TSTP Solution File: NUM566+1 by iProver---3.9
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM566+1 : TPTP v8.2.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n021.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Mon Jun 24 12:53:44 EDT 2024
% Result : Theorem 6.96s 1.68s
% Output : CNFRefutation 6.96s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 17
% Syntax : Number of formulae : 130 ( 29 unt; 0 def)
% Number of atoms : 499 ( 60 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 659 ( 290 ~; 278 |; 69 &)
% ( 8 <=>; 14 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 15 ( 15 usr; 7 con; 0-3 aty)
% Number of variables : 195 ( 0 sgn 100 !; 14 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f10,axiom,
! [X0] :
( aSet0(X0)
=> ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSub) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f14,axiom,
! [X0,X1,X2] :
( ( aSet0(X2)
& aSet0(X1)
& aSet0(X0) )
=> ( ( aSubsetOf0(X1,X2)
& aSubsetOf0(X0,X1) )
=> aSubsetOf0(X0,X2) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubTrans) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f57,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aSet0(X0) )
=> ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSel) ).
fof(f69,axiom,
! [X0] :
( aFunction0(X0)
=> ! [X1] :
( aElementOf0(X1,szDzozmdt0(X0))
=> aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0))) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mImgRng) ).
fof(f73,axiom,
( isFinite0(xT)
& aSet0(xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3291) ).
fof(f74,axiom,
aElementOf0(xK,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3418) ).
fof(f75,axiom,
( isCountable0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3435) ).
fof(f76,axiom,
( aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT)
& szDzozmdt0(xc) = slbdtsldtrb0(xS,xK)
& aFunction0(xc) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3453) ).
fof(f78,axiom,
sz00 = xK,
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3462) ).
fof(f79,axiom,
aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3476) ).
fof(f80,axiom,
! [X0] :
( aElementOf0(X0,slbdtsldtrb0(xS,sz00))
=> sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__3507) ).
fof(f81,conjecture,
? [X0] :
( ? [X1] :
( ! [X2] :
( aElementOf0(X2,slbdtsldtrb0(X1,xK))
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& aSubsetOf0(X1,xS) )
& aElementOf0(X0,xT) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f82,negated_conjecture,
~ ? [X0] :
( ? [X1] :
( ! [X2] :
( aElementOf0(X2,slbdtsldtrb0(X1,xK))
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& aSubsetOf0(X1,xS) )
& aElementOf0(X0,xT) ),
inference(negated_conjecture,[],[f81]) ).
fof(f96,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f99,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f102,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f14]) ).
fof(f103,plain,
! [X0,X1,X2] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(flattening,[],[f102]) ).
fof(f164,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f57]) ).
fof(f165,plain,
! [X0,X1] :
( ! [X2] :
( slbdtsldtrb0(X0,X1) = X2
<=> ( ! [X3] :
( aElementOf0(X3,X2)
<=> ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) ) )
& aSet0(X2) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f164]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0)) )
| ~ aFunction0(X0) ),
inference(ennf_transformation,[],[f69]) ).
fof(f191,plain,
! [X0] :
( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
| ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00)) ),
inference(ennf_transformation,[],[f80]) ).
fof(f192,plain,
! [X0] :
( ! [X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS) )
| ~ aElementOf0(X0,xT) ),
inference(ennf_transformation,[],[f82]) ).
fof(f204,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f96]) ).
fof(f205,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(flattening,[],[f204]) ).
fof(f206,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(rectify,[],[f205]) ).
fof(f207,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f208,plain,
! [X0] :
( ! [X1] :
( ( aSubsetOf0(X1,X0)
| ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1) )
& aSet0(X1) )
| ~ aSubsetOf0(X1,X0) ) )
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK5])],[f206,f207]) ).
fof(f248,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(nnf_transformation,[],[f165]) ).
fof(f249,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X2)
| sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| ~ aElementOf0(X3,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(flattening,[],[f248]) ).
fof(f250,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(rectify,[],[f249]) ).
