TSTP Solution File: NUM544+1 by iProver---3.8
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM544+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 : Thu Aug 31 11:31:19 EDT 2023
% Result : Theorem 43.06s 6.79s
% Output : CNFRefutation 43.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 12
% Number of leaves : 14
% Syntax : Number of formulae : 104 ( 16 unt; 0 def)
% Number of atoms : 466 ( 72 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 610 ( 248 ~; 251 |; 84 &)
% ( 14 <=>; 13 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 6 avg)
% Maximal term depth : 6 ( 1 avg)
% Number of predicates : 8 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 11 ( 11 usr; 4 con; 0-2 aty)
% Number of variables : 165 ( 1 sgn; 118 !; 17 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
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(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mNATSet) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccNum) ).
fof(f32,axiom,
! [X0,X1] :
( ( aElementOf0(X1,szNzAzT0)
& aElementOf0(X0,szNzAzT0) )
=> ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSuccLess) ).
fof(f48,axiom,
! [X0] :
( ( slcrc0 != X0
& isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefMax) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefSeg) ).
fof(f55,axiom,
( isFinite0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1986) ).
fof(f56,conjecture,
( slcrc0 != xS
=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ ( slcrc0 != xS
=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(negated_conjecture,[],[f56]) ).
fof(f66,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f71,plain,
! [X0] :
( ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
| ~ aElementOf0(X2,X1) )
& aSet0(X1) ) )
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f10]) ).
fof(f94,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f102,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f103,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f102]) ).
fof(f125,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f48]) ).
fof(f126,plain,
! [X0] :
( ! [X1] :
( szmzazxdt0(X0) = X1
<=> ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f125]) ).
fof(f129,plain,
! [X0] :
( ! [X1] :
( slbdtrb0(X0) = X1
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f50]) ).
fof(f135,plain,
( ~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
& slcrc0 != xS ),
inference(ennf_transformation,[],[f57]) ).
fof(f142,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f66]) ).
fof(f143,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f142]) ).
fof(f144,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f143]) ).
fof(f145,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f146,plain,
! [X0] :
( ( slcrc0 = X0
| aElementOf0(sK4(X0),X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK4])],[f144,f145]) ).
fof(f147,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,[],[f71]) ).
fof(f148,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,[],[f147]) ).
fof(f149,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,[],[f148]) ).
fof(f150,plain,
! [X0,X1] :
( ? [X2] :
( ~ aElementOf0(X2,X0)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK5(X0,X1),X0)
& aElementOf0(sK5(X0,X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f151,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])],[f149,f150]) ).
fof(f166,plain,
! [X0,X1] :
( ( ( sdtlseqdt0(X0,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
& ( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1) ) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f103]) ).
fof(f176,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f126]) ).
fof(f177,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X2] :
( sdtlseqdt0(X2,X1)
| ~ aElementOf0(X2,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(flattening,[],[f176]) ).
fof(f178,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(rectify,[],[f177]) ).
fof(f179,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(sK11(X0,X1),X1)
& aElementOf0(sK11(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f180,plain,
! [X0] :
( ! [X1] :
( ( szmzazxdt0(X0) = X1
| ( ~ sdtlseqdt0(sK11(X0,X1),X1)
& aElementOf0(sK11(X0,X1),X0) )
| ~ aElementOf0(X1,X0) )
& ( ( ! [X3] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0) )
& aElementOf0(X1,X0) )
| szmzazxdt0(X0) != X1 ) )
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK11])],[f178,f179]) ).
fof(f181,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f129]) ).
fof(f182,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X2] :
( ( aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f181]) ).
fof(f183,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f182]) ).
fof(f184,plain,
! [X0,X1] :
( ? [X2] :
( ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X2,X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| aElementOf0(X2,X1) ) )
=> ( ( ~ sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
| ~ aElementOf0(sK12(X0,X1),szNzAzT0)
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
& aElementOf0(sK12(X0,X1),szNzAzT0) )
| aElementOf0(sK12(X0,X1),X1) ) ) ),
introduced(choice_axiom,[]) ).
fof(f185,plain,
! [X0] :
( ! [X1] :
( ( slbdtrb0(X0) = X1
| ( ( ~ sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
| ~ aElementOf0(sK12(X0,X1),szNzAzT0)
| ~ aElementOf0(sK12(X0,X1),X1) )
& ( ( sdtlseqdt0(szszuzczcdt0(sK12(X0,X1)),X0)
& aElementOf0(sK12(X0,X1),szNzAzT0) )
| aElementOf0(sK12(X0,X1),X1) ) )
| ~ aSet0(X1) )
& ( ( ! [X3] :
( ( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) )
| ~ aElementOf0(X3,X1) ) )
& aSet0(X1) )
| slbdtrb0(X0) != X1 ) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK12])],[f183,f184]) ).
fof(f190,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f146]) ).
fof(f191,plain,
! [X2,X0] :
( ~ aElementOf0(X2,X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f146]) ).
