%------------------------------------------------------------------------------
% File : Drodi---4.1.1
% Problem : NUM442+6 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n019.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 01:40:33 PM UTC 2026
% Result : Theorem 78.49s 10.43s
% Output : CNFRefutation 78.49s
% Verified :
% SZS Type : Refutation
% Derivation depth : 13
% Number of leaves : 184
% Syntax : Number of formulae : 783 ( 14 unt; 171 def)
% Number of atoms : 4768 ( 597 equ)
% Maximal formula atoms : 56 ( 6 avg)
% Number of connectives : 6531 (2546 ~;3219 |; 505 &)
% ( 207 <=>; 54 =>; 0 <=; 0 <~>)
% Maximal formula depth : 23 ( 8 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 172 ( 170 usr; 159 prp; 0-3 aty)
% Number of functors : 36 ( 36 usr; 11 con; 0-3 aty)
% Number of variables : 1174 (1093 !; 81 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f3,axiom,
aInteger0(sz10),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f4,axiom,
! [W0] :
( aInteger0(W0)
=> aInteger0(smndt0(W0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f5,axiom,
! [W0,W1] :
( ( aInteger0(W1)
& aInteger0(W0) )
=> aInteger0(sdtpldt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f6,axiom,
! [W0,W1] :
( ( aInteger0(W1)
& aInteger0(W0) )
=> aInteger0(sdtasdt0(W0,W1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f17,axiom,
! [W0,W1] :
( ( aInteger0(W1)
& aInteger0(W0) )
=> ( sdtasdt0(W0,W1) = sz00
=> ( W1 = sz00
| W0 = sz00 ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f20,axiom,
! [W0,W1] :
( ( W1 != sz00
& aInteger0(W1)
& aInteger0(W0) )
=> sdteqdtlpzmzozddtrp0(W0,W0,W1) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f25,axiom,
! [W0] :
( aInteger0(W0)
=> ( ? [W1] :
( isPrime0(W1)
& aDivisorOf0(W1,W0) )
<=> ( W0 != smndt0(sz10)
& W0 != sz10 ) ) ),
file('/export/starexec/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/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/sandbox2/benchmark/theBenchmark.p') ).
fof(f36,definition,
! [W0] :
( aSubsetOf0(W0,cS1395)
=> ( isClosed0(W0)
<=> isOpen0(stldt0(W0)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f41,hypothesis,
( xq != sz00
& aInteger0(xq)
& aInteger0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f42,conjecture,
( ( ! [W0] :
( ( ( ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
| aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
| ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) ) )
& aInteger0(W0) )
=> aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) )
& aInteger0(W0) ) ) )
=> ( isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ( ! [W0] :
( aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(W0) ) )
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
=> ( isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ! [W0] :
( aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
=> ? [W1] :
( ( ( ! [W2] :
( ( ( ( sdteqdtlpzmzozddtrp0(W2,W0,W1)
| aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
| ? [W3] :
( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0))
& aInteger0(W3) ) )
& aInteger0(W2) )
=> aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) )
& ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
=> ( sdteqdtlpzmzozddtrp0(W2,W0,W1)
& aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& ? [W3] :
( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0))
& aInteger0(W3) )
& aInteger0(W2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ! [W2] :
( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
=> aElementOf0(W2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) )
& W1 != sz00
& aInteger0(W1) ) ) ) ) ) )
& ( ( ! [W0] :
( ( ( ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
| aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
| ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) ) )
& aInteger0(W0) )
=> aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) )
& aInteger0(W0) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
=> ( ( ! [W0] :
( aElementOf0(W0,cS1395)
<=> aInteger0(W0) )
& aSet0(cS1395) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
| ! [W0] :
( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> aElementOf0(W0,cS1395) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p') ).
fof(f43,negated_conjecture,
~ ( ( ! [W0] :
( ( ( ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
| aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
| ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) ) )
& aInteger0(W0) )
=> aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) )
& aInteger0(W0) ) ) )
=> ( isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ( ! [W0] :
( aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(W0) ) )
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
=> ( isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ! [W0] :
( aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
=> ? [W1] :
( ( ( ! [W2] :
( ( ( ( sdteqdtlpzmzozddtrp0(W2,W0,W1)
| aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
| ? [W3] :
( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0))
& aInteger0(W3) ) )
& aInteger0(W2) )
=> aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) )
& ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
=> ( sdteqdtlpzmzozddtrp0(W2,W0,W1)
& aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& ? [W3] :
( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0))
& aInteger0(W3) )
& aInteger0(W2) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1)) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ! [W2] :
( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
=> aElementOf0(W2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ) )
& W1 != sz00
& aInteger0(W1) ) ) ) ) ) )
& ( ( ! [W0] :
( ( ( ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
| aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
| ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) ) )
& aInteger0(W0) )
=> aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) )
& aInteger0(W0) ) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
=> ( ( ! [W0] :
( aElementOf0(W0,cS1395)
<=> aInteger0(W0) )
& aSet0(cS1395) )
=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
| ! [W0] :
( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
=> aElementOf0(W0,cS1395) ) ) ) ) ),
inference(negated_conjecture,[status(cth)],[f42]) ).
fof(f47,plain,
aInteger0(sz00),
inference(cnf_transformation,[status(thm)],[f2]) ).
fof(f48,plain,
aInteger0(sz10),
inference(cnf_transformation,[status(thm)],[f3]) ).
fof(f49,plain,
! [W0] :
( aInteger0(smndt0(W0))
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f4]) ).
fof(f50,plain,
! [X0] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f49]) ).
fof(f51,plain,
! [W0,W1] :
( aInteger0(sdtpldt0(W0,W1))
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f5]) ).
fof(f52,plain,
! [X0,X1] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f51]) ).
fof(f53,plain,
! [W0,W1] :
( aInteger0(sdtasdt0(W0,W1))
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f6]) ).
fof(f54,plain,
! [X0,X1] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f53]) ).
fof(f81,plain,
! [W0,W1] :
( W1 = sz00
| W0 = sz00
| sdtasdt0(W0,W1) != sz00
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f17]) ).
fof(f82,plain,
! [X0,X1] :
( X1 = sz00
| X0 = sz00
| sdtasdt0(X0,X1) != sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f81]) ).
fof(f83,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(f84,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)],[f83]) ).
fof(f85,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)],[f84]) ).
fof(f86,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))],[f85]) ).
fof(f88,plain,
! [X0,X1] :
( X1 != sz00
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f89,plain,
! [X0,X1] :
( aInteger0(sK0_skl(X1,X0))
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f90,plain,
! [X0,X1] :
( sdtasdt0(X1,sK0_skl(X1,X0)) = X0
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f91,plain,
! [X0,X1,X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2)
| X1 = sz00
| ~ aInteger0(X1)
| aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f86]) ).
fof(f92,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(f93,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)],[f92]) ).
fof(f94,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)],[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)],[f93]) ).
fof(f96,plain,
! [W0,W1] :
( sdteqdtlpzmzozddtrp0(W0,W0,W1)
| W1 = sz00
| ~ aInteger0(W1)
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f20]) ).
fof(f97,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f96]) ).
fof(f98,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(f99,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)],[f98]) ).
fof(f100,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(f101,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)],[f100]) ).
fof(f102,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(f103,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)],[f102]) ).
fof(f104,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)],[f102]) ).
fof(f107,plain,
! [W0] :
( ( ? [W1] :
( isPrime0(W1)
& aDivisorOf0(W1,W0) )
<=> ( W0 != smndt0(sz10)
& W0 != sz10 ) )
| ~ aInteger0(W0) ),
inference(pre_NNF_transformation,[status(thm)],[f25]) ).
fof(f108,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)],[f107]) ).
fof(f109,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))],[f108]) ).
fof(f111,plain,
! [X0,X1] :
( X0 != smndt0(sz10)
| ~ isPrime0(X1)
| ~ aDivisorOf0(X1,X0)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f109]) ).
fof(f120,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(f121,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)],[f120]) ).
fof(f122,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)],[f121]) ).
fof(f123,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))],[f122]) ).
fof(f125,plain,
! [X0,X1,X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f126,plain,
! [X0,X1] :
( aElementOf0(sK2_skl(X1,X0),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f127,plain,
! [X0,X1] :
( ~ aElementOf0(sK2_skl(X1,X0),X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[status(thm)],[f123]) ).
fof(f130,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(f131,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)],[f130]) ).
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) )
& ! [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)],[f131]) ).
fof(f133,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))],[f132]) ).
fof(f135,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)],[f133]) ).
fof(f137,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)],[f133]) ).
fof(f138,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)],[f133]) ).
fof(f139,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)],[f133]) ).
fof(f140,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)],[f133]) ).
fof(f141,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)],[f133]) ).
fof(f142,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)],[f133]) ).
fof(f143,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(f144,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(f145,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)],[f143,f144]) ).
fof(f146,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)],[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) )
& ! [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)],[f146]) ).
fof(f148,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))],[f147]) ).
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)],[f148]) ).
fof(f154,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(f155,definition,
! [W0,W1] :
( sP1_prd(W1,W0)
<=> ( ~ aSubsetOf0(W1,cS1395)
& aElementOf0(W1,W0) ) ),
introduced(definition,[new_symbols(definition,[sP1_prd])],[]) ).
fof(f156,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)],[f154,f155]) ).
fof(f157,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)],[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) )
& ! [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)],[f157]) ).
fof(f159,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))],[f158]) ).
fof(f162,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)],[f159]) ).
fof(f165,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)],[f159]) ).
fof(f166,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)],[f159]) ).
fof(f167,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)],[f159]) ).
fof(f169,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(f170,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)],[f169]) ).
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) )
& ! [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)],[f170]) ).
fof(f172,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))],[f171]) ).
fof(f173,plain,
! [X0,X1] :
( aSet0(X1)
| X1 != stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f176,plain,
! [X0,X1,X2] :
( aElementOf0(X2,X0)
| ~ aInteger0(X2)
| aElementOf0(X2,X1)
| X1 != stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f172]) ).
fof(f177,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)],[f172]) ).
fof(f178,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)],[f172]) ).
fof(f179,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)],[f172]) ).
fof(f180,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(f181,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)],[f180]) ).
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) )
& ! [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)],[f181]) ).
fof(f183,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))],[f182]) ).
fof(f184,plain,
! [X0,X1,X2] :
( aSet0(X2)
| X2 != szAzrzSzezqlpdtcmdtrp0(X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[status(thm)],[f183]) ).
fof(f185,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)],[f183]) ).
fof(f186,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)],[f183]) ).
fof(f187,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)],[f183]) ).
fof(f188,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)],[f183]) ).
fof(f189,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)],[f183]) ).
fof(f190,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)],[f183]) ).
fof(f191,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(f192,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)],[f191]) ).
fof(f193,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))],[f192]) ).
fof(f194,plain,
! [X0,X1] :
( aInteger0(sK11_skl(X1,X0))
| ~ aElementOf0(X1,X0)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f195,plain,
! [X0,X1] :
( sK11_skl(X1,X0) != sz00
| ~ aElementOf0(X1,X0)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f196,plain,
! [X0,X1] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X1,sK11_skl(X1,X0)),X0)
| ~ aElementOf0(X1,X0)
| ~ isOpen0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f197,plain,
! [X0] :
( aElementOf0(sK12_skl(X0),X0)
| isOpen0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f193]) ).
fof(f199,plain,
! [W0] :
( ( isClosed0(W0)
<=> isOpen0(stldt0(W0)) )
| ~ aSubsetOf0(W0,cS1395) ),
inference(pre_NNF_transformation,[status(thm)],[f36]) ).
fof(f200,plain,
! [W0] :
( ( ( ~ isOpen0(stldt0(W0))
| isClosed0(W0) )
& ( isOpen0(stldt0(W0))
| ~ isClosed0(W0) ) )
| ~ aSubsetOf0(W0,cS1395) ),
inference(NNF_transformation,[status(thm)],[f199]) ).
fof(f201,plain,
! [X0] :
( isOpen0(stldt0(X0))
| ~ isClosed0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f202,plain,
! [X0] :
( ~ isOpen0(stldt0(X0))
| isClosed0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(cnf_transformation,[status(thm)],[f200]) ).
fof(f215,plain,
aInteger0(xa),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f216,plain,
aInteger0(xq),
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f217,plain,
xq != sz00,
inference(cnf_transformation,[status(thm)],[f41]) ).
fof(f218,plain,
( ( ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [W0] :
( ! [W1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [W2] :
( ~ aElementOf0(W2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) )
& ! [W2] :
( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| ( ~ sdteqdtlpzmzozddtrp0(W2,W0,W1)
& ~ aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& ! [W3] :
( sdtasdt0(W1,W3) != sdtpldt0(W2,smndt0(W0))
| ~ aInteger0(W3) ) )
| ~ aInteger0(W2) )
& ( ( sdteqdtlpzmzozddtrp0(W2,W0,W1)
& aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& ? [W3] :
( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0))
& aInteger0(W3) )
& aInteger0(W2) )
| ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1)) )
| W1 = sz00
| ~ aInteger0(W1) )
& aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ! [W0] :
( aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(W0) ) )
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [W0] :
( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(W0,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ! [W1] :
( sdtasdt0(xq,W1) != sdtpldt0(W0,smndt0(xa))
| ~ aInteger0(W1) ) )
| ~ aInteger0(W0) )
& ( ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) )
& aInteger0(W0) )
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
| ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& ? [W0] :
( ~ aElementOf0(W0,cS1395)
& aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ! [W0] :
( aElementOf0(W0,cS1395)
<=> aInteger0(W0) )
& aSet0(cS1395)
& ! [W0] :
( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(W0,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ! [W1] :
( sdtasdt0(xq,W1) != sdtpldt0(W0,smndt0(xa))
| ~ aInteger0(W1) ) )
| ~ aInteger0(W0) )
& ( ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) )
& aInteger0(W0) )
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ),
inference(pre_NNF_transformation,[status(thm)],[f43]) ).
fof(f219,definition,
( sP2_prd
<=> ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& ? [W0] :
( ~ aElementOf0(W0,cS1395)
& aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ! [W0] :
( aElementOf0(W0,cS1395)
<=> aInteger0(W0) )
& aSet0(cS1395)
& ! [W0] :
( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(W0,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ! [W1] :
( sdtasdt0(xq,W1) != sdtpldt0(W0,smndt0(xa))
| ~ aInteger0(W1) ) )
| ~ aInteger0(W0) )
& ( ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) )
& aInteger0(W0) )
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ),
introduced(definition,[new_symbols(definition,[sP2_prd])],[]) ).
fof(f220,plain,
( ( ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [W0] :
( ! [W1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [W2] :
( ~ aElementOf0(W2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) )
& ! [W2] :
( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| ( ~ sdteqdtlpzmzozddtrp0(W2,W0,W1)
& ~ aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& ! [W3] :
( sdtasdt0(W1,W3) != sdtpldt0(W2,smndt0(W0))
| ~ aInteger0(W3) ) )
| ~ aInteger0(W2) )
& ( ( sdteqdtlpzmzozddtrp0(W2,W0,W1)
& aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& ? [W3] :
( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0))
& aInteger0(W3) )
& aInteger0(W2) )
| ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1)) )
| W1 = sz00
| ~ aInteger0(W1) )
& aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ! [W0] :
( aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
<=> ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(W0) ) )
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [W0] :
( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(W0,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ! [W1] :
( sdtasdt0(xq,W1) != sdtpldt0(W0,smndt0(xa))
| ~ aInteger0(W1) ) )
| ~ aInteger0(W0) )
& ( ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) )
& aInteger0(W0) )
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
| sP2_prd ),
inference(formula_renaming,[status(thm)],[f218,f219]) ).
fof(f221,plain,
( ( ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [W0] :
( ! [W1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [W2] :
( ~ aElementOf0(W2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) )
& ! [W2] :
( ( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| ( ~ sdteqdtlpzmzozddtrp0(W2,W0,W1)
& ~ aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& ! [W3] :
( sdtasdt0(W1,W3) != sdtpldt0(W2,smndt0(W0))
| ~ aInteger0(W3) ) )
| ~ aInteger0(W2) )
& ( ( sdteqdtlpzmzozddtrp0(W2,W0,W1)
& aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& ? [W3] :
( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0))
& aInteger0(W3) )
& aInteger0(W2) )
| ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) ) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1)) )
| W1 = sz00
| ~ aInteger0(W1) )
& aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ! [W0] :
( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(W0)
| aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ( ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(W0) )
| ~ aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) )
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [W0] :
( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(W0,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ! [W1] :
( sdtasdt0(xq,W1) != sdtpldt0(W0,smndt0(xa))
| ~ aInteger0(W1) ) )
| ~ aInteger0(W0) )
& ( ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) )
& aInteger0(W0) )
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ) )
| sP2_prd ),
inference(NNF_transformation,[status(thm)],[f220]) ).
fof(f222,plain,
( ( ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [W0] :
( ! [W1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(W0,W1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ? [W2] :
( ~ aElementOf0(W2,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) )
& ! [W2] :
( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1))
| ( ~ sdteqdtlpzmzozddtrp0(W2,W0,W1)
& ~ aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& ! [W3] :
( sdtasdt0(W1,W3) != sdtpldt0(W2,smndt0(W0))
| ~ aInteger0(W3) ) )
| ~ aInteger0(W2) )
& ! [W2] :
( ( sdteqdtlpzmzozddtrp0(W2,W0,W1)
& aDivisorOf0(W1,sdtpldt0(W2,smndt0(W0)))
& ? [W3] :
( sdtasdt0(W1,W3) = sdtpldt0(W2,smndt0(W0))
& aInteger0(W3) )
& aInteger0(W2) )
| ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(W0,W1)) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(W0,W1)) )
| W1 = sz00
| ~ aInteger0(W1) )
& aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ! [W0] :
( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(W0)
| aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ! [W0] :
( ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(W0) )
| ~ aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [W0] :
( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(W0,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ! [W1] :
( sdtasdt0(xq,W1) != sdtpldt0(W0,smndt0(xa))
| ~ aInteger0(W1) ) )
| ~ aInteger0(W0) )
& ! [W0] :
( ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) )
& aInteger0(W0) )
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
| sP2_prd ),
inference(miniscoping,[status(thm)],[f221]) ).
fof(f223,plain,
( ( ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [W1] :
( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK16_skl,W1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ~ aElementOf0(sK18_skl(W1),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& aElementOf0(sK18_skl(W1),szAzrzSzezqlpdtcmdtrp0(sK16_skl,W1))
& ! [W2] :
( aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sK16_skl,W1))
| ( ~ sdteqdtlpzmzozddtrp0(W2,sK16_skl,W1)
& ~ aDivisorOf0(W1,sdtpldt0(W2,smndt0(sK16_skl)))
& ! [W3] :
( sdtasdt0(W1,W3) != sdtpldt0(W2,smndt0(sK16_skl))
| ~ aInteger0(W3) ) )
| ~ aInteger0(W2) )
& ! [W2] :
( ( sdteqdtlpzmzozddtrp0(W2,sK16_skl,W1)
& aDivisorOf0(W1,sdtpldt0(W2,smndt0(sK16_skl)))
& sdtasdt0(W1,sK17_skl(W2,W1)) = sdtpldt0(W2,smndt0(sK16_skl))
& aInteger0(sK17_skl(W2,W1))
& aInteger0(W2) )
| ~ aElementOf0(W2,szAzrzSzezqlpdtcmdtrp0(sK16_skl,W1)) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(sK16_skl,W1)) )
| W1 = sz00
| ~ aInteger0(W1) )
& aElementOf0(sK16_skl,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [W0] :
( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(W0)
| aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& ! [W0] :
( ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& aInteger0(W0) )
| ~ aElementOf0(W0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) )
& aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
& ! [W0] :
( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(W0,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ! [W1] :
( sdtasdt0(xq,W1) != sdtpldt0(W0,smndt0(xa))
| ~ aInteger0(W1) ) )
| ~ aInteger0(W0) )
& ! [W0] :
( ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& sdtasdt0(xq,sK15_skl(W0)) = sdtpldt0(W0,smndt0(xa))
& aInteger0(sK15_skl(W0))
& aInteger0(W0) )
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) )
| sP2_prd ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK15_skl,sK16_skl,sK17_skl,sK18_skl]),skolemize(W1,sK15_skl(W0)),skolemize(W0,sK16_skl),skolemize(W3,sK17_skl(W2,W1)),skolemize(W2,sK18_skl(W1))],[f222]) ).
fof(f224,plain,
! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f228,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f231,plain,
! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f233,plain,
! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f234,plain,
! [X0] :
( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f235,plain,
! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X0)
| aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f236,plain,
( aElementOf0(sK16_skl,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f238,plain,
! [X0,X1] :
( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sK16_skl,X0))
| X0 = sz00
| ~ aInteger0(X0)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f242,plain,
! [X0,X1] :
( sdteqdtlpzmzozddtrp0(X1,sK16_skl,X0)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sK16_skl,X0))
| X0 = sz00
| ~ aInteger0(X0)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f246,plain,
! [X0] :
( aElementOf0(sK18_skl(X0),szAzrzSzezqlpdtcmdtrp0(sK16_skl,X0))
| X0 = sz00
| ~ aInteger0(X0)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f247,plain,
! [X0] :
( ~ aElementOf0(sK18_skl(X0),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| X0 = sz00
| ~ aInteger0(X0)
| sP2_prd ),
inference(cnf_transformation,[status(thm)],[f223]) ).
