TSTP Solution File: KRS084+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS084+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n024.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 03:18:39 EDT 2022
% Result : Unsatisfiable 0.12s 0.35s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 21
% Number of leaves : 10
% Syntax : Number of formulae : 82 ( 18 unt; 0 def)
% Number of atoms : 213 ( 18 equ)
% Maximal formula atoms : 23 ( 2 avg)
% Number of connectives : 244 ( 113 ~; 96 |; 20 &)
% ( 12 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 15 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 10 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 1 con; 0-1 aty)
% Number of variables : 92 ( 0 sgn 62 !; 5 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rinvF(X,Y)
& cd(Y) )
& ! [Y] :
( rinvR(X,Y)
=> ? [Z] :
( rinvF(Y,Z)
& cd(Z) ) )
& ~ cc(X) ) ) ).
fof(axiom_3,axiom,
! [X] :
( cd(X)
<=> ( ? [Y] :
( rf(X,Y)
& ~ cc(Y) )
& cc(X) ) ) ).
fof(axiom_4,axiom,
! [X,Y,Z] :
( ( rf(X,Y)
& rf(X,Z) )
=> Y = Z ) ).
fof(axiom_5,axiom,
! [X,Y] :
( rinvF(X,Y)
<=> rf(Y,X) ) ).
fof(axiom_6,axiom,
! [X,Y] :
( rinvR(X,Y)
<=> rr(Y,X) ) ).
fof(axiom_8,axiom,
cUnsatisfiable(i2003_11_14_17_19_35232) ).
fof(axiom_9,axiom,
! [X,Y] :
( rf(X,Y)
=> rr(X,Y) ) ).
fof(normalize_0_0,plain,
! [X] :
( ~ cd(X)
<=> ( ~ cc(X)
| ! [Y] :
( ~ rf(X,Y)
| cc(Y) ) ) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cd(X)
<=> ( ~ cc(X)
| ! [Y] :
( ~ rf(X,Y)
| cc(Y) ) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ( ~ cc(skolemFOFtoCNF_Y_2(X))
| ~ cd(X) )
& ( ~ cd(X)
| cc(X) )
& ( ~ cd(X)
| rf(X,skolemFOFtoCNF_Y_2(X)) )
& ( ~ cc(X)
| ~ rf(X,Y)
| cc(Y)
| cd(X) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ cc(skolemFOFtoCNF_Y_2(X))
| ~ cd(X) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ cd(X)
| rf(X,skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ rinvR(X,Y)
<=> ~ rr(Y,X) ),
inference(canonicalize,[],[axiom_6]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( ~ rinvR(X,Y)
<=> ~ rr(Y,X) ),
inference(specialize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ( ~ rinvR(X,Y)
| rr(Y,X) )
& ( ~ rr(Y,X)
| rinvR(X,Y) ) ),
inference(clausify,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( ~ rr(Y,X)
| rinvR(X,Y) ),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
cUnsatisfiable(i2003_11_14_17_19_35232),
inference(canonicalize,[],[axiom_8]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( cc(X)
| ? [Y] :
( rinvR(X,Y)
& ! [Z] :
( ~ cd(Z)
| ~ rinvF(Y,Z) ) )
| ! [Y] :
( ~ cd(Y)
| ~ rinvF(X,Y) ) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( cc(X)
| ? [Y] :
( rinvR(X,Y)
& ! [Z] :
( ~ cd(Z)
| ~ rinvF(Y,Z) ) )
| ! [Y] :
( ~ cd(Y)
| ~ rinvF(X,Y) ) ) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X,Y,Z] :
( ( ~ cUnsatisfiable(X)
| ~ cc(X) )
& ( ~ cUnsatisfiable(X)
| cd(skolemFOFtoCNF_Y_1(X)) )
& ( ~ cUnsatisfiable(X)
| rinvF(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ cUnsatisfiable(X)
| ~ rinvR(X,Y)
| cd(skolemFOFtoCNF_Z(Y)) )
& ( ~ cUnsatisfiable(X)
| ~ rinvR(X,Y)
| rinvF(Y,skolemFOFtoCNF_Z(Y)) )
& ( ~ cd(Y)
| ~ rinvF(X,Y)
| cUnsatisfiable(X)
| cc(X)
| rinvR(X,skolemFOFtoCNF_Y(X)) )
& ( ~ cd(Y)
| ~ cd(Z)
| ~ rinvF(X,Y)
| ~ rinvF(skolemFOFtoCNF_Y(X),Z)
| cUnsatisfiable(X)
| cc(X) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rinvF(X,skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X,Y] :
( ~ rf(Y,X)
<=> ~ rinvF(X,Y) ),
inference(canonicalize,[],[axiom_5]) ).
