%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS120+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n027.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 03:18:47 EDT 2022
% Result : Unsatisfiable 0.18s 0.37s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 12
% Syntax : Number of formulae : 85 ( 19 unt; 0 def)
% Number of atoms : 197 ( 19 equ)
% Maximal formula atoms : 10 ( 2 avg)
% Number of connectives : 217 ( 105 ~; 75 |; 17 &)
% ( 18 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 5 ( 2 avg)
% Number of predicates : 13 ( 10 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-1 aty)
% Number of variables : 97 ( 1 sgn 69 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ) ).
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ? [Y] :
( rf(X,Y)
& ca_Ax2(Y) ) ) ).
fof(axiom_3,axiom,
! [X] :
( cp1(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ) ).
fof(axiom_4,axiom,
! [X] :
( cp1xcomp(X)
<=> ? [Y0] : ra_Px1(X,Y0) ) ).
fof(axiom_5,axiom,
! [X] :
( ca_Ax2(X)
<=> ( ? [Y] :
( rinvF(X,Y)
& ca_Vx3(Y) )
& cp1(X) ) ) ).
fof(axiom_6,axiom,
! [X] :
( ca_Vx3(X)
<=> ? [Y] :
( rf(X,Y)
& cp1xcomp(Y) ) ) ).
fof(axiom_7,axiom,
! [X] :
( cowlThing(X)
=> ! [Y0,Y1] :
( ( rf(X,Y0)
& rf(X,Y1) )
=> Y0 = Y1 ) ) ).
fof(axiom_8,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ) ).
fof(axiom_11,axiom,
cUnsatisfiable(i2003_11_14_17_21_48796) ).
fof(normalize_0_0,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(canonicalize,[],[axiom_11]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ! [Y] :
( ~ ca_Ax2(Y)
| ~ rf(X,Y) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ! [Y] :
( ~ ca_Ax2(Y)
| ~ rf(X,Y) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ( ~ cUnsatisfiable(X)
| ca_Ax2(skolemFOFtoCNF_Y(X)) )
& ( ~ cUnsatisfiable(X)
| rf(X,skolemFOFtoCNF_Y(X)) )
& ( ~ ca_Ax2(Y)
| ~ rf(X,Y)
| cUnsatisfiable(X) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ca_Ax2(skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ ca_Ax2(X)
<=> ( ~ cp1(X)
| ! [Y] :
( ~ ca_Vx3(Y)
| ~ rinvF(X,Y) ) ) ),
inference(canonicalize,[],[axiom_5]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ ca_Ax2(X)
<=> ( ~ cp1(X)
| ! [Y] :
( ~ ca_Vx3(Y)
| ~ rinvF(X,Y) ) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ( ~ ca_Ax2(X)
| ca_Vx3(skolemFOFtoCNF_Y_2(X)) )
& ( ~ ca_Ax2(X)
| cp1(X) )
& ( ~ ca_Ax2(X)
| rinvF(X,skolemFOFtoCNF_Y_2(X)) )
& ( ~ ca_Vx3(Y)
| ~ cp1(X)
| ~ rinvF(X,Y)
| ca_Ax2(X) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ ca_Ax2(X)
| ca_Vx3(skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ ca_Vx3(X)
<=> ! [Y] :
( ~ cp1xcomp(Y)
| ~ rf(X,Y) ) ),
inference(canonicalize,[],[axiom_6]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ ca_Vx3(X)
<=> ! [Y] :
( ~ cp1xcomp(Y)
| ~ rf(X,Y) ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X,Y] :
( ( ~ ca_Vx3(X)
| cp1xcomp(skolemFOFtoCNF_Y_3(X)) )
& ( ~ ca_Vx3(X)
| rf(X,skolemFOFtoCNF_Y_3(X)) )
& ( ~ cp1xcomp(Y)
| ~ rf(X,Y)
| ca_Vx3(X) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ ca_Vx3(X)
| cp1xcomp(skolemFOFtoCNF_Y_3(X)) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X] :
( ~ cp1xcomp(X)
<=> ! [Y0] : ~ ra_Px1(X,Y0) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ cp1xcomp(X)
<=> ! [Y0] : ~ ra_Px1(X,Y0) ),
inference(specialize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X,Y0] :
( ( ~ cp1xcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) )
& ( ~ ra_Px1(X,Y0)
| cp1xcomp(X) ) ),
inference(clausify,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ cp1xcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
inference(conjunct,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X] :
( ~ cp1(X)
<=> ? [Y] : ra_Px1(X,Y) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_18,plain,
! [X] :
( ~ cp1(X)
<=> ? [Y] : ra_Px1(X,Y) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X,Y] :
( ( ~ cp1(X)
| ~ ra_Px1(X,Y) )
