0(X2)
| ~ aElementOf0(X2,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(destructive_equality_resolution,[status(thm)],[f136]) ).
fof(f244,plain,
! [X0,X1,X2] :
( aElementOf0(X2,X1)
| aElementOf0(X2,X0)
| ~ aElementOf0(X2,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(destructive_equality_resolution,[status(thm)],[f137]) ).
fof(f245,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X2,X0)
| ~ aInteger0(X2)
| aElementOf0(X2,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(destructive_equality_resolution,[status(thm)],[f138]) ).
fof(f246,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X2,X1)
| ~ aInteger0(X2)
| aElementOf0(X2,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(destructive_equality_resolution,[status(thm)],[f139]) ).
fof(f247,plain,
! [X0,X1] :
( aSet0(sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(destructive_equality_resolution,[status(thm)],[f150]) ).
fof(f248,plain,
! [X0,X1,X2] :
( sP0_prd(X2,X1,X0)
| ~ aElementOf0(X2,sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(destructive_equality_resolution,[status(thm)],[f151]) ).
fof(f249,plain,
! [X0,X1,X2] :
( ~ sP0_prd(X2,X1,X0)
| aElementOf0(X2,sdtslmnbsdt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(destructive_equality_resolution,[status(thm)],[f152]) ).
fof(f250,plain,
! [X0] :
( aSet0(sbsmnsldt0(X0))
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f161]) ).
fof(f251,plain,
! [X0,X1] :
( aInteger0(X1)
| ~ aElementOf0(X1,sbsmnsldt0(X0))
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f162]) ).
fof(f252,plain,
! [X0,X1] :
( aElementOf0(sK6_skl(X1,sbsmnsldt0(X0),X0),X0)
| ~ aElementOf0(X1,sbsmnsldt0(X0))
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f163]) ).
fof(f253,plain,
! [X0,X1] :
( aElementOf0(X1,sK6_skl(X1,sbsmnsldt0(X0),X0))
| ~ aElementOf0(X1,sbsmnsldt0(X0))
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f164]) ).
fof(f254,plain,
! [X0,X1,X2] :
( ~ aElementOf0(X1,X2)
| ~ aElementOf0(X2,X0)
| ~ aInteger0(X1)
| aElementOf0(X1,sbsmnsldt0(X0))
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f165]) ).
fof(f255,plain,
! [X0] :
( aSet0(stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ),
inference(destructive_equality_resolution,[status(thm)],[f174]) ).
fof(f256,plain,
! [X0,X1] :
( aInteger0(X1)
| ~ aElementOf0(X1,stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ),
inference(destructive_equality_resolution,[status(thm)],[f175]) ).
fof(f257,plain,
! [X0,X1] :
( ~ aElementOf0(X1,X0)
| ~ aElementOf0(X1,stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ),
inference(destructive_equality_resolution,[status(thm)],[f176]) ).
fof(f258,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| ~ aInteger0(X1)
| aElementOf0(X1,stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ),
inference(destructive_equality_resolution,[status(thm)],[f177]) ).
fof(f259,plain,
! [X0,X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f185]) ).
fof(f260,plain,
! [X0,X1,X2] :
( aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f186]) ).
fof(f261,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(X2,X0,X1)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f187]) ).
fof(f262,plain,
! [X0,X1,X2] :
( ~ sdteqdtlpzmzozddtrp0(X2,X0,X1)
| ~ aInteger0(X2)
| aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f188]) ).
fof(f263,plain,
aInteger0(smndt0(sz10)),
inference(resolution,[status(thm)],[f51,f49]) ).
fof(f264,plain,
aInteger0(smndt0(sz00)),
inference(resolution,[status(thm)],[f51,f48]) ).
fof(f265,plain,
! [X0] :
( aInteger0(sdtpldt0(sz10,X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f53,f49]) ).
fof(f266,plain,
! [X0] :
( aInteger0(sdtpldt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f53,f48]) ).
fof(f267,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| X0 = sz00
| ~ aInteger0(X0)
| aDivisorOf0(X0,sdtasdt0(X0,X1)) ),
inference(backward_subsumption_resolution,[status(thm)],[f239,f55]) ).
fof(f268,plain,
! [X0] :
( aInteger0(sdtasdt0(sz10,X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f55,f49]) ).
fof(f269,plain,
! [X0] :
( aInteger0(sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f55,f48]) ).
fof(f270,plain,
! [X0] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,sz10) ),
inference(forward_subsumption_resolution,[status(thm)],[f240,f49]) ).
fof(f271,plain,
! [X0] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,smndt0(sz10)) ),
inference(backward_subsumption_resolution,[status(thm)],[f241,f263]) ).
fof(f272,plain,
! [X0] :
( aInteger0(sdtasdt0(smndt0(sz10),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f263,f55]) ).
fof(f273,plain,
! [X0] :
( aInteger0(sdtpldt0(smndt0(sz10),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f263,f53]) ).
fof(f274,plain,
aInteger0(smndt0(smndt0(sz10))),
inference(resolution,[status(thm)],[f263,f51]) ).
fof(f275,plain,
! [X0] :
( aInteger0(sdtasdt0(smndt0(sz00),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f264,f55]) ).
fof(f276,plain,
! [X0] :
( aInteger0(sdtpldt0(smndt0(sz00),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f264,f53]) ).
fof(f277,plain,
aInteger0(smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f264,f51]) ).
fof(f278,plain,
! [X0,X1] :
( sdtpldt0(smndt0(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f57,f264]) ).
fof(f279,plain,
! [X0,X1] :
( sdtpldt0(smndt0(sz10),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(sz10),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f57,f263]) ).
fof(f280,plain,
! [X0,X1] :
( sdtpldt0(sz10,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz10,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f57,f49]) ).
fof(f281,plain,
! [X0,X1] :
( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f57,f48]) ).
fof(f282,plain,
! [X0] :
( sdtpldt0(smndt0(sz00),X0) = sdtpldt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f59,f264]) ).
fof(f283,plain,
! [X0] :
( sdtpldt0(smndt0(sz10),X0) = sdtpldt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f59,f263]) ).
fof(f284,plain,
! [X0] :
( sdtpldt0(sz10,X0) = sdtpldt0(X0,sz10)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f59,f49]) ).
fof(f285,plain,
! [X0] :
( sdtpldt0(sz00,X0) = sdtpldt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f59,f48]) ).
fof(f286,plain,
sdtpldt0(smndt0(sz00),sz00) = smndt0(sz00),
inference(resolution,[status(thm)],[f61,f264]) ).
fof(f287,plain,
sdtpldt0(smndt0(sz10),sz00) = smndt0(sz10),
inference(resolution,[status(thm)],[f61,f263]) ).
fof(f288,plain,
sdtpldt0(sz10,sz00) = sz10,
inference(resolution,[status(thm)],[f61,f49]) ).
fof(f289,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(resolution,[status(thm)],[f61,f48]) ).
fof(f290,plain,
! [X0] :
( ~ aInteger0(X0)
| smndt0(sz00) = sz00
| aDivisorOf0(smndt0(sz00),sdtasdt0(smndt0(sz00),X0)) ),
inference(resolution,[status(thm)],[f267,f264]) ).
fof(f291,plain,
! [X0] :
( ~ aInteger0(X0)
| smndt0(sz10) = sz00
| aDivisorOf0(smndt0(sz10),sdtasdt0(smndt0(sz10),X0)) ),
inference(resolution,[status(thm)],[f267,f263]) ).
fof(f292,plain,
! [X0] :
( ~ aInteger0(X0)
| sz10 = sz00
| aDivisorOf0(sz10,sdtasdt0(sz10,X0)) ),
inference(resolution,[status(thm)],[f267,f49]) ).
fof(f293,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sz00
| aDivisorOf0(sz00,sdtasdt0(sz00,X0)) ),
inference(resolution,[status(thm)],[f267,f48]) ).
fof(f294,definition,
! [X0] :
( sQ0_spl
<=> ( ~ aInteger0(X0)
| aDivisorOf0(smndt0(sz00),sdtasdt0(smndt0(sz00),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f295,plain,
! [X0] :
( ~ sQ0_spl
| ~ aInteger0(X0)
| aDivisorOf0(smndt0(sz00),sdtasdt0(smndt0(sz00),X0)) ),
inference(component_clause,[status(thm)],[f294]) ).
fof(f297,definition,
( sQ1_spl
<=> smndt0(sz00) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f298,plain,
( ~ sQ1_spl
| smndt0(sz00) = sz00 ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f299,plain,
( sQ1_spl
| smndt0(sz00) != sz00 ),
inference(component_clause,[status(thm)],[f297]) ).
fof(f300,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f290,f294,f297]) ).
fof(f301,definition,
! [X0] :
( sQ2_spl
<=> ( ~ aInteger0(X0)
| aDivisorOf0(smndt0(sz10),sdtasdt0(smndt0(sz10),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ2_spl])],[split_symbol_definition]) ).
fof(f302,plain,
! [X0] :
( ~ sQ2_spl
| ~ aInteger0(X0)
| aDivisorOf0(smndt0(sz10),sdtasdt0(smndt0(sz10),X0)) ),
inference(component_clause,[status(thm)],[f301]) ).
fof(f304,definition,
( sQ3_spl
<=> smndt0(sz10) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ3_spl])],[split_symbol_definition]) ).
fof(f305,plain,
( ~ sQ3_spl
| smndt0(sz10) = sz00 ),
inference(component_clause,[status(thm)],[f304]) ).
fof(f307,plain,
( sQ3_spl
| sQ2_spl ),
inference(split_clause,[status(thm)],[f291,f301,f304]) ).
fof(f308,definition,
! [X0] :
( sQ4_spl
<=> ( ~ aInteger0(X0)
| aDivisorOf0(sz10,sdtasdt0(sz10,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ4_spl])],[split_symbol_definition]) ).
fof(f309,plain,
! [X0] :
( ~ sQ4_spl
| ~ aInteger0(X0)
| aDivisorOf0(sz10,sdtasdt0(sz10,X0)) ),
inference(component_clause,[status(thm)],[f308]) ).
fof(f311,definition,
( sQ5_spl
<=> sz10 = sz00 ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f312,plain,
( ~ sQ5_spl
| sz10 = sz00 ),
inference(component_clause,[status(thm)],[f311]) ).
fof(f314,plain,
( sQ5_spl
| sQ4_spl ),
inference(split_clause,[status(thm)],[f292,f308,f311]) ).
fof(f315,definition,
! [X0] :
( sQ6_spl
<=> ( ~ aInteger0(X0)
| aDivisorOf0(sz00,sdtasdt0(sz00,X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ6_spl])],[split_symbol_definition]) ).
fof(f316,plain,
! [X0] :
( ~ sQ6_spl
| ~ aInteger0(X0)
| aDivisorOf0(sz00,sdtasdt0(sz00,X0)) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,definition,
( sQ7_spl
<=> sz00 = sz00 ),
introduced(definition,[new_symbols(definition,[sQ7_spl])],[split_symbol_definition]) ).
fof(f321,plain,
( sQ7_spl
| sQ6_spl ),
inference(split_clause,[status(thm)],[f293,f315,f318]) ).
fof(f322,plain,
( ~ sQ6_spl
| aDivisorOf0(sz00,sdtasdt0(sz00,smndt0(sz00))) ),
inference(resolution,[status(thm)],[f316,f264]) ).
fof(f323,plain,
( ~ sQ6_spl
| aDivisorOf0(sz00,sdtasdt0(sz00,smndt0(sz10))) ),
inference(resolution,[status(thm)],[f316,f263]) ).
fof(f324,plain,
( ~ sQ6_spl
| aDivisorOf0(sz00,sdtasdt0(sz00,sz10)) ),
inference(resolution,[status(thm)],[f316,f49]) ).
fof(f325,plain,
( ~ sQ6_spl
| aDivisorOf0(sz00,sdtasdt0(sz00,sz00)) ),
inference(resolution,[status(thm)],[f316,f48]) ).
fof(f326,plain,
( ~ sQ6_spl
| aDivisorOf0(sz00,sdtasdt0(sz00,smndt0(smndt0(sz10)))) ),
inference(resolution,[status(thm)],[f274,f316]) ).
fof(f327,plain,
! [X0] :
( ~ aInteger0(X0)
| smndt0(smndt0(sz10)) = sz00
| aDivisorOf0(smndt0(smndt0(sz10)),sdtasdt0(smndt0(smndt0(sz10)),X0)) ),
inference(resolution,[status(thm)],[f274,f267]) ).
fof(f328,plain,
sdtpldt0(smndt0(smndt0(sz10)),sz00) = smndt0(smndt0(sz10)),
inference(resolution,[status(thm)],[f274,f61]) ).
fof(f329,plain,
! [X0] :
( sdtpldt0(smndt0(smndt0(sz10)),X0) = sdtpldt0(X0,smndt0(smndt0(sz10)))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f274,f59]) ).
fof(f330,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)],[f274,f57]) ).
fof(f331,plain,
! [X0] :
( aInteger0(sdtasdt0(smndt0(smndt0(sz10)),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f274,f55]) ).
fof(f332,plain,
! [X0] :
( aInteger0(sdtpldt0(smndt0(smndt0(sz10)),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f274,f53]) ).
fof(f333,plain,
aInteger0(smndt0(smndt0(smndt0(sz10)))),
inference(resolution,[status(thm)],[f274,f51]) ).
fof(f334,definition,
! [X0] :
( sQ8_spl
<=> ( ~ aInteger0(X0)
| aDivisorOf0(smndt0(smndt0(sz10)),sdtasdt0(smndt0(smndt0(sz10)),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f335,plain,
! [X0] :
( ~ sQ8_spl
| ~ aInteger0(X0)
| aDivisorOf0(smndt0(smndt0(sz10)),sdtasdt0(smndt0(smndt0(sz10)),X0)) ),
inference(component_clause,[status(thm)],[f334]) ).
fof(f337,definition,
( sQ9_spl
<=> smndt0(smndt0(sz10)) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ9_spl])],[split_symbol_definition]) ).
fof(f338,plain,
( ~ sQ9_spl
| smndt0(smndt0(sz10)) = sz00 ),
inference(component_clause,[status(thm)],[f337]) ).
fof(f340,plain,
( sQ9_spl
| sQ8_spl ),
inference(split_clause,[status(thm)],[f327,f334,f337]) ).
fof(f341,plain,
( ~ sQ6_spl
| aDivisorOf0(sz00,sdtasdt0(sz00,smndt0(smndt0(sz00)))) ),
inference(resolution,[status(thm)],[f277,f316]) ).
fof(f342,plain,
! [X0] :
( ~ aInteger0(X0)
| smndt0(smndt0(sz00)) = sz00
| aDivisorOf0(smndt0(smndt0(sz00)),sdtasdt0(smndt0(smndt0(sz00)),X0)) ),
inference(resolution,[status(thm)],[f277,f267]) ).
fof(f343,plain,
sdtpldt0(smndt0(smndt0(sz00)),sz00) = smndt0(smndt0(sz00)),
inference(resolution,[status(thm)],[f277,f61]) ).
fof(f344,plain,
! [X0] :
( sdtpldt0(smndt0(smndt0(sz00)),X0) = sdtpldt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f277,f59]) ).
fof(f345,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)],[f277,f57]) ).
fof(f346,plain,
! [X0] :
( aInteger0(sdtasdt0(smndt0(smndt0(sz00)),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f277,f55]) ).
fof(f347,plain,
! [X0] :
( aInteger0(sdtpldt0(smndt0(smndt0(sz00)),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f277,f53]) ).
fof(f348,plain,
aInteger0(smndt0(smndt0(smndt0(sz00)))),
inference(resolution,[status(thm)],[f277,f51]) ).
fof(f349,definition,
! [X0] :
( sQ10_spl
<=> ( ~ aInteger0(X0)
| aDivisorOf0(smndt0(smndt0(sz00)),sdtasdt0(smndt0(smndt0(sz00)),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f350,plain,
! [X0] :
( ~ sQ10_spl
| ~ aInteger0(X0)
| aDivisorOf0(smndt0(smndt0(sz00)),sdtasdt0(smndt0(smndt0(sz00)),X0)) ),
inference(component_clause,[status(thm)],[f349]) ).
fof(f352,definition,
( sQ11_spl
<=> smndt0(smndt0(sz00)) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f353,plain,
( ~ sQ11_spl
| smndt0(smndt0(sz00)) = sz00 ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f354,plain,
( sQ11_spl
| smndt0(smndt0(sz00)) != sz00 ),
inference(component_clause,[status(thm)],[f352]) ).
fof(f355,plain,
( sQ11_spl
| sQ10_spl ),
inference(split_clause,[status(thm)],[f342,f349,f352]) ).
fof(f356,plain,
smndt0(smndt0(sz00)) = sdtpldt0(sz00,smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f62,f277]) ).
fof(f357,plain,
smndt0(smndt0(sz10)) = sdtpldt0(sz00,smndt0(smndt0(sz10))),
inference(resolution,[status(thm)],[f62,f274]) ).
fof(f358,plain,
smndt0(sz00) = sdtpldt0(sz00,smndt0(sz00)),
inference(resolution,[status(thm)],[f62,f264]) ).
fof(f359,plain,
smndt0(sz10) = sdtpldt0(sz00,smndt0(sz10)),
inference(resolution,[status(thm)],[f62,f263]) ).
fof(f360,plain,
sz10 = sdtpldt0(sz00,sz10),
inference(resolution,[status(thm)],[f62,f49]) ).
fof(f362,plain,
sdtpldt0(smndt0(smndt0(sz00)),smndt0(smndt0(smndt0(sz00)))) = sz00,
inference(resolution,[status(thm)],[f64,f277]) ).
fof(f363,plain,
sdtpldt0(smndt0(smndt0(sz10)),smndt0(smndt0(smndt0(sz10)))) = sz00,
inference(resolution,[status(thm)],[f64,f274]) ).
fof(f364,plain,
sdtpldt0(smndt0(sz00),smndt0(smndt0(sz00))) = sz00,
inference(resolution,[status(thm)],[f64,f264]) ).
fof(f365,plain,
sdtpldt0(smndt0(sz10),smndt0(smndt0(sz10))) = sz00,
inference(resolution,[status(thm)],[f64,f263]) ).
