TSTP Solution File: KRS089+1 by Metis---2.4
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%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS089+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n029.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 03:18:40 EDT 2022
% Result : Unsatisfiable 3.24s 3.48s
% Output : CNFRefutation 3.24s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 22
% Syntax : Number of formulae : 121 ( 32 unt; 0 def)
% Number of atoms : 300 ( 198 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 309 ( 130 ~; 143 |; 30 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 12 ( 3 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 2 con; 0-1 aty)
% Number of variables : 150 ( 17 sgn 38 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ) ).
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
=> ? [Y1,Y2,Y3] :
( rr(X,Y1)
& rr(X,Y2)
& rr(X,Y3)
& Y1 != Y2
& Y1 != Y3
& Y2 != Y3 ) ) ).
fof(axiom_3,axiom,
! [X] :
( cowlThing(X)
=> ? [Y] :
( rp(X,Y)
& Y = ispy ) ) ).
fof(axiom_4,axiom,
! [X,Y] :
( rp(X,Y)
<=> rinvP(Y,X) ) ).
fof(axiom_5,axiom,
! [X0,X1,X2] :
( ( rinvP(ispy,X0)
& rinvP(ispy,X1)
& rinvP(ispy,X2) )
=> ( X0 = X1
| X0 = X2
| X1 = X2 ) ) ).
fof(axiom_7,axiom,
cUnsatisfiable(i2003_11_14_17_19_53168) ).
fof(normalize_0_0,plain,
cUnsatisfiable(i2003_11_14_17_19_53168),
inference(canonicalize,[],[axiom_7]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ? [Y1,Y2,Y3] :
( Y1 != Y2
& Y1 != Y3
& Y2 != Y3
& rr(X,Y1)
& rr(X,Y2)
& rr(X,Y3) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ? [Y1,Y2,Y3] :
( Y1 != Y2
& Y1 != Y3
& Y2 != Y3
& rr(X,Y1)
& rr(X,Y2)
& rr(X,Y3) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ( skolemFOFtoCNF_Y0(X) != skolemFOFtoCNF_Y1(X)
| ~ cUnsatisfiable(X) )
& ( skolemFOFtoCNF_Y0(X) != skolemFOFtoCNF_Y2(X)
| ~ cUnsatisfiable(X) )
& ( skolemFOFtoCNF_Y1(X) != skolemFOFtoCNF_Y2(X)
| ~ cUnsatisfiable(X) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y0(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y1(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y2(X)) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( skolemFOFtoCNF_Y0(X) != skolemFOFtoCNF_Y1(X)
| ~ cUnsatisfiable(X) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( skolemFOFtoCNF_Y0(X) != skolemFOFtoCNF_Y2(X)
| ~ cUnsatisfiable(X) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_6,plain,
! [X0,X1,X2] :
( ~ rinvP(ispy,X0)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X2)
| X0 = X1
| X0 = X2
| X1 = X2 ),
inference(canonicalize,[],[axiom_5]) ).
fof(normalize_0_7,plain,
! [X0,X1,X2] :
( ~ rinvP(ispy,X0)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X2)
| X0 = X1
| X0 = X2
| X1 = X2 ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ cowlThing(X)
| ? [Y] :
( Y = ispy
& rp(X,Y) ) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_9,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_0_10,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X] :
? [Y] :
( Y = ispy
& rp(X,Y) ),
inference(simplify,[],[normalize_0_8,normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X] :
? [Y] :
( Y = ispy
& rp(X,Y) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X] :
( skolemFOFtoCNF_Y(X) = ispy
& rp(X,skolemFOFtoCNF_Y(X)) ),
inference(skolemize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X] : rp(X,skolemFOFtoCNF_Y(X)),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X] : skolemFOFtoCNF_Y(X) = ispy,
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_17,plain,
! [X,Y] :
( ~ rinvP(Y,X)
<=> ~ rp(X,Y) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( ~ rinvP(Y,X)
<=> ~ rp(X,Y) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X,Y] :
( ( ~ rinvP(Y,X)
| rp(X,Y) )
& ( ~ rp(X,Y)
| rinvP(Y,X) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X,Y] :
( ~ rp(X,Y)
| rinvP(Y,X) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X] :
( skolemFOFtoCNF_Y1(X) != skolemFOFtoCNF_Y2(X)
| ~ cUnsatisfiable(X) ),
inference(conjunct,[],[normalize_0_3]) ).
