TSTP Solution File: NUN062+2 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUN062+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n028.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 : Mon Jul 18 16:34:53 EDT 2022
% Result : Theorem 0.13s 0.38s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 14
% Syntax : Number of formulae : 92 ( 28 unt; 0 def)
% Number of atoms : 226 ( 93 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 238 ( 104 ~; 80 |; 54 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 3 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 1 con; 0-2 aty)
% Number of variables : 220 ( 15 sgn 95 !; 38 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_2,axiom,
! [X11] :
? [Y21] :
! [X12] :
( ( ~ r2(X11,X12)
& X12 != Y21 )
| ( r2(X11,X12)
& X12 = Y21 ) ) ).
fof(axiom_3,axiom,
! [X13,X14] :
? [Y22] :
! [X15] :
( ( ~ r3(X13,X14,X15)
& X15 != Y22 )
| ( r3(X13,X14,X15)
& X15 = Y22 ) ) ).
fof(axiom_1a,axiom,
! [X1,X8] :
? [Y4] :
( ? [Y5] :
( ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) )
& Y5 = Y4 )
& ? [Y7] :
( r2(Y7,Y4)
& r3(X1,X8,Y7) ) ) ).
fof(axiom_7a,axiom,
! [X7,Y10] :
( ! [Y20] :
( ~ r1(Y20)
| Y20 != Y10 )
| ~ r2(X7,Y10) ) ).
fof(infiniteNumbers,conjecture,
! [X1] :
? [Y2,Y1] :
( ! [Y4] :
( ~ r1(Y4)
| Y1 != Y4 )
& ? [Y3] :
( r3(X1,Y1,Y3)
& Y3 = Y2 ) ) ).
fof(subgoal_0,plain,
! [X1] :
? [Y2,Y1] :
( ! [Y4] :
( ~ r1(Y4)
| Y1 != Y4 )
& ? [Y3] :
( r3(X1,Y1,Y3)
& Y3 = Y2 ) ),
inference(strip,[],[infiniteNumbers]) ).
fof(negate_0_0,plain,
~ ! [X1] :
? [Y2,Y1] :
( ! [Y4] :
( ~ r1(Y4)
| Y1 != Y4 )
& ? [Y3] :
( r3(X1,Y1,Y3)
& Y3 = Y2 ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X1,X8] :
? [Y4] :
( ? [Y5] :
( Y5 = Y4
& ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) ) )
& ? [Y7] :
( r2(Y7,Y4)
& r3(X1,X8,Y7) ) ),
inference(canonicalize,[],[axiom_1a]) ).
fof(normalize_0_1,plain,
! [X1,X8] :
? [Y4] :
( ? [Y5] :
( Y5 = Y4
& ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) ) )
& ? [Y7] :
( r2(Y7,Y4)
& r3(X1,X8,Y7) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X1,X8] :
( ? [Y5] :
( Y5 = skolemFOFtoCNF_Y4(X1,X8)
& ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) ) )
& ? [Y7] :
( r2(Y7,skolemFOFtoCNF_Y4(X1,X8))
& r3(X1,X8,Y7) ) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X1,X8] :
? [Y5] :
( Y5 = skolemFOFtoCNF_Y4(X1,X8)
& ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,Y5) ) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X1,X8] :
( skolemFOFtoCNF_Y5(X1,X8) = skolemFOFtoCNF_Y4(X1,X8)
& ? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,skolemFOFtoCNF_Y5(X1,X8)) ) ),
inference(skolemize,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X1,X8] :
? [Y15] :
( r2(X8,Y15)
& r3(X1,Y15,skolemFOFtoCNF_Y5(X1,X8)) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X1,X8] :
( r2(X8,skolemFOFtoCNF_Y15(X1,X8))
& r3(X1,skolemFOFtoCNF_Y15(X1,X8),skolemFOFtoCNF_Y5(X1,X8)) ),
inference(skolemize,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X1,X8] : r3(X1,skolemFOFtoCNF_Y15(X1,X8),skolemFOFtoCNF_Y5(X1,X8)),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X1,X8] : skolemFOFtoCNF_Y5(X1,X8) = skolemFOFtoCNF_Y4(X1,X8),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_9,plain,
! [X1,X8] : r2(X8,skolemFOFtoCNF_Y15(X1,X8)),
inference(conjunct,[],[normalize_0_6]) ).
