%------------------------------------------------------------------------------
% File : iProver---3.9.4
% Problem : NUM633+3 : 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 : n014.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 02:26:19 PM UTC 2026
% Result : Theorem 9.97s 3.25s
% Output : CNFRefutation 9.97s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 6
% Syntax : Number of formulae : 52 ( 12 unt; 2 def)
% Number of atoms : 377 ( 60 equ)
% Maximal formula atoms : 32 ( 7 avg)
% Number of connectives : 465 ( 140 ~; 114 |; 182 &)
% ( 1 <=>; 28 =>; 0 <=; 0 <~>)
% Maximal formula depth : 14 ( 6 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 : 18 ( 18 usr; 8 con; 0-2 aty)
% Number of variables : 132 ( 0 sgn 105 !; 27 ?; 15 :)
% Comments :
%------------------------------------------------------------------------------
fof(f94,axiom,
( ! [X0] :
( aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
<=> ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4854) ).
fof(f96,axiom,
( isCountable0(xO)
& aSet0(xO) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4908) ).
fof(f98,axiom,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xO)
=> aElementOf0(X0,xS) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__4998) ).
fof(f99,conjecture,
( ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xO,xK))
| ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xO)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xO) )
& aSet0(X0) ) ) ) )
=> ( sdtlpdtrp0(xc,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,szNzAzT0) )
& ~ ( X0 = slcrc0
| ~ ? [X1] : aElementOf0(X1,X0) ) ) )
=> ? [X0] :
( ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& ( aSubsetOf0(X1,xS)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSet0(X1) ) ) )
& aElementOf0(X0,xT) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',m__) ).
fof(f100,negated_conjecture,
~ ( ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xO,xK))
| ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xO)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xO) )
& aSet0(X0) ) ) ) )
=> ( sdtlpdtrp0(xc,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xS) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,szNzAzT0) )
& ~ ( X0 = slcrc0
| ~ ? [X1] : aElementOf0(X1,X0) ) ) )
=> ? [X0] :
( ? [X1] :
( ! [X2] :
( ( aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X2)
=> aElementOf0(X3,X1) )
& aSet0(X2) )
=> sdtlpdtrp0(xc,X2) = X0 )
& isCountable0(X1)
& ( aSubsetOf0(X1,xS)
| ( ! [X2] :
( aElementOf0(X2,X1)
=> aElementOf0(X2,xS) )
& aSet0(X1) ) ) )
& aElementOf0(X0,xT) ) ),
inference(negated_conjecture,[status(cth)],[f99]) ).
fof(f120,plain,
~ ( ! [X0] :
( ( aElementOf0(X0,slbdtsldtrb0(xO,xK))
| ( sbrdtbr0(X0) = xK
& ( aSubsetOf0(X0,xO)
| ( ! [X1] :
( aElementOf0(X1,X0)
=> aElementOf0(X1,xO) )
& aSet0(X0) ) ) ) )
=> ( sdtlpdtrp0(xc,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X5] :
( aElementOf0(X5,X0)
=> aElementOf0(X5,xS) )
& aSubsetOf0(X0,xS)
& ! [X4] :
( aElementOf0(X4,X0)
=> aElementOf0(X4,xS) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(X3,szNzAzT0) )
& ~ ( X0 = slcrc0
| ~ ? [X2] : aElementOf0(X2,X0) ) ) )
=> ? [X6] :
( ? [X7] :
( ! [X9] :
( ( aElementOf0(X9,slbdtsldtrb0(X7,xK))
& xK = sbrdtbr0(X9)
& aSubsetOf0(X9,X7)
& ! [X10] :
( aElementOf0(X10,X9)
=> aElementOf0(X10,X7) )
& aSet0(X9) )
=> sdtlpdtrp0(xc,X9) = X6 )
& isCountable0(X7)
& ( aSubsetOf0(X7,xS)
| ( ! [X8] :
( aElementOf0(X8,X7)
=> aElementOf0(X8,xS) )
& aSet0(X7) ) ) )
& aElementOf0(X6,xT) ) ),
inference(rectify,[],[f100]) ).