cnf(refute_0_0,plain,
cUnsatisfiable(i2003_11_14_17_19_53168),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( skolemFOFtoCNF_Y0(X) != skolemFOFtoCNF_Y1(X)
| ~ cUnsatisfiable(X) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( skolemFOFtoCNF_Y0(X) != skolemFOFtoCNF_Y2(X)
| ~ cUnsatisfiable(X) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_3,plain,
( ~ rinvP(ispy,X0)
| ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X2)
| X0 = X1
| X0 = X2
| X1 = X2 ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_4,plain,
rp(X,skolemFOFtoCNF_Y(X)),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_5,plain,
skolemFOFtoCNF_Y(X) = ispy,
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_6,plain,
( skolemFOFtoCNF_Y(X) != ispy
| ~ rp(X,skolemFOFtoCNF_Y(X))
| rp(X,ispy) ),
introduced(tautology,[equality,[$cnf( rp(X,skolemFOFtoCNF_Y(X)) ),[1],$fot(ispy)]]) ).
cnf(refute_0_7,plain,
( ~ rp(X,skolemFOFtoCNF_Y(X))
| rp(X,ispy) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y(X),ispy) )],[refute_0_5,refute_0_6]) ).
cnf(refute_0_8,plain,
rp(X,ispy),
inference(resolve,[$cnf( rp(X,skolemFOFtoCNF_Y(X)) )],[refute_0_4,refute_0_7]) ).
cnf(refute_0_9,plain,
rp(X_14,ispy),
inference(subst,[],[refute_0_8:[bind(X,$fot(X_14))]]) ).
cnf(refute_0_10,plain,
( ~ rp(X,Y)
| rinvP(Y,X) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_11,plain,
( ~ rp(X_14,ispy)
| rinvP(ispy,X_14) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(X_14)),bind(Y,$fot(ispy))]]) ).
cnf(refute_0_12,plain,
rinvP(ispy,X_14),
inference(resolve,[$cnf( rp(X_14,ispy) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
rinvP(ispy,X0),
inference(subst,[],[refute_0_12:[bind(X_14,$fot(X0))]]) ).
cnf(refute_0_14,plain,
( ~ rinvP(ispy,X1)
| ~ rinvP(ispy,X2)
| X0 = X1
| X0 = X2
| X1 = X2 ),
inference(resolve,[$cnf( rinvP(ispy,X0) )],[refute_0_13,refute_0_3]) ).
cnf(refute_0_15,plain,
rinvP(ispy,X1),
inference(subst,[],[refute_0_12:[bind(X_14,$fot(X1))]]) ).
cnf(refute_0_16,plain,
( ~ rinvP(ispy,X2)
| X0 = X1
| X0 = X2
| X1 = X2 ),
inference(resolve,[$cnf( rinvP(ispy,X1) )],[refute_0_15,refute_0_14]) ).
cnf(refute_0_17,plain,
rinvP(ispy,X2),
inference(subst,[],[refute_0_12:[bind(X_14,$fot(X2))]]) ).
cnf(refute_0_18,plain,
( X0 = X1
| X0 = X2
| X1 = X2 ),
inference(resolve,[$cnf( rinvP(ispy,X2) )],[refute_0_17,refute_0_16]) ).
cnf(refute_0_19,plain,
( X_18 = X_19
| skolemFOFtoCNF_Y0(X) = X_18
| skolemFOFtoCNF_Y0(X) = X_19 ),
inference(subst,[],[refute_0_18:[bind(X0,$fot(skolemFOFtoCNF_Y0(X))),bind(X1,$fot(X_18)),bind(X2,$fot(X_19))]]) ).
cnf(refute_0_20,plain,
( X_18 != skolemFOFtoCNF_Y2(X)
| skolemFOFtoCNF_Y0(X) != X_18
| skolemFOFtoCNF_Y0(X) = skolemFOFtoCNF_Y2(X) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_Y0(X),X_18) ),[1],$fot(skolemFOFtoCNF_Y2(X))]]) ).
cnf(refute_0_21,plain,
( X_18 != skolemFOFtoCNF_Y2(X)
| X_18 = X_19
| skolemFOFtoCNF_Y0(X) = X_19
| skolemFOFtoCNF_Y0(X) = skolemFOFtoCNF_Y2(X) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y0(X),X_18) )],[refute_0_19,refute_0_20]) ).
