TSTP Solution File: KRS101+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS101+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n026.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 03:18:43 EDT 2022
% Result : Unsatisfiable 0.13s 0.34s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 22
% Number of leaves : 8
% Syntax : Number of formulae : 63 ( 16 unt; 1 def)
% Number of atoms : 231 ( 45 equ)
% Maximal formula atoms : 51 ( 3 avg)
% Number of connectives : 301 ( 133 ~; 125 |; 33 &)
% ( 6 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 21 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 9 ( 6 usr; 1 prp; 0-2 aty)
% Number of functors : 8 ( 8 usr; 1 con; 0-1 aty)
% Number of variables : 85 ( 3 sgn 42 !; 15 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ! [Y] :
( rr(X,Y)
=> cd(Y) )
& ! [Y] :
( rr(X,Y)
=> ( ~ ? [Z0,Z1] :
( rs(Y,Z0)
& rs(Y,Z1)
& Z0 != Z1 )
| cc(Y) ) )
& ? [Y] :
( rr(X,Y)
& ~ ! [Z0,Z1] :
( ( rs(Y,Z0)
& rs(Y,Z1) )
=> Z0 = Z1 ) ) ) ) ).
fof(axiom_3,axiom,
! [X] :
( cc(X)
=> ~ cd(X) ) ).
fof(axiom_4,axiom,
cUnsatisfiable(i2003_11_14_17_20_36582) ).
fof(definition_0,definition,
! [X,Y] :
( definitionFOFtoCNF_0(X,Y)
<=> ( ~ rr(X,Y)
| cd(Y) ) ) ).
fof(normalize_0_0,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ? [Y] :
( ~ cd(Y)
& rr(X,Y) )
| ? [Y] :
( ~ cc(Y)
& rr(X,Y)
& ? [Z0,Z1] :
( Z0 != Z1
& rs(Y,Z0)
& rs(Y,Z1) ) )
| ! [Y] :
( ~ rr(X,Y)
| ! [Z0,Z1] :
( ~ rs(Y,Z0)
| ~ rs(Y,Z1)
| Z0 = Z1 ) ) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ? [Y] :
( ~ cd(Y)
& rr(X,Y) )
| ? [Y] :
( ~ cc(Y)
& rr(X,Y)
& ? [Z0,Z1] :
( Z0 != Z1
& rs(Y,Z0)
& rs(Y,Z1) ) )
| ! [Y] :
( ~ rr(X,Y)
| ! [Z0,Z1] :
( ~ rs(Y,Z0)
| ~ rs(Y,Z1)
| Z0 = Z1 ) ) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_0(X,Y)
<=> ( ~ cd(Y)
& rr(X,Y) ) ),
inference(canonicalize,[],[definition_0]) ).
fof(normalize_0_3,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ? [Y] : ~ definitionFOFtoCNF_0(X,Y)
| ? [Y] :
( ~ cc(Y)
& rr(X,Y)
& ? [Z0,Z1] :
( Z0 != Z1
& rs(Y,Z0)
& rs(Y,Z1) ) )
| ! [Y] :
( ~ rr(X,Y)
| ! [Z0,Z1] :
( ~ rs(Y,Z0)
| ~ rs(Y,Z1)
| Z0 = Z1 ) ) ) ),
inference(simplify,[],[normalize_0_1,normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X,Y,Z0,Z1] :
( ( skolemFOFtoCNF_Z0_1(X) != skolemFOFtoCNF_Z1_1(X)
| ~ cUnsatisfiable(X) )
& ( ~ cUnsatisfiable(X)
| definitionFOFtoCNF_0(X,Y) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) )
& ( ~ cUnsatisfiable(X)
| rs(skolemFOFtoCNF_Y_2(X),skolemFOFtoCNF_Z0_1(X)) )
& ( ~ cUnsatisfiable(X)
| rs(skolemFOFtoCNF_Y_2(X),skolemFOFtoCNF_Z1_1(X)) )
& ( ~ cUnsatisfiable(X)
| ~ rr(X,Y)
| ~ rs(Y,Z0)
| ~ rs(Y,Z1)
| Z0 = Z1
| cc(Y) )
& ( skolemFOFtoCNF_Z0(X) != skolemFOFtoCNF_Z1(X)
