TSTP Solution File: NUM543+2 by iProver---3.8
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- Process Solution
%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM543+2 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n020.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 57.24s 8.69s
% Output : CNFRefutation 57.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 13
% Syntax : Number of formulae : 93 ( 13 unt; 0 def)
% Number of atoms : 384 ( 54 equ)
% Maximal formula atoms : 11 ( 4 avg)
% Number of connectives : 481 ( 190 ~; 179 |; 84 &)
% ( 13 <=>; 15 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 10 ( 10 usr; 4 con; 0-2 aty)
% Number of variables : 134 ( 0 sgn; 87 !; 18 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( slcrc0 = X0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mDefEmp) ).
fof(f12,axiom,
! [X0] :
( aSet0(X0)
=> aSubsetOf0(X0,X0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSubRefl) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mZeroNum) ).
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(f52,axiom,
slcrc0 = slbdtrb0(sz00),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',mSegZero) ).
fof(f55,axiom,
( isFinite0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,xS)
=> aElementOf0(X0,szNzAzT0) )
& aSet0(xS) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__1986) ).
fof(f56,conjecture,
? [X0] :
( ( ( ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(X0)) )
=> ( aSubsetOf0(xS,slbdtrb0(X0))
| ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,slbdtrb0(X0)) ) ) )
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',m__) ).
fof(f57,negated_conjecture,
~ ? [X0] :
( ( ( ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(X0)) )
=> ( aSubsetOf0(xS,slbdtrb0(X0))
| ! [X1] :
( aElementOf0(X1,xS)
=> aElementOf0(X1,slbdtrb0(X0)) ) ) )
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[],[f56]) ).
fof(f64,plain,
~ ? [X0] :
( ( ( ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(X0)) )
=> ( aSubsetOf0(xS,slbdtrb0(X0))
| ! [X2] :
( aElementOf0(X2,xS)
=> aElementOf0(X2,slbdtrb0(X0)) ) ) )
& aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f57]) ).
fof(f67,plain,
! [X0] :
( slcrc0 = X0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f75,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(ennf_transformation,[],[f12]) ).
fof(f95,plain,
! [X0] :
( ( sz00 != szszuzczcdt0(X0)
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f25]) ).
fof(f103,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f32]) ).
fof(f104,plain,
! [X0,X1] :
( ( sdtlseqdt0(X0,X1)
<=> sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) )
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f103]) ).
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(ennf_transformation,[],[f48]) ).
fof(f127,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,[],[f126]) ).
fof(f136,plain,
( isFinite0(xS)
& aSubsetOf0(xS,szNzAzT0)
& ! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) )
& aSet0(xS) ),
inference(ennf_transformation,[],[f55]) ).
fof(f137,plain,
! [X0] :
( ( ~ aSubsetOf0(xS,slbdtrb0(X0))
& ? [X2] :
( ~ aElementOf0(X2,slbdtrb0(X0))
& aElementOf0(X2,xS) )
& ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f64]) ).
fof(f138,plain,
! [X0] :
( ( ~ aSubsetOf0(xS,slbdtrb0(X0))
& ? [X2] :
( ~ aElementOf0(X2,slbdtrb0(X0))
& aElementOf0(X2,xS) )
& ! [X1] :
( aElementOf0(X1,slbdtrb0(X0))
<=> ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) ) )
& aSet0(slbdtrb0(X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f137]) ).
fof(f145,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(nnf_transformation,[],[f67]) ).
fof(f146,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(flattening,[],[f145]) ).
fof(f147,plain,
! [X0] :
( ( slcrc0 = X0
| ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0) )
& ( ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) )
| slcrc0 != X0 ) ),
inference(rectify,[],[f146]) ).
fof(f148,plain,
! [X0] :
( ? [X1] : aElementOf0(X1,X0)
=> aElementOf0(sK4(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f149,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])],[f147,f148]) ).
fof(f169,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,[],[f104]) ).
fof(f179,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,[],[f127]) ).