cnf(refute_0_22,plain,
( X_18 != skolemFOFtoCNF_Y2(X)
| ~ cUnsatisfiable(X)
| X_18 = X_19
| skolemFOFtoCNF_Y0(X) = X_19 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y0(X),skolemFOFtoCNF_Y2(X)) )],[refute_0_21,refute_0_2]) ).
cnf(refute_0_23,plain,
( skolemFOFtoCNF_Y2(X) != skolemFOFtoCNF_Y2(X)
| ~ cUnsatisfiable(X)
| skolemFOFtoCNF_Y0(X) = X_19
| skolemFOFtoCNF_Y2(X) = X_19 ),
inference(subst,[],[refute_0_22:[bind(X_18,$fot(skolemFOFtoCNF_Y2(X)))]]) ).
cnf(refute_0_24,plain,
skolemFOFtoCNF_Y2(X) = skolemFOFtoCNF_Y2(X),
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_Y2(X))]]) ).
cnf(refute_0_25,plain,
( ~ cUnsatisfiable(X)
| skolemFOFtoCNF_Y0(X) = X_19
| skolemFOFtoCNF_Y2(X) = X_19 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y2(X),skolemFOFtoCNF_Y2(X)) )],[refute_0_24,refute_0_23]) ).
cnf(refute_0_26,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = X_64
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = X_64 ),
inference(subst,[],[refute_0_25:[bind(X,$fot(i2003_11_14_17_19_53168)),bind(X_19,$fot(X_64))]]) ).
cnf(refute_0_27,plain,
( skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = X_64
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = X_64 ),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_53168) )],[refute_0_0,refute_0_26]) ).
cnf(refute_0_28,plain,
( skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = X_65
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = X_65 ),
inference(subst,[],[refute_0_27:[bind(X_64,$fot(X_65))]]) ).
cnf(refute_0_29,plain,
( X0 = X1
| X0 = i2003_11_14_17_19_53168
| X1 = i2003_11_14_17_19_53168 ),
inference(subst,[],[refute_0_18:[bind(X2,$fot(i2003_11_14_17_19_53168))]]) ).
cnf(refute_0_30,plain,
X3 = X3,
introduced(tautology,[refl,[$fot(X3)]]) ).
cnf(refute_0_31,plain,
( X3 != X3
| X3 != Y0
| Y0 = X3 ),
introduced(tautology,[equality,[$cnf( $equal(X3,X3) ),[0],$fot(Y0)]]) ).
cnf(refute_0_32,plain,
( X3 != Y0
| Y0 = X3 ),
inference(resolve,[$cnf( $equal(X3,X3) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( X1 != i2003_11_14_17_19_53168
| i2003_11_14_17_19_53168 = X1 ),
inference(subst,[],[refute_0_32:[bind(X3,$fot(X1)),bind(Y0,$fot(i2003_11_14_17_19_53168))]]) ).
cnf(refute_0_34,plain,
( X0 = X1
| X0 = i2003_11_14_17_19_53168
| i2003_11_14_17_19_53168 = X1 ),
inference(resolve,[$cnf( $equal(X1,i2003_11_14_17_19_53168) )],[refute_0_29,refute_0_33]) ).
cnf(refute_0_35,plain,
( i2003_11_14_17_19_53168 != X1
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) != X_65
| skolemFOFtoCNF_Y2(X1) = X_65 ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168),X_65) ),[0,0],$fot(X1)]]) ).
cnf(refute_0_36,plain,
( skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) != X_65
| X0 = X1
| X0 = i2003_11_14_17_19_53168
| skolemFOFtoCNF_Y2(X1) = X_65 ),
inference(resolve,[$cnf( $equal(i2003_11_14_17_19_53168,X1) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
( X0 = X1
| X0 = i2003_11_14_17_19_53168
| skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = X_65
| skolemFOFtoCNF_Y2(X1) = X_65 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168),X_65) )],[refute_0_28,refute_0_36]) ).
cnf(refute_0_38,plain,
( X0 = i2003_11_14_17_19_53168
| skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = X_65
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = X_65 ),
inference(subst,[],[refute_0_37:[bind(X1,$fot(i2003_11_14_17_19_53168))]]) ).