fof(f192,plain,
! [X0] :
( slcrc0 = X0
| aElementOf0(sK4(X0),X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f196,plain,
! [X0,X1] :
( aSet0(X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f197,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X0)
| ~ aElementOf0(X3,X1)
| ~ aSubsetOf0(X1,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f198,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK5(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f199,plain,
! [X0,X1] :
( aSubsetOf0(X1,X0)
| ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f234,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f237,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f94]) ).
fof(f245,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f166]) ).
fof(f266,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f267,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f180]) ).
fof(f271,plain,
! [X0,X1] :
( aSet0(X1)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f274,plain,
! [X3,X0,X1] :
( aElementOf0(X3,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| slbdtrb0(X0) != X1
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f185]) ).
fof(f285,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f55]) ).
fof(f286,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f55]) ).
fof(f287,plain,
slcrc0 != xS,
inference(cnf_transformation,[],[f135]) ).
fof(f288,plain,
~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
inference(cnf_transformation,[],[f135]) ).
fof(f289,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f191]) ).
fof(f290,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f190]) ).
fof(f299,plain,
! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f267]) ).
fof(f300,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f266]) ).
fof(f301,plain,
! [X3,X0] :
( aElementOf0(X3,slbdtrb0(X0))
| ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f274]) ).
fof(f304,plain,
! [X0] :
( aSet0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f271]) ).
cnf(c_50,plain,
( ~ aSet0(X0)
| X0 = slcrc0
| aElementOf0(sK4(X0),X0) ),
inference(cnf_transformation,[],[f192]) ).
cnf(c_51,plain,
~ aElementOf0(X0,slcrc0),
inference(cnf_transformation,[],[f289]) ).
cnf(c_52,plain,
aSet0(slcrc0),
inference(cnf_transformation,[],[f290]) ).
cnf(c_56,plain,
( ~ aElementOf0(sK5(X0,X1),X0)
| ~ aSet0(X0)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f199]) ).
cnf(c_57,plain,
( ~ aSet0(X0)
| ~ aSet0(X1)
| aElementOf0(sK5(X1,X0),X0)
| aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f198]) ).
cnf(c_58,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,X2)
| ~ aSet0(X2)
| aElementOf0(X0,X2) ),
inference(cnf_transformation,[],[f197]) ).
cnf(c_59,plain,
( ~ aSubsetOf0(X0,X1)
| ~ aSet0(X1)
| aSet0(X0) ),
inference(cnf_transformation,[],[f196]) ).
cnf(c_95,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f234]) ).
cnf(c_98,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f237]) ).
cnf(c_106,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_128,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1)
| X1 = slcrc0
| sdtlseqdt0(X0,szmzazxdt0(X1)) ),
inference(cnf_transformation,[],[f299]) ).
cnf(c_129,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| X0 = slcrc0
| aElementOf0(szmzazxdt0(X0),X0) ),
inference(cnf_transformation,[],[f300]) ).
cnf(c_134,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,slbdtrb0(X1)) ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_137,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(cnf_transformation,[],[f304]) ).
cnf(c_145,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f286]) ).
cnf(c_146,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f285]) ).
cnf(c_147,negated_conjecture,
~ aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))),
inference(cnf_transformation,[],[f288]) ).
cnf(c_148,negated_conjecture,
slcrc0 != xS,
inference(cnf_transformation,[],[f287]) ).
cnf(c_245,plain,
( X0 != X1
| X2 != X1
| X2 = X0 ),
theory(equality) ).
cnf(c_285,plain,
( slcrc0 != X0
| xS != X0
| slcrc0 = xS ),
inference(instantiation,[status(thm)],[c_245]) ).
cnf(c_317,plain,
( ~ aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aSet0(xS)
| aElementOf0(sK5(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),xS)
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(instantiation,[status(thm)],[c_57]) ).
cnf(c_375,plain,
( ~ aElementOf0(sK5(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),xS)
| ~ aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| aElementOf0(sK5(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),X0) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_376,plain,
( ~ aElementOf0(sK5(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ aSet0(szNzAzT0)
| aElementOf0(sK5(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_375]) ).
cnf(c_394,plain,
( ~ aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| aSet0(xS) ),
inference(instantiation,[status(thm)],[c_59]) ).
cnf(c_395,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| ~ aSet0(szNzAzT0)
| aSet0(xS) ),
inference(instantiation,[status(thm)],[c_394]) ).
cnf(c_510,plain,
( ~ aSet0(slcrc0)
| slcrc0 = slcrc0
| aElementOf0(sK4(slcrc0),slcrc0) ),
inference(instantiation,[status(thm)],[c_50]) ).
cnf(c_511,plain,
~ aElementOf0(sK4(slcrc0),slcrc0),
inference(instantiation,[status(thm)],[c_51]) ).
cnf(c_968,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| ~ isFinite0(xS)
| xS = slcrc0
| aElementOf0(szmzazxdt0(xS),xS) ),
inference(instantiation,[status(thm)],[c_129]) ).
cnf(c_1149,plain,
( ~ aElementOf0(X0,xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ isFinite0(xS)
| xS = slcrc0
| sdtlseqdt0(X0,szmzazxdt0(xS)) ),
inference(instantiation,[status(thm)],[c_128]) ).
