TSTP Solution File: NUM633+3 by iProver---3.8
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%------------------------------------------------------------------------------
% File : iProver---3.8
% Problem : NUM633+3 : TPTP v8.1.2. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_iprover %s %d THM
% Computer : n022.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 11:32:02 EDT 2023
% Result : Theorem 9.54s 2.16s
% Output : CNFRefutation 9.54s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 10 unt; 0 def)
% Number of atoms : 420 ( 59 equ)
% Maximal formula atoms : 32 ( 7 avg)
% Number of connectives : 520 ( 158 ~; 133 |; 196 &)
% ( 1 <=>; 32 =>; 0 <=; 0 <~>)
% Maximal formula depth : 17 ( 7 avg)
% Maximal term depth : 4 ( 1 avg)
% 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 : 149 ( 0 sgn; 98 !; 31 ?)
% 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) ) ) ) )
=> ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& 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) )
& ~ ( slcrc0 = X0
| ~ ? [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) ) ) ) )
=> ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& 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) )
& ~ ( slcrc0 = X0
| ~ ? [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,[],[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) ) ) ) )
=> ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,X0)
=> aElementOf0(X2,xS) )
& aSubsetOf0(X0,xS)
& ! [X3] :
( aElementOf0(X3,X0)
=> aElementOf0(X3,xS) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X4] :
( aElementOf0(X4,X0)
=> aElementOf0(X4,szNzAzT0) )
& ~ ( slcrc0 = X0
| ~ ? [X5] : aElementOf0(X5,X0) ) ) )
=> ? [X6] :
( ? [X7] :
( ! [X8] :
( ( aElementOf0(X8,slbdtsldtrb0(X7,xK))
& xK = sbrdtbr0(X8)
& aSubsetOf0(X8,X7)
& ! [X9] :
( aElementOf0(X9,X8)
=> aElementOf0(X9,X7) )
& aSet0(X8) )
=> sdtlpdtrp0(xc,X8) = X6 )
& isCountable0(X7)
& ( aSubsetOf0(X7,xS)
| ( ! [X10] :
( aElementOf0(X10,X7)
=> aElementOf0(X10,xS) )
& aSet0(X7) ) ) )
& aElementOf0(X6,xT) ) ),
inference(rectify,[],[f100]) ).
fof(f248,plain,
( aSubsetOf0(xO,xS)
& ! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ) ),
inference(ennf_transformation,[],[f98]) ).
fof(f249,plain,
( ! [X6] :
( ! [X7] :
( ? [X8] :
( sdtlpdtrp0(xc,X8) != X6
& aElementOf0(X8,slbdtsldtrb0(X7,xK))
& xK = sbrdtbr0(X8)
& aSubsetOf0(X8,X7)
& ! [X9] :
( aElementOf0(X9,X7)
| ~ aElementOf0(X9,X8) )
& aSet0(X8) )
| ~ isCountable0(X7)
| ( ~ aSubsetOf0(X7,xS)
& ( ? [X10] :
( ~ aElementOf0(X10,xS)
& aElementOf0(X10,X7) )
| ~ aSet0(X7) ) ) )
| ~ aElementOf0(X6,xT) )
& ! [X0] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,xS)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X4] :
( aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X4,X0) )
& slcrc0 != X0
& ? [X5] : aElementOf0(X5,X0) )
| ( ~ aElementOf0(X0,slbdtsldtrb0(xO,xK))
& ( sbrdtbr0(X0) != xK
| ( ~ aSubsetOf0(X0,xO)
& ( ? [X1] :
( ~ aElementOf0(X1,xO)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) ) ) ) ),
inference(ennf_transformation,[],[f120]) ).
fof(f250,plain,
( ! [X6] :
( ! [X7] :
( ? [X8] :
( sdtlpdtrp0(xc,X8) != X6
& aElementOf0(X8,slbdtsldtrb0(X7,xK))
& xK = sbrdtbr0(X8)
& aSubsetOf0(X8,X7)
& ! [X9] :
( aElementOf0(X9,X7)
| ~ aElementOf0(X9,X8) )
& aSet0(X8) )
| ~ isCountable0(X7)
| ( ~ aSubsetOf0(X7,xS)
& ( ? [X10] :
( ~ aElementOf0(X10,xS)
& aElementOf0(X10,X7) )
| ~ aSet0(X7) ) ) )
| ~ aElementOf0(X6,xT) )
& ! [X0] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,xS)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X4] :
( aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X4,X0) )
& slcrc0 != X0
& ? [X5] : aElementOf0(X5,X0) )
| ( ~ aElementOf0(X0,slbdtsldtrb0(xO,xK))
& ( sbrdtbr0(X0) != xK
| ( ~ aSubsetOf0(X0,xO)
& ( ? [X1] :
( ~ aElementOf0(X1,xO)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) ) ) ) ),
inference(flattening,[],[f249]) ).