cnf(refute_0_39,plain,
( skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = i2003_11_14_17_19_53168
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = i2003_11_14_17_19_53168 ),
inference(subst,[],[refute_0_37:[bind(X0,$fot(skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168))),bind(X1,$fot(i2003_11_14_17_19_53168)),bind(X_65,$fot(i2003_11_14_17_19_53168))]]) ).
cnf(refute_0_40,plain,
( skolemFOFtoCNF_Y1(X) != skolemFOFtoCNF_Y2(X)
| ~ cUnsatisfiable(X) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_41,plain,
( skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) != skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168)
| ~ cUnsatisfiable(i2003_11_14_17_19_53168) ),
inference(subst,[],[refute_0_40:[bind(X,$fot(i2003_11_14_17_19_53168))]]) ).
cnf(refute_0_42,plain,
( skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) != X_65
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) != X_65
| skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) ),
introduced(tautology,[equality,[$cnf( ~ $equal(skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168),skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168)) ),[1],$fot(X_65)]]) ).
cnf(refute_0_43,plain,
( skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) != X_65
| skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = X_65
| skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168),X_65) )],[refute_0_28,refute_0_42]) ).
cnf(refute_0_44,plain,
( skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) != X_65
| ~ cUnsatisfiable(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = X_65 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168),skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168)) )],[refute_0_43,refute_0_41]) ).
cnf(refute_0_45,plain,
( skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) != skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)
| ~ cUnsatisfiable(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) ),
inference(subst,[],[refute_0_44:[bind(X_65,$fot(skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)))]]) ).
cnf(refute_0_46,plain,
skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168),
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168))]]) ).
cnf(refute_0_47,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168),skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)) )],[refute_0_46,refute_0_45]) ).
cnf(refute_0_48,plain,
skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_53168) )],[refute_0_0,refute_0_47]) ).
cnf(refute_0_49,plain,
( skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) != skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) ),
inference(subst,[],[refute_0_32:[bind(X3,$fot(skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168))),bind(Y0,$fot(skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)))]]) ).
cnf(refute_0_50,plain,
skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168),skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)) )],[refute_0_48,refute_0_49]) ).
cnf(refute_0_51,plain,
( skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) != skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)
| ~ cUnsatisfiable(i2003_11_14_17_19_53168) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(i2003_11_14_17_19_53168))]]) ).
cnf(refute_0_52,plain,
( X_65 != skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) != X_65
| skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168),X_65) ),[1],$fot(skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168))]]) ).
cnf(refute_0_53,plain,
( X_65 != skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = X_65 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168),X_65) )],[refute_0_28,refute_0_52]) ).
cnf(refute_0_54,plain,
( X_65 != skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)
| ~ cUnsatisfiable(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = X_65 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168),skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)) )],[refute_0_53,refute_0_51]) ).
cnf(refute_0_55,plain,
( skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) != skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)
| ~ cUnsatisfiable(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) ),
inference(subst,[],[refute_0_54:[bind(X_65,$fot(skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)))]]) ).
cnf(refute_0_56,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168),skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)) )],[refute_0_46,refute_0_55]) ).
cnf(refute_0_57,plain,
skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_53168) )],[refute_0_0,refute_0_56]) ).
cnf(refute_0_58,plain,
( Y0 != X3
| Y0 != Z
| X3 = Z ),
introduced(tautology,[equality,[$cnf( $equal(Y0,Z) ),[0],$fot(X3)]]) ).
cnf(refute_0_59,plain,
( X3 != Y0
| Y0 != Z
| X3 = Z ),
inference(resolve,[$cnf( $equal(Y0,X3) )],[refute_0_32,refute_0_58]) ).
cnf(refute_0_60,plain,
( skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) != skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) != skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) ),
inference(subst,[],[refute_0_59:[bind(X3,$fot(skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168))),bind(Y0,$fot(skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168))),bind(Z,$fot(skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168)))]]) ).
cnf(refute_0_61,plain,
( skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) != skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168),skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)) )],[refute_0_57,refute_0_60]) ).
cnf(refute_0_62,plain,
skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168),skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168)) )],[refute_0_50,refute_0_61]) ).
cnf(refute_0_63,plain,
( skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) != i2003_11_14_17_19_53168
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) != skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = i2003_11_14_17_19_53168 ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168),i2003_11_14_17_19_53168) ),[0],$fot(skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168))]]) ).
