TSTP Solution File: KRS071+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : KRS071+1 : TPTP v8.1.0. Released v3.1.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n021.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 03:18:36 EDT 2022
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 24
% Number of leaves : 9
% Syntax : Number of formulae : 79 ( 17 unt; 0 def)
% Number of atoms : 303 ( 68 equ)
% Maximal formula atoms : 67 ( 3 avg)
% Number of connectives : 401 ( 177 ~; 173 |; 45 &)
% ( 3 <=>; 3 =>; 0 <=; 0 <~>)
% Maximal formula depth : 27 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 10 ( 7 usr; 1 prp; 0-2 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-1 aty)
% Number of variables : 75 ( 0 sgn 40 !; 9 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X] :
( cUnsatisfiable(X)
<=> ( ? [Y] :
( rr(X,Y)
& cp1(Y) )
& ? [Y] :
( rr(X,Y)
& cp2(Y) )
& ? [Y] :
( rr(X,Y)
& cp3(Y) )
& ! [Y2,Y3,Y4] :
( ( rr(X,Y2)
& rr(X,Y3)
& rr(X,Y4) )
=> ( Y2 = Y3
| Y2 = Y4
| Y3 = Y4 ) ) ) ) ).
fof(axiom_3,axiom,
! [X] :
( cp1(X)
=> ~ ( cp4(X)
| cp2(X)
| cp3(X)
| cp5(X) ) ) ).
fof(axiom_4,axiom,
! [X] :
( cp2(X)
=> ~ ( cp4(X)
| cp3(X)
| cp5(X) ) ) ).
fof(axiom_8,axiom,
cUnsatisfiable(i2003_11_14_17_18_39380) ).
fof(normalize_0_0,plain,
cUnsatisfiable(i2003_11_14_17_18_39380),
inference(canonicalize,[],[axiom_8]) ).
fof(normalize_0_1,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ? [Y2,Y3,Y4] :
( Y2 != Y3
& Y2 != Y4
& Y3 != Y4
& rr(X,Y2)
& rr(X,Y3)
& rr(X,Y4) )
| ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ rr(X,Y) ) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_2,plain,
! [X] :
( ~ cUnsatisfiable(X)
<=> ( ? [Y2,Y3,Y4] :
( Y2 != Y3
& Y2 != Y4
& Y3 != Y4
& rr(X,Y2)
& rr(X,Y3)
& rr(X,Y4) )
| ! [Y] :
( ~ cp1(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp2(Y)
| ~ rr(X,Y) )
| ! [Y] :
( ~ cp3(Y)
| ~ rr(X,Y) ) ) ),
inference(specialize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y,Y0,Y1,Y2,Y3,Y4] :
( ( ~ cUnsatisfiable(X)
| cp1(skolemFOFtoCNF_Y_2(X)) )
& ( ~ cUnsatisfiable(X)
| cp2(skolemFOFtoCNF_Y_1(X)) )
& ( ~ cUnsatisfiable(X)
| cp3(skolemFOFtoCNF_Y(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_1(X)) )
& ( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) )
& ( ~ cUnsatisfiable(X)
| ~ rr(X,Y2)
| ~ rr(X,Y3)
| ~ rr(X,Y4)
| Y2 = Y3
| Y2 = Y4
| Y3 = Y4 )
& ( skolemFOFtoCNF_Y0(X) != skolemFOFtoCNF_Y1(X)
| ~ cp1(Y)
| ~ cp2(Y0)
| ~ cp3(Y1)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| cUnsatisfiable(X) )
& ( skolemFOFtoCNF_Y0(X) != skolemFOFtoCNF_Y2(X)
| ~ cp1(Y)
| ~ cp2(Y0)
| ~ cp3(Y1)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| cUnsatisfiable(X) )
& ( skolemFOFtoCNF_Y1(X) != skolemFOFtoCNF_Y2(X)
| ~ cp1(Y)
| ~ cp2(Y0)
| ~ cp3(Y1)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| cUnsatisfiable(X) )
& ( ~ cp1(Y)
| ~ cp2(Y0)
| ~ cp3(Y1)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y0(X)) )
& ( ~ cp1(Y)
| ~ cp2(Y0)
| ~ cp3(Y1)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y1(X)) )
& ( ~ cp1(Y)
| ~ cp2(Y0)
| ~ cp3(Y1)
| ~ rr(X,Y)
| ~ rr(X,Y0)
| ~ rr(X,Y1)
| cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y2(X)) ) ),
inference(clausify,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cp2(skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cp1(skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_6,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_1(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_7,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_8,plain,
! [X] :
