TSTP Solution File: NUN089+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : NUN089+1 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n023.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 16:34:58 EDT 2022
% Result : Theorem 6.64s 6.80s
% Output : CNFRefutation 6.64s
% Verified :
% SZS Type : Refutation
% Derivation depth : 20
% Number of leaves : 7
% Syntax : Number of formulae : 88 ( 22 unt; 0 def)
% Number of atoms : 233 ( 0 equ)
% Maximal formula atoms : 6 ( 2 avg)
% Number of connectives : 256 ( 111 ~; 78 |; 63 &)
% ( 0 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 6 ( 5 usr; 1 prp; 0-3 aty)
% Number of functors : 8 ( 8 usr; 4 con; 0-2 aty)
% Number of variables : 153 ( 13 sgn 82 !; 35 ?)
% Comments :
%------------------------------------------------------------------------------
fof(axiom_1,axiom,
? [Y24] :
! [X19] :
( ( id(X19,Y24)
& r1(X19) )
| ( ~ r1(X19)
& ~ id(X19,Y24) ) ) ).
fof(axiom_2,axiom,
! [X11] :
? [Y21] :
! [X12] :
( ( id(X12,Y21)
& r2(X11,X12) )
| ( ~ r2(X11,X12)
& ~ id(X12,Y21) ) ) ).
fof(axiom_6,axiom,
! [X21,X22] :
( ~ id(X21,X22)
| id(X22,X21) ) ).
fof(axiom_8,axiom,
! [X26,X27] :
( ~ id(X26,X27)
| ( ~ r1(X26)
& ~ r1(X27) )
| ( r1(X26)
& r1(X27) ) ) ).
fof(axiom_2a,axiom,
! [X2,X9] :
? [Y2] :
( ? [Y3] :
( id(Y3,Y2)
& ? [Y14] :
( r2(X9,Y14)
& r4(X2,Y14,Y3) ) )
& ? [Y6] :
( r3(Y6,X2,Y2)
& r4(X2,X9,Y6) ) ) ).
fof(axiom_7a,axiom,
! [X7,Y10] :
( ! [Y20] :
( ~ id(Y20,Y10)
| ~ r1(Y20) )
| ~ r2(X7,Y10) ) ).
fof(zerounidtwo,conjecture,
! [Y1] :
( ! [Y2] :
( ! [Y3] :
( ~ r1(Y3)
| ~ r2(Y3,Y2) )
| ~ r2(Y2,Y1) )
| ! [Y4] :
( ~ id(Y4,Y1)
| ~ r1(Y4) ) ) ).
fof(subgoal_0,plain,
! [Y1] :
( ~ ! [Y2] :
( ! [Y3] :
( ~ r1(Y3)
| ~ r2(Y3,Y2) )
| ~ r2(Y2,Y1) )
=> ! [Y4] :
( ~ ~ id(Y4,Y1)
=> ~ r1(Y4) ) ),
inference(strip,[],[zerounidtwo]) ).
fof(negate_0_0,plain,
~ ! [Y1] :
( ~ ! [Y2] :
( ! [Y3] :
( ~ r1(Y3)
| ~ r2(Y3,Y2) )
| ~ r2(Y2,Y1) )
=> ! [Y4] :
( ~ ~ id(Y4,Y1)
=> ~ r1(Y4) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X11] :
? [Y21] :
! [X12] :
( ( ~ id(X12,Y21)
& ~ r2(X11,X12) )
| ( id(X12,Y21)
& r2(X11,X12) ) ),
inference(canonicalize,[],[axiom_2]) ).
