TSTP Solution File: SYN334+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SYN334+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n015.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 : Thu Jul 21 09:01:26 EDT 2022
% Result : Theorem 0.19s 0.36s
% Output : CNFRefutation 0.19s
% Verified :
% SZS Type : Refutation
% Derivation depth : 36
% Number of leaves : 1
% Syntax : Number of formulae : 66 ( 8 unt; 0 def)
% Number of atoms : 187 ( 0 equ)
% Maximal formula atoms : 8 ( 2 avg)
% Number of connectives : 197 ( 76 ~; 74 |; 14 &)
% ( 21 <=>; 12 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 1 ( 1 usr; 0 con; 2-2 aty)
% Number of variables : 135 ( 6 sgn 35 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(church_46_14_6,conjecture,
? [X,Y] :
! [Z] :
( ( big_f(X,Y)
=> ( big_f(X,Z)
<=> big_g(Y,Z) ) )
=> ( ( big_f(X,Y)
<=> ( big_f(Z,Z)
=> big_g(Z,Z) ) )
=> ( big_g(X,Y)
<=> big_g(Z,Z) ) ) ) ).
fof(subgoal_0,plain,
? [X,Y] :
! [Z] :
( ( big_f(X,Y)
=> ( big_f(X,Z)
<=> big_g(Y,Z) ) )
=> ( ( big_f(X,Y)
<=> ( big_f(Z,Z)
=> big_g(Z,Z) ) )
=> ( big_g(X,Y)
<=> big_g(Z,Z) ) ) ),
inference(strip,[],[church_46_14_6]) ).
fof(negate_0_0,plain,
~ ? [X,Y] :
! [Z] :
( ( big_f(X,Y)
=> ( big_f(X,Z)
<=> big_g(Y,Z) ) )
=> ( ( big_f(X,Y)
<=> ( big_f(Z,Z)
=> big_g(Z,Z) ) )
=> ( big_g(X,Y)
<=> big_g(Z,Z) ) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X,Y] :
? [Z] :
( ( ~ big_f(X,Y)
| ( ~ big_f(X,Z)
<=> ~ big_g(Y,Z) ) )
& ( ~ big_f(X,Y)
<=> ( ~ big_g(Z,Z)
& big_f(Z,Z) ) )
& ( ~ big_g(X,Y)
<=> big_g(Z,Z) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_1,plain,
! [X,Y] :
? [Z] :
( ( ~ big_f(X,Y)
| ( ~ big_f(X,Z)
<=> ~ big_g(Y,Z) ) )
& ( ~ big_f(X,Y)
<=> ( ~ big_g(Z,Z)
& big_f(Z,Z) ) )
& ( ~ big_g(X,Y)
<=> big_g(Z,Z) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y] :
( ( ~ big_f(X,Y)
| ( ~ big_f(X,skolemFOFtoCNF_Z(X,Y))
<=> ~ big_g(Y,skolemFOFtoCNF_Z(X,Y)) ) )
& ( ~ big_f(X,Y)
<=> ( ~ big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y))
& big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ) )
& ( ~ big_g(X,Y)
<=> big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ) ),
inference(skolemize,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ~ big_f(X,Y)
<=> ( ~ big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y))
& big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
! [X,Y] :
( ( ~ big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y))
| big_f(X,Y) )
& ( big_f(X,Y)
| big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) )
& ( ~ big_f(X,Y)
| ~ big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y))
| big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ) ),
inference(clausify,[],[normalize_0_3]) ).
