%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS114+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 03:18:46 EDT 2022
% Result : Unsatisfiable 0.20s 0.36s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 11
% Syntax : Number of formulae : 92 ( 19 unt; 0 def)
% Number of atoms : 249 ( 22 equ)
% Maximal formula atoms : 20 ( 2 avg)
% Number of connectives : 291 ( 134 ~; 105 |; 29 &)
% ( 21 <=>; 2 =>; 0 <=; 0 <~>)
% Maximal formula depth : 13 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 14 ( 11 usr; 1 prp; 0-2 aty)
% Number of functors : 9 ( 9 usr; 1 con; 0-1 aty)
% Number of variables : 106 ( 1 sgn 68 !; 13 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& ca_Ax4(Y) )
& ? [Y] :
( rs(X,Y)
& ca_Ax3(Y) ) ) ) ).
fof(axiom_3,axiom,
! [X] :
( cp(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ) ).
fof(axiom_4,axiom,
! [X] :
( cpxcomp(X)
<=> ? [Y1] : ra_Px1(X,Y1) ) ).
fof(axiom_7,axiom,
! [X] :
( ca_Ax3(X)
<=> ( cqxcomp(X)
& cpxcomp(X) ) ) ).
fof(axiom_8,axiom,
! [X] :
( ca_Ax4(X)
<=> ( ! [Y1,Y2] :
( ( rinvR(X,Y1)
& rinvR(X,Y2) )
=> Y1 = Y2 )
& ? [Y] :
( rinvR(X,Y)
& ca_Vx5(Y) ) ) ) ).
fof(axiom_9,axiom,
! [X] :
( ca_Vx5(X)
<=> ! [Y] :
( rs(X,Y)
=> cp(Y) ) ) ).
fof(axiom_10,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ) ).
fof(axiom_11,axiom,
cUnsatisfiable(i2003_11_14_17_21_262) ).
fof(normalize_0_0,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(canonicalize,[],[axiom_11]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ! [Y] :
( ~ ca_Ax3(Y)
| ~ rs(X,Y) )
| ! [Y] :
( ~ ca_Ax4(Y)
| ~ rr(X,Y) ) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ! [Y] :
( ~ ca_Ax3(Y)
| ~ rs(X,Y) )
| ! [Y] :
( ~ ca_Ax4(Y)
| ~ rr(X,Y) ) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y,Y0] :
( ( ~ cUnsatisfiable(X)
| ca_Ax3(skolemFOFtoCNF_Y_1(X)) )
& ( ~ cUnsatisfiable(X)
| ca_Ax4(skolemFOFtoCNF_Y(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y(X)) )
& ( ~ cUnsatisfiable(X)
| rs(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ ca_Ax3(Y)
| ~ ca_Ax4(Y0)
| ~ rr(X,Y0)
| ~ rs(X,Y)
| cUnsatisfiable(X) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ca_Ax4(skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ ca_Ax4(X)
<=> ( ? [Y1,Y2] :
( Y1 != Y2
& rinvR(X,Y1)
& rinvR(X,Y2) )
| ! [Y] :
( ~ ca_Vx5(Y)
| ~ rinvR(X,Y) ) ) ),
inference(canonicalize,[],[axiom_8]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ ca_Ax4(X)
<=> ( ? [Y1,Y2] :
( Y1 != Y2
& rinvR(X,Y1)
& rinvR(X,Y2) )
| ! [Y] :
( ~ ca_Vx5(Y)
| ~ rinvR(X,Y) ) ) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y,Y1,Y2] :
( ( ~ ca_Ax4(X)
| ca_Vx5(skolemFOFtoCNF_Y_4(X)) )
& ( ~ ca_Ax4(X)
| rinvR(X,skolemFOFtoCNF_Y_4(X)) )
& ( skolemFOFtoCNF_Y0_2(X) != skolemFOFtoCNF_Y1(X)
| ~ ca_Vx5(Y)
| ~ rinvR(X,Y)
| ca_Ax4(X) )
& ( ~ ca_Ax4(X)
| ~ rinvR(X,Y1)
| ~ rinvR(X,Y2)
| Y1 = Y2 )
& ( ~ ca_Vx5(Y)
| ~ rinvR(X,Y)
| ca_Ax4(X)
| rinvR(X,skolemFOFtoCNF_Y0_2(X)) )
& ( ~ ca_Vx5(Y)
| ~ rinvR(X,Y)
| ca_Ax4(X)
| rinvR(X,skolemFOFtoCNF_Y1(X)) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ ca_Ax4(X)
| ca_Vx5(skolemFOFtoCNF_Y_4(X)) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ ca_Ax4(X)
| rinvR(X,skolemFOFtoCNF_Y_4(X)) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_11,plain,
! [X,Y] :
( ~ rinvR(X,Y)
<=> ~ rr(Y,X) ),
inference(canonicalize,[],[axiom_10]) ).
