%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM545+1 : TPTP v9.3.1. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% Computer : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Fri Sep 25 02:25:57 PM UTC 2026
% Result : Theorem 6.93s 1.78s
% Output : CNFRefutation 6.93s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 10
% Syntax : Number of formulae : 86 ( 17 unt; 0 def)
% Number of atoms : 353 ( 60 equ)
% Maximal formula atoms : 17 ( 4 avg)
% Number of connectives : 433 ( 166 ~; 174 |; 75 &)
% ( 11 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 5 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of types : 1 ( 0 usr)
% Number of type conns : 0 ( 0 >; 0 *; 0 +; 0 <<)
% 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 : 126 ( 0 sgn 111 !; 15 ?; 20 :)
% Comments :
%------------------------------------------------------------------------------
fof(f5,axiom,
! [X0] :
( X0 = slcrc0
<=> ( ~ ? [X1] : aElementOf0(X1,X0)
& aSet0(X0) ) ),
file('/export/starexec/sandbox/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/sandbox/benchmark/theBenchmark.p',mDefSub) ).
fof(f23,axiom,
( isCountable0(szNzAzT0)
& aSet0(szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mNATSet) ).
fof(f24,axiom,
aElementOf0(sz00,szNzAzT0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mZeroNum) ).
fof(f25,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ( szszuzczcdt0(X0) != sz00
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mSuccNum) ).
fof(f48,axiom,
! [X0] :
( ( X0 != slcrc0
& isFinite0(X0)
& aSubsetOf0(X0,szNzAzT0) )
=> ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( ! [X2] :
( aElementOf0(X2,X0)
=> sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefMax) ).
fof(f50,axiom,
! [X0] :
( aElementOf0(X0,szNzAzT0)
=> ! [X1] :
( X1 = slbdtrb0(X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',mDefSeg) ).
fof(f55,axiom,
( isFinite0(xS)
& aSubsetOf0(xS,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__1986) ).
fof(f56,axiom,
( xS != slcrc0
=> aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__2035) ).
fof(f57,conjecture,
? [X0] :
( aSubsetOf0(xS,slbdtrb0(X0))
& aElementOf0(X0,szNzAzT0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f58,negated_conjecture,
~ ? [X0] :
( aSubsetOf0(xS,slbdtrb0(X0))
& aElementOf0(X0,szNzAzT0) ),
inference(negated_conjecture,[status(cth)],[f57]) ).
fof(f64,plain,
( slcrc0 = xS
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(ennf_transformation,[],[f56]) ).
fof(f65,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(ennf_transformation,[],[f58]) ).
fof(f73,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( aSubsetOf0(X1,X0)
<=> ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f77,plain,
! [X0] :
( X0 = slcrc0
<=> ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) ),
inference(ennf_transformation,[],[f5]) ).
fof(f86,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
inference(ennf_transformation,[],[f48]) ).
fof(f87,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( X1 = szmzazxdt0(X0)
<=> ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) ) ),
inference(flattening,[],[f86]) ).
fof(f93,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( X1 = slbdtrb0(X0)
<=> ( ! [X2] :
( aElementOf0(X2,X1)
<=> ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& aSet0(X1) ) ) ),
inference(ennf_transformation,[],[f50]) ).
fof(f98,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ( szszuzczcdt0(X0) != sz00
& aElementOf0(szszuzczcdt0(X0),szNzAzT0) ) ),
inference(ennf_transformation,[],[f25]) ).
fof(f138,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) )
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(nnf_transformation,[],[f73]) ).
fof(f139,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X2] :
( ~ aElementOf0(X2,X1)
| aElementOf0(X2,X0) )
& aSet0(X1) ) )
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(flattening,[],[f138]) ).
fof(f140,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aSet0(X1) ) )
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(rectify,[],[f139]) ).
fof(f141,plain,
! [X0] :
( ~ aSet0(X0)
| ! [X1] :
( ( ~ aSubsetOf0(X1,X0)
| ( ! [X3] :
( ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) )
& aSet0(X1) ) )
& ( ( aElementOf0(sK4(X0,X1),X1)
& ~ aElementOf0(sK4(X0,X1),X0) )
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK4]),skolemize(X2,sK4(X0,X1))],[f140]) ).