fof(normalize_0_10,plain,
! [X11] :
? [Y21] :
! [X12] :
( ( X12 != Y21
& ~ r2(X11,X12) )
| ( X12 = Y21
& r2(X11,X12) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_11,plain,
! [X11] :
? [Y21] :
! [X12] :
( ( X12 != Y21
& ~ r2(X11,X12) )
| ( X12 = Y21
& r2(X11,X12) ) ),
inference(specialize,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X11,X12] :
( ( X12 != skolemFOFtoCNF_Y21(X11)
& ~ r2(X11,X12) )
| ( X12 = skolemFOFtoCNF_Y21(X11)
& r2(X11,X12) ) ),
inference(skolemize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X11,X12] :
( ( X12 != skolemFOFtoCNF_Y21(X11)
& ~ r2(X11,X12) )
| ( X12 = skolemFOFtoCNF_Y21(X11)
& r2(X11,X12) ) ),
inference(specialize,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X11,X12] :
( ( X12 != skolemFOFtoCNF_Y21(X11)
| r2(X11,X12) )
& ( ~ r2(X11,X12)
| X12 = skolemFOFtoCNF_Y21(X11) ) ),
inference(clausify,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
! [X11,X12] :
( ~ r2(X11,X12)
| X12 = skolemFOFtoCNF_Y21(X11) ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
? [X1] :
! [Y1,Y2] :
( ? [Y4] :
( Y1 = Y4
& r1(Y4) )
| ! [Y3] :
( Y3 != Y2
| ~ r3(X1,Y1,Y3) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_17,plain,
! [Y1,Y2] :
( ? [Y4] :
( Y1 = Y4
& r1(Y4) )
| ! [Y3] :
( Y3 != Y2
| ~ r3(skolemFOFtoCNF_X1,Y1,Y3) ) ),
inference(skolemize,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [Y1,Y2] :
( ? [Y4] :
( Y1 = Y4
& r1(Y4) )
| ! [Y3] :
( Y3 != Y2
| ~ r3(skolemFOFtoCNF_X1,Y1,Y3) ) ),
inference(specialize,[],[normalize_0_17]) ).
fof(normalize_0_19,plain,
! [Y1,Y2,Y3] :
( ( Y3 != Y2
| ~ r3(skolemFOFtoCNF_X1,Y1,Y3)
| Y1 = skolemFOFtoCNF_Y4_1(Y1) )
& ( Y3 != Y2
| ~ r3(skolemFOFtoCNF_X1,Y1,Y3)
| r1(skolemFOFtoCNF_Y4_1(Y1)) ) ),
inference(clausify,[],[normalize_0_18]) ).
fof(normalize_0_20,plain,
! [Y1,Y2,Y3] :
( Y3 != Y2
| ~ r3(skolemFOFtoCNF_X1,Y1,Y3)
| r1(skolemFOFtoCNF_Y4_1(Y1)) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X13,X14] :
? [Y22] :
! [X15] :
( ( X15 != Y22
& ~ r3(X13,X14,X15) )
| ( X15 = Y22
& r3(X13,X14,X15) ) ),
inference(canonicalize,[],[axiom_3]) ).
fof(normalize_0_22,plain,
! [X13,X14] :
? [Y22] :
! [X15] :
( ( X15 != Y22
& ~ r3(X13,X14,X15) )
| ( X15 = Y22
& r3(X13,X14,X15) ) ),
inference(specialize,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
! [X13,X14,X15] :
( ( X15 != skolemFOFtoCNF_Y22(X13,X14)
& ~ r3(X13,X14,X15) )
| ( X15 = skolemFOFtoCNF_Y22(X13,X14)
& r3(X13,X14,X15) ) ),
inference(skolemize,[],[normalize_0_22]) ).
