%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : LAT385+4 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n008.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 : 600s
% DateTime : Sun Jul 17 06:03:40 EDT 2022
% Result : Theorem 0.19s 0.40s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 15
% Number of leaves : 4
% Syntax : Number of formulae : 43 ( 11 unt; 1 def)
% Number of atoms : 344 ( 6 equ)
% Maximal formula atoms : 40 ( 8 avg)
% Number of connectives : 417 ( 116 ~; 121 |; 155 &)
% ( 2 <=>; 23 =>; 0 <=; 0 <~>)
% Maximal formula depth : 28 ( 7 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 15 ( 13 usr; 1 prp; 0-3 aty)
% Number of functors : 13 ( 13 usr; 4 con; 0-3 aty)
% Number of variables : 103 ( 1 sgn 70 !; 28 ?)
% Comments :
%------------------------------------------------------------------------------
fof(m__1123,hypothesis,
( aSet0(xU)
& ! [W0] :
( ( ( aSet0(W0)
& ! [W1] :
( aElementOf0(W1,W0)
=> aElementOf0(W1,xU) ) )
| aSubsetOf0(W0,xU) )
=> ? [W1] :
( aElementOf0(W1,xU)
& aElementOf0(W1,xU)
& ! [W2] :
( aElementOf0(W2,W0)
=> sdtlseqdt0(W1,W2) )
& aLowerBoundOfIn0(W1,W0,xU)
& ! [W2] :
( ( ( aElementOf0(W2,xU)
& ! [W3] :
( aElementOf0(W3,W0)
=> sdtlseqdt0(W2,W3) ) )
| aLowerBoundOfIn0(W2,W0,xU) )
=> sdtlseqdt0(W2,W1) )
& aInfimumOfIn0(W1,W0,xU)
& ? [W2] :
( aElementOf0(W2,xU)
& aElementOf0(W2,xU)
& ! [W3] :
( aElementOf0(W3,W0)
=> sdtlseqdt0(W3,W2) )
& aUpperBoundOfIn0(W2,W0,xU)
& ! [W3] :
( ( ( aElementOf0(W3,xU)
& ! [W4] :
( aElementOf0(W4,W0)
=> sdtlseqdt0(W4,W3) ) )
| aUpperBoundOfIn0(W3,W0,xU) )
=> sdtlseqdt0(W2,W3) )
& aSupremumOfIn0(W2,W0,xU) ) ) )
& aCompleteLattice0(xU)
& aFunction0(xf)
& ! [W0,W1] :
( ( aElementOf0(W0,szDzozmdt0(xf))
& aElementOf0(W1,szDzozmdt0(xf)) )
=> ( sdtlseqdt0(W0,W1)
=> sdtlseqdt0(sdtlpdtrp0(xf,W0),sdtlpdtrp0(xf,W1)) ) )
& isMonotone0(xf)
& szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& isOn0(xf,xU) ) ).
fof(m__1244,hypothesis,
( aSet0(xP)
& ! [W0] :
( ( aElementOf0(W0,xP)
=> ( aElementOf0(W0,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,W0),W0)
& ! [W1] :
( aElementOf0(W1,xT)
=> sdtlseqdt0(W1,W0) )
& aUpperBoundOfIn0(W0,xT,xU) ) )
& ( ( aElementOf0(W0,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,W0),W0)
& ( ! [W1] :
( aElementOf0(W1,xT)
=> sdtlseqdt0(W1,W0) )
| aUpperBoundOfIn0(W0,xT,xU) ) )
=> aElementOf0(W0,xP) ) )
& xP = cS1241(xU,xf,xT) ) ).
fof(m__,conjecture,
? [W0] :
( ( aElementOf0(W0,xU)
& ( ( aElementOf0(W0,xU)
& ! [W1] :
( aElementOf0(W1,xP)
=> sdtlseqdt0(W0,W1) ) )
| aLowerBoundOfIn0(W0,xP,xU) )
& ! [W1] :
( ( aElementOf0(W1,xU)
& ! [W2] :
( aElementOf0(W2,xP)
=> sdtlseqdt0(W1,W2) )
& aLowerBoundOfIn0(W1,xP,xU) )
=> sdtlseqdt0(W1,W0) ) )
| aInfimumOfIn0(W0,xP,xU) ) ).
