%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM435+3 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% Computer : n003.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 : Fri Sep 25 02:24:27 PM UTC 2026
% Result : Theorem 8.20s 1.66s
% Output : CNFRefutation 8.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 17
% Number of leaves : 22
% Syntax : Number of formulae : 1357 ( 632 unt; 0 def)
% Number of atoms : 3095 (1355 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 3084 (1346 ~;1643 |; 70 &)
% ( 5 <=>; 20 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 3 avg)
% Maximal term depth : 6 ( 2 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% Number of predicates : 5 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 11 ( 11 usr; 7 con; 0-2 aty)
% Number of variables : 844 ( 0 sgn 838 !; 6 ?; 660 :)
% Comments :
%------------------------------------------------------------------------------
fof(f2,axiom,
aInteger0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntZero) ).
fof(f4,axiom,
! [X0] :
( aInteger0(X0)
=> aInteger0(smndt0(X0)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntNeg) ).
fof(f5,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtpldt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntPlus) ).
fof(f6,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> aInteger0(sdtasdt0(X0,X1)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mIntMult) ).
fof(f7,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddAsso) ).
fof(f8,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddComm) ).
fof(f9,axiom,
! [X0] :
( aInteger0(X0)
=> ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddZero) ).
fof(f10,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtpldt0(smndt0(X0),X0)
& sdtpldt0(X0,smndt0(X0)) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mAddNeg) ).
fof(f11,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulAsso) ).
fof(f12,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulComm) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDistrib) ).
fof(f15,axiom,
! [X0] :
( aInteger0(X0)
=> ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mMulZero) ).
fof(f17,axiom,
! [X0,X1] :
( ( aInteger0(X1)
& aInteger0(X0) )
=> ( sdtasdt0(X0,X1) = sz00
=> ( X1 = sz00
| X0 = sz00 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroDiv) ).
fof(f18,axiom,
! [X0] :
( aInteger0(X0)
=> ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& X1 != sz00
& aInteger0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDivisor) ).
fof(f19,axiom,
! [X0,X1,X2] :
( ( X2 != sz00
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquMod) ).
fof(f20,axiom,
! [X0,X1] :
( ( X1 != sz00
& aInteger0(X1)
& aInteger0(X0) )
=> sdteqdtlpzmzozddtrp0(X0,X0,X1) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModRef) ).
fof(f21,axiom,
! [X0,X1,X2] :
( ( X2 != sz00
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
=> sdteqdtlpzmzozddtrp0(X1,X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModSym) ).
fof(f22,axiom,
! [X0,X1,X2,X3] :
( ( aInteger0(X3)
& X2 != sz00
& aInteger0(X2)
& aInteger0(X1)
& aInteger0(X0) )
=> ( ( sdteqdtlpzmzozddtrp0(X1,X3,X2)
& sdteqdtlpzmzozddtrp0(X0,X1,X2) )
=> sdteqdtlpzmzozddtrp0(X0,X3,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mEquModTrn) ).
fof(f23,axiom,
( xq != sz00
& aInteger0(xq)
& xp != sz00
& aInteger0(xp)
& aInteger0(xb)
& aInteger0(xa) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__979) ).
fof(f24,axiom,
( sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq))
& aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
& ? [X0] :
( sdtasdt0(sdtasdt0(xp,xq),X0) = sdtpldt0(xa,smndt0(xb))
& aInteger0(X0) )
& sdtasdt0(xp,xq) != sz00 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1003) ).
fof(f25,axiom,
( sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb))
& aInteger0(xm) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1032) ).
fof(f26,conjecture,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(xq,sdtasdt0(xp,xm)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f27,negated_conjecture,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(negated_conjecture,[status(cth)],[f26]) ).
fof(f28,plain,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(flattening,[],[f27]) ).
fof(f30,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(ennf_transformation,[],[f17]) ).
fof(f31,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 != sdtasdt0(X0,X1)
| X1 = sz00
| X0 = sz00 ),
inference(flattening,[],[f30]) ).
fof(f32,plain,
! [X0] :
( ~ aInteger0(X0)
| ( sz00 = sdtasdt0(sz00,X0)
& sdtasdt0(X0,sz00) = sz00 ) ),
inference(ennf_transformation,[],[f15]) ).
fof(f33,plain,
! [X0] :
( ~ aInteger0(X0)
| ( X0 = sdtpldt0(sz00,X0)
& sdtpldt0(X0,sz00) = X0 ) ),
inference(ennf_transformation,[],[f9]) ).
fof(f34,plain,
! [X0,X1,X2] :
( sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f35,plain,
! [X0,X1,X2] :
( sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ( sdteqdtlpzmzozddtrp0(X0,X1,X2)
<=> aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ) ),
inference(flattening,[],[f34]) ).
fof(f36,plain,
! [X0] :
( ~ aInteger0(X0)
| ! [X1] :
( aDivisorOf0(X1,X0)
<=> ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& X1 != sz00
& aInteger0(X1) ) ) ),
inference(ennf_transformation,[],[f18]) ).
fof(f37,plain,
! [X0] :
( ~ aInteger0(X0)
| ( sz00 = sdtpldt0(smndt0(X0),X0)
& sdtpldt0(X0,smndt0(X0)) = sz00 ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f38,plain,
! [X0] :
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(ennf_transformation,[],[f4]) ).
fof(f39,plain,
! [X0,X1,X2,X3] :
( ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(X0,X3,X2) ),
inference(ennf_transformation,[],[f22]) ).
fof(f40,plain,
! [X0,X1,X2,X3] :
( ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(X0,X3,X2) ),
inference(flattening,[],[f39]) ).
fof(f41,plain,
! [X0,X1,X2] :
( sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(X1,X0,X2) ),
inference(ennf_transformation,[],[f21]) ).
fof(f42,plain,
! [X0,X1,X2] :
( sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(X1,X0,X2) ),
inference(flattening,[],[f41]) ).
fof(f43,plain,
! [X0,X1] :
( sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdteqdtlpzmzozddtrp0(X0,X0,X1) ),
inference(ennf_transformation,[],[f20]) ).
fof(f44,plain,
! [X0,X1] :
( sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdteqdtlpzmzozddtrp0(X0,X0,X1) ),
inference(flattening,[],[f43]) ).
fof(f45,plain,
! [X0,X1,X2] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(ennf_transformation,[],[f14]) ).
fof(f46,plain,
! [X0,X1,X2] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2))
& sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ) ),
inference(flattening,[],[f45]) ).
fof(f47,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(ennf_transformation,[],[f8]) ).
fof(f48,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(flattening,[],[f47]) ).
fof(f49,plain,
! [X0,X1,X2] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(ennf_transformation,[],[f7]) ).
fof(f50,plain,
! [X0,X1,X2] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(flattening,[],[f49]) ).
fof(f51,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtpldt0(X0,X1)) ),
inference(ennf_transformation,[],[f5]) ).
fof(f52,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtpldt0(X0,X1)) ),
inference(flattening,[],[f51]) ).
fof(f53,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f54,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(flattening,[],[f53]) ).
fof(f55,plain,
! [X0,X1,X2] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
inference(ennf_transformation,[],[f11]) ).
fof(f56,plain,
! [X0,X1,X2] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
inference(flattening,[],[f55]) ).
fof(f57,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtasdt0(X0,X1)) ),
inference(ennf_transformation,[],[f6]) ).
fof(f58,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtasdt0(X0,X1)) ),
inference(flattening,[],[f57]) ).
fof(f59,plain,
( sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq))
& aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb)))
& sdtpldt0(xa,smndt0(xb)) = sdtasdt0(sdtasdt0(xp,xq),sK0)
& aInteger0(sK0)
& sdtasdt0(xp,xq) != sz00 ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK0]),skolemize(X0,sK0)],[f24]) ).
fof(f60,plain,
! [X0,X1,X2] :
( sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ( ( ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) )
& ( ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X0,X1,X2) ) ) ),
inference(nnf_transformation,[],[f35]) ).
fof(f61,plain,
! [X0] :
( ~ aInteger0(X0)
| ! [X1] :
( ( ~ aDivisorOf0(X1,X0)
| ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& X1 != sz00
& aInteger0(X1) ) )
& ( ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1)
| aDivisorOf0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f36]) ).
fof(f62,plain,
! [X0] :
( ~ aInteger0(X0)
| ! [X1] :
( ( ~ aDivisorOf0(X1,X0)
| ( ? [X2] :
( sdtasdt0(X1,X2) = X0
& aInteger0(X2) )
& X1 != sz00
& aInteger0(X1) ) )
& ( ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1)
| aDivisorOf0(X1,X0) ) ) ),
inference(flattening,[],[f61]) ).
fof(f63,plain,
! [X0] :
( ~ aInteger0(X0)
| ! [X1] :
( ( ~ aDivisorOf0(X1,X0)
| ( ? [X3] :
( sdtasdt0(X1,X3) = X0
& aInteger0(X3) )
& X1 != sz00
& aInteger0(X1) ) )
& ( ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1)
| aDivisorOf0(X1,X0) ) ) ),
inference(rectify,[],[f62]) ).
fof(f64,plain,
! [X0] :
( ~ aInteger0(X0)
| ! [X1] :
( ( ~ aDivisorOf0(X1,X0)
| ( sdtasdt0(X1,sK1(X0,X1)) = X0
& aInteger0(sK1(X0,X1))
& X1 != sz00
& aInteger0(X1) ) )
& ( ! [X2] :
( sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2) )
| sz00 = X1
| ~ aInteger0(X1)
| aDivisorOf0(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK1]),skolemize(X3,sK1(X0,X1))],[f63]) ).
fof(f65,plain,
sz00 != xq,
inference(cnf_transformation,[],[f23]) ).
fof(f66,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f23]) ).
fof(f67,plain,
sz00 != xp,
inference(cnf_transformation,[],[f23]) ).
fof(f68,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f23]) ).
fof(f69,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f23]) ).
fof(f70,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f23]) ).
fof(f71,plain,
sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)),
inference(cnf_transformation,[],[f59]) ).
fof(f72,plain,
aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb))),
inference(cnf_transformation,[],[f59]) ).
fof(f73,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(sdtasdt0(xp,xq),sK0),
inference(cnf_transformation,[],[f59]) ).
fof(f74,plain,
aInteger0(sK0),
inference(cnf_transformation,[],[f59]) ).
fof(f75,plain,
sz00 != sdtasdt0(xp,xq),
inference(cnf_transformation,[],[f59]) ).
fof(f76,plain,
sdtpldt0(xa,smndt0(xb)) = sdtasdt0(sdtasdt0(xp,xq),xm),
inference(cnf_transformation,[],[f25]) ).
fof(f77,plain,
aInteger0(xm),
inference(cnf_transformation,[],[f25]) ).
fof(f78,plain,
sdtpldt0(xa,smndt0(xb)) != sdtasdt0(xq,sdtasdt0(xp,xm)),
inference(cnf_transformation,[],[f28]) ).
fof(f79,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sz00 != sdtasdt0(X0,X1)
| sz00 = X1
| sz00 = X0 ),
inference(cnf_transformation,[],[f31]) ).
fof(f80,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(sz00,X0) ),
inference(cnf_transformation,[],[f32]) ).
fof(f81,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtasdt0(X0,sz00) ),
inference(cnf_transformation,[],[f32]) ).
fof(f82,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(sz00,X0) = X0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f83,plain,
! [X0] :
( ~ aInteger0(X0)
| sdtpldt0(X0,sz00) = X0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f84,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f2]) ).
fof(f85,plain,
! [X2,X0,X1] :
( sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1))) ),
inference(cnf_transformation,[],[f60]) ).
fof(f86,plain,
! [X2,X0,X1] :
( sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| sdteqdtlpzmzozddtrp0(X0,X1,X2) ),
inference(cnf_transformation,[],[f60]) ).
fof(f87,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| ~ aDivisorOf0(X1,X0)
| sdtasdt0(X1,sK1(X0,X1)) = X0 ),
inference(cnf_transformation,[],[f64]) ).
fof(f88,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| ~ aDivisorOf0(X1,X0)
| aInteger0(sK1(X0,X1)) ),
inference(cnf_transformation,[],[f64]) ).
fof(f89,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| ~ aDivisorOf0(X1,X0)
| sz00 != X1 ),
inference(cnf_transformation,[],[f64]) ).
fof(f90,plain,
! [X0,X1] :
( ~ aInteger0(X0)
| ~ aDivisorOf0(X1,X0)
| aInteger0(X1) ),
inference(cnf_transformation,[],[f64]) ).
fof(f91,plain,
! [X2,X0,X1] :
( ~ aInteger0(X0)
| sdtasdt0(X1,X2) != X0
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1)
| aDivisorOf0(X1,X0) ),
inference(cnf_transformation,[],[f64]) ).
fof(f92,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(smndt0(X0),X0) ),
inference(cnf_transformation,[],[f37]) ).
fof(f93,plain,
! [X0] :
( ~ aInteger0(X0)
| sz00 = sdtpldt0(X0,smndt0(X0)) ),
inference(cnf_transformation,[],[f37]) ).
fof(f94,plain,
! [X0] :
( ~ aInteger0(X0)
| aInteger0(smndt0(X0)) ),
inference(cnf_transformation,[],[f38]) ).
fof(f95,plain,
! [X2,X3,X0,X1] :
( ~ aInteger0(X3)
| sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(X0,X3,X2) ),
inference(cnf_transformation,[],[f40]) ).
fof(f96,plain,
! [X2,X0,X1] :
( sz00 = X2
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| sdteqdtlpzmzozddtrp0(X1,X0,X2) ),
inference(cnf_transformation,[],[f42]) ).
fof(f97,plain,
! [X0,X1] :
( sz00 = X1
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdteqdtlpzmzozddtrp0(X0,X0,X1) ),
inference(cnf_transformation,[],[f44]) ).
fof(f98,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(sdtpldt0(X0,X1),X2) = sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f99,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) ),
inference(cnf_transformation,[],[f46]) ).
fof(f100,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,X1) = sdtpldt0(X1,X0) ),
inference(cnf_transformation,[],[f48]) ).
fof(f101,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtpldt0(X0,sdtpldt0(X1,X2)) = sdtpldt0(sdtpldt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f50]) ).
fof(f102,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtpldt0(X0,X1)) ),
inference(cnf_transformation,[],[f52]) ).
fof(f103,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,X1) = sdtasdt0(X1,X0) ),
inference(cnf_transformation,[],[f54]) ).
fof(f104,plain,
! [X2,X0,X1] :
( ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| sdtasdt0(X0,sdtasdt0(X1,X2)) = sdtasdt0(sdtasdt0(X0,X1),X2) ),
inference(cnf_transformation,[],[f56]) ).
fof(f105,plain,
! [X0,X1] :
( ~ aInteger0(X1)
| ~ aInteger0(X0)
| aInteger0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f58]) ).
fof(f106,plain,
! [X2,X1] :
( ~ aInteger0(sdtasdt0(X1,X2))
| ~ aInteger0(X2)
| sz00 = X1
| ~ aInteger0(X1)
| aDivisorOf0(X1,sdtasdt0(X1,X2)) ),
inference(equality_resolution,[],[f91]) ).
fof(f107,plain,
! [X0] :
( ~ aInteger0(X0)
| ~ aDivisorOf0(sz00,X0) ),
inference(equality_resolution,[],[f89]) ).
tcf(c_49,plain,
aInteger0(xa),
inference(cnf_transformation,[],[f70]) ).
tcf(c_50,plain,
aInteger0(xb),
inference(cnf_transformation,[],[f69]) ).
tcf(c_51,plain,
aInteger0(xp),
inference(cnf_transformation,[],[f68]) ).
tcf(c_52,plain,
xp != sz00,
inference(cnf_transformation,[],[f67]) ).
tcf(c_53,plain,
aInteger0(xq),
inference(cnf_transformation,[],[f66]) ).
tcf(c_54,plain,
sz00 != xq,
inference(cnf_transformation,[],[f65]) ).
tcf(c_55,plain,
sdtasdt0(xp,xq) != sz00,
inference(cnf_transformation,[],[f75]) ).
tcf(c_56,plain,
aInteger0(sK0),
inference(cnf_transformation,[],[f74]) ).
tcf(c_57,plain,
sdtasdt0(sdtasdt0(xp,xq),sK0) = sdtpldt0(xa,smndt0(xb)),
inference(cnf_transformation,[],[f73]) ).
tcf(c_58,plain,
aDivisorOf0(sdtasdt0(xp,xq),sdtpldt0(xa,smndt0(xb))),
inference(cnf_transformation,[],[f72]) ).
tcf(c_59,plain,
sdteqdtlpzmzozddtrp0(xa,xb,sdtasdt0(xp,xq)),
inference(cnf_transformation,[],[f71]) ).
tcf(c_60,plain,
aInteger0(xm),
inference(cnf_transformation,[],[f77]) ).
tcf(c_61,plain,
sdtasdt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xa,smndt0(xb)),
inference(cnf_transformation,[],[f76]) ).
tcf(c_62,negated_conjecture,
sdtasdt0(xq,sdtasdt0(xp,xm)) != sdtpldt0(xa,smndt0(xb)),
inference(cnf_transformation,[],[f78]) ).
tcf(c_63,plain,
! [X0: $i,X1: $i] :
( ( X1 = sz00 )
| ( X0 = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ( sdtasdt0(X0,X1) != sz00 ) ),
inference(cnf_transformation,[],[f79]) ).
tcf(c_64,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sz00 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f81]) ).
tcf(c_65,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,X0) = sz00 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f80]) ).
tcf(c_66,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = X0 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f83]) ).
tcf(c_67,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,X0) = X0 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f82]) ).
tcf(c_68,plain,
aInteger0(sz00),
inference(cnf_transformation,[],[f84]) ).
tcf(c_69,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdteqdtlpzmzozddtrp0(X1,X2,X0)
| ( X0 = sz00 )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sdtpldt0(X1,smndt0(X2))) ),
inference(cnf_transformation,[],[f86]) ).
tcf(c_70,plain,
! [X0: $i,X1: $i,X2: $i] :
( aDivisorOf0(X2,sdtpldt0(X0,smndt0(X1)))
| ( X2 = sz00 )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ),
inference(cnf_transformation,[],[f85]) ).
tcf(c_71,plain,
! [X0: $i,X1: $i] :
( aDivisorOf0(X0,sdtasdt0(X0,X1))
| ( X0 = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(sdtasdt0(X0,X1)) ),
inference(cnf_transformation,[],[f106]) ).
tcf(c_72,plain,
! [X0: $i,X1: $i] :
( aInteger0(X0)
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(cnf_transformation,[],[f90]) ).
tcf(c_73,plain,
! [X0: $i] :
( ~ aInteger0(X0)
| ~ aDivisorOf0(sz00,X0) ),
inference(cnf_transformation,[],[f107]) ).
tcf(c_74,plain,
! [X0: $i,X1: $i] :
( aInteger0(sK1(X1,X0))
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(cnf_transformation,[],[f88]) ).
tcf(c_75,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,sK1(X1,X0)) = X1 )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(cnf_transformation,[],[f87]) ).
tcf(c_76,plain,
! [X0: $i] :
( ( sdtpldt0(X0,smndt0(X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f93]) ).
tcf(c_77,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),X0) = sz00 )
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f92]) ).
tcf(c_78,plain,
! [X0: $i] :
( aInteger0(smndt0(X0))
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f94]) ).
tcf(c_79,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( sdteqdtlpzmzozddtrp0(X0,X3,X2)
| ( X2 = sz00 )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X1,X3,X2)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ),
inference(cnf_transformation,[],[f95]) ).
tcf(c_80,plain,
! [X0: $i,X1: $i,X2: $i] :
( sdteqdtlpzmzozddtrp0(X1,X0,X2)
| ( X2 = sz00 )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2) ),
inference(cnf_transformation,[],[f96]) ).
tcf(c_81,plain,
! [X0: $i,X1: $i] :
( sdteqdtlpzmzozddtrp0(X0,X0,X1)
| ( X1 = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f97]) ).
tcf(c_82,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sdtasdt0(X0,X2)) = sdtasdt0(X0,sdtpldt0(X1,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f99]) ).
tcf(c_83,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(X0,X1),X2) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f98]) ).
tcf(c_84,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(X0,X1) = sdtpldt0(X1,X0) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f100]) ).
tcf(c_85,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X0,sdtpldt0(X1,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f101]) ).
tcf(c_86,plain,
! [X0: $i,X1: $i] :
( aInteger0(sdtpldt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f102]) ).
tcf(c_87,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(X0,X1) = sdtasdt0(X1,X0) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f103]) ).
tcf(c_88,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X0,sdtasdt0(X1,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f104]) ).
tcf(c_89,plain,
! [X0: $i,X1: $i] :
( aInteger0(sdtasdt0(X0,X1))
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(cnf_transformation,[],[f105]) ).
tcf(c_108,plain,
! [X0: $i,X1: $i] :
( aDivisorOf0(X0,sdtasdt0(X0,X1))
| ( X0 = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(global_subsumption_just,[status(thm)],[c_71,c_89,c_71]) ).
tcf(c_1306,plain,
sdtasdt0(xa,sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_64]) ).
tcf(c_1307,plain,
sdtasdt0(xb,sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_64]) ).
tcf(c_1308,plain,
sdtasdt0(xp,sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_64]) ).
tcf(c_1309,plain,
sdtasdt0(xq,sz00) = sz00,
inference(superposition,[status(thm)],[c_53,c_64]) ).
tcf(c_1310,plain,
sdtasdt0(sK0,sz00) = sz00,
inference(superposition,[status(thm)],[c_56,c_64]) ).
tcf(c_1311,plain,
sdtasdt0(xm,sz00) = sz00,
inference(superposition,[status(thm)],[c_60,c_64]) ).
tcf(c_1312,plain,
sdtasdt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_68,c_64]) ).
tcf(c_1313,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),sz00) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_64]) ).
tcf(c_1321,plain,
sdtasdt0(sz00,xa) = sz00,
inference(superposition,[status(thm)],[c_49,c_65]) ).
tcf(c_1322,plain,
sdtasdt0(sz00,xb) = sz00,
inference(superposition,[status(thm)],[c_50,c_65]) ).
tcf(c_1323,plain,
sdtasdt0(sz00,xp) = sz00,
inference(superposition,[status(thm)],[c_51,c_65]) ).
tcf(c_1324,plain,
sdtasdt0(sz00,xq) = sz00,
inference(superposition,[status(thm)],[c_53,c_65]) ).
tcf(c_1325,plain,
sdtasdt0(sz00,sK0) = sz00,
inference(superposition,[status(thm)],[c_56,c_65]) ).
tcf(c_1326,plain,
sdtasdt0(sz00,xm) = sz00,
inference(superposition,[status(thm)],[c_60,c_65]) ).
tcf(c_1328,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,smndt0(X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_65]) ).
tcf(c_1336,plain,
sdtpldt0(xa,sz00) = xa,
inference(superposition,[status(thm)],[c_49,c_66]) ).
tcf(c_1337,plain,
sdtpldt0(xb,sz00) = xb,
inference(superposition,[status(thm)],[c_50,c_66]) ).
tcf(c_1338,plain,
sdtpldt0(xp,sz00) = xp,
inference(superposition,[status(thm)],[c_51,c_66]) ).
tcf(c_1339,plain,
sdtpldt0(xq,sz00) = xq,
inference(superposition,[status(thm)],[c_53,c_66]) ).
tcf(c_1340,plain,
sdtpldt0(sK0,sz00) = sK0,
inference(superposition,[status(thm)],[c_56,c_66]) ).
tcf(c_1341,plain,
sdtpldt0(xm,sz00) = xm,
inference(superposition,[status(thm)],[c_60,c_66]) ).
tcf(c_1342,plain,
sdtpldt0(sz00,sz00) = sz00,
inference(superposition,[status(thm)],[c_68,c_66]) ).
tcf(c_1343,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sz00) = smndt0(X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_66]) ).
tcf(c_1351,plain,
sdtpldt0(sz00,xa) = xa,
inference(superposition,[status(thm)],[c_49,c_67]) ).
tcf(c_1352,plain,
sdtpldt0(sz00,xb) = xb,
inference(superposition,[status(thm)],[c_50,c_67]) ).
tcf(c_1353,plain,
sdtpldt0(sz00,xp) = xp,
inference(superposition,[status(thm)],[c_51,c_67]) ).
tcf(c_1354,plain,
sdtpldt0(sz00,xq) = xq,
inference(superposition,[status(thm)],[c_53,c_67]) ).
tcf(c_1355,plain,
sdtpldt0(sz00,sK0) = sK0,
inference(superposition,[status(thm)],[c_56,c_67]) ).
tcf(c_1356,plain,
sdtpldt0(sz00,xm) = xm,
inference(superposition,[status(thm)],[c_60,c_67]) ).
tcf(c_1358,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,smndt0(X0)) = smndt0(X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_67]) ).
tcf(c_1368,plain,
( aInteger0(sdtasdt0(xp,xq))
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(superposition,[status(thm)],[c_58,c_72]) ).
tcf(c_1375,plain,
sdtpldt0(xa,smndt0(xa)) = sz00,
inference(superposition,[status(thm)],[c_49,c_76]) ).
tcf(c_1376,plain,
sdtpldt0(xb,smndt0(xb)) = sz00,
inference(superposition,[status(thm)],[c_50,c_76]) ).
tcf(c_1377,plain,
sdtpldt0(xp,smndt0(xp)) = sz00,
inference(superposition,[status(thm)],[c_51,c_76]) ).
tcf(c_1378,plain,
sdtpldt0(xq,smndt0(xq)) = sz00,
inference(superposition,[status(thm)],[c_53,c_76]) ).
tcf(c_1379,plain,
sdtpldt0(sK0,smndt0(sK0)) = sz00,
inference(superposition,[status(thm)],[c_56,c_76]) ).
tcf(c_1380,plain,
sdtpldt0(xm,smndt0(xm)) = sz00,
inference(superposition,[status(thm)],[c_60,c_76]) ).
tcf(c_1381,plain,
sdtpldt0(sz00,smndt0(sz00)) = sz00,
inference(superposition,[status(thm)],[c_68,c_76]) ).
tcf(c_1382,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),smndt0(smndt0(X0))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_76]) ).
tcf(c_1390,plain,
sdtpldt0(smndt0(xa),xa) = sz00,
inference(superposition,[status(thm)],[c_49,c_77]) ).
tcf(c_1391,plain,
sdtpldt0(smndt0(xb),xb) = sz00,
inference(superposition,[status(thm)],[c_50,c_77]) ).
tcf(c_1392,plain,
sdtpldt0(smndt0(xp),xp) = sz00,
inference(superposition,[status(thm)],[c_51,c_77]) ).
tcf(c_1393,plain,
sdtpldt0(smndt0(xq),xq) = sz00,
inference(superposition,[status(thm)],[c_53,c_77]) ).
tcf(c_1394,plain,
sdtpldt0(smndt0(sK0),sK0) = sz00,
inference(superposition,[status(thm)],[c_56,c_77]) ).
tcf(c_1395,plain,
sdtpldt0(smndt0(xm),xm) = sz00,
inference(superposition,[status(thm)],[c_60,c_77]) ).
tcf(c_1396,plain,
sdtpldt0(smndt0(sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_68,c_77]) ).
tcf(c_1397,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),smndt0(X0)) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_77]) ).
tcf(c_1422,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),sdtpldt0(X0,X1)) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_77]) ).
tcf(c_1423,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),smndt0(sdtpldt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_76]) ).
tcf(c_1424,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtpldt0(X0,X1)) = sdtpldt0(X0,X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_67]) ).
tcf(c_1425,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(X0,X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_66]) ).
tcf(c_1426,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtpldt0(X0,X1)) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_65]) ).
tcf(c_1427,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_64]) ).
tcf(c_1481,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),sdtasdt0(X0,X1)) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_77]) ).
tcf(c_1482,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),smndt0(sdtasdt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_76]) ).
tcf(c_1483,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sdtasdt0(X0,X1)) = sdtasdt0(X0,X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_67]) ).
tcf(c_1484,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtasdt0(X0,X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_66]) ).
tcf(c_1485,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sdtasdt0(X0,X1)) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_65]) ).
tcf(c_1486,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_64]) ).
tcf(c_1512,plain,
( aInteger0(sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(sK0)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_57,c_89]) ).
tcf(c_1513,plain,
( aInteger0(sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1512,c_56]) ).
tcf(c_1531,plain,
( aInteger0(sdtpldt0(xa,smndt0(xb)))
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_61,c_89]) ).
tcf(c_1539,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sK1(X1,X0)),sK1(X1,X0)) = sz00 )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_77]) ).
tcf(c_1540,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X1,X0),smndt0(sK1(X1,X0))) = sz00 )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_76]) ).
tcf(c_1541,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,sK1(X1,X0)) = sK1(X1,X0) )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_67]) ).
tcf(c_1542,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X1,X0),sz00) = sK1(X1,X0) )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_66]) ).
tcf(c_1543,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,sK1(X1,X0)) = sz00 )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_65]) ).
tcf(c_1544,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X1,X0),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_64]) ).
tcf(c_1585,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xa) = sdtpldt0(xa,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49,c_84]) ).