fof(normalize_0_24,plain,
! [X13,X14,X15] :
( ( X15 != skolemFOFtoCNF_Y22(X13,X14)
& ~ r3(X13,X14,X15) )
| ( X15 = skolemFOFtoCNF_Y22(X13,X14)
& r3(X13,X14,X15) ) ),
inference(specialize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
! [X13,X14,X15] :
( ( X15 != skolemFOFtoCNF_Y22(X13,X14)
| r3(X13,X14,X15) )
& ( ~ r3(X13,X14,X15)
| X15 = skolemFOFtoCNF_Y22(X13,X14) ) ),
inference(clausify,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
! [X13,X14,X15] :
( X15 != skolemFOFtoCNF_Y22(X13,X14)
| r3(X13,X14,X15) ),
inference(conjunct,[],[normalize_0_25]) ).
fof(normalize_0_27,plain,
! [Y1,Y2,Y3] :
( Y3 != Y2
| ~ r3(skolemFOFtoCNF_X1,Y1,Y3)
| Y1 = skolemFOFtoCNF_Y4_1(Y1) ),
inference(conjunct,[],[normalize_0_19]) ).
fof(normalize_0_28,plain,
! [X11,X12] :
( X12 != skolemFOFtoCNF_Y21(X11)
| r2(X11,X12) ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_29,plain,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( Y20 != Y10
| ~ r1(Y20) ) ),
inference(canonicalize,[],[axiom_7a]) ).
fof(normalize_0_30,plain,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( Y20 != Y10
| ~ r1(Y20) ) ),
inference(specialize,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [X7,Y10,Y20] :
( Y20 != Y10
| ~ r1(Y20)
| ~ r2(X7,Y10) ),
inference(clausify,[],[normalize_0_30]) ).
cnf(refute_0_0,plain,
r3(X1,skolemFOFtoCNF_Y15(X1,X8),skolemFOFtoCNF_Y5(X1,X8)),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_1,plain,
skolemFOFtoCNF_Y5(X1,X8) = skolemFOFtoCNF_Y4(X1,X8),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_2,plain,
( skolemFOFtoCNF_Y5(X1,X8) != skolemFOFtoCNF_Y4(X1,X8)
| ~ r3(X1,skolemFOFtoCNF_Y15(X1,X8),skolemFOFtoCNF_Y5(X1,X8))
| r3(X1,skolemFOFtoCNF_Y15(X1,X8),skolemFOFtoCNF_Y4(X1,X8)) ),
introduced(tautology,[equality,[$cnf( r3(X1,skolemFOFtoCNF_Y15(X1,X8),skolemFOFtoCNF_Y5(X1,X8)) ),[2],$fot(skolemFOFtoCNF_Y4(X1,X8))]]) ).
cnf(refute_0_3,plain,
( ~ r3(X1,skolemFOFtoCNF_Y15(X1,X8),skolemFOFtoCNF_Y5(X1,X8))
| r3(X1,skolemFOFtoCNF_Y15(X1,X8),skolemFOFtoCNF_Y4(X1,X8)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y5(X1,X8),skolemFOFtoCNF_Y4(X1,X8)) )],[refute_0_1,refute_0_2]) ).
cnf(refute_0_4,plain,
r3(X1,skolemFOFtoCNF_Y15(X1,X8),skolemFOFtoCNF_Y4(X1,X8)),
inference(resolve,[$cnf( r3(X1,skolemFOFtoCNF_Y15(X1,X8),skolemFOFtoCNF_Y5(X1,X8)) )],[refute_0_0,refute_0_3]) ).
cnf(refute_0_5,plain,
r2(X8,skolemFOFtoCNF_Y15(X1,X8)),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_6,plain,
r2(X_60,skolemFOFtoCNF_Y15(X1,X_60)),
inference(subst,[],[refute_0_5:[bind(X8,$fot(X_60))]]) ).
cnf(refute_0_7,plain,
( ~ r2(X11,X12)
| X12 = skolemFOFtoCNF_Y21(X11) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_8,plain,
( ~ r2(X_60,skolemFOFtoCNF_Y15(X1,X_60))
| skolemFOFtoCNF_Y15(X1,X_60) = skolemFOFtoCNF_Y21(X_60) ),
inference(subst,[],[refute_0_7:[bind(X11,$fot(X_60)),bind(X12,$fot(skolemFOFtoCNF_Y15(X1,X_60)))]]) ).