| ~ definitionFOFtoCNF_0(X,skolemFOFtoCNF_Y(X))
| ~ rr(X,Y)
| ~ rs(Y,Z0)
| ~ rs(Y,Z1)
| Z0 = Z1
| cUnsatisfiable(X) )
& ( ~ cc(skolemFOFtoCNF_Y_1(X))
| ~ definitionFOFtoCNF_0(X,skolemFOFtoCNF_Y(X))
| ~ rr(X,Y)
| ~ rs(Y,Z0)
| ~ rs(Y,Z1)
| Z0 = Z1
| cUnsatisfiable(X) )
& ( ~ definitionFOFtoCNF_0(X,skolemFOFtoCNF_Y(X))
| ~ rr(X,Y)
| ~ rs(Y,Z0)
| ~ rs(Y,Z1)
| Z0 = Z1
| cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ definitionFOFtoCNF_0(X,skolemFOFtoCNF_Y(X))
| ~ rr(X,Y)
| ~ rs(Y,Z0)
| ~ rs(Y,Z1)
| Z0 = Z1
| cUnsatisfiable(X)
| rs(skolemFOFtoCNF_Y_1(X),skolemFOFtoCNF_Z0(X)) )
& ( ~ definitionFOFtoCNF_0(X,skolemFOFtoCNF_Y(X))
| ~ rr(X,Y)
| ~ rs(Y,Z0)
| ~ rs(Y,Z1)
| Z0 = Z1
| cUnsatisfiable(X)
| rs(skolemFOFtoCNF_Y_1(X),skolemFOFtoCNF_Z1(X)) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( skolemFOFtoCNF_Z0_1(X) != skolemFOFtoCNF_Z1_1(X)
| ~ cUnsatisfiable(X) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
cUnsatisfiable(i2003_11_14_17_20_36582),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rs(skolemFOFtoCNF_Y_2(X),skolemFOFtoCNF_Z1_1(X)) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_9,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rs(skolemFOFtoCNF_Y_2(X),skolemFOFtoCNF_Z0_1(X)) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_10,plain,
! [X,Y,Z0,Z1] :
( ~ cUnsatisfiable(X)
| ~ rr(X,Y)
| ~ rs(Y,Z0)
| ~ rs(Y,Z1)
| Z0 = Z1
| cc(Y) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ cc(X)
| ~ cd(X) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_12,plain,
! [X] :
( ~ cc(X)
| ~ cd(X) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( ( ~ cd(Y)
| definitionFOFtoCNF_0(X,Y) )
& ( definitionFOFtoCNF_0(X,Y)
| rr(X,Y) )
& ( ~ definitionFOFtoCNF_0(X,Y)
| ~ rr(X,Y)
| cd(Y) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_14,plain,
! [X,Y] :
( ~ definitionFOFtoCNF_0(X,Y)
| ~ rr(X,Y)
| cd(Y) ),
inference(conjunct,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X,Y] :
( ~ cUnsatisfiable(X)
| definitionFOFtoCNF_0(X,Y) ),
inference(conjunct,[],[normalize_0_4]) ).
cnf(refute_0_0,plain,
( skolemFOFtoCNF_Z0_1(X) != skolemFOFtoCNF_Z1_1(X)
| ~ cUnsatisfiable(X) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_1,plain,
( skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) != skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582)
| ~ cUnsatisfiable(i2003_11_14_17_20_36582) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(i2003_11_14_17_20_36582))]]) ).
cnf(refute_0_2,plain,
cUnsatisfiable(i2003_11_14_17_20_36582),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_4,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
| rr(i2003_11_14_17_20_36582,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(i2003_11_14_17_20_36582))]]) ).