tcf(c_1586,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xb) = sdtpldt0(xb,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50,c_84]) ).
tcf(c_1587,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xp) = sdtpldt0(xp,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51,c_84]) ).
tcf(c_1588,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xq) = sdtpldt0(xq,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53,c_84]) ).
tcf(c_1589,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sK0) = sdtpldt0(sK0,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_56,c_84]) ).
tcf(c_1590,plain,
! [X0: $i] :
( ( sdtpldt0(X0,xm) = sdtpldt0(xm,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_60,c_84]) ).
tcf(c_1591,plain,
! [X0: $i] :
( ( sdtpldt0(X0,sz00) = sdtpldt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_68,c_84]) ).
tcf(c_1592,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),X2) = sdtpldt0(X2,sdtasdt0(X0,X1)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_84]) ).
tcf(c_1593,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sK1(X1,X0),X2) = sdtpldt0(X2,sK1(X1,X0)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_84]) ).
tcf(c_1594,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(X0),X1) = sdtpldt0(X1,smndt0(X0)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_84]) ).
tcf(c_1595,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),X2) = sdtpldt0(X2,sdtpldt0(X0,X1)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_84]) ).
tcf(c_1663,plain,
sdtasdt0(smndt0(xa),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_1313]) ).
tcf(c_1664,plain,
sdtasdt0(smndt0(xb),sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_1313]) ).
tcf(c_1665,plain,
sdtasdt0(smndt0(xp),sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_1313]) ).
tcf(c_1666,plain,
sdtasdt0(smndt0(xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_53,c_1313]) ).
tcf(c_1667,plain,
sdtasdt0(smndt0(sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_56,c_1313]) ).
tcf(c_1668,plain,
sdtasdt0(smndt0(xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_60,c_1313]) ).
tcf(c_1669,plain,
sdtasdt0(smndt0(sz00),sz00) = sz00,
inference(superposition,[status(thm)],[c_68,c_1313]) ).
tcf(c_1670,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtasdt0(X0,X1)),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_1313]) ).
tcf(c_1671,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sK1(X1,X0)),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_1313]) ).
tcf(c_1672,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(X0)),sz00) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1313]) ).
tcf(c_1673,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(sdtpldt0(X0,X1)),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_1313]) ).
tcf(c_1701,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xa) = sdtasdt0(xa,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49,c_87]) ).
tcf(c_1702,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xb) = sdtasdt0(xb,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50,c_87]) ).
tcf(c_1703,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xp) = sdtasdt0(xp,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51,c_87]) ).
tcf(c_1704,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xq) = sdtasdt0(xq,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53,c_87]) ).
tcf(c_1705,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sK0) = sdtasdt0(sK0,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_56,c_87]) ).
tcf(c_1706,plain,
! [X0: $i] :
( ( sdtasdt0(X0,xm) = sdtasdt0(xm,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_60,c_87]) ).
tcf(c_1707,plain,
! [X0: $i] :
( ( sdtasdt0(X0,sz00) = sdtasdt0(sz00,X0) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_68,c_87]) ).
tcf(c_1708,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),X2) = sdtasdt0(X2,sdtasdt0(X0,X1)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_87]) ).
tcf(c_1709,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sK1(X1,X0),X2) = sdtasdt0(X2,sK1(X1,X0)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_87]) ).
tcf(c_1710,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(X0),X1) = sdtasdt0(X1,smndt0(X0)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_87]) ).
tcf(c_1711,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),X2) = sdtasdt0(X2,sdtpldt0(X0,X1)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_87]) ).
tcf(c_1771,plain,
( ( sdtasdt0(sdtasdt0(xp,xq),sK1(sdtpldt0(xa,smndt0(xb)),sdtasdt0(xp,xq))) = sdtpldt0(xa,smndt0(xb)) )
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(superposition,[status(thm)],[c_58,c_75]) ).
tcf(c_1791,plain,
( aDivisorOf0(xa,sz00)
| ( xa = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_1306,c_108]) ).
tcf(c_1792,plain,
( aDivisorOf0(xb,sz00)
| ( xb = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(xb) ),
inference(superposition,[status(thm)],[c_1307,c_108]) ).
tcf(c_1793,plain,
( aDivisorOf0(xp,sz00)
| ( xp = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_1308,c_108]) ).
tcf(c_1794,plain,
( aDivisorOf0(xq,sz00)
| ( sz00 = xq )
| ~ aInteger0(xq)
| ~ aInteger0(sz00) ),
inference(superposition,[status(thm)],[c_1309,c_108]) ).
tcf(c_1795,plain,
( aDivisorOf0(sK0,sz00)
| ( sz00 = sK0 )
| ~ aInteger0(sK0)
| ~ aInteger0(sz00) ),
inference(superposition,[status(thm)],[c_1310,c_108]) ).
tcf(c_1796,plain,
( aDivisorOf0(xm,sz00)
| ( sz00 = xm )
| ~ aInteger0(xm)
| ~ aInteger0(sz00) ),
inference(superposition,[status(thm)],[c_1311,c_108]) ).
tcf(c_1797,plain,
( aDivisorOf0(smndt0(sz00),sz00)
| ( smndt0(sz00) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sz00)) ),
inference(superposition,[status(thm)],[c_1669,c_108]) ).
tcf(c_1804,plain,
( aDivisorOf0(smndt0(xa),sz00)
| ( smndt0(xa) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(xa)) ),
inference(superposition,[status(thm)],[c_1663,c_108]) ).
tcf(c_1805,plain,
( aDivisorOf0(smndt0(xb),sz00)
| ( smndt0(xb) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(xb)) ),
inference(superposition,[status(thm)],[c_1664,c_108]) ).
tcf(c_1806,plain,
( aDivisorOf0(smndt0(xp),sz00)
| ( smndt0(xp) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(xp)) ),
inference(superposition,[status(thm)],[c_1665,c_108]) ).
tcf(c_1807,plain,
( aDivisorOf0(smndt0(xq),sz00)
| ( smndt0(xq) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(xq)) ),
inference(superposition,[status(thm)],[c_1666,c_108]) ).
tcf(c_1808,plain,
( aDivisorOf0(smndt0(sK0),sz00)
| ( smndt0(sK0) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sK0)) ),
inference(superposition,[status(thm)],[c_1667,c_108]) ).
tcf(c_1809,plain,
( aDivisorOf0(smndt0(xm),sz00)
| ( smndt0(xm) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(xm)) ),
inference(superposition,[status(thm)],[c_1668,c_108]) ).
tcf(c_1810,plain,
! [X0: $i,X1: $i] :
( ( X0 = sz00 )
| ( sdtasdt0(X0,sK1(sdtasdt0(X0,X1),X0)) = sdtasdt0(X0,X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aInteger0(sdtasdt0(X0,X1)) ),
inference(superposition,[status(thm)],[c_108,c_75]) ).
tcf(c_1813,plain,
( aDivisorOf0(xm,sz00)
| ( sz00 = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1796,c_60,c_68]) ).
tcf(c_1816,plain,
( aDivisorOf0(sK0,sz00)
| ( sz00 = sK0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1795,c_56,c_68]) ).
tcf(c_1819,plain,
aDivisorOf0(xq,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_1794,c_54,c_53,c_68]) ).
tcf(c_1820,plain,
aDivisorOf0(xp,sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_1793,c_52,c_68,c_51]) ).
tcf(c_1821,plain,
( aDivisorOf0(xb,sz00)
| ( xb = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1792,c_68,c_50]) ).
tcf(c_1824,plain,
( aDivisorOf0(xa,sz00)
| ( xa = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1791,c_68,c_49]) ).
tcf(c_1827,plain,
( aDivisorOf0(smndt0(xm),sz00)
| ( smndt0(xm) = sz00 )
| ~ aInteger0(smndt0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1809,c_68]) ).
tcf(c_1831,plain,
( aDivisorOf0(smndt0(sK0),sz00)
| ( smndt0(sK0) = sz00 )
| ~ aInteger0(smndt0(sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1808,c_68]) ).
tcf(c_1835,plain,
( aDivisorOf0(smndt0(xq),sz00)
| ( smndt0(xq) = sz00 )
| ~ aInteger0(smndt0(xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1807,c_68]) ).
tcf(c_1839,plain,
( aDivisorOf0(smndt0(xp),sz00)
| ( smndt0(xp) = sz00 )
| ~ aInteger0(smndt0(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1806,c_68]) ).
tcf(c_1843,plain,
( aDivisorOf0(smndt0(xb),sz00)
| ( smndt0(xb) = sz00 )
| ~ aInteger0(smndt0(xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1805,c_68]) ).
tcf(c_1847,plain,
( aDivisorOf0(smndt0(xa),sz00)
| ( smndt0(xa) = sz00 )
| ~ aInteger0(smndt0(xa)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1804,c_68]) ).
tcf(c_1851,plain,
( aDivisorOf0(smndt0(sz00),sz00)
| ( smndt0(sz00) = sz00 )
| ~ aInteger0(smndt0(sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1797,c_68]) ).
tcf(c_1863,plain,
( aInteger0(sdtasdt0(xp,xq))
| ~ aInteger0(xq)
| ~ aInteger0(xp) ),
inference(instantiation,[status(thm)],[c_89]) ).
tcf(c_1884,plain,
( ( sz00 = sK0 )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aInteger0(sK0)
| ~ aInteger0(sdtasdt0(xp,xq))
| ( sdtpldt0(xa,smndt0(xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_57,c_63]) ).
tcf(c_1885,plain,
( ( sz00 = xm )
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sdtasdt0(xp,xq))
| ( sdtpldt0(xa,smndt0(xb)) != sz00 ) ),
inference(superposition,[status(thm)],[c_61,c_63]) ).
tcf(c_1906,plain,
( ( sz00 = xm )
| ~ aInteger0(sdtasdt0(xp,xq))
| ( sdtpldt0(xa,smndt0(xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1885,c_55,c_60]) ).
tcf(c_1910,plain,
( ( sz00 = sK0 )
| ~ aInteger0(sdtasdt0(xp,xq))
| ( sdtpldt0(xa,smndt0(xb)) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1884,c_55,c_56]) ).
tcf(c_1914,plain,
( ( sdtasdt0(xq,sK1(sz00,xq)) = sz00 )
| ~ aInteger0(sz00) ),
inference(superposition,[status(thm)],[c_1819,c_75]) ).
tcf(c_1916,plain,
sdtasdt0(xq,sK1(sz00,xq)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_1914,c_68]) ).
tcf(c_1928,plain,
( ( sdtasdt0(xp,sK1(sz00,xp)) = sz00 )
| ~ aInteger0(sz00) ),
inference(superposition,[status(thm)],[c_1820,c_75]) ).
tcf(c_1930,plain,
sdtasdt0(xp,sK1(sz00,xp)) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_1928,c_68]) ).
tcf(c_1935,plain,
( ( sz00 = xm )
| ( sdtasdt0(xm,sK1(sz00,xm)) = sz00 )
| ~ aInteger0(sz00) ),
inference(superposition,[status(thm)],[c_1813,c_75]) ).
tcf(c_1937,plain,
( ( sz00 = xm )
| ( sdtasdt0(xm,sK1(sz00,xm)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1935,c_68]) ).
tcf(c_1944,plain,
( ( sz00 = sK0 )
| ( sdtasdt0(sK0,sK1(sz00,sK0)) = sz00 )
| ~ aInteger0(sz00) ),
inference(superposition,[status(thm)],[c_1816,c_75]) ).
tcf(c_1946,plain,
( ( sz00 = sK0 )
| ( sdtasdt0(sK0,sK1(sz00,sK0)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1944,c_68]) ).
tcf(c_1953,plain,
( ( xb = sz00 )
| ( sdtasdt0(xb,sK1(sz00,xb)) = sz00 )
| ~ aInteger0(sz00) ),
inference(superposition,[status(thm)],[c_1821,c_75]) ).
tcf(c_1955,plain,
( ( xb = sz00 )
| ( sdtasdt0(xb,sK1(sz00,xb)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1953,c_68]) ).
tcf(c_1962,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,sK1(sz00,xa)) = sz00 )
| ~ aInteger0(sz00) ),
inference(superposition,[status(thm)],[c_1824,c_75]) ).
tcf(c_1964,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,sK1(sz00,xa)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1962,c_68]) ).
tcf(c_1967,plain,
( ( sz00 = xq )
| ( sK1(sz00,xq) = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sK1(sz00,xq)) ),
inference(superposition,[status(thm)],[c_1916,c_63]) ).
tcf(c_1970,plain,
( ( sK1(sz00,xq) = sz00 )
| ~ aInteger0(sK1(sz00,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1967,c_54,c_53]) ).
tcf(c_1973,plain,
( ( xp = sz00 )
| ( sK1(sz00,xp) = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(sK1(sz00,xp)) ),
inference(superposition,[status(thm)],[c_1930,c_63]) ).
tcf(c_1976,plain,
( ( sK1(sz00,xp) = sz00 )
| ~ aInteger0(sK1(sz00,xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_1973,c_52,c_51]) ).
tcf(c_1983,plain,
sdtasdt0(sz00,smndt0(xa)) = sz00,
inference(superposition,[status(thm)],[c_49,c_1328]) ).
tcf(c_1984,plain,
sdtasdt0(sz00,smndt0(xb)) = sz00,
inference(superposition,[status(thm)],[c_50,c_1328]) ).
tcf(c_1985,plain,
sdtasdt0(sz00,smndt0(xp)) = sz00,
inference(superposition,[status(thm)],[c_51,c_1328]) ).
tcf(c_1986,plain,
sdtasdt0(sz00,smndt0(xq)) = sz00,
inference(superposition,[status(thm)],[c_53,c_1328]) ).
tcf(c_1987,plain,
sdtasdt0(sz00,smndt0(sK0)) = sz00,
inference(superposition,[status(thm)],[c_56,c_1328]) ).
tcf(c_1988,plain,
sdtasdt0(sz00,smndt0(xm)) = sz00,
inference(superposition,[status(thm)],[c_60,c_1328]) ).
tcf(c_1989,plain,
sdtasdt0(sz00,smndt0(sz00)) = sz00,
inference(superposition,[status(thm)],[c_68,c_1328]) ).
tcf(c_1990,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(sdtasdt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_1328]) ).
tcf(c_1991,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(sK1(X1,X0))) = sz00 )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_1328]) ).
tcf(c_1992,plain,
! [X0: $i] :
( ( sdtasdt0(sz00,smndt0(smndt0(X0))) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1328]) ).
tcf(c_1993,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sz00,smndt0(sdtpldt0(X0,X1))) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_1328]) ).
tcf(c_2058,plain,
( ( sz00 = xm )
| ( sK1(sz00,xm) = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sK1(sz00,xm)) ),
inference(superposition,[status(thm)],[c_1937,c_63]) ).
tcf(c_2061,plain,
( ( sz00 = xm )
| ( sK1(sz00,xm) = sz00 )
| ~ aInteger0(sK1(sz00,xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2058,c_60]) ).
tcf(c_2073,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xa,X0),X1) = sdtpldt0(xa,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49,c_85]) ).
tcf(c_2074,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xb,X0),X1) = sdtpldt0(xb,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50,c_85]) ).
tcf(c_2075,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xp,X0),X1) = sdtpldt0(xp,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51,c_85]) ).
tcf(c_2076,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xq,X0),X1) = sdtpldt0(xq,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53,c_85]) ).
tcf(c_2077,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sK0,X0),X1) = sdtpldt0(sK0,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_56,c_85]) ).
tcf(c_2078,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(xm,X0),X1) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_60,c_85]) ).
tcf(c_2079,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sz00,X0),X1) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_68,c_85]) ).
tcf(c_2080,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) = sdtpldt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_85]) ).
tcf(c_2081,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sK1(X1,X0),X2),X3) = sdtpldt0(sK1(X1,X0),sdtpldt0(X2,X3)) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_85]) ).
tcf(c_2082,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtpldt0(smndt0(X0),X1),X2) = sdtpldt0(smndt0(X0),sdtpldt0(X1,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_85]) ).
tcf(c_2083,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) = sdtpldt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_85]) ).
tcf(c_2166,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xa,X0),X1) = sdtasdt0(xa,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49,c_88]) ).
tcf(c_2167,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xb,X0),X1) = sdtasdt0(xb,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50,c_88]) ).
tcf(c_2168,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xp,X0),X1) = sdtasdt0(xp,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51,c_88]) ).
tcf(c_2169,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xq,X0),X1) = sdtasdt0(xq,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53,c_88]) ).
tcf(c_2170,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sK0,X0),X1) = sdtasdt0(sK0,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_56,c_88]) ).
tcf(c_2171,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(xm,X0),X1) = sdtasdt0(xm,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_60,c_88]) ).
tcf(c_2172,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sz00,X0),X1) = sdtasdt0(sz00,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_68,c_88]) ).
tcf(c_2173,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(X0,X1),X2),X3) = sdtasdt0(sdtasdt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_88]) ).
tcf(c_2174,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sK1(X1,X0),X2),X3) = sdtasdt0(sK1(X1,X0),sdtasdt0(X2,X3)) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_88]) ).
tcf(c_2175,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtasdt0(sdtasdt0(smndt0(X0),X1),X2) = sdtasdt0(smndt0(X0),sdtasdt0(X1,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_88]) ).
tcf(c_2176,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(X0,X1),X2),X3) = sdtasdt0(sdtpldt0(X0,X1),sdtasdt0(X2,X3)) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_88]) ).
tcf(c_2238,plain,
( sdteqdtlpzmzozddtrp0(xb,xa,sdtasdt0(xp,xq))
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59,c_80]) ).
tcf(c_2240,plain,
( sdteqdtlpzmzozddtrp0(xb,xa,sdtasdt0(xp,xq))
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2238,c_55,c_50,c_49]) ).
tcf(c_2265,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xa,X0),sdtasdt0(xa,X1)) = sdtasdt0(xa,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49,c_82]) ).
tcf(c_2266,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xb,X0),sdtasdt0(xb,X1)) = sdtasdt0(xb,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50,c_82]) ).
tcf(c_2267,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xp,X0),sdtasdt0(xp,X1)) = sdtasdt0(xp,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51,c_82]) ).
tcf(c_2268,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xq,X0),sdtasdt0(xq,X1)) = sdtasdt0(xq,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53,c_82]) ).
tcf(c_2269,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK0,X0),sdtasdt0(sK0,X1)) = sdtasdt0(sK0,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_56,c_82]) ).
tcf(c_2270,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xm,X0),sdtasdt0(xm,X1)) = sdtasdt0(xm,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_60,c_82]) ).
tcf(c_2271,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X0),sdtasdt0(sz00,X1)) = sdtasdt0(sz00,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_68,c_82]) ).
tcf(c_2272,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X2),sdtasdt0(sdtasdt0(X0,X1),X3)) = sdtasdt0(sdtasdt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_82]) ).
tcf(c_2273,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK1(X1,X0),X2),sdtasdt0(sK1(X1,X0),X3)) = sdtasdt0(sK1(X1,X0),sdtpldt0(X2,X3)) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_82]) ).
tcf(c_2274,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(X0),X1),sdtasdt0(smndt0(X0),X2)) = sdtasdt0(smndt0(X0),sdtpldt0(X1,X2)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_82]) ).
tcf(c_2275,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X2),sdtasdt0(sdtpldt0(X0,X1),X3)) = sdtasdt0(sdtpldt0(X0,X1),sdtpldt0(X2,X3)) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_82]) ).
tcf(c_2351,plain,
aInteger0(sdtasdt0(xp,xq)),
inference(global_subsumption_just,[status(thm)],[c_1368,c_53,c_51,c_1863]) ).
tcf(c_2353,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xq),X0),sdtasdt0(sdtasdt0(xp,xq),X1)) = sdtasdt0(sdtasdt0(xp,xq),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2351,c_82]) ).
tcf(c_2354,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,xq),X0),X1) = sdtasdt0(sdtasdt0(xp,xq),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2351,c_88]) ).
tcf(c_2355,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,xq),X0),X1) = sdtpldt0(sdtasdt0(xp,xq),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2351,c_85]) ).
tcf(c_2356,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_2351,c_1328]) ).
tcf(c_2357,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xq),X0) = sdtasdt0(X0,sdtasdt0(xp,xq)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2351,c_87]) ).
tcf(c_2358,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2351,c_1313]) ).
tcf(c_2359,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xq),X0) = sdtpldt0(X0,sdtasdt0(xp,xq)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2351,c_84]) ).
tcf(c_2360,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xq)),sdtasdt0(xp,xq)) = sz00,
inference(superposition,[status(thm)],[c_2351,c_77]) ).
tcf(c_2361,plain,
sdtpldt0(sdtasdt0(xp,xq),smndt0(sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_2351,c_76]) ).
tcf(c_2362,plain,
sdtpldt0(sz00,sdtasdt0(xp,xq)) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_2351,c_67]) ).
tcf(c_2363,plain,
sdtpldt0(sdtasdt0(xp,xq),sz00) = sdtasdt0(xp,xq),
inference(superposition,[status(thm)],[c_2351,c_66]) ).
tcf(c_2364,plain,
sdtasdt0(sz00,sdtasdt0(xp,xq)) = sz00,
inference(superposition,[status(thm)],[c_2351,c_65]) ).
tcf(c_2365,plain,
sdtasdt0(sdtasdt0(xp,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_2351,c_64]) ).
tcf(c_2401,plain,
( aDivisorOf0(sdtasdt0(xp,xq),sz00)
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_2365,c_108]) ).
tcf(c_2403,plain,
aDivisorOf0(sdtasdt0(xp,xq),sz00),
inference(forward_subsumption_resolution,[status(thm)],[c_2401,c_55,c_68,c_2351]) ).
tcf(c_2419,plain,
( ( sdtasdt0(sdtasdt0(xp,xq),sK1(sz00,sdtasdt0(xp,xq))) = sz00 )
| ~ aInteger0(sz00) ),
inference(superposition,[status(thm)],[c_2403,c_75]) ).
tcf(c_2421,plain,
sdtasdt0(sdtasdt0(xp,xq),sK1(sz00,sdtasdt0(xp,xq))) = sz00,
inference(forward_subsumption_resolution,[status(thm)],[c_2419,c_68]) ).
tcf(c_2427,plain,
( aDivisorOf0(smndt0(sdtasdt0(xp,xq)),sz00)
| ( smndt0(sdtasdt0(xp,xq)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtasdt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_2358,c_108]) ).
tcf(c_2429,plain,
( aDivisorOf0(smndt0(sdtasdt0(xp,xq)),sz00)
| ( smndt0(sdtasdt0(xp,xq)) = sz00 )
| ~ aInteger0(smndt0(sdtasdt0(xp,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2427,c_68]) ).
tcf(c_2447,plain,
aInteger0(sdtpldt0(xa,smndt0(xb))),
inference(global_subsumption_just,[status(thm)],[c_1513,c_53,c_51,c_1513,c_1863]) ).
tcf(c_2449,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,smndt0(xb)),X0),sdtasdt0(sdtpldt0(xa,smndt0(xb)),X1)) = sdtasdt0(sdtpldt0(xa,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2447,c_82]) ).
tcf(c_2450,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,smndt0(xb)),X0),X1) = sdtasdt0(sdtpldt0(xa,smndt0(xb)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2447,c_88]) ).
tcf(c_2451,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,smndt0(xb)),X0),X1) = sdtpldt0(sdtpldt0(xa,smndt0(xb)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2447,c_85]) ).
tcf(c_2452,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_2447,c_1328]) ).
tcf(c_2453,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,smndt0(xb)),X0) = sdtasdt0(X0,sdtpldt0(xa,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2447,c_87]) ).
tcf(c_2454,plain,
sdtasdt0(smndt0(sdtpldt0(xa,smndt0(xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2447,c_1313]) ).
tcf(c_2455,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,smndt0(xb)),X0) = sdtpldt0(X0,sdtpldt0(xa,smndt0(xb))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2447,c_84]) ).
tcf(c_2456,plain,
sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xb))),sdtpldt0(xa,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_2447,c_77]) ).
tcf(c_2457,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),smndt0(sdtpldt0(xa,smndt0(xb)))) = sz00,
inference(superposition,[status(thm)],[c_2447,c_76]) ).
tcf(c_2458,plain,
sdtpldt0(sz00,sdtpldt0(xa,smndt0(xb))) = sdtpldt0(xa,smndt0(xb)),
inference(superposition,[status(thm)],[c_2447,c_67]) ).
tcf(c_2459,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),sz00) = sdtpldt0(xa,smndt0(xb)),
inference(superposition,[status(thm)],[c_2447,c_66]) ).
tcf(c_2460,plain,
sdtasdt0(sz00,sdtpldt0(xa,smndt0(xb))) = sz00,
inference(superposition,[status(thm)],[c_2447,c_65]) ).
tcf(c_2461,plain,
sdtasdt0(sdtpldt0(xa,smndt0(xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_2447,c_64]) ).
tcf(c_2495,plain,
( ( sz00 = sK0 )
| ( sK1(sz00,sK0) = sz00 )
| ~ aInteger0(sK0)
| ~ aInteger0(sK1(sz00,sK0)) ),
inference(superposition,[status(thm)],[c_1946,c_63]) ).
tcf(c_2498,plain,
( ( sz00 = sK0 )
| ( sK1(sz00,sK0) = sz00 )
| ~ aInteger0(sK1(sz00,sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2495,c_56]) ).
tcf(c_2510,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xa,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xa,X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_49,c_83]) ).
tcf(c_2511,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xb,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xb,X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_50,c_83]) ).
tcf(c_2512,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xp,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xp,X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_51,c_83]) ).
tcf(c_2513,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xq,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xq,X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_53,c_83]) ).
tcf(c_2514,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sK0,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sK0,X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_56,c_83]) ).
tcf(c_2515,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(xm,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(xm,X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_60,c_83]) ).
tcf(c_2516,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sz00,X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sz00,X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_68,c_83]) ).
tcf(c_2517,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(X0,X1),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sdtasdt0(X0,X1),X2),X3) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_83]) ).
tcf(c_2518,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sK1(X1,X0),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sK1(X1,X0),X2),X3) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_83]) ).
tcf(c_2519,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( sdtpldt0(sdtasdt0(smndt0(X0),X2),sdtasdt0(X1,X2)) = sdtasdt0(sdtpldt0(smndt0(X0),X1),X2) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_83]) ).
tcf(c_2520,plain,
! [X0: $i,X1: $i,X2: $i,X3: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(X0,X1),X3),sdtasdt0(X2,X3)) = sdtasdt0(sdtpldt0(sdtpldt0(X0,X1),X2),X3) )
| ~ aInteger0(X3)
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_83]) ).
tcf(c_2521,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xq),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,xq),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2351,c_83]) ).
tcf(c_2522,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,smndt0(xb)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,smndt0(xb)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_2447,c_83]) ).
tcf(c_2623,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,sz00,X0)
| ( X0 = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(superposition,[status(thm)],[c_1381,c_69]) ).
tcf(c_2624,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(xa,xa,X0)
| ( X0 = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(superposition,[status(thm)],[c_1375,c_69]) ).
tcf(c_2625,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(xb,xb,X0)
| ( X0 = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(superposition,[status(thm)],[c_1376,c_69]) ).
tcf(c_2626,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(xp,xp,X0)
| ( X0 = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(superposition,[status(thm)],[c_1377,c_69]) ).
tcf(c_2627,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(xq,xq,X0)
| ( X0 = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(superposition,[status(thm)],[c_1378,c_69]) ).
tcf(c_2628,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sK0,sK0,X0)
| ( X0 = sz00 )
| ~ aInteger0(sK0)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(superposition,[status(thm)],[c_1379,c_69]) ).
tcf(c_2629,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(xm,xm,X0)
| ( X0 = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(superposition,[status(thm)],[c_1380,c_69]) ).
tcf(c_2630,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(xm,xm,X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2629,c_60]) ).
tcf(c_2635,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sK0,sK0,X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2628,c_56]) ).
tcf(c_2640,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(xq,xq,X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2627,c_53]) ).
tcf(c_2645,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(xp,xp,X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2626,c_51]) ).
tcf(c_2650,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(xb,xb,X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2625,c_50]) ).
tcf(c_2655,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(xa,xa,X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2624,c_49]) ).
tcf(c_2660,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,sz00,X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2623,c_68]) ).
tcf(c_2715,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,sz00,X0) ),
inference(superposition,[status(thm)],[c_1381,c_70]) ).
tcf(c_2716,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(xa,xa,X0) ),
inference(superposition,[status(thm)],[c_1375,c_70]) ).
tcf(c_2717,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(xb,xb,X0) ),
inference(superposition,[status(thm)],[c_1376,c_70]) ).
tcf(c_2718,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(xp,xp,X0) ),
inference(superposition,[status(thm)],[c_1377,c_70]) ).
tcf(c_2719,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(xq,xq,X0) ),
inference(superposition,[status(thm)],[c_1378,c_70]) ).
tcf(c_2720,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(sK0)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sK0,sK0,X0) ),
inference(superposition,[status(thm)],[c_1379,c_70]) ).
tcf(c_2721,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(xm,xm,X0) ),
inference(superposition,[status(thm)],[c_1380,c_70]) ).