fof(f180,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,[],[f179]) ).
fof(f181,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,[],[f180]) ).
fof(f182,plain,
! [X0,X1] :
( ? [X2] :
( ~ sdtlseqdt0(X2,X1)
& aElementOf0(X2,X0) )
=> ( ~ sdtlseqdt0(sK11(X0,X1),X1)
& aElementOf0(sK11(X0,X1),X0) ) ),
introduced(choice_axiom,[]) ).
fof(f183,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])],[f181,f182]) ).
fof(f192,plain,
! [X0] :
( ( ~ aSubsetOf0(xS,slbdtrb0(X0))
& ? [X2] :
( ~ aElementOf0(X2,slbdtrb0(X0))
& aElementOf0(X2,xS) )
& ! [X1] :
( ( aElementOf0(X1,slbdtrb0(X0))
| ~ sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X1,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) )
| ~ aElementOf0(X1,slbdtrb0(X0)) ) )
& aSet0(slbdtrb0(X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(nnf_transformation,[],[f138]) ).
fof(f193,plain,
! [X0] :
( ( ~ aSubsetOf0(xS,slbdtrb0(X0))
& ? [X2] :
( ~ aElementOf0(X2,slbdtrb0(X0))
& aElementOf0(X2,xS) )
& ! [X1] :
( ( aElementOf0(X1,slbdtrb0(X0))
| ~ sdtlseqdt0(szszuzczcdt0(X1),X0)
| ~ aElementOf0(X1,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X1),X0)
& aElementOf0(X1,szNzAzT0) )
| ~ aElementOf0(X1,slbdtrb0(X0)) ) )
& aSet0(slbdtrb0(X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(flattening,[],[f192]) ).
fof(f194,plain,
! [X0] :
( ( ~ aSubsetOf0(xS,slbdtrb0(X0))
& ? [X1] :
( ~ aElementOf0(X1,slbdtrb0(X0))
& aElementOf0(X1,xS) )
& ! [X2] :
( ( aElementOf0(X2,slbdtrb0(X0))
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,slbdtrb0(X0)) ) )
& aSet0(slbdtrb0(X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(rectify,[],[f193]) ).
fof(f195,plain,
! [X0] :
( ? [X1] :
( ~ aElementOf0(X1,slbdtrb0(X0))
& aElementOf0(X1,xS) )
=> ( ~ aElementOf0(sK13(X0),slbdtrb0(X0))
& aElementOf0(sK13(X0),xS) ) ),
introduced(choice_axiom,[]) ).
fof(f196,plain,
! [X0] :
( ( ~ aSubsetOf0(xS,slbdtrb0(X0))
& ~ aElementOf0(sK13(X0),slbdtrb0(X0))
& aElementOf0(sK13(X0),xS)
& ! [X2] :
( ( aElementOf0(X2,slbdtrb0(X0))
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) )
& ( ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) )
| ~ aElementOf0(X2,slbdtrb0(X0)) ) )
& aSet0(slbdtrb0(X0)) )
| ~ aElementOf0(X0,szNzAzT0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK13])],[f194,f195]) ).
fof(f198,plain,
! [X0] :
( aSet0(X0)
| slcrc0 != X0 ),
inference(cnf_transformation,[],[f149]) ).
fof(f209,plain,
! [X0] :
( aSubsetOf0(X0,X0)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f75]) ).
fof(f244,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f245,plain,
! [X0] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f95]) ).
fof(f253,plain,
! [X0,X1] :
( sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X1,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f169]) ).
fof(f274,plain,
! [X0,X1] :
( aElementOf0(X1,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f275,plain,
! [X3,X0,X1] :
( sdtlseqdt0(X3,X1)
| ~ aElementOf0(X3,X0)
| szmzazxdt0(X0) != X1
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f183]) ).
fof(f287,plain,
slcrc0 = slbdtrb0(sz00),
inference(cnf_transformation,[],[f52]) ).
fof(f294,plain,
! [X0] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f136]) ).
fof(f295,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f136]) ).