cnf(refute_0_9,plain,
skolemFOFtoCNF_Y15(X1,X_60) = skolemFOFtoCNF_Y21(X_60),
inference(resolve,[$cnf( r2(X_60,skolemFOFtoCNF_Y15(X1,X_60)) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
skolemFOFtoCNF_Y15(X1,X8) = skolemFOFtoCNF_Y21(X8),
inference(subst,[],[refute_0_9:[bind(X_60,$fot(X8))]]) ).
cnf(refute_0_11,plain,
( skolemFOFtoCNF_Y15(X1,X8) != skolemFOFtoCNF_Y21(X8)
| ~ r3(X1,skolemFOFtoCNF_Y15(X1,X8),skolemFOFtoCNF_Y4(X1,X8))
| r3(X1,skolemFOFtoCNF_Y21(X8),skolemFOFtoCNF_Y4(X1,X8)) ),
introduced(tautology,[equality,[$cnf( r3(X1,skolemFOFtoCNF_Y15(X1,X8),skolemFOFtoCNF_Y4(X1,X8)) ),[1],$fot(skolemFOFtoCNF_Y21(X8))]]) ).
cnf(refute_0_12,plain,
( ~ r3(X1,skolemFOFtoCNF_Y15(X1,X8),skolemFOFtoCNF_Y4(X1,X8))
| r3(X1,skolemFOFtoCNF_Y21(X8),skolemFOFtoCNF_Y4(X1,X8)) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y15(X1,X8),skolemFOFtoCNF_Y21(X8)) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
r3(X1,skolemFOFtoCNF_Y21(X8),skolemFOFtoCNF_Y4(X1,X8)),
inference(resolve,[$cnf( r3(X1,skolemFOFtoCNF_Y15(X1,X8),skolemFOFtoCNF_Y4(X1,X8)) )],[refute_0_4,refute_0_12]) ).
cnf(refute_0_14,plain,
r3(skolemFOFtoCNF_X1,skolemFOFtoCNF_Y21(X8),skolemFOFtoCNF_Y4(skolemFOFtoCNF_X1,X8)),
inference(subst,[],[refute_0_13:[bind(X1,$fot(skolemFOFtoCNF_X1))]]) ).
cnf(refute_0_15,plain,
( Y3 != Y2
| ~ r3(skolemFOFtoCNF_X1,Y1,Y3)
| r1(skolemFOFtoCNF_Y4_1(Y1)) ),
inference(canonicalize,[],[normalize_0_20]) ).
cnf(refute_0_16,plain,
( Y2 != Y2
| ~ r3(skolemFOFtoCNF_X1,Y1,Y2)
| r1(skolemFOFtoCNF_Y4_1(Y1)) ),
inference(subst,[],[refute_0_15:[bind(Y3,$fot(Y2))]]) ).
cnf(refute_0_17,plain,
Y2 = Y2,
introduced(tautology,[refl,[$fot(Y2)]]) ).
cnf(refute_0_18,plain,
( ~ r3(skolemFOFtoCNF_X1,Y1,Y2)
| r1(skolemFOFtoCNF_Y4_1(Y1)) ),
inference(resolve,[$cnf( $equal(Y2,Y2) )],[refute_0_17,refute_0_16]) ).
cnf(refute_0_19,plain,
( X15 != skolemFOFtoCNF_Y22(X13,X14)
| r3(X13,X14,X15) ),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_20,plain,
( skolemFOFtoCNF_Y22(X13,X14) != skolemFOFtoCNF_Y22(X13,X14)
| r3(X13,X14,skolemFOFtoCNF_Y22(X13,X14)) ),
inference(subst,[],[refute_0_19:[bind(X15,$fot(skolemFOFtoCNF_Y22(X13,X14)))]]) ).
cnf(refute_0_21,plain,
skolemFOFtoCNF_Y22(X13,X14) = skolemFOFtoCNF_Y22(X13,X14),
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_Y22(X13,X14))]]) ).
cnf(refute_0_22,plain,
r3(X13,X14,skolemFOFtoCNF_Y22(X13,X14)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y22(X13,X14),skolemFOFtoCNF_Y22(X13,X14)) )],[refute_0_21,refute_0_20]) ).