tcf(c_2723,plain,
! [X0: $i,X1: $i,X2: $i] :
( ( X2 = sz00 )
| ( sdtasdt0(X2,sK1(sdtpldt0(X0,smndt0(X1)),X2)) = sdtpldt0(X0,smndt0(X1)) )
| ~ aInteger0(X2)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,X1,X2)
| ~ aInteger0(sdtpldt0(X0,smndt0(X1))) ),
inference(superposition,[status(thm)],[c_70,c_75]) ).
tcf(c_2726,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(xm,xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2721,c_60]) ).
tcf(c_2731,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sK0,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2720,c_56]) ).
tcf(c_2736,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(xq,xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2719,c_53]) ).
tcf(c_2741,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(xp,xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2718,c_51]) ).
tcf(c_2746,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(xb,xb,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2717,c_50]) ).
tcf(c_2751,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(xa,xa,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2716,c_49]) ).
tcf(c_2756,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,sz00,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2715,c_68]) ).
tcf(c_2797,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(xa,X0,sdtasdt0(xp,xq))
| ( sdtasdt0(xp,xq) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(xa)
| ~ aInteger0(X0)
| ~ aInteger0(sdtasdt0(xp,xq))
| ~ sdteqdtlpzmzozddtrp0(xb,X0,sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_59,c_79]) ).
tcf(c_2799,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(xa,X0,sdtasdt0(xp,xq))
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(xb,X0,sdtasdt0(xp,xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2797,c_55,c_50,c_49,c_2351]) ).
tcf(c_2805,plain,
( aDivisorOf0(sdtpldt0(xa,smndt0(xb)),sz00)
| ( sdtpldt0(xa,smndt0(xb)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(superposition,[status(thm)],[c_2461,c_108]) ).
tcf(c_2807,plain,
( aDivisorOf0(sdtpldt0(xa,smndt0(xb)),sz00)
| ( sdtpldt0(xa,smndt0(xb)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2805,c_68,c_2447]) ).
tcf(c_2816,plain,
( aDivisorOf0(smndt0(sdtpldt0(xa,smndt0(xb))),sz00)
| ( smndt0(sdtpldt0(xa,smndt0(xb))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xa,smndt0(xb)))) ),
inference(superposition,[status(thm)],[c_2454,c_108]) ).
tcf(c_2818,plain,
( aDivisorOf0(smndt0(sdtpldt0(xa,smndt0(xb))),sz00)
| ( smndt0(sdtpldt0(xa,smndt0(xb))) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xa,smndt0(xb)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2816,c_68]) ).
tcf(c_2826,plain,
sdtpldt0(smndt0(xa),sz00) = smndt0(xa),
inference(superposition,[status(thm)],[c_49,c_1343]) ).
tcf(c_2827,plain,
sdtpldt0(smndt0(xb),sz00) = smndt0(xb),
inference(superposition,[status(thm)],[c_50,c_1343]) ).
tcf(c_2828,plain,
sdtpldt0(smndt0(xp),sz00) = smndt0(xp),
inference(superposition,[status(thm)],[c_51,c_1343]) ).
tcf(c_2829,plain,
sdtpldt0(smndt0(xq),sz00) = smndt0(xq),
inference(superposition,[status(thm)],[c_53,c_1343]) ).
tcf(c_2830,plain,
sdtpldt0(smndt0(sK0),sz00) = smndt0(sK0),
inference(superposition,[status(thm)],[c_56,c_1343]) ).
tcf(c_2831,plain,
sdtpldt0(smndt0(xm),sz00) = smndt0(xm),
inference(superposition,[status(thm)],[c_60,c_1343]) ).
tcf(c_2832,plain,
sdtpldt0(smndt0(sz00),sz00) = smndt0(sz00),
inference(superposition,[status(thm)],[c_68,c_1343]) ).
tcf(c_2833,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtasdt0(X0,X1)),sz00) = smndt0(sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_1343]) ).
tcf(c_2834,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sK1(X1,X0)),sz00) = smndt0(sK1(X1,X0)) )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_1343]) ).
tcf(c_2835,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(smndt0(X0)),sz00) = smndt0(smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1343]) ).
tcf(c_2836,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(smndt0(sdtpldt0(X0,X1)),sz00) = smndt0(sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_1343]) ).
tcf(c_2837,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xq)),sz00) = smndt0(sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2351,c_1343]) ).
tcf(c_2838,plain,
sdtpldt0(smndt0(sdtpldt0(xa,smndt0(xb))),sz00) = smndt0(sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_2447,c_1343]) ).
tcf(c_2839,plain,
smndt0(sz00) = sz00,
inference(light_normalisation,[status(thm)],[c_2832,c_1396]) ).
tcf(c_2878,plain,
! [X0: $i,X1: $i] :
( aDivisorOf0(X1,sdtpldt0(X0,sz00))
| ( X1 = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,sz00,X1) ),
inference(superposition,[status(thm)],[c_2839,c_70]) ).
tcf(c_2879,plain,
! [X0: $i,X1: $i] :
( sdteqdtlpzmzozddtrp0(X1,sz00,X0)
| ( X0 = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sdtpldt0(X1,sz00)) ),
inference(superposition,[status(thm)],[c_2839,c_69]) ).
tcf(c_2881,plain,
! [X0: $i,X1: $i] :
( sdteqdtlpzmzozddtrp0(X1,sz00,X0)
| ( X0 = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sdtpldt0(X1,sz00)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2879,c_68]) ).
tcf(c_2887,plain,
! [X0: $i,X1: $i] :
( aDivisorOf0(X1,sdtpldt0(X0,sz00))
| ( X1 = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(X0,sz00,X1) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2878,c_68]) ).
tcf(c_2902,plain,
( ( xb = sz00 )
| ( sK1(sz00,xb) = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(sK1(sz00,xb)) ),
inference(superposition,[status(thm)],[c_1955,c_63]) ).
tcf(c_2905,plain,
( ( xb = sz00 )
| ( sK1(sz00,xb) = sz00 )
| ~ aInteger0(sK1(sz00,xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2902,c_50]) ).
tcf(c_2914,plain,
sdtpldt0(sz00,smndt0(xa)) = smndt0(xa),
inference(superposition,[status(thm)],[c_49,c_1358]) ).
tcf(c_2915,plain,
sdtpldt0(sz00,smndt0(xb)) = smndt0(xb),
inference(superposition,[status(thm)],[c_50,c_1358]) ).
tcf(c_2916,plain,
sdtpldt0(sz00,smndt0(xp)) = smndt0(xp),
inference(superposition,[status(thm)],[c_51,c_1358]) ).
tcf(c_2917,plain,
sdtpldt0(sz00,smndt0(xq)) = smndt0(xq),
inference(superposition,[status(thm)],[c_53,c_1358]) ).
tcf(c_2918,plain,
sdtpldt0(sz00,smndt0(sK0)) = smndt0(sK0),
inference(superposition,[status(thm)],[c_56,c_1358]) ).
tcf(c_2919,plain,
sdtpldt0(sz00,smndt0(xm)) = smndt0(xm),
inference(superposition,[status(thm)],[c_60,c_1358]) ).
tcf(c_2920,plain,
sdtpldt0(sz00,smndt0(sz00)) = smndt0(sz00),
inference(superposition,[status(thm)],[c_68,c_1358]) ).
tcf(c_2921,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,smndt0(sdtasdt0(X0,X1))) = smndt0(sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_1358]) ).
tcf(c_2922,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,smndt0(sK1(X1,X0))) = smndt0(sK1(X1,X0)) )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_1358]) ).
tcf(c_2923,plain,
! [X0: $i] :
( ( sdtpldt0(sz00,smndt0(smndt0(X0))) = smndt0(smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1358]) ).
tcf(c_2924,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sz00,smndt0(sdtpldt0(X0,X1))) = smndt0(sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_1358]) ).
tcf(c_2925,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,xq))) = smndt0(sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2351,c_1358]) ).
tcf(c_2926,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,smndt0(xb)))) = smndt0(sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_2447,c_1358]) ).
tcf(c_2979,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(xa))
| ( X0 = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(xa)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,xa,X0) ),
inference(superposition,[status(thm)],[c_2914,c_70]) ).
tcf(c_2980,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,xa,X0)
| ( X0 = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(xa)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,smndt0(xa)) ),
inference(superposition,[status(thm)],[c_2914,c_69]) ).
tcf(c_2982,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,xa,X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,smndt0(xa)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2980,c_68,c_49]) ).
tcf(c_2987,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(xa))
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,xa,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2979,c_68,c_49]) ).
tcf(c_2992,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(xb))
| ( X0 = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(xb)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,xb,X0) ),
inference(superposition,[status(thm)],[c_2915,c_70]) ).
tcf(c_2993,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,xb,X0)
| ( X0 = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(xb)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,smndt0(xb)) ),
inference(superposition,[status(thm)],[c_2915,c_69]) ).
tcf(c_2995,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,xb,X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,smndt0(xb)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2993,c_68,c_50]) ).
tcf(c_3000,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(xb))
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,xb,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_2992,c_68,c_50]) ).
tcf(c_3005,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(xp))
| ( X0 = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(xp)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,xp,X0) ),
inference(superposition,[status(thm)],[c_2916,c_70]) ).
tcf(c_3006,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,xp,X0)
| ( X0 = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(xp)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,smndt0(xp)) ),
inference(superposition,[status(thm)],[c_2916,c_69]) ).
tcf(c_3008,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,xp,X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,smndt0(xp)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3006,c_68,c_51]) ).
tcf(c_3013,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(xp))
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,xp,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3005,c_68,c_51]) ).
tcf(c_3018,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(xq))
| ( X0 = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sz00)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,xq,X0) ),
inference(superposition,[status(thm)],[c_2917,c_70]) ).
tcf(c_3019,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,xq,X0)
| ( X0 = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(sz00)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,smndt0(xq)) ),
inference(superposition,[status(thm)],[c_2917,c_69]) ).
tcf(c_3021,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,xq,X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,smndt0(xq)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3019,c_53,c_68]) ).
tcf(c_3026,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(xq))
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,xq,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3018,c_53,c_68]) ).
tcf(c_3031,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(sK0))
| ( X0 = sz00 )
| ~ aInteger0(sK0)
| ~ aInteger0(sz00)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,sK0,X0) ),
inference(superposition,[status(thm)],[c_2918,c_70]) ).
tcf(c_3032,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,sK0,X0)
| ( X0 = sz00 )
| ~ aInteger0(sK0)
| ~ aInteger0(sz00)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,smndt0(sK0)) ),
inference(superposition,[status(thm)],[c_2918,c_69]) ).
tcf(c_3034,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,sK0,X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,smndt0(sK0)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3032,c_56,c_68]) ).
tcf(c_3039,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(sK0))
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,sK0,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3031,c_56,c_68]) ).
tcf(c_3044,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(xm))
| ( X0 = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sz00)
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,xm,X0) ),
inference(superposition,[status(thm)],[c_2919,c_70]) ).
tcf(c_3045,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,xm,X0)
| ( X0 = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(sz00)
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,smndt0(xm)) ),
inference(superposition,[status(thm)],[c_2919,c_69]) ).
tcf(c_3047,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,xm,X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,smndt0(xm)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3045,c_60,c_68]) ).
tcf(c_3052,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(xm))
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,xm,X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3044,c_60,c_68]) ).
tcf(c_3076,plain,
sdtpldt0(xa,xb) = sdtpldt0(xb,xa),
inference(superposition,[status(thm)],[c_50,c_1585]) ).
tcf(c_3077,plain,
sdtpldt0(xa,xp) = sdtpldt0(xp,xa),
inference(superposition,[status(thm)],[c_51,c_1585]) ).
tcf(c_3078,plain,
sdtpldt0(xa,xq) = sdtpldt0(xq,xa),
inference(superposition,[status(thm)],[c_53,c_1585]) ).
tcf(c_3079,plain,
sdtpldt0(xa,sK0) = sdtpldt0(sK0,xa),
inference(superposition,[status(thm)],[c_56,c_1585]) ).
tcf(c_3080,plain,
sdtpldt0(xa,xm) = sdtpldt0(xm,xa),
inference(superposition,[status(thm)],[c_60,c_1585]) ).
tcf(c_3081,plain,
sdtpldt0(xa,sz00) = sdtpldt0(sz00,xa),
inference(superposition,[status(thm)],[c_68,c_1585]) ).
tcf(c_3082,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xa) = sdtpldt0(xa,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_1585]) ).
tcf(c_3083,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X1,X0),xa) = sdtpldt0(xa,sK1(X1,X0)) )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_1585]) ).
tcf(c_3084,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),xa) = sdtpldt0(xa,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1585]) ).
tcf(c_3085,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xa) = sdtpldt0(xa,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_1585]) ).
tcf(c_3086,plain,
sdtpldt0(sdtasdt0(xp,xq),xa) = sdtpldt0(xa,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2351,c_1585]) ).
tcf(c_3087,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),xa) = sdtpldt0(xa,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_2447,c_1585]) ).
tcf(c_3103,plain,
( aInteger0(sdtpldt0(xa,xb))
| ~ aInteger0(xb)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_3076,c_86]) ).
tcf(c_3104,plain,
aInteger0(sdtpldt0(xa,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_3103,c_50,c_49]) ).
tcf(c_3105,plain,
sdtpldt0(sdtpldt0(xa,xb),xa) = sdtpldt0(xa,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3104,c_1585]) ).
tcf(c_3106,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,xb))) = smndt0(sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3104,c_1358]) ).
tcf(c_3107,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xb)),sz00) = smndt0(sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3104,c_1343]) ).
tcf(c_3108,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,xb),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,xb),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3104,c_83]) ).
tcf(c_3109,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,xb),X0),sdtasdt0(sdtpldt0(xa,xb),X1)) = sdtasdt0(sdtpldt0(xa,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3104,c_82]) ).
tcf(c_3110,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,xb),X0),X1) = sdtasdt0(sdtpldt0(xa,xb),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3104,c_88]) ).
tcf(c_3111,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,xb),X0),X1) = sdtpldt0(sdtpldt0(xa,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3104,c_85]) ).
tcf(c_3112,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_3104,c_1328]) ).
tcf(c_3113,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,xb),X0) = sdtasdt0(X0,sdtpldt0(xa,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3104,c_87]) ).
tcf(c_3114,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3104,c_1313]) ).
tcf(c_3115,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,xb),X0) = sdtpldt0(X0,sdtpldt0(xa,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3104,c_84]) ).
tcf(c_3116,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xb)),sdtpldt0(xa,xb)) = sz00,
inference(superposition,[status(thm)],[c_3104,c_77]) ).
tcf(c_3117,plain,
sdtpldt0(sdtpldt0(xa,xb),smndt0(sdtpldt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_3104,c_76]) ).
tcf(c_3118,plain,
sdtpldt0(sz00,sdtpldt0(xa,xb)) = sdtpldt0(xa,xb),
inference(superposition,[status(thm)],[c_3104,c_67]) ).
tcf(c_3119,plain,
sdtpldt0(sdtpldt0(xa,xb),sz00) = sdtpldt0(xa,xb),
inference(superposition,[status(thm)],[c_3104,c_66]) ).
tcf(c_3120,plain,
sdtasdt0(sz00,sdtpldt0(xa,xb)) = sz00,
inference(superposition,[status(thm)],[c_3104,c_65]) ).
tcf(c_3121,plain,
sdtasdt0(sdtpldt0(xa,xb),sz00) = sz00,
inference(superposition,[status(thm)],[c_3104,c_64]) ).
tcf(c_3172,plain,
( aInteger0(sdtpldt0(xp,xa))
| ~ aInteger0(xp)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_3077,c_86]) ).
tcf(c_3173,plain,
aInteger0(sdtpldt0(xp,xa)),
inference(forward_subsumption_resolution,[status(thm)],[c_3172,c_51,c_49]) ).
tcf(c_3175,plain,
sdtpldt0(sdtpldt0(xp,xa),xa) = sdtpldt0(xa,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3173,c_1585]) ).
tcf(c_3176,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,xa))) = smndt0(sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3173,c_1358]) ).
tcf(c_3177,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xa)),sz00) = smndt0(sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3173,c_1343]) ).
tcf(c_3178,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xa),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,xa),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3173,c_83]) ).
tcf(c_3179,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xa),X0),sdtasdt0(sdtpldt0(xp,xa),X1)) = sdtasdt0(sdtpldt0(xp,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3173,c_82]) ).
tcf(c_3180,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xa),X0),X1) = sdtasdt0(sdtpldt0(xp,xa),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3173,c_88]) ).
tcf(c_3181,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xa),X0),X1) = sdtpldt0(sdtpldt0(xp,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3173,c_85]) ).
tcf(c_3182,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_3173,c_1328]) ).
tcf(c_3183,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xa),X0) = sdtasdt0(X0,sdtpldt0(xp,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3173,c_87]) ).
tcf(c_3184,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3173,c_1313]) ).
tcf(c_3185,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xa),X0) = sdtpldt0(X0,sdtpldt0(xp,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3173,c_84]) ).
tcf(c_3186,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xa)),sdtpldt0(xp,xa)) = sz00,
inference(superposition,[status(thm)],[c_3173,c_77]) ).
tcf(c_3187,plain,
sdtpldt0(sdtpldt0(xp,xa),smndt0(sdtpldt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_3173,c_76]) ).
tcf(c_3188,plain,
sdtpldt0(sz00,sdtpldt0(xp,xa)) = sdtpldt0(xp,xa),
inference(superposition,[status(thm)],[c_3173,c_67]) ).
tcf(c_3189,plain,
sdtpldt0(sdtpldt0(xp,xa),sz00) = sdtpldt0(xp,xa),
inference(superposition,[status(thm)],[c_3173,c_66]) ).
tcf(c_3190,plain,
sdtasdt0(sz00,sdtpldt0(xp,xa)) = sz00,
inference(superposition,[status(thm)],[c_3173,c_65]) ).
tcf(c_3191,plain,
sdtasdt0(sdtpldt0(xp,xa),sz00) = sz00,
inference(superposition,[status(thm)],[c_3173,c_64]) ).
tcf(c_3288,plain,
( aInteger0(sdtpldt0(xq,xa))
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_3078,c_86]) ).
tcf(c_3289,plain,
aInteger0(sdtpldt0(xq,xa)),
inference(forward_subsumption_resolution,[status(thm)],[c_3288,c_53,c_49]) ).
tcf(c_3290,plain,
sdtpldt0(sdtpldt0(xq,xa),xa) = sdtpldt0(xa,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3289,c_1585]) ).
tcf(c_3291,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,xa))) = smndt0(sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3289,c_1358]) ).
tcf(c_3292,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xa)),sz00) = smndt0(sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3289,c_1343]) ).
tcf(c_3293,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,xa),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,xa),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3289,c_83]) ).
tcf(c_3294,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,xa),X0),sdtasdt0(sdtpldt0(xq,xa),X1)) = sdtasdt0(sdtpldt0(xq,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3289,c_82]) ).
tcf(c_3295,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,xa),X0),X1) = sdtasdt0(sdtpldt0(xq,xa),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3289,c_88]) ).
tcf(c_3296,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,xa),X0),X1) = sdtpldt0(sdtpldt0(xq,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3289,c_85]) ).
tcf(c_3297,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_3289,c_1328]) ).
tcf(c_3298,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,xa),X0) = sdtasdt0(X0,sdtpldt0(xq,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3289,c_87]) ).
tcf(c_3299,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3289,c_1313]) ).
tcf(c_3300,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,xa),X0) = sdtpldt0(X0,sdtpldt0(xq,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3289,c_84]) ).
tcf(c_3301,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xa)),sdtpldt0(xq,xa)) = sz00,
inference(superposition,[status(thm)],[c_3289,c_77]) ).
tcf(c_3302,plain,
sdtpldt0(sdtpldt0(xq,xa),smndt0(sdtpldt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_3289,c_76]) ).
tcf(c_3303,plain,
sdtpldt0(sz00,sdtpldt0(xq,xa)) = sdtpldt0(xq,xa),
inference(superposition,[status(thm)],[c_3289,c_67]) ).
tcf(c_3304,plain,
sdtpldt0(sdtpldt0(xq,xa),sz00) = sdtpldt0(xq,xa),
inference(superposition,[status(thm)],[c_3289,c_66]) ).
tcf(c_3305,plain,
sdtasdt0(sz00,sdtpldt0(xq,xa)) = sz00,
inference(superposition,[status(thm)],[c_3289,c_65]) ).
tcf(c_3306,plain,
sdtasdt0(sdtpldt0(xq,xa),sz00) = sz00,
inference(superposition,[status(thm)],[c_3289,c_64]) ).
tcf(c_3353,plain,
( aInteger0(sdtpldt0(xa,sK0))
| ~ aInteger0(sK0)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_3079,c_86]) ).
tcf(c_3354,plain,
aInteger0(sdtpldt0(xa,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_3353,c_56,c_49]) ).
tcf(c_3359,plain,
( ( xa = sz00 )
| ( sK1(sz00,xa) = sz00 )
| ~ aInteger0(xa)
| ~ aInteger0(sK1(sz00,xa)) ),
inference(superposition,[status(thm)],[c_1964,c_63]) ).
tcf(c_3362,plain,
( ( xa = sz00 )
| ( sK1(sz00,xa) = sz00 )
| ~ aInteger0(sK1(sz00,xa)) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3359,c_49]) ).
tcf(c_3366,plain,
sdtpldt0(sdtpldt0(xa,sK0),xa) = sdtpldt0(xa,sdtpldt0(xa,sK0)),
inference(superposition,[status(thm)],[c_3354,c_1585]) ).
tcf(c_3367,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sK0))) = smndt0(sdtpldt0(xa,sK0)),
inference(superposition,[status(thm)],[c_3354,c_1358]) ).
tcf(c_3368,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sK0)),sz00) = smndt0(sdtpldt0(xa,sK0)),
inference(superposition,[status(thm)],[c_3354,c_1343]) ).
tcf(c_3369,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sK0),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sK0),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3354,c_83]) ).
tcf(c_3370,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sK0),X0),sdtasdt0(sdtpldt0(xa,sK0),X1)) = sdtasdt0(sdtpldt0(xa,sK0),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3354,c_82]) ).
tcf(c_3371,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sK0),X0),X1) = sdtasdt0(sdtpldt0(xa,sK0),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3354,c_88]) ).
tcf(c_3372,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sK0),X0),X1) = sdtpldt0(sdtpldt0(xa,sK0),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3354,c_85]) ).
tcf(c_3373,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sK0))) = sz00,
inference(superposition,[status(thm)],[c_3354,c_1328]) ).
tcf(c_3374,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sK0),X0) = sdtasdt0(X0,sdtpldt0(xa,sK0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3354,c_87]) ).
tcf(c_3375,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sK0)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3354,c_1313]) ).
tcf(c_3376,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sK0),X0) = sdtpldt0(X0,sdtpldt0(xa,sK0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3354,c_84]) ).
tcf(c_3377,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sK0)),sdtpldt0(xa,sK0)) = sz00,
inference(superposition,[status(thm)],[c_3354,c_77]) ).
tcf(c_3378,plain,
sdtpldt0(sdtpldt0(xa,sK0),smndt0(sdtpldt0(xa,sK0))) = sz00,
inference(superposition,[status(thm)],[c_3354,c_76]) ).
tcf(c_3379,plain,
sdtpldt0(sz00,sdtpldt0(xa,sK0)) = sdtpldt0(xa,sK0),
inference(superposition,[status(thm)],[c_3354,c_67]) ).
tcf(c_3380,plain,
sdtpldt0(sdtpldt0(xa,sK0),sz00) = sdtpldt0(xa,sK0),
inference(superposition,[status(thm)],[c_3354,c_66]) ).
tcf(c_3381,plain,
sdtasdt0(sz00,sdtpldt0(xa,sK0)) = sz00,
inference(superposition,[status(thm)],[c_3354,c_65]) ).
tcf(c_3382,plain,
sdtasdt0(sdtpldt0(xa,sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_3354,c_64]) ).
tcf(c_3473,plain,
( aInteger0(sdtpldt0(xa,xm))
| ~ aInteger0(xm)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_3080,c_86]) ).
tcf(c_3474,plain,
aInteger0(sdtpldt0(xa,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_3473,c_60,c_49]) ).
tcf(c_3475,plain,
sdtpldt0(sdtpldt0(xa,xm),xa) = sdtpldt0(xa,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3474,c_1585]) ).
tcf(c_3476,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,xm))) = smndt0(sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3474,c_1358]) ).
tcf(c_3477,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xm)),sz00) = smndt0(sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3474,c_1343]) ).
tcf(c_3478,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,xm),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,xm),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3474,c_83]) ).
tcf(c_3479,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,xm),X0),sdtasdt0(sdtpldt0(xa,xm),X1)) = sdtasdt0(sdtpldt0(xa,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3474,c_82]) ).
tcf(c_3480,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,xm),X0),X1) = sdtasdt0(sdtpldt0(xa,xm),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3474,c_88]) ).
tcf(c_3481,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,xm),X0),X1) = sdtpldt0(sdtpldt0(xa,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3474,c_85]) ).
tcf(c_3482,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_3474,c_1328]) ).
tcf(c_3483,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,xm),X0) = sdtasdt0(X0,sdtpldt0(xa,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3474,c_87]) ).
tcf(c_3484,plain,
sdtasdt0(smndt0(sdtpldt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3474,c_1313]) ).
tcf(c_3485,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,xm),X0) = sdtpldt0(X0,sdtpldt0(xa,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3474,c_84]) ).
tcf(c_3486,plain,
sdtpldt0(smndt0(sdtpldt0(xa,xm)),sdtpldt0(xa,xm)) = sz00,
inference(superposition,[status(thm)],[c_3474,c_77]) ).
tcf(c_3487,plain,
sdtpldt0(sdtpldt0(xa,xm),smndt0(sdtpldt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_3474,c_76]) ).
tcf(c_3488,plain,
sdtpldt0(sz00,sdtpldt0(xa,xm)) = sdtpldt0(xa,xm),
inference(superposition,[status(thm)],[c_3474,c_67]) ).
tcf(c_3489,plain,
sdtpldt0(sdtpldt0(xa,xm),sz00) = sdtpldt0(xa,xm),
inference(superposition,[status(thm)],[c_3474,c_66]) ).
tcf(c_3490,plain,
sdtasdt0(sz00,sdtpldt0(xa,xm)) = sz00,
inference(superposition,[status(thm)],[c_3474,c_65]) ).
tcf(c_3491,plain,
sdtasdt0(sdtpldt0(xa,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_3474,c_64]) ).
tcf(c_3583,plain,
( aDivisorOf0(sdtpldt0(xa,xb),sz00)
| ( sdtpldt0(xa,xb) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_3121,c_108]) ).
tcf(c_3585,plain,
( aDivisorOf0(sdtpldt0(xa,xb),sz00)
| ( sdtpldt0(xa,xb) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3583,c_68,c_3104]) ).
tcf(c_3608,plain,
( aDivisorOf0(sdtpldt0(xp,xa),sz00)
| ( sdtpldt0(xp,xa) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_3191,c_108]) ).
tcf(c_3610,plain,
( aDivisorOf0(sdtpldt0(xp,xa),sz00)
| ( sdtpldt0(xp,xa) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3608,c_68,c_3173]) ).
tcf(c_3617,plain,
( aDivisorOf0(sdtpldt0(xq,xa),sz00)
| ( sdtpldt0(xq,xa) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_3306,c_108]) ).
tcf(c_3619,plain,
( aDivisorOf0(sdtpldt0(xq,xa),sz00)
| ( sdtpldt0(xq,xa) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3617,c_68,c_3289]) ).
tcf(c_3626,plain,
( aDivisorOf0(sdtpldt0(xa,sK0),sz00)
| ( sdtpldt0(xa,sK0) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xa,sK0)) ),
inference(superposition,[status(thm)],[c_3382,c_108]) ).
tcf(c_3628,plain,
( aDivisorOf0(sdtpldt0(xa,sK0),sz00)
| ( sdtpldt0(xa,sK0) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3626,c_68,c_3354]) ).
tcf(c_3635,plain,
( aDivisorOf0(sdtpldt0(xa,xm),sz00)
| ( sdtpldt0(xa,xm) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_3491,c_108]) ).
tcf(c_3637,plain,
( aDivisorOf0(sdtpldt0(xa,xm),sz00)
| ( sdtpldt0(xa,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3635,c_68,c_3474]) ).
tcf(c_3644,plain,
( aDivisorOf0(smndt0(sdtpldt0(xa,xb)),sz00)
| ( smndt0(sdtpldt0(xa,xb)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xa,xb))) ),
inference(superposition,[status(thm)],[c_3114,c_108]) ).
tcf(c_3646,plain,
( aDivisorOf0(smndt0(sdtpldt0(xa,xb)),sz00)
| ( smndt0(sdtpldt0(xa,xb)) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xa,xb))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3644,c_68]) ).
tcf(c_3666,plain,
( aDivisorOf0(smndt0(sdtpldt0(xp,xa)),sz00)
| ( smndt0(sdtpldt0(xp,xa)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xp,xa))) ),
inference(superposition,[status(thm)],[c_3184,c_108]) ).
