TSTP Solution File: SET047+1 by Metis---2.4
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : Metis---2.4
% Problem : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : metis --show proof --show saturation %s
% Computer : n019.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 : Tue Jul 19 03:31:48 EDT 2022
% Result : Theorem 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : Refutation
% Derivation depth : 14
% Number of leaves : 2
% Syntax : Number of formulae : 73 ( 16 unt; 0 def)
% Number of atoms : 183 ( 0 equ)
% Maximal formula atoms : 12 ( 2 avg)
% Number of connectives : 186 ( 76 ~; 85 |; 10 &)
% ( 11 <=>; 4 =>; 0 <=; 0 <~>)
% Maximal formula depth : 10 ( 4 avg)
% Maximal term depth : 2 ( 1 avg)
% Number of predicates : 3 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 5 ( 5 usr; 4 con; 0-2 aty)
% Number of variables : 92 ( 0 sgn 47 !; 8 ?)
% Comments :
%------------------------------------------------------------------------------
fof(pel43_1,axiom,
! [X,Y] :
( set_equal(X,Y)
<=> ! [Z] :
( element(Z,X)
<=> element(Z,Y) ) ) ).
fof(pel43,conjecture,
! [X,Y] :
( set_equal(X,Y)
<=> set_equal(Y,X) ) ).
fof(subgoal_0,plain,
! [X,Y] :
( set_equal(X,Y)
=> set_equal(Y,X) ),
inference(strip,[],[pel43]) ).
fof(subgoal_1,plain,
! [X,Y] :
( set_equal(Y,X)
=> set_equal(X,Y) ),
inference(strip,[],[pel43]) ).
fof(negate_0_0,plain,
~ ! [X,Y] :
( set_equal(X,Y)
=> set_equal(Y,X) ),
inference(negate,[],[subgoal_0]) ).
fof(normalize_0_0,plain,
! [X,Y] :
( ~ set_equal(X,Y)
<=> ? [Z] :
( ~ element(Z,X)
<=> element(Z,Y) ) ),
inference(canonicalize,[],[pel43_1]) ).
fof(normalize_0_1,plain,
! [X,Y] :
( ~ set_equal(X,Y)
<=> ? [Z] :
( ~ element(Z,X)
<=> element(Z,Y) ) ),
inference(specialize,[],[normalize_0_0]) ).
fof(normalize_0_2,plain,
! [X,Y,Z] :
( ( ~ element(Z,X)
| ~ set_equal(X,Y)
| element(Z,Y) )
& ( ~ element(Z,Y)
| ~ set_equal(X,Y)
| element(Z,X) )
& ( ~ element(skolemFOFtoCNF_Z(X,Y),X)
| ~ element(skolemFOFtoCNF_Z(X,Y),Y)
| set_equal(X,Y) )
& ( element(skolemFOFtoCNF_Z(X,Y),X)
| element(skolemFOFtoCNF_Z(X,Y),Y)
| set_equal(X,Y) ) ),
inference(clausify,[],[normalize_0_1]) ).
fof(normalize_0_3,plain,
! [X,Y] :
( ~ element(skolemFOFtoCNF_Z(X,Y),X)
| ~ element(skolemFOFtoCNF_Z(X,Y),Y)
| set_equal(X,Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_4,plain,
? [X,Y] :
( ~ set_equal(Y,X)
& set_equal(X,Y) ),
inference(canonicalize,[],[negate_0_0]) ).
fof(normalize_0_5,plain,
( ~ set_equal(skolemFOFtoCNF_Y,skolemFOFtoCNF_X)
& set_equal(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) ),
inference(skolemize,[],[normalize_0_4]) ).
fof(normalize_0_6,plain,
set_equal(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_7,plain,
! [X,Y,Z] :
( ~ element(Z,X)
| ~ set_equal(X,Y)
| element(Z,Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_8,plain,
! [X,Y] :
( element(skolemFOFtoCNF_Z(X,Y),X)
| element(skolemFOFtoCNF_Z(X,Y),Y)
| set_equal(X,Y) ),
inference(conjunct,[],[normalize_0_2]) ).
fof(normalize_0_9,plain,
~ set_equal(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),
inference(conjunct,[],[normalize_0_5]) ).
fof(normalize_0_10,plain,
! [X,Y,Z] :
( ~ element(Z,Y)
| ~ set_equal(X,Y)
| element(Z,X) ),
inference(conjunct,[],[normalize_0_2]) ).
cnf(refute_0_0,plain,
( ~ element(skolemFOFtoCNF_Z(X,Y),X)
| ~ element(skolemFOFtoCNF_Z(X,Y),Y)
| set_equal(X,Y) ),
inference(canonicalize,[],[normalize_0_3]) ).