fof(f251,plain,
! [X0,X1,X2] :
( ? [X3] :
( ( sbrdtbr0(X3) != X1
| ~ aSubsetOf0(X3,X0)
| ~ aElementOf0(X3,X2) )
& ( ( sbrdtbr0(X3) = X1
& aSubsetOf0(X3,X0) )
| aElementOf0(X3,X2) ) )
=> ( ( sbrdtbr0(sK14(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK14(X0,X1,X2),X0)
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK14(X0,X1,X2)) = X1
& aSubsetOf0(sK14(X0,X1,X2),X0) )
| aElementOf0(sK14(X0,X1,X2),X2) ) ) ),
introduced(choice_axiom,[]) ).
fof(f252,plain,
! [X0,X1] :
( ! [X2] :
( ( slbdtsldtrb0(X0,X1) = X2
| ( ( sbrdtbr0(sK14(X0,X1,X2)) != X1
| ~ aSubsetOf0(sK14(X0,X1,X2),X0)
| ~ aElementOf0(sK14(X0,X1,X2),X2) )
& ( ( sbrdtbr0(sK14(X0,X1,X2)) = X1
& aSubsetOf0(sK14(X0,X1,X2),X0) )
| aElementOf0(sK14(X0,X1,X2),X2) ) )
| ~ aSet0(X2) )
& ( ( ! [X4] :
( ( aElementOf0(X4,X2)
| sbrdtbr0(X4) != X1
| ~ aSubsetOf0(X4,X0) )
& ( ( sbrdtbr0(X4) = X1
& aSubsetOf0(X4,X0) )
| ~ aElementOf0(X4,X2) ) )
& aSet0(X2) )
| slbdtsldtrb0(X0,X1) != X2 ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK14])],[f250,f251]) ).
fof(f277,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK)) )
=> ( sdtlpdtrp0(xc,sK25(X0,X1)) != X0
& aElementOf0(sK25(X0,X1),slbdtsldtrb0(X1,xK)) ) ),
introduced(choice_axiom,[]) ).
fof(f278,plain,
! [X0] :
( ! [X1] :
( ( sdtlpdtrp0(xc,sK25(X0,X1)) != X0
& aElementOf0(sK25(X0,X1),slbdtsldtrb0(X1,xK)) )
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS) )
| ~ aElementOf0(X0,xT) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK25])],[f192,f277]) ).
fof(f286,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f287,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f208]) ).
fof(f291,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f99]) ).
fof(f293,plain,
! [X2,X0,X1] :
( aSubsetOf0(X0,X2)
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X2)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f103]) ).
fof(f324,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f380,plain,
! [X2,X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,X2)
| slbdtsldtrb0(X0,X1) != X2
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f252]) ).
fof(f410,plain,
! [X0,X1] :
( aElementOf0(sdtlpdtrp0(X0,X1),sdtlcdtrc0(X0,szDzozmdt0(X0)))
| ~ aElementOf0(X1,szDzozmdt0(X0))
| ~ aFunction0(X0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f422,plain,
aSet0(xT),
inference(cnf_transformation,[],[f73]) ).
fof(f424,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f74]) ).
fof(f425,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f75]) ).
fof(f426,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f75]) ).
fof(f427,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f76]) ).
fof(f428,plain,
szDzozmdt0(xc) = slbdtsldtrb0(xS,xK),
inference(cnf_transformation,[],[f76]) ).
fof(f429,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f76]) ).
fof(f434,plain,
sz00 = xK,
inference(cnf_transformation,[],[f78]) ).
fof(f435,plain,
aElementOf0(slcrc0,slbdtsldtrb0(xS,sz00)),
inference(cnf_transformation,[],[f79]) ).
fof(f436,plain,
! [X0] :
( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
| ~ aElementOf0(X0,slbdtsldtrb0(xS,sz00)) ),
inference(cnf_transformation,[],[f191]) ).
fof(f437,plain,
! [X0,X1] :
( aElementOf0(sK25(X0,X1),slbdtsldtrb0(X1,xK))
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f278]) ).
fof(f438,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,sK25(X0,X1)) != X0
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f278]) ).
fof(f450,plain,
aElementOf0(slcrc0,slbdtsldtrb0(xS,xK)),
inference(definition_unfolding,[],[f435,f434]) ).