cnf(c_2577,plain,
( slcrc0 != slcrc0
| xS != slcrc0
| slcrc0 = xS ),
inference(instantiation,[status(thm)],[c_285]) ).
cnf(c_2814,plain,
( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(instantiation,[status(thm)],[c_137]) ).
cnf(c_5141,plain,
( ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_5425,plain,
( ~ aElementOf0(szmzazxdt0(xS),xS)
| ~ aSubsetOf0(xS,X0)
| ~ aSet0(X0)
| aElementOf0(szmzazxdt0(xS),X0) ),
inference(instantiation,[status(thm)],[c_58]) ).
cnf(c_5426,plain,
( ~ aElementOf0(szmzazxdt0(xS),xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ aSet0(szNzAzT0)
| aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_5425]) ).
cnf(c_10671,plain,
( ~ aElementOf0(sK5(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ isFinite0(xS)
| xS = slcrc0
| sdtlseqdt0(sK5(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),szmzazxdt0(xS)) ),
inference(instantiation,[status(thm)],[c_1149]) ).
cnf(c_39098,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ),
inference(instantiation,[status(thm)],[c_134]) ).
cnf(c_39140,plain,
( ~ aElementOf0(sK5(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aSet0(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aSet0(xS)
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(instantiation,[status(thm)],[c_56]) ).
cnf(c_40217,plain,
( ~ sdtlseqdt0(szszuzczcdt0(sK5(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS)),szszuzczcdt0(szmzazxdt0(xS)))
| ~ aElementOf0(sK5(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| aElementOf0(sK5(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(instantiation,[status(thm)],[c_39098]) ).
cnf(c_41135,plain,
( ~ sdtlseqdt0(sK5(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),szmzazxdt0(xS))
| ~ aElementOf0(sK5(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS),szNzAzT0)
| ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(sK5(slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))),xS)),szszuzczcdt0(szmzazxdt0(xS))) ),
inference(instantiation,[status(thm)],[c_106]) ).
cnf(c_41136,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_41135,c_40217,c_39140,c_10671,c_5426,c_5141,c_2814,c_2577,c_968,c_511,c_510,c_395,c_376,c_317,c_147,c_148,c_146,c_52,c_95,c_145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM544+1 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.15/0.35 % Computer : n021.cluster.edu
% 0.15/0.35 % Model : x86_64 x86_64
% 0.15/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35 % Memory : 8042.1875MB
% 0.15/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35 % CPULimit : 300
% 0.15/0.35 % WCLimit : 300
% 0.15/0.35 % DateTime : Fri Aug 25 10:03:26 EDT 2023
% 0.15/0.35 % CPUTime :
% 0.22/0.49 Running first-order theorem proving
% 0.22/0.49 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 43.06/6.79 % SZS status Started for theBenchmark.p
% 43.06/6.79 % SZS status Theorem for theBenchmark.p
% 43.06/6.79
% 43.06/6.79 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 43.06/6.79
% 43.06/6.79 ------ iProver source info
% 43.06/6.79
% 43.06/6.79 git: date: 2023-05-31 18:12:56 +0000
% 43.06/6.79 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 43.06/6.79 git: non_committed_changes: false
% 43.06/6.79 git: last_make_outside_of_git: false
% 43.06/6.79
% 43.06/6.79 ------ Parsing...
% 43.06/6.79 ------ Clausification by vclausify_rel & Parsing by iProver...
% 43.06/6.79
% 43.06/6.79 ------ Preprocessing... sf_s rm: 1 0s sf_e
% 43.06/6.79
% 43.06/6.79 ------ Preprocessing...
% 43.06/6.79
% 43.06/6.79 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 43.06/6.79 ------ Proving...
% 43.06/6.79 ------ Problem Properties
% 43.06/6.79
% 43.06/6.79
% 43.06/6.79 clauses 100
% 43.06/6.79 conjectures 2
% 43.06/6.79 EPR 34
% 43.06/6.79 Horn 73
% 43.06/6.79 unary 13
% 43.06/6.79 binary 17
% 43.06/6.79 lits 333
% 43.06/6.79 lits eq 47
% 43.06/6.79 fd_pure 0
% 43.06/6.79 fd_pseudo 0
% 43.06/6.79 fd_cond 8
% 43.06/6.79 fd_pseudo_cond 15
% 43.06/6.79 AC symbols 0
% 43.06/6.79
% 43.06/6.79 ------ Input Options Time Limit: Unbounded
% 43.06/6.79
% 43.06/6.79
% 43.06/6.79 ------
% 43.06/6.79 Current options:
% 43.06/6.79 ------
% 43.06/6.79
% 43.06/6.79
% 43.06/6.79
% 43.06/6.79
% 43.06/6.79 ------ Proving...
% 43.06/6.79
% 43.06/6.79
% 43.06/6.79 % SZS status Theorem for theBenchmark.p
% 43.06/6.79
% 43.06/6.79 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 43.06/6.79
% 43.52/6.79
%------------------------------------------------------------------------------