TSTP Solution File: KRS115+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS115+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 03:18:46 EDT 2022
% Result : Unsatisfiable 0.13s 0.35s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 95 ( 22 unt; 0 def)
% Number of atoms : 223 ( 29 equ)
% Maximal formula atoms : 19 ( 2 avg)
% Number of connectives : 241 ( 113 ~; 95 |; 17 &)
% ( 9 <=>; 7 =>; 0 <=; 0 <~>)
% Maximal formula depth : 18 ( 4 avg)
% Maximal term depth : 3 ( 1 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 : 112 ( 1 sgn 77 !; 7 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_0,axiom,
! [X] :
( cowlThing(X)
& ~ cowlNothing(X) ) ).
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rf2(X,Y)
& cp2(Y) )
& ? [Y] :
( rf1(X,Y)
& cp1(Y) )
& ? [Y] :
( rr(X,Y)
& cowlThing(Y) ) ) ) ).
fof(axiom_3,axiom,
! [X] :
( cp1(X)
=> cp2xcomp(X) ) ).
fof(axiom_4,axiom,
! [X] :
( cp2(X)
<=> ~ ? [Y] : ra_Px1(X,Y) ) ).
fof(axiom_5,axiom,
! [X] :
( cp2xcomp(X)
<=> ? [Y2] : ra_Px1(X,Y2) ) ).
fof(axiom_6,axiom,
! [X] :
( cowlThing(X)
=> ! [Y2,Y3] :
( ( rf1(X,Y2)
& rf1(X,Y3) )
=> Y2 = Y3 ) ) ).
fof(axiom_7,axiom,
! [X] :
( cowlThing(X)
=> ! [Y2,Y3] :
( ( rf2(X,Y2)
& rf2(X,Y3) )
=> Y2 = Y3 ) ) ).
fof(axiom_8,axiom,
cUnsatisfiable(i2003_11_14_17_21_30578) ).
fof(axiom_9,axiom,
! [X,Y] :
( rr(X,Y)
=> rf2(X,Y) ) ).
fof(axiom_10,axiom,
! [X,Y] :
( rr(X,Y)
=> rf1(X,Y) ) ).
fof(normalize_0_0,plain,
! [X] :
( ~ cp1(X)
| cp2xcomp(X) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cp1(X)
| cp2xcomp(X) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(canonicalize,[],[axiom_8]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rf2(X,Y) ) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ! [Y] :
( ~ cowlThing(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp1(Y)
| ~ rf1(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rf2(X,Y) ) ) ),
inference(specialize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y,Y0,Y1] :
( ( ~ cUnsatisfiable(X)
| cowlThing(skolemFOFtoCNF_Y_2(X)) )
& ( ~ cUnsatisfiable(X)
| cp1(skolemFOFtoCNF_Y_1(X)) )
& ( ~ cUnsatisfiable(X)
| cp2(skolemFOFtoCNF_Y(X)) )
& ( ~ cUnsatisfiable(X)
| rf1(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ cUnsatisfiable(X)
| rf2(X,skolemFOFtoCNF_Y(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) )
& ( ~ cowlThing(Y)
| ~ cp1(Y0)
| ~ cp2(Y1)
| ~ rf1(X,Y0)
| ~ rf2(X,Y1)
| ~ rr(X,Y)
| cUnsatisfiable(X) ) ),
inference(clausify,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cp1(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ cp2xcomp(X)
<=> ! [Y2] : ~ ra_Px1(X,Y2) ),
inference(canonicalize,[],[axiom_5]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ cp2xcomp(X)
<=> ! [Y2] : ~ ra_Px1(X,Y2) ),
inference(specialize,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X,Y2] :
( ( ~ cp2xcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) )
& ( ~ ra_Px1(X,Y2)
| cp2xcomp(X) ) ),
inference(clausify,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ cp2xcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
inference(conjunct,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ cp2(X)
<=> ? [Y] : ra_Px1(X,Y) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ cp2(X)
<=> ? [Y] : ra_Px1(X,Y) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( ( ~ cp2(X)
| ~ ra_Px1(X,Y) )
& ( cp2(X)
| ra_Px1(X,skolemFOFtoCNF_Y_3(X)) ) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X,Y] :
( ~ cp2(X)
| ~ ra_Px1(X,Y) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rf2(X,skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_17,plain,
! [X,Y] :
( ~ rr(X,Y)
| rf2(X,Y) ),
inference(canonicalize,[],[axiom_9]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( ~ rr(X,Y)
| rf2(X,Y) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X,Y] :
( ~ rr(X,Y)
| rf1(X,Y) ),
inference(canonicalize,[],[axiom_10]) ).
fof(normalize_0_20,plain,
! [X,Y] :
( ~ rr(X,Y)
| rf1(X,Y) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rf1(X,skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_22,plain,
! [X] :
( ~ cowlThing(X)
| ! [Y2,Y3] :
( ~ rf1(X,Y2)
| ~ rf1(X,Y3)
| Y2 = Y3 ) ),
inference(canonicalize,[],[axiom_6]) ).