cnf(refute_0_5,plain,
rr(i2003_11_14_17_20_36582,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_20_36582) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ cUnsatisfiable(X)
| rs(skolemFOFtoCNF_Y_2(X),skolemFOFtoCNF_Z1_1(X)) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_7,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
| rs(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582),skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582)) ),
inference(subst,[],[refute_0_6:[bind(X,$fot(i2003_11_14_17_20_36582))]]) ).
cnf(refute_0_8,plain,
rs(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582),skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_20_36582) )],[refute_0_2,refute_0_7]) ).
cnf(refute_0_9,plain,
( ~ cUnsatisfiable(X)
| rs(skolemFOFtoCNF_Y_2(X),skolemFOFtoCNF_Z0_1(X)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_10,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
| rs(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582),skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582)) ),
inference(subst,[],[refute_0_9:[bind(X,$fot(i2003_11_14_17_20_36582))]]) ).
cnf(refute_0_11,plain,
rs(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582),skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_20_36582) )],[refute_0_2,refute_0_10]) ).
cnf(refute_0_12,plain,
( ~ cUnsatisfiable(X)
| ~ rr(X,Y)
| ~ rs(Y,Z0)
| ~ rs(Y,Z1)
| Z0 = Z1
| cc(Y) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_13,plain,
( ~ cUnsatisfiable(X_19)
| ~ rr(X_19,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582))
| ~ rs(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582),X_22)
| ~ rs(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582),skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582))
| skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) = X_22
| cc(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)) ),
inference(subst,[],[refute_0_12:[bind(X,$fot(X_19)),bind(Y,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582))),bind(Z0,$fot(skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582))),bind(Z1,$fot(X_22))]]) ).
cnf(refute_0_14,plain,
( ~ cUnsatisfiable(X_19)
| ~ rr(X_19,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582))
| ~ rs(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582),X_22)
| skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) = X_22
| cc(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)) ),
inference(resolve,[$cnf( rs(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582),skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582)) )],[refute_0_11,refute_0_13]) ).
cnf(refute_0_15,plain,
( ~ cc(X)
| ~ cd(X) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_16,plain,
( ~ cc(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582))
| ~ cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)))]]) ).
cnf(refute_0_17,plain,
( ~ definitionFOFtoCNF_0(X,Y)
| ~ rr(X,Y)
| cd(Y) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_18,plain,
( ~ definitionFOFtoCNF_0(i2003_11_14_17_20_36582,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582))
| ~ rr(i2003_11_14_17_20_36582,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582))
| cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)) ),
inference(subst,[],[refute_0_17:[bind(X,$fot(i2003_11_14_17_20_36582)),bind(Y,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)))]]) ).
cnf(refute_0_19,plain,
( ~ definitionFOFtoCNF_0(i2003_11_14_17_20_36582,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582))
| cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)) ),
inference(resolve,[$cnf( rr(i2003_11_14_17_20_36582,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)) )],[refute_0_5,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ cUnsatisfiable(X)
| definitionFOFtoCNF_0(X,Y) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_21,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
| definitionFOFtoCNF_0(i2003_11_14_17_20_36582,X_12) ),
inference(subst,[],[refute_0_20:[bind(X,$fot(i2003_11_14_17_20_36582)),bind(Y,$fot(X_12))]]) ).
cnf(refute_0_22,plain,
definitionFOFtoCNF_0(i2003_11_14_17_20_36582,X_12),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_20_36582) )],[refute_0_2,refute_0_21]) ).
cnf(refute_0_23,plain,
definitionFOFtoCNF_0(i2003_11_14_17_20_36582,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)),
inference(subst,[],[refute_0_22:[bind(X_12,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)))]]) ).