fof(f248,plain,
( aSubsetOf0(xO,xS)
& ! [X0] :
( ~ aElementOf0(X0,xO)
| aElementOf0(X0,xS) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f249,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,slbdtsldtrb0(xO,xK))
& ( sbrdtbr0(X0) != xK
| ( ~ aSubsetOf0(X0,xO)
& ( ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,xO) )
| ~ aSet0(X0) ) ) ) )
| ( sdtlpdtrp0(xc,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X5] :
( ~ aElementOf0(X5,X0)
| aElementOf0(X5,xS) )
& aSubsetOf0(X0,xS)
& ! [X4] :
( ~ aElementOf0(X4,X0)
| aElementOf0(X4,xS) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X3] :
( ~ aElementOf0(X3,X0)
| aElementOf0(X3,szNzAzT0) )
& slcrc0 != X0
& ? [X2] : aElementOf0(X2,X0) ) )
& ! [X6] :
( ! [X7] :
( ? [X9] :
( aElementOf0(X9,slbdtsldtrb0(X7,xK))
& xK = sbrdtbr0(X9)
& aSubsetOf0(X9,X7)
& ! [X10] :
( ~ aElementOf0(X10,X9)
| aElementOf0(X10,X7) )
& aSet0(X9)
& sdtlpdtrp0(xc,X9) != X6 )
| ~ isCountable0(X7)
| ( ~ aSubsetOf0(X7,xS)
& ( ? [X8] :
( aElementOf0(X8,X7)
& ~ aElementOf0(X8,xS) )
| ~ aSet0(X7) ) ) )
| ~ aElementOf0(X6,xT) ) ),
inference(ennf_transformation,[],[f120]) ).
fof(f250,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,slbdtsldtrb0(xO,xK))
& ( sbrdtbr0(X0) != xK
| ( ~ aSubsetOf0(X0,xO)
& ( ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,xO) )
| ~ aSet0(X0) ) ) ) )
| ( sdtlpdtrp0(xc,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X5] :
( ~ aElementOf0(X5,X0)
| aElementOf0(X5,xS) )
& aSubsetOf0(X0,xS)
& ! [X4] :
( ~ aElementOf0(X4,X0)
| aElementOf0(X4,xS) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X3] :
( ~ aElementOf0(X3,X0)
| aElementOf0(X3,szNzAzT0) )
& slcrc0 != X0
& ? [X2] : aElementOf0(X2,X0) ) )
& ! [X6] :
( ! [X7] :
( ? [X9] :
( aElementOf0(X9,slbdtsldtrb0(X7,xK))
& xK = sbrdtbr0(X9)
& aSubsetOf0(X9,X7)
& ! [X10] :
( ~ aElementOf0(X10,X9)
| aElementOf0(X10,X7) )
& aSet0(X9)
& sdtlpdtrp0(xc,X9) != X6 )
| ~ isCountable0(X7)
| ( ~ aSubsetOf0(X7,xS)
& ( ? [X8] :
( aElementOf0(X8,X7)
& ~ aElementOf0(X8,xS) )
| ~ aSet0(X7) ) ) )
| ~ aElementOf0(X6,xT) ) ),
inference(flattening,[],[f249]) ).
fof(f426,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& ( sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
| ~ aElementOf0(X0,szDzozmdt0(xd))
| aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(nnf_transformation,[],[f94]) ).
fof(f427,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd)))
| ( sdtlpdtrp0(xd,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xd)) ) )
& ( sdtlpdtrp0(xd,X0) != szDzizrdt0(xd)
| ~ aElementOf0(X0,szDzozmdt0(xd))
| aElementOf0(X0,sdtlbdtrb0(xd,szDzizrdt0(xd))) ) )
& aSet0(sdtlbdtrb0(xd,szDzizrdt0(xd)))
& aElementOf0(szDzizrdt0(xd),xT) ),
inference(flattening,[],[f426]) ).