fof(f451,plain,
! [X0] :
( sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0)
| ~ aElementOf0(X0,slbdtsldtrb0(xS,xK)) ),
inference(definition_unfolding,[],[f436,f434]) ).
fof(f472,plain,
! [X0,X1,X4] :
( aSubsetOf0(X4,X0)
| ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f380]) ).
cnf(c_58,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f287]) ).
cnf(c_59,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aSet0(X0) ),
inference(cnf_transformation,[],[f286]) ).
cnf(c_61,plain,
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(cnf_transformation,[],[f291]) ).
cnf(c_63,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(cnf_transformation,[],[f293]) ).
cnf(c_95,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f324]) ).
cnf(c_154,plain,
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f472]) ).
cnf(c_180,plain,
( ~ aElementOf0(X0,szDzozmdt0(X1))
| ~ aFunction0(X1)
| aElementOf0(sdtlpdtrp0(X1,X0),sdtlcdtrc0(X1,szDzozmdt0(X1))) ),
inference(cnf_transformation,[],[f410]) ).
cnf(c_193,plain,
aSet0(xT),
inference(cnf_transformation,[],[f422]) ).
cnf(c_194,plain,
aElementOf0(xK,szNzAzT0),
inference(cnf_transformation,[],[f424]) ).
cnf(c_195,plain,
isCountable0(xS),
inference(cnf_transformation,[],[f426]) ).
cnf(c_196,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f425]) ).
cnf(c_197,plain,
aSubsetOf0(sdtlcdtrc0(xc,szDzozmdt0(xc)),xT),
inference(cnf_transformation,[],[f429]) ).
cnf(c_198,plain,
slbdtsldtrb0(xS,xK) = szDzozmdt0(xc),
inference(cnf_transformation,[],[f428]) ).
cnf(c_199,plain,
aFunction0(xc),
inference(cnf_transformation,[],[f427]) ).
cnf(c_204,plain,
aElementOf0(slcrc0,slbdtsldtrb0(xS,xK)),
inference(cnf_transformation,[],[f450]) ).
cnf(c_205,plain,
( ~ aElementOf0(X0,slbdtsldtrb0(xS,xK))
| sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ),
inference(cnf_transformation,[],[f451]) ).
cnf(c_206,negated_conjecture,
( sdtlpdtrp0(xc,sK25(X0,X1)) != X0
| ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1) ),
inference(cnf_transformation,[],[f438]) ).
cnf(c_207,negated_conjecture,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1)
| aElementOf0(sK25(X0,X1),slbdtsldtrb0(X1,xK)) ),
inference(cnf_transformation,[],[f437]) ).
cnf(c_334,plain,
( ~ aSubsetOf0(X2,X0)
| ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(global_subsumption_just,[status(thm)],[c_63,c_59,c_63]) ).
cnf(c_335,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSubsetOf0(X2,X0)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aSubsetOf0(X2,X1) ),
inference(renaming,[status(thm)],[c_334]) ).
cnf(c_1518,plain,
aElementOf0(slcrc0,szDzozmdt0(xc)),
inference(demodulation,[status(thm)],[c_204,c_198]) ).
cnf(c_1795,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| sdtlpdtrp0(xc,X0) = sdtlpdtrp0(xc,slcrc0) ),
inference(light_normalisation,[status(thm)],[c_205,c_198]) ).
cnf(c_14341,negated_conjecture,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1)
| aElementOf0(sK25(X0,X1),slbdtsldtrb0(X1,xK)) ),
inference(demodulation,[status(thm)],[c_207]) ).
cnf(c_14342,negated_conjecture,
( sdtlpdtrp0(xc,sK25(X0,X1)) != X0
| ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xS)
| ~ isCountable0(X1) ),
inference(demodulation,[status(thm)],[c_206]) ).
cnf(c_16842,plain,
( ~ aSet0(szNzAzT0)
| aSet0(xS) ),
inference(superposition,[status(thm)],[c_196,c_59]) ).