fof(normalize_0_1,plain,
! [X11] :
? [Y21] :
! [X12] :
( ( ~ id(X12,Y21)
& ~ r2(X11,X12) )
| ( id(X12,Y21)
& r2(X11,X12) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X11,X12] :
( ( ~ id(X12,skolemFOFtoCNF_Y21(X11))
& ~ r2(X11,X12) )
| ( id(X12,skolemFOFtoCNF_Y21(X11))
& r2(X11,X12) ) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X11,X12] :
( ( ~ id(X12,skolemFOFtoCNF_Y21(X11))
& ~ r2(X11,X12) )
| ( id(X12,skolemFOFtoCNF_Y21(X11))
& r2(X11,X12) ) ),
inference(specialize,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X11,X12] :
( ( ~ id(X12,skolemFOFtoCNF_Y21(X11))
| r2(X11,X12) )
& ( ~ r2(X11,X12)
| id(X12,skolemFOFtoCNF_Y21(X11)) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X11,X12] :
( ~ id(X12,skolemFOFtoCNF_Y21(X11))
| r2(X11,X12) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X21,X22] :
( ~ id(X21,X22)
| id(X22,X21) ),
inference(canonicalize,[],[axiom_6]) ).
fof(normalize_0_7,plain,
! [X21,X22] :
( ~ id(X21,X22)
| id(X22,X21) ),
inference(specialize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
? [Y24] :
! [X19] :
( ( ~ id(X19,Y24)
& ~ r1(X19) )
| ( id(X19,Y24)
& r1(X19) ) ),
inference(canonicalize,[],[axiom_1]) ).
fof(normalize_0_9,plain,
! [X19] :
( ( ~ id(X19,skolemFOFtoCNF_Y24)
& ~ r1(X19) )
| ( id(X19,skolemFOFtoCNF_Y24)
& r1(X19) ) ),
inference(skolemize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X19] :
( ( ~ id(X19,skolemFOFtoCNF_Y24)
& ~ r1(X19) )
| ( id(X19,skolemFOFtoCNF_Y24)
& r1(X19) ) ),
inference(specialize,[],[normalize_0_9]) ).
fof(normalize_0_11,plain,
! [X19] :
( ( ~ id(X19,skolemFOFtoCNF_Y24)
| r1(X19) )
& ( ~ r1(X19)
| id(X19,skolemFOFtoCNF_Y24) ) ),
inference(clausify,[],[normalize_0_10]) ).
fof(normalize_0_12,plain,
! [X19] :
( ~ r1(X19)
| id(X19,skolemFOFtoCNF_Y24) ),
inference(conjunct,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
? [Y1] :
( ? [Y2] :
( r2(Y2,Y1)
& ? [Y3] :
( r1(Y3)
& r2(Y3,Y2) ) )
& ? [Y4] :
( id(Y4,Y1)
& r1(Y4) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_14,plain,
( ? [Y2] :
( r2(Y2,skolemFOFtoCNF_Y1_1)
& ? [Y3] :
( r1(Y3)
& r2(Y3,Y2) ) )
& ? [Y4] :
( id(Y4,skolemFOFtoCNF_Y1_1)
& r1(Y4) ) ),
inference(skolemize,[],[normalize_0_13]) ).
fof(normalize_0_15,plain,
? [Y2] :
( r2(Y2,skolemFOFtoCNF_Y1_1)
& ? [Y3] :
( r1(Y3)
& r2(Y3,Y2) ) ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_16,plain,
( r2(skolemFOFtoCNF_Y2_1,skolemFOFtoCNF_Y1_1)
& ? [Y3] :
( r1(Y3)
& r2(Y3,skolemFOFtoCNF_Y2_1) ) ),
inference(skolemize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
r2(skolemFOFtoCNF_Y2_1,skolemFOFtoCNF_Y1_1),
inference(conjunct,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [X11,X12] :
( ~ r2(X11,X12)
| id(X12,skolemFOFtoCNF_Y21(X11)) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_19,plain,
! [X26,X27] :
( ~ id(X26,X27)
| ( ~ r1(X26)
& ~ r1(X27) )
| ( r1(X26)
& r1(X27) ) ),
inference(canonicalize,[],[axiom_8]) ).
fof(normalize_0_20,plain,
! [X26,X27] :
( ~ id(X26,X27)
| ( ~ r1(X26)
& ~ r1(X27) )
| ( r1(X26)
& r1(X27) ) ),
inference(specialize,[],[normalize_0_19]) ).
fof(normalize_0_21,plain,
! [X26,X27] :
( ( ~ id(X26,X27)
| ~ r1(X26)
| r1(X27) )
& ( ~ id(X26,X27)
| ~ r1(X27)
| r1(X26) ) ),
inference(clausify,[],[normalize_0_20]) ).