fof(normalize_0_12,plain,
! [X,Y] :
( ~ rinvR(X,Y)
<=> ~ rr(Y,X) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( ( ~ rinvR(X,Y)
| rr(Y,X) )
& ( ~ rr(Y,X)
| rinvR(X,Y) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X,Y] :
( ~ rr(Y,X)
| rinvR(X,Y) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X,Y1,Y2] :
( ~ ca_Ax4(X)
| ~ rinvR(X,Y1)
| ~ rinvR(X,Y2)
| Y1 = Y2 ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rs(X,skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_17,plain,
! [X] :
( ~ ca_Vx5(X)
<=> ? [Y] :
( ~ cp(Y)
& rs(X,Y) ) ),
inference(canonicalize,[],[axiom_9]) ).
fof(normalize_0_18,plain,
! [X] :
( ~ ca_Vx5(X)
<=> ? [Y] :
( ~ cp(Y)
& rs(X,Y) ) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X,Y] :
( ( ~ cp(skolemFOFtoCNF_Y_5(X))
| ca_Vx5(X) )
& ( ca_Vx5(X)
| rs(X,skolemFOFtoCNF_Y_5(X)) )
& ( ~ ca_Vx5(X)
| ~ rs(X,Y)
| cp(Y) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X,Y] :
( ~ ca_Vx5(X)
| ~ rs(X,Y)
| cp(Y) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X] :
( ~ ca_Ax3(X)
<=> ( ~ cpxcomp(X)
| ~ cqxcomp(X) ) ),
inference(canonicalize,[],[axiom_7]) ).
fof(normalize_0_22,plain,
! [X] :
( ~ ca_Ax3(X)
<=> ( ~ cpxcomp(X)
| ~ cqxcomp(X) ) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [X] :
( ( ~ ca_Ax3(X)
| cpxcomp(X) )
& ( ~ ca_Ax3(X)
| cqxcomp(X) )
& ( ~ cpxcomp(X)
| ~ cqxcomp(X)
| ca_Ax3(X) ) ),
inference(clausify,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X] :
( ~ ca_Ax3(X)
| cpxcomp(X) ),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X] :
( ~ cUnsatisfiable(X)
| ca_Ax3(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_26,plain,
! [X] :
( ~ cpxcomp(X)
<=> ! [Y1] : ~ ra_Px1(X,Y1) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_27,plain,
! [X] :
( ~ cpxcomp(X)
<=> ! [Y1] : ~ ra_Px1(X,Y1) ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X,Y1] :
( ( ~ cpxcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) )
& ( ~ ra_Px1(X,Y1)
| cpxcomp(X) ) ),
inference(clausify,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [X] :
( ~ cpxcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
inference(conjunct,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [X] :
( ~ cp(X)
<=> ? [Y] : ra_Px1(X,Y) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_31,plain,
! [X] :
( ~ cp(X)
<=> ? [Y] : ra_Px1(X,Y) ),
inference(specialize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [X,Y] :
( ( ~ cp(X)
| ~ ra_Px1(X,Y) )
& ( cp(X)
| ra_Px1(X,skolemFOFtoCNF_Y_2(X)) ) ),
inference(clausify,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [X,Y] :
( ~ cp(X)
| ~ ra_Px1(X,Y) ),
inference(conjunct,[],[normalize_0_32]) ).
cnf(refute_0_0,plain,
cUnsatisfiable(i2003_11_14_17_21_262),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ cUnsatisfiable(X)
| ca_Ax4(skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_262)
| ca_Ax4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(i2003_11_14_17_21_262))]]) ).
cnf(refute_0_3,plain,
ca_Ax4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_262) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ ca_Ax4(X)
| ca_Vx5(skolemFOFtoCNF_Y_4(X)) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ ca_Ax4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))
| ca_Vx5(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)))]]) ).