fof(normalize_0_15,plain,
! [X,Y] :
( ~ rf(Y,X)
<=> ~ rinvF(X,Y) ),
inference(specialize,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
! [X,Y] :
( ( ~ rf(Y,X)
| rinvF(X,Y) )
& ( ~ rinvF(X,Y)
| rf(Y,X) ) ),
inference(clausify,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [X,Y] :
( ~ rinvF(X,Y)
| rf(Y,X) ),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X,Y] :
( ~ rf(X,Y)
| rr(X,Y) ),
inference(canonicalize,[],[axiom_9]) ).
fof(normalize_0_19,plain,
! [X,Y] :
( ~ rf(X,Y)
| rr(X,Y) ),
inference(specialize,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [X,Y] :
( ~ cUnsatisfiable(X)
| ~ rinvR(X,Y)
| cd(skolemFOFtoCNF_Z(Y)) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_21,plain,
! [X,Y] :
( ~ cUnsatisfiable(X)
| ~ rinvR(X,Y)
| rinvF(Y,skolemFOFtoCNF_Z(Y)) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_22,plain,
! [X,Y,Z] :
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_23,plain,
! [X,Y,Z] :
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
inference(specialize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X] :
( ~ cd(X)
| cc(X) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_25,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cd(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_12]) ).
cnf(refute_0_0,plain,
( ~ cc(skolemFOFtoCNF_Y_2(X))
| ~ cd(X) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ cc(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))))
| ~ cd(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))))]]) ).
cnf(refute_0_2,plain,
( ~ cd(X)
| rf(X,skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_3,plain,
( ~ cd(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))
| rf(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))) ),
inference(subst,[],[refute_0_2:[bind(X,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))))]]) ).
cnf(refute_0_4,plain,
( ~ rr(Y,X)
| rinvR(X,Y) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_5,plain,
( ~ rr(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232)
| rinvR(i2003_11_14_17_19_35232,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(i2003_11_14_17_19_35232)),bind(Y,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))]]) ).
cnf(refute_0_6,plain,
cUnsatisfiable(i2003_11_14_17_19_35232),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_7,plain,
( ~ cUnsatisfiable(X)
| rinvF(X,skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_8,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_35232)
| rinvF(i2003_11_14_17_19_35232,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(i2003_11_14_17_19_35232))]]) ).
cnf(refute_0_9,plain,
rinvF(i2003_11_14_17_19_35232,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_35232) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ rinvF(X,Y)
| rf(Y,X) ),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_11,plain,
( ~ rinvF(i2003_11_14_17_19_35232,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))
| rf(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(i2003_11_14_17_19_35232)),bind(Y,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))]]) ).
cnf(refute_0_12,plain,
rf(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232),
inference(resolve,[$cnf( rinvF(i2003_11_14_17_19_35232,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ rf(X,Y)
| rr(X,Y) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_14,plain,
( ~ rf(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232)
| rr(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))),bind(Y,$fot(i2003_11_14_17_19_35232))]]) ).
cnf(refute_0_15,plain,
rr(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232),
inference(resolve,[$cnf( rf(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232) )],[refute_0_12,refute_0_14]) ).
cnf(refute_0_16,plain,
rinvR(i2003_11_14_17_19_35232,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)),
inference(resolve,[$cnf( rr(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232),i2003_11_14_17_19_35232) )],[refute_0_15,refute_0_5]) ).
cnf(refute_0_17,plain,
( ~ cUnsatisfiable(X)
| ~ rinvR(X,Y)
| cd(skolemFOFtoCNF_Z(Y)) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_18,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_35232)
| ~ rinvR(i2003_11_14_17_19_35232,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))
| cd(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(i2003_11_14_17_19_35232)),bind(Y,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))]]) ).
cnf(refute_0_19,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_35232)
| cd(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))) ),
inference(resolve,[$cnf( rinvR(i2003_11_14_17_19_35232,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)) )],[refute_0_16,refute_0_18]) ).
cnf(refute_0_20,plain,
cd(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_35232) )],[refute_0_6,refute_0_19]) ).
cnf(refute_0_21,plain,
rf(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))),
inference(resolve,[$cnf( cd(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))) )],[refute_0_20,refute_0_3]) ).
cnf(refute_0_22,plain,
( ~ rinvF(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))
| rf(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)),skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))),bind(Y,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))))]]) ).