fof(f366,plain,
sdtpldt0(sz10,smndt0(sz10)) = sz00,
inference(resolution,[status(thm)],[f64,f49]) ).
fof(f367,plain,
sdtpldt0(sz00,smndt0(sz00)) = sz00,
inference(resolution,[status(thm)],[f64,f48]) ).
fof(f368,plain,
sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz00))),smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f65,f277]) ).
fof(f369,plain,
sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz10))),smndt0(smndt0(sz10))),
inference(resolution,[status(thm)],[f65,f274]) ).
fof(f370,plain,
sz00 = sdtpldt0(smndt0(smndt0(sz00)),smndt0(sz00)),
inference(resolution,[status(thm)],[f65,f264]) ).
fof(f371,plain,
sz00 = sdtpldt0(smndt0(smndt0(sz10)),smndt0(sz10)),
inference(resolution,[status(thm)],[f65,f263]) ).
fof(f372,plain,
sz00 = sdtpldt0(smndt0(sz10),sz10),
inference(resolution,[status(thm)],[f65,f49]) ).
fof(f373,plain,
sz00 = sdtpldt0(smndt0(sz00),sz00),
inference(resolution,[status(thm)],[f65,f48]) ).
fof(f374,plain,
( ~ sQ6_spl
| ~ aInteger0(sdtasdt0(sz00,sz10)) ),
inference(resolution,[status(thm)],[f324,f238]) ).
fof(f375,plain,
( ~ sQ6_spl
| ~ isPrime0(sz00)
| aElementOf0(sdtasdt0(sz00,sz10),sbsmnsldt0(xS))
| ~ aInteger0(sdtasdt0(sz00,sz10)) ),
inference(resolution,[status(thm)],[f324,f225]) ).
fof(f377,definition,
( sQ12_spl
<=> aInteger0(sdtasdt0(sz00,sz10)) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f378,plain,
( ~ sQ12_spl
| aInteger0(sdtasdt0(sz00,sz10)) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f379,plain,
( sQ12_spl
| ~ aInteger0(sdtasdt0(sz00,sz10)) ),
inference(component_clause,[status(thm)],[f377]) ).
fof(f380,definition,
( sQ13_spl
<=> aElementOf0(sdtasdt0(sz00,sz10),sbsmnsldt0(xS)) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f381,plain,
( ~ sQ13_spl
| aElementOf0(sdtasdt0(sz00,sz10),sbsmnsldt0(xS)) ),
inference(component_clause,[status(thm)],[f380]) ).
fof(f383,definition,
( sQ14_spl
<=> isPrime0(sz00) ),
introduced(definition,[new_symbols(definition,[sQ14_spl])],[split_symbol_definition]) ).
fof(f384,plain,
( ~ sQ14_spl
| isPrime0(sz00) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f385,plain,
( sQ14_spl
| ~ isPrime0(sz00) ),
inference(component_clause,[status(thm)],[f383]) ).
fof(f386,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sQ13_spl
| ~ sQ12_spl ),
inference(split_clause,[status(thm)],[f375,f377,f380,f383,f315]) ).
fof(f387,definition,
( sQ15_spl
<=> aInteger0(sz00) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f389,plain,
( sQ15_spl
| ~ aInteger0(sz00) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f391,plain,
( ~ sQ6_spl
| ~ aInteger0(sdtasdt0(sz00,sz00)) ),
inference(resolution,[status(thm)],[f325,f238]) ).
fof(f392,plain,
( ~ sQ6_spl
| ~ isPrime0(sz00)
| aElementOf0(sdtasdt0(sz00,sz00),sbsmnsldt0(xS))
| ~ aInteger0(sdtasdt0(sz00,sz00)) ),
inference(resolution,[status(thm)],[f325,f225]) ).
fof(f394,definition,
( sQ16_spl
<=> aInteger0(sdtasdt0(sz00,sz00)) ),
introduced(definition,[new_symbols(definition,[sQ16_spl])],[split_symbol_definition]) ).
fof(f395,plain,
( ~ sQ16_spl
| aInteger0(sdtasdt0(sz00,sz00)) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f396,plain,
( sQ16_spl
| ~ aInteger0(sdtasdt0(sz00,sz00)) ),
inference(component_clause,[status(thm)],[f394]) ).
fof(f397,definition,
( sQ17_spl
<=> aElementOf0(sdtasdt0(sz00,sz00),sbsmnsldt0(xS)) ),
introduced(definition,[new_symbols(definition,[sQ17_spl])],[split_symbol_definition]) ).
fof(f398,plain,
( ~ sQ17_spl
| aElementOf0(sdtasdt0(sz00,sz00),sbsmnsldt0(xS)) ),
inference(component_clause,[status(thm)],[f397]) ).
fof(f400,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sQ17_spl
| ~ sQ16_spl ),
inference(split_clause,[status(thm)],[f392,f394,f397,f383,f315]) ).
fof(f402,plain,
( ~ sQ4_spl
| aDivisorOf0(sz10,sdtasdt0(sz10,smndt0(smndt0(sz00)))) ),
inference(resolution,[status(thm)],[f309,f277]) ).
fof(f403,plain,
( ~ sQ4_spl
| aDivisorOf0(sz10,sdtasdt0(sz10,smndt0(smndt0(sz10)))) ),
inference(resolution,[status(thm)],[f309,f274]) ).
fof(f404,plain,
( ~ sQ4_spl
| aDivisorOf0(sz10,sdtasdt0(sz10,smndt0(sz00))) ),
inference(resolution,[status(thm)],[f309,f264]) ).
fof(f405,plain,
( ~ sQ4_spl
| aDivisorOf0(sz10,sdtasdt0(sz10,smndt0(sz10))) ),
inference(resolution,[status(thm)],[f309,f263]) ).
fof(f406,plain,
( ~ sQ4_spl
| aDivisorOf0(sz10,sdtasdt0(sz10,sz10)) ),
inference(resolution,[status(thm)],[f309,f49]) ).
fof(f407,plain,
( ~ sQ4_spl
| aDivisorOf0(sz10,sdtasdt0(sz10,sz00)) ),
inference(resolution,[status(thm)],[f309,f48]) ).
fof(f408,plain,
( ~ sQ2_spl
| aDivisorOf0(smndt0(sz10),sdtasdt0(smndt0(sz10),smndt0(smndt0(sz00)))) ),
inference(resolution,[status(thm)],[f302,f277]) ).
fof(f409,plain,
( ~ sQ2_spl
| aDivisorOf0(smndt0(sz10),sdtasdt0(smndt0(sz10),smndt0(smndt0(sz10)))) ),
inference(resolution,[status(thm)],[f302,f274]) ).
fof(f410,plain,
( ~ sQ2_spl
| aDivisorOf0(smndt0(sz10),sdtasdt0(smndt0(sz10),smndt0(sz00))) ),
inference(resolution,[status(thm)],[f302,f264]) ).
fof(f411,plain,
( ~ sQ2_spl
| aDivisorOf0(smndt0(sz10),sdtasdt0(smndt0(sz10),smndt0(sz10))) ),
inference(resolution,[status(thm)],[f302,f263]) ).
fof(f412,plain,
( ~ sQ2_spl
| aDivisorOf0(smndt0(sz10),sdtasdt0(smndt0(sz10),sz10)) ),
inference(resolution,[status(thm)],[f302,f49]) ).
fof(f413,plain,
( ~ sQ2_spl
| aDivisorOf0(smndt0(sz10),sdtasdt0(smndt0(sz10),sz00)) ),
inference(resolution,[status(thm)],[f302,f48]) ).
fof(f414,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,f277]) ).
fof(f415,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,f274]) ).
fof(f416,plain,
! [X0,X1] :
( sdtasdt0(smndt0(sz00),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f67,f264]) ).
fof(f417,plain,
! [X0,X1] :
( sdtasdt0(smndt0(sz10),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(sz10),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f67,f263]) ).
fof(f418,plain,
! [X0,X1] :
( sdtasdt0(sz10,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz10,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f67,f49]) ).
fof(f419,plain,
! [X0,X1] :
( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f67,f48]) ).
fof(f420,plain,
! [X0] :
( sdtasdt0(smndt0(smndt0(sz00)),X0) = sdtasdt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f69,f277]) ).
fof(f421,plain,
! [X0] :
( sdtasdt0(smndt0(smndt0(sz10)),X0) = sdtasdt0(X0,smndt0(smndt0(sz10)))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f69,f274]) ).
fof(f422,plain,
! [X0] :
( sdtasdt0(smndt0(sz00),X0) = sdtasdt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f69,f264]) ).
fof(f423,plain,
! [X0] :
( sdtasdt0(smndt0(sz10),X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f69,f263]) ).
fof(f424,plain,
! [X0] :
( sdtasdt0(sz10,X0) = sdtasdt0(X0,sz10)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f69,f49]) ).
fof(f425,plain,
! [X0] :
( sdtasdt0(sz00,X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f69,f48]) ).
fof(f426,plain,
sdtasdt0(smndt0(smndt0(sz00)),sz10) = smndt0(smndt0(sz00)),
inference(resolution,[status(thm)],[f71,f277]) ).
fof(f427,plain,
sdtasdt0(smndt0(smndt0(sz10)),sz10) = smndt0(smndt0(sz10)),
inference(resolution,[status(thm)],[f71,f274]) ).
fof(f428,plain,
sdtasdt0(smndt0(sz00),sz10) = smndt0(sz00),
inference(resolution,[status(thm)],[f71,f264]) ).
fof(f429,plain,
sdtasdt0(smndt0(sz10),sz10) = smndt0(sz10),
inference(resolution,[status(thm)],[f71,f263]) ).
fof(f430,plain,
sdtasdt0(sz10,sz10) = sz10,
inference(resolution,[status(thm)],[f71,f49]) ).
fof(f431,plain,
sdtasdt0(sz00,sz10) = sz00,
inference(resolution,[status(thm)],[f71,f48]) ).
fof(f432,plain,
( ~ sQ0_spl
| aDivisorOf0(smndt0(sz00),sdtasdt0(smndt0(sz00),smndt0(smndt0(sz00)))) ),
inference(resolution,[status(thm)],[f295,f277]) ).
fof(f433,plain,
( ~ sQ0_spl
| aDivisorOf0(smndt0(sz00),sdtasdt0(smndt0(sz00),smndt0(smndt0(sz10)))) ),
inference(resolution,[status(thm)],[f295,f274]) ).
fof(f434,plain,
( ~ sQ0_spl
| aDivisorOf0(smndt0(sz00),sdtasdt0(smndt0(sz00),smndt0(sz00))) ),
inference(resolution,[status(thm)],[f295,f264]) ).
fof(f435,plain,
( ~ sQ0_spl
| aDivisorOf0(smndt0(sz00),sdtasdt0(smndt0(sz00),smndt0(sz10))) ),
inference(resolution,[status(thm)],[f295,f263]) ).
fof(f436,plain,
( ~ sQ0_spl
| aDivisorOf0(smndt0(sz00),sdtasdt0(smndt0(sz00),sz10)) ),
inference(resolution,[status(thm)],[f295,f49]) ).
fof(f437,plain,
( ~ sQ0_spl
| aDivisorOf0(smndt0(sz00),sdtasdt0(smndt0(sz00),sz00)) ),
inference(resolution,[status(thm)],[f295,f48]) ).
fof(f438,plain,
( ~ sQ4_spl
| ~ isPrime0(sz10)
| aElementOf0(sdtasdt0(sz10,sz10),sbsmnsldt0(xS))
| ~ aInteger0(sdtasdt0(sz10,sz10)) ),
inference(resolution,[status(thm)],[f406,f225]) ).
fof(f439,plain,
( ~ sQ4_spl
| aInteger0(sz10)
| ~ aInteger0(sdtasdt0(sz10,sz10)) ),
inference(resolution,[status(thm)],[f406,f88]) ).
fof(f440,definition,
( sQ18_spl
<=> aInteger0(sdtasdt0(sz10,sz10)) ),
introduced(definition,[new_symbols(definition,[sQ18_spl])],[split_symbol_definition]) ).
fof(f442,plain,
( sQ18_spl
| ~ aInteger0(sdtasdt0(sz10,sz10)) ),
inference(component_clause,[status(thm)],[f440]) ).
fof(f443,definition,
( sQ19_spl
<=> aElementOf0(sdtasdt0(sz10,sz10),sbsmnsldt0(xS)) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f444,plain,
( ~ sQ19_spl
| aElementOf0(sdtasdt0(sz10,sz10),sbsmnsldt0(xS)) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f445,plain,
( sQ19_spl
| ~ aElementOf0(sdtasdt0(sz10,sz10),sbsmnsldt0(xS)) ),
inference(component_clause,[status(thm)],[f443]) ).
fof(f446,definition,
( sQ20_spl
<=> isPrime0(sz10) ),
introduced(definition,[new_symbols(definition,[sQ20_spl])],[split_symbol_definition]) ).
fof(f447,plain,
( ~ sQ20_spl
| isPrime0(sz10) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f448,plain,
( sQ20_spl
| ~ isPrime0(sz10) ),
inference(component_clause,[status(thm)],[f446]) ).
fof(f449,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sQ19_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f438,f440,f443,f446,f308]) ).
fof(f450,definition,
( sQ21_spl
<=> aInteger0(sz10) ),
introduced(definition,[new_symbols(definition,[sQ21_spl])],[split_symbol_definition]) ).
fof(f452,plain,
( sQ21_spl
| ~ aInteger0(sz10) ),
inference(component_clause,[status(thm)],[f450]) ).
fof(f453,plain,
( ~ sQ4_spl
| sQ21_spl
| ~ sQ18_spl ),
inference(split_clause,[status(thm)],[f439,f440,f450,f308]) ).
fof(f454,plain,
( ~ sQ6_spl
| ~ aInteger0(sdtasdt0(sz00,smndt0(sz00))) ),
inference(resolution,[status(thm)],[f322,f238]) ).
fof(f455,plain,
( ~ sQ6_spl
| ~ isPrime0(sz00)
| aElementOf0(sdtasdt0(sz00,smndt0(sz00)),sbsmnsldt0(xS))
| ~ aInteger0(sdtasdt0(sz00,smndt0(sz00))) ),
inference(resolution,[status(thm)],[f322,f225]) ).
fof(f457,definition,
( sQ22_spl
<=> aInteger0(sdtasdt0(sz00,smndt0(sz00))) ),
introduced(definition,[new_symbols(definition,[sQ22_spl])],[split_symbol_definition]) ).
fof(f458,plain,
( ~ sQ22_spl
| aInteger0(sdtasdt0(sz00,smndt0(sz00))) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f459,plain,
( sQ22_spl
| ~ aInteger0(sdtasdt0(sz00,smndt0(sz00))) ),
inference(component_clause,[status(thm)],[f457]) ).
fof(f460,definition,
( sQ23_spl
<=> aElementOf0(sdtasdt0(sz00,smndt0(sz00)),sbsmnsldt0(xS)) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f461,plain,
( ~ sQ23_spl
| aElementOf0(sdtasdt0(sz00,smndt0(sz00)),sbsmnsldt0(xS)) ),
inference(component_clause,[status(thm)],[f460]) ).
fof(f463,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sQ23_spl
| ~ sQ22_spl ),
inference(split_clause,[status(thm)],[f455,f457,f460,f383,f315]) ).
fof(f465,plain,
( ~ sQ6_spl
| ~ aInteger0(sdtasdt0(sz00,smndt0(sz10))) ),
inference(resolution,[status(thm)],[f323,f238]) ).
fof(f466,plain,
( ~ sQ6_spl
| ~ isPrime0(sz00)
| aElementOf0(sdtasdt0(sz00,smndt0(sz10)),sbsmnsldt0(xS))
| ~ aInteger0(sdtasdt0(sz00,smndt0(sz10))) ),
inference(resolution,[status(thm)],[f323,f225]) ).
fof(f468,definition,
( sQ24_spl
<=> aInteger0(sdtasdt0(sz00,smndt0(sz10))) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f469,plain,
( ~ sQ24_spl
| aInteger0(sdtasdt0(sz00,smndt0(sz10))) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f470,plain,
( sQ24_spl
| ~ aInteger0(sdtasdt0(sz00,smndt0(sz10))) ),
inference(component_clause,[status(thm)],[f468]) ).
fof(f471,definition,
( sQ25_spl
<=> aElementOf0(sdtasdt0(sz00,smndt0(sz10)),sbsmnsldt0(xS)) ),
introduced(definition,[new_symbols(definition,[sQ25_spl])],[split_symbol_definition]) ).
fof(f472,plain,
( ~ sQ25_spl
| aElementOf0(sdtasdt0(sz00,smndt0(sz10)),sbsmnsldt0(xS)) ),
inference(component_clause,[status(thm)],[f471]) ).
fof(f474,plain,
( ~ sQ6_spl
| ~ sQ14_spl
| sQ25_spl
| ~ sQ24_spl ),
inference(split_clause,[status(thm)],[f466,f468,f471,f383,f315]) ).
fof(f476,plain,
( ~ sQ4_spl
| aDivisorOf0(sz10,sz10) ),
inference(backward_demodulation,[status(thm)],[f430,f406]) ).
fof(f477,plain,
smndt0(smndt0(sz00)) = sdtasdt0(sz10,smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f72,f277]) ).
fof(f478,plain,
smndt0(smndt0(sz10)) = sdtasdt0(sz10,smndt0(smndt0(sz10))),
inference(resolution,[status(thm)],[f72,f274]) ).
fof(f479,plain,
smndt0(sz00) = sdtasdt0(sz10,smndt0(sz00)),
inference(resolution,[status(thm)],[f72,f264]) ).
fof(f480,plain,
smndt0(sz10) = sdtasdt0(sz10,smndt0(sz10)),
inference(resolution,[status(thm)],[f72,f263]) ).
fof(f482,plain,
sz00 = sdtasdt0(sz10,sz00),
inference(resolution,[status(thm)],[f72,f48]) ).
fof(f483,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,f277]) ).
fof(f484,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,f274]) ).
fof(f485,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,f264]) ).
fof(f486,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,f263]) ).