& ( cp1(X)
| ra_Px1(X,skolemFOFtoCNF_Y_1(X)) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X,Y] :
( ~ cp1(X)
| ~ ra_Px1(X,Y) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X] :
( ~ ca_Vx3(X)
| rf(X,skolemFOFtoCNF_Y_3(X)) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_22,plain,
! [X] :
( ~ ca_Ax2(X)
| rinvF(X,skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_23,plain,
! [X,Y] :
( ~ rf(Y,X)
<=> ~ rinvF(X,Y) ),
inference(canonicalize,[],[axiom_8]) ).
fof(normalize_0_24,plain,
! [X,Y] :
( ~ rf(Y,X)
<=> ~ rinvF(X,Y) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( ~ rinvF(X,Y)
| rf(Y,X) ) ),
inference(clausify,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X,Y] :
( ~ rinvF(X,Y)
| rf(Y,X) ),
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X] :
( ~ cowlThing(X)
| ! [Y0,Y1] :
( ~ rf(X,Y0)
| ~ rf(X,Y1)
| Y0 = Y1 ) ),
inference(canonicalize,[],[axiom_7]) ).
fof(normalize_0_28,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_0_29,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [X,Y0,Y1] :
( ~ rf(X,Y0)
| ~ rf(X,Y1)
| Y0 = Y1 ),
inference(simplify,[],[normalize_0_27,normalize_0_30]) ).
fof(normalize_0_32,plain,
! [X,Y0,Y1] :
( ~ rf(X,Y0)
| ~ rf(X,Y1)
| Y0 = Y1 ),
inference(specialize,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [X] :
( ~ ca_Ax2(X)
| cp1(X) ),
inference(conjunct,[],[normalize_0_7]) ).
cnf(refute_0_0,plain,
cUnsatisfiable(i2003_11_14_17_21_48796),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ cUnsatisfiable(X)
| ca_Ax2(skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_48796)
| ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(i2003_11_14_17_21_48796))]]) ).
cnf(refute_0_3,plain,
ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_48796) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ ca_Ax2(X)
| ca_Vx3(skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))
| ca_Vx3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))]]) ).
cnf(refute_0_6,plain,
ca_Vx3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))),
inference(resolve,[$cnf( ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ ca_Vx3(X)
| cp1xcomp(skolemFOFtoCNF_Y_3(X)) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_8,plain,
( ~ ca_Vx3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))
| cp1xcomp(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))))]]) ).
cnf(refute_0_9,plain,
cp1xcomp(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))),
inference(resolve,[$cnf( ca_Vx3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ cp1xcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_11,plain,
( ~ cp1xcomp(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))))
| ra_Px1(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))))) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))))]]) ).
cnf(refute_0_12,plain,
ra_Px1(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))))),
inference(resolve,[$cnf( cp1xcomp(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ cp1(X)
| ~ ra_Px1(X,Y) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_14,plain,
( ~ cp1(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))))
| ~ ra_Px1(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))))) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))))),bind(Y,$fot(skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))))))]]) ).
cnf(refute_0_15,plain,
~ cp1(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))),
inference(resolve,[$cnf( ra_Px1(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))))) )],[refute_0_12,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ ca_Vx3(X)
| rf(X,skolemFOFtoCNF_Y_3(X)) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_17,plain,
( ~ ca_Vx3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))
| rf(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)),skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))))]]) ).