fof(normalize_0_22,plain,
! [X26,X27] :
( ~ id(X26,X27)
| ~ r1(X26)
| r1(X27) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_23,plain,
? [Y4] :
( id(Y4,skolemFOFtoCNF_Y1_1)
& r1(Y4) ),
inference(conjunct,[],[normalize_0_14]) ).
fof(normalize_0_24,plain,
( id(skolemFOFtoCNF_Y4_1,skolemFOFtoCNF_Y1_1)
& r1(skolemFOFtoCNF_Y4_1) ),
inference(skolemize,[],[normalize_0_23]) ).
fof(normalize_0_25,plain,
id(skolemFOFtoCNF_Y4_1,skolemFOFtoCNF_Y1_1),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_26,plain,
r1(skolemFOFtoCNF_Y4_1),
inference(conjunct,[],[normalize_0_24]) ).
fof(normalize_0_27,plain,
! [X2,X9] :
? [Y2] :
( ? [Y3] :
( id(Y3,Y2)
& ? [Y14] :
( r2(X9,Y14)
& r4(X2,Y14,Y3) ) )
& ? [Y6] :
( r3(Y6,X2,Y2)
& r4(X2,X9,Y6) ) ),
inference(canonicalize,[],[axiom_2a]) ).
fof(normalize_0_28,plain,
! [X2,X9] :
? [Y2] :
( ? [Y3] :
( id(Y3,Y2)
& ? [Y14] :
( r2(X9,Y14)
& r4(X2,Y14,Y3) ) )
& ? [Y6] :
( r3(Y6,X2,Y2)
& r4(X2,X9,Y6) ) ),
inference(specialize,[],[normalize_0_27]) ).
fof(normalize_0_29,plain,
! [X2,X9] :
( ? [Y3] :
( id(Y3,skolemFOFtoCNF_Y2(X2,X9))
& ? [Y14] :
( r2(X9,Y14)
& r4(X2,Y14,Y3) ) )
& ? [Y6] :
( r3(Y6,X2,skolemFOFtoCNF_Y2(X2,X9))
& r4(X2,X9,Y6) ) ),
inference(skolemize,[],[normalize_0_28]) ).
fof(normalize_0_30,plain,
! [X2,X9] :
? [Y3] :
( id(Y3,skolemFOFtoCNF_Y2(X2,X9))
& ? [Y14] :
( r2(X9,Y14)
& r4(X2,Y14,Y3) ) ),
inference(conjunct,[],[normalize_0_29]) ).
fof(normalize_0_31,plain,
! [X2,X9] :
( id(skolemFOFtoCNF_Y3(X2,X9),skolemFOFtoCNF_Y2(X2,X9))
& ? [Y14] :
( r2(X9,Y14)
& r4(X2,Y14,skolemFOFtoCNF_Y3(X2,X9)) ) ),
inference(skolemize,[],[normalize_0_30]) ).
fof(normalize_0_32,plain,
! [X2,X9] :
? [Y14] :
( r2(X9,Y14)
& r4(X2,Y14,skolemFOFtoCNF_Y3(X2,X9)) ),
inference(conjunct,[],[normalize_0_31]) ).
fof(normalize_0_33,plain,
! [X2,X9] :
( r2(X9,skolemFOFtoCNF_Y14(X2,X9))
& r4(X2,skolemFOFtoCNF_Y14(X2,X9),skolemFOFtoCNF_Y3(X2,X9)) ),
inference(skolemize,[],[normalize_0_32]) ).
fof(normalize_0_34,plain,
! [X2,X9] : r2(X9,skolemFOFtoCNF_Y14(X2,X9)),
inference(conjunct,[],[normalize_0_33]) ).
fof(normalize_0_35,plain,
! [X26,X27] :
( ~ id(X26,X27)
| ~ r1(X27)
| r1(X26) ),
inference(conjunct,[],[normalize_0_21]) ).
fof(normalize_0_36,plain,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( ~ id(Y20,Y10)
| ~ r1(Y20) ) ),
inference(canonicalize,[],[axiom_7a]) ).