fof(normalize_0_5,plain,
! [X,Y] :
( ~ big_f(X,Y)
| ~ big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y))
| big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
! [X,Y] :
( big_f(X,Y)
| big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_7,plain,
! [X,Y] :
( ~ big_f(X,Y)
| ( ~ big_f(X,skolemFOFtoCNF_Z(X,Y))
<=> ~ big_g(Y,skolemFOFtoCNF_Z(X,Y)) ) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( ( ~ big_f(X,Y)
| ~ big_f(X,skolemFOFtoCNF_Z(X,Y))
| big_g(Y,skolemFOFtoCNF_Z(X,Y)) )
& ( ~ big_f(X,Y)
| ~ big_g(Y,skolemFOFtoCNF_Z(X,Y))
| big_f(X,skolemFOFtoCNF_Z(X,Y)) ) ),
inference(clausify,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X,Y] :
( ~ big_f(X,Y)
| ~ big_f(X,skolemFOFtoCNF_Z(X,Y))
| big_g(Y,skolemFOFtoCNF_Z(X,Y)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [X,Y] :
( ~ big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y))
| big_f(X,Y) ),
inference(conjunct,[],[normalize_0_4]) ).
fof(normalize_0_11,plain,
! [X,Y] :
( ~ big_g(X,Y)
<=> big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_12,plain,
! [X,Y] :
( ( ~ big_g(X,Y)
| ~ big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) )
& ( big_g(X,Y)
| big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ) ),
inference(clausify,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [X,Y] :
( big_g(X,Y)
| big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ),
inference(conjunct,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
! [X,Y] :
( ~ big_f(X,Y)
| ~ big_g(Y,skolemFOFtoCNF_Z(X,Y))
| big_f(X,skolemFOFtoCNF_Z(X,Y)) ),
inference(conjunct,[],[normalize_0_8]) ).
fof(normalize_0_15,plain,
! [X,Y] :
( ~ big_g(X,Y)
| ~ big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ),
inference(conjunct,[],[normalize_0_12]) ).
cnf(refute_0_0,plain,
( ~ big_f(X,Y)
| ~ big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y))
| big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ),
inference(canonicalize,[],[normalize_0_5]) ).
cnf(refute_0_1,plain,
( big_f(X,Y)
| big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_2,plain,
( big_f(X_28,X_29)
| big_f(skolemFOFtoCNF_Z(X_28,X_29),skolemFOFtoCNF_Z(X_28,X_29)) ),
inference(subst,[],[refute_0_1:[bind(X,$fot(X_28)),bind(Y,$fot(X_29))]]) ).
cnf(refute_0_3,plain,
( ~ big_f(X,Y)
| ~ big_f(X,skolemFOFtoCNF_Z(X,Y))
| big_g(Y,skolemFOFtoCNF_Z(X,Y)) ),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_4,plain,
( ~ big_f(skolemFOFtoCNF_Z(X_20,X_21),skolemFOFtoCNF_Z(X_20,X_21))
| ~ big_f(skolemFOFtoCNF_Z(X_20,X_21),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_20,X_21),skolemFOFtoCNF_Z(X_20,X_21)))
| big_g(skolemFOFtoCNF_Z(X_20,X_21),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_20,X_21),skolemFOFtoCNF_Z(X_20,X_21))) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(skolemFOFtoCNF_Z(X_20,X_21))),bind(Y,$fot(skolemFOFtoCNF_Z(X_20,X_21)))]]) ).
cnf(refute_0_5,plain,
( ~ big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y))
| big_f(X,Y) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_6,plain,
( ~ big_g(skolemFOFtoCNF_Z(X_6,X_7),skolemFOFtoCNF_Z(X_6,X_7))
| big_f(X_6,X_7) ),
inference(subst,[],[refute_0_5:[bind(X,$fot(X_6)),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_7,plain,
( big_g(X,Y)
| big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_8,plain,
( big_g(X_6,X_7)
| big_g(skolemFOFtoCNF_Z(X_6,X_7),skolemFOFtoCNF_Z(X_6,X_7)) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_6)),bind(Y,$fot(X_7))]]) ).
cnf(refute_0_9,plain,
( big_f(X_6,X_7)
| big_g(X_6,X_7) ),
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_Z(X_6,X_7),skolemFOFtoCNF_Z(X_6,X_7)) )],[refute_0_8,refute_0_6]) ).
cnf(refute_0_10,plain,
( big_f(X_17,skolemFOFtoCNF_Z(X_16,X_17))
| big_g(X_17,skolemFOFtoCNF_Z(X_16,X_17)) ),
inference(subst,[],[refute_0_9:[bind(X_6,$fot(X_17)),bind(X_7,$fot(skolemFOFtoCNF_Z(X_16,X_17)))]]) ).
