TSTP Solution File: NUM566+1 by iProver---3.9
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.9
% Problem : NUM566+1 : TPTP v8.1.2. 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 : Fri May 3 02:49:57 EDT 2024
% Result : Theorem 7.57s 1.67s
% Output : CNFRefutation 7.57s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 16
% Syntax : Number of formulae : 116 ( 29 unt; 0 def)
% Number of atoms : 429 ( 72 equ)
% Maximal formula atoms : 18 ( 3 avg)
% Number of connectives : 551 ( 238 ~; 227 |; 66 &)
% ( 8 <=>; 12 =>; 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 : 167 ( 0 sgn 95 !; 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(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(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(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(f381,plain,
! [X2,X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ 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(f471,plain,
! [X0,X1,X4] :
( sbrdtbr0(X4) = X1
| ~ aElementOf0(X4,slbdtsldtrb0(X0,X1))
| ~ aElementOf0(X1,szNzAzT0)
| ~ aSet0(X0) ),
inference(equality_resolution,[],[f381]) ).
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_95,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f324]) ).
cnf(c_153,plain,
( ~ aElementOf0(X0,slbdtsldtrb0(X1,X2))
| ~ aElementOf0(X2,szNzAzT0)
| ~ aSet0(X1)
| sbrdtbr0(X0) = X2 ),
inference(cnf_transformation,[],[f471]) ).
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_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_16838,plain,
( ~ aSet0(szNzAzT0)
| aSet0(xS) ),
inference(superposition,[status(thm)],[c_196,c_59]) ).
cnf(c_16916,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_16935,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS)
| aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_198,c_154]) ).
cnf(c_16959,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| ~ isCountable0(xS)
| aElementOf0(sK25(X0,xS),szDzozmdt0(xc)) ),
inference(superposition,[status(thm)],[c_198,c_207]) ).
cnf(c_16984,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| sbrdtbr0(sK25(X0,X1)) = xK ),
inference(superposition,[status(thm)],[c_207,c_153]) ).
cnf(c_17107,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aSet0(xT)
| ~ aFunction0(xc)
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ),
inference(superposition,[status(thm)],[c_197,c_16916]) ).
cnf(c_17120,plain,
( ~ aSet0(szNzAzT0)
| aSet0(xS) ),
inference(superposition,[status(thm)],[c_196,c_59]) ).
cnf(c_17158,plain,
( ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(X0,xT)
| aElementOf0(sK25(X0,xS),szDzozmdt0(xc)) ),
inference(global_subsumption_just,[status(thm)],[c_16959,c_195,c_16959]) ).
cnf(c_17159,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| aElementOf0(sK25(X0,xS),szDzozmdt0(xc)) ),
inference(renaming,[status(thm)],[c_17158]) ).
cnf(c_17170,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| sdtlpdtrp0(xc,sK25(X0,xS)) = sdtlpdtrp0(xc,slcrc0) ),
inference(superposition,[status(thm)],[c_17159,c_1795]) ).
cnf(c_17283,plain,
( ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| sbrdtbr0(sK25(X0,X1)) = xK ),
inference(global_subsumption_just,[status(thm)],[c_16984,c_194,c_16984]) ).
cnf(c_17284,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xS)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| sbrdtbr0(sK25(X0,X1)) = xK ),
inference(renaming,[status(thm)],[c_17283]) ).
cnf(c_17323,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_17371,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(xS)
| aSubsetOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_198,c_154]) ).
cnf(c_17400,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ),
inference(global_subsumption_just,[status(thm)],[c_17107,c_199,c_193,c_17107]) ).
cnf(c_17442,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| ~ isCountable0(xS)
| aElementOf0(sK25(X0,xS),szDzozmdt0(xc)) ),
inference(superposition,[status(thm)],[c_198,c_207]) ).
cnf(c_17487,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(xK,szNzAzT0)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| sbrdtbr0(sK25(X0,X1)) = xK ),
inference(superposition,[status(thm)],[c_207,c_153]) ).