fof(definition_0,definition,
! [W0] :
( definitionFOFtoCNF_0(W0)
<=> ( ~ aSubsetOf0(W0,xU)
& ( ~ aSet0(W0)
| ? [W1] :
( ~ aElementOf0(W1,xU)
& aElementOf0(W1,W0) ) ) ) ) ).
fof(subgoal_0,plain,
? [W0] :
( ( aElementOf0(W0,xU)
& ( ( aElementOf0(W0,xU)
& ! [W1] :
( aElementOf0(W1,xP)
=> sdtlseqdt0(W0,W1) ) )
| aLowerBoundOfIn0(W0,xP,xU) )
& ! [W1] :
( ( aElementOf0(W1,xU)
& ! [W2] :
( aElementOf0(W2,xP)
=> sdtlseqdt0(W1,W2) )
& aLowerBoundOfIn0(W1,xP,xU) )
=> sdtlseqdt0(W1,W0) ) )
| aInfimumOfIn0(W0,xP,xU) ),
inference(strip,[],[m__]) ).
fof(negate_0_0,plain,
~ ? [W0] :
( ( aElementOf0(W0,xU)
& ( ( aElementOf0(W0,xU)
& ! [W1] :
( aElementOf0(W1,xP)
=> sdtlseqdt0(W0,W1) ) )
| aLowerBoundOfIn0(W0,xP,xU) )
& ! [W1] :
( ( aElementOf0(W1,xU)
& ! [W2] :
( aElementOf0(W2,xP)
=> sdtlseqdt0(W1,W2) )
& aLowerBoundOfIn0(W1,xP,xU) )
=> sdtlseqdt0(W1,W0) ) )
| aInfimumOfIn0(W0,xP,xU) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [W0] :
( ~ definitionFOFtoCNF_0(W0)
<=> ( aSubsetOf0(W0,xU)
| ( aSet0(W0)
& ! [W1] :
( ~ aElementOf0(W1,W0)
| aElementOf0(W1,xU) ) ) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_0_1,plain,
! [W0,W1] :
( ( ~ aSubsetOf0(W0,xU)
| ~ definitionFOFtoCNF_0(W0) )
& ( ~ aElementOf0(skolemFOFtoCNF_W1_3(W0),xU)
| ~ aSet0(W0)
| ~ definitionFOFtoCNF_0(W0) )
& ( ~ aSet0(W0)
| ~ definitionFOFtoCNF_0(W0)
| aElementOf0(skolemFOFtoCNF_W1_3(W0),W0) )
& ( aSet0(W0)
| aSubsetOf0(W0,xU)
| definitionFOFtoCNF_0(W0) )
& ( ~ aElementOf0(W1,W0)
| aElementOf0(W1,xU)
| aSubsetOf0(W0,xU)
| definitionFOFtoCNF_0(W0) ) ),
inference(clausify,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [W0] :
( ~ aElementOf0(skolemFOFtoCNF_W1_3(W0),xU)
| ~ aSet0(W0)
| ~ definitionFOFtoCNF_0(W0) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
( xP = cS1241(xU,xf,xT)
& aSet0(xP)
& ! [W0] :
( ~ aElementOf0(W0,xP)
| ( aElementOf0(W0,xU)
& aUpperBoundOfIn0(W0,xT,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,W0),W0)
& ! [W1] :
( ~ aElementOf0(W1,xT)
| sdtlseqdt0(W1,W0) ) ) )
& ! [W0] :
( ~ aElementOf0(W0,xU)
| ~ sdtlseqdt0(sdtlpdtrp0(xf,W0),W0)
| aElementOf0(W0,xP)
| ( ~ aUpperBoundOfIn0(W0,xT,xU)
& ? [W1] :
( ~ sdtlseqdt0(W1,W0)
& aElementOf0(W1,xT) ) ) ) ),
inference(canonicalize,[],[m__1244]) ).