cnf(refute_0_11,plain,
( ~ big_f(X,Y)
| ~ big_g(Y,skolemFOFtoCNF_Z(X,Y))
| big_f(X,skolemFOFtoCNF_Z(X,Y)) ),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_12,plain,
( ~ big_f(X_16,X_17)
| ~ big_g(X_17,skolemFOFtoCNF_Z(X_16,X_17))
| big_f(X_16,skolemFOFtoCNF_Z(X_16,X_17)) ),
inference(subst,[],[refute_0_11:[bind(X,$fot(X_16)),bind(Y,$fot(X_17))]]) ).
cnf(refute_0_13,plain,
( ~ big_f(X_16,X_17)
| big_f(X_16,skolemFOFtoCNF_Z(X_16,X_17))
| big_f(X_17,skolemFOFtoCNF_Z(X_16,X_17)) ),
inference(resolve,[$cnf( big_g(X_17,skolemFOFtoCNF_Z(X_16,X_17)) )],[refute_0_10,refute_0_12]) ).
cnf(refute_0_14,plain,
( ~ big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y))
| big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y))) ),
inference(subst,[],[refute_0_13:[bind(X_16,$fot(skolemFOFtoCNF_Z(X,Y))),bind(X_17,$fot(skolemFOFtoCNF_Z(X,Y)))]]) ).
cnf(refute_0_15,plain,
( big_f(X,Y)
| big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y))) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) )],[refute_0_1,refute_0_14]) ).
cnf(refute_0_16,plain,
( big_f(X_20,X_21)
| big_f(skolemFOFtoCNF_Z(X_20,X_21),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_20,X_21),skolemFOFtoCNF_Z(X_20,X_21))) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_20)),bind(Y,$fot(X_21))]]) ).
cnf(refute_0_17,plain,
( ~ big_f(skolemFOFtoCNF_Z(X_20,X_21),skolemFOFtoCNF_Z(X_20,X_21))
| big_f(X_20,X_21)
| big_g(skolemFOFtoCNF_Z(X_20,X_21),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_20,X_21),skolemFOFtoCNF_Z(X_20,X_21))) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z(X_20,X_21),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_20,X_21),skolemFOFtoCNF_Z(X_20,X_21))) )],[refute_0_16,refute_0_4]) ).
cnf(refute_0_18,plain,
( ~ big_f(skolemFOFtoCNF_Z(X_28,X_29),skolemFOFtoCNF_Z(X_28,X_29))
| big_f(X_28,X_29)
| big_g(skolemFOFtoCNF_Z(X_28,X_29),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_28,X_29),skolemFOFtoCNF_Z(X_28,X_29))) ),
inference(subst,[],[refute_0_17:[bind(X_20,$fot(X_28)),bind(X_21,$fot(X_29))]]) ).
cnf(refute_0_19,plain,
( big_f(X_28,X_29)
| big_g(skolemFOFtoCNF_Z(X_28,X_29),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_28,X_29),skolemFOFtoCNF_Z(X_28,X_29))) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z(X_28,X_29),skolemFOFtoCNF_Z(X_28,X_29)) )],[refute_0_2,refute_0_18]) ).
cnf(refute_0_20,plain,
( big_f(X_48,X_49)
| big_g(skolemFOFtoCNF_Z(X_48,X_49),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_48,X_49),skolemFOFtoCNF_Z(X_48,X_49))) ),
inference(subst,[],[refute_0_19:[bind(X_28,$fot(X_48)),bind(X_29,$fot(X_49))]]) ).
cnf(refute_0_21,plain,
( ~ big_g(X,Y)
| ~ big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ),
inference(canonicalize,[],[normalize_0_15]) ).
cnf(refute_0_22,plain,
( ~ big_g(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(X_46,X_47)))
| ~ big_g(skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(X_46,X_47))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(X_46,X_47)))) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(skolemFOFtoCNF_Z(X_46,X_47))),bind(Y,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(X_46,X_47))))]]) ).