fof(f251,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)],[f144]) ).
fof(f252,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)],[f251]) ).
fof(f253,plain,
! [X0,X1,X2] :
( aInteger0(X0)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f254,plain,
! [X0,X1,X2] :
( aElementOf0(X0,X2)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f255,plain,
! [X0,X1,X2] :
( aElementOf0(X0,X1)
| ~ sP0_prd(X0,X1,X2) ),
inference(cnf_transformation,[status(thm)],[f252]) ).
fof(f262,definition,
! [W0] :
( sP3_prd(W0)
<=> ( ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) )
& aInteger0(W0) )
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ),
introduced(definition,[new_symbols(definition,[sP3_prd])],[]) ).
fof(f263,plain,
( sP2_prd
<=> ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& ? [W0] :
( ~ aElementOf0(W0,cS1395)
& aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ! [W0] :
( aElementOf0(W0,cS1395)
<=> aInteger0(W0) )
& aSet0(cS1395)
& ! [W0] :
( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(W0,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ! [W1] :
( sdtasdt0(xq,W1) != sdtpldt0(W0,smndt0(xa))
| ~ aInteger0(W1) ) )
| ~ aInteger0(W0) )
& sP3_prd(W0) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ),
inference(formula_renaming,[status(thm)],[f219,f262]) ).
fof(f264,plain,
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
| ! [W0] :
( aElementOf0(W0,cS1395)
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ? [W0] :
( ( aInteger0(W0)
| aElementOf0(W0,cS1395) )
& ( ~ aInteger0(W0)
| ~ aElementOf0(W0,cS1395) ) )
| ~ aSet0(cS1395)
| ? [W0] :
( ( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
| aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
| ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) ) )
& aInteger0(W0) )
| ~ sP3_prd(W0) )
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sP2_prd )
& ( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& ? [W0] :
( ~ aElementOf0(W0,cS1395)
& aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ! [W0] :
( ( ~ aInteger0(W0)
| aElementOf0(W0,cS1395) )
& ( aInteger0(W0)
| ~ aElementOf0(W0,cS1395) ) )
& aSet0(cS1395)
& ! [W0] :
( ( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(W0,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ! [W1] :
( sdtasdt0(xq,W1) != sdtpldt0(W0,smndt0(xa))
| ~ aInteger0(W1) ) )
| ~ aInteger0(W0) )
& sP3_prd(W0) )
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ~ sP2_prd ) ),
inference(NNF_transformation,[status(thm)],[f263]) ).
fof(f265,plain,
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
| ! [W0] :
( aElementOf0(W0,cS1395)
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ? [W0] :
( ( aInteger0(W0)
| aElementOf0(W0,cS1395) )
& ( ~ aInteger0(W0)
| ~ aElementOf0(W0,cS1395) ) )
| ~ aSet0(cS1395)
| ? [W0] :
( ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
| aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
| ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) ) )
& aInteger0(W0) )
| ? [W0] : ~ sP3_prd(W0)
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sP2_prd )
& ( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& ? [W0] :
( ~ aElementOf0(W0,cS1395)
& aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
& ! [W0] :
( ~ aInteger0(W0)
| aElementOf0(W0,cS1395) )
& ! [W0] :
( aInteger0(W0)
| ~ aElementOf0(W0,cS1395) )
& aSet0(cS1395)
& ! [W0] :
( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(W0,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ! [W1] :
( sdtasdt0(xq,W1) != sdtpldt0(W0,smndt0(xa))
| ~ aInteger0(W1) ) )
| ~ aInteger0(W0) )
& ! [W0] : sP3_prd(W0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ~ sP2_prd ) ),
inference(miniscoping,[status(thm)],[f264]) ).
fof(f266,plain,
( ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
| ! [W0] :
( aElementOf0(W0,cS1395)
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ( ( aInteger0(sK23_skl)
| aElementOf0(sK23_skl,cS1395) )
& ( ~ aInteger0(sK23_skl)
| ~ aElementOf0(sK23_skl,cS1395) ) )
| ~ aSet0(cS1395)
| ( ~ aElementOf0(sK21_skl,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ( sdteqdtlpzmzozddtrp0(sK21_skl,xa,xq)
| aDivisorOf0(xq,sdtpldt0(sK21_skl,smndt0(xa)))
| ( sdtasdt0(xq,sK22_skl) = sdtpldt0(sK21_skl,smndt0(xa))
& aInteger0(sK22_skl) ) )
& aInteger0(sK21_skl) )
| ~ sP3_prd(sK20_skl)
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sP2_prd )
& ( ( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
& ~ aElementOf0(sK19_skl,cS1395)
& aElementOf0(sK19_skl,szAzrzSzezqlpdtcmdtrp0(xa,xq))
& ! [W0] :
( ~ aInteger0(W0)
| aElementOf0(W0,cS1395) )
& ! [W0] :
( aInteger0(W0)
| ~ aElementOf0(W0,cS1395) )
& aSet0(cS1395)
& ! [W0] :
( aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ( ~ sdteqdtlpzmzozddtrp0(W0,xa,xq)
& ~ aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ! [W1] :
( sdtasdt0(xq,W1) != sdtpldt0(W0,smndt0(xa))
| ~ aInteger0(W1) ) )
| ~ aInteger0(W0) )
& ! [W0] : sP3_prd(W0)
& aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| ~ sP2_prd ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK19_skl,sK20_skl,sK21_skl,sK22_skl,sK23_skl]),skolemize(W0,sK19_skl),skolemize(W0,sK20_skl),skolemize(W0,sK21_skl),skolemize(W1,sK22_skl),skolemize(W0,sK23_skl)],[f265]) ).
fof(f268,plain,
! [X0] :
( sP3_prd(X0)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f271,plain,
! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f272,plain,
( aSet0(cS1395)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f273,plain,
! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,cS1395)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f274,plain,
! [X0] :
( ~ aInteger0(X0)
| aElementOf0(X0,cS1395)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f277,plain,
( ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
| ~ sP2_prd ),
inference(cnf_transformation,[status(thm)],[f266]) ).
fof(f286,plain,
! [W0] :
( ( ( ( ~ sdteqdtlpzmzozddtrp0(W0,xa,xq)
| ~ aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
| ! [W1] :
( sdtasdt0(xq,W1) != sdtpldt0(W0,smndt0(xa))
| ~ aInteger0(W1) )
| ~ aInteger0(W0) )
& aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| sP3_prd(W0) )
& ( ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) )
& aInteger0(W0) )
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sP3_prd(W0) ) ),
inference(NNF_transformation,[status(thm)],[f262]) ).
fof(f287,plain,
( ! [W0] :
( ( ( ~ sdteqdtlpzmzozddtrp0(W0,xa,xq)
| ~ aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
| ! [W1] :
( sdtasdt0(xq,W1) != sdtpldt0(W0,smndt0(xa))
| ~ aInteger0(W1) )
| ~ aInteger0(W0) )
& aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| sP3_prd(W0) )
& ! [W0] :
( ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& ? [W1] :
( sdtasdt0(xq,W1) = sdtpldt0(W0,smndt0(xa))
& aInteger0(W1) )
& aInteger0(W0) )
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sP3_prd(W0) ) ),
inference(miniscoping,[status(thm)],[f286]) ).
fof(f288,plain,
( ! [W0] :
( ( ( ~ sdteqdtlpzmzozddtrp0(W0,xa,xq)
| ~ aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
| ! [W1] :
( sdtasdt0(xq,W1) != sdtpldt0(W0,smndt0(xa))
| ~ aInteger0(W1) )
| ~ aInteger0(W0) )
& aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) )
| sP3_prd(W0) )
& ! [W0] :
( ( sdteqdtlpzmzozddtrp0(W0,xa,xq)
& aDivisorOf0(xq,sdtpldt0(W0,smndt0(xa)))
& sdtasdt0(xq,sK24_skl(W0)) = sdtpldt0(W0,smndt0(xa))
& aInteger0(sK24_skl(W0))
& aInteger0(W0) )
| ~ aElementOf0(W0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sP3_prd(W0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK24_skl]),skolemize(W1,sK24_skl(W0))],[f287]) ).
fof(f289,plain,
! [X0] :
( aInteger0(X0)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f290,plain,
! [X0] :
( aInteger0(sK24_skl(X0))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f294,plain,
! [X0] :
( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f295,plain,
! [X0,X1] :
( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| sdtasdt0(xq,X1) != sdtpldt0(X0,smndt0(xa))
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sP3_prd(X0) ),
inference(cnf_transformation,[status(thm)],[f288]) ).
fof(f296,definition,
( sQ0_spl
<=> sP2_prd ),
introduced(definition,[new_symbols(definition,[sQ0_spl])],[split_symbol_definition]) ).
fof(f299,definition,
! [X0] :
( sQ1_spl
<=> ( aInteger0(X0)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ),
introduced(definition,[new_symbols(definition,[sQ1_spl])],[split_symbol_definition]) ).
fof(f300,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(X0)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(component_clause,[status(thm)],[f299]) ).
fof(f302,plain,
( sQ1_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f224,f296,f299]) ).
fof(f315,definition,
! [X0] :
( sQ5_spl
<=> ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ),
introduced(definition,[new_symbols(definition,[sQ5_spl])],[split_symbol_definition]) ).
fof(f316,plain,
! [X0] :
( ~ sQ5_spl
| sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(component_clause,[status(thm)],[f315]) ).
fof(f318,plain,
( sQ5_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f228,f296,f315]) ).
fof(f327,definition,
! [X0] :
( sQ8_spl
<=> ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ8_spl])],[split_symbol_definition]) ).
fof(f328,plain,
! [X0] :
( ~ sQ8_spl
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f327]) ).
fof(f330,plain,
( sQ8_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f231,f296,f327]) ).
fof(f335,definition,
! [X0] :
( sQ10_spl
<=> ( aInteger0(X0)
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ10_spl])],[split_symbol_definition]) ).
fof(f336,plain,
! [X0] :
( ~ sQ10_spl
| aInteger0(X0)
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(component_clause,[status(thm)],[f335]) ).
fof(f338,plain,
( sQ10_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f233,f296,f335]) ).
fof(f339,definition,
! [X0] :
( sQ11_spl
<=> ( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ11_spl])],[split_symbol_definition]) ).
fof(f340,plain,
! [X0] :
( ~ sQ11_spl
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(component_clause,[status(thm)],[f339]) ).
fof(f342,plain,
( sQ11_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f234,f296,f339]) ).
fof(f343,definition,
! [X0] :
( sQ12_spl
<=> ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X0)
| aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ12_spl])],[split_symbol_definition]) ).
fof(f344,plain,
! [X0] :
( ~ sQ12_spl
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(X0)
| aElementOf0(X0,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(component_clause,[status(thm)],[f343]) ).
fof(f346,plain,
( sQ12_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f235,f296,f343]) ).
fof(f347,definition,
( sQ13_spl
<=> aElementOf0(sK16_skl,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
introduced(definition,[new_symbols(definition,[sQ13_spl])],[split_symbol_definition]) ).
fof(f348,plain,
( ~ sQ13_spl
| aElementOf0(sK16_skl,stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(component_clause,[status(thm)],[f347]) ).
fof(f350,plain,
( sQ13_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f236,f296,f347]) ).
fof(f355,definition,
! [X0,X1] :
( sQ15_spl
<=> ( aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sK16_skl,X0))
| X0 = sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ15_spl])],[split_symbol_definition]) ).
fof(f356,plain,
! [X0,X1] :
( ~ sQ15_spl
| aInteger0(X1)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sK16_skl,X0))
| X0 = sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f355]) ).
fof(f358,plain,
( sQ15_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f238,f296,f355]) ).
fof(f371,definition,
! [X0,X1] :
( sQ19_spl
<=> ( sdteqdtlpzmzozddtrp0(X1,sK16_skl,X0)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sK16_skl,X0))
| X0 = sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ19_spl])],[split_symbol_definition]) ).
fof(f372,plain,
! [X0,X1] :
( ~ sQ19_spl
| sdteqdtlpzmzozddtrp0(X1,sK16_skl,X0)
| ~ aElementOf0(X1,szAzrzSzezqlpdtcmdtrp0(sK16_skl,X0))
| X0 = sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f371]) ).
fof(f374,plain,
( sQ19_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f242,f296,f371]) ).
fof(f387,definition,
! [X0] :
( sQ23_spl
<=> ( aElementOf0(sK18_skl(X0),szAzrzSzezqlpdtcmdtrp0(sK16_skl,X0))
| X0 = sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ23_spl])],[split_symbol_definition]) ).
fof(f388,plain,
! [X0] :
( ~ sQ23_spl
| aElementOf0(sK18_skl(X0),szAzrzSzezqlpdtcmdtrp0(sK16_skl,X0))
| X0 = sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f387]) ).
fof(f390,plain,
( sQ23_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f246,f296,f387]) ).
fof(f391,definition,
! [X0] :
( sQ24_spl
<=> ( ~ aElementOf0(sK18_skl(X0),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| X0 = sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ24_spl])],[split_symbol_definition]) ).
fof(f392,plain,
! [X0] :
( ~ sQ24_spl
| ~ aElementOf0(sK18_skl(X0),stldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| X0 = sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f391]) ).
fof(f394,plain,
( sQ24_spl
| sQ0_spl ),
inference(split_clause,[status(thm)],[f247,f296,f391]) ).
fof(f407,definition,
( sQ28_spl
<=> aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
introduced(definition,[new_symbols(definition,[sQ28_spl])],[split_symbol_definition]) ).
fof(f409,plain,
( sQ28_spl
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(component_clause,[status(thm)],[f407]) ).
fof(f411,definition,
! [X0] :
( sQ29_spl
<=> sP3_prd(X0) ),
introduced(definition,[new_symbols(definition,[sQ29_spl])],[split_symbol_definition]) ).
fof(f412,plain,
! [X0] :
( ~ sQ29_spl
| sP3_prd(X0) ),
inference(component_clause,[status(thm)],[f411]) ).
fof(f414,plain,
( sQ29_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f268,f296,f411]) ).
fof(f417,plain,
( sQ8_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f271,f296,f327]) ).
fof(f418,definition,
( sQ30_spl
<=> aSet0(cS1395) ),
introduced(definition,[new_symbols(definition,[sQ30_spl])],[split_symbol_definition]) ).
fof(f421,plain,
( sQ30_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f272,f296,f418]) ).
fof(f422,definition,
! [X0] :
( sQ31_spl
<=> ( aInteger0(X0)
| ~ aElementOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ31_spl])],[split_symbol_definition]) ).
fof(f423,plain,
! [X0] :
( ~ sQ31_spl
| aInteger0(X0)
| ~ aElementOf0(X0,cS1395) ),
inference(component_clause,[status(thm)],[f422]) ).
fof(f425,plain,
( sQ31_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f273,f296,f422]) ).
fof(f426,definition,
! [X0] :
( sQ32_spl
<=> ( ~ aInteger0(X0)
| aElementOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ32_spl])],[split_symbol_definition]) ).
fof(f427,plain,
! [X0] :
( ~ sQ32_spl
| ~ aInteger0(X0)
| aElementOf0(X0,cS1395) ),
inference(component_clause,[status(thm)],[f426]) ).
fof(f429,plain,
( sQ32_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f274,f296,f426]) ).
fof(f438,definition,
( sQ35_spl
<=> aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ),
introduced(definition,[new_symbols(definition,[sQ35_spl])],[split_symbol_definition]) ).
fof(f441,plain,
( ~ sQ35_spl
| ~ sQ0_spl ),
inference(split_clause,[status(thm)],[f277,f296,f438]) ).
fof(f445,definition,
( sQ37_spl
<=> aInteger0(sK21_skl) ),
introduced(definition,[new_symbols(definition,[sQ37_spl])],[split_symbol_definition]) ).
fof(f454,definition,
! [X0] :
( sQ40_spl
<=> ( aElementOf0(X0,cS1395)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ),
introduced(definition,[new_symbols(definition,[sQ40_spl])],[split_symbol_definition]) ).
fof(f455,plain,
! [X0] :
( ~ sQ40_spl
| aElementOf0(X0,cS1395)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(component_clause,[status(thm)],[f454]) ).
fof(f462,definition,
( sQ42_spl
<=> aDivisorOf0(xq,sdtpldt0(sK21_skl,smndt0(xa))) ),
introduced(definition,[new_symbols(definition,[sQ42_spl])],[split_symbol_definition]) ).
fof(f463,plain,
( ~ sQ42_spl
| aDivisorOf0(xq,sdtpldt0(sK21_skl,smndt0(xa))) ),
inference(component_clause,[status(thm)],[f462]) ).
fof(f465,definition,
( sQ43_spl
<=> sdteqdtlpzmzozddtrp0(sK21_skl,xa,xq) ),
introduced(definition,[new_symbols(definition,[sQ43_spl])],[split_symbol_definition]) ).
fof(f466,plain,
( ~ sQ43_spl
| sdteqdtlpzmzozddtrp0(sK21_skl,xa,xq) ),
inference(component_clause,[status(thm)],[f465]) ).
fof(f475,definition,
( sQ45_spl
<=> aElementOf0(sK21_skl,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
introduced(definition,[new_symbols(definition,[sQ45_spl])],[split_symbol_definition]) ).
fof(f477,plain,
( sQ45_spl
| ~ aElementOf0(sK21_skl,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(component_clause,[status(thm)],[f475]) ).
fof(f480,plain,
! [X0] :
( ~ aDivisorOf0(sz00,X0)
| ~ aInteger0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f88]) ).
fof(f481,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| X0 = sz00
| ~ aInteger0(X0)
| aDivisorOf0(X0,sdtasdt0(X0,X1))
| ~ aInteger0(sdtasdt0(X0,X1)) ),
inference(destructive_equality_resolution,[status(thm)],[f91]) ).
fof(f483,plain,
! [X0] :
( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,smndt0(sz10))
| ~ aInteger0(smndt0(sz10)) ),
inference(destructive_equality_resolution,[status(thm)],[f111]) ).
fof(f485,plain,
! [X0,X1,X2] :
( aInteger0(X2)
| ~ aElementOf0(X2,sdtbsmnsldt0(X0,X1))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(destructive_equality_resolution,[status(thm)],[f135]) ).
fof(f487,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)],[f137]) ).
fof(f488,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)],[f138]) ).
fof(f494,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)],[f162]) ).
fof(f497,plain,
! [X0] :
( aSet0(stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ),
inference(destructive_equality_resolution,[status(thm)],[f173]) ).
fof(f500,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| ~ aInteger0(X1)
| aElementOf0(X1,stldt0(X0))
| ~ aSubsetOf0(X0,cS1395) ),
inference(destructive_equality_resolution,[status(thm)],[f176]) ).
fof(f501,plain,
! [X0,X1] :
( aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f184]) ).
fof(f502,plain,
! [X0,X1,X2] :
( aInteger0(X2)
| ~ aElementOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(destructive_equality_resolution,[status(thm)],[f185]) ).
fof(f503,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)],[f186]) ).
fof(f504,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)],[f187]) ).
fof(f507,plain,
! [X0] :
( ~ sQ1_spl
| sP3_prd(X0)
| aInteger0(X0) ),
inference(resolution,[status(thm)],[f300,f294]) ).
fof(f512,definition,
( sQ46_spl
<=> aInteger0(sz00) ),
introduced(definition,[new_symbols(definition,[sQ46_spl])],[split_symbol_definition]) ).
fof(f514,plain,
( sQ46_spl
| ~ aInteger0(sz00) ),
inference(component_clause,[status(thm)],[f512]) ).
fof(f515,definition,
( sQ47_spl
<=> aInteger0(sz10) ),
introduced(definition,[new_symbols(definition,[sQ47_spl])],[split_symbol_definition]) ).
fof(f517,plain,
( sQ47_spl
| ~ aInteger0(sz10) ),
inference(component_clause,[status(thm)],[f515]) ).
fof(f518,definition,
( sQ48_spl
<=> sz00 = sz00 ),
introduced(definition,[new_symbols(definition,[sQ48_spl])],[split_symbol_definition]) ).
fof(f525,definition,
! [X0] :
( sQ50_spl
<=> ( ~ aInteger0(X0)
| X0 = sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ50_spl])],[split_symbol_definition]) ).
fof(f526,plain,
! [X0] :
( ~ sQ50_spl
| ~ aInteger0(X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f525]) ).
fof(f542,definition,
( sQ52_spl
<=> aInteger0(xq) ),
introduced(definition,[new_symbols(definition,[sQ52_spl])],[split_symbol_definition]) ).
fof(f544,plain,
( sQ52_spl
| ~ aInteger0(xq) ),
inference(component_clause,[status(thm)],[f542]) ).
fof(f546,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| X0 = sz00
| ~ aInteger0(X0)
| aDivisorOf0(X0,sdtasdt0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f481,f54]) ).
fof(f547,plain,
! [X0] :
( ~ aInteger0(sdtasdt0(sz00,X0))
| ~ aInteger0(X0)
| sz00 = sz00
| ~ aInteger0(sz00) ),
inference(resolution,[status(thm)],[f546,f480]) ).