fof(f487,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(f488,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(f489,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,f277]) ).
fof(f490,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,f274]) ).
fof(f491,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,f264]) ).
fof(f492,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,f263]) ).
fof(f493,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(f494,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(f495,plain,
( sQ18_spl
| ~ aInteger0(sz10) ),
inference(forward_demodulation,[status(thm)],[f430,f442]) ).
fof(f496,plain,
( sQ18_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f495,f49]) ).
fof(f497,plain,
sQ18_spl,
inference(contradiction_clause,[status(thm)],[f496]) ).
fof(f498,plain,
( ~ sQ19_spl
| aElementOf0(sz10,sbsmnsldt0(xS)) ),
inference(forward_demodulation,[status(thm)],[f430,f444]) ).
fof(f500,plain,
( ~ sQ19_spl
| isPrime0(sK15_skl(sz10))
| ~ aInteger0(sz10) ),
inference(resolution,[status(thm)],[f498,f224]) ).
fof(f501,plain,
( ~ sQ19_spl
| aDivisorOf0(sK15_skl(sz10),sz10)
| ~ aInteger0(sz10) ),
inference(resolution,[status(thm)],[f498,f223]) ).
fof(f502,definition,
( sQ26_spl
<=> isPrime0(sK15_skl(sz10)) ),
introduced(definition,[new_symbols(definition,[sQ26_spl])],[split_symbol_definition]) ).
fof(f503,plain,
( ~ sQ26_spl
| isPrime0(sK15_skl(sz10)) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f504,plain,
( sQ26_spl
| ~ isPrime0(sK15_skl(sz10)) ),
inference(component_clause,[status(thm)],[f502]) ).
fof(f505,plain,
( ~ sQ19_spl
| sQ26_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f500,f450,f502,f443]) ).
fof(f506,definition,
( sQ27_spl
<=> aDivisorOf0(sK15_skl(sz10),sz10) ),
introduced(definition,[new_symbols(definition,[sQ27_spl])],[split_symbol_definition]) ).
fof(f507,plain,
( ~ sQ27_spl
| aDivisorOf0(sK15_skl(sz10),sz10) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f508,plain,
( sQ27_spl
| ~ aDivisorOf0(sK15_skl(sz10),sz10) ),
inference(component_clause,[status(thm)],[f506]) ).
fof(f509,plain,
( ~ sQ19_spl
| sQ27_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f501,f450,f506,f443]) ).
fof(f510,plain,
( ~ sQ4_spl
| ~ isPrime0(sz10) ),
inference(resolution,[status(thm)],[f476,f270]) ).
fof(f511,plain,
( ~ sQ4_spl
| ~ isPrime0(sz10)
| aElementOf0(sz10,sbsmnsldt0(xS))
| ~ aInteger0(sz10) ),
inference(resolution,[status(thm)],[f476,f225]) ).
fof(f513,definition,
( sQ28_spl
<=> aElementOf0(sz10,sbsmnsldt0(xS)) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( ~ sQ28_spl
| aElementOf0(sz10,sbsmnsldt0(xS)) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f515,plain,
( sQ28_spl
| ~ aElementOf0(sz10,sbsmnsldt0(xS)) ),
inference(component_clause,[status(thm)],[f513]) ).
fof(f516,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sQ28_spl
| ~ sQ21_spl ),
inference(split_clause,[status(thm)],[f511,f450,f513,f446,f308]) ).
fof(f518,plain,
( ~ sQ4_spl
| ~ isPrime0(sz10)
| aElementOf0(sdtasdt0(sz10,smndt0(sz00)),sbsmnsldt0(xS))
| ~ aInteger0(sdtasdt0(sz10,smndt0(sz00))) ),
inference(resolution,[status(thm)],[f404,f225]) ).
fof(f519,plain,
( ~ sQ4_spl
| aInteger0(sz10)
| ~ aInteger0(sdtasdt0(sz10,smndt0(sz00))) ),
inference(resolution,[status(thm)],[f404,f88]) ).
fof(f520,definition,
( sQ29_spl
<=> aInteger0(sdtasdt0(sz10,smndt0(sz00))) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f521,plain,
( ~ sQ29_spl
| aInteger0(sdtasdt0(sz10,smndt0(sz00))) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f522,plain,
( sQ29_spl
| ~ aInteger0(sdtasdt0(sz10,smndt0(sz00))) ),
inference(component_clause,[status(thm)],[f520]) ).
fof(f523,definition,
( sQ30_spl
<=> aElementOf0(sdtasdt0(sz10,smndt0(sz00)),sbsmnsldt0(xS)) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f524,plain,
( ~ sQ30_spl
| aElementOf0(sdtasdt0(sz10,smndt0(sz00)),sbsmnsldt0(xS)) ),
inference(component_clause,[status(thm)],[f523]) ).
fof(f526,plain,
( ~ sQ4_spl
| ~ sQ20_spl
| sQ30_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f518,f520,f523,f446,f308]) ).
fof(f527,plain,
( ~ sQ4_spl
| sQ21_spl
| ~ sQ29_spl ),
inference(split_clause,[status(thm)],[f519,f520,f450,f308]) ).
fof(f528,plain,
! [X0] :
( ~ sQ5_spl
| X0 = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ),
inference(backward_demodulation,[status(thm)],[f312,f72]) ).
fof(f531,plain,
! [X0] :
( ~ sQ5_spl
| sdtasdt0(X0,sz00) = X0
| ~ aInteger0(X0) ),
inference(backward_demodulation,[status(thm)],[f312,f71]) ).
fof(f534,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ5_spl
| ~ aInteger0(X0)
| aDivisorOf0(smndt0(sz10),sdtasdt0(smndt0(sz00),X0)) ),
inference(backward_demodulation,[status(thm)],[f312,f302]) ).
fof(f537,plain,
! [X0] :
( ~ sQ5_spl
| ~ isPrime0(X0)
| ~ aDivisorOf0(X0,smndt0(sz00)) ),
inference(backward_demodulation,[status(thm)],[f312,f271]) ).
fof(f539,plain,
! [X0] :
( ~ sQ5_spl
| ~ isPrime0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(backward_demodulation,[status(thm)],[f312,f270]) ).
fof(f545,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ5_spl
| ~ aInteger0(X0)
| aDivisorOf0(smndt0(sz00),sdtasdt0(smndt0(sz00),X0)) ),
inference(forward_demodulation,[status(thm)],[f312,f534]) ).
fof(f546,plain,
( sQ20_spl
| ~ sQ5_spl
| ~ isPrime0(sz00) ),
inference(forward_demodulation,[status(thm)],[f312,f448]) ).
fof(f547,plain,
( ~ sQ26_spl
| ~ sQ5_spl
| isPrime0(sK15_skl(sz00)) ),
inference(forward_demodulation,[status(thm)],[f312,f503]) ).
fof(f548,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| aDivisorOf0(sz00,sz00) ),
inference(backward_demodulation,[status(thm)],[f549,f325]) ).
fof(f549,plain,
( ~ sQ5_spl
| sdtasdt0(sz00,sz00) = sz00 ),
inference(forward_demodulation,[status(thm)],[f312,f431]) ).
fof(f550,plain,
sdtasdt0(smndt0(smndt0(sz00)),sz00) = sz00,
inference(resolution,[status(thm)],[f77,f277]) ).
fof(f551,plain,
sdtasdt0(smndt0(sz00),sz00) = sz00,
inference(resolution,[status(thm)],[f77,f264]) ).
fof(f552,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(resolution,[status(thm)],[f77,f48]) ).
fof(f553,plain,
sz00 = sdtasdt0(sz00,smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f78,f277]) ).
fof(f554,plain,
sz00 = sdtasdt0(sz00,smndt0(sz00)),
inference(resolution,[status(thm)],[f78,f264]) ).
fof(f555,plain,
sz00 = sdtasdt0(sz00,sz00),
inference(resolution,[status(thm)],[f78,f48]) ).
fof(f556,plain,
! [X0] :
( ~ sQ5_spl
| sdtasdt0(smndt0(sz00),X0) = smndt0(X0)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f80]) ).
fof(f557,plain,
( ~ sQ5_spl
| sdtasdt0(smndt0(sz00),smndt0(smndt0(sz00))) = smndt0(smndt0(smndt0(sz00))) ),
inference(resolution,[status(thm)],[f556,f277]) ).
fof(f558,plain,
( ~ sQ5_spl
| sdtasdt0(smndt0(sz00),smndt0(sz00)) = smndt0(smndt0(sz00)) ),
inference(resolution,[status(thm)],[f556,f264]) ).
fof(f559,plain,
( ~ sQ5_spl
| sdtasdt0(smndt0(sz00),sz00) = smndt0(sz00) ),
inference(resolution,[status(thm)],[f556,f48]) ).
fof(f560,plain,
( ~ sQ27_spl
| ~ sQ5_spl
| aDivisorOf0(sK15_skl(sz00),sz10) ),
inference(forward_demodulation,[status(thm)],[f312,f507]) ).
fof(f561,plain,
( ~ sQ27_spl
| ~ sQ5_spl
| aDivisorOf0(sK15_skl(sz00),sz00) ),
inference(forward_demodulation,[status(thm)],[f312,f560]) ).
fof(f562,plain,
( ~ sQ27_spl
| ~ sQ5_spl
| ~ isPrime0(sK15_skl(sz00))
| aElementOf0(sz00,sbsmnsldt0(xS))
| ~ aInteger0(sz00) ),
inference(resolution,[status(thm)],[f561,f225]) ).
fof(f563,plain,
( ~ sQ27_spl
| ~ sQ5_spl
| aInteger0(sK15_skl(sz00))
| ~ aInteger0(sz00) ),
inference(resolution,[status(thm)],[f561,f88]) ).
fof(f564,definition,
( sQ31_spl
<=> aElementOf0(sz00,sbsmnsldt0(xS)) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f565,plain,
( ~ sQ31_spl
| aElementOf0(sz00,sbsmnsldt0(xS)) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f566,plain,
( sQ31_spl
| ~ aElementOf0(sz00,sbsmnsldt0(xS)) ),
inference(component_clause,[status(thm)],[f564]) ).
fof(f567,definition,
( sQ32_spl
<=> isPrime0(sK15_skl(sz00)) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f568,plain,
( ~ sQ32_spl
| isPrime0(sK15_skl(sz00)) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f569,plain,
( sQ32_spl
| ~ isPrime0(sK15_skl(sz00)) ),
inference(component_clause,[status(thm)],[f567]) ).
fof(f570,plain,
( ~ sQ27_spl
| ~ sQ5_spl
| ~ sQ32_spl
| sQ31_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f562,f387,f564,f567,f311,f506]) ).
fof(f571,definition,
( sQ33_spl
<=> aInteger0(sK15_skl(sz00)) ),
introduced(definition,[new_symbols(definition,[sQ33_spl])],[split_symbol_definition]) ).
fof(f572,plain,
( ~ sQ33_spl
| aInteger0(sK15_skl(sz00)) ),
inference(component_clause,[status(thm)],[f571]) ).
fof(f574,plain,
( ~ sQ27_spl
| ~ sQ5_spl
| sQ33_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f563,f387,f571,f311,f506]) ).
fof(f575,plain,
( sQ32_spl
| ~ sQ26_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f569,f547]) ).
fof(f576,plain,
( sQ32_spl
| ~ sQ26_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f575]) ).
fof(f577,plain,
( sQ21_spl
| ~ sQ5_spl
| ~ aInteger0(sz00) ),
inference(forward_demodulation,[status(thm)],[f312,f452]) ).
fof(f578,plain,
( sQ21_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f577,f48]) ).
fof(f579,plain,
( sQ21_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f578]) ).
fof(f580,plain,
( sQ26_spl
| ~ sQ5_spl
| ~ isPrime0(sK15_skl(sz00)) ),
inference(forward_demodulation,[status(thm)],[f312,f504]) ).
fof(f581,plain,
( sQ19_spl
| ~ sQ5_spl
| ~ aElementOf0(sdtasdt0(sz00,sz10),sbsmnsldt0(xS)) ),
inference(forward_demodulation,[status(thm)],[f312,f445]) ).
fof(f582,plain,
( sQ19_spl
| ~ sQ5_spl
| ~ aElementOf0(sdtasdt0(sz00,sz00),sbsmnsldt0(xS)) ),
inference(forward_demodulation,[status(thm)],[f312,f581]) ).
fof(f583,plain,
( sQ19_spl
| ~ sQ5_spl
| ~ aElementOf0(sz00,sbsmnsldt0(xS)) ),
inference(forward_demodulation,[status(thm)],[f549,f582]) ).
fof(f584,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ aInteger0(sdtasdt0(sz00,smndt0(sz00))) ),
inference(forward_demodulation,[status(thm)],[f312,f522]) ).
fof(f585,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ aInteger0(sz00) ),
inference(resolution,[status(thm)],[f548,f238]) ).
fof(f586,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| ~ isPrime0(sz00)
| aElementOf0(sz00,sbsmnsldt0(xS))
| ~ aInteger0(sz00) ),
inference(resolution,[status(thm)],[f548,f225]) ).
fof(f587,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| aInteger0(sz00)
| ~ aInteger0(sz00) ),
inference(resolution,[status(thm)],[f548,f88]) ).
fof(f588,plain,
( ~ sQ6_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f585,f48]) ).
fof(f589,plain,
( ~ sQ6_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f588]) ).
fof(f590,plain,
( ~ sQ5_spl
| ~ sQ33_spl
| sdtasdt0(smndt0(sz00),sK15_skl(sz00)) = smndt0(sK15_skl(sz00)) ),
inference(resolution,[status(thm)],[f572,f556]) ).
fof(f591,plain,
( ~ sQ33_spl
| sz00 = sdtasdt0(sz00,sK15_skl(sz00)) ),
inference(resolution,[status(thm)],[f572,f78]) ).
fof(f592,plain,
( ~ sQ33_spl
| sdtasdt0(sK15_skl(sz00),sz00) = sz00 ),
inference(resolution,[status(thm)],[f572,f77]) ).
fof(f593,plain,
! [X0,X1] :
( ~ sQ33_spl
| sdtasdt0(sdtpldt0(sK15_skl(sz00),X0),X1) = sdtpldt0(sdtasdt0(sK15_skl(sz00),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f75]) ).
fof(f594,plain,
! [X0,X1] :
( ~ sQ33_spl
| sdtasdt0(sK15_skl(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sK15_skl(sz00),X0),sdtasdt0(sK15_skl(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f74]) ).
fof(f595,plain,
( ~ sQ0_spl
| ~ sQ33_spl
| aDivisorOf0(smndt0(sz00),sdtasdt0(smndt0(sz00),sK15_skl(sz00))) ),
inference(resolution,[status(thm)],[f572,f295]) ).
fof(f596,plain,
! [X0] :
( ~ sQ33_spl
| sdtasdt0(sK15_skl(sz00),X0) = sdtasdt0(X0,sK15_skl(sz00))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f69]) ).
fof(f597,plain,
! [X0,X1] :
( ~ sQ33_spl
| sdtasdt0(sK15_skl(sz00),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sK15_skl(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f67]) ).
fof(f598,plain,
( ~ sQ33_spl
| sz00 = sdtpldt0(smndt0(sK15_skl(sz00)),sK15_skl(sz00)) ),
inference(resolution,[status(thm)],[f572,f65]) ).
fof(f599,plain,
( ~ sQ33_spl
| sdtpldt0(sK15_skl(sz00),smndt0(sK15_skl(sz00))) = sz00 ),
inference(resolution,[status(thm)],[f572,f64]) ).
fof(f600,plain,
( ~ sQ33_spl
| sK15_skl(sz00) = sdtpldt0(sz00,sK15_skl(sz00)) ),
inference(resolution,[status(thm)],[f572,f62]) ).
fof(f601,plain,
! [X0] :
( ~ sQ33_spl
| ~ aInteger0(X0)
| sK15_skl(sz00) = sz00
| aDivisorOf0(sK15_skl(sz00),sdtasdt0(sK15_skl(sz00),X0)) ),
inference(resolution,[status(thm)],[f572,f267]) ).
fof(f602,plain,
( ~ sQ33_spl
| sdtpldt0(sK15_skl(sz00),sz00) = sK15_skl(sz00) ),
inference(resolution,[status(thm)],[f572,f61]) ).
fof(f603,plain,
! [X0] :
( ~ sQ33_spl
| sdtpldt0(sK15_skl(sz00),X0) = sdtpldt0(X0,sK15_skl(sz00))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f59]) ).
fof(f604,plain,
! [X0,X1] :
( ~ sQ33_spl
| sdtpldt0(sK15_skl(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sK15_skl(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f57]) ).
fof(f605,plain,
! [X0] :
( ~ sQ33_spl
| aInteger0(sdtasdt0(sK15_skl(sz00),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f55]) ).
fof(f606,plain,
! [X0] :
( ~ sQ33_spl
| aInteger0(sdtpldt0(sK15_skl(sz00),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f53]) ).
fof(f607,plain,
( ~ sQ33_spl
| aInteger0(smndt0(sK15_skl(sz00))) ),
inference(resolution,[status(thm)],[f572,f51]) ).
fof(f608,definition,
! [X0] :
( sQ34_spl
<=> ( ~ aInteger0(X0)
| aDivisorOf0(sK15_skl(sz00),sdtasdt0(sK15_skl(sz00),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ34_spl])],[split_symbol_definition]) ).
fof(f609,plain,
! [X0] :
( ~ sQ34_spl
| ~ aInteger0(X0)
| aDivisorOf0(sK15_skl(sz00),sdtasdt0(sK15_skl(sz00),X0)) ),
inference(component_clause,[status(thm)],[f608]) ).
fof(f611,definition,
( sQ35_spl
<=> sK15_skl(sz00) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f612,plain,
( ~ sQ35_spl
| sK15_skl(sz00) = sz00 ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f613,plain,
( sQ35_spl
| sK15_skl(sz00) != sz00 ),
inference(component_clause,[status(thm)],[f611]) ).
fof(f614,plain,
( ~ sQ33_spl
| sQ35_spl
| sQ34_spl ),
inference(split_clause,[status(thm)],[f601,f608,f611,f571]) ).