fof(f143,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) )
& ( ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(nnf_transformation,[],[f77]) ).
fof(f144,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X1] : ~ aElementOf0(X1,X0)
& aSet0(X0) ) )
& ( ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(flattening,[],[f143]) ).
fof(f145,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) ) )
& ( ? [X1] : aElementOf0(X1,X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(rectify,[],[f144]) ).
fof(f146,plain,
! [X0] :
( ( slcrc0 != X0
| ( ! [X2] : ~ aElementOf0(X2,X0)
& aSet0(X0) ) )
& ( aElementOf0(sK5(X0),X0)
| ~ aSet0(X0)
| X0 = slcrc0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK5]),skolemize(X1,sK5(X0))],[f145]) ).
fof(f148,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( szmzazxdt0(X0) != X1
| ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) )
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ sdtlseqdt0(X2,X1) )
| ~ aElementOf0(X1,X0)
| X1 = szmzazxdt0(X0) ) ) ),
inference(nnf_transformation,[],[f87]) ).
fof(f149,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( szmzazxdt0(X0) != X1
| ( ! [X2] :
( ~ aElementOf0(X2,X0)
| sdtlseqdt0(X2,X1) )
& aElementOf0(X1,X0) ) )
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ sdtlseqdt0(X2,X1) )
| ~ aElementOf0(X1,X0)
| X1 = szmzazxdt0(X0) ) ) ),
inference(flattening,[],[f148]) ).
fof(f150,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( szmzazxdt0(X0) != X1
| ( ! [X3] :
( ~ aElementOf0(X3,X0)
| sdtlseqdt0(X3,X1) )
& aElementOf0(X1,X0) ) )
& ( ? [X2] :
( aElementOf0(X2,X0)
& ~ sdtlseqdt0(X2,X1) )
| ~ aElementOf0(X1,X0)
| X1 = szmzazxdt0(X0) ) ) ),
inference(rectify,[],[f149]) ).
fof(f151,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| ! [X1] :
( ( szmzazxdt0(X0) != X1
| ( ! [X3] :
( ~ aElementOf0(X3,X0)
| sdtlseqdt0(X3,X1) )
& aElementOf0(X1,X0) ) )
& ( ( aElementOf0(sK6(X0,X1),X0)
& ~ sdtlseqdt0(sK6(X0,X1),X1) )
| ~ aElementOf0(X1,X0)
| X1 = szmzazxdt0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK6]),skolemize(X2,sK6(X0,X1))],[f150]) ).
fof(f155,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) != X1
| ( ! [X2] :
( ( ~ aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X2,X1) ) )
& aSet0(X1) ) )
& ( ? [X2] :
( ( aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) ) )
| ~ aSet0(X1)
| X1 = slbdtrb0(X0) ) ) ),
inference(nnf_transformation,[],[f93]) ).
fof(f156,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) != X1
| ( ! [X2] :
( ( ~ aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0)
| aElementOf0(X2,X1) ) )
& aSet0(X1) ) )
& ( ? [X2] :
( ( aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) ) )
| ~ aSet0(X1)
| X1 = slbdtrb0(X0) ) ) ),
inference(flattening,[],[f155]) ).
fof(f157,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) != X1
| ( ! [X3] :
( ( ~ aElementOf0(X3,X1)
| ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,X1) ) )
& aSet0(X1) ) )
& ( ? [X2] :
( ( aElementOf0(X2,X1)
| ( sdtlseqdt0(szszuzczcdt0(X2),X0)
& aElementOf0(X2,szNzAzT0) ) )
& ( ~ aElementOf0(X2,X1)
| ~ sdtlseqdt0(szszuzczcdt0(X2),X0)
| ~ aElementOf0(X2,szNzAzT0) ) )
| ~ aSet0(X1)
| X1 = slbdtrb0(X0) ) ) ),
inference(rectify,[],[f156]) ).