fof(normalize_0_4,plain,
! [W0] :
( ~ aElementOf0(W0,xP)
| ( aElementOf0(W0,xU)
& aUpperBoundOfIn0(W0,xT,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,W0),W0)
& ! [W1] :
( ~ aElementOf0(W1,xT)
| sdtlseqdt0(W1,W0) ) ) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [W0] :
( ~ aElementOf0(W0,xP)
| ( aElementOf0(W0,xU)
& aUpperBoundOfIn0(W0,xT,xU)
& sdtlseqdt0(sdtlpdtrp0(xf,W0),W0)
& ! [W1] :
( ~ aElementOf0(W1,xT)
| sdtlseqdt0(W1,W0) ) ) ),
inference(specialize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [W0,W1] :
( ( ~ aElementOf0(W0,xP)
| aElementOf0(W0,xU) )
& ( ~ aElementOf0(W0,xP)
| aUpperBoundOfIn0(W0,xT,xU) )
& ( ~ aElementOf0(W0,xP)
| sdtlseqdt0(sdtlpdtrp0(xf,W0),W0) )
& ( ~ aElementOf0(W0,xP)
| ~ aElementOf0(W1,xT)
| sdtlseqdt0(W1,W0) ) ),
inference(clausify,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [W0] :
( ~ aElementOf0(W0,xP)
| aElementOf0(W0,xU) ),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
( ! [W0] : ~ aInfimumOfIn0(W0,xP,xU)
& ! [W0] :
( ~ aElementOf0(W0,xU)
| ( ~ aLowerBoundOfIn0(W0,xP,xU)
& ( ~ aElementOf0(W0,xU)
| ? [W1] :
( ~ sdtlseqdt0(W0,W1)
& aElementOf0(W1,xP) ) ) )
| ? [W1] :
( ~ sdtlseqdt0(W1,W0)
& aElementOf0(W1,xU)
& aLowerBoundOfIn0(W1,xP,xU)
& ! [W2] :
( ~ aElementOf0(W2,xP)
| sdtlseqdt0(W1,W2) ) ) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_9,plain,
! [W0] : ~ aInfimumOfIn0(W0,xP,xU),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [W0] : ~ aInfimumOfIn0(W0,xP,xU),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
( szDzozmdt0(xf) = szRzazndt0(xf)
& szRzazndt0(xf) = xU
& aCompleteLattice0(xU)
& aFunction0(xf)
& aSet0(xU)
& isMonotone0(xf)
& isOn0(xf,xU)
& ! [W0] :
( ( ~ aSubsetOf0(W0,xU)
& ( ~ aSet0(W0)
| ? [W1] :
( ~ aElementOf0(W1,xU)
& aElementOf0(W1,W0) ) ) )
| ? [W1] :
( aElementOf0(W1,xU)
& aInfimumOfIn0(W1,W0,xU)
& aLowerBoundOfIn0(W1,W0,xU)
& ? [W2] :
( aElementOf0(W2,xU)
& aSupremumOfIn0(W2,W0,xU)
& aUpperBoundOfIn0(W2,W0,xU)
& ! [W3] :
( ~ aElementOf0(W3,W0)
| sdtlseqdt0(W3,W2) )
& ! [W3] :
( sdtlseqdt0(W2,W3)
| ( ~ aUpperBoundOfIn0(W3,W0,xU)
& ( ~ aElementOf0(W3,xU)
| ? [W4] :
( ~ sdtlseqdt0(W4,W3)
& aElementOf0(W4,W0) ) ) ) ) )
& ! [W2] :
( ~ aElementOf0(W2,W0)
| sdtlseqdt0(W1,W2) )
& ! [W2] :
( sdtlseqdt0(W2,W1)
| ( ~ aLowerBoundOfIn0(W2,W0,xU)
& ( ~ aElementOf0(W2,xU)
| ? [W3] :
( ~ sdtlseqdt0(W2,W3)
& aElementOf0(W3,W0) ) ) ) ) ) )
& ! [W0,W1] :
( ~ aElementOf0(W0,szDzozmdt0(xf))
| ~ aElementOf0(W1,szDzozmdt0(xf))
| ~ sdtlseqdt0(W0,W1)
| sdtlseqdt0(sdtlpdtrp0(xf,W0),sdtlpdtrp0(xf,W1)) ) ),
inference(canonicalize,[],[m__1123]) ).