cnf(refute_0_23,plain,
( big_f(X_44,X_45)
| big_f(skolemFOFtoCNF_Z(X_44,X_45),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_44,X_45),skolemFOFtoCNF_Z(X_44,X_45))) ),
inference(subst,[],[refute_0_15:[bind(X,$fot(X_44)),bind(Y,$fot(X_45))]]) ).
cnf(refute_0_24,plain,
( ~ big_f(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(X_32,X_33)))
| ~ big_f(skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(X_32,X_33))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(X_32,X_33))))
| big_g(skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(X_32,X_33))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(X_32,X_33)))) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Z(X_32,X_33))),bind(Y,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(X_32,X_33))))]]) ).
cnf(refute_0_25,plain,
( big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y))
| big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ),
inference(subst,[],[refute_0_9:[bind(X_6,$fot(skolemFOFtoCNF_Z(X,Y))),bind(X_7,$fot(skolemFOFtoCNF_Z(X,Y)))]]) ).
cnf(refute_0_26,plain,
( ~ big_g(X,Y)
| big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ),
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) )],[refute_0_25,refute_0_21]) ).
cnf(refute_0_27,plain,
( ~ big_g(skolemFOFtoCNF_Z(X_30,X_31),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_30,X_31),skolemFOFtoCNF_Z(X_30,X_31)))
| big_f(skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_30,X_31),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_30,X_31),skolemFOFtoCNF_Z(X_30,X_31))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_30,X_31),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_30,X_31),skolemFOFtoCNF_Z(X_30,X_31)))) ),
inference(subst,[],[refute_0_26:[bind(X,$fot(skolemFOFtoCNF_Z(X_30,X_31))),bind(Y,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_30,X_31),skolemFOFtoCNF_Z(X_30,X_31))))]]) ).
cnf(refute_0_28,plain,
( big_f(X_30,X_31)
| big_g(skolemFOFtoCNF_Z(X_30,X_31),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_30,X_31),skolemFOFtoCNF_Z(X_30,X_31))) ),
inference(subst,[],[refute_0_19:[bind(X_28,$fot(X_30)),bind(X_29,$fot(X_31))]]) ).
cnf(refute_0_29,plain,
( big_f(X_30,X_31)
| big_f(skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_30,X_31),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_30,X_31),skolemFOFtoCNF_Z(X_30,X_31))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_30,X_31),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_30,X_31),skolemFOFtoCNF_Z(X_30,X_31)))) ),
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_Z(X_30,X_31),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_30,X_31),skolemFOFtoCNF_Z(X_30,X_31))) )],[refute_0_28,refute_0_27]) ).
cnf(refute_0_30,plain,
( big_f(X_32,X_33)
| big_f(skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(X_32,X_33))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(X_32,X_33)))) ),
inference(subst,[],[refute_0_29:[bind(X_30,$fot(X_32)),bind(X_31,$fot(X_33))]]) ).
cnf(refute_0_31,plain,
( ~ big_f(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(X_32,X_33)))
| big_f(X_32,X_33)
| big_g(skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(X_32,X_33))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(X_32,X_33)))) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(X_32,X_33))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_32,X_33),skolemFOFtoCNF_Z(X_32,X_33)))) )],[refute_0_30,refute_0_24]) ).
cnf(refute_0_32,plain,
( ~ big_f(skolemFOFtoCNF_Z(X_44,X_45),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_44,X_45),skolemFOFtoCNF_Z(X_44,X_45)))
| big_f(X_44,X_45)
| big_g(skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_44,X_45),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_44,X_45),skolemFOFtoCNF_Z(X_44,X_45))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_44,X_45),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_44,X_45),skolemFOFtoCNF_Z(X_44,X_45)))) ),
inference(subst,[],[refute_0_31:[bind(X_32,$fot(X_44)),bind(X_33,$fot(X_45))]]) ).
