TSTP Solution File: SWV411+1 by Metis---2.4
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- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SWV411+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n012.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 : Wed Jul 20 20:31:32 EDT 2022
% Result : Theorem 0.20s 0.42s
% Output : CNFRefutation 0.20s
% Verified :
% SZS Type : Refutation
% Derivation depth : 19
% Number of leaves : 10
% Syntax : Number of formulae : 58 ( 18 unt; 0 def)
% Number of atoms : 140 ( 47 equ)
% Maximal formula atoms : 11 ( 2 avg)
% Number of connectives : 144 ( 62 ~; 51 |; 16 &)
% ( 6 <=>; 9 =>; 0 <=; 0 <~>)
% Maximal formula depth : 11 ( 4 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of predicates : 5 ( 2 usr; 1 prp; 0-3 aty)
% Number of functors : 7 ( 7 usr; 4 con; 0-2 aty)
% Number of variables : 130 ( 13 sgn 76 !; 20 ?)
% Comments :
%------------------------------------------------------------------------------
fof(ax21,axiom,
! [U,V,W,X] :
( contains_slb(insert_slb(U,pair(V,X)),W)
<=> ( contains_slb(U,W)
| V = W ) ) ).
fof(ax23,axiom,
! [U,V,W,X,Y] :
( pair_in_list(insert_slb(U,pair(V,X)),W,Y)
<=> ( pair_in_list(U,W,Y)
| ( V = W
& X = Y ) ) ) ).
fof(l47_co,conjecture,
! [U] :
( ! [V] :
( contains_slb(U,V)
=> ? [W] : pair_in_list(U,V,W) )
=> ! [X,Y,Z] :
( contains_slb(insert_slb(U,pair(Y,Z)),X)
=> ? [X1] : pair_in_list(insert_slb(U,pair(Y,Z)),X,X1) ) ) ).
fof(subgoal_0,plain,
! [U] :
( ! [V] :
( contains_slb(U,V)
=> ? [W] : pair_in_list(U,V,W) )
=> ! [X,Y,Z] :
( contains_slb(insert_slb(U,pair(Y,Z)),X)
=> ? [X1] : pair_in_list(insert_slb(U,pair(Y,Z)),X,X1) ) ),
inference(strip,[],[l47_co]) ).
fof(negate_0_0,plain,
~ ! [U] :
( ! [V] :
( contains_slb(U,V)
=> ? [W] : pair_in_list(U,V,W) )
=> ! [X,Y,Z] :
( contains_slb(insert_slb(U,pair(Y,Z)),X)
=> ? [X1] : pair_in_list(insert_slb(U,pair(Y,Z)),X,X1) ) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [U,V,W,X,Y] :
( ~ pair_in_list(insert_slb(U,pair(V,X)),W,Y)
<=> ( ~ pair_in_list(U,W,Y)
& ( V != W
| X != Y ) ) ),
inference(canonicalize,[],[ax23]) ).
fof(normalize_0_1,plain,
! [U,V,W,X,Y] :
( ~ pair_in_list(insert_slb(U,pair(V,X)),W,Y)
<=> ( ~ pair_in_list(U,W,Y)
& ( V != W
| X != Y ) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [U,V,W,X,Y] :
( ( ~ pair_in_list(U,W,Y)
| pair_in_list(insert_slb(U,pair(V,X)),W,Y) )
& ( V != W
| X != Y
| pair_in_list(insert_slb(U,pair(V,X)),W,Y) )
& ( ~ pair_in_list(insert_slb(U,pair(V,X)),W,Y)
| V = W
| pair_in_list(U,W,Y) )
& ( ~ pair_in_list(insert_slb(U,pair(V,X)),W,Y)
| X = Y
| pair_in_list(U,W,Y) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [U,V,W,X,Y] :
( V != W
| X != Y
| pair_in_list(insert_slb(U,pair(V,X)),W,Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [U] :
( ? [X,Y,Z] :
( contains_slb(insert_slb(U,pair(Y,Z)),X)
& ! [X1] : ~ pair_in_list(insert_slb(U,pair(Y,Z)),X,X1) )
& ! [V] :
( ~ contains_slb(U,V)
| ? [W] : pair_in_list(U,V,W) ) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
( ? [X,Y,Z] :
( contains_slb(insert_slb(skolemFOFtoCNF_U,pair(Y,Z)),X)
& ! [X1] : ~ pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(Y,Z)),X,X1) )
& ! [V] :
( ~ contains_slb(skolemFOFtoCNF_U,V)
| ? [W] : pair_in_list(skolemFOFtoCNF_U,V,W) ) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
? [X,Y,Z] :
( contains_slb(insert_slb(skolemFOFtoCNF_U,pair(Y,Z)),X)
& ! [X1] : ~ pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(Y,Z)),X,X1) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
( contains_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X)
& ! [X1] : ~ pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,X1) ),
inference(skolemize,[],[normalize_0_6]) ).