cnf(refute_0_18,plain,
rf(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)),skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))),
inference(resolve,[$cnf( ca_Vx3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))) )],[refute_0_6,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ ca_Ax2(X)
| rinvF(X,skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_20,plain,
( ~ ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))
| rinvF(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))]]) ).
cnf(refute_0_21,plain,
rinvF(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))),
inference(resolve,[$cnf( ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)) )],[refute_0_3,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ rinvF(X,Y)
| rf(Y,X) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_23,plain,
( ~ rinvF(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))
| rf(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)),skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))),bind(Y,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))))]]) ).
cnf(refute_0_24,plain,
rf(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)),skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)),
inference(resolve,[$cnf( rinvF(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))) )],[refute_0_21,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ rf(X,Y0)
| ~ rf(X,Y1)
| Y0 = Y1 ),
inference(canonicalize,[],[normalize_0_32]) ).
cnf(refute_0_26,plain,
( ~ rf(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)),X_35)
| ~ rf(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)),skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))
| skolemFOFtoCNF_Y(i2003_11_14_17_21_48796) = X_35 ),
inference(subst,[],[refute_0_25:[bind(X,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))),bind(Y0,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))),bind(Y1,$fot(X_35))]]) ).
cnf(refute_0_27,plain,
( ~ rf(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)),X_35)
| skolemFOFtoCNF_Y(i2003_11_14_17_21_48796) = X_35 ),
inference(resolve,[$cnf( rf(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)),skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)) )],[refute_0_24,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ rf(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)),skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))))
| skolemFOFtoCNF_Y(i2003_11_14_17_21_48796) = skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))) ),
inference(subst,[],[refute_0_27:[bind(X_35,$fot(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))))]]) ).
cnf(refute_0_29,plain,
skolemFOFtoCNF_Y(i2003_11_14_17_21_48796) = skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))),
inference(resolve,[$cnf( rf(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)),skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))) )],[refute_0_18,refute_0_28]) ).
cnf(refute_0_30,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_31,plain,
( X0 != X0
| X0 != Y2
| Y2 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y2)]]) ).
cnf(refute_0_32,plain,
( X0 != Y2
| Y2 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_30,refute_0_31]) ).
cnf(refute_0_33,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_21_48796) != skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))
| skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))) = skolemFOFtoCNF_Y(i2003_11_14_17_21_48796) ),
inference(subst,[],[refute_0_32:[bind(X0,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))),bind(Y2,$fot(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))))]]) ).
cnf(refute_0_34,plain,
skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))) = skolemFOFtoCNF_Y(i2003_11_14_17_21_48796),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796),skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))) )],[refute_0_29,refute_0_33]) ).
cnf(refute_0_35,plain,
( skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))) != skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)
| ~ cp1(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))
| cp1(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))) ),
introduced(tautology,[equality,[$cnf( ~ cp1(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))) ),[0],$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))]]) ).
cnf(refute_0_36,plain,
( ~ cp1(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))
| cp1(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))),skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
~ cp1(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)),
inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y_3(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))) )],[refute_0_36,refute_0_15]) ).
cnf(refute_0_38,plain,
( ~ ca_Ax2(X)
| cp1(X) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_39,plain,
( ~ ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796))
| cp1(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)))]]) ).
cnf(refute_0_40,plain,
cp1(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)),
inference(resolve,[$cnf( ca_Ax2(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)) )],[refute_0_3,refute_0_39]) ).
cnf(refute_0_41,plain,
$false,
inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y(i2003_11_14_17_21_48796)) )],[refute_0_40,refute_0_37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS120+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n027.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
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Tue Jun 7 17:19:10 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.18/0.37 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.18/0.37
% 0.18/0.37 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.18/0.38
%------------------------------------------------------------------------------