cnf(refute_0_6,plain,
ca_Vx5(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))),
inference(resolve,[$cnf( ca_Ax4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)) )],[refute_0_3,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ ca_Ax4(X)
| rinvR(X,skolemFOFtoCNF_Y_4(X)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_8,plain,
( ~ ca_Ax4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))
| rinvR(skolemFOFtoCNF_Y(i2003_11_14_17_21_262),skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)))]]) ).
cnf(refute_0_9,plain,
rinvR(skolemFOFtoCNF_Y(i2003_11_14_17_21_262),skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))),
inference(resolve,[$cnf( ca_Ax4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)) )],[refute_0_3,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_11,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_262)
| rr(i2003_11_14_17_21_262,skolemFOFtoCNF_Y(i2003_11_14_17_21_262)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(i2003_11_14_17_21_262))]]) ).
cnf(refute_0_12,plain,
rr(i2003_11_14_17_21_262,skolemFOFtoCNF_Y(i2003_11_14_17_21_262)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_262) )],[refute_0_0,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ rr(Y,X)
| rinvR(X,Y) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_14,plain,
( ~ rr(i2003_11_14_17_21_262,skolemFOFtoCNF_Y(i2003_11_14_17_21_262))
| rinvR(skolemFOFtoCNF_Y(i2003_11_14_17_21_262),i2003_11_14_17_21_262) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))),bind(Y,$fot(i2003_11_14_17_21_262))]]) ).
cnf(refute_0_15,plain,
rinvR(skolemFOFtoCNF_Y(i2003_11_14_17_21_262),i2003_11_14_17_21_262),
inference(resolve,[$cnf( rr(i2003_11_14_17_21_262,skolemFOFtoCNF_Y(i2003_11_14_17_21_262)) )],[refute_0_12,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ ca_Ax4(X)
| ~ rinvR(X,Y1)
| ~ rinvR(X,Y2)
| Y1 = Y2 ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_17,plain,
( ~ ca_Ax4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))
| ~ rinvR(skolemFOFtoCNF_Y(i2003_11_14_17_21_262),X_48)
| ~ rinvR(skolemFOFtoCNF_Y(i2003_11_14_17_21_262),i2003_11_14_17_21_262)
| i2003_11_14_17_21_262 = X_48 ),
inference(subst,[],[refute_0_16:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))),bind(Y1,$fot(i2003_11_14_17_21_262)),bind(Y2,$fot(X_48))]]) ).
cnf(refute_0_18,plain,
( ~ ca_Ax4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))
| ~ rinvR(skolemFOFtoCNF_Y(i2003_11_14_17_21_262),X_48)
| i2003_11_14_17_21_262 = X_48 ),
inference(resolve,[$cnf( rinvR(skolemFOFtoCNF_Y(i2003_11_14_17_21_262),i2003_11_14_17_21_262) )],[refute_0_15,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ rinvR(skolemFOFtoCNF_Y(i2003_11_14_17_21_262),X_48)
| i2003_11_14_17_21_262 = X_48 ),
inference(resolve,[$cnf( ca_Ax4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)) )],[refute_0_3,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ rinvR(skolemFOFtoCNF_Y(i2003_11_14_17_21_262),skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)))
| i2003_11_14_17_21_262 = skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)) ),
inference(subst,[],[refute_0_19:[bind(X_48,$fot(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))))]]) ).
cnf(refute_0_21,plain,
i2003_11_14_17_21_262 = skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)),
inference(resolve,[$cnf( rinvR(skolemFOFtoCNF_Y(i2003_11_14_17_21_262),skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))) )],[refute_0_9,refute_0_20]) ).
cnf(refute_0_22,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_23,plain,
( X0 != X0
| X0 != Y3
| Y3 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y3)]]) ).
cnf(refute_0_24,plain,
( X0 != Y3
| Y3 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_22,refute_0_23]) ).
cnf(refute_0_25,plain,
( i2003_11_14_17_21_262 != skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))
| skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)) = i2003_11_14_17_21_262 ),
inference(subst,[],[refute_0_24:[bind(X0,$fot(i2003_11_14_17_21_262)),bind(Y3,$fot(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))))]]) ).
cnf(refute_0_26,plain,
skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)) = i2003_11_14_17_21_262,
inference(resolve,[$cnf( $equal(i2003_11_14_17_21_262,skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))) )],[refute_0_21,refute_0_25]) ).