fof(f296,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f136]) ).
fof(f300,plain,
! [X2,X0] :
( aElementOf0(X2,slbdtrb0(X0))
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f301,plain,
! [X0] :
( aElementOf0(sK13(X0),xS)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f302,plain,
! [X0] :
( ~ aElementOf0(sK13(X0),slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f303,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f196]) ).
fof(f305,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f198]) ).
fof(f314,plain,
! [X3,X0] :
( sdtlseqdt0(X3,szmzazxdt0(X0))
| ~ aElementOf0(X3,X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f275]) ).
fof(f315,plain,
! [X0] :
( aElementOf0(szmzazxdt0(X0),X0)
| slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(equality_resolution,[],[f274]) ).
cnf(c_52,plain,
aSet0(slcrc0),
inference(cnf_transformation,[],[f305]) ).
cnf(c_61,plain,
( ~ aSet0(X0)
| aSubsetOf0(X0,X0) ),
inference(cnf_transformation,[],[f209]) ).
cnf(c_96,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f244]) ).
cnf(c_98,plain,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f245]) ).
cnf(c_106,plain,
( ~ sdtlseqdt0(X0,X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1)) ),
inference(cnf_transformation,[],[f253]) ).
cnf(c_128,plain,
( ~ aElementOf0(X0,X1)
| ~ aSubsetOf0(X1,szNzAzT0)
| ~ isFinite0(X1)
| X1 = slcrc0
| sdtlseqdt0(X0,szmzazxdt0(X1)) ),
inference(cnf_transformation,[],[f314]) ).
cnf(c_129,plain,
( ~ aSubsetOf0(X0,szNzAzT0)
| ~ isFinite0(X0)
| X0 = slcrc0
| aElementOf0(szmzazxdt0(X0),X0) ),
inference(cnf_transformation,[],[f315]) ).
cnf(c_139,plain,
slbdtrb0(sz00) = slcrc0,
inference(cnf_transformation,[],[f287]) ).
cnf(c_145,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f296]) ).
cnf(c_146,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f295]) ).
cnf(c_147,plain,
( ~ aElementOf0(X0,xS)
| aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f294]) ).
cnf(c_149,negated_conjecture,
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f303]) ).
cnf(c_150,negated_conjecture,
( ~ aElementOf0(sK13(X0),slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f302]) ).
cnf(c_151,negated_conjecture,
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(sK13(X0),xS) ),
inference(cnf_transformation,[],[f301]) ).
cnf(c_152,negated_conjecture,
( ~ sdtlseqdt0(szszuzczcdt0(X0),X1)
| ~ aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X1,szNzAzT0)
| aElementOf0(X0,slbdtrb0(X1)) ),
inference(cnf_transformation,[],[f300]) ).
cnf(c_278,plain,
( X0 != X1
| X2 != X3
| ~ aSubsetOf0(X1,X3)
| aSubsetOf0(X0,X2) ),
theory(equality) ).
cnf(c_306,plain,
( ~ aSubsetOf0(xS,slbdtrb0(sz00))
| ~ aElementOf0(sz00,szNzAzT0) ),
inference(instantiation,[status(thm)],[c_149]) ).
cnf(c_437,plain,
( slbdtrb0(sz00) != X0
| xS != X1
| ~ aSubsetOf0(X1,X0)
| aSubsetOf0(xS,slbdtrb0(sz00)) ),
inference(instantiation,[status(thm)],[c_278]) ).
cnf(c_892,plain,
( ~ aSet0(slcrc0)
| aSubsetOf0(slcrc0,slcrc0) ),
inference(instantiation,[status(thm)],[c_61]) ).
cnf(c_2305,plain,
( slbdtrb0(sz00) != X0
| xS != slcrc0
| ~ aSubsetOf0(slcrc0,X0)
| aSubsetOf0(xS,slbdtrb0(sz00)) ),
inference(instantiation,[status(thm)],[c_437]) ).