fof(normalize_0_8,plain,
! [X1] : ~ pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,X1),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_9,plain,
! [X1] : ~ pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,X1),
inference(specialize,[],[normalize_0_8]) ).
fof(normalize_0_10,plain,
! [U,V,W,X,Y] :
( ~ pair_in_list(U,W,Y)
| pair_in_list(insert_slb(U,pair(V,X)),W,Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_11,plain,
! [V] :
( ~ contains_slb(skolemFOFtoCNF_U,V)
| ? [W] : pair_in_list(skolemFOFtoCNF_U,V,W) ),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_12,plain,
! [V] :
( ~ contains_slb(skolemFOFtoCNF_U,V)
| ? [W] : pair_in_list(skolemFOFtoCNF_U,V,W) ),
inference(specialize,[],[normalize_0_11]) ).
fof(normalize_0_13,plain,
! [V] :
( ~ contains_slb(skolemFOFtoCNF_U,V)
| pair_in_list(skolemFOFtoCNF_U,V,skolemFOFtoCNF_W(V)) ),
inference(clausify,[],[normalize_0_12]) ).
fof(normalize_0_14,plain,
contains_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_7]) ).
fof(normalize_0_15,plain,
! [U,V,W,X] :
( ~ contains_slb(insert_slb(U,pair(V,X)),W)
<=> ( V != W
& ~ contains_slb(U,W) ) ),
inference(canonicalize,[],[ax21]) ).
fof(normalize_0_16,plain,
! [U,V,W,X] :
( ~ contains_slb(insert_slb(U,pair(V,X)),W)
<=> ( V != W
& ~ contains_slb(U,W) ) ),
inference(specialize,[],[normalize_0_15]) ).
fof(normalize_0_17,plain,
! [U,V,W,X] :
( ( V != W
| contains_slb(insert_slb(U,pair(V,X)),W) )
& ( ~ contains_slb(U,W)
| contains_slb(insert_slb(U,pair(V,X)),W) )
& ( ~ contains_slb(insert_slb(U,pair(V,X)),W)
| V = W
| contains_slb(U,W) ) ),
inference(clausify,[],[normalize_0_16]) ).
fof(normalize_0_18,plain,
! [U,V,W,X] :
( ~ contains_slb(insert_slb(U,pair(V,X)),W)
| V = W
| contains_slb(U,W) ),
inference(conjunct,[],[normalize_0_17]) ).
cnf(refute_0_0,plain,
( V != W
| X != Y
| pair_in_list(insert_slb(U,pair(V,X)),W,Y) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( W != W
| Y != Y
| pair_in_list(insert_slb(U,pair(W,Y)),W,Y) ),
inference(subst,[],[refute_0_0:[bind(V,$fot(W)),bind(X,$fot(Y))]]) ).
cnf(refute_0_2,plain,
W = W,
introduced(tautology,[refl,[$fot(W)]]) ).
cnf(refute_0_3,plain,
( Y != Y
| pair_in_list(insert_slb(U,pair(W,Y)),W,Y) ),
inference(resolve,[$cnf( $equal(W,W) )],[refute_0_2,refute_0_1]) ).
cnf(refute_0_4,plain,
Y = Y,
introduced(tautology,[refl,[$fot(Y)]]) ).
cnf(refute_0_5,plain,
pair_in_list(insert_slb(U,pair(W,Y)),W,Y),
inference(resolve,[$cnf( $equal(Y,Y) )],[refute_0_4,refute_0_3]) ).
cnf(refute_0_6,plain,
pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,skolemFOFtoCNF_Z),
inference(subst,[],[refute_0_5:[bind(U,$fot(skolemFOFtoCNF_U)),bind(W,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_7,plain,
~ pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,X1),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_8,plain,
~ pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,skolemFOFtoCNF_W(skolemFOFtoCNF_X)),
inference(subst,[],[refute_0_7:[bind(X1,$fot(skolemFOFtoCNF_W(skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_9,plain,
( ~ pair_in_list(U,W,Y)
| pair_in_list(insert_slb(U,pair(V,X)),W,Y) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_10,plain,
( ~ pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_X,skolemFOFtoCNF_W(skolemFOFtoCNF_X))
| pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(V,X)),skolemFOFtoCNF_X,skolemFOFtoCNF_W(skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_9:[bind(U,$fot(skolemFOFtoCNF_U)),bind(W,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_W(skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_11,plain,
( ~ contains_slb(skolemFOFtoCNF_U,V)
| pair_in_list(skolemFOFtoCNF_U,V,skolemFOFtoCNF_W(V)) ),
inference(canonicalize,[],[normalize_0_13]) ).
cnf(refute_0_12,plain,
( ~ contains_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X)
| pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_X,skolemFOFtoCNF_W(skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_11:[bind(V,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_13,plain,
contains_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_14]) ).
cnf(refute_0_14,plain,
( ~ contains_slb(insert_slb(U,pair(V,X)),W)
| V = W
| contains_slb(U,W) ),
inference(canonicalize,[],[normalize_0_18]) ).