fof(f284,plain,
! [X0] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,xS)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X4] :
( aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X4,X0) )
& slcrc0 != X0
& ? [X5] : aElementOf0(X5,X0) )
| ~ sP25(X0) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP25])]) ).
fof(f285,plain,
! [X6,X7] :
( ? [X8] :
( sdtlpdtrp0(xc,X8) != X6
& aElementOf0(X8,slbdtsldtrb0(X7,xK))
& xK = sbrdtbr0(X8)
& aSubsetOf0(X8,X7)
& ! [X9] :
( aElementOf0(X9,X7)
| ~ aElementOf0(X9,X8) )
& aSet0(X8) )
| ~ sP26(X6,X7) ),
introduced(predicate_definition_introduction,[new_symbols(naming,[sP26])]) ).
fof(f286,plain,
( ! [X6] :
( ! [X7] :
( sP26(X6,X7)
| ~ isCountable0(X7)
| ( ~ aSubsetOf0(X7,xS)
& ( ? [X10] :
( ~ aElementOf0(X10,xS)
& aElementOf0(X10,X7) )
| ~ aSet0(X7) ) ) )
| ~ aElementOf0(X6,xT) )
& ! [X0] :
( sP25(X0)
| ( ~ aElementOf0(X0,slbdtsldtrb0(xO,xK))
& ( sbrdtbr0(X0) != xK
| ( ~ aSubsetOf0(X0,xO)
& ( ? [X1] :
( ~ aElementOf0(X1,xO)
& aElementOf0(X1,X0) )
| ~ aSet0(X0) ) ) ) ) ) ),
inference(definition_folding,[],[f250,f285,f284]) ).
fof(f468,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(f469,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,[],[f468]) ).
fof(f478,plain,
! [X6,X7] :
( ? [X8] :
( sdtlpdtrp0(xc,X8) != X6
& aElementOf0(X8,slbdtsldtrb0(X7,xK))
& xK = sbrdtbr0(X8)
& aSubsetOf0(X8,X7)
& ! [X9] :
( aElementOf0(X9,X7)
| ~ aElementOf0(X9,X8) )
& aSet0(X8) )
| ~ sP26(X6,X7) ),
inference(nnf_transformation,[],[f285]) ).
fof(f479,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
| ~ sP26(X0,X1) ),
inference(rectify,[],[f478]) ).
fof(f480,plain,
! [X0,X1] :
( ? [X2] :
( sdtlpdtrp0(xc,X2) != X0
& aElementOf0(X2,slbdtsldtrb0(X1,xK))
& sbrdtbr0(X2) = xK
& aSubsetOf0(X2,X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,X2) )
& aSet0(X2) )
=> ( sdtlpdtrp0(xc,sK73(X0,X1)) != X0
& aElementOf0(sK73(X0,X1),slbdtsldtrb0(X1,xK))
& xK = sbrdtbr0(sK73(X0,X1))
& aSubsetOf0(sK73(X0,X1),X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,sK73(X0,X1)) )
& aSet0(sK73(X0,X1)) ) ),
introduced(choice_axiom,[]) ).
fof(f481,plain,
! [X0,X1] :
( ( sdtlpdtrp0(xc,sK73(X0,X1)) != X0
& aElementOf0(sK73(X0,X1),slbdtsldtrb0(X1,xK))
& xK = sbrdtbr0(sK73(X0,X1))
& aSubsetOf0(sK73(X0,X1),X1)
& ! [X3] :
( aElementOf0(X3,X1)
| ~ aElementOf0(X3,sK73(X0,X1)) )
& aSet0(sK73(X0,X1)) )
| ~ sP26(X0,X1) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK73])],[f479,f480]) ).