cnf(c_16920,plain,
( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),X1)
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ aSet0(X1)
| ~ aFunction0(X0)
| aElementOf0(sdtlpdtrp0(X0,X2),X1) ),
inference(superposition,[status(thm)],[c_180,c_58]) ).
cnf(c_16939,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS)
| aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_198,c_154]) ).
cnf(c_16952,plain,
( ~ aSubsetOf0(X0,xS)
| ~ aSet0(X0)
| ~ aSet0(szNzAzT0)
| aSubsetOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_196,c_335]) ).
cnf(c_16963,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| ~ isCountable0(xS)
| aElementOf0(sK25(X0,xS),szDzozmdt0(xc)) ),
inference(superposition,[status(thm)],[c_198,c_14341]) ).
cnf(c_16965,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| aSubsetOf0(sK25(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_14341,c_154]) ).
cnf(c_17111,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aSet0(xT)
| ~ aFunction0(xc)
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ),
inference(superposition,[status(thm)],[c_197,c_16920]) ).
cnf(c_17124,plain,
( ~ aSet0(szNzAzT0)
| aSet0(xS) ),
inference(superposition,[status(thm)],[c_196,c_59]) ).
cnf(c_17128,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aSubsetOf0(X0,xS) ),
inference(global_subsumption_just,[status(thm)],[c_16939,c_95,c_194,c_16842,c_16939]) ).
cnf(c_17136,plain,
( ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS)
| aSubsetOf0(X0,szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_16952,c_95,c_16952]) ).
cnf(c_17137,plain,
( ~ aSubsetOf0(X0,xS)
| ~ aSet0(X0)
| aSubsetOf0(X0,szNzAzT0) ),
inference(renaming,[status(thm)],[c_17136]) ).
cnf(c_17162,plain,
( ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(X0,xT)
| aElementOf0(sK25(X0,xS),szDzozmdt0(xc)) ),
inference(global_subsumption_just,[status(thm)],[c_16963,c_195,c_16963]) ).
cnf(c_17163,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| aElementOf0(sK25(X0,xS),szDzozmdt0(xc)) ),
inference(renaming,[status(thm)],[c_17162]) ).
cnf(c_17173,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| aSubsetOf0(sK25(X0,xS),xS) ),
inference(superposition,[status(thm)],[c_17163,c_17128]) ).
cnf(c_17174,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| sdtlpdtrp0(xc,sK25(X0,xS)) = sdtlpdtrp0(xc,slcrc0) ),
inference(superposition,[status(thm)],[c_17163,c_1795]) ).
cnf(c_17198,plain,
( ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| aSubsetOf0(sK25(X0,X1),X1) ),
inference(global_subsumption_just,[status(thm)],[c_16965,c_194,c_16965]) ).
cnf(c_17199,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xS)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| aSubsetOf0(sK25(X0,X1),X1) ),
inference(renaming,[status(thm)],[c_17198]) ).
cnf(c_17214,plain,
( ~ aSet0(sK25(X0,xS))
| ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| ~ aSet0(xS)
| ~ isCountable0(xS)
| aSubsetOf0(sK25(X0,xS),szNzAzT0) ),
inference(superposition,[status(thm)],[c_17199,c_17137]) ).
cnf(c_17327,plain,
( ~ aSubsetOf0(sdtlcdtrc0(X0,szDzozmdt0(X0)),X1)
| ~ aElementOf0(X2,szDzozmdt0(X0))
| ~ aSet0(X1)
| ~ aFunction0(X0)
| aElementOf0(sdtlpdtrp0(X0,X2),X1) ),
inference(superposition,[status(thm)],[c_180,c_58]) ).
cnf(c_17404,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ),
inference(global_subsumption_just,[status(thm)],[c_17111,c_199,c_193,c_17111]) ).
cnf(c_17426,plain,
( ~ aSubsetOf0(X0,xS)
| ~ aSet0(X0)
| ~ aSet0(szNzAzT0)
| aSubsetOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_196,c_335]) ).
cnf(c_17454,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| aSubsetOf0(sK25(X0,X1),X1) ),
inference(superposition,[status(thm)],[c_14341,c_154]) ).