cnf(refute_0_27,plain,
( skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)) != i2003_11_14_17_21_262
| ~ ca_Vx5(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)))
| ca_Vx5(i2003_11_14_17_21_262) ),
introduced(tautology,[equality,[$cnf( ca_Vx5(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))) ),[0],$fot(i2003_11_14_17_21_262)]]) ).
cnf(refute_0_28,plain,
( ~ ca_Vx5(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)))
| ca_Vx5(i2003_11_14_17_21_262) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262)),i2003_11_14_17_21_262) )],[refute_0_26,refute_0_27]) ).
cnf(refute_0_29,plain,
ca_Vx5(i2003_11_14_17_21_262),
inference(resolve,[$cnf( ca_Vx5(skolemFOFtoCNF_Y_4(skolemFOFtoCNF_Y(i2003_11_14_17_21_262))) )],[refute_0_6,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ cUnsatisfiable(X)
| rs(X,skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_31,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_262)
| rs(i2003_11_14_17_21_262,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)) ),
inference(subst,[],[refute_0_30:[bind(X,$fot(i2003_11_14_17_21_262))]]) ).
cnf(refute_0_32,plain,
rs(i2003_11_14_17_21_262,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_262) )],[refute_0_0,refute_0_31]) ).
cnf(refute_0_33,plain,
( ~ ca_Vx5(X)
| ~ rs(X,Y)
| cp(Y) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_34,plain,
( ~ ca_Vx5(i2003_11_14_17_21_262)
| ~ rs(i2003_11_14_17_21_262,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262))
| cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)) ),
inference(subst,[],[refute_0_33:[bind(X,$fot(i2003_11_14_17_21_262)),bind(Y,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)))]]) ).
cnf(refute_0_35,plain,
( ~ ca_Vx5(i2003_11_14_17_21_262)
| cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)) ),
inference(resolve,[$cnf( rs(i2003_11_14_17_21_262,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)) )],[refute_0_32,refute_0_34]) ).
cnf(refute_0_36,plain,
( ~ ca_Ax3(X)
| cpxcomp(X) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_37,plain,
( ~ ca_Ax3(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262))
| cpxcomp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)) ),
inference(subst,[],[refute_0_36:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)))]]) ).
cnf(refute_0_38,plain,
( ~ cUnsatisfiable(X)
| ca_Ax3(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_39,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_262)
| ca_Ax3(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)) ),
inference(subst,[],[refute_0_38:[bind(X,$fot(i2003_11_14_17_21_262))]]) ).
cnf(refute_0_40,plain,
ca_Ax3(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_262) )],[refute_0_0,refute_0_39]) ).
cnf(refute_0_41,plain,
cpxcomp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)),
inference(resolve,[$cnf( ca_Ax3(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)) )],[refute_0_40,refute_0_37]) ).
cnf(refute_0_42,plain,
( ~ cpxcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
inference(canonicalize,[],[normalize_0_29]) ).
cnf(refute_0_43,plain,
( ~ cpxcomp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262))
| ra_Px1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262))) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)))]]) ).
cnf(refute_0_44,plain,
ra_Px1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262))),
inference(resolve,[$cnf( cpxcomp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)) )],[refute_0_41,refute_0_43]) ).
cnf(refute_0_45,plain,
( ~ cp(X)
| ~ ra_Px1(X,Y) ),
inference(canonicalize,[],[normalize_0_33]) ).
cnf(refute_0_46,plain,
( ~ cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262))
| ~ ra_Px1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262))) ),
inference(subst,[],[refute_0_45:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262))),bind(Y,$fot(skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262))))]]) ).
cnf(refute_0_47,plain,
~ cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)),
inference(resolve,[$cnf( ra_Px1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262))) )],[refute_0_44,refute_0_46]) ).
cnf(refute_0_48,plain,
~ ca_Vx5(i2003_11_14_17_21_262),
inference(resolve,[$cnf( cp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_262)) )],[refute_0_35,refute_0_47]) ).
cnf(refute_0_49,plain,
$false,
inference(resolve,[$cnf( ca_Vx5(i2003_11_14_17_21_262) )],[refute_0_29,refute_0_48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : KRS114+1 : TPTP v8.1.0. Released v3.1.0.
% 0.13/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n019.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Tue Jun 7 07:20:55 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.36
% 0.20/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.37
%------------------------------------------------------------------------------