cnf(refute_0_23,plain,
r3(skolemFOFtoCNF_X1,X_57,skolemFOFtoCNF_Y22(skolemFOFtoCNF_X1,X_57)),
inference(subst,[],[refute_0_22:[bind(X13,$fot(skolemFOFtoCNF_X1)),bind(X14,$fot(X_57))]]) ).
cnf(refute_0_24,plain,
( Y3 != Y2
| ~ r3(skolemFOFtoCNF_X1,Y1,Y3)
| Y1 = skolemFOFtoCNF_Y4_1(Y1) ),
inference(canonicalize,[],[normalize_0_27]) ).
cnf(refute_0_25,plain,
( Y2 != Y2
| ~ r3(skolemFOFtoCNF_X1,Y1,Y2)
| Y1 = skolemFOFtoCNF_Y4_1(Y1) ),
inference(subst,[],[refute_0_24:[bind(Y3,$fot(Y2))]]) ).
cnf(refute_0_26,plain,
( ~ r3(skolemFOFtoCNF_X1,Y1,Y2)
| Y1 = skolemFOFtoCNF_Y4_1(Y1) ),
inference(resolve,[$cnf( $equal(Y2,Y2) )],[refute_0_17,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ r3(skolemFOFtoCNF_X1,X_57,skolemFOFtoCNF_Y22(skolemFOFtoCNF_X1,X_57))
| X_57 = skolemFOFtoCNF_Y4_1(X_57) ),
inference(subst,[],[refute_0_26:[bind(Y1,$fot(X_57)),bind(Y2,$fot(skolemFOFtoCNF_Y22(skolemFOFtoCNF_X1,X_57)))]]) ).
cnf(refute_0_28,plain,
X_57 = skolemFOFtoCNF_Y4_1(X_57),
inference(resolve,[$cnf( r3(skolemFOFtoCNF_X1,X_57,skolemFOFtoCNF_Y22(skolemFOFtoCNF_X1,X_57)) )],[refute_0_23,refute_0_27]) ).
cnf(refute_0_29,plain,
X = X,
introduced(tautology,[refl,[$fot(X)]]) ).
cnf(refute_0_30,plain,
( X != X
| X != Y
| Y = X ),
introduced(tautology,[equality,[$cnf( $equal(X,X) ),[0],$fot(Y)]]) ).
cnf(refute_0_31,plain,
( X != Y
| Y = X ),
inference(resolve,[$cnf( $equal(X,X) )],[refute_0_29,refute_0_30]) ).
cnf(refute_0_32,plain,
( X_57 != skolemFOFtoCNF_Y4_1(X_57)
| skolemFOFtoCNF_Y4_1(X_57) = X_57 ),
inference(subst,[],[refute_0_31:[bind(X,$fot(X_57)),bind(Y,$fot(skolemFOFtoCNF_Y4_1(X_57)))]]) ).
cnf(refute_0_33,plain,
skolemFOFtoCNF_Y4_1(X_57) = X_57,
inference(resolve,[$cnf( $equal(X_57,skolemFOFtoCNF_Y4_1(X_57)) )],[refute_0_28,refute_0_32]) ).
cnf(refute_0_34,plain,
skolemFOFtoCNF_Y4_1(Y1) = Y1,
inference(subst,[],[refute_0_33:[bind(X_57,$fot(Y1))]]) ).
cnf(refute_0_35,plain,
( skolemFOFtoCNF_Y4_1(Y1) != Y1
| ~ r1(skolemFOFtoCNF_Y4_1(Y1))
| r1(Y1) ),
introduced(tautology,[equality,[$cnf( r1(skolemFOFtoCNF_Y4_1(Y1)) ),[0],$fot(Y1)]]) ).
cnf(refute_0_36,plain,
( ~ r1(skolemFOFtoCNF_Y4_1(Y1))
| r1(Y1) ),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y4_1(Y1),Y1) )],[refute_0_34,refute_0_35]) ).
cnf(refute_0_37,plain,
( ~ r3(skolemFOFtoCNF_X1,Y1,Y2)
| r1(Y1) ),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y4_1(Y1)) )],[refute_0_18,refute_0_36]) ).