cnf(c_17495,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aSubsetOf0(xS,xS)
| sdtlpdtrp0(xc,sK25(sdtlpdtrp0(xc,X0),xS)) = sdtlpdtrp0(xc,slcrc0) ),
inference(superposition,[status(thm)],[c_17400,c_17170]) ).
cnf(c_17585,plain,
aSet0(xS),
inference(global_subsumption_just,[status(thm)],[c_17120,c_95,c_16838]) ).
cnf(c_17805,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aSet0(xT)
| ~ aFunction0(xc)
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ),
inference(superposition,[status(thm)],[c_197,c_17323]) ).
cnf(c_17816,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aSubsetOf0(X0,xS) ),
inference(global_subsumption_just,[status(thm)],[c_17371,c_95,c_194,c_16838,c_16935]) ).
cnf(c_17882,plain,
( ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(X0,xT)
| aElementOf0(sK25(X0,xS),szDzozmdt0(xc)) ),
inference(global_subsumption_just,[status(thm)],[c_17442,c_195,c_16959]) ).
cnf(c_17883,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| aElementOf0(sK25(X0,xS),szDzozmdt0(xc)) ),
inference(renaming,[status(thm)],[c_17882]) ).
cnf(c_17892,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| aSubsetOf0(sK25(X0,xS),xS) ),
inference(superposition,[status(thm)],[c_17883,c_17816]) ).
cnf(c_17916,plain,
( ~ aSubsetOf0(xS,xS)
| sdtlpdtrp0(xc,sK25(sdtlpdtrp0(xc,slcrc0),xS)) = sdtlpdtrp0(xc,slcrc0) ),
inference(superposition,[status(thm)],[c_1518,c_17495]) ).
cnf(c_18165,plain,
( ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| sbrdtbr0(sK25(X0,X1)) = xK ),
inference(global_subsumption_just,[status(thm)],[c_17487,c_17284]) ).
cnf(c_18166,plain,
( ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(X1,xS)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| sbrdtbr0(sK25(X0,X1)) = xK ),
inference(renaming,[status(thm)],[c_18165]) ).
cnf(c_18334,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| aElementOf0(sdtlpdtrp0(xc,X0),xT) ),
inference(global_subsumption_just,[status(thm)],[c_17805,c_17400]) ).
cnf(c_18341,plain,
( ~ aElementOf0(X0,szDzozmdt0(xc))
| ~ aSubsetOf0(X1,xS)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| sbrdtbr0(sK25(sdtlpdtrp0(xc,X0),X1)) = xK ),
inference(superposition,[status(thm)],[c_18334,c_18166]) ).
cnf(c_18616,plain,
( ~ aSet0(xS)
| sdtlpdtrp0(xc,sK25(sdtlpdtrp0(xc,slcrc0),xS)) = sdtlpdtrp0(xc,slcrc0) ),
inference(superposition,[status(thm)],[c_61,c_17916]) ).
cnf(c_19022,plain,
( ~ aSubsetOf0(X0,xS)
| ~ aSet0(X0)
| ~ isCountable0(X0)
| sbrdtbr0(sK25(sdtlpdtrp0(xc,slcrc0),X0)) = xK ),
inference(superposition,[status(thm)],[c_1518,c_18341]) ).
cnf(c_19767,plain,
sdtlpdtrp0(xc,sK25(sdtlpdtrp0(xc,slcrc0),xS)) = sdtlpdtrp0(xc,slcrc0),
inference(global_subsumption_just,[status(thm)],[c_18616,c_95,c_16838,c_18616]) ).
cnf(c_19783,plain,
( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
| ~ aSubsetOf0(xS,xS)
| ~ isCountable0(xS) ),
inference(superposition,[status(thm)],[c_19767,c_206]) ).