cnf(refute_0_33,plain,
( big_f(X_44,X_45)
| big_g(skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_44,X_45),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_44,X_45),skolemFOFtoCNF_Z(X_44,X_45))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_44,X_45),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_44,X_45),skolemFOFtoCNF_Z(X_44,X_45)))) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z(X_44,X_45),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_44,X_45),skolemFOFtoCNF_Z(X_44,X_45))) )],[refute_0_23,refute_0_32]) ).
cnf(refute_0_34,plain,
( big_f(X_46,X_47)
| big_g(skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(X_46,X_47))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(X_46,X_47)))) ),
inference(subst,[],[refute_0_33:[bind(X_44,$fot(X_46)),bind(X_45,$fot(X_47))]]) ).
cnf(refute_0_35,plain,
( ~ big_g(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(X_46,X_47)))
| big_f(X_46,X_47) ),
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(X_46,X_47))),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_46,X_47),skolemFOFtoCNF_Z(X_46,X_47)))) )],[refute_0_34,refute_0_22]) ).
cnf(refute_0_36,plain,
( ~ big_g(skolemFOFtoCNF_Z(X_48,X_49),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_48,X_49),skolemFOFtoCNF_Z(X_48,X_49)))
| big_f(X_48,X_49) ),
inference(subst,[],[refute_0_35:[bind(X_46,$fot(X_48)),bind(X_47,$fot(X_49))]]) ).
cnf(refute_0_37,plain,
big_f(X_48,X_49),
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_Z(X_48,X_49),skolemFOFtoCNF_Z(skolemFOFtoCNF_Z(X_48,X_49),skolemFOFtoCNF_Z(X_48,X_49))) )],[refute_0_20,refute_0_36]) ).
cnf(refute_0_38,plain,
big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)),
inference(subst,[],[refute_0_37:[bind(X_48,$fot(skolemFOFtoCNF_Z(X,Y))),bind(X_49,$fot(skolemFOFtoCNF_Z(X,Y)))]]) ).
cnf(refute_0_39,plain,
( ~ big_f(X,Y)
| big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) ),
inference(resolve,[$cnf( big_f(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) )],[refute_0_38,refute_0_0]) ).
cnf(refute_0_40,plain,
big_f(X,Y),
inference(subst,[],[refute_0_37:[bind(X_48,$fot(X)),bind(X_49,$fot(Y))]]) ).
cnf(refute_0_41,plain,
big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)),
inference(resolve,[$cnf( big_f(X,Y) )],[refute_0_40,refute_0_39]) ).
cnf(refute_0_42,plain,
( ~ big_g(X_54,X_55)
| ~ big_g(skolemFOFtoCNF_Z(X_54,X_55),skolemFOFtoCNF_Z(X_54,X_55)) ),
inference(subst,[],[refute_0_21:[bind(X,$fot(X_54)),bind(Y,$fot(X_55))]]) ).
cnf(refute_0_43,plain,
big_g(skolemFOFtoCNF_Z(X_54,X_55),skolemFOFtoCNF_Z(X_54,X_55)),
inference(subst,[],[refute_0_41:[bind(X,$fot(X_54)),bind(Y,$fot(X_55))]]) ).
cnf(refute_0_44,plain,
~ big_g(X_54,X_55),
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_Z(X_54,X_55),skolemFOFtoCNF_Z(X_54,X_55)) )],[refute_0_43,refute_0_42]) ).
cnf(refute_0_45,plain,
~ big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)),
inference(subst,[],[refute_0_44:[bind(X_54,$fot(skolemFOFtoCNF_Z(X,Y))),bind(X_55,$fot(skolemFOFtoCNF_Z(X,Y)))]]) ).
cnf(refute_0_46,plain,
$false,
inference(resolve,[$cnf( big_g(skolemFOFtoCNF_Z(X,Y),skolemFOFtoCNF_Z(X,Y)) )],[refute_0_41,refute_0_45]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN334+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n015.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 : Mon Jul 11 20:31:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.34 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.19/0.36 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.19/0.36
% 0.19/0.36 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.19/0.37
%------------------------------------------------------------------------------