fof(f615,plain,
( ~ sQ30_spl
| ~ sQ5_spl
| aElementOf0(sdtasdt0(sz00,smndt0(sz00)),sbsmnsldt0(xS)) ),
inference(forward_demodulation,[status(thm)],[f312,f524]) ).
fof(f616,plain,
( ~ sQ28_spl
| ~ sQ5_spl
| aElementOf0(sz00,sbsmnsldt0(xS)) ),
inference(forward_demodulation,[status(thm)],[f312,f514]) ).
fof(f617,plain,
( ~ sQ25_spl
| ~ sQ5_spl
| aElementOf0(sdtasdt0(sz00,smndt0(sz00)),sbsmnsldt0(xS)) ),
inference(forward_demodulation,[status(thm)],[f312,f472]) ).
fof(f618,plain,
( ~ sQ17_spl
| ~ sQ5_spl
| aElementOf0(sz00,sbsmnsldt0(xS)) ),
inference(forward_demodulation,[status(thm)],[f549,f398]) ).
fof(f619,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| aElementOf0(sdtasdt0(sz00,sz00),sbsmnsldt0(xS)) ),
inference(forward_demodulation,[status(thm)],[f312,f381]) ).
fof(f620,plain,
( ~ sQ13_spl
| ~ sQ5_spl
| aElementOf0(sz00,sbsmnsldt0(xS)) ),
inference(forward_demodulation,[status(thm)],[f549,f619]) ).
fof(f621,plain,
( ~ sQ9_spl
| ~ sQ5_spl
| smndt0(smndt0(sz00)) = sz00 ),
inference(forward_demodulation,[status(thm)],[f312,f338]) ).
fof(f622,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| smndt0(sz00) = sz00 ),
inference(forward_demodulation,[status(thm)],[f312,f305]) ).
fof(f623,plain,
( sQ27_spl
| ~ sQ5_spl
| ~ aDivisorOf0(sK15_skl(sz00),sz10) ),
inference(forward_demodulation,[status(thm)],[f312,f508]) ).
fof(f624,plain,
( sQ27_spl
| ~ sQ5_spl
| ~ aDivisorOf0(sK15_skl(sz00),sz00) ),
inference(forward_demodulation,[status(thm)],[f312,f623]) ).
fof(f625,plain,
( ~ sQ5_spl
| smndt0(smndt0(sz00)) = sdtasdt0(sz00,smndt0(smndt0(sz00))) ),
inference(resolution,[status(thm)],[f528,f277]) ).
fof(f626,plain,
( ~ sQ5_spl
| smndt0(sz00) = sdtasdt0(sz00,smndt0(sz00)) ),
inference(resolution,[status(thm)],[f528,f264]) ).
fof(f628,plain,
( ~ sQ5_spl
| sdtasdt0(smndt0(smndt0(sz00)),sz00) = smndt0(smndt0(sz00)) ),
inference(resolution,[status(thm)],[f531,f277]) ).
fof(f629,plain,
( ~ sQ5_spl
| sdtasdt0(smndt0(sz00),sz00) = smndt0(sz00) ),
inference(resolution,[status(thm)],[f531,f264]) ).
fof(f631,plain,
( sQ26_spl
| ~ sQ5_spl
| ~ sQ35_spl
| ~ isPrime0(sz00) ),
inference(backward_demodulation,[status(thm)],[f612,f580]) ).
fof(f632,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ aInteger0(sdtasdt0(sz00,sz00)) ),
inference(backward_demodulation,[status(thm)],[f622,f584]) ).
fof(f633,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ3_spl
| sdtasdt0(sz00,X0) = smndt0(X0)
| ~ aInteger0(X0) ),
inference(backward_demodulation,[status(thm)],[f622,f556]) ).
fof(f634,plain,
! [X0] :
( ~ sQ0_spl
| ~ sQ3_spl
| ~ sQ5_spl
| ~ aInteger0(X0)
| aDivisorOf0(smndt0(sz00),sdtasdt0(sz00,X0)) ),
inference(backward_demodulation,[status(thm)],[f622,f295]) ).
fof(f635,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| aInteger0(smndt0(sz00)) ),
inference(backward_demodulation,[status(thm)],[f622,f277]) ).
fof(f637,plain,
! [X0,X1] :
( ~ sQ3_spl
| ~ sQ5_spl
| ~ aDivisorOf0(X1,sdtpldt0(X0,sz00))
| sdteqdtlpzmzozddtrp0(X0,sz00,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(sz00)
| ~ aInteger0(X0) ),
inference(paramodulation,[status(thm)],[f622,f96]) ).
fof(f638,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ3_spl
| ~ aInteger0(sz00) ),
inference(forward_demodulation,[status(thm)],[f549,f632]) ).
fof(f639,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ3_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f638,f48]) ).
fof(f640,plain,
( sQ29_spl
| ~ sQ5_spl
| ~ sQ3_spl ),
inference(contradiction_clause,[status(thm)],[f639]) ).
fof(f641,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| aInteger0(sdtasdt0(sz00,smndt0(sz00))) ),
inference(forward_demodulation,[status(thm)],[f312,f521]) ).
fof(f642,plain,
! [X0] :
( ~ sQ5_spl
| smndt0(X0) = sdtasdt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f81]) ).
fof(f643,plain,
( ~ sQ5_spl
| smndt0(sz00) = sdtasdt0(sz00,smndt0(sz00)) ),
inference(resolution,[status(thm)],[f642,f48]) ).
fof(f644,plain,
! [X0] :
( X0 = sz00
| sz00 = sz00
| sdtasdt0(sz00,X0) != sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f83,f48]) ).
fof(f645,definition,
! [X0] :
( sQ36_spl
<=> ( X0 = sz00
| sdtasdt0(sz00,X0) != sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ36_spl])],[split_symbol_definition]) ).
fof(f646,plain,
! [X0] :
( ~ sQ36_spl
| X0 = sz00
| sdtasdt0(sz00,X0) != sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f645]) ).
fof(f648,plain,
( sQ7_spl
| sQ36_spl ),
inference(split_clause,[status(thm)],[f644,f645,f318]) ).
fof(f649,plain,
! [X0] :
( ~ sQ36_spl
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f646,f78]) ).
fof(f650,plain,
( sQ12_spl
| ~ sQ5_spl
| ~ aInteger0(sdtasdt0(sz00,sz00)) ),
inference(forward_demodulation,[status(thm)],[f312,f379]) ).
fof(f651,plain,
( sQ12_spl
| ~ sQ5_spl
| ~ aInteger0(sz00) ),
inference(forward_demodulation,[status(thm)],[f549,f650]) ).
fof(f652,plain,
( sQ12_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f651,f48]) ).
fof(f653,plain,
( sQ12_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f652]) ).
fof(f656,plain,
( sQ24_spl
| ~ sQ5_spl
| ~ aInteger0(sdtasdt0(sz00,smndt0(sz00))) ),
inference(forward_demodulation,[status(thm)],[f312,f470]) ).
fof(f657,plain,
( sQ24_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ aInteger0(sdtasdt0(sz00,sz00)) ),
inference(backward_demodulation,[status(thm)],[f298,f656]) ).
fof(f658,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| smndt0(X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(backward_demodulation,[status(thm)],[f298,f642]) ).
fof(f659,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ aDivisorOf0(X1,sdtpldt0(X0,sz00))
| sdteqdtlpzmzozddtrp0(X0,sz00,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(sz00)
| ~ aInteger0(X0) ),
inference(paramodulation,[status(thm)],[f298,f96]) ).
fof(f660,plain,
( sQ24_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ aInteger0(sz00) ),
inference(forward_demodulation,[status(thm)],[f549,f657]) ).
fof(f661,plain,
( sQ24_spl
| ~ sQ5_spl
| ~ sQ1_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f660,f48]) ).
fof(f662,plain,
( sQ24_spl
| ~ sQ5_spl
| ~ sQ1_spl ),
inference(contradiction_clause,[status(thm)],[f661]) ).
fof(f664,plain,
( sQ16_spl
| ~ sQ5_spl
| ~ aInteger0(sz00) ),
inference(forward_demodulation,[status(thm)],[f549,f396]) ).
fof(f665,plain,
( sQ16_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f664,f48]) ).
fof(f666,plain,
( sQ16_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f665]) ).
fof(f668,plain,
! [X0] :
( X0 = sz00
| smndt0(sz00) = sz00
| sdtasdt0(smndt0(sz00),X0) != sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f264,f83]) ).
fof(f669,plain,
( ~ sQ5_spl
| sdtasdt0(smndt0(sz00),sz00) = smndt0(sz00) ),
inference(resolution,[status(thm)],[f264,f531]) ).
fof(f670,plain,
( ~ sQ5_spl
| smndt0(sz00) = sdtasdt0(sz00,smndt0(sz00)) ),
inference(resolution,[status(thm)],[f264,f528]) ).
fof(f671,plain,
sz00 = sdtasdt0(sz00,smndt0(sz00)),
inference(resolution,[status(thm)],[f264,f78]) ).
fof(f672,plain,
sdtasdt0(smndt0(sz00),sz00) = sz00,
inference(resolution,[status(thm)],[f264,f77]) ).
fof(f673,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)],[f264,f75]) ).
fof(f674,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)],[f264,f74]) ).
fof(f675,plain,
! [X0] :
( sdtasdt0(smndt0(sz00),X0) = sdtasdt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f264,f69]) ).
fof(f676,plain,
! [X0,X1] :
( sdtasdt0(smndt0(sz00),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f264,f67]) ).
fof(f677,plain,
sz00 = sdtpldt0(smndt0(smndt0(sz00)),smndt0(sz00)),
inference(resolution,[status(thm)],[f264,f65]) ).
fof(f678,plain,
sdtpldt0(smndt0(sz00),smndt0(smndt0(sz00))) = sz00,
inference(resolution,[status(thm)],[f264,f64]) ).
fof(f679,plain,
smndt0(sz00) = sdtpldt0(sz00,smndt0(sz00)),
inference(resolution,[status(thm)],[f264,f62]) ).
fof(f681,plain,
sdtpldt0(smndt0(sz00),sz00) = smndt0(sz00),
inference(resolution,[status(thm)],[f264,f61]) ).
fof(f682,plain,
! [X0] :
( sdtpldt0(smndt0(sz00),X0) = sdtpldt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f264,f59]) ).
fof(f683,plain,
! [X0,X1] :
( sdtpldt0(smndt0(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f264,f57]) ).
fof(f684,plain,
! [X0] :
( aInteger0(sdtasdt0(smndt0(sz00),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f264,f55]) ).
fof(f685,plain,
! [X0] :
( aInteger0(sdtpldt0(smndt0(sz00),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f264,f53]) ).
fof(f687,definition,
! [X0] :
( sQ37_spl
<=> ( X0 = sz00
| sdtasdt0(smndt0(sz00),X0) != sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f688,plain,
! [X0] :
( ~ sQ37_spl
| X0 = sz00
| sdtasdt0(smndt0(sz00),X0) != sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f687]) ).
fof(f690,plain,
( sQ1_spl
| sQ37_spl ),
inference(split_clause,[status(thm)],[f668,f687,f297]) ).
fof(f692,plain,
( ~ sQ36_spl
| smndt0(sz00) = sz00 ),
inference(resolution,[status(thm)],[f649,f264]) ).
fof(f694,plain,
( ~ sQ36_spl
| sQ1_spl ),
inference(split_clause,[status(thm)],[f692,f297,f645]) ).
fof(f695,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(smndt0(sz00),smndt0(sz00),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f98,f264]) ).
fof(f696,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(sz00,sz00,X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f98,f48]) ).
fof(f697,plain,
( ~ sQ31_spl
| isPrime0(sK15_skl(sz00))
| ~ aInteger0(sz00) ),
inference(resolution,[status(thm)],[f565,f224]) ).
fof(f698,plain,
( ~ sQ31_spl
| aDivisorOf0(sK15_skl(sz00),sz00)
| ~ aInteger0(sz00) ),
inference(resolution,[status(thm)],[f565,f223]) ).
fof(f699,plain,
( ~ sQ31_spl
| sQ32_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f697,f387,f567,f564]) ).
fof(f700,definition,
( sQ38_spl
<=> aDivisorOf0(sK15_skl(sz00),sz00) ),
introduced(definition,[new_symbols(definition,[sQ38_spl])],[split_symbol_definition]) ).
fof(f701,plain,
( ~ sQ38_spl
| aDivisorOf0(sK15_skl(sz00),sz00) ),
inference(component_clause,[status(thm)],[f700]) ).
fof(f703,plain,
( ~ sQ31_spl
| sQ38_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f698,f387,f700,f564]) ).
fof(f704,plain,
( ~ sQ38_spl
| ~ sQ35_spl
| aDivisorOf0(sz00,sz00) ),
inference(forward_demodulation,[status(thm)],[f612,f701]) ).
fof(f705,plain,
( ~ sQ32_spl
| ~ sQ35_spl
| isPrime0(sz00) ),
inference(forward_demodulation,[status(thm)],[f612,f568]) ).
fof(f706,plain,
( ~ sQ32_spl
| ~ sQ35_spl
| sQ14_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f705,f385]) ).
fof(f707,plain,
( ~ sQ32_spl
| ~ sQ35_spl
| sQ14_spl ),
inference(contradiction_clause,[status(thm)],[f706]) ).
fof(f708,plain,
( ~ sQ5_spl
| sdtasdt0(smndt0(sz00),smndt0(sz00)) = smndt0(smndt0(sz00)) ),
inference(resolution,[status(thm)],[f556,f264]) ).
fof(f710,plain,
( ~ sQ5_spl
| smndt0(smndt0(sz00)) = sdtasdt0(smndt0(sz00),smndt0(sz00)) ),
inference(resolution,[status(thm)],[f642,f264]) ).
fof(f711,plain,
( ~ sQ5_spl
| smndt0(sz00) = sdtasdt0(sz00,smndt0(sz00)) ),
inference(resolution,[status(thm)],[f642,f48]) ).
fof(f713,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdteqdtlpzmzozddtrp0(X0,X1,sz00)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sz00)
| sz00 = sz00
| ~ aInteger0(sz00)
| sz00 = sz00
| ~ aInteger0(sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(paramodulation,[status(thm)],[f549,f104]) ).
fof(f714,definition,
! [X0,X1] :
( sQ39_spl
<=> ( sdteqdtlpzmzozddtrp0(X0,X1,sz00)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ39_spl])],[split_symbol_definition]) ).
fof(f717,plain,
( ~ sQ5_spl
| sQ7_spl
| ~ sQ15_spl
| sQ39_spl ),
inference(split_clause,[status(thm)],[f713,f714,f387,f318,f311]) ).
fof(f718,plain,
( sQ15_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f389,f48]) ).
fof(f719,plain,
sQ15_spl,
inference(contradiction_clause,[status(thm)],[f718]) ).
fof(f722,plain,
( ~ sQ28_spl
| ~ sQ5_spl
| sQ19_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f616,f583]) ).
fof(f723,plain,
( ~ sQ28_spl
| ~ sQ5_spl
| sQ19_spl ),
inference(contradiction_clause,[status(thm)],[f722]) ).
fof(f724,plain,
( ~ sQ19_spl
| ~ sQ5_spl
| aElementOf0(sz00,sbsmnsldt0(xS)) ),
inference(forward_demodulation,[status(thm)],[f312,f498]) ).
fof(f725,plain,
( ~ sQ5_spl
| ~ sQ29_spl
| smndt0(sdtasdt0(sz00,smndt0(sz00))) = sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),smndt0(sz00)) ),
inference(resolution,[status(thm)],[f641,f642]) ).
fof(f726,plain,
( ~ sQ5_spl
| ~ sQ29_spl
| sdtasdt0(smndt0(sz00),sdtasdt0(sz00,smndt0(sz00))) = smndt0(sdtasdt0(sz00,smndt0(sz00))) ),
inference(resolution,[status(thm)],[f641,f556]) ).
fof(f727,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| sdteqdtlpzmzozddtrp0(sdtasdt0(sz00,smndt0(sz00)),sdtasdt0(sz00,smndt0(sz00)),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f641,f98]) ).
fof(f728,plain,
( ~ sQ5_spl
| ~ sQ29_spl
| sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),sz00) = sdtasdt0(sz00,smndt0(sz00)) ),
inference(resolution,[status(thm)],[f641,f531]) ).
fof(f729,plain,
( ~ sQ5_spl
| ~ sQ29_spl
| sdtasdt0(sz00,smndt0(sz00)) = sdtasdt0(sz00,sdtasdt0(sz00,smndt0(sz00))) ),
inference(resolution,[status(thm)],[f641,f528]) ).
fof(f730,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| sz00 = sdtasdt0(sz00,sdtasdt0(sz00,smndt0(sz00))) ),
inference(resolution,[status(thm)],[f641,f78]) ).
fof(f731,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),sz00) = sz00 ),
inference(resolution,[status(thm)],[f641,f77]) ).
fof(f732,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| sdtasdt0(sdtpldt0(sdtasdt0(sz00,smndt0(sz00)),X0),X1) = sdtpldt0(sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f641,f75]) ).
fof(f733,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X0),sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f641,f74]) ).
fof(f734,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X0) = sdtasdt0(X0,sdtasdt0(sz00,smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f641,f69]) ).
fof(f735,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f641,f67]) ).
fof(f736,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| sz00 = sdtpldt0(smndt0(sdtasdt0(sz00,smndt0(sz00))),sdtasdt0(sz00,smndt0(sz00))) ),
inference(resolution,[status(thm)],[f641,f65]) ).
fof(f737,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| sdtpldt0(sdtasdt0(sz00,smndt0(sz00)),smndt0(sdtasdt0(sz00,smndt0(sz00)))) = sz00 ),
inference(resolution,[status(thm)],[f641,f64]) ).
fof(f738,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| sdtasdt0(sz00,smndt0(sz00)) = sdtpldt0(sz00,sdtasdt0(sz00,smndt0(sz00))) ),
inference(resolution,[status(thm)],[f641,f62]) ).
fof(f739,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| sdtpldt0(sdtasdt0(sz00,smndt0(sz00)),sz00) = sdtasdt0(sz00,smndt0(sz00)) ),
inference(resolution,[status(thm)],[f641,f61]) ).