cnf(c_20563,plain,
( ~ aSet0(sK25(X0,xS))
| ~ isCountable0(sK25(X0,xS))
| ~ aElementOf0(X0,xT)
| ~ aSubsetOf0(xS,xS)
| sbrdtbr0(sK25(sdtlpdtrp0(xc,slcrc0),sK25(X0,xS))) = xK ),
inference(superposition,[status(thm)],[c_17892,c_19022]) ).
cnf(c_22261,plain,
( ~ aSubsetOf0(xS,xS)
| ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT) ),
inference(global_subsumption_just,[status(thm)],[c_19783,c_195,c_19783]) ).
cnf(c_22262,plain,
( ~ aElementOf0(sdtlpdtrp0(xc,slcrc0),xT)
| ~ aSubsetOf0(xS,xS) ),
inference(renaming,[status(thm)],[c_22261]) ).
cnf(c_22267,plain,
( ~ aElementOf0(slcrc0,szDzozmdt0(xc))
| ~ aSubsetOf0(xS,xS) ),
inference(superposition,[status(thm)],[c_17400,c_22262]) ).
cnf(c_22278,plain,
~ aSubsetOf0(xS,xS),
inference(global_subsumption_just,[status(thm)],[c_20563,c_1518,c_22267]) ).
cnf(c_22280,plain,
~ aSet0(xS),
inference(superposition,[status(thm)],[c_61,c_22278]) ).
cnf(c_22281,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_17585,c_22280]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.13 % Problem : NUM566+1 : TPTP v8.1.2. Released v4.0.0.
% 0.04/0.14 % 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 : Thu May 2 19:37:43 EDT 2024
% 0.13/0.35 % CPUTime :
% 0.21/0.48 Running first-order theorem proving
% 0.21/0.48 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
% 7.57/1.67 % SZS status Started for theBenchmark.p
% 7.57/1.67 % SZS status Theorem for theBenchmark.p
% 7.57/1.67
% 7.57/1.67 %---------------- iProver v3.9 (pre CASC 2024/SMT-COMP 2024) ----------------%
% 7.57/1.67
% 7.57/1.67 ------ iProver source info
% 7.57/1.67
% 7.57/1.67 git: date: 2024-05-02 19:28:25 +0000
% 7.57/1.67 git: sha1: a33b5eb135c74074ba803943bb12f2ebd971352f
% 7.57/1.67 git: non_committed_changes: false
% 7.57/1.67
% 7.57/1.67 ------ Parsing...
% 7.57/1.67 ------ Clausification by vclausify_rel & Parsing by iProver...
% 7.57/1.67
% 7.57/1.67 ------ 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
% 7.57/1.67
% 7.57/1.67 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 7.57/1.67
% 7.57/1.67 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 7.57/1.67 ------ Proving...
% 7.57/1.67 ------ Problem Properties
% 7.57/1.67
% 7.57/1.67
% 7.57/1.67 clauses 151
% 7.57/1.67 conjectures 2
% 7.57/1.67 EPR 34
% 7.57/1.67 Horn 112
% 7.57/1.67 unary 17
% 7.57/1.67 binary 18
% 7.57/1.67 lits 543
% 7.57/1.67 lits eq 79
% 7.57/1.67 fd_pure 0
% 7.57/1.67 fd_pseudo 0
% 7.57/1.67 fd_cond 10
% 7.57/1.67 fd_pseudo_cond 24
% 7.57/1.67 AC symbols 0
% 7.57/1.67
% 7.57/1.67 ------ Input Options Time Limit: Unbounded
% 7.57/1.67
% 7.57/1.67
% 7.57/1.67 ------
% 7.57/1.67 Current options:
% 7.57/1.67 ------
% 7.57/1.67
% 7.57/1.67
% 7.57/1.67
% 7.57/1.67
% 7.57/1.67 ------ Proving...
% 7.57/1.67
% 7.57/1.67
% 7.57/1.67 % SZS status Theorem for theBenchmark.p
% 7.57/1.67
% 7.57/1.67 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 7.57/1.67
% 7.57/1.67
%------------------------------------------------------------------------------