cnf(refute_0_15,plain,
( ~ contains_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X)
| skolemFOFtoCNF_Y = skolemFOFtoCNF_X
| contains_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_14:[bind(U,$fot(skolemFOFtoCNF_U)),bind(V,$fot(skolemFOFtoCNF_Y)),bind(W,$fot(skolemFOFtoCNF_X)),bind(X,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_16,plain,
( skolemFOFtoCNF_Y = skolemFOFtoCNF_X
| contains_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( contains_slb(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X) )],[refute_0_13,refute_0_15]) ).
cnf(refute_0_17,plain,
( skolemFOFtoCNF_Y = skolemFOFtoCNF_X
| pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_X,skolemFOFtoCNF_W(skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( contains_slb(skolemFOFtoCNF_U,skolemFOFtoCNF_X) )],[refute_0_16,refute_0_12]) ).
cnf(refute_0_18,plain,
( skolemFOFtoCNF_Y = skolemFOFtoCNF_X
| pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(V,X)),skolemFOFtoCNF_X,skolemFOFtoCNF_W(skolemFOFtoCNF_X)) ),
inference(resolve,[$cnf( pair_in_list(skolemFOFtoCNF_U,skolemFOFtoCNF_X,skolemFOFtoCNF_W(skolemFOFtoCNF_X)) )],[refute_0_17,refute_0_10]) ).
cnf(refute_0_19,plain,
( skolemFOFtoCNF_Y = skolemFOFtoCNF_X
| pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,skolemFOFtoCNF_W(skolemFOFtoCNF_X)) ),
inference(subst,[],[refute_0_18:[bind(V,$fot(skolemFOFtoCNF_Y)),bind(X,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_20,plain,
skolemFOFtoCNF_Y = skolemFOFtoCNF_X,
inference(resolve,[$cnf( pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,skolemFOFtoCNF_W(skolemFOFtoCNF_X)) )],[refute_0_19,refute_0_8]) ).
cnf(refute_0_21,plain,
pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) = pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z),
introduced(tautology,[refl,[$fot(pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_22,plain,
( pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) != pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)
| skolemFOFtoCNF_Y != skolemFOFtoCNF_X
| pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) = pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z) ),
introduced(tautology,[equality,[$cnf( $equal(pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z),pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)) ),[1,0],$fot(skolemFOFtoCNF_X)]]) ).
cnf(refute_0_23,plain,
( skolemFOFtoCNF_Y != skolemFOFtoCNF_X
| pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) = pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z) ),
inference(resolve,[$cnf( $equal(pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z),pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)) )],[refute_0_21,refute_0_22]) ).
cnf(refute_0_24,plain,
pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) = pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z),
inference(resolve,[$cnf( $equal(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) )],[refute_0_20,refute_0_23]) ).
cnf(refute_0_25,plain,
insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)) = insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),
introduced(tautology,[refl,[$fot(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)))]]) ).
cnf(refute_0_26,plain,
( pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) != pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z)
| insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)) != insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z))
| insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)) = insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z)) ),
introduced(tautology,[equality,[$cnf( $equal(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z))) ),[1,1],$fot(pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_27,plain,
( pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z) != pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z)
| insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)) = insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z)) ),
inference(resolve,[$cnf( $equal(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z))) )],[refute_0_25,refute_0_26]) ).
cnf(refute_0_28,plain,
insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)) = insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z)),
inference(resolve,[$cnf( $equal(pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z),pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z)) )],[refute_0_24,refute_0_27]) ).
cnf(refute_0_29,plain,
( insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)) != insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z))
| ~ pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,X1)
| pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,X1) ),
introduced(tautology,[equality,[$cnf( ~ pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,X1) ),[0],$fot(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z)))]]) ).
cnf(refute_0_30,plain,
( ~ pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,X1)
| pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,X1) ),
inference(resolve,[$cnf( $equal(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z))) )],[refute_0_28,refute_0_29]) ).
cnf(refute_0_31,plain,
~ pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,X1),
inference(resolve,[$cnf( pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_Y,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,X1) )],[refute_0_30,refute_0_7]) ).
cnf(refute_0_32,plain,
~ pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,skolemFOFtoCNF_Z),
inference(subst,[],[refute_0_31:[bind(X1,$fot(skolemFOFtoCNF_Z))]]) ).
cnf(refute_0_33,plain,
$false,
inference(resolve,[$cnf( pair_in_list(insert_slb(skolemFOFtoCNF_U,pair(skolemFOFtoCNF_X,skolemFOFtoCNF_Z)),skolemFOFtoCNF_X,skolemFOFtoCNF_Z) )],[refute_0_6,refute_0_32]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SWV411+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n012.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 : Wed Jun 15 23:20:54 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.20/0.42 % SZS status Theorem for /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.20/0.42
% 0.20/0.42 % SZS output start CNFRefutation for /export/starexec/sandbox/benchmark/theBenchmark.p
% See solution above
% 0.20/0.42
%------------------------------------------------------------------------------