fof(f740,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| sdtpldt0(sdtasdt0(sz00,smndt0(sz00)),X0) = sdtpldt0(X0,sdtasdt0(sz00,smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f641,f59]) ).
fof(f741,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| sdtpldt0(sdtasdt0(sz00,smndt0(sz00)),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sdtasdt0(sz00,smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f641,f57]) ).
fof(f742,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| aInteger0(sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f641,f55]) ).
fof(f743,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| aInteger0(sdtpldt0(sdtasdt0(sz00,smndt0(sz00)),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f641,f53]) ).
fof(f744,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| aInteger0(smndt0(sdtasdt0(sz00,smndt0(sz00)))) ),
inference(resolution,[status(thm)],[f641,f51]) ).
fof(f745,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ aInteger0(X0)
| sdtasdt0(sz00,smndt0(sz00)) = sz00
| aDivisorOf0(sdtasdt0(sz00,smndt0(sz00)),sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X0)) ),
inference(resolution,[status(thm)],[f267,f641]) ).
fof(f748,definition,
! [X0] :
( sQ40_spl
<=> ( ~ aInteger0(X0)
| aDivisorOf0(sdtasdt0(sz00,smndt0(sz00)),sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f749,plain,
! [X0] :
( ~ sQ40_spl
| ~ aInteger0(X0)
| aDivisorOf0(sdtasdt0(sz00,smndt0(sz00)),sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X0)) ),
inference(component_clause,[status(thm)],[f748]) ).
fof(f751,definition,
( sQ41_spl
<=> sdtasdt0(sz00,smndt0(sz00)) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ41_spl])],[split_symbol_definition]) ).
fof(f752,plain,
( ~ sQ41_spl
| sdtasdt0(sz00,smndt0(sz00)) = sz00 ),
inference(component_clause,[status(thm)],[f751]) ).
fof(f754,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| sQ41_spl
| sQ40_spl ),
inference(split_clause,[status(thm)],[f745,f748,f751,f311,f520]) ).
fof(f758,plain,
( ~ sQ5_spl
| ~ sQ33_spl
| smndt0(sK15_skl(sz00)) = sdtasdt0(sK15_skl(sz00),smndt0(sz00)) ),
inference(resolution,[status(thm)],[f572,f642]) ).
fof(f759,plain,
( ~ sQ5_spl
| ~ sQ33_spl
| sdtasdt0(smndt0(sz00),sK15_skl(sz00)) = smndt0(sK15_skl(sz00)) ),
inference(resolution,[status(thm)],[f572,f556]) ).
fof(f760,plain,
! [X0] :
( ~ sQ33_spl
| sdteqdtlpzmzozddtrp0(sK15_skl(sz00),sK15_skl(sz00),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f98]) ).
fof(f761,plain,
( ~ sQ5_spl
| ~ sQ33_spl
| sdtasdt0(sK15_skl(sz00),sz00) = sK15_skl(sz00) ),
inference(resolution,[status(thm)],[f572,f531]) ).
fof(f762,plain,
( ~ sQ5_spl
| ~ sQ33_spl
| sK15_skl(sz00) = sdtasdt0(sz00,sK15_skl(sz00)) ),
inference(resolution,[status(thm)],[f572,f528]) ).
fof(f763,plain,
( ~ sQ33_spl
| sz00 = sdtasdt0(sz00,sK15_skl(sz00)) ),
inference(resolution,[status(thm)],[f572,f78]) ).
fof(f764,plain,
( ~ sQ33_spl
| sdtasdt0(sK15_skl(sz00),sz00) = sz00 ),
inference(resolution,[status(thm)],[f572,f77]) ).
fof(f765,plain,
! [X0,X1] :
( ~ sQ33_spl
| sdtasdt0(sdtpldt0(sK15_skl(sz00),X0),X1) = sdtpldt0(sdtasdt0(sK15_skl(sz00),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f75]) ).
fof(f766,plain,
! [X0,X1] :
( ~ sQ33_spl
| sdtasdt0(sK15_skl(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sK15_skl(sz00),X0),sdtasdt0(sK15_skl(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f74]) ).
fof(f767,plain,
! [X0] :
( ~ sQ33_spl
| sdtasdt0(sK15_skl(sz00),X0) = sdtasdt0(X0,sK15_skl(sz00))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f69]) ).
fof(f768,plain,
! [X0,X1] :
( ~ sQ33_spl
| sdtasdt0(sK15_skl(sz00),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sK15_skl(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f67]) ).
fof(f769,plain,
( ~ sQ33_spl
| sz00 = sdtpldt0(smndt0(sK15_skl(sz00)),sK15_skl(sz00)) ),
inference(resolution,[status(thm)],[f572,f65]) ).
fof(f770,plain,
( ~ sQ33_spl
| sdtpldt0(sK15_skl(sz00),smndt0(sK15_skl(sz00))) = sz00 ),
inference(resolution,[status(thm)],[f572,f64]) ).
fof(f771,plain,
( ~ sQ33_spl
| sK15_skl(sz00) = sdtpldt0(sz00,sK15_skl(sz00)) ),
inference(resolution,[status(thm)],[f572,f62]) ).
fof(f772,plain,
( ~ sQ33_spl
| sdtpldt0(sK15_skl(sz00),sz00) = sK15_skl(sz00) ),
inference(resolution,[status(thm)],[f572,f61]) ).
fof(f773,plain,
! [X0] :
( ~ sQ33_spl
| sdtpldt0(sK15_skl(sz00),X0) = sdtpldt0(X0,sK15_skl(sz00))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f59]) ).
fof(f774,plain,
! [X0,X1] :
( ~ sQ33_spl
| sdtpldt0(sK15_skl(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sK15_skl(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f57]) ).
fof(f775,plain,
! [X0] :
( ~ sQ33_spl
| aInteger0(sdtasdt0(sK15_skl(sz00),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f55]) ).
fof(f776,plain,
! [X0] :
( ~ sQ33_spl
| aInteger0(sdtpldt0(sK15_skl(sz00),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f572,f53]) ).
fof(f777,plain,
( ~ sQ33_spl
| aInteger0(smndt0(sK15_skl(sz00))) ),
inference(resolution,[status(thm)],[f572,f51]) ).
fof(f780,plain,
( ~ sQ5_spl
| smndt0(smndt0(smndt0(sz00))) = sdtasdt0(smndt0(smndt0(sz00)),smndt0(sz00)) ),
inference(resolution,[status(thm)],[f277,f642]) ).
fof(f781,plain,
( ~ sQ5_spl
| sdtasdt0(smndt0(sz00),smndt0(smndt0(sz00))) = smndt0(smndt0(smndt0(sz00))) ),
inference(resolution,[status(thm)],[f277,f556]) ).
fof(f782,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(smndt0(smndt0(sz00)),smndt0(smndt0(sz00)),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f277,f98]) ).
fof(f783,plain,
( ~ sQ5_spl
| sdtasdt0(smndt0(smndt0(sz00)),sz00) = smndt0(smndt0(sz00)) ),
inference(resolution,[status(thm)],[f277,f531]) ).
fof(f784,plain,
( ~ sQ5_spl
| smndt0(smndt0(sz00)) = sdtasdt0(sz00,smndt0(smndt0(sz00))) ),
inference(resolution,[status(thm)],[f277,f528]) ).
fof(f785,plain,
sz00 = sdtasdt0(sz00,smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f277,f78]) ).
fof(f786,plain,
sdtasdt0(smndt0(smndt0(sz00)),sz00) = sz00,
inference(resolution,[status(thm)],[f277,f77]) ).
fof(f787,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)],[f277,f75]) ).
fof(f788,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)],[f277,f74]) ).
fof(f789,plain,
! [X0] :
( sdtasdt0(smndt0(smndt0(sz00)),X0) = sdtasdt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f277,f69]) ).
fof(f790,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)],[f277,f67]) ).
fof(f791,plain,
sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz00))),smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f277,f65]) ).
fof(f792,plain,
sdtpldt0(smndt0(smndt0(sz00)),smndt0(smndt0(smndt0(sz00)))) = sz00,
inference(resolution,[status(thm)],[f277,f64]) ).
fof(f793,plain,
smndt0(smndt0(sz00)) = sdtpldt0(sz00,smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f277,f62]) ).
fof(f794,plain,
sdtpldt0(smndt0(smndt0(sz00)),sz00) = smndt0(smndt0(sz00)),
inference(resolution,[status(thm)],[f277,f61]) ).
fof(f795,plain,
! [X0] :
( sdtpldt0(smndt0(smndt0(sz00)),X0) = sdtpldt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f277,f59]) ).
fof(f796,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)],[f277,f57]) ).
fof(f797,plain,
! [X0] :
( aInteger0(sdtasdt0(smndt0(smndt0(sz00)),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f277,f55]) ).
fof(f798,plain,
! [X0] :
( aInteger0(sdtpldt0(smndt0(smndt0(sz00)),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f277,f53]) ).
fof(f799,plain,
aInteger0(smndt0(smndt0(smndt0(sz00)))),
inference(resolution,[status(thm)],[f277,f51]) ).
fof(f801,plain,
! [X0] :
( ~ sQ5_spl
| X0 = smndt0(sz10)
| X0 = sz00
| aDivisorOf0(sK1_skl(X0),X0)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f113]) ).
fof(f802,plain,
! [X0] :
( ~ sQ5_spl
| X0 = smndt0(sz00)
| X0 = sz00
| aDivisorOf0(sK1_skl(X0),X0)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f801]) ).
fof(f803,plain,
( ~ sQ33_spl
| ~ sQ5_spl
| sK15_skl(sz00) = smndt0(sz00)
| sK15_skl(sz00) = sz00
| aDivisorOf0(sK1_skl(sK15_skl(sz00)),sK15_skl(sz00)) ),
inference(resolution,[status(thm)],[f802,f572]) ).
fof(f804,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| sdtasdt0(sz00,smndt0(sz00)) = smndt0(sz00)
| sdtasdt0(sz00,smndt0(sz00)) = sz00
| aDivisorOf0(sK1_skl(sdtasdt0(sz00,smndt0(sz00))),sdtasdt0(sz00,smndt0(sz00))) ),
inference(resolution,[status(thm)],[f802,f641]) ).
fof(f805,plain,
( ~ sQ5_spl
| smndt0(smndt0(sz00)) = smndt0(sz00)
| smndt0(smndt0(sz00)) = sz00
| aDivisorOf0(sK1_skl(smndt0(smndt0(sz00))),smndt0(smndt0(sz00))) ),
inference(resolution,[status(thm)],[f802,f277]) ).
fof(f806,plain,
( ~ sQ5_spl
| smndt0(sz00) = smndt0(sz00)
| smndt0(sz00) = sz00
| aDivisorOf0(sK1_skl(smndt0(sz00)),smndt0(sz00)) ),
inference(resolution,[status(thm)],[f802,f264]) ).
fof(f807,plain,
( ~ sQ5_spl
| sz00 = smndt0(sz00)
| sz00 = sz00
| aDivisorOf0(sK1_skl(sz00),sz00) ),
inference(resolution,[status(thm)],[f802,f48]) ).
fof(f808,definition,
( sQ42_spl
<=> aDivisorOf0(sK1_skl(sK15_skl(sz00)),sK15_skl(sz00)) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f811,definition,
( sQ43_spl
<=> sK15_skl(sz00) = smndt0(sz00) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f812,plain,
( ~ sQ43_spl
| sK15_skl(sz00) = smndt0(sz00) ),
inference(component_clause,[status(thm)],[f811]) ).
fof(f814,plain,
( ~ sQ33_spl
| ~ sQ5_spl
| sQ43_spl
| sQ35_spl
| sQ42_spl ),
inference(split_clause,[status(thm)],[f803,f808,f611,f811,f311,f571]) ).
fof(f815,definition,
( sQ44_spl
<=> aDivisorOf0(sK1_skl(sdtasdt0(sz00,smndt0(sz00))),sdtasdt0(sz00,smndt0(sz00))) ),
introduced(definition,[new_symbols(definition,[sQ44_spl])],[split_symbol_definition]) ).
fof(f816,plain,
( ~ sQ44_spl
| aDivisorOf0(sK1_skl(sdtasdt0(sz00,smndt0(sz00))),sdtasdt0(sz00,smndt0(sz00))) ),
inference(component_clause,[status(thm)],[f815]) ).
fof(f818,definition,
( sQ45_spl
<=> sdtasdt0(sz00,smndt0(sz00)) = smndt0(sz00) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f819,plain,
( ~ sQ45_spl
| sdtasdt0(sz00,smndt0(sz00)) = smndt0(sz00) ),
inference(component_clause,[status(thm)],[f818]) ).
fof(f821,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| sQ45_spl
| sQ41_spl
| sQ44_spl ),
inference(split_clause,[status(thm)],[f804,f815,f751,f818,f311,f520]) ).
fof(f822,definition,
( sQ46_spl
<=> aDivisorOf0(sK1_skl(smndt0(smndt0(sz00))),smndt0(smndt0(sz00))) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f823,plain,
( ~ sQ46_spl
| aDivisorOf0(sK1_skl(smndt0(smndt0(sz00))),smndt0(smndt0(sz00))) ),
inference(component_clause,[status(thm)],[f822]) ).
fof(f825,definition,
( sQ47_spl
<=> smndt0(smndt0(sz00)) = smndt0(sz00) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f826,plain,
( ~ sQ47_spl
| smndt0(smndt0(sz00)) = smndt0(sz00) ),
inference(component_clause,[status(thm)],[f825]) ).
fof(f828,plain,
( ~ sQ5_spl
| sQ47_spl
| sQ11_spl
| sQ46_spl ),
inference(split_clause,[status(thm)],[f805,f822,f352,f825,f311]) ).
fof(f829,definition,
( sQ48_spl
<=> aDivisorOf0(sK1_skl(smndt0(sz00)),smndt0(sz00)) ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f830,plain,
( ~ sQ48_spl
| aDivisorOf0(sK1_skl(smndt0(sz00)),smndt0(sz00)) ),
inference(component_clause,[status(thm)],[f829]) ).
fof(f832,definition,
( sQ49_spl
<=> smndt0(sz00) = smndt0(sz00) ),
introduced(definition,[new_symbols(definition,[sQ49_spl])],[split_symbol_definition]) ).
fof(f835,plain,
( ~ sQ5_spl
| sQ49_spl
| sQ1_spl
| sQ48_spl ),
inference(split_clause,[status(thm)],[f806,f829,f297,f832,f311]) ).
fof(f836,definition,
( sQ50_spl
<=> aDivisorOf0(sK1_skl(sz00),sz00) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f837,plain,
( ~ sQ50_spl
| aDivisorOf0(sK1_skl(sz00),sz00) ),
inference(component_clause,[status(thm)],[f836]) ).
fof(f839,plain,
( ~ sQ5_spl
| sQ1_spl
| sQ7_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f807,f836,f318,f297,f311]) ).
fof(f840,plain,
( sQ20_spl
| ~ sQ5_spl
| ~ sQ14_spl ),
inference(split_clause,[status(thm)],[f546,f383,f311,f446]) ).
fof(f841,plain,
( sQ22_spl
| ~ sQ29_spl
| ~ sQ5_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f459,f641]) ).
fof(f842,plain,
( sQ22_spl
| ~ sQ29_spl
| ~ sQ5_spl ),
inference(contradiction_clause,[status(thm)],[f841]) ).
fof(f843,plain,
( ~ sQ20_spl
| ~ sQ5_spl
| isPrime0(sz00) ),
inference(forward_demodulation,[status(thm)],[f312,f447]) ).
fof(f844,plain,
! [X0] :
( ~ sQ5_spl
| X0 = smndt0(sz10)
| X0 = sz00
| isPrime0(sK1_skl(X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f114]) ).
fof(f845,plain,
! [X0] :
( ~ sQ5_spl
| X0 = smndt0(sz00)
| X0 = sz00
| isPrime0(sK1_skl(X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f844]) ).
fof(f846,plain,
( ~ sQ33_spl
| ~ sQ5_spl
| sK15_skl(sz00) = smndt0(sz00)
| sK15_skl(sz00) = sz00
| isPrime0(sK1_skl(sK15_skl(sz00))) ),
inference(resolution,[status(thm)],[f845,f572]) ).
fof(f847,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| sdtasdt0(sz00,smndt0(sz00)) = smndt0(sz00)
| sdtasdt0(sz00,smndt0(sz00)) = sz00
| isPrime0(sK1_skl(sdtasdt0(sz00,smndt0(sz00)))) ),
inference(resolution,[status(thm)],[f845,f641]) ).
fof(f848,plain,
( ~ sQ5_spl
| smndt0(smndt0(sz00)) = smndt0(sz00)
| smndt0(smndt0(sz00)) = sz00
| isPrime0(sK1_skl(smndt0(smndt0(sz00)))) ),
inference(resolution,[status(thm)],[f845,f277]) ).
fof(f849,plain,
( ~ sQ5_spl
| smndt0(sz00) = smndt0(sz00)
| smndt0(sz00) = sz00
| isPrime0(sK1_skl(smndt0(sz00))) ),
inference(resolution,[status(thm)],[f845,f264]) ).
fof(f850,plain,
( ~ sQ5_spl
| sz00 = smndt0(sz00)
| sz00 = sz00
| isPrime0(sK1_skl(sz00)) ),
inference(resolution,[status(thm)],[f845,f48]) ).
fof(f851,definition,
( sQ51_spl
<=> isPrime0(sK1_skl(sK15_skl(sz00))) ),
introduced(definition,[new_symbols(definition,[sQ51_spl])],[split_symbol_definition]) ).
fof(f854,plain,
( ~ sQ33_spl
| ~ sQ5_spl
| sQ43_spl
| sQ35_spl
| sQ51_spl ),
inference(split_clause,[status(thm)],[f846,f851,f611,f811,f311,f571]) ).
fof(f855,definition,
( sQ52_spl
<=> isPrime0(sK1_skl(sdtasdt0(sz00,smndt0(sz00)))) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f858,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| sQ45_spl
| sQ41_spl
| sQ52_spl ),
inference(split_clause,[status(thm)],[f847,f855,f751,f818,f311,f520]) ).