fof(f482,plain,
! [X0] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,xS)
& ! [X3] :
( aElementOf0(X3,xS)
| ~ aElementOf0(X3,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X4] :
( aElementOf0(X4,szNzAzT0)
| ~ aElementOf0(X4,X0) )
& slcrc0 != X0
& ? [X5] : aElementOf0(X5,X0) )
| ~ sP25(X0) ),
inference(nnf_transformation,[],[f284]) ).
fof(f483,plain,
! [X0] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X0) )
& slcrc0 != X0
& ? [X4] : aElementOf0(X4,X0) )
| ~ sP25(X0) ),
inference(rectify,[],[f482]) ).
fof(f484,plain,
! [X0] :
( ? [X4] : aElementOf0(X4,X0)
=> aElementOf0(sK74(X0),X0) ),
introduced(choice_axiom,[]) ).
fof(f485,plain,
! [X0] :
( ( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
& aElementOf0(X0,szDzozmdt0(xc))
& aSubsetOf0(X0,xS)
& ! [X1] :
( aElementOf0(X1,xS)
| ~ aElementOf0(X1,X0) )
& aSubsetOf0(X0,xS)
& ! [X2] :
( aElementOf0(X2,xS)
| ~ aElementOf0(X2,X0) )
& aSubsetOf0(X0,szNzAzT0)
& ! [X3] :
( aElementOf0(X3,szNzAzT0)
| ~ aElementOf0(X3,X0) )
& slcrc0 != X0
& aElementOf0(sK74(X0),X0) )
| ~ sP25(X0) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK74])],[f483,f484]) ).
fof(f486,plain,
( ! [X0] :
( ! [X1] :
( sP26(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& ! [X3] :
( sP25(X3)
| ( ~ aElementOf0(X3,slbdtsldtrb0(xO,xK))
& ( sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xO)
& ( ? [X4] :
( ~ aElementOf0(X4,xO)
& aElementOf0(X4,X3) )
| ~ aSet0(X3) ) ) ) ) ) ),
inference(rectify,[],[f286]) ).
fof(f487,plain,
! [X1] :
( ? [X2] :
( ~ aElementOf0(X2,xS)
& aElementOf0(X2,X1) )
=> ( ~ aElementOf0(sK75(X1),xS)
& aElementOf0(sK75(X1),X1) ) ),
introduced(choice_axiom,[]) ).
fof(f488,plain,
! [X3] :
( ? [X4] :
( ~ aElementOf0(X4,xO)
& aElementOf0(X4,X3) )
=> ( ~ aElementOf0(sK76(X3),xO)
& aElementOf0(sK76(X3),X3) ) ),
introduced(choice_axiom,[]) ).
fof(f489,plain,
( ! [X0] :
( ! [X1] :
( sP26(X0,X1)
| ~ isCountable0(X1)
| ( ~ aSubsetOf0(X1,xS)
& ( ( ~ aElementOf0(sK75(X1),xS)
& aElementOf0(sK75(X1),X1) )
| ~ aSet0(X1) ) ) )
| ~ aElementOf0(X0,xT) )
& ! [X3] :
( sP25(X3)
| ( ~ aElementOf0(X3,slbdtsldtrb0(xO,xK))
& ( sbrdtbr0(X3) != xK
| ( ~ aSubsetOf0(X3,xO)
& ( ( ~ aElementOf0(sK76(X3),xO)
& aElementOf0(sK76(X3),X3) )
| ~ aSet0(X3) ) ) ) ) ) ),
inference(skolemisation,[status(esa),new_symbols(skolem,[sK75,sK76])],[f486,f488,f487]) ).
fof(f856,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f469]) ).
fof(f870,plain,
aSet0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f871,plain,
isCountable0(xO),
inference(cnf_transformation,[],[f96]) ).
fof(f880,plain,
! [X0] :
( aElementOf0(X0,xS)
| ~ aElementOf0(X0,xO) ),
inference(cnf_transformation,[],[f248]) ).
fof(f886,plain,
! [X0,X1] :
( aElementOf0(sK73(X0,X1),slbdtsldtrb0(X1,xK))
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f481]) ).
fof(f887,plain,
! [X0,X1] :
( sdtlpdtrp0(xc,sK73(X0,X1)) != X0
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f481]) ).
fof(f897,plain,
! [X0] :
( szDzizrdt0(xd) = sdtlpdtrp0(xc,X0)
| ~ sP25(X0) ),
inference(cnf_transformation,[],[f485]) ).