cnf(refute_0_64,plain,
( skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) != i2003_11_14_17_19_53168
| skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = i2003_11_14_17_19_53168 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168),skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168)) )],[refute_0_62,refute_0_63]) ).
cnf(refute_0_65,plain,
skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) = i2003_11_14_17_19_53168,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168),i2003_11_14_17_19_53168) )],[refute_0_39,refute_0_64]) ).
cnf(refute_0_66,plain,
( skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) != X_65
| skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) != i2003_11_14_17_19_53168
| i2003_11_14_17_19_53168 = X_65 ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168),X_65) ),[0],$fot(i2003_11_14_17_19_53168)]]) ).
cnf(refute_0_67,plain,
( skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) != X_65
| i2003_11_14_17_19_53168 = X_65 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168),i2003_11_14_17_19_53168) )],[refute_0_65,refute_0_66]) ).
cnf(refute_0_68,plain,
( X0 = i2003_11_14_17_19_53168
| i2003_11_14_17_19_53168 = X_65
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = X_65 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168),X_65) )],[refute_0_38,refute_0_67]) ).
cnf(refute_0_69,plain,
( skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) != i2003_11_14_17_19_53168
| skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) != skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) = i2003_11_14_17_19_53168 ),
inference(subst,[],[refute_0_59:[bind(X3,$fot(skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168))),bind(Y0,$fot(skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168))),bind(Z,$fot(i2003_11_14_17_19_53168))]]) ).
cnf(refute_0_70,plain,
( skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168) != i2003_11_14_17_19_53168
| skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) = i2003_11_14_17_19_53168 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168),skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168)) )],[refute_0_50,refute_0_69]) ).
cnf(refute_0_71,plain,
skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) = i2003_11_14_17_19_53168,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y0(i2003_11_14_17_19_53168),i2003_11_14_17_19_53168) )],[refute_0_65,refute_0_70]) ).
cnf(refute_0_72,plain,
( skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) != i2003_11_14_17_19_53168
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) != skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = i2003_11_14_17_19_53168 ),
inference(subst,[],[refute_0_59:[bind(X3,$fot(skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168))),bind(Y0,$fot(skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168))),bind(Z,$fot(i2003_11_14_17_19_53168))]]) ).
cnf(refute_0_73,plain,
( skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168) != i2003_11_14_17_19_53168
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = i2003_11_14_17_19_53168 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168),skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168)) )],[refute_0_57,refute_0_72]) ).
cnf(refute_0_74,plain,
skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) = i2003_11_14_17_19_53168,
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y1(i2003_11_14_17_19_53168),i2003_11_14_17_19_53168) )],[refute_0_71,refute_0_73]) ).
cnf(refute_0_75,plain,
( skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) != X_65
| skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) != i2003_11_14_17_19_53168
| i2003_11_14_17_19_53168 = X_65 ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168),X_65) ),[0],$fot(i2003_11_14_17_19_53168)]]) ).
cnf(refute_0_76,plain,
( skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168) != X_65
| i2003_11_14_17_19_53168 = X_65 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168),i2003_11_14_17_19_53168) )],[refute_0_74,refute_0_75]) ).
cnf(refute_0_77,plain,
( X0 = i2003_11_14_17_19_53168
| i2003_11_14_17_19_53168 = X_65 ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y2(i2003_11_14_17_19_53168),X_65) )],[refute_0_68,refute_0_76]) ).
cnf(refute_0_78,plain,
( X_65 = i2003_11_14_17_19_53168
| i2003_11_14_17_19_53168 = X_65 ),
inference(subst,[],[refute_0_77:[bind(X0,$fot(X_65))]]) ).
cnf(refute_0_79,plain,
( i2003_11_14_17_19_53168 != X_65
| X_65 = i2003_11_14_17_19_53168 ),
inference(subst,[],[refute_0_32:[bind(X3,$fot(i2003_11_14_17_19_53168)),bind(Y0,$fot(X_65))]]) ).
cnf(refute_0_80,plain,
X_65 = i2003_11_14_17_19_53168,
inference(resolve,[$cnf( $equal(i2003_11_14_17_19_53168,X_65) )],[refute_0_78,refute_0_79]) ).