fof(f158,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| ! [X1] :
( ( slbdtrb0(X0) != X1
| ( ! [X3] :
( ( ~ aElementOf0(X3,X1)
| ( sdtlseqdt0(szszuzczcdt0(X3),X0)
& aElementOf0(X3,szNzAzT0) ) )
& ( ~ sdtlseqdt0(szszuzczcdt0(X3),X0)
| ~ aElementOf0(X3,szNzAzT0)
| aElementOf0(X3,X1) ) )
& aSet0(X1) ) )
& ( ( ( aElementOf0(sK7(X0,X1),X1)
| ( sdtlseqdt0(szszuzczcdt0(sK7(X0,X1)),X0)
& aElementOf0(sK7(X0,X1),szNzAzT0) ) )
& ( ~ aElementOf0(sK7(X0,X1),X1)
| ~ sdtlseqdt0(szszuzczcdt0(sK7(X0,X1)),X0)
| ~ aElementOf0(sK7(X0,X1),szNzAzT0) ) )
| ~ aSet0(X1)
| X1 = slbdtrb0(X0) ) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK7]),skolemize(X2,sK7(X0,X1))],[f157]) ).
fof(f174,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f55]) ).
fof(f175,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f55]) ).
fof(f176,plain,
( slcrc0 = xS
| aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS)))) ),
inference(cnf_transformation,[],[f64]) ).
fof(f177,plain,
! [X0] :
( ~ aSubsetOf0(xS,slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f65]) ).
fof(f182,plain,
! [X3,X0,X1] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| ~ aElementOf0(X3,X1)
| aElementOf0(X3,X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f183,plain,
! [X0,X1] :
( ~ aSet0(X0)
| ~ aSubsetOf0(X1,X0)
| aSet0(X1) ),
inference(cnf_transformation,[],[f141]) ).
fof(f184,plain,
! [X0,X1] :
( ~ aSet0(X0)
| aElementOf0(sK4(X0,X1),X1)
| ~ aSet0(X1)
| aSubsetOf0(X1,X0) ),
inference(cnf_transformation,[],[f141]) ).
fof(f191,plain,
! [X2,X0] :
( slcrc0 != X0
| ~ aElementOf0(X2,X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f192,plain,
! [X0] :
( slcrc0 != X0
| aSet0(X0) ),
inference(cnf_transformation,[],[f146]) ).
fof(f193,plain,
! [X0] :
( aElementOf0(sK5(X0),X0)
| ~ aSet0(X0)
| slcrc0 = X0 ),
inference(cnf_transformation,[],[f146]) ).
fof(f201,plain,
! [X0,X1] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| szmzazxdt0(X0) != X1
| aElementOf0(X1,X0) ),
inference(cnf_transformation,[],[f151]) ).
fof(f213,plain,
! [X0,X1] :
( ~ aElementOf0(X0,szNzAzT0)
| slbdtrb0(X0) != X1
| aSet0(X1) ),
inference(cnf_transformation,[],[f158]) ).
fof(f222,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aElementOf0(szszuzczcdt0(X0),szNzAzT0) ),
inference(cnf_transformation,[],[f98]) ).
fof(f223,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f24]) ).
fof(f233,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f23]) ).
fof(f271,plain,
aSet0(slcrc0),
inference(equality_resolution,[],[f192]) ).
fof(f272,plain,
! [X2] : ~ aElementOf0(X2,slcrc0),
inference(equality_resolution,[],[f191]) ).
fof(f273,plain,
! [X0] :
( slcrc0 = X0
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0)
| aElementOf0(szmzazxdt0(X0),X0) ),
inference(equality_resolution,[],[f201]) ).
fof(f276,plain,
! [X0] :
( ~ aElementOf0(X0,szNzAzT0)
| aSet0(slbdtrb0(X0)) ),
inference(equality_resolution,[],[f213]) ).
tcf(c_49,plain,
aSubsetOf0(xS,szNzAzT0),
inference(cnf_transformation,[],[f175]) ).
tcf(c_50,plain,
isFinite0(xS),
inference(cnf_transformation,[],[f174]) ).
tcf(c_51,plain,
( aSubsetOf0(xS,slbdtrb0(szszuzczcdt0(szmzazxdt0(xS))))
| ( xS = slcrc0 ) ),
inference(cnf_transformation,[],[f176]) ).
tcf(c_52,negated_conjecture,
! [X0: $i] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(xS,slbdtrb0(X0)) ),
inference(cnf_transformation,[],[f177]) ).
tcf(c_58,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(X1,X0)
| aElementOf0(sK4(X0,X1),X1)
| ~ aSet0(X1)
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f184]) ).