cnf(c_6519,plain,
( ~ aSubsetOf0(xS,szNzAzT0)
| ~ isFinite0(xS)
| xS = slcrc0
| aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(resolution,[status(thm)],[c_129,c_147]) ).
cnf(c_10977,plain,
( slbdtrb0(sz00) != slcrc0
| xS != slcrc0
| ~ aSubsetOf0(slcrc0,slcrc0)
| aSubsetOf0(xS,slbdtrb0(sz00)) ),
inference(instantiation,[status(thm)],[c_2305]) ).
cnf(c_41416,plain,
( ~ aElementOf0(X0,xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ isFinite0(xS)
| xS = slcrc0
| sdtlseqdt0(X0,szmzazxdt0(xS)) ),
inference(instantiation,[status(thm)],[c_128]) ).
cnf(c_44395,plain,
( ~ aElementOf0(sK13(X0),xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ isFinite0(xS)
| xS = slcrc0
| sdtlseqdt0(sK13(X0),szmzazxdt0(xS)) ),
inference(instantiation,[status(thm)],[c_41416]) ).
cnf(c_44397,plain,
( ~ aElementOf0(sK13(X0),xS)
| aElementOf0(sK13(X0),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_147]) ).
cnf(c_44429,plain,
( ~ sdtlseqdt0(szszuzczcdt0(X0),szszuzczcdt0(X1))
| ~ aElementOf0(szszuzczcdt0(X1),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(X0,slbdtrb0(szszuzczcdt0(X1))) ),
inference(instantiation,[status(thm)],[c_152]) ).
cnf(c_50879,plain,
( ~ sdtlseqdt0(szszuzczcdt0(sK13(szszuzczcdt0(X0))),szszuzczcdt0(X0))
| ~ aElementOf0(sK13(szszuzczcdt0(X0)),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| aElementOf0(sK13(szszuzczcdt0(X0)),slbdtrb0(szszuzczcdt0(X0))) ),
inference(instantiation,[status(thm)],[c_44429]) ).
cnf(c_50880,plain,
( ~ aElementOf0(sK13(szszuzczcdt0(X0)),slbdtrb0(szszuzczcdt0(X0)))
| ~ aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_150]) ).
cnf(c_55225,plain,
( ~ sdtlseqdt0(sK13(szszuzczcdt0(X0)),X0)
| ~ aElementOf0(sK13(szszuzczcdt0(X0)),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(sK13(szszuzczcdt0(X0))),szszuzczcdt0(X0)) ),
inference(instantiation,[status(thm)],[c_106]) ).
cnf(c_55807,plain,
( ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_98]) ).
cnf(c_70373,plain,
( ~ aElementOf0(sK13(szszuzczcdt0(X0)),xS)
| aElementOf0(sK13(szszuzczcdt0(X0)),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_44397]) ).
cnf(c_72419,plain,
( ~ sdtlseqdt0(sK13(szszuzczcdt0(szmzazxdt0(xS))),szmzazxdt0(xS))
| ~ aElementOf0(sK13(szszuzczcdt0(szmzazxdt0(xS))),szNzAzT0)
| ~ aElementOf0(szmzazxdt0(xS),szNzAzT0)
| sdtlseqdt0(szszuzczcdt0(sK13(szszuzczcdt0(szmzazxdt0(xS)))),szszuzczcdt0(szmzazxdt0(xS))) ),
inference(instantiation,[status(thm)],[c_55225]) ).
cnf(c_72420,plain,
( ~ aElementOf0(sK13(szszuzczcdt0(szmzazxdt0(xS))),xS)
| ~ aSubsetOf0(xS,szNzAzT0)
| ~ isFinite0(xS)
| xS = slcrc0
| sdtlseqdt0(sK13(szszuzczcdt0(szmzazxdt0(xS))),szmzazxdt0(xS)) ),
inference(instantiation,[status(thm)],[c_44395]) ).
cnf(c_76010,plain,
( ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| aElementOf0(sK13(szszuzczcdt0(szmzazxdt0(xS))),xS) ),
inference(instantiation,[status(thm)],[c_151]) ).