fof(f549,definition,
! [X0] :
( sQ53_spl
<=> ( ~ aInteger0(sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ53_spl])],[split_symbol_definition]) ).
fof(f550,plain,
! [X0] :
( ~ sQ53_spl
| ~ aInteger0(sdtasdt0(sz00,X0))
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f549]) ).
fof(f552,plain,
( sQ53_spl
| sQ48_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f547,f512,f518,f549]) ).
fof(f573,plain,
! [X0] :
( sK0_skl(X0,sz00) = sz00
| X0 = sz00
| ~ aInteger0(sK0_skl(X0,sz00))
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00)
| ~ aInteger0(sz00) ),
inference(resolution,[status(thm)],[f90,f82]) ).
fof(f574,definition,
! [X0] :
( sQ57_spl
<=> ( sK0_skl(X0,sz00) = sz00
| X0 = sz00
| ~ aInteger0(sK0_skl(X0,sz00))
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ) ),
introduced(definition,[new_symbols(definition,[sQ57_spl])],[split_symbol_definition]) ).
fof(f575,plain,
! [X0] :
( ~ sQ57_spl
| sK0_skl(X0,sz00) = sz00
| X0 = sz00
| ~ aInteger0(sK0_skl(X0,sz00))
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(component_clause,[status(thm)],[f574]) ).
fof(f577,plain,
( sQ57_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f573,f512,f574]) ).
fof(f578,plain,
( sQ46_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f514,f47]) ).
fof(f579,plain,
sQ46_spl,
inference(contradiction_clause,[status(thm)],[f578]) ).
fof(f585,definition,
( sQ59_spl
<=> aInteger0(xa) ),
introduced(definition,[new_symbols(definition,[sQ59_spl])],[split_symbol_definition]) ).
fof(f587,plain,
( sQ59_spl
| ~ aInteger0(xa) ),
inference(component_clause,[status(thm)],[f585]) ).
fof(f588,definition,
( sQ60_spl
<=> xq = sz00 ),
introduced(definition,[new_symbols(definition,[sQ60_spl])],[split_symbol_definition]) ).
fof(f589,plain,
( ~ sQ60_spl
| xq = sz00 ),
inference(component_clause,[status(thm)],[f588]) ).
fof(f592,plain,
( ~ sQ60_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f589,f217]) ).
fof(f593,plain,
~ sQ60_spl,
inference(contradiction_clause,[status(thm)],[f592]) ).
fof(f594,plain,
( sQ59_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f587,f215]) ).
fof(f595,plain,
sQ59_spl,
inference(contradiction_clause,[status(thm)],[f594]) ).
fof(f609,plain,
( ~ sQ43_spl
| sdteqdtlpzmzozddtrp0(xa,sK21_skl,xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(sK21_skl) ),
inference(resolution,[status(thm)],[f466,f99]) ).
fof(f610,definition,
( sQ63_spl
<=> sdteqdtlpzmzozddtrp0(xa,sK21_skl,xq) ),
introduced(definition,[new_symbols(definition,[sQ63_spl])],[split_symbol_definition]) ).
fof(f611,plain,
( ~ sQ63_spl
| sdteqdtlpzmzozddtrp0(xa,sK21_skl,xq) ),
inference(component_clause,[status(thm)],[f610]) ).
fof(f613,plain,
( ~ sQ43_spl
| sQ63_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f609,f445,f585,f542,f588,f610,f465]) ).
fof(f622,plain,
! [X0] :
( ~ sQ63_spl
| sdteqdtlpzmzozddtrp0(X0,sK21_skl,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(sK21_skl)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f611,f101]) ).
fof(f623,plain,
( ~ sQ63_spl
| sdteqdtlpzmzozddtrp0(sK21_skl,xa,xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(sK21_skl)
| ~ aInteger0(xa) ),
inference(resolution,[status(thm)],[f611,f99]) ).
fof(f624,definition,
! [X0] :
( sQ65_spl
<=> ( sdteqdtlpzmzozddtrp0(X0,sK21_skl,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ65_spl])],[split_symbol_definition]) ).
fof(f625,plain,
! [X0] :
( ~ sQ65_spl
| sdteqdtlpzmzozddtrp0(X0,sK21_skl,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f624]) ).
fof(f627,plain,
( ~ sQ63_spl
| ~ sQ37_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ65_spl ),
inference(split_clause,[status(thm)],[f622,f624,f585,f542,f588,f445,f610]) ).
fof(f628,plain,
( ~ sQ63_spl
| sQ43_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ37_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f623,f585,f445,f542,f588,f465,f610]) ).
fof(f631,plain,
! [X0] :
( ~ sQ50_spl
| X0 = sz00
| ~ aInteger0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f526]) ).
fof(f632,plain,
( sQ47_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f517,f48]) ).
fof(f633,plain,
sQ47_spl,
inference(contradiction_clause,[status(thm)],[f632]) ).
fof(f634,plain,
( sQ52_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f544,f216]) ).
fof(f635,plain,
sQ52_spl,
inference(contradiction_clause,[status(thm)],[f634]) ).
fof(f651,definition,
( sQ66_spl
<=> aInteger0(smndt0(sz00)) ),
introduced(definition,[new_symbols(definition,[sQ66_spl])],[split_symbol_definition]) ).
fof(f653,plain,
( sQ66_spl
| ~ aInteger0(smndt0(sz00)) ),
inference(component_clause,[status(thm)],[f651]) ).
fof(f665,definition,
( sQ70_spl
<=> aInteger0(smndt0(sz10)) ),
introduced(definition,[new_symbols(definition,[sQ70_spl])],[split_symbol_definition]) ).
fof(f667,plain,
( sQ70_spl
| ~ aInteger0(smndt0(sz10)) ),
inference(component_clause,[status(thm)],[f665]) ).
fof(f668,definition,
! [X0] :
( sQ71_spl
<=> ( ~ isPrime0(X0)
| ~ aDivisorOf0(X0,smndt0(sz10)) ) ),
introduced(definition,[new_symbols(definition,[sQ71_spl])],[split_symbol_definition]) ).
fof(f671,plain,
( sQ71_spl
| ~ sQ70_spl ),
inference(split_clause,[status(thm)],[f483,f665,f668]) ).
fof(f673,plain,
! [X0,X1] :
( ~ sQ1_spl
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| sdtasdt0(xq,X1) != sdtpldt0(X0,smndt0(xa))
| ~ aInteger0(X1)
| sP3_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f295,f507]) ).
fof(f674,plain,
! [X0] :
( ~ sQ1_spl
| ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| ~ aInteger0(sdtpldt0(X0,smndt0(xa)))
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| ~ aInteger0(sK0_skl(xq,sdtpldt0(X0,smndt0(xa))))
| sP3_prd(X0) ),
inference(resolution,[status(thm)],[f673,f90]) ).
fof(f675,plain,
! [X0] :
( ~ sQ1_spl
| ~ aInteger0(sdtpldt0(X0,smndt0(xa)))
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| ~ aInteger0(sK0_skl(xq,sdtpldt0(X0,smndt0(xa))))
| sP3_prd(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f674]) ).
fof(f676,plain,
! [X0] :
( ~ sQ1_spl
| ~ aInteger0(sdtpldt0(X0,smndt0(xa)))
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| sP3_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f675,f89]) ).
fof(f683,plain,
( ~ sQ50_spl
| xq = sz00 ),
inference(resolution,[status(thm)],[f631,f216]) ).
fof(f686,plain,
( ~ sQ50_spl
| sQ60_spl ),
inference(split_clause,[status(thm)],[f683,f588,f525]) ).
fof(f696,plain,
( sQ66_spl
| ~ aInteger0(sz00) ),
inference(resolution,[status(thm)],[f653,f50]) ).
fof(f697,plain,
( sQ66_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f696,f512,f651]) ).
fof(f698,plain,
( sQ70_spl
| ~ aInteger0(sz10) ),
inference(resolution,[status(thm)],[f667,f50]) ).
fof(f699,plain,
( sQ70_spl
| ~ sQ47_spl ),
inference(split_clause,[status(thm)],[f698,f515,f665]) ).
fof(f709,plain,
! [X0] :
( ~ sQ31_spl
| aInteger0(sK2_skl(cS1395,X0))
| ~ aSet0(cS1395)
| aSubsetOf0(cS1395,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f126,f423]) ).
fof(f712,definition,
! [X0] :
( sQ75_spl
<=> ( aInteger0(sK2_skl(cS1395,X0))
| aSubsetOf0(cS1395,X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ75_spl])],[split_symbol_definition]) ).
fof(f713,plain,
! [X0] :
( ~ sQ75_spl
| aInteger0(sK2_skl(cS1395,X0))
| aSubsetOf0(cS1395,X0)
| ~ aSet0(X0) ),
inference(component_clause,[status(thm)],[f712]) ).
fof(f715,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| sQ75_spl ),
inference(split_clause,[status(thm)],[f709,f712,f418,f422]) ).
fof(f716,plain,
! [X0] :
( ~ aSet0(X0)
| aSubsetOf0(X0,X0)
| ~ aSet0(X0)
| ~ aSet0(X0)
| aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f127,f126]) ).
fof(f717,plain,
! [X0] :
( ~ sQ32_spl
| ~ aInteger0(sK2_skl(X0,cS1395))
| ~ aSet0(X0)
| aSubsetOf0(X0,cS1395)
| ~ aSet0(cS1395) ),
inference(resolution,[status(thm)],[f127,f427]) ).
fof(f718,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f716]) ).
fof(f719,definition,
! [X0] :
( sQ76_spl
<=> ( ~ aInteger0(sK2_skl(X0,cS1395))
| ~ aSet0(X0)
| aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ76_spl])],[split_symbol_definition]) ).
fof(f720,plain,
! [X0] :
( ~ sQ76_spl
| ~ aInteger0(sK2_skl(X0,cS1395))
| ~ aSet0(X0)
| aSubsetOf0(X0,cS1395) ),
inference(component_clause,[status(thm)],[f719]) ).
fof(f722,plain,
( ~ sQ32_spl
| sQ76_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f717,f418,f719,f426]) ).
fof(f741,plain,
! [X0] :
( ~ sQ53_spl
| ~ aInteger0(X0)
| ~ aInteger0(sz00)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f550,f54]) ).
fof(f742,definition,
! [X0] :
( sQ79_spl
<=> ( ~ aInteger0(X0)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ79_spl])],[split_symbol_definition]) ).
fof(f743,plain,
! [X0] :
( ~ sQ79_spl
| ~ aInteger0(X0)
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f742]) ).
fof(f745,plain,
( ~ sQ53_spl
| ~ sQ46_spl
| sQ79_spl ),
inference(split_clause,[status(thm)],[f741,f742,f512,f549]) ).
fof(f746,plain,
! [X0] :
( ~ sQ79_spl
| ~ aInteger0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f743]) ).
fof(f757,plain,
( ~ sQ79_spl
| $false ),
inference(backward_subsumption_resolution,[status(thm)],[f48,f746]) ).
fof(f766,plain,
~ sQ79_spl,
inference(contradiction_clause,[status(thm)],[f757]) ).
fof(f772,plain,
( sQ28_spl
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(resolution,[status(thm)],[f501,f409]) ).
fof(f773,plain,
( sQ28_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f772,f585,f542,f588,f407]) ).
fof(f778,plain,
( aSet0(stldt0(cS1395))
| ~ aSet0(cS1395) ),
inference(resolution,[status(thm)],[f718,f497]) ).
fof(f789,definition,
( sQ82_spl
<=> aSet0(stldt0(cS1395)) ),
introduced(definition,[new_symbols(definition,[sQ82_spl])],[split_symbol_definition]) ).
fof(f792,plain,
( sQ82_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f778,f418,f789]) ).
fof(f795,plain,
! [X0,X1,X2] :
( aInteger0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395)
| ~ aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f487,f485]) ).
fof(f798,definition,
! [X0,X2] :
( sQ83_spl
<=> ( aInteger0(X2)
| ~ aSubsetOf0(X0,cS1395)
| ~ aElementOf0(X2,X0)
| ~ aInteger0(X2)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ83_spl])],[split_symbol_definition]) ).
fof(f801,definition,
! [X1] :
( sQ84_spl
<=> ( ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X1,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ84_spl])],[split_symbol_definition]) ).
fof(f802,plain,
! [X0] :
( ~ sQ84_spl
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(component_clause,[status(thm)],[f801]) ).
fof(f804,plain,
( sQ84_spl
| sQ83_spl ),
inference(split_clause,[status(thm)],[f795,f798,f801]) ).
fof(f805,plain,
! [X0] :
( ~ sQ84_spl
| ~ aSubsetOf0(X0,cS1395) ),
inference(duplicate_literals_removal,[status(thm)],[f802]) ).
fof(f818,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),xa,xq)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ),
inference(resolution,[status(thm)],[f328,f139]) ).
fof(f819,plain,
( sQ45_spl
| ~ sQ8_spl
| ~ sdteqdtlpzmzozddtrp0(sK21_skl,xa,xq)
| ~ aInteger0(sK21_skl) ),
inference(resolution,[status(thm)],[f328,f477]) ).
fof(f820,plain,
! [X0] :
( ~ sQ8_spl
| ~ aSet0(X0)
| aSubsetOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sdteqdtlpzmzozddtrp0(sK2_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),xa,xq)
| ~ aInteger0(sK2_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(resolution,[status(thm)],[f328,f127]) ).
fof(f821,plain,
! [X0] :
( ~ sQ8_spl
| aInteger0(X0)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f328,f502]) ).
fof(f823,definition,
! [X0,X1] :
( sQ85_spl
<=> ( ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),xa,xq)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ85_spl])],[split_symbol_definition]) ).
fof(f824,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),xa,xq)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ),
inference(component_clause,[status(thm)],[f823]) ).
fof(f826,plain,
( ~ sQ8_spl
| ~ sQ28_spl
| sQ85_spl ),
inference(split_clause,[status(thm)],[f818,f823,f407,f327]) ).
fof(f827,plain,
( sQ45_spl
| ~ sQ8_spl
| ~ sQ43_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f819,f445,f465,f327,f475]) ).
fof(f828,definition,
! [X0] :
( sQ86_spl
<=> ( ~ aSet0(X0)
| aSubsetOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ sdteqdtlpzmzozddtrp0(sK2_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),xa,xq)
| ~ aInteger0(sK2_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ86_spl])],[split_symbol_definition]) ).
fof(f831,plain,
( ~ sQ8_spl
| ~ sQ28_spl
| sQ86_spl ),
inference(split_clause,[status(thm)],[f820,f828,f407,f327]) ).
fof(f832,definition,
! [X0] :
( sQ87_spl
<=> ( aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ87_spl])],[split_symbol_definition]) ).
fof(f835,plain,
( ~ sQ8_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f821,f832,f585,f542,f588,f327]) ).
fof(f836,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),xa,xq)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ),
inference(duplicate_literals_removal,[status(thm)],[f824]) ).
fof(f837,plain,
! [X0,X1,X2] :
( ~ aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),X2)
| ~ aSet0(X2)
| sdteqdtlpzmzozddtrp0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(X0,X1),X2),X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f503,f126]) ).
fof(f838,plain,
! [X0] :
( ~ sQ8_spl
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| sdteqdtlpzmzozddtrp0(X0,xa,xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(resolution,[status(thm)],[f503,f328]) ).
fof(f839,plain,
! [X0,X1,X2] :
( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),X2)
| ~ aSet0(X2)
| sdteqdtlpzmzozddtrp0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(X0,X1),X2),X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f837,f501]) ).
fof(f840,definition,
! [X0] :
( sQ88_spl
<=> ( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| sdteqdtlpzmzozddtrp0(X0,xa,xq) ) ),
introduced(definition,[new_symbols(definition,[sQ88_spl])],[split_symbol_definition]) ).
fof(f843,plain,
( ~ sQ8_spl
| sQ88_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f838,f585,f542,f588,f840,f327]) ).
fof(f845,plain,
! [X0,X1,X2] :
( ~ aSet0(X2)
| aSubsetOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sdteqdtlpzmzozddtrp0(sK2_skl(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)),X0,X1)
| ~ aInteger0(sK2_skl(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f504,f127]) ).
fof(f851,plain,
! [X0,X1,X2] :
( ~ aSet0(X2)
| aSubsetOf0(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ sdteqdtlpzmzozddtrp0(sK2_skl(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)),X0,X1)
| ~ aInteger0(sK2_skl(X2,szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f845,f501]) ).
fof(f853,plain,
( ~ sQ84_spl
| ~ aSet0(cS1395) ),
inference(resolution,[status(thm)],[f805,f718]) ).
fof(f854,plain,
( ~ sQ84_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f853,f418,f801]) ).
fof(f855,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xa,xq)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f140,f328]) ).
fof(f856,plain,
! [X0,X1,X2,X3] :
( ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X2,X3)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0))
| X3 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X1)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
| szAzrzSzezqlpdtcmdtrp0(X2,X3) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f140,f504]) ).
fof(f857,definition,
! [X0,X1] :
( sQ89_spl
<=> ( ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xa,xq)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ89_spl])],[split_symbol_definition]) ).
fof(f858,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xa,xq)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(component_clause,[status(thm)],[f857]) ).
fof(f860,plain,
( ~ sQ8_spl
| ~ sQ28_spl
| sQ89_spl ),
inference(split_clause,[status(thm)],[f855,f857,f407,f327]) ).
fof(f861,plain,
! [X0,X1,X2,X3] :
( ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X2,X3)
| X3 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X1)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
| szAzrzSzezqlpdtcmdtrp0(X2,X3) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(duplicate_literals_removal,[status(thm)],[f856]) ).
fof(f862,plain,
! [X0,X1,X2,X3] :
( ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X2,X3)
| X3 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X1)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0))
| szAzrzSzezqlpdtcmdtrp0(X2,X3) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(forward_subsumption_resolution,[status(thm)],[f861,f501]) ).
fof(f863,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xa,xq)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(duplicate_literals_removal,[status(thm)],[f858]) ).
fof(f866,plain,
! [X0,X1,X2,X3] :
( aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0))
| X3 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
| szAzrzSzezqlpdtcmdtrp0(X2,X3) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f141,f502]) ).
fof(f868,plain,
! [X0,X1,X2,X3] :
( X3 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
| szAzrzSzezqlpdtcmdtrp0(X2,X3) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(duplicate_literals_removal,[status(thm)],[f866]) ).
fof(f869,plain,
! [X0,X1,X2,X3] :
( X3 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0))
| szAzrzSzezqlpdtcmdtrp0(X2,X3) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(forward_subsumption_resolution,[status(thm)],[f868,f501]) ).
fof(f871,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X2,X3)
| X3 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X1)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X0)
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
| szAzrzSzezqlpdtcmdtrp0(X2,X3) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f142,f503]) ).
fof(f873,plain,
! [X0,X1,X2,X3] :
( sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X2,X3)
| X3 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X1)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(X2,X3) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(forward_subsumption_resolution,[status(thm)],[f871,f501]) ).
fof(f875,plain,
! [X0,X1] :
( ~ sQ31_spl
| aElementOf0(sK3_skl(cS1395,X0,X1),X0)
| aElementOf0(sK3_skl(cS1395,X0,X1),X1)
| ~ aSet0(cS1395)
| cS1395 = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK3_skl(cS1395,X0,X1)) ),
inference(resolution,[status(thm)],[f423,f142]) ).
fof(f876,plain,
! [X0,X1] :
( ~ sQ31_spl
| aInteger0(sK3_skl(cS1395,X0,X1))
| ~ aSet0(cS1395)
| cS1395 = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK3_skl(cS1395,X0,X1)) ),
inference(resolution,[status(thm)],[f423,f141]) ).
fof(f878,definition,
! [X0,X1] :
( sQ90_spl
<=> ( aElementOf0(sK3_skl(cS1395,X0,X1),X0)
| aElementOf0(sK3_skl(cS1395,X0,X1),X1)
| cS1395 = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK3_skl(cS1395,X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ90_spl])],[split_symbol_definition]) ).
fof(f879,plain,
! [X0,X1] :
( ~ sQ90_spl
| aElementOf0(sK3_skl(cS1395,X0,X1),X0)
| aElementOf0(sK3_skl(cS1395,X0,X1),X1)
| cS1395 = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK3_skl(cS1395,X0,X1)) ),
inference(component_clause,[status(thm)],[f878]) ).
fof(f881,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| sQ90_spl ),
inference(split_clause,[status(thm)],[f875,f878,f418,f422]) ).
fof(f882,definition,
! [X0,X1] :
( sQ91_spl
<=> ( aInteger0(sK3_skl(cS1395,X0,X1))
| cS1395 = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK3_skl(cS1395,X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ91_spl])],[split_symbol_definition]) ).
fof(f883,plain,
! [X0,X1] :
( ~ sQ91_spl
| aInteger0(sK3_skl(cS1395,X0,X1))
| cS1395 = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK3_skl(cS1395,X0,X1)) ),
inference(component_clause,[status(thm)],[f882]) ).