fof(normalize_0_37,plain,
! [X7,Y10] :
( ~ r2(X7,Y10)
| ! [Y20] :
( ~ id(Y20,Y10)
| ~ r1(Y20) ) ),
inference(specialize,[],[normalize_0_36]) ).
fof(normalize_0_38,plain,
! [X7,Y10,Y20] :
( ~ id(Y20,Y10)
| ~ r1(Y20)
| ~ r2(X7,Y10) ),
inference(clausify,[],[normalize_0_37]) ).
cnf(refute_0_0,plain,
( ~ id(X12,skolemFOFtoCNF_Y21(X11))
| r2(X11,X12) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_1,plain,
( ~ id(skolemFOFtoCNF_Y24,skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1))
| r2(skolemFOFtoCNF_Y2_1,skolemFOFtoCNF_Y24) ),
inference(subst,[],[refute_0_0:[bind(X11,$fot(skolemFOFtoCNF_Y2_1)),bind(X12,$fot(skolemFOFtoCNF_Y24))]]) ).
cnf(refute_0_2,plain,
( ~ id(X21,X22)
| id(X22,X21) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_3,plain,
( ~ id(skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1),skolemFOFtoCNF_Y24)
| id(skolemFOFtoCNF_Y24,skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1)) ),
inference(subst,[],[refute_0_2:[bind(X21,$fot(skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1))),bind(X22,$fot(skolemFOFtoCNF_Y24))]]) ).
cnf(refute_0_4,plain,
( ~ r1(X19)
| id(X19,skolemFOFtoCNF_Y24) ),
inference(canonicalize,[],[normalize_0_12]) ).
cnf(refute_0_5,plain,
( ~ r1(skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1))
| id(skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1),skolemFOFtoCNF_Y24) ),
inference(subst,[],[refute_0_4:[bind(X19,$fot(skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1)))]]) ).
cnf(refute_0_6,plain,
r2(skolemFOFtoCNF_Y2_1,skolemFOFtoCNF_Y1_1),
inference(canonicalize,[],[normalize_0_17]) ).
cnf(refute_0_7,plain,
( ~ r2(X11,X12)
| id(X12,skolemFOFtoCNF_Y21(X11)) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_8,plain,
( ~ r2(skolemFOFtoCNF_Y2_1,skolemFOFtoCNF_Y1_1)
| id(skolemFOFtoCNF_Y1_1,skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1)) ),
inference(subst,[],[refute_0_7:[bind(X11,$fot(skolemFOFtoCNF_Y2_1)),bind(X12,$fot(skolemFOFtoCNF_Y1_1))]]) ).
cnf(refute_0_9,plain,
id(skolemFOFtoCNF_Y1_1,skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1)),
inference(resolve,[$cnf( r2(skolemFOFtoCNF_Y2_1,skolemFOFtoCNF_Y1_1) )],[refute_0_6,refute_0_8]) ).
cnf(refute_0_10,plain,
( ~ id(X26,X27)
| ~ r1(X26)
| r1(X27) ),
inference(canonicalize,[],[normalize_0_22]) ).
cnf(refute_0_11,plain,
( ~ id(skolemFOFtoCNF_Y1_1,skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1))
| ~ r1(skolemFOFtoCNF_Y1_1)
| r1(skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1)) ),
inference(subst,[],[refute_0_10:[bind(X26,$fot(skolemFOFtoCNF_Y1_1)),bind(X27,$fot(skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1)))]]) ).
cnf(refute_0_12,plain,
( ~ r1(skolemFOFtoCNF_Y1_1)
| r1(skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1)) ),
inference(resolve,[$cnf( id(skolemFOFtoCNF_Y1_1,skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1)) )],[refute_0_9,refute_0_11]) ).
cnf(refute_0_13,plain,
id(skolemFOFtoCNF_Y4_1,skolemFOFtoCNF_Y1_1),
inference(canonicalize,[],[normalize_0_25]) ).