fof(f859,definition,
( sQ53_spl
<=> isPrime0(sK1_skl(smndt0(smndt0(sz00)))) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f862,plain,
( ~ sQ5_spl
| sQ47_spl
| sQ11_spl
| sQ53_spl ),
inference(split_clause,[status(thm)],[f848,f859,f352,f825,f311]) ).
fof(f863,definition,
( sQ54_spl
<=> isPrime0(sK1_skl(smndt0(sz00))) ),
introduced(definition,[new_symbols(definition,[sQ54_spl])],[split_symbol_definition]) ).
fof(f866,plain,
( ~ sQ5_spl
| sQ49_spl
| sQ1_spl
| sQ54_spl ),
inference(split_clause,[status(thm)],[f849,f863,f297,f832,f311]) ).
fof(f867,definition,
( sQ55_spl
<=> isPrime0(sK1_skl(sz00)) ),
introduced(definition,[new_symbols(definition,[sQ55_spl])],[split_symbol_definition]) ).
fof(f870,plain,
( ~ sQ5_spl
| sQ1_spl
| sQ7_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f850,f867,f318,f297,f311]) ).
fof(f872,plain,
( ~ sQ26_spl
| ~ sQ5_spl
| ~ sQ35_spl
| isPrime0(sz00) ),
inference(backward_demodulation,[status(thm)],[f612,f547]) ).
fof(f873,plain,
( ~ sQ19_spl
| ~ sQ5_spl
| isPrime0(sK15_skl(sz00))
| ~ aInteger0(sz00) ),
inference(resolution,[status(thm)],[f724,f224]) ).
fof(f874,plain,
( ~ sQ19_spl
| ~ sQ5_spl
| aDivisorOf0(sK15_skl(sz00),sz00)
| ~ aInteger0(sz00) ),
inference(resolution,[status(thm)],[f724,f223]) ).
fof(f875,plain,
( ~ sQ19_spl
| ~ sQ5_spl
| sQ32_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f873,f387,f567,f311,f443]) ).
fof(f876,plain,
( ~ sQ19_spl
| ~ sQ5_spl
| sQ38_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f874,f387,f700,f311,f443]) ).
fof(f877,plain,
( sQ19_spl
| ~ sQ5_spl
| ~ sQ31_spl ),
inference(split_clause,[status(thm)],[f583,f564,f311,f443]) ).
fof(f878,plain,
( sQ28_spl
| ~ sQ5_spl
| ~ aElementOf0(sz00,sbsmnsldt0(xS)) ),
inference(forward_demodulation,[status(thm)],[f312,f515]) ).
fof(f879,plain,
( ~ sQ32_spl
| ~ sQ35_spl
| isPrime0(sz00) ),
inference(forward_demodulation,[status(thm)],[f612,f568]) ).
fof(f880,plain,
( sQ32_spl
| ~ sQ35_spl
| ~ isPrime0(sz00) ),
inference(forward_demodulation,[status(thm)],[f612,f569]) ).
fof(f881,plain,
( sQ26_spl
| ~ sQ5_spl
| ~ sQ35_spl
| ~ isPrime0(sz00) ),
inference(forward_demodulation,[status(thm)],[f612,f580]) ).
fof(f882,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdteqdtlpzmzozddtrp0(X0,X1,sz00)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,smndt0(sz00))
| sz00 = sz00
| ~ aInteger0(sz00)
| smndt0(sz00) = sz00
| ~ aInteger0(smndt0(sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(paramodulation,[status(thm)],[f559,f105]) ).
fof(f883,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdteqdtlpzmzozddtrp0(X0,X1,smndt0(sz00))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,smndt0(sz00))
| sz00 = sz00
| ~ aInteger0(sz00)
| smndt0(sz00) = sz00
| ~ aInteger0(smndt0(sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(paramodulation,[status(thm)],[f559,f104]) ).
fof(f884,definition,
! [X0,X1] :
( sQ56_spl
<=> ( sdteqdtlpzmzozddtrp0(X0,X1,sz00)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,smndt0(sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ56_spl])],[split_symbol_definition]) ).
fof(f887,definition,
( sQ57_spl
<=> aInteger0(smndt0(sz00)) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f889,plain,
( sQ57_spl
| ~ aInteger0(smndt0(sz00)) ),
inference(component_clause,[status(thm)],[f887]) ).
fof(f890,plain,
( ~ sQ5_spl
| sQ7_spl
| ~ sQ15_spl
| sQ1_spl
| ~ sQ57_spl
| sQ56_spl ),
inference(split_clause,[status(thm)],[f882,f884,f887,f297,f387,f318,f311]) ).
fof(f891,definition,
! [X0,X1] :
( sQ58_spl
<=> ( sdteqdtlpzmzozddtrp0(X0,X1,smndt0(sz00))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,smndt0(sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ58_spl])],[split_symbol_definition]) ).
fof(f894,plain,
( ~ sQ5_spl
| sQ7_spl
| ~ sQ15_spl
| sQ1_spl
| ~ sQ57_spl
| sQ58_spl ),
inference(split_clause,[status(thm)],[f883,f891,f887,f297,f387,f318,f311]) ).
fof(f898,plain,
! [X0,X1] :
( ~ sQ11_spl
| ~ aDivisorOf0(X1,sdtpldt0(X0,sz00))
| sdteqdtlpzmzozddtrp0(X0,smndt0(sz00),X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(smndt0(sz00))
| ~ aInteger0(X0) ),
inference(paramodulation,[status(thm)],[f353,f96]) ).
fof(f899,definition,
! [X0,X1] :
( sQ59_spl
<=> ( ~ aDivisorOf0(X1,sdtpldt0(X0,sz00))
| sdteqdtlpzmzozddtrp0(X0,smndt0(sz00),X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f900,plain,
! [X0,X1] :
( ~ sQ59_spl
| ~ aDivisorOf0(X1,sdtpldt0(X0,sz00))
| sdteqdtlpzmzozddtrp0(X0,smndt0(sz00),X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f899]) ).
fof(f902,plain,
( ~ sQ11_spl
| ~ sQ57_spl
| sQ59_spl ),
inference(split_clause,[status(thm)],[f898,f899,f887,f352]) ).
fof(f903,plain,
( sQ57_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f889,f264]) ).
fof(f904,plain,
sQ57_spl,
inference(contradiction_clause,[status(thm)],[f903]) ).
fof(f913,plain,
( ~ sQ5_spl
| smndt0(smndt0(smndt0(sz00))) = sdtasdt0(smndt0(smndt0(sz00)),smndt0(sz00)) ),
inference(resolution,[status(thm)],[f277,f642]) ).
fof(f914,plain,
( ~ sQ5_spl
| sdtasdt0(smndt0(sz00),smndt0(smndt0(sz00))) = smndt0(smndt0(smndt0(sz00))) ),
inference(resolution,[status(thm)],[f277,f556]) ).
fof(f915,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(smndt0(smndt0(sz00)),smndt0(smndt0(sz00)),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f277,f98]) ).
fof(f916,plain,
( ~ sQ5_spl
| sdtasdt0(smndt0(smndt0(sz00)),sz00) = smndt0(smndt0(sz00)) ),
inference(resolution,[status(thm)],[f277,f531]) ).
fof(f917,plain,
( ~ sQ5_spl
| smndt0(smndt0(sz00)) = sdtasdt0(sz00,smndt0(smndt0(sz00))) ),
inference(resolution,[status(thm)],[f277,f528]) ).
fof(f918,plain,
sz00 = sdtasdt0(sz00,smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f277,f78]) ).
fof(f919,plain,
sdtasdt0(smndt0(smndt0(sz00)),sz00) = sz00,
inference(resolution,[status(thm)],[f277,f77]) ).
fof(f920,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)],[f277,f75]) ).
fof(f921,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)],[f277,f74]) ).
fof(f922,plain,
! [X0] :
( sdtasdt0(smndt0(smndt0(sz00)),X0) = sdtasdt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f277,f69]) ).
fof(f923,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)],[f277,f67]) ).
fof(f924,plain,
sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz00))),smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f277,f65]) ).
fof(f925,plain,
sdtpldt0(smndt0(smndt0(sz00)),smndt0(smndt0(smndt0(sz00)))) = sz00,
inference(resolution,[status(thm)],[f277,f64]) ).
fof(f926,plain,
smndt0(smndt0(sz00)) = sdtpldt0(sz00,smndt0(smndt0(sz00))),
inference(resolution,[status(thm)],[f277,f62]) ).
fof(f927,plain,
sdtpldt0(smndt0(smndt0(sz00)),sz00) = smndt0(smndt0(sz00)),
inference(resolution,[status(thm)],[f277,f61]) ).
fof(f928,plain,
! [X0] :
( sdtpldt0(smndt0(smndt0(sz00)),X0) = sdtpldt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f277,f59]) ).
fof(f929,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)],[f277,f57]) ).
fof(f930,plain,
! [X0] :
( aInteger0(sdtasdt0(smndt0(smndt0(sz00)),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f277,f55]) ).
fof(f931,plain,
! [X0] :
( aInteger0(sdtpldt0(smndt0(smndt0(sz00)),X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f277,f53]) ).
fof(f932,plain,
aInteger0(smndt0(smndt0(smndt0(sz00)))),
inference(resolution,[status(thm)],[f277,f51]) ).
fof(f936,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| sz00 = sdtasdt0(sz00,sz00) ),
inference(forward_demodulation,[status(thm)],[f612,f591]) ).
fof(f937,plain,
( ~ sQ5_spl
| ~ sQ29_spl
| smndt0(smndt0(sz00)) = sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),smndt0(sz00)) ),
inference(forward_demodulation,[status(thm)],[f643,f725]) ).
fof(f938,plain,
( ~ sQ5_spl
| ~ sQ29_spl
| smndt0(smndt0(sz00)) = sdtasdt0(smndt0(sz00),smndt0(sz00)) ),
inference(forward_demodulation,[status(thm)],[f643,f937]) ).
fof(f939,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ29_spl
| sdteqdtlpzmzozddtrp0(X0,X1,smndt0(sz00))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,smndt0(smndt0(sz00)))
| smndt0(sz00) = sz00
| ~ aInteger0(smndt0(sz00))
| smndt0(sz00) = sz00
| ~ aInteger0(smndt0(sz00))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(paramodulation,[status(thm)],[f938,f105]) ).
fof(f941,definition,
! [X0,X1] :
( sQ60_spl
<=> ( sdteqdtlpzmzozddtrp0(X0,X1,smndt0(sz00))
| ~ sdteqdtlpzmzozddtrp0(X0,X1,smndt0(smndt0(sz00)))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f944,plain,
( ~ sQ5_spl
| ~ sQ29_spl
| sQ1_spl
| ~ sQ57_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f939,f941,f887,f297,f520,f311]) ).
fof(f946,definition,
! [X0,X1] :
( sQ61_spl
<=> ( ~ aDivisorOf0(X1,sdtpldt0(X0,sz00))
| sdteqdtlpzmzozddtrp0(X0,sz00,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ61_spl])],[split_symbol_definition]) ).
fof(f947,plain,
! [X0,X1] :
( ~ sQ61_spl
| ~ aDivisorOf0(X1,sdtpldt0(X0,sz00))
| sdteqdtlpzmzozddtrp0(X0,sz00,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f946]) ).
fof(f949,plain,
( ~ sQ1_spl
| ~ sQ15_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f659,f946,f387,f297]) ).
fof(f952,plain,
( sQ11_spl
| ~ sQ1_spl
| smndt0(sz00) != sz00 ),
inference(backward_demodulation,[status(thm)],[f298,f354]) ).
fof(f956,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| X0 = sz00
| X0 = sz00
| isPrime0(sK1_skl(X0))
| ~ aInteger0(X0) ),
inference(backward_demodulation,[status(thm)],[f298,f845]) ).
fof(f957,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| X0 = sz00
| X0 = sz00
| aDivisorOf0(sK1_skl(X0),X0)
| ~ aInteger0(X0) ),
inference(backward_demodulation,[status(thm)],[f298,f802]) ).
fof(f959,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,X0) = smndt0(X0)
| ~ aInteger0(X0) ),
inference(backward_demodulation,[status(thm)],[f298,f556]) ).
fof(f966,plain,
( sQ11_spl
| ~ sQ1_spl ),
inference(split_clause,[status(thm)],[f952,f297,f352]) ).
fof(f970,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| X0 = sz00
| isPrime0(sK1_skl(X0))
| ~ aInteger0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f956]) ).
fof(f971,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| X0 = sz00
| aDivisorOf0(sK1_skl(X0),X0)
| ~ aInteger0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f957]) ).
fof(f973,plain,
! [X0,X1] :
( ~ sQ59_spl
| ~ sQ1_spl
| ~ aDivisorOf0(X1,sdtpldt0(X0,sz00))
| sdteqdtlpzmzozddtrp0(X0,sz00,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f900]) ).
fof(f975,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,sz00) = sz00 ),
inference(forward_demodulation,[status(thm)],[f612,f592]) ).
fof(f978,plain,
( ~ sQ5_spl
| ~ sQ1_spl
| sz00 = sz00
| isPrime0(sK1_skl(sz00)) ),
inference(resolution,[status(thm)],[f970,f48]) ).
fof(f979,plain,
( ~ sQ5_spl
| ~ sQ1_spl
| sQ7_spl
| sQ55_spl ),
inference(split_clause,[status(thm)],[f978,f867,f318,f297,f311]) ).
fof(f980,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| sz00 = sdtasdt0(sz00,sz00) ),
inference(forward_demodulation,[status(thm)],[f612,f763]) ).
fof(f987,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,sz00) = sz00 ),
inference(forward_demodulation,[status(thm)],[f612,f764]) ).
fof(f988,plain,
( ~ sQ41_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sz00) = sz00 ),
inference(forward_demodulation,[status(thm)],[f298,f752]) ).
fof(f989,plain,
( ~ sQ5_spl
| ~ sQ1_spl
| sz00 = sz00
| aDivisorOf0(sK1_skl(sz00),sz00) ),
inference(resolution,[status(thm)],[f971,f48]) ).
fof(f990,plain,
( ~ sQ5_spl
| ~ sQ1_spl
| sQ7_spl
| sQ50_spl ),
inference(split_clause,[status(thm)],[f989,f836,f318,f297,f311]) ).
fof(f991,plain,
! [X0] :
( ~ sQ5_spl
| aInteger0(sdtpldt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f265]) ).
fof(f994,plain,
! [X0] :
( ~ sQ5_spl
| aInteger0(sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f268]) ).
fof(f999,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(sdtasdt0(sz00,sz00),sdtasdt0(sz00,smndt0(sz00)),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f727]) ).
fof(f1000,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(sz00,sdtasdt0(sz00,smndt0(sz00)),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f999]) ).
fof(f1001,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(sz00,sdtasdt0(sz00,sz00),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1000]) ).
fof(f1002,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(sz00,sz00,X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1001]) ).
fof(f1003,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(sz00,sz00,sz00)
| sz00 = sz00 ),
inference(resolution,[status(thm)],[f1002,f48]) ).
fof(f1004,definition,
( sQ62_spl
<=> sdteqdtlpzmzozddtrp0(sz00,sz00,sz00) ),
introduced(definition,[new_symbols(definition,[sQ62_spl])],[split_symbol_definition]) ).
fof(f1007,plain,
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sQ62_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1003,f318,f1004,f297,f311,f520]) ).
fof(f1018,plain,
( ~ sQ5_spl
| aInteger0(smndt0(smndt0(smndt0(sz00)))) ),
inference(forward_demodulation,[status(thm)],[f312,f333]) ).
fof(f1041,plain,
( ~ sQ5_spl
| sdtpldt0(sz00,smndt0(sz10)) = sz00 ),
inference(forward_demodulation,[status(thm)],[f312,f366]) ).
fof(f1042,plain,
( ~ sQ5_spl
| sdtpldt0(sz00,smndt0(sz00)) = sz00 ),
inference(forward_demodulation,[status(thm)],[f312,f1041]) ).
fof(f1045,plain,
( ~ sQ5_spl
| sz00 = sdtpldt0(smndt0(sz00),sz10) ),
inference(forward_demodulation,[status(thm)],[f312,f372]) ).
fof(f1048,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ35_spl
| aInteger0(sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f605]) ).
fof(f1053,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ35_spl
| aInteger0(sdtpldt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f606]) ).
fof(f1061,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ aInteger0(X0)
| aDivisorOf0(sz00,sdtasdt0(smndt0(sz00),X0)) ),
inference(forward_demodulation,[status(thm)],[f298,f545]) ).
fof(f1062,plain,
! [X0] :
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ aInteger0(X0)
| aDivisorOf0(sz00,sdtasdt0(sz00,X0)) ),
inference(forward_demodulation,[status(thm)],[f298,f1061]) ).
fof(f1063,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ1_spl
| aDivisorOf0(sz00,sdtasdt0(sz00,sz00)) ),
inference(resolution,[status(thm)],[f1062,f48]) ).
fof(f1064,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ1_spl
| aDivisorOf0(sz00,sz00) ),
inference(forward_demodulation,[status(thm)],[f549,f1063]) ).
fof(f1065,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ aInteger0(sz00) ),
inference(resolution,[status(thm)],[f1064,f238]) ).
fof(f1066,plain,
( ~ sQ5_spl
| ~ sQ2_spl
| ~ sQ1_spl
| ~ isPrime0(sz00) ),
inference(resolution,[status(thm)],[f1064,f539]) ).
fof(f1071,plain,
( ~ sQ2_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1065,f387,f297,f311,f301]) ).
fof(f1083,plain,
( ~ sQ3_spl
| ~ sQ5_spl
| ~ sQ15_spl
| sQ61_spl ),
inference(split_clause,[status(thm)],[f637,f946,f387,f311,f304]) ).
fof(f1085,plain,
( ~ sQ1_spl
| sdtasdt0(sz00,sz00) = sz00 ),
inference(forward_demodulation,[status(thm)],[f298,f551]) ).
fof(f1094,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ5_spl
| ~ aInteger0(X0)
| aDivisorOf0(smndt0(smndt0(sz00)),sdtasdt0(smndt0(smndt0(sz10)),X0)) ),
inference(forward_demodulation,[status(thm)],[f312,f335]) ).