fof(f434,plain,
! [X6,X7] :
( ~ sP26(X6,X7)
| ? [X9] :
( aElementOf0(X9,slbdtsldtrb0(X7,xK))
& xK = sbrdtbr0(X9)
& aSubsetOf0(X9,X7)
& ! [X10] :
( ~ aElementOf0(X10,X9)
| aElementOf0(X10,X7) )
& aSet0(X9)
& sdtlpdtrp0(xc,X9) != X6 ) ),
inference(nnf_transformation,[],[f285]) ).
fof(f435,plain,
! [X0,X1] :
( ~ sP26(X0,X1)
| ? [X2] :
( aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( ~ aElementOf0(X3,X2)
| aElementOf0(X3,X1) )
& aSet0(X2)
& sdtlpdtrp0(xc,X2) != X0 ) ),
inference(rectify,[],[f434]) ).
fof(f436,plain,
! [X0,X1] :
( ~ sP26(X0,X1)
| ( aElementOf0(sK73(X0,X1),slbdtsldtrb0(X1,xK))
& xK = sbrdtbr0(sK73(X0,X1))
& aSubsetOf0(sK73(X0,X1),X1)
& ! [X3] :
( ~ aElementOf0(X3,sK73(X0,X1))
| aElementOf0(X3,X1) )
& aSet0(sK73(X0,X1))
& sdtlpdtrp0(xc,sK73(X0,X1)) != X0 ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK73]),skolemize(X2,sK73(X0,X1))],[f435]) ).
fof(f440,plain,
( ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(xO,xK))
& ( sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xO)
& ( ? [X4] :
( aElementOf0(X4,X3)
& ~ aElementOf0(X4,xO) )
| ~ aSet0(X3) ) ) ) )
| sP25(X3) )
& ! [X0] :
( ! [X1] :
( sP26(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X2] :
( aElementOf0(X2,X1)
& ~ aElementOf0(X2,xS) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) ) ),
inference(rectify,[],[f286]) ).
fof(f441,plain,
( ! [X3] :
( ( ~ aElementOf0(X3,slbdtsldtrb0(xO,xK))
& ( sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xO)
& ( ( aElementOf0(sK76(X3),X3)
& ~ aElementOf0(sK76(X3),xO) )
| ~ aSet0(X3) ) ) ) )
| sP25(X3) )
& ! [X0] :
( ! [X1] :
( sP26(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ( aElementOf0(sK75(X1),X1)
& ~ aElementOf0(sK75(X1),xS) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK75,sK76]),skolemize(X2,sK75(X1)),skolemize(X4,sK76(X3))],[f440]) ).
fof(f812,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f427]) ).
fof(f822,plain,
isCountable0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f832,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f248]) ).
fof(f835,plain,
! [X0,X1] :
( ~ sP26(X0,X1)
| xK = sbrdtbr0(sK73(X0,X1)) ),
inference(cnf_transformation,[],[f436]) ).
fof(f836,plain,
! [X0,X1] :
( ~ sP26(X0,X1)
| aSubsetOf0(sK73(X0,X1),X1) ),
inference(cnf_transformation,[],[f436]) ).
fof(f839,plain,
! [X0,X1] :
( ~ sP26(X0,X1)
| sdtlpdtrp0(xc,sK73(X0,X1)) != X0 ),
inference(cnf_transformation,[],[f436]) ).
fof(f851,plain,
! [X3] :
( sbrdtbr0(X3) != xK
| ~ aSubsetOf0(X3,xO)
| sP25(X3) ),
inference(cnf_transformation,[],[f441]) ).
fof(f854,plain,
! [X0,X1] :
( sP26(X0,X1)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f441]) ).