tcf(c_3668,plain,
( aDivisorOf0(smndt0(sdtpldt0(xp,xa)),sz00)
| ( smndt0(sdtpldt0(xp,xa)) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xp,xa))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3666,c_68]) ).
tcf(c_3676,plain,
( aDivisorOf0(smndt0(sdtpldt0(xq,xa)),sz00)
| ( smndt0(sdtpldt0(xq,xa)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xq,xa))) ),
inference(superposition,[status(thm)],[c_3299,c_108]) ).
tcf(c_3678,plain,
( aDivisorOf0(smndt0(sdtpldt0(xq,xa)),sz00)
| ( smndt0(sdtpldt0(xq,xa)) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xq,xa))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3676,c_68]) ).
tcf(c_3686,plain,
( aDivisorOf0(smndt0(sdtpldt0(xa,sK0)),sz00)
| ( smndt0(sdtpldt0(xa,sK0)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xa,sK0))) ),
inference(superposition,[status(thm)],[c_3375,c_108]) ).
tcf(c_3688,plain,
( aDivisorOf0(smndt0(sdtpldt0(xa,sK0)),sz00)
| ( smndt0(sdtpldt0(xa,sK0)) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xa,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3686,c_68]) ).
tcf(c_3696,plain,
( aDivisorOf0(smndt0(sdtpldt0(xa,xm)),sz00)
| ( smndt0(sdtpldt0(xa,xm)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xa,xm))) ),
inference(superposition,[status(thm)],[c_3484,c_108]) ).
tcf(c_3698,plain,
( aDivisorOf0(smndt0(sdtpldt0(xa,xm)),sz00)
| ( smndt0(sdtpldt0(xa,xm)) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xa,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3696,c_68]) ).
tcf(c_3707,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(sdtasdt0(xp,xq))
| ~ sdteqdtlpzmzozddtrp0(sdtasdt0(xp,xq),sdtasdt0(xp,xq),X0) ),
inference(superposition,[status(thm)],[c_2361,c_70]) ).
tcf(c_3708,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sdtasdt0(xp,xq),sdtasdt0(xp,xq),X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_2361,c_69]) ).
tcf(c_3710,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sdtasdt0(xp,xq),sdtasdt0(xp,xq),X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3708,c_2351]) ).
tcf(c_3715,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sdtasdt0(xp,xq),sdtasdt0(xp,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_3707,c_2351]) ).
tcf(c_3745,plain,
sdtpldt0(xb,xp) = sdtpldt0(xp,xb),
inference(superposition,[status(thm)],[c_51,c_1586]) ).
tcf(c_3746,plain,
sdtpldt0(xb,xq) = sdtpldt0(xq,xb),
inference(superposition,[status(thm)],[c_53,c_1586]) ).
tcf(c_3747,plain,
sdtpldt0(xb,sK0) = sdtpldt0(sK0,xb),
inference(superposition,[status(thm)],[c_56,c_1586]) ).
tcf(c_3748,plain,
sdtpldt0(xb,xm) = sdtpldt0(xm,xb),
inference(superposition,[status(thm)],[c_60,c_1586]) ).
tcf(c_3749,plain,
sdtpldt0(xb,sz00) = sdtpldt0(sz00,xb),
inference(superposition,[status(thm)],[c_68,c_1586]) ).
tcf(c_3750,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xb) = sdtpldt0(xb,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_1586]) ).
tcf(c_3751,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X1,X0),xb) = sdtpldt0(xb,sK1(X1,X0)) )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_1586]) ).
tcf(c_3752,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),xb) = sdtpldt0(xb,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1586]) ).
tcf(c_3753,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xb) = sdtpldt0(xb,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_1586]) ).
tcf(c_3754,plain,
sdtpldt0(sdtasdt0(xp,xq),xb) = sdtpldt0(xb,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2351,c_1586]) ).
tcf(c_3755,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),xb) = sdtpldt0(xb,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_2447,c_1586]) ).
tcf(c_3756,plain,
sdtpldt0(sdtpldt0(xa,xb),xb) = sdtpldt0(xb,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3104,c_1586]) ).
tcf(c_3757,plain,
sdtpldt0(sdtpldt0(xp,xa),xb) = sdtpldt0(xb,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3173,c_1586]) ).
tcf(c_3758,plain,
sdtpldt0(sdtpldt0(xq,xa),xb) = sdtpldt0(xb,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3289,c_1586]) ).
tcf(c_3759,plain,
sdtpldt0(sdtpldt0(xa,sK0),xb) = sdtpldt0(xb,sdtpldt0(xa,sK0)),
inference(superposition,[status(thm)],[c_3354,c_1586]) ).
tcf(c_3760,plain,
sdtpldt0(sdtpldt0(xa,xm),xb) = sdtpldt0(xb,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3474,c_1586]) ).
tcf(c_3830,plain,
( aInteger0(sdtpldt0(xp,xb))
| ~ aInteger0(xp)
| ~ aInteger0(xb) ),
inference(superposition,[status(thm)],[c_3745,c_86]) ).
tcf(c_3831,plain,
aInteger0(sdtpldt0(xp,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_3830,c_51,c_50]) ).
tcf(c_3839,plain,
sdtpldt0(sdtpldt0(xp,xb),xb) = sdtpldt0(xb,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3831,c_1586]) ).
tcf(c_3840,plain,
sdtpldt0(sdtpldt0(xp,xb),xa) = sdtpldt0(xa,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3831,c_1585]) ).
tcf(c_3841,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,xb))) = smndt0(sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3831,c_1358]) ).
tcf(c_3842,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xb)),sz00) = smndt0(sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3831,c_1343]) ).
tcf(c_3843,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xb),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,xb),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3831,c_83]) ).
tcf(c_3844,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xb),X0),sdtasdt0(sdtpldt0(xp,xb),X1)) = sdtasdt0(sdtpldt0(xp,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3831,c_82]) ).
tcf(c_3845,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xb),X0),X1) = sdtasdt0(sdtpldt0(xp,xb),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3831,c_88]) ).
tcf(c_3846,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xb),X0),X1) = sdtpldt0(sdtpldt0(xp,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3831,c_85]) ).
tcf(c_3847,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_3831,c_1328]) ).
tcf(c_3848,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xb),X0) = sdtasdt0(X0,sdtpldt0(xp,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3831,c_87]) ).
tcf(c_3849,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3831,c_1313]) ).
tcf(c_3850,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xb),X0) = sdtpldt0(X0,sdtpldt0(xp,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3831,c_84]) ).
tcf(c_3851,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xb)),sdtpldt0(xp,xb)) = sz00,
inference(superposition,[status(thm)],[c_3831,c_77]) ).
tcf(c_3852,plain,
sdtpldt0(sdtpldt0(xp,xb),smndt0(sdtpldt0(xp,xb))) = sz00,
inference(superposition,[status(thm)],[c_3831,c_76]) ).
tcf(c_3853,plain,
sdtpldt0(sz00,sdtpldt0(xp,xb)) = sdtpldt0(xp,xb),
inference(superposition,[status(thm)],[c_3831,c_67]) ).
tcf(c_3854,plain,
sdtpldt0(sdtpldt0(xp,xb),sz00) = sdtpldt0(xp,xb),
inference(superposition,[status(thm)],[c_3831,c_66]) ).
tcf(c_3855,plain,
sdtasdt0(sz00,sdtpldt0(xp,xb)) = sz00,
inference(superposition,[status(thm)],[c_3831,c_65]) ).
tcf(c_3856,plain,
sdtasdt0(sdtpldt0(xp,xb),sz00) = sz00,
inference(superposition,[status(thm)],[c_3831,c_64]) ).
tcf(c_3957,plain,
( aInteger0(sdtpldt0(xq,xb))
| ~ aInteger0(xq)
| ~ aInteger0(xb) ),
inference(superposition,[status(thm)],[c_3746,c_86]) ).
tcf(c_3958,plain,
aInteger0(sdtpldt0(xq,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_3957,c_53,c_50]) ).
tcf(c_3959,plain,
sdtpldt0(sdtpldt0(xq,xb),xb) = sdtpldt0(xb,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3958,c_1586]) ).
tcf(c_3960,plain,
sdtpldt0(sdtpldt0(xq,xb),xa) = sdtpldt0(xa,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3958,c_1585]) ).
tcf(c_3961,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,xb))) = smndt0(sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3958,c_1358]) ).
tcf(c_3962,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xb)),sz00) = smndt0(sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3958,c_1343]) ).
tcf(c_3963,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,xb),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,xb),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3958,c_83]) ).
tcf(c_3964,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,xb),X0),sdtasdt0(sdtpldt0(xq,xb),X1)) = sdtasdt0(sdtpldt0(xq,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3958,c_82]) ).
tcf(c_3965,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,xb),X0),X1) = sdtasdt0(sdtpldt0(xq,xb),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3958,c_88]) ).
tcf(c_3966,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,xb),X0),X1) = sdtpldt0(sdtpldt0(xq,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3958,c_85]) ).
tcf(c_3967,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_3958,c_1328]) ).
tcf(c_3968,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,xb),X0) = sdtasdt0(X0,sdtpldt0(xq,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3958,c_87]) ).
tcf(c_3969,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_3958,c_1313]) ).
tcf(c_3970,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,xb),X0) = sdtpldt0(X0,sdtpldt0(xq,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_3958,c_84]) ).
tcf(c_3971,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xb)),sdtpldt0(xq,xb)) = sz00,
inference(superposition,[status(thm)],[c_3958,c_77]) ).
tcf(c_3972,plain,
sdtpldt0(sdtpldt0(xq,xb),smndt0(sdtpldt0(xq,xb))) = sz00,
inference(superposition,[status(thm)],[c_3958,c_76]) ).
tcf(c_3973,plain,
sdtpldt0(sz00,sdtpldt0(xq,xb)) = sdtpldt0(xq,xb),
inference(superposition,[status(thm)],[c_3958,c_67]) ).
tcf(c_3974,plain,
sdtpldt0(sdtpldt0(xq,xb),sz00) = sdtpldt0(xq,xb),
inference(superposition,[status(thm)],[c_3958,c_66]) ).
tcf(c_3975,plain,
sdtasdt0(sz00,sdtpldt0(xq,xb)) = sz00,
inference(superposition,[status(thm)],[c_3958,c_65]) ).
tcf(c_3976,plain,
sdtasdt0(sdtpldt0(xq,xb),sz00) = sz00,
inference(superposition,[status(thm)],[c_3958,c_64]) ).
tcf(c_4038,plain,
( aInteger0(sdtpldt0(xb,sK0))
| ~ aInteger0(sK0)
| ~ aInteger0(xb) ),
inference(superposition,[status(thm)],[c_3747,c_86]) ).
tcf(c_4039,plain,
aInteger0(sdtpldt0(xb,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_4038,c_56,c_50]) ).
tcf(c_4040,plain,
sdtpldt0(sdtpldt0(xb,sK0),xb) = sdtpldt0(xb,sdtpldt0(xb,sK0)),
inference(superposition,[status(thm)],[c_4039,c_1586]) ).
tcf(c_4041,plain,
sdtpldt0(sdtpldt0(xb,sK0),xa) = sdtpldt0(xa,sdtpldt0(xb,sK0)),
inference(superposition,[status(thm)],[c_4039,c_1585]) ).
tcf(c_4042,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,sK0))) = smndt0(sdtpldt0(xb,sK0)),
inference(superposition,[status(thm)],[c_4039,c_1358]) ).
tcf(c_4043,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sK0)),sz00) = smndt0(sdtpldt0(xb,sK0)),
inference(superposition,[status(thm)],[c_4039,c_1343]) ).
tcf(c_4044,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sK0),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,sK0),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4039,c_83]) ).
tcf(c_4045,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,sK0),X0),sdtasdt0(sdtpldt0(xb,sK0),X1)) = sdtasdt0(sdtpldt0(xb,sK0),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4039,c_82]) ).
tcf(c_4046,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,sK0),X0),X1) = sdtasdt0(sdtpldt0(xb,sK0),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4039,c_88]) ).
tcf(c_4047,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,sK0),X0),X1) = sdtpldt0(sdtpldt0(xb,sK0),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4039,c_85]) ).
tcf(c_4048,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,sK0))) = sz00,
inference(superposition,[status(thm)],[c_4039,c_1328]) ).
tcf(c_4049,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,sK0),X0) = sdtasdt0(X0,sdtpldt0(xb,sK0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4039,c_87]) ).
tcf(c_4050,plain,
sdtasdt0(smndt0(sdtpldt0(xb,sK0)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4039,c_1313]) ).
tcf(c_4051,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,sK0),X0) = sdtpldt0(X0,sdtpldt0(xb,sK0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4039,c_84]) ).
tcf(c_4052,plain,
sdtpldt0(smndt0(sdtpldt0(xb,sK0)),sdtpldt0(xb,sK0)) = sz00,
inference(superposition,[status(thm)],[c_4039,c_77]) ).
tcf(c_4053,plain,
sdtpldt0(sdtpldt0(xb,sK0),smndt0(sdtpldt0(xb,sK0))) = sz00,
inference(superposition,[status(thm)],[c_4039,c_76]) ).
tcf(c_4054,plain,
sdtpldt0(sz00,sdtpldt0(xb,sK0)) = sdtpldt0(xb,sK0),
inference(superposition,[status(thm)],[c_4039,c_67]) ).
tcf(c_4055,plain,
sdtpldt0(sdtpldt0(xb,sK0),sz00) = sdtpldt0(xb,sK0),
inference(superposition,[status(thm)],[c_4039,c_66]) ).
tcf(c_4056,plain,
sdtasdt0(sz00,sdtpldt0(xb,sK0)) = sz00,
inference(superposition,[status(thm)],[c_4039,c_65]) ).
tcf(c_4057,plain,
sdtasdt0(sdtpldt0(xb,sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_4039,c_64]) ).
tcf(c_4136,plain,
( aInteger0(sdtpldt0(xb,xm))
| ~ aInteger0(xm)
| ~ aInteger0(xb) ),
inference(superposition,[status(thm)],[c_3748,c_86]) ).
tcf(c_4137,plain,
aInteger0(sdtpldt0(xb,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_4136,c_60,c_50]) ).
tcf(c_4146,plain,
sdtpldt0(sdtpldt0(xb,xm),xb) = sdtpldt0(xb,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4137,c_1586]) ).
tcf(c_4147,plain,
sdtpldt0(sdtpldt0(xb,xm),xa) = sdtpldt0(xa,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4137,c_1585]) ).
tcf(c_4148,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xb,xm))) = smndt0(sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4137,c_1358]) ).
tcf(c_4149,plain,
sdtpldt0(smndt0(sdtpldt0(xb,xm)),sz00) = smndt0(sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4137,c_1343]) ).
tcf(c_4150,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,xm),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xb,xm),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4137,c_83]) ).
tcf(c_4151,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xb,xm),X0),sdtasdt0(sdtpldt0(xb,xm),X1)) = sdtasdt0(sdtpldt0(xb,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4137,c_82]) ).
tcf(c_4152,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xb,xm),X0),X1) = sdtasdt0(sdtpldt0(xb,xm),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4137,c_88]) ).
tcf(c_4153,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xb,xm),X0),X1) = sdtpldt0(sdtpldt0(xb,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4137,c_85]) ).
tcf(c_4154,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_4137,c_1328]) ).
tcf(c_4155,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xb,xm),X0) = sdtasdt0(X0,sdtpldt0(xb,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4137,c_87]) ).
tcf(c_4156,plain,
sdtasdt0(smndt0(sdtpldt0(xb,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4137,c_1313]) ).
tcf(c_4157,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xb,xm),X0) = sdtpldt0(X0,sdtpldt0(xb,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4137,c_84]) ).
tcf(c_4158,plain,
sdtpldt0(smndt0(sdtpldt0(xb,xm)),sdtpldt0(xb,xm)) = sz00,
inference(superposition,[status(thm)],[c_4137,c_77]) ).
tcf(c_4159,plain,
sdtpldt0(sdtpldt0(xb,xm),smndt0(sdtpldt0(xb,xm))) = sz00,
inference(superposition,[status(thm)],[c_4137,c_76]) ).
tcf(c_4160,plain,
sdtpldt0(sz00,sdtpldt0(xb,xm)) = sdtpldt0(xb,xm),
inference(superposition,[status(thm)],[c_4137,c_67]) ).
tcf(c_4161,plain,
sdtpldt0(sdtpldt0(xb,xm),sz00) = sdtpldt0(xb,xm),
inference(superposition,[status(thm)],[c_4137,c_66]) ).
tcf(c_4162,plain,
sdtasdt0(sz00,sdtpldt0(xb,xm)) = sz00,
inference(superposition,[status(thm)],[c_4137,c_65]) ).
tcf(c_4163,plain,
sdtasdt0(sdtpldt0(xb,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_4137,c_64]) ).
tcf(c_4269,plain,
( aDivisorOf0(sdtpldt0(xp,xb),sz00)
| ( sdtpldt0(xp,xb) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xp,xb)) ),
inference(superposition,[status(thm)],[c_3856,c_108]) ).
tcf(c_4271,plain,
( aDivisorOf0(sdtpldt0(xp,xb),sz00)
| ( sdtpldt0(xp,xb) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4269,c_68,c_3831]) ).
tcf(c_4278,plain,
( aDivisorOf0(sdtpldt0(xq,xb),sz00)
| ( sdtpldt0(xq,xb) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xq,xb)) ),
inference(superposition,[status(thm)],[c_3976,c_108]) ).
tcf(c_4280,plain,
( aDivisorOf0(sdtpldt0(xq,xb),sz00)
| ( sdtpldt0(xq,xb) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4278,c_68,c_3958]) ).
tcf(c_4289,plain,
( aDivisorOf0(sdtpldt0(xb,sK0),sz00)
| ( sdtpldt0(xb,sK0) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xb,sK0)) ),
inference(superposition,[status(thm)],[c_4057,c_108]) ).
tcf(c_4291,plain,
( aDivisorOf0(sdtpldt0(xb,sK0),sz00)
| ( sdtpldt0(xb,sK0) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4289,c_68,c_4039]) ).
tcf(c_4295,plain,
( ( sdtasdt0(xp,xq) = sz00 )
| ( sK1(sz00,sdtasdt0(xp,xq)) = sz00 )
| ~ aInteger0(sdtasdt0(xp,xq))
| ~ aInteger0(sK1(sz00,sdtasdt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_2421,c_63]) ).
tcf(c_4298,plain,
( ( sK1(sz00,sdtasdt0(xp,xq)) = sz00 )
| ~ aInteger0(sK1(sz00,sdtasdt0(xp,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4295,c_55,c_2351]) ).
tcf(c_4355,plain,
( aDivisorOf0(sdtpldt0(xb,xm),sz00)
| ( sdtpldt0(xb,xm) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xb,xm)) ),
inference(superposition,[status(thm)],[c_4163,c_108]) ).
tcf(c_4357,plain,
( aDivisorOf0(sdtpldt0(xb,xm),sz00)
| ( sdtpldt0(xb,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4355,c_68,c_4137]) ).
tcf(c_4366,plain,
( aDivisorOf0(smndt0(sdtpldt0(xp,xb)),sz00)
| ( smndt0(sdtpldt0(xp,xb)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xp,xb))) ),
inference(superposition,[status(thm)],[c_3849,c_108]) ).
tcf(c_4368,plain,
( aDivisorOf0(smndt0(sdtpldt0(xp,xb)),sz00)
| ( smndt0(sdtpldt0(xp,xb)) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xp,xb))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4366,c_68]) ).
tcf(c_4376,plain,
( aDivisorOf0(smndt0(sdtpldt0(xq,xb)),sz00)
| ( smndt0(sdtpldt0(xq,xb)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xq,xb))) ),
inference(superposition,[status(thm)],[c_3969,c_108]) ).
tcf(c_4378,plain,
( aDivisorOf0(smndt0(sdtpldt0(xq,xb)),sz00)
| ( smndt0(sdtpldt0(xq,xb)) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xq,xb))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4376,c_68]) ).
tcf(c_4386,plain,
( aDivisorOf0(smndt0(sdtpldt0(xb,sK0)),sz00)
| ( smndt0(sdtpldt0(xb,sK0)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xb,sK0))) ),
inference(superposition,[status(thm)],[c_4050,c_108]) ).
tcf(c_4388,plain,
( aDivisorOf0(smndt0(sdtpldt0(xb,sK0)),sz00)
| ( smndt0(sdtpldt0(xb,sK0)) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xb,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4386,c_68]) ).
tcf(c_4401,plain,
( aDivisorOf0(smndt0(sdtpldt0(xb,xm)),sz00)
| ( smndt0(sdtpldt0(xb,xm)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xb,xm))) ),
inference(superposition,[status(thm)],[c_4156,c_108]) ).
tcf(c_4403,plain,
( aDivisorOf0(smndt0(sdtpldt0(xb,xm)),sz00)
| ( smndt0(sdtpldt0(xb,xm)) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xb,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4401,c_68]) ).
tcf(c_4421,plain,
sdtpldt0(xp,xq) = sdtpldt0(xq,xp),
inference(superposition,[status(thm)],[c_53,c_1587]) ).
tcf(c_4422,plain,
sdtpldt0(xp,sK0) = sdtpldt0(sK0,xp),
inference(superposition,[status(thm)],[c_56,c_1587]) ).
tcf(c_4423,plain,
sdtpldt0(xp,xm) = sdtpldt0(xm,xp),
inference(superposition,[status(thm)],[c_60,c_1587]) ).
tcf(c_4424,plain,
sdtpldt0(xp,sz00) = sdtpldt0(sz00,xp),
inference(superposition,[status(thm)],[c_68,c_1587]) ).
tcf(c_4425,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xp) = sdtpldt0(xp,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_1587]) ).
tcf(c_4426,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X1,X0),xp) = sdtpldt0(xp,sK1(X1,X0)) )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_1587]) ).
tcf(c_4427,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),xp) = sdtpldt0(xp,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1587]) ).
tcf(c_4428,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xp) = sdtpldt0(xp,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_1587]) ).
tcf(c_4429,plain,
sdtpldt0(sdtasdt0(xp,xq),xp) = sdtpldt0(xp,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2351,c_1587]) ).
tcf(c_4430,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),xp) = sdtpldt0(xp,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_2447,c_1587]) ).
tcf(c_4431,plain,
sdtpldt0(sdtpldt0(xa,xb),xp) = sdtpldt0(xp,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3104,c_1587]) ).
tcf(c_4432,plain,
sdtpldt0(sdtpldt0(xp,xa),xp) = sdtpldt0(xp,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3173,c_1587]) ).
tcf(c_4433,plain,
sdtpldt0(sdtpldt0(xq,xa),xp) = sdtpldt0(xp,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3289,c_1587]) ).
tcf(c_4434,plain,
sdtpldt0(sdtpldt0(xa,sK0),xp) = sdtpldt0(xp,sdtpldt0(xa,sK0)),
inference(superposition,[status(thm)],[c_3354,c_1587]) ).
tcf(c_4435,plain,
sdtpldt0(sdtpldt0(xa,xm),xp) = sdtpldt0(xp,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3474,c_1587]) ).
tcf(c_4436,plain,
sdtpldt0(sdtpldt0(xp,xb),xp) = sdtpldt0(xp,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3831,c_1587]) ).
tcf(c_4437,plain,
sdtpldt0(sdtpldt0(xq,xb),xp) = sdtpldt0(xp,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3958,c_1587]) ).
tcf(c_4438,plain,
sdtpldt0(sdtpldt0(xb,sK0),xp) = sdtpldt0(xp,sdtpldt0(xb,sK0)),
inference(superposition,[status(thm)],[c_4039,c_1587]) ).
tcf(c_4439,plain,
sdtpldt0(sdtpldt0(xb,xm),xp) = sdtpldt0(xp,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4137,c_1587]) ).
tcf(c_4496,plain,
( aInteger0(sdtpldt0(xp,xq))
| ~ aInteger0(xq)
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_4421,c_86]) ).
tcf(c_4497,plain,
aInteger0(sdtpldt0(xp,xq)),
inference(forward_subsumption_resolution,[status(thm)],[c_4496,c_53,c_51]) ).
tcf(c_4498,plain,
sdtpldt0(sdtpldt0(xp,xq),xp) = sdtpldt0(xp,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4497,c_1587]) ).
tcf(c_4499,plain,
sdtpldt0(sdtpldt0(xp,xq),xb) = sdtpldt0(xb,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4497,c_1586]) ).
tcf(c_4500,plain,
sdtpldt0(sdtpldt0(xp,xq),xa) = sdtpldt0(xa,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4497,c_1585]) ).
tcf(c_4501,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,xq))) = smndt0(sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4497,c_1358]) ).
tcf(c_4502,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xq)),sz00) = smndt0(sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4497,c_1343]) ).
tcf(c_4503,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xq),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,xq),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4497,c_83]) ).
tcf(c_4504,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xq),X0),sdtasdt0(sdtpldt0(xp,xq),X1)) = sdtasdt0(sdtpldt0(xp,xq),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4497,c_82]) ).
tcf(c_4505,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xq),X0),X1) = sdtasdt0(sdtpldt0(xp,xq),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4497,c_88]) ).
tcf(c_4506,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xq),X0),X1) = sdtpldt0(sdtpldt0(xp,xq),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4497,c_85]) ).
tcf(c_4507,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_4497,c_1328]) ).
tcf(c_4508,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xq),X0) = sdtasdt0(X0,sdtpldt0(xp,xq)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4497,c_87]) ).
tcf(c_4509,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4497,c_1313]) ).
tcf(c_4510,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xq),X0) = sdtpldt0(X0,sdtpldt0(xp,xq)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4497,c_84]) ).
tcf(c_4511,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xq)),sdtpldt0(xp,xq)) = sz00,
inference(superposition,[status(thm)],[c_4497,c_77]) ).
tcf(c_4512,plain,
sdtpldt0(sdtpldt0(xp,xq),smndt0(sdtpldt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_4497,c_76]) ).
tcf(c_4513,plain,
sdtpldt0(sz00,sdtpldt0(xp,xq)) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_4497,c_67]) ).
tcf(c_4514,plain,
sdtpldt0(sdtpldt0(xp,xq),sz00) = sdtpldt0(xp,xq),
inference(superposition,[status(thm)],[c_4497,c_66]) ).
tcf(c_4515,plain,
sdtasdt0(sz00,sdtpldt0(xp,xq)) = sz00,
inference(superposition,[status(thm)],[c_4497,c_65]) ).
tcf(c_4516,plain,
sdtasdt0(sdtpldt0(xp,xq),sz00) = sz00,
inference(superposition,[status(thm)],[c_4497,c_64]) ).
tcf(c_4587,plain,
( aInteger0(sdtpldt0(xp,sK0))
| ~ aInteger0(sK0)
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_4422,c_86]) ).
tcf(c_4588,plain,
aInteger0(sdtpldt0(xp,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_4587,c_56,c_51]) ).
tcf(c_4589,plain,
sdtpldt0(sdtpldt0(xp,sK0),xp) = sdtpldt0(xp,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_4588,c_1587]) ).
tcf(c_4590,plain,
sdtpldt0(sdtpldt0(xp,sK0),xb) = sdtpldt0(xb,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_4588,c_1586]) ).
tcf(c_4591,plain,
sdtpldt0(sdtpldt0(xp,sK0),xa) = sdtpldt0(xa,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_4588,c_1585]) ).
tcf(c_4592,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,sK0))) = smndt0(sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_4588,c_1358]) ).
tcf(c_4593,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sK0)),sz00) = smndt0(sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_4588,c_1343]) ).
tcf(c_4594,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sK0),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,sK0),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4588,c_83]) ).
tcf(c_4595,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,sK0),X0),sdtasdt0(sdtpldt0(xp,sK0),X1)) = sdtasdt0(sdtpldt0(xp,sK0),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4588,c_82]) ).
tcf(c_4596,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,sK0),X0),X1) = sdtasdt0(sdtpldt0(xp,sK0),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4588,c_88]) ).
tcf(c_4597,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,sK0),X0),X1) = sdtpldt0(sdtpldt0(xp,sK0),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4588,c_85]) ).
tcf(c_4598,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,sK0))) = sz00,
inference(superposition,[status(thm)],[c_4588,c_1328]) ).
tcf(c_4599,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,sK0),X0) = sdtasdt0(X0,sdtpldt0(xp,sK0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4588,c_87]) ).
tcf(c_4600,plain,
sdtasdt0(smndt0(sdtpldt0(xp,sK0)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4588,c_1313]) ).
tcf(c_4601,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,sK0),X0) = sdtpldt0(X0,sdtpldt0(xp,sK0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4588,c_84]) ).
tcf(c_4602,plain,
sdtpldt0(smndt0(sdtpldt0(xp,sK0)),sdtpldt0(xp,sK0)) = sz00,
inference(superposition,[status(thm)],[c_4588,c_77]) ).
tcf(c_4603,plain,
sdtpldt0(sdtpldt0(xp,sK0),smndt0(sdtpldt0(xp,sK0))) = sz00,
inference(superposition,[status(thm)],[c_4588,c_76]) ).