cnf(refute_0_81,plain,
skolemFOFtoCNF_Y0(X) = i2003_11_14_17_19_53168,
inference(subst,[],[refute_0_80:[bind(X_65,$fot(skolemFOFtoCNF_Y0(X)))]]) ).
cnf(refute_0_82,plain,
( i2003_11_14_17_19_53168 != skolemFOFtoCNF_Y1(X)
| skolemFOFtoCNF_Y0(X) != i2003_11_14_17_19_53168
| skolemFOFtoCNF_Y0(X) = skolemFOFtoCNF_Y1(X) ),
introduced(tautology,[equality,[$cnf( $equal(skolemFOFtoCNF_Y0(X),i2003_11_14_17_19_53168) ),[1],$fot(skolemFOFtoCNF_Y1(X))]]) ).
cnf(refute_0_83,plain,
( i2003_11_14_17_19_53168 != skolemFOFtoCNF_Y1(X)
| skolemFOFtoCNF_Y0(X) = skolemFOFtoCNF_Y1(X) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y0(X),i2003_11_14_17_19_53168) )],[refute_0_81,refute_0_82]) ).
cnf(refute_0_84,plain,
skolemFOFtoCNF_Y1(X) = i2003_11_14_17_19_53168,
inference(subst,[],[refute_0_80:[bind(X_65,$fot(skolemFOFtoCNF_Y1(X)))]]) ).
cnf(refute_0_85,plain,
( i2003_11_14_17_19_53168 != i2003_11_14_17_19_53168
| skolemFOFtoCNF_Y1(X) != i2003_11_14_17_19_53168
| i2003_11_14_17_19_53168 = skolemFOFtoCNF_Y1(X) ),
introduced(tautology,[equality,[$cnf( ~ $equal(i2003_11_14_17_19_53168,skolemFOFtoCNF_Y1(X)) ),[1],$fot(i2003_11_14_17_19_53168)]]) ).
cnf(refute_0_86,plain,
( i2003_11_14_17_19_53168 != i2003_11_14_17_19_53168
| i2003_11_14_17_19_53168 = skolemFOFtoCNF_Y1(X) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y1(X),i2003_11_14_17_19_53168) )],[refute_0_84,refute_0_85]) ).
cnf(refute_0_87,plain,
( i2003_11_14_17_19_53168 != i2003_11_14_17_19_53168
| skolemFOFtoCNF_Y0(X) = skolemFOFtoCNF_Y1(X) ),
inference(resolve,[$cnf( $equal(i2003_11_14_17_19_53168,skolemFOFtoCNF_Y1(X)) )],[refute_0_86,refute_0_83]) ).
cnf(refute_0_88,plain,
( i2003_11_14_17_19_53168 != i2003_11_14_17_19_53168
| ~ cUnsatisfiable(X) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y0(X),skolemFOFtoCNF_Y1(X)) )],[refute_0_87,refute_0_1]) ).
cnf(refute_0_89,plain,
i2003_11_14_17_19_53168 = i2003_11_14_17_19_53168,
introduced(tautology,[refl,[$fot(i2003_11_14_17_19_53168)]]) ).
cnf(refute_0_90,plain,
~ cUnsatisfiable(X),
inference(resolve,[$cnf( $equal(i2003_11_14_17_19_53168,i2003_11_14_17_19_53168) )],[refute_0_89,refute_0_88]) ).
cnf(refute_0_91,plain,
~ cUnsatisfiable(i2003_11_14_17_19_53168),
inference(subst,[],[refute_0_90:[bind(X,$fot(i2003_11_14_17_19_53168))]]) ).
cnf(refute_0_92,plain,
$false,
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_53168) )],[refute_0_0,refute_0_91]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : KRS089+1 : TPTP v8.1.0. Released v3.1.0.
% 0.08/0.14 % Command : metis --show proof --show saturation %s
% 0.14/0.36 % Computer : n029.cluster.edu
% 0.14/0.36 % Model : x86_64 x86_64
% 0.14/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.36 % Memory : 8042.1875MB
% 0.14/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.36 % CPULimit : 300
% 0.14/0.36 % WCLimit : 600
% 0.14/0.36 % DateTime : Tue Jun 7 20:18:20 EDT 2022
% 0.14/0.36 % CPUTime :
% 0.14/0.36 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 3.24/3.48 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.24/3.48
% 3.24/3.48 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 3.24/3.49
%------------------------------------------------------------------------------