cnf(c_17463,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| ~ aSet0(xS)
| aSet0(sK25(X0,xS)) ),
inference(superposition,[status(thm)],[c_17173,c_59]) ).
cnf(c_17484,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aSubsetOf0(xS,xS)
| sdtlpdtrp0(xc,sK25(sdtlpdtrp0(xc,X0),xS)) = sdtlpdtrp0(xc,slcrc0) ),
inference(superposition,[status(thm)],[c_17404,c_17174]) ).
cnf(c_17595,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| aSubsetOf0(sK25(X0,xS),szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_17214,c_195,c_95,c_16842,c_17214,c_17463]) ).
cnf(c_17609,plain,
aSet0(xS),
inference(global_subsumption_just,[status(thm)],[c_17124,c_95,c_16842]) ).
cnf(c_17853,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aSet0(xT)
| ~ aFunction0(xc)
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ),
inference(superposition,[status(thm)],[c_197,c_17327]) ).
cnf(c_17920,plain,
( ~ aSet0(X0)
| ~ aSubsetOf0(X0,xS)
| aSubsetOf0(X0,szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_17426,c_95,c_16952]) ).
cnf(c_17921,plain,
( ~ aSubsetOf0(X0,xS)
| ~ aSet0(X0)
| aSubsetOf0(X0,szNzAzT0) ),
inference(renaming,[status(thm)],[c_17920]) ).
cnf(c_17935,plain,
( ~ aSubsetOf0(xS,xS)
| sdtlpdtrp0(xc,sK25(sdtlpdtrp0(xc,slcrc0),xS)) = sdtlpdtrp0(xc,slcrc0) ),
inference(superposition,[status(thm)],[c_1518,c_17484]) ).
cnf(c_18133,plain,
( ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| aSubsetOf0(sK25(X0,X1),X1) ),
inference(global_subsumption_just,[status(thm)],[c_17454,c_17199]) ).
cnf(c_18134,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xS)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| aSubsetOf0(sK25(X0,X1),X1) ),
inference(renaming,[status(thm)],[c_18133]) ).
cnf(c_18148,plain,
( ~ aSet0(sK25(X0,xS))
| ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| ~ aSet0(xS)
| ~ isCountable0(xS)
| aSubsetOf0(sK25(X0,xS),szNzAzT0) ),
inference(superposition,[status(thm)],[c_18134,c_17921]) ).
cnf(c_18452,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ),
inference(global_subsumption_just,[status(thm)],[c_17853,c_199,c_193,c_17111]) ).
cnf(c_18458,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aSubsetOf0(xT,X1)
| ~ aSet0(X1)
| aElementOf0(sdtlpdtrp0(xc,X0),X1) ),
inference(superposition,[status(thm)],[c_18452,c_58]) ).
cnf(c_18743,plain,
( ~ aSet0(xS)
| sdtlpdtrp0(xc,sK25(sdtlpdtrp0(xc,slcrc0),xS)) = sdtlpdtrp0(xc,slcrc0) ),
inference(superposition,[status(thm)],[c_61,c_17935]) ).
cnf(c_18841,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| aSubsetOf0(sK25(X0,xS),szNzAzT0) ),
inference(global_subsumption_just,[status(thm)],[c_18148,c_17595]) ).
cnf(c_19144,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(xT,X1)
| ~ aSet0(X1)
| ~ aSet0(X2)
| aElementOf0(sdtlpdtrp0(xc,X0),X2) ),
inference(superposition,[status(thm)],[c_18458,c_58]) ).
cnf(c_20021,plain,
sdtlpdtrp0(xc,sK25(sdtlpdtrp0(xc,slcrc0),xS)) = sdtlpdtrp0(xc,slcrc0),
inference(global_subsumption_just,[status(thm)],[c_18743,c_95,c_16842,c_18743]) ).
cnf(c_20037,plain,
( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
| ~ aSubsetOf0(xS,xS)
| ~ isCountable0(xS) ),
inference(superposition,[status(thm)],[c_20021,c_14342]) ).
cnf(c_20575,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aSubsetOf0(X1,X2)
| ~ aSubsetOf0(xT,X1)
| ~ aSet0(X2)
| aElementOf0(sdtlpdtrp0(xc,X0),X2) ),
inference(forward_subsumption_resolution,[status(thm)],[c_19144,c_59]) ).