cnf(refute_0_24,plain,
cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)),
inference(resolve,[$cnf( definitionFOFtoCNF_0(i2003_11_14_17_20_36582,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)) )],[refute_0_23,refute_0_19]) ).
cnf(refute_0_25,plain,
~ cc(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)),
inference(resolve,[$cnf( cd(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)) )],[refute_0_24,refute_0_16]) ).
cnf(refute_0_26,plain,
( ~ cUnsatisfiable(X_19)
| ~ rr(X_19,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582))
| ~ rs(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582),X_22)
| skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) = X_22 ),
inference(resolve,[$cnf( cc(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)) )],[refute_0_14,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ cUnsatisfiable(X_23)
| ~ rr(X_23,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582))
| ~ rs(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582),skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582))
| skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) = skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582) ),
inference(subst,[],[refute_0_26:[bind(X_19,$fot(X_23)),bind(X_22,$fot(skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582)))]]) ).
cnf(refute_0_28,plain,
( ~ cUnsatisfiable(X_23)
| ~ rr(X_23,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582))
| skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) = skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582) ),
inference(resolve,[$cnf( rs(skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582),skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582)) )],[refute_0_8,refute_0_27]) ).
cnf(refute_0_29,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
| ~ rr(i2003_11_14_17_20_36582,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582))
| skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) = skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582) ),
inference(subst,[],[refute_0_28:[bind(X_23,$fot(i2003_11_14_17_20_36582))]]) ).
cnf(refute_0_30,plain,
( ~ cUnsatisfiable(i2003_11_14_17_20_36582)
| skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) = skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582) ),
inference(resolve,[$cnf( rr(i2003_11_14_17_20_36582,skolemFOFtoCNF_Y_2(i2003_11_14_17_20_36582)) )],[refute_0_5,refute_0_29]) ).
cnf(refute_0_31,plain,
skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) = skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_20_36582) )],[refute_0_2,refute_0_30]) ).
cnf(refute_0_32,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_33,plain,
( X0 != X0
| X0 != Y0
| Y0 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y0)]]) ).
cnf(refute_0_34,plain,
( X0 != Y0
| Y0 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_32,refute_0_33]) ).
cnf(refute_0_35,plain,
( skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) != skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582)
| skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582) = skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) ),
inference(subst,[],[refute_0_34:[bind(X0,$fot(skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582))),bind(Y0,$fot(skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582)))]]) ).
cnf(refute_0_36,plain,
skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582) = skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582),skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582)) )],[refute_0_31,refute_0_35]) ).
cnf(refute_0_37,plain,
( skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) != skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582)
| skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582) != skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582)
| skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) = skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582) ),
introduced(tautology,[equality,[$cnf( ~ $equal(skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582),skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582)) ),[1],$fot(skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582))]]) ).
cnf(refute_0_38,plain,
( skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) != skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582)
| skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) = skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582),skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582)) )],[refute_0_36,refute_0_37]) ).
cnf(refute_0_39,plain,
( skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) != skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582)
| ~ cUnsatisfiable(i2003_11_14_17_20_36582) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582),skolemFOFtoCNF_Z1_1(i2003_11_14_17_20_36582)) )],[refute_0_38,refute_0_1]) ).
cnf(refute_0_40,plain,
skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582) = skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582),
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582))]]) ).
cnf(refute_0_41,plain,
~ cUnsatisfiable(i2003_11_14_17_20_36582),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582),skolemFOFtoCNF_Z0_1(i2003_11_14_17_20_36582)) )],[refute_0_40,refute_0_39]) ).
cnf(refute_0_42,plain,
$false,
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_20_36582) )],[refute_0_2,refute_0_41]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : KRS101+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : metis --show proof --show saturation %s
% 0.13/0.33 % Computer : n026.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 20:55:46 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.13/0.33 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.34 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34
% 0.13/0.34 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.35
%------------------------------------------------------------------------------