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_9,plain,
! [X,Y2,Y3,Y4] :
( ~ cUnsatisfiable(X)
| ~ rr(X,Y2)
| ~ rr(X,Y3)
| ~ rr(X,Y4)
| Y2 = Y3
| Y2 = Y4
| Y3 = Y4 ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_10,plain,
! [X] :
( ~ cp1(X)
| ( ~ cp2(X)
& ~ cp3(X)
& ~ cp4(X)
& ~ cp5(X) ) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_11,plain,
! [X] :
( ~ cp1(X)
| ( ~ cp2(X)
& ~ cp3(X)
& ~ cp4(X)
& ~ cp5(X) ) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X] :
( ( ~ cp1(X)
| ~ cp2(X) )
& ( ~ cp1(X)
| ~ cp3(X) )
& ( ~ cp1(X)
| ~ cp4(X) )
& ( ~ cp1(X)
| ~ cp5(X) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X] :
( ~ cp1(X)
| ~ cp3(X) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X] :
( ~ cUnsatisfiable(X)
| cp3(skolemFOFtoCNF_Y(X)) ),
inference(conjunct,[],[normalize_0_3]) ).
fof(normalize_0_15,plain,
! [X] :
( ~ cp1(X)
| ~ cp2(X) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_16,plain,
! [X] :
( ~ cp2(X)
| ( ~ cp3(X)
& ~ cp4(X)
& ~ cp5(X) ) ),
inference(canonicalize,[],[axiom_4]) ).
fof(normalize_0_17,plain,
! [X] :
( ~ cp2(X)
| ( ~ cp3(X)
& ~ cp4(X)
& ~ cp5(X) ) ),
inference(specialize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X] :
( ( ~ cp2(X)
| ~ cp3(X) )
& ( ~ cp2(X)
| ~ cp4(X) )
& ( ~ cp2(X)
| ~ cp5(X) ) ),
inference(clausify,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [X] :
( ~ cp2(X)
| ~ cp3(X) ),
inference(conjunct,[],[normalize_0_18]) ).
cnf(refute_0_0,plain,
cUnsatisfiable(i2003_11_14_17_18_39380),
inference(canonicalize,[],[normalize_0_0]) ).
cnf(refute_0_1,plain,
( ~ cUnsatisfiable(X)
| cp2(skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_4]) ).
cnf(refute_0_2,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| cp2(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(i2003_11_14_17_18_39380))]]) ).
cnf(refute_0_3,plain,
cp2(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_18_39380) )],[refute_0_0,refute_0_2]) ).
cnf(refute_0_4,plain,
( ~ cUnsatisfiable(X)
| cp1(skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_5,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)) ),
inference(subst,[],[refute_0_4:[bind(X,$fot(i2003_11_14_17_18_39380))]]) ).
cnf(refute_0_6,plain,
cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_18_39380) )],[refute_0_0,refute_0_5]) ).
cnf(refute_0_7,plain,
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_1(X)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_8,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| rr(i2003_11_14_17_18_39380,skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(i2003_11_14_17_18_39380))]]) ).
cnf(refute_0_9,plain,
rr(i2003_11_14_17_18_39380,skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_18_39380) )],[refute_0_0,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y_2(X)) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_11,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| rr(i2003_11_14_17_18_39380,skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)) ),
inference(subst,[],[refute_0_10:[bind(X,$fot(i2003_11_14_17_18_39380))]]) ).
cnf(refute_0_12,plain,
rr(i2003_11_14_17_18_39380,skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_18_39380) )],[refute_0_0,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ cUnsatisfiable(X)
| rr(X,skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_14,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| rr(i2003_11_14_17_18_39380,skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) ),
inference(subst,[],[refute_0_13:[bind(X,$fot(i2003_11_14_17_18_39380))]]) ).