fof(f885,plain,
( ~ sQ31_spl
| ~ sQ30_spl
| sQ91_spl ),
inference(split_clause,[status(thm)],[f876,f882,f418,f422]) ).
fof(f887,plain,
! [X0,X1] :
( ~ sQ91_spl
| cS1395 = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK3_skl(cS1395,X0,X1)) ),
inference(duplicate_literals_removal,[status(thm)],[f883]) ).
fof(f888,plain,
! [X0] :
( ~ sQ29_spl
| aInteger0(X0)
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[f289,f412]) ).
fof(f890,plain,
! [X0,X1] :
( ~ sQ29_spl
| aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ),
inference(resolution,[status(thm)],[f888,f141]) ).
fof(f891,plain,
! [X0] :
( ~ sQ29_spl
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0)
| aInteger0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)) ),
inference(resolution,[status(thm)],[f888,f126]) ).
fof(f894,definition,
! [X0,X1] :
( sQ92_spl
<=> ( aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X0)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ92_spl])],[split_symbol_definition]) ).
fof(f898,definition,
! [X0,X1] :
( sQ93_spl
<=> ( aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ93_spl])],[split_symbol_definition]) ).
fof(f899,plain,
! [X0,X1] :
( ~ sQ93_spl
| aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ),
inference(component_clause,[status(thm)],[f898]) ).
fof(f901,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f890,f898,f407,f411]) ).
fof(f902,definition,
! [X0] :
( sQ94_spl
<=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0)
| aInteger0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ94_spl])],[split_symbol_definition]) ).
fof(f903,plain,
! [X0] :
( ~ sQ94_spl
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0)
| aInteger0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)) ),
inference(component_clause,[status(thm)],[f902]) ).
fof(f905,plain,
( ~ sQ29_spl
| ~ sQ28_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f891,f902,f407,f411]) ).
fof(f907,plain,
! [X0,X1] :
( ~ sQ93_spl
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ),
inference(duplicate_literals_removal,[status(thm)],[f899]) ).
fof(f908,plain,
! [X0,X1] :
( ~ sQ32_spl
| ~ aElementOf0(sK3_skl(cS1395,X0,X1),X0)
| ~ aInteger0(sK3_skl(cS1395,X0,X1))
| ~ aSet0(cS1395)
| cS1395 = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aInteger0(sK3_skl(cS1395,X0,X1)) ),
inference(resolution,[status(thm)],[f427,f140]) ).
fof(f912,definition,
! [X0,X1] :
( sQ95_spl
<=> ( ~ aElementOf0(sK3_skl(cS1395,X0,X1),X0)
| ~ aInteger0(sK3_skl(cS1395,X0,X1))
| cS1395 = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aInteger0(sK3_skl(cS1395,X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ95_spl])],[split_symbol_definition]) ).
fof(f913,plain,
! [X0,X1] :
( ~ sQ95_spl
| ~ aElementOf0(sK3_skl(cS1395,X0,X1),X0)
| ~ aInteger0(sK3_skl(cS1395,X0,X1))
| cS1395 = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aInteger0(sK3_skl(cS1395,X0,X1)) ),
inference(component_clause,[status(thm)],[f912]) ).
fof(f915,plain,
( ~ sQ32_spl
| ~ sQ30_spl
| sQ95_spl ),
inference(split_clause,[status(thm)],[f908,f912,f418,f426]) ).
fof(f917,plain,
! [X0,X1] :
( ~ sQ95_spl
| ~ aElementOf0(sK3_skl(cS1395,X0,X1),X0)
| cS1395 = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aInteger0(sK3_skl(cS1395,X0,X1)) ),
inference(duplicate_literals_removal,[status(thm)],[f913]) ).
fof(f924,plain,
! [X0] :
( ~ sQ40_spl
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0)
| aElementOf0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),cS1395) ),
inference(resolution,[status(thm)],[f455,f126]) ).
fof(f935,definition,
! [X0] :
( sQ98_spl
<=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0)
| aElementOf0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ98_spl])],[split_symbol_definition]) ).
fof(f936,plain,
! [X0] :
( ~ sQ98_spl
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0)
| aElementOf0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),cS1395) ),
inference(component_clause,[status(thm)],[f935]) ).
fof(f938,plain,
( ~ sQ40_spl
| ~ sQ28_spl
| sQ98_spl ),
inference(split_clause,[status(thm)],[f924,f935,f407,f454]) ).
fof(f970,definition,
( sQ101_spl
<=> aInteger0(sdtpldt0(sK21_skl,smndt0(xa))) ),
introduced(definition,[new_symbols(definition,[sQ101_spl])],[split_symbol_definition]) ).
fof(f972,plain,
( sQ101_spl
| ~ aInteger0(sdtpldt0(sK21_skl,smndt0(xa))) ),
inference(component_clause,[status(thm)],[f970]) ).
fof(f1009,plain,
! [X0,X1,X2] :
( aInteger0(sK4_skl(X2,X1,X0))
| aElementOf0(sK4_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f153,f253]) ).
fof(f1010,plain,
! [X0,X1,X2] :
( aElementOf0(sK4_skl(X2,X1,X0),X1)
| aElementOf0(sK4_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f153,f255]) ).
fof(f1011,plain,
! [X0,X1,X2] :
( aElementOf0(sK4_skl(X2,X1,X0),X0)
| aElementOf0(sK4_skl(X2,X1,X0),X2)
| ~ aSet0(X2)
| X2 = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f153,f254]) ).
fof(f1021,plain,
! [X0,X1] :
( ~ sQ5_spl
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X0)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),xa,xq) ),
inference(resolution,[status(thm)],[f316,f142]) ).
fof(f1022,plain,
! [X0,X1] :
( ~ sQ5_spl
| aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),xa,xq) ),
inference(resolution,[status(thm)],[f316,f141]) ).
fof(f1023,plain,
! [X0] :
( ~ sQ5_spl
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0)
| sdteqdtlpzmzozddtrp0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xa,xq) ),
inference(resolution,[status(thm)],[f316,f126]) ).
fof(f1025,plain,
! [X0] :
( ~ sQ5_spl
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| sdteqdtlpzmzozddtrp0(X0,xa,xq) ),
inference(resolution,[status(thm)],[f316,f504]) ).
fof(f1026,definition,
! [X0,X1] :
( sQ107_spl
<=> ( aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X0)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),xa,xq) ) ),
introduced(definition,[new_symbols(definition,[sQ107_spl])],[split_symbol_definition]) ).
fof(f1027,plain,
! [X0,X1] :
( ~ sQ107_spl
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X0)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),xa,xq) ),
inference(component_clause,[status(thm)],[f1026]) ).
fof(f1029,plain,
( ~ sQ5_spl
| ~ sQ28_spl
| sQ107_spl ),
inference(split_clause,[status(thm)],[f1021,f1026,f407,f315]) ).
fof(f1030,definition,
! [X0,X1] :
( sQ108_spl
<=> ( aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),xa,xq) ) ),
introduced(definition,[new_symbols(definition,[sQ108_spl])],[split_symbol_definition]) ).
fof(f1033,plain,
( ~ sQ5_spl
| ~ sQ28_spl
| sQ108_spl ),
inference(split_clause,[status(thm)],[f1022,f1030,f407,f315]) ).
fof(f1034,definition,
! [X0] :
( sQ109_spl
<=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0)
| sdteqdtlpzmzozddtrp0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xa,xq) ) ),
introduced(definition,[new_symbols(definition,[sQ109_spl])],[split_symbol_definition]) ).
fof(f1035,plain,
! [X0] :
( ~ sQ109_spl
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0)
| sdteqdtlpzmzozddtrp0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xa,xq) ),
inference(component_clause,[status(thm)],[f1034]) ).
fof(f1037,plain,
( ~ sQ5_spl
| ~ sQ28_spl
| sQ109_spl ),
inference(split_clause,[status(thm)],[f1023,f1034,f407,f315]) ).
fof(f1038,plain,
( ~ sQ5_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ88_spl ),
inference(split_clause,[status(thm)],[f1025,f840,f585,f542,f588,f315]) ).
fof(f1076,plain,
! [X0] :
( ~ sQ5_spl
| sdteqdtlpzmzozddtrp0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq)),xa,xq)
| ~ aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| sP1_prd(sK5_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(resolution,[status(thm)],[f494,f316]) ).
fof(f1078,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(sK6_skl(X2,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1)),szAzrzSzezqlpdtcmdtrp0(X0,X1)),X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aElementOf0(X2,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| sP1_prd(sK5_skl(szAzrzSzezqlpdtcmdtrp0(X0,X1)),szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(X0,X1)) ),
inference(resolution,[status(thm)],[f494,f503]) ).
fof(f1082,definition,
( sQ113_spl
<=> sP1_prd(sK5_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
introduced(definition,[new_symbols(definition,[sQ113_spl])],[split_symbol_definition]) ).
fof(f1085,definition,
! [X0] :
( sQ114_spl
<=> ( sdteqdtlpzmzozddtrp0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq)),xa,xq)
| ~ aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ114_spl])],[split_symbol_definition]) ).
fof(f1086,plain,
! [X0] :
( ~ sQ114_spl
| sdteqdtlpzmzozddtrp0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq)),xa,xq)
| ~ aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(component_clause,[status(thm)],[f1085]) ).
fof(f1088,plain,
( ~ sQ5_spl
| sQ114_spl
| sQ113_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1076,f407,f1082,f1085,f315]) ).
fof(f1093,plain,
! [X0,X1,X2] :
( sdteqdtlpzmzozddtrp0(sK6_skl(X2,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1)),szAzrzSzezqlpdtcmdtrp0(X0,X1)),X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aElementOf0(X2,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| sP1_prd(sK5_skl(szAzrzSzezqlpdtcmdtrp0(X0,X1)),szAzrzSzezqlpdtcmdtrp0(X0,X1)) ),
inference(forward_subsumption_resolution,[status(thm)],[f1078,f501]) ).
fof(f1096,plain,
! [X0,X1] :
( ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X0)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| sP3_prd(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ),
inference(resolution,[status(thm)],[f294,f140]) ).
fof(f1097,plain,
! [X0] :
( ~ aSet0(X0)
| aSubsetOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sP3_prd(sK2_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(resolution,[status(thm)],[f294,f127]) ).
fof(f1098,plain,
! [X0] :
( ~ sQ5_spl
| sdteqdtlpzmzozddtrp0(X0,xa,xq)
| sP3_prd(X0) ),
inference(resolution,[status(thm)],[f294,f316]) ).
fof(f1100,plain,
! [X0] :
( sdteqdtlpzmzozddtrp0(X0,xa,xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| sP3_prd(X0) ),
inference(resolution,[status(thm)],[f294,f503]) ).
fof(f1101,plain,
! [X0] :
( aInteger0(X0)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| sP3_prd(X0) ),
inference(resolution,[status(thm)],[f294,f502]) ).
fof(f1102,definition,
! [X0,X1] :
( sQ116_spl
<=> ( ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X0)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| sP3_prd(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ116_spl])],[split_symbol_definition]) ).
fof(f1105,plain,
( ~ sQ28_spl
| sQ116_spl ),
inference(split_clause,[status(thm)],[f1096,f1102,f407]) ).
fof(f1106,definition,
! [X0] :
( sQ117_spl
<=> ( ~ aSet0(X0)
| aSubsetOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sP3_prd(sK2_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ117_spl])],[split_symbol_definition]) ).
fof(f1109,plain,
( ~ sQ28_spl
| sQ117_spl ),
inference(split_clause,[status(thm)],[f1097,f1106,f407]) ).
fof(f1110,definition,
! [X0] :
( sQ118_spl
<=> ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
| sP3_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ118_spl])],[split_symbol_definition]) ).
fof(f1113,plain,
( sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ118_spl ),
inference(split_clause,[status(thm)],[f1100,f1110,f585,f542,f588]) ).
fof(f1114,definition,
! [X0] :
( sQ119_spl
<=> ( aInteger0(X0)
| sP3_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ119_spl])],[split_symbol_definition]) ).
fof(f1117,plain,
( sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ119_spl ),
inference(split_clause,[status(thm)],[f1101,f1114,f585,f542,f588]) ).
fof(f1119,plain,
( ~ sQ13_spl
| ~ sQ10_spl
| aInteger0(sK16_skl) ),
inference(resolution,[status(thm)],[f336,f348]) ).
fof(f1144,plain,
( ~ sQ13_spl
| ~ sQ11_spl
| ~ aElementOf0(sK16_skl,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(resolution,[status(thm)],[f340,f348]) ).
fof(f1185,plain,
! [X0,X1,X2,X3] :
( ~ sdteqdtlpzmzozddtrp0(sK7_skl(X1,X0),X2,X3)
| ~ aInteger0(sK7_skl(X1,X0))
| X3 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aElementOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),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(resolution,[status(thm)],[f165,f504]) ).
fof(f1191,plain,
! [X0,X1,X2,X3] :
( ~ sdteqdtlpzmzozddtrp0(sK7_skl(X1,X0),X2,X3)
| X3 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aElementOf0(szAzrzSzezqlpdtcmdtrp0(X2,X3),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(duplicate_literals_removal,[status(thm)],[f1185]) ).
fof(f1197,plain,
! [X0] :
( ~ sQ5_spl
| sdteqdtlpzmzozddtrp0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xa,xq)
| aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f166,f316]) ).
fof(f1212,definition,
! [X0] :
( sQ133_spl
<=> ( sdteqdtlpzmzozddtrp0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xa,xq)
| aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ133_spl])],[split_symbol_definition]) ).
fof(f1213,plain,
! [X0] :
( ~ sQ133_spl
| sdteqdtlpzmzozddtrp0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xa,xq)
| aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(component_clause,[status(thm)],[f1212]) ).
fof(f1215,plain,
( ~ sQ5_spl
| ~ sQ28_spl
| sQ133_spl ),
inference(split_clause,[status(thm)],[f1197,f1212,f407,f315]) ).
fof(f1225,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sdteqdtlpzmzozddtrp0(sK16_skl,xa,xq)
| ~ aInteger0(sK16_skl) ),
inference(resolution,[status(thm)],[f1144,f328]) ).
fof(f1227,definition,
( sQ135_spl
<=> aInteger0(sK16_skl) ),
introduced(definition,[new_symbols(definition,[sQ135_spl])],[split_symbol_definition]) ).
fof(f1229,plain,
( sQ135_spl
| ~ aInteger0(sK16_skl) ),
inference(component_clause,[status(thm)],[f1227]) ).
fof(f1230,definition,
( sQ136_spl
<=> sdteqdtlpzmzozddtrp0(sK16_skl,xa,xq) ),
introduced(definition,[new_symbols(definition,[sQ136_spl])],[split_symbol_definition]) ).
fof(f1233,plain,
( ~ sQ8_spl
| ~ sQ13_spl
| ~ sQ11_spl
| ~ sQ136_spl
| ~ sQ135_spl ),
inference(split_clause,[status(thm)],[f1225,f1227,f1230,f339,f347,f327]) ).
fof(f1235,plain,
( sQ135_spl
| ~ sQ13_spl
| ~ sQ10_spl
| $false ),
inference(forward_subsumption_resolution,[status(thm)],[f1229,f1119]) ).
fof(f1236,plain,
( sQ135_spl
| ~ sQ13_spl
| ~ sQ10_spl ),
inference(contradiction_clause,[status(thm)],[f1235]) ).
fof(f1271,plain,
( sQ101_spl
| ~ aInteger0(smndt0(xa))
| ~ aInteger0(sK21_skl) ),
inference(resolution,[status(thm)],[f52,f972]) ).
fof(f1273,definition,
( sQ139_spl
<=> aInteger0(smndt0(xa)) ),
introduced(definition,[new_symbols(definition,[sQ139_spl])],[split_symbol_definition]) ).
fof(f1275,plain,
( sQ139_spl
| ~ aInteger0(smndt0(xa)) ),
inference(component_clause,[status(thm)],[f1273]) ).
fof(f1276,plain,
( sQ101_spl
| ~ sQ139_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f1271,f445,f1273,f970]) ).
fof(f1278,plain,
( sQ139_spl
| ~ aInteger0(xa) ),
inference(resolution,[status(thm)],[f1275,f50]) ).
fof(f1279,plain,
( sQ139_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1278,f585,f1273]) ).
fof(f1286,plain,
! [X0] :
( ~ sQ5_spl
| sdteqdtlpzmzozddtrp0(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),xa,xq)
| aElementOf0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),X0)
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sP1_prd(sK5_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(resolution,[status(thm)],[f167,f316]) ).
fof(f1302,definition,
! [X0] :
( sQ142_spl
<=> ( sdteqdtlpzmzozddtrp0(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),xa,xq)
| aElementOf0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),X0)
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ),
introduced(definition,[new_symbols(definition,[sQ142_spl])],[split_symbol_definition]) ).
fof(f1303,plain,
! [X0] :
( ~ sQ142_spl
| sdteqdtlpzmzozddtrp0(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),xa,xq)
| aElementOf0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),X0)
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(component_clause,[status(thm)],[f1302]) ).
fof(f1305,plain,
( ~ sQ5_spl
| sQ142_spl
| sQ113_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f1286,f407,f1082,f1302,f315]) ).
fof(f1315,plain,
! [X0] :
( sP3_prd(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| aElementOf0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),X0)
| ~ aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f177,f294]) ).
fof(f1316,plain,
! [X0] :
( ~ sQ8_spl
| ~ sdteqdtlpzmzozddtrp0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xa,xq)
| ~ aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| aElementOf0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),X0)
| ~ aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f177,f328]) ).
fof(f1323,definition,
! [X0] :
( sQ145_spl
<=> ( sP3_prd(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| aElementOf0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),X0)
| ~ aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ145_spl])],[split_symbol_definition]) ).
fof(f1326,plain,
( ~ sQ28_spl
| sQ145_spl ),
inference(split_clause,[status(thm)],[f1315,f1323,f407]) ).
fof(f1327,definition,
! [X0] :
( sQ146_spl
<=> ( ~ sdteqdtlpzmzozddtrp0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xa,xq)
| ~ aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| aElementOf0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),X0)
| ~ aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ146_spl])],[split_symbol_definition]) ).
fof(f1330,plain,
( ~ sQ8_spl
| ~ sQ28_spl
| sQ146_spl ),
inference(split_clause,[status(thm)],[f1316,f1327,f407,f327]) ).
fof(f1336,plain,
! [X0] :
( ~ sQ1_spl
| aElementOf0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),X0)
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sP1_prd(sK5_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aInteger0(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(resolution,[status(thm)],[f300,f167]) ).
fof(f1337,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0)
| aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)) ),
inference(resolution,[status(thm)],[f300,f166]) ).
fof(f1338,plain,
! [X0] :
( ~ sQ1_spl
| ~ aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| sP1_prd(sK5_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aInteger0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(resolution,[status(thm)],[f300,f494]) ).
fof(f1339,plain,
! [X0,X1] :
( ~ sQ1_spl
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X0)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ),
inference(resolution,[status(thm)],[f300,f142]) ).
fof(f1340,plain,
! [X0,X1] :
( ~ sQ1_spl
| aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ),
inference(resolution,[status(thm)],[f300,f141]) ).
fof(f1341,plain,
! [X0] :
( ~ sQ1_spl
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0)
| aInteger0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)) ),
inference(resolution,[status(thm)],[f300,f126]) ).
fof(f1344,plain,
! [X0] :
( ~ sQ1_spl
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| aInteger0(X0) ),
inference(resolution,[status(thm)],[f300,f504]) ).
fof(f1345,definition,
! [X0] :
( sQ147_spl
<=> ( aElementOf0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),X0)
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aInteger0(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ147_spl])],[split_symbol_definition]) ).
fof(f1346,plain,
! [X0] :
( ~ sQ147_spl
| aElementOf0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),X0)
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aInteger0(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(component_clause,[status(thm)],[f1345]) ).
fof(f1348,plain,
( ~ sQ1_spl
| sQ113_spl
| ~ sQ28_spl
| sQ147_spl ),
inference(split_clause,[status(thm)],[f1336,f1345,f407,f1082,f299]) ).
fof(f1349,definition,
! [X0] :
( sQ148_spl
<=> ( aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0)
| aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ148_spl])],[split_symbol_definition]) ).
fof(f1352,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| sQ148_spl ),
inference(split_clause,[status(thm)],[f1337,f1349,f407,f299]) ).
fof(f1353,definition,
! [X0] :
( sQ149_spl
<=> ( ~ aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aInteger0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ149_spl])],[split_symbol_definition]) ).
fof(f1356,plain,
( ~ sQ1_spl
| sQ113_spl
| ~ sQ28_spl
| sQ149_spl ),
inference(split_clause,[status(thm)],[f1338,f1353,f407,f1082,f299]) ).
fof(f1357,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| sQ92_spl ),
inference(split_clause,[status(thm)],[f1339,f894,f407,f299]) ).
fof(f1358,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| sQ93_spl ),
inference(split_clause,[status(thm)],[f1340,f898,f407,f299]) ).
fof(f1359,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| sQ94_spl ),
inference(split_clause,[status(thm)],[f1341,f902,f407,f299]) ).
fof(f1360,plain,
( ~ sQ1_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ87_spl ),
inference(split_clause,[status(thm)],[f1344,f832,f585,f542,f588,f299]) ).