cnf(c_20598,plain,
( ~ aSubsetOf0(xT,sK25(X0,xS))
| ~ aElementOf0(X1,szDzozmdt0(xc))
| ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| ~ aSet0(szNzAzT0)
| aElementOf0(sdtlpdtrp0(xc,X1),szNzAzT0) ),
inference(superposition,[status(thm)],[c_18841,c_20575]) ).
cnf(c_22804,plain,
( ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) ),
inference(global_subsumption_just,[status(thm)],[c_20037,c_195,c_20037]) ).
cnf(c_22805,plain,
( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
| ~ aSubsetOf0(xS,xS) ),
inference(renaming,[status(thm)],[c_22804]) ).
cnf(c_22810,plain,
( ~ aElementOf0(slcrc0,szDzozmdt0(xc))
| ~ aSubsetOf0(xS,xS) ),
inference(superposition,[status(thm)],[c_17404,c_22805]) ).
cnf(c_22817,plain,
~ aSubsetOf0(xS,xS),
inference(global_subsumption_just,[status(thm)],[c_20598,c_1518,c_22810]) ).
cnf(c_22819,plain,
~ aSet0(xS),
inference(superposition,[status(thm)],[c_61,c_22817]) ).
cnf(c_22820,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_17609,c_22819]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUM566+1 : TPTP v8.2.0. Released v4.0.0.
% 0.07/0.13 % Command : run_iprover %s %d THM
% 0.13/0.35 % Computer : n021.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 300
% 0.13/0.35 % DateTime : Sat Jun 22 23:20:54 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.22/0.50 Running first-order theorem proving
% 0.22/0.50 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --heuristic_context casc_unsat --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 6.96/1.68 % SZS status Started for theBenchmark.p
% 6.96/1.68 % SZS status Theorem for theBenchmark.p
% 6.96/1.68
% 6.96/1.68 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 6.96/1.68
% 6.96/1.68 ------ iProver source info
% 6.96/1.68
% 6.96/1.68 git: date: 2024-06-12 09:56:46 +0000
% 6.96/1.68 git: sha1: 4869ab62f0a3398f9d3a35e6db7918ebd3847e49
% 6.96/1.68 git: non_committed_changes: false
% 6.96/1.68
% 6.96/1.68 ------ Parsing...
% 6.96/1.68 ------ Clausification by vclausify_rel & Parsing by iProver...
% 6.96/1.68
% 6.96/1.68 ------ Preprocessing... sup_sim: 2 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 2 0s sf_e pe_s pe_e
% 6.96/1.68
% 6.96/1.68 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 6.96/1.68
% 6.96/1.68 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.96/1.68 ------ Proving...
% 6.96/1.68 ------ Problem Properties
% 6.96/1.68
% 6.96/1.68
% 6.96/1.68 clauses 151
% 6.96/1.68 conjectures 2
% 6.96/1.68 EPR 34
% 6.96/1.68 Horn 112
% 6.96/1.68 unary 17
% 6.96/1.68 binary 18
% 6.96/1.68 lits 543
% 6.96/1.68 lits eq 79
% 6.96/1.68 fd_pure 0
% 6.96/1.68 fd_pseudo 0
% 6.96/1.68 fd_cond 10
% 6.96/1.68 fd_pseudo_cond 24
% 6.96/1.68 AC symbols 0
% 6.96/1.68
% 6.96/1.68 ------ Input Options Time Limit: Unbounded
% 6.96/1.68
% 6.96/1.68
% 6.96/1.68 ------
% 6.96/1.68 Current options:
% 6.96/1.68 ------
% 6.96/1.68
% 6.96/1.68
% 6.96/1.68
% 6.96/1.68
% 6.96/1.68 ------ Proving...
% 6.96/1.68
% 6.96/1.68
% 6.96/1.68 % SZS status Theorem for theBenchmark.p
% 6.96/1.68
% 6.96/1.68 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.96/1.68
% 7.42/1.69
%------------------------------------------------------------------------------