cnf(refute_0_14,plain,
( ~ id(skolemFOFtoCNF_Y4_1,skolemFOFtoCNF_Y1_1)
| ~ r1(skolemFOFtoCNF_Y4_1)
| r1(skolemFOFtoCNF_Y1_1) ),
inference(subst,[],[refute_0_10:[bind(X26,$fot(skolemFOFtoCNF_Y4_1)),bind(X27,$fot(skolemFOFtoCNF_Y1_1))]]) ).
cnf(refute_0_15,plain,
( ~ r1(skolemFOFtoCNF_Y4_1)
| r1(skolemFOFtoCNF_Y1_1) ),
inference(resolve,[$cnf( id(skolemFOFtoCNF_Y4_1,skolemFOFtoCNF_Y1_1) )],[refute_0_13,refute_0_14]) ).
cnf(refute_0_16,plain,
r1(skolemFOFtoCNF_Y4_1),
inference(canonicalize,[],[normalize_0_26]) ).
cnf(refute_0_17,plain,
r1(skolemFOFtoCNF_Y1_1),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y4_1) )],[refute_0_16,refute_0_15]) ).
cnf(refute_0_18,plain,
r1(skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1)),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y1_1) )],[refute_0_17,refute_0_12]) ).
cnf(refute_0_19,plain,
id(skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1),skolemFOFtoCNF_Y24),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1)) )],[refute_0_18,refute_0_5]) ).
cnf(refute_0_20,plain,
id(skolemFOFtoCNF_Y24,skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1)),
inference(resolve,[$cnf( id(skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1),skolemFOFtoCNF_Y24) )],[refute_0_19,refute_0_3]) ).
cnf(refute_0_21,plain,
r2(skolemFOFtoCNF_Y2_1,skolemFOFtoCNF_Y24),
inference(resolve,[$cnf( id(skolemFOFtoCNF_Y24,skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1)) )],[refute_0_20,refute_0_1]) ).
cnf(refute_0_22,plain,
( ~ r1(skolemFOFtoCNF_Y14(X_168,skolemFOFtoCNF_Y2_1))
| id(skolemFOFtoCNF_Y14(X_168,skolemFOFtoCNF_Y2_1),skolemFOFtoCNF_Y24) ),
inference(subst,[],[refute_0_4:[bind(X19,$fot(skolemFOFtoCNF_Y14(X_168,skolemFOFtoCNF_Y2_1)))]]) ).
cnf(refute_0_23,plain,
r2(X9,skolemFOFtoCNF_Y14(X2,X9)),
inference(canonicalize,[],[normalize_0_34]) ).
cnf(refute_0_24,plain,
r2(X_52,skolemFOFtoCNF_Y14(X2,X_52)),
inference(subst,[],[refute_0_23:[bind(X9,$fot(X_52))]]) ).
cnf(refute_0_25,plain,
( ~ r2(X_52,skolemFOFtoCNF_Y14(X2,X_52))
| id(skolemFOFtoCNF_Y14(X2,X_52),skolemFOFtoCNF_Y21(X_52)) ),
inference(subst,[],[refute_0_7:[bind(X11,$fot(X_52)),bind(X12,$fot(skolemFOFtoCNF_Y14(X2,X_52)))]]) ).
cnf(refute_0_26,plain,
id(skolemFOFtoCNF_Y14(X2,X_52),skolemFOFtoCNF_Y21(X_52)),
inference(resolve,[$cnf( r2(X_52,skolemFOFtoCNF_Y14(X2,X_52)) )],[refute_0_24,refute_0_25]) ).
cnf(refute_0_27,plain,
( ~ id(X26,X27)
| ~ r1(X27)
| r1(X26) ),
inference(canonicalize,[],[normalize_0_35]) ).
cnf(refute_0_28,plain,
( ~ id(skolemFOFtoCNF_Y14(X2,X_52),skolemFOFtoCNF_Y21(X_52))
| ~ r1(skolemFOFtoCNF_Y21(X_52))
| r1(skolemFOFtoCNF_Y14(X2,X_52)) ),
inference(subst,[],[refute_0_27:[bind(X26,$fot(skolemFOFtoCNF_Y14(X2,X_52))),bind(X27,$fot(skolemFOFtoCNF_Y21(X_52)))]]) ).