fof(f901,plain,
! [X3] :
( sP25(X3)
| ~ aElementOf0(X3,slbdtsldtrb0(xO,xK)) ),
inference(cnf_transformation,[],[f489]) ).
fof(f902,plain,
! [X0,X1] :
( sP26(X0,X1)
| ~ isCountable0(X1)
| aElementOf0(sK75(X1),X1)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f489]) ).
fof(f903,plain,
! [X0,X1] :
( sP26(X0,X1)
| ~ isCountable0(X1)
| ~ aElementOf0(sK75(X1),xS)
| ~ aSet0(X1)
| ~ aElementOf0(X0,xT) ),
inference(cnf_transformation,[],[f489]) ).
cnf(c_419,plain,
aElementOf0(szDzizrdt0(xd),xT),
inference(cnf_transformation,[],[f856]) ).
cnf(c_429,plain,
isCountable0(xO),
inference(cnf_transformation,[],[f871]) ).
cnf(c_430,plain,
aSet0(xO),
inference(cnf_transformation,[],[f870]) ).
cnf(c_440,plain,
( ~ aElementOf0(X0,xO)
| aElementOf0(X0,xS) ),
inference(cnf_transformation,[],[f880]) ).
cnf(c_441,plain,
( sdtlpdtrp0(xc,sK73(X0,X1)) != X0
| ~ sP26(X0,X1) ),
inference(cnf_transformation,[],[f887]) ).
cnf(c_442,plain,
( ~ sP26(X0,X1)
| aElementOf0(sK73(X0,X1),slbdtsldtrb0(X1,xK)) ),
inference(cnf_transformation,[],[f886]) ).
cnf(c_447,plain,
( ~ sP25(X0)
| sdtlpdtrp0(xc,X0) = szDzizrdt0(xd) ),
inference(cnf_transformation,[],[f897]) ).
cnf(c_458,negated_conjecture,
( ~ aElementOf0(sK75(X0),xS)
| ~ aElementOf0(X1,xT)
| ~ aSet0(X0)
| ~ isCountable0(X0)
| sP26(X1,X0) ),
inference(cnf_transformation,[],[f903]) ).
cnf(c_459,negated_conjecture,
( ~ aElementOf0(X0,xT)
| ~ aSet0(X1)
| ~ isCountable0(X1)
| aElementOf0(sK75(X1),X1)
| sP26(X0,X1) ),
inference(cnf_transformation,[],[f902]) ).
cnf(c_460,negated_conjecture,
( ~ aElementOf0(X0,slbdtsldtrb0(xO,xK))
| sP25(X0) ),
inference(cnf_transformation,[],[f901]) ).
cnf(c_34023,plain,
( ~ aElementOf0(X0,xT)
| ~ aSet0(xO)
| ~ isCountable0(xO)
| aElementOf0(sK75(xO),xS)
| sP26(X0,xO) ),
inference(superposition,[status(thm)],[c_459,c_440]) ).
cnf(c_34024,plain,
( ~ aElementOf0(X0,xT)
| aElementOf0(sK75(xO),xS)
| sP26(X0,xO) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34023,c_429,c_430]) ).
cnf(c_34086,plain,
( ~ aElementOf0(X0,xT)
| ~ aElementOf0(X1,xT)
| ~ aSet0(xO)
| ~ isCountable0(xO)
| sP26(X0,xO)
| sP26(X1,xO) ),
inference(superposition,[status(thm)],[c_34024,c_458]) ).
cnf(c_34090,plain,
( ~ aElementOf0(X0,xT)
| ~ aElementOf0(X1,xT)
| sP26(X0,xO)
| sP26(X1,xO) ),
inference(forward_subsumption_resolution,[status(thm)],[c_34086,c_429,c_430]) ).
cnf(c_34105,plain,
( ~ aElementOf0(X0,xT)
| sP26(szDzizrdt0(xd),xO)
| sP26(X0,xO) ),
inference(superposition,[status(thm)],[c_419,c_34090]) ).
cnf(c_34453,plain,
( ~ aElementOf0(szDzizrdt0(xd),xT)
| sP26(szDzizrdt0(xd),xO) ),
inference(equality_factoring,[status(thm)],[c_34105]) ).
cnf(c_34455,plain,
sP26(szDzizrdt0(xd),xO),
inference(forward_subsumption_resolution,[status(thm)],[c_34453,c_419]) ).