cnf(refute_0_1,plain,
( ~ element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_X)
| ~ element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_Y)
| set_equal(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_0:[bind(X,$fot(skolemFOFtoCNF_Y)),bind(Y,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_2,plain,
set_equal(skolemFOFtoCNF_X,skolemFOFtoCNF_Y),
inference(canonicalize,[],[normalize_0_6]) ).
cnf(refute_0_3,plain,
( ~ element(Z,X)
| ~ set_equal(X,Y)
| element(Z,Y) ),
inference(canonicalize,[],[normalize_0_7]) ).
cnf(refute_0_4,plain,
( ~ element(X_9,skolemFOFtoCNF_X)
| ~ set_equal(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| element(X_9,skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_3:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_Y)),bind(Z,$fot(X_9))]]) ).
cnf(refute_0_5,plain,
( ~ element(X_9,skolemFOFtoCNF_X)
| element(X_9,skolemFOFtoCNF_Y) ),
inference(resolve,[$cnf( set_equal(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_2,refute_0_4]) ).
cnf(refute_0_6,plain,
( ~ element(skolemFOFtoCNF_Z(X_13,skolemFOFtoCNF_X),skolemFOFtoCNF_X)
| element(skolemFOFtoCNF_Z(X_13,skolemFOFtoCNF_X),skolemFOFtoCNF_Y) ),
inference(subst,[],[refute_0_5:[bind(X_9,$fot(skolemFOFtoCNF_Z(X_13,skolemFOFtoCNF_X)))]]) ).
cnf(refute_0_7,plain,
( element(skolemFOFtoCNF_Z(X,Y),X)
| element(skolemFOFtoCNF_Z(X,Y),Y)
| set_equal(X,Y) ),
inference(canonicalize,[],[normalize_0_8]) ).
cnf(refute_0_8,plain,
( element(skolemFOFtoCNF_Z(X_13,skolemFOFtoCNF_X),X_13)
| element(skolemFOFtoCNF_Z(X_13,skolemFOFtoCNF_X),skolemFOFtoCNF_X)
| set_equal(X_13,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(X_13)),bind(Y,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_9,plain,
( element(skolemFOFtoCNF_Z(X_13,skolemFOFtoCNF_X),X_13)
| element(skolemFOFtoCNF_Z(X_13,skolemFOFtoCNF_X),skolemFOFtoCNF_Y)
| set_equal(X_13,skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_Z(X_13,skolemFOFtoCNF_X),skolemFOFtoCNF_X) )],[refute_0_8,refute_0_6]) ).
cnf(refute_0_10,plain,
( element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_Y)
| set_equal(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_9:[bind(X_13,$fot(skolemFOFtoCNF_Y))]]) ).
cnf(refute_0_11,plain,
~ set_equal(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),
inference(canonicalize,[],[normalize_0_9]) ).
cnf(refute_0_12,plain,
element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_Y),
inference(resolve,[$cnf( set_equal(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) )],[refute_0_10,refute_0_11]) ).
cnf(refute_0_13,plain,
( ~ element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_X)
| set_equal(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_Y) )],[refute_0_12,refute_0_1]) ).
cnf(refute_0_14,plain,
( ~ element(Z,Y)
| ~ set_equal(X,Y)
| element(Z,X) ),
inference(canonicalize,[],[normalize_0_10]) ).
cnf(refute_0_15,plain,
( ~ element(X_5,skolemFOFtoCNF_Y)
| ~ set_equal(skolemFOFtoCNF_X,skolemFOFtoCNF_Y)
| element(X_5,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_14:[bind(X,$fot(skolemFOFtoCNF_X)),bind(Y,$fot(skolemFOFtoCNF_Y)),bind(Z,$fot(X_5))]]) ).
cnf(refute_0_16,plain,
( ~ element(X_5,skolemFOFtoCNF_Y)
| element(X_5,skolemFOFtoCNF_X) ),
inference(resolve,[$cnf( set_equal(skolemFOFtoCNF_X,skolemFOFtoCNF_Y) )],[refute_0_2,refute_0_15]) ).
cnf(refute_0_17,plain,
( ~ element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,X_14),skolemFOFtoCNF_Y)
| element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,X_14),skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_16:[bind(X_5,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,X_14)))]]) ).
cnf(refute_0_18,plain,
( element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,X_14),X_14)
| element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,X_14),skolemFOFtoCNF_Y)
| set_equal(skolemFOFtoCNF_Y,X_14) ),
inference(subst,[],[refute_0_7:[bind(X,$fot(skolemFOFtoCNF_Y)),bind(Y,$fot(X_14))]]) ).
cnf(refute_0_19,plain,
( element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,X_14),X_14)
| element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,X_14),skolemFOFtoCNF_X)
| set_equal(skolemFOFtoCNF_Y,X_14) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,X_14),skolemFOFtoCNF_Y) )],[refute_0_18,refute_0_17]) ).