fof(f1441,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f178,f300]) ).
fof(f1442,plain,
! [X0] :
( ~ sQ5_spl
| sdteqdtlpzmzozddtrp0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xa,xq)
| aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f178,f316]) ).
fof(f1462,definition,
! [X0] :
( sQ160_spl
<=> ( aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ160_spl])],[split_symbol_definition]) ).
fof(f1465,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| sQ160_spl ),
inference(split_clause,[status(thm)],[f1441,f1462,f407,f299]) ).
fof(f1466,definition,
! [X0] :
( sQ161_spl
<=> ( sdteqdtlpzmzozddtrp0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xa,xq)
| aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = stldt0(X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ161_spl])],[split_symbol_definition]) ).
fof(f1469,plain,
( ~ sQ5_spl
| ~ sQ28_spl
| sQ161_spl ),
inference(split_clause,[status(thm)],[f1442,f1466,f407,f315]) ).
fof(f1502,plain,
! [X0] :
( ~ sQ5_spl
| sP3_prd(sK10_skl(X0,xq,xa))
| ~ aInteger0(sK10_skl(X0,xq,xa))
| ~ aElementOf0(sK10_skl(X0,xq,xa),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(xa,xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(resolution,[status(thm)],[f188,f1098]) ).
fof(f1503,definition,
! [X0] :
( sQ167_spl
<=> ( sP3_prd(sK10_skl(X0,xq,xa))
| ~ aInteger0(sK10_skl(X0,xq,xa))
| ~ aElementOf0(sK10_skl(X0,xq,xa),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(xa,xq) ) ),
introduced(definition,[new_symbols(definition,[sQ167_spl])],[split_symbol_definition]) ).
fof(f1506,plain,
( ~ sQ5_spl
| sQ167_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f1502,f585,f542,f588,f1503,f315]) ).
fof(f1558,plain,
! [X0,X1] :
( ~ sQ1_spl
| aInteger0(sK10_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| aInteger0(sK10_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f189,f300]) ).
fof(f1559,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdteqdtlpzmzozddtrp0(sK10_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xa,xq)
| aInteger0(sK10_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f189,f316]) ).
fof(f1579,definition,
! [X0,X1] :
( sQ173_spl
<=> ( aInteger0(sK10_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| aInteger0(sK10_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ173_spl])],[split_symbol_definition]) ).
fof(f1582,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| sQ173_spl ),
inference(split_clause,[status(thm)],[f1558,f1579,f407,f299]) ).
fof(f1583,definition,
! [X0,X1] :
( sQ174_spl
<=> ( sdteqdtlpzmzozddtrp0(sK10_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xa,xq)
| aInteger0(sK10_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = szAzrzSzezqlpdtcmdtrp0(X0,X1)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ174_spl])],[split_symbol_definition]) ).
fof(f1586,plain,
( ~ sQ5_spl
| ~ sQ28_spl
| sQ174_spl ),
inference(split_clause,[status(thm)],[f1559,f1583,f407,f315]) ).
fof(f1597,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ23_spl
| sdteqdtlpzmzozddtrp0(sK18_skl(X0),sK16_skl,X0)
| X0 = sz00
| ~ aInteger0(X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f388,f372]) ).
fof(f1599,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ23_spl
| aInteger0(sK18_skl(X0))
| X0 = sz00
| ~ aInteger0(X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f388,f356]) ).
fof(f1603,plain,
! [X0] :
( ~ sQ19_spl
| ~ sQ23_spl
| sdteqdtlpzmzozddtrp0(sK18_skl(X0),sK16_skl,X0)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1597]) ).
fof(f1605,plain,
! [X0] :
( ~ sQ15_spl
| ~ sQ23_spl
| aInteger0(sK18_skl(X0))
| X0 = sz00
| ~ aInteger0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f1599]) ).
fof(f1624,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ24_spl
| aElementOf0(sK18_skl(X0),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(sK18_skl(X0))
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f392,f344]) ).
fof(f1630,plain,
! [X0] :
( isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(X0,sK11_skl(X0,cS1395))))
| ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,sK11_skl(X0,cS1395)))
| ~ aElementOf0(X0,cS1395)
| ~ isOpen0(cS1395)
| ~ aSubsetOf0(cS1395,cS1395) ),
inference(resolution,[status(thm)],[f196,f201]) ).
fof(f1631,plain,
! [X0] :
( ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(X0,sK11_skl(X0,cS1395))))
| isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,sK11_skl(X0,cS1395)))
| ~ aElementOf0(X0,cS1395)
| ~ isOpen0(cS1395)
| ~ aSubsetOf0(cS1395,cS1395) ),
inference(resolution,[status(thm)],[f196,f202]) ).
fof(f1632,plain,
! [X0] :
( aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(X0,sK11_skl(X0,cS1395))))
| ~ aElementOf0(X0,cS1395)
| ~ isOpen0(cS1395)
| ~ aSubsetOf0(cS1395,cS1395) ),
inference(resolution,[status(thm)],[f196,f497]) ).
fof(f1642,definition,
( sQ180_spl
<=> aSubsetOf0(cS1395,cS1395) ),
introduced(definition,[new_symbols(definition,[sQ180_spl])],[split_symbol_definition]) ).
fof(f1645,definition,
( sQ181_spl
<=> isOpen0(cS1395) ),
introduced(definition,[new_symbols(definition,[sQ181_spl])],[split_symbol_definition]) ).
fof(f1648,definition,
! [X0] :
( sQ182_spl
<=> ( isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(X0,sK11_skl(X0,cS1395))))
| ~ isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,sK11_skl(X0,cS1395)))
| ~ aElementOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ182_spl])],[split_symbol_definition]) ).
fof(f1651,plain,
( sQ182_spl
| ~ sQ181_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f1630,f1642,f1645,f1648]) ).
fof(f1652,definition,
! [X0] :
( sQ183_spl
<=> ( ~ isOpen0(stldt0(szAzrzSzezqlpdtcmdtrp0(X0,sK11_skl(X0,cS1395))))
| isClosed0(szAzrzSzezqlpdtcmdtrp0(X0,sK11_skl(X0,cS1395)))
| ~ aElementOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ183_spl])],[split_symbol_definition]) ).
fof(f1655,plain,
( sQ183_spl
| ~ sQ181_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f1631,f1642,f1645,f1652]) ).
fof(f1656,definition,
! [X0] :
( sQ184_spl
<=> ( aSet0(stldt0(szAzrzSzezqlpdtcmdtrp0(X0,sK11_skl(X0,cS1395))))
| ~ aElementOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ184_spl])],[split_symbol_definition]) ).
fof(f1659,plain,
( sQ184_spl
| ~ sQ181_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f1632,f1642,f1645,f1656]) ).
fof(f1671,plain,
! [X0,X1] :
( aInteger0(sK12_skl(szAzrzSzezqlpdtcmdtrp0(X0,X1)))
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| isOpen0(szAzrzSzezqlpdtcmdtrp0(X0,X1))
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(X0,X1),cS1395) ),
inference(resolution,[status(thm)],[f197,f502]) ).
fof(f1834,plain,
! [X0,X1] :
( aInteger0(sK10_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = szAzrzSzezqlpdtcmdtrp0(X1,X0)
| X0 = sz00
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| aInteger0(sK24_skl(sK10_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)))
| ~ sP3_prd(sK10_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ),
inference(resolution,[status(thm)],[f290,f189]) ).
fof(f1835,plain,
! [X0] :
( aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = stldt0(X0)
| ~ aSubsetOf0(X0,cS1395)
| aInteger0(sK24_skl(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)))
| ~ sP3_prd(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)) ),
inference(resolution,[status(thm)],[f290,f178]) ).
fof(f1836,plain,
! [X0] :
( aElementOf0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),X0)
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sP1_prd(sK5_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aInteger0(sK24_skl(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))))
| ~ sP3_prd(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(resolution,[status(thm)],[f290,f167]) ).
fof(f1837,plain,
! [X0] :
( aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0)
| aInteger0(sK24_skl(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)))
| ~ sP3_prd(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)) ),
inference(resolution,[status(thm)],[f290,f166]) ).
fof(f1838,plain,
! [X0] :
( ~ aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| sP1_prd(sK5_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aInteger0(sK24_skl(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))))
| ~ sP3_prd(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(resolution,[status(thm)],[f290,f494]) ).
fof(f1839,plain,
! [X0,X1] :
( aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X0)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK24_skl(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)))
| ~ sP3_prd(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ),
inference(resolution,[status(thm)],[f290,f142]) ).
fof(f1840,plain,
! [X0,X1] :
( aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK24_skl(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)))
| ~ sP3_prd(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ),
inference(resolution,[status(thm)],[f290,f141]) ).
fof(f1841,plain,
! [X0] :
( ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0)
| aInteger0(sK24_skl(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)))
| ~ sP3_prd(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)) ),
inference(resolution,[status(thm)],[f290,f126]) ).
fof(f1844,plain,
! [X0] :
( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| aInteger0(sK24_skl(X0))
| ~ sP3_prd(X0) ),
inference(resolution,[status(thm)],[f290,f504]) ).
fof(f1859,definition,
! [X0,X1] :
( sQ220_spl
<=> ( aInteger0(sK10_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = szAzrzSzezqlpdtcmdtrp0(X1,X0)
| X0 = sz00
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| aInteger0(sK24_skl(sK10_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)))
| ~ sP3_prd(sK10_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ220_spl])],[split_symbol_definition]) ).
fof(f1862,plain,
( ~ sQ28_spl
| sQ220_spl ),
inference(split_clause,[status(thm)],[f1834,f1859,f407]) ).
fof(f1863,definition,
! [X0] :
( sQ221_spl
<=> ( aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = stldt0(X0)
| ~ aSubsetOf0(X0,cS1395)
| aInteger0(sK24_skl(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)))
| ~ sP3_prd(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ221_spl])],[split_symbol_definition]) ).
fof(f1866,plain,
( ~ sQ28_spl
| sQ221_spl ),
inference(split_clause,[status(thm)],[f1835,f1863,f407]) ).
fof(f1867,definition,
! [X0] :
( sQ222_spl
<=> ( aElementOf0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),X0)
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aInteger0(sK24_skl(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))))
| ~ sP3_prd(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ222_spl])],[split_symbol_definition]) ).
fof(f1870,plain,
( sQ113_spl
| ~ sQ28_spl
| sQ222_spl ),
inference(split_clause,[status(thm)],[f1836,f1867,f407,f1082]) ).
fof(f1871,definition,
! [X0] :
( sQ223_spl
<=> ( aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0)
| aInteger0(sK24_skl(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)))
| ~ sP3_prd(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ223_spl])],[split_symbol_definition]) ).
fof(f1874,plain,
( ~ sQ28_spl
| sQ223_spl ),
inference(split_clause,[status(thm)],[f1837,f1871,f407]) ).
fof(f1875,definition,
! [X0] :
( sQ224_spl
<=> ( ~ aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aInteger0(sK24_skl(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))))
| ~ sP3_prd(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ224_spl])],[split_symbol_definition]) ).
fof(f1878,plain,
( sQ113_spl
| ~ sQ28_spl
| sQ224_spl ),
inference(split_clause,[status(thm)],[f1838,f1875,f407,f1082]) ).
fof(f1879,definition,
! [X0,X1] :
( sQ225_spl
<=> ( aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X0)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK24_skl(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)))
| ~ sP3_prd(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ225_spl])],[split_symbol_definition]) ).
fof(f1882,plain,
( ~ sQ28_spl
| sQ225_spl ),
inference(split_clause,[status(thm)],[f1839,f1879,f407]) ).
fof(f1883,definition,
! [X0,X1] :
( sQ226_spl
<=> ( aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| aInteger0(sK24_skl(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)))
| ~ sP3_prd(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ226_spl])],[split_symbol_definition]) ).
fof(f1886,plain,
( ~ sQ28_spl
| sQ226_spl ),
inference(split_clause,[status(thm)],[f1840,f1883,f407]) ).
fof(f1887,definition,
! [X0] :
( sQ227_spl
<=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0)
| aInteger0(sK24_skl(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)))
| ~ sP3_prd(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ227_spl])],[split_symbol_definition]) ).
fof(f1890,plain,
( ~ sQ28_spl
| sQ227_spl ),
inference(split_clause,[status(thm)],[f1841,f1887,f407]) ).
fof(f1891,definition,
! [X0] :
( sQ228_spl
<=> ( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| aInteger0(sK24_skl(X0))
| ~ sP3_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ228_spl])],[split_symbol_definition]) ).
fof(f1894,plain,
( sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ228_spl ),
inference(split_clause,[status(thm)],[f1844,f1891,f585,f542,f588]) ).
fof(f1901,plain,
! [X0,X1,X2,X3] :
( aElementOf0(sK10_skl(X0,sdtasdt0(X1,X2),X3),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(X3,sdtasdt0(X1,X2))
| sdtasdt0(X1,X2) = sz00
| ~ aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X3)
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,sdtasdt0(X1,X2),X3),X3,X2)
| X2 = sz00
| ~ aInteger0(X2)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(sK10_skl(X0,sdtasdt0(X1,X2),X3)) ),
inference(resolution,[status(thm)],[f104,f190]) ).
fof(f1902,plain,
! [X0,X1,X2,X3] :
( aElementOf0(sK10_skl(X0,sdtasdt0(X1,X2),X3),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(X3,sdtasdt0(X1,X2))
| sdtasdt0(X1,X2) = sz00
| ~ aInteger0(sdtasdt0(X1,X2))
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,sdtasdt0(X1,X2),X3),X3,X2)
| X2 = sz00
| ~ aInteger0(X2)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(sK10_skl(X0,sdtasdt0(X1,X2),X3)) ),
inference(duplicate_literals_removal,[status(thm)],[f1901]) ).
fof(f1903,plain,
! [X0,X1,X2,X3] :
( aElementOf0(sK10_skl(X3,sdtasdt0(X1,X2),X0),X3)
| ~ aSet0(X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X0,sdtasdt0(X1,X2))
| sdtasdt0(X1,X2) = sz00
| ~ aInteger0(sdtasdt0(X1,X2))
| sdteqdtlpzmzozddtrp0(sK10_skl(X3,sdtasdt0(X1,X2),X0),X0,X2)
| X2 = sz00
| ~ aInteger0(X2)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1902,f189]) ).
fof(f1904,plain,
! [X0,X1,X2,X3] :
( aElementOf0(sK10_skl(X0,sdtasdt0(X1,X2),X3),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(X3,sdtasdt0(X1,X2))
| sdtasdt0(X1,X2) = sz00
| ~ aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X3)
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,sdtasdt0(X1,X2),X3),X3,X1)
| X2 = sz00
| ~ aInteger0(X2)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(sK10_skl(X0,sdtasdt0(X1,X2),X3)) ),
inference(resolution,[status(thm)],[f103,f190]) ).
fof(f1905,plain,
! [X0,X1,X2,X3] :
( aElementOf0(sK10_skl(X0,sdtasdt0(X1,X2),X3),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(X3,sdtasdt0(X1,X2))
| sdtasdt0(X1,X2) = sz00
| ~ aInteger0(sdtasdt0(X1,X2))
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,sdtasdt0(X1,X2),X3),X3,X1)
| X2 = sz00
| ~ aInteger0(X2)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X3)
| ~ aInteger0(sK10_skl(X0,sdtasdt0(X1,X2),X3)) ),
inference(duplicate_literals_removal,[status(thm)],[f1904]) ).
fof(f1906,plain,
! [X0,X1,X2,X3] :
( aElementOf0(sK10_skl(X3,sdtasdt0(X1,X2),X0),X3)
| ~ aSet0(X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X0,sdtasdt0(X1,X2))
| sdtasdt0(X1,X2) = sz00
| ~ aInteger0(sdtasdt0(X1,X2))
| sdteqdtlpzmzozddtrp0(sK10_skl(X3,sdtasdt0(X1,X2),X0),X0,X1)
| X2 = sz00
| ~ aInteger0(X2)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1905,f189]) ).
fof(f1975,plain,
! [X0,X1] :
( ~ sQ5_spl
| sP3_prd(X1)
| sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,xq)
| ~ aInteger0(xa)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f101,f1098]) ).
fof(f1982,definition,
! [X0,X1] :
( sQ241_spl
<=> ( sP3_prd(X1)
| sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,xq)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ241_spl])],[split_symbol_definition]) ).
fof(f1985,plain,
( ~ sQ5_spl
| ~ sQ59_spl
| sQ60_spl
| ~ sQ52_spl
| sQ241_spl ),
inference(split_clause,[status(thm)],[f1975,f1982,f542,f588,f585,f315]) ).
fof(f1988,plain,
! [X0] :
( ~ sQ5_spl
| sP3_prd(X0)
| sdteqdtlpzmzozddtrp0(xa,X0,xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f99,f1098]) ).
fof(f1991,definition,
! [X0] :
( sQ242_spl
<=> ( sP3_prd(X0)
| sdteqdtlpzmzozddtrp0(xa,X0,xq)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ242_spl])],[split_symbol_definition]) ).
fof(f1992,plain,
! [X0] :
( ~ sQ242_spl
| sP3_prd(X0)
| sdteqdtlpzmzozddtrp0(xa,X0,xq)
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f1991]) ).
fof(f1994,plain,
( ~ sQ5_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ242_spl ),
inference(split_clause,[status(thm)],[f1988,f1991,f585,f542,f588,f315]) ).
fof(f1995,plain,
! [X0] :
( ~ sQ242_spl
| ~ sQ1_spl
| sP3_prd(X0)
| sdteqdtlpzmzozddtrp0(xa,X0,xq) ),
inference(forward_subsumption_resolution,[status(thm)],[f1992,f507]) ).
fof(f2023,plain,
! [X0] :
( ~ sQ242_spl
| ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(X0,xa,xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(X0)
| ~ aInteger0(xa)
| sP3_prd(X0) ),
inference(resolution,[status(thm)],[f1995,f99]) ).
fof(f2024,plain,
! [X0,X1] :
( ~ sQ242_spl
| ~ sQ1_spl
| sdteqdtlpzmzozddtrp0(X1,X0,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ aInteger0(X0)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(X1)
| sP3_prd(X0) ),
inference(resolution,[status(thm)],[f1995,f101]) ).
fof(f2025,definition,
! [X0] :
( sQ245_spl
<=> ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| sP3_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ245_spl])],[split_symbol_definition]) ).
fof(f2028,plain,
( ~ sQ242_spl
| ~ sQ1_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ245_spl ),
inference(split_clause,[status(thm)],[f2023,f2025,f585,f542,f588,f299,f1991]) ).
fof(f2029,definition,
! [X0,X1] :
( sQ246_spl
<=> ( sdteqdtlpzmzozddtrp0(X1,X0,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ aInteger0(X0)
| ~ aInteger0(X1)
| sP3_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ246_spl])],[split_symbol_definition]) ).
fof(f2032,plain,
( ~ sQ242_spl
| ~ sQ1_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ246_spl ),
inference(split_clause,[status(thm)],[f2024,f2029,f585,f542,f588,f299,f1991]) ).
fof(f2149,plain,
! [X0,X1] :
( aElementOf0(sK9_skl(X1,stldt0(X0)),X1)
| ~ aSet0(X1)
| X1 = stldt0(stldt0(X0))
| ~ aSubsetOf0(stldt0(X0),cS1395)
| aElementOf0(sK9_skl(X1,stldt0(X0)),X0)
| ~ aInteger0(sK9_skl(X1,stldt0(X0)))
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f500,f179]) ).
fof(f2151,plain,
! [X0,X1,X2] :
( ~ aElementOf0(stldt0(X0),X2)
| ~ aInteger0(sK7_skl(X1,X2))
| ~ aElementOf0(sK7_skl(X1,X2),X1)
| ~ aSet0(X1)
| X1 = sbsmnsldt0(X2)
| sP1_prd(sK5_skl(X2),X2)
| ~ aSet0(X2)
| aElementOf0(sK7_skl(X1,X2),X0)
| ~ aInteger0(sK7_skl(X1,X2))
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f500,f165]) ).
fof(f2161,plain,
! [X0,X1] :
( aElementOf0(sK9_skl(X1,stldt0(X0)),X1)
| ~ aSet0(X1)
| X1 = stldt0(stldt0(X0))
| ~ aSubsetOf0(stldt0(X0),cS1395)
| aElementOf0(sK9_skl(X1,stldt0(X0)),X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(forward_subsumption_resolution,[status(thm)],[f2149,f178]) ).
fof(f2164,plain,
! [X0,X1,X2] :
( ~ aElementOf0(stldt0(X0),X2)
| ~ aElementOf0(sK7_skl(X1,X2),X1)
| ~ aSet0(X1)
| X1 = sbsmnsldt0(X2)
| sP1_prd(sK5_skl(X2),X2)
| ~ aSet0(X2)
| aElementOf0(sK7_skl(X1,X2),X0)
| ~ aInteger0(sK7_skl(X1,X2))
| ~ aSubsetOf0(X0,cS1395) ),
inference(duplicate_literals_removal,[status(thm)],[f2151]) ).
fof(f2337,plain,
! [X0,X1] :
( sP3_prd(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f139,f294]) ).