fof(normalize_0_23,plain,
( ! [X] : ~ cowlNothing(X)
& ! [X] : cowlThing(X) ),
inference(canonicalize,[],[axiom_0]) ).
fof(normalize_0_24,plain,
! [X] : cowlThing(X),
inference(conjunct,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X] : cowlThing(X),
inference(specialize,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X,Y2,Y3] :
( ~ rf1(X,Y2)
| ~ rf1(X,Y3)
| Y2 = Y3 ),
inference(simplify,[],[normalize_0_22,normalize_0_25]) ).
fof(normalize_0_27,plain,
! [X,Y2,Y3] :
( ~ rf1(X,Y2)
| ~ rf1(X,Y3)
| Y2 = Y3 ),
inference(specialize,[],[normalize_0_26]) ).
fof(normalize_0_28,plain,
! [X] :
( ~ cowlThing(X)
| ! [Y2,Y3] :
( ~ rf2(X,Y2)
| ~ rf2(X,Y3)
| Y2 = Y3 ) ),
inference(canonicalize,[],[axiom_7]) ).
fof(normalize_0_29,plain,
! [X,Y2,Y3] :
( ~ rf2(X,Y2)
| ~ rf2(X,Y3)
| Y2 = Y3 ),
inference(simplify,[],[normalize_0_28,normalize_0_25]) ).
fof(normalize_0_30,plain,
! [X,Y2,Y3] :
( ~ rf2(X,Y2)
| ~ rf2(X,Y3)
| Y2 = Y3 ),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cp2(skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_5]) ).
cnf(refute_0_0,plain,
( ~ cp1(X)
| cp2xcomp(X) ),
inference(canonicalize,[],[normalize_0_1]) ).
cnf(refute_0_1,plain,
( ~ cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578))
| cp2xcomp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)))]]) ).
cnf(refute_0_2,plain,
cUnsatisfiable(i2003_11_14_17_21_30578),
inference(canonicalize,[],[normalize_0_2]) ).
cnf(refute_0_3,plain,
( ~ cUnsatisfiable(X)
| cp1(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_4,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_30578)
| cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(i2003_11_14_17_21_30578))]]) ).
cnf(refute_0_5,plain,
cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_30578) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
cp2xcomp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)),
inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)) )],[refute_0_5,refute_0_1]) ).
cnf(refute_0_7,plain,
( ~ cp2xcomp(X)
| ra_Px1(X,skolemFOFtoCNF_Y0(X)) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_8,plain,
( ~ cp2xcomp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578))
| ra_Px1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578))) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)))]]) ).
cnf(refute_0_9,plain,
ra_Px1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578))),
inference(resolve,[$cnf( cp2xcomp(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ cp2(X)
| ~ ra_Px1(X,Y) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_11,plain,
( ~ cp2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578))
| ~ ra_Px1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578))) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578))),bind(Y,$fot(skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578))))]]) ).
cnf(refute_0_12,plain,
~ cp2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)),
inference(resolve,[$cnf( ra_Px1(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578),skolemFOFtoCNF_Y0(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578))) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ cUnsatisfiable(X)
| rf2(X,skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_14,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_30578)
| rf2(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y(i2003_11_14_17_21_30578)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(i2003_11_14_17_21_30578))]]) ).
cnf(refute_0_15,plain,
rf2(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y(i2003_11_14_17_21_30578)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_30578) )],[refute_0_2,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_16]) ).
cnf(refute_0_17,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_30578)
| rr(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)) ),
inference(subst,[],[refute_0_16:[bind(X,$fot(i2003_11_14_17_21_30578))]]) ).
cnf(refute_0_18,plain,
rr(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_30578) )],[refute_0_2,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ rr(X,Y)
| rf2(X,Y) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_20,plain,
( ~ rr(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578))
| rf2(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)) ),
inference(subst,[],[refute_0_19:[bind(X,$fot(i2003_11_14_17_21_30578)),bind(Y,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)))]]) ).
cnf(refute_0_21,plain,
rf2(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)),
inference(resolve,[$cnf( rr(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)) )],[refute_0_18,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ rr(X,Y)
| rf1(X,Y) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_23,plain,
( ~ rr(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578))
| rf1(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)) ),
inference(subst,[],[refute_0_22:[bind(X,$fot(i2003_11_14_17_21_30578)),bind(Y,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)))]]) ).
cnf(refute_0_24,plain,
rf1(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)),
inference(resolve,[$cnf( rr(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)) )],[refute_0_18,refute_0_23]) ).
cnf(refute_0_25,plain,
( ~ cUnsatisfiable(X)
| rf1(X,skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_26,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_30578)
| rf1(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)) ),
inference(subst,[],[refute_0_25:[bind(X,$fot(i2003_11_14_17_21_30578))]]) ).
cnf(refute_0_27,plain,
rf1(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_30578) )],[refute_0_2,refute_0_26]) ).