cnf(refute_0_38,plain,
( ~ r3(skolemFOFtoCNF_X1,skolemFOFtoCNF_Y21(X8),skolemFOFtoCNF_Y4(skolemFOFtoCNF_X1,X8))
| r1(skolemFOFtoCNF_Y21(X8)) ),
inference(subst,[],[refute_0_37:[bind(Y1,$fot(skolemFOFtoCNF_Y21(X8))),bind(Y2,$fot(skolemFOFtoCNF_Y4(skolemFOFtoCNF_X1,X8)))]]) ).
cnf(refute_0_39,plain,
r1(skolemFOFtoCNF_Y21(X8)),
inference(resolve,[$cnf( r3(skolemFOFtoCNF_X1,skolemFOFtoCNF_Y21(X8),skolemFOFtoCNF_Y4(skolemFOFtoCNF_X1,X8)) )],[refute_0_14,refute_0_38]) ).
cnf(refute_0_40,plain,
( X12 != skolemFOFtoCNF_Y21(X11)
| r2(X11,X12) ),
inference(canonicalize,[],[normalize_0_28]) ).
cnf(refute_0_41,plain,
( skolemFOFtoCNF_Y21(X11) != skolemFOFtoCNF_Y21(X11)
| r2(X11,skolemFOFtoCNF_Y21(X11)) ),
inference(subst,[],[refute_0_40:[bind(X12,$fot(skolemFOFtoCNF_Y21(X11)))]]) ).
cnf(refute_0_42,plain,
skolemFOFtoCNF_Y21(X11) = skolemFOFtoCNF_Y21(X11),
introduced(tautology,[refl,[$fot(skolemFOFtoCNF_Y21(X11))]]) ).
cnf(refute_0_43,plain,
r2(X11,skolemFOFtoCNF_Y21(X11)),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y21(X11),skolemFOFtoCNF_Y21(X11)) )],[refute_0_42,refute_0_41]) ).
cnf(refute_0_44,plain,
r2(X_44,skolemFOFtoCNF_Y21(X_44)),
inference(subst,[],[refute_0_43:[bind(X11,$fot(X_44))]]) ).
cnf(refute_0_45,plain,
( Y20 != Y10
| ~ r1(Y20)
| ~ r2(X7,Y10) ),
inference(canonicalize,[],[normalize_0_31]) ).
cnf(refute_0_46,plain,
( Y10 != Y10
| ~ r1(Y10)
| ~ r2(X7,Y10) ),
inference(subst,[],[refute_0_45:[bind(Y20,$fot(Y10))]]) ).
cnf(refute_0_47,plain,
Y10 = Y10,
introduced(tautology,[refl,[$fot(Y10)]]) ).
cnf(refute_0_48,plain,
( ~ r1(Y10)
| ~ r2(X7,Y10) ),
inference(resolve,[$cnf( $equal(Y10,Y10) )],[refute_0_47,refute_0_46]) ).
cnf(refute_0_49,plain,
( ~ r1(skolemFOFtoCNF_Y21(X_44))
| ~ r2(X_44,skolemFOFtoCNF_Y21(X_44)) ),
inference(subst,[],[refute_0_48:[bind(X7,$fot(X_44)),bind(Y10,$fot(skolemFOFtoCNF_Y21(X_44)))]]) ).
cnf(refute_0_50,plain,
~ r1(skolemFOFtoCNF_Y21(X_44)),
inference(resolve,[$cnf( r2(X_44,skolemFOFtoCNF_Y21(X_44)) )],[refute_0_44,refute_0_49]) ).
cnf(refute_0_51,plain,
~ r1(skolemFOFtoCNF_Y21(X8)),
inference(subst,[],[refute_0_50:[bind(X_44,$fot(X8))]]) ).
cnf(refute_0_52,plain,
$false,
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y21(X8)) )],[refute_0_39,refute_0_51]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.13 % Problem : NUN062+2 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.14 % Command : metis --show proof --show saturation %s
% 0.13/0.35 % Computer : n028.cluster.edu
% 0.13/0.35 % Model : x86_64 x86_64
% 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.35 % Memory : 8042.1875MB
% 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.35 % CPULimit : 300
% 0.13/0.35 % WCLimit : 600
% 0.13/0.35 % DateTime : Thu Jun 2 02:48:08 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.38 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.13/0.38
% 0.13/0.38 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 0.13/0.39
%------------------------------------------------------------------------------