tcf(c_59,plain,
! [X0: $i,X1: $i] :
( aSet0(X0)
| ~ aSet0(X1)
| ~ aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f183]) ).
tcf(c_60,plain,
! [X0: $i,X1: $i,X2: $i] :
( aElementOf0(X2,X1)
| ~ aSet0(X1)
| ~ aElementOf0(X2,X0)
| ~ aSubsetOf0(X0,X1) ),
inference(cnf_transformation,[],[f182]) ).
tcf(c_66,plain,
! [X0: $i] :
( aElementOf0(sK5(X0),X0)
| ( X0 = slcrc0 )
| ~ aSet0(X0) ),
inference(cnf_transformation,[],[f193]) ).
tcf(c_67,plain,
aSet0(slcrc0),
inference(cnf_transformation,[],[f271]) ).
tcf(c_68,plain,
! [X0: $i] : ~ aElementOf0(X0,slcrc0),
inference(cnf_transformation,[],[f272]) ).
tcf(c_77,plain,
! [X0: $i] :
( aElementOf0(szmzazxdt0(X0),X0)
| ( X0 = slcrc0 )
| ~ isFinite0(X0)
| ~ aSubsetOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f273]) ).
tcf(c_88,plain,
! [X0: $i] :
( aSet0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f276]) ).
tcf(c_96,plain,
! [X0: $i] :
( aElementOf0(szszuzczcdt0(X0),szNzAzT0)
| ~ aElementOf0(X0,szNzAzT0) ),
inference(cnf_transformation,[],[f222]) ).
tcf(c_98,plain,
aElementOf0(sz00,szNzAzT0),
inference(cnf_transformation,[],[f223]) ).
tcf(c_107,plain,
aSet0(szNzAzT0),
inference(cnf_transformation,[],[f233]) ).
tcf(c_9552,plain,
( ( xS = slcrc0 )
| ~ aElementOf0(szszuzczcdt0(szmzazxdt0(xS)),szNzAzT0) ),
inference(superposition,[status(thm)],[c_51,c_52]) ).
tcf(c_9581,plain,
( aSet0(xS)
| ~ aSet0(szNzAzT0) ),
inference(superposition,[status(thm)],[c_49,c_59]) ).
tcf(c_9584,plain,
aSet0(xS),
inference(forward_subsumption_resolution,[status(thm)],[c_9581,c_107]) ).
tcf(c_9609,plain,
( ( xS = slcrc0 )
| ~ aElementOf0(szmzazxdt0(xS),szNzAzT0) ),
inference(superposition,[status(thm)],[c_96,c_9552]) ).
tcf(c_10191,plain,
! [X0: $i] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(slcrc0)
| ~ aSet0(X0) ),
inference(superposition,[status(thm)],[c_58,c_68]) ).
tcf(c_10195,plain,
! [X0: $i] :
( aSubsetOf0(slcrc0,X0)
| ~ aSet0(X0) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10191,c_67]) ).
tcf(c_10252,plain,
! [X0: $i] :
( aElementOf0(X0,szNzAzT0)
| ~ aSet0(szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(superposition,[status(thm)],[c_49,c_60]) ).
tcf(c_10255,plain,
! [X0: $i] :
( aElementOf0(X0,szNzAzT0)
| ~ aElementOf0(X0,xS) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10252,c_107]) ).
tcf(c_10357,plain,
( aElementOf0(sK5(xS),szNzAzT0)
| ( xS = slcrc0 )
| ~ aSet0(xS) ),
inference(superposition,[status(thm)],[c_66,c_10255]) ).
tcf(c_10358,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ( xS = slcrc0 )
| ~ isFinite0(xS)
| ~ aSubsetOf0(xS,szNzAzT0) ),
inference(superposition,[status(thm)],[c_77,c_10255]) ).
tcf(c_10359,plain,
( aElementOf0(sK5(xS),szNzAzT0)
| ( xS = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10357,c_9584]) ).
tcf(c_10366,plain,
( aElementOf0(szmzazxdt0(xS),szNzAzT0)
| ( xS = slcrc0 ) ),
inference(forward_subsumption_resolution,[status(thm)],[c_10358,c_50,c_49]) ).