fof(f1095,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ aInteger0(X0)
| aDivisorOf0(smndt0(sz00),sdtasdt0(smndt0(smndt0(sz10)),X0)) ),
inference(forward_demodulation,[status(thm)],[f298,f1094]) ).
fof(f1096,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ aInteger0(X0)
| aDivisorOf0(sz00,sdtasdt0(smndt0(smndt0(sz10)),X0)) ),
inference(forward_demodulation,[status(thm)],[f298,f1095]) ).
fof(f1097,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ aInteger0(X0)
| aDivisorOf0(sz00,sdtasdt0(smndt0(smndt0(sz00)),X0)) ),
inference(forward_demodulation,[status(thm)],[f312,f1096]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ aInteger0(X0)
| aDivisorOf0(sz00,sdtasdt0(smndt0(sz00),X0)) ),
inference(forward_demodulation,[status(thm)],[f298,f1097]) ).
fof(f1099,plain,
! [X0] :
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ aInteger0(X0)
| aDivisorOf0(sz00,sdtasdt0(sz00,X0)) ),
inference(forward_demodulation,[status(thm)],[f298,f1098]) ).
fof(f1100,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ1_spl
| aDivisorOf0(sz00,sdtasdt0(sz00,sz00)) ),
inference(resolution,[status(thm)],[f1099,f48]) ).
fof(f1101,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ1_spl
| aDivisorOf0(sz00,sz00) ),
inference(forward_demodulation,[status(thm)],[f549,f1100]) ).
fof(f1108,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ aInteger0(sz00) ),
inference(resolution,[status(thm)],[f1101,f238]) ).
fof(f1109,plain,
( ~ sQ5_spl
| ~ sQ8_spl
| ~ sQ1_spl
| ~ isPrime0(sz00) ),
inference(resolution,[status(thm)],[f1101,f539]) ).
fof(f1114,plain,
( ~ sQ8_spl
| ~ sQ5_spl
| ~ sQ1_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1108,f387,f297,f311,f334]) ).
fof(f1120,plain,
( ~ sQ1_spl
| sz00 = sdtasdt0(sz00,sz00) ),
inference(forward_demodulation,[status(thm)],[f298,f554]) ).
fof(f1121,plain,
( ~ sQ1_spl
| sz00 = sdtasdt0(sz00,sz00) ),
inference(forward_demodulation,[status(thm)],[f298,f671]) ).
fof(f1126,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ35_spl
| aInteger0(sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f775]) ).
fof(f1127,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ35_spl
| aInteger0(sdtpldt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f776]) ).
fof(f1136,plain,
( ~ sQ1_spl
| sdtasdt0(sz00,sz00) = sz00 ),
inference(forward_demodulation,[status(thm)],[f298,f672]) ).
fof(f1143,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| sz00 = sdtpldt0(smndt0(sz00),sK15_skl(sz00)) ),
inference(forward_demodulation,[status(thm)],[f612,f598]) ).
fof(f1146,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtpldt0(sdtasdt0(sz00,sz00),X0),X1) = sdtpldt0(sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f732]) ).
fof(f1147,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1146]) ).
fof(f1148,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sdtasdt0(sz00,sz00),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1147]) ).
fof(f1149,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1148]) ).
fof(f1150,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,sz00),X0) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f1149,f48]) ).
fof(f1151,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f289,f1150]) ).
fof(f1152,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| sdtpldt0(sz00,smndt0(sK15_skl(sz00))) = sz00 ),
inference(forward_demodulation,[status(thm)],[f612,f599]) ).
fof(f1153,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| sdtpldt0(sz00,smndt0(sz00)) = sz00 ),
inference(forward_demodulation,[status(thm)],[f612,f1152]) ).
fof(f1155,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| sz00 = sdtpldt0(smndt0(sz00),sK15_skl(sz00)) ),
inference(forward_demodulation,[status(thm)],[f612,f769]) ).
fof(f1170,plain,
! [X0] :
( ~ sQ5_spl
| aInteger0(sdtasdt0(smndt0(sz00),X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f272]) ).
fof(f1172,plain,
! [X0] :
( ~ sQ5_spl
| aInteger0(sdtpldt0(smndt0(sz00),X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f273]) ).
fof(f1174,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f275]) ).
fof(f1175,plain,
! [X0] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,X0))
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f259,f48]) ).
fof(f1176,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| sdtpldt0(sz00,smndt0(sK15_skl(sz00))) = sz00 ),
inference(forward_demodulation,[status(thm)],[f612,f770]) ).
fof(f1177,plain,
( ~ sQ33_spl
| ~ sQ35_spl
| sdtpldt0(sz00,smndt0(sz00)) = sz00 ),
inference(forward_demodulation,[status(thm)],[f612,f1176]) ).
fof(f1179,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtasdt0(sz00,sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X0),sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f733]) ).
fof(f1180,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X0),sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1179]) ).
fof(f1181,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sdtasdt0(sz00,sz00),X0),sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1180]) ).
fof(f1182,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1181]) ).
fof(f1183,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sdtasdt0(sz00,sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1182]) ).
fof(f1184,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1183]) ).
fof(f1185,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(sz00,X0)) = sdtpldt0(sdtasdt0(sz00,sz00),sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f1184,f48]) ).
fof(f1186,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(sz00,X0)) = sdtpldt0(sz00,sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1185]) ).
fof(f1187,plain,
( ~ sQ5_spl
| ~ sQ33_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sK15_skl(sz00)) = smndt0(sK15_skl(sz00)) ),
inference(forward_demodulation,[status(thm)],[f298,f590]) ).
fof(f1201,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtpldt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f276]) ).
fof(f1204,plain,
( ~ sQ5_spl
| sdtpldt0(smndt0(sz00),sz00) = smndt0(sz10) ),
inference(forward_demodulation,[status(thm)],[f312,f287]) ).
fof(f1210,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtasdt0(sz00,sz00),X0) = sdtasdt0(X0,sdtasdt0(sz00,smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f734]) ).
fof(f1211,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sdtasdt0(sz00,smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1210]) ).
fof(f1212,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sdtasdt0(sz00,sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1211]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1212]) ).
fof(f1215,plain,
( ~ sQ5_spl
| ~ sQ33_spl
| ~ sQ35_spl
| smndt0(sz00) = sdtasdt0(sK15_skl(sz00),smndt0(sz00)) ),
inference(forward_demodulation,[status(thm)],[f612,f758]) ).
fof(f1219,plain,
( ~ sQ5_spl
| ~ sQ33_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sK15_skl(sz00)) = smndt0(sK15_skl(sz00)) ),
inference(forward_demodulation,[status(thm)],[f298,f759]) ).
fof(f1237,plain,
( ~ sQ5_spl
| smndt0(sz00) = sdtpldt0(sz00,smndt0(sz10)) ),
inference(forward_demodulation,[status(thm)],[f312,f359]) ).
fof(f1241,plain,
( ~ sQ1_spl
| sdtasdt0(sz00,sz10) = smndt0(sz00) ),
inference(forward_demodulation,[status(thm)],[f298,f428]) ).
fof(f1244,plain,
! [X0,X1] :
( aInteger0(sK10_skl(X1,X0,sz00))
| aElementOf0(sK10_skl(X1,X0,sz00),X1)
| ~ aSet0(X1)
| X1 = szAzrzSzezqlpdtcmdtrp0(sz00,X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f190,f48]) ).
fof(f1245,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(sK10_skl(X1,X0,sz00),sz00,X0)
| aElementOf0(sK10_skl(X1,X0,sz00),X1)
| ~ aSet0(X1)
| X1 = szAzrzSzezqlpdtcmdtrp0(sz00,X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f191,f48]) ).
fof(f1246,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sK15_skl(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f596]) ).
fof(f1247,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f1246]) ).
fof(f1248,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtasdt0(sz00,sz00),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f735]) ).
fof(f1249,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sdtasdt0(sz00,smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1248]) ).
fof(f1250,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sdtasdt0(sz00,sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1249]) ).
fof(f1251,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1250]) ).
fof(f1252,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(sz00,X0)) = sdtasdt0(sdtasdt0(sz00,sz00),X0)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f1251,f48]) ).
fof(f1253,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(sz00,X0)) = sdtasdt0(sz00,X0)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1252]) ).
fof(f1262,plain,
! [X0] :
( ~ sQ61_spl
| ~ aDivisorOf0(X0,sz00)
| sdteqdtlpzmzozddtrp0(sz00,sz00,X0)
| X0 = sz00
| ~ aInteger0(X0)
| ~ aInteger0(sz00) ),
inference(paramodulation,[status(thm)],[f289,f947]) ).
fof(f1263,definition,
! [X0] :
( sQ65_spl
<=> ( ~ aDivisorOf0(X0,sz00)
| sdteqdtlpzmzozddtrp0(sz00,sz00,X0)
| X0 = sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f1264,plain,
! [X0] :
( ~ sQ65_spl
| ~ aDivisorOf0(X0,sz00)
| sdteqdtlpzmzozddtrp0(sz00,sz00,X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f1263]) ).
fof(f1266,plain,
( ~ sQ61_spl
| sQ65_spl
| ~ sQ15_spl ),
inference(split_clause,[status(thm)],[f1262,f387,f1263,f946]) ).
fof(f1272,plain,
( ~ sQ5_spl
| sdtasdt0(smndt0(sz00),sz10) = smndt0(sz10) ),
inference(forward_demodulation,[status(thm)],[f312,f429]) ).
fof(f1277,plain,
( ~ sQ1_spl
| sz00 = sdtasdt0(sz10,smndt0(sz00)) ),
inference(forward_demodulation,[status(thm)],[f298,f479]) ).
fof(f1280,plain,
( ~ sQ5_spl
| smndt0(sz00) = sdtasdt0(sz10,smndt0(sz10)) ),
inference(forward_demodulation,[status(thm)],[f312,f480]) ).
fof(f1285,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sK15_skl(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f603]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f1285]) ).
fof(f1293,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdteqdtlpzmzozddtrp0(sz00,sK15_skl(sz00),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f760]) ).
fof(f1294,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdteqdtlpzmzozddtrp0(sz00,sz00,X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f1293]) ).
fof(f1295,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sK15_skl(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f767]) ).
fof(f1296,plain,
! [X0] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f1295]) ).
fof(f1305,plain,
( ~ sQ1_spl
| sdtasdt0(smndt0(sz00),sz00) = sz00 ),
inference(forward_demodulation,[status(thm)],[f298,f550]) ).
fof(f1306,plain,
( ~ sQ1_spl
| sdtasdt0(sz00,sz00) = sz00 ),
inference(forward_demodulation,[status(thm)],[f298,f1305]) ).
fof(f1307,plain,
( ~ sQ1_spl
| sz00 = sdtasdt0(sz00,smndt0(sz00)) ),
inference(forward_demodulation,[status(thm)],[f298,f553]) ).
fof(f1308,plain,
( ~ sQ1_spl
| sz00 = sdtasdt0(sz00,sz00) ),
inference(forward_demodulation,[status(thm)],[f298,f1307]) ).
fof(f1313,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sdtasdt0(sz00,sz00),X0) = sdtpldt0(X0,sdtasdt0(sz00,smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f740]) ).
fof(f1314,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sdtasdt0(sz00,smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1313]) ).
fof(f1315,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sdtasdt0(sz00,sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1314]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1315]) ).
fof(f1322,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sdtasdt0(sz00,sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sdtasdt0(sz00,smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f741]) ).
fof(f1323,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sdtasdt0(sz00,smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1322]) ).
fof(f1324,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sdtasdt0(sz00,sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1323]) ).
fof(f1325,plain,
! [X0,X1] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f549,f1324]) ).
fof(f1326,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(sz00,X0)) = sdtpldt0(sdtpldt0(sz00,sz00),X0)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f1325,f48]) ).
fof(f1327,plain,
! [X0] :
( ~ sQ29_spl
| ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(sz00,X0)) = sdtpldt0(sz00,X0)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f289,f1326]) ).
fof(f1330,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f684]) ).
fof(f1331,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtpldt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f685]) ).
fof(f1337,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sK15_skl(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f597]) ).
fof(f1338,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f1337]) ).
fof(f1339,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sK15_skl(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f604]) ).
fof(f1340,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f1339]) ).
fof(f1341,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sK15_skl(sz00),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f593]) ).
fof(f1342,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f1341]) ).
fof(f1343,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sK15_skl(sz00),X0),sdtasdt0(sK15_skl(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f594]) ).
fof(f1344,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sK15_skl(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f1343]) ).
fof(f1345,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f1344]) ).
fof(f1346,plain,
( ~ sQ1_spl
| sz00 = sdtasdt0(sz00,smndt0(sz00)) ),
inference(forward_demodulation,[status(thm)],[f298,f785]) ).
fof(f1347,plain,
( ~ sQ1_spl
| sz00 = sdtasdt0(sz00,sz00) ),
inference(forward_demodulation,[status(thm)],[f298,f1346]) ).
fof(f1348,plain,
( ~ sQ1_spl
| sdtasdt0(smndt0(sz00),sz00) = sz00 ),
inference(forward_demodulation,[status(thm)],[f298,f786]) ).
fof(f1349,plain,
( ~ sQ1_spl
| sdtasdt0(sz00,sz00) = sz00 ),
inference(forward_demodulation,[status(thm)],[f298,f1348]) ).
fof(f1350,plain,
( ~ sQ1_spl
| sz00 = sdtasdt0(sz00,smndt0(sz00)) ),
inference(forward_demodulation,[status(thm)],[f298,f918]) ).
fof(f1351,plain,
( ~ sQ1_spl
| sz00 = sdtasdt0(sz00,sz00) ),
inference(forward_demodulation,[status(thm)],[f298,f1350]) ).
fof(f1352,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sK15_skl(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f768]) ).
fof(f1353,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f1352]) ).
fof(f1354,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sK15_skl(sz00),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f765]) ).
fof(f1355,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f1354]) ).
fof(f1356,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sK15_skl(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f774]) ).
fof(f1357,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f1356]) ).
fof(f1358,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sK15_skl(sz00),X0),sdtasdt0(sK15_skl(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f766]) ).
fof(f1359,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sK15_skl(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f1358]) ).
fof(f1360,plain,
! [X0,X1] :
( ~ sQ33_spl
| ~ sQ35_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f612,f1359]) ).
fof(f1361,plain,
! [X0] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz00,X0),cS1395)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f217,f48]) ).
fof(f1362,plain,
( ~ sQ1_spl
| sdtasdt0(smndt0(sz00),sz00) = sz00 ),
inference(forward_demodulation,[status(thm)],[f298,f919]) ).
fof(f1363,plain,
( ~ sQ1_spl
| sdtasdt0(sz00,sz00) = sz00 ),
inference(forward_demodulation,[status(thm)],[f298,f1362]) ).
fof(f1364,plain,
! [X0] :
( ~ sQ5_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sz10)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f284]) ).
fof(f1365,plain,
! [X0] :
( ~ sQ5_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1364]) ).
fof(f1366,plain,
! [X0] :
( isClosed0(szAzrzSzezqlpdtcmdtrp0(sz00,X0))
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f218,f48]) ).
fof(f1369,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz10,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f280]) ).
fof(f1370,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1369]) ).
fof(f1371,plain,
! [X0] :
( ~ sQ5_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sz10)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f424]) ).
fof(f1372,plain,
! [X0] :
( ~ sQ5_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1371]) ).
fof(f1373,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz10,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f418]) ).
fof(f1374,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1373]) ).
fof(f1375,plain,
( aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sz00))
| sz00 = sz00 ),
inference(resolution,[status(thm)],[f1175,f48]) ).
fof(f1376,definition,
( sQ66_spl
<=> aSet0(szAzrzSzezqlpdtcmdtrp0(sz00,sz00)) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f1379,plain,
( sQ66_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1375,f318,f1376]) ).
fof(f1380,plain,
( isClosed0(szAzrzSzezqlpdtcmdtrp0(sz00,sz00))
| sz00 = sz00 ),
inference(resolution,[status(thm)],[f1366,f48]) ).
fof(f1381,definition,
( sQ67_spl
<=> isClosed0(szAzrzSzezqlpdtcmdtrp0(sz00,sz00)) ),
introduced(definition,[new_symbols(definition,[sQ67_spl])],[split_symbol_definition]) ).
fof(f1384,plain,
( sQ67_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1380,f318,f1381]) ).
fof(f1385,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz10,X0),sdtasdt0(sz10,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f487]) ).
fof(f1386,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz10,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1385]) ).
fof(f1387,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1386]) ).
fof(f1388,plain,
! [X0] :
( ~ sQ5_spl
| aInteger0(sdtasdt0(smndt0(smndt0(sz00)),X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f331]) ).
fof(f1391,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sz10,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f493]) ).
fof(f1392,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1391]) ).
fof(f1393,plain,
! [X0] :
( ~ sQ5_spl
| aInteger0(sdtpldt0(smndt0(smndt0(sz00)),X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f332]) ).
fof(f1396,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtasdt0(smndt0(sz00),X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f346]) ).
fof(f1397,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1396]) ).
fof(f1398,plain,
! [X0] :
( aInteger0(sK10_skl(X0,sz00,sz00))
| aElementOf0(sK10_skl(X0,sz00,sz00),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(sz00,sz00)
| sz00 = sz00 ),
inference(resolution,[status(thm)],[f1244,f48]) ).
fof(f1399,definition,
! [X0] :
( sQ68_spl
<=> ( aInteger0(sK10_skl(X0,sz00,sz00))
| aElementOf0(sK10_skl(X0,sz00,sz00),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(sz00,sz00) ) ),
introduced(definition,[new_symbols(definition,[sQ68_spl])],[split_symbol_definition]) ).
fof(f1402,plain,
( sQ68_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1398,f318,f1399]) ).
fof(f1403,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtpldt0(smndt0(sz00),X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f347]) ).
fof(f1404,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtpldt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1403]) ).
fof(f1408,plain,
( ~ sQ5_spl
| sdtpldt0(smndt0(sz00),smndt0(smndt0(sz10))) = sz00 ),
inference(forward_demodulation,[status(thm)],[f312,f365]) ).