fof(f2339,plain,
! [X0,X1,X2,X3] :
( ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X2,X3)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0))
| X3 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X0)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
| szAzrzSzezqlpdtcmdtrp0(X2,X3) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f139,f504]) ).
fof(f2349,definition,
! [X0,X1] :
( sQ289_spl
<=> ( sP3_prd(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ289_spl])],[split_symbol_definition]) ).
fof(f2352,plain,
( ~ sQ28_spl
| sQ289_spl ),
inference(split_clause,[status(thm)],[f2337,f2349,f407]) ).
fof(f2354,plain,
! [X0,X1,X2,X3] :
( ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X2,X3)
| X3 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X0)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(X2,X3))
| szAzrzSzezqlpdtcmdtrp0(X2,X3) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(duplicate_literals_removal,[status(thm)],[f2339]) ).
fof(f2355,plain,
! [X0,X1,X2,X3] :
( ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X2,X3)
| X3 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X0)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0))
| szAzrzSzezqlpdtcmdtrp0(X2,X3) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(forward_subsumption_resolution,[status(thm)],[f2354,f501]) ).
fof(f2393,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(sdtbsmnsldt0(X0,X1),X3)
| ~ aInteger0(sK7_skl(X2,X3))
| ~ aElementOf0(sK7_skl(X2,X3),X2)
| ~ aSet0(X2)
| X2 = sbsmnsldt0(X3)
| sP1_prd(sK5_skl(X3),X3)
| ~ aSet0(X3)
| ~ aElementOf0(sK7_skl(X2,X3),X1)
| ~ aInteger0(sK7_skl(X2,X3))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f488,f165]) ).
fof(f2400,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(sdtbsmnsldt0(X0,X1),X3)
| ~ aElementOf0(sK7_skl(X2,X3),X2)
| ~ aSet0(X2)
| X2 = sbsmnsldt0(X3)
| sP1_prd(sK5_skl(X3),X3)
| ~ aSet0(X3)
| ~ aElementOf0(sK7_skl(X2,X3),X1)
| ~ aInteger0(sK7_skl(X2,X3))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(duplicate_literals_removal,[status(thm)],[f2393]) ).
fof(f2405,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(sdtbsmnsldt0(X0,X1),X3)
| ~ aInteger0(sK7_skl(X2,X3))
| ~ aElementOf0(sK7_skl(X2,X3),X2)
| ~ aSet0(X2)
| X2 = sbsmnsldt0(X3)
| sP1_prd(sK5_skl(X3),X3)
| ~ aSet0(X3)
| ~ aElementOf0(sK7_skl(X2,X3),X0)
| ~ aInteger0(sK7_skl(X2,X3))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f487,f165]) ).
fof(f2412,plain,
! [X0,X1,X2,X3] :
( ~ aElementOf0(sdtbsmnsldt0(X0,X1),X3)
| ~ aElementOf0(sK7_skl(X2,X3),X2)
| ~ aSet0(X2)
| X2 = sbsmnsldt0(X3)
| sP1_prd(sK5_skl(X3),X3)
| ~ aSet0(X3)
| ~ aElementOf0(sK7_skl(X2,X3),X0)
| ~ aInteger0(sK7_skl(X2,X3))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(duplicate_literals_removal,[status(thm)],[f2405]) ).
fof(f2442,plain,
! [X0,X1] :
( ~ sQ19_spl
| ~ sQ23_spl
| sdteqdtlpzmzozddtrp0(X1,sK16_skl,X0)
| ~ sdteqdtlpzmzozddtrp0(X1,sK18_skl(X0),X0)
| ~ aInteger0(sK16_skl)
| X0 = sz00
| ~ aInteger0(X0)
| ~ aInteger0(sK18_skl(X0))
| ~ aInteger0(X1)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f1603,f101]) ).
fof(f2455,definition,
! [X0,X1] :
( sQ295_spl
<=> ( sdteqdtlpzmzozddtrp0(X1,sK16_skl,X0)
| ~ sdteqdtlpzmzozddtrp0(X1,sK18_skl(X0),X0)
| X0 = sz00
| ~ aInteger0(X0)
| ~ aInteger0(sK18_skl(X0))
| ~ aInteger0(X1)
| X0 = sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ295_spl])],[split_symbol_definition]) ).
fof(f2456,plain,
! [X0,X1] :
( ~ sQ295_spl
| sdteqdtlpzmzozddtrp0(X1,sK16_skl,X0)
| ~ sdteqdtlpzmzozddtrp0(X1,sK18_skl(X0),X0)
| X0 = sz00
| ~ aInteger0(X0)
| ~ aInteger0(sK18_skl(X0))
| ~ aInteger0(X1)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f2455]) ).
fof(f2458,plain,
( ~ sQ19_spl
| ~ sQ23_spl
| ~ sQ135_spl
| sQ295_spl ),
inference(split_clause,[status(thm)],[f2442,f2455,f1227,f387,f371]) ).
fof(f2463,plain,
! [X0,X1] :
( ~ sQ295_spl
| sdteqdtlpzmzozddtrp0(X1,sK16_skl,X0)
| ~ sdteqdtlpzmzozddtrp0(X1,sK18_skl(X0),X0)
| ~ aInteger0(sK18_skl(X0))
| ~ aInteger0(X1)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(duplicate_literals_removal,[status(thm)],[f2456]) ).
fof(f2464,plain,
! [X0,X1] :
( ~ sQ295_spl
| ~ sQ15_spl
| ~ sQ23_spl
| sdteqdtlpzmzozddtrp0(X1,sK16_skl,X0)
| ~ sdteqdtlpzmzozddtrp0(X1,sK18_skl(X0),X0)
| ~ aInteger0(X1)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f2463,f1605]) ).
fof(f2465,plain,
! [X0] :
( ~ sQ57_spl
| ~ aDivisorOf0(X0,sz00)
| ~ aInteger0(sz00)
| sK0_skl(X0,sz00) = sz00
| X0 = sz00
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(resolution,[status(thm)],[f575,f89]) ).
fof(f2466,definition,
! [X0] :
( sQ296_spl
<=> ( ~ aDivisorOf0(X0,sz00)
| sK0_skl(X0,sz00) = sz00
| X0 = sz00
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ) ),
introduced(definition,[new_symbols(definition,[sQ296_spl])],[split_symbol_definition]) ).
fof(f2469,plain,
( ~ sQ57_spl
| ~ sQ46_spl
| sQ296_spl ),
inference(split_clause,[status(thm)],[f2465,f2466,f512,f574]) ).
fof(f2815,definition,
( sQ348_spl
<=> aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
introduced(definition,[new_symbols(definition,[sQ348_spl])],[split_symbol_definition]) ).
fof(f2816,plain,
( ~ sQ348_spl
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(component_clause,[status(thm)],[f2815]) ).
fof(f2817,plain,
( sQ348_spl
| ~ aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(component_clause,[status(thm)],[f2815]) ).
fof(f2992,plain,
! [X0] :
( ~ sQ5_spl
| sP3_prd(sK2_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aSet0(X0)
| aSubsetOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(sK2_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(resolution,[status(thm)],[f851,f1098]) ).
fof(f2994,definition,
! [X0] :
( sQ374_spl
<=> ( sP3_prd(sK2_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aSet0(X0)
| aSubsetOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(sK2_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ374_spl])],[split_symbol_definition]) ).
fof(f2997,plain,
( ~ sQ5_spl
| sQ374_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f2992,f585,f542,f588,f2994,f315]) ).
fof(f3416,plain,
! [X0,X1,X2,X3] :
( ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X2,X3)
| X3 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X1)
| szAzrzSzezqlpdtcmdtrp0(X2,X3) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(backward_subsumption_resolution,[status(thm)],[f862,f869]) ).
fof(f3557,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ5_spl
| ~ aInteger0(sdtpldt0(X0,smndt0(xa)))
| ~ aDivisorOf0(xq,sdtpldt0(X0,smndt0(xa)))
| sP3_prd(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f676,f1098]) ).
fof(f3559,plain,
! [X0] :
( ~ sQ1_spl
| ~ sQ5_spl
| ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(X0)
| ~ aInteger0(sdtpldt0(X0,smndt0(xa)))
| sP3_prd(X0) ),
inference(resolution,[status(thm)],[f3557,f94]) ).
fof(f3561,definition,
! [X0] :
( sQ420_spl
<=> ( ~ sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ aInteger0(X0)
| ~ aInteger0(sdtpldt0(X0,smndt0(xa)))
| sP3_prd(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ420_spl])],[split_symbol_definition]) ).
fof(f3564,plain,
( ~ sQ1_spl
| ~ sQ5_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ420_spl ),
inference(split_clause,[status(thm)],[f3559,f3561,f585,f542,f588,f315,f299]) ).
fof(f4184,plain,
! [X0,X1] :
( ~ sQ107_spl
| sdteqdtlpzmzozddtrp0(xa,sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f1027,f99]) ).
fof(f4185,plain,
! [X0,X1,X2] :
( ~ sQ107_spl
| sdteqdtlpzmzozddtrp0(X2,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X2,sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xq)
| ~ aInteger0(xa)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| ~ aInteger0(X2)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f1027,f101]) ).
fof(f4186,definition,
! [X0,X1] :
( sQ502_spl
<=> ( sdteqdtlpzmzozddtrp0(xa,sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xq)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ502_spl])],[split_symbol_definition]) ).
fof(f4189,plain,
( ~ sQ107_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ502_spl ),
inference(split_clause,[status(thm)],[f4184,f4186,f585,f542,f588,f1026]) ).
fof(f4190,definition,
! [X0,X1,X2] :
( sQ503_spl
<=> ( sdteqdtlpzmzozddtrp0(X2,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X2,sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xq)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| ~ aInteger0(X2)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ503_spl])],[split_symbol_definition]) ).
fof(f4193,plain,
( ~ sQ107_spl
| ~ sQ59_spl
| sQ60_spl
| ~ sQ52_spl
| sQ503_spl ),
inference(split_clause,[status(thm)],[f4185,f4190,f542,f588,f585,f1026]) ).
fof(f4255,plain,
! [X0] :
( ~ sQ109_spl
| sdteqdtlpzmzozddtrp0(xa,sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1035,f99]) ).
fof(f4256,plain,
! [X0,X1] :
( ~ sQ109_spl
| sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xq)
| ~ aInteger0(xa)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| ~ aInteger0(X1)
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1035,f101]) ).
fof(f4259,definition,
! [X0] :
( sQ510_spl
<=> ( sdteqdtlpzmzozddtrp0(xa,sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xq)
| ~ aInteger0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ510_spl])],[split_symbol_definition]) ).
fof(f4262,plain,
( ~ sQ109_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ510_spl ),
inference(split_clause,[status(thm)],[f4255,f4259,f585,f542,f588,f1034]) ).
fof(f4263,definition,
! [X0,X1] :
( sQ511_spl
<=> ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xq)
| ~ aInteger0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| ~ aInteger0(X1)
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ511_spl])],[split_symbol_definition]) ).
fof(f4266,plain,
( ~ sQ109_spl
| ~ sQ59_spl
| sQ60_spl
| ~ sQ52_spl
| sQ511_spl ),
inference(split_clause,[status(thm)],[f4256,f4263,f542,f588,f585,f1034]) ).
fof(f4378,plain,
! [X0] :
( ~ sQ348_spl
| aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(resolution,[status(thm)],[f2816,f125]) ).
fof(f4380,definition,
! [X0] :
( sQ524_spl
<=> ( aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ),
introduced(definition,[new_symbols(definition,[sQ524_spl])],[split_symbol_definition]) ).
fof(f4383,plain,
( ~ sQ348_spl
| sQ524_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f4378,f407,f4380,f2815]) ).
fof(f4392,plain,
( sQ348_spl
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(resolution,[status(thm)],[f2817,f718]) ).
fof(f4393,plain,
( sQ348_spl
| ~ sQ28_spl ),
inference(split_clause,[status(thm)],[f4392,f407,f2815]) ).
fof(f4408,plain,
( ~ sQ75_spl
| ~ sQ76_spl
| aSubsetOf0(cS1395,cS1395)
| ~ aSet0(cS1395)
| ~ aSet0(cS1395)
| aSubsetOf0(cS1395,cS1395) ),
inference(resolution,[status(thm)],[f720,f713]) ).
fof(f4409,plain,
( ~ sQ94_spl
| ~ sQ76_spl
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
| ~ aSet0(cS1395)
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395) ),
inference(resolution,[status(thm)],[f720,f903]) ).
fof(f4411,plain,
( ~ sQ75_spl
| ~ sQ76_spl
| ~ sQ30_spl
| sQ180_spl ),
inference(split_clause,[status(thm)],[f4408,f1642,f418,f719,f712]) ).
fof(f4412,plain,
( ~ sQ94_spl
| ~ sQ76_spl
| ~ sQ30_spl
| ~ sQ28_spl
| sQ35_spl ),
inference(split_clause,[status(thm)],[f4409,f438,f407,f418,f719,f902]) ).
fof(f4658,plain,
! [X0,X1] :
( ~ sQ1_spl
| aInteger0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| aInteger0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f1009,f300]) ).
fof(f4659,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdteqdtlpzmzozddtrp0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xa,xq)
| aInteger0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f1009,f316]) ).
fof(f4689,definition,
! [X0,X1] :
( sQ572_spl
<=> ( aInteger0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| aInteger0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ572_spl])],[split_symbol_definition]) ).
fof(f4692,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| sQ572_spl ),
inference(split_clause,[status(thm)],[f4658,f4689,f407,f299]) ).
fof(f4693,definition,
! [X0,X1] :
( sQ573_spl
<=> ( sdteqdtlpzmzozddtrp0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xa,xq)
| aInteger0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ573_spl])],[split_symbol_definition]) ).
fof(f4696,plain,
( ~ sQ5_spl
| ~ sQ28_spl
| sQ573_spl ),
inference(split_clause,[status(thm)],[f4659,f4693,f407,f315]) ).
fof(f4718,plain,
! [X0,X1] :
( ~ sQ1_spl
| aInteger0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| aElementOf0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f1010,f300]) ).
fof(f4719,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdteqdtlpzmzozddtrp0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xa,xq)
| aElementOf0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f1010,f316]) ).
fof(f4745,definition,
! [X0,X1] :
( sQ578_spl
<=> ( aInteger0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| aElementOf0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ578_spl])],[split_symbol_definition]) ).
fof(f4748,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| sQ578_spl ),
inference(split_clause,[status(thm)],[f4718,f4745,f407,f299]) ).
fof(f4749,definition,
! [X0,X1] :
( sQ579_spl
<=> ( sdteqdtlpzmzozddtrp0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xa,xq)
| aElementOf0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ579_spl])],[split_symbol_definition]) ).
fof(f4752,plain,
( ~ sQ5_spl
| ~ sQ28_spl
| sQ579_spl ),
inference(split_clause,[status(thm)],[f4719,f4749,f407,f315]) ).
fof(f4771,plain,
! [X0,X1] :
( ~ sQ1_spl
| aInteger0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| aElementOf0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f1011,f300]) ).
fof(f4772,plain,
! [X0,X1] :
( ~ sQ5_spl
| sdteqdtlpzmzozddtrp0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xa,xq)
| aElementOf0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f1011,f316]) ).
fof(f4798,definition,
! [X0,X1] :
( sQ584_spl
<=> ( aInteger0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| aElementOf0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ584_spl])],[split_symbol_definition]) ).
fof(f4801,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| sQ584_spl ),
inference(split_clause,[status(thm)],[f4771,f4798,f407,f299]) ).
fof(f4802,definition,
! [X0,X1] :
( sQ585_spl
<=> ( sdteqdtlpzmzozddtrp0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xa,xq)
| aElementOf0(sK4_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtslmnbsdt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ585_spl])],[split_symbol_definition]) ).
fof(f4805,plain,
( ~ sQ5_spl
| ~ sQ28_spl
| sQ585_spl ),
inference(split_clause,[status(thm)],[f4772,f4802,f407,f315]) ).
fof(f5842,plain,
! [X0] :
( ~ sQ133_spl
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aElementOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| ~ aElementOf0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0)
| aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1213,f1191]) ).
fof(f5844,plain,
! [X0] :
( ~ sQ133_spl
| sdteqdtlpzmzozddtrp0(xa,sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1213,f99]) ).
fof(f5845,plain,
! [X0,X1] :
( ~ sQ133_spl
| sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xq)
| ~ aInteger0(xa)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| ~ aInteger0(X1)
| aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ),
inference(resolution,[status(thm)],[f1213,f101]) ).
fof(f5846,definition,
! [X0] :
( sQ688_spl
<=> ( ~ aElementOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| ~ aElementOf0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0)
| aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ688_spl])],[split_symbol_definition]) ).
fof(f5849,plain,
( ~ sQ133_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| ~ sQ28_spl
| sQ688_spl ),
inference(split_clause,[status(thm)],[f5842,f5846,f407,f585,f542,f588,f1212]) ).
fof(f5850,definition,
! [X0] :
( sQ689_spl
<=> ( sdteqdtlpzmzozddtrp0(xa,sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xq)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ689_spl])],[split_symbol_definition]) ).
fof(f5853,plain,
( ~ sQ133_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ689_spl ),
inference(split_clause,[status(thm)],[f5844,f5850,f585,f542,f588,f1212]) ).
fof(f5854,definition,
! [X0,X1] :
( sQ690_spl
<=> ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),xq)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| ~ aInteger0(X1)
| aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X0)
| sP1_prd(sK5_skl(X0),X0)
| ~ aSet0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ690_spl])],[split_symbol_definition]) ).
fof(f5857,plain,
( ~ sQ133_spl
| ~ sQ59_spl
| sQ60_spl
| ~ sQ52_spl
| sQ690_spl ),
inference(split_clause,[status(thm)],[f5845,f5854,f542,f588,f585,f1212]) ).
fof(f7126,plain,
! [X0] :
( ~ sQ90_spl
| ~ aElementOf0(sK3_skl(cS1395,X0,cS1395),X0)
| ~ aInteger0(sK3_skl(cS1395,X0,cS1395))
| ~ aSet0(cS1395)
| cS1395 = sdtbsmnsldt0(cS1395,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(cS1395,cS1395)
| aElementOf0(sK3_skl(cS1395,X0,cS1395),X0)
| cS1395 = sdtbsmnsldt0(cS1395,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(cS1395,cS1395)
| aInteger0(sK3_skl(cS1395,X0,cS1395)) ),
inference(resolution,[status(thm)],[f879,f140]) ).
fof(f7127,plain,
! [X0] :
( ~ sQ90_spl
| ~ aElementOf0(sK3_skl(cS1395,X0,cS1395),cS1395)
| ~ aInteger0(sK3_skl(cS1395,X0,cS1395))
| ~ aSet0(cS1395)
| cS1395 = sdtbsmnsldt0(cS1395,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(cS1395,cS1395)
| aElementOf0(sK3_skl(cS1395,X0,cS1395),X0)
| cS1395 = sdtbsmnsldt0(cS1395,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(cS1395,cS1395)
| aInteger0(sK3_skl(cS1395,X0,cS1395)) ),
inference(resolution,[status(thm)],[f879,f139]) ).
fof(f7146,definition,
! [X0] :
( sQ913_spl
<=> ( ~ aElementOf0(sK3_skl(cS1395,X0,cS1395),X0)
| ~ aInteger0(sK3_skl(cS1395,X0,cS1395))
| cS1395 = sdtbsmnsldt0(cS1395,X0)
| ~ aSubsetOf0(X0,cS1395)
| aElementOf0(sK3_skl(cS1395,X0,cS1395),X0)
| cS1395 = sdtbsmnsldt0(cS1395,X0)
| ~ aSubsetOf0(X0,cS1395)
| aInteger0(sK3_skl(cS1395,X0,cS1395)) ) ),
introduced(definition,[new_symbols(definition,[sQ913_spl])],[split_symbol_definition]) ).
fof(f7149,plain,
( ~ sQ90_spl
| ~ sQ30_spl
| ~ sQ180_spl
| sQ913_spl ),
inference(split_clause,[status(thm)],[f7126,f7146,f1642,f418,f878]) ).
fof(f7150,definition,
! [X0] :
( sQ914_spl
<=> ( ~ aElementOf0(sK3_skl(cS1395,X0,cS1395),cS1395)
| ~ aInteger0(sK3_skl(cS1395,X0,cS1395))
| cS1395 = sdtbsmnsldt0(cS1395,X0)
| ~ aSubsetOf0(X0,cS1395)
| aElementOf0(sK3_skl(cS1395,X0,cS1395),X0)
| cS1395 = sdtbsmnsldt0(cS1395,X0)
| ~ aSubsetOf0(X0,cS1395)
| aInteger0(sK3_skl(cS1395,X0,cS1395)) ) ),
introduced(definition,[new_symbols(definition,[sQ914_spl])],[split_symbol_definition]) ).
fof(f7153,plain,
( ~ sQ90_spl
| ~ sQ30_spl
| ~ sQ180_spl
| sQ914_spl ),
inference(split_clause,[status(thm)],[f7127,f7150,f1642,f418,f878]) ).