tcf(c_415,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f812]) ).
tcf(c_430,plain,
isCountable0(xO),
inference(cnf_transformation,[],[f822]) ).
tcf(c_440,plain,
aSubsetOf0(xO,xS),
inference(cnf_transformation,[],[f832]) ).
tcf(c_441,plain,
! [X0: $i,X1: $i] :
( ~ sP26(X0,X1)
| ( sdtlpdtrp0(xc,sK73(X0,X1)) != X0 ) ),
inference(cnf_transformation,[],[f839]) ).
tcf(c_444,plain,
! [X0: $i,X1: $i] :
( aSubsetOf0(sK73(X0,X1),X1)
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f836]) ).
tcf(c_445,plain,
! [X0: $i,X1: $i] :
( ( sbrdtbr0(sK73(X0,X1)) = xK )
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f835]) ).
tcf(c_459,negated_conjecture,
! [X0: $i,X1: $i] :
( sP26(X0,X1)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f854]) ).
tcf(c_462,negated_conjecture,
! [X0: $i] :
( sP25(X0)
| ~ aSubsetOf0(X0,xO)
| ( sbrdtbr0(X0) != xK ) ),
inference(cnf_transformation,[],[f851]) ).
tcf(c_28279,negated_conjecture,
! [X0: $i] :
( sP25(X0)
| ~ aSubsetOf0(X0,xO)
| ( sbrdtbr0(X0) != xK ) ),
inference(demodulation,[status(thm)],[c_462]) ).
tcf(c_28282,negated_conjecture,
! [X0: $i,X1: $i] :
( sP26(X0,X1)
| ~ isCountable0(X1)
| ~ aSubsetOf0(X1,xS)
| ~ aElementOf0(X0,xT) ),
inference(demodulation,[status(thm)],[c_459]) ).
tcf(c_33715,plain,
! [X0: $i] :
( sP26(X0,xO)
| ~ isCountable0(xO)
| ~ aElementOf0(X0,xT) ),
inference(superposition,[status(thm)],[c_440,c_28282]) ).
tcf(c_33716,plain,
! [X0: $i] :
( sP26(X0,xO)
| ~ aElementOf0(X0,xT) ),
inference(forward_subsumption_resolution,[status(thm)],[c_33715,c_430]) ).
tcf(c_33740,plain,
sP26(szDzizrdt0(xd),xO),
inference(superposition,[status(thm)],[c_415,c_33716]) ).
tcf(c_37069,plain,
sbrdtbr0(sK73(szDzizrdt0(xd),xO)) = xK,
inference(superposition,[status(thm)],[c_33740,c_445]) ).
tcf(c_40251,plain,
( sP25(sK73(szDzizrdt0(xd),xO))
| ~ aSubsetOf0(sK73(szDzizrdt0(xd),xO),xO) ),
inference(superposition,[status(thm)],[c_37069,c_28279]) ).
tcf(c_40546,plain,
( sP25(sK73(szDzizrdt0(xd),xO))
| ~ sP26(szDzizrdt0(xd),xO) ),
inference(superposition,[status(thm)],[c_444,c_40251]) ).
tcf(c_40547,plain,
sP25(sK73(szDzizrdt0(xd),xO)),
inference(forward_subsumption_resolution,[status(thm)],[c_40546,c_33740]) ).