cnf(refute_0_28,plain,
( ~ rf1(X,Y2)
| ~ rf1(X,Y3)
| Y2 = Y3 ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_29,plain,
( ~ rf1(i2003_11_14_17_21_30578,X_24)
| ~ rf1(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578))
| skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578) = X_24 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(i2003_11_14_17_21_30578)),bind(Y2,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578))),bind(Y3,$fot(X_24))]]) ).
cnf(refute_0_30,plain,
( ~ rf1(i2003_11_14_17_21_30578,X_24)
| skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578) = X_24 ),
inference(resolve,[$cnf( rf1(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)) )],[refute_0_27,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ rf1(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578))
| skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578) = skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578) ),
inference(subst,[],[refute_0_30:[bind(X_24,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)))]]) ).
cnf(refute_0_32,plain,
skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578) = skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578),
inference(resolve,[$cnf( rf1(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)) )],[refute_0_24,refute_0_31]) ).
cnf(refute_0_33,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_34,plain,
( X0 != X0
| X0 != Y4
| Y4 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y4)]]) ).
cnf(refute_0_35,plain,
( X0 != Y4
| Y4 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578) != skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578) = skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578))),bind(Y4,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)))]]) ).
cnf(refute_0_37,plain,
skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578) = skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578),skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)) )],[refute_0_32,refute_0_36]) ).
cnf(refute_0_38,plain,
( skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578) != skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)
| ~ rf2(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578))
| rf2(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)) ),
introduced(tautology,[equality,[$cnf( rf2(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)) ),[1],$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578))]]) ).
cnf(refute_0_39,plain,
( ~ rf2(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578))
| rf2(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578),skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
rf2(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)),
inference(resolve,[$cnf( rf2(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_2(i2003_11_14_17_21_30578)) )],[refute_0_21,refute_0_39]) ).
cnf(refute_0_41,plain,
( ~ rf2(X,Y2)
| ~ rf2(X,Y3)
| Y2 = Y3 ),
inference(canonicalize,[],[normalize_0_30]) ).
cnf(refute_0_42,plain,
( ~ rf2(i2003_11_14_17_21_30578,X_28)
| ~ rf2(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578))
| skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578) = X_28 ),
inference(subst,[],[refute_0_41:[bind(X,$fot(i2003_11_14_17_21_30578)),bind(Y2,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578))),bind(Y3,$fot(X_28))]]) ).
cnf(refute_0_43,plain,
( ~ rf2(i2003_11_14_17_21_30578,X_28)
| skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578) = X_28 ),
inference(resolve,[$cnf( rf2(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)) )],[refute_0_40,refute_0_42]) ).
cnf(refute_0_44,plain,
( ~ rf2(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y(i2003_11_14_17_21_30578))
| skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578) = skolemFOFtoCNF_Y(i2003_11_14_17_21_30578) ),
inference(subst,[],[refute_0_43:[bind(X_28,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_30578)))]]) ).
cnf(refute_0_45,plain,
skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578) = skolemFOFtoCNF_Y(i2003_11_14_17_21_30578),
inference(resolve,[$cnf( rf2(i2003_11_14_17_21_30578,skolemFOFtoCNF_Y(i2003_11_14_17_21_30578)) )],[refute_0_15,refute_0_44]) ).
cnf(refute_0_46,plain,
( skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578) != skolemFOFtoCNF_Y(i2003_11_14_17_21_30578)
| ~ cp2(skolemFOFtoCNF_Y(i2003_11_14_17_21_30578))
| cp2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)) ),
introduced(tautology,[equality,[$cnf( ~ cp2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)) ),[0],$fot(skolemFOFtoCNF_Y(i2003_11_14_17_21_30578))]]) ).
cnf(refute_0_47,plain,
( ~ cp2(skolemFOFtoCNF_Y(i2003_11_14_17_21_30578))
| cp2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578),skolemFOFtoCNF_Y(i2003_11_14_17_21_30578)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
~ cp2(skolemFOFtoCNF_Y(i2003_11_14_17_21_30578)),
inference(resolve,[$cnf( cp2(skolemFOFtoCNF_Y_1(i2003_11_14_17_21_30578)) )],[refute_0_47,refute_0_12]) ).
cnf(refute_0_49,plain,
( ~ cUnsatisfiable(X)
| cp2(skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_50,plain,
( ~ cUnsatisfiable(i2003_11_14_17_21_30578)
| cp2(skolemFOFtoCNF_Y(i2003_11_14_17_21_30578)) ),
inference(subst,[],[refute_0_49:[bind(X,$fot(i2003_11_14_17_21_30578))]]) ).
cnf(refute_0_51,plain,
cp2(skolemFOFtoCNF_Y(i2003_11_14_17_21_30578)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_21_30578) )],[refute_0_2,refute_0_50]) ).
cnf(refute_0_52,plain,
$false,
inference(resolve,[$cnf( cp2(skolemFOFtoCNF_Y(i2003_11_14_17_21_30578)) )],[refute_0_51,refute_0_48]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS115+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n029.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jun 7 15:50:05 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.35
% 0.13/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.36
%------------------------------------------------------------------------------