tcf(c_4604,plain,
sdtpldt0(sz00,sdtpldt0(xp,sK0)) = sdtpldt0(xp,sK0),
inference(superposition,[status(thm)],[c_4588,c_67]) ).
tcf(c_4605,plain,
sdtpldt0(sdtpldt0(xp,sK0),sz00) = sdtpldt0(xp,sK0),
inference(superposition,[status(thm)],[c_4588,c_66]) ).
tcf(c_4606,plain,
sdtasdt0(sz00,sdtpldt0(xp,sK0)) = sz00,
inference(superposition,[status(thm)],[c_4588,c_65]) ).
tcf(c_4607,plain,
sdtasdt0(sdtpldt0(xp,sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_4588,c_64]) ).
tcf(c_4728,plain,
( aInteger0(sdtpldt0(xp,xm))
| ~ aInteger0(xm)
| ~ aInteger0(xp) ),
inference(superposition,[status(thm)],[c_4423,c_86]) ).
tcf(c_4729,plain,
aInteger0(sdtpldt0(xp,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_4728,c_60,c_51]) ).
tcf(c_4730,plain,
sdtpldt0(sdtpldt0(xp,xm),xp) = sdtpldt0(xp,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4729,c_1587]) ).
tcf(c_4731,plain,
sdtpldt0(sdtpldt0(xp,xm),xb) = sdtpldt0(xb,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4729,c_1586]) ).
tcf(c_4732,plain,
sdtpldt0(sdtpldt0(xp,xm),xa) = sdtpldt0(xa,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4729,c_1585]) ).
tcf(c_4733,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xp,xm))) = smndt0(sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4729,c_1358]) ).
tcf(c_4734,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xm)),sz00) = smndt0(sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4729,c_1343]) ).
tcf(c_4735,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xm),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xp,xm),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4729,c_83]) ).
tcf(c_4736,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xp,xm),X0),sdtasdt0(sdtpldt0(xp,xm),X1)) = sdtasdt0(sdtpldt0(xp,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4729,c_82]) ).
tcf(c_4737,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xp,xm),X0),X1) = sdtasdt0(sdtpldt0(xp,xm),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4729,c_88]) ).
tcf(c_4738,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xp,xm),X0),X1) = sdtpldt0(sdtpldt0(xp,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4729,c_85]) ).
tcf(c_4739,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_4729,c_1328]) ).
tcf(c_4740,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xp,xm),X0) = sdtasdt0(X0,sdtpldt0(xp,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4729,c_87]) ).
tcf(c_4741,plain,
sdtasdt0(smndt0(sdtpldt0(xp,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4729,c_1313]) ).
tcf(c_4742,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xp,xm),X0) = sdtpldt0(X0,sdtpldt0(xp,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4729,c_84]) ).
tcf(c_4743,plain,
sdtpldt0(smndt0(sdtpldt0(xp,xm)),sdtpldt0(xp,xm)) = sz00,
inference(superposition,[status(thm)],[c_4729,c_77]) ).
tcf(c_4744,plain,
sdtpldt0(sdtpldt0(xp,xm),smndt0(sdtpldt0(xp,xm))) = sz00,
inference(superposition,[status(thm)],[c_4729,c_76]) ).
tcf(c_4745,plain,
sdtpldt0(sz00,sdtpldt0(xp,xm)) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_4729,c_67]) ).
tcf(c_4746,plain,
sdtpldt0(sdtpldt0(xp,xm),sz00) = sdtpldt0(xp,xm),
inference(superposition,[status(thm)],[c_4729,c_66]) ).
tcf(c_4747,plain,
sdtasdt0(sz00,sdtpldt0(xp,xm)) = sz00,
inference(superposition,[status(thm)],[c_4729,c_65]) ).
tcf(c_4748,plain,
sdtasdt0(sdtpldt0(xp,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_4729,c_64]) ).
tcf(c_4794,plain,
( aDivisorOf0(sdtpldt0(xp,xq),sz00)
| ( sdtpldt0(xp,xq) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_4516,c_108]) ).
tcf(c_4796,plain,
( aDivisorOf0(sdtpldt0(xp,xq),sz00)
| ( sdtpldt0(xp,xq) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4794,c_68,c_4497]) ).
tcf(c_4803,plain,
( aDivisorOf0(sdtpldt0(xp,sK0),sz00)
| ( sdtpldt0(xp,sK0) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xp,sK0)) ),
inference(superposition,[status(thm)],[c_4607,c_108]) ).
tcf(c_4805,plain,
( aDivisorOf0(sdtpldt0(xp,sK0),sz00)
| ( sdtpldt0(xp,sK0) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4803,c_68,c_4588]) ).
tcf(c_4812,plain,
( aDivisorOf0(sdtpldt0(xp,xm),sz00)
| ( sdtpldt0(xp,xm) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xp,xm)) ),
inference(superposition,[status(thm)],[c_4748,c_108]) ).
tcf(c_4814,plain,
( aDivisorOf0(sdtpldt0(xp,xm),sz00)
| ( sdtpldt0(xp,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4812,c_68,c_4729]) ).
tcf(c_4836,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(xa,smndt0(xb)),sdtpldt0(xa,smndt0(xb)),X0) ),
inference(superposition,[status(thm)],[c_2457,c_70]) ).
tcf(c_4837,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sdtpldt0(xa,smndt0(xb)),sdtpldt0(xa,smndt0(xb)),X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb))) ),
inference(superposition,[status(thm)],[c_2457,c_69]) ).
tcf(c_4839,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sdtpldt0(xa,smndt0(xb)),sdtpldt0(xa,smndt0(xb)),X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,sz00) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4837,c_2447]) ).
tcf(c_4844,plain,
! [X0: $i] :
( aDivisorOf0(X0,sz00)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sdtpldt0(xa,smndt0(xb)),sdtpldt0(xa,smndt0(xb)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4836,c_2447]) ).
tcf(c_4854,plain,
( aDivisorOf0(smndt0(sdtpldt0(xp,xq)),sz00)
| ( smndt0(sdtpldt0(xp,xq)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_4509,c_108]) ).
tcf(c_4856,plain,
( aDivisorOf0(smndt0(sdtpldt0(xp,xq)),sz00)
| ( smndt0(sdtpldt0(xp,xq)) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xp,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4854,c_68]) ).
tcf(c_4864,plain,
( aDivisorOf0(smndt0(sdtpldt0(xp,sK0)),sz00)
| ( smndt0(sdtpldt0(xp,sK0)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xp,sK0))) ),
inference(superposition,[status(thm)],[c_4600,c_108]) ).
tcf(c_4866,plain,
( aDivisorOf0(smndt0(sdtpldt0(xp,sK0)),sz00)
| ( smndt0(sdtpldt0(xp,sK0)) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xp,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4864,c_68]) ).
tcf(c_4874,plain,
( aDivisorOf0(smndt0(sdtpldt0(xp,xm)),sz00)
| ( smndt0(sdtpldt0(xp,xm)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xp,xm))) ),
inference(superposition,[status(thm)],[c_4741,c_108]) ).
tcf(c_4876,plain,
( aDivisorOf0(smndt0(sdtpldt0(xp,xm)),sz00)
| ( smndt0(sdtpldt0(xp,xm)) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xp,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_4874,c_68]) ).
tcf(c_4890,plain,
sdtpldt0(xq,sK0) = sdtpldt0(sK0,xq),
inference(superposition,[status(thm)],[c_56,c_1588]) ).
tcf(c_4891,plain,
sdtpldt0(xq,xm) = sdtpldt0(xm,xq),
inference(superposition,[status(thm)],[c_60,c_1588]) ).
tcf(c_4892,plain,
sdtpldt0(sz00,xq) = sdtpldt0(xq,sz00),
inference(superposition,[status(thm)],[c_68,c_1588]) ).
tcf(c_4893,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xq) = sdtpldt0(xq,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_1588]) ).
tcf(c_4894,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X1,X0),xq) = sdtpldt0(xq,sK1(X1,X0)) )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_1588]) ).
tcf(c_4895,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),xq) = sdtpldt0(xq,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1588]) ).
tcf(c_4896,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xq) = sdtpldt0(xq,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_1588]) ).
tcf(c_4897,plain,
sdtpldt0(sdtasdt0(xp,xq),xq) = sdtpldt0(xq,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2351,c_1588]) ).
tcf(c_4898,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),xq) = sdtpldt0(xq,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_2447,c_1588]) ).
tcf(c_4899,plain,
sdtpldt0(sdtpldt0(xa,xb),xq) = sdtpldt0(xq,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3104,c_1588]) ).
tcf(c_4900,plain,
sdtpldt0(sdtpldt0(xp,xa),xq) = sdtpldt0(xq,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3173,c_1588]) ).
tcf(c_4901,plain,
sdtpldt0(sdtpldt0(xq,xa),xq) = sdtpldt0(xq,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3289,c_1588]) ).
tcf(c_4902,plain,
sdtpldt0(sdtpldt0(xa,sK0),xq) = sdtpldt0(xq,sdtpldt0(xa,sK0)),
inference(superposition,[status(thm)],[c_3354,c_1588]) ).
tcf(c_4903,plain,
sdtpldt0(sdtpldt0(xa,xm),xq) = sdtpldt0(xq,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3474,c_1588]) ).
tcf(c_4904,plain,
sdtpldt0(sdtpldt0(xp,xb),xq) = sdtpldt0(xq,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3831,c_1588]) ).
tcf(c_4905,plain,
sdtpldt0(sdtpldt0(xq,xb),xq) = sdtpldt0(xq,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3958,c_1588]) ).
tcf(c_4906,plain,
sdtpldt0(sdtpldt0(xb,sK0),xq) = sdtpldt0(xq,sdtpldt0(xb,sK0)),
inference(superposition,[status(thm)],[c_4039,c_1588]) ).
tcf(c_4907,plain,
sdtpldt0(sdtpldt0(xb,xm),xq) = sdtpldt0(xq,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4137,c_1588]) ).
tcf(c_4908,plain,
sdtpldt0(sdtpldt0(xp,xq),xq) = sdtpldt0(xq,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4497,c_1588]) ).
tcf(c_4909,plain,
sdtpldt0(sdtpldt0(xp,sK0),xq) = sdtpldt0(xq,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_4588,c_1588]) ).
tcf(c_4910,plain,
sdtpldt0(sdtpldt0(xp,xm),xq) = sdtpldt0(xq,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4729,c_1588]) ).
tcf(c_4992,plain,
( aInteger0(sdtpldt0(xq,sK0))
| ~ aInteger0(sK0)
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_4890,c_86]) ).
tcf(c_4993,plain,
aInteger0(sdtpldt0(xq,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_4992,c_56,c_53]) ).
tcf(c_4994,plain,
sdtpldt0(sdtpldt0(xq,sK0),xq) = sdtpldt0(xq,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_4993,c_1588]) ).
tcf(c_4995,plain,
sdtpldt0(sdtpldt0(xq,sK0),xp) = sdtpldt0(xp,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_4993,c_1587]) ).
tcf(c_4996,plain,
sdtpldt0(sdtpldt0(xq,sK0),xb) = sdtpldt0(xb,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_4993,c_1586]) ).
tcf(c_4997,plain,
sdtpldt0(sdtpldt0(xq,sK0),xa) = sdtpldt0(xa,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_4993,c_1585]) ).
tcf(c_4998,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,sK0))) = smndt0(sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_4993,c_1358]) ).
tcf(c_4999,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sK0)),sz00) = smndt0(sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_4993,c_1343]) ).
tcf(c_5000,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sK0),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,sK0),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4993,c_83]) ).
tcf(c_5001,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,sK0),X0),sdtasdt0(sdtpldt0(xq,sK0),X1)) = sdtasdt0(sdtpldt0(xq,sK0),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4993,c_82]) ).
tcf(c_5002,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,sK0),X0),X1) = sdtasdt0(sdtpldt0(xq,sK0),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4993,c_88]) ).
tcf(c_5003,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,sK0),X0),X1) = sdtpldt0(sdtpldt0(xq,sK0),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4993,c_85]) ).
tcf(c_5004,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,sK0))) = sz00,
inference(superposition,[status(thm)],[c_4993,c_1328]) ).
tcf(c_5005,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,sK0),X0) = sdtasdt0(X0,sdtpldt0(xq,sK0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4993,c_87]) ).
tcf(c_5006,plain,
sdtasdt0(smndt0(sdtpldt0(xq,sK0)),sz00) = sz00,
inference(superposition,[status(thm)],[c_4993,c_1313]) ).
tcf(c_5007,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,sK0),X0) = sdtpldt0(X0,sdtpldt0(xq,sK0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_4993,c_84]) ).
tcf(c_5008,plain,
sdtpldt0(smndt0(sdtpldt0(xq,sK0)),sdtpldt0(xq,sK0)) = sz00,
inference(superposition,[status(thm)],[c_4993,c_77]) ).
tcf(c_5009,plain,
sdtpldt0(sdtpldt0(xq,sK0),smndt0(sdtpldt0(xq,sK0))) = sz00,
inference(superposition,[status(thm)],[c_4993,c_76]) ).
tcf(c_5010,plain,
sdtpldt0(sz00,sdtpldt0(xq,sK0)) = sdtpldt0(xq,sK0),
inference(superposition,[status(thm)],[c_4993,c_67]) ).
tcf(c_5011,plain,
sdtpldt0(sdtpldt0(xq,sK0),sz00) = sdtpldt0(xq,sK0),
inference(superposition,[status(thm)],[c_4993,c_66]) ).
tcf(c_5012,plain,
sdtasdt0(sz00,sdtpldt0(xq,sK0)) = sz00,
inference(superposition,[status(thm)],[c_4993,c_65]) ).
tcf(c_5013,plain,
sdtasdt0(sdtpldt0(xq,sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_4993,c_64]) ).
tcf(c_5082,plain,
( aInteger0(sdtpldt0(xq,xm))
| ~ aInteger0(xm)
| ~ aInteger0(xq) ),
inference(superposition,[status(thm)],[c_4891,c_86]) ).
tcf(c_5083,plain,
aInteger0(sdtpldt0(xq,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_5082,c_60,c_53]) ).
tcf(c_5084,plain,
sdtpldt0(sdtpldt0(xq,xm),xq) = sdtpldt0(xq,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_5083,c_1588]) ).
tcf(c_5085,plain,
sdtpldt0(sdtpldt0(xq,xm),xp) = sdtpldt0(xp,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_5083,c_1587]) ).
tcf(c_5086,plain,
sdtpldt0(sdtpldt0(xq,xm),xb) = sdtpldt0(xb,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_5083,c_1586]) ).
tcf(c_5087,plain,
sdtpldt0(sdtpldt0(xq,xm),xa) = sdtpldt0(xa,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_5083,c_1585]) ).
tcf(c_5088,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xq,xm))) = smndt0(sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_5083,c_1358]) ).
tcf(c_5089,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xm)),sz00) = smndt0(sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_5083,c_1343]) ).
tcf(c_5090,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,xm),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xq,xm),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5083,c_83]) ).
tcf(c_5091,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xq,xm),X0),sdtasdt0(sdtpldt0(xq,xm),X1)) = sdtasdt0(sdtpldt0(xq,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5083,c_82]) ).
tcf(c_5092,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xq,xm),X0),X1) = sdtasdt0(sdtpldt0(xq,xm),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5083,c_88]) ).
tcf(c_5093,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xq,xm),X0),X1) = sdtpldt0(sdtpldt0(xq,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5083,c_85]) ).
tcf(c_5094,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_5083,c_1328]) ).
tcf(c_5095,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xq,xm),X0) = sdtasdt0(X0,sdtpldt0(xq,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5083,c_87]) ).
tcf(c_5096,plain,
sdtasdt0(smndt0(sdtpldt0(xq,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5083,c_1313]) ).
tcf(c_5097,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xq,xm),X0) = sdtpldt0(X0,sdtpldt0(xq,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5083,c_84]) ).
tcf(c_5098,plain,
sdtpldt0(smndt0(sdtpldt0(xq,xm)),sdtpldt0(xq,xm)) = sz00,
inference(superposition,[status(thm)],[c_5083,c_77]) ).
tcf(c_5099,plain,
sdtpldt0(sdtpldt0(xq,xm),smndt0(sdtpldt0(xq,xm))) = sz00,
inference(superposition,[status(thm)],[c_5083,c_76]) ).
tcf(c_5100,plain,
sdtpldt0(sz00,sdtpldt0(xq,xm)) = sdtpldt0(xq,xm),
inference(superposition,[status(thm)],[c_5083,c_67]) ).
tcf(c_5101,plain,
sdtpldt0(sdtpldt0(xq,xm),sz00) = sdtpldt0(xq,xm),
inference(superposition,[status(thm)],[c_5083,c_66]) ).
tcf(c_5102,plain,
sdtasdt0(sz00,sdtpldt0(xq,xm)) = sz00,
inference(superposition,[status(thm)],[c_5083,c_65]) ).
tcf(c_5103,plain,
sdtasdt0(sdtpldt0(xq,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_5083,c_64]) ).
tcf(c_5194,plain,
( aDivisorOf0(sdtpldt0(xq,sK0),sz00)
| ( sdtpldt0(xq,sK0) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xq,sK0)) ),
inference(superposition,[status(thm)],[c_5013,c_108]) ).
tcf(c_5196,plain,
( aDivisorOf0(sdtpldt0(xq,sK0),sz00)
| ( sdtpldt0(xq,sK0) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5194,c_68,c_4993]) ).
tcf(c_5203,plain,
( aDivisorOf0(sdtpldt0(xq,xm),sz00)
| ( sdtpldt0(xq,xm) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xq,xm)) ),
inference(superposition,[status(thm)],[c_5103,c_108]) ).
tcf(c_5205,plain,
( aDivisorOf0(sdtpldt0(xq,xm),sz00)
| ( sdtpldt0(xq,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5203,c_68,c_5083]) ).
tcf(c_5212,plain,
( aDivisorOf0(smndt0(sdtpldt0(xq,sK0)),sz00)
| ( smndt0(sdtpldt0(xq,sK0)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xq,sK0))) ),
inference(superposition,[status(thm)],[c_5006,c_108]) ).
tcf(c_5214,plain,
( aDivisorOf0(smndt0(sdtpldt0(xq,sK0)),sz00)
| ( smndt0(sdtpldt0(xq,sK0)) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xq,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5212,c_68]) ).
tcf(c_5222,plain,
( aDivisorOf0(smndt0(sdtpldt0(xq,xm)),sz00)
| ( smndt0(sdtpldt0(xq,xm)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xq,xm))) ),
inference(superposition,[status(thm)],[c_5096,c_108]) ).
tcf(c_5224,plain,
( aDivisorOf0(smndt0(sdtpldt0(xq,xm)),sz00)
| ( smndt0(sdtpldt0(xq,xm)) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xq,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5222,c_68]) ).
tcf(c_5241,plain,
sdtpldt0(sK0,xm) = sdtpldt0(xm,sK0),
inference(superposition,[status(thm)],[c_60,c_1589]) ).
tcf(c_5242,plain,
sdtpldt0(sz00,sK0) = sdtpldt0(sK0,sz00),
inference(superposition,[status(thm)],[c_68,c_1589]) ).
tcf(c_5243,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sK0) = sdtpldt0(sK0,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_1589]) ).
tcf(c_5244,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X1,X0),sK0) = sdtpldt0(sK0,sK1(X1,X0)) )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_1589]) ).
tcf(c_5245,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sK0) = sdtpldt0(sK0,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1589]) ).
tcf(c_5246,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sK0) = sdtpldt0(sK0,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_1589]) ).
tcf(c_5247,plain,
sdtpldt0(sdtasdt0(xp,xq),sK0) = sdtpldt0(sK0,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2351,c_1589]) ).
tcf(c_5248,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),sK0) = sdtpldt0(sK0,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_2447,c_1589]) ).
tcf(c_5249,plain,
sdtpldt0(sdtpldt0(xa,xb),sK0) = sdtpldt0(sK0,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3104,c_1589]) ).
tcf(c_5250,plain,
sdtpldt0(sdtpldt0(xp,xa),sK0) = sdtpldt0(sK0,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3173,c_1589]) ).
tcf(c_5251,plain,
sdtpldt0(sdtpldt0(xq,xa),sK0) = sdtpldt0(sK0,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3289,c_1589]) ).
tcf(c_5252,plain,
sdtpldt0(sdtpldt0(xa,sK0),sK0) = sdtpldt0(sK0,sdtpldt0(xa,sK0)),
inference(superposition,[status(thm)],[c_3354,c_1589]) ).
tcf(c_5253,plain,
sdtpldt0(sdtpldt0(xa,xm),sK0) = sdtpldt0(sK0,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3474,c_1589]) ).
tcf(c_5254,plain,
sdtpldt0(sdtpldt0(xp,xb),sK0) = sdtpldt0(sK0,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3831,c_1589]) ).
tcf(c_5255,plain,
sdtpldt0(sdtpldt0(xq,xb),sK0) = sdtpldt0(sK0,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3958,c_1589]) ).
tcf(c_5256,plain,
sdtpldt0(sdtpldt0(xb,sK0),sK0) = sdtpldt0(sK0,sdtpldt0(xb,sK0)),
inference(superposition,[status(thm)],[c_4039,c_1589]) ).
tcf(c_5257,plain,
sdtpldt0(sdtpldt0(xb,xm),sK0) = sdtpldt0(sK0,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4137,c_1589]) ).
tcf(c_5258,plain,
sdtpldt0(sdtpldt0(xp,xq),sK0) = sdtpldt0(sK0,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4497,c_1589]) ).
tcf(c_5259,plain,
sdtpldt0(sdtpldt0(xp,sK0),sK0) = sdtpldt0(sK0,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_4588,c_1589]) ).
tcf(c_5260,plain,
sdtpldt0(sdtpldt0(xp,xm),sK0) = sdtpldt0(sK0,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4729,c_1589]) ).
tcf(c_5261,plain,
sdtpldt0(sdtpldt0(xq,sK0),sK0) = sdtpldt0(sK0,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_4993,c_1589]) ).
tcf(c_5262,plain,
sdtpldt0(sdtpldt0(xq,xm),sK0) = sdtpldt0(sK0,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_5083,c_1589]) ).
tcf(c_5310,plain,
( aInteger0(sdtpldt0(xm,sK0))
| ~ aInteger0(xm)
| ~ aInteger0(sK0) ),
inference(superposition,[status(thm)],[c_5241,c_86]) ).
tcf(c_5311,plain,
aInteger0(sdtpldt0(xm,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_5310,c_60,c_56]) ).
tcf(c_5312,plain,
sdtpldt0(sdtpldt0(xm,sK0),sK0) = sdtpldt0(sK0,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_5311,c_1589]) ).
tcf(c_5313,plain,
sdtpldt0(sdtpldt0(xm,sK0),xq) = sdtpldt0(xq,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_5311,c_1588]) ).
tcf(c_5314,plain,
sdtpldt0(sdtpldt0(xm,sK0),xp) = sdtpldt0(xp,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_5311,c_1587]) ).
tcf(c_5315,plain,
sdtpldt0(sdtpldt0(xm,sK0),xb) = sdtpldt0(xb,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_5311,c_1586]) ).
tcf(c_5316,plain,
sdtpldt0(sdtpldt0(xm,sK0),xa) = sdtpldt0(xa,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_5311,c_1585]) ).
tcf(c_5317,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xm,sK0))) = smndt0(sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_5311,c_1358]) ).
tcf(c_5318,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sK0)),sz00) = smndt0(sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_5311,c_1343]) ).
tcf(c_5319,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sK0),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xm,sK0),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5311,c_83]) ).
tcf(c_5320,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xm,sK0),X0),sdtasdt0(sdtpldt0(xm,sK0),X1)) = sdtasdt0(sdtpldt0(xm,sK0),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5311,c_82]) ).
tcf(c_5321,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xm,sK0),X0),X1) = sdtasdt0(sdtpldt0(xm,sK0),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5311,c_88]) ).
tcf(c_5322,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xm,sK0),X0),X1) = sdtpldt0(sdtpldt0(xm,sK0),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5311,c_85]) ).
tcf(c_5323,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xm,sK0))) = sz00,
inference(superposition,[status(thm)],[c_5311,c_1328]) ).
tcf(c_5324,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xm,sK0),X0) = sdtasdt0(X0,sdtpldt0(xm,sK0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5311,c_87]) ).
tcf(c_5325,plain,
sdtasdt0(smndt0(sdtpldt0(xm,sK0)),sz00) = sz00,
inference(superposition,[status(thm)],[c_5311,c_1313]) ).
tcf(c_5326,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xm,sK0),X0) = sdtpldt0(X0,sdtpldt0(xm,sK0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_5311,c_84]) ).
tcf(c_5327,plain,
sdtpldt0(smndt0(sdtpldt0(xm,sK0)),sdtpldt0(xm,sK0)) = sz00,
inference(superposition,[status(thm)],[c_5311,c_77]) ).
tcf(c_5328,plain,
sdtpldt0(sdtpldt0(xm,sK0),smndt0(sdtpldt0(xm,sK0))) = sz00,
inference(superposition,[status(thm)],[c_5311,c_76]) ).
tcf(c_5329,plain,
sdtpldt0(sz00,sdtpldt0(xm,sK0)) = sdtpldt0(xm,sK0),
inference(superposition,[status(thm)],[c_5311,c_67]) ).
tcf(c_5330,plain,
sdtpldt0(sdtpldt0(xm,sK0),sz00) = sdtpldt0(xm,sK0),
inference(superposition,[status(thm)],[c_5311,c_66]) ).
tcf(c_5331,plain,
sdtasdt0(sz00,sdtpldt0(xm,sK0)) = sz00,
inference(superposition,[status(thm)],[c_5311,c_65]) ).
tcf(c_5332,plain,
sdtasdt0(sdtpldt0(xm,sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_5311,c_64]) ).
tcf(c_5445,plain,
( aDivisorOf0(sdtpldt0(xm,sK0),sz00)
| ( sdtpldt0(xm,sK0) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xm,sK0)) ),
inference(superposition,[status(thm)],[c_5332,c_108]) ).
tcf(c_5447,plain,
( aDivisorOf0(sdtpldt0(xm,sK0),sz00)
| ( sdtpldt0(xm,sK0) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5445,c_68,c_5311]) ).
tcf(c_5462,plain,
sdtpldt0(sz00,xm) = sdtpldt0(xm,sz00),
inference(superposition,[status(thm)],[c_68,c_1590]) ).
tcf(c_5463,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),xm) = sdtpldt0(xm,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_1590]) ).
tcf(c_5464,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X1,X0),xm) = sdtpldt0(xm,sK1(X1,X0)) )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_1590]) ).
tcf(c_5465,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),xm) = sdtpldt0(xm,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1590]) ).
tcf(c_5466,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),xm) = sdtpldt0(xm,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_1590]) ).
tcf(c_5467,plain,
sdtpldt0(sdtasdt0(xp,xq),xm) = sdtpldt0(xm,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2351,c_1590]) ).
tcf(c_5468,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),xm) = sdtpldt0(xm,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_2447,c_1590]) ).
tcf(c_5469,plain,
sdtpldt0(sdtpldt0(xa,xb),xm) = sdtpldt0(xm,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3104,c_1590]) ).
tcf(c_5470,plain,
sdtpldt0(sdtpldt0(xp,xa),xm) = sdtpldt0(xm,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3173,c_1590]) ).
tcf(c_5471,plain,
sdtpldt0(sdtpldt0(xq,xa),xm) = sdtpldt0(xm,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3289,c_1590]) ).
tcf(c_5472,plain,
sdtpldt0(sdtpldt0(xa,sK0),xm) = sdtpldt0(xm,sdtpldt0(xa,sK0)),
inference(superposition,[status(thm)],[c_3354,c_1590]) ).
tcf(c_5473,plain,
sdtpldt0(sdtpldt0(xa,xm),xm) = sdtpldt0(xm,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3474,c_1590]) ).
tcf(c_5474,plain,
sdtpldt0(sdtpldt0(xp,xb),xm) = sdtpldt0(xm,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3831,c_1590]) ).
tcf(c_5475,plain,
sdtpldt0(sdtpldt0(xq,xb),xm) = sdtpldt0(xm,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3958,c_1590]) ).
tcf(c_5476,plain,
sdtpldt0(sdtpldt0(xb,sK0),xm) = sdtpldt0(xm,sdtpldt0(xb,sK0)),
inference(superposition,[status(thm)],[c_4039,c_1590]) ).
tcf(c_5477,plain,
sdtpldt0(sdtpldt0(xb,xm),xm) = sdtpldt0(xm,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4137,c_1590]) ).
tcf(c_5478,plain,
sdtpldt0(sdtpldt0(xp,xq),xm) = sdtpldt0(xm,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4497,c_1590]) ).
tcf(c_5479,plain,
sdtpldt0(sdtpldt0(xp,sK0),xm) = sdtpldt0(xm,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_4588,c_1590]) ).
tcf(c_5480,plain,
sdtpldt0(sdtpldt0(xp,xm),xm) = sdtpldt0(xm,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4729,c_1590]) ).
tcf(c_5481,plain,
sdtpldt0(sdtpldt0(xq,sK0),xm) = sdtpldt0(xm,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_4993,c_1590]) ).