fof(normalize_0_12,plain,
! [W0] :
( ( ~ aSubsetOf0(W0,xU)
& ( ~ aSet0(W0)
| ? [W1] :
( ~ aElementOf0(W1,xU)
& aElementOf0(W1,W0) ) ) )
| ? [W1] :
( aElementOf0(W1,xU)
& aInfimumOfIn0(W1,W0,xU)
& aLowerBoundOfIn0(W1,W0,xU)
& ? [W2] :
( aElementOf0(W2,xU)
& aSupremumOfIn0(W2,W0,xU)
& aUpperBoundOfIn0(W2,W0,xU)
& ! [W3] :
( ~ aElementOf0(W3,W0)
| sdtlseqdt0(W3,W2) )
& ! [W3] :
( sdtlseqdt0(W2,W3)
| ( ~ aUpperBoundOfIn0(W3,W0,xU)
& ( ~ aElementOf0(W3,xU)
| ? [W4] :
( ~ sdtlseqdt0(W4,W3)
& aElementOf0(W4,W0) ) ) ) ) )
& ! [W2] :
( ~ aElementOf0(W2,W0)
| sdtlseqdt0(W1,W2) )
& ! [W2] :
( sdtlseqdt0(W2,W1)
| ( ~ aLowerBoundOfIn0(W2,W0,xU)
& ( ~ aElementOf0(W2,xU)
| ? [W3] :
( ~ sdtlseqdt0(W2,W3)
& aElementOf0(W3,W0) ) ) ) ) ) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [W0] :
( ( ~ aSubsetOf0(W0,xU)
& ( ~ aSet0(W0)
| ? [W1] :
( ~ aElementOf0(W1,xU)
& aElementOf0(W1,W0) ) ) )
| ? [W1] :
( aElementOf0(W1,xU)
& aInfimumOfIn0(W1,W0,xU)
& aLowerBoundOfIn0(W1,W0,xU)
& ? [W2] :
( aElementOf0(W2,xU)
& aSupremumOfIn0(W2,W0,xU)
& aUpperBoundOfIn0(W2,W0,xU)
& ! [W3] :
( ~ aElementOf0(W3,W0)
| sdtlseqdt0(W3,W2) )
& ! [W3] :
( sdtlseqdt0(W2,W3)
| ( ~ aUpperBoundOfIn0(W3,W0,xU)
& ( ~ aElementOf0(W3,xU)
| ? [W4] :
( ~ sdtlseqdt0(W4,W3)
& aElementOf0(W4,W0) ) ) ) ) )
& ! [W2] :
( ~ aElementOf0(W2,W0)
| sdtlseqdt0(W1,W2) )
& ! [W2] :
( sdtlseqdt0(W2,W1)
| ( ~ aLowerBoundOfIn0(W2,W0,xU)
& ( ~ aElementOf0(W2,xU)
| ? [W3] :
( ~ sdtlseqdt0(W2,W3)
& aElementOf0(W3,W0) ) ) ) ) ) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [W0] :
( definitionFOFtoCNF_0(W0)
| ? [W1] :
( aElementOf0(W1,xU)
& aInfimumOfIn0(W1,W0,xU)
& aLowerBoundOfIn0(W1,W0,xU)
& ? [W2] :
( aElementOf0(W2,xU)
& aSupremumOfIn0(W2,W0,xU)
& aUpperBoundOfIn0(W2,W0,xU)
& ! [W3] :
( ~ aElementOf0(W3,W0)
| sdtlseqdt0(W3,W2) )
& ! [W3] :
( sdtlseqdt0(W2,W3)
| ( ~ aUpperBoundOfIn0(W3,W0,xU)
& ( ~ aElementOf0(W3,xU)
| ? [W4] :
( ~ sdtlseqdt0(W4,W3)
& aElementOf0(W4,W0) ) ) ) ) )
& ! [W2] :
( ~ aElementOf0(W2,W0)
| sdtlseqdt0(W1,W2) )
& ! [W2] :
( sdtlseqdt0(W2,W1)
| ( ~ aLowerBoundOfIn0(W2,W0,xU)
& ( ~ aElementOf0(W2,xU)
| ? [W3] :
( ~ sdtlseqdt0(W2,W3)
& aElementOf0(W3,W0) ) ) ) ) ) ),
inference(simplify,[],[normalize_0_13,normalize_0_0]) ).