cnf(refute_0_20,plain,
( element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_X)
| set_equal(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) ),
inference(subst,[],[refute_0_19:[bind(X_14,$fot(skolemFOFtoCNF_X))]]) ).
cnf(refute_0_21,plain,
element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_X),
inference(resolve,[$cnf( set_equal(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) )],[refute_0_20,refute_0_11]) ).
cnf(refute_0_22,plain,
set_equal(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),
inference(resolve,[$cnf( element(skolemFOFtoCNF_Z(skolemFOFtoCNF_Y,skolemFOFtoCNF_X),skolemFOFtoCNF_X) )],[refute_0_21,refute_0_13]) ).
cnf(refute_0_23,plain,
$false,
inference(resolve,[$cnf( set_equal(skolemFOFtoCNF_Y,skolemFOFtoCNF_X) )],[refute_0_22,refute_0_11]) ).
fof(negate_1_0,plain,
~ ! [X,Y] :
( set_equal(Y,X)
=> set_equal(X,Y) ),
inference(negate,[],[subgoal_1]) ).
fof(normalize_1_0,plain,
! [X,Y] :
( ~ set_equal(X,Y)
<=> ? [Z] :
( ~ element(Z,X)
<=> element(Z,Y) ) ),
inference(canonicalize,[],[pel43_1]) ).
fof(normalize_1_1,plain,
! [X,Y] :
( ~ set_equal(X,Y)
<=> ? [Z] :
( ~ element(Z,X)
<=> element(Z,Y) ) ),
inference(specialize,[],[normalize_1_0]) ).
fof(normalize_1_2,plain,
! [X,Y,Z] :
( ( ~ element(Z,X)
| ~ set_equal(X,Y)
| element(Z,Y) )
& ( ~ element(Z,Y)
| ~ set_equal(X,Y)
| element(Z,X) )
& ( ~ element(skolemFOFtoCNF_Z(X,Y),X)
| ~ element(skolemFOFtoCNF_Z(X,Y),Y)
| set_equal(X,Y) )
& ( element(skolemFOFtoCNF_Z(X,Y),X)
| element(skolemFOFtoCNF_Z(X,Y),Y)
| set_equal(X,Y) ) ),
inference(clausify,[],[normalize_1_1]) ).
fof(normalize_1_3,plain,
! [X,Y] :
( ~ element(skolemFOFtoCNF_Z(X,Y),X)
| ~ element(skolemFOFtoCNF_Z(X,Y),Y)
| set_equal(X,Y) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_4,plain,
? [X,Y] :
( ~ set_equal(X,Y)
& set_equal(Y,X) ),
inference(canonicalize,[],[negate_1_0]) ).
fof(normalize_1_5,plain,
( ~ set_equal(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1)
& set_equal(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_1) ),
inference(skolemize,[],[normalize_1_4]) ).
fof(normalize_1_6,plain,
set_equal(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_1),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_7,plain,
! [X,Y,Z] :
( ~ element(Z,Y)
| ~ set_equal(X,Y)
| element(Z,X) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_8,plain,
! [X,Y] :
( element(skolemFOFtoCNF_Z(X,Y),X)
| element(skolemFOFtoCNF_Z(X,Y),Y)
| set_equal(X,Y) ),
inference(conjunct,[],[normalize_1_2]) ).
fof(normalize_1_9,plain,
~ set_equal(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1),
inference(conjunct,[],[normalize_1_5]) ).
fof(normalize_1_10,plain,
! [X,Y,Z] :
( ~ element(Z,X)
| ~ set_equal(X,Y)
| element(Z,Y) ),
inference(conjunct,[],[normalize_1_2]) ).
cnf(refute_1_0,plain,
( ~ element(skolemFOFtoCNF_Z(X,Y),X)
| ~ element(skolemFOFtoCNF_Z(X,Y),Y)
| set_equal(X,Y) ),
inference(canonicalize,[],[normalize_1_3]) ).
cnf(refute_1_1,plain,
( ~ element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1),skolemFOFtoCNF_X_1)
| ~ element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1),skolemFOFtoCNF_Y_1)
| set_equal(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1) ),
inference(subst,[],[refute_1_0:[bind(X,$fot(skolemFOFtoCNF_X_1)),bind(Y,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_1_2,plain,
set_equal(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_1),
inference(canonicalize,[],[normalize_1_6]) ).
cnf(refute_1_3,plain,
( ~ element(Z,Y)
| ~ set_equal(X,Y)
| element(Z,X) ),
inference(canonicalize,[],[normalize_1_7]) ).