cnf(refute_0_15,plain,
rr(i2003_11_14_17_18_39380,skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_18_39380) )],[refute_0_0,refute_0_14]) ).
cnf(refute_0_16,plain,
( ~ cUnsatisfiable(X)
| ~ rr(X,Y2)
| ~ rr(X,Y3)
| ~ rr(X,Y4)
| Y2 = Y3
| Y2 = Y4
| Y3 = Y4 ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_17,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| ~ rr(i2003_11_14_17_18_39380,X_26)
| ~ rr(i2003_11_14_17_18_39380,X_27)
| ~ rr(i2003_11_14_17_18_39380,skolemFOFtoCNF_Y(i2003_11_14_17_18_39380))
| X_26 = X_27
| skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = X_26
| skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = X_27 ),
inference(subst,[],[refute_0_16:[bind(X,$fot(i2003_11_14_17_18_39380)),bind(Y2,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380))),bind(Y3,$fot(X_26)),bind(Y4,$fot(X_27))]]) ).
cnf(refute_0_18,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| ~ rr(i2003_11_14_17_18_39380,X_26)
| ~ rr(i2003_11_14_17_18_39380,X_27)
| X_26 = X_27
| skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = X_26
| skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = X_27 ),
inference(resolve,[$cnf( rr(i2003_11_14_17_18_39380,skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) )],[refute_0_15,refute_0_17]) ).
cnf(refute_0_19,plain,
( ~ rr(i2003_11_14_17_18_39380,X_26)
| ~ rr(i2003_11_14_17_18_39380,X_27)
| X_26 = X_27
| skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = X_26
| skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = X_27 ),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_18_39380) )],[refute_0_0,refute_0_18]) ).
cnf(refute_0_20,plain,
( ~ rr(i2003_11_14_17_18_39380,X_29)
| ~ rr(i2003_11_14_17_18_39380,skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380))
| skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = X_29
| skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380) = X_29 ),
inference(subst,[],[refute_0_19:[bind(X_26,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380))),bind(X_27,$fot(X_29))]]) ).
cnf(refute_0_21,plain,
( ~ rr(i2003_11_14_17_18_39380,X_29)
| skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = X_29
| skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380) = X_29 ),
inference(resolve,[$cnf( rr(i2003_11_14_17_18_39380,skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)) )],[refute_0_12,refute_0_20]) ).
cnf(refute_0_22,plain,
( ~ rr(i2003_11_14_17_18_39380,skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380))
| skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)
| skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380) ),
inference(subst,[],[refute_0_21:[bind(X_29,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)))]]) ).
cnf(refute_0_23,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)
| skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380) ),
inference(resolve,[$cnf( rr(i2003_11_14_17_18_39380,skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)) )],[refute_0_9,refute_0_22]) ).
cnf(refute_0_24,plain,
X0 = X0,
introduced(tautology,[refl,[$fot(X0)]]) ).
cnf(refute_0_25,plain,
( X0 != X0
| X0 != Y5
| Y5 = X0 ),
introduced(tautology,[equality,[$cnf( $equal(X0,X0) ),[0],$fot(Y5)]]) ).
cnf(refute_0_26,plain,
( X0 != Y5
| Y5 = X0 ),
inference(resolve,[$cnf( $equal(X0,X0) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) != skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) ),
inference(subst,[],[refute_0_26:[bind(X0,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380))),bind(Y5,$fot(skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)))]]) ).
cnf(refute_0_28,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380),skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)) )],[refute_0_23,refute_0_27]) ).
cnf(refute_0_29,plain,
( skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380) != skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)
| ~ cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380))
| cp1(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) ),
introduced(tautology,[equality,[$cnf( cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)) ),[0],$fot(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380))]]) ).
cnf(refute_0_30,plain,
( ~ cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380))
| skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)
| cp1(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380),skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)
| cp1(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) ),
inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)) )],[refute_0_6,refute_0_30]) ).