cnf(refute_0_23,plain,
( ~ cUnsatisfiable(X)
| ~ rinvR(X,Y)
| rinvF(Y,skolemFOFtoCNF_Z(Y)) ),
inference(canonicalize,[],[normalize_0_21]) ).
cnf(refute_0_24,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_35232)
| ~ rinvR(i2003_11_14_17_19_35232,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))
| rinvF(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))) ),
inference(subst,[],[refute_0_23:[bind(X,$fot(i2003_11_14_17_19_35232)),bind(Y,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))]]) ).
cnf(refute_0_25,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_35232)
| rinvF(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))) ),
inference(resolve,[$cnf( rinvR(i2003_11_14_17_19_35232,skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)) )],[refute_0_16,refute_0_24]) ).
cnf(refute_0_26,plain,
rinvF(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_35232) )],[refute_0_6,refute_0_25]) ).
cnf(refute_0_27,plain,
rf(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)),skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)),
inference(resolve,[$cnf( rinvF(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232),skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))) )],[refute_0_26,refute_0_22]) ).
cnf(refute_0_28,plain,
( ~ rf(X,Y)
| ~ rf(X,Z)
| Y = Z ),
inference(canonicalize,[],[normalize_0_23]) ).
cnf(refute_0_29,plain,
( ~ rf(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)),X_28)
| ~ rf(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)),skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))
| skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232) = X_28 ),
inference(subst,[],[refute_0_28:[bind(X,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))),bind(Y,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))),bind(Z,$fot(X_28))]]) ).
cnf(refute_0_30,plain,
( ~ rf(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)),X_28)
| skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232) = X_28 ),
inference(resolve,[$cnf( rf(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)),skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)) )],[refute_0_27,refute_0_29]) ).
cnf(refute_0_31,plain,
( ~ rf(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))))
| skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232) = skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))) ),
inference(subst,[],[refute_0_30:[bind(X_28,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))))]]) ).
cnf(refute_0_32,plain,
skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232) = skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))),
inference(resolve,[$cnf( rf(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))) )],[refute_0_21,refute_0_31]) ).
cnf(refute_0_33,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_34,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_35,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_33,refute_0_34]) ).
cnf(refute_0_36,plain,
( skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232) != skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))
| skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))) = skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232) ),
inference(subst,[],[refute_0_35:[bind(X0,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))),bind(Y0,$fot(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))))]]) ).
cnf(refute_0_37,plain,
skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))) = skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232),skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))) )],[refute_0_32,refute_0_36]) ).
cnf(refute_0_38,plain,
( skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))) != skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)
| ~ cc(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))
| cc(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))) ),
introduced(tautology,[equality,[$cnf( ~ cc(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))) ),[0],$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))]]) ).
cnf(refute_0_39,plain,
( ~ cc(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))
| cc(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))),skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)) )],[refute_0_37,refute_0_38]) ).
cnf(refute_0_40,plain,
( ~ cc(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))
| ~ cd(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))) ),
inference(resolve,[$cnf( cc(skolemFOFtoCNF_Y_2(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))) )],[refute_0_39,refute_0_1]) ).
cnf(refute_0_41,plain,
( ~ cd(X)
| cc(X) ),
inference(canonicalize,[],[normalize_0_24]) ).
cnf(refute_0_42,plain,
( ~ cd(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))
| cc(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)) ),
inference(subst,[],[refute_0_41:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)))]]) ).
cnf(refute_0_43,plain,
( ~ cUnsatisfiable(X)
| cd(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_44,plain,
( ~ cUnsatisfiable(i2003_11_14_17_19_35232)
| cd(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)) ),
inference(subst,[],[refute_0_43:[bind(X,$fot(i2003_11_14_17_19_35232))]]) ).
cnf(refute_0_45,plain,
cd(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_19_35232) )],[refute_0_6,refute_0_44]) ).
cnf(refute_0_46,plain,
cc(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)),
inference(resolve,[$cnf( cd(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)) )],[refute_0_45,refute_0_42]) ).
cnf(refute_0_47,plain,
~ cd(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))),
inference(resolve,[$cnf( cc(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232)) )],[refute_0_46,refute_0_40]) ).
cnf(refute_0_48,plain,
$false,
inference(resolve,[$cnf( cd(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y_1(i2003_11_14_17_19_35232))) )],[refute_0_20,refute_0_47]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS084+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 : n024.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 07:32:04 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.12/0.35 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.12/0.35
% 0.12/0.35 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.36
%------------------------------------------------------------------------------