fof(normalize_0_15,plain,
! [W0,W2,W3] :
( ( aElementOf0(skolemFOFtoCNF_W1_4(W0),xU)
| definitionFOFtoCNF_0(W0) )
& ( aElementOf0(skolemFOFtoCNF_W2_3(W0),xU)
| definitionFOFtoCNF_0(W0) )
& ( aInfimumOfIn0(skolemFOFtoCNF_W1_4(W0),W0,xU)
| definitionFOFtoCNF_0(W0) )
& ( aLowerBoundOfIn0(skolemFOFtoCNF_W1_4(W0),W0,xU)
| definitionFOFtoCNF_0(W0) )
& ( aSupremumOfIn0(skolemFOFtoCNF_W2_3(W0),W0,xU)
| definitionFOFtoCNF_0(W0) )
& ( aUpperBoundOfIn0(skolemFOFtoCNF_W2_3(W0),W0,xU)
| definitionFOFtoCNF_0(W0) )
& ( ~ aElementOf0(W2,W0)
| definitionFOFtoCNF_0(W0)
| sdtlseqdt0(skolemFOFtoCNF_W1_4(W0),W2) )
& ( ~ aElementOf0(W3,W0)
| definitionFOFtoCNF_0(W0)
| sdtlseqdt0(W3,skolemFOFtoCNF_W2_3(W0)) )
& ( ~ aLowerBoundOfIn0(W2,W0,xU)
| definitionFOFtoCNF_0(W0)
| sdtlseqdt0(W2,skolemFOFtoCNF_W1_4(W0)) )
& ( ~ aUpperBoundOfIn0(W3,W0,xU)
| definitionFOFtoCNF_0(W0)
| sdtlseqdt0(skolemFOFtoCNF_W2_3(W0),W3) )
& ( ~ aElementOf0(W2,xU)
| ~ sdtlseqdt0(W2,skolemFOFtoCNF_W3_5(W0,W2))
| definitionFOFtoCNF_0(W0)
| sdtlseqdt0(W2,skolemFOFtoCNF_W1_4(W0)) )
& ( ~ aElementOf0(W2,xU)
| aElementOf0(skolemFOFtoCNF_W3_5(W0,W2),W0)
| definitionFOFtoCNF_0(W0)
| sdtlseqdt0(W2,skolemFOFtoCNF_W1_4(W0)) )
& ( ~ aElementOf0(W3,xU)
| ~ sdtlseqdt0(skolemFOFtoCNF_W4(W0,W3),W3)
| definitionFOFtoCNF_0(W0)
| sdtlseqdt0(skolemFOFtoCNF_W2_3(W0),W3) )
& ( ~ aElementOf0(W3,xU)
| aElementOf0(skolemFOFtoCNF_W4(W0,W3),W0)
| definitionFOFtoCNF_0(W0)
| sdtlseqdt0(skolemFOFtoCNF_W2_3(W0),W3) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [W0] :
( aInfimumOfIn0(skolemFOFtoCNF_W1_4(W0),W0,xU)
| definitionFOFtoCNF_0(W0) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [W0] :
( ~ aSet0(W0)
| ~ definitionFOFtoCNF_0(W0)
| aElementOf0(skolemFOFtoCNF_W1_3(W0),W0) ),
inference(conjunct,[],[normalize_0_1]) ).