fof(f1413,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(sK10_skl(X0,sz00,sz00),sz00,sz00)
| aElementOf0(sK10_skl(X0,sz00,sz00),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(sz00,sz00)
| sz00 = sz00 ),
inference(resolution,[status(thm)],[f1245,f48]) ).
fof(f1414,definition,
! [X0] :
( sQ69_spl
<=> ( sdteqdtlpzmzozddtrp0(sK10_skl(X0,sz00,sz00),sz00,sz00)
| aElementOf0(sK10_skl(X0,sz00,sz00),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(sz00,sz00) ) ),
introduced(definition,[new_symbols(definition,[sQ69_spl])],[split_symbol_definition]) ).
fof(f1417,plain,
( sQ69_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1413,f318,f1414]) ).
fof(f1418,plain,
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz00,sz00),cS1395)
| sz00 = sz00 ),
inference(resolution,[status(thm)],[f1361,f48]) ).
fof(f1419,definition,
( sQ70_spl
<=> aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sz00,sz00),cS1395) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f1422,plain,
( sQ70_spl
| sQ7_spl ),
inference(split_clause,[status(thm)],[f1418,f318,f1419]) ).
fof(f1423,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f278]) ).
fof(f1424,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1423]) ).
fof(f1428,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtpldt0(smndt0(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(sz10),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f279]) ).
fof(f1429,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(sz10),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1428]) ).
fof(f1430,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1429]) ).
fof(f1431,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1430]) ).
fof(f1432,plain,
( ~ sQ5_spl
| sz00 = sdtpldt0(smndt0(smndt0(sz00)),smndt0(sz10)) ),
inference(forward_demodulation,[status(thm)],[f312,f371]) ).
fof(f1440,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f282]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1440]) ).
fof(f1442,plain,
! [X0] :
( ~ sQ5_spl
| sdtpldt0(smndt0(sz00),X0) = sdtpldt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f283]) ).
fof(f1443,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1442]) ).
fof(f1444,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1443]) ).
fof(f1445,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1444]) ).
fof(f1449,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtasdt0(smndt0(sz00),X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f797]) ).
fof(f1450,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1449]) ).
fof(f1451,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtpldt0(smndt0(sz00),X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f798]) ).
fof(f1452,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtpldt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1451]) ).
fof(f1453,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f416]) ).
fof(f1454,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1453]) ).
fof(f1455,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtasdt0(smndt0(sz00),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(sz10),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f417]) ).
fof(f1456,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(sz10),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1455]) ).
fof(f1457,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1456]) ).
fof(f1458,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1457]) ).
fof(f1459,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f422]) ).
fof(f1460,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1459]) ).
fof(f1461,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtasdt0(smndt0(sz00),X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f930]) ).
fof(f1462,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1461]) ).
fof(f1463,plain,
! [X0] :
( ~ sQ5_spl
| sdtasdt0(smndt0(sz00),X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f423]) ).
fof(f1464,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,smndt0(sz10))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1463]) ).
fof(f1465,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1464]) ).
fof(f1466,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1465]) ).
fof(f1467,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtpldt0(smndt0(sz00),X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f931]) ).
fof(f1468,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sdtpldt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1467]) ).
fof(f1469,plain,
( ~ sQ5_spl
| sdtpldt0(smndt0(smndt0(sz00)),sz00) = smndt0(smndt0(sz10)) ),
inference(forward_demodulation,[status(thm)],[f312,f328]) ).
fof(f1475,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(sz00),X0),sdtasdt0(smndt0(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f485]) ).
fof(f1476,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(smndt0(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1475]) ).
fof(f1477,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1476]) ).
fof(f1478,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtasdt0(smndt0(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(sz10),X0),sdtasdt0(smndt0(sz10),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f486]) ).
fof(f1479,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(sz10),X0),sdtasdt0(smndt0(sz10),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1478]) ).
fof(f1480,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(sz00),X0),sdtasdt0(smndt0(sz10),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1479]) ).
fof(f1481,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(smndt0(sz10),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1480]) ).
fof(f1482,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(smndt0(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1481]) ).
fof(f1483,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1482]) ).
fof(f1492,plain,
( ~ sQ5_spl
| smndt0(smndt0(sz00)) = sdtpldt0(sz00,smndt0(smndt0(sz10))) ),
inference(forward_demodulation,[status(thm)],[f312,f357]) ).
fof(f1498,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(smndt0(sz00),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f491]) ).
fof(f1499,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1498]) ).
fof(f1500,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtasdt0(sdtpldt0(smndt0(sz00),X0),X1) = sdtpldt0(sdtasdt0(smndt0(sz10),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f492]) ).
fof(f1501,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(smndt0(sz10),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1500]) ).
fof(f1502,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(smndt0(sz00),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1501]) ).
fof(f1503,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1502]) ).
fof(f1504,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(smndt0(sz00),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f673]) ).
fof(f1505,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1504]) ).
fof(f1506,plain,
( ~ sQ1_spl
| sdtasdt0(smndt0(sz00),sz10) = smndt0(smndt0(sz00)) ),
inference(forward_demodulation,[status(thm)],[f298,f426]) ).
fof(f1507,plain,
( ~ sQ1_spl
| sdtasdt0(sz00,sz10) = smndt0(smndt0(sz00)) ),
inference(forward_demodulation,[status(thm)],[f298,f1506]) ).
fof(f1511,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(sz00),X0),sdtasdt0(smndt0(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f674]) ).
fof(f1512,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(smndt0(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1511]) ).
fof(f1513,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1512]) ).
fof(f1514,plain,
( ~ sQ5_spl
| sdtasdt0(smndt0(smndt0(sz00)),sz10) = smndt0(smndt0(sz10)) ),
inference(forward_demodulation,[status(thm)],[f312,f427]) ).
fof(f1521,plain,
( ~ sQ1_spl
| smndt0(sz00) = sdtasdt0(sz10,smndt0(smndt0(sz00))) ),
inference(forward_demodulation,[status(thm)],[f298,f477]) ).
fof(f1522,plain,
( ~ sQ1_spl
| sz00 = sdtasdt0(sz10,smndt0(smndt0(sz00))) ),
inference(forward_demodulation,[status(thm)],[f298,f1521]) ).
fof(f1526,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f675]) ).
fof(f1527,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1526]) ).
fof(f1528,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f676]) ).
fof(f1529,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1528]) ).
fof(f1530,plain,
( ~ sQ5_spl
| smndt0(smndt0(sz00)) = sdtasdt0(sz10,smndt0(smndt0(sz10))) ),
inference(forward_demodulation,[status(thm)],[f312,f478]) ).
fof(f1545,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f682]) ).
fof(f1546,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1545]) ).
fof(f1547,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f683]) ).
fof(f1548,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1547]) ).
fof(f1549,plain,
! [X0] :
( ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(sz00,smndt0(sz00),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f695]) ).
fof(f1550,plain,
! [X0] :
( ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(sz00,sz00,X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1549]) ).
fof(f1555,plain,
! [X0] :
( ~ sQ5_spl
| sdtpldt0(smndt0(smndt0(sz00)),X0) = sdtpldt0(X0,smndt0(smndt0(sz10)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f329]) ).
fof(f1556,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(smndt0(sz00),X0) = sdtpldt0(X0,smndt0(smndt0(sz10)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1555]) ).
fof(f1557,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,smndt0(smndt0(sz10)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1556]) ).
fof(f1558,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1557]) ).
fof(f1559,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1558]) ).
fof(f1560,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1559]) ).
fof(f1570,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtpldt0(smndt0(smndt0(sz00)),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(smndt0(sz10)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f330]) ).
fof(f1571,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(smndt0(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(smndt0(sz10)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1570]) ).
fof(f1572,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(smndt0(sz10)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1571]) ).
fof(f1573,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1572]) ).
fof(f1574,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1573]) ).
fof(f1575,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1574]) ).
fof(f1576,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(smndt0(sz00),X0) = sdtpldt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f344]) ).
fof(f1577,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1576]) ).
fof(f1578,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1577]) ).
fof(f1579,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1578]) ).
fof(f1580,plain,
( ~ sQ5_spl
| sdtpldt0(smndt0(smndt0(sz00)),smndt0(smndt0(smndt0(sz10)))) = sz00 ),
inference(forward_demodulation,[status(thm)],[f312,f363]) ).
fof(f1592,plain,
( ~ sQ5_spl
| sz00 = sdtpldt0(smndt0(smndt0(smndt0(sz00))),smndt0(smndt0(sz10))) ),
inference(forward_demodulation,[status(thm)],[f312,f369]) ).
fof(f1599,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(smndt0(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f345]) ).
fof(f1600,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1599]) ).
fof(f1601,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1600]) ).
fof(f1602,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1601]) ).
fof(f1603,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(smndt0(sz00),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f414]) ).
fof(f1604,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1603]) ).
fof(f1605,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1604]) ).
fof(f1606,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1605]) ).
fof(f1607,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtasdt0(smndt0(smndt0(sz00)),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz10)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f415]) ).
fof(f1608,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(smndt0(sz00),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz10)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1607]) ).
fof(f1609,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz10)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1608]) ).
fof(f1610,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1609]) ).
fof(f1611,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1610]) ).
fof(f1612,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1611]) ).
fof(f1618,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(smndt0(sz00),X0) = sdtasdt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f420]) ).
fof(f1619,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1618]) ).
fof(f1620,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1619]) ).
fof(f1621,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1620]) ).
fof(f1632,plain,
! [X0] :
( ~ sQ5_spl
| sdtasdt0(smndt0(smndt0(sz00)),X0) = sdtasdt0(X0,smndt0(smndt0(sz10)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f421]) ).
fof(f1633,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(smndt0(sz00),X0) = sdtasdt0(X0,smndt0(smndt0(sz10)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1632]) ).
fof(f1634,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,smndt0(smndt0(sz10)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1633]) ).
fof(f1635,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1634]) ).
fof(f1636,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1635]) ).
fof(f1637,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1636]) ).
fof(f1638,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(smndt0(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X0),sdtasdt0(smndt0(smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f483]) ).
fof(f1639,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X0),sdtasdt0(smndt0(smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1638]) ).
fof(f1640,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(sz00),X0),sdtasdt0(smndt0(smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1639]) ).
fof(f1641,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(smndt0(smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1640]) ).
fof(f1642,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(smndt0(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1641]) ).
fof(f1643,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1642]) ).
fof(f1649,plain,
! [X0] :
( ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(smndt0(sz00),smndt0(smndt0(sz00)),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f782]) ).
fof(f1650,plain,
! [X0] :
( ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(sz00,smndt0(smndt0(sz00)),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1649]) ).
fof(f1651,plain,
! [X0] :
( ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(sz00,smndt0(sz00),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1650]) ).
fof(f1652,plain,
! [X0] :
( ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(sz00,sz00,X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1651]) ).
fof(f1653,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(smndt0(sz00),X0) = sdtasdt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f789]) ).
fof(f1654,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1653]) ).
fof(f1655,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1654]) ).
fof(f1656,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1655]) ).
fof(f1657,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtasdt0(smndt0(smndt0(sz00)),sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz10)),X0),sdtasdt0(smndt0(smndt0(sz10)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f484]) ).
fof(f1658,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(smndt0(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz10)),X0),sdtasdt0(smndt0(smndt0(sz10)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1657]) ).
fof(f1659,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz10)),X0),sdtasdt0(smndt0(smndt0(sz10)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1658]) ).
fof(f1660,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X0),sdtasdt0(smndt0(smndt0(sz10)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1659]) ).
fof(f1661,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(sz00),X0),sdtasdt0(smndt0(smndt0(sz10)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1660]) ).
fof(f1662,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(smndt0(smndt0(sz10)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1661]) ).
fof(f1663,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(smndt0(smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1662]) ).
fof(f1664,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(smndt0(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1663]) ).
fof(f1665,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1664]) ).
fof(f1666,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(smndt0(sz00),X0),X1) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f489]) ).
fof(f1667,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1666]) ).
fof(f1668,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(smndt0(sz00),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1667]) ).
fof(f1669,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1668]) ).
fof(f1670,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdtasdt0(sdtpldt0(smndt0(smndt0(sz00)),X0),X1) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz10)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f490]) ).
fof(f1671,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtpldt0(smndt0(sz00),X0),X1) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz10)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1670]) ).
fof(f1672,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz10)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1671]) ).
fof(f1673,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f312,f1672]) ).
fof(f1674,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(smndt0(sz00),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1673]) ).
fof(f1675,plain,
! [X0,X1] :
( ~ sQ5_spl
| ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1674]) ).
fof(f1676,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(smndt0(sz00),X0) = sdtpldt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f795]) ).
fof(f1677,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1676]) ).
fof(f1678,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1677]) ).
fof(f1679,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1678]) ).
fof(f1680,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(smndt0(sz00),X0),X1) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f787]) ).
fof(f1681,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1680]) ).
fof(f1682,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(smndt0(sz00),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1681]) ).
fof(f1683,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1682]) ).
fof(f1684,plain,
! [X0] :
( ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(smndt0(sz00),smndt0(smndt0(sz00)),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f915]) ).
fof(f1685,plain,
! [X0] :
( ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(sz00,smndt0(smndt0(sz00)),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1684]) ).
fof(f1686,plain,
! [X0] :
( ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(sz00,smndt0(sz00),X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1685]) ).
fof(f1687,plain,
! [X0] :
( ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(sz00,sz00,X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1686]) ).
fof(f1688,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(smndt0(sz00),X0) = sdtasdt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f922]) ).
fof(f1689,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1688]) ).
fof(f1690,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1689]) ).
fof(f1691,plain,
! [X0] :
( ~ sQ1_spl
| sdtasdt0(sz00,X0) = sdtasdt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1690]) ).
fof(f1692,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(smndt0(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X0),sdtasdt0(smndt0(smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f788]) ).
fof(f1693,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X0),sdtasdt0(smndt0(smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1692]) ).
fof(f1694,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(sz00),X0),sdtasdt0(smndt0(smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1693]) ).
fof(f1695,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(smndt0(smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1694]) ).
fof(f1696,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(smndt0(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1695]) ).
fof(f1697,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1696]) ).
fof(f1698,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(smndt0(sz00),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f790]) ).
fof(f1699,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1698]) ).
fof(f1700,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1699]) ).
fof(f1701,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1700]) ).
fof(f1702,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(smndt0(sz00),X0) = sdtpldt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f928]) ).
fof(f1703,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,smndt0(smndt0(sz00)))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1702]) ).
fof(f1704,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,smndt0(sz00))
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1703]) ).
fof(f1705,plain,
! [X0] :
( ~ sQ1_spl
| sdtpldt0(sz00,X0) = sdtpldt0(X0,sz00)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1704]) ).
fof(f1706,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(smndt0(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f796]) ).
fof(f1707,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1706]) ).
fof(f1708,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1707]) ).
fof(f1709,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1708]) ).
fof(f1710,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(smndt0(sz00),sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f923]) ).
fof(f1711,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1710]) ).
fof(f1712,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1711]) ).
fof(f1713,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(sdtasdt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1712]) ).
fof(f1714,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(smndt0(sz00),X0),X1) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f920]) ).
fof(f1715,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1714]) ).
fof(f1716,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(smndt0(sz00),X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1715]) ).
fof(f1717,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1716]) ).
fof(f1718,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(smndt0(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X0),sdtasdt0(smndt0(smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f921]) ).
fof(f1719,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(smndt0(sz00)),X0),sdtasdt0(smndt0(smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1718]) ).
fof(f1720,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(smndt0(sz00),X0),sdtasdt0(smndt0(smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1719]) ).
fof(f1721,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(smndt0(smndt0(sz00)),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1720]) ).
fof(f1722,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(smndt0(sz00),X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1721]) ).
fof(f1723,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtasdt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1722]) ).
fof(f1724,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(smndt0(sz00),sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f929]) ).
fof(f1725,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(smndt0(sz00)),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1724]) ).
fof(f1726,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(smndt0(sz00),X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1725]) ).
fof(f1727,plain,
! [X0,X1] :
( ~ sQ1_spl
| sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(sdtpldt0(sz00,X0),X1)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_demodulation,[status(thm)],[f298,f1726]) ).
fof(model,axiom,
( sQ1_spl
| ~ sQ2_spl
| sQ3_spl
| ~ sQ4_spl
| sQ5_spl
| ~ sQ6_spl
| sQ7_spl
| ~ sQ8_spl
| sQ9_spl
| sQ11_spl
| sQ12_spl
| ~ sQ14_spl
| sQ15_spl
| sQ16_spl
| sQ18_spl
| ~ sQ19_spl
| sQ21_spl
| sQ22_spl
| sQ24_spl
| ~ sQ26_spl
| ~ sQ28_spl
| sQ29_spl
| ~ sQ31_spl
| ~ sQ32_spl
| sQ33_spl
| sQ35_spl
| sQ41_spl
| sQ57_spl
| sQ59_spl
| sQ61_spl
| sQ65_spl ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM448+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : drodi -satmode(on) -timeout(300) /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/6.01 % Computer : n018.cluster.edu
% 0.12/6.01 % Model : x86_64 x86_64
% 0.12/6.01 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/6.01 % Memory : 8046.5625MB
% 0.12/6.01 % OS : Linux 6.8.0-71-generic
% 0.12/6.01 % CPULimit : 300
% 0.12/6.01 % WCLimit : 300
% 0.12/6.01 % DateTime : Mon Sep 21 02:32:49 UTC 2026
% 0.12/6.01 % CPUTime :
% 0.12/6.04 % Drodi V4.1.1
% 0.17/6.26 % SZS status CounterSatisfiable for theBenchmark: Theorem is counter-satisfiable, conjecture is false
% 0.17/6.26 % SZS output start Saturation for theBenchmark
% See solution above
% 0.17/6.30 % Elapsed time: 0.272034 seconds
% 0.17/6.30 % CPU time: 1.720653 seconds
% 0.17/6.30 % Total memory used: 124.186 MB
% 0.17/6.30 % Net memory used: 122.381 MB
%------------------------------------------------------------------------------