fof(f284,definition,
! [X0] :
( ~ sP25(X0)
| ( sdtlpdtrp0(xc,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X5] :
( ~ aElementOf0(X5,X0)
| aElementOf0(X5,xS) )
& aSubsetOf0(X0,xS)
& ! [X4] :
( ~ aElementOf0(X4,X0)
| aElementOf0(X4,xS) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X3] :
( ~ aElementOf0(X3,X0)
| aElementOf0(X3,szNzAzT0) )
& slcrc0 != X0
& ? [X2] : aElementOf0(X2,X0) ) ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f285,definition,
! [X6,X7] :
( ~ sP26(X6,X7)
| ? [X9] :
( aElementOf0(X9,slbdtsldtrb0(X7,xK))
& xK = sbrdtbr0(X9)
& aSubsetOf0(X9,X7)
& ! [X10] :
( ~ aElementOf0(X10,X9)
| aElementOf0(X10,X7) )
& aSet0(X9)
& sdtlpdtrp0(xc,X9) != X6 ) ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f286,plain,
( ! [X0] :
( ( ~ aElementOf0(X0,slbdtsldtrb0(xO,xK))
& ( sbrdtbr0(X0) != xK
| ( ~ aSubsetOf0(X0,xO)
& ( ? [X1] :
( aElementOf0(X1,X0)
& ~ aElementOf0(X1,xO) )
| ~ aSet0(X0) ) ) ) )
| sP25(X0) )
& ! [X6] :
( ! [X7] :
( sP26(X6,X7)
| ~ isCountable0(X7)
| ( ~ aSubsetOf0(X7,xS)
& ( ? [X8] :
( aElementOf0(X8,X7)
& ~ aElementOf0(X8,xS) )
| ~ aSet0(X7) ) ) )
| ~ aElementOf0(X6,xT) ) ),
inference(definition_folding,[],[f250,f285,f284]) ).
fof(f437,plain,
! [X0] :
( ~ sP25(X0)
| ( sdtlpdtrp0(xc,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X5] :
( ~ aElementOf0(X5,X0)
| aElementOf0(X5,xS) )
& aSubsetOf0(X0,xS)
& ! [X4] :
( ~ aElementOf0(X4,X0)
| aElementOf0(X4,xS) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X3] :
( ~ aElementOf0(X3,X0)
| aElementOf0(X3,szNzAzT0) )
& slcrc0 != X0
& ? [X2] : aElementOf0(X2,X0) ) ),
inference(nnf_transformation,[],[f284]) ).
fof(f438,plain,
! [X0] :
( ~ sP25(X0)
| ( sdtlpdtrp0(xc,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X4] :
( ~ aElementOf0(X4,X0)
| aElementOf0(X4,xS) )
& aSubsetOf0(X0,xS)
& ! [X3] :
( ~ aElementOf0(X3,X0)
| aElementOf0(X3,xS) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(X2,szNzAzT0) )
& slcrc0 != X0
& ? [X1] : aElementOf0(X1,X0) ) ),
inference(rectify,[],[f437]) ).
fof(f439,plain,
! [X0] :
( ~ sP25(X0)
| ( sdtlpdtrp0(xc,X0) = szDzizrdt0(xd)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X4] :
( ~ aElementOf0(X4,X0)
| aElementOf0(X4,xS) )
& aSubsetOf0(X0,xS)
& ! [X3] :
( ~ aElementOf0(X3,X0)
| aElementOf0(X3,xS) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X2] :
( ~ aElementOf0(X2,X0)
| aElementOf0(X2,szNzAzT0) )
& slcrc0 != X0
& aElementOf0(sK74(X0),X0) ) ),
inference(skolemize,[status(esa),new_symbols(skolem,[sK74]),skolemize(X1,sK74(X0))],[f438]) ).
fof(f840,plain,
! [X0] :
( ~ sP25(X0)
| szDzizrdt0(xd) = sdtlpdtrp0(xc,X0) ),
inference(cnf_transformation,[],[f439]) ).
tcf(c_456,plain,
! [X0: $i] :
( ( sdtlpdtrp0(xc,X0) = szDzizrdt0(xd) )
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f840]) ).
tcf(c_41383,plain,
sdtlpdtrp0(xc,sK73(szDzizrdt0(xd),xO)) = szDzizrdt0(xd),
inference(superposition,[status(thm)],[c_40547,c_456]) ).
tcf(c_43568,plain,
~ sP26(szDzizrdt0(xd),xO),
inference(superposition,[status(thm)],[c_41383,c_441]) ).
tcf(c_43569,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_43568,c_33740]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : NUM633+3 : TPTP v9.3.1. Released v4.0.0.