cnf(refute_0_32,plain,
( ~ cp1(X)
| ~ cp3(X) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_33,plain,
( ~ cp1(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380))
| ~ cp3(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) ),
inference(subst,[],[refute_0_32:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)))]]) ).
cnf(refute_0_34,plain,
( ~ cUnsatisfiable(X)
| cp3(skolemFOFtoCNF_Y(X)) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_35,plain,
( ~ cUnsatisfiable(i2003_11_14_17_18_39380)
| cp3(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) ),
inference(subst,[],[refute_0_34:[bind(X,$fot(i2003_11_14_17_18_39380))]]) ).
cnf(refute_0_36,plain,
cp3(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)),
inference(resolve,[$cnf( cUnsatisfiable(i2003_11_14_17_18_39380) )],[refute_0_0,refute_0_35]) ).
cnf(refute_0_37,plain,
~ cp1(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)),
inference(resolve,[$cnf( cp3(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) )],[refute_0_36,refute_0_33]) ).
cnf(refute_0_38,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)
| skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380) ),
inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) )],[refute_0_31,refute_0_37]) ).
cnf(refute_0_39,plain,
( skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380) != skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)
| ~ cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380))
| cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)) ),
introduced(tautology,[equality,[$cnf( cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)) ),[0],$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380))]]) ).
cnf(refute_0_40,plain,
( ~ cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380))
| skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)
| cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380),skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)) )],[refute_0_38,refute_0_39]) ).
cnf(refute_0_41,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)
| cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)) ),
inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y_2(i2003_11_14_17_18_39380)) )],[refute_0_6,refute_0_40]) ).
cnf(refute_0_42,plain,
( ~ cp1(X)
| ~ cp2(X) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_43,plain,
( ~ cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380))
| ~ cp2(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)) ),
inference(subst,[],[refute_0_42:[bind(X,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)))]]) ).
cnf(refute_0_44,plain,
~ cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)),
inference(resolve,[$cnf( cp2(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)) )],[refute_0_3,refute_0_43]) ).
cnf(refute_0_45,plain,
skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380),
inference(resolve,[$cnf( cp1(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)) )],[refute_0_41,refute_0_44]) ).
cnf(refute_0_46,plain,
( skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) != skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)
| skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y(i2003_11_14_17_18_39380) ),
inference(subst,[],[refute_0_26:[bind(X0,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380))),bind(Y5,$fot(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)))]]) ).
cnf(refute_0_47,plain,
skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380) = skolemFOFtoCNF_Y(i2003_11_14_17_18_39380),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380),skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)) )],[refute_0_45,refute_0_46]) ).
cnf(refute_0_48,plain,
( skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380) != skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)
| ~ cp2(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380))
| cp2(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) ),
introduced(tautology,[equality,[$cnf( cp2(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)) ),[0],$fot(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380))]]) ).
cnf(refute_0_49,plain,
( ~ cp2(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380))
| cp2(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380),skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) )],[refute_0_47,refute_0_48]) ).
cnf(refute_0_50,plain,
cp2(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)),
inference(resolve,[$cnf( cp2(skolemFOFtoCNF_Y_1(i2003_11_14_17_18_39380)) )],[refute_0_3,refute_0_49]) ).
cnf(refute_0_51,plain,
( ~ cp2(X)
| ~ cp3(X) ),
inference(canonicalize,[],[normalize_0_19]) ).
cnf(refute_0_52,plain,
( ~ cp2(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380))
| ~ cp3(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) ),
inference(subst,[],[refute_0_51:[bind(X,$fot(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)))]]) ).
cnf(refute_0_53,plain,
~ cp2(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)),
inference(resolve,[$cnf( cp3(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) )],[refute_0_36,refute_0_52]) ).
cnf(refute_0_54,plain,
$false,
inference(resolve,[$cnf( cp2(skolemFOFtoCNF_Y(i2003_11_14_17_18_39380)) )],[refute_0_50,refute_0_53]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : KRS071+1 : TPTP v8.1.0. Released v3.1.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n021.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 12:32:36 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Unsatisfiable for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.36
% 0.13/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.13/0.37
%------------------------------------------------------------------------------