cnf(c_37435,plain,
( ~ sP26(X0,xO)
| sP25(sK73(X0,xO)) ),
inference(superposition,[status(thm)],[c_442,c_460]) ).
cnf(c_37957,plain,
( ~ sP26(X0,xO)
| sdtlpdtrp0(xc,sK73(X0,xO)) = szDzizrdt0(xd) ),
inference(superposition,[status(thm)],[c_37435,c_447]) ).
cnf(c_38076,plain,
sdtlpdtrp0(xc,sK73(szDzizrdt0(xd),xO)) = szDzizrdt0(xd),
inference(superposition,[status(thm)],[c_34455,c_37957]) ).
cnf(c_44617,plain,
~ sP26(szDzizrdt0(xd),xO),
inference(superposition,[status(thm)],[c_38076,c_441]) ).
cnf(c_44619,plain,
$false,
inference(forward_subsumption_resolution,[status(thm)],[c_44617,c_34455]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : NUM633+3 : TPTP v8.1.2. Released v4.0.0.
% 0.00/0.14 % Command : run_iprover %s %d THM
% 0.14/0.35 % Computer : n022.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 300
% 0.14/0.35 % DateTime : Fri Aug 25 12:37:55 EDT 2023
% 0.14/0.35 % CPUTime :
% 0.20/0.48 Running first-order theorem proving
% 0.20/0.48 Running: /export/starexec/sandbox/solver/bin/run_problem --schedule fof_schedule --no_cores 8 /export/starexec/sandbox/benchmark/theBenchmark.p 300
% 9.54/2.16 % SZS status Started for theBenchmark.p
% 9.54/2.16 % SZS status Theorem for theBenchmark.p
% 9.54/2.16
% 9.54/2.16 %---------------- iProver v3.8 (pre SMT-COMP 2023/CASC 2023) ----------------%
% 9.54/2.16
% 9.54/2.16 ------ iProver source info
% 9.54/2.16
% 9.54/2.16 git: date: 2023-05-31 18:12:56 +0000
% 9.54/2.16 git: sha1: 8abddc1f627fd3ce0bcb8b4cbf113b3cc443d7b6
% 9.54/2.16 git: non_committed_changes: false
% 9.54/2.16 git: last_make_outside_of_git: false
% 9.54/2.16
% 9.54/2.16 ------ Parsing...
% 9.54/2.16 ------ Clausification by vclausify_rel & Parsing by iProver...
% 9.54/2.16
% 9.54/2.16 ------ 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
% 9.54/2.16
% 9.54/2.16 ------ Preprocessing... gs_s sp: 0 0s gs_e snvd_s sp: 0 0s snvd_e
% 9.54/2.16
% 9.54/2.16 ------ Preprocessing... sf_s rm: 1 0s sf_e sf_s rm: 0 0s sf_e
% 9.54/2.16 ------ Proving...
% 9.54/2.16 ------ Problem Properties
% 9.54/2.16
% 9.54/2.16
% 9.54/2.16 clauses 374
% 9.54/2.16 conjectures 7
% 9.54/2.16 EPR 61
% 9.54/2.16 Horn 298
% 9.54/2.16 unary 40
% 9.54/2.16 binary 107
% 9.54/2.16 lits 1202
% 9.54/2.16 lits eq 170
% 9.54/2.16 fd_pure 0
% 9.54/2.16 fd_pseudo 0
% 9.54/2.16 fd_cond 10
% 9.54/2.16 fd_pseudo_cond 39
% 9.54/2.16 AC symbols 0
% 9.54/2.16
% 9.54/2.16 ------ Schedule dynamic 5 is on
% 9.54/2.16
% 9.54/2.16 ------ Input Options "--resolution_flag false --inst_lit_sel_side none" Time Limit: 10.
% 9.54/2.16
% 9.54/2.16
% 9.54/2.16 ------
% 9.54/2.16 Current options:
% 9.54/2.16 ------
% 9.54/2.16
% 9.54/2.16
% 9.54/2.16
% 9.54/2.16
% 9.54/2.16 ------ Proving...
% 9.54/2.16
% 9.54/2.16
% 9.54/2.16 % SZS status Theorem for theBenchmark.p
% 9.54/2.16
% 9.54/2.16 % SZS output start CNFRefutation for theBenchmark.p
% See solution above
% 9.54/2.16
% 9.54/2.17
%------------------------------------------------------------------------------