% 0.00/0.04 % Command : run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.09/0.36 % Computer : n014.cluster.edu
% 0.09/0.36 % Model : x86_64 x86_64
% 0.09/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.36 % Memory : 8046.5625MB
% 0.09/0.36 % OS : Linux 6.8.0-71-generic
% 0.09/0.36 % CPULimit : 300
% 0.09/0.36 % WCLimit : 300
% 0.09/0.36 % DateTime : Thu Sep 24 05:00:49 UTC 2026
% 0.03/0.36 % CPUTime :
% 0.03/0.36 Running run_iprover 300 /export/starexec/sandbox/benchmark/theBenchmark.p THM
% 0.03/0.40 Running first-order theorem proving
% 0.03/0.40 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
% 0.03/0.41
% 0.03/0.41 % ======== iProver multi-core TPTP/SMT =========
% 0.03/0.41
% 0.03/0.41 % Detected problem language: tptp
% 0.03/0.42 % Proving...
% 9.97/3.25 % SZS status Started for theBenchmark.p
% 9.97/3.25 % SZS status Theorem for theBenchmark.p
% 9.97/3.25
% 9.97/3.25 %---------------- iProver v3.9.4 (pre CASC 2026/SMT-COMP 2026) ----------------%
% 9.97/3.25
% 9.97/3.25 % ------ iProver source info
% 9.97/3.25
% 9.97/3.25 % git: date: 2026-07-19 20:42:38 +0200
% 9.97/3.25 % git: sha1: 804e7d636a263075307957e923b7a22a4035de61
% 9.97/3.25 % git: non_committed_changes: false
% 9.97/3.25
% 9.97/3.25 % ------ Parsing...
% 9.97/3.25 % ------ Clausification by vclausify_rel & Parsing by iProver...%
% 9.97/3.25
% 9.97/3.25 % ------ Preprocessing... sup_sim: 9 sf_s rm: 1 0s sf_e pe_s pe:1:0s pe:2:0s pe:4:0s pe:8:0s pe_e sup_sim: 0 sf_s rm: 4 0s sf_e pe_s pe_e %
% 9.97/3.25
% 9.97/3.25 % ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e %
% 9.97/3.25
% 9.97/3.25 % ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.97/3.25 % ------ Proving...
% 9.97/3.25 % ------ Problem Properties
% 9.97/3.25
% 9.97/3.25 %
% 9.97/3.25 % clauses 375
% 9.97/3.25 % conjectures 7
% 9.97/3.25 % EPR 62
% 9.97/3.25 % Horn 299
% 9.97/3.25 % unary 41
% 9.97/3.25 % binary 107
% 9.97/3.25 % lits 1203
% 9.97/3.25 % lits eq 171
% 9.97/3.25 % fd_pure 0
% 9.97/3.25 % fd_pseudo 0
% 9.97/3.25 % fd_cond 10
% 9.97/3.25 % fd_pseudo_cond 39
% 9.97/3.25 % AC symbols 0
% 9.97/3.25
% 9.97/3.25 % ------ Schedule dynamic 5 is on
% 9.97/3.25
% 9.97/3.25 % ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.97/3.25
% 9.97/3.25
% 9.97/3.25 % ------
% 9.97/3.25 % Current options:
% 9.97/3.25 % ------
% 9.97/3.25
% 9.97/3.25
% 9.97/3.25 %
% 9.97/3.25
% 9.97/3.25 % ------ Proving...
% 9.97/3.25 %
% 9.97/3.25
% 9.97/3.25 % SZS status Theorem for theBenchmark.p
% 9.97/3.25
% 9.97/3.25 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.97/3.25
% 9.97/3.25
%------------------------------------------------------------------------------