tcf(c_5482,plain,
sdtpldt0(sdtpldt0(xq,xm),xm) = sdtpldt0(xm,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_5083,c_1590]) ).
tcf(c_5483,plain,
sdtpldt0(sdtpldt0(xm,sK0),xm) = sdtpldt0(xm,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_5311,c_1590]) ).
tcf(c_5592,plain,
( aDivisorOf0(smndt0(sdtpldt0(xm,sK0)),sz00)
| ( smndt0(sdtpldt0(xm,sK0)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtpldt0(xm,sK0))) ),
inference(superposition,[status(thm)],[c_5325,c_108]) ).
tcf(c_5594,plain,
( aDivisorOf0(smndt0(sdtpldt0(xm,sK0)),sz00)
| ( smndt0(sdtpldt0(xm,sK0)) = sz00 )
| ~ aInteger0(smndt0(sdtpldt0(xm,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5592,c_68]) ).
tcf(c_5609,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(X0,X1),sz00) = sdtpldt0(sz00,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_1591]) ).
tcf(c_5610,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sK1(X1,X0),sz00) = sdtpldt0(sz00,sK1(X1,X0)) )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_1591]) ).
tcf(c_5611,plain,
! [X0: $i] :
( ( sdtpldt0(smndt0(X0),sz00) = sdtpldt0(sz00,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1591]) ).
tcf(c_5612,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(X0,X1),sz00) = sdtpldt0(sz00,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_1591]) ).
tcf(c_5613,plain,
sdtpldt0(sdtasdt0(xp,xq),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2351,c_1591]) ).
tcf(c_5614,plain,
sdtpldt0(sdtpldt0(xa,smndt0(xb)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_2447,c_1591]) ).
tcf(c_5615,plain,
sdtpldt0(sdtpldt0(xa,xb),sz00) = sdtpldt0(sz00,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3104,c_1591]) ).
tcf(c_5616,plain,
sdtpldt0(sdtpldt0(xp,xa),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3173,c_1591]) ).
tcf(c_5617,plain,
sdtpldt0(sdtpldt0(xq,xa),sz00) = sdtpldt0(sz00,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3289,c_1591]) ).
tcf(c_5618,plain,
sdtpldt0(sdtpldt0(xa,sK0),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sK0)),
inference(superposition,[status(thm)],[c_3354,c_1591]) ).
tcf(c_5619,plain,
sdtpldt0(sdtpldt0(xa,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3474,c_1591]) ).
tcf(c_5620,plain,
sdtpldt0(sdtpldt0(xp,xb),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3831,c_1591]) ).
tcf(c_5621,plain,
sdtpldt0(sdtpldt0(xq,xb),sz00) = sdtpldt0(sz00,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3958,c_1591]) ).
tcf(c_5622,plain,
sdtpldt0(sdtpldt0(xb,sK0),sz00) = sdtpldt0(sz00,sdtpldt0(xb,sK0)),
inference(superposition,[status(thm)],[c_4039,c_1591]) ).
tcf(c_5623,plain,
sdtpldt0(sdtpldt0(xb,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4137,c_1591]) ).
tcf(c_5624,plain,
sdtpldt0(sdtpldt0(xp,xq),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4497,c_1591]) ).
tcf(c_5625,plain,
sdtpldt0(sdtpldt0(xp,sK0),sz00) = sdtpldt0(sz00,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_4588,c_1591]) ).
tcf(c_5626,plain,
sdtpldt0(sdtpldt0(xp,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4729,c_1591]) ).
tcf(c_5627,plain,
sdtpldt0(sdtpldt0(xq,sK0),sz00) = sdtpldt0(sz00,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_4993,c_1591]) ).
tcf(c_5628,plain,
sdtpldt0(sdtpldt0(xq,xm),sz00) = sdtpldt0(sz00,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_5083,c_1591]) ).
tcf(c_5629,plain,
sdtpldt0(sdtpldt0(xm,sK0),sz00) = sdtpldt0(sz00,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_5311,c_1591]) ).
tcf(c_5662,plain,
sdtasdt0(smndt0(smndt0(xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_49,c_1672]) ).
tcf(c_5663,plain,
sdtasdt0(smndt0(smndt0(xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_50,c_1672]) ).
tcf(c_5664,plain,
sdtasdt0(smndt0(smndt0(xp)),sz00) = sz00,
inference(superposition,[status(thm)],[c_51,c_1672]) ).
tcf(c_5665,plain,
sdtasdt0(smndt0(smndt0(xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_53,c_1672]) ).
tcf(c_5666,plain,
sdtasdt0(smndt0(smndt0(sK0)),sz00) = sz00,
inference(superposition,[status(thm)],[c_56,c_1672]) ).
tcf(c_5667,plain,
sdtasdt0(smndt0(smndt0(xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_60,c_1672]) ).
tcf(c_5668,plain,
sdtasdt0(smndt0(smndt0(sz00)),sz00) = sz00,
inference(superposition,[status(thm)],[c_68,c_1672]) ).
tcf(c_5669,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(sdtasdt0(X0,X1))),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_1672]) ).
tcf(c_5670,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(sK1(X1,X0))),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_1672]) ).
tcf(c_5671,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(smndt0(smndt0(X0))),sz00) = sz00 )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1672]) ).
tcf(c_5672,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(smndt0(smndt0(sdtpldt0(X0,X1))),sz00) = sz00 )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_1672]) ).
tcf(c_5673,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2351,c_1672]) ).
tcf(c_5674,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,smndt0(xb)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_2447,c_1672]) ).
tcf(c_5675,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3104,c_1672]) ).
tcf(c_5676,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3173,c_1672]) ).
tcf(c_5677,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3289,c_1672]) ).
tcf(c_5678,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sK0))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3354,c_1672]) ).
tcf(c_5679,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3474,c_1672]) ).
tcf(c_5680,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3831,c_1672]) ).
tcf(c_5681,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_3958,c_1672]) ).
tcf(c_5682,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,sK0))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4039,c_1672]) ).
tcf(c_5683,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xb,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4137,c_1672]) ).
tcf(c_5684,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4497,c_1672]) ).
tcf(c_5685,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,sK0))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4588,c_1672]) ).
tcf(c_5686,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xp,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4729,c_1672]) ).
tcf(c_5687,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,sK0))),sz00) = sz00,
inference(superposition,[status(thm)],[c_4993,c_1672]) ).
tcf(c_5688,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xq,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_5083,c_1672]) ).
tcf(c_5689,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xm,sK0))),sz00) = sz00,
inference(superposition,[status(thm)],[c_5311,c_1672]) ).
tcf(c_5794,plain,
( aDivisorOf0(smndt0(smndt0(xa)),sz00)
| ( smndt0(smndt0(xa)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(xa))) ),
inference(superposition,[status(thm)],[c_5662,c_108]) ).
tcf(c_5796,plain,
( aDivisorOf0(smndt0(smndt0(xa)),sz00)
| ( smndt0(smndt0(xa)) = sz00 )
| ~ aInteger0(smndt0(smndt0(xa))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5794,c_68]) ).
tcf(c_5801,plain,
( aDivisorOf0(smndt0(smndt0(xb)),sz00)
| ( smndt0(smndt0(xb)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(superposition,[status(thm)],[c_5663,c_108]) ).
tcf(c_5803,plain,
( aDivisorOf0(smndt0(smndt0(xb)),sz00)
| ( smndt0(smndt0(xb)) = sz00 )
| ~ aInteger0(smndt0(smndt0(xb))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5801,c_68]) ).
tcf(c_5808,plain,
( aDivisorOf0(smndt0(smndt0(xp)),sz00)
| ( smndt0(smndt0(xp)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(xp))) ),
inference(superposition,[status(thm)],[c_5664,c_108]) ).
tcf(c_5810,plain,
( aDivisorOf0(smndt0(smndt0(xp)),sz00)
| ( smndt0(smndt0(xp)) = sz00 )
| ~ aInteger0(smndt0(smndt0(xp))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5808,c_68]) ).
tcf(c_5831,plain,
( aDivisorOf0(smndt0(smndt0(xq)),sz00)
| ( smndt0(smndt0(xq)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(xq))) ),
inference(superposition,[status(thm)],[c_5665,c_108]) ).
tcf(c_5833,plain,
( aDivisorOf0(smndt0(smndt0(xq)),sz00)
| ( smndt0(smndt0(xq)) = sz00 )
| ~ aInteger0(smndt0(smndt0(xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5831,c_68]) ).
tcf(c_5838,plain,
( aDivisorOf0(smndt0(smndt0(sK0)),sz00)
| ( smndt0(smndt0(sK0)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sK0))) ),
inference(superposition,[status(thm)],[c_5666,c_108]) ).
tcf(c_5840,plain,
( aDivisorOf0(smndt0(smndt0(sK0)),sz00)
| ( smndt0(smndt0(sK0)) = sz00 )
| ~ aInteger0(smndt0(smndt0(sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5838,c_68]) ).
tcf(c_5845,plain,
( aDivisorOf0(smndt0(smndt0(xm)),sz00)
| ( smndt0(smndt0(xm)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(xm))) ),
inference(superposition,[status(thm)],[c_5667,c_108]) ).
tcf(c_5847,plain,
( aDivisorOf0(smndt0(smndt0(xm)),sz00)
| ( smndt0(smndt0(xm)) = sz00 )
| ~ aInteger0(smndt0(smndt0(xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5845,c_68]) ).
tcf(c_5852,plain,
( aDivisorOf0(smndt0(smndt0(sdtasdt0(xp,xq))),sz00)
| ( smndt0(smndt0(sdtasdt0(xp,xq))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtasdt0(xp,xq)))) ),
inference(superposition,[status(thm)],[c_5673,c_108]) ).
tcf(c_5854,plain,
( aDivisorOf0(smndt0(smndt0(sdtasdt0(xp,xq))),sz00)
| ( smndt0(smndt0(sdtasdt0(xp,xq))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtasdt0(xp,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5852,c_68]) ).
tcf(c_5859,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xa,xb))),sz00)
| ( smndt0(smndt0(sdtpldt0(xa,xb))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xa,xb)))) ),
inference(superposition,[status(thm)],[c_5675,c_108]) ).
tcf(c_5861,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xa,xb))),sz00)
| ( smndt0(smndt0(sdtpldt0(xa,xb))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xa,xb)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_5859,c_68]) ).
tcf(c_5871,plain,
sdtasdt0(xa,xb) = sdtasdt0(xb,xa),
inference(superposition,[status(thm)],[c_50,c_1701]) ).
tcf(c_5872,plain,
sdtasdt0(xa,xp) = sdtasdt0(xp,xa),
inference(superposition,[status(thm)],[c_51,c_1701]) ).
tcf(c_5873,plain,
sdtasdt0(xa,xq) = sdtasdt0(xq,xa),
inference(superposition,[status(thm)],[c_53,c_1701]) ).
tcf(c_5874,plain,
sdtasdt0(xa,sK0) = sdtasdt0(sK0,xa),
inference(superposition,[status(thm)],[c_56,c_1701]) ).
tcf(c_5875,plain,
sdtasdt0(xa,xm) = sdtasdt0(xm,xa),
inference(superposition,[status(thm)],[c_60,c_1701]) ).
tcf(c_5876,plain,
sdtasdt0(xa,sz00) = sdtasdt0(sz00,xa),
inference(superposition,[status(thm)],[c_68,c_1701]) ).
tcf(c_5877,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xa) = sdtasdt0(xa,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_1701]) ).
tcf(c_5878,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X1,X0),xa) = sdtasdt0(xa,sK1(X1,X0)) )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_1701]) ).
tcf(c_5879,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),xa) = sdtasdt0(xa,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1701]) ).
tcf(c_5880,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xa) = sdtasdt0(xa,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_1701]) ).
tcf(c_5881,plain,
sdtasdt0(sdtasdt0(xp,xq),xa) = sdtasdt0(xa,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2351,c_1701]) ).
tcf(c_5882,plain,
sdtasdt0(sdtpldt0(xa,smndt0(xb)),xa) = sdtasdt0(xa,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_2447,c_1701]) ).
tcf(c_5883,plain,
sdtasdt0(sdtpldt0(xa,xb),xa) = sdtasdt0(xa,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3104,c_1701]) ).
tcf(c_5884,plain,
sdtasdt0(sdtpldt0(xp,xa),xa) = sdtasdt0(xa,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3173,c_1701]) ).
tcf(c_5885,plain,
sdtasdt0(sdtpldt0(xq,xa),xa) = sdtasdt0(xa,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3289,c_1701]) ).
tcf(c_5886,plain,
sdtasdt0(sdtpldt0(xa,sK0),xa) = sdtasdt0(xa,sdtpldt0(xa,sK0)),
inference(superposition,[status(thm)],[c_3354,c_1701]) ).
tcf(c_5887,plain,
sdtasdt0(sdtpldt0(xa,xm),xa) = sdtasdt0(xa,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3474,c_1701]) ).
tcf(c_5888,plain,
sdtasdt0(sdtpldt0(xp,xb),xa) = sdtasdt0(xa,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3831,c_1701]) ).
tcf(c_5889,plain,
sdtasdt0(sdtpldt0(xq,xb),xa) = sdtasdt0(xa,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3958,c_1701]) ).
tcf(c_5890,plain,
sdtasdt0(sdtpldt0(xb,sK0),xa) = sdtasdt0(xa,sdtpldt0(xb,sK0)),
inference(superposition,[status(thm)],[c_4039,c_1701]) ).
tcf(c_5891,plain,
sdtasdt0(sdtpldt0(xb,xm),xa) = sdtasdt0(xa,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4137,c_1701]) ).
tcf(c_5892,plain,
sdtasdt0(sdtpldt0(xp,xq),xa) = sdtasdt0(xa,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4497,c_1701]) ).
tcf(c_5893,plain,
sdtasdt0(sdtpldt0(xp,sK0),xa) = sdtasdt0(xa,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_4588,c_1701]) ).
tcf(c_5894,plain,
sdtasdt0(sdtpldt0(xp,xm),xa) = sdtasdt0(xa,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4729,c_1701]) ).
tcf(c_5895,plain,
sdtasdt0(sdtpldt0(xq,sK0),xa) = sdtasdt0(xa,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_4993,c_1701]) ).
tcf(c_5896,plain,
sdtasdt0(sdtpldt0(xq,xm),xa) = sdtasdt0(xa,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_5083,c_1701]) ).
tcf(c_5897,plain,
sdtasdt0(sdtpldt0(xm,sK0),xa) = sdtasdt0(xa,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_5311,c_1701]) ).
tcf(c_6023,plain,
( ( xb = sz00 )
| ( xa = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(xa)
| ( sdtasdt0(xa,xb) != sz00 ) ),
inference(superposition,[status(thm)],[c_5871,c_63]) ).
tcf(c_6024,plain,
( aDivisorOf0(xb,sdtasdt0(xa,xb))
| ( xb = sz00 )
| ~ aInteger0(xb)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_5871,c_108]) ).
tcf(c_6025,plain,
( aInteger0(sdtasdt0(xa,xb))
| ~ aInteger0(xb)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_5871,c_89]) ).
tcf(c_6026,plain,
aInteger0(sdtasdt0(xa,xb)),
inference(forward_subsumption_resolution,[status(thm)],[c_6025,c_50,c_49]) ).
tcf(c_6027,plain,
( aDivisorOf0(xb,sdtasdt0(xa,xb))
| ( xb = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6024,c_50,c_49]) ).
tcf(c_6030,plain,
( ( xb = sz00 )
| ( xa = sz00 )
| ( sdtasdt0(xa,xb) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6023,c_50,c_49]) ).
tcf(c_6034,plain,
sdtasdt0(sdtasdt0(xa,xb),xa) = sdtasdt0(xa,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_6026,c_1701]) ).
tcf(c_6035,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,xb))),sz00) = sz00,
inference(superposition,[status(thm)],[c_6026,c_1672]) ).
tcf(c_6036,plain,
sdtpldt0(sdtasdt0(xa,xb),sz00) = sdtpldt0(sz00,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_6026,c_1591]) ).
tcf(c_6037,plain,
sdtpldt0(sdtasdt0(xa,xb),xm) = sdtpldt0(xm,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_6026,c_1590]) ).
tcf(c_6038,plain,
sdtpldt0(sdtasdt0(xa,xb),sK0) = sdtpldt0(sK0,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_6026,c_1589]) ).
tcf(c_6039,plain,
sdtpldt0(sdtasdt0(xa,xb),xq) = sdtpldt0(xq,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_6026,c_1588]) ).
tcf(c_6040,plain,
sdtpldt0(sdtasdt0(xa,xb),xp) = sdtpldt0(xp,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_6026,c_1587]) ).
tcf(c_6041,plain,
sdtpldt0(sdtasdt0(xa,xb),xb) = sdtpldt0(xb,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_6026,c_1586]) ).
tcf(c_6042,plain,
sdtpldt0(sdtasdt0(xa,xb),xa) = sdtpldt0(xa,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_6026,c_1585]) ).
tcf(c_6043,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,xb))) = smndt0(sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_6026,c_1358]) ).
tcf(c_6044,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xb)),sz00) = smndt0(sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_6026,c_1343]) ).
tcf(c_6045,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,xb),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,xb),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6026,c_83]) ).
tcf(c_6046,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,xb),X0),sdtasdt0(sdtasdt0(xa,xb),X1)) = sdtasdt0(sdtasdt0(xa,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6026,c_82]) ).
tcf(c_6047,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,xb),X0),X1) = sdtasdt0(sdtasdt0(xa,xb),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6026,c_88]) ).
tcf(c_6048,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,xb),X0),X1) = sdtpldt0(sdtasdt0(xa,xb),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6026,c_85]) ).
tcf(c_6049,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_6026,c_1328]) ).
tcf(c_6050,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,xb),X0) = sdtasdt0(X0,sdtasdt0(xa,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6026,c_87]) ).
tcf(c_6051,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xb)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6026,c_1313]) ).
tcf(c_6052,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,xb),X0) = sdtpldt0(X0,sdtasdt0(xa,xb)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6026,c_84]) ).
tcf(c_6053,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xb)),sdtasdt0(xa,xb)) = sz00,
inference(superposition,[status(thm)],[c_6026,c_77]) ).
tcf(c_6054,plain,
sdtpldt0(sdtasdt0(xa,xb),smndt0(sdtasdt0(xa,xb))) = sz00,
inference(superposition,[status(thm)],[c_6026,c_76]) ).
tcf(c_6055,plain,
sdtpldt0(sz00,sdtasdt0(xa,xb)) = sdtasdt0(xa,xb),
inference(superposition,[status(thm)],[c_6026,c_67]) ).
tcf(c_6056,plain,
sdtpldt0(sdtasdt0(xa,xb),sz00) = sdtasdt0(xa,xb),
inference(superposition,[status(thm)],[c_6026,c_66]) ).
tcf(c_6057,plain,
sdtasdt0(sz00,sdtasdt0(xa,xb)) = sz00,
inference(superposition,[status(thm)],[c_6026,c_65]) ).
tcf(c_6058,plain,
sdtasdt0(sdtasdt0(xa,xb),sz00) = sz00,
inference(superposition,[status(thm)],[c_6026,c_64]) ).
tcf(c_6183,plain,
( ( xp = sz00 )
| ( xa = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(xa)
| ( sdtasdt0(xp,xa) != sz00 ) ),
inference(superposition,[status(thm)],[c_5872,c_63]) ).
tcf(c_6184,plain,
( aDivisorOf0(xa,sdtasdt0(xp,xa))
| ( xa = sz00 )
| ~ aInteger0(xp)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_5872,c_108]) ).
tcf(c_6185,plain,
( aInteger0(sdtasdt0(xp,xa))
| ~ aInteger0(xp)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_5872,c_89]) ).
tcf(c_6186,plain,
aInteger0(sdtasdt0(xp,xa)),
inference(forward_subsumption_resolution,[status(thm)],[c_6185,c_51,c_49]) ).
tcf(c_6187,plain,
( aDivisorOf0(xa,sdtasdt0(xp,xa))
| ( xa = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6184,c_51,c_49]) ).
tcf(c_6190,plain,
( ( xa = sz00 )
| ( sdtasdt0(xp,xa) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6183,c_52,c_51,c_49]) ).
tcf(c_6193,plain,
sdtasdt0(sdtasdt0(xp,xa),xa) = sdtasdt0(xa,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_6186,c_1701]) ).
tcf(c_6194,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xp,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_6186,c_1672]) ).
tcf(c_6195,plain,
sdtpldt0(sdtasdt0(xp,xa),sz00) = sdtpldt0(sz00,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_6186,c_1591]) ).
tcf(c_6196,plain,
sdtpldt0(sdtasdt0(xp,xa),xm) = sdtpldt0(xm,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_6186,c_1590]) ).
tcf(c_6197,plain,
sdtpldt0(sdtasdt0(xp,xa),sK0) = sdtpldt0(sK0,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_6186,c_1589]) ).
tcf(c_6198,plain,
sdtpldt0(sdtasdt0(xp,xa),xq) = sdtpldt0(xq,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_6186,c_1588]) ).
tcf(c_6199,plain,
sdtpldt0(sdtasdt0(xp,xa),xp) = sdtpldt0(xp,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_6186,c_1587]) ).
tcf(c_6200,plain,
sdtpldt0(sdtasdt0(xp,xa),xb) = sdtpldt0(xb,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_6186,c_1586]) ).
tcf(c_6201,plain,
sdtpldt0(sdtasdt0(xp,xa),xa) = sdtpldt0(xa,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_6186,c_1585]) ).
tcf(c_6202,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xp,xa))) = smndt0(sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_6186,c_1358]) ).
tcf(c_6203,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xa)),sz00) = smndt0(sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_6186,c_1343]) ).
tcf(c_6204,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xa),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xp,xa),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6186,c_83]) ).
tcf(c_6205,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xp,xa),X0),sdtasdt0(sdtasdt0(xp,xa),X1)) = sdtasdt0(sdtasdt0(xp,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6186,c_82]) ).
tcf(c_6206,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xp,xa),X0),X1) = sdtasdt0(sdtasdt0(xp,xa),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6186,c_88]) ).
tcf(c_6207,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xp,xa),X0),X1) = sdtpldt0(sdtasdt0(xp,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6186,c_85]) ).
tcf(c_6208,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_6186,c_1328]) ).
tcf(c_6209,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xp,xa),X0) = sdtasdt0(X0,sdtasdt0(xp,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6186,c_87]) ).
tcf(c_6210,plain,
sdtasdt0(smndt0(sdtasdt0(xp,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6186,c_1313]) ).
tcf(c_6211,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xp,xa),X0) = sdtpldt0(X0,sdtasdt0(xp,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6186,c_84]) ).
tcf(c_6212,plain,
sdtpldt0(smndt0(sdtasdt0(xp,xa)),sdtasdt0(xp,xa)) = sz00,
inference(superposition,[status(thm)],[c_6186,c_77]) ).
tcf(c_6213,plain,
sdtpldt0(sdtasdt0(xp,xa),smndt0(sdtasdt0(xp,xa))) = sz00,
inference(superposition,[status(thm)],[c_6186,c_76]) ).
tcf(c_6214,plain,
sdtpldt0(sz00,sdtasdt0(xp,xa)) = sdtasdt0(xp,xa),
inference(superposition,[status(thm)],[c_6186,c_67]) ).
tcf(c_6215,plain,
sdtpldt0(sdtasdt0(xp,xa),sz00) = sdtasdt0(xp,xa),
inference(superposition,[status(thm)],[c_6186,c_66]) ).
tcf(c_6216,plain,
sdtasdt0(sz00,sdtasdt0(xp,xa)) = sz00,
inference(superposition,[status(thm)],[c_6186,c_65]) ).
tcf(c_6217,plain,
sdtasdt0(sdtasdt0(xp,xa),sz00) = sz00,
inference(superposition,[status(thm)],[c_6186,c_64]) ).
tcf(c_6279,plain,
( ( sz00 = xq )
| ( xa = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(xa)
| ( sdtasdt0(xq,xa) != sz00 ) ),
inference(superposition,[status(thm)],[c_5873,c_63]) ).
tcf(c_6280,plain,
( aDivisorOf0(xa,sdtasdt0(xq,xa))
| ( xa = sz00 )
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_5873,c_108]) ).
tcf(c_6281,plain,
( aInteger0(sdtasdt0(xq,xa))
| ~ aInteger0(xq)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_5873,c_89]) ).
tcf(c_6282,plain,
aInteger0(sdtasdt0(xq,xa)),
inference(forward_subsumption_resolution,[status(thm)],[c_6281,c_53,c_49]) ).
tcf(c_6283,plain,
( aDivisorOf0(xa,sdtasdt0(xq,xa))
| ( xa = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6280,c_53,c_49]) ).
tcf(c_6286,plain,
( ( xa = sz00 )
| ( sdtasdt0(xq,xa) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6279,c_54,c_53,c_49]) ).
tcf(c_6302,plain,
sdtasdt0(sdtasdt0(xq,xa),xa) = sdtasdt0(xa,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_6282,c_1701]) ).
tcf(c_6303,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xq,xa))),sz00) = sz00,
inference(superposition,[status(thm)],[c_6282,c_1672]) ).
tcf(c_6304,plain,
sdtpldt0(sdtasdt0(xq,xa),sz00) = sdtpldt0(sz00,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_6282,c_1591]) ).
tcf(c_6305,plain,
sdtpldt0(sdtasdt0(xq,xa),xm) = sdtpldt0(xm,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_6282,c_1590]) ).
tcf(c_6306,plain,
sdtpldt0(sdtasdt0(xq,xa),sK0) = sdtpldt0(sK0,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_6282,c_1589]) ).
tcf(c_6307,plain,
sdtpldt0(sdtasdt0(xq,xa),xq) = sdtpldt0(xq,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_6282,c_1588]) ).
tcf(c_6308,plain,
sdtpldt0(sdtasdt0(xq,xa),xp) = sdtpldt0(xp,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_6282,c_1587]) ).
tcf(c_6309,plain,
sdtpldt0(sdtasdt0(xq,xa),xb) = sdtpldt0(xb,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_6282,c_1586]) ).
tcf(c_6310,plain,
sdtpldt0(sdtasdt0(xq,xa),xa) = sdtpldt0(xa,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_6282,c_1585]) ).
tcf(c_6311,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xq,xa))) = smndt0(sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_6282,c_1358]) ).
tcf(c_6312,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xa)),sz00) = smndt0(sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_6282,c_1343]) ).
tcf(c_6313,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,xa),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xq,xa),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6282,c_83]) ).
tcf(c_6314,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xq,xa),X0),sdtasdt0(sdtasdt0(xq,xa),X1)) = sdtasdt0(sdtasdt0(xq,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6282,c_82]) ).
tcf(c_6315,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xq,xa),X0),X1) = sdtasdt0(sdtasdt0(xq,xa),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6282,c_88]) ).
tcf(c_6316,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xq,xa),X0),X1) = sdtpldt0(sdtasdt0(xq,xa),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6282,c_85]) ).
tcf(c_6317,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_6282,c_1328]) ).
tcf(c_6318,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xq,xa),X0) = sdtasdt0(X0,sdtasdt0(xq,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6282,c_87]) ).
tcf(c_6319,plain,
sdtasdt0(smndt0(sdtasdt0(xq,xa)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6282,c_1313]) ).
tcf(c_6320,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xq,xa),X0) = sdtpldt0(X0,sdtasdt0(xq,xa)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6282,c_84]) ).
tcf(c_6321,plain,
sdtpldt0(smndt0(sdtasdt0(xq,xa)),sdtasdt0(xq,xa)) = sz00,
inference(superposition,[status(thm)],[c_6282,c_77]) ).
tcf(c_6322,plain,
sdtpldt0(sdtasdt0(xq,xa),smndt0(sdtasdt0(xq,xa))) = sz00,
inference(superposition,[status(thm)],[c_6282,c_76]) ).
tcf(c_6323,plain,
sdtpldt0(sz00,sdtasdt0(xq,xa)) = sdtasdt0(xq,xa),
inference(superposition,[status(thm)],[c_6282,c_67]) ).
tcf(c_6324,plain,
sdtpldt0(sdtasdt0(xq,xa),sz00) = sdtasdt0(xq,xa),
inference(superposition,[status(thm)],[c_6282,c_66]) ).
tcf(c_6325,plain,
sdtasdt0(sz00,sdtasdt0(xq,xa)) = sz00,
inference(superposition,[status(thm)],[c_6282,c_65]) ).
tcf(c_6326,plain,
sdtasdt0(sdtasdt0(xq,xa),sz00) = sz00,
inference(superposition,[status(thm)],[c_6282,c_64]) ).
tcf(c_6418,plain,
( ( sz00 = sK0 )
| ( xa = sz00 )
| ~ aInteger0(sK0)
| ~ aInteger0(xa)
| ( sdtasdt0(xa,sK0) != sz00 ) ),
inference(superposition,[status(thm)],[c_5874,c_63]) ).
tcf(c_6419,plain,
( aDivisorOf0(sK0,sdtasdt0(xa,sK0))
| ( sz00 = sK0 )
| ~ aInteger0(sK0)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_5874,c_108]) ).