fof(f7186,plain,
! [X0,X1] :
( ~ sQ95_spl
| ~ sQ91_spl
| ~ aElementOf0(sK3_skl(cS1395,X1,X0),X1)
| cS1395 = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(forward_subsumption_resolution,[status(thm)],[f917,f887]) ).
fof(f7187,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ91_spl
| aInteger0(sK3_skl(cS1395,cS1395,X0))
| ~ aSet0(cS1395)
| cS1395 = sdtbsmnsldt0(X0,cS1395)
| ~ aSubsetOf0(cS1395,cS1395)
| ~ aSubsetOf0(X0,cS1395)
| cS1395 = sdtbsmnsldt0(X0,cS1395)
| ~ aSubsetOf0(cS1395,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f7186,f141]) ).
fof(f7188,plain,
! [X0] :
( ~ sQ95_spl
| ~ sQ91_spl
| aElementOf0(sK3_skl(cS1395,cS1395,X0),cS1395)
| aElementOf0(sK3_skl(cS1395,cS1395,X0),X0)
| ~ aSet0(cS1395)
| cS1395 = sdtbsmnsldt0(X0,cS1395)
| ~ aSubsetOf0(cS1395,cS1395)
| ~ aSubsetOf0(X0,cS1395)
| cS1395 = sdtbsmnsldt0(X0,cS1395)
| ~ aSubsetOf0(cS1395,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f7186,f142]) ).
fof(f7197,definition,
! [X0] :
( sQ921_spl
<=> ( aInteger0(sK3_skl(cS1395,cS1395,X0))
| cS1395 = sdtbsmnsldt0(X0,cS1395)
| ~ aSubsetOf0(X0,cS1395)
| cS1395 = sdtbsmnsldt0(X0,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ921_spl])],[split_symbol_definition]) ).
fof(f7200,plain,
( ~ sQ95_spl
| ~ sQ91_spl
| ~ sQ30_spl
| ~ sQ180_spl
| sQ921_spl ),
inference(split_clause,[status(thm)],[f7187,f7197,f1642,f418,f882,f912]) ).
fof(f7201,definition,
! [X0] :
( sQ922_spl
<=> ( aElementOf0(sK3_skl(cS1395,cS1395,X0),cS1395)
| aElementOf0(sK3_skl(cS1395,cS1395,X0),X0)
| cS1395 = sdtbsmnsldt0(X0,cS1395)
| ~ aSubsetOf0(X0,cS1395)
| cS1395 = sdtbsmnsldt0(X0,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ922_spl])],[split_symbol_definition]) ).
fof(f7204,plain,
( ~ sQ95_spl
| ~ sQ91_spl
| ~ sQ30_spl
| ~ sQ180_spl
| sQ922_spl ),
inference(split_clause,[status(thm)],[f7188,f7201,f1642,f418,f882,f912]) ).
fof(f7446,plain,
! [X0] :
( ~ sQ147_spl
| ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aElementOf0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),X0)
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sP1_prd(sK5_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aInteger0(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(resolution,[status(thm)],[f1346,f165]) ).
fof(f7465,definition,
! [X0] :
( sQ968_spl
<=> ( ~ aElementOf0(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aInteger0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aElementOf0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),X0)
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aInteger0(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ968_spl])],[split_symbol_definition]) ).
fof(f7468,plain,
( ~ sQ147_spl
| sQ113_spl
| ~ sQ28_spl
| sQ968_spl ),
inference(split_clause,[status(thm)],[f7446,f7465,f407,f1082,f1345]) ).
fof(f7619,plain,
! [X0] :
( ~ sQ142_spl
| sdteqdtlpzmzozddtrp0(xa,sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aElementOf0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),X0)
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(resolution,[status(thm)],[f1303,f99]) ).
fof(f7620,plain,
! [X0,X1] :
( ~ sQ142_spl
| sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),xq)
| ~ aInteger0(xa)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X1)
| aElementOf0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),X0)
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ),
inference(resolution,[status(thm)],[f1303,f101]) ).
fof(f7621,definition,
! [X0] :
( sQ990_spl
<=> ( sdteqdtlpzmzozddtrp0(xa,sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),xq)
| ~ aInteger0(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| aElementOf0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),X0)
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ),
introduced(definition,[new_symbols(definition,[sQ990_spl])],[split_symbol_definition]) ).
fof(f7624,plain,
( ~ sQ142_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ990_spl ),
inference(split_clause,[status(thm)],[f7619,f7621,f585,f542,f588,f1302]) ).
fof(f7625,definition,
! [X0,X1] :
( sQ991_spl
<=> ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),xq)
| ~ aInteger0(sK8_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X1)
| aElementOf0(sK7_skl(X0,szAzrzSzezqlpdtcmdtrp0(xa,xq)),X0)
| ~ aSet0(X0)
| X0 = sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)) ) ),
introduced(definition,[new_symbols(definition,[sQ991_spl])],[split_symbol_definition]) ).
fof(f7628,plain,
( ~ sQ142_spl
| ~ sQ59_spl
| sQ60_spl
| ~ sQ52_spl
| sQ991_spl ),
inference(split_clause,[status(thm)],[f7620,f7625,f542,f588,f585,f1302]) ).
fof(f7765,plain,
! [X0] :
( ~ sQ114_spl
| sdteqdtlpzmzozddtrp0(xa,sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq)),xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(resolution,[status(thm)],[f1086,f99]) ).
fof(f7766,plain,
! [X0,X1] :
( ~ sQ114_spl
| sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq)),xq)
| ~ aInteger0(xa)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X1)
| ~ aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(resolution,[status(thm)],[f1086,f101]) ).
fof(f7767,definition,
! [X0] :
( sQ1009_spl
<=> ( sdteqdtlpzmzozddtrp0(xa,sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq)),xq)
| ~ aInteger0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ1009_spl])],[split_symbol_definition]) ).
fof(f7770,plain,
( ~ sQ114_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ1009_spl ),
inference(split_clause,[status(thm)],[f7765,f7767,f585,f542,f588,f1085]) ).
fof(f7771,definition,
! [X0,X1] :
( sQ1010_spl
<=> ( sdteqdtlpzmzozddtrp0(X1,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X1,sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq)),xq)
| ~ aInteger0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| ~ aInteger0(X1)
| ~ aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ1010_spl])],[split_symbol_definition]) ).
fof(f7774,plain,
( ~ sQ114_spl
| ~ sQ59_spl
| sQ60_spl
| ~ sQ52_spl
| sQ1010_spl ),
inference(split_clause,[status(thm)],[f7766,f7771,f542,f588,f585,f1085]) ).
fof(f7875,plain,
( ~ sQ98_spl
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
| ~ aSet0(cS1395)
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),cS1395)
| ~ aSet0(cS1395) ),
inference(resolution,[status(thm)],[f936,f127]) ).
fof(f7877,plain,
( ~ sQ98_spl
| ~ sQ28_spl
| sQ35_spl
| ~ sQ30_spl ),
inference(split_clause,[status(thm)],[f7875,f418,f438,f407,f935]) ).
fof(f8305,plain,
! [X0] :
( ~ sQ12_spl
| ~ sQ24_spl
| ~ sQ15_spl
| ~ sQ23_spl
| aElementOf0(sK18_skl(X0),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1624,f1605]) ).
fof(f8307,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ24_spl
| ~ sQ15_spl
| ~ sQ23_spl
| sdteqdtlpzmzozddtrp0(sK18_skl(X0),xa,xq)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f8305,f316]) ).
fof(f8482,definition,
( sQ1131_spl
<=> aInteger0(sK11_skl(sK16_skl,cS1395)) ),
introduced(definition,[new_symbols(definition,[sQ1131_spl])],[split_symbol_definition]) ).
fof(f8484,plain,
( sQ1131_spl
| ~ aInteger0(sK11_skl(sK16_skl,cS1395)) ),
inference(component_clause,[status(thm)],[f8482]) ).
fof(f8485,definition,
( sQ1132_spl
<=> sK11_skl(sK16_skl,cS1395) = sz00 ),
introduced(definition,[new_symbols(definition,[sQ1132_spl])],[split_symbol_definition]) ).
fof(f8486,plain,
( ~ sQ1132_spl
| sK11_skl(sK16_skl,cS1395) = sz00 ),
inference(component_clause,[status(thm)],[f8485]) ).
fof(f8491,definition,
( sQ1134_spl
<=> aElementOf0(sK16_skl,cS1395) ),
introduced(definition,[new_symbols(definition,[sQ1134_spl])],[split_symbol_definition]) ).
fof(f8513,plain,
( ~ sQ1132_spl
| ~ aElementOf0(sK16_skl,cS1395)
| ~ isOpen0(cS1395)
| ~ aSubsetOf0(cS1395,cS1395) ),
inference(resolution,[status(thm)],[f8486,f195]) ).
fof(f8522,plain,
( ~ sQ1132_spl
| ~ sQ1134_spl
| ~ sQ181_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f8513,f1642,f1645,f8491,f8485]) ).
fof(f8543,plain,
( sQ1131_spl
| ~ aElementOf0(sK16_skl,cS1395)
| ~ isOpen0(cS1395)
| ~ aSubsetOf0(cS1395,cS1395) ),
inference(resolution,[status(thm)],[f8484,f194]) ).
fof(f8544,plain,
( sQ1131_spl
| ~ sQ1134_spl
| ~ sQ181_spl
| ~ sQ180_spl ),
inference(split_clause,[status(thm)],[f8543,f1642,f1645,f8491,f8482]) ).
fof(f8550,plain,
! [X0] :
( ~ aElementOf0(X0,cS1395)
| ~ isOpen0(cS1395)
| ~ aSubsetOf0(cS1395,cS1395)
| aInteger0(sK12_skl(szAzrzSzezqlpdtcmdtrp0(X0,sK11_skl(X0,cS1395))))
| sK11_skl(X0,cS1395) = sz00
| ~ aInteger0(sK11_skl(X0,cS1395))
| ~ aInteger0(X0)
| isOpen0(szAzrzSzezqlpdtcmdtrp0(X0,sK11_skl(X0,cS1395))) ),
inference(resolution,[status(thm)],[f1671,f196]) ).
fof(f8551,definition,
! [X0] :
( sQ1140_spl
<=> ( ~ aElementOf0(X0,cS1395)
| aInteger0(sK12_skl(szAzrzSzezqlpdtcmdtrp0(X0,sK11_skl(X0,cS1395))))
| sK11_skl(X0,cS1395) = sz00
| ~ aInteger0(sK11_skl(X0,cS1395))
| ~ aInteger0(X0)
| isOpen0(szAzrzSzezqlpdtcmdtrp0(X0,sK11_skl(X0,cS1395))) ) ),
introduced(definition,[new_symbols(definition,[sQ1140_spl])],[split_symbol_definition]) ).
fof(f8554,plain,
( ~ sQ181_spl
| ~ sQ180_spl
| sQ1140_spl ),
inference(split_clause,[status(thm)],[f8550,f8551,f1642,f1645]) ).
fof(f9149,plain,
! [X0,X1,X2,X3] :
( aElementOf0(sK10_skl(X3,sdtasdt0(X1,X2),X0),X3)
| ~ aSet0(X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X0,sdtasdt0(X1,X2))
| sdtasdt0(X1,X2) = sz00
| sdteqdtlpzmzozddtrp0(sK10_skl(X3,sdtasdt0(X1,X2),X0),X0,X2)
| X2 = sz00
| ~ aInteger0(X2)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1903,f54]) ).
fof(f9179,plain,
! [X0,X1,X2,X3] :
( aElementOf0(sK10_skl(X3,sdtasdt0(X1,X2),X0),X3)
| ~ aSet0(X3)
| X3 = szAzrzSzezqlpdtcmdtrp0(X0,sdtasdt0(X1,X2))
| sdtasdt0(X1,X2) = sz00
| sdteqdtlpzmzozddtrp0(sK10_skl(X3,sdtasdt0(X1,X2),X0),X0,X1)
| X2 = sz00
| ~ aInteger0(X2)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f1906,f54]) ).
fof(f9578,plain,
! [X0] :
( ~ sQ5_spl
| sdteqdtlpzmzozddtrp0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),stldt0(X0)),xa,xq)
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = stldt0(stldt0(X0))
| ~ aSubsetOf0(stldt0(X0),cS1395)
| aElementOf0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),stldt0(X0)),X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f2161,f316]) ).
fof(f9579,plain,
! [X0] :
( ~ sQ1_spl
| aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),stldt0(X0)))
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = stldt0(stldt0(X0))
| ~ aSubsetOf0(stldt0(X0),cS1395)
| aElementOf0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),stldt0(X0)),X0)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f2161,f300]) ).
fof(f9607,definition,
! [X0] :
( sQ1291_spl
<=> ( sdteqdtlpzmzozddtrp0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),stldt0(X0)),xa,xq)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = stldt0(stldt0(X0))
| ~ aSubsetOf0(stldt0(X0),cS1395)
| aElementOf0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),stldt0(X0)),X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ1291_spl])],[split_symbol_definition]) ).
fof(f9610,plain,
( ~ sQ5_spl
| ~ sQ28_spl
| sQ1291_spl ),
inference(split_clause,[status(thm)],[f9578,f9607,f407,f315]) ).
fof(f9611,definition,
! [X0] :
( sQ1292_spl
<=> ( aInteger0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),stldt0(X0)))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = stldt0(stldt0(X0))
| ~ aSubsetOf0(stldt0(X0),cS1395)
| aElementOf0(sK9_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),stldt0(X0)),X0)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ1292_spl])],[split_symbol_definition]) ).
fof(f9614,plain,
( ~ sQ1_spl
| ~ sQ28_spl
| sQ1292_spl ),
inference(split_clause,[status(thm)],[f9579,f9611,f407,f299]) ).
fof(f9730,plain,
! [X0,X1] :
( ~ sQ8_spl
| ~ sdteqdtlpzmzozddtrp0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1),xa,xq)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1))
| ~ aElementOf0(stldt0(X0),X1)
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X1)
| sP1_prd(sK5_skl(X1),X1)
| ~ aSet0(X1)
| aElementOf0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1),X0)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1))
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f2164,f328]) ).
fof(f9745,definition,
! [X0,X1] :
( sQ1310_spl
<=> ( ~ sdteqdtlpzmzozddtrp0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1),xa,xq)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1))
| ~ aElementOf0(stldt0(X0),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X1)
| sP1_prd(sK5_skl(X1),X1)
| ~ aSet0(X1)
| aElementOf0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1),X0)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1))
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ1310_spl])],[split_symbol_definition]) ).
fof(f9748,plain,
( ~ sQ8_spl
| ~ sQ28_spl
| sQ1310_spl ),
inference(split_clause,[status(thm)],[f9730,f9745,f407,f327]) ).
fof(f10231,plain,
! [X0,X1,X2,X3] :
( ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X2,X3)
| X3 = sz00
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(X2,X3),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(X2,X3) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(forward_subsumption_resolution,[status(thm)],[f2355,f869]) ).
fof(f10344,plain,
! [X0,X1] :
( ~ sQ89_spl
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f863,f873]) ).
fof(f10345,definition,
! [X0,X1] :
( sQ1402_spl
<=> ( aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ1402_spl])],[split_symbol_definition]) ).
fof(f10348,plain,
( ~ sQ89_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ1402_spl ),
inference(split_clause,[status(thm)],[f10344,f10345,f585,f542,f588,f857]) ).
fof(f10559,plain,
! [X0,X1] :
( ~ sQ85_spl
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X0)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ),
inference(resolution,[status(thm)],[f836,f873]) ).
fof(f10560,definition,
! [X0,X1] :
( sQ1440_spl
<=> ( aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X0)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ1440_spl])],[split_symbol_definition]) ).
fof(f10563,plain,
( ~ sQ85_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ1440_spl ),
inference(split_clause,[status(thm)],[f10559,f10560,f585,f542,f588,f823]) ).
fof(f10713,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ sdteqdtlpzmzozddtrp0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2),xa,xq)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2))
| ~ aElementOf0(sdtbsmnsldt0(X0,X1),X2)
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X2)
| sP1_prd(sK5_skl(X2),X2)
| ~ aSet0(X2)
| ~ aElementOf0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2),X1)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f2400,f328]) ).
fof(f10728,definition,
! [X0,X1,X2] :
( sQ1461_spl
<=> ( ~ sdteqdtlpzmzozddtrp0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2),xa,xq)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2))
| ~ aElementOf0(sdtbsmnsldt0(X0,X1),X2)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X2)
| sP1_prd(sK5_skl(X2),X2)
| ~ aSet0(X2)
| ~ aElementOf0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2),X1)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ1461_spl])],[split_symbol_definition]) ).
fof(f10731,plain,
( ~ sQ8_spl
| ~ sQ28_spl
| sQ1461_spl ),
inference(split_clause,[status(thm)],[f10713,f10728,f407,f327]) ).
fof(f11147,plain,
! [X0,X1,X2] :
( ~ sQ8_spl
| ~ sdteqdtlpzmzozddtrp0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2),xa,xq)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2))
| ~ aElementOf0(sdtbsmnsldt0(X0,X1),X2)
| ~ aSet0(szAzrzSzezqlpdtcmdtrp0(xa,xq))
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X2)
| sP1_prd(sK5_skl(X2),X2)
| ~ aSet0(X2)
| ~ aElementOf0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2),X0)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f2412,f328]) ).
fof(f11162,definition,
! [X0,X1,X2] :
( sQ1528_spl
<=> ( ~ sdteqdtlpzmzozddtrp0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2),xa,xq)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2))
| ~ aElementOf0(sdtbsmnsldt0(X0,X1),X2)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sbsmnsldt0(X2)
| sP1_prd(sK5_skl(X2),X2)
| ~ aSet0(X2)
| ~ aElementOf0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2),X0)
| ~ aInteger0(sK7_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X2))
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ1528_spl])],[split_symbol_definition]) ).
fof(f11165,plain,
( ~ sQ8_spl
| ~ sQ28_spl
| sQ1528_spl ),
inference(split_clause,[status(thm)],[f11147,f11162,f407,f327]) ).
fof(f13418,plain,
! [X0] :
( ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ24_spl
| ~ sQ15_spl
| ~ sQ23_spl
| sdteqdtlpzmzozddtrp0(xa,sK18_skl(X0),xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(sK18_skl(X0))
| X0 = sz00
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f8307,f99]) ).
fof(f13420,definition,
! [X0] :
( sQ1879_spl
<=> ( sdteqdtlpzmzozddtrp0(xa,sK18_skl(X0),xq)
| ~ aInteger0(sK18_skl(X0))
| X0 = sz00
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ1879_spl])],[split_symbol_definition]) ).
fof(f13421,plain,
! [X0] :
( ~ sQ1879_spl
| sdteqdtlpzmzozddtrp0(xa,sK18_skl(X0),xq)
| ~ aInteger0(sK18_skl(X0))
| X0 = sz00
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f13420]) ).
fof(f13423,plain,
( ~ sQ5_spl
| ~ sQ12_spl
| ~ sQ24_spl
| ~ sQ15_spl
| ~ sQ23_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ1879_spl ),
inference(split_clause,[status(thm)],[f13418,f13420,f585,f542,f588,f387,f355,f391,f343,f315]) ).
fof(f13428,plain,
! [X0] :
( ~ sQ1879_spl
| ~ sQ15_spl
| ~ sQ23_spl
| sdteqdtlpzmzozddtrp0(xa,sK18_skl(X0),xq)
| X0 = sz00
| ~ aInteger0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[f13421,f1605]) ).
fof(f15033,plain,
! [X0,X1] :
( ~ sQ107_spl
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f1027,f3416]) ).
fof(f15034,plain,
! [X0,X1] :
( ~ sQ107_spl
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f1027,f10231]) ).
fof(f15039,definition,
! [X0,X1] :
( sQ2156_spl
<=> ( ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ2156_spl])],[split_symbol_definition]) ).
fof(f15042,plain,
( ~ sQ107_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ2156_spl ),
inference(split_clause,[status(thm)],[f15033,f15039,f585,f542,f588,f1026]) ).
fof(f15043,definition,
! [X0,X1] :
( sQ2157_spl
<=> ( ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ) ),
introduced(definition,[new_symbols(definition,[sQ2157_spl])],[split_symbol_definition]) ).
fof(f15046,plain,
( ~ sQ107_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ2157_spl ),
inference(split_clause,[status(thm)],[f15034,f15043,f585,f542,f588,f1026]) ).
fof(f15233,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ93_spl
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),xa,xq) ),
inference(backward_subsumption_resolution,[status(thm)],[f836,f907]) ).
fof(f15234,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ93_spl
| ~ sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),xa,xq)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(backward_subsumption_resolution,[status(thm)],[f863,f907]) ).
fof(f16280,definition,
( sQ2349_spl
<=> aDivisorOf0(sz00,sz00) ),
introduced(definition,[new_symbols(definition,[sQ2349_spl])],[split_symbol_definition]) ).
fof(f16281,plain,
( ~ sQ2349_spl
| aDivisorOf0(sz00,sz00) ),
inference(component_clause,[status(thm)],[f16280]) ).
fof(f16307,plain,
( ~ sQ2349_spl
| ~ aInteger0(sz00) ),
inference(resolution,[status(thm)],[f16281,f480]) ).