tcf(c_10369,plain,
xS = slcrc0,
inference(global_subsumption_just,[status(thm)],[c_10359,c_9609,c_10366]) ).
tcf(c_10379,plain,
! [X0: $i] :
( ~ aElementOf0(X0,szNzAzT0)
| ~ aSubsetOf0(slcrc0,slbdtrb0(X0)) ),
inference(demodulation,[status(thm)],[c_52,c_10369]) ).
tcf(c_10390,plain,
! [X0: $i] :
( ~ aSet0(slbdtrb0(X0))
| ~ aElementOf0(X0,szNzAzT0) ),
inference(superposition,[status(thm)],[c_10195,c_10379]) ).
tcf(c_10395,plain,
! [X0: $i] : ~ aElementOf0(X0,szNzAzT0),
inference(global_subsumption_just,[status(thm)],[c_10390,c_88,c_10390]) ).
tcf(c_10398,plain,
$false,
inference(backward_subsumption_resolution,[status(thm)],[c_98,c_10395]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.05 % Problem : NUM545+1 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.07 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.20/0.45 % Computer : n005.cluster.edu
% 0.20/0.45 % Model : x86_64 x86_64
% 0.20/0.45 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.20/0.45 % Memory : 8046.5625MB
% 0.20/0.45 % OS : Linux 6.8.0-71-generic
% 0.20/0.45 % CPULimit : 300
% 0.20/0.45 % WCLimit : 300
% 0.20/0.45 % DateTime : Thu Sep 24 04:32:47 UTC 2026
% 0.20/0.46 % CPUTime :
% 0.20/0.46 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.23/0.52 Running first-order theorem proving
% 0.23/0.52 Running: /export/starexec/sandbox/solver/bin/iproveropt-multi-core.sh -d -n -l tptp -s fof_schedule -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.23/0.53
% 0.23/0.53 % ======== iProver multi-core TPTP/SMT =========
% 0.23/0.53
% 0.23/0.53 % Detected problem language: tptp
% 0.23/0.55 % Proving...
% 6.93/1.78 % SZS status Started for theBenchmark.p
% 6.93/1.78 % SZS status Theorem for theBenchmark.p
% 6.93/1.78
% 6.93/1.78 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 6.93/1.78
% 6.93/1.78 % ------ iProver source info
% 6.93/1.78
% 6.93/1.78 % git: date: 2026-07-19 20:42:38 +0200
% 6.93/1.78 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 6.93/1.78 % git: non_committed_changes: false
% 6.93/1.78
% 6.93/1.78 % ------ Parsing...
% 6.93/1.78 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 6.93/1.78
% 6.93/1.78 % ------ Preprocessing... sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe_e sup_sim: 0 sf_s rm: 1 0s sf_e pe_s pe_e %
% 6.93/1.78
% 6.93/1.78 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 6.93/1.78
% 6.93/1.78 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 6.93/1.78 % ------ Proving...
% 6.93/1.78 % ------ Problem Properties
% 6.93/1.78
% 6.93/1.78 %
% 6.93/1.78 % clauses 93
% 6.93/1.78 % conjectures 1
% 6.93/1.78 % EPR 31
% 6.93/1.78 % Horn 70
% 6.93/1.78 % unary 11
% 6.93/1.78 % binary 17
% 6.93/1.78 % lits 303
% 6.93/1.78 % lits eq 38
% 6.93/1.78 % fd_pure 0
% 6.93/1.78 % fd_pseudo 0
% 6.93/1.78 % fd_cond 5
% 6.93/1.78 % fd_pseudo_cond 13
% 6.93/1.78 % AC symbols 0
% 6.93/1.78
% 6.93/1.78 % ------ Schedule dynamic 5 is on
% 6.93/1.78
% 6.93/1.78 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 6.93/1.78
% 6.93/1.78
% 6.93/1.78 % ------
% 6.93/1.78 % Current options:
% 6.93/1.78 % ------
% 6.93/1.78
% 6.93/1.78
% 6.93/1.78 %
% 6.93/1.78
% 6.93/1.78 % ------ Proving...
% 6.93/1.78 %
% 6.93/1.78
% 6.93/1.78 % SZS status Theorem for theBenchmark.p
% 6.93/1.78
% 6.93/1.78 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 6.93/1.78
%------------------------------------------------------------------------------