cnf(c_85639,plain,
( ~ aElementOf0(sK13(szszuzczcdt0(szmzazxdt0(xS))),xS)
| aElementOf0(sK13(szszuzczcdt0(szmzazxdt0(xS))),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_70373]) ).
cnf(c_86658,plain,
( ~ sdtlseqdt0(szszuzczcdt0(sK13(szszuzczcdt0(szmzazxdt0(xS)))),szszuzczcdt0(szmzazxdt0(xS)))
| ~ aElementOf0(sK13(szszuzczcdt0(szmzazxdt0(xS))),szNzAzT0)
| ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0)
| aElementOf0(sK13(szszuzczcdt0(szmzazxdt0(xS))),slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(instantiation,[status(thm)],[c_50879]) ).
cnf(c_94992,plain,
( ~ aElementOf0(sK13(szszuzczcdt0(szmzazxdt0(xS))),slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
inference(instantiation,[status(thm)],[c_50880]) ).
cnf(c_94993,plain,
$false,
inference(prop_impl_just,[status(thm)],[c_94992,c_86658,c_85639,c_76010,c_72420,c_72419,c_55807,c_10977,c_6519,c_892,c_306,c_139,c_96,c_146,c_52,c_145]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12 % Problem : NUM543+2 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.13 % Command : run_iprover %s %d THM
% 0.14/0.34 % Computer : n020.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Fri Aug 25 15:20:45 EDT 2023
% 0.14/0.34 % CPUTime :
% 0.20/0.47 Running first-order theorem proving
% 0.20/0.47 Running: /export/starexec/sandbox2/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox2/benchmark/theBenchmark.p 300
% 57.24/8.69 % SZS status Started for theBenchmark.p
% 57.24/8.69 % SZS status Theorem for theBenchmark.p
% 57.24/8.69
% 57.24/8.69 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 57.24/8.69
% 57.24/8.69 ------ iProver source info
% 57.24/8.69
% 57.24/8.69 git: date: 2023-05-31 18:12:56 +0000
% 57.24/8.69 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 57.24/8.69 git: non_committed_changes: false
% 57.24/8.69 git: last_make_outside_of_git: false
% 57.24/8.69
% 57.24/8.69 ------ Parsing...
% 57.24/8.69 ------ Clausification by vclausify_rel & Parsing by iProver...
% 57.24/8.69
% 57.24/8.69 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 1 0s sf_e
% 57.24/8.69
% 57.24/8.69 ------ Preprocessing...
% 57.24/8.69
% 57.24/8.69 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 57.24/8.69 ------ Proving...
% 57.24/8.69 ------ Problem Properties
% 57.24/8.69
% 57.24/8.69
% 57.24/8.69 clauses 103
% 57.24/8.69 conjectures 7
% 57.24/8.69 EPR 35
% 57.24/8.69 Horn 76
% 57.24/8.69 unary 12
% 57.24/8.69 binary 21
% 57.24/8.69 lits 340
% 57.24/8.69 lits eq 46
% 57.24/8.69 fd_pure 0
% 57.24/8.69 fd_pseudo 0
% 57.24/8.69 fd_cond 8
% 57.24/8.69 fd_pseudo_cond 15
% 57.24/8.69 AC symbols 0
% 57.24/8.69
% 57.24/8.69 ------ Input Options Time Limit: Unbounded
% 57.24/8.69
% 57.24/8.69
% 57.24/8.69 ------
% 57.24/8.69 Current options:
% 57.24/8.69 ------
% 57.24/8.69
% 57.24/8.69
% 57.24/8.69
% 57.24/8.69
% 57.24/8.69 ------ Proving...
% 57.24/8.69
% 57.24/8.69
% 57.24/8.69 % SZS status Theorem for theBenchmark.p
% 57.24/8.69
% 57.24/8.69 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 57.24/8.69
% 57.24/8.69
%------------------------------------------------------------------------------