fof(f16309,plain,
( ~ sQ2349_spl
| ~ sQ46_spl ),
inference(split_clause,[status(thm)],[f16307,f512,f16280]) ).
fof(f16441,plain,
! [X0,X1] :
( ~ sQ85_spl
| ~ sQ93_spl
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f15233,f873]) ).
fof(f16442,plain,
( ~ sQ85_spl
| ~ sQ93_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ2157_spl ),
inference(split_clause,[status(thm)],[f16441,f15043,f585,f542,f588,f898,f823]) ).
fof(f16451,plain,
! [X0,X1] :
( ~ sQ89_spl
| ~ sQ93_spl
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X0)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395)
| ~ aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X1,X0),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X0,X1)
| ~ aSubsetOf0(X1,cS1395)
| ~ aSubsetOf0(X0,cS1395) ),
inference(resolution,[status(thm)],[f15234,f873]) ).
fof(f16452,plain,
( ~ sQ89_spl
| ~ sQ93_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ2156_spl ),
inference(split_clause,[status(thm)],[f16451,f15039,f585,f542,f588,f898,f857]) ).
fof(f16889,plain,
! [X0] :
( ~ sQ43_spl
| sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,sK21_skl,xq)
| ~ aInteger0(xa)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(sK21_skl)
| ~ aInteger0(X0) ),
inference(resolution,[status(thm)],[f466,f101]) ).
fof(f16899,definition,
! [X0] :
( sQ2408_spl
<=> ( sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,sK21_skl,xq)
| ~ aInteger0(X0) ) ),
introduced(definition,[new_symbols(definition,[sQ2408_spl])],[split_symbol_definition]) ).
fof(f16900,plain,
! [X0] :
( ~ sQ2408_spl
| sdteqdtlpzmzozddtrp0(X0,xa,xq)
| ~ sdteqdtlpzmzozddtrp0(X0,sK21_skl,xq)
| ~ aInteger0(X0) ),
inference(component_clause,[status(thm)],[f16899]) ).
fof(f16902,plain,
( ~ sQ43_spl
| ~ sQ59_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ37_spl
| sQ2408_spl ),
inference(split_clause,[status(thm)],[f16889,f16899,f445,f542,f588,f585,f465]) ).
fof(f16904,plain,
( ~ sQ42_spl
| sdteqdtlpzmzozddtrp0(sK21_skl,xa,xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aInteger0(sK21_skl) ),
inference(resolution,[status(thm)],[f463,f95]) ).
fof(f16907,plain,
( ~ sQ42_spl
| sQ43_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f16904,f445,f585,f542,f588,f465,f462]) ).
fof(f17243,plain,
! [X0] :
( ~ sQ2408_spl
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(sK21_skl)
| ~ aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq)))
| sP1_prd(sK5_skl(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq)),szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq))
| sdteqdtlpzmzozddtrp0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq)),szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq)),xa,xq)
| ~ aInteger0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq)),szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq))) ),
inference(resolution,[status(thm)],[f16900,f1093]) ).
fof(f17244,plain,
! [X0,X1] :
( ~ sQ2408_spl
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(sK21_skl)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq),X0,X1),X0)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq),X0,X1),X1)
| szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq),X0,X1),xa,xq)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq),X0,X1)) ),
inference(resolution,[status(thm)],[f16900,f873]) ).
fof(f17245,plain,
! [X0] :
( ~ sQ2408_spl
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq),X0)
| ~ aSet0(X0)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(sK21_skl)
| sdteqdtlpzmzozddtrp0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq),X0),xa,xq)
| ~ aInteger0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq),X0)) ),
inference(resolution,[status(thm)],[f16900,f839]) ).
fof(f17246,plain,
! [X0,X1] :
( ~ sQ2408_spl
| aElementOf0(sK10_skl(X0,sdtasdt0(xq,X1),sK21_skl),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(sK21_skl,sdtasdt0(xq,X1))
| sdtasdt0(xq,X1) = sz00
| X1 = sz00
| ~ aInteger0(X1)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(sK21_skl)
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,sdtasdt0(xq,X1),sK21_skl),xa,xq)
| ~ aInteger0(sK10_skl(X0,sdtasdt0(xq,X1),sK21_skl)) ),
inference(resolution,[status(thm)],[f16900,f9179]) ).
fof(f17247,plain,
! [X0,X1] :
( ~ sQ2408_spl
| aElementOf0(sK10_skl(X0,sdtasdt0(X1,xq),sK21_skl),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(sK21_skl,sdtasdt0(X1,xq))
| sdtasdt0(X1,xq) = sz00
| xq = sz00
| ~ aInteger0(xq)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(sK21_skl)
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,sdtasdt0(X1,xq),sK21_skl),xa,xq)
| ~ aInteger0(sK10_skl(X0,sdtasdt0(X1,xq),sK21_skl)) ),
inference(resolution,[status(thm)],[f16900,f9149]) ).
fof(f17248,plain,
! [X0] :
( ~ sQ2408_spl
| aElementOf0(sK10_skl(X0,xq,sK21_skl),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(sK21_skl)
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,xq,sK21_skl),xa,xq)
| ~ aInteger0(sK10_skl(X0,xq,sK21_skl)) ),
inference(resolution,[status(thm)],[f16900,f190]) ).
fof(f17249,plain,
( ~ sQ2408_spl
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(sK21_skl)
| sdteqdtlpzmzozddtrp0(sK21_skl,xa,xq)
| ~ aInteger0(sK21_skl) ),
inference(resolution,[status(thm)],[f16900,f97]) ).
fof(f17286,definition,
! [X0] :
( sQ2485_spl
<=> ( ~ aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq)))
| sdteqdtlpzmzozddtrp0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq)),szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq)),xa,xq)
| ~ aInteger0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq)),szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ2485_spl])],[split_symbol_definition]) ).
fof(f17289,definition,
( sQ2486_spl
<=> sP1_prd(sK5_skl(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq)),szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq)) ),
introduced(definition,[new_symbols(definition,[sQ2486_spl])],[split_symbol_definition]) ).
fof(f17292,plain,
( ~ sQ2408_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ37_spl
| sQ2486_spl
| sQ2485_spl ),
inference(split_clause,[status(thm)],[f17243,f17286,f17289,f445,f542,f588,f16899]) ).
fof(f17293,definition,
! [X0,X1] :
( sQ2487_spl
<=> ( aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq),X0,X1),X0)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq),X0,X1),X1)
| szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq),X0,X1),xa,xq)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq),X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ2487_spl])],[split_symbol_definition]) ).
fof(f17296,plain,
( ~ sQ2408_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ37_spl
| sQ2487_spl ),
inference(split_clause,[status(thm)],[f17244,f17293,f445,f542,f588,f16899]) ).
fof(f17297,definition,
! [X0] :
( sQ2488_spl
<=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq),X0)
| ~ aSet0(X0)
| sdteqdtlpzmzozddtrp0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq),X0),xa,xq)
| ~ aInteger0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ2488_spl])],[split_symbol_definition]) ).
fof(f17300,plain,
( ~ sQ2408_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ37_spl
| sQ2488_spl ),
inference(split_clause,[status(thm)],[f17245,f17297,f445,f542,f588,f16899]) ).
fof(f17301,definition,
! [X0,X1] :
( sQ2489_spl
<=> ( aElementOf0(sK10_skl(X0,sdtasdt0(xq,X1),sK21_skl),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(sK21_skl,sdtasdt0(xq,X1))
| sdtasdt0(xq,X1) = sz00
| X1 = sz00
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,sdtasdt0(xq,X1),sK21_skl),xa,xq)
| ~ aInteger0(sK10_skl(X0,sdtasdt0(xq,X1),sK21_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ2489_spl])],[split_symbol_definition]) ).
fof(f17304,plain,
( ~ sQ2408_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ37_spl
| sQ2489_spl ),
inference(split_clause,[status(thm)],[f17246,f17301,f445,f542,f588,f16899]) ).
fof(f17305,definition,
! [X0,X1] :
( sQ2490_spl
<=> ( aElementOf0(sK10_skl(X0,sdtasdt0(X1,xq),sK21_skl),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(sK21_skl,sdtasdt0(X1,xq))
| sdtasdt0(X1,xq) = sz00
| X1 = sz00
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,sdtasdt0(X1,xq),sK21_skl),xa,xq)
| ~ aInteger0(sK10_skl(X0,sdtasdt0(X1,xq),sK21_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ2490_spl])],[split_symbol_definition]) ).
fof(f17308,plain,
( ~ sQ2408_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ37_spl
| sQ2490_spl ),
inference(split_clause,[status(thm)],[f17247,f17305,f445,f542,f588,f16899]) ).
fof(f17309,definition,
! [X0] :
( sQ2491_spl
<=> ( aElementOf0(sK10_skl(X0,xq,sK21_skl),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(sK21_skl,xq)
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,xq,sK21_skl),xa,xq)
| ~ aInteger0(sK10_skl(X0,xq,sK21_skl)) ) ),
introduced(definition,[new_symbols(definition,[sQ2491_spl])],[split_symbol_definition]) ).
fof(f17312,plain,
( ~ sQ2408_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ37_spl
| sQ2491_spl ),
inference(split_clause,[status(thm)],[f17248,f17309,f445,f542,f588,f16899]) ).
fof(f17313,plain,
( ~ sQ2408_spl
| sQ60_spl
| ~ sQ52_spl
| sQ43_spl
| ~ sQ37_spl ),
inference(split_clause,[status(thm)],[f17249,f445,f465,f542,f588,f16899]) ).
fof(f17524,plain,
! [X0] :
( ~ sQ65_spl
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ~ aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| sP1_prd(sK5_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))
| sdteqdtlpzmzozddtrp0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq)),sK21_skl,xq)
| ~ aInteger0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))) ),
inference(resolution,[status(thm)],[f625,f1093]) ).
fof(f17526,plain,
! [X0,X1] :
( ~ sQ65_spl
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X0)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),sK21_skl,xq)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ),
inference(resolution,[status(thm)],[f625,f873]) ).
fof(f17529,plain,
! [X0] :
( ~ sQ65_spl
| aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| sdteqdtlpzmzozddtrp0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),sK21_skl,xq)
| ~ aInteger0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)) ),
inference(resolution,[status(thm)],[f625,f839]) ).
fof(f17531,plain,
! [X0,X1] :
( ~ sQ65_spl
| aElementOf0(sK10_skl(X0,sdtasdt0(xq,X1),xa),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(xa,sdtasdt0(xq,X1))
| sdtasdt0(xq,X1) = sz00
| X1 = sz00
| ~ aInteger0(X1)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,sdtasdt0(xq,X1),xa),sK21_skl,xq)
| ~ aInteger0(sK10_skl(X0,sdtasdt0(xq,X1),xa)) ),
inference(resolution,[status(thm)],[f625,f9179]) ).
fof(f17532,plain,
! [X0,X1] :
( ~ sQ65_spl
| aElementOf0(sK10_skl(X0,sdtasdt0(X1,xq),xa),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(xa,sdtasdt0(X1,xq))
| sdtasdt0(X1,xq) = sz00
| xq = sz00
| ~ aInteger0(xq)
| X1 = sz00
| ~ aInteger0(X1)
| ~ aInteger0(xa)
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,sdtasdt0(X1,xq),xa),sK21_skl,xq)
| ~ aInteger0(sK10_skl(X0,sdtasdt0(X1,xq),xa)) ),
inference(resolution,[status(thm)],[f625,f9149]) ).
fof(f17533,plain,
! [X0] :
( ~ sQ65_spl
| aElementOf0(sK10_skl(X0,xq,xa),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(xa,xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,xq,xa),sK21_skl,xq)
| ~ aInteger0(sK10_skl(X0,xq,xa)) ),
inference(resolution,[status(thm)],[f625,f190]) ).
fof(f17534,plain,
( ~ sQ65_spl
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| sdteqdtlpzmzozddtrp0(xa,sK21_skl,xq)
| ~ aInteger0(xa) ),
inference(resolution,[status(thm)],[f625,f97]) ).
fof(f17547,definition,
! [X0] :
( sQ2530_spl
<=> ( ~ aElementOf0(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)))
| sdteqdtlpzmzozddtrp0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq)),sK21_skl,xq)
| ~ aInteger0(sK6_skl(X0,sbsmnsldt0(szAzrzSzezqlpdtcmdtrp0(xa,xq)),szAzrzSzezqlpdtcmdtrp0(xa,xq))) ) ),
introduced(definition,[new_symbols(definition,[sQ2530_spl])],[split_symbol_definition]) ).
fof(f17550,plain,
( ~ sQ65_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ113_spl
| sQ2530_spl ),
inference(split_clause,[status(thm)],[f17524,f17547,f1082,f585,f542,f588,f624]) ).
fof(f17552,definition,
! [X0,X1] :
( sQ2531_spl
<=> ( aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X0)
| aElementOf0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),X1)
| szAzrzSzezqlpdtcmdtrp0(xa,xq) = sdtbsmnsldt0(X1,X0)
| ~ aSubsetOf0(X0,cS1395)
| ~ aSubsetOf0(X1,cS1395)
| sdteqdtlpzmzozddtrp0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1),sK21_skl,xq)
| ~ aInteger0(sK3_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0,X1)) ) ),
introduced(definition,[new_symbols(definition,[sQ2531_spl])],[split_symbol_definition]) ).
fof(f17555,plain,
( ~ sQ65_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ2531_spl ),
inference(split_clause,[status(thm)],[f17526,f17552,f585,f542,f588,f624]) ).
fof(f17561,definition,
! [X0] :
( sQ2533_spl
<=> ( aSubsetOf0(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)
| ~ aSet0(X0)
| sdteqdtlpzmzozddtrp0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0),sK21_skl,xq)
| ~ aInteger0(sK2_skl(szAzrzSzezqlpdtcmdtrp0(xa,xq),X0)) ) ),
introduced(definition,[new_symbols(definition,[sQ2533_spl])],[split_symbol_definition]) ).
fof(f17564,plain,
( ~ sQ65_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ2533_spl ),
inference(split_clause,[status(thm)],[f17529,f17561,f585,f542,f588,f624]) ).
fof(f17566,definition,
! [X0,X1] :
( sQ2534_spl
<=> ( aElementOf0(sK10_skl(X0,sdtasdt0(xq,X1),xa),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(xa,sdtasdt0(xq,X1))
| sdtasdt0(xq,X1) = sz00
| X1 = sz00
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,sdtasdt0(xq,X1),xa),sK21_skl,xq)
| ~ aInteger0(sK10_skl(X0,sdtasdt0(xq,X1),xa)) ) ),
introduced(definition,[new_symbols(definition,[sQ2534_spl])],[split_symbol_definition]) ).
fof(f17569,plain,
( ~ sQ65_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ2534_spl ),
inference(split_clause,[status(thm)],[f17531,f17566,f585,f542,f588,f624]) ).
fof(f17570,definition,
! [X0,X1] :
( sQ2535_spl
<=> ( aElementOf0(sK10_skl(X0,sdtasdt0(X1,xq),xa),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(xa,sdtasdt0(X1,xq))
| sdtasdt0(X1,xq) = sz00
| X1 = sz00
| ~ aInteger0(X1)
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,sdtasdt0(X1,xq),xa),sK21_skl,xq)
| ~ aInteger0(sK10_skl(X0,sdtasdt0(X1,xq),xa)) ) ),
introduced(definition,[new_symbols(definition,[sQ2535_spl])],[split_symbol_definition]) ).
fof(f17573,plain,
( ~ sQ65_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ2535_spl ),
inference(split_clause,[status(thm)],[f17532,f17570,f585,f542,f588,f624]) ).
fof(f17574,definition,
! [X0] :
( sQ2536_spl
<=> ( aElementOf0(sK10_skl(X0,xq,xa),X0)
| ~ aSet0(X0)
| X0 = szAzrzSzezqlpdtcmdtrp0(xa,xq)
| sdteqdtlpzmzozddtrp0(sK10_skl(X0,xq,xa),sK21_skl,xq)
| ~ aInteger0(sK10_skl(X0,xq,xa)) ) ),
introduced(definition,[new_symbols(definition,[sQ2536_spl])],[split_symbol_definition]) ).
fof(f17577,plain,
( ~ sQ65_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ59_spl
| sQ2536_spl ),
inference(split_clause,[status(thm)],[f17533,f17574,f585,f542,f588,f624]) ).
fof(f17578,plain,
( ~ sQ65_spl
| sQ60_spl
| ~ sQ52_spl
| sQ63_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f17534,f585,f610,f542,f588,f624]) ).
fof(f17661,plain,
( ~ sQ1879_spl
| ~ sQ15_spl
| ~ sQ23_spl
| ~ sQ295_spl
| xq = sz00
| ~ aInteger0(xq)
| sdteqdtlpzmzozddtrp0(xa,sK16_skl,xq)
| ~ aInteger0(xa)
| xq = sz00
| ~ aInteger0(xq) ),
inference(resolution,[status(thm)],[f2464,f13428]) ).
fof(f17675,definition,
( sQ2548_spl
<=> sdteqdtlpzmzozddtrp0(xa,sK16_skl,xq) ),
introduced(definition,[new_symbols(definition,[sQ2548_spl])],[split_symbol_definition]) ).
fof(f17676,plain,
( ~ sQ2548_spl
| sdteqdtlpzmzozddtrp0(xa,sK16_skl,xq) ),
inference(component_clause,[status(thm)],[f17675]) ).
fof(f17678,plain,
( ~ sQ1879_spl
| ~ sQ15_spl
| ~ sQ23_spl
| ~ sQ295_spl
| sQ2548_spl
| ~ sQ59_spl
| sQ60_spl
| ~ sQ52_spl ),
inference(split_clause,[status(thm)],[f17661,f542,f588,f585,f17675,f2455,f387,f355,f13420]) ).
fof(f17764,plain,
( ~ sQ2548_spl
| sdteqdtlpzmzozddtrp0(sK16_skl,xa,xq)
| xq = sz00
| ~ aInteger0(xq)
| ~ aInteger0(sK16_skl)
| ~ aInteger0(xa) ),
inference(resolution,[status(thm)],[f17676,f99]) ).
fof(f17770,plain,
( ~ sQ2548_spl
| sQ136_spl
| sQ60_spl
| ~ sQ52_spl
| ~ sQ135_spl
| ~ sQ59_spl ),
inference(split_clause,[status(thm)],[f17764,f585,f1227,f542,f588,f1230,f17675]) ).
fof(f17775,plain,
$false,
inference(sat_refutation,[status(thm)],[f302,f318,f330,f338,f342,f346,f350,f358,f374,f390,f394,f414,f417,f421,f425,f429,f441,f552,f577,f579,f593,f595,f613,f627,f628,f633,f635,f671,f686,f697,f699,f715,f722,f745,f766,f773,f792,f804,f826,f827,f831,f835,f843,f854,f860,f881,f885,f901,f905,f915,f938,f1029,f1033,f1037,f1038,f1088,f1105,f1109,f1113,f1117,f1215,f1233,f1236,f1276,f1279,f1305,f1326,f1330,f1348,f1352,f1356,f1357,f1358,f1359,f1360,f1465,f1469,f1506,f1582,f1586,f1651,f1655,f1659,f1862,f1866,f1870,f1874,f1878,f1882,f1886,f1890,f1894,f1985,f1994,f2028,f2032,f2352,f2458,f2469,f2997,f3564,f4189,f4193,f4262,f4266,f4383,f4393,f4411,f4412,f4692,f4696,f4748,f4752,f4801,f4805,f5849,f5853,f5857,f7149,f7153,f7200,f7204,f7468,f7624,f7628,f7770,f7774,f7877,f8522,f8544,f8554,f9610,f9614,f9748,f10348,f10563,f10731,f11165,f13423,f15042,f15046,f16309,f16442,f16452,f16902,f16907,f17292,f17296,f17300,f17304,f17308,f17312,f17313,f17550,f17555,f17564,f17569,f17573,f17577,f17578,f17678,f17770]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.04 % Problem : NUM442+6 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.06 % Command : drodi -timeout(300) /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.19/0.44 % Computer : n019.cluster.edu
% 0.19/0.44 % Model : x86_64 x86_64
% 0.19/0.44 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.19/0.44 % Memory : 8046.5625MB
% 0.19/0.44 % OS : Linux 6.8.0-71-generic
% 0.19/0.44 % CPULimit : 300
% 0.19/0.44 % WCLimit : 300
% 0.19/0.44 % DateTime : Mon Sep 21 02:29:35 UTC 2026
% 0.19/0.44 % CPUTime :
% 0.19/0.46 % Drodi V4.1.1
% 78.49/10.43 % Refutation found
% 78.49/10.43 % SZS status Theorem for theBenchmark: Theorem is valid
% 78.49/10.43 % SZS output start CNFRefutation for theBenchmark
% See solution above
% 78.49/10.48 % Elapsed time: 10.024699 seconds
% 78.49/10.48 % CPU time: 78.856888 seconds
% 78.49/10.48 % Total memory used: 391.731 MB
% 78.49/10.48 % Net memory used: 365.985 MB
%------------------------------------------------------------------------------