tcf(c_6420,plain,
( aInteger0(sdtasdt0(xa,sK0))
| ~ aInteger0(sK0)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_5874,c_89]) ).
tcf(c_6421,plain,
aInteger0(sdtasdt0(xa,sK0)),
inference(forward_subsumption_resolution,[status(thm)],[c_6420,c_56,c_49]) ).
tcf(c_6422,plain,
( aDivisorOf0(sK0,sdtasdt0(xa,sK0))
| ( sz00 = sK0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6419,c_56,c_49]) ).
tcf(c_6425,plain,
( ( sz00 = sK0 )
| ( xa = sz00 )
| ( sdtasdt0(xa,sK0) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6418,c_56,c_49]) ).
tcf(c_6429,plain,
sdtasdt0(sdtasdt0(xa,sK0),xa) = sdtasdt0(xa,sdtasdt0(xa,sK0)),
inference(superposition,[status(thm)],[c_6421,c_1701]) ).
tcf(c_6430,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,sK0))),sz00) = sz00,
inference(superposition,[status(thm)],[c_6421,c_1672]) ).
tcf(c_6431,plain,
sdtpldt0(sdtasdt0(xa,sK0),sz00) = sdtpldt0(sz00,sdtasdt0(xa,sK0)),
inference(superposition,[status(thm)],[c_6421,c_1591]) ).
tcf(c_6432,plain,
sdtpldt0(sdtasdt0(xa,sK0),xm) = sdtpldt0(xm,sdtasdt0(xa,sK0)),
inference(superposition,[status(thm)],[c_6421,c_1590]) ).
tcf(c_6433,plain,
sdtpldt0(sdtasdt0(xa,sK0),sK0) = sdtpldt0(sK0,sdtasdt0(xa,sK0)),
inference(superposition,[status(thm)],[c_6421,c_1589]) ).
tcf(c_6434,plain,
sdtpldt0(sdtasdt0(xa,sK0),xq) = sdtpldt0(xq,sdtasdt0(xa,sK0)),
inference(superposition,[status(thm)],[c_6421,c_1588]) ).
tcf(c_6435,plain,
sdtpldt0(sdtasdt0(xa,sK0),xp) = sdtpldt0(xp,sdtasdt0(xa,sK0)),
inference(superposition,[status(thm)],[c_6421,c_1587]) ).
tcf(c_6436,plain,
sdtpldt0(sdtasdt0(xa,sK0),xb) = sdtpldt0(xb,sdtasdt0(xa,sK0)),
inference(superposition,[status(thm)],[c_6421,c_1586]) ).
tcf(c_6437,plain,
sdtpldt0(sdtasdt0(xa,sK0),xa) = sdtpldt0(xa,sdtasdt0(xa,sK0)),
inference(superposition,[status(thm)],[c_6421,c_1585]) ).
tcf(c_6438,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,sK0))) = smndt0(sdtasdt0(xa,sK0)),
inference(superposition,[status(thm)],[c_6421,c_1358]) ).
tcf(c_6439,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sK0)),sz00) = smndt0(sdtasdt0(xa,sK0)),
inference(superposition,[status(thm)],[c_6421,c_1343]) ).
tcf(c_6440,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sK0),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,sK0),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6421,c_83]) ).
tcf(c_6441,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,sK0),X0),sdtasdt0(sdtasdt0(xa,sK0),X1)) = sdtasdt0(sdtasdt0(xa,sK0),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6421,c_82]) ).
tcf(c_6442,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,sK0),X0),X1) = sdtasdt0(sdtasdt0(xa,sK0),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6421,c_88]) ).
tcf(c_6443,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,sK0),X0),X1) = sdtpldt0(sdtasdt0(xa,sK0),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6421,c_85]) ).
tcf(c_6444,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,sK0))) = sz00,
inference(superposition,[status(thm)],[c_6421,c_1328]) ).
tcf(c_6445,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,sK0),X0) = sdtasdt0(X0,sdtasdt0(xa,sK0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6421,c_87]) ).
tcf(c_6446,plain,
sdtasdt0(smndt0(sdtasdt0(xa,sK0)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6421,c_1313]) ).
tcf(c_6447,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,sK0),X0) = sdtpldt0(X0,sdtasdt0(xa,sK0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6421,c_84]) ).
tcf(c_6448,plain,
sdtpldt0(smndt0(sdtasdt0(xa,sK0)),sdtasdt0(xa,sK0)) = sz00,
inference(superposition,[status(thm)],[c_6421,c_77]) ).
tcf(c_6449,plain,
sdtpldt0(sdtasdt0(xa,sK0),smndt0(sdtasdt0(xa,sK0))) = sz00,
inference(superposition,[status(thm)],[c_6421,c_76]) ).
tcf(c_6450,plain,
sdtpldt0(sz00,sdtasdt0(xa,sK0)) = sdtasdt0(xa,sK0),
inference(superposition,[status(thm)],[c_6421,c_67]) ).
tcf(c_6451,plain,
sdtpldt0(sdtasdt0(xa,sK0),sz00) = sdtasdt0(xa,sK0),
inference(superposition,[status(thm)],[c_6421,c_66]) ).
tcf(c_6452,plain,
sdtasdt0(sz00,sdtasdt0(xa,sK0)) = sz00,
inference(superposition,[status(thm)],[c_6421,c_65]) ).
tcf(c_6453,plain,
sdtasdt0(sdtasdt0(xa,sK0),sz00) = sz00,
inference(superposition,[status(thm)],[c_6421,c_64]) ).
tcf(c_6539,plain,
( ( sz00 = xm )
| ( xa = sz00 )
| ~ aInteger0(xm)
| ~ aInteger0(xa)
| ( sdtasdt0(xa,xm) != sz00 ) ),
inference(superposition,[status(thm)],[c_5875,c_63]) ).
tcf(c_6540,plain,
( aDivisorOf0(xm,sdtasdt0(xa,xm))
| ( sz00 = xm )
| ~ aInteger0(xm)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_5875,c_108]) ).
tcf(c_6541,plain,
( aInteger0(sdtasdt0(xa,xm))
| ~ aInteger0(xm)
| ~ aInteger0(xa) ),
inference(superposition,[status(thm)],[c_5875,c_89]) ).
tcf(c_6542,plain,
aInteger0(sdtasdt0(xa,xm)),
inference(forward_subsumption_resolution,[status(thm)],[c_6541,c_60,c_49]) ).
tcf(c_6543,plain,
( aDivisorOf0(xm,sdtasdt0(xa,xm))
| ( sz00 = xm ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6540,c_60,c_49]) ).
tcf(c_6546,plain,
( ( sz00 = xm )
| ( xa = sz00 )
| ( sdtasdt0(xa,xm) != sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6539,c_60,c_49]) ).
tcf(c_6588,plain,
sdtasdt0(sdtasdt0(xa,xm),xa) = sdtasdt0(xa,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_6542,c_1701]) ).
tcf(c_6589,plain,
sdtasdt0(smndt0(smndt0(sdtasdt0(xa,xm))),sz00) = sz00,
inference(superposition,[status(thm)],[c_6542,c_1672]) ).
tcf(c_6590,plain,
sdtpldt0(sdtasdt0(xa,xm),sz00) = sdtpldt0(sz00,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_6542,c_1591]) ).
tcf(c_6591,plain,
sdtpldt0(sdtasdt0(xa,xm),xm) = sdtpldt0(xm,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_6542,c_1590]) ).
tcf(c_6592,plain,
sdtpldt0(sdtasdt0(xa,xm),sK0) = sdtpldt0(sK0,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_6542,c_1589]) ).
tcf(c_6593,plain,
sdtpldt0(sdtasdt0(xa,xm),xq) = sdtpldt0(xq,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_6542,c_1588]) ).
tcf(c_6594,plain,
sdtpldt0(sdtasdt0(xa,xm),xp) = sdtpldt0(xp,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_6542,c_1587]) ).
tcf(c_6595,plain,
sdtpldt0(sdtasdt0(xa,xm),xb) = sdtpldt0(xb,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_6542,c_1586]) ).
tcf(c_6596,plain,
sdtpldt0(sdtasdt0(xa,xm),xa) = sdtpldt0(xa,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_6542,c_1585]) ).
tcf(c_6597,plain,
sdtpldt0(sz00,smndt0(sdtasdt0(xa,xm))) = smndt0(sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_6542,c_1358]) ).
tcf(c_6598,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xm)),sz00) = smndt0(sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_6542,c_1343]) ).
tcf(c_6599,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,xm),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtasdt0(xa,xm),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6542,c_83]) ).
tcf(c_6600,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtasdt0(xa,xm),X0),sdtasdt0(sdtasdt0(xa,xm),X1)) = sdtasdt0(sdtasdt0(xa,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6542,c_82]) ).
tcf(c_6601,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtasdt0(xa,xm),X0),X1) = sdtasdt0(sdtasdt0(xa,xm),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6542,c_88]) ).
tcf(c_6602,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtasdt0(xa,xm),X0),X1) = sdtpldt0(sdtasdt0(xa,xm),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6542,c_85]) ).
tcf(c_6603,plain,
sdtasdt0(sz00,smndt0(sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_6542,c_1328]) ).
tcf(c_6604,plain,
! [X0: $i] :
( ( sdtasdt0(sdtasdt0(xa,xm),X0) = sdtasdt0(X0,sdtasdt0(xa,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6542,c_87]) ).
tcf(c_6605,plain,
sdtasdt0(smndt0(sdtasdt0(xa,xm)),sz00) = sz00,
inference(superposition,[status(thm)],[c_6542,c_1313]) ).
tcf(c_6606,plain,
! [X0: $i] :
( ( sdtpldt0(sdtasdt0(xa,xm),X0) = sdtpldt0(X0,sdtasdt0(xa,xm)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_6542,c_84]) ).
tcf(c_6607,plain,
sdtpldt0(smndt0(sdtasdt0(xa,xm)),sdtasdt0(xa,xm)) = sz00,
inference(superposition,[status(thm)],[c_6542,c_77]) ).
tcf(c_6608,plain,
sdtpldt0(sdtasdt0(xa,xm),smndt0(sdtasdt0(xa,xm))) = sz00,
inference(superposition,[status(thm)],[c_6542,c_76]) ).
tcf(c_6609,plain,
sdtpldt0(sz00,sdtasdt0(xa,xm)) = sdtasdt0(xa,xm),
inference(superposition,[status(thm)],[c_6542,c_67]) ).
tcf(c_6610,plain,
sdtpldt0(sdtasdt0(xa,xm),sz00) = sdtasdt0(xa,xm),
inference(superposition,[status(thm)],[c_6542,c_66]) ).
tcf(c_6611,plain,
sdtasdt0(sz00,sdtasdt0(xa,xm)) = sz00,
inference(superposition,[status(thm)],[c_6542,c_65]) ).
tcf(c_6612,plain,
sdtasdt0(sdtasdt0(xa,xm),sz00) = sz00,
inference(superposition,[status(thm)],[c_6542,c_64]) ).
tcf(c_6674,plain,
( aDivisorOf0(sdtasdt0(xa,xb),sz00)
| ( sdtasdt0(xa,xb) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtasdt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_6058,c_108]) ).
tcf(c_6676,plain,
( aDivisorOf0(sdtasdt0(xa,xb),sz00)
| ( sdtasdt0(xa,xb) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6674,c_68,c_6026]) ).
tcf(c_6683,plain,
( aDivisorOf0(sdtasdt0(xp,xa),sz00)
| ( sdtasdt0(xp,xa) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtasdt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_6217,c_108]) ).
tcf(c_6685,plain,
( aDivisorOf0(sdtasdt0(xp,xa),sz00)
| ( sdtasdt0(xp,xa) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6683,c_68,c_6186]) ).
tcf(c_6693,plain,
( aDivisorOf0(sdtasdt0(xq,xa),sz00)
| ( sdtasdt0(xq,xa) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtasdt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_6326,c_108]) ).
tcf(c_6695,plain,
( aDivisorOf0(sdtasdt0(xq,xa),sz00)
| ( sdtasdt0(xq,xa) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6693,c_68,c_6282]) ).
tcf(c_6702,plain,
( aDivisorOf0(sdtasdt0(xa,sK0),sz00)
| ( sdtasdt0(xa,sK0) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtasdt0(xa,sK0)) ),
inference(superposition,[status(thm)],[c_6453,c_108]) ).
tcf(c_6704,plain,
( aDivisorOf0(sdtasdt0(xa,sK0),sz00)
| ( sdtasdt0(xa,sK0) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6702,c_68,c_6421]) ).
tcf(c_6711,plain,
( aDivisorOf0(sdtasdt0(xa,xm),sz00)
| ( sdtasdt0(xa,xm) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtasdt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_6612,c_108]) ).
tcf(c_6713,plain,
( aDivisorOf0(sdtasdt0(xa,xm),sz00)
| ( sdtasdt0(xa,xm) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6711,c_68,c_6542]) ).
tcf(c_6729,plain,
( ( xb = sz00 )
| ( sdtasdt0(xb,sK1(sdtasdt0(xa,xb),xb)) = sdtasdt0(xa,xb) )
| ~ aInteger0(sdtasdt0(xa,xb)) ),
inference(superposition,[status(thm)],[c_6027,c_75]) ).
tcf(c_6731,plain,
( ( xb = sz00 )
| ( sdtasdt0(xb,sK1(sdtasdt0(xa,xb),xb)) = sdtasdt0(xa,xb) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6729,c_6026]) ).
tcf(c_6738,plain,
( aDivisorOf0(smndt0(sdtasdt0(xa,xb)),sz00)
| ( smndt0(sdtasdt0(xa,xb)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtasdt0(xa,xb))) ),
inference(superposition,[status(thm)],[c_6051,c_108]) ).
tcf(c_6740,plain,
( aDivisorOf0(smndt0(sdtasdt0(xa,xb)),sz00)
| ( smndt0(sdtasdt0(xa,xb)) = sz00 )
| ~ aInteger0(smndt0(sdtasdt0(xa,xb))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6738,c_68]) ).
tcf(c_6748,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,sK1(sdtasdt0(xp,xa),xa)) = sdtasdt0(xp,xa) )
| ~ aInteger0(sdtasdt0(xp,xa)) ),
inference(superposition,[status(thm)],[c_6187,c_75]) ).
tcf(c_6750,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,sK1(sdtasdt0(xp,xa),xa)) = sdtasdt0(xp,xa) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6748,c_6186]) ).
tcf(c_6757,plain,
( aDivisorOf0(smndt0(sdtasdt0(xp,xa)),sz00)
| ( smndt0(sdtasdt0(xp,xa)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtasdt0(xp,xa))) ),
inference(superposition,[status(thm)],[c_6210,c_108]) ).
tcf(c_6759,plain,
( aDivisorOf0(smndt0(sdtasdt0(xp,xa)),sz00)
| ( smndt0(sdtasdt0(xp,xa)) = sz00 )
| ~ aInteger0(smndt0(sdtasdt0(xp,xa))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6757,c_68]) ).
tcf(c_6767,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,sK1(sdtasdt0(xq,xa),xa)) = sdtasdt0(xq,xa) )
| ~ aInteger0(sdtasdt0(xq,xa)) ),
inference(superposition,[status(thm)],[c_6283,c_75]) ).
tcf(c_6769,plain,
( ( xa = sz00 )
| ( sdtasdt0(xa,sK1(sdtasdt0(xq,xa),xa)) = sdtasdt0(xq,xa) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6767,c_6282]) ).
tcf(c_6776,plain,
( aDivisorOf0(smndt0(sdtasdt0(xq,xa)),sz00)
| ( smndt0(sdtasdt0(xq,xa)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtasdt0(xq,xa))) ),
inference(superposition,[status(thm)],[c_6319,c_108]) ).
tcf(c_6778,plain,
( aDivisorOf0(smndt0(sdtasdt0(xq,xa)),sz00)
| ( smndt0(sdtasdt0(xq,xa)) = sz00 )
| ~ aInteger0(smndt0(sdtasdt0(xq,xa))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6776,c_68]) ).
tcf(c_6786,plain,
( ( sz00 = sK0 )
| ( sdtasdt0(sK0,sK1(sdtasdt0(xa,sK0),sK0)) = sdtasdt0(xa,sK0) )
| ~ aInteger0(sdtasdt0(xa,sK0)) ),
inference(superposition,[status(thm)],[c_6422,c_75]) ).
tcf(c_6788,plain,
( ( sz00 = sK0 )
| ( sdtasdt0(sK0,sK1(sdtasdt0(xa,sK0),sK0)) = sdtasdt0(xa,sK0) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6786,c_6421]) ).
tcf(c_6798,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(sdtasdt0(xp,xq)))
| ( X0 = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(X0)
| ~ aInteger0(sdtasdt0(xp,xq))
| ~ sdteqdtlpzmzozddtrp0(sz00,sdtasdt0(xp,xq),X0) ),
inference(superposition,[status(thm)],[c_2925,c_70]) ).
tcf(c_6799,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,sdtasdt0(xp,xq),X0)
| ( X0 = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(X0)
| ~ aInteger0(sdtasdt0(xp,xq))
| ~ aDivisorOf0(X0,smndt0(sdtasdt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_2925,c_69]) ).
tcf(c_6801,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,sdtasdt0(xp,xq),X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,smndt0(sdtasdt0(xp,xq))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6799,c_68,c_2351]) ).
tcf(c_6806,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(sdtasdt0(xp,xq)))
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,sdtasdt0(xp,xq),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6798,c_68,c_2351]) ).
tcf(c_6815,plain,
( ( sz00 = xm )
| ( sdtasdt0(xm,sK1(sdtasdt0(xa,xm),xm)) = sdtasdt0(xa,xm) )
| ~ aInteger0(sdtasdt0(xa,xm)) ),
inference(superposition,[status(thm)],[c_6543,c_75]) ).
tcf(c_6817,plain,
( ( sz00 = xm )
| ( sdtasdt0(xm,sK1(sdtasdt0(xa,xm),xm)) = sdtasdt0(xa,xm) ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6815,c_6542]) ).
tcf(c_6824,plain,
( aDivisorOf0(smndt0(sdtasdt0(xa,sK0)),sz00)
| ( smndt0(sdtasdt0(xa,sK0)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtasdt0(xa,sK0))) ),
inference(superposition,[status(thm)],[c_6446,c_108]) ).
tcf(c_6826,plain,
( aDivisorOf0(smndt0(sdtasdt0(xa,sK0)),sz00)
| ( smndt0(sdtasdt0(xa,sK0)) = sz00 )
| ~ aInteger0(smndt0(sdtasdt0(xa,sK0))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6824,c_68]) ).
tcf(c_6843,plain,
( aDivisorOf0(smndt0(sdtasdt0(xa,xm)),sz00)
| ( smndt0(sdtasdt0(xa,xm)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(sdtasdt0(xa,xm))) ),
inference(superposition,[status(thm)],[c_6605,c_108]) ).
tcf(c_6845,plain,
( aDivisorOf0(smndt0(sdtasdt0(xa,xm)),sz00)
| ( smndt0(sdtasdt0(xa,xm)) = sz00 )
| ~ aInteger0(smndt0(sdtasdt0(xa,xm))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6843,c_68]) ).
tcf(c_6850,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xp,xa))),sz00)
| ( smndt0(smndt0(sdtpldt0(xp,xa))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xp,xa)))) ),
inference(superposition,[status(thm)],[c_5676,c_108]) ).
tcf(c_6852,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xp,xa))),sz00)
| ( smndt0(smndt0(sdtpldt0(xp,xa))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xp,xa)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6850,c_68]) ).
tcf(c_6857,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xq,xa))),sz00)
| ( smndt0(smndt0(sdtpldt0(xq,xa))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xq,xa)))) ),
inference(superposition,[status(thm)],[c_5677,c_108]) ).
tcf(c_6859,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xq,xa))),sz00)
| ( smndt0(smndt0(sdtpldt0(xq,xa))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xq,xa)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6857,c_68]) ).
tcf(c_6864,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xa,sK0))),sz00)
| ( smndt0(smndt0(sdtpldt0(xa,sK0))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xa,sK0)))) ),
inference(superposition,[status(thm)],[c_5678,c_108]) ).
tcf(c_6866,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xa,sK0))),sz00)
| ( smndt0(smndt0(sdtpldt0(xa,sK0))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xa,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6864,c_68]) ).
tcf(c_6871,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xa,xm))),sz00)
| ( smndt0(smndt0(sdtpldt0(xa,xm))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xa,xm)))) ),
inference(superposition,[status(thm)],[c_5679,c_108]) ).
tcf(c_6873,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xa,xm))),sz00)
| ( smndt0(smndt0(sdtpldt0(xa,xm))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xa,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6871,c_68]) ).
tcf(c_6878,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xp,xb))),sz00)
| ( smndt0(smndt0(sdtpldt0(xp,xb))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xp,xb)))) ),
inference(superposition,[status(thm)],[c_5680,c_108]) ).
tcf(c_6880,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xp,xb))),sz00)
| ( smndt0(smndt0(sdtpldt0(xp,xb))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xp,xb)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6878,c_68]) ).
tcf(c_6888,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xq,xb))),sz00)
| ( smndt0(smndt0(sdtpldt0(xq,xb))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xq,xb)))) ),
inference(superposition,[status(thm)],[c_5681,c_108]) ).
tcf(c_6890,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xq,xb))),sz00)
| ( smndt0(smndt0(sdtpldt0(xq,xb))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xq,xb)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6888,c_68]) ).
tcf(c_6906,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xb,sK0))),sz00)
| ( smndt0(smndt0(sdtpldt0(xb,sK0))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xb,sK0)))) ),
inference(superposition,[status(thm)],[c_5682,c_108]) ).
tcf(c_6908,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xb,sK0))),sz00)
| ( smndt0(smndt0(sdtpldt0(xb,sK0))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xb,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6906,c_68]) ).
tcf(c_6913,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xb,xm))),sz00)
| ( smndt0(smndt0(sdtpldt0(xb,xm))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xb,xm)))) ),
inference(superposition,[status(thm)],[c_5683,c_108]) ).
tcf(c_6915,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xb,xm))),sz00)
| ( smndt0(smndt0(sdtpldt0(xb,xm))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xb,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6913,c_68]) ).
tcf(c_6924,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xp,xq))),sz00)
| ( smndt0(smndt0(sdtpldt0(xp,xq))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xp,xq)))) ),
inference(superposition,[status(thm)],[c_5684,c_108]) ).
tcf(c_6926,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xp,xq))),sz00)
| ( smndt0(smndt0(sdtpldt0(xp,xq))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xp,xq)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6924,c_68]) ).
tcf(c_6997,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(sdtpldt0(xa,smndt0(xb))))
| ( X0 = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(X0)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
| ~ sdteqdtlpzmzozddtrp0(sz00,sdtpldt0(xa,smndt0(xb)),X0) ),
inference(superposition,[status(thm)],[c_2926,c_70]) ).
tcf(c_6998,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,sdtpldt0(xa,smndt0(xb)),X0)
| ( X0 = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(X0)
| ~ aInteger0(sdtpldt0(xa,smndt0(xb)))
| ~ aDivisorOf0(X0,smndt0(sdtpldt0(xa,smndt0(xb)))) ),
inference(superposition,[status(thm)],[c_2926,c_69]) ).
tcf(c_7000,plain,
! [X0: $i] :
( sdteqdtlpzmzozddtrp0(sz00,sdtpldt0(xa,smndt0(xb)),X0)
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ aDivisorOf0(X0,smndt0(sdtpldt0(xa,smndt0(xb)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6998,c_68,c_2447]) ).
tcf(c_7005,plain,
! [X0: $i] :
( aDivisorOf0(X0,smndt0(sdtpldt0(xa,smndt0(xb))))
| ( X0 = sz00 )
| ~ aInteger0(X0)
| ~ sdteqdtlpzmzozddtrp0(sz00,sdtpldt0(xa,smndt0(xb)),X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_6997,c_68,c_2447]) ).
tcf(c_7015,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xp,sK0))),sz00)
| ( smndt0(smndt0(sdtpldt0(xp,sK0))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xp,sK0)))) ),
inference(superposition,[status(thm)],[c_5685,c_108]) ).
tcf(c_7017,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xp,sK0))),sz00)
| ( smndt0(smndt0(sdtpldt0(xp,sK0))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xp,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7015,c_68]) ).
tcf(c_7022,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xp,xm))),sz00)
| ( smndt0(smndt0(sdtpldt0(xp,xm))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xp,xm)))) ),
inference(superposition,[status(thm)],[c_5686,c_108]) ).
tcf(c_7024,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xp,xm))),sz00)
| ( smndt0(smndt0(sdtpldt0(xp,xm))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xp,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7022,c_68]) ).
tcf(c_7029,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xq,sK0))),sz00)
| ( smndt0(smndt0(sdtpldt0(xq,sK0))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xq,sK0)))) ),
inference(superposition,[status(thm)],[c_5687,c_108]) ).
tcf(c_7031,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xq,sK0))),sz00)
| ( smndt0(smndt0(sdtpldt0(xq,sK0))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xq,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7029,c_68]) ).
tcf(c_7036,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xq,xm))),sz00)
| ( smndt0(smndt0(sdtpldt0(xq,xm))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xq,xm)))) ),
inference(superposition,[status(thm)],[c_5688,c_108]) ).
tcf(c_7038,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xq,xm))),sz00)
| ( smndt0(smndt0(sdtpldt0(xq,xm))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xq,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7036,c_68]) ).
tcf(c_7043,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xm,sK0))),sz00)
| ( smndt0(smndt0(sdtpldt0(xm,sK0))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xm,sK0)))) ),
inference(superposition,[status(thm)],[c_5689,c_108]) ).
tcf(c_7045,plain,
( aDivisorOf0(smndt0(smndt0(sdtpldt0(xm,sK0))),sz00)
| ( smndt0(smndt0(sdtpldt0(xm,sK0))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtpldt0(xm,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7043,c_68]) ).
tcf(c_7059,plain,
( aDivisorOf0(smndt0(smndt0(sdtasdt0(xa,xb))),sz00)
| ( smndt0(smndt0(sdtasdt0(xa,xb))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtasdt0(xa,xb)))) ),
inference(superposition,[status(thm)],[c_6035,c_108]) ).
tcf(c_7061,plain,
( aDivisorOf0(smndt0(smndt0(sdtasdt0(xa,xb))),sz00)
| ( smndt0(smndt0(sdtasdt0(xa,xb))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtasdt0(xa,xb)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7059,c_68]) ).
tcf(c_7066,plain,
( aDivisorOf0(smndt0(smndt0(sdtasdt0(xp,xa))),sz00)
| ( smndt0(smndt0(sdtasdt0(xp,xa))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtasdt0(xp,xa)))) ),
inference(superposition,[status(thm)],[c_6194,c_108]) ).
tcf(c_7068,plain,
( aDivisorOf0(smndt0(smndt0(sdtasdt0(xp,xa))),sz00)
| ( smndt0(smndt0(sdtasdt0(xp,xa))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtasdt0(xp,xa)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7066,c_68]) ).
tcf(c_7073,plain,
( aDivisorOf0(smndt0(smndt0(sdtasdt0(xq,xa))),sz00)
| ( smndt0(smndt0(sdtasdt0(xq,xa))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtasdt0(xq,xa)))) ),
inference(superposition,[status(thm)],[c_6303,c_108]) ).
tcf(c_7075,plain,
( aDivisorOf0(smndt0(smndt0(sdtasdt0(xq,xa))),sz00)
| ( smndt0(smndt0(sdtasdt0(xq,xa))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtasdt0(xq,xa)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7073,c_68]) ).
tcf(c_7080,plain,
( aDivisorOf0(smndt0(smndt0(sdtasdt0(xa,sK0))),sz00)
| ( smndt0(smndt0(sdtasdt0(xa,sK0))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtasdt0(xa,sK0)))) ),
inference(superposition,[status(thm)],[c_6430,c_108]) ).
tcf(c_7082,plain,
( aDivisorOf0(smndt0(smndt0(sdtasdt0(xa,sK0))),sz00)
| ( smndt0(smndt0(sdtasdt0(xa,sK0))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtasdt0(xa,sK0)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7080,c_68]) ).
tcf(c_7088,plain,
( aDivisorOf0(smndt0(smndt0(sdtasdt0(xa,xm))),sz00)
| ( smndt0(smndt0(sdtasdt0(xa,xm))) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(smndt0(smndt0(sdtasdt0(xa,xm)))) ),
inference(superposition,[status(thm)],[c_6589,c_108]) ).
tcf(c_7090,plain,
( aDivisorOf0(smndt0(smndt0(sdtasdt0(xa,xm))),sz00)
| ( smndt0(smndt0(sdtasdt0(xa,xm))) = sz00 )
| ~ aInteger0(smndt0(smndt0(sdtasdt0(xa,xm)))) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7088,c_68]) ).
tcf(c_7095,plain,
( aInteger0(sdtpldt0(xa,sdtasdt0(xp,xq)))
| ~ aInteger0(xa)
| ~ aInteger0(sdtasdt0(xp,xq)) ),
inference(superposition,[status(thm)],[c_3086,c_86]) ).