fof(normalize_0_18,plain,
aSet0(xP),
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
( ~ aElementOf0(skolemFOFtoCNF_W1_3(W0),xU)
| ~ aSet0(W0)
| ~ definitionFOFtoCNF_0(W0) ),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_1,plain,
( ~ aElementOf0(skolemFOFtoCNF_W1_3(xP),xU)
| ~ aSet0(xP)
| ~ definitionFOFtoCNF_0(xP) ),
inference(subst,[],[refute_0_0:[bind(W0,$fot(xP))]]) ).
cnf(refute_0_2,plain,
( ~ aElementOf0(W0,xP)
| aElementOf0(W0,xU) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ aElementOf0(skolemFOFtoCNF_W1_3(xP),xP)
| aElementOf0(skolemFOFtoCNF_W1_3(xP),xU) ),
inference(subst,[],[refute_0_2:[bind(W0,$fot(skolemFOFtoCNF_W1_3(xP)))]]) ).
cnf(refute_0_4,plain,
~ aInfimumOfIn0(W0,xP,xU),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_5,plain,
~ aInfimumOfIn0(skolemFOFtoCNF_W1_4(xP),xP,xU),
inference(subst,[],[refute_0_4:[bind(W0,$fot(skolemFOFtoCNF_W1_4(xP)))]]) ).
cnf(refute_0_6,plain,
( aInfimumOfIn0(skolemFOFtoCNF_W1_4(W0),W0,xU)
| definitionFOFtoCNF_0(W0) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_7,plain,
( aInfimumOfIn0(skolemFOFtoCNF_W1_4(xP),xP,xU)
| definitionFOFtoCNF_0(xP) ),
inference(subst,[],[refute_0_6:[bind(W0,$fot(xP))]]) ).
cnf(refute_0_8,plain,
definitionFOFtoCNF_0(xP),
inference(resolve,[$cnf( aInfimumOfIn0(skolemFOFtoCNF_W1_4(xP),xP,xU) )],[refute_0_7,refute_0_5]) ).
cnf(refute_0_9,plain,
( ~ aSet0(W0)
| ~ definitionFOFtoCNF_0(W0)
| aElementOf0(skolemFOFtoCNF_W1_3(W0),W0) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_10,plain,
( ~ aSet0(xP)
| ~ definitionFOFtoCNF_0(xP)
| aElementOf0(skolemFOFtoCNF_W1_3(xP),xP) ),
inference(subst,[],[refute_0_9:[bind(W0,$fot(xP))]]) ).
cnf(refute_0_11,plain,
( ~ aSet0(xP)
| aElementOf0(skolemFOFtoCNF_W1_3(xP),xP) ),
inference(resolve,[$cnf( definitionFOFtoCNF_0(xP) )],[refute_0_8,refute_0_10]) ).
cnf(refute_0_12,plain,
aSet0(xP),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_13,plain,
aElementOf0(skolemFOFtoCNF_W1_3(xP),xP),
inference(resolve,[$cnf( aSet0(xP) )],[refute_0_12,refute_0_11]) ).
cnf(refute_0_14,plain,
aElementOf0(skolemFOFtoCNF_W1_3(xP),xU),
inference(resolve,[$cnf( aElementOf0(skolemFOFtoCNF_W1_3(xP),xP) )],[refute_0_13,refute_0_3]) ).
cnf(refute_0_15,plain,
( ~ aSet0(xP)
| ~ definitionFOFtoCNF_0(xP) ),
inference(resolve,[$cnf( aElementOf0(skolemFOFtoCNF_W1_3(xP),xU) )],[refute_0_14,refute_0_1]) ).
cnf(refute_0_16,plain,
~ definitionFOFtoCNF_0(xP),
inference(resolve,[$cnf( aSet0(xP) )],[refute_0_12,refute_0_15]) ).
cnf(refute_0_17,plain,
$false,
inference(resolve,[$cnf( definitionFOFtoCNF_0(xP) )],[refute_0_8,refute_0_16]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : LAT385+4 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n008.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.19/0.33 % CPULimit : 300
% 0.19/0.33 % WCLimit : 600
% 0.19/0.33 % DateTime : Wed Jun 29 17:38:08 EDT 2022
% 0.19/0.33 % CPUTime :
% 0.19/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.40 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.40
% 0.19/0.40 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.41
%------------------------------------------------------------------------------