cnf(refute_0_29,plain,
( ~ r1(skolemFOFtoCNF_Y21(X_52))
| r1(skolemFOFtoCNF_Y14(X2,X_52)) ),
inference(resolve,[$cnf( id(skolemFOFtoCNF_Y14(X2,X_52),skolemFOFtoCNF_Y21(X_52)) )],[refute_0_26,refute_0_28]) ).
cnf(refute_0_30,plain,
( ~ r1(skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1))
| r1(skolemFOFtoCNF_Y14(X_166,skolemFOFtoCNF_Y2_1)) ),
inference(subst,[],[refute_0_29:[bind(X2,$fot(X_166)),bind(X_52,$fot(skolemFOFtoCNF_Y2_1))]]) ).
cnf(refute_0_31,plain,
r1(skolemFOFtoCNF_Y14(X_166,skolemFOFtoCNF_Y2_1)),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y21(skolemFOFtoCNF_Y2_1)) )],[refute_0_18,refute_0_30]) ).
cnf(refute_0_32,plain,
r1(skolemFOFtoCNF_Y14(X_168,skolemFOFtoCNF_Y2_1)),
inference(subst,[],[refute_0_31:[bind(X_166,$fot(X_168))]]) ).
cnf(refute_0_33,plain,
id(skolemFOFtoCNF_Y14(X_168,skolemFOFtoCNF_Y2_1),skolemFOFtoCNF_Y24),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y14(X_168,skolemFOFtoCNF_Y2_1)) )],[refute_0_32,refute_0_22]) ).
cnf(refute_0_34,plain,
( ~ id(Y20,Y10)
| ~ r1(Y20)
| ~ r2(X7,Y10) ),
inference(canonicalize,[],[normalize_0_38]) ).
cnf(refute_0_35,plain,
( ~ id(skolemFOFtoCNF_Y14(X_168,skolemFOFtoCNF_Y2_1),skolemFOFtoCNF_Y24)
| ~ r1(skolemFOFtoCNF_Y14(X_168,skolemFOFtoCNF_Y2_1))
| ~ r2(X_1134,skolemFOFtoCNF_Y24) ),
inference(subst,[],[refute_0_34:[bind(X7,$fot(X_1134)),bind(Y10,$fot(skolemFOFtoCNF_Y24)),bind(Y20,$fot(skolemFOFtoCNF_Y14(X_168,skolemFOFtoCNF_Y2_1)))]]) ).
cnf(refute_0_36,plain,
( ~ r1(skolemFOFtoCNF_Y14(X_168,skolemFOFtoCNF_Y2_1))
| ~ r2(X_1134,skolemFOFtoCNF_Y24) ),
inference(resolve,[$cnf( id(skolemFOFtoCNF_Y14(X_168,skolemFOFtoCNF_Y2_1),skolemFOFtoCNF_Y24) )],[refute_0_33,refute_0_35]) ).
cnf(refute_0_37,plain,
~ r2(X_1134,skolemFOFtoCNF_Y24),
inference(resolve,[$cnf( r1(skolemFOFtoCNF_Y14(X_168,skolemFOFtoCNF_Y2_1)) )],[refute_0_32,refute_0_36]) ).
cnf(refute_0_38,plain,
~ r2(skolemFOFtoCNF_Y2_1,skolemFOFtoCNF_Y24),
inference(subst,[],[refute_0_37:[bind(X_1134,$fot(skolemFOFtoCNF_Y2_1))]]) ).
cnf(refute_0_39,plain,
$false,
inference(resolve,[$cnf( r2(skolemFOFtoCNF_Y2_1,skolemFOFtoCNF_Y24) )],[refute_0_21,refute_0_38]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUN089+1 : TPTP v8.1.0. Released v7.3.0.
% 0.07/0.12 % Command : metis --show proof --show saturation %s
% 0.12/0.33 % Computer : n023.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
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 2 03:13:26 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.12/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 6.64/6.80 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.64/6.80
% 6.64/6.80 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 6.64/6.80
%------------------------------------------------------------------------------