cnf(refute_1_4,plain,
( ~ element(X_20,skolemFOFtoCNF_X_1)
| ~ set_equal(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_1)
| element(X_20,skolemFOFtoCNF_Y_1) ),
inference(subst,[],[refute_1_3:[bind(X,$fot(skolemFOFtoCNF_Y_1)),bind(Y,$fot(skolemFOFtoCNF_X_1)),bind(Z,$fot(X_20))]]) ).
cnf(refute_1_5,plain,
( ~ element(X_20,skolemFOFtoCNF_X_1)
| element(X_20,skolemFOFtoCNF_Y_1) ),
inference(resolve,[$cnf( set_equal(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_1) )],[refute_1_2,refute_1_4]) ).
cnf(refute_1_6,plain,
( ~ element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,X_29),skolemFOFtoCNF_X_1)
| element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,X_29),skolemFOFtoCNF_Y_1) ),
inference(subst,[],[refute_1_5:[bind(X_20,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,X_29)))]]) ).
cnf(refute_1_7,plain,
( element(skolemFOFtoCNF_Z(X,Y),X)
| element(skolemFOFtoCNF_Z(X,Y),Y)
| set_equal(X,Y) ),
inference(canonicalize,[],[normalize_1_8]) ).
cnf(refute_1_8,plain,
( element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,X_29),X_29)
| element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,X_29),skolemFOFtoCNF_X_1)
| set_equal(skolemFOFtoCNF_X_1,X_29) ),
inference(subst,[],[refute_1_7:[bind(X,$fot(skolemFOFtoCNF_X_1)),bind(Y,$fot(X_29))]]) ).
cnf(refute_1_9,plain,
( element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,X_29),X_29)
| element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,X_29),skolemFOFtoCNF_Y_1)
| set_equal(skolemFOFtoCNF_X_1,X_29) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,X_29),skolemFOFtoCNF_X_1) )],[refute_1_8,refute_1_6]) ).
cnf(refute_1_10,plain,
( element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1),skolemFOFtoCNF_Y_1)
| set_equal(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1) ),
inference(subst,[],[refute_1_9:[bind(X_29,$fot(skolemFOFtoCNF_Y_1))]]) ).
cnf(refute_1_11,plain,
~ set_equal(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1),
inference(canonicalize,[],[normalize_1_9]) ).
cnf(refute_1_12,plain,
element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1),skolemFOFtoCNF_Y_1),
inference(resolve,[$cnf( set_equal(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1) )],[refute_1_10,refute_1_11]) ).
cnf(refute_1_13,plain,
( ~ element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1),skolemFOFtoCNF_X_1)
| set_equal(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1) ),
inference(resolve,[$cnf( element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1),skolemFOFtoCNF_Y_1) )],[refute_1_12,refute_1_1]) ).
cnf(refute_1_14,plain,
( ~ element(Z,X)
| ~ set_equal(X,Y)
| element(Z,Y) ),
inference(canonicalize,[],[normalize_1_10]) ).
cnf(refute_1_15,plain,
( ~ element(X_24,skolemFOFtoCNF_Y_1)
| ~ set_equal(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_1)
| element(X_24,skolemFOFtoCNF_X_1) ),
inference(subst,[],[refute_1_14:[bind(X,$fot(skolemFOFtoCNF_Y_1)),bind(Y,$fot(skolemFOFtoCNF_X_1)),bind(Z,$fot(X_24))]]) ).
cnf(refute_1_16,plain,
( ~ element(X_24,skolemFOFtoCNF_Y_1)
| element(X_24,skolemFOFtoCNF_X_1) ),
inference(resolve,[$cnf( set_equal(skolemFOFtoCNF_Y_1,skolemFOFtoCNF_X_1) )],[refute_1_2,refute_1_15]) ).
cnf(refute_1_17,plain,
( ~ element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1),skolemFOFtoCNF_Y_1)
| element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1),skolemFOFtoCNF_X_1) ),
inference(subst,[],[refute_1_16:[bind(X_24,$fot(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1)))]]) ).
cnf(refute_1_18,plain,
element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1),skolemFOFtoCNF_X_1),
inference(resolve,[$cnf( element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1),skolemFOFtoCNF_Y_1) )],[refute_1_12,refute_1_17]) ).
cnf(refute_1_19,plain,
set_equal(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1),
inference(resolve,[$cnf( element(skolemFOFtoCNF_Z(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1),skolemFOFtoCNF_X_1) )],[refute_1_18,refute_1_13]) ).
cnf(refute_1_20,plain,
$false,
inference(resolve,[$cnf( set_equal(skolemFOFtoCNF_X_1,skolemFOFtoCNF_Y_1) )],[refute_1_19,refute_1_11]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SET047+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : metis --show proof --show saturation %s
% 0.13/0.34 % Computer : n019.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 : Sun Jul 10 18:08:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.13/0.35 %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
% 0.13/0.36 % SZS status Theorem 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
% 0.13/0.36
%------------------------------------------------------------------------------