tcf(c_7096,plain,
aInteger0(sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(forward_subsumption_resolution,[status(thm)],[c_7095,c_49,c_2351]) ).
tcf(c_7097,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xa) = sdtasdt0(xa,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_7096,c_1701]) ).
tcf(c_7098,plain,
sdtasdt0(smndt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7096,c_1672]) ).
tcf(c_7099,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),sz00) = sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_7096,c_1591]) ).
tcf(c_7100,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xm) = sdtpldt0(xm,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_7096,c_1590]) ).
tcf(c_7101,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),sK0) = sdtpldt0(sK0,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_7096,c_1589]) ).
tcf(c_7102,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xq) = sdtpldt0(xq,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_7096,c_1588]) ).
tcf(c_7103,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xp) = sdtpldt0(xp,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_7096,c_1587]) ).
tcf(c_7104,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xb) = sdtpldt0(xb,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_7096,c_1586]) ).
tcf(c_7105,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xa) = sdtpldt0(xa,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_7096,c_1585]) ).
tcf(c_7106,plain,
sdtpldt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))) = smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_7096,c_1358]) ).
tcf(c_7107,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),sz00) = smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_7096,c_1343]) ).
tcf(c_7108,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X1),sdtasdt0(X0,X1)) = sdtasdt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X0),X1) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_7096,c_83]) ).
tcf(c_7109,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X0),sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X1)) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_7096,c_82]) ).
tcf(c_7110,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X0),X1) = sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_7096,c_88]) ).
tcf(c_7111,plain,
! [X0: $i,X1: $i] :
( ( sdtpldt0(sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X0),X1) = sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_7096,c_85]) ).
tcf(c_7112,plain,
sdtasdt0(sz00,smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_7096,c_1328]) ).
tcf(c_7113,plain,
! [X0: $i] :
( ( sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X0) = sdtasdt0(X0,sdtpldt0(xa,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_7096,c_87]) ).
tcf(c_7114,plain,
sdtasdt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),sz00) = sz00,
inference(superposition,[status(thm)],[c_7096,c_1313]) ).
tcf(c_7115,plain,
! [X0: $i] :
( ( sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),X0) = sdtpldt0(X0,sdtpldt0(xa,sdtasdt0(xp,xq))) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_7096,c_84]) ).
tcf(c_7116,plain,
sdtpldt0(smndt0(sdtpldt0(xa,sdtasdt0(xp,xq))),sdtpldt0(xa,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_7096,c_77]) ).
tcf(c_7117,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),smndt0(sdtpldt0(xa,sdtasdt0(xp,xq)))) = sz00,
inference(superposition,[status(thm)],[c_7096,c_76]) ).
tcf(c_7118,plain,
sdtpldt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xq))) = sdtpldt0(xa,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_7096,c_67]) ).
tcf(c_7119,plain,
sdtpldt0(sdtpldt0(xa,sdtasdt0(xp,xq)),sz00) = sdtpldt0(xa,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_7096,c_66]) ).
tcf(c_7120,plain,
sdtasdt0(sz00,sdtpldt0(xa,sdtasdt0(xp,xq))) = sz00,
inference(superposition,[status(thm)],[c_7096,c_65]) ).
tcf(c_7121,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),sz00) = sz00,
inference(superposition,[status(thm)],[c_7096,c_64]) ).
tcf(c_7172,plain,
( aDivisorOf0(sdtpldt0(xa,sdtasdt0(xp,xq)),sz00)
| ( sdtpldt0(xa,sdtasdt0(xp,xq)) = sz00 )
| ~ aInteger0(sz00)
| ~ aInteger0(sdtpldt0(xa,sdtasdt0(xp,xq))) ),
inference(superposition,[status(thm)],[c_7121,c_108]) ).
tcf(c_7174,plain,
( aDivisorOf0(sdtpldt0(xa,sdtasdt0(xp,xq)),sz00)
| ( sdtpldt0(xa,sdtasdt0(xp,xq)) = sz00 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_7172,c_68,c_7096]) ).
tcf(c_7183,plain,
sdtasdt0(xb,xp) = sdtasdt0(xp,xb),
inference(superposition,[status(thm)],[c_51,c_1702]) ).
tcf(c_7184,plain,
sdtasdt0(xb,xq) = sdtasdt0(xq,xb),
inference(superposition,[status(thm)],[c_53,c_1702]) ).
tcf(c_7185,plain,
sdtasdt0(xb,sK0) = sdtasdt0(sK0,xb),
inference(superposition,[status(thm)],[c_56,c_1702]) ).
tcf(c_7186,plain,
sdtasdt0(xb,xm) = sdtasdt0(xm,xb),
inference(superposition,[status(thm)],[c_60,c_1702]) ).
tcf(c_7187,plain,
sdtasdt0(xb,sz00) = sdtasdt0(sz00,xb),
inference(superposition,[status(thm)],[c_68,c_1702]) ).
tcf(c_7188,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtasdt0(X0,X1),xb) = sdtasdt0(xb,sdtasdt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_89,c_1702]) ).
tcf(c_7189,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sK1(X1,X0),xb) = sdtasdt0(xb,sK1(X1,X0)) )
| ~ aInteger0(X1)
| ~ aDivisorOf0(X0,X1) ),
inference(superposition,[status(thm)],[c_74,c_1702]) ).
tcf(c_7190,plain,
! [X0: $i] :
( ( sdtasdt0(smndt0(X0),xb) = sdtasdt0(xb,smndt0(X0)) )
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_78,c_1702]) ).
tcf(c_7191,plain,
! [X0: $i,X1: $i] :
( ( sdtasdt0(sdtpldt0(X0,X1),xb) = sdtasdt0(xb,sdtpldt0(X0,X1)) )
| ~ aInteger0(X1)
| ~ aInteger0(X0) ),
inference(superposition,[status(thm)],[c_86,c_1702]) ).
tcf(c_7192,plain,
sdtasdt0(sdtasdt0(xp,xq),xb) = sdtasdt0(xb,sdtasdt0(xp,xq)),
inference(superposition,[status(thm)],[c_2351,c_1702]) ).
tcf(c_7193,plain,
sdtasdt0(sdtpldt0(xa,smndt0(xb)),xb) = sdtasdt0(xb,sdtpldt0(xa,smndt0(xb))),
inference(superposition,[status(thm)],[c_2447,c_1702]) ).
tcf(c_7194,plain,
sdtasdt0(sdtpldt0(xa,xb),xb) = sdtasdt0(xb,sdtpldt0(xa,xb)),
inference(superposition,[status(thm)],[c_3104,c_1702]) ).
tcf(c_7195,plain,
sdtasdt0(sdtpldt0(xp,xa),xb) = sdtasdt0(xb,sdtpldt0(xp,xa)),
inference(superposition,[status(thm)],[c_3173,c_1702]) ).
tcf(c_7196,plain,
sdtasdt0(sdtpldt0(xq,xa),xb) = sdtasdt0(xb,sdtpldt0(xq,xa)),
inference(superposition,[status(thm)],[c_3289,c_1702]) ).
tcf(c_7197,plain,
sdtasdt0(sdtpldt0(xa,sK0),xb) = sdtasdt0(xb,sdtpldt0(xa,sK0)),
inference(superposition,[status(thm)],[c_3354,c_1702]) ).
tcf(c_7198,plain,
sdtasdt0(sdtpldt0(xa,xm),xb) = sdtasdt0(xb,sdtpldt0(xa,xm)),
inference(superposition,[status(thm)],[c_3474,c_1702]) ).
tcf(c_7199,plain,
sdtasdt0(sdtpldt0(xp,xb),xb) = sdtasdt0(xb,sdtpldt0(xp,xb)),
inference(superposition,[status(thm)],[c_3831,c_1702]) ).
tcf(c_7200,plain,
sdtasdt0(sdtpldt0(xq,xb),xb) = sdtasdt0(xb,sdtpldt0(xq,xb)),
inference(superposition,[status(thm)],[c_3958,c_1702]) ).
tcf(c_7201,plain,
sdtasdt0(sdtpldt0(xb,sK0),xb) = sdtasdt0(xb,sdtpldt0(xb,sK0)),
inference(superposition,[status(thm)],[c_4039,c_1702]) ).
tcf(c_7202,plain,
sdtasdt0(sdtpldt0(xb,xm),xb) = sdtasdt0(xb,sdtpldt0(xb,xm)),
inference(superposition,[status(thm)],[c_4137,c_1702]) ).
tcf(c_7203,plain,
sdtasdt0(sdtpldt0(xp,xq),xb) = sdtasdt0(xb,sdtpldt0(xp,xq)),
inference(superposition,[status(thm)],[c_4497,c_1702]) ).
tcf(c_7204,plain,
sdtasdt0(sdtpldt0(xp,sK0),xb) = sdtasdt0(xb,sdtpldt0(xp,sK0)),
inference(superposition,[status(thm)],[c_4588,c_1702]) ).
tcf(c_7205,plain,
sdtasdt0(sdtpldt0(xp,xm),xb) = sdtasdt0(xb,sdtpldt0(xp,xm)),
inference(superposition,[status(thm)],[c_4729,c_1702]) ).
tcf(c_7206,plain,
sdtasdt0(sdtpldt0(xq,sK0),xb) = sdtasdt0(xb,sdtpldt0(xq,sK0)),
inference(superposition,[status(thm)],[c_4993,c_1702]) ).
tcf(c_7207,plain,
sdtasdt0(sdtpldt0(xq,xm),xb) = sdtasdt0(xb,sdtpldt0(xq,xm)),
inference(superposition,[status(thm)],[c_5083,c_1702]) ).
tcf(c_7208,plain,
sdtasdt0(sdtpldt0(xm,sK0),xb) = sdtasdt0(xb,sdtpldt0(xm,sK0)),
inference(superposition,[status(thm)],[c_5311,c_1702]) ).
tcf(c_7209,plain,
sdtasdt0(sdtasdt0(xa,xb),xb) = sdtasdt0(xb,sdtasdt0(xa,xb)),
inference(superposition,[status(thm)],[c_6026,c_1702]) ).
tcf(c_7210,plain,
sdtasdt0(sdtasdt0(xp,xa),xb) = sdtasdt0(xb,sdtasdt0(xp,xa)),
inference(superposition,[status(thm)],[c_6186,c_1702]) ).
tcf(c_7211,plain,
sdtasdt0(sdtasdt0(xq,xa),xb) = sdtasdt0(xb,sdtasdt0(xq,xa)),
inference(superposition,[status(thm)],[c_6282,c_1702]) ).
tcf(c_7212,plain,
sdtasdt0(sdtasdt0(xa,sK0),xb) = sdtasdt0(xb,sdtasdt0(xa,sK0)),
inference(superposition,[status(thm)],[c_6421,c_1702]) ).
tcf(c_7213,plain,
sdtasdt0(sdtasdt0(xa,xm),xb) = sdtasdt0(xb,sdtasdt0(xa,xm)),
inference(superposition,[status(thm)],[c_6542,c_1702]) ).
tcf(c_7214,plain,
sdtasdt0(sdtpldt0(xa,sdtasdt0(xp,xq)),xb) = sdtasdt0(xb,sdtpldt0(xa,sdtasdt0(xp,xq))),
inference(superposition,[status(thm)],[c_7096,c_1702]) ).
tcf(c_7317,plain,
$false,
inference(smt_impl_just,[status(thm)],[c_7214,c_7213,c_7212,c_7211,c_7210,c_7209,c_7208,c_7207,c_7206,c_7205,c_7204,c_7203,c_7202,c_7201,c_7200,c_7199,c_7198,c_7197,c_7196,c_7195,c_7194,c_7193,c_7192,c_7191,c_7190,c_7189,c_7188,c_7187,c_7186,c_7185,c_7184,c_7183,c_7174,c_7172,c_7121,c_7120,c_7119,c_7118,c_7117,c_7116,c_7115,c_7114,c_7113,c_7112,c_7111,c_7110,c_7109,c_7108,c_7107,c_7106,c_7105,c_7104,c_7103,c_7102,c_7101,c_7100,c_7099,c_7098,c_7097,c_7096,c_7095,c_7090,c_7088,c_7082,c_7080,c_7075,c_7073,c_7068,c_7066,c_7061,c_7059,c_7045,c_7043,c_7038,c_7036,c_7031,c_7029,c_7024,c_7022,c_7017,c_7015,c_7005,c_7000,c_6998,c_6997,c_6926,c_6924,c_6915,c_6913,c_6908,c_6906,c_6890,c_6888,c_6880,c_6878,c_6873,c_6871,c_6866,c_6864,c_6859,c_6857,c_6852,c_6850,c_6845,c_6843,c_6826,c_6824,c_6817,c_6815,c_6806,c_6801,c_6799,c_6798,c_6788,c_6786,c_6778,c_6776,c_6769,c_6767,c_6759,c_6757,c_6750,c_6748,c_6740,c_6738,c_6731,c_6729,c_6713,c_6711,c_6704,c_6702,c_6695,c_6693,c_6685,c_6683,c_6676,c_6674,c_6612,c_6611,c_6610,c_6609,c_6608,c_6607,c_6606,c_6605,c_6604,c_6603,c_6602,c_6601,c_6600,c_6599,c_6598,c_6597,c_6596,c_6595,c_6594,c_6593,c_6592,c_6591,c_6590,c_6589,c_6588,c_6546,c_6543,c_6542,c_6541,c_6540,c_6539,c_6453,c_6452,c_6451,c_6450,c_6449,c_6448,c_6447,c_6446,c_6445,c_6444,c_6443,c_6442,c_6441,c_6440,c_6439,c_6438,c_6437,c_6436,c_6435,c_6434,c_6433,c_6432,c_6431,c_6430,c_6429,c_6425,c_6422,c_6421,c_6420,c_6419,c_6418,c_6326,c_6325,c_6324,c_6323,c_6322,c_6321,c_6320,c_6319,c_6318,c_6317,c_6316,c_6315,c_6314,c_6313,c_6312,c_6311,c_6310,c_6309,c_6308,c_6307,c_6306,c_6305,c_6304,c_6303,c_6302,c_6286,c_6283,c_6282,c_6281,c_6280,c_6279,c_6217,c_6216,c_6215,c_6214,c_6213,c_6212,c_6211,c_6210,c_6209,c_6208,c_6207,c_6206,c_6205,c_6204,c_6203,c_6202,c_6201,c_6200,c_6199,c_6198,c_6197,c_6196,c_6195,c_6194,c_6193,c_6190,c_6187,c_6186,c_6185,c_6184,c_6058,c_6057,c_6056,c_6055,c_6054,c_6053,c_6052,c_6051,c_6050,c_6049,c_6048,c_6047,c_6046,c_6045,c_6044,c_6043,c_6042,c_6041,c_6040,c_6039,c_6038,c_6037,c_6036,c_6035,c_6034,c_6030,c_6027,c_6026,c_6025,c_6024,c_6023,c_5897,c_5896,c_5895,c_5894,c_5893,c_5892,c_5891,c_5890,c_5889,c_5888,c_5887,c_5886,c_5885,c_5884,c_5883,c_5882,c_5881,c_5880,c_5879,c_5878,c_5877,c_5876,c_5875,c_5874,c_5873,c_5872,c_5871,c_5861,c_5859,c_5854,c_5852,c_5847,c_5845,c_5840,c_5838,c_5833,c_5831,c_5810,c_5808,c_5803,c_5801,c_5796,c_5794,c_5689,c_5688,c_5687,c_5686,c_5685,c_5684,c_5683,c_5682,c_5681,c_5680,c_5679,c_5678,c_5677,c_5676,c_5675,c_5674,c_5673,c_5672,c_5671,c_5670,c_5669,c_5668,c_5667,c_5666,c_5665,c_5664,c_5663,c_5662,c_5629,c_5628,c_5627,c_5626,c_5625,c_5624,c_5623,c_5622,c_5621,c_5620,c_5619,c_5618,c_5617,c_5616,c_5615,c_5614,c_5613,c_5612,c_5611,c_5610,c_5609,c_5594,c_5592,c_5483,c_5482,c_5481,c_5480,c_5479,c_5478,c_5477,c_5476,c_5475,c_5474,c_5473,c_5472,c_5471,c_5470,c_5469,c_5468,c_5467,c_5466,c_5465,c_5464,c_5463,c_5462,c_5447,c_5445,c_5332,c_5331,c_5330,c_5329,c_5328,c_5327,c_5326,c_5325,c_5324,c_5323,c_5322,c_5321,c_5320,c_5319,c_5318,c_5317,c_5316,c_5315,c_5314,c_5313,c_5312,c_5311,c_5310,c_5262,c_5261,c_5260,c_5259,c_5258,c_5257,c_5256,c_5255,c_5254,c_5253,c_5252,c_5251,c_5250,c_5249,c_5248,c_5247,c_5246,c_5245,c_5244,c_5243,c_5242,c_5241,c_5224,c_5222,c_5214,c_5212,c_5205,c_5203,c_5196,c_5194,c_5103,c_5102,c_5101,c_5100,c_5099,c_5098,c_5097,c_5096,c_5095,c_5094,c_5093,c_5092,c_5091,c_5090,c_5089,c_5088,c_5087,c_5086,c_5085,c_5084,c_5083,c_5082,c_5013,c_5012,c_5011,c_5010,c_5009,c_5008,c_5007,c_5006,c_5005,c_5004,c_5003,c_5002,c_5001,c_5000,c_4999,c_4998,c_4997,c_4996,c_4995,c_4994,c_4993,c_4992,c_4910,c_4909,c_4908,c_4907,c_4906,c_4905,c_4904,c_4903,c_4902,c_4901,c_4900,c_4899,c_4898,c_4897,c_4896,c_4895,c_4894,c_4893,c_4892,c_4891,c_4890,c_4876,c_4874,c_4866,c_4864,c_4856,c_4854,c_4844,c_4839,c_4837,c_4836,c_4814,c_4812,c_4805,c_4803,c_4796,c_4794,c_4748,c_4747,c_4746,c_4745,c_4744,c_4743,c_4742,c_4741,c_4740,c_4739,c_4738,c_4737,c_4736,c_4735,c_4734,c_4733,c_4732,c_4731,c_4730,c_4729,c_4728,c_4607,c_4606,c_4605,c_4604,c_4603,c_4602,c_4601,c_4600,c_4599,c_4598,c_4597,c_4596,c_4595,c_4594,c_4593,c_4592,c_4591,c_4590,c_4589,c_4588,c_4587,c_4516,c_4515,c_4514,c_4513,c_4512,c_4511,c_4510,c_4509,c_4508,c_4507,c_4506,c_4505,c_4504,c_4503,c_4502,c_4501,c_4500,c_4499,c_4498,c_4497,c_4496,c_6183,c_4439,c_4438,c_4437,c_4436,c_4435,c_4434,c_4433,c_4432,c_4431,c_4430,c_4429,c_4428,c_4427,c_4426,c_4425,c_4424,c_4423,c_4422,c_4421,c_4403,c_4401,c_4388,c_4386,c_4378,c_4376,c_4368,c_4366,c_4357,c_4355,c_4298,c_4295,c_4291,c_4289,c_4280,c_4278,c_4271,c_4269,c_4163,c_4162,c_4161,c_4160,c_4159,c_4158,c_4157,c_4156,c_4155,c_4154,c_4153,c_4152,c_4151,c_4150,c_4149,c_4148,c_4147,c_4146,c_4137,c_4136,c_4057,c_4056,c_4055,c_4054,c_4053,c_4052,c_4051,c_4050,c_4049,c_4048,c_4047,c_4046,c_4045,c_4044,c_4043,c_4042,c_4041,c_4040,c_4039,c_4038,c_3976,c_3975,c_3974,c_3973,c_3972,c_3971,c_3970,c_3969,c_3968,c_3967,c_3966,c_3965,c_3964,c_3963,c_3962,c_3961,c_3960,c_3959,c_3958,c_3957,c_3856,c_3855,c_3854,c_3853,c_3852,c_3851,c_3850,c_3849,c_3848,c_3847,c_3846,c_3845,c_3844,c_3843,c_3842,c_3841,c_3840,c_3839,c_3831,c_3830,c_3760,c_3759,c_3758,c_3757,c_3756,c_3755,c_3754,c_3753,c_3752,c_3751,c_3750,c_3749,c_3748,c_3747,c_3746,c_3745,c_3715,c_3710,c_3708,c_3707,c_3698,c_3696,c_3688,c_3686,c_3678,c_3676,c_3668,c_3666,c_3646,c_3644,c_3637,c_3635,c_3628,c_3626,c_3619,c_3617,c_3610,c_3608,c_3585,c_3583,c_3491,c_3490,c_3489,c_3488,c_3487,c_3486,c_3485,c_3484,c_3483,c_3482,c_3481,c_3480,c_3479,c_3478,c_3477,c_3476,c_3475,c_3474,c_3473,c_3382,c_3381,c_3380,c_3379,c_3378,c_3377,c_3376,c_3375,c_3374,c_3373,c_3372,c_3371,c_3370,c_3369,c_3368,c_3367,c_3366,c_3362,c_3359,c_3354,c_3353,c_3306,c_3305,c_3304,c_3303,c_3302,c_3301,c_3300,c_3299,c_3298,c_3297,c_3296,c_3295,c_3294,c_3293,c_3292,c_3291,c_3290,c_3289,c_3288,c_3191,c_3190,c_3189,c_3188,c_3187,c_3186,c_3185,c_3184,c_3183,c_3182,c_3181,c_3180,c_3179,c_3178,c_3177,c_3176,c_3175,c_3173,c_3172,c_3121,c_3120,c_3119,c_3118,c_3117,c_3116,c_3115,c_3114,c_3113,c_3112,c_3111,c_3110,c_3109,c_3108,c_3107,c_3106,c_3105,c_3104,c_3103,c_3087,c_3086,c_3085,c_3084,c_3083,c_3082,c_3081,c_3080,c_3079,c_3078,c_3077,c_3076,c_3052,c_3047,c_3045,c_3044,c_3039,c_3034,c_3032,c_3031,c_3026,c_3021,c_3019,c_3018,c_3013,c_3008,c_3006,c_3005,c_3000,c_2995,c_2993,c_2992,c_2987,c_2982,c_2980,c_2979,c_2926,c_2925,c_2924,c_2923,c_2922,c_2921,c_2920,c_2919,c_2918,c_2917,c_2916,c_2915,c_2914,c_2905,c_2902,c_2887,c_2881,c_2879,c_2878,c_2839,c_2838,c_2837,c_2836,c_2835,c_2834,c_2833,c_2832,c_2831,c_2830,c_2829,c_2828,c_2827,c_2826,c_2818,c_2816,c_2807,c_2805,c_2799,c_2797,c_2756,c_2751,c_2746,c_2741,c_2736,c_2731,c_2726,c_2721,c_2720,c_2719,c_2718,c_2717,c_2716,c_2715,c_2660,c_2655,c_2650,c_2645,c_2640,c_2635,c_2630,c_2629,c_2628,c_2627,c_2626,c_2625,c_2624,c_2623,c_2522,c_2521,c_2520,c_2519,c_2518,c_2517,c_2516,c_2515,c_2514,c_2513,c_2512,c_2511,c_2510,c_2498,c_2495,c_2461,c_2460,c_2459,c_2458,c_2457,c_2456,c_2455,c_2454,c_2453,c_2452,c_2451,c_2450,c_2449,c_2447,c_2429,c_2427,c_2421,c_2419,c_2403,c_2401,c_2365,c_2364,c_2363,c_2362,c_2361,c_2360,c_2359,c_2358,c_2357,c_2356,c_2355,c_2354,c_2353,c_2351,c_2275,c_2274,c_2273,c_2272,c_2271,c_2270,c_2269,c_2268,c_2267,c_2266,c_2265,c_2240,c_2238,c_2176,c_2175,c_2174,c_2173,c_2172,c_2171,c_2170,c_2169,c_2168,c_2167,c_2166,c_2083,c_2082,c_2081,c_2080,c_2079,c_2078,c_2077,c_2076,c_2075,c_2074,c_2073,c_2061,c_2058,c_1993,c_1992,c_1991,c_1990,c_1989,c_1988,c_1987,c_1986,c_1985,c_1984,c_1983,c_1976,c_1973,c_1970,c_1967,c_1964,c_1962,c_1955,c_1953,c_1946,c_1944,c_1937,c_1935,c_1930,c_1928,c_1916,c_1914,c_1910,c_1906,c_1885,c_1884,c_1851,c_1847,c_1843,c_1839,c_1835,c_1831,c_1827,c_1824,c_1821,c_1820,c_1819,c_1816,c_1813,c_1809,c_1808,c_1807,c_1806,c_1805,c_1804,c_1797,c_1796,c_1795,c_1794,c_1793,c_1792,c_1791,c_1711,c_1710,c_1709,c_1708,c_1707,c_1706,c_1705,c_1704,c_1703,c_1702,c_1701,c_1673,c_1672,c_1671,c_1670,c_1669,c_1668,c_1667,c_1666,c_1665,c_1664,c_1663,c_1595,c_1594,c_1593,c_1592,c_1591,c_1590,c_1589,c_1588,c_1587,c_1586,c_1585,c_1544,c_1543,c_1542,c_1541,c_1540,c_1539,c_1531,c_1513,c_1512,c_1486,c_1485,c_1484,c_1483,c_1482,c_1481,c_1427,c_1426,c_1425,c_1424,c_1423,c_1422,c_1397,c_1396,c_1395,c_1394,c_1393,c_1392,c_1391,c_1390,c_1382,c_1381,c_1380,c_1379,c_1378,c_1377,c_1376,c_1375,c_1358,c_1356,c_1355,c_1354,c_1353,c_1352,c_1351,c_1343,c_1342,c_1341,c_1340,c_1339,c_1338,c_1337,c_1336,c_1328,c_1326,c_1325,c_1324,c_1323,c_1322,c_1321,c_1313,c_1312,c_1311,c_1310,c_1309,c_1308,c_1307,c_1306,c_1810,c_2723,c_1368,c_1771,c_108,c_89,c_88,c_87,c_86,c_85,c_84,c_83,c_82,c_81,c_80,c_79,c_78,c_77,c_76,c_75,c_74,c_73,c_72,c_70,c_69,c_68,c_67,c_66,c_65,c_64,c_63,c_62,c_61,c_60,c_59,c_58,c_57,c_56,c_55,c_54,c_53,c_52,c_51,c_50,c_49]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM435+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.36 % Computer : n003.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.37 % CPULimit : 300
% 0.10/0.37 % WCLimit : 300
% 0.10/0.37 % DateTime : Thu Sep 24 03:59:22 UTC 2026
% 0.10/0.37 % CPUTime :
% 0.10/0.37 Running run_iprover 300 /export/starexec/sandbox2/benchmark/theBenchmark.p THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 Running: /export/starexec/sandbox2/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.10/0.42
% 0.10/0.42 % ======== iProver multi-core TPTP/SMT =========
% 0.10/0.42
% 0.10/0.42 % Detected problem language: tptp
% 0.10/0.43 % Proving...
% 8.20/1.66 % SZS status Started for theBenchmark.p
% 8.20/1.66 % SZS status Theorem for theBenchmark.p
% 8.20/1.66
% 8.20/1.66 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 8.20/1.66
% 8.20/1.66 % ------ iProver source info
% 8.20/1.66
% 8.20/1.66 % git: date: 2026-07-19 20:42:38 +0200
% 8.20/1.66 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 8.20/1.66 % git: non_committed_changes: false
% 8.20/1.66
% 8.20/1.66 % ------ Parsing...
% 8.20/1.66 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 8.20/1.66
% 8.20/1.66 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 8.20/1.66
% 8.20/1.66 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 8.20/1.66
% 8.20/1.66 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 8.20/1.66 % ------ Proving...
% 8.20/1.66 % ------ Problem Properties
% 8.20/1.66
% 8.20/1.66 %
% 8.20/1.66 % clauses 41
% 8.20/1.66 % conjectures 1
% 8.20/1.66 % EPR 14
% 8.20/1.66 % Horn 34
% 8.20/1.66 % unary 15
% 8.20/1.66 % binary 8
% 8.20/1.66 % lits 107
% 8.20/1.66 % lits eq 28
% 8.20/1.66 % fd_pure 0
% 8.20/1.66 % fd_pseudo 0
% 8.20/1.66 % fd_cond 7
% 8.20/1.66 % fd_pseudo_cond 0
% 8.20/1.66 % AC symbols 0
% 8.20/1.66
% 8.20/1.66 % ------ Schedule dynamic 5 is on
% 8.20/1.66
% 8.20/1.66 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 8.20/1.66
% 8.20/1.66
% 8.20/1.66 % ------
% 8.20/1.66 % Current options:
% 8.20/1.66 % ------
% 8.20/1.66
% 8.20/1.66
% 8.20/1.66 %
% 8.20/1.66
% 8.20/1.66 % ------ Proving...
% 8.20/1.66 %
% 8.20/1.66
% 8.20/1.66 % SZS status Theorem for theBenchmark.p
% 8.20/1.66
% 8.20/1.66 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 8.20/1.69
% 8.20/1.69
%------------------------------------------------------------------------------